kilobytes = 151.923029645950 q = 5 m = 5 n = 1740 s = 0 t = 20 u = 80 k = 1340 w = 50 ciphertext = [4, 0, 3, 4, 4, 0, 3, 1, 0, 0, 0, 1, 2, 1, 3, 1, 4, 4, 1, 2, 4, 2, 1, 2, 4, 0, 1, 0, 2, 0, 2, 2, 2, 3, 2, 0, 1, 4, 3, 1, 4, 4, 1, 0, 3, 2, 4, 1, 1, 3, 3, 3, 3, 3, 2, 1, 0, 3, 3, 3, 3, 4, 3, 0, 3, 2, 2, 2, 1, 1, 4, 3, 3, 4, 1, 2, 1, 0, 0, 2, 1, 2, 4, 1, 4, 1, 1, 3, 1, 1, 4, 3, 3, 1, 3, 3, 2, 1, 3, 4, 1, 4, 0, 1, 4, 0, 4, 3, 4, 4, 3, 0, 1, 1, 1, 1, 4, 0, 1, 1, 3, 4, 1, 1, 3, 0, 2, 4, 1, 2, 1, 2, 1, 2, 1, 3, 0, 2, 4, 0, 4, 3, 1, 4, 0, 0, 2, 4, 4, 2, 2, 4, 3, 2, 4, 0, 3, 3, 3, 2, 1, 4, 4, 3, 1, 4, 4, 1, 0, 1, 2, 4, 4, 0, 0, 1, 2, 0, 4, 0, 3, 3, 3, 4, 4, 2, 0, 3, 4, 0, 0, 4, 3, 0, 1, 2, 0, 0, 3, 0, 0, 0, 2, 4, 0, 3, 0, 2, 1, 4, 1, 4, 2, 0, 1, 3, 1, 0, 3, 1, 1, 3, 1, 1, 3, 4, 1, 3, 2, 1, 1, 1, 0, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 1, 2, 3, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 3, 2, 4, 0, 2, 2, 0, 1, 3, 1, 3, 1, 3, 3, 3, 2, 0, 0, 3, 1, 2, 1, 1, 1, 1, 0, 2, 1, 4, 0, 1, 3, 3, 0, 0, 2, 0, 0, 2, 2, 1, 0, 4, 4, 0, 4, 3, 0, 3, 0, 3, 1, 0, 3, 1, 2, 0, 2, 3, 0, 0, 2, 1, 3, 3, 4, 0, 4, 1, 2, 3, 2, 2, 1, 0, 2, 0, 0, 1, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 1, 3, 1, 2, 0, 0, 2, 2, 3, 4, 1, 1, 3, 2, 2, 3, 1, 0, 2, 2, 3, 3, 3, 2, 0, 4, 2, 2, 2, 3, 4, 2, 2, 2, 1, 2, 1, 1, 1, 1, 4, 4, 3, 3, 4, 0, 0, 4, 0, 4, 1, 3, 3] recovered_plaintext_using_secret_key = True pubkeycol400 = [2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 3, 0, 3, 0, 1, 0, 4, 0, 0, 4, 4, 1, 1, 2, 3, 1, 4, 3, 4, 4, 1, 4, 2, 2, 3, 2, 2, 3, 0, 1, 2, 0, 2, 2, 4, 4, 2, 2, 3, 3, 3, 2, 3, 0, 2, 1, 3, 2, 3, 0, 4, 3, 3, 2, 3, 1, 1, 3, 1, 3, 4, 1, 2, 0, 0, 4, 3, 0, 1, 4, 3, 1, 0, 0, 1, 1, 4, 2, 0, 0, 0, 3, 0, 2, 3, 4, 2, 3, 1, 1, 3, 0, 2, 3, 0, 2, 0, 0, 4, 1, 1, 1, 2, 0, 1, 4, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 4, 3, 2, 2, 0, 3, 2, 2, 2, 4, 1, 4, 0, 4, 1, 4, 0, 3, 0, 2, 2, 4, 2, 2, 2, 3, 0, 0, 4, 3, 4, 3, 1, 4, 0, 3, 3, 2, 3, 4, 2, 4, 0, 3, 3, 2, 2, 3, 3, 2, 2, 0, 4, 4, 2, 3, 2, 2, 0, 0, 3, 1, 4, 1, 1, 0, 3, 1, 4, 1, 2, 1, 2, 3, 0, 0, 0, 1, 1, 3, 1, 2, 0, 1, 3, 0, 3, 1, 0, 2, 0, 3, 3, 4, 4, 4, 4, 1, 0, 4, 2, 2, 4, 2, 3, 1, 3, 3, 0, 4, 4, 2, 1, 4, 2, 1, 2, 3, 3, 2, 2, 2, 2, 4, 3, 3, 4, 3, 3, 1, 0, 0, 3, 4, 1, 1, 1, 2, 0, 0, 4, 2, 1, 2, 3, 0, 3, 0, 2, 4, 1, 4, 2, 1, 2, 1, 3, 2, 0, 0, 2, 4, 2, 4, 2, 3, 2, 1, 0, 4, 4, 4, 4, 3, 1, 0, 2, 1, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 3, 4, 3, 4, 4, 1, 3, 2, 2, 2, 1, 0, 2, 2, 0, 0, 4, 3, 4, 4, 4, 4, 4, 2, 0, 0, 0, 4, 3, 3, 4, 3, 2, 2, 0, 3, 2, 0, 2, 4, 0, 2, 2, 4, 1, 0, 4, 4, 4, 0, 0, 1, 0, 4, 4, 2, 4, 0, 1, 4, 2, 3, 0, 4, 2, 4, 4, 1, 3, 1, 2, 4, 0, 3, 4, 4, 4, 0, 4, 0, 1] pubkeycol401 = [3, 0, 1, 0, 2, 3, 3, 1, 4, 1, 1, 1, 1, 3, 3, 4, 3, 0, 0, 3, 1, 4, 0, 0, 4, 3, 3, 3, 3, 1, 1, 4, 1, 3, 1, 4, 0, 2, 4, 3, 3, 2, 2, 4, 4, 1, 2, 1, 1, 3, 3, 4, 2, 2, 2, 0, 2, 0, 4, 3, 0, 3, 0, 2, 1, 0, 3, 3, 0, 2, 3, 3, 4, 2, 3, 4, 4, 0, 3, 3, 3, 3, 4, 0, 4, 4, 1, 4, 3, 3, 2, 0, 0, 3, 3, 4, 2, 4, 2, 2, 3, 4, 1, 2, 0, 3, 4, 0, 0, 2, 4, 2, 1, 4, 1, 1, 2, 4, 3, 4, 3, 0, 4, 1, 1, 3, 2, 0, 3, 3, 0, 3, 0, 4, 2, 1, 4, 2, 3, 0, 1, 2, 2, 1, 1, 0, 2, 2, 3, 2, 3, 0, 0, 4, 0, 0, 2, 2, 2, 1, 1, 4, 4, 1, 2, 1, 3, 2, 3, 3, 0, 1, 1, 2, 0, 4, 1, 3, 1, 3, 4, 0, 3, 3, 2, 2, 4, 2, 0, 3, 1, 0, 1, 4, 2, 2, 3, 3, 2, 1, 1, 0, 4, 2, 4, 4, 4, 0, 3, 3, 2, 4, 4, 2, 1, 2, 2, 3, 4, 2, 1, 3, 0, 2, 0, 0, 0, 1, 1, 4, 4, 2, 3, 2, 4, 2, 4, 2, 2, 0, 3, 4, 1, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 2, 1, 2, 4, 0, 1, 4, 0, 4, 4, 1, 0, 3, 1, 3, 3, 4, 4, 2, 4, 2, 3, 3, 0, 1, 1, 4, 0, 3, 3, 0, 1, 2, 2, 0, 1, 4, 2, 3, 2, 4, 2, 4, 3, 0, 1, 3, 0, 0, 4, 4, 1, 2, 4, 2, 3, 3, 4, 1, 4, 2, 1, 4, 1, 4, 4, 0, 1, 4, 2, 2, 1, 3, 1, 1, 0, 1, 4, 2, 1, 1, 3, 3, 0, 2, 3, 3, 2, 2, 1, 4, 4, 1, 4, 4, 3, 4, 4, 0, 0, 0, 2, 1, 0, 1, 4, 0, 1, 0, 0, 4, 0, 4, 0, 0, 0, 0, 3, 3, 1, 1, 0, 1, 3, 1, 4, 3, 3, 3, 4, 0, 3, 0, 3, 3, 4, 3, 3, 0, 3, 1, 3, 1, 2, 3] pubkeycol402 = [0, 1, 0, 2, 3, 1, 0, 2, 3, 2, 4, 3, 3, 2, 4, 4, 2, 2, 1, 3, 3, 3, 1, 1, 4, 3, 2, 4, 2, 3, 2, 4, 0, 3, 3, 3, 3, 2, 3, 0, 0, 2, 3, 4, 2, 0, 2, 0, 4, 4, 2, 0, 2, 3, 2, 1, 3, 3, 2, 3, 1, 1, 4, 0, 3, 0, 4, 1, 3, 1, 1, 0, 0, 2, 3, 2, 4, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 3, 4, 0, 0, 3, 0, 3, 0, 3, 2, 0, 1, 1, 0, 3, 2, 0, 4, 1, 2, 3, 1, 2, 0, 4, 3, 3, 2, 0, 0, 2, 0, 1, 0, 3, 3, 1, 2, 4, 1, 4, 3, 0, 4, 2, 3, 3, 2, 1, 4, 1, 0, 2, 1, 3, 1, 3, 3, 0, 3, 3, 2, 3, 0, 0, 4, 3, 1, 1, 4, 4, 2, 1, 0, 2, 3, 1, 4, 2, 3, 2, 3, 0, 0, 1, 1, 3, 2, 1, 4, 1, 3, 4, 0, 0, 1, 2, 1, 2, 0, 3, 3, 2, 3, 4, 1, 4, 2, 4, 2, 0, 3, 4, 1, 4, 4, 4, 0, 1, 0, 1, 1, 3, 3, 1, 4, 1, 1, 4, 4, 1, 4, 0, 3, 2, 2, 1, 2, 0, 3, 4, 1, 1, 3, 0, 0, 0, 3, 0, 1, 2, 2, 2, 0, 0, 3, 0, 2, 1, 1, 0, 1, 1, 3, 4, 2, 1, 2, 4, 0, 3, 4, 1, 2, 0, 1, 1, 3, 1, 1, 1, 4, 2, 2, 3, 3, 0, 1, 3, 2, 0, 1, 1, 2, 1, 1, 3, 0, 3, 4, 0, 4, 0, 2, 2, 1, 3, 0, 0, 4, 3, 1, 2, 2, 3, 0, 1, 0, 2, 4, 2, 0, 4, 4, 2, 3, 1, 1, 2, 0, 3, 0, 3, 1, 0, 3, 4, 4, 2, 2, 4, 4, 0, 1, 2, 1, 3, 1, 0, 2, 1, 1, 1, 1, 0, 4, 4, 0, 4, 2, 3, 0, 2, 0, 4, 1, 2, 4, 3, 0, 0, 0, 3, 1, 0, 1, 3, 4, 2, 1, 4, 2, 2, 3, 2, 1, 2, 4, 0, 4, 4, 1, 1, 3, 1, 0, 1, 2, 4, 3, 4, 1, 1, 2, 3, 0, 2, 4, 1, 2, 4, 2] pubkeycol403 = [3, 4, 1, 2, 1, 4, 1, 4, 1, 3, 1, 3, 0, 2, 2, 2, 4, 3, 1, 4, 1, 4, 2, 4, 2, 2, 1, 1, 4, 1, 2, 1, 3, 0, 3, 1, 1, 1, 4, 4, 0, 1, 4, 1, 4, 0, 3, 0, 3, 2, 2, 1, 4, 0, 3, 2, 1, 4, 3, 3, 0, 0, 3, 0, 1, 1, 3, 3, 0, 2, 3, 1, 2, 3, 4, 3, 3, 2, 0, 2, 4, 1, 1, 2, 2, 3, 2, 4, 1, 3, 1, 2, 1, 0, 2, 2, 3, 4, 0, 1, 0, 2, 3, 1, 4, 3, 0, 3, 0, 0, 3, 2, 0, 3, 4, 1, 4, 1, 2, 0, 2, 0, 2, 1, 1, 1, 4, 3, 3, 3, 4, 2, 4, 3, 2, 4, 1, 2, 1, 3, 1, 0, 0, 1, 1, 3, 0, 4, 4, 1, 4, 4, 0, 1, 2, 3, 0, 1, 0, 0, 4, 2, 4, 1, 2, 4, 4, 1, 0, 4, 3, 0, 1, 2, 1, 0, 3, 3, 1, 2, 0, 2, 2, 1, 4, 4, 4, 1, 3, 1, 3, 3, 1, 4, 0, 0, 4, 3, 3, 4, 2, 2, 1, 4, 3, 4, 2, 3, 3, 4, 2, 0, 4, 3, 2, 2, 0, 2, 4, 3, 3, 0, 3, 4, 1, 2, 2, 2, 0, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 4, 2, 2, 2, 3, 4, 4, 3, 1, 0, 3, 3, 1, 0, 2, 4, 1, 1, 2, 0, 3, 3, 4, 4, 2, 3, 0, 3, 0, 2, 0, 3, 4, 4, 4, 0, 0, 3, 2, 0, 1, 0, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 1, 3, 4, 3, 3, 2, 3, 3, 1, 3, 2, 3, 0, 3, 0, 2, 0, 1, 2, 3, 0, 0, 4, 0, 2, 4, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 2, 4, 2, 3, 1, 3, 0, 4, 0, 4, 3, 0, 3, 3, 2, 4, 4, 4, 2, 4, 0, 4, 4, 3, 2, 4, 3, 2, 1, 4, 0, 0, 1, 3, 4, 3, 1, 4, 0, 2, 2, 1, 3, 1, 0, 2, 1, 1, 1, 4, 3, 0, 0, 1, 4, 3, 1, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 4, 1, 1, 0, 1, 0] pubkeycol404 = [2, 4, 3, 3, 2, 4, 2, 0, 0, 0, 3, 0, 2, 3, 3, 2, 0, 1, 4, 0, 0, 1, 2, 4, 1, 4, 1, 1, 3, 4, 0, 1, 4, 2, 3, 1, 0, 4, 0, 3, 3, 0, 1, 2, 0, 0, 0, 0, 3, 1, 2, 4, 3, 0, 4, 3, 2, 3, 2, 4, 0, 0, 1, 3, 4, 3, 3, 4, 3, 1, 3, 4, 2, 4, 0, 2, 2, 0, 0, 1, 4, 0, 2, 1, 1, 0, 3, 2, 4, 0, 4, 0, 1, 3, 0, 4, 1, 2, 3, 2, 4, 0, 1, 0, 3, 2, 1, 1, 4, 2, 0, 1, 4, 4, 1, 1, 1, 0, 1, 0, 2, 3, 0, 4, 3, 0, 1, 3, 4, 0, 4, 4, 2, 4, 2, 1, 2, 1, 0, 4, 1, 3, 0, 3, 2, 0, 1, 2, 0, 0, 4, 0, 2, 0, 2, 0, 1, 4, 4, 3, 4, 4, 3, 0, 2, 1, 2, 4, 0, 2, 4, 0, 1, 2, 1, 4, 3, 1, 2, 3, 0, 4, 3, 3, 0, 3, 2, 0, 3, 1, 4, 3, 1, 0, 1, 3, 0, 2, 4, 0, 3, 1, 0, 2, 0, 3, 3, 4, 1, 3, 1, 0, 4, 1, 2, 3, 4, 0, 0, 1, 4, 3, 0, 4, 0, 3, 0, 4, 2, 3, 3, 3, 3, 2, 4, 1, 0, 0, 2, 4, 2, 2, 3, 4, 1, 1, 0, 3, 2, 4, 4, 4, 3, 1, 3, 0, 3, 1, 2, 1, 4, 0, 4, 3, 3, 0, 1, 1, 4, 0, 2, 4, 0, 0, 4, 4, 3, 2, 1, 3, 2, 4, 1, 3, 2, 3, 2, 4, 2, 0, 0, 3, 1, 1, 1, 1, 4, 2, 2, 0, 0, 1, 4, 2, 2, 4, 1, 1, 1, 3, 2, 1, 0, 2, 1, 2, 2, 0, 4, 2, 0, 1, 0, 2, 1, 3, 2, 0, 2, 0, 3, 1, 4, 2, 1, 1, 3, 0, 0, 4, 2, 2, 2, 3, 2, 3, 4, 2, 4, 1, 3, 1, 3, 3, 0, 4, 1, 1, 3, 2, 0, 4, 0, 4, 0, 0, 1, 0, 2, 0, 1, 0, 0, 4, 1, 3, 0, 3, 0, 0, 2, 4, 1, 2, 3, 4, 1, 0, 1, 0, 3, 3, 3, 3, 0, 2, 2, 0, 0, 2] pubkeycol405 = [4, 3, 1, 1, 4, 2, 1, 1, 3, 3, 2, 3, 1, 3, 0, 4, 3, 1, 2, 1, 0, 4, 4, 3, 3, 1, 3, 4, 4, 4, 2, 3, 4, 1, 2, 1, 4, 3, 2, 4, 1, 0, 4, 3, 4, 3, 3, 0, 0, 1, 1, 2, 4, 4, 2, 0, 0, 0, 3, 0, 0, 4, 1, 4, 2, 4, 2, 3, 0, 3, 2, 2, 1, 2, 3, 4, 3, 0, 4, 1, 0, 3, 4, 0, 2, 1, 2, 3, 0, 2, 3, 3, 2, 4, 2, 3, 4, 3, 3, 4, 0, 1, 4, 2, 3, 4, 2, 0, 2, 1, 0, 0, 3, 2, 4, 4, 2, 4, 0, 3, 1, 4, 3, 4, 4, 0, 1, 4, 3, 2, 0, 4, 3, 2, 1, 2, 0, 4, 3, 2, 1, 3, 1, 4, 2, 2, 2, 1, 3, 4, 2, 3, 4, 1, 3, 0, 0, 3, 4, 0, 1, 3, 3, 0, 1, 0, 0, 1, 3, 3, 2, 3, 3, 3, 2, 4, 2, 2, 0, 1, 2, 0, 0, 4, 4, 0, 0, 4, 3, 0, 4, 2, 2, 4, 2, 2, 2, 4, 1, 3, 2, 3, 3, 3, 1, 4, 4, 3, 0, 3, 3, 2, 0, 0, 3, 0, 0, 4, 0, 4, 1, 3, 3, 2, 0, 3, 3, 1, 1, 2, 4, 2, 0, 1, 1, 4, 3, 3, 2, 1, 1, 1, 1, 4, 2, 4, 0, 0, 4, 4, 0, 4, 2, 4, 1, 4, 4, 4, 3, 1, 3, 3, 4, 1, 0, 1, 3, 0, 3, 2, 1, 4, 0, 3, 1, 0, 4, 0, 3, 4, 2, 1, 3, 1, 0, 0, 4, 2, 1, 3, 2, 1, 3, 0, 1, 2, 0, 0, 2, 2, 1, 1, 4, 1, 4, 4, 3, 3, 1, 0, 0, 4, 3, 0, 1, 0, 2, 4, 2, 4, 2, 3, 4, 1, 3, 4, 1, 0, 3, 3, 2, 1, 1, 3, 3, 2, 0, 3, 0, 4, 2, 0, 2, 3, 4, 3, 3, 2, 0, 1, 0, 1, 4, 0, 2, 4, 2, 4, 4, 2, 2, 2, 3, 0, 4, 4, 1, 4, 1, 0, 4, 0, 0, 2, 0, 1, 4, 2, 0, 3, 0, 0, 2, 0, 2, 1, 3, 0, 3, 3, 0, 3, 4, 3, 1, 3, 2, 4, 3, 1] pubkeycol406 = [0, 2, 3, 1, 4, 0, 1, 0, 3, 1, 1, 2, 3, 1, 4, 2, 1, 0, 4, 1, 3, 3, 1, 2, 0, 2, 4, 1, 0, 3, 4, 0, 2, 0, 4, 3, 0, 4, 2, 1, 4, 3, 0, 0, 0, 1, 2, 3, 3, 2, 1, 4, 0, 3, 3, 2, 2, 4, 1, 1, 0, 2, 0, 3, 0, 1, 1, 4, 0, 3, 2, 2, 0, 4, 3, 3, 4, 1, 1, 2, 3, 2, 2, 3, 4, 1, 1, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 3, 2, 3, 1, 1, 0, 2, 0, 4, 2, 4, 3, 4, 2, 2, 3, 4, 1, 4, 1, 4, 3, 3, 0, 2, 2, 1, 4, 1, 2, 0, 1, 0, 1, 4, 3, 2, 0, 3, 4, 3, 1, 1, 1, 3, 1, 2, 0, 2, 3, 0, 2, 2, 3, 0, 4, 3, 3, 2, 0, 1, 2, 2, 4, 4, 0, 2, 0, 3, 3, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 3, 3, 2, 0, 2, 4, 4, 2, 1, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 3, 2, 2, 4, 3, 3, 1, 3, 4, 2, 4, 1, 0, 2, 3, 4, 0, 3, 0, 3, 4, 2, 1, 1, 2, 0, 0, 1, 0, 4, 0, 0, 1, 0, 0, 2, 0, 3, 1, 3, 0, 3, 2, 2, 0, 1, 0, 1, 0, 4, 4, 0, 1, 1, 3, 4, 3, 0, 2, 3, 1, 1, 4, 3, 0, 3, 0, 0, 3, 1, 0, 1, 2, 1, 1, 2, 1, 0, 4, 4, 0, 2, 0, 2, 3, 2, 3, 0, 1, 3, 3, 1, 3, 4, 4, 0, 2, 0, 1, 0, 0, 4, 3, 0, 1, 0, 1, 4, 2, 4, 1, 3, 1, 0, 4, 3, 4, 3, 4, 1, 3, 4, 4, 1, 0, 4, 3, 3, 4, 4, 1, 3, 3, 4, 2, 2, 0, 4, 0, 0, 4, 0, 3, 1, 0, 2, 1, 0, 1, 4, 0, 1, 3, 4, 0, 0, 0, 0, 1, 4, 3, 1, 2, 0, 2, 4, 3, 4, 2, 4, 0, 1, 0, 2, 3, 0, 4, 1, 4, 0, 1, 3, 0, 1, 0, 0, 3, 2, 0, 4, 3, 1, 3, 1, 2, 2, 2, 2, 1, 2, 2, 4] pubkeycol407 = [0, 4, 3, 3, 1, 4, 1, 3, 4, 3, 3, 4, 1, 3, 3, 1, 4, 3, 2, 0, 3, 0, 2, 2, 0, 4, 3, 3, 3, 4, 3, 3, 0, 2, 3, 0, 1, 0, 4, 3, 2, 3, 1, 4, 4, 0, 4, 3, 0, 4, 0, 0, 0, 0, 1, 3, 2, 0, 4, 4, 2, 3, 1, 4, 1, 2, 2, 4, 2, 4, 0, 1, 0, 1, 1, 3, 2, 2, 3, 2, 0, 4, 2, 3, 1, 1, 4, 0, 3, 3, 4, 4, 2, 3, 3, 0, 4, 4, 1, 2, 3, 0, 0, 2, 0, 3, 3, 3, 1, 3, 3, 2, 4, 3, 3, 4, 4, 3, 0, 1, 1, 4, 2, 1, 3, 3, 3, 2, 2, 4, 1, 2, 3, 1, 3, 0, 0, 2, 1, 2, 0, 1, 0, 1, 4, 2, 0, 3, 3, 4, 3, 2, 2, 1, 0, 3, 1, 0, 1, 0, 3, 3, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 4, 2, 0, 0, 4, 1, 0, 0, 2, 4, 2, 2, 0, 2, 1, 0, 0, 0, 1, 3, 1, 2, 2, 0, 3, 2, 3, 0, 3, 3, 4, 0, 0, 2, 4, 4, 1, 0, 4, 0, 0, 2, 1, 3, 2, 4, 1, 0, 2, 4, 3, 3, 2, 1, 3, 2, 4, 4, 2, 2, 1, 1, 1, 1, 0, 2, 0, 3, 0, 0, 0, 1, 1, 3, 4, 3, 4, 2, 0, 4, 4, 3, 4, 1, 0, 1, 4, 1, 0, 4, 2, 4, 4, 4, 3, 1, 2, 2, 2, 1, 0, 3, 1, 3, 1, 3, 2, 1, 4, 2, 0, 3, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 4, 1, 3, 3, 3, 2, 3, 4, 1, 1, 3, 4, 0, 1, 2, 0, 2, 3, 2, 2, 3, 2, 0, 3, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 3, 0, 1, 1, 3, 2, 0, 1, 0, 0, 2, 4, 2, 3, 0, 1, 3, 0, 2, 3, 1, 2, 3, 3, 4, 1, 0, 2, 0, 2, 2, 4, 2, 4, 3, 4, 3, 0, 1, 3, 2, 0, 1, 4, 0, 4, 2, 1, 2, 3, 3, 0, 1, 1, 0, 3, 3, 4, 3, 4, 2, 0, 2, 2, 0, 0, 3, 1, 0, 0, 0, 0] pubkeycol408 = [3, 2, 0, 4, 4, 1, 0, 0, 4, 4, 2, 1, 4, 4, 3, 2, 1, 4, 2, 0, 4, 1, 1, 1, 2, 3, 0, 1, 4, 1, 2, 2, 2, 0, 2, 3, 4, 2, 3, 0, 2, 1, 0, 4, 2, 2, 3, 2, 4, 1, 4, 3, 3, 4, 2, 0, 4, 1, 3, 2, 1, 0, 4, 3, 3, 2, 1, 0, 4, 3, 0, 0, 1, 4, 1, 0, 2, 1, 4, 4, 0, 1, 2, 4, 3, 3, 0, 1, 4, 1, 1, 4, 2, 3, 0, 4, 3, 0, 0, 2, 2, 3, 2, 3, 1, 0, 3, 0, 4, 2, 3, 1, 3, 4, 4, 0, 3, 1, 1, 2, 2, 2, 4, 2, 0, 4, 1, 4, 2, 2, 3, 2, 1, 0, 2, 3, 1, 4, 4, 3, 3, 2, 2, 1, 1, 3, 0, 2, 0, 0, 2, 1, 4, 0, 2, 4, 3, 4, 1, 4, 0, 1, 3, 4, 1, 2, 1, 4, 0, 1, 3, 0, 0, 4, 4, 3, 3, 2, 1, 0, 4, 2, 3, 4, 2, 3, 2, 4, 2, 3, 2, 2, 3, 2, 3, 3, 1, 0, 4, 4, 4, 3, 1, 4, 0, 1, 0, 0, 2, 2, 2, 0, 3, 0, 1, 4, 4, 0, 3, 4, 0, 3, 1, 3, 4, 3, 0, 0, 3, 0, 4, 2, 3, 3, 2, 4, 0, 2, 1, 0, 3, 3, 3, 4, 1, 0, 2, 1, 3, 2, 0, 2, 3, 1, 3, 3, 2, 0, 4, 3, 0, 1, 3, 2, 4, 3, 1, 3, 2, 3, 2, 2, 0, 3, 4, 4, 2, 2, 4, 0, 3, 2, 0, 3, 3, 1, 3, 1, 4, 1, 3, 0, 1, 2, 0, 2, 4, 2, 4, 3, 3, 3, 4, 4, 0, 2, 0, 1, 1, 4, 4, 3, 0, 1, 0, 3, 0, 3, 1, 2, 3, 4, 2, 1, 0, 0, 4, 2, 2, 2, 3, 0, 2, 3, 2, 0, 3, 2, 0, 0, 3, 1, 3, 3, 1, 0, 3, 2, 3, 4, 3, 1, 2, 1, 0, 4, 1, 3, 1, 4, 0, 3, 2, 3, 1, 4, 1, 4, 1, 1, 4, 3, 0, 0, 0, 1, 2, 3, 0, 3, 0, 4, 3, 1, 1, 3, 0, 4, 1, 2, 4, 4, 2, 2, 0, 1, 3, 4, 1, 2] pubkeycol409 = [4, 3, 4, 3, 4, 1, 2, 3, 1, 0, 1, 3, 0, 3, 2, 3, 2, 4, 0, 1, 4, 2, 0, 0, 2, 3, 0, 0, 4, 2, 0, 3, 0, 0, 0, 3, 4, 2, 3, 0, 1, 0, 4, 0, 3, 3, 3, 4, 3, 1, 3, 1, 1, 0, 4, 2, 0, 3, 4, 1, 1, 2, 3, 4, 0, 1, 3, 3, 0, 1, 1, 3, 1, 2, 1, 3, 4, 3, 1, 3, 0, 4, 4, 3, 2, 2, 2, 3, 0, 0, 0, 0, 4, 0, 3, 3, 0, 4, 3, 1, 0, 2, 1, 1, 3, 2, 1, 1, 4, 3, 3, 3, 2, 1, 2, 4, 3, 4, 3, 0, 3, 4, 4, 1, 0, 4, 4, 1, 1, 1, 2, 4, 0, 3, 2, 1, 4, 3, 4, 0, 3, 0, 3, 2, 3, 4, 2, 0, 2, 4, 1, 3, 4, 1, 4, 0, 4, 2, 4, 0, 2, 3, 1, 3, 2, 4, 3, 0, 1, 4, 1, 4, 0, 2, 2, 3, 0, 4, 2, 2, 3, 1, 2, 0, 0, 2, 4, 4, 4, 4, 2, 4, 1, 3, 1, 1, 0, 3, 3, 3, 3, 1, 1, 1, 4, 2, 0, 2, 0, 1, 1, 3, 4, 1, 0, 0, 2, 0, 1, 1, 3, 2, 4, 4, 1, 1, 2, 2, 2, 4, 4, 4, 3, 2, 1, 0, 4, 0, 4, 2, 0, 0, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 3, 1, 0, 2, 1, 4, 1, 1, 0, 2, 1, 1, 4, 3, 3, 4, 1, 1, 1, 1, 1, 3, 1, 4, 2, 0, 0, 1, 2, 3, 3, 1, 2, 4, 0, 2, 0, 3, 1, 4, 3, 0, 2, 0, 0, 4, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 3, 2, 4, 1, 2, 1, 0, 1, 4, 0, 3, 1, 0, 0, 2, 2, 2, 0, 3, 4, 0, 4, 2, 3, 0, 0, 4, 0, 0, 3, 0, 1, 4, 0, 3, 2, 1, 3, 3, 2, 0, 1, 1, 0, 3, 4, 1, 0, 3, 3, 1, 1, 2, 1, 0, 1, 0, 3, 2, 3, 1, 1, 0, 1, 1, 0, 0, 3, 2, 0, 2, 3, 4, 1, 4, 4, 1, 3, 1, 3, 4, 0, 2, 2, 1, 3, 2, 1, 1] pubkeycol410 = [0, 0, 2, 4, 1, 4, 4, 3, 2, 4, 1, 1, 0, 0, 3, 3, 4, 1, 0, 4, 0, 1, 2, 3, 0, 2, 4, 4, 3, 2, 4, 1, 2, 2, 1, 0, 3, 2, 3, 4, 0, 0, 1, 1, 4, 3, 2, 3, 2, 3, 1, 4, 2, 3, 2, 3, 3, 0, 4, 2, 2, 0, 2, 2, 1, 4, 0, 4, 4, 3, 0, 1, 1, 3, 2, 3, 2, 1, 3, 1, 1, 0, 3, 2, 0, 4, 3, 0, 1, 1, 0, 1, 0, 2, 0, 4, 0, 3, 4, 0, 1, 0, 2, 4, 2, 3, 4, 3, 3, 4, 0, 2, 1, 2, 0, 0, 0, 4, 4, 1, 2, 2, 1, 0, 0, 1, 1, 1, 4, 0, 1, 0, 1, 3, 1, 1, 1, 4, 3, 3, 2, 1, 3, 4, 2, 3, 2, 3, 4, 0, 1, 3, 2, 0, 4, 0, 1, 1, 1, 0, 2, 2, 2, 3, 4, 3, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 3, 4, 4, 4, 2, 1, 2, 3, 4, 3, 3, 0, 3, 3, 4, 0, 3, 0, 1, 3, 2, 3, 2, 4, 4, 3, 4, 1, 0, 1, 1, 0, 2, 0, 3, 2, 2, 2, 3, 1, 3, 3, 1, 1, 4, 2, 2, 4, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 1, 0, 0, 4, 3, 1, 4, 0, 3, 1, 3, 1, 3, 0, 3, 3, 4, 2, 1, 1, 4, 2, 3, 0, 0, 4, 0, 4, 4, 2, 3, 3, 1, 4, 0, 0, 1, 0, 0, 1, 3, 3, 0, 0, 2, 0, 2, 4, 0, 4, 3, 1, 3, 0, 2, 2, 0, 4, 4, 3, 2, 0, 2, 1, 4, 0, 1, 1, 1, 2, 2, 1, 4, 4, 0, 4, 1, 3, 1, 4, 0, 1, 2, 3, 2, 3, 3, 3, 0, 0, 1, 3, 4, 2, 0, 3, 0, 2, 2, 1, 2, 3, 4, 2, 2, 1, 2, 0, 2, 4, 3, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 2, 3, 4, 2, 3, 1, 3, 1, 0, 2, 0, 0, 4, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 3, 4, 1, 4, 0, 2, 4, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 3, 1, 4, 4] pubkeycol411 = [3, 2, 2, 4, 3, 4, 4, 4, 3, 2, 1, 1, 0, 3, 3, 3, 1, 1, 2, 4, 4, 3, 1, 1, 0, 4, 0, 2, 3, 1, 1, 2, 4, 2, 2, 4, 3, 3, 3, 0, 4, 2, 2, 4, 0, 3, 2, 1, 4, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 3, 3, 3, 2, 2, 3, 1, 4, 2, 0, 3, 0, 3, 1, 0, 2, 4, 3, 2, 1, 4, 0, 3, 1, 1, 3, 3, 4, 0, 3, 0, 2, 2, 2, 0, 0, 2, 4, 4, 4, 1, 2, 0, 3, 3, 0, 0, 1, 4, 2, 0, 1, 2, 2, 3, 3, 0, 2, 3, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 3, 2, 4, 1, 4, 2, 3, 0, 2, 1, 4, 0, 2, 3, 2, 2, 4, 3, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 3, 1, 0, 1, 1, 3, 3, 0, 4, 0, 3, 3, 1, 1, 3, 1, 2, 4, 2, 4, 4, 4, 1, 0, 2, 3, 4, 4, 4, 4, 1, 1, 2, 4, 1, 1, 2, 3, 0, 4, 1, 4, 2, 4, 1, 4, 3, 0, 4, 1, 0, 2, 2, 2, 0, 3, 0, 4, 1, 4, 0, 4, 2, 4, 2, 2, 3, 4, 0, 0, 4, 4, 3, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 3, 2, 0, 0, 3, 1, 3, 4, 4, 0, 2, 4, 0, 4, 2, 0, 2, 4, 3, 4, 2, 0, 3, 1, 4, 4, 2, 2, 4, 4, 4, 4, 1, 1, 3, 1, 0, 3, 2, 3, 2, 2, 0, 4, 1, 4, 1, 1, 3, 2, 1, 2, 4, 4, 4, 4, 1, 2, 0, 4, 3, 4, 4, 3, 1, 4, 3, 0, 0, 3, 4, 3, 2, 1, 2, 4, 0, 0, 1, 1, 4, 1, 4, 4, 4, 3, 3, 2, 3, 1, 2, 2, 3, 3, 1, 2, 4, 0, 2, 1, 0, 4, 4, 0, 1, 2, 3, 3, 3, 4, 3, 4, 0, 0, 2, 2, 0, 0, 3, 3, 2, 4, 0, 0, 1, 4, 1, 4, 1, 2, 0, 2, 2, 0, 1, 2, 0, 4, 2, 2, 3, 2, 4, 0, 1, 4, 3, 3, 1, 3, 2, 2, 1, 4, 3] pubkeycol412 = [0, 0, 0, 4, 3, 2, 2, 4, 3, 1, 4, 1, 3, 2, 0, 1, 1, 4, 2, 4, 3, 1, 0, 2, 0, 4, 1, 2, 2, 4, 4, 3, 4, 0, 1, 1, 2, 3, 3, 1, 3, 4, 0, 3, 2, 1, 4, 3, 4, 0, 3, 1, 0, 1, 2, 1, 2, 4, 0, 0, 4, 2, 4, 1, 4, 3, 4, 2, 2, 0, 3, 3, 3, 0, 0, 4, 3, 1, 0, 2, 4, 3, 4, 1, 4, 4, 3, 4, 2, 0, 4, 1, 0, 4, 4, 4, 4, 3, 3, 4, 1, 4, 0, 1, 3, 1, 1, 4, 4, 3, 1, 4, 2, 0, 3, 2, 4, 3, 4, 0, 0, 0, 0, 1, 4, 1, 1, 4, 0, 3, 1, 2, 4, 2, 4, 2, 0, 3, 4, 2, 2, 3, 3, 4, 4, 1, 4, 4, 0, 1, 4, 2, 1, 0, 1, 2, 4, 2, 3, 4, 4, 1, 2, 2, 2, 0, 4, 0, 4, 0, 2, 1, 2, 3, 3, 2, 0, 4, 3, 0, 3, 0, 4, 0, 3, 2, 0, 1, 1, 0, 0, 1, 3, 3, 1, 2, 1, 4, 2, 2, 1, 1, 2, 4, 2, 0, 3, 1, 4, 0, 2, 1, 4, 0, 0, 2, 1, 2, 2, 1, 2, 1, 3, 2, 1, 1, 2, 1, 0, 4, 2, 1, 1, 0, 0, 3, 4, 4, 3, 4, 1, 0, 2, 4, 1, 4, 3, 4, 4, 3, 1, 2, 0, 4, 2, 2, 0, 0, 1, 4, 1, 1, 4, 3, 4, 0, 4, 2, 2, 4, 4, 1, 0, 0, 4, 3, 0, 4, 0, 1, 4, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 3, 0, 1, 4, 3, 4, 1, 2, 4, 2, 1, 2, 3, 3, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3, 2, 3, 2, 3, 0, 0, 3, 0, 1, 3, 0, 4, 1, 3, 0, 4, 2, 3, 1, 0, 2, 1, 4, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 4, 4, 4, 2, 2, 2, 4, 2, 3, 2, 4, 4, 1, 2, 4, 2, 0, 0, 3, 2, 4, 4, 0, 3, 0, 1, 1, 4, 2, 2, 3, 4, 3, 2, 4, 0, 4, 3, 2, 3, 3, 4, 4] pubkeycol413 = [2, 1, 4, 4, 4, 4, 1, 3, 1, 3, 3, 2, 0, 4, 1, 2, 0, 3, 4, 4, 3, 3, 0, 3, 3, 0, 1, 4, 0, 3, 4, 1, 3, 3, 1, 0, 4, 4, 3, 0, 1, 3, 0, 2, 2, 0, 1, 2, 3, 2, 1, 0, 2, 3, 2, 1, 3, 3, 4, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 4, 2, 4, 3, 2, 2, 3, 4, 3, 0, 2, 1, 4, 3, 2, 0, 1, 0, 3, 0, 0, 2, 0, 3, 4, 3, 2, 4, 4, 4, 0, 2, 0, 4, 1, 3, 1, 2, 0, 1, 2, 1, 2, 4, 3, 0, 3, 0, 1, 2, 1, 3, 0, 3, 1, 3, 2, 2, 3, 3, 0, 0, 3, 4, 2, 4, 2, 3, 1, 0, 2, 2, 4, 0, 2, 4, 0, 0, 4, 1, 0, 3, 3, 1, 0, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 1, 4, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 4, 2, 3, 0, 2, 4, 2, 0, 0, 3, 0, 3, 1, 3, 0, 1, 3, 2, 3, 0, 3, 4, 1, 1, 3, 1, 3, 4, 1, 3, 0, 2, 0, 3, 3, 1, 2, 0, 0, 1, 4, 0, 3, 3, 4, 3, 3, 4, 4, 4, 4, 1, 4, 1, 0, 3, 2, 3, 3, 1, 3, 2, 0, 0, 1, 1, 4, 0, 0, 4, 0, 0, 2, 4, 2, 0, 2, 3, 1, 1, 0, 2, 2, 1, 2, 3, 3, 4, 1, 3, 0, 1, 3, 3, 1, 2, 1, 2, 1, 2, 3, 2, 3, 3, 4, 2, 1, 0, 0, 4, 0, 4, 3, 4, 3, 3, 0, 1, 1, 1, 1, 3, 4, 2, 0, 2, 3, 2, 3, 4, 1, 3, 0, 2, 1, 0, 3, 1, 3, 1, 2, 4, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 2, 2, 4, 4, 2, 1, 1, 3, 0, 2, 0, 4, 3, 2, 0, 0, 4, 2, 0, 2, 1, 2, 4, 2, 1, 3, 1, 1, 4, 1, 1, 1, 1, 1, 4, 0, 0, 0, 3, 4, 4, 1, 2, 3, 0, 0, 4, 4, 2, 1] pubkeycol414 = [4, 4, 0, 2, 2, 4, 3, 4, 3, 3, 3, 1, 0, 2, 4, 4, 3, 0, 1, 1, 3, 0, 0, 1, 2, 3, 3, 4, 4, 0, 4, 2, 3, 3, 1, 1, 1, 2, 2, 0, 2, 1, 1, 4, 3, 2, 2, 2, 0, 0, 4, 1, 3, 0, 4, 2, 0, 1, 3, 4, 2, 2, 3, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 4, 4, 1, 3, 2, 3, 3, 0, 3, 1, 0, 3, 2, 0, 1, 1, 2, 3, 4, 3, 3, 4, 1, 1, 2, 2, 4, 2, 0, 4, 2, 0, 0, 3, 0, 2, 0, 4, 0, 1, 2, 2, 1, 1, 1, 3, 4, 1, 0, 3, 2, 0, 1, 4, 0, 1, 2, 4, 0, 0, 0, 1, 2, 2, 4, 3, 1, 3, 4, 1, 3, 2, 0, 2, 2, 2, 0, 2, 0, 2, 3, 0, 4, 1, 3, 4, 3, 1, 2, 3, 4, 3, 3, 4, 4, 3, 1, 4, 1, 3, 2, 0, 2, 0, 3, 0, 0, 2, 3, 0, 0, 1, 4, 3, 1, 1, 1, 2, 1, 2, 4, 3, 4, 0, 0, 3, 0, 0, 2, 0, 1, 0, 3, 1, 0, 3, 1, 4, 0, 4, 3, 3, 2, 2, 3, 4, 0, 2, 3, 1, 1, 1, 0, 4, 4, 2, 1, 4, 1, 3, 1, 3, 4, 1, 2, 1, 2, 3, 2, 3, 1, 2, 0, 0, 2, 0, 2, 0, 3, 4, 1, 3, 4, 3, 2, 0, 0, 0, 0, 3, 1, 1, 2, 4, 3, 3, 4, 1, 3, 1, 2, 3, 4, 1, 2, 3, 0, 1, 3, 3, 0, 1, 3, 0, 4, 0, 4, 2, 2, 3, 4, 1, 2, 4, 4, 4, 2, 2, 2, 1, 1, 0, 1, 4, 3, 1, 0, 0, 4, 1, 3, 0, 1, 2, 1, 2, 0, 3, 0, 4, 0, 3, 3, 1, 0, 0, 1, 2, 3, 1, 4, 0, 4, 0, 4, 4, 0, 2, 1, 0, 2, 0, 4, 0, 3, 1, 0, 2, 3, 2, 3, 1, 3, 4, 2, 2, 0, 4, 1, 1, 2, 3, 4, 2, 2, 1, 2, 4, 1, 2, 0, 3, 2, 3, 4, 3, 0, 2, 2, 3, 3, 4, 3, 2, 4, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 2, 0] pubkeycol415 = [0, 1, 3, 3, 3, 4, 0, 1, 0, 0, 3, 1, 1, 4, 4, 1, 2, 2, 2, 4, 2, 3, 4, 3, 1, 0, 4, 3, 1, 1, 1, 4, 4, 3, 4, 1, 4, 1, 4, 3, 4, 2, 2, 2, 0, 4, 3, 1, 4, 0, 4, 3, 1, 0, 4, 4, 3, 0, 0, 2, 4, 0, 3, 0, 3, 1, 3, 3, 4, 0, 1, 1, 2, 4, 0, 4, 1, 1, 3, 0, 1, 2, 4, 3, 4, 3, 2, 4, 3, 2, 3, 4, 0, 4, 4, 4, 1, 2, 4, 4, 2, 3, 3, 4, 2, 2, 4, 0, 4, 4, 2, 0, 0, 1, 0, 4, 2, 0, 1, 1, 0, 3, 2, 4, 1, 4, 4, 1, 0, 2, 0, 2, 1, 2, 4, 3, 4, 1, 3, 1, 2, 0, 3, 0, 0, 1, 0, 3, 0, 1, 0, 3, 4, 3, 2, 1, 0, 3, 4, 4, 4, 4, 0, 4, 1, 2, 1, 2, 1, 2, 2, 3, 1, 0, 4, 1, 2, 0, 2, 3, 3, 2, 2, 3, 1, 1, 1, 3, 4, 0, 0, 0, 3, 2, 2, 1, 0, 1, 4, 4, 3, 0, 3, 1, 1, 3, 1, 3, 3, 3, 2, 1, 1, 4, 1, 4, 3, 0, 4, 2, 1, 3, 1, 0, 4, 0, 0, 0, 3, 2, 4, 1, 1, 3, 3, 0, 0, 3, 4, 1, 0, 3, 2, 4, 1, 3, 3, 0, 0, 2, 3, 2, 3, 0, 1, 0, 3, 0, 3, 4, 4, 4, 0, 1, 4, 2, 0, 4, 2, 1, 0, 2, 1, 1, 0, 3, 2, 1, 2, 0, 4, 2, 3, 3, 0, 3, 2, 1, 3, 2, 0, 4, 0, 4, 2, 0, 2, 3, 0, 4, 2, 0, 3, 1, 3, 1, 3, 1, 3, 0, 3, 4, 4, 1, 0, 0, 4, 3, 4, 1, 3, 0, 1, 4, 0, 0, 1, 0, 4, 4, 2, 3, 3, 2, 1, 2, 2, 4, 1, 0, 0, 2, 4, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 3, 2, 0, 4, 0, 3, 4, 2, 4, 3, 0, 0, 1, 3, 0, 1, 3, 0, 4, 1, 0, 2, 3, 3, 2, 4, 0, 3, 2, 2, 0, 0, 1, 1, 4, 1, 2, 0, 1, 4, 4, 0, 4, 1, 4, 0, 2] pubkeycol416 = [4, 0, 4, 1, 1, 2, 4, 0, 4, 3, 1, 3, 0, 1, 2, 1, 0, 0, 0, 4, 3, 4, 2, 3, 2, 4, 0, 3, 3, 4, 0, 4, 4, 2, 1, 3, 3, 3, 1, 3, 3, 1, 0, 2, 3, 4, 3, 1, 3, 4, 0, 2, 2, 4, 4, 0, 1, 1, 1, 3, 3, 4, 0, 1, 4, 3, 1, 3, 4, 2, 0, 2, 0, 1, 4, 2, 2, 2, 2, 4, 3, 3, 1, 1, 0, 3, 4, 3, 2, 0, 1, 3, 4, 1, 2, 3, 0, 2, 4, 4, 4, 2, 1, 4, 3, 2, 0, 3, 2, 1, 4, 2, 2, 2, 2, 3, 4, 1, 3, 1, 1, 0, 2, 1, 2, 3, 0, 4, 2, 0, 2, 0, 4, 4, 2, 3, 4, 1, 3, 1, 3, 3, 0, 3, 2, 1, 0, 4, 3, 4, 3, 0, 1, 2, 4, 2, 4, 2, 1, 4, 2, 3, 3, 2, 3, 4, 0, 2, 4, 2, 1, 3, 1, 2, 2, 1, 2, 1, 4, 3, 4, 0, 4, 4, 3, 1, 4, 2, 0, 1, 1, 4, 2, 1, 2, 2, 2, 4, 1, 0, 3, 2, 0, 0, 0, 3, 4, 3, 4, 3, 3, 2, 3, 3, 4, 0, 3, 2, 2, 1, 4, 3, 1, 4, 0, 2, 1, 4, 1, 4, 2, 0, 4, 4, 0, 0, 0, 4, 2, 3, 3, 4, 2, 2, 4, 2, 3, 3, 4, 1, 2, 4, 2, 3, 1, 0, 0, 0, 4, 1, 3, 2, 4, 2, 3, 2, 2, 1, 4, 2, 3, 0, 3, 3, 0, 1, 4, 4, 4, 1, 0, 4, 2, 1, 2, 0, 3, 1, 3, 4, 4, 1, 0, 3, 0, 2, 4, 3, 0, 2, 4, 2, 3, 1, 3, 0, 4, 4, 1, 3, 1, 0, 4, 3, 0, 2, 1, 0, 1, 4, 3, 2, 3, 3, 4, 0, 0, 3, 2, 1, 2, 1, 4, 3, 0, 3, 3, 4, 4, 4, 3, 4, 1, 0, 4, 0, 1, 1, 1, 0, 1, 2, 3, 2, 4, 2, 3, 3, 3, 0, 2, 3, 1, 2, 2, 4, 2, 4, 2, 3, 1, 2, 3, 0, 3, 3, 1, 0, 3, 4, 1, 1, 3, 0, 3, 2, 2, 4, 0, 1, 4, 2, 2, 4, 2, 0, 1, 4, 4, 1] pubkeycol417 = [4, 0, 2, 3, 4, 2, 3, 2, 3, 0, 2, 3, 3, 3, 3, 3, 1, 1, 4, 1, 4, 2, 4, 0, 2, 2, 2, 3, 4, 3, 3, 0, 0, 4, 2, 2, 0, 1, 1, 0, 0, 4, 4, 3, 3, 2, 1, 1, 0, 2, 2, 2, 4, 0, 3, 0, 0, 3, 1, 3, 2, 0, 2, 1, 4, 0, 0, 0, 4, 4, 1, 4, 1, 2, 4, 0, 2, 0, 0, 1, 2, 1, 3, 1, 4, 2, 4, 0, 1, 1, 3, 4, 0, 1, 4, 4, 2, 1, 4, 4, 1, 4, 1, 3, 4, 0, 4, 1, 1, 4, 1, 0, 4, 2, 0, 2, 1, 0, 1, 1, 3, 1, 3, 3, 1, 0, 2, 3, 3, 2, 4, 2, 1, 3, 0, 0, 2, 0, 1, 4, 0, 3, 1, 2, 0, 0, 3, 4, 4, 4, 3, 1, 1, 1, 3, 2, 0, 4, 0, 1, 1, 1, 0, 4, 1, 3, 3, 1, 3, 3, 3, 1, 4, 1, 2, 1, 1, 2, 0, 3, 2, 4, 2, 2, 4, 2, 2, 2, 2, 1, 2, 1, 0, 2, 4, 2, 0, 0, 1, 4, 2, 1, 4, 0, 4, 0, 2, 1, 0, 0, 3, 4, 4, 0, 2, 2, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 4, 0, 4, 0, 3, 4, 3, 4, 1, 3, 0, 3, 4, 4, 3, 4, 4, 0, 3, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 3, 4, 0, 3, 4, 3, 2, 1, 1, 4, 3, 0, 2, 1, 4, 2, 4, 3, 1, 2, 2, 0, 3, 1, 0, 3, 2, 3, 1, 2, 0, 3, 4, 3, 1, 3, 1, 0, 3, 4, 2, 4, 1, 2, 3, 2, 2, 4, 1, 3, 1, 2, 2, 4, 4, 4, 1, 1, 1, 4, 1, 4, 3, 1, 2, 4, 3, 3, 4, 0, 4, 1, 1, 1, 4, 0, 4, 4, 0, 4, 2, 0, 0, 1, 4, 3, 2, 2, 1, 3, 1, 2, 1, 0, 4, 4, 3, 2, 2, 0, 1, 0, 1, 2, 2, 3, 0, 0, 3, 3, 2, 3, 1, 2, 3, 1, 1, 2, 3, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 2, 0, 3, 4, 2, 1, 1, 1, 0, 1, 2, 1, 4] pubkeycol418 = [4, 0, 3, 4, 1, 1, 1, 2, 1, 1, 0, 1, 1, 3, 3, 2, 2, 2, 3, 1, 1, 4, 4, 3, 2, 4, 3, 3, 1, 2, 4, 2, 4, 0, 1, 1, 3, 0, 1, 0, 3, 2, 1, 0, 3, 3, 3, 2, 2, 0, 3, 3, 1, 1, 4, 4, 2, 3, 2, 0, 1, 0, 0, 1, 1, 1, 2, 3, 1, 4, 1, 0, 3, 1, 0, 3, 2, 1, 4, 4, 0, 2, 3, 0, 0, 0, 2, 2, 1, 4, 2, 1, 3, 4, 2, 3, 2, 2, 4, 2, 3, 2, 3, 1, 3, 4, 2, 0, 0, 0, 2, 4, 1, 2, 1, 3, 1, 2, 3, 1, 3, 3, 2, 3, 0, 1, 2, 2, 1, 0, 0, 1, 4, 1, 0, 4, 1, 4, 4, 0, 1, 4, 3, 3, 3, 1, 0, 0, 0, 3, 1, 1, 2, 1, 3, 4, 2, 2, 2, 3, 3, 4, 4, 1, 2, 1, 1, 4, 0, 4, 0, 1, 4, 0, 2, 1, 2, 4, 4, 1, 1, 3, 0, 4, 0, 2, 4, 2, 0, 4, 0, 4, 4, 4, 1, 4, 0, 2, 4, 2, 3, 1, 2, 0, 1, 4, 2, 0, 0, 1, 3, 0, 4, 3, 0, 2, 4, 4, 0, 1, 1, 3, 0, 2, 3, 3, 4, 1, 4, 1, 2, 2, 1, 3, 3, 0, 4, 1, 1, 1, 1, 3, 1, 4, 2, 2, 3, 0, 1, 0, 2, 4, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 3, 4, 2, 1, 4, 0, 2, 4, 1, 4, 2, 3, 2, 0, 3, 4, 0, 3, 2, 4, 4, 4, 4, 1, 4, 1, 0, 2, 1, 2, 2, 4, 1, 4, 1, 0, 4, 1, 4, 2, 3, 1, 4, 2, 2, 4, 1, 2, 0, 0, 1, 4, 0, 0, 2, 0, 4, 3, 1, 3, 1, 3, 1, 2, 4, 0, 4, 0, 3, 4, 3, 3, 1, 4, 0, 2, 0, 0, 0, 0, 2, 3, 4, 3, 4, 2, 4, 3, 1, 1, 3, 2, 2, 2, 0, 1, 4, 2, 3, 2, 0, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 4, 0, 1, 3, 4, 0, 0, 4, 2, 2, 4, 2, 2, 2, 0, 4, 4, 4, 0, 3, 3, 1, 4] pubkeycol419 = [1, 1, 4, 0, 2, 2, 2, 1, 3, 3, 1, 0, 1, 1, 0, 1, 3, 3, 0, 1, 0, 3, 4, 3, 3, 0, 0, 4, 1, 0, 4, 1, 1, 2, 2, 4, 1, 1, 0, 3, 2, 0, 3, 1, 4, 2, 0, 4, 4, 3, 3, 0, 0, 1, 2, 3, 4, 4, 0, 3, 0, 2, 2, 1, 0, 2, 3, 3, 2, 2, 0, 4, 4, 4, 2, 1, 1, 1, 1, 3, 2, 4, 3, 2, 0, 1, 3, 1, 1, 0, 0, 1, 1, 2, 0, 2, 4, 3, 4, 3, 0, 2, 1, 0, 1, 3, 4, 3, 4, 4, 2, 1, 2, 2, 1, 3, 2, 4, 1, 4, 0, 1, 0, 0, 0, 1, 2, 0, 0, 4, 1, 0, 4, 3, 4, 0, 3, 4, 3, 3, 3, 4, 1, 1, 4, 3, 1, 2, 2, 3, 3, 1, 2, 1, 0, 4, 1, 4, 3, 3, 3, 2, 3, 2, 1, 1, 0, 3, 1, 3, 0, 4, 0, 4, 2, 4, 1, 2, 3, 2, 1, 1, 1, 2, 4, 4, 2, 4, 2, 4, 0, 4, 3, 4, 0, 3, 3, 3, 4, 0, 4, 1, 3, 0, 1, 0, 4, 2, 1, 1, 1, 2, 0, 2, 3, 3, 2, 2, 4, 4, 1, 4, 3, 2, 0, 0, 0, 4, 0, 4, 4, 4, 3, 1, 4, 4, 4, 2, 0, 0, 0, 4, 4, 2, 1, 4, 1, 1, 3, 4, 2, 2, 4, 3, 1, 4, 3, 3, 4, 0, 0, 4, 2, 0, 0, 1, 0, 2, 4, 1, 1, 0, 1, 3, 2, 4, 2, 3, 3, 4, 3, 2, 4, 0, 3, 4, 4, 4, 4, 2, 2, 3, 0, 3, 0, 3, 1, 0, 1, 1, 0, 4, 3, 2, 0, 0, 2, 1, 4, 1, 4, 2, 1, 3, 3, 4, 0, 0, 3, 4, 1, 0, 0, 4, 1, 2, 0, 2, 1, 4, 3, 4, 3, 3, 0, 3, 4, 1, 4, 3, 2, 4, 2, 4, 1, 3, 4, 0, 1, 4, 0, 4, 2, 3, 3, 0, 0, 1, 2, 1, 2, 4, 1, 1, 1, 2, 3, 4, 4, 0, 3, 0, 2, 3, 3, 4, 4, 1, 3, 3, 1, 4, 3, 3, 4, 2, 2, 1, 0, 0, 2, 2, 1, 0, 4, 0, 3, 3, 3, 2] pubkeycol420 = [1, 0, 2, 1, 2, 4, 4, 2, 1, 3, 3, 3, 1, 3, 2, 4, 4, 2, 1, 0, 3, 4, 4, 0, 0, 4, 2, 0, 0, 3, 3, 4, 3, 3, 3, 1, 2, 0, 2, 1, 1, 4, 4, 1, 1, 2, 4, 1, 1, 4, 2, 0, 0, 4, 4, 0, 3, 0, 1, 2, 1, 1, 3, 2, 2, 3, 4, 1, 2, 2, 2, 2, 4, 2, 3, 1, 1, 1, 0, 3, 0, 2, 1, 2, 3, 2, 1, 2, 3, 1, 4, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 3, 0, 2, 4, 3, 0, 2, 4, 4, 0, 4, 3, 1, 2, 3, 4, 1, 2, 3, 4, 4, 1, 0, 3, 4, 3, 0, 3, 0, 4, 2, 4, 1, 3, 0, 0, 2, 4, 4, 4, 4, 0, 0, 4, 4, 0, 2, 2, 3, 3, 4, 3, 1, 1, 0, 3, 2, 2, 3, 2, 1, 4, 1, 0, 2, 0, 1, 1, 2, 0, 4, 3, 2, 0, 2, 4, 0, 4, 0, 3, 0, 0, 2, 4, 0, 2, 3, 3, 2, 1, 3, 1, 3, 3, 1, 4, 3, 4, 3, 2, 1, 3, 3, 4, 0, 0, 1, 0, 2, 1, 4, 3, 1, 4, 3, 1, 2, 2, 1, 4, 3, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 3, 1, 0, 4, 0, 0, 4, 3, 1, 0, 3, 2, 4, 0, 4, 4, 3, 3, 0, 3, 2, 0, 3, 2, 0, 0, 0, 1, 1, 2, 4, 3, 0, 3, 1, 4, 4, 1, 0, 2, 0, 1, 2, 3, 4, 3, 1, 4, 1, 2, 0, 1, 1, 1, 1, 3, 1, 0, 4, 2, 0, 2, 3, 1, 1, 4, 2, 1, 4, 1, 0, 1, 4, 1, 3, 1, 1, 1, 2, 0, 0, 4, 1, 0, 2, 1, 4, 0, 3, 2, 3, 2, 3, 0, 1, 2, 3, 0, 1, 1, 4, 2, 3, 3, 0, 1, 3, 2, 1, 3, 2, 4, 0, 0, 0, 2, 3, 0, 3, 1, 4, 3, 2, 1, 4, 3, 4, 3, 0, 3, 3, 2, 1, 4, 4, 1, 1, 3, 1, 3, 1, 4, 0, 1, 0, 1, 1, 3, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 3, 0, 2, 3, 4, 0, 1, 4, 1] pubkeycol421 = [2, 3, 1, 1, 0, 0, 0, 1, 3, 2, 1, 0, 4, 3, 3, 4, 4, 4, 2, 0, 4, 0, 0, 1, 2, 3, 1, 3, 2, 2, 3, 4, 0, 1, 3, 4, 1, 1, 0, 0, 4, 2, 1, 3, 1, 1, 4, 0, 0, 3, 4, 0, 4, 3, 1, 3, 1, 4, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 3, 2, 0, 1, 0, 2, 0, 3, 3, 2, 0, 1, 0, 2, 4, 2, 2, 2, 2, 1, 0, 0, 0, 2, 4, 0, 1, 4, 0, 2, 4, 2, 1, 2, 2, 4, 3, 2, 4, 4, 4, 4, 3, 2, 0, 1, 0, 1, 3, 4, 2, 4, 3, 4, 3, 1, 0, 0, 0, 0, 4, 0, 0, 3, 2, 3, 1, 2, 4, 1, 2, 2, 4, 2, 1, 1, 2, 0, 1, 4, 0, 0, 3, 4, 1, 4, 3, 0, 1, 0, 0, 3, 3, 0, 2, 4, 4, 4, 1, 2, 2, 3, 0, 4, 4, 2, 4, 1, 3, 2, 4, 3, 3, 0, 3, 4, 3, 3, 3, 1, 4, 2, 0, 0, 2, 0, 0, 1, 2, 0, 3, 2, 1, 3, 3, 4, 3, 3, 3, 3, 3, 0, 1, 0, 0, 4, 1, 4, 2, 1, 1, 2, 3, 1, 2, 0, 4, 1, 3, 2, 3, 3, 2, 1, 4, 3, 4, 1, 3, 2, 4, 4, 4, 1, 4, 0, 4, 0, 2, 4, 0, 3, 1, 4, 1, 3, 3, 4, 2, 4, 4, 3, 0, 3, 4, 0, 0, 2, 4, 3, 0, 0, 4, 3, 0, 0, 0, 3, 2, 3, 4, 3, 4, 2, 3, 3, 1, 1, 1, 4, 3, 4, 1, 1, 0, 2, 2, 0, 0, 2, 4, 0, 2, 3, 4, 4, 3, 3, 1, 0, 2, 4, 0, 1, 0, 0, 0, 0, 4, 0, 4, 4, 1, 1, 3, 3, 0, 4, 0, 2, 3, 2, 2, 2, 2, 1, 2, 4, 3, 4, 4, 4, 3, 2, 3, 2, 2, 2, 1, 0, 3, 1, 3, 2, 4, 1, 0, 1, 1, 4, 1, 3, 2, 1, 4, 0, 0, 3, 4, 3, 3, 0, 0, 2, 3, 1, 1, 1, 3, 0, 3, 0, 1, 2, 4, 1, 3, 0, 0, 2, 3, 1, 1, 4, 4, 0, 1, 4, 4, 0, 4] pubkeycol422 = [4, 1, 0, 1, 2, 4, 4, 3, 0, 0, 3, 0, 2, 3, 3, 4, 3, 0, 3, 1, 4, 1, 1, 4, 1, 2, 1, 0, 2, 2, 4, 2, 0, 4, 0, 1, 4, 4, 1, 3, 2, 1, 4, 3, 1, 2, 0, 1, 1, 0, 4, 2, 2, 2, 2, 2, 4, 3, 3, 1, 2, 1, 2, 0, 3, 1, 3, 4, 0, 2, 0, 4, 1, 4, 1, 2, 2, 4, 4, 4, 3, 2, 3, 1, 3, 4, 1, 3, 4, 0, 2, 3, 3, 4, 1, 3, 1, 4, 0, 4, 4, 1, 3, 1, 0, 1, 4, 1, 1, 1, 4, 1, 2, 1, 2, 1, 4, 4, 3, 4, 2, 3, 1, 2, 2, 2, 1, 2, 2, 3, 0, 0, 4, 2, 0, 1, 3, 1, 2, 2, 3, 1, 0, 0, 0, 3, 0, 3, 0, 0, 3, 1, 4, 4, 2, 0, 0, 0, 3, 4, 0, 0, 4, 1, 0, 1, 3, 4, 0, 1, 2, 0, 1, 0, 0, 1, 1, 3, 3, 3, 3, 2, 1, 3, 3, 0, 4, 2, 2, 4, 0, 2, 3, 3, 2, 3, 0, 4, 2, 1, 1, 0, 1, 3, 1, 2, 0, 0, 4, 3, 0, 1, 1, 1, 1, 2, 1, 3, 4, 0, 4, 3, 1, 1, 0, 2, 3, 4, 4, 3, 2, 4, 3, 2, 4, 3, 3, 4, 1, 1, 4, 4, 3, 0, 3, 1, 4, 2, 1, 3, 0, 2, 1, 3, 4, 1, 4, 3, 3, 3, 1, 1, 4, 0, 0, 0, 1, 1, 4, 4, 2, 0, 1, 2, 3, 3, 1, 4, 2, 4, 0, 3, 2, 3, 0, 3, 2, 0, 3, 3, 3, 1, 3, 4, 1, 2, 4, 0, 0, 0, 3, 2, 2, 0, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 3, 3, 0, 2, 4, 3, 1, 2, 4, 2, 3, 0, 1, 3, 2, 1, 4, 2, 2, 2, 4, 3, 0, 3, 4, 2, 2, 1, 1, 4, 4, 0, 3, 0, 3, 1, 1, 3, 3, 4, 1, 2, 0, 2, 3, 0, 4, 1, 3, 3, 3, 1, 1, 3, 1, 0, 0, 0, 4, 2, 1, 0, 4, 2, 0, 4, 2, 2, 3, 3, 0, 2, 1, 2, 0, 1, 0, 4, 4, 2, 1, 1, 0, 0, 3, 2] pubkeycol423 = [4, 1, 2, 2, 3, 3, 4, 1, 0, 1, 1, 2, 0, 0, 1, 0, 3, 2, 4, 4, 2, 2, 4, 0, 2, 2, 4, 2, 3, 4, 3, 0, 4, 2, 4, 0, 4, 1, 4, 1, 4, 4, 2, 0, 3, 3, 2, 3, 3, 4, 2, 2, 0, 3, 1, 3, 1, 0, 4, 3, 2, 1, 4, 3, 0, 2, 2, 3, 1, 1, 1, 3, 0, 0, 4, 3, 2, 0, 2, 2, 0, 1, 3, 2, 2, 2, 1, 2, 3, 3, 2, 4, 0, 1, 3, 3, 0, 1, 2, 3, 0, 0, 3, 3, 2, 0, 3, 3, 4, 1, 2, 3, 1, 2, 4, 1, 4, 3, 2, 2, 0, 3, 4, 1, 1, 1, 4, 3, 2, 4, 2, 3, 4, 2, 4, 1, 2, 4, 4, 0, 0, 3, 3, 1, 0, 4, 0, 2, 4, 2, 1, 4, 2, 1, 2, 3, 0, 1, 0, 1, 1, 1, 2, 3, 2, 3, 4, 2, 0, 4, 1, 2, 2, 0, 3, 0, 1, 1, 2, 4, 0, 3, 3, 4, 2, 0, 1, 2, 3, 1, 4, 3, 0, 3, 3, 4, 1, 3, 4, 4, 1, 2, 0, 2, 2, 4, 1, 2, 3, 4, 3, 1, 0, 1, 1, 1, 0, 4, 3, 2, 4, 0, 0, 1, 1, 4, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 2, 2, 1, 2, 3, 4, 1, 0, 0, 1, 2, 2, 1, 4, 3, 3, 0, 3, 3, 2, 4, 2, 0, 2, 3, 1, 3, 3, 1, 1, 2, 2, 2, 4, 0, 0, 3, 4, 1, 0, 2, 3, 1, 1, 2, 1, 4, 0, 4, 0, 0, 3, 2, 4, 0, 1, 3, 3, 4, 0, 2, 3, 4, 4, 3, 0, 3, 1, 4, 1, 3, 2, 4, 3, 4, 1, 3, 1, 2, 2, 4, 3, 4, 2, 4, 1, 2, 4, 2, 1, 0, 4, 3, 4, 2, 0, 0, 3, 1, 2, 1, 3, 3, 1, 3, 3, 0, 1, 0, 3, 3, 2, 1, 0, 4, 4, 4, 1, 0, 4, 4, 4, 1, 1, 0, 1, 2, 3, 3, 4, 1, 4, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 4, 0, 2, 3, 0, 1, 2, 4, 1, 4, 3, 2, 2, 4, 1, 4, 2, 3, 4, 3, 1] pubkeycol424 = [1, 2, 0, 4, 3, 3, 2, 3, 1, 2, 3, 0, 4, 4, 4, 0, 0, 3, 4, 0, 1, 2, 3, 1, 0, 3, 4, 3, 1, 2, 1, 0, 1, 3, 4, 3, 1, 0, 1, 1, 1, 4, 4, 2, 2, 3, 0, 0, 1, 3, 1, 0, 0, 1, 4, 2, 4, 2, 4, 0, 1, 4, 4, 1, 0, 0, 1, 0, 1, 3, 3, 2, 3, 1, 3, 4, 4, 4, 0, 1, 3, 3, 2, 3, 4, 3, 2, 1, 1, 3, 4, 3, 4, 0, 1, 0, 3, 2, 0, 4, 0, 4, 1, 3, 1, 2, 0, 3, 1, 0, 4, 2, 1, 1, 4, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 3, 4, 3, 0, 0, 3, 3, 0, 3, 0, 2, 1, 4, 4, 1, 1, 4, 2, 1, 4, 2, 2, 1, 2, 2, 1, 1, 2, 4, 2, 2, 2, 2, 4, 2, 2, 2, 4, 1, 4, 4, 0, 0, 2, 1, 4, 3, 2, 2, 0, 3, 2, 2, 0, 3, 4, 0, 1, 0, 2, 4, 0, 2, 4, 4, 0, 1, 2, 3, 0, 4, 1, 4, 4, 4, 2, 3, 1, 4, 0, 1, 4, 1, 0, 0, 3, 4, 4, 1, 1, 4, 4, 3, 1, 3, 2, 0, 0, 3, 2, 4, 2, 1, 3, 0, 4, 1, 1, 1, 3, 1, 2, 2, 4, 2, 1, 2, 2, 3, 0, 4, 0, 4, 0, 2, 4, 1, 0, 2, 3, 1, 1, 4, 0, 3, 4, 3, 1, 4, 4, 4, 1, 4, 3, 0, 3, 4, 0, 0, 2, 3, 3, 1, 2, 3, 3, 2, 1, 2, 2, 3, 0, 4, 2, 4, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 2, 2, 3, 2, 3, 0, 1, 3, 0, 2, 3, 3, 2, 2, 0, 4, 3, 3, 4, 2, 2, 3, 1, 4, 4, 0, 1, 0, 3, 4, 2, 1, 1, 1, 0, 0, 1, 0, 0, 4, 2, 1, 3, 2, 3, 1, 0, 1, 0, 1, 0, 4, 3, 0, 2, 3, 3, 3, 0, 3, 4, 1, 2, 0, 1, 1, 3, 4, 0, 1, 0, 4, 4, 1, 1, 3, 3, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 4, 0, 2, 4, 2, 3, 0, 2, 2] pubkeycol425 = [0, 1, 3, 1, 0, 0, 4, 2, 3, 1, 0, 2, 3, 4, 3, 2, 1, 4, 4, 1, 3, 2, 4, 0, 1, 4, 4, 3, 4, 1, 3, 4, 4, 0, 0, 2, 1, 3, 3, 2, 2, 4, 1, 1, 2, 4, 4, 1, 0, 2, 3, 1, 1, 0, 4, 4, 4, 2, 4, 1, 3, 0, 2, 0, 1, 2, 2, 3, 1, 1, 2, 4, 4, 4, 2, 4, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 4, 2, 0, 3, 2, 4, 0, 0, 3, 2, 1, 3, 3, 1, 2, 1, 2, 4, 4, 4, 3, 3, 2, 4, 2, 2, 1, 4, 3, 4, 1, 0, 0, 0, 4, 1, 2, 3, 3, 2, 4, 2, 4, 0, 1, 0, 2, 3, 1, 2, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 4, 4, 3, 4, 1, 2, 1, 2, 1, 4, 1, 0, 0, 2, 2, 0, 0, 4, 1, 4, 3, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 3, 2, 0, 4, 1, 1, 2, 1, 2, 1, 1, 4, 4, 1, 3, 1, 3, 1, 4, 0, 3, 0, 1, 1, 4, 1, 3, 4, 3, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 4, 1, 0, 4, 1, 2, 0, 4, 0, 3, 4, 2, 4, 3, 2, 3, 4, 4, 0, 1, 3, 3, 1, 3, 2, 4, 4, 1, 0, 0, 3, 0, 2, 3, 0, 1, 0, 1, 0, 4, 2, 1, 4, 0, 1, 4, 4, 0, 0, 3, 3, 2, 4, 3, 2, 3, 1, 0, 3, 3, 1, 1, 4, 4, 1, 1, 3, 1, 0, 4, 0, 0, 2, 4, 2, 4, 3, 4, 3, 3, 2, 1, 3, 1, 2, 1, 3, 2, 3, 4, 1, 2, 2, 2, 3, 4, 3, 2, 3, 3, 1, 4, 4, 0, 1, 2, 0, 1, 3, 4, 3, 3, 1, 3, 3, 0, 4, 0, 4, 4, 3, 1, 4, 1, 2, 0, 2, 3, 2, 4, 3, 2, 1, 2, 3, 4, 1, 0, 4, 2, 4, 2, 4, 2, 0, 0, 0, 3, 2, 1, 1, 3, 1, 0, 3, 3, 2, 1, 1, 0, 2, 3, 2, 4, 0, 0, 4, 1, 2, 4, 3, 0, 0, 0, 4, 4, 4, 0, 1, 3] pubkeycol426 = [0, 1, 2, 0, 2, 4, 2, 0, 0, 2, 1, 2, 2, 4, 2, 2, 2, 3, 2, 3, 4, 4, 1, 3, 2, 0, 0, 2, 2, 0, 3, 4, 3, 0, 0, 0, 4, 3, 0, 0, 1, 1, 4, 4, 2, 1, 4, 0, 0, 3, 3, 3, 4, 1, 0, 0, 3, 4, 3, 0, 4, 2, 4, 3, 2, 4, 0, 2, 3, 3, 3, 3, 0, 2, 1, 2, 1, 1, 1, 0, 0, 4, 0, 4, 3, 1, 1, 1, 4, 3, 3, 3, 0, 1, 1, 4, 1, 0, 3, 2, 1, 0, 3, 2, 3, 1, 3, 0, 0, 0, 0, 1, 4, 2, 0, 0, 4, 1, 1, 3, 4, 2, 3, 4, 2, 2, 1, 2, 1, 0, 4, 3, 1, 0, 0, 1, 1, 3, 3, 0, 2, 2, 4, 0, 3, 3, 2, 2, 3, 0, 0, 1, 1, 2, 3, 0, 2, 2, 3, 0, 2, 0, 1, 3, 0, 2, 4, 2, 3, 0, 0, 4, 1, 4, 2, 1, 2, 3, 4, 1, 2, 2, 4, 4, 0, 0, 1, 1, 2, 2, 0, 3, 4, 4, 0, 0, 2, 1, 1, 2, 3, 4, 1, 0, 2, 2, 2, 4, 0, 3, 1, 3, 4, 3, 3, 1, 2, 3, 0, 3, 2, 1, 1, 2, 2, 0, 4, 2, 1, 0, 4, 1, 0, 2, 2, 1, 4, 1, 1, 0, 4, 4, 0, 0, 4, 4, 2, 4, 3, 1, 2, 3, 2, 0, 0, 1, 3, 0, 0, 3, 4, 2, 4, 1, 1, 3, 0, 0, 4, 1, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 4, 0, 2, 2, 3, 1, 3, 3, 2, 1, 0, 0, 0, 4, 1, 3, 3, 0, 2, 3, 0, 4, 3, 4, 1, 2, 3, 2, 2, 4, 3, 3, 0, 2, 1, 1, 3, 0, 2, 0, 0, 1, 3, 4, 3, 1, 3, 3, 4, 2, 1, 4, 4, 4, 4, 1, 3, 4, 1, 1, 1, 1, 4, 3, 3, 2, 1, 1, 0, 1, 0, 4, 1, 1, 1, 3, 0, 3, 1, 1, 2, 1, 0, 0, 3, 0, 0, 3, 3, 2, 0, 4, 2, 0, 2, 0, 4, 1, 0, 4, 2, 3, 4, 0, 3, 2, 2, 4, 2, 0, 3, 0, 1, 4] pubkeycol427 = [1, 4, 2, 2, 2, 1, 3, 4, 4, 3, 3, 4, 4, 0, 2, 1, 3, 0, 4, 3, 2, 3, 1, 4, 1, 2, 1, 3, 4, 0, 2, 2, 0, 1, 0, 0, 4, 4, 1, 4, 4, 3, 0, 0, 3, 0, 0, 1, 3, 3, 4, 0, 3, 4, 1, 2, 0, 3, 3, 2, 0, 3, 4, 1, 3, 2, 2, 3, 1, 3, 0, 3, 2, 0, 3, 2, 2, 4, 0, 3, 4, 4, 3, 2, 3, 1, 2, 2, 3, 3, 1, 1, 0, 0, 1, 3, 3, 2, 4, 1, 0, 4, 0, 3, 0, 4, 4, 0, 4, 1, 0, 4, 1, 0, 0, 3, 4, 0, 1, 3, 3, 3, 2, 4, 2, 2, 1, 4, 1, 4, 2, 0, 2, 0, 3, 1, 3, 3, 4, 0, 0, 4, 1, 3, 2, 1, 1, 2, 2, 3, 4, 4, 4, 3, 2, 4, 3, 1, 1, 3, 3, 0, 2, 1, 3, 4, 3, 0, 0, 2, 2, 4, 1, 1, 3, 2, 1, 4, 4, 3, 4, 4, 4, 4, 3, 0, 1, 2, 0, 3, 3, 0, 1, 2, 2, 0, 0, 3, 0, 1, 4, 1, 0, 3, 1, 0, 4, 3, 2, 1, 3, 1, 3, 1, 3, 3, 4, 3, 4, 1, 1, 2, 2, 2, 2, 3, 4, 2, 2, 2, 0, 3, 2, 4, 1, 3, 0, 4, 1, 4, 0, 3, 3, 0, 1, 1, 1, 1, 2, 3, 3, 4, 0, 3, 4, 2, 4, 3, 0, 3, 4, 4, 2, 0, 4, 0, 0, 2, 2, 3, 4, 3, 2, 3, 0, 4, 1, 0, 1, 4, 0, 1, 4, 3, 1, 1, 0, 0, 3, 0, 3, 4, 2, 1, 2, 1, 3, 1, 0, 0, 3, 2, 0, 4, 0, 0, 4, 1, 2, 2, 3, 2, 3, 1, 3, 2, 0, 3, 1, 4, 4, 0, 4, 0, 2, 1, 3, 3, 4, 4, 1, 3, 0, 1, 1, 0, 0, 4, 0, 2, 1, 3, 4, 2, 2, 1, 0, 2, 0, 0, 1, 4, 2, 0, 0, 2, 1, 4, 0, 1, 0, 2, 4, 3, 4, 4, 3, 2, 4, 1, 4, 0, 1, 4, 4, 0, 3, 2, 2, 4, 1, 4, 4, 2, 3, 3, 4, 2, 4, 4, 4, 3, 2, 4, 4, 4, 1, 1, 1, 1] pubkeycol428 = [2, 3, 0, 3, 1, 2, 1, 0, 4, 2, 3, 3, 2, 1, 0, 2, 1, 2, 3, 4, 1, 4, 3, 1, 2, 2, 3, 4, 1, 3, 4, 4, 4, 3, 1, 1, 0, 0, 3, 2, 4, 0, 4, 2, 2, 2, 0, 0, 0, 1, 2, 0, 3, 2, 0, 1, 4, 1, 0, 4, 4, 0, 0, 0, 4, 1, 2, 0, 4, 3, 3, 1, 1, 4, 1, 4, 2, 2, 1, 1, 2, 4, 3, 3, 4, 1, 4, 1, 2, 1, 0, 4, 0, 2, 0, 2, 2, 3, 1, 1, 3, 4, 4, 0, 3, 1, 4, 2, 4, 2, 4, 2, 3, 3, 2, 1, 2, 4, 2, 2, 4, 1, 3, 1, 2, 2, 0, 2, 0, 4, 3, 4, 3, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 3, 4, 4, 0, 4, 2, 3, 4, 3, 4, 2, 0, 3, 2, 3, 0, 2, 3, 3, 0, 3, 4, 3, 0, 0, 4, 3, 1, 4, 0, 4, 0, 2, 2, 3, 1, 3, 4, 0, 1, 1, 4, 3, 1, 2, 1, 0, 1, 0, 3, 1, 2, 1, 4, 1, 0, 2, 4, 1, 4, 0, 1, 2, 4, 1, 0, 4, 4, 4, 2, 0, 4, 1, 3, 0, 1, 0, 2, 4, 0, 1, 4, 2, 4, 3, 3, 4, 4, 4, 4, 1, 1, 1, 1, 3, 2, 4, 2, 3, 4, 2, 1, 0, 1, 0, 2, 0, 4, 2, 1, 1, 0, 4, 4, 0, 4, 1, 3, 0, 3, 1, 1, 4, 2, 2, 1, 0, 3, 3, 4, 0, 1, 3, 3, 4, 3, 0, 3, 0, 3, 3, 4, 4, 2, 0, 2, 3, 1, 2, 1, 0, 3, 1, 0, 2, 4, 1, 2, 3, 0, 1, 3, 4, 1, 1, 2, 0, 2, 2, 1, 3, 1, 3, 3, 3, 0, 4, 2, 2, 3, 3, 1, 2, 2, 2, 3, 0, 4, 3, 2, 3, 2, 4, 0, 2, 1, 4, 1, 2, 1, 0, 3, 2, 2, 3, 3, 0, 3, 2, 4, 3, 1, 0, 2, 0, 3, 3, 0, 0, 3, 1, 0, 3, 1, 2, 3, 4, 2, 3, 1, 1, 1, 3, 3, 2, 4, 2, 2, 1, 2, 2, 0, 3, 3, 3, 2, 3, 0, 2, 4, 4, 2, 4, 4, 4, 2, 4] pubkeycol429 = [4, 4, 0, 4, 0, 2, 0, 0, 4, 0, 1, 2, 0, 1, 3, 4, 1, 0, 1, 4, 3, 1, 3, 3, 1, 3, 1, 3, 1, 0, 1, 2, 3, 2, 3, 0, 3, 4, 4, 2, 0, 1, 0, 3, 2, 3, 1, 4, 3, 1, 4, 1, 0, 2, 2, 3, 0, 4, 3, 3, 0, 3, 4, 0, 2, 0, 4, 1, 1, 2, 3, 4, 0, 0, 2, 2, 2, 4, 4, 3, 2, 2, 3, 4, 2, 3, 2, 4, 1, 4, 4, 4, 3, 3, 4, 3, 1, 1, 4, 4, 0, 4, 4, 3, 4, 2, 2, 3, 1, 4, 1, 0, 3, 0, 4, 4, 0, 4, 1, 2, 3, 2, 2, 2, 2, 4, 0, 4, 1, 0, 1, 1, 4, 3, 1, 0, 4, 3, 2, 2, 0, 0, 1, 4, 1, 3, 3, 1, 3, 0, 3, 0, 2, 0, 4, 0, 4, 1, 3, 3, 2, 1, 0, 1, 4, 0, 1, 0, 2, 0, 4, 1, 2, 4, 0, 3, 3, 2, 2, 0, 0, 1, 0, 4, 1, 0, 3, 2, 0, 0, 3, 0, 0, 4, 2, 1, 3, 4, 4, 4, 2, 0, 4, 1, 4, 4, 4, 4, 4, 2, 4, 0, 4, 4, 1, 4, 3, 2, 1, 3, 3, 2, 0, 4, 3, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 3, 2, 1, 1, 0, 0, 4, 2, 3, 4, 0, 2, 2, 2, 4, 4, 0, 2, 0, 4, 1, 2, 1, 0, 3, 4, 2, 3, 2, 0, 3, 4, 3, 1, 4, 0, 4, 2, 1, 2, 0, 4, 0, 2, 2, 4, 1, 1, 3, 2, 0, 0, 2, 1, 2, 3, 0, 4, 0, 3, 3, 2, 1, 2, 2, 0, 3, 0, 4, 1, 1, 3, 0, 0, 0, 3, 2, 4, 2, 1, 2, 3, 1, 0, 3, 2, 1, 4, 0, 2, 1, 1, 4, 3, 0, 2, 2, 1, 0, 4, 3, 0, 2, 0, 3, 0, 4, 3, 4, 4, 2, 2, 0, 2, 1, 3, 0, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 3, 3, 3, 4, 2, 2, 2, 2, 3, 1, 0, 2, 1, 0, 0, 3, 3, 4, 4, 2, 2, 4, 2, 1, 4, 4, 4, 1, 4, 0, 2, 3, 3, 4, 4, 4, 4] pubkeycol430 = [2, 0, 1, 0, 3, 0, 0, 1, 4, 2, 0, 0, 4, 2, 3, 1, 1, 2, 0, 1, 0, 1, 1, 4, 3, 1, 2, 3, 2, 0, 2, 3, 2, 4, 0, 2, 3, 1, 0, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 0, 1, 0, 3, 4, 0, 2, 3, 4, 1, 0, 0, 0, 3, 2, 4, 2, 2, 0, 3, 1, 4, 0, 1, 3, 2, 2, 4, 1, 2, 2, 2, 3, 4, 1, 3, 4, 4, 4, 4, 4, 3, 2, 4, 0, 4, 0, 4, 3, 3, 2, 2, 3, 4, 4, 1, 3, 0, 0, 1, 2, 4, 0, 3, 4, 3, 4, 3, 2, 0, 0, 0, 1, 0, 3, 1, 0, 3, 4, 1, 2, 1, 1, 1, 4, 3, 2, 3, 1, 3, 3, 0, 3, 4, 3, 4, 3, 1, 1, 3, 1, 0, 4, 3, 1, 0, 2, 0, 4, 1, 4, 0, 2, 3, 2, 3, 1, 4, 4, 1, 4, 0, 0, 4, 4, 4, 1, 4, 4, 0, 1, 0, 2, 2, 4, 4, 4, 1, 2, 4, 2, 1, 3, 2, 2, 1, 1, 1, 4, 4, 2, 2, 4, 2, 4, 3, 1, 4, 1, 3, 3, 2, 3, 0, 3, 3, 1, 4, 3, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 3, 4, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 1, 1, 3, 1, 2, 2, 0, 2, 0, 4, 3, 0, 0, 4, 4, 4, 4, 3, 1, 3, 2, 1, 4, 0, 2, 2, 4, 3, 2, 4, 4, 0, 1, 4, 3, 1, 3, 0, 1, 0, 4, 3, 3, 1, 3, 4, 3, 0, 3, 3, 2, 4, 3, 0, 0, 4, 3, 2, 1, 2, 2, 0, 4, 3, 0, 0, 1, 4, 1, 1, 4, 2, 2, 0, 4, 3, 2, 1, 0, 3, 4, 3, 3, 1, 0, 4, 3, 2, 1, 2, 1, 0, 0, 3, 1, 3, 3, 3, 0, 3, 0, 0, 2, 2, 0, 2, 2, 3, 1, 1, 2, 4, 4, 3, 3, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 4, 1, 0, 2, 2, 2, 3, 3, 4, 3, 0, 1, 0, 1, 4, 0, 2, 1, 3, 1, 4, 4, 2, 1, 4, 3, 2, 1] pubkeycol431 = [3, 3, 3, 2, 2, 1, 3, 2, 0, 4, 0, 3, 2, 4, 4, 3, 0, 3, 3, 3, 2, 3, 3, 1, 0, 0, 0, 3, 0, 0, 4, 0, 2, 2, 1, 3, 1, 2, 1, 4, 0, 3, 1, 4, 2, 2, 1, 3, 4, 4, 0, 1, 2, 1, 3, 3, 4, 3, 0, 2, 0, 3, 2, 3, 1, 3, 2, 3, 0, 0, 0, 4, 1, 4, 2, 4, 1, 4, 1, 0, 1, 0, 0, 3, 1, 0, 1, 3, 0, 2, 0, 2, 3, 4, 2, 0, 4, 3, 1, 1, 3, 4, 1, 1, 1, 1, 0, 0, 3, 4, 4, 0, 1, 1, 3, 1, 0, 2, 3, 3, 1, 0, 3, 0, 2, 2, 2, 1, 1, 4, 1, 1, 1, 2, 3, 2, 2, 0, 3, 2, 0, 4, 0, 2, 2, 0, 2, 2, 3, 3, 2, 2, 0, 1, 2, 3, 1, 0, 0, 2, 1, 3, 0, 1, 1, 3, 4, 0, 1, 4, 4, 0, 0, 4, 0, 3, 3, 2, 0, 4, 2, 4, 1, 1, 4, 1, 0, 1, 0, 2, 2, 3, 4, 3, 1, 1, 2, 3, 1, 2, 2, 4, 2, 1, 0, 3, 4, 2, 2, 0, 1, 1, 4, 4, 2, 3, 1, 4, 3, 1, 3, 1, 0, 3, 0, 2, 4, 0, 4, 2, 4, 3, 1, 1, 2, 1, 3, 3, 0, 4, 3, 0, 2, 0, 2, 1, 2, 1, 0, 4, 0, 2, 2, 1, 3, 2, 1, 3, 2, 0, 1, 0, 2, 1, 1, 3, 3, 3, 2, 1, 2, 4, 2, 4, 3, 2, 0, 4, 0, 2, 4, 2, 0, 1, 2, 3, 0, 4, 3, 3, 1, 2, 1, 3, 0, 2, 0, 2, 4, 4, 1, 3, 2, 4, 1, 3, 1, 3, 4, 3, 4, 2, 0, 2, 3, 0, 3, 4, 0, 1, 1, 2, 4, 0, 2, 1, 4, 0, 4, 0, 1, 3, 3, 1, 3, 1, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3, 4, 4, 0, 3, 4, 4, 1, 3, 1, 0, 3, 4, 4, 1, 1, 3, 4, 4, 0, 4, 2, 4, 4, 0, 1, 2, 3, 3, 3, 1, 1, 3, 0, 3, 3, 0, 1, 4, 0, 0, 4, 3, 0, 3, 1, 2, 4, 1, 0, 3, 3, 1, 0, 3] pubkeycol432 = [3, 3, 0, 3, 4, 0, 2, 2, 2, 2, 3, 1, 2, 4, 4, 0, 1, 0, 3, 1, 1, 3, 1, 3, 3, 0, 0, 1, 4, 0, 0, 2, 3, 1, 3, 3, 3, 2, 0, 0, 3, 1, 4, 3, 1, 3, 3, 3, 1, 3, 0, 1, 0, 2, 0, 1, 2, 4, 2, 1, 0, 3, 1, 2, 3, 1, 0, 3, 1, 3, 0, 0, 0, 0, 3, 0, 3, 3, 1, 3, 1, 3, 4, 0, 1, 3, 3, 4, 0, 1, 4, 0, 1, 4, 2, 0, 1, 2, 0, 0, 4, 1, 4, 1, 0, 3, 2, 3, 4, 0, 1, 0, 4, 0, 2, 0, 1, 3, 4, 2, 1, 3, 3, 0, 3, 4, 2, 2, 2, 0, 3, 1, 0, 2, 1, 1, 3, 3, 4, 2, 0, 2, 2, 1, 4, 2, 3, 4, 0, 2, 1, 0, 3, 1, 1, 0, 0, 0, 1, 2, 3, 2, 1, 1, 1, 0, 3, 1, 1, 4, 1, 3, 4, 1, 1, 0, 1, 3, 1, 3, 3, 4, 2, 4, 1, 1, 3, 0, 0, 0, 1, 4, 3, 1, 1, 3, 3, 2, 0, 4, 1, 2, 4, 4, 4, 0, 0, 2, 1, 4, 1, 1, 0, 1, 3, 1, 1, 1, 1, 2, 2, 4, 3, 4, 0, 4, 3, 0, 0, 1, 4, 4, 3, 2, 0, 1, 0, 3, 0, 2, 2, 4, 4, 4, 4, 0, 3, 4, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 3, 1, 3, 4, 4, 2, 1, 4, 0, 3, 2, 0, 2, 0, 1, 2, 0, 3, 2, 4, 2, 1, 4, 1, 2, 0, 0, 4, 0, 3, 2, 2, 2, 2, 1, 0, 0, 0, 4, 4, 4, 2, 2, 0, 4, 4, 0, 0, 4, 3, 4, 0, 4, 3, 1, 0, 2, 1, 2, 0, 4, 3, 2, 2, 2, 2, 1, 3, 2, 1, 3, 1, 1, 3, 0, 1, 1, 1, 4, 3, 4, 4, 3, 2, 1, 3, 4, 4, 3, 1, 3, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 4, 4, 1, 3, 0, 1, 0, 1, 3, 3, 1, 0, 2, 0, 2, 4, 2, 3, 4, 0, 0, 4, 0, 3, 1, 1, 1, 3, 2, 1, 3, 3, 1, 2, 3, 0, 2, 4] pubkeycol433 = [3, 0, 1, 4, 0, 3, 0, 4, 2, 4, 2, 3, 4, 3, 1, 0, 3, 4, 4, 2, 2, 1, 0, 0, 2, 4, 3, 4, 4, 0, 2, 2, 2, 4, 3, 2, 1, 4, 4, 4, 1, 0, 1, 2, 3, 2, 2, 0, 3, 3, 4, 0, 0, 3, 3, 1, 1, 2, 0, 4, 1, 1, 4, 2, 2, 3, 4, 3, 4, 1, 0, 3, 4, 0, 3, 4, 1, 1, 0, 1, 2, 3, 4, 1, 4, 0, 4, 3, 3, 3, 0, 1, 4, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 4, 1, 4, 0, 3, 0, 1, 4, 2, 3, 2, 4, 3, 1, 3, 1, 0, 1, 3, 1, 2, 4, 2, 2, 4, 2, 3, 0, 4, 2, 4, 0, 0, 3, 3, 1, 1, 1, 3, 0, 1, 2, 3, 0, 3, 0, 2, 4, 0, 3, 4, 1, 2, 2, 4, 4, 0, 2, 1, 0, 4, 1, 2, 0, 0, 4, 4, 3, 4, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 4, 4, 1, 3, 3, 0, 0, 3, 4, 2, 1, 4, 3, 4, 4, 2, 1, 3, 3, 1, 3, 4, 0, 1, 3, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 1, 3, 4, 2, 1, 4, 3, 4, 2, 2, 1, 1, 0, 4, 3, 3, 3, 1, 1, 4, 1, 2, 0, 3, 1, 1, 2, 4, 1, 1, 1, 3, 3, 0, 4, 1, 2, 1, 4, 3, 3, 1, 1, 1, 4, 3, 3, 2, 4, 4, 0, 4, 4, 0, 1, 4, 2, 2, 1, 1, 4, 1, 0, 3, 3, 2, 0, 1, 3, 0, 1, 2, 3, 3, 0, 1, 1, 1, 0, 4, 1, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 2, 0, 0, 2, 4, 3, 3, 4, 0, 4, 1, 1, 0, 3, 1, 3, 2, 1, 3, 2, 4, 0, 0, 0, 0, 4, 3, 4, 3, 1, 2, 1, 0, 2, 0, 1, 3, 0, 4, 2, 4, 3, 1, 2, 4, 4, 2, 3, 0, 1, 4, 1, 3, 1, 0, 4, 0, 0, 3, 1, 4, 0, 3, 2, 3, 3, 2, 4, 2, 3, 3, 2, 0, 3, 3, 0, 0, 1] pubkeycol434 = [2, 4, 2, 2, 3, 3, 0, 3, 3, 4, 2, 1, 0, 0, 0, 0, 4, 1, 4, 1, 4, 0, 1, 3, 2, 1, 1, 1, 0, 3, 4, 2, 1, 1, 0, 1, 0, 4, 4, 2, 4, 1, 3, 0, 0, 4, 1, 0, 0, 0, 2, 1, 2, 3, 2, 0, 0, 0, 2, 3, 1, 3, 0, 3, 0, 4, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 4, 1, 3, 1, 1, 1, 2, 2, 2, 4, 3, 2, 1, 0, 0, 1, 4, 0, 2, 3, 0, 3, 0, 2, 3, 3, 0, 4, 3, 0, 1, 3, 4, 2, 1, 4, 0, 2, 4, 1, 3, 4, 3, 1, 2, 3, 1, 2, 1, 3, 2, 2, 3, 2, 4, 2, 1, 0, 4, 3, 2, 4, 3, 0, 4, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 1, 4, 0, 0, 4, 4, 4, 1, 4, 0, 4, 3, 3, 4, 1, 4, 2, 4, 4, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 4, 2, 3, 1, 1, 4, 3, 2, 1, 3, 3, 4, 4, 0, 2, 4, 0, 4, 4, 2, 3, 2, 4, 3, 2, 2, 0, 4, 0, 0, 0, 2, 0, 2, 1, 4, 1, 0, 0, 2, 4, 3, 0, 1, 3, 2, 2, 1, 1, 1, 1, 4, 3, 1, 3, 4, 1, 0, 0, 3, 2, 0, 3, 1, 0, 1, 4, 4, 0, 1, 3, 4, 0, 2, 2, 2, 3, 1, 0, 4, 2, 0, 0, 4, 2, 0, 1, 0, 3, 2, 3, 2, 2, 2, 0, 3, 1, 2, 1, 1, 3, 4, 0, 4, 4, 0, 2, 3, 4, 2, 2, 4, 0, 1, 4, 4, 1, 3, 1, 3, 0, 1, 4, 0, 0, 0, 2, 1, 1, 2, 3, 2, 2, 3, 2, 4, 2, 1, 4, 1, 2, 3, 1, 0, 3, 2, 0, 2, 1, 4, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 4, 4, 4, 2, 4, 0, 2, 1, 1, 3, 1, 1, 2, 4, 4, 1, 0, 0, 3, 0, 3, 3, 1, 2, 2, 2, 4, 3, 1, 2, 3, 2, 3, 0, 4, 3, 2, 3, 4, 1, 2, 1, 1, 1, 3, 2, 1, 3, 4, 2, 3, 3, 2, 2, 1, 4, 3, 3] pubkeycol435 = [3, 0, 3, 4, 0, 2, 0, 2, 1, 0, 0, 1, 2, 3, 1, 2, 4, 2, 1, 3, 3, 2, 3, 3, 1, 3, 2, 2, 3, 0, 2, 1, 4, 1, 0, 4, 4, 1, 0, 4, 1, 3, 1, 0, 2, 1, 1, 0, 3, 0, 1, 4, 1, 1, 4, 2, 3, 3, 3, 2, 3, 4, 2, 1, 4, 3, 1, 0, 2, 0, 4, 3, 1, 4, 4, 4, 0, 2, 2, 4, 0, 4, 3, 4, 4, 2, 2, 2, 0, 2, 0, 2, 3, 1, 3, 2, 2, 0, 0, 3, 2, 2, 2, 3, 0, 1, 4, 2, 3, 0, 1, 1, 2, 4, 1, 2, 1, 4, 2, 3, 3, 4, 3, 0, 0, 4, 3, 4, 2, 1, 4, 4, 2, 3, 1, 0, 1, 4, 1, 1, 1, 0, 2, 1, 3, 0, 0, 1, 4, 0, 1, 1, 0, 0, 2, 4, 4, 3, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 4, 2, 0, 3, 4, 0, 3, 4, 2, 1, 2, 2, 3, 2, 2, 1, 4, 0, 2, 2, 2, 2, 1, 0, 3, 4, 3, 3, 4, 3, 4, 0, 0, 3, 0, 3, 2, 4, 3, 0, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 4, 0, 0, 2, 2, 0, 3, 3, 4, 0, 2, 3, 2, 4, 1, 2, 0, 3, 2, 1, 3, 1, 2, 0, 2, 4, 0, 4, 2, 2, 4, 0, 2, 3, 2, 2, 4, 0, 0, 3, 1, 1, 3, 1, 1, 0, 2, 1, 0, 1, 2, 3, 2, 3, 4, 0, 1, 0, 1, 2, 3, 3, 4, 4, 2, 0, 1, 1, 2, 0, 1, 2, 3, 4, 3, 1, 4, 4, 3, 4, 3, 1, 1, 2, 1, 3, 0, 1, 3, 0, 3, 3, 3, 2, 1, 3, 0, 1, 1, 4, 0, 1, 0, 4, 4, 3, 1, 4, 4, 2, 1, 1, 2, 3, 3, 1, 2, 3, 4, 0, 4, 0, 4, 3, 1, 2, 4, 3, 2, 2, 4, 2, 1, 3, 3, 0, 1, 3, 2, 2, 2, 4, 4, 1, 1, 3, 0, 3, 1, 3, 2, 1, 1, 2, 0, 4, 4, 1, 1, 2, 2, 0, 4, 2, 2, 4, 1, 1, 3, 0, 3, 3, 0, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol436 = [1, 0, 1, 3, 1, 2, 3, 4, 3, 3, 0, 1, 2, 0, 2, 4, 0, 0, 2, 4, 3, 1, 4, 1, 4, 2, 0, 3, 0, 1, 0, 3, 0, 3, 2, 3, 4, 2, 3, 0, 0, 2, 4, 3, 3, 4, 3, 4, 2, 4, 0, 1, 3, 4, 0, 1, 1, 4, 3, 2, 2, 4, 2, 3, 0, 3, 3, 2, 2, 3, 3, 0, 0, 3, 4, 1, 0, 4, 0, 2, 2, 1, 2, 1, 2, 4, 1, 1, 2, 4, 4, 0, 4, 3, 0, 1, 0, 4, 2, 2, 2, 4, 3, 2, 1, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 3, 0, 1, 3, 0, 3, 1, 3, 3, 2, 0, 0, 3, 3, 2, 4, 3, 4, 1, 4, 1, 2, 1, 2, 1, 0, 2, 4, 1, 2, 3, 3, 0, 4, 2, 1, 4, 1, 3, 4, 1, 4, 1, 0, 3, 4, 0, 0, 1, 4, 2, 0, 3, 3, 3, 4, 3, 0, 2, 3, 0, 4, 1, 2, 1, 3, 1, 1, 0, 2, 4, 3, 0, 2, 3, 2, 0, 1, 3, 3, 0, 3, 3, 0, 2, 3, 2, 4, 3, 1, 2, 2, 4, 1, 3, 3, 1, 4, 4, 2, 3, 4, 4, 0, 1, 1, 4, 0, 1, 2, 0, 4, 2, 0, 4, 2, 1, 3, 4, 4, 3, 3, 4, 2, 4, 4, 0, 1, 3, 3, 4, 2, 2, 1, 3, 0, 0, 0, 4, 2, 2, 4, 2, 3, 4, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 3, 0, 2, 3, 2, 4, 4, 1, 0, 4, 2, 4, 1, 1, 2, 3, 0, 3, 0, 1, 1, 2, 2, 1, 1, 0, 4, 2, 4, 1, 0, 4, 3, 2, 3, 2, 1, 4, 0, 4, 1, 2, 4, 1, 4, 2, 0, 0, 2, 2, 0, 4, 4, 0, 2, 3, 1, 3, 1, 4, 3, 2, 0, 1, 3, 4, 1, 1, 0, 4, 0, 4, 3, 3, 0, 0, 2, 4, 0, 1, 1, 0, 2, 0, 3, 4, 2, 3, 3, 0, 0, 4, 1, 0, 2, 0, 0, 1, 4, 4, 3, 3, 2, 4, 2, 1, 3, 0, 1, 4, 0, 2, 4, 2, 0, 2, 4, 4, 0, 1, 4, 0, 2, 1, 2, 1, 2, 4, 0, 0] pubkeycol437 = [3, 0, 2, 1, 0, 4, 0, 1, 3, 3, 4, 2, 3, 4, 0, 2, 4, 4, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 1, 2, 3, 3, 3, 0, 3, 3, 1, 3, 2, 4, 2, 0, 4, 2, 0, 4, 0, 1, 0, 2, 1, 2, 4, 4, 0, 4, 0, 2, 3, 3, 3, 0, 4, 2, 0, 2, 2, 1, 2, 1, 2, 1, 3, 4, 4, 3, 3, 0, 1, 2, 0, 1, 3, 4, 2, 4, 3, 1, 4, 4, 3, 0, 0, 1, 0, 4, 3, 3, 2, 2, 3, 0, 3, 0, 0, 3, 4, 0, 3, 4, 3, 2, 4, 4, 0, 2, 4, 2, 1, 3, 3, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 0, 1, 3, 4, 3, 0, 3, 2, 0, 3, 2, 0, 3, 4, 3, 0, 3, 2, 3, 3, 0, 0, 2, 3, 1, 4, 0, 4, 0, 0, 4, 3, 1, 4, 1, 3, 0, 0, 1, 0, 0, 1, 4, 2, 4, 1, 1, 1, 0, 4, 3, 2, 4, 4, 4, 0, 0, 2, 3, 3, 4, 3, 3, 1, 0, 3, 4, 0, 1, 1, 1, 1, 0, 0, 4, 3, 2, 3, 2, 1, 2, 2, 3, 0, 4, 4, 2, 0, 1, 3, 0, 4, 0, 3, 1, 1, 4, 3, 4, 1, 3, 0, 3, 0, 3, 3, 1, 0, 2, 1, 1, 0, 1, 2, 4, 0, 0, 3, 2, 1, 3, 3, 4, 2, 2, 0, 0, 2, 3, 2, 4, 0, 4, 1, 4, 1, 2, 0, 0, 3, 2, 4, 3, 3, 0, 4, 0, 1, 2, 2, 2, 2, 2, 0, 3, 0, 1, 0, 1, 2, 3, 4, 1, 0, 4, 4, 3, 0, 1, 3, 4, 0, 0, 4, 0, 0, 1, 3, 2, 0, 2, 4, 0, 3, 4, 4, 0, 3, 0, 0, 0, 3, 4, 0, 0, 1, 2, 1, 4, 2, 0, 0, 4, 4, 1, 2, 1, 4, 2, 1, 1, 3, 4, 2, 4, 1, 4, 3, 2, 3, 3, 4, 4, 1, 0, 0, 0, 3, 2, 2, 4, 0, 0, 0, 1, 0, 1, 4, 2, 1, 2, 0, 3, 2, 0, 2, 3, 4, 4, 3, 1, 0, 2, 2, 0, 3, 1, 4, 1, 2, 3, 0, 3, 1, 0, 3, 4] pubkeycol438 = [0, 2, 0, 1, 4, 3, 3, 4, 4, 2, 0, 3, 0, 2, 1, 0, 0, 1, 3, 4, 0, 4, 3, 0, 2, 1, 4, 2, 1, 2, 3, 1, 3, 4, 2, 0, 4, 0, 1, 1, 3, 3, 2, 3, 1, 2, 2, 4, 3, 2, 2, 3, 3, 1, 4, 1, 3, 4, 2, 0, 0, 2, 1, 4, 0, 0, 0, 4, 0, 1, 0, 0, 2, 4, 0, 0, 1, 0, 2, 2, 2, 4, 4, 1, 0, 4, 3, 0, 0, 3, 2, 2, 4, 0, 1, 0, 4, 4, 1, 4, 3, 3, 2, 2, 4, 0, 0, 0, 0, 3, 0, 4, 1, 2, 4, 3, 0, 3, 2, 2, 2, 4, 0, 2, 0, 4, 0, 2, 1, 0, 2, 4, 4, 1, 4, 0, 3, 4, 2, 1, 4, 3, 2, 4, 3, 3, 0, 0, 0, 4, 0, 0, 3, 3, 0, 2, 3, 2, 4, 2, 1, 2, 3, 3, 2, 4, 0, 2, 4, 3, 4, 1, 0, 2, 2, 3, 4, 0, 3, 3, 0, 0, 0, 0, 2, 1, 3, 2, 1, 1, 3, 3, 2, 0, 4, 2, 1, 1, 3, 3, 3, 0, 3, 1, 0, 2, 2, 3, 2, 1, 3, 1, 0, 3, 0, 3, 0, 2, 4, 1, 3, 0, 3, 2, 4, 0, 4, 3, 4, 4, 3, 0, 2, 1, 0, 2, 4, 2, 2, 2, 2, 0, 1, 2, 0, 3, 4, 1, 2, 4, 4, 4, 3, 2, 1, 4, 1, 2, 0, 4, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 0, 0, 4, 3, 0, 4, 0, 4, 2, 4, 3, 4, 3, 1, 3, 2, 3, 1, 1, 1, 4, 0, 1, 3, 0, 1, 2, 0, 3, 1, 3, 2, 3, 4, 1, 0, 0, 1, 3, 0, 3, 2, 3, 4, 4, 0, 2, 1, 4, 0, 1, 0, 3, 3, 3, 1, 3, 3, 4, 3, 0, 4, 1, 1, 0, 1, 0, 4, 0, 3, 1, 0, 3, 1, 1, 0, 0, 2, 2, 1, 2, 0, 3, 1, 1, 1, 2, 1, 4, 2, 1, 2, 1, 4, 3, 3, 1, 4, 3, 4, 1, 4, 2, 2, 4, 0, 0, 4, 4, 3, 4, 1, 3, 2, 0, 1, 4, 1, 0, 0, 3, 4, 3, 2, 0, 2, 2, 3, 3, 1] pubkeycol439 = [4, 1, 2, 2, 1, 4, 0, 0, 2, 4, 0, 2, 0, 1, 4, 0, 3, 3, 3, 2, 4, 1, 0, 0, 4, 4, 2, 1, 2, 0, 3, 0, 4, 1, 2, 4, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 2, 2, 4, 3, 0, 2, 2, 4, 0, 3, 1, 2, 4, 1, 1, 3, 0, 0, 3, 3, 0, 3, 3, 1, 0, 0, 4, 0, 2, 4, 3, 4, 2, 2, 3, 2, 3, 1, 0, 4, 0, 3, 4, 1, 2, 1, 1, 3, 2, 1, 2, 3, 3, 0, 3, 3, 2, 0, 0, 4, 4, 3, 1, 1, 0, 1, 3, 3, 2, 4, 4, 4, 2, 0, 1, 3, 3, 0, 4, 3, 0, 4, 1, 4, 4, 4, 2, 3, 4, 1, 3, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 4, 0, 0, 4, 4, 3, 2, 3, 1, 0, 3, 1, 4, 4, 3, 0, 4, 0, 4, 4, 2, 3, 1, 4, 0, 3, 1, 1, 1, 2, 2, 1, 1, 4, 1, 0, 4, 1, 0, 4, 1, 2, 2, 0, 4, 1, 3, 0, 4, 2, 2, 4, 4, 3, 0, 2, 2, 0, 4, 0, 4, 4, 4, 2, 1, 4, 2, 2, 2, 3, 1, 3, 2, 4, 2, 0, 3, 2, 0, 3, 2, 4, 0, 1, 4, 0, 3, 2, 3, 2, 0, 0, 1, 3, 1, 1, 2, 4, 2, 4, 3, 2, 2, 1, 4, 1, 2, 0, 3, 1, 2, 0, 4, 2, 0, 0, 1, 2, 0, 2, 2, 0, 3, 1, 3, 1, 0, 3, 3, 4, 0, 1, 4, 4, 2, 3, 4, 2, 0, 3, 4, 4, 4, 1, 0, 1, 3, 3, 4, 0, 2, 2, 2, 4, 0, 3, 2, 1, 0, 3, 2, 1, 3, 3, 4, 3, 4, 0, 2, 0, 0, 2, 4, 0, 1, 3, 1, 0, 3, 2, 2, 4, 0, 3, 2, 1, 0, 2, 3, 3, 3, 3, 4, 4, 0, 1, 1, 4, 3, 1, 3, 3, 2, 3, 1, 1, 1, 1, 0, 1, 4, 3, 0, 4, 2, 1, 4, 0, 3, 1, 2, 4, 1, 4, 1, 1, 3, 4, 4, 2, 1, 4, 0, 3, 3, 2, 1, 4, 3, 4, 3, 3, 3, 3, 4, 2, 3, 1, 2] pubkeycol440 = [0, 2, 0, 0, 2, 4, 0, 3, 0, 2, 3, 0, 2, 3, 1, 4, 1, 3, 1, 0, 4, 2, 3, 4, 2, 0, 3, 2, 2, 1, 3, 1, 3, 1, 0, 2, 3, 4, 4, 4, 4, 2, 3, 3, 3, 0, 3, 1, 0, 1, 2, 1, 2, 4, 0, 2, 1, 2, 3, 2, 3, 4, 2, 1, 1, 3, 2, 4, 0, 0, 1, 4, 2, 1, 1, 1, 1, 2, 0, 1, 4, 2, 3, 4, 3, 0, 3, 3, 3, 4, 4, 1, 4, 4, 3, 1, 1, 1, 0, 4, 2, 2, 3, 1, 4, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 1, 3, 4, 0, 1, 4, 3, 0, 3, 4, 0, 1, 2, 3, 1, 0, 2, 2, 2, 1, 4, 3, 1, 0, 0, 1, 1, 3, 4, 4, 4, 3, 0, 0, 0, 1, 4, 1, 4, 3, 2, 1, 2, 3, 4, 0, 4, 4, 3, 1, 2, 0, 4, 2, 4, 2, 3, 4, 2, 1, 0, 0, 2, 2, 3, 1, 3, 0, 4, 2, 1, 2, 2, 3, 1, 2, 2, 3, 4, 0, 4, 3, 2, 2, 3, 4, 4, 1, 1, 3, 0, 1, 0, 3, 1, 4, 1, 3, 2, 1, 3, 2, 0, 2, 2, 3, 2, 4, 3, 1, 0, 2, 3, 1, 3, 3, 4, 1, 1, 1, 4, 4, 0, 2, 2, 3, 0, 2, 3, 4, 3, 0, 2, 3, 0, 2, 2, 1, 4, 0, 4, 1, 1, 1, 4, 2, 0, 2, 2, 2, 4, 2, 2, 1, 3, 4, 3, 2, 0, 1, 0, 0, 1, 4, 1, 2, 4, 3, 2, 0, 3, 2, 4, 3, 2, 0, 3, 3, 1, 2, 1, 0, 2, 2, 4, 0, 4, 0, 1, 0, 0, 2, 4, 2, 0, 4, 3, 4, 3, 2, 1, 2, 4, 3, 4, 4, 0, 3, 4, 1, 0, 2, 0, 3, 0, 0, 3, 4, 3, 2, 1, 3, 0, 1, 2, 1, 4, 4, 1, 3, 1, 4, 1, 4, 4, 3, 2, 3, 3, 1, 0, 2, 1, 0, 0, 2, 4, 4, 1, 1, 3, 1, 4, 1, 4, 1, 2, 3, 3, 0, 4, 3, 2, 1, 1, 4, 0, 0, 1, 3, 4, 2, 4, 1, 3, 1, 1, 3, 1, 0, 2, 1, 0, 0, 3] pubkeycol441 = [1, 4, 1, 3, 3, 4, 4, 2, 1, 2, 0, 1, 2, 4, 2, 3, 2, 3, 1, 0, 1, 1, 4, 1, 0, 4, 3, 4, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 3, 1, 1, 4, 3, 0, 1, 2, 3, 1, 0, 0, 0, 3, 0, 1, 2, 1, 4, 0, 3, 4, 0, 1, 4, 4, 4, 1, 1, 3, 1, 4, 2, 1, 3, 4, 3, 1, 1, 2, 1, 3, 4, 2, 2, 1, 2, 3, 0, 2, 4, 3, 0, 0, 3, 0, 1, 3, 4, 2, 1, 2, 2, 3, 4, 2, 4, 4, 2, 3, 4, 2, 2, 0, 0, 0, 4, 2, 3, 4, 4, 0, 2, 3, 2, 1, 2, 1, 1, 3, 3, 1, 4, 0, 4, 4, 2, 4, 1, 4, 4, 3, 3, 1, 0, 2, 3, 2, 0, 2, 4, 4, 0, 3, 1, 4, 2, 3, 1, 0, 2, 4, 4, 4, 1, 1, 2, 2, 1, 1, 2, 3, 3, 4, 3, 1, 1, 3, 3, 0, 0, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 3, 4, 0, 1, 2, 2, 4, 2, 0, 2, 1, 3, 1, 0, 1, 0, 2, 0, 0, 4, 2, 4, 4, 2, 2, 1, 2, 2, 3, 2, 1, 3, 1, 4, 2, 0, 4, 3, 1, 0, 0, 4, 2, 2, 0, 3, 0, 1, 4, 3, 4, 0, 4, 0, 2, 1, 0, 2, 0, 1, 0, 0, 4, 3, 4, 2, 3, 1, 3, 3, 4, 3, 4, 3, 0, 4, 1, 4, 3, 2, 1, 2, 0, 2, 0, 0, 4, 4, 2, 3, 1, 1, 0, 0, 4, 1, 1, 0, 3, 3, 3, 1, 0, 4, 0, 1, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 0, 3, 4, 4, 2, 2, 1, 4, 3, 2, 0, 4, 1, 1, 3, 3, 0, 4, 1, 0, 4, 3, 0, 0, 3, 2, 1, 4, 1, 1, 4, 4, 1, 1, 1, 2, 1, 3, 3, 1, 1, 2, 2, 3, 4, 0, 2, 0, 2, 2, 3, 0, 3, 2, 4, 0, 4, 1, 2, 2, 3, 2, 2, 0, 3, 1, 2, 1, 0, 4, 1, 2, 3, 0, 1, 3, 0, 3, 3, 3, 0, 4, 4, 2, 0, 4, 4, 0, 4, 0, 1, 2, 1, 2, 2] pubkeycol442 = [2, 2, 4, 0, 3, 3, 1, 4, 1, 1, 3, 3, 3, 4, 1, 0, 3, 0, 1, 3, 2, 4, 4, 2, 0, 2, 4, 1, 2, 1, 4, 3, 3, 3, 4, 2, 2, 4, 0, 1, 1, 1, 1, 4, 4, 0, 3, 3, 2, 3, 2, 0, 1, 3, 2, 1, 3, 2, 1, 0, 1, 0, 0, 4, 2, 1, 0, 2, 1, 3, 2, 0, 4, 1, 2, 0, 2, 4, 3, 0, 0, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 1, 2, 4, 0, 2, 4, 1, 0, 1, 4, 4, 3, 3, 0, 2, 4, 3, 0, 2, 3, 2, 3, 4, 0, 4, 2, 0, 4, 2, 4, 4, 0, 0, 4, 0, 0, 2, 1, 4, 3, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 1, 4, 0, 2, 4, 0, 4, 3, 2, 3, 0, 4, 3, 3, 4, 1, 3, 0, 2, 2, 0, 4, 3, 3, 4, 2, 4, 0, 3, 3, 2, 4, 2, 0, 0, 0, 3, 4, 2, 2, 4, 4, 1, 1, 0, 1, 1, 3, 3, 1, 3, 3, 0, 1, 0, 0, 0, 1, 1, 2, 3, 0, 3, 1, 4, 2, 0, 1, 0, 3, 1, 2, 3, 4, 2, 0, 2, 4, 3, 4, 0, 2, 1, 4, 0, 3, 2, 0, 0, 2, 3, 3, 4, 3, 0, 1, 0, 3, 0, 1, 1, 2, 3, 2, 2, 2, 0, 0, 0, 0, 3, 2, 3, 0, 4, 0, 3, 3, 4, 1, 0, 3, 2, 1, 0, 1, 1, 3, 1, 1, 1, 3, 2, 4, 2, 2, 2, 2, 4, 2, 4, 0, 0, 2, 1, 1, 0, 1, 0, 4, 4, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 4, 0, 0, 4, 2, 1, 4, 2, 2, 4, 2, 4, 4, 1, 4, 1, 2, 3, 4, 0, 0, 1, 3, 1, 4, 4, 4, 1, 3, 3, 1, 0, 3, 2, 4, 0, 4, 3, 4, 3, 4, 1, 2, 4, 1, 4, 3, 3, 1, 3, 3, 4, 3, 3, 2, 4, 4, 4, 4, 1, 4, 0, 1, 4, 0, 0, 0, 2, 0, 3, 1, 4, 4, 4, 3, 0, 4, 3, 4, 3, 4, 3, 2, 0, 3, 1, 4, 2, 3, 1, 4, 2, 4, 4, 0, 0, 2] pubkeycol443 = [2, 1, 1, 1, 2, 3, 3, 0, 4, 1, 3, 2, 0, 3, 3, 1, 4, 0, 0, 4, 2, 0, 0, 2, 3, 2, 3, 1, 4, 4, 2, 3, 1, 0, 1, 1, 0, 4, 0, 0, 1, 0, 0, 0, 3, 1, 3, 2, 4, 0, 1, 4, 1, 0, 4, 4, 2, 3, 4, 4, 0, 3, 0, 1, 2, 2, 3, 2, 2, 4, 2, 3, 0, 0, 3, 0, 0, 4, 1, 3, 0, 4, 0, 3, 3, 3, 1, 0, 0, 0, 2, 1, 1, 3, 2, 4, 2, 1, 1, 3, 1, 0, 1, 4, 2, 1, 4, 2, 3, 0, 1, 3, 2, 4, 1, 0, 0, 2, 1, 3, 4, 0, 3, 2, 4, 4, 2, 4, 1, 4, 3, 0, 4, 4, 0, 3, 1, 3, 2, 0, 0, 3, 0, 4, 3, 3, 1, 1, 2, 1, 3, 4, 2, 3, 4, 0, 3, 0, 4, 3, 4, 4, 3, 3, 3, 2, 3, 1, 4, 1, 3, 3, 3, 4, 3, 4, 2, 2, 1, 3, 1, 3, 1, 3, 4, 0, 1, 1, 1, 2, 2, 1, 3, 1, 0, 1, 1, 1, 0, 2, 2, 2, 4, 4, 0, 0, 2, 3, 1, 2, 4, 3, 2, 2, 2, 1, 0, 3, 0, 1, 2, 4, 1, 0, 2, 3, 2, 1, 1, 4, 1, 0, 4, 0, 0, 2, 2, 1, 0, 3, 0, 4, 0, 3, 4, 3, 1, 0, 4, 0, 0, 3, 4, 0, 4, 4, 0, 1, 1, 4, 3, 1, 2, 0, 1, 0, 3, 4, 2, 4, 3, 0, 0, 4, 1, 3, 4, 0, 2, 0, 0, 2, 1, 2, 3, 4, 0, 3, 0, 0, 2, 4, 1, 4, 2, 0, 4, 2, 3, 3, 3, 4, 1, 1, 1, 1, 3, 4, 3, 0, 1, 0, 1, 2, 1, 4, 3, 2, 2, 3, 2, 0, 1, 3, 0, 2, 3, 1, 4, 3, 2, 4, 1, 0, 2, 1, 1, 0, 2, 2, 0, 4, 1, 2, 2, 2, 3, 4, 4, 4, 0, 2, 4, 2, 0, 1, 0, 3, 4, 1, 1, 2, 1, 4, 0, 3, 2, 1, 3, 3, 1, 0, 3, 1, 1, 4, 3, 1, 3, 0, 2, 0, 0, 1, 2, 4, 0, 3, 0, 4, 4, 2, 0, 3, 0, 1, 0, 1, 3, 2] pubkeycol444 = [2, 4, 4, 0, 4, 1, 2, 2, 3, 4, 1, 4, 2, 2, 1, 2, 4, 2, 3, 3, 2, 0, 2, 3, 4, 4, 2, 0, 3, 4, 1, 2, 4, 4, 4, 1, 2, 4, 0, 4, 3, 0, 2, 0, 2, 1, 0, 2, 0, 3, 1, 2, 2, 0, 1, 1, 2, 2, 4, 0, 2, 4, 3, 2, 1, 0, 2, 3, 2, 4, 2, 1, 0, 3, 0, 3, 0, 1, 4, 3, 2, 0, 0, 4, 3, 2, 2, 3, 3, 0, 3, 1, 2, 1, 0, 2, 0, 0, 4, 1, 1, 2, 1, 0, 3, 1, 1, 3, 3, 1, 2, 3, 1, 3, 0, 0, 0, 0, 1, 0, 3, 2, 3, 0, 4, 2, 1, 4, 0, 2, 2, 4, 1, 3, 0, 1, 0, 3, 4, 4, 2, 3, 2, 1, 3, 3, 3, 3, 1, 2, 3, 1, 0, 2, 4, 3, 2, 4, 0, 2, 1, 0, 0, 3, 4, 0, 0, 4, 3, 4, 4, 3, 2, 0, 0, 3, 4, 1, 0, 0, 4, 2, 2, 3, 1, 4, 2, 2, 1, 3, 2, 1, 1, 2, 3, 2, 0, 1, 0, 2, 1, 2, 4, 2, 0, 4, 4, 0, 3, 2, 3, 2, 3, 1, 4, 0, 1, 3, 0, 3, 4, 3, 3, 2, 2, 4, 2, 4, 3, 3, 3, 0, 4, 3, 0, 1, 3, 0, 1, 0, 1, 4, 1, 0, 4, 3, 4, 1, 0, 0, 4, 4, 1, 3, 3, 0, 3, 1, 0, 4, 3, 4, 0, 4, 3, 0, 0, 3, 2, 2, 2, 3, 2, 1, 2, 4, 2, 4, 3, 4, 4, 0, 4, 1, 4, 4, 3, 1, 3, 4, 1, 0, 0, 0, 1, 1, 4, 1, 2, 1, 2, 1, 3, 4, 0, 2, 4, 3, 0, 0, 1, 2, 0, 3, 0, 0, 4, 3, 3, 1, 1, 4, 3, 1, 1, 1, 1, 4, 1, 2, 3, 3, 2, 0, 1, 1, 4, 1, 3, 1, 1, 1, 0, 4, 1, 4, 3, 4, 2, 3, 4, 0, 4, 2, 0, 2, 3, 3, 1, 2, 3, 4, 3, 1, 0, 4, 4, 1, 2, 3, 2, 0, 3, 4, 4, 0, 3, 3, 3, 2, 3, 3, 2, 2, 1, 1, 1, 2, 1, 4, 0, 0, 1, 1, 2, 0, 2, 3, 2, 1] pubkeycol445 = [0, 0, 0, 4, 3, 3, 3, 2, 4, 1, 3, 4, 1, 1, 4, 1, 0, 0, 3, 0, 1, 1, 4, 3, 0, 4, 1, 4, 4, 2, 3, 2, 4, 1, 2, 4, 4, 3, 3, 4, 2, 3, 0, 4, 2, 1, 3, 0, 2, 1, 4, 3, 3, 4, 0, 0, 3, 0, 0, 4, 0, 0, 0, 2, 4, 0, 3, 3, 4, 1, 0, 3, 1, 2, 3, 1, 1, 1, 1, 3, 1, 4, 4, 3, 1, 2, 4, 1, 4, 2, 2, 4, 2, 3, 3, 0, 3, 0, 4, 0, 2, 1, 4, 4, 2, 1, 1, 3, 2, 0, 3, 2, 2, 3, 4, 4, 4, 4, 2, 0, 2, 0, 3, 1, 1, 3, 1, 0, 4, 0, 3, 1, 0, 0, 1, 3, 3, 4, 3, 0, 0, 2, 1, 1, 2, 1, 3, 2, 3, 2, 0, 1, 3, 1, 2, 2, 0, 3, 0, 2, 0, 3, 2, 3, 1, 4, 1, 3, 4, 1, 3, 4, 2, 2, 0, 2, 3, 2, 4, 1, 3, 3, 2, 4, 1, 2, 0, 3, 4, 4, 2, 0, 1, 3, 1, 1, 3, 3, 0, 4, 3, 1, 0, 4, 0, 4, 0, 3, 3, 3, 2, 2, 0, 0, 3, 0, 2, 1, 1, 1, 3, 4, 3, 0, 4, 3, 2, 1, 2, 0, 1, 4, 1, 0, 1, 2, 1, 1, 1, 1, 4, 0, 4, 1, 2, 4, 2, 2, 2, 1, 1, 0, 3, 2, 3, 3, 4, 4, 0, 4, 4, 3, 2, 0, 4, 3, 2, 2, 4, 1, 1, 0, 0, 0, 2, 0, 3, 3, 4, 1, 2, 1, 2, 0, 1, 2, 2, 4, 0, 4, 2, 0, 0, 3, 3, 3, 3, 0, 2, 0, 4, 0, 0, 2, 1, 3, 3, 3, 3, 3, 0, 2, 3, 2, 0, 2, 1, 1, 0, 4, 3, 0, 2, 3, 1, 4, 2, 4, 2, 2, 0, 1, 3, 0, 4, 0, 1, 1, 4, 2, 2, 1, 2, 3, 0, 2, 2, 4, 2, 1, 1, 4, 1, 1, 2, 2, 4, 4, 2, 4, 0, 3, 4, 3, 0, 0, 1, 2, 2, 3, 4, 1, 2, 0, 1, 4, 4, 4, 1, 2, 1, 4, 0, 4, 4, 0, 3, 1, 4, 3, 0, 0, 2, 0, 0, 0, 3, 4, 3, 0] pubkeycol446 = [1, 4, 4, 4, 1, 0, 3, 0, 4, 3, 2, 4, 4, 1, 0, 4, 4, 4, 2, 1, 4, 1, 2, 2, 0, 0, 4, 2, 4, 2, 2, 0, 0, 0, 4, 1, 2, 2, 2, 3, 4, 4, 3, 1, 1, 2, 3, 0, 4, 2, 4, 0, 3, 0, 3, 0, 3, 1, 0, 1, 4, 0, 0, 3, 4, 0, 3, 1, 3, 2, 2, 1, 0, 2, 4, 2, 2, 3, 4, 2, 3, 2, 4, 0, 4, 0, 4, 3, 2, 3, 0, 1, 1, 0, 0, 0, 0, 2, 3, 1, 0, 1, 2, 0, 2, 2, 4, 2, 3, 3, 0, 2, 3, 4, 1, 2, 2, 2, 1, 3, 4, 1, 4, 3, 4, 0, 2, 4, 2, 0, 2, 2, 3, 4, 3, 4, 4, 2, 4, 4, 0, 3, 2, 1, 1, 3, 4, 1, 1, 0, 3, 3, 4, 0, 2, 1, 2, 4, 3, 1, 1, 2, 0, 3, 0, 4, 0, 3, 3, 0, 4, 2, 3, 3, 4, 4, 2, 0, 4, 4, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 4, 3, 0, 0, 1, 1, 2, 0, 3, 0, 4, 0, 0, 4, 1, 1, 1, 4, 4, 3, 3, 1, 2, 1, 1, 4, 2, 0, 1, 0, 1, 4, 3, 0, 0, 0, 4, 4, 4, 0, 3, 1, 3, 2, 0, 1, 2, 4, 2, 1, 1, 4, 0, 3, 4, 3, 3, 1, 4, 1, 4, 0, 2, 2, 2, 0, 2, 4, 0, 2, 1, 1, 4, 3, 0, 1, 2, 2, 2, 4, 0, 3, 4, 4, 3, 0, 3, 1, 4, 4, 0, 0, 1, 0, 1, 4, 3, 0, 4, 1, 1, 2, 2, 0, 1, 3, 4, 0, 1, 3, 2, 3, 0, 1, 0, 0, 2, 2, 4, 2, 4, 2, 1, 1, 4, 0, 0, 3, 3, 2, 3, 3, 4, 4, 3, 1, 2, 0, 4, 1, 1, 2, 3, 1, 1, 4, 0, 0, 3, 0, 0, 4, 0, 4, 1, 1, 4, 0, 2, 0, 0, 1, 4, 3, 0, 3, 2, 3, 2, 4, 2, 3, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 4, 1, 3, 1, 0, 3, 3, 2, 2, 4, 0, 2, 2, 3, 3, 4, 4, 1, 4, 0, 4, 3, 1, 4, 3, 4, 2, 0] pubkeycol447 = [2, 3, 2, 1, 3, 1, 1, 2, 3, 1, 2, 2, 0, 3, 1, 0, 2, 4, 4, 4, 0, 2, 2, 0, 4, 1, 0, 3, 4, 1, 4, 2, 2, 1, 2, 4, 0, 0, 2, 3, 1, 4, 0, 4, 3, 1, 3, 3, 0, 0, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 4, 2, 2, 0, 3, 1, 4, 2, 1, 4, 2, 0, 0, 4, 3, 2, 1, 3, 3, 3, 0, 4, 4, 0, 1, 3, 2, 1, 0, 2, 4, 3, 1, 2, 0, 3, 3, 2, 3, 3, 0, 3, 2, 0, 0, 3, 4, 3, 4, 0, 4, 0, 4, 3, 1, 1, 1, 3, 1, 4, 3, 0, 3, 0, 0, 3, 2, 2, 4, 2, 2, 3, 0, 4, 1, 4, 2, 2, 4, 3, 0, 1, 1, 3, 1, 4, 1, 4, 3, 0, 3, 4, 1, 1, 2, 4, 2, 4, 1, 2, 4, 4, 2, 4, 4, 3, 4, 1, 0, 0, 0, 3, 0, 1, 2, 1, 1, 3, 0, 0, 4, 0, 2, 1, 3, 4, 1, 2, 1, 2, 3, 3, 0, 4, 0, 3, 1, 3, 2, 3, 0, 0, 4, 4, 4, 4, 1, 4, 0, 3, 1, 3, 0, 4, 3, 2, 3, 2, 1, 1, 3, 4, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 4, 3, 1, 2, 2, 2, 3, 2, 1, 4, 3, 4, 3, 1, 0, 4, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 3, 4, 4, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 4, 0, 0, 1, 3, 4, 0, 3, 1, 1, 0, 4, 3, 4, 2, 1, 1, 2, 3, 3, 1, 0, 1, 0, 2, 3, 1, 4, 1, 0, 1, 0, 2, 4, 3, 1, 4, 3, 2, 0, 2, 3, 3, 2, 2, 1, 2, 4, 0, 1, 1, 4, 0, 0, 3, 2, 1, 4, 4, 3, 4, 3, 3, 4, 2, 1, 4, 3, 1, 1, 4, 4, 3, 2, 1, 3, 2, 3, 4, 3, 0, 4, 4, 2, 3, 1, 0, 3, 3, 3, 1, 1, 2, 0, 0, 0, 4, 4, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 4, 0, 4, 2, 3, 4, 3, 2, 0, 0, 3, 0, 3, 1, 0, 3, 2, 1, 1, 1] pubkeycol448 = [0, 4, 0, 0, 1, 0, 4, 3, 1, 0, 1, 1, 0, 3, 2, 4, 0, 1, 4, 3, 1, 2, 3, 4, 1, 1, 2, 4, 1, 1, 1, 3, 2, 3, 1, 2, 2, 2, 4, 2, 1, 4, 1, 2, 0, 2, 4, 0, 2, 2, 4, 4, 3, 3, 4, 2, 4, 2, 0, 3, 2, 4, 3, 1, 0, 4, 1, 3, 3, 1, 4, 3, 3, 1, 3, 0, 4, 1, 4, 0, 0, 1, 2, 1, 4, 0, 0, 2, 1, 0, 0, 4, 2, 2, 2, 0, 0, 1, 4, 1, 4, 2, 0, 0, 1, 3, 3, 4, 2, 2, 0, 4, 0, 0, 0, 2, 2, 4, 0, 4, 4, 4, 3, 4, 4, 0, 3, 2, 2, 0, 3, 2, 1, 1, 4, 2, 2, 4, 3, 2, 1, 3, 3, 2, 0, 0, 0, 1, 1, 2, 0, 1, 3, 4, 2, 4, 3, 3, 4, 1, 0, 4, 4, 3, 3, 2, 4, 2, 3, 4, 0, 4, 1, 3, 3, 4, 1, 3, 2, 1, 4, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 0, 0, 4, 0, 0, 3, 2, 3, 4, 2, 4, 4, 0, 4, 4, 0, 2, 1, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 2, 0, 3, 2, 0, 1, 1, 1, 3, 0, 0, 3, 4, 1, 1, 0, 1, 4, 0, 0, 3, 2, 0, 1, 4, 3, 0, 3, 0, 3, 4, 4, 3, 4, 3, 4, 0, 0, 0, 2, 4, 2, 4, 4, 4, 4, 2, 0, 1, 4, 4, 3, 0, 0, 2, 4, 4, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 3, 1, 4, 2, 4, 3, 1, 4, 4, 4, 1, 4, 4, 2, 3, 2, 4, 2, 4, 2, 1, 0, 4, 1, 4, 1, 0, 4, 0, 1, 3, 1, 2, 1, 1, 3, 0, 4, 2, 2, 2, 0, 1, 3, 1, 1, 3, 0, 0, 0, 4, 1, 1, 3, 0, 0, 1, 4, 2, 4, 4, 0, 4, 0, 1, 4, 1, 0, 3, 4, 3, 4, 3, 1, 4, 0, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 4, 1, 1, 2, 3, 3, 3, 1, 1, 3, 2, 4, 4, 3] pubkeycol449 = [1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 3, 2, 0, 3, 4, 2, 2, 2, 4, 0, 1, 3, 3, 4, 2, 1, 1, 0, 3, 2, 3, 0, 4, 2, 3, 3, 2, 0, 0, 2, 0, 3, 3, 0, 1, 0, 2, 0, 0, 2, 4, 3, 3, 1, 0, 4, 3, 2, 2, 2, 1, 0, 0, 4, 1, 1, 2, 1, 1, 1, 0, 1, 3, 1, 2, 0, 1, 2, 4, 1, 0, 0, 2, 3, 1, 2, 3, 1, 1, 2, 4, 2, 1, 3, 1, 3, 4, 0, 0, 4, 3, 2, 4, 0, 0, 3, 4, 0, 3, 3, 2, 0, 4, 3, 1, 4, 2, 3, 2, 2, 4, 3, 1, 3, 3, 1, 3, 4, 4, 1, 3, 4, 3, 0, 3, 0, 3, 4, 4, 2, 2, 1, 2, 0, 0, 0, 4, 0, 4, 4, 2, 1, 0, 2, 4, 4, 1, 0, 3, 4, 4, 3, 1, 2, 1, 0, 4, 3, 4, 1, 2, 3, 1, 0, 1, 1, 1, 1, 1, 4, 3, 4, 0, 3, 4, 3, 2, 0, 3, 4, 2, 3, 0, 1, 0, 2, 1, 3, 4, 0, 1, 4, 2, 2, 3, 3, 1, 3, 0, 1, 2, 0, 4, 2, 3, 0, 4, 0, 3, 3, 1, 4, 3, 4, 1, 0, 3, 3, 4, 2, 0, 1, 1, 2, 2, 2, 4, 3, 4, 1, 0, 3, 1, 4, 3, 0, 3, 3, 2, 1, 1, 4, 4, 3, 0, 4, 0, 1, 3, 1, 4, 0, 3, 1, 4, 1, 0, 4, 1, 3, 4, 0, 0, 0, 3, 3, 3, 1, 3, 4, 4, 2, 0, 4, 4, 1, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 4, 2, 0, 4, 0, 2, 4, 3, 1, 1, 4, 2, 1, 1, 1, 3, 4, 0, 1, 4, 0, 1, 1, 4, 1, 0, 3, 2, 3, 2, 1, 3, 3, 0, 3, 0, 1, 0, 0, 0, 3, 0, 2, 4, 3, 4, 0, 2, 3, 3, 3, 4, 4, 1, 4, 1, 4, 4, 1, 2, 0, 4, 2, 4, 2, 4, 1, 4, 4, 0, 1, 0, 3, 4, 3, 2, 2, 3, 0, 0, 1, 3, 2, 4, 0, 3, 1, 1, 1, 4, 1, 2, 0, 3, 2, 4, 4, 2, 4, 2, 0, 1, 3] pubkeycol450 = [0, 2, 2, 3, 0, 0, 1, 4, 4, 0, 0, 2, 2, 3, 2, 4, 3, 3, 0, 4, 2, 1, 1, 4, 1, 0, 4, 3, 3, 4, 4, 3, 4, 0, 1, 3, 0, 0, 0, 3, 1, 0, 2, 4, 4, 0, 2, 2, 1, 3, 3, 3, 3, 4, 2, 3, 1, 3, 1, 1, 1, 3, 2, 4, 1, 3, 3, 3, 2, 3, 1, 3, 1, 1, 3, 2, 4, 4, 4, 0, 4, 4, 3, 0, 4, 3, 2, 3, 0, 2, 2, 4, 2, 1, 4, 1, 2, 1, 2, 0, 4, 2, 0, 0, 1, 1, 4, 0, 1, 1, 3, 2, 4, 2, 2, 3, 2, 0, 0, 4, 0, 1, 1, 3, 1, 2, 1, 4, 2, 1, 0, 1, 0, 2, 2, 1, 4, 1, 4, 1, 2, 1, 1, 2, 0, 4, 2, 0, 0, 1, 2, 2, 0, 1, 0, 4, 4, 1, 1, 4, 3, 4, 1, 2, 4, 2, 3, 3, 3, 4, 2, 2, 2, 0, 3, 2, 1, 4, 1, 0, 2, 3, 3, 1, 3, 4, 4, 1, 4, 1, 0, 0, 0, 2, 2, 4, 3, 1, 2, 2, 2, 2, 1, 3, 4, 3, 3, 1, 0, 0, 2, 4, 2, 3, 0, 1, 2, 4, 1, 2, 4, 3, 4, 3, 2, 4, 4, 3, 3, 1, 2, 1, 3, 2, 0, 2, 3, 3, 3, 3, 3, 4, 2, 3, 3, 0, 1, 0, 1, 1, 4, 0, 3, 3, 4, 0, 4, 3, 3, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 4, 3, 0, 2, 2, 1, 2, 2, 1, 0, 4, 3, 0, 3, 4, 3, 2, 1, 1, 3, 1, 3, 2, 4, 3, 2, 0, 1, 2, 1, 0, 1, 3, 1, 1, 4, 3, 1, 3, 1, 1, 1, 0, 0, 3, 2, 4, 2, 1, 0, 4, 3, 2, 0, 1, 3, 1, 0, 3, 0, 0, 3, 0, 4, 3, 3, 1, 4, 3, 0, 2, 1, 2, 2, 0, 2, 0, 0, 4, 1, 1, 2, 4, 4, 1, 3, 3, 0, 1, 3, 3, 2, 0, 3, 0, 3, 1, 1, 0, 4, 0, 2, 0, 2, 3, 4, 0, 1, 1, 2, 4, 3, 2, 2, 3, 0, 3, 1, 1, 4, 1, 3, 0, 3, 1, 1, 0, 4, 1, 1, 2] pubkeycol451 = [3, 4, 2, 1, 0, 3, 0, 1, 4, 3, 0, 3, 1, 2, 2, 3, 2, 4, 0, 2, 0, 0, 2, 1, 2, 1, 4, 3, 2, 0, 2, 3, 4, 0, 0, 3, 3, 1, 0, 3, 1, 4, 4, 1, 2, 0, 3, 1, 2, 4, 2, 0, 3, 4, 1, 3, 1, 3, 4, 1, 3, 2, 0, 0, 3, 0, 0, 3, 4, 1, 1, 0, 0, 3, 0, 1, 1, 4, 1, 0, 2, 0, 3, 1, 2, 3, 2, 4, 4, 3, 2, 4, 2, 0, 1, 0, 0, 0, 4, 0, 2, 2, 1, 4, 0, 3, 0, 3, 3, 1, 4, 4, 0, 3, 1, 0, 4, 0, 0, 2, 2, 0, 4, 1, 2, 0, 2, 1, 4, 4, 2, 2, 2, 2, 4, 0, 4, 1, 4, 0, 1, 4, 3, 0, 0, 2, 4, 3, 3, 4, 3, 4, 2, 0, 3, 1, 2, 1, 0, 4, 0, 3, 1, 1, 0, 0, 1, 3, 1, 0, 0, 3, 2, 0, 3, 3, 0, 1, 1, 4, 1, 1, 1, 0, 4, 0, 0, 0, 3, 1, 3, 4, 4, 1, 0, 4, 1, 0, 4, 2, 0, 3, 4, 3, 4, 3, 2, 0, 0, 1, 1, 2, 4, 4, 2, 4, 4, 0, 2, 1, 3, 4, 3, 3, 2, 1, 0, 4, 4, 2, 2, 4, 1, 2, 3, 0, 2, 2, 0, 0, 2, 2, 3, 2, 1, 1, 3, 2, 3, 0, 2, 3, 0, 0, 3, 1, 3, 3, 3, 1, 3, 3, 4, 3, 1, 1, 0, 4, 3, 0, 2, 4, 0, 3, 0, 4, 1, 4, 4, 1, 2, 3, 0, 2, 0, 0, 3, 1, 4, 0, 2, 4, 1, 4, 4, 3, 4, 0, 1, 4, 0, 3, 2, 1, 0, 2, 1, 0, 2, 2, 4, 4, 0, 0, 0, 1, 3, 0, 4, 1, 2, 0, 0, 4, 1, 0, 4, 0, 0, 4, 3, 2, 1, 2, 4, 4, 0, 4, 4, 0, 2, 4, 1, 2, 4, 2, 2, 0, 2, 4, 4, 0, 3, 0, 3, 4, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 4, 1, 1, 1, 0, 2, 3, 3, 0, 3, 3, 4, 3, 3, 2, 2, 2, 1, 1, 4, 0, 4, 0, 0, 0, 1, 0, 1, 1, 3, 3, 0, 3, 0] pubkeycol452 = [4, 3, 1, 4, 1, 1, 0, 0, 4, 2, 2, 0, 2, 3, 3, 1, 4, 3, 1, 4, 3, 3, 3, 2, 1, 2, 0, 4, 0, 3, 3, 0, 2, 0, 3, 1, 3, 2, 2, 1, 0, 3, 4, 4, 0, 4, 0, 3, 3, 3, 4, 1, 0, 1, 4, 2, 4, 2, 2, 3, 3, 2, 3, 1, 0, 0, 3, 3, 1, 0, 2, 2, 1, 4, 2, 4, 1, 1, 4, 1, 3, 0, 2, 3, 0, 3, 2, 3, 1, 4, 2, 3, 3, 3, 2, 0, 1, 4, 0, 4, 0, 4, 1, 2, 1, 2, 4, 2, 3, 3, 2, 1, 2, 2, 1, 0, 4, 3, 0, 3, 0, 1, 0, 1, 4, 3, 1, 1, 3, 2, 2, 0, 4, 1, 0, 3, 2, 1, 4, 0, 0, 1, 0, 1, 2, 3, 0, 2, 1, 0, 1, 1, 2, 1, 4, 2, 2, 4, 4, 2, 2, 2, 3, 0, 2, 4, 1, 4, 4, 4, 2, 4, 1, 2, 2, 1, 1, 4, 0, 0, 1, 2, 4, 0, 3, 4, 0, 2, 1, 1, 4, 0, 1, 4, 0, 1, 3, 0, 3, 3, 3, 2, 4, 3, 1, 3, 4, 4, 3, 0, 3, 4, 4, 4, 4, 1, 1, 3, 4, 2, 0, 1, 4, 1, 1, 3, 1, 1, 3, 3, 3, 2, 3, 3, 2, 2, 4, 1, 4, 0, 2, 1, 3, 4, 2, 4, 4, 2, 1, 1, 2, 1, 0, 4, 4, 3, 3, 0, 4, 1, 1, 0, 0, 0, 0, 3, 4, 4, 0, 2, 4, 2, 0, 0, 3, 1, 4, 1, 3, 0, 0, 3, 4, 0, 3, 2, 4, 2, 4, 0, 1, 1, 0, 4, 4, 3, 4, 1, 0, 4, 0, 4, 0, 4, 1, 2, 4, 0, 0, 0, 0, 1, 3, 1, 3, 4, 2, 2, 3, 3, 1, 2, 4, 0, 2, 1, 0, 1, 3, 3, 4, 4, 2, 4, 1, 1, 0, 1, 4, 1, 4, 1, 2, 4, 1, 4, 3, 0, 1, 2, 0, 2, 4, 1, 1, 0, 3, 4, 0, 1, 1, 1, 2, 2, 4, 2, 4, 2, 2, 4, 1, 3, 0, 3, 3, 1, 4, 1, 4, 2, 3, 2, 4, 3, 1, 1, 2, 2, 3, 3, 4, 4, 3, 0, 2, 0, 1, 1, 2, 1] pubkeycol453 = [2, 3, 2, 0, 2, 3, 0, 2, 2, 0, 4, 0, 2, 1, 4, 4, 1, 2, 3, 0, 3, 3, 3, 4, 4, 1, 2, 3, 1, 1, 4, 2, 1, 2, 0, 1, 2, 0, 2, 2, 4, 1, 3, 0, 3, 0, 2, 2, 1, 3, 1, 3, 2, 4, 3, 2, 2, 4, 3, 1, 0, 0, 0, 2, 1, 3, 0, 3, 1, 4, 2, 0, 0, 4, 0, 1, 0, 3, 1, 0, 1, 2, 2, 3, 2, 0, 2, 4, 0, 1, 2, 0, 1, 3, 0, 0, 4, 4, 2, 3, 3, 0, 3, 2, 1, 3, 0, 4, 1, 3, 4, 0, 2, 3, 0, 3, 0, 3, 0, 2, 2, 4, 0, 0, 1, 3, 0, 2, 4, 0, 3, 0, 4, 1, 1, 0, 0, 2, 4, 1, 1, 4, 0, 2, 3, 0, 1, 4, 0, 3, 0, 4, 3, 0, 3, 4, 1, 0, 3, 4, 3, 4, 1, 0, 4, 4, 4, 0, 1, 0, 4, 1, 0, 4, 4, 3, 4, 1, 4, 3, 4, 1, 1, 4, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 4, 4, 0, 1, 4, 3, 0, 2, 1, 2, 3, 0, 2, 0, 1, 1, 2, 1, 2, 2, 3, 1, 4, 1, 4, 3, 2, 2, 4, 4, 3, 0, 3, 0, 3, 2, 2, 1, 4, 4, 0, 2, 2, 4, 3, 4, 3, 0, 3, 2, 1, 2, 1, 0, 1, 2, 4, 3, 4, 4, 4, 0, 3, 0, 2, 1, 2, 2, 4, 1, 3, 1, 2, 2, 4, 3, 0, 0, 0, 0, 1, 4, 1, 1, 3, 4, 3, 2, 1, 3, 2, 4, 0, 1, 3, 0, 4, 4, 0, 0, 1, 0, 3, 4, 0, 0, 2, 3, 4, 0, 3, 1, 3, 1, 2, 0, 1, 1, 3, 2, 0, 4, 3, 3, 3, 4, 2, 1, 0, 3, 0, 2, 0, 3, 2, 1, 0, 2, 3, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 4, 4, 2, 1, 1, 4, 3, 4, 1, 2, 1, 3, 0, 0, 2, 3, 4, 4, 1, 2, 3, 0, 2, 3, 2, 2, 2, 0, 1, 0, 4, 1, 3, 0, 0, 3, 2, 0, 4, 3, 0, 2, 4, 4, 2, 0, 0, 0, 1, 2, 3, 0, 2, 1] pubkeycol454 = [3, 2, 3, 3, 0, 3, 1, 3, 3, 3, 3, 1, 2, 4, 3, 3, 0, 0, 1, 0, 3, 4, 1, 1, 1, 0, 2, 4, 1, 3, 4, 4, 2, 2, 2, 2, 1, 2, 4, 3, 2, 2, 1, 0, 2, 2, 2, 0, 4, 0, 1, 2, 0, 4, 1, 3, 2, 1, 2, 1, 2, 0, 1, 0, 3, 4, 0, 0, 1, 1, 3, 4, 3, 0, 2, 3, 0, 1, 4, 4, 4, 2, 2, 1, 3, 2, 1, 3, 0, 0, 2, 2, 2, 4, 3, 1, 3, 4, 4, 0, 4, 3, 3, 4, 2, 3, 0, 3, 0, 4, 4, 3, 1, 4, 1, 2, 0, 4, 4, 3, 3, 1, 0, 0, 4, 3, 0, 1, 0, 2, 3, 3, 1, 0, 2, 1, 4, 1, 4, 3, 2, 4, 0, 3, 4, 4, 1, 4, 2, 2, 4, 1, 2, 4, 2, 2, 0, 1, 0, 4, 1, 3, 0, 1, 0, 1, 3, 1, 1, 0, 0, 0, 1, 3, 0, 0, 2, 3, 4, 0, 4, 4, 1, 1, 3, 4, 3, 4, 2, 0, 0, 2, 1, 1, 0, 3, 3, 4, 2, 3, 0, 3, 4, 3, 3, 0, 4, 0, 1, 3, 3, 3, 4, 3, 0, 0, 1, 1, 1, 1, 2, 4, 1, 4, 3, 2, 4, 3, 3, 4, 3, 3, 2, 4, 4, 1, 2, 4, 2, 0, 3, 2, 1, 4, 3, 3, 3, 3, 4, 1, 0, 1, 3, 4, 2, 4, 0, 0, 2, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 4, 3, 1, 4, 4, 2, 4, 0, 1, 2, 2, 0, 3, 4, 2, 4, 2, 4, 2, 1, 2, 0, 3, 1, 4, 2, 1, 0, 0, 3, 4, 1, 4, 3, 1, 3, 3, 4, 2, 1, 1, 3, 4, 4, 3, 4, 1, 1, 4, 3, 3, 4, 0, 4, 0, 4, 3, 3, 1, 4, 4, 2, 4, 0, 1, 4, 2, 0, 3, 1, 4, 3, 3, 0, 1, 4, 2, 0, 4, 0, 2, 0, 1, 4, 0, 1, 0, 4, 0, 2, 3, 0, 3, 4, 1, 2, 2, 4, 4, 0, 1, 4, 0, 0, 3, 2, 3, 4, 3, 0, 0, 0, 3, 0, 4, 0, 0, 3, 0, 1, 3, 1, 3, 2, 0, 3, 3, 3, 2, 4, 3] pubkeycol455 = [4, 4, 1, 1, 4, 0, 1, 2, 3, 3, 4, 4, 1, 3, 4, 2, 0, 4, 2, 1, 3, 0, 4, 0, 3, 4, 2, 1, 1, 2, 2, 2, 4, 2, 0, 3, 3, 3, 4, 2, 0, 3, 4, 3, 3, 4, 0, 0, 3, 2, 1, 1, 3, 3, 2, 1, 2, 1, 0, 2, 4, 2, 2, 2, 1, 4, 0, 4, 0, 3, 2, 2, 2, 4, 0, 4, 4, 1, 2, 2, 2, 3, 2, 0, 3, 1, 3, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 4, 0, 0, 2, 2, 2, 0, 3, 0, 0, 1, 3, 1, 2, 4, 3, 0, 3, 1, 0, 1, 3, 4, 0, 0, 4, 0, 4, 4, 2, 1, 2, 4, 0, 2, 2, 2, 0, 1, 4, 4, 2, 3, 2, 2, 1, 2, 0, 4, 2, 4, 3, 2, 4, 1, 4, 0, 2, 2, 3, 1, 1, 1, 4, 1, 2, 2, 1, 2, 2, 4, 3, 4, 0, 1, 1, 3, 3, 3, 2, 3, 2, 0, 4, 3, 2, 4, 3, 2, 4, 0, 4, 0, 1, 2, 1, 0, 2, 2, 2, 2, 3, 0, 0, 2, 3, 2, 1, 1, 4, 3, 3, 2, 2, 4, 3, 4, 4, 2, 3, 2, 0, 0, 1, 2, 4, 2, 3, 4, 2, 3, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 4, 1, 1, 0, 2, 1, 1, 2, 3, 0, 2, 1, 2, 0, 3, 3, 0, 3, 2, 2, 3, 1, 0, 1, 1, 1, 2, 4, 2, 4, 0, 1, 3, 2, 0, 1, 3, 4, 1, 4, 4, 4, 3, 3, 1, 4, 3, 1, 3, 3, 3, 3, 2, 3, 1, 3, 0, 1, 0, 0, 4, 2, 0, 0, 3, 2, 1, 2, 1, 4, 3, 2, 2, 0, 4, 0, 4, 1, 3, 4, 4, 0, 3, 1, 3, 2, 2, 0, 2, 0, 3, 4, 3, 4, 4, 0, 3, 3, 3, 0, 1, 0, 3, 4, 4, 3, 4, 0, 2, 1, 0, 3, 4, 3, 1, 3, 0, 1, 2, 2, 0, 4, 2, 0, 4, 3, 4, 4, 0, 4, 0, 4, 0, 1, 4, 2, 4, 3, 3, 3, 4, 1, 4, 0, 4, 4, 4, 3, 4, 2, 4, 0, 2, 0, 3, 3, 3, 1, 0, 0, 0] pubkeycol456 = [1, 2, 3, 0, 0, 3, 0, 0, 0, 2, 3, 1, 0, 1, 1, 4, 3, 2, 2, 1, 2, 4, 3, 3, 0, 0, 1, 4, 2, 2, 3, 4, 4, 4, 0, 1, 4, 2, 0, 4, 3, 0, 4, 0, 1, 4, 3, 3, 3, 0, 1, 3, 0, 3, 4, 0, 2, 1, 3, 3, 2, 1, 0, 1, 4, 3, 4, 4, 0, 2, 2, 1, 1, 4, 3, 0, 3, 2, 2, 2, 3, 0, 1, 3, 0, 1, 0, 4, 4, 0, 2, 0, 1, 2, 2, 3, 1, 1, 3, 4, 3, 2, 0, 1, 1, 3, 2, 3, 4, 2, 4, 0, 1, 3, 2, 0, 0, 4, 3, 3, 1, 2, 0, 1, 2, 2, 1, 4, 4, 3, 4, 4, 0, 3, 3, 2, 4, 4, 4, 3, 2, 0, 3, 1, 4, 0, 4, 3, 2, 3, 3, 2, 1, 0, 4, 0, 2, 4, 3, 2, 1, 1, 2, 0, 3, 0, 4, 0, 3, 2, 1, 4, 1, 0, 4, 4, 3, 0, 0, 3, 0, 0, 4, 3, 3, 0, 4, 3, 0, 4, 3, 0, 4, 4, 2, 0, 2, 0, 2, 2, 3, 0, 3, 1, 4, 1, 4, 0, 2, 4, 1, 4, 1, 2, 4, 0, 2, 4, 1, 4, 1, 4, 2, 1, 4, 1, 4, 3, 4, 2, 1, 0, 1, 3, 1, 1, 0, 1, 2, 0, 1, 2, 3, 3, 2, 3, 0, 4, 4, 0, 3, 3, 2, 4, 0, 0, 0, 1, 0, 2, 2, 0, 1, 4, 2, 3, 4, 1, 2, 3, 1, 0, 3, 4, 1, 3, 0, 4, 1, 0, 2, 0, 3, 1, 1, 4, 0, 3, 2, 1, 2, 1, 4, 0, 0, 1, 0, 1, 3, 1, 4, 1, 0, 0, 4, 4, 2, 4, 3, 1, 0, 4, 2, 4, 0, 2, 2, 2, 3, 1, 2, 3, 3, 0, 2, 1, 2, 0, 3, 3, 0, 2, 2, 2, 4, 0, 1, 4, 1, 1, 2, 2, 2, 4, 1, 3, 4, 2, 1, 3, 0, 0, 3, 0, 1, 3, 2, 4, 2, 2, 4, 0, 3, 3, 3, 2, 4, 4, 1, 2, 0, 3, 0, 1, 3, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 4, 0, 4, 2, 0, 1, 2, 4, 0, 0, 4, 3, 4, 4, 0] pubkeycol457 = [3, 0, 4, 1, 1, 3, 2, 3, 2, 4, 3, 3, 0, 4, 3, 0, 0, 4, 0, 2, 3, 0, 3, 4, 1, 1, 3, 3, 4, 1, 2, 3, 4, 2, 4, 1, 4, 2, 4, 4, 2, 4, 1, 4, 3, 1, 1, 1, 1, 0, 3, 2, 3, 1, 3, 1, 0, 0, 4, 1, 2, 0, 4, 0, 0, 1, 4, 1, 1, 3, 2, 1, 0, 0, 1, 2, 4, 0, 4, 2, 4, 3, 2, 2, 1, 2, 0, 0, 2, 0, 1, 3, 3, 4, 2, 3, 0, 4, 4, 0, 4, 4, 1, 0, 1, 0, 2, 0, 0, 0, 1, 4, 0, 4, 2, 3, 3, 0, 2, 1, 0, 0, 3, 1, 1, 0, 2, 1, 4, 1, 1, 0, 2, 1, 4, 1, 1, 1, 3, 1, 2, 3, 0, 3, 0, 4, 4, 2, 0, 1, 4, 1, 4, 1, 1, 1, 4, 2, 3, 4, 0, 3, 2, 0, 4, 2, 4, 0, 3, 2, 2, 2, 1, 2, 4, 2, 2, 2, 3, 2, 0, 2, 4, 3, 2, 1, 4, 2, 0, 0, 3, 1, 3, 0, 0, 0, 4, 3, 2, 1, 3, 2, 3, 3, 3, 4, 0, 2, 3, 3, 0, 0, 1, 3, 2, 2, 0, 4, 0, 3, 2, 0, 4, 0, 2, 0, 1, 3, 4, 1, 3, 4, 2, 0, 3, 3, 4, 0, 4, 2, 2, 1, 2, 4, 3, 1, 4, 0, 3, 2, 0, 0, 1, 2, 2, 3, 2, 0, 0, 2, 2, 3, 1, 3, 1, 1, 0, 1, 1, 0, 2, 4, 4, 1, 0, 4, 0, 0, 1, 2, 4, 1, 1, 4, 3, 4, 4, 4, 1, 4, 1, 4, 0, 0, 0, 3, 3, 1, 1, 4, 4, 1, 2, 1, 2, 4, 1, 0, 3, 4, 2, 0, 1, 4, 0, 3, 0, 1, 0, 3, 4, 3, 2, 2, 4, 2, 2, 1, 0, 3, 4, 0, 4, 3, 0, 2, 0, 1, 2, 4, 2, 4, 0, 1, 4, 2, 0, 1, 1, 2, 3, 4, 1, 4, 0, 4, 3, 4, 2, 3, 2, 0, 2, 2, 3, 4, 2, 4, 3, 3, 0, 4, 2, 1, 3, 0, 4, 4, 1, 1, 3, 0, 4, 3, 0, 3, 1, 1, 2, 2, 3, 3, 2, 0, 2, 4, 3, 2, 3, 3] pubkeycol458 = [3, 3, 4, 3, 3, 3, 4, 2, 4, 4, 0, 3, 2, 3, 3, 1, 3, 1, 4, 4, 2, 0, 2, 4, 0, 3, 3, 1, 4, 1, 2, 0, 0, 0, 1, 4, 3, 2, 3, 3, 4, 0, 4, 2, 3, 4, 4, 4, 3, 3, 4, 2, 4, 1, 3, 2, 3, 4, 0, 1, 2, 0, 4, 3, 2, 4, 0, 3, 0, 3, 3, 2, 0, 0, 3, 4, 3, 0, 0, 2, 3, 0, 3, 4, 3, 4, 3, 3, 2, 2, 3, 0, 3, 4, 3, 2, 1, 2, 4, 3, 0, 2, 0, 2, 1, 0, 3, 2, 4, 0, 4, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 4, 2, 3, 2, 4, 4, 0, 1, 1, 2, 0, 4, 4, 1, 2, 3, 0, 3, 1, 1, 2, 0, 0, 3, 4, 0, 4, 2, 1, 4, 4, 4, 1, 1, 4, 0, 4, 2, 0, 0, 4, 2, 1, 4, 1, 1, 2, 3, 3, 1, 1, 3, 0, 3, 1, 2, 0, 1, 3, 4, 1, 3, 2, 4, 0, 3, 4, 2, 4, 2, 4, 0, 0, 1, 0, 0, 0, 3, 3, 2, 4, 1, 2, 3, 0, 1, 3, 4, 4, 2, 0, 3, 0, 1, 4, 2, 1, 4, 1, 0, 2, 4, 4, 4, 1, 2, 3, 4, 4, 3, 4, 2, 1, 3, 4, 3, 3, 2, 1, 4, 0, 3, 2, 3, 1, 2, 2, 3, 2, 3, 4, 4, 2, 1, 3, 0, 2, 3, 1, 4, 3, 2, 4, 4, 3, 1, 2, 4, 0, 4, 3, 0, 1, 0, 0, 3, 3, 0, 3, 3, 2, 4, 0, 1, 3, 4, 3, 2, 4, 0, 1, 0, 0, 1, 2, 4, 0, 1, 4, 4, 2, 0, 4, 2, 0, 0, 1, 2, 0, 4, 0, 3, 3, 3, 0, 2, 1, 1, 0, 3, 1, 0, 4, 0, 4, 4, 3, 3, 1, 1, 4, 2, 4, 0, 3, 4, 4, 0, 3, 0, 3, 2, 4, 0, 2, 0, 3, 2, 3, 1, 3, 3, 1, 3, 3, 2, 1, 1, 2, 1, 2, 3, 1, 3, 4, 0, 2, 1, 0, 3, 4, 1, 3, 4, 4, 1, 4, 3, 4, 3, 3, 1, 0, 2, 3, 3, 4, 3, 4, 0, 1, 4, 4, 0, 2] pubkeycol459 = [4, 0, 4, 2, 4, 2, 3, 0, 4, 1, 4, 1, 3, 2, 4, 3, 4, 1, 0, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 0, 0, 1, 1, 2, 3, 4, 0, 3, 3, 3, 4, 1, 1, 0, 2, 0, 4, 3, 0, 1, 0, 4, 0, 4, 4, 2, 1, 2, 4, 2, 1, 2, 0, 1, 2, 0, 2, 4, 0, 1, 4, 3, 1, 2, 4, 4, 2, 0, 4, 0, 4, 2, 2, 4, 1, 3, 0, 3, 4, 3, 3, 3, 1, 0, 1, 3, 4, 1, 3, 3, 0, 3, 1, 1, 1, 0, 4, 4, 0, 1, 3, 4, 1, 4, 2, 4, 3, 3, 3, 1, 1, 4, 3, 4, 2, 4, 4, 3, 3, 3, 3, 1, 0, 0, 1, 4, 3, 0, 2, 4, 3, 1, 1, 4, 1, 0, 1, 1, 0, 0, 0, 4, 1, 4, 0, 3, 2, 1, 4, 0, 2, 0, 2, 0, 4, 0, 2, 1, 3, 0, 3, 3, 4, 0, 1, 0, 1, 3, 2, 0, 1, 2, 0, 1, 4, 1, 0, 4, 2, 1, 3, 3, 0, 3, 4, 1, 3, 0, 0, 2, 4, 0, 1, 1, 3, 1, 2, 4, 2, 1, 1, 3, 2, 3, 3, 0, 0, 2, 0, 2, 1, 4, 3, 2, 3, 0, 2, 3, 0, 3, 4, 2, 4, 1, 2, 4, 3, 2, 1, 2, 0, 1, 1, 2, 4, 2, 1, 2, 3, 0, 3, 4, 0, 4, 1, 2, 1, 4, 4, 4, 3, 0, 0, 0, 4, 3, 1, 3, 1, 1, 3, 3, 2, 3, 0, 3, 2, 3, 4, 1, 3, 1, 1, 0, 4, 0, 3, 1, 2, 3, 3, 0, 1, 1, 2, 4, 2, 1, 1, 1, 2, 4, 4, 3, 1, 3, 1, 0, 0, 2, 3, 4, 2, 1, 2, 1, 1, 3, 4, 3, 0, 2, 4, 0, 3, 0, 3, 1, 1, 3, 0, 3, 4, 1, 1, 0, 4, 3, 0, 0, 4, 4, 3, 2, 2, 0, 3, 3, 2, 1, 4, 3, 3, 3, 4, 0, 2, 2, 4, 2, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 4, 4, 1, 0, 1, 0, 2, 1, 0, 1, 1, 4, 1, 2, 2, 1, 3, 3, 1, 4, 0, 3, 1, 3, 0, 2, 1, 1, 3, 2] pubkeycol460 = [2, 4, 0, 4, 0, 0, 3, 3, 1, 4, 2, 2, 1, 4, 1, 1, 1, 4, 2, 3, 1, 0, 1, 3, 0, 4, 1, 4, 3, 0, 4, 1, 1, 1, 1, 2, 4, 1, 1, 2, 0, 2, 4, 3, 2, 2, 0, 0, 4, 1, 2, 2, 1, 3, 1, 3, 2, 3, 0, 4, 3, 0, 2, 2, 4, 4, 0, 4, 3, 1, 4, 3, 2, 1, 2, 1, 2, 4, 1, 2, 2, 4, 3, 4, 1, 0, 1, 2, 4, 0, 2, 1, 2, 0, 0, 3, 1, 1, 0, 1, 2, 0, 4, 3, 4, 1, 1, 4, 2, 2, 1, 4, 2, 3, 2, 1, 1, 0, 4, 0, 4, 2, 4, 2, 2, 4, 3, 3, 0, 4, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 0, 1, 0, 1, 1, 1, 1, 2, 2, 4, 2, 4, 1, 0, 2, 2, 1, 0, 3, 2, 3, 1, 0, 0, 4, 0, 1, 1, 3, 2, 4, 1, 1, 3, 4, 2, 0, 4, 4, 2, 2, 4, 2, 0, 2, 4, 4, 3, 3, 3, 1, 0, 0, 1, 0, 4, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 4, 2, 2, 3, 4, 2, 2, 0, 1, 2, 4, 2, 3, 0, 2, 1, 4, 3, 4, 3, 1, 3, 4, 0, 4, 0, 0, 1, 3, 4, 1, 0, 4, 0, 4, 2, 2, 0, 3, 4, 0, 3, 0, 3, 4, 3, 4, 0, 4, 3, 4, 3, 1, 2, 0, 0, 4, 4, 3, 3, 0, 2, 3, 1, 0, 4, 2, 1, 4, 4, 1, 4, 1, 4, 2, 0, 1, 2, 3, 3, 1, 3, 4, 2, 2, 4, 0, 1, 1, 1, 2, 3, 0, 0, 2, 4, 4, 0, 1, 3, 2, 3, 4, 4, 0, 4, 1, 4, 4, 0, 3, 4, 2, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 2, 4, 2, 2, 2, 4, 4, 1, 3, 2, 3, 3, 4, 2, 1, 2, 4, 3, 0, 1, 1, 4, 4, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 2, 0, 0, 2, 2, 4, 1, 2, 2, 4, 4, 4, 4, 3, 2, 0, 1, 1, 1, 3, 1, 3, 2, 3] pubkeycol461 = [1, 0, 3, 2, 0, 3, 2, 3, 3, 2, 4, 1, 3, 3, 4, 3, 0, 2, 4, 0, 4, 4, 4, 3, 3, 0, 4, 4, 2, 2, 4, 3, 0, 0, 1, 2, 0, 0, 3, 4, 0, 1, 4, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 4, 1, 3, 0, 2, 0, 3, 4, 1, 2, 1, 4, 0, 3, 4, 4, 0, 3, 1, 3, 0, 2, 3, 3, 0, 0, 2, 1, 4, 1, 4, 0, 0, 3, 4, 3, 4, 1, 4, 0, 4, 0, 2, 1, 4, 3, 0, 1, 2, 1, 2, 3, 2, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 0, 1, 1, 1, 4, 1, 2, 4, 4, 3, 4, 3, 4, 2, 0, 2, 1, 4, 0, 4, 4, 3, 1, 2, 0, 0, 4, 3, 3, 2, 0, 4, 4, 2, 2, 4, 2, 2, 0, 0, 1, 0, 4, 0, 4, 0, 4, 2, 4, 1, 1, 3, 0, 3, 2, 3, 0, 1, 4, 3, 2, 2, 2, 4, 0, 1, 0, 4, 3, 2, 1, 0, 1, 1, 3, 3, 1, 1, 1, 4, 4, 3, 3, 3, 4, 4, 3, 2, 4, 2, 4, 3, 2, 3, 1, 3, 3, 3, 0, 4, 0, 2, 1, 3, 0, 4, 2, 0, 1, 4, 4, 3, 1, 0, 2, 1, 1, 1, 1, 2, 3, 2, 3, 3, 0, 3, 1, 0, 2, 1, 3, 2, 0, 4, 3, 0, 2, 4, 2, 1, 2, 4, 4, 0, 0, 4, 1, 3, 4, 3, 2, 3, 0, 4, 0, 3, 2, 4, 1, 1, 0, 3, 4, 1, 2, 3, 3, 3, 1, 4, 0, 3, 0, 4, 3, 0, 0, 3, 4, 1, 3, 2, 4, 3, 4, 2, 2, 4, 2, 3, 1, 0, 2, 0, 4, 1, 3, 3, 4, 1, 2, 4, 2, 1, 0, 3, 1, 2, 2, 3, 2, 2, 1, 4, 1, 0, 2, 2, 3, 2, 1, 0, 4, 2, 1, 0, 2, 1, 4, 3, 4, 0, 4, 2, 0, 1, 2, 0, 4, 1, 1, 3, 4, 3, 0, 2, 4, 4, 1, 4, 2, 4, 2, 2, 3, 1, 2, 3, 1, 1, 0, 3, 1, 3, 4, 0, 2, 2, 4, 0, 3, 2, 2, 4, 3, 2, 1, 3, 0, 2, 2, 2, 0] pubkeycol462 = [0, 0, 2, 0, 0, 3, 3, 3, 3, 0, 4, 2, 4, 4, 1, 3, 4, 2, 3, 3, 4, 0, 0, 4, 1, 0, 3, 0, 2, 3, 0, 1, 1, 0, 0, 4, 4, 1, 3, 3, 0, 3, 0, 1, 1, 3, 0, 0, 2, 4, 4, 4, 0, 3, 4, 2, 1, 4, 1, 4, 1, 2, 1, 0, 0, 1, 3, 3, 1, 1, 1, 0, 4, 3, 4, 0, 2, 4, 4, 1, 0, 0, 1, 3, 4, 2, 1, 3, 4, 4, 0, 1, 3, 2, 3, 0, 1, 2, 2, 3, 0, 2, 4, 4, 0, 1, 2, 1, 2, 3, 3, 4, 4, 2, 2, 0, 1, 4, 4, 1, 4, 4, 0, 3, 3, 0, 0, 2, 2, 4, 1, 2, 3, 2, 3, 0, 0, 1, 2, 2, 2, 0, 2, 3, 0, 0, 3, 1, 3, 3, 0, 4, 0, 3, 1, 3, 3, 2, 3, 2, 3, 0, 4, 2, 2, 1, 1, 2, 3, 0, 2, 2, 0, 0, 1, 4, 4, 4, 1, 1, 1, 4, 3, 2, 0, 1, 0, 3, 1, 1, 3, 1, 4, 2, 2, 1, 0, 0, 0, 3, 0, 4, 1, 2, 4, 3, 3, 1, 4, 4, 1, 1, 3, 3, 4, 3, 2, 4, 1, 2, 2, 1, 2, 0, 4, 1, 4, 4, 3, 4, 4, 4, 2, 2, 2, 2, 4, 2, 0, 3, 0, 2, 3, 0, 0, 3, 0, 1, 4, 0, 3, 2, 3, 4, 3, 3, 4, 3, 1, 3, 2, 3, 4, 1, 3, 2, 3, 1, 4, 2, 3, 4, 2, 3, 3, 4, 1, 0, 1, 4, 2, 1, 3, 3, 3, 4, 2, 0, 2, 2, 1, 1, 1, 3, 3, 3, 0, 4, 2, 3, 3, 3, 2, 0, 0, 0, 1, 3, 4, 0, 1, 1, 3, 0, 3, 0, 3, 1, 3, 3, 3, 2, 2, 0, 4, 4, 1, 3, 3, 1, 1, 3, 1, 2, 1, 4, 3, 2, 4, 2, 4, 4, 1, 2, 4, 4, 4, 3, 1, 3, 3, 3, 2, 3, 1, 1, 2, 4, 3, 4, 0, 1, 0, 0, 1, 3, 4, 1, 3, 0, 4, 0, 3, 0, 0, 4, 1, 1, 4, 1, 0, 4, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 2, 3, 4] pubkeycol463 = [2, 4, 0, 3, 1, 0, 2, 1, 2, 1, 3, 3, 4, 2, 1, 2, 4, 3, 4, 1, 2, 3, 1, 4, 1, 1, 3, 4, 1, 3, 4, 2, 2, 0, 4, 0, 1, 1, 3, 4, 1, 0, 1, 3, 4, 1, 4, 0, 4, 1, 4, 3, 1, 4, 3, 0, 1, 4, 1, 0, 1, 4, 3, 1, 0, 0, 3, 3, 3, 3, 2, 0, 2, 0, 3, 2, 4, 4, 0, 4, 4, 4, 0, 2, 1, 4, 4, 1, 2, 4, 1, 3, 3, 1, 0, 3, 3, 4, 1, 2, 3, 0, 2, 0, 1, 4, 3, 3, 0, 0, 4, 2, 1, 4, 3, 1, 0, 2, 4, 0, 1, 4, 4, 2, 0, 1, 1, 1, 3, 0, 3, 3, 4, 1, 3, 2, 0, 1, 0, 4, 4, 3, 0, 1, 3, 2, 1, 3, 4, 4, 3, 0, 0, 1, 1, 0, 3, 2, 1, 1, 0, 1, 3, 4, 4, 3, 1, 0, 2, 1, 1, 1, 4, 2, 2, 4, 1, 0, 4, 3, 3, 4, 3, 1, 1, 0, 3, 3, 0, 3, 3, 4, 1, 2, 3, 3, 1, 1, 3, 3, 1, 2, 3, 1, 0, 1, 2, 0, 0, 4, 4, 1, 4, 4, 2, 4, 1, 1, 3, 0, 2, 4, 1, 4, 3, 3, 2, 4, 1, 2, 1, 4, 1, 0, 2, 4, 3, 2, 1, 4, 3, 0, 4, 4, 3, 3, 1, 3, 1, 4, 4, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 4, 4, 3, 0, 3, 1, 2, 1, 3, 4, 0, 2, 4, 2, 0, 2, 0, 3, 4, 4, 2, 0, 2, 3, 2, 1, 2, 0, 2, 2, 4, 2, 4, 2, 4, 2, 3, 1, 4, 0, 0, 3, 0, 1, 4, 1, 3, 4, 0, 3, 1, 3, 0, 2, 0, 3, 4, 0, 3, 2, 1, 2, 1, 0, 4, 4, 2, 4, 4, 2, 3, 0, 0, 4, 3, 1, 0, 0, 4, 0, 0, 1, 1, 0, 4, 2, 2, 0, 0, 4, 0, 0, 0, 4, 4, 4, 3, 0, 3, 4, 4, 0, 3, 4, 0, 1, 3, 4, 3, 3, 2, 0, 1, 4, 1, 1, 4, 3, 3, 3, 2, 0, 3, 1, 2, 3, 4, 4, 3, 2, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol464 = [0, 3, 4, 2, 4, 0, 4, 0, 1, 1, 1, 0, 1, 3, 0, 3, 2, 4, 3, 4, 1, 4, 3, 4, 4, 2, 4, 4, 0, 0, 2, 4, 3, 3, 0, 4, 1, 3, 4, 0, 0, 1, 4, 4, 1, 1, 3, 1, 2, 0, 0, 1, 3, 2, 4, 0, 0, 0, 2, 2, 4, 3, 2, 3, 1, 4, 4, 2, 2, 0, 1, 0, 0, 2, 4, 4, 4, 2, 2, 2, 3, 0, 4, 0, 3, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 4, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 4, 2, 0, 1, 4, 4, 4, 4, 2, 0, 3, 1, 1, 2, 3, 2, 2, 2, 4, 4, 1, 1, 1, 3, 4, 0, 3, 4, 1, 2, 0, 0, 4, 2, 1, 2, 4, 1, 2, 4, 3, 1, 0, 2, 4, 3, 2, 3, 2, 3, 0, 1, 2, 3, 3, 3, 4, 3, 2, 3, 3, 2, 0, 1, 2, 4, 3, 1, 3, 4, 2, 3, 1, 3, 3, 4, 2, 3, 3, 0, 1, 2, 2, 4, 1, 0, 3, 0, 2, 1, 1, 0, 0, 4, 2, 0, 1, 2, 2, 2, 1, 4, 3, 0, 3, 1, 0, 3, 1, 4, 3, 1, 0, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 4, 1, 4, 1, 4, 3, 0, 1, 2, 2, 3, 1, 3, 1, 4, 4, 4, 3, 4, 2, 2, 0, 3, 2, 0, 0, 4, 3, 0, 0, 0, 4, 2, 1, 0, 0, 4, 3, 0, 2, 0, 0, 1, 3, 1, 3, 2, 0, 3, 4, 1, 1, 2, 4, 0, 0, 4, 3, 0, 4, 3, 3, 4, 4, 2, 0, 3, 4, 3, 1, 3, 0, 0, 3, 3, 1, 1, 4, 4, 1, 4, 2, 1, 4, 2, 2, 3, 1, 3, 4, 0, 4, 2, 0, 4, 3, 4, 0, 2, 0, 1, 3, 4, 1, 2, 2, 0, 2, 0, 3, 0, 3, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 4, 1, 2, 4, 3, 4, 3, 2, 3, 1, 0, 2, 2, 3, 4, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1, 0, 3, 4, 1, 3, 3, 0, 4, 3, 4, 0, 0, 2, 1, 4, 1, 2, 0, 2, 4, 3] pubkeycol465 = [0, 0, 3, 3, 4, 0, 1, 3, 4, 0, 2, 1, 1, 0, 3, 1, 0, 4, 1, 2, 1, 1, 3, 3, 4, 0, 4, 1, 0, 4, 4, 4, 4, 3, 0, 3, 3, 3, 4, 3, 0, 4, 1, 3, 3, 3, 0, 3, 1, 3, 3, 0, 4, 4, 1, 3, 4, 1, 0, 4, 4, 1, 0, 4, 0, 1, 4, 2, 4, 1, 4, 3, 3, 1, 3, 0, 2, 4, 2, 3, 1, 2, 4, 0, 1, 0, 2, 3, 0, 1, 2, 0, 3, 2, 2, 1, 0, 2, 3, 2, 2, 4, 4, 3, 0, 0, 0, 2, 1, 2, 3, 1, 0, 2, 4, 4, 2, 2, 1, 4, 4, 1, 2, 0, 1, 3, 3, 0, 2, 2, 4, 3, 0, 4, 1, 4, 4, 3, 3, 3, 3, 3, 4, 0, 3, 3, 1, 2, 0, 2, 0, 3, 2, 1, 3, 3, 3, 2, 3, 0, 1, 3, 0, 4, 2, 3, 0, 1, 2, 0, 1, 3, 4, 4, 4, 2, 0, 3, 3, 1, 1, 2, 2, 2, 1, 4, 1, 0, 4, 2, 4, 0, 3, 0, 4, 1, 0, 4, 0, 1, 0, 3, 4, 4, 1, 0, 1, 1, 4, 3, 1, 4, 4, 2, 4, 4, 0, 2, 4, 2, 3, 3, 0, 1, 3, 2, 0, 0, 0, 4, 0, 4, 0, 2, 1, 4, 2, 0, 1, 1, 2, 4, 0, 3, 3, 3, 2, 1, 0, 4, 4, 2, 4, 0, 2, 3, 4, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 4, 4, 1, 4, 4, 0, 1, 2, 3, 4, 2, 1, 4, 4, 3, 1, 2, 1, 0, 1, 3, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 3, 4, 1, 1, 3, 0, 4, 4, 1, 1, 4, 2, 2, 2, 2, 4, 3, 3, 0, 4, 1, 0, 4, 2, 1, 3, 3, 1, 2, 0, 2, 0, 3, 0, 1, 2, 3, 1, 1, 3, 0, 4, 1, 1, 3, 3, 1, 3, 4, 4, 0, 2, 4, 2, 3, 2, 1, 3, 0, 0, 4, 2, 1, 0, 3, 3, 2, 2, 2, 1, 3, 4, 1, 1, 2, 0, 0, 3, 3, 0, 3, 0, 1, 2, 1, 0, 4, 1, 2, 4, 0, 2, 0, 0, 4, 4, 0] pubkeycol466 = [0, 2, 0, 4, 4, 3, 4, 0, 3, 3, 1, 4, 4, 0, 4, 3, 3, 4, 0, 2, 4, 1, 2, 3, 3, 4, 0, 4, 0, 3, 1, 1, 3, 0, 4, 0, 3, 1, 0, 1, 1, 0, 3, 3, 3, 0, 2, 0, 0, 4, 0, 4, 1, 2, 4, 4, 4, 2, 1, 3, 0, 0, 3, 3, 3, 2, 1, 3, 3, 4, 1, 4, 3, 4, 4, 0, 2, 4, 1, 1, 1, 3, 1, 0, 4, 2, 4, 1, 3, 1, 4, 1, 3, 4, 0, 3, 1, 3, 0, 1, 3, 1, 2, 0, 2, 4, 3, 3, 3, 4, 0, 2, 2, 1, 2, 2, 1, 3, 3, 4, 1, 3, 4, 1, 1, 0, 3, 2, 2, 4, 2, 4, 4, 0, 0, 4, 0, 2, 0, 0, 0, 3, 0, 3, 1, 3, 1, 1, 3, 3, 2, 3, 3, 4, 0, 1, 4, 2, 4, 2, 4, 0, 1, 4, 1, 1, 1, 1, 1, 3, 1, 0, 0, 1, 4, 0, 2, 1, 1, 4, 2, 4, 3, 4, 1, 3, 0, 4, 1, 4, 0, 4, 3, 1, 1, 4, 2, 0, 1, 0, 0, 4, 4, 4, 1, 1, 1, 3, 1, 1, 1, 2, 0, 0, 1, 2, 3, 2, 4, 0, 4, 2, 2, 0, 2, 2, 1, 4, 4, 4, 0, 1, 3, 4, 4, 1, 4, 1, 0, 3, 3, 4, 3, 3, 1, 0, 2, 0, 1, 0, 0, 0, 4, 3, 2, 3, 4, 2, 1, 1, 3, 4, 1, 0, 1, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 4, 0, 3, 2, 1, 0, 4, 3, 2, 0, 0, 0, 1, 0, 4, 2, 3, 3, 1, 2, 1, 0, 1, 4, 1, 4, 1, 1, 3, 4, 0, 3, 1, 2, 4, 0, 3, 3, 2, 3, 0, 4, 4, 2, 0, 4, 2, 0, 2, 2, 4, 4, 3, 2, 4, 2, 3, 0, 1, 2, 1, 2, 0, 4, 4, 1, 4, 3, 4, 0, 0, 4, 3, 3, 0, 1, 0, 3, 0, 3, 0, 3, 1, 3, 3, 3, 2, 2, 3, 2, 3, 1, 3, 1, 1, 4, 1, 2, 1, 2, 4, 3, 2, 2, 0, 4, 4, 0, 2, 4, 4, 0, 3, 0, 3, 0, 4, 1, 4, 2] pubkeycol467 = [4, 1, 0, 2, 1, 1, 1, 1, 0, 3, 1, 1, 2, 4, 2, 2, 1, 2, 2, 0, 4, 4, 4, 3, 4, 1, 1, 4, 2, 4, 3, 4, 3, 0, 3, 0, 0, 0, 2, 2, 2, 2, 4, 1, 0, 0, 1, 2, 2, 4, 1, 1, 4, 1, 2, 1, 1, 3, 4, 4, 0, 3, 3, 1, 4, 4, 1, 4, 2, 2, 1, 3, 4, 3, 0, 0, 1, 3, 2, 2, 3, 2, 2, 3, 4, 1, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 3, 2, 1, 4, 4, 1, 2, 0, 1, 4, 3, 0, 3, 1, 4, 3, 1, 2, 1, 0, 4, 1, 1, 0, 2, 3, 2, 4, 4, 0, 0, 2, 3, 1, 3, 0, 1, 4, 1, 1, 3, 4, 1, 0, 4, 2, 1, 0, 4, 3, 4, 3, 2, 3, 1, 1, 1, 1, 0, 0, 3, 4, 4, 0, 4, 2, 2, 3, 1, 0, 1, 3, 4, 4, 2, 4, 1, 4, 0, 0, 1, 2, 3, 0, 1, 3, 2, 2, 4, 3, 0, 0, 4, 3, 0, 2, 2, 0, 0, 1, 2, 4, 4, 1, 0, 3, 0, 4, 0, 2, 2, 1, 3, 4, 2, 2, 2, 3, 1, 1, 4, 4, 0, 4, 4, 0, 4, 3, 0, 2, 3, 1, 3, 4, 4, 2, 1, 1, 1, 3, 2, 3, 2, 4, 0, 0, 0, 1, 4, 2, 2, 3, 2, 4, 4, 0, 3, 0, 4, 2, 3, 2, 4, 2, 1, 2, 2, 4, 0, 0, 3, 3, 2, 2, 2, 1, 3, 2, 1, 1, 2, 2, 0, 3, 4, 1, 3, 2, 3, 2, 3, 3, 0, 2, 2, 2, 1, 4, 3, 2, 1, 3, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 4, 4, 1, 2, 3, 4, 3, 1, 0, 1, 2, 0, 4, 1, 3, 4, 2, 1, 4, 0, 3, 1, 2, 0, 2, 0, 3, 0, 2, 1, 3, 1, 1, 4, 4, 3, 2, 0, 2, 4, 0, 1, 2, 0, 3, 0, 2, 2, 3, 3, 0, 4, 2, 4, 1, 1, 3, 3, 2, 3, 0, 1, 4, 4, 2, 4, 3, 3, 0, 1, 3, 4, 1, 3, 2, 3, 3, 4, 1, 2, 0, 0, 0, 3, 4, 0, 1, 0, 0, 2] pubkeycol468 = [0, 4, 2, 3, 1, 2, 3, 1, 4, 4, 0, 3, 4, 3, 4, 2, 0, 1, 0, 4, 3, 0, 4, 4, 0, 2, 4, 0, 1, 1, 2, 3, 3, 3, 1, 4, 0, 2, 4, 2, 1, 1, 4, 2, 4, 0, 2, 1, 3, 3, 1, 1, 2, 0, 4, 1, 2, 4, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 1, 3, 2, 2, 3, 3, 4, 1, 1, 4, 1, 4, 0, 4, 2, 1, 0, 4, 0, 2, 0, 3, 3, 1, 2, 0, 4, 2, 1, 1, 4, 3, 2, 3, 1, 0, 3, 4, 3, 1, 2, 4, 4, 3, 2, 3, 1, 1, 1, 3, 0, 1, 4, 0, 4, 3, 2, 2, 1, 2, 0, 2, 0, 4, 0, 3, 4, 2, 1, 1, 0, 2, 3, 2, 0, 0, 3, 0, 0, 1, 1, 2, 1, 1, 4, 4, 4, 1, 0, 1, 3, 4, 2, 3, 2, 3, 2, 1, 0, 4, 3, 3, 2, 3, 2, 4, 3, 2, 1, 4, 2, 4, 3, 3, 3, 2, 4, 1, 4, 0, 1, 1, 3, 0, 4, 3, 4, 2, 1, 4, 2, 1, 4, 0, 1, 4, 3, 2, 4, 1, 1, 3, 4, 3, 0, 0, 3, 4, 4, 4, 3, 3, 1, 1, 0, 4, 1, 0, 0, 2, 0, 0, 4, 4, 1, 3, 3, 0, 2, 4, 3, 4, 4, 2, 2, 0, 2, 4, 1, 4, 0, 1, 3, 2, 2, 2, 3, 2, 1, 2, 0, 0, 0, 2, 4, 0, 0, 1, 3, 1, 3, 0, 4, 4, 2, 2, 2, 3, 4, 1, 4, 1, 0, 2, 3, 2, 2, 1, 0, 4, 3, 1, 0, 2, 0, 2, 3, 1, 0, 3, 3, 3, 3, 1, 0, 0, 2, 0, 3, 0, 1, 0, 2, 3, 0, 1, 2, 4, 4, 0, 0, 4, 1, 0, 1, 1, 3, 4, 0, 4, 3, 1, 1, 2, 1, 3, 0, 3, 0, 1, 3, 0, 3, 4, 0, 3, 1, 4, 1, 1, 1, 4, 1, 3, 4, 1, 4, 0, 0, 4, 4, 4, 2, 0, 0, 3, 1, 3, 3, 4, 1, 0, 1, 1, 4, 1, 4, 4, 4, 2, 4, 1, 4, 2, 4, 3, 3, 4, 2, 2, 4, 0, 1, 3, 0, 2, 1, 3, 0, 2, 4, 1] pubkeycol469 = [3, 3, 3, 4, 2, 3, 0, 0, 2, 3, 0, 1, 0, 3, 2, 2, 4, 1, 4, 1, 4, 0, 0, 0, 3, 0, 4, 4, 1, 3, 0, 2, 2, 3, 0, 3, 2, 4, 2, 2, 3, 4, 2, 4, 3, 4, 0, 1, 4, 2, 4, 2, 0, 1, 0, 4, 2, 1, 3, 4, 3, 0, 4, 1, 4, 0, 3, 2, 1, 1, 2, 4, 1, 2, 3, 3, 4, 0, 2, 2, 3, 1, 0, 2, 4, 4, 3, 2, 0, 4, 1, 0, 4, 3, 3, 3, 4, 0, 1, 4, 3, 1, 3, 4, 0, 0, 1, 1, 3, 2, 4, 4, 4, 2, 3, 1, 0, 4, 2, 4, 1, 0, 3, 3, 1, 4, 2, 1, 0, 0, 0, 0, 2, 3, 3, 1, 2, 0, 4, 3, 0, 1, 3, 4, 0, 2, 0, 3, 3, 1, 1, 3, 2, 2, 3, 3, 0, 0, 3, 2, 4, 1, 0, 0, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 4, 2, 0, 2, 1, 1, 0, 2, 3, 1, 0, 2, 2, 0, 3, 2, 0, 3, 4, 4, 3, 3, 4, 3, 3, 1, 4, 1, 0, 1, 3, 0, 3, 0, 4, 1, 4, 3, 4, 4, 1, 4, 0, 1, 2, 2, 4, 0, 3, 2, 0, 1, 1, 4, 4, 2, 4, 2, 4, 1, 0, 3, 3, 0, 3, 0, 3, 0, 1, 1, 0, 0, 4, 1, 3, 4, 4, 3, 0, 4, 3, 0, 0, 3, 3, 1, 3, 4, 1, 3, 1, 2, 0, 4, 3, 4, 1, 1, 3, 1, 4, 4, 1, 3, 3, 2, 4, 3, 1, 1, 3, 4, 3, 1, 2, 4, 1, 2, 1, 3, 2, 1, 2, 4, 2, 1, 0, 2, 0, 4, 4, 3, 3, 1, 3, 0, 1, 1, 2, 3, 0, 4, 0, 0, 0, 2, 3, 0, 1, 0, 0, 4, 1, 1, 4, 0, 2, 2, 3, 4, 3, 2, 1, 3, 0, 1, 3, 1, 1, 3, 4, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 3, 2, 2, 3, 2, 0, 0, 1, 3, 1, 4, 4, 4, 0, 3, 1, 1, 1, 0, 4, 1, 1, 3, 4, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 3, 3, 1, 1, 3, 4, 1] pubkeycol470 = [3, 3, 3, 2, 2, 1, 0, 0, 2, 1, 1, 1, 4, 0, 1, 0, 4, 1, 0, 3, 0, 1, 3, 3, 0, 1, 1, 4, 2, 1, 0, 1, 0, 2, 1, 1, 4, 1, 0, 0, 1, 2, 4, 2, 4, 0, 2, 0, 3, 2, 3, 0, 1, 1, 0, 4, 3, 2, 2, 3, 1, 3, 2, 2, 4, 4, 1, 1, 3, 0, 4, 0, 4, 0, 0, 4, 2, 1, 3, 4, 1, 4, 3, 3, 2, 3, 1, 4, 1, 3, 3, 2, 2, 4, 0, 2, 1, 4, 3, 2, 1, 0, 4, 2, 3, 2, 0, 0, 2, 1, 1, 0, 2, 3, 4, 3, 4, 2, 3, 3, 1, 3, 0, 1, 1, 1, 2, 4, 0, 2, 0, 4, 3, 3, 0, 3, 2, 4, 1, 3, 2, 1, 2, 0, 0, 3, 1, 4, 3, 0, 1, 2, 1, 3, 1, 3, 2, 2, 0, 4, 3, 3, 3, 4, 2, 2, 1, 4, 3, 1, 3, 0, 3, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 4, 0, 1, 2, 1, 4, 4, 0, 1, 1, 0, 0, 0, 4, 4, 2, 3, 4, 1, 2, 1, 0, 0, 1, 4, 3, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 4, 2, 4, 1, 0, 4, 0, 4, 3, 2, 4, 3, 2, 4, 3, 2, 0, 3, 3, 2, 3, 0, 4, 0, 3, 4, 1, 2, 1, 4, 1, 1, 2, 3, 0, 1, 0, 1, 1, 3, 0, 2, 4, 3, 1, 3, 2, 1, 4, 3, 1, 2, 2, 3, 3, 4, 0, 2, 2, 1, 3, 0, 0, 3, 0, 3, 0, 1, 1, 2, 1, 4, 0, 4, 3, 2, 3, 3, 2, 4, 3, 0, 3, 4, 1, 4, 2, 2, 3, 4, 3, 2, 0, 0, 4, 1, 1, 3, 1, 1, 0, 4, 3, 0, 0, 4, 0, 2, 1, 1, 2, 3, 0, 4, 4, 0, 4, 2, 1, 4, 4, 3, 3, 1, 2, 2, 3, 0, 0, 4, 3, 0, 3, 4, 2, 2, 1, 0, 3, 4, 1, 4, 4, 4, 4, 0, 4, 0, 2, 0, 1, 3, 1, 2, 2, 4, 0, 0, 1, 1, 2, 4, 3, 4, 0, 2, 0, 3, 3, 1, 2, 4, 4, 1, 3, 2, 2, 4, 0] pubkeycol471 = [4, 1, 3, 0, 4, 4, 2, 1, 0, 1, 1, 3, 2, 0, 0, 0, 3, 0, 2, 1, 0, 2, 2, 3, 0, 1, 3, 2, 4, 1, 1, 3, 2, 1, 0, 3, 3, 4, 0, 0, 3, 4, 2, 3, 1, 0, 4, 3, 3, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 3, 2, 2, 2, 2, 3, 0, 3, 2, 2, 1, 4, 3, 1, 2, 3, 0, 3, 0, 3, 2, 1, 4, 0, 4, 3, 1, 3, 3, 3, 0, 4, 2, 1, 2, 0, 1, 0, 2, 3, 3, 1, 3, 3, 1, 1, 4, 1, 4, 1, 0, 4, 1, 2, 2, 1, 0, 3, 1, 2, 2, 1, 3, 4, 2, 2, 0, 3, 2, 1, 0, 3, 3, 0, 1, 4, 2, 0, 2, 4, 2, 2, 2, 1, 1, 3, 2, 4, 1, 2, 0, 2, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 3, 1, 1, 0, 2, 0, 2, 1, 0, 3, 0, 4, 0, 2, 1, 2, 4, 4, 0, 4, 0, 4, 4, 0, 2, 4, 3, 4, 3, 4, 1, 3, 4, 2, 2, 2, 2, 1, 3, 1, 4, 1, 0, 2, 4, 3, 2, 2, 2, 0, 2, 3, 4, 4, 3, 4, 3, 2, 3, 0, 0, 2, 0, 4, 1, 4, 2, 3, 4, 3, 2, 0, 3, 4, 4, 3, 0, 1, 3, 1, 2, 4, 1, 2, 4, 2, 0, 2, 2, 4, 2, 2, 2, 0, 3, 1, 4, 3, 0, 4, 2, 1, 4, 2, 2, 2, 3, 1, 1, 1, 0, 1, 2, 3, 0, 1, 1, 0, 2, 3, 4, 2, 0, 4, 2, 2, 2, 0, 0, 2, 1, 4, 0, 1, 3, 1, 4, 4, 3, 1, 0, 4, 0, 0, 3, 0, 4, 2, 0, 0, 1, 3, 0, 2, 2, 0, 0, 4, 1, 0, 0, 4, 3, 2, 0, 3, 3, 0, 4, 2, 3, 3, 1, 4, 1, 1, 0, 4, 0, 1, 0, 3, 0, 4, 1, 3, 4, 1, 4, 0, 0, 4, 4, 0, 4, 1, 2, 2, 2, 1, 3, 4, 2, 4, 2, 1, 2, 0, 4, 0, 1, 2, 2, 3, 1, 4, 3, 3, 3, 2, 0, 2, 3, 0, 4, 3, 2, 4, 4, 0, 1, 3, 1, 3, 2, 3, 4, 1, 2] pubkeycol472 = [4, 3, 0, 2, 2, 0, 2, 2, 0, 3, 1, 1, 4, 1, 4, 0, 4, 3, 0, 4, 0, 1, 0, 1, 4, 2, 2, 4, 1, 1, 1, 4, 0, 1, 3, 2, 2, 3, 4, 4, 2, 3, 0, 0, 2, 2, 1, 3, 0, 3, 4, 3, 4, 3, 3, 2, 4, 4, 2, 0, 4, 4, 3, 1, 2, 3, 2, 1, 3, 4, 4, 1, 3, 1, 2, 4, 4, 4, 0, 2, 0, 2, 2, 0, 3, 0, 0, 2, 2, 1, 3, 0, 3, 1, 3, 2, 2, 0, 1, 2, 0, 1, 3, 3, 4, 1, 0, 1, 1, 1, 1, 0, 4, 4, 3, 4, 2, 2, 1, 2, 0, 4, 0, 4, 3, 0, 1, 0, 4, 3, 3, 0, 1, 4, 1, 4, 1, 3, 0, 3, 4, 4, 4, 0, 1, 3, 1, 2, 3, 0, 0, 2, 0, 3, 2, 4, 0, 0, 1, 4, 0, 3, 0, 4, 2, 0, 3, 1, 3, 4, 0, 0, 3, 1, 2, 3, 2, 4, 4, 1, 4, 0, 2, 2, 1, 4, 4, 1, 2, 4, 2, 2, 2, 0, 1, 1, 1, 3, 0, 4, 4, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 4, 2, 1, 0, 2, 3, 3, 4, 3, 2, 3, 1, 2, 2, 0, 1, 0, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 4, 3, 4, 3, 2, 2, 1, 4, 3, 0, 4, 0, 4, 4, 4, 3, 4, 3, 2, 0, 4, 4, 4, 4, 3, 3, 1, 1, 0, 2, 1, 3, 4, 1, 1, 3, 0, 0, 4, 1, 3, 2, 1, 1, 0, 4, 4, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 4, 2, 2, 2, 4, 3, 0, 0, 4, 1, 1, 4, 4, 2, 4, 1, 0, 4, 0, 3, 3, 1, 2, 4, 3, 1, 4, 3, 0, 3, 3, 0, 2, 4, 2, 2, 2, 1, 3, 0, 1, 1, 2, 4, 3, 0, 2, 1, 4, 0, 3, 4, 0, 3, 0, 4, 4, 1, 1, 4, 3, 2, 3, 2, 1, 3, 0, 3, 4, 0, 2, 4, 3, 2, 4, 4, 0, 4, 3, 2, 0, 4, 2, 2, 1, 2, 2, 4, 0, 4, 4, 0, 1, 4, 0, 2, 4, 0] pubkeycol473 = [2, 2, 3, 0, 4, 1, 0, 4, 0, 0, 2, 3, 1, 3, 0, 3, 2, 1, 1, 0, 4, 4, 3, 0, 1, 0, 0, 4, 3, 1, 2, 0, 0, 2, 3, 4, 0, 2, 2, 3, 2, 0, 1, 2, 4, 0, 0, 1, 3, 4, 3, 1, 2, 0, 2, 2, 4, 3, 4, 0, 4, 1, 0, 4, 1, 3, 1, 3, 4, 1, 1, 2, 3, 2, 0, 4, 0, 4, 0, 0, 0, 4, 0, 1, 2, 0, 3, 1, 2, 2, 2, 0, 1, 2, 3, 2, 4, 0, 1, 3, 3, 2, 0, 3, 3, 0, 2, 2, 4, 1, 2, 4, 2, 1, 0, 1, 0, 2, 4, 4, 0, 1, 3, 3, 3, 4, 3, 3, 1, 4, 3, 3, 0, 1, 3, 1, 1, 2, 2, 4, 2, 1, 2, 2, 0, 3, 2, 4, 4, 0, 0, 1, 3, 0, 4, 0, 3, 3, 4, 1, 3, 1, 4, 1, 0, 2, 3, 0, 0, 4, 3, 0, 2, 1, 1, 1, 1, 0, 1, 4, 4, 4, 2, 0, 1, 0, 1, 3, 3, 0, 2, 4, 2, 3, 2, 1, 1, 4, 3, 1, 4, 1, 3, 0, 4, 2, 2, 3, 2, 4, 2, 0, 0, 4, 4, 1, 4, 4, 2, 4, 0, 2, 2, 1, 2, 4, 4, 2, 4, 0, 3, 1, 3, 2, 4, 3, 1, 2, 4, 3, 2, 2, 2, 2, 4, 3, 0, 2, 2, 1, 1, 2, 4, 1, 0, 1, 4, 4, 3, 1, 0, 4, 0, 2, 1, 1, 0, 4, 4, 3, 4, 3, 4, 0, 3, 2, 4, 0, 0, 1, 0, 1, 1, 3, 0, 3, 2, 3, 1, 1, 0, 4, 3, 4, 3, 3, 4, 4, 2, 2, 4, 4, 3, 1, 3, 3, 1, 0, 2, 2, 2, 2, 1, 3, 1, 0, 1, 4, 4, 1, 2, 4, 2, 1, 3, 2, 0, 4, 0, 4, 1, 2, 0, 4, 0, 1, 2, 3, 2, 0, 1, 0, 1, 2, 3, 0, 1, 2, 3, 2, 0, 4, 0, 2, 1, 0, 3, 3, 4, 1, 4, 3, 4, 1, 2, 2, 0, 0, 2, 0, 4, 1, 4, 4, 2, 1, 3, 0, 2, 0, 4, 1, 4, 1, 4, 2, 2, 4, 2, 3, 4, 1, 2, 2, 0, 0, 3, 3, 2, 0] pubkeycol474 = [0, 3, 0, 2, 1, 1, 4, 0, 4, 0, 3, 3, 1, 4, 0, 4, 0, 2, 4, 4, 1, 3, 2, 3, 2, 1, 4, 1, 2, 0, 3, 2, 0, 2, 1, 0, 3, 0, 0, 2, 3, 4, 3, 1, 4, 0, 0, 4, 3, 1, 4, 0, 1, 4, 3, 3, 1, 0, 4, 3, 4, 0, 3, 2, 1, 0, 4, 1, 2, 4, 3, 1, 0, 2, 0, 0, 2, 0, 2, 4, 3, 3, 4, 3, 4, 1, 2, 2, 4, 1, 1, 3, 1, 4, 3, 1, 0, 3, 3, 2, 1, 3, 1, 0, 0, 2, 1, 1, 3, 2, 1, 2, 0, 1, 3, 1, 2, 2, 2, 1, 1, 3, 2, 0, 0, 4, 1, 0, 2, 0, 2, 3, 0, 0, 0, 3, 4, 0, 2, 0, 2, 3, 4, 4, 0, 2, 3, 1, 4, 3, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 4, 2, 2, 3, 0, 1, 2, 3, 0, 0, 2, 0, 0, 3, 1, 1, 4, 1, 0, 3, 0, 2, 3, 3, 4, 3, 2, 1, 3, 2, 4, 2, 3, 3, 0, 3, 0, 1, 2, 1, 1, 4, 3, 0, 1, 3, 2, 3, 3, 3, 2, 4, 4, 0, 2, 1, 1, 1, 4, 3, 2, 3, 1, 3, 2, 4, 1, 1, 2, 3, 4, 2, 0, 3, 4, 3, 2, 4, 2, 2, 2, 2, 1, 0, 1, 4, 4, 0, 1, 2, 0, 2, 2, 4, 1, 1, 0, 4, 3, 0, 2, 1, 4, 3, 1, 4, 2, 0, 1, 0, 1, 1, 3, 4, 0, 4, 2, 1, 2, 2, 2, 3, 0, 1, 3, 0, 3, 0, 2, 1, 4, 3, 1, 1, 3, 4, 0, 4, 3, 2, 3, 2, 0, 4, 3, 4, 1, 1, 2, 1, 3, 3, 0, 1, 2, 1, 0, 1, 4, 1, 3, 1, 1, 3, 1, 2, 4, 1, 2, 0, 3, 3, 1, 0, 0, 4, 4, 3, 2, 2, 2, 4, 4, 2, 3, 0, 0, 4, 1, 3, 0, 1, 3, 0, 1, 2, 2, 3, 0, 0, 0, 3, 1, 2, 4, 0, 2, 4, 1, 4, 0, 4, 4, 3, 4, 3, 0, 3, 4, 2, 3, 4, 1, 0, 3, 1, 3, 1, 0, 2, 4, 4, 1, 4, 2, 2, 3, 2, 2, 0] pubkeycol475 = [1, 4, 3, 3, 3, 1, 3, 1, 0, 0, 2, 2, 3, 4, 1, 0, 4, 0, 3, 2, 4, 3, 2, 4, 2, 0, 4, 4, 4, 4, 2, 2, 4, 2, 4, 2, 1, 1, 3, 3, 2, 4, 1, 3, 0, 2, 4, 4, 4, 1, 4, 4, 2, 1, 1, 3, 4, 0, 0, 0, 4, 3, 3, 3, 0, 4, 1, 2, 4, 3, 4, 4, 2, 0, 1, 3, 0, 3, 3, 2, 4, 4, 3, 3, 3, 1, 3, 3, 3, 2, 3, 0, 4, 1, 2, 3, 2, 1, 1, 0, 0, 2, 3, 1, 0, 1, 4, 2, 1, 3, 2, 1, 2, 0, 1, 1, 4, 1, 4, 4, 3, 0, 1, 3, 2, 0, 3, 0, 2, 4, 4, 4, 4, 0, 3, 1, 2, 1, 0, 0, 1, 0, 4, 1, 1, 0, 1, 2, 3, 0, 1, 1, 1, 4, 4, 2, 4, 3, 0, 4, 3, 0, 2, 4, 1, 3, 3, 4, 3, 0, 1, 3, 0, 2, 4, 3, 4, 2, 1, 1, 2, 3, 1, 3, 1, 4, 1, 4, 4, 1, 2, 4, 3, 2, 4, 3, 4, 3, 2, 0, 2, 4, 1, 0, 0, 0, 2, 0, 3, 1, 0, 3, 1, 2, 4, 3, 3, 0, 1, 0, 3, 1, 4, 1, 3, 2, 3, 2, 0, 1, 1, 2, 4, 1, 3, 1, 3, 2, 0, 4, 4, 4, 4, 1, 4, 2, 1, 4, 4, 2, 4, 3, 0, 0, 0, 2, 4, 2, 1, 0, 2, 0, 3, 2, 2, 4, 2, 1, 2, 3, 4, 2, 1, 2, 2, 4, 0, 0, 0, 2, 1, 0, 4, 0, 3, 0, 0, 0, 4, 0, 3, 1, 2, 2, 3, 0, 2, 3, 1, 3, 2, 0, 0, 4, 1, 2, 3, 1, 0, 3, 0, 0, 2, 2, 0, 1, 4, 4, 1, 1, 1, 1, 0, 1, 3, 0, 3, 4, 1, 0, 2, 4, 1, 3, 1, 1, 4, 0, 1, 2, 0, 0, 4, 3, 2, 2, 3, 0, 0, 1, 0, 2, 1, 2, 2, 3, 4, 0, 4, 2, 2, 3, 3, 0, 3, 0, 3, 4, 1, 3, 1, 3, 3, 3, 3, 0, 4, 2, 0, 1, 4, 2, 1, 4, 1, 1, 1, 2, 2, 2, 0, 3, 2, 3, 1, 0, 0, 4, 1, 1] pubkeycol476 = [3, 1, 4, 1, 4, 3, 0, 4, 0, 4, 2, 0, 0, 4, 2, 3, 1, 3, 2, 4, 2, 4, 0, 0, 0, 4, 4, 3, 1, 4, 3, 0, 3, 4, 0, 4, 1, 3, 2, 1, 0, 1, 1, 1, 3, 0, 1, 2, 0, 2, 2, 3, 2, 1, 0, 2, 2, 1, 0, 2, 3, 3, 1, 3, 3, 2, 2, 4, 1, 4, 3, 3, 1, 4, 0, 1, 4, 1, 4, 0, 4, 2, 1, 2, 4, 2, 0, 2, 0, 1, 4, 2, 4, 1, 4, 2, 3, 2, 1, 4, 1, 4, 2, 4, 4, 4, 2, 2, 1, 1, 3, 0, 2, 1, 4, 4, 4, 2, 3, 4, 1, 2, 4, 3, 4, 3, 0, 2, 4, 0, 0, 3, 3, 2, 2, 4, 0, 1, 4, 1, 1, 4, 0, 2, 2, 2, 1, 4, 4, 3, 3, 4, 0, 4, 0, 0, 2, 1, 2, 1, 4, 0, 1, 1, 1, 2, 3, 3, 4, 1, 1, 2, 2, 2, 0, 3, 1, 3, 1, 1, 4, 3, 1, 4, 1, 1, 2, 4, 2, 1, 2, 1, 3, 2, 1, 3, 1, 2, 0, 0, 0, 3, 4, 2, 2, 0, 4, 2, 3, 1, 3, 0, 3, 2, 3, 4, 3, 4, 2, 3, 3, 0, 0, 2, 0, 4, 3, 4, 3, 0, 3, 3, 2, 1, 1, 1, 4, 1, 2, 3, 3, 0, 3, 0, 1, 3, 0, 0, 3, 1, 0, 4, 4, 0, 1, 3, 0, 1, 2, 2, 3, 2, 1, 4, 4, 2, 1, 4, 0, 0, 4, 4, 1, 3, 0, 4, 2, 3, 4, 0, 3, 3, 4, 0, 2, 0, 1, 2, 3, 0, 2, 3, 4, 0, 2, 0, 4, 3, 0, 3, 1, 2, 2, 3, 2, 2, 2, 1, 3, 0, 0, 0, 2, 4, 2, 3, 0, 3, 1, 3, 1, 3, 3, 2, 3, 0, 4, 1, 1, 2, 2, 3, 3, 1, 2, 1, 0, 0, 3, 0, 2, 2, 2, 0, 1, 4, 2, 0, 0, 4, 3, 2, 2, 2, 0, 1, 3, 3, 1, 4, 3, 2, 3, 2, 0, 0, 2, 0, 3, 2, 4, 2, 3, 0, 2, 2, 0, 2, 4, 2, 3, 1, 3, 1, 3, 2, 4, 3, 0, 0, 0, 0, 4, 4, 3, 2, 1, 4, 1, 4] pubkeycol477 = [3, 4, 0, 2, 0, 3, 4, 4, 4, 1, 0, 2, 2, 1, 1, 0, 2, 3, 3, 4, 1, 3, 1, 2, 1, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 2, 3, 0, 3, 1, 2, 0, 2, 3, 3, 2, 2, 0, 0, 2, 1, 0, 3, 0, 4, 1, 1, 1, 2, 3, 1, 2, 0, 0, 3, 2, 1, 1, 0, 3, 1, 1, 1, 3, 4, 4, 3, 1, 2, 2, 4, 0, 3, 1, 4, 1, 3, 1, 4, 2, 0, 4, 2, 1, 4, 1, 1, 3, 1, 4, 0, 2, 2, 4, 1, 4, 0, 4, 0, 2, 4, 2, 0, 2, 3, 4, 0, 2, 3, 2, 4, 4, 4, 2, 1, 1, 2, 4, 3, 4, 1, 1, 1, 1, 4, 0, 0, 4, 2, 3, 2, 1, 0, 2, 2, 0, 2, 3, 2, 3, 0, 1, 0, 4, 3, 0, 1, 3, 3, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 4, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 4, 1, 0, 0, 2, 3, 1, 0, 3, 1, 3, 4, 3, 2, 3, 4, 3, 3, 4, 1, 1, 3, 1, 1, 1, 3, 1, 2, 2, 0, 4, 2, 3, 0, 2, 3, 2, 4, 4, 2, 2, 1, 1, 3, 3, 1, 0, 3, 1, 4, 3, 2, 1, 1, 3, 2, 4, 3, 2, 4, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 3, 4, 1, 2, 0, 1, 4, 0, 1, 0, 4, 4, 2, 1, 0, 4, 4, 0, 2, 4, 0, 1, 2, 0, 2, 3, 0, 2, 1, 3, 1, 4, 0, 4, 0, 0, 3, 0, 2, 1, 2, 4, 2, 4, 1, 0, 0, 2, 3, 4, 2, 3, 3, 0, 1, 2, 3, 3, 2, 3, 4, 2, 0, 3, 2, 0, 0, 3, 0, 2, 2, 3, 4, 0, 0, 2, 1, 2, 0, 3, 3, 4, 3, 0, 3, 0, 0, 4, 4, 0, 0, 4, 2, 1, 4, 4, 0, 4, 2, 0, 0, 4, 2, 4, 0, 4, 3, 2, 0, 3, 1, 1, 0, 2, 3, 2, 3, 4, 0, 0, 2, 4, 1, 1, 4, 3, 4, 1, 0, 1, 0, 2, 1, 1, 4, 3, 2, 3, 0, 3, 0, 0, 1, 2, 0, 2, 4] pubkeycol478 = [3, 3, 0, 3, 4, 0, 0, 3, 0, 2, 4, 2, 2, 4, 4, 2, 4, 0, 1, 2, 0, 3, 2, 2, 1, 3, 1, 4, 2, 1, 3, 4, 0, 3, 4, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 3, 1, 4, 1, 3, 0, 0, 4, 0, 2, 0, 4, 1, 0, 0, 0, 0, 3, 0, 1, 0, 2, 0, 4, 4, 2, 4, 2, 1, 3, 4, 0, 3, 3, 2, 3, 3, 0, 1, 0, 0, 2, 1, 4, 2, 2, 0, 2, 3, 0, 0, 4, 2, 4, 1, 2, 1, 2, 4, 3, 2, 4, 4, 3, 4, 3, 4, 3, 4, 1, 0, 3, 3, 4, 1, 4, 1, 4, 4, 1, 3, 0, 3, 1, 4, 1, 2, 4, 3, 1, 4, 1, 2, 0, 4, 1, 3, 3, 4, 4, 2, 4, 0, 2, 4, 3, 1, 1, 2, 1, 2, 0, 2, 0, 1, 3, 4, 4, 0, 3, 0, 3, 1, 0, 1, 1, 0, 3, 1, 1, 4, 3, 2, 1, 2, 1, 0, 3, 2, 0, 3, 4, 0, 2, 0, 1, 2, 3, 2, 4, 4, 0, 1, 0, 3, 4, 3, 1, 3, 0, 1, 3, 4, 1, 0, 4, 0, 2, 4, 4, 3, 0, 4, 4, 2, 4, 2, 2, 0, 0, 4, 3, 1, 0, 4, 3, 0, 0, 2, 4, 3, 2, 4, 4, 1, 4, 1, 4, 0, 2, 1, 3, 3, 2, 1, 2, 1, 1, 2, 4, 2, 1, 0, 2, 2, 3, 3, 0, 0, 2, 2, 4, 2, 0, 3, 4, 0, 4, 4, 1, 1, 4, 4, 2, 1, 3, 2, 2, 2, 3, 2, 3, 4, 2, 3, 2, 0, 1, 0, 3, 4, 1, 3, 4, 1, 0, 0, 4, 4, 1, 1, 4, 4, 2, 0, 2, 0, 1, 1, 0, 3, 2, 1, 4, 4, 1, 3, 4, 4, 4, 2, 0, 1, 4, 0, 3, 1, 0, 3, 3, 3, 0, 4, 0, 3, 4, 0, 0, 2, 4, 0, 3, 1, 1, 3, 3, 0, 4, 1, 4, 3, 0, 1, 1, 1, 4, 4, 1, 3, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 3, 1, 4, 2, 1, 4, 2, 2, 3, 4, 2, 1, 3, 4, 0, 4, 2, 4, 0, 2, 4, 4, 4, 1, 3, 3] pubkeycol479 = [3, 0, 2, 0, 0, 3, 2, 4, 0, 1, 2, 0, 4, 1, 2, 0, 2, 1, 0, 1, 0, 4, 3, 3, 0, 3, 0, 1, 1, 3, 0, 3, 0, 3, 2, 3, 0, 4, 4, 4, 3, 3, 2, 4, 3, 1, 3, 1, 2, 0, 3, 3, 3, 2, 2, 4, 0, 0, 3, 3, 3, 0, 2, 3, 1, 0, 4, 1, 4, 0, 0, 2, 2, 3, 2, 0, 2, 3, 3, 2, 1, 4, 4, 4, 0, 3, 3, 4, 0, 3, 4, 2, 0, 0, 3, 2, 1, 2, 2, 4, 1, 3, 3, 4, 1, 0, 3, 1, 3, 2, 0, 3, 2, 2, 2, 4, 0, 4, 4, 3, 3, 0, 4, 3, 1, 0, 1, 3, 4, 0, 4, 1, 2, 4, 3, 4, 4, 1, 1, 2, 1, 0, 4, 2, 2, 0, 2, 2, 3, 0, 1, 4, 4, 0, 0, 4, 1, 0, 2, 1, 2, 3, 0, 2, 2, 2, 1, 0, 2, 3, 4, 2, 0, 2, 1, 3, 2, 4, 3, 1, 3, 4, 1, 0, 1, 4, 0, 1, 4, 2, 3, 0, 3, 0, 0, 3, 0, 0, 4, 3, 2, 1, 0, 4, 3, 3, 0, 2, 1, 2, 0, 3, 1, 4, 4, 1, 3, 2, 0, 1, 4, 0, 0, 4, 0, 4, 4, 4, 1, 3, 3, 0, 4, 2, 2, 1, 1, 3, 4, 3, 3, 4, 3, 2, 1, 4, 4, 1, 2, 0, 4, 0, 2, 4, 1, 1, 4, 4, 3, 1, 4, 3, 1, 0, 3, 1, 2, 0, 0, 2, 2, 0, 1, 3, 0, 3, 0, 4, 2, 0, 3, 0, 3, 1, 2, 3, 3, 0, 4, 4, 4, 4, 3, 2, 3, 0, 2, 1, 1, 3, 4, 1, 4, 4, 0, 2, 0, 4, 1, 4, 2, 3, 3, 2, 1, 4, 2, 3, 2, 3, 0, 2, 0, 1, 2, 1, 0, 3, 2, 4, 4, 1, 1, 2, 2, 3, 2, 3, 4, 1, 1, 2, 3, 2, 0, 3, 3, 1, 0, 0, 2, 3, 3, 0, 3, 0, 4, 0, 4, 4, 2, 4, 2, 1, 3, 4, 2, 0, 0, 4, 1, 0, 4, 2, 2, 1, 3, 2, 4, 4, 4, 4, 0, 1, 2, 2, 0, 3, 0, 0, 1, 1, 3, 4, 3, 4, 3, 2, 3, 1] pubkeycol480 = [1, 2, 3, 0, 3, 1, 3, 0, 3, 3, 3, 3, 4, 1, 3, 0, 0, 3, 1, 0, 0, 2, 4, 3, 3, 0, 4, 3, 4, 2, 1, 2, 2, 2, 4, 1, 2, 2, 4, 3, 4, 3, 1, 0, 1, 2, 2, 0, 3, 0, 4, 0, 0, 4, 0, 2, 3, 1, 4, 3, 3, 1, 4, 1, 4, 2, 4, 0, 4, 0, 2, 2, 0, 2, 0, 2, 4, 0, 0, 0, 3, 4, 3, 3, 4, 2, 3, 4, 4, 3, 4, 0, 3, 4, 3, 4, 0, 2, 2, 2, 0, 0, 3, 1, 3, 1, 1, 1, 3, 3, 3, 2, 4, 1, 2, 2, 0, 2, 2, 1, 4, 0, 2, 2, 4, 2, 2, 4, 4, 1, 1, 4, 0, 4, 1, 2, 4, 3, 3, 3, 1, 3, 4, 4, 4, 4, 1, 4, 1, 4, 3, 4, 2, 1, 1, 1, 2, 0, 4, 2, 1, 1, 2, 2, 0, 0, 4, 0, 4, 3, 0, 1, 3, 2, 0, 0, 0, 4, 1, 1, 3, 0, 1, 3, 3, 4, 0, 0, 4, 1, 3, 1, 3, 2, 0, 3, 4, 0, 4, 4, 1, 3, 4, 2, 0, 2, 1, 0, 0, 2, 4, 4, 4, 3, 4, 0, 1, 0, 1, 2, 3, 2, 1, 0, 0, 2, 4, 0, 4, 0, 2, 2, 2, 4, 0, 0, 3, 2, 4, 3, 1, 0, 0, 4, 4, 1, 1, 2, 2, 1, 4, 1, 3, 1, 1, 2, 4, 1, 1, 1, 3, 0, 4, 0, 2, 3, 1, 3, 3, 1, 0, 4, 4, 0, 2, 4, 0, 2, 2, 1, 1, 4, 2, 3, 4, 2, 0, 2, 3, 2, 3, 1, 4, 0, 4, 4, 4, 0, 0, 3, 0, 2, 2, 4, 4, 0, 0, 4, 4, 1, 1, 0, 4, 2, 2, 2, 3, 1, 3, 0, 4, 2, 1, 0, 1, 1, 0, 3, 0, 3, 3, 3, 1, 1, 2, 2, 0, 3, 4, 4, 1, 4, 4, 1, 1, 4, 1, 1, 1, 4, 4, 3, 2, 4, 4, 4, 0, 3, 2, 3, 1, 3, 3, 1, 0, 0, 3, 1, 3, 1, 3, 2, 0, 3, 0, 1, 2, 4, 4, 1, 1, 0, 0, 1, 1, 4, 3, 4, 0, 0, 2, 1, 4, 0, 0, 3, 1, 0, 4, 2] pubkeycol481 = [0, 1, 3, 1, 0, 2, 1, 0, 1, 4, 1, 3, 3, 3, 4, 0, 4, 1, 0, 0, 0, 0, 2, 2, 3, 0, 0, 0, 1, 0, 2, 0, 4, 1, 3, 3, 0, 0, 3, 1, 4, 4, 4, 3, 0, 2, 3, 1, 2, 4, 1, 4, 1, 1, 1, 3, 4, 4, 0, 2, 0, 4, 2, 2, 4, 3, 4, 0, 2, 2, 3, 4, 1, 4, 1, 3, 0, 3, 3, 0, 4, 1, 3, 4, 4, 2, 2, 1, 3, 0, 1, 3, 4, 4, 1, 3, 2, 4, 4, 4, 1, 2, 2, 1, 2, 3, 0, 4, 2, 2, 4, 0, 1, 3, 0, 2, 2, 4, 0, 2, 1, 2, 1, 3, 2, 0, 4, 0, 4, 1, 1, 4, 0, 0, 0, 0, 0, 2, 3, 2, 1, 0, 3, 1, 0, 2, 1, 1, 0, 2, 4, 4, 1, 2, 1, 2, 1, 4, 1, 2, 3, 2, 3, 4, 0, 0, 4, 4, 2, 0, 3, 3, 0, 1, 2, 3, 3, 2, 2, 1, 1, 4, 2, 2, 3, 4, 1, 4, 0, 0, 2, 3, 3, 0, 2, 3, 1, 4, 0, 2, 1, 2, 2, 2, 4, 1, 2, 4, 3, 0, 2, 4, 0, 4, 2, 2, 1, 0, 2, 2, 3, 3, 0, 0, 2, 2, 4, 1, 0, 0, 3, 2, 2, 0, 2, 2, 3, 2, 1, 1, 3, 3, 2, 2, 2, 1, 3, 0, 4, 4, 3, 1, 3, 1, 4, 2, 1, 4, 4, 4, 1, 3, 4, 1, 0, 0, 1, 2, 0, 1, 4, 3, 1, 1, 0, 1, 1, 4, 2, 1, 0, 3, 2, 4, 4, 0, 4, 1, 0, 3, 4, 3, 4, 1, 2, 1, 4, 3, 1, 2, 0, 0, 4, 3, 0, 4, 0, 4, 4, 0, 0, 0, 0, 2, 0, 3, 2, 1, 1, 2, 4, 3, 3, 2, 2, 2, 2, 0, 0, 2, 0, 4, 1, 2, 2, 1, 2, 4, 4, 1, 3, 3, 3, 3, 0, 0, 2, 1, 2, 3, 3, 4, 4, 2, 4, 0, 3, 0, 2, 3, 2, 3, 0, 3, 2, 3, 1, 2, 4, 1, 1, 2, 4, 4, 2, 0, 1, 2, 4, 0, 3, 3, 1, 1, 3, 3, 0, 1, 4, 0, 1, 0, 3, 2, 1, 2, 3, 1, 1, 3] pubkeycol482 = [0, 2, 0, 2, 3, 0, 4, 1, 3, 3, 4, 4, 1, 3, 1, 3, 1, 1, 4, 4, 4, 0, 0, 4, 2, 1, 0, 2, 0, 2, 4, 1, 2, 4, 4, 2, 3, 2, 4, 0, 1, 3, 0, 3, 3, 3, 4, 0, 0, 2, 3, 4, 3, 1, 3, 4, 3, 4, 1, 4, 4, 1, 0, 3, 2, 1, 3, 3, 3, 2, 2, 1, 2, 2, 4, 3, 2, 3, 2, 1, 0, 3, 0, 0, 3, 3, 1, 2, 2, 2, 3, 1, 1, 1, 2, 0, 2, 2, 2, 2, 3, 2, 4, 2, 3, 0, 3, 0, 0, 2, 4, 2, 0, 3, 3, 2, 2, 1, 3, 0, 1, 1, 2, 0, 4, 2, 0, 4, 0, 0, 3, 0, 4, 4, 1, 3, 4, 3, 0, 4, 1, 3, 4, 4, 3, 2, 4, 4, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 4, 4, 4, 2, 4, 4, 4, 1, 3, 3, 1, 4, 2, 1, 2, 0, 3, 0, 0, 3, 0, 4, 4, 1, 0, 0, 4, 3, 1, 4, 4, 0, 4, 4, 0, 3, 0, 1, 4, 2, 0, 0, 3, 0, 2, 1, 4, 0, 1, 0, 3, 2, 0, 1, 4, 3, 4, 3, 4, 3, 4, 3, 0, 1, 2, 3, 4, 3, 4, 2, 4, 3, 3, 3, 4, 1, 2, 0, 2, 2, 2, 3, 0, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 2, 2, 4, 1, 0, 4, 3, 2, 0, 2, 0, 4, 1, 4, 2, 4, 0, 0, 3, 2, 1, 1, 4, 4, 1, 1, 2, 0, 3, 0, 2, 0, 2, 1, 1, 1, 1, 4, 2, 0, 1, 4, 1, 4, 3, 3, 0, 4, 1, 2, 2, 4, 1, 4, 1, 4, 0, 0, 1, 4, 2, 0, 2, 1, 0, 3, 3, 4, 3, 1, 3, 3, 4, 4, 1, 1, 3, 3, 2, 0, 2, 1, 3, 4, 2, 0, 1, 0, 2, 2, 1, 4, 0, 2, 3, 2, 2, 2, 4, 2, 3, 4, 3, 1, 2, 0, 0, 0, 0, 1, 0, 4, 2, 3, 0, 1, 2, 3, 2, 3, 4, 2, 2, 0, 3, 2, 0, 3, 4, 1, 4, 0, 3, 0, 1, 2, 0, 1, 4, 0, 4, 1, 3, 2, 0, 2] pubkeycol483 = [1, 3, 3, 4, 1, 0, 2, 0, 2, 4, 2, 3, 1, 3, 2, 2, 2, 2, 2, 4, 2, 1, 3, 3, 3, 2, 0, 3, 0, 0, 3, 2, 2, 1, 2, 0, 2, 0, 1, 4, 2, 2, 1, 3, 1, 3, 2, 1, 4, 4, 0, 3, 2, 2, 0, 0, 2, 2, 3, 3, 4, 1, 1, 3, 1, 2, 1, 2, 4, 1, 2, 0, 2, 0, 3, 0, 3, 0, 0, 2, 2, 1, 2, 3, 2, 4, 4, 4, 3, 1, 3, 2, 3, 1, 1, 2, 1, 3, 3, 4, 2, 0, 1, 0, 3, 1, 4, 3, 3, 4, 1, 1, 4, 3, 0, 1, 0, 1, 0, 3, 1, 2, 2, 0, 4, 1, 1, 3, 3, 4, 2, 3, 4, 3, 0, 2, 4, 2, 4, 2, 2, 4, 0, 1, 4, 3, 3, 2, 3, 0, 4, 4, 1, 0, 1, 1, 3, 4, 4, 0, 4, 3, 4, 0, 4, 3, 3, 0, 0, 3, 4, 4, 4, 3, 1, 0, 3, 4, 2, 0, 0, 1, 1, 4, 1, 1, 1, 2, 4, 2, 0, 0, 1, 0, 3, 4, 2, 2, 0, 0, 0, 2, 3, 3, 1, 0, 4, 2, 2, 4, 2, 4, 2, 4, 1, 3, 0, 3, 2, 0, 4, 4, 1, 2, 0, 4, 0, 1, 0, 3, 2, 3, 2, 4, 0, 0, 4, 2, 2, 2, 4, 0, 2, 1, 3, 2, 4, 2, 3, 2, 3, 4, 4, 2, 4, 4, 0, 0, 4, 3, 3, 0, 4, 3, 4, 2, 2, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 2, 2, 3, 4, 1, 4, 4, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 0, 2, 0, 0, 3, 0, 1, 4, 4, 3, 2, 2, 0, 0, 3, 1, 4, 2, 1, 1, 3, 4, 1, 2, 2, 1, 1, 2, 4, 0, 0, 4, 4, 3, 4, 2, 3, 3, 3, 3, 0, 0, 4, 0, 4, 0, 3, 3, 2, 4, 2, 3, 1, 3, 1, 3, 4, 3, 1, 0, 4, 2, 1, 2, 4, 2, 3, 4, 1, 0, 4, 2, 1, 2, 0, 0, 3, 3, 2, 4, 2, 4, 3, 4, 0, 3, 0, 1, 1, 3, 1, 2, 4, 3, 4, 0, 0, 2, 4, 2, 1, 4, 4, 0, 0, 3] pubkeycol484 = [3, 4, 4, 3, 3, 3, 3, 3, 1, 1, 4, 4, 4, 3, 4, 3, 2, 3, 4, 3, 2, 3, 0, 3, 4, 1, 3, 2, 4, 4, 0, 4, 2, 1, 3, 3, 3, 2, 2, 3, 4, 4, 0, 0, 2, 3, 3, 2, 1, 1, 2, 3, 4, 3, 3, 0, 1, 4, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 1, 3, 0, 4, 0, 4, 2, 0, 2, 1, 2, 1, 2, 1, 0, 3, 4, 0, 3, 3, 1, 3, 2, 1, 2, 3, 0, 0, 1, 4, 3, 2, 0, 0, 1, 0, 2, 3, 1, 2, 1, 2, 1, 0, 2, 1, 3, 0, 2, 3, 4, 4, 3, 1, 3, 4, 1, 1, 0, 3, 2, 3, 0, 0, 3, 2, 2, 3, 3, 1, 3, 1, 3, 4, 1, 4, 1, 0, 2, 4, 4, 2, 4, 1, 4, 0, 2, 4, 4, 3, 1, 3, 2, 1, 2, 3, 1, 0, 0, 3, 3, 3, 3, 2, 2, 4, 2, 2, 0, 0, 2, 1, 3, 2, 1, 0, 3, 0, 4, 1, 1, 0, 1, 4, 1, 1, 0, 3, 0, 3, 2, 3, 2, 1, 4, 4, 3, 4, 3, 3, 1, 2, 4, 3, 4, 3, 3, 2, 2, 3, 0, 3, 4, 1, 0, 3, 3, 3, 0, 4, 3, 2, 4, 4, 3, 3, 0, 0, 3, 2, 0, 2, 2, 4, 1, 1, 2, 2, 2, 2, 3, 4, 3, 1, 3, 3, 1, 4, 3, 2, 3, 3, 1, 2, 4, 0, 0, 1, 1, 1, 4, 3, 4, 4, 0, 1, 3, 4, 1, 0, 2, 4, 1, 0, 3, 3, 0, 4, 3, 3, 1, 1, 3, 4, 3, 0, 0, 0, 4, 4, 0, 2, 4, 0, 0, 4, 3, 0, 4, 4, 3, 2, 3, 3, 4, 2, 3, 3, 4, 2, 2, 2, 1, 0, 3, 0, 3, 3, 3, 1, 1, 1, 3, 1, 4, 0, 3, 0, 2, 3, 1, 4, 2, 3, 1, 4, 3, 2, 2, 2, 2, 0, 0, 1, 0, 0, 4, 2, 3, 4, 1, 1, 2, 4, 0, 0, 2, 2, 2, 2, 1, 1, 2, 3, 0, 4, 1, 4, 0, 0, 1, 4, 1, 1, 1, 3, 0, 0, 4, 0, 2, 3, 3, 3, 1, 2, 4, 1, 0, 0, 2, 0] pubkeycol485 = [3, 1, 4, 3, 4, 0, 2, 2, 3, 4, 2, 3, 2, 1, 0, 4, 2, 3, 0, 2, 4, 0, 4, 0, 1, 4, 1, 2, 4, 2, 4, 0, 3, 1, 3, 4, 1, 0, 4, 0, 0, 0, 0, 2, 2, 3, 3, 4, 0, 3, 1, 1, 2, 0, 2, 4, 3, 3, 0, 3, 4, 3, 2, 2, 4, 2, 0, 1, 4, 0, 2, 4, 1, 0, 3, 4, 0, 3, 3, 0, 1, 2, 0, 0, 3, 3, 0, 1, 4, 3, 1, 4, 2, 1, 0, 1, 1, 4, 3, 3, 1, 3, 4, 2, 1, 1, 0, 1, 1, 4, 2, 0, 1, 4, 4, 2, 0, 1, 3, 2, 4, 1, 0, 3, 0, 4, 1, 2, 3, 4, 2, 1, 4, 4, 2, 4, 2, 4, 4, 1, 2, 1, 1, 1, 4, 4, 1, 0, 4, 0, 1, 0, 1, 0, 4, 3, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 3, 0, 3, 4, 4, 3, 4, 1, 4, 3, 0, 2, 1, 2, 3, 2, 2, 3, 2, 3, 3, 2, 1, 4, 4, 3, 3, 1, 1, 4, 2, 3, 3, 1, 1, 1, 2, 4, 3, 3, 2, 2, 4, 0, 0, 2, 2, 4, 4, 1, 0, 3, 4, 2, 1, 0, 4, 3, 3, 2, 3, 2, 3, 3, 1, 3, 0, 0, 1, 2, 2, 0, 4, 2, 0, 0, 4, 2, 2, 4, 1, 4, 3, 0, 0, 4, 3, 4, 1, 1, 1, 2, 1, 3, 3, 4, 4, 0, 3, 2, 2, 2, 4, 1, 3, 4, 1, 3, 1, 4, 3, 3, 2, 4, 3, 3, 3, 4, 1, 2, 4, 3, 1, 3, 3, 0, 0, 1, 3, 1, 0, 4, 3, 1, 4, 2, 2, 4, 2, 4, 2, 4, 2, 0, 4, 0, 2, 1, 1, 4, 1, 3, 2, 4, 0, 3, 4, 3, 3, 4, 1, 3, 3, 3, 3, 0, 2, 0, 2, 4, 4, 2, 3, 0, 4, 3, 4, 4, 3, 2, 3, 0, 0, 4, 1, 2, 3, 3, 0, 3, 0, 3, 2, 3, 4, 0, 3, 0, 4, 2, 2, 3, 4, 0, 2, 4, 4, 4, 0, 1, 2, 2, 4, 3, 0, 1, 3, 3, 1, 1, 3, 3, 0, 0, 2, 0, 4, 2, 3, 3, 2, 0] pubkeycol486 = [0, 3, 1, 1, 0, 0, 2, 2, 4, 1, 2, 0, 0, 4, 1, 1, 1, 1, 2, 1, 2, 3, 2, 1, 3, 0, 4, 4, 3, 0, 4, 1, 4, 3, 0, 2, 0, 4, 0, 0, 3, 3, 1, 0, 3, 1, 2, 0, 4, 2, 1, 4, 2, 0, 1, 2, 2, 2, 1, 2, 0, 4, 1, 0, 3, 2, 3, 0, 2, 0, 1, 2, 1, 4, 0, 3, 4, 0, 4, 0, 2, 2, 2, 1, 3, 0, 4, 3, 2, 2, 4, 2, 1, 3, 3, 0, 2, 4, 0, 0, 4, 3, 1, 3, 0, 4, 2, 1, 3, 2, 3, 4, 0, 0, 2, 4, 2, 3, 3, 1, 4, 0, 2, 1, 1, 1, 4, 2, 0, 4, 1, 0, 4, 1, 3, 1, 0, 3, 4, 3, 4, 1, 1, 2, 3, 1, 0, 0, 0, 1, 1, 4, 1, 0, 2, 4, 2, 3, 3, 2, 3, 0, 0, 3, 3, 0, 2, 2, 2, 1, 0, 3, 0, 1, 4, 1, 4, 4, 2, 2, 4, 1, 4, 0, 4, 1, 1, 4, 1, 1, 2, 1, 2, 0, 1, 3, 1, 0, 2, 2, 3, 4, 4, 3, 4, 2, 4, 3, 3, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 0, 4, 3, 3, 2, 4, 2, 1, 0, 1, 4, 2, 0, 3, 4, 0, 0, 2, 4, 0, 3, 4, 3, 0, 1, 2, 2, 3, 2, 1, 1, 2, 4, 3, 2, 2, 3, 1, 4, 0, 2, 2, 2, 2, 2, 0, 2, 0, 4, 0, 1, 2, 1, 2, 2, 1, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 3, 2, 4, 4, 3, 0, 1, 4, 1, 1, 0, 1, 4, 3, 4, 4, 3, 2, 2, 3, 0, 2, 3, 2, 2, 3, 1, 2, 3, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 4, 2, 3, 1, 0, 4, 0, 4, 4, 2, 2, 3, 4, 1, 3, 1, 2, 1, 1, 0, 3, 3, 1, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 3, 2, 4, 1, 3, 2, 4, 4, 0, 0, 1, 3, 2, 4, 2, 0, 0, 2, 3, 0, 1, 1, 0, 3, 0, 4, 1, 1, 0, 4, 3, 2, 1, 2, 4, 0, 3, 0, 2, 4, 0, 1] pubkeycol487 = [1, 0, 0, 3, 1, 1, 2, 1, 1, 0, 3, 0, 2, 3, 3, 2, 0, 4, 3, 1, 0, 4, 2, 3, 0, 2, 1, 4, 4, 4, 2, 0, 1, 2, 2, 1, 1, 4, 2, 3, 1, 4, 0, 1, 3, 0, 4, 2, 4, 0, 2, 2, 1, 0, 0, 0, 3, 3, 2, 3, 2, 2, 4, 0, 2, 3, 2, 1, 0, 1, 3, 2, 1, 3, 1, 3, 2, 4, 1, 3, 1, 0, 2, 3, 4, 2, 4, 2, 1, 2, 3, 1, 2, 4, 3, 2, 0, 1, 2, 2, 4, 3, 4, 3, 2, 2, 3, 2, 2, 3, 3, 3, 2, 1, 2, 3, 4, 3, 1, 0, 4, 1, 4, 0, 3, 1, 4, 1, 3, 0, 1, 3, 3, 0, 2, 4, 1, 4, 0, 2, 1, 1, 3, 1, 3, 3, 4, 4, 1, 0, 4, 3, 2, 2, 3, 1, 3, 4, 2, 0, 0, 2, 1, 3, 2, 1, 4, 4, 0, 1, 4, 0, 2, 4, 0, 4, 0, 2, 2, 1, 4, 4, 3, 2, 1, 0, 2, 2, 1, 2, 4, 0, 3, 0, 3, 2, 0, 2, 2, 2, 3, 0, 0, 3, 3, 2, 2, 4, 2, 0, 3, 2, 1, 4, 1, 0, 0, 4, 1, 0, 2, 0, 3, 4, 1, 1, 4, 1, 0, 4, 4, 4, 3, 1, 3, 2, 3, 4, 3, 2, 1, 2, 2, 3, 4, 0, 0, 4, 4, 3, 1, 0, 3, 0, 2, 2, 4, 1, 3, 4, 1, 3, 0, 1, 2, 2, 4, 0, 2, 3, 0, 1, 3, 1, 4, 0, 3, 1, 1, 4, 3, 0, 0, 4, 3, 2, 1, 4, 4, 4, 0, 0, 4, 3, 3, 4, 4, 0, 1, 2, 1, 3, 3, 1, 0, 2, 2, 2, 1, 3, 1, 0, 3, 1, 1, 3, 3, 4, 2, 3, 2, 4, 4, 0, 2, 2, 1, 3, 4, 1, 3, 2, 4, 2, 4, 4, 4, 1, 3, 3, 3, 2, 2, 1, 4, 3, 0, 1, 3, 2, 2, 0, 4, 1, 4, 3, 0, 4, 2, 4, 4, 1, 3, 2, 2, 2, 4, 3, 3, 3, 3, 4, 0, 4, 2, 4, 2, 2, 2, 1, 1, 1, 3, 4, 4, 2, 3, 1, 4, 4, 4, 1, 2, 0, 0, 0, 0, 4, 1, 3] pubkeycol488 = [2, 1, 3, 0, 1, 2, 4, 2, 3, 4, 1, 2, 2, 3, 1, 2, 0, 0, 4, 3, 1, 0, 0, 3, 4, 0, 3, 0, 0, 0, 2, 2, 1, 0, 0, 4, 2, 0, 3, 1, 4, 2, 2, 3, 0, 0, 3, 0, 0, 4, 2, 4, 4, 0, 3, 3, 4, 1, 3, 3, 3, 4, 1, 0, 3, 1, 4, 1, 2, 3, 2, 3, 2, 3, 2, 1, 2, 4, 2, 2, 0, 1, 1, 2, 4, 4, 4, 3, 0, 2, 2, 2, 2, 4, 3, 0, 0, 2, 2, 4, 0, 2, 2, 3, 2, 1, 1, 1, 3, 4, 1, 3, 0, 1, 1, 1, 0, 3, 4, 0, 0, 3, 2, 0, 4, 3, 4, 0, 2, 0, 3, 4, 1, 3, 3, 4, 0, 2, 3, 4, 1, 0, 2, 4, 0, 4, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 4, 3, 1, 2, 2, 0, 1, 1, 1, 3, 0, 1, 4, 1, 2, 0, 0, 1, 3, 0, 0, 4, 2, 0, 3, 4, 3, 0, 3, 0, 1, 2, 4, 2, 0, 4, 4, 1, 3, 3, 4, 4, 3, 4, 2, 4, 1, 1, 1, 0, 3, 1, 1, 4, 3, 4, 3, 4, 2, 3, 4, 1, 4, 0, 4, 3, 2, 0, 2, 4, 1, 1, 3, 0, 2, 1, 1, 2, 1, 1, 1, 1, 3, 0, 1, 0, 2, 0, 1, 3, 1, 3, 4, 4, 2, 4, 3, 0, 4, 3, 0, 0, 0, 2, 2, 4, 0, 0, 4, 3, 2, 4, 1, 3, 1, 3, 1, 4, 4, 1, 1, 2, 2, 0, 4, 3, 3, 2, 3, 0, 3, 2, 3, 1, 1, 3, 2, 1, 1, 2, 4, 0, 2, 3, 0, 2, 4, 2, 2, 3, 3, 4, 4, 2, 0, 4, 3, 2, 1, 3, 0, 0, 0, 2, 0, 0, 2, 3, 4, 2, 2, 1, 1, 1, 0, 2, 1, 2, 4, 3, 3, 3, 4, 2, 3, 2, 3, 3, 4, 0, 4, 4, 4, 2, 0, 2, 2, 4, 3, 3, 3, 0, 1, 2, 3, 0, 1, 2, 2, 4, 0, 2, 0, 1, 1, 4, 2, 1, 0, 2, 0, 1, 4, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 3, 4, 0, 0, 2, 1, 4, 1, 3, 1] pubkeycol489 = [4, 0, 4, 1, 4, 0, 3, 1, 4, 3, 4, 4, 0, 0, 2, 2, 1, 2, 0, 4, 4, 0, 4, 1, 3, 4, 4, 4, 0, 4, 1, 3, 4, 1, 4, 3, 2, 2, 4, 3, 3, 3, 4, 2, 1, 4, 3, 0, 3, 4, 4, 3, 3, 2, 0, 4, 1, 2, 1, 3, 0, 0, 3, 2, 4, 2, 2, 0, 2, 1, 2, 1, 3, 3, 4, 0, 0, 1, 1, 4, 2, 4, 0, 4, 2, 3, 2, 3, 1, 0, 4, 0, 1, 2, 2, 0, 3, 4, 2, 3, 1, 2, 2, 4, 3, 2, 4, 2, 1, 4, 3, 3, 3, 1, 0, 0, 2, 4, 0, 0, 0, 3, 1, 2, 0, 0, 3, 1, 4, 4, 4, 3, 0, 3, 4, 1, 1, 3, 2, 1, 0, 2, 1, 2, 3, 4, 2, 1, 4, 4, 3, 1, 1, 1, 0, 1, 0, 3, 0, 3, 4, 1, 1, 2, 1, 3, 1, 1, 4, 2, 3, 1, 4, 3, 0, 4, 4, 2, 2, 4, 2, 2, 3, 1, 1, 2, 2, 3, 2, 1, 4, 3, 1, 4, 2, 2, 4, 1, 0, 1, 4, 2, 2, 4, 2, 2, 3, 2, 1, 3, 1, 2, 2, 4, 0, 1, 4, 0, 4, 0, 0, 3, 4, 3, 2, 2, 4, 1, 2, 3, 4, 0, 3, 2, 2, 1, 4, 4, 1, 4, 3, 3, 1, 1, 2, 3, 3, 0, 4, 2, 2, 1, 3, 1, 3, 0, 1, 1, 2, 4, 3, 2, 1, 2, 4, 2, 2, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 0, 2, 4, 2, 4, 3, 0, 1, 3, 0, 0, 2, 1, 1, 2, 4, 3, 1, 0, 4, 1, 2, 4, 1, 1, 4, 0, 4, 1, 3, 4, 3, 0, 2, 0, 4, 2, 2, 4, 3, 3, 1, 1, 0, 4, 4, 0, 1, 4, 2, 3, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 4, 3, 3, 1, 1, 4, 3, 1, 1, 0, 4, 2, 0, 0, 0, 4, 3, 1, 2, 3, 4, 2, 1, 2, 0, 1, 4, 4, 1, 2, 1, 4, 3, 1, 0, 2, 0, 4, 3, 0, 3, 1, 3, 2, 1, 1, 3, 0, 4, 1, 4, 0, 0, 2, 1, 4, 1, 1, 0, 2, 1] pubkeycol490 = [1, 4, 3, 0, 3, 4, 1, 1, 2, 1, 4, 0, 2, 3, 4, 2, 1, 3, 1, 3, 4, 1, 3, 2, 1, 4, 1, 4, 0, 1, 2, 0, 0, 3, 2, 2, 1, 2, 1, 3, 0, 0, 3, 3, 1, 0, 3, 0, 4, 0, 4, 2, 3, 3, 0, 1, 3, 1, 2, 3, 4, 0, 2, 0, 2, 1, 4, 0, 2, 0, 3, 3, 1, 4, 4, 2, 0, 4, 4, 2, 2, 1, 1, 1, 0, 3, 3, 1, 4, 1, 4, 2, 3, 2, 1, 3, 4, 3, 1, 3, 2, 3, 1, 2, 0, 3, 2, 4, 2, 2, 0, 1, 4, 1, 2, 3, 1, 4, 4, 3, 3, 0, 0, 1, 3, 0, 1, 2, 3, 4, 2, 3, 1, 3, 2, 3, 0, 3, 0, 3, 4, 4, 4, 2, 4, 3, 1, 0, 1, 0, 4, 0, 2, 3, 1, 2, 4, 3, 0, 0, 0, 1, 1, 1, 2, 2, 4, 2, 4, 4, 2, 1, 3, 2, 0, 3, 0, 0, 1, 3, 1, 0, 0, 3, 4, 0, 2, 3, 4, 3, 4, 1, 3, 1, 4, 4, 2, 1, 2, 4, 1, 4, 1, 2, 3, 0, 3, 1, 1, 4, 3, 2, 1, 1, 3, 0, 1, 2, 4, 2, 4, 4, 1, 3, 3, 2, 2, 0, 4, 3, 0, 2, 2, 1, 4, 4, 0, 1, 4, 2, 3, 4, 2, 2, 4, 1, 0, 2, 1, 1, 1, 3, 2, 2, 0, 4, 1, 0, 4, 4, 3, 2, 2, 0, 0, 1, 1, 1, 0, 3, 1, 2, 2, 1, 3, 4, 2, 4, 2, 1, 0, 4, 4, 4, 4, 1, 0, 2, 3, 2, 2, 2, 4, 3, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 0, 3, 0, 0, 1, 2, 4, 3, 0, 3, 2, 2, 2, 2, 4, 2, 1, 2, 4, 3, 1, 2, 3, 4, 3, 2, 1, 1, 4, 2, 4, 0, 0, 1, 0, 0, 2, 1, 3, 0, 0, 1, 1, 0, 0, 3, 2, 3, 1, 3, 1, 2, 0, 2, 2, 0, 4, 0, 0, 1, 2, 1, 1, 2, 3, 4, 0, 1, 0, 2, 3, 3, 0, 3, 3, 4, 4, 3, 0, 0, 4, 2, 4, 1, 1, 1, 2, 0, 3, 3, 1, 1, 0, 0, 4] pubkeycol491 = [3, 4, 0, 0, 2, 1, 0, 4, 0, 1, 0, 1, 3, 1, 1, 3, 0, 2, 4, 4, 3, 0, 2, 1, 3, 4, 4, 3, 1, 1, 0, 2, 4, 0, 2, 0, 1, 1, 3, 1, 4, 2, 3, 2, 4, 4, 4, 3, 3, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 4, 1, 3, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 4, 0, 0, 3, 4, 0, 0, 0, 0, 0, 0, 3, 3, 2, 4, 2, 4, 4, 4, 4, 1, 1, 0, 2, 1, 4, 3, 2, 0, 3, 2, 3, 1, 0, 4, 2, 4, 4, 2, 4, 0, 4, 4, 3, 1, 4, 1, 3, 0, 1, 1, 3, 2, 1, 4, 3, 0, 3, 0, 0, 1, 1, 4, 2, 2, 3, 0, 3, 0, 3, 0, 2, 2, 2, 0, 3, 3, 1, 4, 4, 1, 2, 0, 4, 2, 0, 3, 1, 0, 4, 4, 2, 0, 4, 2, 2, 4, 0, 4, 2, 4, 2, 2, 2, 4, 1, 4, 2, 0, 1, 3, 3, 0, 2, 3, 0, 0, 4, 0, 3, 1, 1, 3, 1, 0, 1, 4, 1, 3, 3, 4, 0, 3, 4, 3, 4, 2, 3, 4, 2, 0, 2, 2, 0, 4, 4, 4, 1, 1, 3, 2, 2, 1, 0, 4, 1, 4, 4, 1, 2, 2, 4, 4, 1, 4, 1, 3, 2, 3, 0, 3, 2, 3, 0, 3, 2, 1, 4, 4, 4, 2, 4, 3, 1, 4, 4, 4, 3, 3, 0, 0, 0, 1, 2, 4, 3, 0, 1, 1, 2, 0, 2, 1, 4, 4, 2, 3, 3, 1, 2, 4, 1, 0, 0, 3, 4, 4, 1, 1, 4, 4, 2, 4, 0, 3, 2, 4, 1, 1, 3, 2, 4, 4, 3, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 3, 0, 4, 2, 3, 3, 3, 0, 3, 0, 0, 2, 4, 3, 0, 0, 2, 3, 2, 4, 1, 4, 4, 3, 3, 3, 0, 2, 2, 4, 1, 2, 4, 2, 3, 4, 2, 3, 0, 3, 4, 2, 1, 0, 0, 2, 3, 1, 0, 0, 3, 1, 1, 2, 3, 4, 1, 1, 3, 3, 0, 2, 4, 1, 2, 0, 0, 4, 3, 4, 1, 0, 1, 3, 4, 3, 4, 1, 3, 1, 3, 1] pubkeycol492 = [0, 1, 3, 1, 1, 3, 4, 3, 4, 3, 3, 4, 3, 1, 4, 2, 2, 2, 3, 0, 3, 1, 0, 2, 3, 4, 2, 1, 4, 4, 0, 1, 3, 3, 2, 0, 4, 4, 2, 0, 0, 4, 0, 0, 1, 0, 3, 0, 4, 0, 4, 2, 0, 4, 3, 2, 2, 0, 2, 4, 4, 4, 3, 3, 0, 0, 3, 1, 2, 0, 2, 3, 4, 0, 1, 2, 4, 4, 2, 2, 2, 3, 2, 4, 4, 4, 0, 2, 4, 3, 1, 2, 1, 3, 1, 4, 4, 2, 0, 4, 0, 4, 3, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 3, 3, 3, 2, 2, 3, 1, 3, 3, 3, 3, 0, 4, 0, 4, 1, 2, 3, 0, 1, 1, 4, 0, 2, 0, 1, 3, 1, 4, 3, 2, 2, 3, 1, 0, 1, 0, 4, 0, 1, 3, 3, 2, 4, 4, 0, 1, 1, 2, 2, 2, 0, 0, 2, 3, 2, 2, 1, 4, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 3, 1, 2, 4, 2, 1, 4, 2, 1, 1, 3, 1, 3, 0, 4, 1, 2, 3, 3, 1, 2, 4, 2, 0, 2, 3, 0, 2, 2, 1, 3, 0, 3, 4, 1, 4, 4, 3, 4, 4, 4, 3, 4, 2, 0, 0, 0, 2, 1, 2, 0, 4, 0, 0, 0, 3, 4, 3, 4, 4, 0, 0, 3, 2, 3, 0, 0, 3, 0, 0, 4, 3, 4, 1, 1, 1, 3, 3, 1, 2, 4, 0, 4, 1, 2, 2, 0, 2, 3, 2, 1, 3, 3, 1, 1, 4, 2, 0, 1, 2, 4, 1, 1, 1, 4, 3, 4, 1, 4, 2, 4, 0, 4, 3, 2, 2, 4, 0, 0, 4, 1, 3, 1, 2, 3, 3, 3, 0, 1, 1, 3, 3, 4, 0, 1, 2, 1, 1, 1, 0, 0, 4, 1, 2, 3, 4, 3, 1, 2, 3, 1, 4, 2, 1, 0, 3, 4, 1, 3, 0, 1, 4, 3, 0, 0, 4, 1, 1, 4, 0, 4, 2, 0, 4, 0, 2, 4, 1, 4, 1, 4, 4, 4, 0, 1, 1, 4, 3, 4, 2, 2, 4, 3, 0, 4, 1, 0, 2, 0, 2, 3, 2, 3, 1, 3, 2, 4, 1, 1, 3, 0, 4, 3, 1, 2, 2, 2, 2] pubkeycol493 = [2, 2, 2, 0, 0, 0, 1, 2, 4, 1, 4, 3, 0, 3, 4, 1, 0, 0, 4, 1, 1, 3, 1, 4, 0, 2, 3, 2, 1, 2, 4, 4, 0, 3, 3, 4, 3, 3, 3, 1, 3, 2, 1, 0, 1, 4, 3, 2, 3, 3, 1, 2, 1, 2, 4, 0, 1, 4, 4, 4, 0, 4, 3, 0, 1, 4, 4, 4, 4, 1, 1, 0, 0, 4, 3, 3, 2, 2, 4, 1, 2, 4, 0, 2, 3, 4, 2, 4, 4, 0, 1, 2, 0, 1, 0, 1, 4, 0, 3, 0, 2, 0, 2, 0, 0, 4, 0, 4, 4, 1, 4, 1, 4, 1, 3, 2, 2, 4, 1, 0, 4, 1, 0, 0, 0, 2, 1, 2, 4, 2, 3, 0, 3, 4, 3, 4, 3, 4, 3, 1, 4, 4, 4, 3, 2, 3, 2, 3, 0, 0, 3, 3, 4, 3, 3, 4, 4, 0, 0, 1, 1, 1, 1, 0, 2, 0, 4, 4, 2, 3, 1, 2, 3, 2, 3, 1, 4, 2, 0, 3, 0, 4, 4, 1, 1, 0, 1, 4, 3, 4, 4, 0, 4, 2, 4, 3, 1, 0, 2, 2, 2, 3, 0, 4, 3, 4, 0, 4, 4, 3, 3, 0, 1, 1, 4, 1, 4, 1, 4, 2, 0, 1, 3, 0, 0, 3, 0, 2, 3, 3, 3, 3, 1, 1, 3, 0, 2, 4, 2, 3, 3, 2, 4, 0, 4, 2, 3, 2, 3, 1, 4, 4, 1, 2, 4, 1, 3, 3, 4, 0, 2, 4, 4, 0, 1, 3, 1, 2, 1, 1, 4, 2, 3, 1, 1, 3, 3, 4, 3, 0, 2, 1, 0, 0, 4, 4, 1, 1, 3, 1, 0, 0, 2, 0, 0, 0, 3, 2, 4, 3, 1, 1, 1, 1, 2, 4, 2, 3, 2, 2, 2, 2, 2, 0, 4, 0, 0, 3, 1, 3, 2, 4, 1, 1, 3, 4, 4, 2, 4, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 0, 1, 3, 1, 1, 4, 3, 1, 1, 4, 0, 2, 3, 3, 3, 3, 1, 4, 3, 1, 3, 4, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 4, 2, 4, 4, 0, 4, 3, 3, 3, 1, 1, 2, 2, 0, 2, 3, 0, 4, 3, 3, 1, 1, 2, 3, 2, 1, 1, 4] pubkeycol494 = [3, 3, 3, 1, 0, 2, 0, 2, 1, 0, 0, 3, 1, 4, 2, 2, 3, 3, 4, 4, 3, 0, 2, 1, 0, 3, 0, 4, 4, 2, 4, 2, 0, 0, 1, 1, 1, 4, 1, 1, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 3, 4, 2, 1, 0, 4, 4, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 4, 0, 3, 4, 2, 3, 2, 1, 0, 3, 1, 3, 4, 0, 2, 1, 2, 0, 3, 3, 4, 3, 0, 0, 4, 3, 2, 4, 3, 2, 0, 2, 3, 3, 2, 4, 1, 4, 4, 4, 4, 3, 1, 3, 0, 0, 1, 0, 1, 0, 0, 1, 3, 1, 2, 2, 0, 0, 0, 3, 2, 1, 0, 2, 1, 3, 1, 1, 4, 2, 0, 3, 3, 1, 0, 2, 0, 1, 0, 1, 1, 3, 4, 1, 1, 2, 3, 4, 3, 2, 3, 1, 4, 2, 4, 3, 3, 0, 3, 3, 2, 3, 2, 3, 4, 4, 1, 0, 0, 1, 0, 1, 0, 0, 1, 3, 4, 4, 1, 1, 4, 2, 0, 2, 4, 1, 2, 3, 0, 4, 0, 1, 0, 0, 1, 0, 3, 1, 0, 2, 2, 0, 2, 1, 0, 3, 4, 1, 3, 2, 2, 2, 3, 2, 0, 3, 0, 0, 1, 1, 0, 1, 1, 0, 3, 0, 4, 0, 4, 2, 1, 2, 0, 2, 1, 3, 0, 2, 1, 4, 2, 3, 0, 0, 0, 4, 0, 4, 4, 4, 1, 0, 4, 3, 3, 1, 4, 1, 1, 0, 0, 4, 3, 4, 3, 1, 4, 3, 2, 4, 1, 0, 1, 2, 0, 3, 1, 2, 2, 0, 4, 3, 4, 1, 1, 3, 2, 3, 2, 3, 1, 3, 1, 1, 4, 2, 3, 3, 1, 2, 0, 1, 2, 3, 3, 2, 1, 2, 2, 4, 1, 3, 3, 1, 4, 3, 3, 1, 4, 0, 4, 0, 4, 1, 1, 2, 4, 2, 4, 4, 3, 0, 1, 4, 2, 0, 3, 4, 1, 1, 1, 2, 3, 0, 3, 0, 3, 0, 0, 2, 0, 0, 1, 4, 0, 3, 0, 3, 1, 4, 3, 3, 3, 3, 0, 2, 4, 4, 3, 1, 3, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 4, 4, 1, 1, 4, 0, 3, 0, 4, 2, 0, 1] pubkeycol495 = [3, 1, 4, 1, 2, 1, 2, 4, 4, 1, 2, 1, 3, 0, 1, 4, 0, 0, 0, 1, 4, 2, 4, 4, 2, 1, 1, 0, 0, 4, 4, 3, 1, 2, 4, 1, 4, 1, 2, 4, 0, 1, 0, 2, 0, 2, 3, 2, 2, 1, 2, 1, 0, 0, 3, 4, 4, 0, 0, 3, 1, 4, 4, 1, 1, 3, 2, 0, 4, 0, 4, 3, 4, 4, 0, 1, 0, 1, 2, 2, 2, 1, 2, 4, 1, 3, 4, 0, 3, 3, 4, 0, 2, 3, 1, 1, 4, 3, 1, 3, 2, 4, 2, 4, 2, 2, 0, 1, 4, 4, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 4, 1, 1, 2, 4, 4, 3, 4, 2, 3, 1, 0, 1, 3, 2, 0, 2, 3, 4, 4, 0, 1, 0, 4, 0, 4, 3, 2, 4, 4, 0, 3, 3, 2, 4, 1, 4, 0, 0, 3, 1, 3, 2, 1, 4, 0, 1, 3, 2, 3, 1, 4, 4, 0, 1, 1, 2, 0, 0, 4, 2, 4, 2, 4, 1, 0, 3, 4, 2, 0, 1, 0, 1, 0, 2, 2, 3, 2, 4, 0, 4, 3, 3, 0, 0, 3, 3, 4, 0, 4, 0, 2, 3, 2, 4, 3, 0, 1, 0, 2, 1, 2, 4, 4, 3, 2, 3, 4, 3, 0, 1, 1, 4, 1, 1, 1, 0, 3, 0, 1, 3, 1, 2, 2, 4, 4, 3, 1, 3, 3, 3, 2, 3, 1, 0, 4, 0, 0, 0, 2, 3, 4, 0, 1, 4, 4, 0, 4, 2, 2, 4, 2, 4, 3, 0, 2, 1, 2, 2, 2, 0, 1, 3, 1, 3, 2, 3, 1, 2, 3, 3, 4, 1, 0, 0, 4, 4, 2, 3, 2, 3, 2, 2, 4, 0, 3, 1, 1, 1, 2, 1, 1, 0, 3, 1, 3, 4, 3, 2, 4, 3, 2, 1, 0, 2, 4, 2, 3, 2, 0, 4, 2, 3, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 3, 3, 0, 0, 4, 4, 3, 2, 1, 2, 2, 2, 3, 0, 3, 1, 3, 3, 2, 4, 4, 4, 2, 2, 1, 1, 3, 1, 2, 3, 1, 2, 4, 4, 1, 2, 4, 2, 4, 1, 0, 1, 2, 4, 3, 3, 1, 4, 4, 1, 3, 0, 2, 2, 1] pubkeycol496 = [3, 3, 2, 1, 2, 2, 1, 2, 4, 0, 0, 4, 4, 0, 4, 2, 2, 4, 2, 0, 1, 4, 3, 0, 0, 2, 2, 4, 4, 1, 4, 2, 4, 4, 3, 0, 0, 2, 1, 1, 3, 4, 1, 2, 1, 2, 1, 3, 0, 2, 1, 4, 0, 2, 1, 3, 2, 0, 0, 2, 1, 1, 1, 3, 4, 1, 1, 0, 4, 4, 1, 3, 2, 2, 4, 1, 4, 2, 2, 0, 3, 1, 3, 4, 4, 3, 2, 3, 4, 2, 0, 1, 2, 1, 0, 1, 1, 2, 4, 3, 1, 2, 3, 2, 1, 1, 2, 2, 1, 3, 3, 2, 2, 1, 3, 0, 3, 3, 1, 3, 1, 4, 0, 4, 3, 4, 4, 4, 1, 1, 4, 3, 4, 3, 2, 4, 0, 1, 1, 4, 4, 2, 3, 3, 3, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 3, 4, 0, 1, 0, 2, 2, 4, 1, 0, 2, 2, 0, 1, 3, 1, 1, 1, 3, 2, 2, 4, 0, 3, 0, 0, 4, 1, 4, 1, 4, 0, 2, 2, 2, 4, 2, 0, 1, 0, 2, 4, 1, 0, 0, 4, 3, 3, 0, 1, 2, 1, 4, 0, 1, 1, 1, 4, 2, 3, 2, 0, 2, 2, 2, 4, 4, 1, 4, 1, 2, 0, 0, 0, 1, 3, 4, 4, 0, 4, 1, 1, 2, 0, 2, 3, 1, 2, 0, 4, 2, 2, 0, 1, 4, 3, 3, 0, 1, 0, 1, 2, 0, 0, 3, 0, 2, 0, 2, 1, 0, 0, 0, 4, 3, 2, 2, 1, 2, 1, 0, 4, 0, 4, 1, 0, 4, 2, 3, 2, 1, 0, 2, 3, 0, 3, 1, 0, 2, 3, 3, 3, 3, 0, 1, 3, 2, 4, 0, 2, 1, 4, 3, 0, 1, 3, 1, 3, 1, 4, 3, 2, 1, 3, 3, 3, 2, 1, 1, 2, 0, 4, 3, 1, 3, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 4, 2, 0, 4, 1, 0, 3, 1, 0, 0, 1, 4, 1, 3, 0, 2, 0, 3, 4, 4, 0, 0, 1, 4, 2, 4, 1, 4, 4, 4, 1, 0, 1, 4, 1, 4, 1, 2, 4, 3, 4, 4, 3, 1, 2, 1, 2, 0, 0, 4, 1, 2, 4, 4, 3, 0, 3] pubkeycol497 = [4, 4, 2, 4, 4, 3, 2, 1, 3, 1, 1, 0, 0, 0, 2, 4, 3, 4, 4, 0, 4, 1, 0, 2, 4, 2, 0, 2, 3, 2, 0, 1, 4, 0, 3, 1, 4, 2, 4, 0, 2, 1, 1, 3, 0, 3, 1, 4, 3, 1, 4, 1, 0, 3, 2, 2, 3, 4, 3, 1, 0, 1, 4, 2, 2, 0, 1, 2, 2, 3, 4, 2, 1, 3, 4, 4, 0, 3, 2, 0, 1, 3, 2, 1, 2, 3, 0, 4, 0, 0, 3, 3, 0, 1, 0, 3, 3, 4, 3, 3, 3, 2, 4, 2, 0, 0, 4, 3, 3, 1, 3, 3, 1, 1, 4, 4, 0, 4, 1, 1, 0, 2, 4, 3, 3, 4, 1, 3, 1, 2, 0, 4, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 3, 4, 4, 3, 0, 3, 4, 4, 4, 3, 1, 2, 3, 0, 2, 2, 4, 3, 3, 3, 2, 1, 0, 0, 2, 0, 4, 3, 1, 4, 4, 2, 4, 1, 0, 0, 4, 3, 4, 1, 2, 2, 3, 0, 4, 2, 3, 0, 4, 1, 0, 0, 0, 3, 0, 4, 4, 4, 2, 4, 4, 0, 3, 4, 1, 4, 1, 2, 4, 4, 0, 3, 1, 1, 4, 1, 2, 4, 1, 1, 4, 2, 1, 1, 0, 1, 0, 2, 0, 1, 4, 0, 4, 4, 1, 0, 4, 1, 0, 2, 0, 3, 3, 1, 4, 0, 4, 0, 0, 1, 4, 4, 4, 2, 1, 0, 1, 4, 3, 1, 1, 1, 3, 4, 0, 3, 4, 4, 0, 4, 3, 1, 3, 4, 3, 3, 3, 4, 4, 3, 2, 3, 1, 3, 1, 4, 3, 0, 0, 4, 4, 1, 2, 4, 3, 1, 0, 2, 4, 1, 1, 2, 4, 4, 2, 3, 4, 4, 2, 0, 4, 4, 1, 4, 2, 3, 0, 1, 2, 2, 0, 2, 3, 1, 4, 1, 3, 2, 2, 4, 1, 2, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 2, 4, 1, 3, 0, 2, 0, 3, 0, 3, 1, 3, 4, 0, 3, 1, 3, 0, 1, 2, 3, 1, 3, 2, 4, 3, 4, 4, 4, 2, 0, 0, 1, 4, 4, 0, 3, 3, 0, 1, 3, 2, 2, 2, 3, 4, 0, 1, 2, 3, 3, 3, 3, 0] pubkeycol498 = [0, 0, 2, 2, 4, 2, 0, 3, 3, 2, 0, 2, 4, 2, 1, 2, 1, 0, 1, 4, 0, 4, 0, 0, 0, 1, 2, 1, 2, 2, 4, 0, 1, 3, 2, 3, 0, 1, 4, 1, 4, 0, 0, 3, 0, 1, 2, 4, 2, 2, 3, 4, 0, 0, 1, 3, 3, 2, 1, 0, 1, 2, 3, 2, 2, 2, 1, 2, 3, 0, 1, 1, 1, 4, 2, 0, 2, 0, 2, 0, 2, 3, 2, 0, 3, 4, 3, 0, 2, 1, 0, 2, 0, 4, 4, 3, 4, 1, 2, 1, 0, 1, 4, 2, 2, 2, 3, 0, 1, 1, 2, 3, 0, 4, 1, 1, 2, 3, 2, 0, 0, 2, 2, 4, 3, 3, 0, 4, 4, 2, 2, 3, 3, 2, 3, 0, 3, 1, 4, 3, 4, 1, 2, 0, 0, 2, 0, 4, 0, 0, 2, 2, 0, 4, 4, 0, 3, 3, 2, 2, 1, 1, 1, 1, 2, 4, 1, 0, 2, 4, 3, 2, 3, 2, 1, 2, 1, 0, 4, 2, 3, 4, 3, 0, 1, 2, 3, 0, 0, 3, 1, 3, 0, 0, 2, 1, 1, 2, 3, 4, 0, 4, 4, 3, 4, 0, 0, 4, 2, 0, 3, 1, 0, 3, 0, 4, 1, 3, 3, 3, 4, 4, 2, 4, 4, 4, 1, 3, 1, 1, 2, 1, 2, 2, 1, 4, 2, 4, 2, 4, 3, 3, 3, 1, 3, 1, 1, 0, 4, 4, 0, 2, 4, 1, 0, 1, 2, 4, 4, 2, 4, 3, 4, 0, 0, 3, 0, 1, 4, 4, 2, 1, 1, 4, 4, 3, 2, 3, 1, 2, 1, 3, 3, 1, 1, 1, 3, 2, 3, 0, 3, 0, 3, 4, 2, 1, 2, 4, 1, 1, 4, 4, 0, 1, 3, 2, 2, 2, 1, 3, 4, 0, 2, 0, 2, 3, 0, 1, 4, 1, 2, 4, 1, 1, 1, 0, 4, 4, 4, 1, 3, 1, 0, 1, 4, 0, 0, 3, 3, 3, 1, 1, 3, 3, 4, 3, 2, 2, 0, 4, 4, 3, 2, 4, 3, 3, 3, 1, 0, 1, 2, 1, 1, 3, 4, 1, 3, 2, 0, 0, 3, 2, 1, 3, 4, 0, 4, 2, 3, 3, 4, 4, 2, 4, 4, 0, 3, 2, 3, 1, 3, 4, 1, 3, 3, 4, 1, 3, 0, 2] pubkeycol499 = [2, 1, 4, 0, 3, 1, 4, 4, 1, 2, 4, 1, 2, 2, 2, 0, 1, 2, 1, 0, 4, 0, 0, 3, 4, 4, 1, 4, 0, 2, 1, 2, 1, 1, 2, 0, 0, 4, 3, 4, 2, 2, 1, 2, 1, 4, 2, 0, 4, 3, 1, 3, 0, 0, 1, 0, 0, 0, 2, 4, 4, 3, 3, 0, 4, 4, 4, 3, 4, 1, 1, 4, 2, 1, 3, 2, 2, 3, 4, 1, 4, 1, 4, 0, 3, 4, 4, 3, 1, 0, 3, 2, 2, 4, 3, 2, 2, 3, 1, 2, 4, 4, 3, 2, 3, 2, 1, 2, 1, 2, 4, 0, 2, 3, 3, 3, 1, 3, 2, 1, 3, 1, 2, 1, 2, 0, 2, 4, 4, 0, 3, 4, 0, 1, 2, 4, 1, 3, 2, 3, 3, 4, 0, 0, 4, 2, 0, 0, 4, 2, 2, 1, 2, 4, 0, 4, 2, 0, 1, 0, 4, 0, 2, 3, 4, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 3, 0, 3, 0, 3, 2, 2, 1, 4, 0, 4, 2, 4, 2, 4, 0, 4, 4, 4, 2, 0, 3, 0, 1, 3, 2, 0, 2, 2, 0, 2, 4, 0, 2, 1, 1, 4, 3, 1, 2, 3, 3, 2, 4, 4, 0, 1, 1, 0, 2, 2, 0, 3, 2, 4, 2, 2, 0, 4, 3, 3, 0, 2, 2, 3, 0, 0, 0, 0, 4, 2, 1, 0, 2, 0, 4, 0, 1, 0, 2, 0, 0, 4, 0, 2, 3, 2, 2, 1, 1, 0, 4, 4, 0, 1, 0, 4, 3, 0, 3, 3, 4, 2, 0, 0, 3, 4, 0, 2, 4, 1, 2, 1, 1, 1, 1, 3, 3, 2, 2, 0, 4, 0, 4, 2, 4, 1, 3, 3, 4, 1, 1, 2, 3, 1, 2, 0, 0, 2, 2, 3, 1, 1, 3, 4, 0, 0, 0, 4, 3, 2, 4, 4, 0, 3, 0, 0, 1, 1, 0, 1, 4, 1, 4, 2, 4, 0, 1, 4, 1, 1, 3, 1, 1, 3, 1, 3, 2, 4, 3, 0, 4, 3, 0, 2, 4, 1, 4, 2, 3, 2, 4, 3, 1, 1, 3, 0, 0, 2, 1, 0, 1, 4, 2, 4, 1, 4, 4, 0, 3, 3, 3, 1, 0, 2, 2, 3, 4, 1, 1, 0, 2, 0, 4, 3] pubkeycol500 = [4, 2, 4, 1, 3, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 3, 3, 0, 3, 3, 2, 1, 3, 1, 3, 1, 2, 0, 3, 4, 4, 3, 0, 2, 1, 1, 2, 0, 0, 2, 4, 4, 0, 3, 1, 1, 0, 1, 3, 4, 2, 0, 4, 2, 4, 2, 2, 4, 4, 3, 3, 2, 2, 1, 0, 3, 3, 0, 0, 3, 2, 0, 2, 0, 1, 0, 3, 0, 0, 4, 2, 0, 4, 1, 0, 4, 4, 2, 1, 4, 1, 0, 3, 0, 0, 2, 2, 2, 1, 4, 1, 2, 3, 0, 0, 3, 0, 0, 2, 3, 3, 0, 4, 4, 3, 0, 3, 3, 4, 0, 0, 1, 3, 2, 0, 0, 2, 1, 1, 2, 2, 4, 1, 4, 1, 2, 4, 3, 1, 0, 1, 2, 1, 1, 4, 1, 3, 1, 4, 4, 4, 4, 3, 4, 2, 2, 0, 2, 4, 0, 3, 2, 0, 4, 0, 2, 3, 3, 0, 4, 0, 0, 1, 2, 4, 0, 2, 0, 4, 3, 1, 4, 0, 2, 3, 3, 2, 1, 3, 0, 1, 1, 2, 2, 1, 0, 3, 1, 0, 3, 1, 4, 2, 1, 3, 3, 4, 0, 4, 4, 4, 0, 2, 3, 0, 1, 2, 4, 4, 4, 4, 3, 0, 2, 2, 0, 2, 4, 0, 0, 2, 3, 4, 3, 2, 2, 0, 1, 4, 1, 3, 0, 4, 4, 4, 3, 4, 2, 2, 0, 4, 2, 3, 1, 1, 2, 0, 2, 4, 0, 3, 1, 2, 4, 0, 3, 0, 0, 4, 1, 4, 0, 3, 1, 1, 4, 0, 1, 2, 1, 3, 1, 1, 2, 0, 1, 3, 0, 3, 4, 3, 4, 0, 4, 3, 1, 3, 4, 4, 3, 1, 1, 4, 1, 1, 2, 2, 0, 4, 0, 4, 0, 4, 2, 3, 0, 3, 0, 4, 0, 3, 0, 1, 1, 2, 3, 2, 0, 0, 2, 2, 4, 2, 1, 1, 4, 0, 3, 2, 3, 4, 4, 4, 4, 0, 0, 1, 2, 1, 3, 3, 0, 0, 4, 2, 0, 3, 1, 3, 0, 1, 4, 3, 3, 4, 0, 2, 4, 1, 2, 1, 2, 2, 4, 0, 2, 1, 2, 1, 2, 1, 1, 1, 4, 0, 3, 1, 2, 0, 4, 4, 1, 4, 2, 1, 4] pubkeycol501 = [0, 3, 1, 1, 1, 3, 3, 3, 3, 1, 4, 2, 1, 4, 2, 4, 0, 0, 2, 0, 3, 0, 3, 4, 0, 3, 2, 0, 4, 0, 4, 1, 1, 0, 3, 0, 4, 0, 0, 3, 2, 0, 4, 0, 3, 2, 2, 0, 3, 0, 1, 3, 1, 2, 1, 3, 2, 2, 4, 2, 0, 0, 3, 4, 4, 2, 0, 3, 4, 4, 2, 0, 2, 0, 1, 0, 4, 2, 4, 2, 1, 3, 3, 1, 0, 4, 0, 0, 3, 4, 0, 3, 1, 3, 1, 0, 2, 2, 0, 4, 1, 2, 2, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 3, 0, 1, 0, 2, 3, 4, 3, 4, 3, 1, 4, 3, 2, 4, 0, 1, 1, 3, 3, 1, 0, 4, 3, 4, 4, 4, 2, 1, 4, 4, 4, 2, 0, 4, 4, 1, 1, 0, 3, 4, 3, 1, 4, 2, 0, 4, 4, 4, 3, 3, 4, 4, 0, 0, 0, 2, 2, 3, 1, 3, 3, 4, 0, 2, 3, 2, 3, 0, 1, 2, 0, 4, 4, 2, 2, 0, 0, 0, 1, 1, 4, 1, 0, 2, 4, 4, 0, 1, 2, 1, 2, 1, 2, 0, 4, 3, 4, 2, 0, 2, 0, 1, 4, 0, 0, 0, 3, 4, 3, 0, 2, 1, 2, 3, 4, 2, 2, 0, 2, 2, 2, 4, 2, 1, 3, 2, 0, 0, 1, 2, 4, 2, 2, 0, 0, 2, 4, 1, 4, 0, 0, 3, 1, 2, 0, 0, 3, 2, 1, 1, 3, 3, 4, 2, 4, 1, 1, 1, 2, 0, 4, 0, 1, 4, 2, 1, 3, 3, 0, 3, 2, 3, 1, 3, 3, 1, 2, 4, 0, 0, 4, 1, 2, 2, 1, 1, 0, 4, 2, 0, 1, 4, 3, 4, 3, 1, 2, 2, 0, 4, 3, 2, 4, 1, 3, 2, 1, 1, 2, 3, 0, 0, 1, 0, 1, 3, 3, 2, 2, 1, 4, 4, 3, 0, 2, 2, 4, 1, 4, 1, 0, 3, 2, 0, 1, 3, 0, 0, 2, 3, 2, 1, 2, 2, 3, 3, 0, 0, 4, 0, 2, 4, 2, 3, 1, 3, 4, 4, 3, 4, 0, 2, 0, 2, 4, 1, 0, 0, 1, 4, 2, 1, 3, 1, 3, 1, 0, 4, 3, 4, 0, 2, 2, 4, 1, 0] pubkeycol502 = [3, 2, 1, 4, 0, 4, 3, 1, 1, 4, 1, 3, 0, 4, 4, 3, 4, 1, 4, 4, 2, 1, 3, 3, 4, 4, 4, 1, 2, 0, 3, 2, 1, 4, 4, 1, 2, 4, 2, 1, 2, 0, 3, 2, 0, 3, 2, 0, 0, 2, 2, 3, 1, 0, 4, 1, 2, 1, 3, 2, 1, 3, 4, 3, 3, 0, 4, 3, 2, 3, 1, 3, 0, 3, 2, 3, 2, 2, 2, 3, 0, 2, 2, 2, 3, 0, 1, 2, 4, 1, 4, 3, 3, 4, 0, 0, 3, 2, 1, 4, 1, 2, 2, 2, 4, 3, 2, 0, 2, 2, 1, 1, 2, 1, 0, 3, 1, 2, 2, 2, 4, 3, 2, 1, 4, 1, 2, 0, 1, 3, 3, 0, 2, 4, 4, 4, 4, 2, 0, 4, 2, 2, 1, 1, 0, 3, 4, 2, 3, 0, 1, 3, 3, 2, 3, 4, 0, 4, 2, 0, 3, 4, 0, 1, 1, 4, 4, 2, 3, 4, 0, 4, 2, 1, 4, 1, 3, 1, 4, 0, 0, 3, 2, 0, 2, 1, 0, 3, 0, 0, 0, 3, 3, 0, 1, 0, 4, 0, 4, 3, 0, 2, 2, 1, 0, 1, 2, 3, 1, 1, 1, 0, 1, 2, 1, 1, 3, 4, 2, 0, 3, 4, 4, 2, 2, 4, 2, 2, 2, 1, 3, 4, 2, 1, 0, 1, 3, 0, 3, 0, 2, 4, 0, 4, 1, 0, 2, 2, 2, 2, 1, 2, 0, 4, 4, 4, 0, 1, 0, 4, 3, 1, 0, 2, 4, 0, 1, 2, 0, 0, 0, 3, 1, 4, 3, 1, 3, 1, 0, 1, 3, 0, 1, 0, 0, 4, 1, 3, 2, 0, 1, 1, 4, 1, 3, 1, 3, 0, 1, 3, 1, 4, 4, 0, 0, 3, 2, 2, 4, 3, 2, 1, 2, 3, 0, 2, 1, 0, 1, 2, 0, 2, 2, 3, 2, 2, 3, 4, 4, 1, 3, 2, 1, 0, 1, 2, 2, 0, 3, 1, 0, 2, 3, 3, 4, 4, 3, 3, 0, 3, 2, 4, 3, 2, 1, 2, 4, 0, 4, 4, 3, 2, 1, 2, 1, 2, 3, 4, 4, 3, 1, 4, 1, 4, 4, 0, 2, 2, 2, 4, 0, 1, 1, 1, 1, 2, 1, 3, 2, 3, 0, 2, 2, 3, 2, 3, 3, 4, 3, 1] pubkeycol503 = [4, 0, 0, 4, 3, 0, 1, 4, 1, 1, 1, 2, 3, 4, 2, 2, 3, 2, 2, 3, 0, 3, 4, 0, 2, 3, 2, 3, 1, 3, 3, 4, 2, 2, 4, 3, 3, 1, 0, 4, 0, 1, 3, 2, 1, 1, 1, 4, 4, 2, 1, 4, 2, 0, 1, 0, 0, 3, 1, 3, 0, 2, 1, 4, 4, 2, 2, 4, 0, 4, 2, 3, 0, 0, 4, 1, 4, 1, 3, 3, 3, 4, 1, 1, 3, 0, 3, 2, 4, 3, 0, 3, 4, 3, 3, 1, 2, 1, 2, 3, 2, 2, 3, 2, 4, 4, 3, 3, 0, 0, 1, 4, 3, 2, 4, 1, 3, 1, 1, 4, 1, 0, 1, 2, 2, 2, 1, 2, 3, 0, 0, 0, 4, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 4, 1, 4, 0, 0, 4, 4, 4, 0, 1, 3, 0, 4, 4, 3, 1, 3, 2, 1, 1, 4, 1, 2, 3, 0, 3, 4, 1, 0, 4, 2, 0, 4, 3, 4, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 4, 4, 3, 2, 1, 3, 4, 4, 1, 2, 2, 4, 0, 0, 3, 0, 3, 0, 3, 2, 1, 0, 4, 0, 1, 3, 3, 1, 0, 0, 1, 2, 2, 0, 0, 3, 0, 1, 0, 0, 3, 0, 4, 2, 2, 1, 1, 3, 0, 0, 2, 1, 4, 1, 4, 2, 2, 4, 2, 1, 2, 3, 4, 0, 2, 2, 4, 3, 0, 4, 0, 3, 2, 3, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 3, 3, 4, 0, 3, 3, 1, 0, 3, 4, 4, 2, 2, 3, 0, 1, 0, 3, 0, 0, 2, 1, 4, 2, 1, 2, 2, 2, 1, 3, 3, 0, 1, 1, 0, 0, 0, 1, 0, 3, 2, 3, 2, 1, 2, 1, 2, 3, 1, 3, 0, 4, 4, 0, 2, 4, 4, 1, 0, 0, 1, 2, 2, 3, 4, 4, 4, 1, 4, 4, 1, 3, 2, 3, 2, 3, 1, 4, 0, 0, 4, 3, 3, 3, 4, 4, 3, 4, 0, 2, 4, 4, 2, 1, 2, 3, 4, 0, 2, 1, 1, 2, 4, 1, 3, 2, 4, 2, 0, 1, 3, 2, 2, 0, 4, 1, 2, 3, 1, 3, 1, 2] pubkeycol504 = [1, 4, 1, 3, 2, 3, 3, 4, 4, 3, 0, 1, 0, 0, 0, 2, 0, 1, 3, 3, 1, 1, 3, 1, 4, 3, 0, 3, 0, 1, 4, 0, 3, 0, 3, 0, 4, 2, 4, 0, 2, 3, 1, 2, 3, 2, 2, 0, 0, 2, 2, 4, 3, 2, 1, 1, 2, 4, 3, 0, 4, 2, 2, 2, 1, 3, 3, 4, 1, 4, 4, 1, 3, 4, 0, 0, 3, 1, 2, 0, 2, 4, 2, 0, 3, 3, 4, 1, 3, 1, 4, 1, 1, 2, 4, 0, 1, 4, 1, 1, 2, 4, 2, 2, 3, 2, 1, 4, 4, 0, 1, 3, 2, 4, 1, 0, 1, 0, 4, 1, 4, 1, 4, 2, 0, 2, 2, 1, 4, 4, 1, 4, 0, 4, 3, 0, 1, 4, 2, 1, 1, 4, 2, 3, 4, 3, 3, 1, 4, 1, 2, 4, 4, 3, 1, 0, 3, 4, 4, 1, 3, 4, 3, 1, 3, 0, 4, 2, 0, 3, 0, 0, 1, 0, 1, 2, 1, 3, 4, 3, 2, 1, 0, 4, 1, 0, 2, 0, 0, 3, 3, 3, 0, 2, 2, 3, 1, 0, 2, 3, 3, 0, 3, 0, 0, 4, 2, 3, 4, 2, 2, 1, 2, 2, 4, 3, 4, 2, 0, 0, 2, 3, 4, 4, 2, 4, 2, 1, 1, 4, 3, 1, 3, 4, 0, 3, 0, 3, 1, 0, 4, 1, 1, 2, 0, 4, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 0, 4, 1, 1, 4, 1, 1, 3, 0, 0, 3, 1, 4, 4, 4, 2, 2, 2, 4, 0, 4, 2, 0, 2, 1, 3, 4, 2, 3, 4, 4, 4, 0, 0, 0, 2, 4, 3, 4, 3, 4, 0, 2, 4, 1, 2, 0, 3, 4, 1, 4, 4, 2, 3, 3, 2, 4, 0, 1, 0, 0, 4, 2, 1, 3, 0, 2, 3, 0, 3, 3, 1, 2, 3, 3, 0, 0, 1, 2, 2, 3, 2, 0, 0, 0, 4, 3, 0, 4, 3, 2, 2, 3, 3, 1, 2, 1, 0, 3, 4, 2, 1, 0, 3, 2, 3, 4, 1, 3, 3, 4, 0, 2, 4, 2, 2, 4, 1, 1, 4, 3, 4, 2, 4, 0, 3, 1, 3, 4, 3, 0, 1, 4, 4, 0, 3, 3, 3, 0, 4, 3, 1, 2] pubkeycol505 = [0, 3, 2, 0, 4, 3, 4, 0, 3, 1, 1, 1, 4, 4, 4, 4, 4, 3, 3, 4, 1, 1, 4, 3, 1, 3, 3, 0, 4, 0, 0, 4, 3, 0, 4, 3, 0, 4, 1, 2, 1, 2, 3, 0, 4, 0, 3, 0, 3, 4, 0, 2, 2, 3, 2, 1, 4, 0, 1, 0, 4, 3, 4, 4, 3, 0, 4, 2, 0, 3, 2, 0, 1, 1, 3, 1, 2, 0, 3, 3, 1, 3, 2, 0, 1, 4, 0, 2, 1, 2, 3, 1, 3, 0, 2, 4, 4, 0, 0, 3, 1, 4, 1, 4, 0, 2, 2, 3, 4, 1, 2, 3, 0, 3, 4, 4, 2, 2, 1, 1, 4, 0, 1, 0, 0, 1, 4, 2, 1, 0, 3, 2, 2, 1, 1, 4, 2, 4, 2, 1, 4, 0, 1, 3, 4, 2, 1, 3, 4, 4, 4, 4, 2, 0, 4, 0, 0, 0, 4, 3, 0, 4, 2, 0, 0, 4, 1, 0, 0, 1, 2, 2, 4, 1, 0, 1, 4, 3, 2, 0, 3, 4, 1, 2, 0, 3, 4, 2, 0, 3, 2, 4, 0, 3, 0, 0, 0, 1, 2, 1, 3, 3, 0, 1, 0, 1, 0, 4, 2, 1, 0, 0, 0, 0, 0, 4, 4, 3, 3, 0, 3, 3, 4, 4, 3, 1, 1, 0, 1, 3, 3, 2, 4, 1, 2, 4, 4, 3, 2, 0, 1, 4, 3, 0, 0, 4, 3, 2, 3, 2, 1, 1, 2, 1, 4, 2, 2, 0, 4, 4, 3, 2, 4, 3, 4, 1, 3, 2, 4, 4, 3, 4, 4, 1, 1, 1, 4, 2, 0, 0, 2, 3, 2, 2, 0, 2, 4, 0, 4, 2, 2, 0, 4, 0, 2, 3, 3, 1, 4, 4, 4, 0, 1, 3, 3, 3, 1, 3, 4, 2, 2, 3, 4, 0, 3, 2, 1, 1, 4, 2, 3, 3, 2, 1, 2, 2, 0, 2, 2, 3, 0, 4, 4, 3, 2, 2, 2, 3, 4, 1, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 1, 0, 1, 4, 1, 4, 2, 1, 3, 4, 3, 3, 1, 1, 4, 1, 4, 2, 0, 1, 0, 2, 0, 2, 3, 0, 0, 0, 1, 3, 2, 4, 4, 4, 3, 1, 3, 1, 3, 4, 0, 0, 2, 4, 3, 1, 1, 1] pubkeycol506 = [4, 0, 2, 4, 1, 2, 4, 1, 2, 2, 4, 3, 1, 0, 4, 4, 4, 2, 1, 1, 1, 2, 0, 1, 1, 2, 4, 2, 4, 1, 3, 4, 0, 3, 0, 0, 2, 2, 1, 4, 0, 3, 4, 4, 1, 3, 4, 0, 0, 4, 2, 4, 1, 2, 4, 0, 0, 2, 0, 4, 0, 4, 0, 2, 2, 0, 2, 1, 4, 1, 2, 1, 0, 3, 0, 0, 0, 0, 1, 4, 3, 3, 3, 1, 2, 4, 2, 0, 4, 2, 2, 2, 0, 4, 0, 4, 0, 1, 4, 1, 3, 3, 2, 2, 4, 1, 2, 3, 1, 3, 3, 2, 3, 4, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 3, 2, 1, 3, 0, 4, 4, 3, 4, 0, 3, 4, 2, 0, 4, 4, 4, 4, 3, 2, 0, 4, 3, 0, 1, 3, 2, 0, 1, 4, 0, 1, 1, 2, 2, 0, 1, 2, 2, 4, 1, 1, 3, 1, 1, 4, 1, 3, 0, 3, 3, 1, 3, 3, 4, 4, 2, 2, 1, 2, 0, 2, 3, 1, 1, 2, 3, 0, 3, 1, 3, 3, 0, 3, 3, 0, 0, 1, 0, 3, 1, 4, 2, 1, 4, 1, 2, 2, 4, 4, 1, 4, 2, 0, 4, 3, 2, 0, 1, 2, 3, 3, 1, 1, 4, 2, 3, 2, 0, 4, 2, 4, 2, 2, 4, 1, 3, 2, 1, 1, 2, 1, 3, 2, 4, 2, 3, 1, 4, 3, 0, 2, 2, 2, 3, 1, 1, 1, 2, 3, 4, 4, 2, 3, 2, 4, 0, 3, 1, 4, 0, 0, 1, 0, 2, 3, 2, 2, 4, 0, 1, 3, 1, 1, 0, 2, 0, 3, 3, 2, 0, 2, 1, 4, 2, 3, 1, 3, 0, 2, 0, 2, 3, 2, 1, 3, 1, 1, 1, 2, 1, 3, 0, 2, 3, 3, 0, 1, 3, 2, 0, 4, 0, 2, 4, 1, 3, 2, 0, 3, 0, 1, 1, 2, 1, 3, 4, 0, 1, 1, 0, 2, 3, 4, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 1, 1, 3, 3, 3, 4, 0, 3, 3, 3, 1, 2, 4, 1, 1, 1, 3, 1, 2, 4, 0, 0, 3, 3, 3, 4, 4, 0, 3, 2, 2, 2, 1, 0, 4, 1, 0, 3, 1, 2] pubkeycol507 = [1, 0, 4, 2, 3, 0, 0, 0, 1, 3, 0, 1, 2, 4, 4, 1, 3, 4, 1, 2, 1, 0, 1, 2, 2, 4, 4, 1, 0, 3, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 3, 3, 1, 1, 4, 4, 3, 1, 1, 2, 2, 3, 3, 3, 1, 1, 2, 3, 2, 4, 4, 0, 4, 1, 4, 0, 4, 2, 3, 2, 0, 0, 4, 2, 3, 0, 4, 1, 2, 2, 3, 0, 2, 3, 0, 3, 0, 1, 2, 3, 2, 3, 1, 4, 1, 4, 4, 0, 4, 3, 2, 1, 4, 3, 0, 0, 2, 4, 0, 4, 2, 4, 1, 2, 4, 3, 0, 2, 1, 4, 1, 1, 1, 1, 4, 3, 0, 0, 1, 4, 3, 3, 3, 2, 4, 0, 2, 4, 0, 1, 1, 2, 1, 0, 1, 4, 3, 1, 3, 0, 2, 0, 2, 0, 3, 3, 3, 2, 1, 1, 4, 1, 1, 4, 1, 3, 0, 1, 1, 2, 2, 4, 0, 4, 1, 3, 2, 4, 4, 3, 4, 4, 3, 2, 3, 4, 2, 0, 0, 3, 4, 4, 0, 3, 4, 0, 2, 3, 4, 0, 4, 3, 1, 1, 1, 4, 1, 4, 4, 4, 2, 3, 0, 3, 2, 2, 4, 2, 4, 2, 0, 0, 3, 0, 4, 0, 0, 0, 1, 0, 0, 0, 2, 3, 2, 2, 3, 0, 2, 0, 3, 2, 4, 0, 4, 1, 4, 3, 0, 3, 0, 2, 2, 3, 4, 2, 4, 1, 0, 2, 3, 2, 0, 3, 3, 0, 1, 1, 4, 4, 4, 0, 3, 0, 3, 3, 1, 1, 3, 1, 4, 2, 1, 1, 2, 0, 3, 1, 4, 4, 1, 3, 1, 2, 3, 0, 1, 0, 3, 3, 2, 0, 1, 4, 2, 1, 2, 3, 2, 3, 1, 1, 1, 0, 0, 1, 1, 1, 1, 4, 1, 0, 4, 2, 3, 0, 2, 1, 3, 1, 1, 3, 2, 3, 4, 1, 4, 1, 0, 1, 0, 3, 0, 0, 0, 3, 0, 1, 0, 3, 3, 3, 2, 1, 4, 2, 4, 4, 0, 1, 4, 3, 4, 0, 0, 1, 4, 2, 4, 1, 0, 3, 4, 1, 0, 0, 0, 2, 0, 3, 4, 4, 1, 0, 3, 2, 4, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 3, 1, 4] pubkeycol508 = [4, 4, 3, 2, 4, 1, 4, 2, 2, 0, 1, 2, 3, 0, 4, 3, 1, 2, 0, 3, 4, 4, 1, 4, 2, 0, 0, 1, 0, 4, 1, 2, 4, 4, 1, 1, 1, 4, 2, 1, 3, 0, 4, 4, 3, 1, 0, 0, 0, 3, 3, 0, 2, 3, 1, 3, 1, 2, 4, 1, 1, 4, 3, 0, 3, 2, 1, 1, 4, 0, 1, 2, 1, 3, 1, 0, 1, 3, 1, 0, 4, 3, 1, 2, 4, 1, 2, 3, 3, 2, 0, 2, 3, 0, 1, 2, 3, 3, 4, 1, 4, 0, 2, 2, 1, 0, 4, 1, 3, 0, 4, 1, 1, 3, 3, 4, 2, 3, 0, 3, 3, 3, 2, 4, 0, 2, 0, 3, 4, 4, 2, 3, 3, 4, 0, 0, 1, 2, 1, 4, 4, 1, 2, 4, 3, 0, 2, 4, 2, 4, 1, 0, 3, 3, 4, 0, 2, 3, 4, 3, 4, 0, 2, 3, 0, 0, 1, 3, 2, 2, 2, 2, 4, 3, 2, 0, 1, 1, 2, 4, 0, 4, 0, 0, 1, 2, 0, 0, 4, 0, 4, 0, 0, 3, 3, 2, 1, 1, 3, 1, 4, 3, 2, 3, 3, 2, 4, 1, 3, 4, 4, 0, 4, 0, 3, 2, 0, 3, 0, 1, 1, 4, 0, 3, 1, 0, 2, 4, 2, 0, 3, 2, 4, 4, 3, 4, 4, 0, 2, 1, 2, 3, 3, 3, 2, 3, 4, 3, 4, 4, 2, 1, 3, 2, 1, 2, 2, 4, 4, 0, 2, 1, 0, 2, 2, 3, 4, 0, 2, 3, 3, 2, 0, 0, 1, 2, 0, 0, 2, 3, 1, 0, 4, 3, 4, 4, 4, 1, 3, 4, 3, 2, 2, 0, 0, 3, 3, 2, 2, 0, 3, 3, 2, 0, 0, 4, 2, 0, 0, 2, 0, 2, 4, 0, 4, 4, 3, 0, 3, 1, 2, 2, 1, 3, 0, 1, 2, 2, 2, 2, 0, 3, 1, 2, 0, 4, 0, 3, 0, 3, 3, 2, 3, 1, 2, 3, 1, 0, 4, 0, 3, 2, 3, 2, 3, 4, 2, 2, 3, 4, 2, 0, 0, 0, 1, 3, 1, 3, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 3, 4, 1, 2, 4, 4, 3, 4, 1, 4, 1, 4, 3, 0, 2, 2, 4, 3, 0, 0, 4, 2] pubkeycol509 = [4, 2, 1, 0, 1, 3, 4, 0, 4, 2, 2, 3, 4, 3, 1, 2, 1, 1, 2, 4, 3, 1, 2, 2, 1, 3, 4, 4, 0, 2, 3, 1, 1, 1, 1, 0, 3, 2, 4, 3, 2, 1, 4, 0, 4, 0, 2, 1, 4, 3, 3, 4, 1, 4, 1, 3, 0, 2, 3, 4, 1, 4, 4, 1, 2, 1, 1, 1, 4, 4, 3, 1, 3, 2, 4, 3, 0, 4, 4, 1, 4, 3, 0, 1, 2, 3, 0, 1, 2, 1, 2, 4, 4, 2, 0, 3, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 4, 1, 2, 0, 0, 4, 1, 1, 1, 2, 2, 3, 4, 2, 1, 2, 1, 2, 4, 2, 3, 3, 2, 2, 2, 4, 2, 1, 3, 3, 3, 1, 0, 0, 1, 0, 1, 3, 4, 1, 0, 2, 2, 0, 4, 1, 1, 3, 1, 0, 3, 1, 3, 3, 4, 1, 2, 3, 3, 2, 4, 2, 2, 4, 2, 1, 1, 2, 3, 4, 0, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 0, 4, 2, 4, 0, 4, 3, 3, 3, 0, 1, 4, 0, 0, 4, 2, 4, 4, 3, 1, 1, 1, 1, 3, 4, 1, 0, 4, 4, 2, 0, 3, 1, 3, 2, 2, 1, 1, 0, 0, 1, 3, 4, 1, 4, 3, 4, 3, 4, 2, 0, 0, 2, 0, 2, 0, 4, 1, 2, 3, 4, 0, 3, 2, 0, 1, 1, 4, 2, 3, 4, 3, 2, 2, 3, 3, 3, 1, 4, 1, 0, 4, 2, 3, 1, 1, 2, 2, 1, 1, 4, 3, 1, 3, 2, 3, 3, 3, 1, 4, 3, 3, 4, 1, 0, 1, 2, 2, 3, 4, 0, 0, 2, 3, 1, 2, 4, 3, 3, 3, 0, 3, 3, 3, 1, 1, 4, 3, 1, 2, 4, 4, 3, 2, 3, 2, 2, 0, 1, 1, 2, 4, 3, 3, 2, 0, 4, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 4, 3, 2, 3, 0, 1, 1, 2, 1, 1, 4, 0, 0, 4, 0, 0, 0, 1, 1, 4, 3, 1, 2, 1, 2, 4, 2, 2, 2, 3, 0, 1, 2, 2, 1, 0, 3, 1, 1, 4, 4, 1, 0, 4, 2, 4, 1, 3, 1, 0, 0] pubkeycol510 = [1, 3, 2, 1, 2, 4, 4, 2, 4, 0, 3, 2, 4, 1, 3, 2, 4, 2, 0, 4, 1, 0, 4, 0, 0, 2, 2, 2, 0, 4, 0, 2, 0, 3, 1, 3, 0, 4, 0, 0, 1, 3, 0, 3, 3, 0, 4, 2, 4, 1, 3, 3, 4, 3, 3, 4, 1, 0, 2, 3, 2, 3, 3, 4, 0, 0, 2, 3, 1, 4, 2, 4, 0, 4, 4, 0, 4, 1, 3, 1, 1, 2, 3, 0, 2, 3, 4, 4, 4, 0, 2, 0, 2, 2, 3, 4, 4, 4, 0, 3, 2, 1, 3, 2, 0, 4, 4, 0, 0, 4, 3, 0, 0, 4, 1, 1, 1, 4, 3, 4, 4, 2, 1, 2, 1, 0, 3, 2, 1, 3, 0, 1, 0, 2, 0, 1, 4, 3, 2, 4, 2, 3, 4, 0, 2, 1, 0, 3, 0, 2, 2, 4, 2, 1, 3, 1, 4, 1, 0, 3, 0, 1, 1, 0, 3, 2, 2, 0, 3, 2, 2, 1, 1, 4, 3, 1, 3, 4, 0, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 0, 3, 3, 2, 3, 3, 0, 4, 2, 0, 0, 3, 4, 4, 2, 4, 1, 1, 1, 3, 2, 4, 4, 1, 0, 1, 0, 4, 0, 2, 1, 0, 3, 0, 1, 3, 0, 0, 2, 2, 1, 1, 2, 4, 1, 3, 3, 4, 3, 2, 1, 1, 2, 2, 1, 2, 2, 1, 4, 3, 2, 2, 4, 3, 0, 1, 2, 4, 2, 3, 0, 4, 3, 3, 1, 2, 2, 4, 0, 0, 3, 4, 1, 2, 3, 1, 1, 0, 0, 2, 4, 1, 1, 4, 1, 2, 0, 3, 3, 0, 4, 0, 0, 1, 2, 2, 1, 0, 3, 2, 3, 0, 3, 1, 3, 2, 1, 1, 0, 0, 1, 4, 1, 2, 4, 2, 3, 4, 4, 0, 4, 2, 3, 0, 3, 3, 0, 4, 2, 3, 0, 2, 0, 1, 4, 0, 0, 2, 4, 1, 3, 1, 0, 2, 3, 0, 3, 1, 1, 3, 3, 3, 3, 1, 2, 1, 4, 1, 1, 3, 3, 2, 4, 0, 4, 2, 2, 4, 2, 2, 1, 3, 1, 1, 1, 1, 3, 4, 4, 2, 1, 4, 1, 4, 0, 0, 0, 0, 4, 3, 2, 4, 4, 0, 2, 2, 3, 3, 2, 4, 2] pubkeycol511 = [1, 0, 4, 4, 0, 4, 0, 1, 4, 0, 0, 4, 2, 1, 1, 0, 1, 0, 4, 4, 1, 0, 0, 0, 3, 0, 3, 4, 4, 3, 4, 1, 0, 0, 4, 2, 2, 4, 3, 2, 3, 1, 0, 2, 3, 0, 2, 0, 0, 1, 1, 4, 2, 0, 4, 0, 2, 2, 4, 3, 1, 2, 0, 4, 4, 2, 1, 1, 2, 2, 0, 3, 2, 1, 0, 1, 4, 3, 1, 2, 3, 4, 3, 3, 2, 2, 4, 0, 1, 3, 1, 0, 1, 3, 2, 1, 4, 3, 4, 3, 4, 1, 0, 4, 0, 3, 3, 0, 1, 1, 1, 0, 3, 4, 4, 4, 4, 4, 0, 3, 0, 2, 2, 4, 0, 2, 0, 4, 4, 1, 4, 1, 2, 2, 1, 4, 3, 3, 4, 3, 1, 0, 4, 1, 0, 1, 0, 3, 0, 4, 1, 1, 2, 4, 4, 1, 2, 2, 0, 4, 0, 3, 2, 4, 4, 4, 2, 0, 0, 3, 2, 1, 4, 4, 2, 4, 2, 1, 0, 1, 0, 1, 1, 4, 4, 0, 1, 3, 0, 4, 0, 2, 1, 3, 1, 3, 2, 0, 3, 2, 2, 4, 4, 4, 0, 2, 0, 4, 2, 4, 3, 2, 0, 1, 0, 1, 0, 0, 3, 1, 0, 2, 1, 2, 2, 0, 3, 2, 1, 1, 2, 3, 1, 2, 2, 2, 1, 0, 1, 1, 0, 3, 2, 4, 0, 3, 0, 4, 1, 2, 0, 1, 0, 3, 2, 2, 0, 0, 2, 2, 4, 0, 4, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 4, 4, 2, 4, 2, 4, 3, 0, 0, 4, 1, 1, 0, 1, 4, 3, 1, 0, 3, 2, 3, 2, 2, 3, 3, 0, 3, 4, 2, 1, 2, 3, 2, 1, 4, 1, 3, 0, 0, 0, 2, 3, 0, 0, 0, 0, 4, 1, 3, 4, 3, 1, 2, 4, 2, 3, 2, 2, 0, 2, 2, 0, 4, 4, 3, 2, 2, 2, 3, 0, 0, 0, 3, 1, 0, 2, 0, 0, 0, 0, 1, 3, 4, 3, 3, 3, 1, 3, 4, 4, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 3, 0, 3, 3, 4, 4, 4, 2, 0, 2, 4, 4, 2, 4, 2, 1, 3, 3, 4, 2, 1, 2] pubkeycol512 = [4, 4, 4, 3, 3, 3, 4, 0, 2, 3, 2, 3, 4, 4, 0, 2, 1, 0, 4, 1, 4, 3, 0, 0, 3, 3, 0, 1, 4, 1, 0, 2, 1, 0, 4, 3, 1, 4, 0, 4, 1, 1, 1, 4, 4, 0, 0, 4, 2, 0, 0, 4, 0, 0, 4, 4, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 4, 2, 3, 3, 1, 1, 0, 1, 2, 3, 2, 2, 1, 4, 0, 1, 1, 2, 4, 0, 4, 3, 1, 3, 3, 3, 4, 1, 4, 1, 3, 2, 2, 3, 3, 2, 1, 3, 4, 0, 0, 0, 4, 2, 1, 4, 3, 2, 4, 3, 1, 2, 3, 0, 4, 4, 0, 0, 1, 2, 4, 3, 1, 0, 0, 4, 2, 2, 1, 1, 1, 4, 0, 3, 3, 3, 4, 2, 1, 3, 4, 4, 4, 1, 2, 2, 1, 0, 1, 3, 4, 4, 1, 1, 4, 2, 1, 0, 0, 1, 4, 3, 4, 3, 0, 3, 4, 0, 3, 0, 1, 2, 0, 1, 3, 3, 0, 0, 1, 1, 4, 0, 3, 3, 0, 3, 1, 1, 0, 0, 1, 4, 2, 3, 3, 1, 1, 0, 2, 3, 3, 0, 3, 1, 2, 4, 2, 4, 3, 2, 1, 1, 0, 3, 4, 3, 1, 2, 1, 4, 0, 2, 4, 1, 3, 1, 3, 0, 1, 0, 3, 0, 2, 3, 4, 1, 1, 1, 4, 4, 0, 0, 3, 4, 3, 1, 2, 4, 0, 3, 4, 1, 3, 4, 1, 0, 3, 3, 1, 4, 3, 0, 0, 1, 1, 3, 1, 2, 0, 4, 2, 2, 4, 3, 1, 1, 2, 1, 4, 2, 3, 3, 4, 0, 1, 1, 1, 0, 3, 0, 2, 4, 1, 0, 3, 1, 0, 2, 3, 2, 3, 1, 0, 0, 2, 0, 3, 0, 1, 2, 2, 2, 4, 3, 0, 2, 2, 1, 4, 1, 3, 4, 1, 1, 3, 1, 1, 2, 3, 0, 0, 2, 4, 3, 0, 0, 2, 2, 4, 1, 1, 3, 3, 3, 3, 1, 0, 4, 3, 1, 4, 0, 3, 2, 2, 2, 1, 0, 0, 3, 0, 3, 1, 4, 1, 0, 0, 3, 2, 0, 0, 4, 0, 2, 4, 1, 3, 0, 0, 1, 4, 0, 3, 2, 4, 1, 4, 4, 1, 4, 2, 3, 2] pubkeycol513 = [1, 1, 1, 3, 0, 1, 2, 3, 1, 1, 3, 0, 0, 0, 1, 4, 1, 1, 0, 3, 3, 2, 4, 0, 3, 1, 2, 4, 4, 0, 1, 4, 4, 3, 3, 1, 1, 4, 2, 0, 2, 0, 3, 0, 2, 3, 0, 1, 3, 3, 1, 0, 4, 2, 0, 2, 2, 0, 3, 2, 1, 2, 2, 0, 2, 2, 4, 2, 1, 3, 0, 2, 4, 3, 2, 1, 0, 0, 1, 3, 4, 0, 2, 1, 1, 0, 4, 4, 2, 4, 4, 2, 2, 2, 1, 1, 4, 2, 1, 1, 4, 2, 0, 4, 2, 2, 0, 4, 2, 1, 3, 2, 3, 1, 2, 3, 2, 0, 4, 2, 0, 1, 4, 2, 1, 0, 1, 2, 0, 3, 0, 2, 2, 2, 4, 4, 3, 3, 3, 2, 0, 4, 3, 3, 2, 0, 1, 4, 0, 3, 0, 4, 2, 4, 4, 4, 3, 3, 0, 1, 2, 3, 0, 1, 4, 1, 0, 4, 4, 0, 2, 2, 3, 2, 1, 2, 1, 2, 3, 0, 4, 3, 1, 1, 3, 3, 3, 2, 2, 4, 3, 3, 4, 0, 4, 0, 3, 1, 1, 4, 3, 3, 0, 4, 1, 2, 2, 0, 1, 0, 0, 3, 0, 2, 2, 0, 1, 1, 4, 3, 3, 2, 1, 3, 3, 0, 4, 1, 0, 1, 0, 2, 1, 4, 3, 0, 0, 4, 3, 1, 3, 2, 4, 2, 1, 4, 3, 0, 2, 0, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 3, 3, 3, 0, 0, 2, 0, 2, 3, 2, 2, 3, 2, 3, 2, 3, 4, 4, 2, 4, 1, 0, 0, 3, 1, 0, 0, 0, 2, 0, 4, 4, 1, 0, 2, 4, 4, 1, 3, 2, 4, 0, 1, 3, 0, 3, 2, 3, 1, 2, 3, 0, 3, 4, 2, 1, 0, 1, 3, 1, 4, 0, 2, 0, 1, 4, 2, 0, 0, 3, 1, 0, 4, 1, 4, 1, 2, 3, 4, 0, 1, 2, 2, 0, 2, 0, 4, 2, 3, 1, 0, 3, 2, 1, 2, 2, 3, 3, 4, 3, 3, 0, 0, 2, 2, 1, 3, 0, 3, 0, 1, 3, 4, 2, 4, 2, 1, 4, 4, 4, 3, 4, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 4, 1, 4] pubkeycol514 = [3, 0, 4, 0, 1, 2, 4, 4, 3, 0, 3, 0, 2, 0, 3, 0, 1, 1, 1, 1, 4, 4, 2, 0, 3, 3, 4, 0, 0, 2, 4, 1, 0, 0, 2, 0, 3, 0, 1, 2, 4, 2, 0, 1, 4, 0, 4, 4, 2, 4, 4, 0, 0, 1, 3, 2, 1, 1, 2, 1, 3, 2, 2, 0, 4, 4, 3, 3, 4, 1, 0, 4, 3, 4, 4, 0, 2, 0, 2, 3, 4, 1, 1, 1, 2, 3, 4, 3, 2, 1, 2, 0, 4, 3, 3, 1, 1, 2, 4, 1, 1, 1, 3, 1, 2, 1, 4, 4, 0, 4, 0, 0, 1, 3, 0, 3, 3, 2, 3, 3, 4, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 2, 1, 4, 4, 3, 4, 2, 2, 1, 2, 2, 3, 4, 0, 2, 0, 3, 1, 1, 4, 0, 1, 4, 1, 4, 1, 1, 0, 2, 3, 3, 3, 1, 0, 4, 4, 3, 0, 0, 4, 0, 3, 1, 0, 3, 0, 3, 4, 0, 4, 2, 0, 1, 0, 2, 4, 3, 3, 3, 1, 0, 2, 4, 4, 3, 2, 4, 3, 2, 1, 1, 2, 1, 0, 4, 4, 1, 3, 2, 3, 1, 1, 2, 2, 1, 3, 1, 2, 2, 0, 3, 3, 1, 1, 3, 1, 1, 1, 3, 4, 0, 1, 3, 1, 0, 3, 0, 4, 1, 2, 3, 4, 3, 0, 3, 4, 1, 1, 2, 4, 2, 4, 1, 1, 0, 0, 4, 2, 2, 0, 1, 4, 4, 2, 2, 1, 3, 3, 4, 3, 0, 0, 4, 2, 0, 3, 1, 4, 0, 0, 4, 2, 0, 4, 1, 3, 4, 4, 2, 0, 4, 2, 1, 1, 0, 2, 1, 2, 3, 3, 3, 0, 2, 2, 2, 3, 2, 3, 3, 0, 0, 4, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 0, 3, 2, 2, 0, 4, 4, 3, 1, 2, 1, 0, 2, 2, 2, 4, 1, 1, 3, 0, 3, 2, 4, 4, 2, 2, 1, 2, 2, 4, 0, 2, 1, 0, 1, 0, 4, 4, 2, 2, 1, 1, 3, 1, 2, 3, 3, 1, 4, 2, 4, 2, 2, 1, 0, 0, 4, 0, 2, 4, 2, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 3, 3, 4] pubkeycol515 = [4, 2, 4, 1, 4, 2, 2, 3, 4, 0, 1, 2, 2, 0, 1, 4, 4, 0, 0, 0, 3, 0, 0, 1, 4, 0, 1, 1, 4, 3, 1, 0, 2, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 1, 1, 2, 0, 3, 3, 0, 3, 2, 4, 4, 3, 3, 4, 0, 1, 4, 4, 2, 1, 1, 3, 2, 2, 1, 4, 0, 2, 4, 2, 0, 0, 3, 4, 2, 0, 2, 2, 4, 2, 2, 0, 1, 3, 3, 3, 0, 2, 1, 3, 1, 1, 1, 3, 1, 4, 2, 1, 2, 3, 4, 1, 0, 4, 4, 1, 3, 4, 0, 2, 4, 3, 2, 3, 1, 2, 2, 0, 3, 3, 4, 3, 3, 1, 0, 1, 3, 4, 1, 2, 1, 2, 4, 4, 3, 2, 0, 4, 1, 2, 4, 3, 3, 3, 2, 4, 2, 2, 4, 4, 0, 4, 2, 3, 0, 2, 1, 2, 2, 3, 3, 1, 2, 2, 4, 0, 3, 4, 2, 0, 1, 4, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 3, 3, 0, 4, 4, 3, 0, 3, 3, 2, 2, 4, 3, 0, 1, 4, 1, 0, 1, 0, 1, 0, 4, 1, 2, 4, 2, 1, 4, 4, 4, 3, 2, 1, 4, 1, 2, 3, 3, 2, 3, 3, 2, 2, 4, 1, 1, 3, 2, 2, 0, 4, 0, 4, 0, 0, 4, 3, 2, 4, 0, 3, 1, 2, 0, 4, 4, 1, 1, 3, 3, 3, 1, 4, 2, 4, 2, 0, 1, 0, 4, 0, 4, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 4, 1, 0, 4, 3, 0, 4, 0, 1, 0, 0, 0, 1, 0, 3, 1, 2, 1, 3, 1, 0, 0, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 3, 1, 1, 2, 3, 1, 4, 4, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 4, 1, 0, 0, 3, 4, 2, 0, 0, 4, 3, 4, 4, 2, 3, 1, 4, 2, 3, 2, 4, 0, 3, 2, 2, 2, 0, 1, 1, 3, 2, 4, 1, 1, 2, 4, 0, 0, 3, 2, 0, 1, 3, 3, 4, 1, 3, 4, 2, 0, 3, 1, 3, 0, 1, 3, 2, 4, 4, 1] pubkeycol516 = [0, 4, 1, 1, 4, 4, 0, 1, 1, 3, 2, 1, 1, 4, 3, 0, 0, 3, 1, 4, 3, 3, 4, 3, 0, 4, 4, 0, 3, 1, 2, 0, 1, 3, 1, 3, 3, 4, 4, 4, 0, 3, 2, 0, 1, 1, 2, 0, 3, 2, 4, 3, 3, 2, 1, 3, 1, 2, 0, 1, 4, 4, 2, 2, 4, 1, 4, 4, 3, 3, 1, 4, 3, 1, 0, 1, 2, 4, 1, 3, 2, 4, 4, 4, 2, 3, 4, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 3, 4, 1, 2, 2, 4, 0, 0, 4, 0, 4, 4, 0, 3, 0, 3, 4, 0, 3, 1, 3, 3, 3, 0, 2, 2, 1, 1, 2, 3, 3, 0, 3, 4, 0, 0, 2, 0, 0, 2, 0, 3, 2, 1, 2, 1, 1, 0, 3, 4, 3, 1, 1, 0, 2, 4, 4, 3, 3, 2, 2, 2, 2, 2, 4, 1, 2, 4, 2, 1, 1, 3, 4, 1, 3, 0, 0, 2, 2, 1, 0, 4, 2, 1, 2, 2, 1, 2, 0, 1, 2, 4, 2, 3, 3, 1, 0, 1, 3, 1, 1, 4, 0, 1, 4, 2, 4, 0, 0, 4, 3, 3, 1, 1, 4, 1, 2, 4, 1, 2, 0, 2, 1, 2, 1, 4, 2, 4, 0, 0, 3, 0, 0, 2, 0, 2, 0, 3, 4, 1, 3, 1, 1, 1, 4, 3, 1, 2, 3, 4, 1, 0, 3, 1, 3, 4, 1, 1, 4, 3, 0, 0, 2, 4, 0, 2, 3, 2, 4, 3, 0, 3, 1, 4, 1, 2, 0, 2, 4, 3, 2, 1, 1, 0, 4, 3, 1, 0, 4, 0, 0, 0, 1, 2, 0, 3, 2, 1, 1, 4, 2, 2, 0, 1, 2, 4, 2, 0, 4, 4, 1, 3, 2, 1, 4, 0, 1, 3, 0, 1, 3, 4, 4, 3, 3, 2, 1, 4, 4, 1, 3, 4, 0, 0, 4, 2, 2, 0, 4, 1, 4, 2, 3, 0, 1, 2, 3, 4, 1, 4, 0, 2, 0, 3, 2, 3, 0, 4, 0, 1, 3, 0, 0, 4, 2, 2, 3, 1, 3, 2, 3, 2, 1, 0, 4, 1, 3, 3, 3, 3, 1, 1, 3, 1, 3, 1, 2, 1, 2, 4, 0, 3, 2, 2, 1, 1, 2, 3, 0, 1, 1, 2, 0] pubkeycol517 = [2, 2, 0, 3, 4, 2, 1, 1, 2, 2, 1, 4, 3, 0, 0, 1, 2, 3, 1, 3, 0, 3, 3, 1, 0, 3, 3, 0, 3, 1, 2, 1, 4, 4, 0, 1, 0, 4, 2, 4, 2, 0, 2, 2, 1, 3, 0, 3, 3, 1, 2, 2, 0, 4, 1, 0, 3, 4, 3, 2, 0, 4, 1, 4, 0, 2, 1, 4, 4, 4, 1, 4, 1, 3, 3, 4, 4, 0, 2, 3, 1, 4, 2, 0, 4, 0, 2, 4, 0, 4, 2, 2, 4, 4, 2, 3, 0, 0, 1, 2, 3, 4, 2, 4, 2, 3, 2, 3, 0, 1, 1, 4, 2, 2, 4, 0, 4, 1, 0, 1, 3, 0, 2, 3, 1, 1, 2, 0, 1, 4, 4, 2, 3, 1, 1, 1, 0, 0, 2, 1, 2, 1, 3, 1, 1, 1, 4, 4, 3, 0, 3, 3, 1, 1, 0, 2, 3, 0, 3, 2, 0, 2, 2, 3, 4, 3, 0, 1, 4, 4, 0, 2, 0, 1, 3, 3, 4, 1, 4, 0, 1, 4, 0, 3, 4, 2, 3, 0, 2, 3, 0, 0, 3, 2, 4, 4, 3, 1, 2, 0, 2, 4, 4, 4, 3, 4, 0, 4, 0, 4, 0, 4, 0, 1, 0, 0, 3, 2, 4, 2, 1, 2, 3, 2, 0, 1, 1, 1, 3, 0, 1, 1, 4, 3, 3, 2, 2, 2, 0, 4, 0, 0, 3, 2, 4, 2, 1, 0, 4, 1, 2, 0, 2, 0, 2, 3, 4, 2, 1, 3, 1, 0, 2, 0, 3, 3, 4, 3, 3, 0, 2, 4, 1, 2, 2, 0, 1, 1, 0, 2, 3, 1, 3, 4, 1, 2, 2, 1, 0, 4, 2, 3, 3, 0, 2, 1, 0, 4, 0, 2, 3, 0, 1, 3, 2, 1, 2, 2, 3, 3, 4, 3, 4, 0, 1, 2, 3, 3, 3, 4, 4, 4, 0, 2, 4, 4, 2, 0, 1, 1, 4, 0, 1, 0, 3, 0, 1, 4, 2, 3, 0, 2, 0, 1, 1, 3, 0, 3, 4, 3, 0, 3, 4, 2, 3, 2, 0, 1, 1, 0, 4, 4, 4, 4, 2, 4, 3, 2, 1, 0, 3, 2, 4, 2, 2, 3, 3, 0, 3, 4, 1, 0, 3, 0, 0, 4, 0, 2, 4, 0, 0, 2, 2, 1, 0, 3, 0, 2, 0, 2] pubkeycol518 = [1, 4, 4, 2, 4, 2, 3, 0, 0, 1, 0, 4, 2, 2, 0, 1, 1, 1, 0, 1, 4, 1, 4, 4, 4, 1, 3, 2, 1, 3, 0, 1, 2, 0, 2, 0, 3, 1, 0, 4, 1, 3, 1, 3, 3, 1, 2, 1, 3, 1, 2, 0, 0, 2, 3, 3, 3, 4, 4, 0, 2, 3, 0, 0, 4, 3, 2, 3, 3, 2, 4, 4, 3, 3, 1, 4, 3, 4, 2, 3, 2, 2, 3, 2, 1, 4, 2, 3, 3, 3, 4, 4, 3, 0, 3, 2, 4, 3, 1, 3, 0, 4, 3, 4, 0, 1, 3, 0, 3, 3, 0, 0, 4, 0, 0, 2, 0, 0, 3, 0, 2, 1, 4, 3, 2, 2, 1, 0, 2, 1, 0, 1, 4, 3, 0, 3, 0, 2, 1, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 2, 4, 1, 2, 3, 1, 2, 0, 3, 4, 4, 0, 0, 3, 3, 1, 4, 1, 2, 4, 0, 2, 1, 1, 2, 2, 4, 1, 2, 3, 3, 3, 0, 3, 2, 1, 3, 2, 1, 3, 2, 0, 3, 2, 4, 3, 4, 4, 4, 1, 4, 4, 1, 0, 0, 4, 4, 1, 2, 2, 0, 4, 0, 2, 1, 3, 1, 2, 1, 0, 1, 2, 4, 0, 4, 3, 3, 4, 3, 3, 0, 0, 4, 2, 0, 4, 3, 3, 1, 0, 0, 2, 0, 0, 3, 3, 3, 2, 1, 0, 4, 4, 3, 0, 4, 4, 1, 1, 3, 3, 1, 3, 1, 4, 4, 0, 3, 3, 2, 1, 4, 2, 1, 4, 0, 1, 3, 0, 1, 1, 4, 2, 1, 0, 2, 2, 1, 2, 3, 1, 0, 4, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 4, 2, 0, 0, 0, 0, 1, 4, 0, 1, 3, 2, 3, 0, 2, 3, 1, 0, 4, 1, 0, 4, 2, 1, 1, 0, 4, 4, 0, 0, 3, 3, 0, 0, 4, 0, 4, 2, 2, 0, 4, 4, 4, 1, 4, 1, 2, 2, 1, 4, 1, 1, 1, 0, 0, 4, 4, 0, 1, 2, 1, 0, 2, 1, 0, 3, 1, 0, 3, 4, 2, 3, 0, 4, 1, 3, 0, 2, 2, 2, 3, 3, 3, 1, 0, 2, 2, 0, 0, 1, 2, 4, 4] pubkeycol519 = [3, 0, 3, 2, 3, 3, 3, 4, 3, 1, 3, 3, 0, 4, 1, 1, 0, 3, 1, 4, 4, 1, 4, 0, 2, 4, 2, 0, 4, 2, 1, 2, 1, 0, 1, 3, 0, 2, 0, 0, 1, 3, 2, 3, 2, 3, 0, 3, 1, 3, 4, 4, 4, 0, 2, 3, 4, 1, 3, 0, 4, 1, 1, 3, 0, 4, 4, 4, 2, 2, 0, 0, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 4, 2, 0, 1, 4, 4, 4, 2, 3, 3, 2, 2, 2, 0, 2, 0, 1, 1, 3, 4, 0, 1, 4, 0, 0, 2, 3, 2, 0, 1, 2, 3, 0, 0, 3, 2, 0, 4, 3, 1, 4, 4, 4, 0, 4, 3, 3, 3, 4, 3, 4, 1, 4, 0, 1, 3, 3, 2, 2, 2, 2, 2, 4, 0, 0, 3, 0, 1, 0, 3, 1, 3, 3, 4, 1, 0, 1, 2, 1, 0, 1, 0, 2, 3, 0, 2, 2, 2, 0, 0, 1, 0, 3, 2, 3, 1, 3, 3, 0, 4, 1, 2, 4, 4, 4, 1, 2, 1, 2, 1, 4, 1, 3, 4, 0, 2, 0, 2, 4, 1, 0, 4, 0, 1, 2, 0, 2, 3, 1, 0, 0, 4, 4, 2, 4, 1, 1, 4, 0, 0, 2, 1, 4, 2, 4, 2, 1, 2, 1, 0, 4, 2, 3, 4, 4, 4, 4, 0, 3, 1, 3, 2, 2, 0, 1, 1, 4, 3, 0, 4, 3, 1, 2, 4, 4, 1, 1, 2, 3, 4, 4, 3, 1, 0, 4, 1, 2, 4, 1, 1, 3, 3, 2, 0, 3, 3, 3, 0, 4, 0, 1, 1, 0, 3, 1, 3, 0, 4, 4, 2, 0, 2, 3, 3, 1, 0, 1, 4, 4, 1, 3, 2, 4, 2, 1, 3, 2, 3, 1, 2, 3, 1, 0, 0, 0, 4, 2, 4, 1, 0, 1, 0, 1, 4, 1, 4, 1, 0, 4, 0, 4, 1, 3, 2, 3, 3, 2, 1, 0, 0, 4, 2, 2, 0, 4, 1, 4, 1, 1, 2, 0, 3, 4, 3, 0, 0, 3, 2, 2, 3, 2, 4, 4, 2, 0, 2, 1, 0, 4, 4, 2, 4, 3, 2, 0, 2, 4, 0, 2, 4, 0, 3, 1, 0, 0, 1, 1, 2, 1, 3, 3, 4, 0, 2, 1] pubkeycol520 = [4, 1, 4, 0, 4, 1, 2, 4, 2, 3, 4, 2, 4, 2, 2, 4, 2, 4, 1, 4, 3, 3, 3, 3, 4, 3, 0, 4, 3, 4, 2, 1, 3, 1, 3, 2, 4, 4, 1, 4, 4, 2, 4, 2, 4, 4, 3, 4, 3, 0, 2, 2, 4, 3, 0, 3, 3, 2, 2, 1, 2, 4, 2, 1, 3, 3, 1, 3, 1, 3, 2, 2, 3, 4, 4, 1, 0, 4, 2, 1, 3, 3, 0, 2, 3, 0, 0, 1, 3, 2, 2, 4, 1, 4, 3, 2, 1, 2, 1, 1, 2, 1, 4, 3, 1, 4, 1, 0, 3, 4, 3, 3, 1, 0, 1, 0, 4, 3, 1, 1, 1, 2, 0, 1, 2, 2, 4, 0, 0, 4, 4, 0, 2, 2, 1, 2, 2, 0, 4, 4, 2, 3, 2, 1, 3, 1, 0, 0, 2, 1, 0, 0, 1, 3, 0, 2, 1, 4, 3, 2, 3, 1, 2, 0, 2, 4, 1, 0, 2, 2, 0, 3, 3, 3, 4, 1, 2, 2, 2, 3, 2, 4, 1, 4, 4, 4, 4, 4, 3, 1, 0, 3, 0, 1, 3, 2, 2, 2, 4, 3, 4, 0, 2, 3, 0, 4, 4, 2, 4, 3, 2, 0, 0, 1, 3, 2, 4, 0, 4, 0, 2, 4, 0, 2, 0, 3, 0, 4, 2, 4, 0, 4, 4, 4, 0, 2, 3, 2, 0, 0, 1, 4, 2, 0, 1, 2, 0, 4, 4, 2, 4, 1, 4, 2, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 1, 4, 1, 1, 0, 1, 2, 3, 4, 1, 2, 4, 1, 0, 0, 2, 1, 2, 1, 2, 0, 4, 0, 3, 2, 0, 3, 0, 4, 3, 3, 4, 4, 3, 3, 1, 4, 4, 1, 1, 0, 3, 0, 2, 1, 1, 4, 0, 1, 1, 3, 0, 2, 3, 1, 1, 4, 2, 0, 4, 0, 3, 0, 4, 0, 1, 0, 2, 1, 2, 3, 0, 1, 2, 3, 1, 3, 1, 2, 2, 4, 2, 4, 3, 4, 4, 1, 0, 2, 0, 4, 2, 3, 3, 3, 4, 1, 4, 1, 0, 4, 2, 0, 4, 2, 2, 1, 2, 4, 3, 0, 2, 2, 2, 3, 0, 4, 3, 4, 2, 2, 2, 4, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 3] pubkeycol521 = [2, 2, 4, 0, 3, 3, 1, 1, 3, 2, 0, 3, 3, 3, 0, 0, 1, 4, 2, 3, 3, 1, 3, 1, 2, 4, 2, 0, 4, 3, 0, 1, 3, 3, 0, 3, 4, 0, 3, 3, 4, 1, 1, 0, 3, 3, 4, 4, 3, 4, 3, 4, 3, 2, 4, 4, 0, 1, 2, 1, 3, 1, 0, 0, 4, 1, 4, 1, 2, 2, 1, 0, 4, 0, 0, 2, 2, 2, 0, 3, 2, 2, 4, 1, 1, 1, 2, 3, 3, 3, 0, 4, 0, 0, 3, 3, 4, 0, 2, 4, 1, 2, 3, 2, 2, 0, 3, 0, 2, 0, 4, 2, 1, 0, 0, 1, 1, 4, 3, 0, 2, 0, 1, 0, 1, 1, 3, 2, 0, 1, 4, 4, 2, 3, 3, 4, 4, 1, 2, 1, 2, 3, 3, 2, 3, 1, 3, 0, 4, 4, 2, 2, 1, 1, 4, 0, 2, 0, 2, 1, 4, 0, 0, 4, 1, 0, 4, 3, 2, 3, 3, 0, 0, 3, 4, 1, 2, 4, 1, 4, 2, 0, 0, 3, 4, 0, 4, 2, 1, 1, 4, 3, 3, 3, 0, 0, 0, 1, 4, 2, 0, 4, 2, 2, 0, 3, 4, 4, 1, 4, 4, 3, 2, 4, 3, 0, 2, 4, 2, 0, 2, 3, 4, 1, 0, 3, 2, 4, 2, 3, 2, 2, 2, 1, 3, 2, 0, 1, 2, 0, 4, 0, 3, 1, 4, 2, 4, 3, 2, 1, 3, 1, 4, 0, 1, 3, 1, 3, 3, 3, 2, 2, 2, 1, 3, 3, 3, 4, 4, 0, 4, 2, 2, 2, 4, 0, 2, 4, 1, 2, 0, 1, 4, 0, 1, 1, 1, 3, 2, 0, 2, 3, 0, 3, 2, 2, 4, 4, 0, 3, 1, 3, 4, 4, 4, 4, 0, 3, 3, 4, 1, 1, 2, 0, 2, 1, 1, 2, 0, 3, 1, 2, 1, 3, 3, 2, 0, 3, 1, 2, 2, 2, 3, 1, 4, 3, 0, 0, 3, 2, 4, 3, 4, 3, 0, 4, 1, 0, 0, 3, 1, 4, 0, 2, 4, 3, 0, 1, 3, 1, 1, 2, 3, 2, 0, 0, 4, 0, 0, 4, 1, 0, 1, 0, 4, 1, 3, 4, 2, 2, 2, 4, 2, 3, 4, 2, 1, 4, 0, 2, 3, 4, 2, 4, 0, 3, 3, 1, 4, 0] pubkeycol522 = [1, 1, 0, 3, 0, 4, 0, 0, 4, 1, 1, 0, 3, 1, 1, 0, 3, 4, 3, 1, 1, 4, 4, 4, 3, 4, 0, 2, 4, 1, 4, 3, 4, 3, 4, 1, 4, 1, 0, 1, 0, 4, 0, 4, 4, 4, 0, 1, 2, 4, 1, 0, 1, 1, 4, 0, 3, 4, 0, 1, 4, 3, 3, 2, 2, 2, 0, 2, 3, 0, 1, 0, 1, 1, 2, 2, 1, 3, 4, 0, 4, 0, 0, 3, 1, 2, 2, 0, 2, 4, 0, 3, 1, 4, 3, 4, 0, 3, 4, 1, 0, 0, 1, 4, 4, 0, 4, 2, 3, 2, 1, 3, 2, 1, 3, 3, 0, 3, 0, 3, 2, 0, 4, 0, 3, 1, 1, 2, 2, 1, 2, 3, 0, 3, 0, 4, 0, 2, 2, 1, 3, 2, 1, 1, 3, 4, 0, 0, 1, 2, 1, 4, 2, 0, 0, 2, 4, 3, 3, 2, 4, 3, 0, 3, 4, 1, 4, 3, 1, 1, 0, 4, 4, 3, 1, 4, 1, 4, 1, 0, 1, 4, 0, 4, 0, 1, 2, 2, 4, 4, 0, 0, 1, 2, 0, 4, 2, 3, 2, 0, 2, 1, 4, 3, 2, 4, 3, 4, 3, 3, 1, 3, 4, 4, 0, 4, 4, 1, 4, 4, 4, 2, 1, 3, 1, 1, 1, 3, 2, 3, 2, 2, 1, 4, 0, 3, 3, 3, 0, 1, 1, 4, 2, 4, 3, 3, 3, 1, 2, 3, 4, 1, 2, 0, 4, 4, 2, 3, 1, 1, 4, 0, 4, 0, 0, 3, 1, 3, 1, 1, 0, 1, 1, 1, 3, 4, 0, 3, 2, 4, 0, 2, 4, 0, 1, 0, 2, 3, 3, 4, 4, 0, 0, 3, 4, 4, 0, 4, 1, 4, 2, 1, 0, 4, 1, 0, 2, 3, 1, 3, 4, 1, 1, 4, 0, 4, 1, 3, 3, 1, 3, 1, 4, 0, 2, 0, 2, 2, 3, 4, 3, 1, 2, 1, 1, 3, 3, 0, 3, 1, 4, 2, 2, 4, 4, 0, 0, 3, 2, 0, 3, 2, 0, 1, 0, 4, 0, 4, 3, 4, 0, 3, 3, 1, 3, 1, 3, 2, 4, 3, 2, 0, 1, 2, 2, 1, 3, 2, 1, 4, 1, 4, 1, 3, 1, 4, 0, 2, 4, 2, 4, 0, 2, 3, 2, 1, 1, 4, 0, 4] pubkeycol523 = [3, 1, 2, 4, 2, 4, 0, 4, 3, 1, 0, 0, 1, 4, 4, 0, 4, 3, 2, 0, 1, 4, 1, 4, 3, 2, 4, 0, 4, 2, 3, 4, 1, 2, 3, 0, 2, 0, 3, 4, 0, 4, 3, 2, 4, 0, 4, 0, 4, 1, 3, 3, 4, 2, 3, 0, 3, 4, 1, 1, 4, 2, 0, 2, 4, 2, 4, 3, 3, 1, 2, 3, 1, 4, 1, 0, 4, 3, 1, 3, 4, 3, 4, 3, 1, 3, 2, 3, 1, 4, 3, 2, 4, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 4, 0, 3, 2, 1, 3, 1, 4, 4, 0, 2, 3, 4, 0, 3, 2, 2, 4, 3, 0, 2, 2, 1, 0, 0, 0, 3, 2, 0, 0, 4, 3, 3, 2, 1, 0, 4, 0, 4, 2, 0, 1, 3, 0, 1, 2, 2, 2, 3, 1, 4, 2, 1, 4, 3, 3, 3, 4, 2, 0, 0, 2, 3, 2, 3, 2, 2, 4, 0, 2, 0, 0, 4, 4, 2, 4, 4, 2, 1, 2, 2, 2, 1, 1, 0, 4, 3, 3, 3, 2, 2, 1, 4, 2, 1, 1, 1, 3, 3, 4, 2, 1, 4, 4, 2, 1, 4, 2, 0, 3, 2, 3, 4, 0, 3, 0, 2, 3, 1, 3, 1, 4, 2, 0, 3, 3, 1, 3, 1, 3, 0, 2, 4, 0, 4, 4, 3, 4, 1, 4, 3, 0, 2, 0, 0, 4, 4, 2, 3, 1, 4, 4, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 3, 1, 3, 3, 3, 3, 2, 1, 4, 0, 2, 3, 0, 3, 4, 1, 3, 4, 0, 3, 3, 0, 0, 2, 0, 0, 3, 0, 4, 0, 0, 2, 3, 1, 0, 3, 0, 2, 2, 3, 4, 2, 1, 3, 1, 3, 2, 3, 1, 4, 2, 2, 2, 0, 3, 1, 4, 1, 1, 1, 2, 1, 2, 2, 4, 4, 2, 2, 2, 2, 0, 4, 4, 3, 0, 1, 4, 4, 3, 0, 2, 4, 2, 3, 2, 4, 4, 3, 3, 1, 3, 0, 3, 2, 0, 1, 1, 3, 2, 0, 4, 1, 3, 1, 4, 3, 0, 3, 4, 0, 2, 0, 2, 4, 3, 3, 2, 2, 1, 1, 4, 4, 3, 4, 2, 4, 3, 4, 3, 3, 4, 2, 4, 1, 4] pubkeycol524 = [3, 2, 0, 1, 0, 2, 1, 1, 3, 4, 0, 1, 1, 0, 3, 3, 1, 3, 3, 3, 1, 1, 3, 3, 1, 0, 4, 4, 3, 1, 0, 3, 0, 3, 2, 3, 4, 0, 2, 1, 3, 1, 2, 3, 0, 3, 3, 0, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 4, 1, 3, 0, 1, 0, 0, 3, 2, 4, 4, 4, 1, 0, 4, 4, 4, 1, 2, 4, 3, 3, 1, 2, 2, 0, 2, 3, 4, 3, 3, 0, 0, 4, 3, 1, 0, 1, 0, 2, 2, 0, 2, 4, 0, 4, 3, 4, 1, 3, 2, 0, 4, 4, 4, 1, 2, 3, 1, 0, 4, 2, 4, 0, 3, 4, 4, 3, 0, 3, 4, 0, 3, 3, 4, 3, 3, 0, 3, 4, 1, 2, 2, 3, 2, 0, 3, 1, 0, 2, 3, 1, 4, 3, 2, 2, 0, 0, 1, 0, 4, 3, 1, 1, 2, 0, 2, 3, 4, 0, 1, 0, 1, 0, 3, 4, 0, 4, 1, 1, 0, 0, 4, 2, 2, 4, 3, 4, 1, 0, 0, 1, 3, 1, 3, 2, 3, 4, 4, 4, 2, 0, 1, 0, 0, 1, 1, 4, 1, 4, 1, 4, 0, 3, 4, 3, 1, 1, 4, 0, 3, 1, 1, 2, 0, 0, 1, 3, 0, 2, 4, 2, 0, 2, 4, 2, 4, 0, 2, 2, 1, 3, 3, 2, 1, 3, 0, 0, 2, 4, 2, 3, 4, 0, 3, 4, 0, 2, 3, 1, 4, 4, 3, 2, 1, 1, 3, 3, 3, 4, 4, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 0, 4, 0, 0, 2, 2, 1, 1, 3, 1, 0, 3, 1, 0, 0, 1, 4, 4, 0, 2, 2, 0, 1, 2, 0, 2, 2, 3, 2, 4, 0, 0, 0, 3, 4, 2, 2, 3, 4, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 3, 0, 1, 0, 4, 1, 0, 4, 1, 3, 2, 1, 0, 1, 4, 3, 4, 3, 1, 2, 3, 4, 2, 1, 4, 3, 4, 2, 4, 0, 3, 4, 3, 2, 3, 1, 3, 1, 3, 4, 3, 0, 3, 2, 4, 0, 1, 4, 1, 0, 2, 1, 0, 3, 4, 1, 0, 0, 3, 0, 1, 3, 4, 0, 0, 1, 4, 2, 2] pubkeycol525 = [0, 0, 1, 4, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 3, 1, 0, 2, 2, 3, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 4, 4, 0, 3, 2, 3, 3, 2, 4, 0, 2, 4, 4, 1, 3, 0, 4, 4, 2, 0, 0, 4, 2, 0, 1, 3, 2, 3, 1, 3, 3, 3, 3, 4, 3, 1, 0, 4, 2, 0, 4, 3, 2, 4, 4, 0, 1, 0, 0, 2, 4, 2, 1, 2, 1, 2, 4, 1, 3, 1, 1, 2, 3, 3, 4, 3, 4, 3, 4, 1, 0, 3, 2, 4, 3, 3, 3, 1, 1, 2, 0, 4, 4, 1, 2, 4, 1, 3, 3, 4, 4, 4, 0, 1, 3, 2, 1, 1, 4, 2, 3, 1, 4, 2, 0, 0, 1, 0, 1, 4, 0, 2, 4, 2, 1, 0, 2, 0, 3, 1, 2, 1, 1, 4, 3, 1, 4, 2, 2, 0, 2, 2, 0, 4, 4, 1, 0, 0, 4, 0, 3, 3, 1, 3, 3, 1, 2, 4, 2, 3, 1, 2, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 4, 0, 4, 2, 2, 1, 3, 1, 1, 0, 2, 4, 2, 4, 3, 2, 0, 3, 1, 0, 4, 0, 3, 2, 2, 3, 0, 3, 1, 0, 0, 1, 2, 4, 3, 4, 1, 0, 3, 0, 2, 1, 4, 3, 2, 0, 2, 3, 3, 1, 0, 2, 2, 3, 4, 4, 1, 0, 2, 4, 0, 1, 1, 4, 2, 3, 2, 4, 3, 2, 2, 3, 4, 2, 3, 2, 3, 2, 2, 2, 1, 4, 3, 2, 3, 4, 0, 4, 3, 2, 1, 2, 0, 1, 2, 4, 4, 0, 4, 2, 0, 1, 3, 1, 1, 2, 2, 1, 4, 4, 0, 1, 2, 0, 2, 0, 1, 4, 3, 0, 0, 2, 3, 2, 0, 2, 3, 3, 3, 3, 2, 3, 3, 0, 2, 4, 0, 4, 4, 4, 1, 1, 2, 2, 0, 2, 4, 1, 4, 2, 0, 4, 2, 1, 2, 0, 3, 0, 2, 1, 4, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 4, 4, 1, 3, 0, 0, 4, 1, 0, 2, 2, 4, 3, 2, 1, 2, 2, 0, 1, 3, 0, 0] pubkeycol526 = [4, 1, 4, 4, 0, 4, 0, 0, 4, 4, 3, 0, 4, 3, 0, 2, 1, 0, 2, 1, 3, 3, 4, 4, 4, 1, 2, 4, 3, 0, 0, 2, 3, 2, 2, 0, 3, 1, 2, 4, 1, 0, 1, 1, 3, 2, 1, 4, 0, 1, 0, 4, 1, 2, 4, 4, 1, 2, 2, 3, 3, 4, 1, 2, 2, 4, 1, 1, 4, 0, 1, 3, 4, 1, 0, 0, 4, 3, 4, 3, 3, 1, 4, 1, 3, 1, 4, 1, 4, 4, 1, 3, 4, 3, 3, 3, 4, 3, 2, 0, 0, 3, 4, 1, 2, 2, 3, 1, 0, 1, 1, 2, 4, 1, 2, 0, 4, 3, 4, 0, 2, 4, 1, 1, 0, 2, 0, 3, 4, 3, 3, 2, 3, 3, 4, 2, 3, 3, 2, 2, 2, 4, 4, 1, 3, 1, 2, 0, 4, 2, 4, 3, 2, 4, 4, 4, 3, 0, 3, 0, 4, 3, 0, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 2, 2, 1, 2, 2, 3, 2, 4, 2, 0, 2, 0, 2, 0, 4, 3, 0, 3, 0, 1, 3, 2, 0, 0, 3, 1, 3, 2, 3, 2, 1, 2, 1, 1, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 1, 2, 1, 1, 1, 3, 3, 4, 1, 1, 2, 1, 2, 1, 2, 4, 2, 2, 0, 4, 0, 4, 0, 3, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 3, 1, 4, 4, 4, 0, 0, 1, 3, 2, 0, 3, 0, 2, 1, 1, 3, 3, 4, 0, 3, 4, 3, 4, 1, 3, 1, 2, 2, 0, 3, 0, 4, 1, 2, 2, 2, 2, 3, 4, 2, 4, 2, 2, 2, 0, 0, 0, 0, 4, 2, 3, 4, 0, 2, 0, 1, 2, 3, 1, 0, 3, 4, 3, 4, 0, 4, 3, 2, 1, 3, 1, 3, 4, 3, 2, 0, 0, 3, 1, 0, 0, 1, 2, 2, 1, 3, 0, 4, 1, 4, 0, 3, 0, 4, 0, 2, 3, 2, 2, 4, 2, 1, 4, 2, 2, 2, 2, 1, 0, 2, 4, 1, 3, 1, 1, 4, 1, 1, 3, 1, 0, 0, 1, 2, 4, 0, 2, 4, 2, 3, 2, 1, 2, 2, 4, 1, 0, 1, 1, 0, 0, 1, 2, 2, 4, 2, 3, 0] pubkeycol527 = [4, 3, 0, 4, 2, 4, 2, 1, 2, 1, 0, 1, 4, 1, 0, 3, 2, 0, 4, 3, 1, 0, 1, 2, 0, 1, 4, 1, 4, 3, 3, 0, 3, 2, 1, 2, 0, 4, 0, 4, 1, 2, 4, 4, 1, 1, 4, 0, 0, 0, 2, 4, 1, 3, 4, 3, 2, 0, 2, 3, 2, 3, 2, 1, 3, 0, 3, 0, 2, 3, 2, 4, 0, 3, 2, 0, 3, 2, 2, 3, 0, 2, 1, 2, 2, 0, 3, 2, 1, 4, 2, 1, 3, 2, 4, 1, 0, 1, 0, 0, 1, 3, 4, 1, 4, 4, 2, 0, 1, 2, 0, 2, 4, 0, 4, 2, 0, 3, 1, 4, 3, 4, 4, 1, 1, 4, 0, 3, 1, 0, 4, 2, 3, 2, 4, 0, 2, 3, 3, 0, 0, 3, 3, 3, 4, 3, 0, 1, 3, 4, 3, 2, 3, 2, 3, 4, 3, 0, 0, 1, 1, 0, 0, 0, 2, 3, 0, 2, 0, 0, 0, 2, 2, 0, 3, 2, 3, 1, 2, 1, 4, 0, 1, 3, 0, 2, 4, 4, 0, 1, 3, 4, 1, 1, 0, 2, 1, 1, 4, 1, 0, 1, 4, 2, 4, 3, 1, 0, 0, 0, 0, 3, 4, 0, 0, 4, 4, 1, 0, 3, 2, 0, 2, 2, 1, 4, 2, 0, 3, 0, 0, 1, 2, 1, 3, 1, 2, 3, 2, 1, 4, 0, 4, 1, 4, 2, 3, 0, 2, 0, 2, 1, 1, 4, 2, 1, 3, 2, 0, 2, 4, 0, 1, 4, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 4, 4, 1, 4, 2, 3, 1, 4, 3, 4, 3, 3, 4, 0, 2, 1, 2, 3, 0, 4, 1, 4, 4, 4, 3, 3, 1, 2, 4, 4, 1, 3, 2, 1, 4, 1, 2, 1, 0, 4, 2, 3, 3, 0, 1, 1, 3, 4, 0, 4, 2, 4, 4, 0, 3, 3, 4, 4, 2, 3, 3, 2, 4, 1, 3, 2, 1, 3, 4, 3, 1, 3, 2, 3, 1, 0, 0, 4, 1, 2, 2, 4, 4, 4, 3, 3, 0, 4, 0, 2, 1, 2, 3, 0, 3, 0, 1, 4, 1, 0, 3, 4, 4, 2, 4, 0, 3, 3, 0, 3, 0, 4, 4, 0, 4, 2, 3, 2, 0, 1, 2, 2, 3, 3, 1, 4] pubkeycol528 = [4, 2, 4, 0, 1, 2, 3, 4, 2, 1, 1, 1, 4, 0, 2, 3, 1, 4, 4, 3, 3, 0, 0, 1, 3, 4, 3, 3, 4, 0, 2, 2, 0, 3, 2, 1, 4, 0, 2, 3, 2, 1, 3, 2, 4, 2, 2, 2, 3, 1, 1, 3, 4, 3, 2, 1, 2, 2, 4, 3, 3, 1, 3, 1, 0, 3, 2, 4, 1, 2, 4, 4, 0, 4, 1, 0, 4, 3, 4, 2, 3, 0, 2, 2, 4, 1, 0, 1, 2, 1, 3, 0, 1, 3, 0, 4, 3, 1, 1, 1, 0, 4, 3, 4, 2, 1, 2, 1, 1, 0, 3, 0, 0, 1, 2, 3, 3, 4, 4, 2, 1, 3, 4, 4, 0, 0, 0, 3, 4, 1, 3, 2, 1, 1, 1, 0, 2, 3, 3, 0, 4, 2, 2, 3, 3, 1, 4, 0, 2, 3, 4, 3, 4, 4, 0, 0, 1, 4, 4, 3, 4, 0, 1, 0, 0, 3, 0, 0, 3, 2, 3, 2, 2, 1, 2, 4, 1, 2, 4, 4, 1, 4, 3, 0, 0, 0, 0, 4, 2, 4, 4, 4, 1, 0, 0, 1, 3, 2, 1, 4, 3, 2, 4, 3, 2, 4, 3, 3, 2, 1, 4, 2, 0, 2, 3, 4, 2, 4, 2, 3, 4, 0, 2, 4, 2, 2, 2, 3, 2, 3, 2, 2, 1, 0, 2, 1, 3, 2, 0, 2, 4, 2, 0, 2, 0, 2, 0, 2, 3, 2, 3, 2, 4, 2, 0, 3, 1, 1, 2, 4, 4, 1, 3, 0, 2, 1, 4, 4, 1, 0, 3, 1, 2, 3, 2, 3, 3, 2, 1, 2, 3, 0, 0, 2, 1, 0, 0, 1, 3, 4, 4, 2, 1, 4, 0, 2, 2, 4, 0, 4, 3, 4, 3, 4, 0, 3, 3, 0, 1, 3, 0, 2, 3, 1, 1, 3, 0, 1, 3, 0, 0, 0, 0, 1, 0, 3, 3, 2, 4, 1, 4, 4, 1, 2, 2, 0, 2, 3, 4, 1, 1, 0, 0, 2, 3, 1, 0, 2, 3, 0, 4, 1, 0, 1, 4, 3, 2, 0, 0, 0, 0, 2, 4, 3, 3, 3, 1, 0, 4, 4, 3, 4, 4, 1, 4, 1, 0, 3, 0, 2, 4, 4, 3, 2, 1, 1, 3, 1, 1, 0, 2, 4, 3, 1, 2, 1, 4, 1, 2, 1] pubkeycol529 = [2, 1, 0, 3, 1, 1, 1, 2, 3, 4, 3, 3, 0, 2, 4, 2, 1, 3, 2, 3, 2, 4, 2, 1, 4, 3, 2, 4, 2, 4, 2, 1, 1, 0, 4, 1, 0, 1, 4, 3, 4, 2, 4, 3, 2, 2, 2, 1, 2, 3, 3, 4, 3, 2, 2, 4, 1, 3, 3, 3, 2, 2, 0, 0, 3, 1, 4, 0, 0, 0, 3, 2, 2, 2, 1, 2, 3, 3, 1, 3, 0, 4, 3, 2, 2, 4, 4, 3, 1, 2, 4, 1, 4, 1, 4, 1, 1, 4, 3, 2, 3, 0, 0, 3, 3, 2, 4, 1, 0, 3, 0, 4, 2, 1, 3, 0, 2, 3, 2, 2, 3, 4, 3, 0, 1, 1, 3, 0, 1, 0, 3, 1, 0, 0, 3, 0, 4, 1, 2, 3, 3, 3, 1, 1, 0, 3, 4, 4, 0, 1, 2, 1, 3, 2, 0, 3, 3, 1, 3, 1, 1, 2, 1, 0, 2, 1, 4, 4, 1, 4, 3, 0, 1, 2, 4, 4, 2, 1, 0, 4, 4, 0, 0, 2, 1, 0, 0, 0, 3, 4, 4, 4, 0, 2, 0, 0, 4, 3, 1, 4, 4, 2, 2, 1, 4, 4, 2, 3, 0, 1, 2, 3, 3, 4, 4, 4, 1, 3, 0, 2, 2, 3, 0, 1, 1, 4, 1, 4, 4, 4, 1, 0, 2, 4, 4, 1, 4, 4, 1, 1, 1, 1, 3, 4, 4, 4, 1, 1, 4, 2, 0, 0, 0, 3, 0, 4, 3, 2, 0, 2, 4, 1, 4, 1, 3, 1, 4, 3, 3, 2, 1, 2, 1, 2, 2, 1, 3, 2, 2, 1, 4, 1, 3, 2, 1, 0, 2, 4, 1, 4, 1, 4, 0, 2, 4, 0, 0, 3, 0, 0, 3, 4, 0, 3, 0, 4, 4, 3, 2, 0, 4, 3, 4, 1, 2, 2, 2, 0, 3, 1, 2, 0, 1, 3, 4, 2, 1, 3, 1, 3, 0, 3, 3, 0, 4, 3, 0, 4, 2, 3, 4, 2, 0, 2, 0, 4, 4, 4, 1, 2, 2, 0, 1, 4, 4, 1, 0, 2, 4, 4, 4, 1, 2, 0, 0, 1, 3, 4, 1, 0, 4, 1, 1, 4, 1, 3, 1, 1, 2, 2, 4, 3, 2, 3, 4, 1, 2, 3, 0, 3, 3, 1, 3, 4, 3, 3, 4, 0, 1, 3] pubkeycol530 = [1, 0, 3, 0, 0, 3, 0, 4, 4, 3, 3, 1, 4, 4, 3, 3, 0, 1, 4, 0, 1, 0, 1, 0, 4, 1, 4, 1, 3, 4, 4, 0, 4, 3, 4, 1, 4, 1, 1, 2, 4, 2, 0, 0, 3, 4, 4, 0, 0, 4, 4, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 4, 3, 3, 0, 2, 3, 4, 1, 2, 2, 4, 3, 1, 4, 3, 4, 1, 1, 4, 3, 4, 3, 4, 4, 4, 0, 2, 4, 4, 1, 4, 3, 2, 1, 1, 3, 4, 2, 1, 3, 4, 3, 4, 2, 0, 3, 2, 0, 1, 4, 1, 0, 3, 4, 1, 1, 4, 0, 3, 1, 3, 0, 3, 0, 0, 4, 0, 1, 2, 2, 0, 2, 1, 0, 4, 3, 1, 2, 0, 3, 3, 2, 1, 4, 3, 4, 1, 3, 1, 1, 1, 1, 1, 3, 2, 0, 3, 1, 2, 2, 2, 1, 4, 4, 1, 4, 1, 0, 1, 4, 1, 0, 3, 3, 0, 2, 2, 0, 0, 4, 1, 4, 0, 3, 3, 4, 2, 3, 2, 0, 3, 1, 0, 3, 2, 0, 4, 2, 4, 0, 3, 3, 1, 3, 2, 2, 0, 4, 0, 3, 3, 3, 0, 3, 0, 0, 2, 2, 2, 3, 4, 4, 3, 2, 1, 3, 2, 2, 3, 3, 0, 4, 1, 3, 3, 0, 1, 3, 4, 1, 3, 0, 0, 3, 0, 2, 2, 1, 4, 2, 1, 1, 3, 3, 2, 1, 0, 3, 0, 1, 2, 2, 4, 1, 3, 0, 2, 1, 0, 0, 3, 3, 0, 3, 4, 0, 2, 3, 4, 3, 2, 4, 0, 0, 0, 3, 3, 4, 2, 3, 0, 3, 4, 2, 0, 4, 1, 1, 4, 3, 0, 0, 4, 0, 2, 4, 0, 0, 0, 1, 4, 3, 0, 3, 0, 2, 2, 2, 1, 3, 1, 1, 1, 0, 1, 4, 0, 0, 0, 0, 1, 3, 0, 1, 0, 1, 2, 4, 2, 1, 3, 2, 2, 4, 0, 1, 1, 4, 1, 3, 0, 3, 0, 4, 1, 3, 0, 0, 4, 0, 4, 3, 2, 4, 1, 1, 1, 2, 1, 4, 4, 3, 2, 3, 0, 1, 0, 4, 3, 0, 1, 1, 2, 2, 0, 0, 3, 0, 0, 1, 0, 1, 2, 3, 4, 4, 2, 2, 0] pubkeycol531 = [1, 4, 1, 0, 0, 3, 4, 1, 2, 2, 3, 1, 1, 1, 1, 2, 4, 1, 2, 1, 3, 2, 3, 3, 3, 3, 3, 0, 2, 0, 0, 4, 0, 0, 1, 4, 2, 2, 3, 3, 1, 2, 0, 2, 2, 4, 3, 2, 4, 3, 0, 2, 0, 2, 3, 2, 2, 4, 0, 1, 2, 2, 0, 1, 3, 3, 3, 1, 4, 0, 2, 4, 4, 1, 0, 3, 0, 2, 2, 0, 2, 1, 0, 0, 3, 3, 3, 0, 2, 0, 1, 0, 2, 1, 0, 3, 3, 1, 1, 4, 1, 2, 3, 4, 3, 4, 2, 2, 1, 3, 2, 1, 3, 2, 3, 2, 3, 3, 3, 0, 4, 4, 4, 4, 0, 3, 4, 1, 3, 0, 4, 3, 0, 0, 2, 2, 0, 4, 1, 4, 2, 1, 2, 2, 3, 1, 4, 4, 0, 3, 1, 1, 0, 4, 4, 4, 1, 0, 4, 3, 1, 1, 4, 2, 2, 4, 2, 4, 2, 2, 1, 4, 2, 0, 2, 0, 4, 1, 1, 1, 4, 4, 1, 0, 0, 0, 3, 0, 1, 2, 0, 4, 0, 4, 4, 0, 1, 4, 3, 0, 0, 4, 4, 0, 1, 3, 2, 4, 2, 2, 4, 4, 2, 1, 3, 0, 4, 0, 2, 2, 4, 0, 3, 0, 0, 2, 0, 2, 3, 4, 2, 1, 2, 3, 1, 4, 1, 2, 3, 3, 0, 2, 1, 0, 2, 1, 1, 4, 4, 4, 1, 2, 0, 0, 3, 1, 3, 3, 3, 1, 1, 3, 2, 1, 0, 1, 2, 0, 3, 2, 1, 1, 4, 1, 0, 0, 1, 2, 4, 4, 3, 0, 3, 0, 4, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 4, 1, 2, 1, 1, 3, 3, 4, 0, 2, 2, 2, 4, 1, 0, 3, 1, 3, 0, 4, 4, 2, 2, 4, 0, 2, 1, 2, 1, 3, 2, 2, 3, 3, 4, 3, 1, 4, 3, 4, 0, 4, 0, 1, 2, 1, 1, 2, 2, 3, 4, 0, 1, 1, 4, 0, 2, 3, 4, 2, 4, 1, 1, 4, 4, 3, 1, 2, 4, 3, 4, 0, 1, 0, 1, 1, 0, 3, 4, 4, 2, 4, 2, 3, 3, 3, 0, 2, 2, 4, 1, 1, 3, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 4] pubkeycol532 = [0, 2, 4, 0, 2, 2, 1, 2, 2, 1, 2, 3, 4, 0, 3, 2, 3, 3, 2, 3, 1, 4, 4, 3, 3, 4, 1, 3, 1, 1, 2, 4, 1, 4, 4, 3, 1, 2, 0, 2, 2, 1, 4, 2, 2, 3, 0, 0, 3, 4, 3, 2, 2, 0, 4, 1, 2, 2, 0, 0, 2, 4, 2, 2, 3, 0, 2, 3, 0, 3, 0, 2, 1, 0, 1, 0, 4, 1, 4, 3, 4, 4, 2, 4, 4, 2, 4, 0, 0, 1, 1, 4, 4, 4, 4, 1, 4, 3, 1, 4, 3, 0, 3, 2, 4, 4, 2, 1, 0, 4, 3, 4, 2, 1, 2, 3, 3, 4, 1, 1, 1, 0, 3, 4, 0, 0, 4, 1, 0, 2, 1, 2, 3, 0, 4, 1, 3, 2, 4, 0, 4, 2, 2, 4, 1, 3, 3, 0, 4, 1, 2, 4, 2, 3, 3, 2, 3, 0, 0, 0, 0, 4, 3, 3, 1, 2, 2, 1, 3, 2, 0, 4, 1, 4, 2, 4, 3, 0, 2, 2, 2, 1, 0, 2, 1, 4, 1, 0, 0, 0, 0, 2, 3, 1, 0, 1, 1, 0, 1, 3, 1, 4, 2, 2, 4, 3, 4, 0, 2, 4, 1, 1, 0, 4, 2, 2, 0, 3, 3, 1, 4, 4, 1, 1, 3, 2, 1, 2, 1, 3, 0, 4, 4, 0, 3, 0, 2, 1, 0, 1, 0, 0, 1, 3, 3, 2, 0, 4, 3, 0, 4, 4, 0, 1, 3, 0, 2, 4, 4, 2, 0, 4, 0, 3, 1, 3, 0, 2, 0, 0, 1, 1, 4, 2, 0, 3, 4, 0, 3, 3, 4, 3, 1, 2, 0, 0, 2, 2, 4, 0, 0, 1, 2, 1, 2, 1, 0, 0, 3, 0, 3, 4, 0, 1, 1, 0, 4, 4, 1, 2, 2, 4, 0, 4, 4, 4, 0, 1, 0, 4, 1, 0, 1, 1, 3, 4, 1, 3, 4, 1, 3, 2, 2, 4, 2, 4, 3, 3, 2, 0, 0, 1, 2, 3, 3, 4, 4, 3, 4, 4, 1, 0, 1, 4, 2, 0, 1, 2, 3, 3, 0, 3, 2, 2, 2, 3, 3, 1, 0, 2, 2, 4, 3, 4, 1, 2, 3, 0, 2, 2, 3, 4, 0, 0, 0, 2, 0, 3, 3, 4, 2, 3, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol533 = [0, 2, 1, 3, 1, 1, 4, 2, 3, 0, 2, 0, 0, 3, 0, 0, 0, 2, 2, 0, 3, 0, 1, 2, 0, 3, 4, 1, 3, 4, 0, 2, 4, 4, 3, 0, 3, 3, 1, 0, 2, 4, 4, 4, 2, 1, 3, 2, 4, 2, 2, 1, 3, 4, 3, 0, 0, 1, 2, 4, 0, 4, 3, 2, 1, 3, 1, 2, 4, 3, 1, 3, 3, 0, 2, 1, 2, 3, 1, 2, 3, 0, 0, 4, 1, 0, 2, 4, 2, 2, 4, 0, 0, 3, 1, 2, 1, 4, 1, 1, 1, 4, 1, 1, 4, 2, 3, 2, 3, 0, 2, 1, 1, 4, 2, 3, 0, 0, 1, 3, 1, 2, 2, 0, 2, 4, 2, 2, 1, 0, 3, 0, 1, 0, 0, 2, 0, 1, 3, 4, 1, 2, 4, 2, 1, 0, 0, 1, 3, 4, 2, 2, 3, 4, 4, 3, 0, 4, 0, 0, 3, 1, 3, 2, 0, 3, 4, 4, 0, 4, 1, 2, 1, 0, 2, 2, 2, 4, 0, 4, 2, 0, 1, 0, 3, 4, 3, 2, 2, 2, 0, 2, 3, 4, 3, 2, 1, 1, 3, 4, 1, 4, 1, 0, 3, 3, 2, 4, 2, 3, 0, 2, 2, 2, 3, 2, 4, 3, 1, 0, 1, 1, 1, 4, 2, 3, 4, 4, 0, 1, 1, 4, 2, 3, 2, 3, 0, 0, 4, 0, 4, 4, 3, 0, 4, 1, 3, 2, 3, 0, 0, 3, 2, 3, 0, 2, 3, 3, 4, 1, 1, 4, 0, 4, 4, 3, 2, 2, 3, 0, 2, 0, 2, 2, 0, 2, 1, 2, 4, 1, 3, 0, 1, 1, 1, 2, 0, 2, 1, 4, 2, 1, 0, 1, 4, 2, 4, 1, 1, 4, 1, 4, 1, 3, 1, 4, 0, 3, 3, 1, 0, 4, 3, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 3, 1, 0, 1, 2, 0, 2, 0, 0, 1, 3, 2, 0, 1, 2, 3, 2, 3, 0, 4, 1, 2, 0, 1, 4, 2, 4, 4, 0, 4, 2, 0, 1, 0, 3, 2, 4, 1, 3, 3, 1, 4, 1, 0, 1, 2, 1, 2, 2, 4, 2, 0, 3, 3, 2, 1, 4, 4, 1, 4, 2, 0, 2, 0, 4, 3, 1, 1, 2, 4, 1, 2, 3, 4, 1, 2] pubkeycol534 = [3, 3, 2, 1, 2, 0, 3, 1, 2, 0, 1, 3, 4, 4, 2, 2, 0, 1, 0, 2, 1, 3, 0, 4, 4, 2, 3, 2, 0, 2, 3, 2, 0, 2, 3, 4, 4, 2, 0, 3, 3, 4, 4, 2, 0, 3, 3, 0, 3, 0, 0, 1, 1, 0, 1, 3, 2, 4, 2, 1, 2, 0, 1, 1, 1, 4, 2, 1, 1, 3, 3, 3, 0, 2, 1, 3, 4, 2, 4, 1, 1, 3, 1, 4, 0, 2, 4, 4, 1, 1, 4, 1, 2, 4, 2, 0, 0, 3, 2, 2, 3, 0, 3, 3, 1, 2, 0, 1, 4, 1, 4, 0, 0, 4, 0, 1, 4, 2, 3, 2, 2, 2, 4, 3, 2, 1, 2, 2, 0, 3, 4, 1, 0, 4, 0, 3, 1, 1, 1, 3, 0, 3, 4, 4, 1, 1, 2, 1, 0, 0, 1, 2, 4, 2, 1, 0, 1, 4, 2, 2, 2, 3, 3, 2, 2, 0, 4, 0, 1, 2, 4, 3, 0, 4, 3, 3, 0, 1, 1, 4, 1, 1, 4, 4, 1, 1, 1, 2, 1, 0, 4, 2, 4, 4, 2, 2, 3, 1, 4, 1, 2, 4, 4, 4, 4, 0, 4, 2, 2, 4, 4, 4, 3, 2, 4, 3, 4, 2, 3, 4, 1, 3, 2, 1, 0, 0, 1, 1, 3, 1, 1, 0, 3, 4, 1, 4, 1, 2, 4, 2, 2, 4, 3, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 4, 4, 1, 1, 2, 2, 0, 1, 0, 3, 4, 3, 3, 1, 1, 2, 1, 2, 3, 0, 2, 0, 1, 3, 3, 1, 0, 1, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 4, 4, 2, 1, 3, 0, 4, 1, 3, 4, 3, 1, 1, 3, 4, 1, 0, 4, 0, 3, 4, 1, 2, 3, 1, 1, 3, 3, 4, 0, 0, 1, 2, 4, 4, 2, 2, 4, 2, 0, 2, 4, 0, 4, 2, 3, 1, 4, 0, 4, 3, 2, 2, 2, 3, 0, 0, 1, 2, 4, 0, 2, 0, 1, 4, 4, 2, 1, 0, 1, 2, 4, 0, 0, 4, 4, 1, 1, 4, 4, 2, 1, 0, 4, 1, 2, 1, 4, 2, 0, 3, 1, 4, 4, 4, 4, 1, 1, 3, 4, 2, 3, 4, 3, 1] pubkeycol535 = [3, 3, 1, 4, 3, 1, 1, 3, 1, 4, 1, 4, 2, 2, 2, 3, 4, 3, 1, 4, 3, 4, 3, 0, 0, 1, 1, 4, 1, 4, 4, 4, 1, 3, 0, 3, 0, 4, 4, 2, 3, 4, 1, 0, 2, 1, 0, 3, 0, 0, 3, 4, 3, 2, 1, 0, 0, 3, 2, 4, 0, 0, 2, 2, 0, 4, 0, 4, 2, 3, 0, 2, 1, 3, 0, 2, 2, 2, 0, 0, 4, 3, 0, 3, 1, 1, 2, 4, 1, 2, 3, 0, 4, 0, 1, 0, 1, 0, 3, 0, 0, 1, 3, 3, 2, 0, 2, 3, 2, 0, 2, 3, 1, 1, 4, 2, 2, 2, 0, 0, 4, 4, 3, 4, 1, 3, 3, 1, 0, 0, 0, 1, 1, 0, 3, 0, 4, 2, 2, 3, 2, 3, 2, 2, 0, 4, 2, 0, 1, 2, 0, 4, 2, 3, 1, 3, 0, 0, 1, 3, 2, 4, 1, 0, 4, 0, 2, 2, 3, 2, 4, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 4, 4, 3, 3, 0, 2, 0, 2, 4, 2, 0, 2, 3, 4, 3, 3, 4, 3, 3, 3, 1, 1, 1, 3, 2, 4, 3, 4, 0, 1, 2, 4, 4, 2, 2, 0, 1, 4, 0, 1, 2, 0, 4, 4, 3, 1, 4, 1, 2, 2, 4, 1, 1, 0, 4, 3, 2, 2, 1, 3, 0, 3, 2, 1, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 4, 2, 1, 2, 4, 4, 1, 4, 2, 0, 4, 4, 3, 3, 4, 3, 4, 0, 0, 4, 1, 4, 2, 3, 0, 0, 0, 4, 0, 1, 0, 3, 0, 3, 1, 3, 3, 1, 2, 4, 2, 1, 3, 4, 0, 1, 4, 4, 4, 3, 4, 2, 1, 4, 4, 4, 4, 4, 2, 2, 4, 2, 1, 4, 1, 4, 4, 4, 2, 4, 1, 2, 1, 4, 2, 2, 4, 1, 0, 0, 1, 1, 2, 2, 3, 2, 0, 4, 2, 3, 3, 3, 3, 3, 4, 1, 4, 3, 1, 2, 4, 4, 3, 1, 3, 4, 0, 2, 1, 4, 4, 2, 4, 1, 1, 1, 2, 1, 2, 3, 2, 4, 2, 0, 3, 2, 0, 4, 4, 2, 1, 2, 1, 4, 4, 1, 0, 4, 2, 3, 2, 2] pubkeycol536 = [0, 1, 3, 4, 2, 1, 1, 0, 3, 1, 2, 2, 2, 0, 2, 2, 1, 4, 1, 4, 4, 3, 0, 4, 1, 0, 0, 4, 4, 2, 1, 1, 4, 4, 0, 1, 1, 3, 2, 2, 3, 3, 1, 3, 3, 3, 1, 3, 4, 2, 2, 1, 3, 4, 4, 2, 0, 1, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 3, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 3, 3, 0, 0, 0, 4, 1, 3, 1, 0, 1, 3, 2, 3, 3, 3, 0, 4, 0, 2, 1, 4, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 2, 1, 3, 2, 0, 0, 2, 1, 3, 4, 0, 0, 3, 1, 0, 0, 0, 2, 0, 0, 3, 1, 1, 3, 4, 2, 0, 4, 2, 1, 0, 0, 2, 1, 3, 1, 2, 2, 2, 0, 4, 3, 2, 4, 2, 2, 2, 1, 0, 3, 0, 0, 1, 3, 3, 4, 0, 0, 0, 0, 4, 4, 0, 2, 3, 0, 0, 3, 4, 3, 2, 4, 3, 2, 0, 2, 3, 2, 2, 1, 3, 3, 2, 1, 1, 3, 1, 2, 1, 2, 4, 3, 1, 0, 2, 2, 2, 3, 2, 3, 2, 3, 0, 4, 0, 1, 3, 0, 4, 2, 1, 0, 2, 1, 4, 2, 2, 0, 3, 4, 3, 0, 0, 1, 2, 4, 4, 1, 0, 4, 3, 0, 0, 1, 2, 1, 3, 1, 4, 4, 1, 1, 0, 4, 2, 2, 3, 0, 1, 1, 0, 3, 2, 0, 2, 3, 2, 0, 0, 4, 4, 0, 3, 0, 0, 3, 4, 2, 3, 1, 0, 0, 4, 0, 0, 3, 3, 2, 3, 4, 0, 2, 2, 3, 2, 1, 1, 0, 4, 1, 0, 0, 3, 1, 3, 0, 2, 2, 2, 2, 0, 2, 4, 0, 0, 3, 0, 1, 4, 3, 3, 4, 4, 1, 2, 4, 0, 1, 1, 0, 1, 0, 0, 1, 0, 4, 4, 4, 1, 4, 3, 1, 0, 0, 2, 2, 0, 2, 0, 4, 2, 0, 4, 3, 1, 2, 4, 2, 2, 2, 0, 4, 0, 0, 3, 0, 0, 0, 3, 1, 4, 1, 0, 1, 4, 3, 0, 1, 1, 1, 0, 1, 2, 3, 2, 3, 0] pubkeycol537 = [0, 1, 3, 2, 4, 3, 1, 4, 3, 4, 0, 3, 4, 4, 0, 2, 2, 3, 4, 0, 2, 4, 3, 1, 2, 3, 1, 3, 4, 4, 4, 4, 3, 1, 2, 2, 3, 0, 4, 4, 0, 1, 4, 4, 0, 4, 1, 4, 1, 4, 4, 2, 2, 4, 4, 2, 4, 0, 1, 4, 2, 0, 0, 0, 2, 0, 4, 1, 0, 3, 0, 4, 1, 2, 2, 4, 1, 2, 4, 4, 3, 4, 1, 4, 1, 0, 2, 3, 3, 3, 1, 2, 1, 3, 2, 2, 1, 3, 4, 4, 2, 3, 0, 2, 4, 4, 4, 1, 3, 2, 2, 2, 0, 3, 0, 1, 3, 4, 2, 2, 4, 3, 0, 1, 4, 0, 4, 2, 4, 2, 4, 3, 2, 3, 0, 1, 4, 3, 0, 2, 3, 4, 1, 0, 3, 2, 3, 0, 1, 3, 0, 1, 0, 1, 2, 4, 0, 0, 1, 2, 1, 1, 4, 3, 1, 0, 4, 2, 1, 3, 0, 0, 2, 3, 1, 1, 0, 4, 1, 1, 3, 2, 2, 2, 1, 4, 0, 2, 2, 0, 4, 1, 3, 0, 4, 4, 1, 3, 1, 0, 2, 3, 4, 2, 4, 3, 1, 0, 2, 3, 4, 1, 0, 1, 1, 2, 4, 3, 2, 1, 0, 4, 4, 0, 3, 1, 4, 0, 1, 3, 3, 0, 0, 3, 1, 2, 2, 0, 1, 0, 3, 1, 0, 0, 0, 4, 2, 0, 0, 2, 2, 1, 3, 3, 0, 1, 2, 3, 2, 1, 3, 0, 0, 4, 1, 0, 3, 4, 3, 4, 4, 3, 0, 0, 4, 2, 0, 3, 2, 4, 2, 2, 4, 2, 2, 2, 3, 4, 1, 0, 2, 3, 1, 4, 3, 4, 0, 2, 0, 2, 4, 1, 4, 3, 1, 3, 1, 1, 3, 2, 0, 2, 2, 2, 3, 2, 0, 1, 0, 3, 1, 3, 3, 1, 1, 0, 0, 0, 1, 3, 4, 1, 1, 1, 1, 1, 3, 4, 3, 3, 4, 1, 2, 3, 0, 4, 0, 4, 1, 3, 4, 0, 2, 2, 1, 1, 4, 2, 4, 0, 3, 2, 1, 4, 3, 0, 1, 2, 3, 2, 3, 0, 0, 3, 0, 3, 0, 4, 0, 2, 4, 1, 4, 3, 3, 0, 1, 4, 3, 1, 2, 2, 1, 1, 4, 1, 2, 1, 2, 1] pubkeycol538 = [1, 1, 1, 3, 1, 2, 1, 0, 3, 1, 3, 0, 0, 1, 1, 1, 3, 3, 4, 0, 2, 3, 3, 1, 3, 1, 0, 1, 1, 1, 3, 0, 0, 0, 1, 2, 0, 1, 3, 1, 0, 1, 4, 3, 0, 0, 1, 2, 2, 2, 1, 4, 1, 3, 0, 2, 3, 4, 4, 1, 1, 4, 4, 3, 2, 0, 3, 0, 3, 1, 0, 2, 2, 0, 0, 4, 3, 2, 3, 3, 2, 3, 4, 2, 4, 3, 4, 1, 4, 3, 2, 2, 3, 2, 1, 4, 4, 4, 3, 0, 0, 3, 3, 2, 4, 0, 3, 1, 4, 3, 0, 3, 4, 1, 1, 1, 1, 4, 4, 2, 4, 2, 0, 1, 4, 0, 3, 3, 3, 2, 3, 1, 1, 2, 4, 4, 4, 3, 4, 2, 2, 1, 2, 4, 1, 3, 3, 0, 2, 0, 4, 2, 1, 4, 2, 4, 3, 3, 0, 0, 2, 0, 3, 0, 1, 3, 1, 3, 0, 4, 1, 0, 1, 2, 1, 1, 3, 4, 1, 1, 0, 4, 1, 2, 0, 4, 1, 0, 4, 1, 3, 3, 2, 3, 4, 3, 0, 1, 3, 2, 1, 2, 1, 0, 3, 0, 0, 4, 1, 4, 2, 2, 3, 4, 1, 4, 0, 0, 2, 3, 1, 1, 1, 2, 3, 4, 0, 2, 1, 4, 3, 0, 3, 4, 3, 3, 1, 0, 1, 4, 3, 0, 4, 4, 4, 2, 0, 4, 1, 4, 1, 3, 2, 4, 1, 0, 2, 4, 2, 2, 3, 1, 0, 3, 2, 4, 2, 2, 3, 1, 4, 4, 2, 4, 1, 2, 2, 1, 0, 3, 1, 0, 2, 2, 3, 2, 3, 2, 2, 0, 0, 1, 4, 1, 0, 2, 3, 0, 1, 0, 1, 3, 2, 4, 2, 4, 2, 0, 1, 4, 0, 3, 0, 1, 0, 4, 1, 2, 2, 1, 4, 3, 0, 2, 3, 2, 0, 1, 0, 2, 3, 1, 0, 3, 2, 1, 2, 3, 1, 1, 1, 0, 2, 0, 4, 4, 4, 1, 1, 2, 1, 1, 2, 2, 3, 4, 1, 3, 1, 4, 1, 2, 3, 1, 3, 0, 3, 4, 3, 4, 1, 4, 0, 4, 4, 0, 3, 2, 1, 4, 0, 1, 1, 3, 3, 3, 4, 2, 0, 1, 1, 4, 1, 0, 1, 2, 3, 1, 3, 1] pubkeycol539 = [4, 2, 0, 2, 3, 3, 1, 4, 0, 1, 4, 1, 1, 2, 3, 3, 3, 1, 0, 3, 0, 0, 4, 0, 1, 2, 2, 2, 4, 4, 3, 1, 1, 3, 3, 1, 0, 1, 0, 3, 0, 4, 2, 1, 0, 0, 1, 3, 0, 1, 2, 3, 4, 2, 3, 4, 3, 1, 1, 2, 3, 4, 3, 1, 1, 1, 2, 1, 3, 4, 3, 2, 3, 1, 2, 2, 3, 0, 1, 0, 3, 4, 0, 1, 3, 1, 0, 1, 1, 1, 2, 4, 4, 4, 4, 4, 1, 0, 2, 2, 4, 3, 1, 4, 1, 0, 4, 1, 0, 0, 2, 4, 3, 1, 0, 3, 2, 1, 2, 4, 0, 0, 0, 2, 0, 1, 3, 1, 3, 2, 3, 0, 0, 1, 1, 3, 1, 0, 0, 0, 0, 4, 2, 3, 2, 4, 3, 0, 3, 3, 3, 4, 3, 4, 1, 1, 4, 4, 2, 2, 1, 4, 0, 2, 3, 3, 1, 2, 2, 0, 0, 0, 2, 4, 3, 2, 2, 2, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 1, 2, 0, 3, 0, 0, 0, 0, 3, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 3, 2, 4, 2, 2, 4, 2, 2, 2, 3, 0, 2, 2, 2, 0, 3, 3, 2, 0, 0, 4, 3, 0, 4, 4, 0, 3, 4, 4, 0, 4, 3, 3, 2, 2, 0, 2, 0, 3, 3, 3, 4, 2, 1, 0, 2, 4, 2, 3, 1, 4, 1, 4, 4, 4, 3, 3, 2, 4, 2, 1, 0, 2, 4, 1, 4, 0, 3, 0, 1, 1, 2, 1, 0, 1, 4, 3, 3, 2, 1, 3, 2, 0, 0, 1, 4, 3, 2, 0, 4, 2, 2, 0, 2, 4, 2, 3, 0, 2, 0, 1, 0, 4, 1, 3, 1, 1, 0, 1, 3, 3, 4, 0, 3, 1, 4, 0, 4, 1, 0, 1, 2, 3, 4, 2, 1, 4, 0, 3, 3, 0, 3, 0, 1, 0, 1, 1, 3, 3, 0, 3, 0, 2, 4, 2, 4, 0, 0, 0, 4, 0, 3, 1, 4, 0, 3, 3, 0, 3, 4, 1, 1, 1, 3, 1, 0, 4, 3, 4, 1, 3, 0, 1, 1, 0, 3, 3, 0, 2, 0, 4, 2, 2, 2, 1, 2, 2, 3, 2, 0, 2] pubkeycol540 = [0, 1, 4, 1, 4, 1, 1, 2, 1, 4, 2, 2, 2, 1, 4, 2, 2, 0, 1, 4, 2, 0, 4, 3, 3, 1, 4, 4, 4, 0, 2, 1, 1, 3, 3, 0, 2, 1, 1, 2, 2, 4, 4, 4, 2, 3, 1, 0, 4, 1, 0, 0, 3, 3, 3, 2, 3, 3, 0, 1, 1, 3, 4, 4, 0, 4, 0, 4, 0, 2, 4, 4, 1, 0, 2, 4, 0, 2, 2, 4, 2, 1, 2, 0, 2, 4, 1, 3, 0, 4, 0, 1, 3, 3, 4, 1, 0, 3, 3, 4, 4, 3, 1, 3, 0, 3, 4, 3, 2, 1, 4, 3, 1, 4, 0, 0, 3, 0, 0, 2, 2, 2, 0, 0, 2, 4, 3, 1, 4, 3, 2, 0, 1, 1, 0, 3, 3, 0, 1, 2, 2, 4, 3, 4, 3, 1, 1, 2, 3, 2, 4, 0, 4, 1, 1, 4, 0, 0, 4, 4, 1, 3, 4, 3, 0, 2, 3, 0, 0, 1, 3, 4, 1, 2, 3, 2, 1, 3, 1, 4, 2, 0, 2, 1, 1, 2, 3, 3, 4, 2, 3, 1, 1, 1, 4, 1, 0, 4, 1, 4, 1, 3, 4, 3, 0, 0, 0, 2, 4, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 3, 1, 4, 0, 4, 1, 4, 4, 0, 1, 4, 3, 2, 4, 0, 1, 4, 0, 1, 2, 2, 2, 1, 3, 0, 1, 1, 4, 4, 3, 0, 2, 3, 4, 4, 2, 1, 0, 3, 4, 0, 1, 4, 4, 2, 0, 2, 2, 3, 1, 3, 2, 0, 4, 3, 0, 1, 2, 4, 3, 3, 1, 0, 1, 2, 0, 0, 3, 2, 0, 0, 0, 2, 4, 2, 2, 0, 3, 2, 4, 1, 1, 4, 3, 0, 0, 0, 4, 2, 1, 2, 4, 4, 4, 1, 4, 4, 0, 1, 3, 3, 4, 1, 2, 0, 3, 4, 4, 3, 0, 4, 0, 2, 2, 1, 4, 2, 2, 2, 0, 2, 1, 3, 4, 3, 1, 4, 1, 0, 3, 3, 1, 2, 4, 2, 2, 4, 2, 2, 0, 4, 3, 3, 0, 2, 1, 3, 0, 4, 0, 4, 0, 3, 0, 3, 2, 0, 3, 0, 1, 4, 3, 3, 0, 4, 4, 2, 3, 1, 2, 0, 4, 1, 3, 0, 2, 2, 3, 2, 4, 4] pubkeycol541 = [1, 0, 4, 3, 0, 4, 3, 4, 3, 0, 0, 4, 0, 1, 0, 0, 4, 3, 0, 0, 3, 0, 2, 0, 0, 0, 2, 2, 0, 2, 4, 1, 3, 2, 1, 3, 1, 2, 3, 0, 0, 0, 0, 3, 3, 2, 2, 3, 0, 2, 3, 1, 3, 0, 0, 3, 3, 2, 0, 1, 1, 0, 1, 0, 3, 1, 0, 2, 1, 4, 2, 0, 4, 2, 3, 2, 0, 2, 3, 0, 3, 4, 4, 0, 1, 3, 1, 2, 2, 0, 2, 0, 0, 3, 4, 1, 2, 3, 4, 3, 2, 2, 1, 4, 1, 1, 3, 4, 1, 0, 3, 3, 0, 4, 1, 4, 0, 1, 3, 4, 3, 2, 3, 2, 1, 3, 1, 1, 3, 1, 4, 0, 0, 2, 4, 1, 3, 0, 2, 0, 4, 4, 3, 3, 1, 2, 4, 2, 2, 4, 0, 2, 2, 0, 3, 2, 1, 3, 3, 2, 1, 4, 4, 1, 2, 0, 4, 2, 3, 2, 1, 1, 2, 0, 1, 3, 2, 0, 2, 4, 4, 1, 3, 3, 3, 1, 2, 3, 0, 1, 2, 0, 4, 1, 1, 4, 1, 4, 3, 3, 1, 3, 4, 0, 1, 2, 2, 2, 1, 4, 0, 3, 3, 4, 0, 2, 3, 4, 2, 0, 4, 3, 1, 3, 4, 2, 0, 2, 4, 3, 0, 0, 2, 0, 2, 4, 2, 1, 4, 3, 2, 3, 4, 0, 3, 4, 3, 0, 4, 3, 2, 1, 3, 3, 1, 4, 2, 2, 3, 0, 3, 2, 0, 4, 1, 2, 4, 0, 2, 3, 2, 3, 0, 4, 4, 1, 0, 3, 3, 2, 4, 1, 3, 0, 3, 4, 3, 2, 2, 4, 0, 1, 4, 2, 1, 4, 1, 2, 3, 1, 4, 1, 0, 3, 2, 0, 3, 0, 0, 4, 4, 2, 3, 4, 1, 1, 0, 2, 0, 3, 1, 1, 1, 3, 4, 2, 3, 2, 3, 1, 0, 3, 3, 1, 2, 4, 2, 2, 3, 2, 3, 0, 4, 2, 4, 1, 2, 1, 2, 4, 4, 4, 0, 1, 0, 1, 4, 1, 2, 4, 4, 2, 4, 2, 1, 4, 4, 3, 3, 0, 0, 0, 1, 0, 3, 2, 1, 2, 0, 3, 4, 4, 1, 3, 0, 3, 1, 4, 1, 1, 3, 1, 2, 1, 4, 3, 0, 4, 4, 0] pubkeycol542 = [3, 3, 1, 0, 0, 1, 3, 1, 2, 1, 3, 2, 4, 1, 0, 3, 2, 4, 0, 3, 3, 0, 4, 1, 2, 2, 1, 2, 3, 1, 4, 1, 4, 4, 1, 0, 4, 1, 2, 3, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 4, 0, 4, 0, 4, 1, 3, 3, 3, 4, 3, 3, 0, 4, 4, 4, 3, 0, 4, 3, 0, 2, 0, 1, 2, 4, 3, 3, 1, 0, 0, 3, 1, 3, 1, 4, 3, 2, 3, 2, 4, 0, 3, 4, 3, 3, 1, 0, 1, 4, 3, 0, 1, 3, 0, 3, 2, 3, 4, 3, 2, 2, 2, 4, 1, 0, 0, 1, 3, 3, 2, 3, 4, 0, 0, 3, 4, 2, 0, 2, 0, 0, 3, 2, 0, 0, 0, 4, 1, 3, 4, 3, 3, 4, 3, 4, 2, 0, 1, 0, 0, 3, 1, 2, 4, 0, 1, 4, 1, 2, 1, 1, 4, 3, 1, 1, 3, 1, 0, 1, 3, 2, 3, 1, 1, 3, 2, 1, 3, 0, 1, 3, 4, 1, 0, 3, 3, 3, 4, 1, 4, 3, 4, 0, 2, 3, 3, 1, 4, 3, 0, 4, 2, 1, 0, 0, 3, 1, 1, 2, 3, 2, 0, 1, 1, 3, 1, 2, 4, 0, 0, 2, 4, 4, 4, 3, 1, 4, 0, 0, 0, 4, 4, 1, 3, 0, 3, 4, 1, 2, 1, 4, 4, 0, 4, 1, 3, 3, 1, 1, 3, 0, 0, 4, 1, 1, 1, 2, 4, 4, 3, 0, 1, 4, 4, 0, 0, 0, 1, 0, 3, 1, 1, 4, 4, 0, 2, 4, 3, 1, 1, 2, 3, 4, 2, 0, 1, 2, 3, 3, 4, 2, 4, 3, 2, 3, 0, 1, 3, 1, 1, 2, 1, 1, 4, 4, 1, 2, 1, 4, 0, 0, 0, 1, 1, 4, 3, 4, 2, 4, 4, 0, 3, 2, 1, 0, 3, 3, 3, 2, 3, 0, 1, 4, 4, 1, 4, 2, 2, 4, 1, 1, 3, 3, 1, 4, 4, 1, 0, 1, 2, 0, 3, 3, 1, 2, 1, 4, 2, 4, 4, 2, 4, 4, 0, 1, 1, 3, 1, 3, 2, 0, 2, 4, 0, 3, 1, 4, 3, 4, 3, 2, 3, 1, 3, 0, 1, 4, 3, 4, 1, 3, 0, 4, 0, 0] pubkeycol543 = [1, 1, 0, 1, 4, 2, 4, 4, 1, 4, 0, 1, 3, 3, 0, 3, 4, 1, 3, 1, 4, 2, 0, 1, 1, 1, 0, 1, 1, 1, 3, 1, 1, 0, 1, 2, 4, 3, 0, 4, 2, 1, 1, 3, 3, 4, 2, 4, 2, 2, 3, 0, 3, 2, 3, 2, 4, 2, 4, 0, 3, 3, 2, 2, 0, 1, 3, 1, 4, 1, 1, 4, 4, 3, 3, 1, 4, 2, 3, 3, 1, 1, 3, 4, 1, 4, 4, 4, 4, 4, 0, 3, 4, 0, 3, 0, 3, 1, 3, 0, 4, 2, 4, 4, 0, 4, 0, 4, 3, 4, 2, 4, 3, 0, 2, 4, 1, 2, 2, 3, 3, 1, 1, 4, 0, 3, 3, 4, 1, 3, 0, 1, 3, 0, 0, 1, 3, 0, 1, 4, 2, 1, 4, 0, 2, 4, 4, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 4, 2, 1, 3, 0, 3, 3, 2, 0, 0, 1, 0, 3, 4, 3, 0, 2, 3, 0, 4, 3, 2, 0, 4, 1, 1, 4, 0, 0, 0, 4, 4, 3, 4, 2, 0, 3, 1, 0, 2, 0, 4, 3, 0, 3, 4, 2, 2, 0, 0, 1, 1, 4, 4, 1, 3, 1, 0, 0, 2, 1, 3, 0, 1, 2, 0, 3, 1, 1, 3, 4, 3, 1, 4, 0, 1, 3, 1, 4, 2, 2, 1, 0, 1, 4, 1, 4, 3, 1, 1, 1, 2, 2, 2, 4, 3, 3, 1, 4, 2, 4, 2, 2, 1, 2, 1, 1, 3, 0, 4, 0, 4, 3, 3, 2, 1, 1, 4, 4, 0, 1, 0, 3, 4, 2, 2, 3, 0, 0, 4, 1, 2, 2, 4, 0, 0, 4, 2, 0, 0, 0, 2, 4, 0, 3, 4, 0, 2, 1, 1, 2, 1, 0, 2, 4, 2, 2, 0, 1, 2, 3, 4, 0, 2, 3, 3, 3, 2, 4, 2, 2, 3, 3, 0, 3, 2, 0, 4, 1, 3, 1, 2, 2, 2, 1, 3, 3, 0, 4, 3, 0, 0, 4, 3, 1, 3, 1, 0, 2, 3, 4, 4, 4, 0, 3, 3, 4, 2, 2, 4, 1, 1, 2, 0, 0, 4, 3, 0, 3, 0, 4, 2, 3, 0, 3, 4, 2, 3, 3, 0, 0, 3, 2, 2, 0, 4, 4, 0, 0, 0, 2, 0, 0] pubkeycol544 = [4, 0, 4, 4, 0, 2, 1, 1, 2, 3, 4, 1, 1, 3, 3, 1, 3, 2, 4, 4, 1, 3, 0, 1, 2, 0, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 4, 1, 4, 0, 4, 0, 3, 3, 3, 4, 1, 3, 2, 1, 3, 4, 1, 1, 0, 2, 4, 4, 3, 3, 2, 3, 4, 0, 4, 4, 2, 0, 4, 0, 1, 4, 4, 0, 2, 2, 4, 3, 3, 1, 2, 2, 4, 3, 4, 0, 4, 1, 3, 2, 3, 3, 3, 1, 2, 4, 0, 2, 3, 2, 3, 0, 0, 4, 2, 3, 0, 0, 0, 0, 3, 2, 2, 1, 3, 1, 0, 3, 4, 4, 3, 4, 0, 0, 0, 1, 4, 1, 1, 2, 1, 0, 0, 4, 0, 2, 0, 4, 0, 2, 0, 3, 1, 3, 4, 4, 0, 2, 1, 0, 3, 0, 4, 1, 3, 2, 0, 1, 0, 0, 3, 0, 3, 3, 3, 2, 4, 3, 0, 3, 3, 2, 0, 4, 1, 1, 3, 4, 0, 4, 4, 4, 1, 4, 2, 1, 2, 3, 0, 1, 0, 0, 3, 0, 0, 0, 4, 0, 1, 3, 4, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 4, 4, 2, 4, 1, 1, 4, 0, 2, 0, 4, 2, 3, 2, 4, 4, 0, 4, 1, 1, 0, 3, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 4, 4, 3, 2, 4, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 3, 0, 0, 2, 4, 0, 2, 0, 1, 2, 0, 2, 3, 2, 2, 2, 4, 1, 0, 3, 0, 3, 2, 0, 3, 1, 3, 2, 0, 3, 4, 1, 3, 4, 2, 0, 4, 4, 0, 4, 3, 4, 3, 1, 0, 1, 3, 3, 1, 1, 0, 0, 0, 0, 3, 2, 3, 3, 2, 2, 0, 2, 4, 1, 0, 0, 1, 4, 0, 2, 1, 3, 4, 1, 2, 2, 2, 2, 3, 4, 4, 3, 0, 2, 3, 3, 2, 2, 2, 2, 4, 4, 2, 0, 2, 1, 4, 4, 2, 3, 2, 1, 3, 0, 1, 3, 0, 3, 0, 1, 4, 0, 3, 0, 0, 3, 3, 2, 0, 1, 3, 0, 3, 3, 2, 0, 0, 0, 1, 3, 2, 3, 4, 2, 2, 4] pubkeycol545 = [0, 3, 1, 1, 1, 3, 4, 1, 4, 2, 1, 4, 2, 3, 0, 2, 0, 1, 0, 2, 0, 4, 1, 2, 3, 0, 3, 0, 0, 1, 1, 4, 3, 1, 2, 3, 0, 4, 1, 0, 4, 1, 3, 0, 1, 1, 1, 1, 3, 3, 4, 3, 4, 2, 1, 2, 1, 0, 3, 4, 0, 0, 0, 3, 0, 3, 3, 4, 3, 0, 2, 1, 0, 3, 4, 4, 1, 3, 1, 0, 4, 2, 3, 1, 3, 2, 1, 3, 3, 0, 0, 2, 0, 3, 4, 2, 1, 2, 0, 1, 0, 0, 2, 0, 3, 2, 2, 2, 4, 1, 1, 1, 4, 3, 2, 2, 0, 3, 3, 4, 3, 4, 4, 3, 2, 1, 0, 3, 0, 3, 0, 3, 0, 1, 1, 0, 3, 1, 2, 0, 3, 4, 2, 4, 2, 2, 0, 1, 1, 2, 3, 0, 1, 1, 4, 0, 4, 3, 0, 1, 1, 0, 4, 3, 3, 4, 1, 3, 0, 1, 1, 4, 1, 4, 0, 1, 2, 4, 4, 1, 3, 4, 3, 1, 3, 0, 2, 0, 2, 0, 3, 1, 4, 1, 4, 4, 4, 1, 4, 4, 4, 3, 3, 2, 1, 4, 1, 0, 3, 4, 1, 0, 0, 4, 0, 3, 3, 0, 4, 4, 0, 1, 4, 2, 0, 4, 3, 3, 2, 0, 4, 3, 3, 1, 2, 1, 3, 4, 2, 0, 2, 1, 4, 4, 2, 4, 2, 0, 0, 2, 4, 2, 0, 2, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 0, 0, 3, 4, 0, 3, 3, 3, 1, 2, 4, 2, 4, 3, 0, 0, 2, 2, 1, 4, 4, 3, 4, 0, 4, 3, 3, 1, 1, 3, 4, 0, 1, 1, 1, 0, 1, 4, 0, 2, 4, 0, 3, 2, 0, 0, 0, 3, 0, 1, 2, 2, 4, 0, 2, 1, 3, 3, 4, 3, 3, 3, 4, 2, 2, 3, 4, 1, 0, 3, 1, 3, 4, 0, 3, 4, 2, 3, 4, 1, 4, 0, 4, 1, 1, 2, 3, 3, 3, 1, 2, 3, 1, 0, 0, 4, 4, 4, 0, 4, 0, 2, 2, 4, 1, 0, 2, 3, 2, 1, 0, 0, 2, 0, 3, 0, 4, 4, 0, 1, 0, 4, 4, 4, 3, 1, 1, 2, 3, 3, 0, 3, 0, 2, 4, 1] pubkeycol546 = [1, 3, 2, 4, 0, 4, 1, 0, 3, 4, 2, 3, 3, 4, 4, 0, 3, 0, 2, 1, 4, 1, 2, 2, 4, 1, 2, 4, 1, 3, 1, 1, 4, 1, 2, 2, 3, 2, 0, 1, 3, 4, 1, 3, 3, 3, 4, 3, 0, 0, 0, 4, 2, 0, 3, 0, 0, 1, 0, 2, 0, 1, 0, 2, 3, 1, 1, 3, 0, 4, 2, 4, 2, 4, 0, 3, 4, 4, 0, 4, 0, 4, 4, 1, 0, 0, 2, 0, 4, 3, 0, 2, 4, 1, 2, 2, 2, 2, 0, 1, 1, 4, 0, 2, 4, 3, 2, 3, 4, 1, 1, 3, 0, 4, 0, 0, 4, 1, 3, 4, 2, 2, 1, 3, 1, 3, 1, 3, 2, 3, 1, 0, 2, 4, 1, 3, 2, 0, 1, 1, 2, 3, 3, 0, 1, 0, 1, 3, 1, 0, 1, 4, 0, 4, 0, 1, 4, 0, 0, 3, 4, 3, 2, 2, 1, 0, 1, 1, 3, 3, 2, 3, 1, 0, 2, 3, 4, 1, 0, 2, 0, 4, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 4, 2, 4, 1, 2, 3, 3, 0, 2, 3, 0, 0, 4, 1, 1, 2, 2, 1, 3, 1, 4, 3, 3, 2, 4, 4, 2, 3, 0, 1, 1, 4, 3, 4, 4, 1, 3, 1, 0, 3, 0, 1, 0, 2, 2, 3, 0, 1, 2, 2, 4, 1, 2, 4, 3, 3, 1, 2, 4, 0, 0, 3, 3, 3, 1, 1, 3, 4, 0, 2, 4, 4, 3, 0, 4, 4, 0, 4, 1, 3, 4, 4, 2, 4, 0, 3, 4, 4, 3, 4, 0, 3, 1, 4, 0, 3, 3, 4, 0, 1, 4, 2, 4, 4, 4, 3, 2, 2, 0, 3, 3, 1, 2, 3, 3, 1, 4, 2, 4, 2, 3, 2, 0, 3, 4, 3, 0, 3, 2, 1, 4, 2, 1, 0, 2, 1, 0, 1, 2, 4, 2, 1, 4, 0, 0, 4, 0, 1, 2, 3, 0, 0, 2, 2, 0, 2, 1, 2, 4, 2, 1, 4, 2, 1, 4, 1, 4, 3, 4, 4, 4, 4, 3, 4, 3, 0, 2, 2, 0, 1, 2, 3, 1, 0, 4, 3, 3, 3, 1, 0, 0, 0, 0, 3, 4, 3, 4, 3, 4, 0, 3, 1, 4, 4, 1, 4, 0] pubkeycol547 = [4, 2, 4, 0, 4, 3, 4, 4, 3, 4, 2, 1, 2, 3, 3, 4, 4, 3, 3, 3, 1, 4, 2, 1, 4, 0, 1, 0, 0, 1, 4, 0, 1, 2, 2, 0, 4, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 3, 0, 1, 3, 2, 4, 0, 3, 1, 3, 4, 4, 4, 3, 0, 0, 1, 2, 4, 2, 3, 2, 3, 1, 0, 1, 3, 1, 2, 0, 3, 3, 2, 4, 2, 1, 2, 4, 4, 1, 4, 4, 4, 2, 1, 4, 4, 3, 2, 3, 4, 1, 1, 1, 3, 0, 4, 3, 4, 4, 0, 1, 3, 4, 3, 2, 1, 0, 4, 2, 2, 2, 0, 1, 0, 3, 2, 3, 1, 1, 1, 1, 0, 0, 3, 2, 4, 3, 1, 1, 3, 0, 2, 0, 2, 0, 1, 4, 3, 3, 4, 1, 3, 1, 0, 2, 0, 0, 0, 3, 4, 2, 3, 3, 2, 3, 4, 4, 0, 4, 4, 0, 1, 0, 0, 4, 0, 4, 0, 2, 4, 4, 0, 1, 1, 0, 3, 2, 2, 0, 2, 1, 0, 1, 3, 3, 3, 1, 4, 0, 2, 4, 2, 4, 0, 3, 4, 0, 2, 4, 4, 3, 1, 1, 3, 2, 4, 1, 4, 3, 1, 1, 0, 3, 2, 4, 0, 3, 3, 3, 4, 3, 4, 1, 4, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 2, 2, 1, 3, 1, 1, 0, 1, 4, 3, 1, 3, 1, 3, 4, 3, 3, 4, 4, 2, 1, 4, 4, 2, 0, 3, 4, 2, 0, 2, 1, 0, 2, 4, 4, 4, 4, 0, 2, 1, 1, 4, 1, 1, 2, 0, 3, 4, 0, 4, 3, 0, 3, 4, 4, 2, 0, 3, 1, 0, 4, 1, 1, 2, 0, 0, 3, 0, 1, 2, 0, 3, 3, 3, 4, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 3, 0, 4, 2, 2, 2, 2, 0, 0, 4, 4, 2, 0, 4, 2, 4, 1, 3, 2, 2, 4, 2, 0, 0, 0, 4, 1, 4, 0, 1, 2, 4, 4, 4, 1, 3, 3, 2, 1, 0, 4, 1, 2, 2, 0, 2, 1, 2, 3, 2, 3, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 0, 3, 1, 4, 3, 0, 4] pubkeycol548 = [4, 4, 2, 2, 2, 4, 2, 1, 0, 2, 3, 3, 1, 2, 3, 0, 0, 4, 1, 4, 2, 0, 3, 1, 1, 2, 3, 4, 0, 2, 2, 1, 0, 2, 1, 1, 2, 4, 2, 3, 1, 2, 1, 1, 2, 3, 2, 1, 3, 3, 3, 4, 0, 3, 4, 0, 3, 4, 1, 0, 0, 0, 2, 3, 1, 4, 3, 1, 0, 4, 0, 1, 4, 1, 2, 1, 1, 0, 4, 0, 2, 4, 0, 0, 0, 4, 2, 0, 0, 1, 2, 3, 0, 1, 3, 0, 4, 2, 4, 1, 2, 0, 0, 1, 0, 2, 3, 3, 4, 2, 2, 1, 0, 0, 2, 4, 4, 2, 2, 4, 0, 3, 1, 0, 0, 4, 3, 4, 1, 4, 2, 3, 2, 0, 4, 1, 0, 3, 0, 1, 3, 1, 3, 2, 4, 1, 1, 4, 3, 1, 3, 2, 1, 2, 3, 3, 1, 1, 1, 4, 4, 0, 1, 2, 2, 4, 4, 3, 3, 1, 0, 1, 0, 3, 2, 1, 2, 1, 4, 3, 0, 3, 1, 3, 1, 1, 3, 0, 2, 4, 4, 1, 4, 4, 3, 3, 2, 2, 1, 1, 4, 0, 2, 4, 0, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 2, 3, 1, 2, 2, 1, 1, 3, 0, 4, 0, 1, 1, 1, 0, 2, 2, 4, 0, 2, 3, 3, 4, 1, 4, 0, 3, 0, 0, 2, 2, 0, 1, 0, 1, 4, 0, 3, 1, 4, 2, 4, 4, 3, 2, 2, 0, 3, 4, 4, 3, 0, 0, 2, 0, 3, 2, 4, 2, 2, 1, 2, 3, 1, 1, 4, 0, 4, 4, 2, 0, 0, 0, 0, 2, 4, 0, 4, 2, 3, 2, 0, 2, 2, 4, 0, 4, 3, 4, 0, 0, 0, 1, 2, 4, 3, 1, 3, 4, 1, 4, 2, 3, 0, 3, 2, 1, 0, 4, 0, 0, 0, 4, 3, 0, 0, 2, 2, 2, 4, 3, 1, 1, 4, 3, 0, 3, 2, 3, 4, 1, 4, 4, 3, 0, 4, 1, 4, 2, 1, 4, 1, 4, 2, 3, 0, 3, 3, 3, 4, 2, 0, 0, 0, 0, 4, 4, 3, 1, 1, 4, 4, 2, 2, 4, 4, 0, 3, 2, 4, 2, 2, 0, 1, 0, 3, 2, 2, 3, 3, 0, 3, 3, 1, 3] pubkeycol549 = [1, 3, 3, 3, 2, 0, 3, 4, 4, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 2, 3, 4, 2, 4, 0, 1, 4, 1, 3, 4, 4, 0, 3, 0, 0, 0, 1, 0, 4, 4, 3, 0, 4, 4, 1, 1, 1, 1, 1, 3, 0, 3, 0, 2, 0, 2, 3, 1, 0, 4, 4, 0, 2, 4, 0, 4, 0, 0, 1, 1, 1, 2, 1, 2, 3, 4, 0, 0, 0, 1, 2, 0, 0, 2, 1, 4, 1, 4, 1, 0, 3, 2, 0, 2, 4, 2, 0, 4, 4, 1, 2, 1, 2, 3, 4, 2, 2, 3, 3, 3, 3, 0, 1, 3, 1, 2, 4, 4, 3, 2, 0, 1, 4, 1, 3, 1, 2, 1, 2, 4, 1, 4, 3, 2, 1, 4, 0, 3, 4, 1, 4, 4, 0, 2, 0, 3, 1, 0, 2, 2, 1, 0, 1, 3, 2, 0, 3, 0, 1, 3, 0, 1, 4, 1, 1, 3, 4, 4, 2, 1, 1, 1, 3, 1, 1, 2, 4, 3, 4, 1, 0, 0, 0, 2, 4, 1, 1, 4, 2, 1, 0, 2, 3, 3, 2, 3, 1, 2, 1, 3, 1, 2, 2, 4, 4, 0, 2, 0, 3, 2, 1, 1, 1, 2, 1, 0, 3, 1, 4, 3, 0, 3, 4, 0, 2, 0, 2, 2, 1, 2, 3, 2, 0, 3, 1, 0, 0, 4, 4, 4, 0, 1, 0, 2, 3, 3, 3, 0, 4, 1, 2, 4, 3, 1, 1, 1, 0, 3, 1, 2, 1, 0, 2, 4, 0, 1, 1, 0, 1, 4, 0, 1, 3, 2, 0, 0, 4, 0, 2, 0, 3, 0, 3, 0, 2, 0, 0, 4, 0, 0, 3, 3, 0, 1, 3, 4, 1, 4, 3, 4, 0, 3, 1, 1, 0, 3, 3, 0, 2, 0, 3, 0, 1, 2, 4, 4, 0, 2, 2, 2, 3, 4, 0, 3, 3, 1, 2, 4, 2, 3, 2, 1, 3, 1, 1, 1, 2, 2, 0, 2, 2, 4, 3, 3, 1, 4, 1, 1, 1, 4, 1, 4, 0, 1, 4, 0, 4, 3, 3, 2, 1, 3, 0, 4, 4, 1, 1, 2, 0, 0, 0, 0, 3, 2, 3, 1, 1, 0, 0, 4, 2, 3, 4, 3, 1, 2, 1, 2, 1, 4, 0, 1, 4, 0, 1, 3] pubkeycol550 = [3, 2, 2, 1, 1, 2, 4, 2, 2, 2, 2, 2, 2, 0, 4, 3, 0, 4, 2, 4, 0, 2, 1, 0, 2, 2, 1, 0, 3, 0, 0, 4, 3, 1, 1, 0, 1, 4, 0, 0, 0, 3, 0, 0, 2, 0, 1, 3, 4, 2, 2, 0, 3, 3, 0, 2, 0, 4, 4, 1, 2, 0, 1, 2, 1, 0, 1, 4, 0, 0, 1, 4, 4, 0, 3, 4, 1, 3, 2, 2, 0, 2, 4, 2, 2, 4, 3, 3, 1, 1, 2, 1, 4, 2, 3, 2, 4, 3, 4, 2, 0, 2, 4, 0, 2, 3, 0, 4, 2, 2, 1, 2, 3, 4, 0, 4, 1, 4, 4, 2, 3, 4, 0, 1, 4, 1, 0, 1, 2, 1, 3, 0, 3, 2, 2, 4, 0, 3, 3, 3, 1, 0, 1, 4, 4, 1, 0, 0, 3, 0, 3, 2, 0, 3, 1, 0, 3, 0, 3, 0, 3, 2, 2, 2, 0, 0, 1, 1, 2, 1, 4, 0, 4, 2, 2, 2, 4, 2, 4, 0, 1, 3, 1, 4, 1, 4, 2, 0, 0, 1, 2, 4, 0, 3, 3, 0, 1, 1, 2, 4, 3, 3, 4, 4, 0, 1, 2, 3, 1, 2, 3, 1, 0, 3, 2, 0, 4, 2, 4, 0, 0, 3, 4, 0, 1, 0, 2, 2, 0, 1, 4, 3, 1, 2, 0, 2, 1, 2, 1, 1, 4, 2, 0, 3, 3, 1, 2, 2, 4, 3, 4, 1, 0, 4, 2, 2, 0, 1, 0, 2, 1, 4, 2, 1, 2, 1, 3, 1, 4, 2, 4, 1, 2, 2, 3, 4, 0, 2, 1, 4, 4, 3, 3, 1, 3, 0, 2, 3, 4, 1, 4, 3, 4, 0, 1, 2, 2, 2, 2, 1, 0, 2, 4, 2, 0, 3, 1, 1, 0, 0, 1, 4, 2, 2, 2, 2, 0, 3, 3, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 4, 0, 4, 2, 1, 3, 2, 1, 4, 0, 2, 4, 2, 1, 4, 0, 0, 2, 4, 1, 2, 3, 0, 4, 0, 3, 1, 4, 2, 3, 4, 0, 4, 1, 1, 0, 3, 4, 0, 2, 2, 0, 1, 0, 3, 2, 3, 4, 4, 3, 2, 2, 1, 2, 3, 0, 4, 1, 1, 0, 0, 3, 0, 4, 4, 1, 3, 4, 2] pubkeycol551 = [4, 1, 3, 1, 2, 0, 4, 3, 1, 0, 1, 4, 1, 3, 2, 4, 3, 2, 0, 1, 1, 3, 0, 1, 4, 3, 2, 2, 1, 4, 1, 2, 0, 3, 3, 3, 4, 0, 1, 3, 3, 3, 3, 4, 2, 4, 2, 0, 1, 3, 1, 3, 2, 3, 1, 2, 2, 0, 0, 2, 4, 1, 4, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 4, 2, 3, 0, 3, 1, 0, 3, 4, 2, 0, 0, 1, 0, 3, 3, 2, 2, 4, 3, 0, 2, 2, 1, 2, 4, 4, 3, 1, 0, 1, 2, 0, 4, 0, 3, 2, 4, 1, 1, 2, 4, 0, 4, 3, 4, 2, 2, 2, 0, 0, 2, 2, 3, 3, 3, 0, 4, 1, 0, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 3, 3, 2, 0, 4, 1, 2, 1, 1, 0, 1, 3, 3, 1, 4, 4, 0, 3, 4, 1, 4, 0, 4, 1, 2, 0, 3, 2, 3, 3, 1, 0, 3, 0, 3, 4, 2, 4, 3, 1, 4, 4, 1, 0, 0, 0, 2, 3, 1, 3, 0, 1, 3, 0, 4, 1, 4, 4, 2, 2, 2, 3, 0, 0, 3, 4, 1, 0, 4, 4, 1, 3, 2, 2, 2, 4, 2, 1, 4, 3, 2, 1, 0, 3, 3, 0, 1, 3, 4, 0, 4, 3, 3, 4, 4, 3, 4, 2, 3, 3, 2, 3, 2, 1, 4, 1, 4, 3, 3, 2, 2, 4, 0, 0, 2, 4, 3, 0, 1, 4, 3, 0, 3, 2, 4, 2, 3, 0, 0, 0, 1, 1, 0, 4, 4, 2, 0, 0, 2, 3, 0, 3, 1, 4, 2, 0, 3, 2, 3, 0, 0, 3, 4, 3, 3, 2, 1, 3, 3, 3, 0, 4, 4, 4, 2, 1, 1, 1, 3, 0, 3, 2, 0, 2, 0, 1, 3, 0, 2, 2, 4, 4, 1, 2, 3, 0, 0, 2, 0, 2, 0, 4, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 3, 2, 4, 4, 0, 1, 1, 3, 0, 4, 3, 3, 4, 3, 0, 2, 1, 4, 0, 0, 4, 2, 0, 2, 1, 3, 4, 1, 4, 1, 2, 3, 1, 3, 4, 0, 4, 4, 4, 4, 0, 1, 2, 2, 0, 1, 0, 3, 2, 1, 0, 2] pubkeycol552 = [2, 1, 4, 2, 4, 1, 1, 1, 2, 3, 2, 0, 4, 0, 3, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 2, 3, 0, 3, 3, 1, 3, 3, 0, 3, 3, 0, 3, 3, 1, 2, 1, 0, 3, 4, 4, 4, 0, 2, 1, 1, 4, 0, 4, 0, 3, 4, 2, 3, 4, 2, 4, 3, 1, 2, 2, 0, 0, 1, 4, 4, 1, 0, 0, 1, 4, 2, 1, 3, 0, 3, 2, 2, 4, 0, 4, 4, 4, 2, 2, 1, 3, 2, 0, 0, 0, 2, 4, 3, 1, 1, 3, 3, 1, 1, 2, 2, 1, 4, 2, 3, 4, 4, 0, 1, 1, 4, 3, 1, 1, 3, 2, 1, 2, 4, 0, 3, 1, 4, 3, 2, 0, 2, 0, 2, 4, 1, 1, 4, 2, 3, 1, 1, 3, 4, 0, 4, 4, 1, 0, 4, 1, 0, 1, 2, 4, 0, 4, 3, 4, 3, 3, 1, 3, 0, 2, 4, 4, 4, 0, 1, 3, 2, 2, 2, 4, 0, 1, 0, 2, 3, 4, 1, 2, 0, 2, 1, 3, 3, 4, 0, 3, 0, 1, 4, 3, 2, 2, 0, 4, 0, 4, 2, 4, 4, 2, 4, 0, 0, 2, 1, 1, 4, 0, 1, 2, 1, 2, 3, 1, 1, 2, 3, 2, 3, 3, 2, 1, 2, 1, 4, 4, 2, 3, 4, 1, 4, 1, 1, 3, 0, 4, 4, 1, 2, 0, 2, 1, 3, 3, 3, 0, 2, 2, 1, 1, 4, 2, 1, 1, 3, 3, 3, 1, 3, 1, 0, 0, 0, 0, 0, 1, 4, 2, 1, 0, 4, 2, 2, 4, 3, 4, 0, 2, 4, 1, 1, 3, 2, 3, 2, 1, 2, 4, 1, 2, 4, 3, 4, 2, 4, 2, 3, 3, 3, 4, 1, 3, 1, 4, 0, 1, 3, 1, 2, 1, 0, 4, 0, 3, 4, 3, 2, 2, 2, 0, 3, 2, 1, 2, 4, 1, 3, 1, 4, 3, 0, 3, 4, 2, 3, 0, 2, 1, 0, 3, 2, 1, 1, 3, 2, 4, 3, 4, 1, 2, 4, 1, 2, 1, 3, 1, 1, 2, 3, 0, 0, 4, 2, 4, 3, 3, 0, 1, 0, 4, 2, 4, 2, 0, 4, 3, 3, 1, 4, 0, 1, 2, 0, 4, 2, 4, 0, 4, 4, 4, 0, 3, 2, 0] pubkeycol553 = [1, 1, 0, 2, 0, 2, 4, 3, 1, 0, 2, 1, 1, 4, 1, 3, 3, 3, 0, 2, 1, 1, 4, 4, 3, 4, 1, 1, 1, 4, 3, 3, 4, 0, 4, 4, 2, 3, 2, 2, 3, 2, 1, 3, 1, 0, 1, 2, 0, 0, 3, 4, 4, 4, 4, 1, 1, 2, 0, 3, 3, 4, 0, 1, 1, 4, 1, 4, 2, 4, 2, 1, 1, 4, 1, 0, 4, 4, 4, 1, 0, 4, 3, 3, 3, 4, 2, 3, 3, 4, 3, 2, 3, 0, 2, 0, 4, 1, 4, 1, 0, 3, 1, 0, 1, 0, 2, 4, 4, 3, 2, 3, 0, 3, 3, 1, 4, 0, 3, 1, 4, 1, 0, 2, 0, 4, 0, 0, 2, 3, 1, 1, 1, 4, 2, 0, 2, 0, 3, 0, 1, 3, 1, 2, 3, 1, 0, 3, 0, 4, 4, 3, 2, 1, 4, 2, 1, 1, 3, 3, 1, 0, 2, 1, 0, 3, 0, 4, 1, 1, 1, 3, 0, 2, 4, 4, 0, 0, 3, 4, 3, 3, 2, 3, 2, 2, 1, 4, 4, 3, 0, 2, 3, 0, 2, 3, 2, 4, 2, 2, 2, 1, 1, 4, 1, 2, 3, 4, 3, 0, 1, 1, 3, 0, 3, 4, 2, 2, 0, 4, 4, 1, 4, 3, 3, 1, 3, 4, 2, 2, 0, 3, 4, 3, 1, 2, 2, 1, 3, 1, 1, 2, 2, 4, 4, 0, 0, 1, 2, 0, 3, 2, 0, 3, 2, 0, 2, 1, 4, 1, 1, 3, 4, 2, 0, 3, 3, 2, 4, 2, 3, 4, 1, 0, 1, 0, 3, 2, 2, 3, 3, 0, 3, 3, 0, 2, 2, 1, 4, 0, 3, 0, 1, 2, 1, 3, 2, 3, 3, 4, 2, 1, 2, 0, 1, 0, 4, 2, 0, 1, 0, 0, 1, 1, 1, 4, 2, 3, 1, 3, 3, 1, 0, 2, 1, 0, 0, 4, 2, 2, 2, 2, 2, 4, 2, 1, 2, 1, 0, 4, 4, 2, 2, 1, 2, 3, 2, 3, 2, 0, 2, 3, 2, 0, 0, 4, 4, 1, 4, 4, 3, 0, 3, 2, 2, 0, 4, 4, 4, 1, 3, 3, 2, 3, 0, 4, 3, 4, 2, 4, 2, 1, 0, 0, 2, 0, 3, 3, 4, 4, 2, 4, 3, 1, 1, 4, 2, 1, 2, 4] pubkeycol554 = [0, 2, 4, 0, 3, 2, 1, 4, 3, 0, 3, 1, 2, 2, 2, 0, 4, 2, 0, 3, 2, 4, 2, 2, 3, 1, 4, 4, 2, 3, 3, 2, 4, 2, 4, 3, 4, 1, 2, 1, 3, 1, 2, 3, 3, 1, 2, 0, 4, 3, 3, 2, 4, 1, 0, 1, 3, 0, 2, 3, 1, 4, 3, 2, 3, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 4, 2, 3, 2, 1, 3, 2, 0, 1, 0, 3, 2, 2, 3, 2, 0, 0, 4, 1, 1, 2, 1, 4, 0, 2, 0, 3, 3, 3, 3, 1, 1, 2, 4, 1, 0, 0, 2, 0, 0, 4, 3, 3, 3, 1, 1, 2, 3, 0, 0, 2, 2, 3, 2, 1, 3, 3, 0, 0, 4, 0, 2, 0, 0, 2, 0, 2, 1, 4, 0, 3, 1, 0, 1, 4, 4, 2, 2, 0, 1, 2, 1, 0, 0, 3, 2, 0, 2, 2, 4, 1, 1, 1, 2, 1, 4, 0, 2, 1, 2, 0, 4, 0, 2, 2, 1, 4, 1, 2, 0, 2, 3, 0, 1, 3, 2, 4, 1, 4, 2, 3, 2, 4, 4, 3, 1, 2, 2, 2, 0, 2, 2, 4, 4, 4, 3, 4, 4, 1, 2, 4, 1, 4, 2, 1, 0, 0, 3, 0, 2, 4, 3, 1, 3, 4, 0, 2, 2, 0, 4, 0, 4, 4, 3, 4, 0, 2, 3, 1, 3, 3, 3, 4, 4, 1, 0, 3, 1, 1, 4, 0, 2, 0, 3, 2, 0, 1, 2, 2, 2, 0, 1, 4, 3, 4, 1, 3, 3, 2, 1, 3, 0, 4, 1, 1, 3, 1, 2, 0, 2, 2, 4, 2, 3, 1, 1, 4, 3, 4, 4, 0, 2, 2, 3, 3, 1, 3, 1, 2, 1, 4, 3, 1, 0, 4, 3, 0, 0, 4, 2, 3, 2, 3, 1, 0, 3, 3, 2, 0, 3, 3, 3, 3, 1, 4, 1, 0, 0, 2, 0, 3, 0, 2, 2, 2, 2, 1, 3, 3, 3, 4, 1, 2, 3, 3, 3, 0, 0, 0, 1, 2, 2, 4, 3, 2, 4, 4, 2, 2, 3, 3, 3, 1, 4, 2, 4, 3, 0, 2, 1, 1, 2, 3, 1, 0, 4, 4, 4, 4, 3, 0, 2, 1, 4, 1, 2, 0, 2] pubkeycol555 = [4, 2, 0, 0, 4, 3, 1, 2, 4, 4, 1, 3, 0, 0, 3, 1, 4, 2, 2, 4, 0, 4, 2, 4, 3, 1, 1, 2, 3, 4, 0, 2, 2, 4, 3, 2, 0, 2, 2, 3, 3, 0, 4, 3, 0, 1, 0, 0, 3, 3, 2, 2, 2, 2, 4, 1, 3, 1, 3, 3, 1, 1, 3, 2, 3, 0, 0, 1, 4, 2, 2, 0, 4, 2, 1, 4, 2, 1, 3, 4, 4, 0, 4, 0, 3, 3, 3, 2, 0, 4, 2, 3, 2, 3, 3, 3, 1, 4, 2, 3, 4, 2, 4, 2, 1, 4, 3, 3, 0, 4, 0, 0, 3, 1, 2, 2, 0, 4, 4, 4, 4, 2, 1, 1, 4, 4, 4, 4, 3, 0, 4, 3, 0, 4, 3, 3, 2, 2, 2, 4, 1, 4, 0, 4, 1, 1, 3, 2, 4, 2, 1, 4, 4, 2, 3, 4, 1, 1, 0, 3, 3, 0, 0, 1, 0, 3, 0, 4, 2, 1, 0, 1, 3, 1, 0, 3, 1, 4, 0, 0, 3, 2, 0, 3, 2, 2, 0, 0, 4, 1, 2, 1, 2, 0, 2, 3, 0, 2, 4, 0, 3, 3, 4, 0, 1, 4, 3, 3, 4, 2, 1, 2, 1, 1, 4, 3, 1, 2, 0, 1, 3, 0, 0, 3, 4, 1, 4, 1, 3, 0, 1, 0, 0, 2, 3, 2, 1, 0, 0, 1, 0, 4, 0, 3, 1, 4, 0, 4, 0, 3, 3, 2, 0, 0, 1, 0, 2, 0, 0, 3, 3, 3, 0, 1, 1, 0, 1, 3, 4, 3, 1, 2, 4, 1, 4, 0, 2, 1, 0, 3, 4, 4, 1, 0, 4, 1, 2, 3, 3, 4, 0, 1, 1, 0, 0, 3, 2, 2, 4, 2, 4, 2, 2, 0, 3, 1, 2, 1, 1, 4, 4, 1, 4, 3, 2, 1, 2, 3, 4, 2, 4, 0, 4, 0, 1, 0, 0, 0, 3, 4, 3, 3, 4, 1, 4, 3, 2, 1, 2, 3, 1, 1, 3, 3, 4, 1, 0, 4, 4, 4, 0, 2, 4, 1, 2, 4, 3, 0, 0, 0, 2, 3, 2, 4, 3, 1, 1, 3, 0, 2, 3, 2, 3, 0, 2, 3, 0, 3, 2, 4, 0, 4, 0, 3, 3, 1, 3, 1, 4, 1, 2, 3, 2, 0, 1, 1, 0, 3, 1, 1] pubkeycol556 = [3, 2, 3, 4, 1, 1, 2, 1, 4, 2, 2, 4, 2, 3, 2, 2, 1, 2, 2, 3, 2, 4, 2, 1, 4, 1, 0, 4, 1, 4, 0, 2, 2, 3, 1, 4, 0, 1, 0, 4, 2, 4, 3, 2, 3, 1, 2, 3, 2, 1, 2, 3, 4, 3, 0, 3, 3, 4, 3, 1, 1, 3, 2, 4, 1, 0, 4, 0, 4, 0, 3, 2, 0, 2, 3, 2, 0, 0, 4, 0, 0, 1, 4, 3, 2, 4, 3, 1, 0, 1, 2, 3, 2, 4, 0, 1, 4, 3, 3, 0, 4, 4, 0, 4, 3, 1, 0, 1, 3, 4, 0, 2, 0, 3, 3, 2, 3, 1, 0, 4, 3, 0, 0, 4, 3, 0, 3, 4, 2, 3, 1, 0, 2, 4, 3, 3, 2, 0, 4, 4, 3, 1, 4, 2, 1, 1, 2, 3, 0, 1, 4, 3, 4, 1, 1, 1, 4, 4, 3, 3, 1, 0, 0, 3, 1, 4, 1, 0, 1, 4, 0, 0, 0, 4, 0, 2, 2, 4, 3, 0, 0, 3, 0, 3, 4, 4, 1, 0, 2, 2, 4, 2, 4, 1, 2, 4, 0, 1, 3, 0, 3, 3, 3, 2, 4, 2, 1, 1, 0, 1, 3, 2, 3, 1, 1, 1, 0, 1, 4, 0, 0, 3, 0, 4, 2, 2, 4, 0, 2, 0, 0, 0, 3, 2, 2, 1, 2, 0, 0, 0, 1, 1, 4, 0, 3, 3, 4, 1, 0, 0, 0, 0, 2, 2, 2, 3, 1, 4, 0, 0, 0, 2, 4, 0, 0, 3, 4, 0, 2, 4, 1, 2, 2, 3, 3, 2, 4, 3, 0, 2, 3, 1, 2, 3, 0, 2, 0, 2, 4, 2, 1, 1, 1, 3, 3, 1, 4, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 3, 3, 2, 1, 0, 4, 0, 3, 1, 1, 3, 0, 1, 1, 4, 3, 2, 4, 3, 3, 3, 3, 0, 0, 2, 3, 4, 0, 1, 2, 2, 0, 2, 0, 1, 3, 2, 3, 4, 1, 4, 4, 2, 2, 2, 0, 3, 3, 3, 2, 4, 0, 4, 2, 4, 4, 3, 0, 1, 0, 1, 3, 3, 0, 1, 3, 0, 1, 2, 2, 0, 3, 4, 2, 0, 4, 4, 4, 3, 1, 4, 1, 0, 2, 4, 4, 2, 4, 2, 4] pubkeycol557 = [4, 3, 2, 1, 1, 1, 3, 0, 1, 2, 1, 2, 4, 4, 4, 2, 0, 1, 3, 2, 0, 1, 0, 0, 2, 2, 1, 2, 3, 4, 4, 3, 2, 3, 0, 0, 3, 4, 0, 2, 2, 2, 4, 0, 2, 1, 0, 0, 3, 0, 1, 3, 4, 4, 1, 4, 1, 3, 0, 2, 4, 4, 1, 4, 0, 2, 4, 0, 0, 2, 1, 1, 4, 4, 4, 2, 2, 1, 0, 2, 2, 2, 1, 4, 3, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 3, 1, 1, 2, 3, 2, 0, 2, 0, 2, 2, 0, 4, 1, 0, 4, 1, 4, 3, 0, 3, 0, 0, 3, 4, 3, 2, 3, 2, 1, 3, 2, 3, 4, 2, 1, 3, 1, 3, 1, 1, 4, 1, 0, 2, 0, 4, 1, 3, 1, 3, 1, 2, 4, 2, 0, 3, 2, 2, 0, 4, 2, 1, 2, 1, 2, 2, 4, 1, 1, 2, 2, 0, 1, 3, 4, 0, 2, 4, 0, 0, 0, 0, 3, 3, 3, 0, 1, 0, 3, 2, 4, 2, 4, 2, 4, 4, 2, 3, 2, 2, 4, 3, 4, 2, 3, 0, 2, 3, 4, 2, 1, 1, 1, 1, 2, 0, 4, 3, 2, 1, 1, 3, 3, 3, 1, 1, 3, 4, 4, 3, 1, 1, 0, 2, 0, 1, 1, 1, 4, 4, 3, 2, 3, 3, 2, 2, 1, 3, 0, 0, 0, 2, 4, 3, 0, 2, 3, 0, 3, 1, 2, 4, 1, 4, 0, 2, 0, 0, 3, 4, 2, 3, 1, 4, 1, 3, 0, 0, 1, 2, 2, 1, 3, 0, 4, 1, 4, 2, 0, 2, 2, 3, 1, 2, 0, 1, 1, 0, 1, 4, 1, 3, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 4, 1, 4, 0, 0, 4, 2, 0, 0, 2, 2, 2, 4, 2, 3, 0, 4, 2, 1, 0, 2, 1, 3, 3, 1, 3, 0, 0, 2, 3, 4, 4, 1, 4, 0, 4, 3, 0, 0, 0, 4, 2, 3, 0, 4, 0, 4, 2, 1, 3, 4, 2, 2, 2, 1, 0, 0, 1, 0, 4, 4, 3, 4, 0, 0, 2, 3, 3, 1, 1, 2, 0, 2, 3, 0, 3, 2, 2, 4, 3, 4, 0, 1, 0, 1, 2, 2, 0] pubkeycol558 = [3, 3, 2, 3, 1, 1, 4, 3, 4, 2, 4, 3, 4, 4, 0, 2, 4, 4, 1, 3, 1, 3, 3, 4, 4, 3, 4, 0, 2, 1, 2, 1, 1, 1, 0, 0, 4, 0, 3, 1, 1, 1, 4, 4, 0, 2, 2, 3, 4, 4, 2, 0, 2, 3, 0, 0, 4, 0, 3, 4, 0, 4, 4, 3, 4, 1, 0, 0, 1, 3, 1, 4, 2, 2, 2, 2, 3, 0, 2, 4, 2, 2, 2, 2, 4, 1, 1, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 2, 3, 1, 1, 0, 1, 0, 4, 4, 3, 3, 2, 2, 3, 1, 2, 4, 1, 4, 4, 3, 3, 3, 3, 0, 2, 4, 1, 3, 1, 4, 1, 3, 3, 3, 3, 2, 1, 0, 2, 4, 4, 3, 2, 3, 4, 1, 3, 2, 2, 0, 2, 0, 4, 3, 0, 1, 3, 0, 2, 3, 1, 0, 2, 3, 2, 2, 3, 0, 3, 1, 4, 1, 0, 2, 2, 4, 2, 2, 3, 3, 0, 1, 3, 3, 0, 0, 3, 3, 2, 0, 4, 4, 4, 4, 2, 3, 1, 4, 0, 2, 1, 1, 4, 3, 0, 4, 4, 1, 3, 1, 2, 2, 4, 4, 3, 4, 2, 4, 2, 4, 3, 4, 4, 3, 0, 0, 2, 0, 0, 4, 0, 3, 0, 0, 0, 4, 3, 1, 3, 2, 2, 1, 3, 4, 1, 2, 3, 2, 3, 1, 0, 4, 1, 1, 1, 3, 0, 1, 1, 1, 3, 3, 2, 1, 0, 4, 2, 1, 3, 0, 2, 0, 3, 1, 2, 1, 2, 4, 0, 1, 2, 2, 0, 1, 2, 4, 0, 0, 4, 3, 4, 4, 2, 3, 2, 0, 1, 3, 4, 1, 1, 1, 0, 2, 0, 4, 1, 1, 0, 2, 4, 0, 1, 3, 3, 2, 1, 1, 3, 0, 2, 3, 2, 4, 2, 0, 2, 0, 0, 3, 3, 1, 3, 3, 0, 3, 0, 2, 4, 0, 0, 3, 3, 0, 4, 1, 1, 4, 2, 4, 1, 1, 4, 2, 1, 1, 1, 2, 0, 0, 3, 1, 2, 3, 3, 3, 1, 1, 3, 2, 4, 0, 4, 4, 0, 0, 1, 4, 3, 3, 3, 2, 3, 0, 3, 1, 0, 0, 3, 3, 0, 1, 0, 0, 2, 4, 4, 3, 3, 4, 4, 0] pubkeycol559 = [1, 0, 4, 1, 2, 0, 0, 3, 0, 3, 0, 1, 2, 2, 3, 2, 4, 4, 1, 1, 3, 0, 0, 0, 4, 1, 4, 0, 0, 3, 1, 1, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 4, 2, 3, 1, 0, 4, 0, 4, 4, 2, 2, 4, 0, 0, 4, 1, 1, 0, 4, 3, 2, 1, 2, 1, 0, 3, 3, 4, 1, 0, 2, 2, 2, 2, 2, 2, 2, 3, 0, 0, 4, 4, 3, 3, 4, 3, 1, 0, 4, 3, 0, 4, 0, 4, 4, 2, 4, 1, 4, 0, 2, 0, 4, 2, 3, 2, 2, 4, 3, 4, 1, 2, 3, 2, 3, 1, 4, 0, 3, 3, 1, 2, 2, 2, 0, 4, 4, 2, 2, 4, 2, 2, 2, 1, 1, 0, 4, 3, 0, 2, 2, 3, 3, 3, 3, 1, 3, 1, 0, 1, 1, 4, 3, 2, 1, 1, 2, 0, 3, 0, 1, 0, 0, 4, 1, 1, 0, 4, 1, 0, 4, 3, 4, 1, 4, 1, 2, 0, 3, 2, 2, 3, 1, 0, 2, 3, 4, 0, 4, 3, 1, 1, 4, 3, 3, 1, 0, 0, 0, 0, 0, 2, 3, 4, 1, 1, 2, 2, 2, 4, 0, 2, 4, 2, 0, 2, 4, 2, 0, 1, 3, 3, 1, 4, 3, 2, 2, 2, 1, 4, 1, 0, 3, 3, 3, 0, 3, 3, 2, 2, 4, 3, 2, 1, 4, 4, 2, 3, 1, 1, 3, 0, 3, 2, 1, 3, 3, 4, 4, 4, 4, 4, 2, 3, 0, 3, 3, 2, 0, 3, 2, 0, 1, 3, 2, 0, 2, 2, 4, 4, 2, 2, 2, 4, 3, 4, 3, 4, 0, 2, 3, 0, 0, 2, 3, 4, 1, 0, 0, 1, 4, 3, 0, 3, 0, 0, 4, 3, 4, 1, 1, 3, 3, 1, 0, 1, 2, 2, 0, 4, 4, 1, 3, 2, 1, 2, 1, 4, 3, 1, 3, 3, 2, 1, 1, 1, 2, 3, 4, 2, 1, 3, 1, 3, 0, 0, 3, 2, 2, 4, 3, 1, 3, 0, 0, 4, 2, 4, 4, 4, 3, 2, 4, 0, 0, 4, 4, 3, 0, 2, 1, 2, 0, 4, 4, 0, 1, 1, 2, 3, 0, 3, 1, 2, 4, 3, 1, 1, 3, 0, 4, 3, 2, 4, 3, 0, 4, 4] pubkeycol560 = [0, 0, 2, 0, 0, 4, 0, 1, 1, 3, 4, 3, 2, 1, 3, 2, 3, 3, 2, 2, 4, 3, 0, 0, 3, 3, 3, 4, 3, 2, 2, 3, 2, 2, 0, 1, 1, 4, 0, 3, 0, 2, 0, 4, 1, 2, 1, 0, 1, 1, 4, 2, 3, 1, 4, 0, 4, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 3, 1, 4, 4, 0, 3, 1, 2, 3, 4, 0, 4, 1, 0, 4, 0, 2, 4, 1, 4, 0, 1, 0, 1, 3, 0, 0, 4, 0, 1, 3, 0, 2, 3, 0, 3, 0, 0, 1, 2, 0, 3, 4, 3, 1, 0, 2, 1, 0, 3, 2, 3, 4, 1, 1, 1, 4, 2, 3, 3, 0, 1, 4, 4, 1, 3, 1, 0, 0, 2, 0, 4, 2, 0, 4, 1, 1, 4, 3, 4, 2, 1, 0, 1, 4, 1, 4, 3, 0, 2, 4, 1, 3, 2, 0, 3, 0, 2, 1, 4, 3, 0, 0, 0, 0, 3, 1, 1, 2, 1, 1, 4, 2, 1, 4, 1, 2, 4, 3, 1, 3, 3, 0, 3, 1, 2, 3, 0, 0, 0, 4, 3, 1, 1, 0, 1, 1, 3, 2, 4, 0, 1, 3, 2, 4, 0, 3, 3, 2, 3, 1, 3, 3, 3, 2, 4, 0, 4, 3, 3, 2, 3, 2, 4, 4, 4, 3, 1, 1, 2, 0, 1, 2, 4, 2, 0, 4, 0, 2, 1, 0, 0, 0, 1, 4, 4, 1, 3, 1, 2, 0, 1, 2, 0, 4, 0, 3, 3, 0, 0, 4, 3, 0, 3, 3, 2, 1, 4, 3, 3, 2, 4, 0, 0, 4, 4, 3, 2, 4, 2, 3, 0, 1, 1, 2, 0, 0, 0, 2, 0, 3, 3, 1, 3, 4, 2, 4, 3, 1, 4, 4, 2, 1, 4, 1, 4, 0, 0, 4, 4, 4, 0, 0, 3, 3, 4, 4, 1, 4, 2, 4, 0, 2, 0, 0, 2, 3, 2, 1, 1, 2, 1, 3, 3, 4, 0, 2, 0, 2, 2, 0, 1, 4, 0, 3, 2, 4, 1, 0, 4, 3, 1, 4, 2, 3, 4, 0, 0, 1, 3, 3, 3, 4, 2, 1, 1, 0, 3, 3, 1, 3, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 4, 4, 0, 3, 4, 2, 0, 0, 2] pubkeycol561 = [0, 3, 4, 2, 3, 4, 3, 0, 1, 1, 4, 2, 0, 2, 0, 1, 3, 4, 4, 2, 4, 4, 1, 3, 3, 2, 2, 2, 1, 2, 0, 1, 4, 2, 3, 4, 4, 4, 2, 0, 4, 0, 2, 3, 3, 1, 1, 1, 1, 4, 3, 0, 3, 3, 3, 0, 1, 0, 0, 3, 0, 3, 1, 3, 2, 4, 2, 3, 1, 1, 0, 4, 3, 0, 0, 0, 1, 4, 1, 1, 4, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 3, 0, 3, 0, 0, 1, 3, 0, 1, 1, 4, 2, 3, 0, 2, 2, 0, 3, 2, 0, 0, 4, 0, 0, 0, 4, 1, 1, 0, 3, 1, 3, 0, 0, 1, 0, 2, 0, 1, 3, 1, 0, 1, 0, 3, 3, 2, 3, 3, 4, 0, 3, 2, 0, 1, 4, 0, 1, 4, 1, 0, 0, 0, 0, 2, 2, 3, 3, 4, 2, 3, 3, 3, 3, 4, 1, 4, 3, 3, 3, 0, 0, 0, 0, 4, 1, 1, 3, 2, 3, 3, 0, 2, 3, 0, 4, 1, 2, 4, 4, 2, 4, 3, 3, 1, 0, 1, 1, 4, 1, 3, 4, 3, 0, 0, 2, 2, 0, 1, 4, 0, 4, 2, 1, 4, 3, 3, 1, 1, 0, 2, 3, 3, 2, 1, 4, 1, 3, 3, 1, 1, 1, 4, 2, 0, 4, 0, 4, 1, 3, 2, 0, 1, 3, 3, 0, 2, 1, 1, 1, 4, 2, 3, 0, 1, 1, 0, 1, 1, 4, 3, 4, 3, 3, 1, 0, 4, 4, 4, 0, 2, 2, 0, 4, 4, 1, 4, 4, 2, 1, 1, 2, 0, 4, 1, 3, 2, 1, 0, 4, 4, 0, 2, 4, 3, 3, 1, 1, 3, 4, 0, 1, 0, 1, 3, 0, 4, 1, 1, 2, 4, 1, 0, 3, 3, 1, 1, 4, 3, 4, 4, 4, 0, 0, 2, 0, 3, 4, 1, 3, 3, 4, 4, 0, 4, 2, 0, 4, 4, 0, 1, 4, 2, 0, 3, 3, 2, 3, 3, 3, 3, 4, 4, 1, 0, 3, 2, 1, 4, 4, 2, 1, 4, 1, 3, 2, 3, 3, 1, 4, 2, 3, 3, 2, 4, 4, 1, 4, 3, 4, 4, 3, 4, 2, 0, 0, 3, 0, 3, 0, 4, 4, 3, 0, 4, 2, 4, 0, 2] pubkeycol562 = [2, 3, 4, 0, 0, 2, 3, 1, 0, 1, 0, 4, 0, 2, 3, 4, 3, 0, 3, 3, 0, 4, 1, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 3, 0, 2, 2, 1, 1, 1, 1, 1, 0, 4, 4, 1, 0, 3, 3, 0, 2, 3, 4, 3, 1, 3, 0, 4, 2, 0, 1, 1, 0, 4, 1, 4, 4, 4, 0, 4, 1, 1, 1, 2, 0, 0, 4, 1, 4, 0, 1, 0, 2, 3, 3, 3, 0, 2, 2, 1, 2, 4, 0, 0, 3, 3, 1, 2, 4, 4, 3, 1, 4, 3, 0, 0, 3, 1, 3, 3, 4, 3, 4, 1, 1, 4, 1, 4, 1, 1, 3, 0, 4, 4, 0, 2, 4, 1, 2, 3, 2, 2, 2, 2, 1, 2, 3, 0, 4, 1, 1, 3, 0, 0, 1, 4, 4, 0, 1, 1, 3, 1, 2, 0, 0, 2, 4, 0, 3, 4, 2, 1, 1, 4, 4, 3, 4, 1, 2, 0, 4, 3, 1, 3, 2, 4, 2, 3, 4, 4, 4, 0, 3, 4, 2, 2, 1, 2, 2, 4, 2, 0, 2, 3, 3, 0, 0, 0, 2, 1, 0, 2, 4, 4, 3, 2, 2, 4, 1, 3, 3, 3, 1, 1, 2, 4, 3, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 0, 2, 4, 2, 3, 0, 0, 4, 1, 1, 1, 1, 4, 1, 2, 3, 1, 4, 1, 3, 0, 4, 3, 2, 0, 0, 4, 2, 2, 0, 1, 0, 2, 3, 1, 4, 2, 3, 2, 3, 3, 4, 2, 4, 4, 4, 2, 4, 3, 1, 1, 4, 4, 3, 2, 2, 1, 2, 3, 0, 4, 4, 0, 1, 0, 4, 2, 0, 0, 3, 3, 2, 2, 4, 0, 0, 0, 4, 1, 0, 4, 3, 0, 3, 2, 1, 0, 0, 2, 4, 0, 3, 1, 4, 2, 4, 2, 2, 4, 4, 0, 3, 3, 1, 4, 3, 3, 3, 0, 4, 0, 2, 3, 0, 3, 1, 0, 1, 1, 2, 2, 4, 4, 2, 3, 3, 1, 3, 2, 2, 4, 1, 1, 3, 4, 3, 2, 1, 1, 2, 2, 4, 0, 3, 3, 2, 4, 2, 0, 4, 3, 4, 3, 0, 4, 2, 0, 2, 3, 1, 0, 1, 4, 4, 1, 3, 1, 0, 1] pubkeycol563 = [4, 4, 3, 1, 3, 2, 1, 3, 3, 3, 0, 1, 3, 3, 3, 0, 3, 3, 0, 0, 0, 2, 3, 2, 2, 2, 4, 3, 3, 1, 0, 1, 0, 4, 3, 2, 0, 0, 0, 2, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 1, 2, 4, 4, 4, 2, 0, 3, 0, 2, 0, 3, 4, 2, 3, 3, 4, 2, 0, 0, 4, 2, 4, 2, 2, 4, 0, 4, 2, 2, 4, 0, 4, 3, 3, 1, 0, 4, 4, 4, 3, 1, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 2, 0, 3, 3, 3, 2, 0, 1, 2, 0, 3, 3, 1, 4, 0, 2, 3, 3, 4, 3, 4, 3, 3, 2, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 4, 0, 3, 2, 3, 0, 3, 4, 0, 1, 4, 2, 2, 3, 4, 1, 2, 2, 1, 0, 1, 2, 4, 1, 0, 3, 3, 1, 3, 3, 1, 1, 4, 0, 1, 1, 3, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 3, 1, 0, 2, 4, 2, 3, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 4, 3, 4, 0, 0, 2, 2, 0, 1, 3, 0, 2, 1, 4, 2, 2, 0, 0, 0, 4, 0, 3, 4, 2, 0, 2, 2, 4, 1, 2, 3, 1, 3, 1, 0, 4, 3, 3, 2, 4, 2, 1, 3, 2, 0, 2, 0, 4, 2, 2, 4, 3, 0, 0, 2, 3, 4, 3, 1, 4, 0, 1, 1, 3, 3, 3, 3, 4, 1, 0, 3, 1, 1, 4, 1, 2, 3, 0, 0, 1, 1, 0, 3, 3, 1, 0, 2, 3, 4, 2, 1, 3, 4, 2, 2, 2, 1, 0, 3, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 3, 2, 2, 2, 4, 3, 2, 2, 3, 3, 2, 4, 2, 4, 1, 0, 4, 2, 1, 0, 1, 2, 3, 4, 4, 2, 2, 3, 4, 1, 1, 4, 1, 1, 4, 4, 3, 1, 0, 3, 4, 0, 1, 4, 0, 1, 0, 1, 1, 1, 4, 2, 2, 0, 3, 2, 4, 4, 2, 1, 4, 4, 3, 2, 2, 1, 3, 0, 2, 3, 4, 0, 1, 1, 0] pubkeycol564 = [1, 1, 2, 4, 2, 2, 3, 2, 0, 3, 4, 1, 4, 3, 4, 2, 2, 2, 0, 2, 3, 3, 2, 0, 0, 4, 1, 0, 2, 0, 0, 4, 0, 1, 3, 3, 3, 4, 3, 2, 3, 1, 3, 0, 0, 3, 1, 0, 2, 3, 4, 4, 1, 1, 4, 2, 1, 0, 3, 4, 0, 3, 4, 4, 2, 2, 0, 0, 4, 2, 0, 4, 3, 0, 1, 2, 2, 3, 3, 2, 2, 2, 4, 2, 3, 4, 4, 4, 4, 0, 3, 0, 3, 0, 0, 2, 4, 3, 1, 3, 1, 0, 4, 1, 4, 0, 2, 2, 4, 2, 1, 0, 4, 0, 1, 2, 1, 0, 0, 3, 0, 2, 0, 3, 1, 3, 1, 2, 3, 1, 0, 0, 3, 4, 0, 0, 2, 1, 0, 4, 3, 3, 4, 4, 4, 0, 4, 1, 3, 3, 4, 4, 1, 2, 0, 4, 3, 3, 4, 3, 2, 1, 1, 1, 1, 4, 1, 0, 4, 0, 1, 0, 3, 4, 4, 4, 3, 1, 3, 3, 2, 3, 2, 1, 0, 4, 2, 3, 4, 1, 3, 1, 3, 4, 3, 4, 3, 4, 4, 0, 0, 1, 4, 4, 1, 4, 2, 3, 4, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 0, 1, 3, 0, 0, 4, 4, 4, 3, 2, 0, 4, 0, 3, 3, 1, 2, 0, 1, 1, 3, 0, 1, 2, 4, 1, 1, 0, 2, 4, 4, 1, 4, 1, 4, 0, 4, 3, 1, 2, 3, 3, 1, 2, 3, 2, 0, 3, 1, 2, 4, 2, 0, 1, 0, 3, 4, 4, 3, 4, 3, 0, 4, 1, 1, 4, 3, 1, 3, 3, 2, 2, 4, 3, 3, 3, 2, 4, 2, 4, 0, 0, 2, 0, 1, 0, 3, 2, 3, 3, 0, 2, 3, 4, 0, 1, 1, 0, 0, 4, 1, 4, 2, 4, 2, 0, 1, 0, 2, 4, 3, 3, 4, 2, 3, 4, 2, 2, 1, 3, 3, 1, 3, 0, 3, 0, 4, 1, 3, 2, 4, 1, 1, 2, 3, 0, 3, 2, 4, 4, 1, 4, 2, 3, 1, 0, 0, 1, 1, 0, 2, 2, 4, 1, 0, 2, 2, 1, 3, 3, 1, 0, 1, 2, 4, 4, 4, 4, 1, 0, 2, 3, 4, 0, 4, 4, 2, 2, 2, 1, 2] pubkeycol565 = [0, 4, 1, 1, 2, 0, 3, 0, 1, 1, 4, 2, 4, 2, 3, 0, 1, 1, 4, 2, 0, 2, 0, 0, 1, 1, 1, 4, 3, 0, 3, 2, 4, 0, 0, 0, 0, 2, 3, 4, 0, 0, 4, 2, 1, 3, 3, 2, 2, 4, 2, 2, 3, 4, 2, 1, 3, 4, 1, 1, 1, 4, 0, 2, 3, 0, 0, 0, 0, 1, 4, 4, 1, 0, 3, 2, 1, 2, 4, 1, 0, 0, 3, 0, 4, 0, 1, 3, 1, 4, 1, 1, 4, 3, 4, 0, 0, 4, 0, 3, 3, 3, 0, 4, 4, 0, 2, 1, 0, 0, 3, 2, 3, 1, 4, 0, 0, 1, 3, 0, 3, 2, 0, 3, 0, 3, 4, 0, 3, 1, 1, 0, 3, 0, 0, 4, 4, 3, 2, 2, 1, 0, 3, 2, 4, 2, 2, 2, 0, 0, 0, 0, 2, 0, 4, 0, 1, 0, 1, 4, 4, 4, 4, 1, 0, 2, 2, 3, 4, 3, 3, 2, 3, 0, 0, 4, 2, 4, 0, 0, 4, 3, 3, 0, 3, 3, 1, 3, 1, 0, 3, 3, 3, 2, 1, 2, 2, 3, 0, 3, 2, 4, 3, 0, 2, 4, 1, 3, 4, 0, 0, 3, 2, 1, 0, 1, 3, 0, 3, 4, 3, 4, 1, 4, 2, 4, 2, 2, 0, 1, 1, 4, 2, 3, 1, 3, 1, 2, 1, 4, 0, 0, 2, 4, 2, 0, 0, 2, 0, 3, 2, 0, 1, 0, 2, 3, 4, 4, 2, 3, 1, 2, 1, 2, 1, 3, 0, 0, 3, 3, 2, 0, 1, 3, 2, 0, 1, 4, 4, 4, 3, 2, 2, 4, 2, 0, 3, 1, 3, 4, 4, 3, 2, 1, 1, 4, 3, 3, 0, 1, 3, 3, 2, 0, 4, 2, 0, 1, 3, 4, 0, 0, 4, 3, 1, 0, 4, 3, 1, 0, 3, 0, 4, 1, 0, 0, 3, 1, 2, 3, 1, 2, 0, 0, 3, 2, 1, 0, 3, 0, 2, 2, 0, 3, 0, 1, 0, 1, 0, 1, 0, 1, 3, 2, 3, 2, 4, 0, 2, 2, 1, 4, 4, 0, 0, 0, 4, 1, 2, 1, 4, 0, 2, 4, 4, 2, 2, 0, 0, 3, 1, 4, 0, 0, 2, 2, 4, 1, 4, 3, 0, 0, 1, 2, 2, 4, 3, 1, 1, 0] pubkeycol566 = [1, 4, 4, 1, 3, 1, 2, 4, 1, 1, 0, 1, 4, 3, 0, 1, 2, 0, 1, 3, 0, 0, 0, 3, 0, 2, 3, 4, 2, 0, 3, 2, 4, 2, 1, 0, 1, 4, 3, 1, 0, 2, 1, 0, 0, 3, 0, 4, 0, 3, 2, 3, 0, 0, 4, 3, 0, 0, 0, 0, 1, 0, 1, 0, 4, 2, 3, 3, 4, 1, 4, 1, 2, 1, 4, 0, 4, 3, 4, 2, 2, 1, 4, 1, 3, 1, 4, 3, 2, 1, 1, 3, 3, 2, 4, 4, 4, 4, 2, 2, 0, 4, 0, 4, 0, 3, 0, 4, 2, 2, 4, 4, 1, 4, 1, 3, 3, 0, 1, 3, 0, 4, 1, 1, 3, 4, 0, 2, 4, 0, 0, 2, 3, 3, 1, 0, 2, 0, 0, 2, 1, 1, 4, 1, 2, 1, 0, 4, 2, 2, 3, 0, 4, 4, 2, 3, 3, 2, 0, 0, 2, 0, 3, 0, 3, 1, 2, 3, 2, 2, 4, 4, 0, 4, 1, 4, 2, 3, 0, 3, 1, 2, 3, 1, 2, 3, 4, 2, 4, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 4, 4, 1, 0, 1, 4, 0, 2, 0, 1, 0, 4, 0, 3, 0, 0, 4, 4, 1, 3, 3, 0, 2, 0, 3, 0, 2, 4, 3, 4, 1, 3, 0, 3, 0, 4, 2, 4, 0, 0, 3, 4, 1, 1, 3, 4, 0, 0, 1, 0, 3, 3, 3, 3, 0, 1, 2, 2, 3, 2, 1, 0, 4, 4, 3, 3, 4, 1, 4, 1, 1, 4, 0, 4, 3, 0, 0, 4, 2, 1, 3, 3, 2, 2, 3, 1, 0, 1, 0, 0, 2, 2, 0, 4, 0, 3, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2, 4, 4, 4, 2, 1, 4, 0, 0, 3, 4, 3, 1, 0, 4, 4, 3, 4, 4, 3, 2, 1, 2, 4, 4, 0, 1, 1, 0, 4, 3, 3, 4, 1, 2, 2, 1, 4, 3, 3, 4, 0, 3, 4, 1, 4, 1, 1, 4, 3, 3, 0, 2, 3, 0, 0, 0, 4, 3, 3, 0, 1, 2, 3, 2, 0, 1, 1, 2, 2, 4, 2, 1, 3, 4, 1, 1, 3, 1, 4, 2, 1, 0, 3, 1, 3, 2, 4, 2, 3, 4, 1, 4, 3] pubkeycol567 = [3, 3, 4, 3, 0, 2, 3, 3, 1, 4, 1, 1, 1, 0, 0, 1, 4, 3, 0, 1, 4, 4, 3, 1, 3, 2, 0, 0, 1, 0, 1, 0, 0, 3, 0, 0, 2, 2, 2, 3, 1, 1, 4, 3, 3, 2, 4, 2, 1, 2, 3, 0, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 1, 0, 3, 3, 1, 1, 0, 4, 2, 2, 0, 2, 4, 1, 2, 2, 3, 3, 2, 0, 3, 2, 3, 4, 2, 2, 4, 4, 0, 0, 3, 1, 4, 2, 3, 1, 2, 0, 4, 3, 0, 1, 1, 1, 0, 0, 1, 1, 4, 1, 0, 0, 0, 1, 4, 3, 4, 1, 1, 2, 2, 4, 4, 1, 3, 2, 4, 0, 2, 3, 3, 2, 4, 0, 0, 2, 1, 4, 0, 3, 1, 4, 2, 4, 2, 2, 4, 0, 0, 1, 4, 2, 1, 3, 0, 3, 1, 3, 1, 4, 0, 4, 2, 2, 1, 2, 4, 2, 4, 3, 4, 4, 1, 3, 1, 4, 3, 4, 4, 1, 1, 2, 2, 4, 0, 4, 2, 4, 0, 4, 2, 2, 0, 2, 0, 3, 0, 2, 4, 4, 1, 4, 3, 2, 1, 3, 3, 1, 4, 1, 3, 3, 4, 3, 2, 2, 2, 1, 3, 3, 4, 3, 4, 3, 3, 1, 2, 1, 2, 4, 1, 2, 1, 3, 0, 2, 2, 4, 1, 2, 1, 4, 4, 4, 3, 1, 3, 1, 1, 1, 1, 4, 0, 0, 0, 1, 4, 1, 4, 1, 1, 2, 0, 4, 0, 4, 4, 2, 0, 2, 1, 1, 0, 4, 0, 3, 0, 4, 4, 1, 2, 1, 4, 0, 3, 2, 2, 3, 0, 1, 2, 0, 3, 3, 3, 3, 3, 2, 0, 1, 0, 3, 3, 4, 2, 3, 2, 2, 4, 1, 3, 3, 2, 4, 4, 1, 2, 4, 3, 1, 4, 0, 0, 2, 4, 0, 1, 2, 2, 2, 2, 2, 2, 3, 1, 0, 2, 0, 0, 1, 2, 1, 4, 3, 1, 0, 4, 1, 1, 4, 0, 1, 2, 2, 4, 1, 4, 3, 2, 4, 0, 2, 3, 4, 3, 4, 3, 4, 0, 3, 2, 2, 4, 3, 1, 0, 4, 0, 3, 1, 2, 1, 3, 3, 1, 2, 0, 0, 4, 3, 2, 2, 3, 2, 1, 0] pubkeycol568 = [1, 4, 4, 4, 2, 1, 3, 3, 1, 1, 3, 4, 4, 4, 0, 2, 3, 3, 1, 1, 1, 4, 0, 1, 1, 4, 0, 2, 2, 1, 1, 3, 2, 1, 0, 1, 1, 0, 2, 2, 3, 4, 1, 4, 1, 4, 3, 3, 0, 1, 3, 3, 0, 4, 4, 3, 1, 4, 4, 3, 4, 0, 3, 1, 2, 1, 2, 1, 1, 4, 1, 2, 2, 3, 0, 4, 2, 3, 2, 1, 0, 3, 2, 1, 3, 0, 2, 1, 0, 0, 0, 0, 1, 4, 2, 2, 0, 3, 2, 4, 0, 3, 3, 1, 0, 3, 4, 2, 2, 3, 2, 3, 4, 1, 4, 3, 4, 1, 4, 2, 2, 4, 0, 2, 0, 1, 0, 1, 1, 3, 0, 4, 1, 2, 3, 3, 4, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 1, 4, 1, 1, 4, 1, 4, 2, 4, 1, 2, 2, 0, 2, 4, 0, 1, 4, 1, 4, 1, 0, 0, 2, 3, 3, 0, 1, 3, 1, 0, 3, 1, 2, 0, 3, 2, 0, 3, 3, 3, 1, 1, 3, 3, 3, 2, 1, 4, 3, 3, 1, 1, 1, 0, 2, 4, 1, 2, 0, 1, 3, 2, 3, 2, 0, 2, 0, 3, 3, 0, 2, 2, 4, 1, 1, 3, 3, 2, 1, 0, 0, 0, 3, 0, 2, 3, 4, 0, 1, 3, 1, 4, 0, 3, 2, 1, 4, 0, 1, 3, 0, 3, 4, 1, 0, 2, 0, 1, 2, 1, 3, 4, 1, 1, 1, 4, 3, 3, 0, 0, 4, 2, 0, 4, 0, 3, 1, 1, 3, 0, 1, 0, 4, 0, 3, 4, 1, 3, 2, 4, 2, 1, 2, 0, 0, 0, 1, 1, 3, 3, 2, 3, 2, 2, 0, 1, 4, 0, 4, 1, 1, 0, 2, 0, 3, 3, 3, 0, 3, 3, 4, 0, 0, 0, 1, 1, 3, 1, 0, 3, 0, 2, 2, 2, 3, 4, 4, 4, 0, 3, 1, 1, 0, 1, 2, 2, 3, 2, 3, 1, 1, 3, 1, 2, 3, 1, 3, 3, 1, 4, 0, 4, 4, 1, 1, 2, 0, 3, 3, 3, 0, 3, 2, 3, 1, 3, 0, 2, 4, 0, 2, 0, 4, 1, 2, 1, 1, 2, 0, 3, 1, 1, 2, 1, 3, 3, 0, 2, 1, 4] pubkeycol569 = [1, 3, 2, 4, 2, 2, 4, 0, 2, 0, 4, 4, 1, 3, 2, 3, 3, 1, 2, 0, 1, 2, 2, 4, 2, 4, 1, 0, 1, 0, 0, 0, 0, 4, 3, 1, 0, 4, 1, 3, 1, 3, 1, 0, 4, 0, 1, 3, 3, 1, 4, 4, 2, 0, 0, 1, 0, 3, 4, 3, 0, 0, 0, 2, 4, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 3, 4, 0, 2, 1, 2, 0, 3, 3, 0, 3, 2, 2, 2, 4, 0, 1, 3, 0, 0, 3, 0, 4, 3, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 4, 4, 4, 0, 1, 4, 3, 1, 2, 4, 4, 3, 4, 1, 1, 2, 1, 3, 3, 3, 0, 2, 2, 4, 4, 2, 2, 4, 2, 2, 3, 3, 1, 3, 0, 0, 3, 4, 0, 3, 0, 4, 1, 4, 1, 2, 4, 2, 2, 3, 2, 2, 1, 3, 1, 0, 1, 4, 3, 1, 1, 2, 0, 0, 1, 3, 2, 3, 1, 3, 3, 3, 3, 3, 0, 0, 3, 4, 2, 1, 0, 1, 1, 4, 2, 2, 0, 3, 0, 1, 2, 4, 3, 1, 3, 3, 1, 4, 3, 2, 3, 3, 1, 3, 1, 2, 1, 2, 1, 3, 4, 0, 4, 0, 2, 1, 3, 1, 4, 0, 2, 1, 1, 0, 1, 3, 1, 1, 2, 3, 1, 0, 2, 1, 0, 1, 2, 2, 4, 0, 2, 3, 2, 3, 4, 2, 4, 4, 1, 1, 2, 4, 4, 0, 3, 1, 3, 4, 3, 2, 1, 2, 0, 2, 2, 3, 1, 0, 3, 3, 4, 4, 1, 4, 2, 1, 0, 3, 1, 1, 2, 3, 0, 1, 0, 1, 2, 3, 1, 3, 0, 4, 4, 1, 0, 3, 4, 1, 2, 2, 1, 0, 0, 2, 2, 2, 4, 2, 2, 4, 2, 1, 0, 3, 1, 4, 4, 2, 2, 1, 0, 3, 1, 3, 3, 2, 1, 3, 3, 0, 2, 0, 3, 3, 1, 2, 4, 1, 2, 2, 4, 1, 0, 0, 4, 0, 0, 4, 0, 1, 0, 1, 4, 0, 2, 4, 4, 2, 3, 1, 4, 4, 3, 1, 4, 1, 3, 0, 2, 3, 3, 3, 3, 0, 4, 1, 1, 0, 0, 0, 2, 1, 3, 1, 4, 0, 2, 2, 2, 3] pubkeycol570 = [2, 0, 0, 1, 1, 4, 1, 3, 1, 4, 1, 1, 1, 4, 1, 2, 2, 1, 2, 3, 2, 3, 3, 4, 1, 1, 4, 1, 1, 3, 3, 0, 4, 4, 1, 3, 1, 1, 4, 0, 4, 4, 1, 0, 4, 1, 3, 0, 2, 2, 4, 1, 2, 1, 2, 1, 4, 0, 0, 4, 4, 2, 2, 4, 0, 0, 2, 4, 1, 0, 0, 4, 1, 4, 1, 1, 0, 4, 3, 2, 1, 0, 4, 0, 2, 4, 3, 2, 1, 3, 1, 1, 0, 3, 3, 3, 4, 0, 1, 3, 0, 0, 0, 4, 4, 3, 4, 2, 4, 4, 0, 3, 1, 1, 2, 3, 4, 0, 1, 0, 3, 4, 3, 2, 0, 2, 4, 1, 3, 2, 3, 2, 1, 0, 2, 2, 2, 3, 1, 0, 4, 3, 0, 3, 1, 4, 4, 1, 3, 4, 4, 0, 4, 0, 0, 3, 1, 2, 4, 0, 3, 0, 4, 2, 4, 0, 1, 0, 0, 1, 1, 1, 0, 0, 4, 4, 1, 2, 2, 2, 0, 0, 4, 0, 3, 0, 4, 0, 4, 4, 2, 1, 3, 1, 1, 4, 4, 2, 1, 1, 1, 2, 4, 0, 0, 4, 1, 1, 0, 1, 1, 2, 1, 3, 2, 4, 2, 3, 0, 2, 1, 1, 0, 3, 4, 1, 2, 0, 1, 0, 3, 0, 0, 4, 0, 3, 2, 1, 2, 4, 0, 0, 3, 3, 2, 0, 4, 3, 2, 1, 4, 0, 0, 0, 3, 3, 0, 1, 0, 0, 2, 4, 4, 2, 1, 4, 3, 2, 4, 4, 4, 4, 3, 3, 4, 1, 1, 4, 2, 4, 0, 0, 2, 3, 0, 0, 1, 4, 0, 2, 2, 0, 1, 1, 4, 3, 1, 0, 1, 2, 4, 1, 0, 4, 1, 0, 4, 1, 2, 4, 1, 2, 2, 1, 4, 2, 4, 3, 3, 0, 0, 4, 1, 0, 2, 2, 2, 1, 2, 3, 2, 4, 2, 3, 3, 2, 3, 3, 3, 2, 3, 0, 3, 4, 3, 3, 3, 4, 2, 0, 2, 2, 3, 3, 4, 0, 0, 4, 0, 2, 1, 2, 0, 1, 2, 1, 2, 3, 3, 0, 1, 2, 1, 2, 3, 4, 3, 0, 1, 3, 3, 1, 0, 1, 0, 2, 0, 1, 0, 4, 4, 1, 2, 2, 1, 1, 3, 1, 4, 3] pubkeycol571 = [2, 1, 3, 0, 3, 4, 1, 0, 3, 0, 4, 4, 3, 0, 4, 2, 3, 0, 3, 2, 3, 2, 1, 1, 3, 0, 2, 2, 1, 1, 0, 2, 1, 4, 2, 3, 3, 4, 1, 1, 4, 0, 1, 2, 2, 0, 4, 0, 4, 3, 2, 0, 2, 0, 2, 2, 3, 0, 0, 1, 3, 4, 4, 2, 0, 2, 1, 4, 4, 3, 4, 3, 0, 1, 3, 3, 3, 3, 2, 2, 2, 1, 4, 2, 0, 4, 0, 4, 1, 3, 4, 4, 1, 4, 4, 4, 3, 4, 2, 3, 4, 0, 0, 0, 4, 3, 1, 3, 3, 4, 1, 1, 0, 4, 1, 1, 1, 3, 4, 0, 2, 0, 2, 4, 2, 0, 2, 4, 3, 1, 0, 4, 2, 3, 0, 4, 2, 1, 3, 2, 4, 4, 3, 2, 1, 3, 1, 0, 2, 1, 4, 3, 3, 4, 0, 0, 0, 1, 0, 0, 4, 1, 1, 2, 2, 2, 3, 4, 1, 3, 3, 3, 3, 0, 4, 4, 1, 1, 3, 3, 3, 3, 2, 0, 3, 0, 4, 3, 1, 3, 0, 3, 1, 0, 1, 3, 4, 0, 4, 2, 4, 1, 4, 4, 3, 2, 1, 0, 2, 2, 4, 4, 4, 4, 0, 2, 2, 3, 1, 3, 3, 1, 3, 0, 3, 4, 2, 3, 4, 2, 3, 4, 3, 4, 0, 1, 1, 1, 4, 3, 2, 4, 3, 3, 2, 4, 3, 0, 1, 2, 4, 4, 4, 2, 1, 0, 3, 1, 3, 0, 1, 1, 2, 0, 4, 3, 2, 0, 4, 4, 3, 4, 2, 1, 4, 2, 1, 1, 4, 0, 3, 1, 0, 3, 0, 4, 4, 4, 1, 2, 3, 1, 0, 0, 1, 4, 1, 1, 4, 3, 3, 0, 0, 3, 4, 4, 4, 1, 1, 3, 4, 4, 1, 2, 3, 0, 2, 1, 0, 4, 2, 3, 4, 3, 4, 2, 4, 0, 1, 3, 2, 3, 0, 1, 2, 0, 2, 1, 1, 3, 2, 1, 2, 2, 3, 3, 0, 0, 0, 3, 3, 3, 0, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 1, 4, 1, 1, 4, 1, 1, 1, 4, 1, 0, 4, 4, 4, 4, 4, 2, 3, 0, 2, 4, 1, 4, 4, 0, 0, 4, 2, 3, 1, 4, 3, 3, 4, 3, 1, 4] pubkeycol572 = [1, 3, 1, 4, 2, 1, 0, 3, 4, 3, 1, 2, 4, 1, 1, 4, 4, 2, 1, 4, 0, 1, 2, 3, 4, 0, 4, 4, 2, 2, 4, 4, 3, 2, 1, 4, 4, 3, 2, 3, 1, 1, 2, 4, 4, 3, 3, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 2, 4, 3, 2, 0, 1, 3, 3, 0, 3, 0, 0, 4, 3, 4, 0, 3, 3, 3, 1, 4, 0, 0, 3, 2, 0, 0, 1, 3, 1, 3, 1, 2, 3, 4, 3, 4, 4, 3, 3, 4, 0, 2, 3, 2, 4, 1, 2, 0, 2, 1, 4, 0, 3, 0, 0, 1, 0, 4, 4, 3, 4, 4, 1, 4, 4, 0, 0, 1, 3, 4, 4, 1, 4, 3, 0, 1, 0, 2, 1, 1, 0, 3, 2, 1, 4, 2, 0, 1, 0, 1, 3, 0, 4, 2, 0, 0, 2, 1, 1, 2, 4, 2, 3, 0, 1, 0, 4, 3, 3, 3, 0, 4, 4, 1, 4, 0, 3, 1, 1, 0, 2, 0, 0, 4, 2, 4, 3, 3, 1, 1, 3, 0, 3, 4, 2, 4, 4, 0, 4, 0, 4, 4, 1, 2, 1, 3, 1, 1, 3, 2, 4, 3, 2, 3, 1, 0, 3, 2, 0, 1, 1, 1, 4, 1, 4, 1, 2, 2, 0, 3, 0, 4, 2, 4, 2, 0, 4, 3, 4, 4, 1, 3, 3, 1, 1, 3, 0, 2, 2, 4, 3, 1, 2, 1, 4, 4, 2, 0, 4, 3, 2, 3, 3, 2, 3, 0, 0, 4, 1, 2, 0, 2, 3, 2, 1, 0, 1, 0, 1, 2, 3, 0, 0, 4, 4, 3, 4, 4, 1, 1, 3, 2, 4, 2, 0, 0, 0, 3, 2, 4, 4, 4, 0, 3, 4, 1, 0, 3, 2, 2, 0, 4, 3, 4, 3, 0, 1, 2, 0, 0, 3, 3, 3, 0, 4, 2, 3, 1, 4, 4, 2, 0, 3, 4, 0, 0, 1, 1, 0, 2, 1, 3, 1, 0, 4, 3, 3, 1, 3, 0, 1, 3, 3, 0, 4, 4, 1, 4, 3, 4, 4, 1, 3, 1, 0, 0, 3, 0, 0, 2, 2, 0, 4, 1, 0, 3, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 4, 3, 0, 4, 2, 1, 3, 1, 0, 2, 4, 4, 2, 1, 4] pubkeycol573 = [3, 3, 1, 2, 0, 1, 3, 0, 1, 4, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 3, 3, 4, 2, 3, 4, 0, 4, 4, 2, 2, 1, 4, 4, 1, 0, 4, 0, 1, 1, 4, 1, 2, 0, 2, 3, 4, 0, 0, 4, 4, 3, 1, 0, 1, 2, 4, 2, 1, 0, 4, 0, 3, 4, 3, 0, 3, 2, 2, 4, 0, 0, 2, 2, 4, 3, 2, 4, 3, 4, 2, 4, 0, 2, 4, 4, 3, 4, 3, 4, 2, 3, 1, 0, 4, 4, 1, 4, 3, 3, 0, 2, 2, 1, 4, 0, 0, 2, 4, 2, 0, 1, 4, 1, 1, 4, 2, 1, 1, 1, 1, 4, 0, 3, 0, 2, 4, 4, 2, 1, 4, 1, 0, 3, 0, 1, 0, 1, 2, 3, 1, 3, 3, 3, 4, 4, 2, 4, 1, 2, 4, 1, 3, 1, 4, 2, 0, 1, 3, 3, 2, 2, 1, 0, 4, 4, 1, 2, 3, 3, 4, 3, 4, 4, 2, 1, 0, 1, 2, 2, 0, 3, 4, 2, 4, 2, 0, 4, 0, 1, 0, 1, 2, 3, 0, 3, 2, 2, 1, 4, 3, 3, 2, 2, 1, 3, 1, 3, 3, 4, 0, 4, 0, 4, 4, 3, 0, 0, 1, 4, 2, 0, 0, 4, 3, 1, 0, 3, 4, 1, 2, 1, 3, 2, 1, 1, 3, 4, 2, 2, 3, 0, 1, 0, 0, 0, 1, 1, 4, 3, 1, 1, 3, 4, 1, 2, 1, 0, 3, 4, 1, 0, 2, 3, 0, 3, 1, 0, 1, 0, 0, 2, 0, 4, 1, 2, 2, 1, 3, 1, 1, 2, 1, 4, 1, 3, 2, 4, 3, 4, 0, 3, 1, 2, 4, 4, 1, 4, 0, 3, 4, 0, 0, 0, 4, 2, 0, 2, 3, 3, 4, 0, 3, 3, 2, 0, 3, 2, 0, 4, 0, 2, 1, 4, 1, 3, 3, 4, 3, 3, 0, 1, 2, 0, 0, 0, 1, 1, 1, 3, 1, 2, 3, 4, 3, 0, 4, 3, 4, 2, 0, 2, 4, 3, 1, 3, 3, 0, 3, 3, 1, 2, 4, 3, 0, 0, 3, 0, 3, 0, 3, 1, 4, 0, 4, 1, 4, 0, 2, 1, 2, 1, 2, 3, 2, 4, 4, 2, 4, 3, 1, 2, 4, 4, 1, 3, 2, 0, 3] pubkeycol574 = [2, 4, 2, 0, 3, 2, 1, 0, 4, 4, 3, 3, 1, 0, 0, 4, 2, 2, 0, 3, 1, 1, 3, 2, 2, 1, 0, 4, 1, 1, 1, 4, 2, 0, 3, 3, 1, 4, 0, 3, 1, 4, 0, 0, 4, 4, 1, 3, 2, 1, 0, 2, 2, 4, 4, 1, 2, 2, 1, 2, 2, 4, 1, 1, 2, 4, 0, 2, 1, 2, 3, 2, 3, 4, 0, 0, 3, 0, 3, 0, 2, 2, 0, 2, 3, 1, 0, 2, 0, 0, 3, 3, 4, 3, 3, 0, 0, 3, 0, 0, 4, 2, 0, 2, 1, 4, 3, 2, 4, 1, 2, 3, 4, 1, 3, 3, 3, 1, 2, 0, 3, 2, 0, 2, 2, 4, 3, 1, 2, 1, 2, 4, 1, 2, 2, 4, 4, 0, 0, 1, 4, 3, 2, 1, 4, 1, 3, 3, 2, 1, 4, 0, 1, 0, 3, 2, 3, 4, 1, 1, 1, 0, 4, 2, 0, 4, 1, 2, 2, 1, 3, 1, 3, 4, 2, 1, 0, 2, 4, 4, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 4, 4, 3, 2, 0, 1, 3, 3, 4, 1, 2, 3, 0, 2, 1, 2, 1, 1, 1, 4, 4, 3, 2, 4, 1, 3, 0, 1, 0, 3, 2, 0, 0, 0, 3, 0, 2, 2, 4, 4, 3, 1, 4, 1, 2, 4, 3, 0, 3, 4, 3, 4, 2, 2, 2, 3, 1, 3, 0, 3, 3, 1, 1, 4, 4, 3, 1, 3, 0, 1, 3, 0, 4, 4, 3, 4, 1, 0, 4, 2, 0, 3, 4, 1, 0, 4, 2, 2, 0, 2, 0, 4, 3, 3, 3, 4, 3, 4, 2, 2, 4, 4, 3, 0, 0, 3, 1, 2, 2, 2, 3, 0, 0, 2, 0, 0, 2, 2, 3, 3, 1, 0, 0, 2, 3, 2, 0, 0, 3, 0, 4, 2, 2, 3, 4, 3, 3, 3, 1, 3, 3, 4, 1, 4, 4, 0, 4, 4, 2, 2, 2, 2, 4, 2, 0, 3, 0, 0, 1, 4, 4, 0, 1, 1, 1, 4, 1, 3, 1, 2, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 0, 0, 2, 3, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 1, 1, 3, 3, 2, 3, 3, 0, 0, 4, 1, 1, 0] pubkeycol575 = [2, 0, 1, 4, 2, 4, 3, 2, 1, 2, 2, 4, 3, 1, 1, 2, 0, 2, 1, 1, 2, 1, 3, 2, 4, 0, 1, 3, 3, 3, 4, 1, 3, 4, 4, 4, 4, 0, 0, 2, 4, 0, 3, 1, 3, 2, 1, 4, 4, 0, 2, 0, 4, 0, 3, 4, 1, 3, 3, 3, 0, 1, 4, 3, 1, 0, 2, 0, 0, 3, 0, 0, 2, 3, 4, 2, 0, 0, 0, 1, 1, 2, 0, 4, 1, 4, 4, 2, 2, 1, 4, 1, 3, 1, 0, 2, 1, 0, 3, 1, 2, 2, 1, 1, 4, 4, 4, 4, 2, 4, 2, 0, 4, 1, 2, 1, 0, 3, 3, 1, 3, 4, 0, 4, 0, 3, 2, 2, 2, 3, 2, 4, 3, 2, 4, 4, 1, 1, 3, 4, 2, 4, 4, 1, 1, 2, 2, 3, 2, 1, 0, 2, 0, 0, 2, 1, 4, 1, 3, 3, 2, 0, 0, 1, 0, 2, 1, 1, 0, 3, 4, 3, 3, 0, 1, 3, 1, 2, 1, 3, 2, 3, 3, 0, 1, 0, 2, 1, 2, 1, 4, 3, 3, 0, 3, 1, 2, 4, 1, 2, 0, 0, 1, 0, 4, 3, 4, 0, 4, 0, 2, 3, 2, 2, 0, 3, 3, 4, 1, 4, 2, 4, 2, 2, 2, 0, 1, 0, 3, 3, 1, 2, 4, 3, 1, 0, 4, 1, 2, 2, 4, 4, 3, 4, 0, 1, 0, 0, 1, 4, 2, 4, 1, 4, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 4, 2, 4, 2, 4, 2, 2, 4, 2, 1, 0, 3, 3, 3, 3, 0, 4, 1, 2, 1, 0, 3, 2, 3, 1, 2, 1, 1, 0, 4, 1, 3, 1, 2, 1, 0, 2, 3, 4, 1, 2, 3, 3, 1, 3, 4, 2, 0, 0, 3, 4, 4, 0, 0, 4, 0, 0, 1, 0, 0, 0, 1, 3, 4, 2, 3, 4, 2, 0, 3, 3, 3, 0, 2, 4, 1, 2, 3, 4, 4, 1, 0, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 0, 2, 3, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 3, 3, 3, 4, 2, 1, 1, 0, 0, 1, 4, 2, 3, 3, 3, 0, 3, 3, 3, 3, 1, 3, 1, 1, 1, 1, 1] pubkeycol576 = [4, 2, 1, 2, 4, 4, 2, 0, 4, 0, 2, 0, 2, 4, 1, 1, 4, 1, 1, 4, 2, 0, 3, 4, 0, 1, 3, 0, 4, 3, 2, 0, 0, 2, 4, 2, 3, 1, 0, 3, 0, 0, 1, 1, 2, 1, 0, 0, 2, 4, 4, 1, 3, 1, 2, 2, 1, 0, 0, 0, 0, 4, 2, 0, 0, 4, 4, 2, 3, 1, 4, 4, 1, 2, 2, 2, 2, 4, 1, 3, 4, 1, 3, 0, 4, 3, 2, 4, 4, 3, 4, 0, 0, 3, 4, 4, 0, 3, 3, 1, 2, 3, 4, 4, 4, 0, 4, 4, 3, 3, 2, 1, 4, 4, 4, 4, 3, 2, 2, 1, 4, 4, 1, 1, 4, 1, 3, 2, 3, 0, 1, 3, 4, 2, 3, 1, 3, 4, 3, 3, 2, 2, 4, 1, 1, 4, 3, 2, 3, 0, 1, 0, 1, 2, 4, 2, 4, 1, 2, 0, 1, 0, 1, 4, 2, 2, 3, 0, 4, 2, 4, 2, 2, 1, 2, 0, 0, 2, 4, 4, 1, 1, 4, 0, 3, 1, 2, 2, 4, 3, 3, 2, 4, 1, 4, 4, 2, 4, 3, 0, 3, 0, 3, 2, 4, 3, 3, 2, 0, 1, 2, 0, 2, 2, 4, 3, 4, 3, 0, 2, 1, 4, 0, 3, 4, 1, 2, 4, 1, 4, 0, 1, 0, 0, 3, 0, 4, 4, 3, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 3, 3, 1, 1, 3, 1, 2, 1, 4, 4, 3, 0, 3, 3, 1, 0, 0, 1, 2, 4, 0, 3, 2, 2, 4, 1, 1, 2, 1, 0, 3, 2, 4, 0, 0, 2, 0, 1, 4, 3, 3, 3, 2, 2, 3, 2, 1, 4, 2, 0, 3, 3, 0, 4, 2, 4, 2, 1, 0, 2, 0, 4, 1, 1, 3, 4, 1, 1, 2, 2, 3, 0, 2, 1, 4, 2, 2, 0, 1, 3, 1, 2, 4, 4, 2, 0, 2, 3, 4, 1, 3, 0, 3, 1, 0, 3, 2, 3, 1, 4, 0, 2, 3, 2, 4, 0, 4, 4, 0, 2, 0, 2, 4, 4, 4, 0, 3, 3, 2, 2, 4, 2, 3, 4, 2, 4, 0, 4, 1, 4, 1, 1, 3, 2, 0, 4, 0, 4, 1, 0, 4, 3, 0, 0, 1, 2, 0, 3, 4, 0] pubkeycol577 = [4, 4, 2, 3, 0, 4, 0, 1, 2, 4, 4, 0, 0, 1, 2, 2, 4, 4, 2, 1, 3, 2, 0, 0, 3, 4, 3, 0, 3, 1, 4, 1, 2, 2, 4, 2, 3, 2, 4, 3, 2, 2, 2, 0, 2, 1, 2, 0, 3, 4, 0, 0, 0, 0, 0, 3, 2, 4, 0, 4, 3, 2, 4, 3, 3, 2, 0, 1, 1, 1, 3, 4, 3, 2, 2, 0, 3, 2, 2, 3, 2, 1, 3, 3, 4, 1, 1, 1, 4, 1, 2, 1, 1, 2, 4, 0, 2, 1, 0, 3, 3, 4, 2, 2, 3, 1, 3, 4, 4, 2, 3, 4, 3, 4, 0, 3, 2, 0, 2, 4, 0, 1, 0, 4, 2, 2, 1, 3, 4, 0, 3, 3, 2, 1, 0, 3, 2, 0, 0, 0, 2, 4, 1, 0, 4, 4, 3, 3, 4, 3, 2, 2, 1, 1, 4, 4, 4, 3, 3, 2, 2, 4, 0, 2, 0, 3, 2, 3, 4, 0, 4, 4, 2, 2, 4, 0, 2, 1, 0, 0, 2, 3, 2, 1, 0, 4, 0, 3, 3, 4, 4, 4, 2, 0, 2, 2, 2, 0, 2, 2, 2, 3, 1, 4, 0, 0, 1, 0, 1, 1, 4, 1, 2, 1, 4, 3, 3, 2, 0, 0, 1, 0, 0, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 0, 3, 4, 2, 1, 2, 1, 1, 2, 3, 4, 3, 1, 2, 0, 2, 1, 4, 2, 1, 3, 0, 4, 3, 0, 2, 3, 1, 4, 3, 1, 3, 0, 0, 0, 3, 1, 0, 3, 4, 1, 3, 2, 4, 0, 4, 0, 3, 3, 4, 0, 2, 1, 0, 1, 2, 0, 2, 4, 3, 4, 2, 2, 3, 1, 2, 1, 2, 4, 3, 4, 1, 2, 1, 3, 4, 2, 0, 3, 4, 3, 1, 3, 4, 0, 1, 0, 0, 2, 4, 1, 0, 4, 3, 1, 2, 2, 3, 0, 3, 4, 4, 4, 2, 0, 0, 4, 4, 2, 1, 0, 3, 1, 1, 3, 3, 4, 2, 2, 0, 1, 0, 1, 4, 3, 1, 4, 4, 3, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 3, 3, 3, 4, 4, 1, 3, 2, 4, 0, 4, 2, 2, 3, 0, 3, 0, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 4] pubkeycol578 = [4, 0, 3, 2, 1, 2, 1, 2, 0, 1, 4, 4, 1, 1, 2, 1, 3, 1, 2, 4, 2, 2, 2, 3, 2, 2, 0, 2, 0, 2, 0, 1, 1, 3, 0, 1, 4, 0, 1, 4, 4, 2, 2, 2, 2, 1, 4, 3, 0, 0, 1, 2, 0, 2, 2, 4, 3, 2, 0, 4, 0, 0, 3, 1, 1, 2, 4, 1, 3, 0, 1, 2, 1, 4, 3, 1, 0, 0, 1, 1, 4, 3, 2, 1, 1, 2, 1, 2, 4, 0, 3, 2, 2, 3, 2, 1, 4, 1, 4, 2, 4, 2, 2, 3, 3, 2, 3, 3, 0, 3, 2, 2, 4, 4, 3, 2, 1, 0, 0, 0, 1, 1, 3, 4, 4, 0, 3, 2, 3, 2, 2, 4, 2, 2, 3, 0, 4, 2, 4, 0, 4, 2, 4, 2, 1, 0, 4, 2, 1, 3, 0, 1, 4, 2, 3, 0, 0, 1, 1, 0, 3, 4, 2, 1, 0, 2, 2, 4, 4, 0, 1, 3, 0, 2, 3, 4, 4, 0, 1, 2, 4, 4, 4, 0, 3, 1, 4, 3, 2, 0, 0, 4, 1, 1, 2, 0, 4, 4, 4, 1, 2, 1, 0, 2, 4, 3, 1, 4, 0, 4, 1, 3, 4, 0, 1, 0, 2, 3, 2, 1, 1, 2, 2, 2, 2, 4, 3, 4, 1, 3, 4, 1, 1, 1, 4, 2, 4, 1, 0, 2, 3, 2, 4, 0, 3, 2, 1, 2, 2, 3, 2, 0, 1, 1, 0, 3, 2, 3, 1, 4, 3, 4, 3, 4, 2, 2, 1, 1, 0, 3, 3, 2, 2, 0, 0, 2, 2, 4, 0, 0, 4, 2, 4, 3, 3, 2, 1, 0, 4, 0, 2, 2, 2, 1, 0, 0, 1, 4, 3, 2, 0, 0, 0, 2, 4, 4, 4, 0, 4, 4, 2, 3, 4, 4, 2, 1, 3, 2, 2, 2, 2, 0, 1, 3, 4, 2, 2, 1, 3, 1, 1, 0, 0, 3, 2, 3, 0, 1, 3, 4, 0, 1, 3, 4, 4, 2, 4, 3, 4, 2, 0, 4, 4, 4, 4, 3, 3, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 3, 1, 3, 1, 4, 1, 0, 3, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 3, 1, 1, 1, 1, 3, 4, 0, 0, 0, 2, 4, 0, 4] pubkeycol579 = [0, 2, 2, 3, 1, 3, 4, 2, 2, 4, 4, 3, 3, 3, 3, 0, 4, 0, 0, 3, 1, 3, 4, 0, 4, 2, 1, 2, 0, 4, 2, 3, 1, 2, 1, 0, 4, 2, 0, 4, 4, 1, 0, 4, 1, 2, 2, 1, 0, 3, 0, 0, 0, 3, 2, 4, 4, 4, 4, 3, 2, 3, 0, 2, 0, 0, 0, 4, 0, 1, 4, 4, 3, 2, 0, 3, 0, 2, 4, 0, 3, 1, 0, 0, 2, 0, 0, 3, 0, 2, 1, 4, 3, 2, 1, 3, 2, 1, 3, 3, 0, 0, 2, 2, 3, 4, 1, 2, 1, 3, 0, 2, 0, 1, 4, 0, 2, 0, 2, 2, 4, 1, 4, 2, 2, 3, 4, 2, 0, 2, 1, 4, 2, 4, 1, 4, 3, 3, 0, 4, 2, 4, 4, 4, 3, 0, 1, 3, 0, 2, 1, 3, 1, 4, 3, 4, 2, 3, 4, 1, 1, 2, 1, 3, 1, 3, 1, 2, 3, 1, 2, 3, 2, 1, 0, 2, 3, 0, 1, 1, 3, 1, 0, 2, 3, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 4, 2, 0, 3, 0, 0, 2, 0, 3, 3, 4, 1, 3, 0, 2, 4, 2, 2, 3, 3, 0, 2, 0, 1, 2, 3, 3, 4, 3, 3, 1, 4, 1, 2, 4, 0, 4, 2, 2, 4, 3, 2, 4, 3, 1, 4, 2, 2, 2, 2, 1, 4, 0, 2, 0, 2, 4, 3, 2, 4, 0, 3, 2, 2, 4, 3, 2, 1, 4, 3, 2, 1, 1, 1, 1, 2, 0, 3, 0, 2, 1, 0, 1, 0, 0, 4, 2, 4, 3, 0, 4, 2, 0, 1, 1, 1, 1, 2, 2, 1, 3, 4, 2, 2, 0, 0, 0, 0, 2, 0, 4, 3, 4, 1, 2, 1, 0, 2, 1, 0, 1, 4, 3, 1, 1, 1, 0, 0, 1, 1, 1, 0, 3, 4, 3, 1, 0, 3, 3, 4, 1, 2, 2, 0, 3, 0, 3, 1, 1, 0, 4, 1, 0, 4, 0, 2, 3, 0, 2, 4, 1, 0, 0, 4, 1, 2, 0, 3, 0, 4, 2, 3, 0, 1, 2, 0, 0, 0, 4, 2, 3, 3, 2, 0, 3, 0, 4, 0, 4, 1, 0, 2, 2, 3, 0, 3, 1, 3, 4, 1, 4, 0, 3, 0, 0] pubkeycol580 = [1, 2, 2, 4, 1, 4, 3, 3, 1, 0, 1, 0, 2, 4, 3, 4, 0, 3, 4, 3, 2, 2, 4, 0, 4, 3, 2, 2, 4, 0, 3, 2, 4, 2, 0, 1, 4, 1, 3, 3, 4, 3, 3, 0, 2, 2, 0, 3, 2, 4, 4, 0, 3, 2, 0, 1, 2, 3, 0, 3, 0, 3, 3, 0, 2, 0, 1, 0, 2, 4, 4, 2, 0, 1, 4, 0, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 2, 3, 3, 2, 3, 4, 1, 3, 0, 3, 3, 0, 3, 1, 1, 4, 1, 1, 1, 2, 3, 0, 3, 2, 1, 0, 0, 0, 1, 3, 0, 2, 3, 1, 1, 1, 1, 1, 3, 4, 3, 2, 2, 4, 1, 3, 1, 2, 3, 1, 0, 1, 3, 2, 0, 2, 3, 4, 1, 2, 0, 1, 3, 1, 4, 2, 0, 3, 0, 1, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 1, 3, 3, 4, 2, 0, 0, 1, 0, 1, 3, 3, 1, 4, 1, 2, 0, 2, 2, 2, 4, 3, 4, 0, 2, 3, 0, 2, 4, 1, 2, 3, 2, 3, 1, 4, 1, 4, 0, 4, 3, 4, 1, 3, 1, 3, 2, 1, 2, 3, 2, 0, 4, 0, 4, 4, 4, 2, 4, 3, 3, 4, 2, 1, 0, 0, 3, 0, 2, 4, 0, 1, 3, 2, 2, 1, 0, 2, 3, 0, 4, 3, 0, 1, 0, 0, 0, 2, 3, 2, 4, 3, 4, 1, 4, 1, 2, 1, 1, 1, 3, 1, 4, 2, 1, 4, 1, 0, 0, 0, 4, 2, 3, 0, 2, 2, 0, 0, 0, 0, 4, 3, 2, 3, 2, 4, 1, 2, 3, 4, 0, 2, 0, 1, 0, 2, 4, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 1, 0, 1, 1, 0, 1, 1, 4, 2, 4, 3, 3, 3, 1, 0, 0, 3, 3, 0, 3, 0, 4, 4, 4, 0, 3, 2, 0, 3, 1, 2, 3, 1, 4, 1, 3, 2, 4, 3, 4, 3, 0, 2, 3, 4, 0, 2, 2, 3, 3, 3, 4, 2, 2, 0, 1, 1, 2, 4, 4, 4, 4, 0, 0, 1, 2, 3, 1, 2, 2, 0, 3, 2, 4, 1, 4, 2, 1, 1, 4, 3, 1, 1, 3, 3] pubkeycol581 = [1, 0, 2, 0, 4, 3, 4, 0, 2, 1, 1, 3, 2, 2, 1, 0, 4, 1, 4, 3, 0, 2, 0, 0, 0, 4, 3, 4, 0, 4, 4, 4, 2, 3, 2, 2, 1, 0, 1, 4, 4, 4, 0, 3, 3, 3, 0, 1, 2, 3, 4, 4, 3, 0, 2, 1, 1, 4, 4, 2, 3, 1, 3, 1, 4, 4, 4, 3, 2, 4, 1, 1, 4, 2, 2, 3, 4, 0, 1, 0, 1, 4, 2, 3, 4, 1, 1, 2, 0, 3, 1, 2, 2, 1, 0, 4, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 3, 2, 4, 2, 3, 0, 0, 4, 3, 3, 3, 2, 2, 3, 4, 4, 0, 3, 1, 1, 4, 1, 3, 0, 4, 1, 3, 3, 3, 0, 1, 0, 4, 1, 2, 4, 1, 1, 2, 2, 4, 2, 4, 4, 2, 3, 3, 4, 3, 2, 1, 4, 4, 2, 1, 0, 0, 0, 1, 1, 1, 4, 1, 2, 4, 4, 1, 3, 0, 4, 0, 3, 2, 3, 1, 4, 4, 0, 2, 3, 0, 3, 3, 0, 4, 4, 2, 3, 0, 4, 0, 4, 0, 0, 2, 0, 4, 1, 4, 2, 4, 2, 2, 2, 3, 2, 3, 2, 1, 4, 4, 2, 0, 0, 1, 2, 3, 1, 3, 1, 4, 2, 4, 4, 0, 0, 0, 1, 0, 0, 1, 3, 4, 0, 3, 4, 1, 1, 3, 4, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 0, 4, 4, 4, 0, 0, 2, 3, 3, 4, 0, 2, 3, 2, 4, 3, 0, 4, 4, 3, 4, 2, 2, 1, 3, 2, 3, 4, 0, 3, 4, 2, 2, 0, 4, 0, 2, 4, 2, 2, 2, 0, 3, 0, 4, 3, 2, 2, 2, 2, 0, 1, 3, 0, 0, 0, 1, 2, 0, 4, 3, 3, 1, 1, 2, 1, 4, 4, 1, 0, 2, 3, 3, 1, 3, 1, 3, 2, 0, 1, 4, 3, 3, 4, 3, 3, 3, 2, 1, 1, 3, 0, 1, 2, 0, 4, 2, 0, 3, 4, 0, 0, 2, 1, 2, 3, 0, 3, 2, 4, 0, 3, 1, 0, 4, 1, 4, 4, 4, 4, 3, 3, 0, 1, 0, 4, 2, 1, 1, 0, 3, 1, 4, 1, 4, 1, 0, 0, 3, 1, 4, 0, 0] pubkeycol582 = [3, 1, 0, 0, 0, 4, 0, 1, 1, 1, 3, 4, 2, 2, 2, 3, 0, 1, 2, 0, 4, 4, 1, 4, 0, 4, 4, 2, 4, 3, 4, 0, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 0, 1, 1, 1, 0, 0, 4, 0, 3, 1, 4, 0, 2, 4, 3, 4, 3, 3, 3, 2, 1, 1, 0, 4, 1, 2, 2, 4, 1, 2, 2, 4, 2, 4, 3, 0, 4, 2, 3, 2, 2, 0, 2, 4, 0, 2, 3, 2, 2, 4, 2, 3, 0, 4, 4, 1, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 2, 0, 0, 4, 4, 2, 1, 3, 0, 1, 1, 0, 2, 2, 4, 1, 3, 1, 0, 0, 3, 1, 4, 2, 1, 4, 0, 0, 2, 2, 4, 3, 0, 0, 1, 0, 2, 4, 4, 1, 1, 4, 1, 0, 4, 0, 4, 2, 2, 1, 0, 4, 3, 4, 1, 4, 2, 3, 4, 0, 3, 1, 1, 4, 1, 4, 0, 2, 0, 2, 4, 4, 4, 0, 2, 4, 3, 1, 1, 3, 1, 0, 3, 2, 2, 2, 3, 1, 0, 4, 2, 3, 1, 3, 3, 1, 3, 4, 1, 4, 0, 1, 4, 3, 1, 2, 4, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 0, 2, 4, 1, 3, 0, 2, 1, 1, 4, 3, 0, 1, 1, 2, 4, 2, 3, 1, 3, 3, 3, 1, 4, 0, 4, 0, 4, 3, 1, 4, 0, 2, 2, 2, 2, 2, 3, 2, 2, 0, 1, 4, 2, 4, 2, 0, 3, 4, 0, 3, 4, 4, 4, 2, 4, 2, 0, 0, 2, 0, 4, 1, 3, 4, 1, 4, 1, 1, 4, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 1, 0, 4, 4, 4, 4, 2, 1, 3, 2, 2, 4, 0, 3, 0, 2, 1, 2, 4, 2, 4, 4, 0, 0, 3, 3, 2, 3, 3, 1, 1, 3, 0, 0, 0, 2, 2, 3, 3, 3, 2, 1, 1, 0, 0, 3, 2, 2, 1, 4, 4, 3, 2, 4, 0, 0, 1, 2, 0, 3, 1, 4, 3, 2, 1, 3, 4, 4, 1, 3, 4, 3, 1, 2, 3, 0, 1, 4, 1, 4, 3, 2, 1, 3, 4, 3, 4, 1, 2, 4] pubkeycol583 = [3, 4, 2, 2, 4, 4, 0, 1, 3, 4, 1, 0, 0, 3, 2, 3, 3, 2, 1, 4, 4, 1, 1, 4, 1, 1, 1, 2, 3, 3, 0, 2, 2, 1, 3, 2, 2, 2, 0, 3, 1, 4, 4, 0, 2, 1, 3, 1, 4, 3, 4, 1, 0, 3, 2, 3, 4, 4, 3, 3, 2, 2, 3, 1, 0, 4, 1, 4, 2, 4, 3, 0, 3, 0, 4, 4, 1, 0, 0, 4, 1, 2, 1, 1, 0, 3, 1, 3, 2, 3, 1, 2, 3, 1, 0, 3, 4, 0, 4, 1, 3, 4, 1, 4, 2, 2, 2, 3, 1, 3, 3, 3, 4, 2, 1, 1, 3, 3, 2, 4, 3, 4, 3, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 3, 2, 4, 4, 4, 3, 3, 4, 1, 0, 0, 2, 4, 1, 2, 2, 0, 1, 3, 4, 1, 2, 2, 0, 4, 2, 3, 3, 2, 4, 3, 0, 4, 3, 4, 1, 2, 1, 2, 1, 4, 1, 1, 2, 0, 0, 0, 1, 0, 3, 4, 4, 0, 3, 4, 2, 3, 2, 2, 4, 2, 1, 2, 0, 2, 3, 1, 1, 2, 3, 2, 2, 2, 1, 4, 0, 2, 3, 2, 0, 4, 1, 4, 4, 2, 0, 4, 3, 3, 3, 2, 2, 0, 3, 0, 4, 1, 2, 0, 0, 1, 1, 3, 1, 4, 1, 4, 3, 4, 2, 1, 3, 1, 4, 4, 0, 3, 1, 3, 2, 3, 3, 4, 4, 1, 1, 3, 4, 0, 1, 2, 0, 0, 0, 3, 0, 2, 2, 3, 0, 0, 2, 1, 2, 2, 1, 0, 4, 4, 4, 1, 0, 1, 1, 4, 4, 2, 2, 3, 1, 4, 2, 3, 3, 3, 3, 1, 0, 0, 1, 4, 1, 1, 4, 2, 3, 4, 4, 2, 1, 1, 3, 1, 3, 2, 1, 1, 2, 2, 3, 4, 2, 0, 4, 2, 3, 0, 0, 3, 4, 1, 4, 0, 0, 1, 1, 2, 1, 2, 3, 3, 3, 2, 1, 3, 1, 1, 0, 3, 1, 3, 0, 3, 3, 1, 2, 3, 3, 4, 2, 1, 4, 0, 0, 0, 4, 1, 3, 3, 3, 4, 1, 0, 1, 3, 4, 0, 4, 2, 3, 3, 4, 0, 2, 1, 4, 2, 1, 1, 2, 2, 0, 1] pubkeycol584 = [3, 3, 3, 4, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 4, 1, 1, 2, 1, 3, 3, 1, 4, 0, 2, 2, 1, 1, 1, 1, 0, 1, 4, 1, 4, 4, 2, 1, 4, 4, 0, 0, 2, 3, 2, 2, 4, 3, 0, 3, 1, 3, 1, 3, 1, 3, 4, 2, 3, 1, 2, 4, 0, 2, 0, 2, 3, 4, 3, 0, 2, 3, 3, 3, 3, 4, 0, 4, 0, 4, 0, 4, 0, 4, 1, 0, 4, 4, 1, 0, 2, 3, 3, 1, 4, 1, 2, 2, 3, 1, 3, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 3, 1, 4, 0, 1, 3, 0, 0, 2, 1, 0, 2, 4, 4, 4, 3, 0, 1, 0, 3, 4, 1, 2, 4, 0, 2, 4, 0, 4, 4, 0, 1, 4, 0, 3, 0, 4, 3, 3, 1, 1, 3, 3, 1, 4, 4, 1, 1, 2, 1, 1, 2, 0, 1, 3, 0, 1, 3, 1, 3, 1, 3, 1, 1, 2, 2, 4, 2, 4, 0, 0, 2, 0, 3, 3, 2, 1, 1, 0, 4, 1, 3, 0, 4, 0, 4, 4, 2, 3, 0, 1, 0, 3, 0, 0, 2, 1, 4, 0, 4, 0, 2, 0, 4, 2, 0, 2, 4, 3, 4, 3, 3, 3, 1, 0, 3, 3, 1, 3, 2, 1, 2, 0, 4, 0, 3, 0, 2, 1, 0, 2, 3, 2, 3, 1, 2, 0, 0, 3, 4, 4, 4, 4, 2, 3, 4, 1, 2, 0, 4, 2, 0, 1, 1, 4, 0, 0, 3, 1, 2, 0, 0, 4, 4, 4, 1, 4, 3, 2, 0, 0, 2, 0, 4, 1, 4, 0, 3, 0, 0, 2, 3, 4, 1, 4, 2, 1, 4, 4, 0, 0, 1, 1, 4, 1, 4, 2, 2, 0, 4, 0, 0, 4, 4, 3, 0, 0, 3, 1, 3, 4, 2, 3, 3, 3, 2, 4, 1, 0, 2, 3, 0, 1, 4, 2, 1, 4, 3, 1, 4, 0, 4, 4, 4, 1, 1, 2, 3, 2, 0, 3, 3, 2, 1, 0, 3, 1, 1, 2, 0, 3, 3, 4, 0, 0, 1, 3, 0, 4, 1, 2, 2, 4, 2, 4, 2, 0, 4, 3, 2, 0, 4, 4, 1, 2, 0, 3, 3, 0, 1, 3, 0, 1, 1, 0, 2, 2, 4] pubkeycol585 = [2, 2, 0, 1, 2, 0, 0, 2, 2, 3, 0, 2, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 0, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 1, 4, 0, 3, 4, 2, 1, 0, 4, 0, 0, 3, 4, 4, 3, 1, 4, 0, 2, 0, 4, 0, 2, 3, 2, 1, 2, 2, 3, 2, 0, 2, 1, 3, 4, 0, 0, 2, 2, 1, 2, 4, 0, 2, 3, 1, 1, 2, 0, 0, 0, 4, 3, 2, 3, 4, 1, 2, 4, 3, 1, 3, 0, 0, 0, 4, 1, 0, 3, 1, 1, 1, 3, 3, 4, 0, 0, 0, 3, 2, 4, 4, 0, 4, 4, 0, 0, 2, 4, 1, 0, 0, 0, 4, 0, 1, 2, 1, 3, 0, 3, 3, 4, 1, 0, 4, 2, 3, 4, 0, 1, 4, 4, 3, 4, 2, 0, 4, 0, 2, 2, 3, 0, 1, 4, 1, 3, 4, 3, 3, 1, 0, 3, 1, 0, 1, 2, 2, 4, 2, 2, 2, 3, 4, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 1, 3, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 4, 0, 4, 1, 1, 4, 1, 2, 3, 1, 4, 4, 3, 3, 4, 0, 0, 2, 3, 0, 0, 1, 3, 3, 1, 2, 2, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 2, 1, 2, 2, 3, 0, 4, 1, 3, 4, 2, 3, 3, 3, 4, 1, 0, 0, 1, 1, 0, 3, 1, 2, 1, 0, 2, 2, 3, 1, 3, 3, 0, 0, 0, 4, 4, 2, 3, 4, 2, 3, 4, 1, 2, 3, 0, 2, 0, 0, 4, 0, 4, 2, 4, 4, 3, 3, 3, 2, 1, 0, 1, 4, 3, 1, 4, 1, 4, 3, 3, 1, 2, 2, 2, 0, 2, 0, 2, 3, 3, 3, 4, 4, 2, 3, 2, 0, 0, 1, 4, 2, 3, 1, 2, 2, 3, 3, 0, 4, 3, 3, 0, 3, 4, 0, 1, 0, 3, 4, 0, 3, 0, 0, 1, 4, 1, 1, 1, 2, 4, 0, 0, 2, 3, 2, 2, 3, 2, 0, 0, 3, 3, 0, 0, 0, 3, 4, 3, 4, 0, 0, 4, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 4, 1, 2, 0, 1] pubkeycol586 = [2, 0, 4, 2, 2, 3, 3, 0, 0, 0, 0, 1, 3, 3, 2, 4, 3, 1, 2, 0, 1, 1, 3, 0, 0, 4, 4, 2, 1, 4, 0, 3, 4, 3, 2, 4, 2, 0, 2, 1, 0, 3, 4, 1, 3, 3, 0, 0, 4, 0, 3, 2, 1, 3, 4, 3, 0, 0, 1, 0, 4, 1, 0, 2, 3, 2, 4, 4, 2, 1, 3, 4, 4, 0, 0, 2, 2, 3, 2, 4, 1, 1, 2, 2, 2, 4, 2, 4, 3, 1, 1, 3, 3, 1, 3, 0, 1, 2, 1, 2, 0, 1, 2, 3, 3, 3, 0, 1, 4, 3, 2, 4, 2, 2, 0, 3, 1, 3, 0, 0, 4, 3, 2, 1, 4, 2, 1, 1, 2, 0, 0, 4, 2, 1, 2, 1, 0, 3, 1, 4, 0, 1, 4, 1, 0, 1, 0, 1, 0, 2, 1, 3, 0, 1, 3, 3, 1, 1, 2, 3, 3, 1, 4, 4, 4, 2, 3, 0, 3, 2, 1, 0, 3, 3, 0, 2, 2, 3, 1, 4, 4, 4, 4, 2, 2, 0, 4, 1, 1, 2, 1, 2, 3, 3, 1, 4, 0, 2, 1, 0, 4, 4, 0, 4, 2, 3, 2, 2, 1, 2, 3, 1, 0, 2, 0, 2, 0, 1, 3, 0, 0, 3, 0, 1, 4, 4, 0, 0, 2, 4, 3, 1, 1, 2, 1, 3, 2, 1, 2, 0, 4, 3, 3, 3, 1, 2, 2, 3, 2, 0, 1, 3, 3, 2, 1, 3, 1, 3, 4, 0, 1, 2, 0, 2, 1, 1, 4, 0, 3, 1, 1, 4, 3, 3, 1, 3, 3, 4, 3, 2, 4, 0, 0, 2, 3, 3, 3, 1, 2, 0, 1, 0, 0, 2, 3, 0, 1, 3, 0, 2, 1, 1, 0, 2, 0, 1, 4, 1, 2, 4, 1, 1, 2, 1, 4, 2, 2, 2, 1, 4, 4, 0, 4, 1, 1, 1, 3, 4, 4, 4, 0, 0, 3, 3, 1, 4, 2, 3, 4, 1, 4, 1, 2, 2, 3, 0, 4, 0, 1, 2, 4, 0, 3, 0, 2, 4, 1, 1, 4, 0, 2, 0, 0, 4, 4, 2, 1, 4, 4, 4, 2, 2, 3, 1, 0, 2, 0, 3, 4, 2, 4, 1, 1, 4, 2, 4, 2, 0, 3, 4, 1, 0, 1, 4, 4, 4, 1, 0, 0, 1] pubkeycol587 = [1, 1, 1, 4, 4, 2, 1, 2, 1, 3, 0, 2, 0, 3, 3, 0, 2, 2, 0, 1, 4, 4, 4, 2, 4, 2, 4, 2, 0, 0, 2, 2, 1, 0, 0, 3, 2, 0, 0, 3, 2, 3, 0, 3, 0, 0, 4, 3, 1, 0, 0, 2, 4, 1, 0, 4, 1, 3, 3, 4, 1, 3, 0, 4, 3, 3, 4, 0, 0, 0, 3, 1, 4, 2, 1, 1, 0, 4, 0, 0, 0, 2, 3, 4, 2, 2, 2, 3, 4, 2, 4, 1, 2, 3, 3, 3, 0, 2, 1, 0, 4, 0, 4, 1, 2, 1, 2, 3, 3, 1, 2, 3, 1, 1, 2, 2, 4, 4, 4, 4, 3, 0, 1, 0, 0, 2, 4, 3, 1, 0, 2, 1, 0, 1, 3, 2, 0, 1, 0, 0, 2, 4, 3, 1, 1, 0, 0, 3, 1, 4, 4, 4, 0, 3, 3, 1, 3, 2, 2, 3, 1, 0, 3, 3, 1, 3, 1, 2, 0, 3, 0, 3, 3, 1, 2, 4, 0, 4, 1, 3, 2, 2, 0, 2, 4, 2, 4, 0, 1, 1, 1, 3, 3, 1, 2, 4, 4, 1, 0, 4, 2, 4, 4, 3, 0, 1, 4, 4, 3, 1, 4, 1, 3, 4, 1, 3, 3, 0, 1, 1, 4, 0, 3, 4, 2, 1, 1, 3, 4, 3, 1, 2, 2, 0, 3, 0, 3, 0, 3, 4, 4, 4, 0, 3, 1, 3, 3, 3, 1, 0, 1, 1, 0, 3, 0, 1, 3, 0, 4, 1, 4, 0, 1, 1, 2, 4, 4, 2, 4, 0, 2, 0, 3, 3, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 4, 3, 0, 0, 4, 2, 2, 4, 3, 0, 4, 0, 1, 3, 1, 2, 1, 4, 4, 2, 2, 3, 2, 1, 4, 1, 0, 0, 4, 3, 4, 4, 4, 4, 1, 3, 2, 4, 0, 4, 2, 4, 4, 1, 1, 2, 0, 4, 4, 4, 1, 4, 1, 3, 3, 0, 0, 3, 3, 1, 0, 2, 1, 2, 0, 1, 2, 0, 4, 4, 1, 4, 2, 2, 4, 4, 3, 4, 0, 3, 0, 1, 0, 3, 3, 2, 1, 4, 3, 1, 2, 1, 0, 4, 1, 1, 0, 0, 3, 1, 4, 3, 2, 4, 4, 0, 1, 2, 1, 2, 0, 0, 1, 4, 0, 1] pubkeycol588 = [0, 2, 0, 2, 3, 3, 1, 2, 4, 4, 2, 0, 0, 1, 3, 1, 3, 3, 2, 2, 2, 3, 0, 4, 3, 2, 0, 4, 0, 1, 0, 0, 3, 1, 4, 0, 2, 1, 3, 2, 2, 2, 0, 4, 2, 2, 4, 2, 1, 3, 4, 2, 0, 1, 1, 0, 0, 2, 0, 0, 4, 1, 3, 3, 0, 2, 1, 0, 1, 1, 3, 2, 3, 0, 3, 1, 4, 1, 3, 2, 2, 4, 3, 2, 0, 1, 0, 3, 1, 2, 2, 1, 3, 2, 0, 3, 2, 4, 4, 2, 4, 1, 0, 1, 3, 3, 0, 4, 2, 2, 1, 0, 1, 2, 4, 4, 2, 2, 0, 0, 4, 0, 0, 4, 1, 3, 1, 3, 2, 3, 4, 1, 2, 2, 1, 4, 0, 3, 2, 3, 2, 3, 4, 4, 0, 1, 1, 3, 4, 3, 3, 4, 4, 2, 1, 4, 4, 4, 4, 0, 2, 1, 3, 3, 3, 1, 3, 4, 0, 1, 4, 2, 2, 2, 4, 3, 3, 4, 1, 4, 3, 0, 1, 2, 1, 3, 0, 1, 4, 1, 4, 2, 4, 0, 2, 1, 4, 4, 3, 4, 0, 4, 0, 4, 2, 2, 3, 1, 2, 2, 1, 2, 3, 4, 3, 3, 4, 4, 2, 3, 0, 0, 2, 4, 1, 3, 0, 0, 1, 3, 4, 0, 4, 3, 2, 2, 2, 4, 1, 0, 4, 3, 4, 0, 1, 1, 4, 4, 0, 1, 4, 1, 2, 4, 4, 2, 4, 2, 3, 2, 0, 1, 0, 1, 1, 1, 1, 4, 1, 0, 1, 0, 3, 4, 3, 3, 2, 4, 0, 4, 1, 0, 4, 0, 4, 4, 1, 3, 1, 0, 2, 4, 2, 2, 4, 3, 1, 1, 4, 0, 2, 0, 3, 1, 0, 3, 0, 0, 1, 2, 2, 4, 0, 3, 1, 1, 3, 4, 0, 4, 4, 2, 4, 0, 3, 1, 4, 1, 4, 3, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 4, 1, 1, 1, 1, 1, 1, 3, 3, 2, 3, 2, 0, 1, 2, 2, 1, 4, 4, 4, 2, 1, 2, 4, 1, 3, 0, 4, 2, 2, 2, 3, 0, 3, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 4, 0, 2, 3, 0, 4, 4, 4, 4, 4, 2, 4, 4, 3, 0] pubkeycol589 = [1, 4, 1, 0, 2, 2, 0, 0, 3, 2, 2, 1, 0, 3, 2, 4, 1, 1, 4, 4, 3, 4, 0, 1, 4, 0, 2, 0, 1, 3, 4, 3, 3, 3, 3, 4, 0, 2, 3, 0, 2, 4, 3, 3, 3, 0, 2, 2, 1, 3, 1, 1, 0, 2, 2, 0, 3, 0, 4, 1, 0, 3, 0, 4, 2, 1, 2, 0, 0, 3, 4, 0, 3, 2, 0, 0, 3, 1, 0, 3, 0, 1, 3, 3, 2, 4, 3, 0, 3, 3, 3, 0, 4, 0, 3, 0, 3, 3, 4, 1, 3, 4, 0, 1, 1, 4, 3, 3, 2, 4, 4, 1, 0, 1, 3, 3, 3, 4, 1, 0, 1, 4, 2, 0, 4, 2, 2, 0, 0, 2, 2, 2, 3, 4, 0, 0, 3, 1, 3, 2, 3, 4, 3, 4, 0, 1, 2, 3, 4, 4, 0, 0, 0, 3, 3, 3, 0, 4, 0, 4, 4, 0, 1, 4, 4, 1, 1, 0, 2, 1, 2, 2, 0, 1, 4, 1, 0, 1, 4, 3, 3, 1, 3, 0, 2, 0, 3, 1, 0, 3, 1, 4, 2, 3, 3, 1, 3, 3, 0, 0, 2, 2, 0, 4, 3, 1, 3, 2, 3, 2, 4, 1, 2, 1, 0, 2, 3, 0, 4, 3, 2, 2, 2, 0, 1, 2, 0, 2, 4, 4, 4, 1, 1, 4, 1, 4, 1, 0, 4, 4, 3, 2, 2, 3, 3, 2, 3, 1, 1, 3, 1, 3, 4, 3, 0, 3, 3, 2, 2, 2, 1, 2, 1, 0, 0, 4, 4, 3, 4, 4, 0, 0, 2, 1, 0, 2, 0, 3, 3, 0, 4, 2, 2, 1, 3, 4, 2, 4, 0, 0, 0, 2, 3, 1, 1, 3, 3, 2, 4, 4, 3, 4, 4, 2, 0, 3, 2, 2, 0, 3, 0, 0, 4, 4, 4, 4, 1, 1, 1, 0, 3, 0, 4, 2, 1, 1, 3, 2, 4, 4, 1, 0, 4, 0, 4, 1, 1, 1, 4, 1, 0, 3, 4, 3, 0, 4, 2, 1, 2, 4, 2, 2, 3, 1, 4, 3, 0, 4, 1, 0, 4, 3, 0, 3, 1, 1, 1, 4, 0, 2, 0, 3, 0, 3, 0, 0, 1, 4, 1, 3, 2, 1, 3, 2, 3, 2, 0, 2, 1, 2, 0, 4, 0, 0, 3, 4, 2, 0, 4, 0] pubkeycol590 = [4, 3, 3, 2, 3, 4, 2, 3, 2, 4, 1, 4, 2, 3, 3, 3, 4, 4, 0, 4, 0, 2, 4, 4, 3, 3, 0, 4, 1, 3, 1, 3, 1, 1, 1, 0, 0, 0, 0, 1, 4, 2, 0, 3, 1, 0, 4, 4, 1, 3, 0, 4, 4, 0, 4, 0, 4, 3, 4, 1, 3, 3, 3, 1, 4, 2, 4, 4, 3, 4, 1, 1, 3, 0, 1, 4, 3, 0, 3, 3, 4, 4, 0, 1, 2, 1, 3, 1, 2, 0, 4, 2, 3, 4, 2, 0, 1, 1, 2, 4, 3, 0, 0, 4, 0, 1, 4, 2, 2, 1, 2, 3, 4, 0, 3, 2, 0, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 2, 1, 3, 4, 2, 4, 4, 0, 2, 0, 4, 4, 4, 4, 2, 1, 3, 1, 3, 2, 3, 0, 0, 1, 1, 3, 0, 0, 0, 3, 1, 0, 2, 1, 2, 4, 2, 3, 1, 3, 3, 3, 4, 0, 2, 1, 1, 0, 3, 4, 2, 0, 2, 0, 1, 1, 0, 3, 1, 3, 0, 4, 4, 3, 1, 0, 2, 2, 3, 4, 3, 0, 4, 4, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 3, 0, 3, 3, 0, 1, 4, 1, 0, 1, 0, 0, 0, 2, 2, 3, 1, 0, 1, 1, 3, 1, 2, 2, 0, 2, 0, 4, 0, 2, 0, 4, 1, 3, 4, 4, 3, 2, 3, 3, 2, 4, 4, 2, 0, 1, 1, 2, 4, 4, 1, 1, 1, 0, 2, 4, 1, 4, 1, 3, 0, 4, 4, 4, 2, 2, 3, 4, 1, 1, 1, 0, 1, 1, 3, 4, 4, 2, 0, 2, 3, 4, 0, 4, 4, 1, 1, 4, 4, 2, 3, 3, 4, 3, 0, 2, 2, 2, 3, 3, 3, 4, 4, 1, 3, 1, 2, 2, 1, 0, 4, 3, 2, 3, 2, 4, 0, 0, 4, 4, 4, 0, 1, 1, 4, 2, 4, 1, 1, 2, 1, 0, 1, 0, 2, 3, 4, 0, 2, 4, 3, 0, 4, 0, 2, 2, 1, 4, 2, 0, 4, 1, 2, 4, 0, 0, 2, 3, 3, 1, 1, 2, 4, 1, 2, 3, 3, 3, 0, 2, 2, 0, 4, 3, 4, 3, 1, 3, 0, 3, 3, 2, 1, 1, 3, 2, 3, 3, 4] pubkeycol591 = [3, 4, 2, 2, 2, 4, 0, 2, 4, 4, 0, 4, 1, 0, 4, 4, 4, 1, 1, 3, 0, 2, 1, 4, 4, 3, 4, 2, 1, 1, 0, 4, 0, 2, 2, 1, 3, 1, 2, 0, 4, 0, 4, 1, 2, 2, 1, 3, 0, 4, 2, 0, 0, 1, 1, 3, 4, 2, 2, 1, 3, 3, 1, 3, 4, 2, 0, 3, 0, 2, 2, 4, 3, 4, 1, 2, 2, 1, 4, 2, 1, 1, 0, 0, 2, 3, 0, 4, 4, 2, 2, 3, 2, 0, 2, 4, 0, 0, 4, 2, 3, 1, 1, 4, 4, 4, 1, 2, 1, 0, 4, 1, 1, 2, 0, 4, 2, 4, 2, 1, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 0, 2, 0, 4, 2, 0, 1, 3, 3, 2, 3, 1, 4, 4, 2, 3, 1, 0, 4, 0, 3, 0, 0, 3, 1, 3, 2, 0, 1, 1, 0, 3, 3, 4, 1, 3, 2, 1, 3, 4, 3, 3, 0, 3, 2, 3, 1, 2, 0, 2, 3, 3, 2, 2, 4, 2, 1, 4, 1, 0, 3, 4, 2, 1, 2, 3, 0, 0, 4, 4, 3, 4, 4, 0, 4, 1, 3, 0, 4, 1, 4, 3, 0, 4, 0, 4, 2, 2, 0, 1, 4, 1, 3, 4, 2, 0, 2, 3, 0, 4, 4, 1, 3, 3, 3, 2, 3, 4, 2, 2, 4, 3, 1, 3, 3, 4, 2, 2, 2, 3, 4, 4, 3, 2, 4, 2, 4, 2, 2, 4, 3, 0, 0, 4, 0, 1, 0, 1, 0, 0, 2, 2, 3, 4, 1, 4, 4, 3, 0, 3, 3, 0, 4, 1, 3, 2, 1, 2, 1, 3, 4, 0, 1, 4, 4, 2, 1, 3, 0, 3, 2, 2, 0, 1, 0, 2, 4, 3, 1, 1, 1, 2, 0, 4, 0, 0, 1, 4, 2, 2, 0, 1, 0, 0, 3, 3, 0, 2, 4, 0, 3, 2, 0, 4, 2, 4, 2, 0, 2, 1, 1, 3, 2, 0, 4, 2, 1, 1, 0, 4, 2, 4, 4, 3, 2, 3, 3, 1, 1, 1, 1, 4, 1, 2, 1, 3, 1, 1, 2, 0, 2, 0, 3, 2, 4, 4, 2, 4, 4, 1, 3, 2, 3, 1, 4, 2, 0, 2, 1, 3, 4, 0, 4, 4, 3, 0, 2, 0, 0, 0] pubkeycol592 = [1, 2, 2, 4, 4, 3, 4, 2, 2, 2, 1, 3, 2, 1, 3, 2, 3, 3, 1, 4, 2, 1, 0, 3, 3, 1, 0, 2, 2, 0, 4, 4, 1, 1, 2, 0, 2, 4, 4, 4, 1, 1, 2, 0, 0, 3, 2, 1, 3, 3, 0, 4, 4, 4, 2, 0, 0, 1, 3, 2, 1, 4, 2, 2, 3, 0, 1, 0, 4, 2, 4, 4, 1, 1, 0, 2, 2, 1, 2, 0, 2, 4, 0, 1, 0, 3, 2, 2, 3, 4, 2, 4, 2, 0, 0, 2, 2, 3, 4, 0, 1, 3, 4, 0, 1, 1, 3, 1, 0, 1, 0, 4, 1, 4, 1, 4, 2, 4, 3, 3, 1, 2, 1, 1, 2, 0, 3, 1, 3, 4, 3, 0, 0, 2, 0, 3, 0, 0, 1, 4, 1, 0, 3, 4, 0, 1, 2, 3, 3, 4, 4, 1, 4, 3, 1, 3, 4, 2, 3, 1, 0, 2, 4, 2, 2, 0, 0, 4, 0, 1, 2, 3, 4, 2, 4, 0, 1, 2, 2, 2, 3, 3, 0, 4, 2, 4, 4, 0, 1, 2, 1, 0, 3, 1, 2, 1, 4, 3, 4, 2, 4, 0, 3, 0, 2, 2, 4, 2, 4, 3, 3, 3, 4, 0, 3, 3, 2, 0, 2, 4, 4, 0, 1, 3, 1, 0, 4, 4, 1, 2, 4, 0, 1, 1, 2, 2, 4, 1, 1, 3, 1, 3, 2, 2, 3, 4, 0, 1, 1, 0, 3, 4, 2, 4, 1, 0, 0, 4, 3, 3, 4, 1, 3, 2, 0, 1, 4, 2, 4, 3, 0, 2, 2, 2, 0, 2, 3, 0, 2, 4, 3, 0, 3, 2, 3, 4, 1, 4, 2, 1, 2, 3, 2, 0, 1, 1, 2, 4, 4, 3, 2, 1, 3, 3, 4, 0, 4, 2, 4, 1, 0, 3, 0, 3, 0, 4, 4, 2, 0, 4, 3, 4, 2, 3, 1, 1, 0, 3, 3, 3, 0, 2, 2, 1, 0, 1, 4, 2, 3, 2, 4, 3, 1, 4, 1, 1, 0, 4, 0, 4, 2, 1, 3, 2, 3, 1, 1, 1, 2, 1, 1, 3, 0, 3, 4, 4, 3, 1, 3, 1, 1, 3, 0, 0, 3, 1, 3, 0, 3, 4, 4, 4, 2, 2, 0, 2, 1, 4, 2, 1, 4, 2, 1, 4, 1, 0, 4, 2, 3, 4] pubkeycol593 = [0, 1, 1, 0, 0, 3, 3, 2, 0, 1, 4, 1, 3, 0, 1, 4, 0, 3, 0, 4, 4, 3, 0, 3, 0, 3, 3, 0, 1, 0, 1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 3, 0, 2, 0, 2, 0, 3, 3, 1, 3, 4, 4, 4, 2, 2, 2, 3, 1, 0, 2, 0, 3, 3, 3, 3, 1, 3, 4, 1, 1, 1, 2, 3, 1, 4, 3, 0, 3, 4, 4, 1, 3, 1, 3, 4, 0, 3, 0, 4, 4, 0, 1, 2, 1, 1, 1, 4, 3, 1, 2, 1, 4, 2, 2, 1, 2, 0, 0, 0, 3, 2, 4, 4, 4, 3, 2, 1, 1, 2, 3, 1, 3, 3, 1, 0, 2, 4, 4, 1, 2, 3, 3, 0, 3, 4, 3, 2, 1, 1, 4, 3, 0, 0, 3, 3, 0, 4, 4, 1, 0, 0, 1, 0, 1, 0, 1, 2, 4, 1, 3, 0, 4, 0, 4, 0, 1, 0, 3, 4, 3, 3, 4, 1, 1, 4, 4, 0, 1, 2, 4, 1, 3, 0, 0, 4, 2, 4, 1, 0, 1, 3, 4, 0, 2, 3, 4, 2, 2, 4, 1, 1, 4, 2, 4, 3, 0, 4, 4, 3, 3, 4, 3, 3, 1, 3, 0, 2, 3, 1, 2, 2, 1, 4, 4, 4, 4, 1, 3, 3, 2, 1, 2, 0, 3, 2, 4, 0, 3, 2, 4, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 2, 0, 3, 4, 2, 3, 1, 3, 1, 3, 2, 3, 1, 0, 4, 2, 4, 2, 2, 4, 0, 3, 0, 2, 1, 1, 0, 2, 1, 4, 0, 4, 0, 0, 0, 1, 3, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 4, 3, 3, 1, 1, 4, 0, 0, 3, 4, 4, 4, 1, 1, 4, 2, 1, 2, 1, 3, 1, 0, 1, 3, 0, 2, 2, 2, 4, 1, 1, 4, 4, 1, 3, 3, 3, 0, 0, 4, 2, 0, 3, 3, 4, 3, 2, 1, 4, 1, 1, 3, 0, 1, 2, 4, 1, 2, 2, 0, 1, 3, 1, 2, 2, 1, 1, 3, 3, 3, 3, 4, 1, 2, 0, 2, 3, 4, 4, 2, 2, 0, 1, 4, 1, 1, 1, 4, 1, 4] pubkeycol594 = [0, 3, 1, 4, 0, 4, 3, 4, 0, 2, 0, 2, 4, 2, 3, 4, 4, 2, 3, 4, 4, 2, 3, 4, 0, 1, 2, 4, 2, 4, 2, 2, 0, 1, 3, 2, 4, 0, 0, 2, 0, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 4, 0, 2, 3, 0, 2, 3, 1, 3, 1, 2, 3, 2, 1, 4, 4, 1, 4, 1, 4, 1, 4, 3, 0, 2, 0, 3, 1, 3, 1, 0, 1, 4, 4, 3, 0, 0, 2, 2, 0, 0, 3, 1, 4, 1, 2, 2, 1, 0, 3, 4, 0, 1, 1, 2, 2, 4, 0, 4, 0, 2, 3, 0, 0, 0, 3, 0, 0, 1, 3, 4, 2, 0, 3, 3, 3, 3, 2, 4, 1, 3, 2, 1, 1, 2, 0, 0, 2, 0, 4, 0, 3, 4, 0, 3, 3, 3, 1, 0, 4, 1, 1, 0, 1, 2, 3, 4, 2, 3, 2, 1, 4, 4, 2, 1, 4, 0, 3, 1, 4, 0, 2, 2, 3, 2, 4, 4, 1, 3, 1, 2, 2, 1, 1, 0, 3, 3, 3, 3, 2, 0, 3, 4, 1, 3, 3, 3, 4, 1, 1, 0, 1, 2, 1, 3, 0, 2, 2, 4, 1, 2, 0, 4, 2, 3, 0, 2, 2, 3, 2, 1, 3, 4, 0, 0, 1, 2, 3, 0, 2, 0, 3, 0, 3, 1, 0, 3, 1, 4, 0, 4, 3, 1, 2, 0, 0, 2, 3, 2, 4, 3, 1, 1, 4, 3, 1, 2, 0, 2, 3, 1, 0, 0, 3, 0, 1, 4, 0, 0, 2, 2, 1, 0, 3, 2, 3, 2, 2, 0, 4, 3, 4, 0, 3, 1, 2, 2, 2, 2, 4, 0, 3, 0, 3, 1, 1, 1, 0, 0, 0, 4, 3, 3, 0, 2, 0, 3, 4, 1, 1, 3, 4, 4, 1, 2, 1, 1, 0, 4, 2, 0, 4, 0, 0, 0, 1, 2, 0, 4, 4, 2, 3, 0, 2, 0, 3, 3, 1, 4, 3, 3, 4, 0, 2, 1, 1, 4, 3, 1, 0, 1, 0, 1, 3, 0, 1, 4, 2, 3, 3, 3, 3, 4, 4, 0, 1, 2, 3, 1, 1, 4, 2, 2, 1, 2, 3, 2, 4, 0, 2, 2, 4, 0, 2, 3, 3, 4, 4, 4, 4, 0, 1, 4, 2, 2, 3, 0, 1, 4] pubkeycol595 = [1, 2, 4, 3, 2, 4, 1, 2, 3, 4, 2, 2, 1, 2, 4, 3, 1, 1, 0, 2, 1, 3, 3, 1, 2, 1, 3, 3, 4, 3, 4, 4, 3, 4, 2, 2, 1, 0, 0, 4, 4, 0, 2, 3, 1, 4, 2, 0, 1, 2, 0, 3, 1, 3, 1, 4, 4, 0, 3, 4, 3, 3, 1, 2, 1, 3, 1, 4, 3, 3, 1, 0, 0, 4, 0, 2, 4, 2, 3, 1, 3, 1, 4, 2, 2, 3, 3, 0, 1, 4, 1, 3, 2, 2, 0, 0, 4, 1, 2, 3, 0, 0, 4, 2, 4, 2, 4, 1, 2, 3, 3, 4, 4, 4, 0, 3, 4, 4, 1, 2, 3, 4, 2, 2, 0, 4, 4, 4, 4, 1, 0, 2, 4, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 4, 2, 2, 2, 4, 4, 0, 4, 2, 2, 0, 4, 0, 3, 0, 2, 3, 4, 0, 1, 0, 2, 1, 3, 4, 1, 3, 2, 1, 0, 3, 1, 4, 3, 3, 3, 1, 1, 4, 3, 3, 3, 1, 2, 3, 1, 0, 2, 3, 3, 0, 3, 3, 3, 0, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 4, 3, 2, 0, 4, 0, 2, 2, 0, 1, 3, 3, 3, 0, 0, 3, 4, 4, 4, 4, 4, 3, 1, 4, 0, 4, 1, 3, 4, 3, 2, 2, 1, 4, 3, 1, 3, 1, 0, 2, 1, 1, 0, 2, 3, 1, 0, 3, 2, 1, 2, 1, 3, 0, 4, 1, 1, 2, 3, 1, 4, 3, 3, 1, 2, 0, 3, 2, 1, 1, 0, 3, 3, 4, 0, 3, 2, 1, 0, 4, 4, 1, 1, 4, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 3, 0, 1, 3, 1, 0, 2, 2, 0, 4, 4, 4, 3, 2, 4, 1, 2, 3, 1, 2, 4, 2, 1, 2, 2, 2, 3, 0, 4, 0, 0, 0, 0, 1, 1, 3, 1, 2, 0, 4, 4, 2, 3, 1, 2, 1, 4, 0, 1, 0, 4, 2, 3, 2, 1, 3, 4, 2, 0, 2, 3, 2, 0, 4, 2, 1, 0, 4, 2, 2, 1, 2, 1, 4, 1, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 3, 4, 2, 3, 3, 2, 4, 2, 0, 3, 2, 0, 3] pubkeycol596 = [2, 4, 4, 4, 3, 0, 3, 0, 3, 4, 2, 0, 0, 0, 1, 1, 4, 4, 3, 2, 4, 1, 3, 2, 0, 2, 0, 0, 3, 3, 0, 2, 2, 0, 0, 4, 1, 1, 0, 1, 4, 3, 4, 2, 4, 0, 4, 2, 2, 4, 1, 3, 0, 0, 0, 1, 0, 0, 3, 3, 3, 3, 4, 0, 3, 2, 3, 2, 2, 4, 2, 0, 4, 3, 2, 3, 2, 2, 1, 0, 1, 3, 3, 4, 3, 0, 2, 0, 4, 4, 3, 2, 0, 0, 1, 3, 1, 3, 3, 0, 2, 3, 4, 3, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 3, 0, 4, 0, 0, 0, 0, 1, 1, 1, 0, 2, 4, 4, 1, 4, 1, 4, 0, 2, 4, 0, 4, 0, 2, 0, 2, 4, 3, 1, 0, 0, 3, 0, 3, 0, 1, 2, 0, 0, 1, 4, 4, 4, 0, 3, 0, 1, 2, 3, 1, 0, 3, 2, 2, 1, 1, 3, 1, 3, 0, 0, 4, 1, 3, 1, 1, 0, 4, 1, 0, 2, 1, 1, 0, 1, 1, 3, 1, 3, 2, 1, 0, 3, 1, 1, 1, 4, 1, 3, 4, 3, 2, 1, 4, 0, 1, 3, 4, 0, 0, 1, 3, 0, 2, 2, 0, 0, 2, 0, 3, 0, 0, 4, 4, 4, 1, 1, 3, 2, 1, 1, 0, 1, 3, 0, 0, 4, 1, 2, 4, 2, 1, 4, 4, 3, 1, 3, 0, 1, 2, 0, 3, 2, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 2, 0, 2, 3, 4, 1, 2, 0, 3, 2, 3, 3, 0, 0, 1, 1, 1, 3, 2, 4, 4, 4, 0, 3, 4, 1, 0, 1, 2, 4, 1, 2, 3, 0, 3, 4, 2, 0, 3, 4, 3, 2, 3, 0, 4, 3, 1, 3, 2, 3, 2, 2, 4, 2, 3, 3, 4, 1, 0, 0, 1, 0, 1, 3, 3, 3, 3, 1, 3, 1, 2, 4, 0, 3, 0, 3, 4, 1, 0, 2, 1, 3, 2, 1, 2, 4, 4, 1, 1, 3, 4, 4, 2, 0, 0, 2, 3, 2, 3, 2, 3, 1, 2, 4, 1, 4, 0, 1, 4, 3, 0, 1, 3, 1, 0, 1, 3, 4, 2, 2, 0, 1, 0, 4, 3, 0, 0, 2, 2, 4] pubkeycol597 = [2, 3, 2, 1, 2, 1, 0, 2, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 4, 2, 1, 1, 0, 0, 1, 3, 4, 4, 1, 1, 2, 0, 1, 1, 0, 4, 1, 2, 4, 4, 3, 3, 4, 2, 2, 2, 1, 0, 4, 3, 3, 1, 3, 4, 3, 0, 3, 0, 3, 3, 1, 2, 2, 3, 0, 0, 0, 3, 3, 0, 4, 3, 0, 2, 4, 2, 0, 3, 2, 1, 4, 0, 1, 3, 2, 4, 4, 3, 4, 3, 2, 4, 4, 1, 0, 4, 1, 3, 2, 2, 3, 2, 4, 1, 4, 2, 0, 3, 3, 3, 4, 3, 3, 2, 2, 1, 1, 1, 1, 4, 2, 3, 3, 0, 0, 2, 2, 4, 3, 3, 1, 3, 3, 4, 3, 0, 4, 0, 0, 3, 0, 2, 3, 3, 2, 4, 2, 2, 2, 4, 4, 0, 3, 2, 4, 3, 0, 2, 4, 3, 3, 0, 3, 4, 3, 0, 2, 1, 4, 3, 0, 4, 2, 4, 3, 1, 2, 3, 3, 0, 3, 4, 0, 4, 0, 0, 3, 4, 4, 2, 1, 2, 0, 0, 1, 3, 0, 1, 1, 1, 2, 3, 1, 1, 4, 4, 4, 0, 2, 2, 0, 2, 4, 1, 1, 4, 4, 3, 1, 3, 3, 1, 4, 1, 2, 2, 3, 3, 1, 2, 3, 4, 1, 2, 3, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 4, 4, 3, 4, 1, 2, 1, 3, 0, 1, 2, 0, 1, 2, 1, 3, 3, 3, 4, 0, 1, 0, 1, 0, 4, 4, 1, 1, 2, 2, 0, 1, 4, 3, 1, 4, 2, 2, 2, 2, 0, 2, 3, 0, 3, 4, 1, 3, 0, 4, 3, 3, 1, 1, 1, 0, 2, 3, 4, 0, 2, 2, 3, 3, 3, 3, 3, 3, 2, 4, 2, 2, 4, 1, 2, 1, 0, 0, 0, 1, 0, 3, 0, 3, 1, 2, 2, 4, 0, 4, 2, 4, 3, 4, 1, 0, 4, 2, 1, 0, 0, 3, 0, 3, 0, 3, 1, 2, 2, 4, 4, 2, 0, 1, 4, 4, 3, 1, 1, 3, 0, 0, 4, 2, 3, 3, 3, 4, 2, 4, 0, 1, 3, 2, 2, 0, 4, 4, 3, 0, 0, 4, 1, 2, 3, 3, 2, 0, 1, 0, 1, 3, 2, 2, 1] pubkeycol598 = [3, 4, 3, 4, 1, 4, 0, 4, 4, 1, 2, 1, 4, 1, 3, 1, 2, 2, 1, 1, 2, 0, 4, 1, 4, 0, 3, 3, 4, 1, 4, 0, 4, 3, 4, 0, 1, 4, 3, 1, 1, 2, 2, 4, 4, 4, 0, 4, 0, 2, 1, 2, 0, 0, 0, 0, 4, 4, 3, 3, 4, 4, 1, 2, 2, 0, 2, 3, 3, 3, 3, 0, 0, 1, 3, 2, 1, 1, 4, 0, 3, 4, 3, 2, 4, 4, 3, 1, 4, 0, 0, 2, 1, 2, 3, 2, 0, 3, 2, 0, 1, 2, 2, 3, 3, 0, 3, 0, 3, 4, 0, 2, 2, 0, 2, 2, 4, 1, 0, 0, 1, 1, 4, 0, 1, 4, 4, 2, 0, 0, 4, 4, 1, 3, 3, 4, 2, 0, 2, 1, 0, 2, 3, 0, 1, 3, 4, 2, 4, 4, 4, 3, 0, 0, 1, 1, 3, 4, 1, 0, 0, 0, 1, 0, 0, 1, 2, 4, 3, 3, 2, 3, 4, 3, 2, 3, 4, 3, 1, 2, 3, 4, 1, 4, 1, 4, 2, 0, 4, 3, 3, 4, 0, 4, 1, 0, 0, 3, 4, 4, 3, 3, 1, 0, 3, 2, 1, 3, 3, 4, 1, 3, 3, 2, 4, 0, 1, 2, 3, 4, 4, 0, 4, 2, 2, 4, 4, 0, 3, 1, 4, 0, 4, 3, 1, 0, 0, 2, 3, 3, 3, 2, 0, 2, 3, 4, 3, 2, 4, 1, 2, 2, 0, 3, 4, 2, 3, 1, 3, 1, 4, 0, 0, 2, 2, 2, 1, 1, 4, 0, 2, 2, 4, 2, 0, 4, 2, 3, 3, 4, 4, 4, 2, 1, 2, 1, 0, 3, 0, 1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 2, 1, 3, 2, 4, 3, 0, 3, 3, 2, 3, 2, 4, 4, 0, 1, 2, 2, 2, 2, 1, 2, 3, 0, 1, 4, 0, 3, 2, 1, 1, 3, 0, 2, 0, 4, 2, 0, 3, 2, 1, 3, 3, 4, 0, 1, 2, 3, 0, 0, 2, 2, 1, 0, 4, 4, 3, 0, 4, 0, 2, 4, 4, 2, 1, 4, 4, 0, 2, 2, 1, 3, 2, 4, 4, 4, 1, 4, 1, 4, 3, 3, 4, 0, 3, 1, 2, 4, 2, 0, 2, 0, 0, 3, 3, 1, 2, 2, 0] pubkeycol599 = [2, 0, 2, 4, 4, 4, 3, 1, 2, 3, 2, 0, 3, 0, 0, 2, 0, 1, 4, 4, 4, 4, 4, 1, 1, 2, 0, 1, 0, 3, 1, 3, 4, 0, 0, 3, 4, 1, 1, 3, 0, 4, 2, 4, 4, 4, 3, 1, 2, 4, 4, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 3, 4, 4, 4, 3, 0, 4, 4, 3, 2, 2, 2, 2, 1, 3, 3, 1, 0, 2, 0, 0, 2, 0, 0, 1, 4, 1, 2, 3, 0, 2, 4, 4, 4, 4, 3, 3, 2, 2, 1, 4, 3, 3, 0, 3, 2, 1, 3, 2, 1, 0, 0, 4, 4, 1, 2, 2, 4, 3, 3, 1, 4, 1, 4, 0, 2, 3, 1, 2, 0, 2, 0, 3, 3, 4, 4, 2, 3, 1, 2, 2, 3, 1, 2, 2, 1, 3, 4, 2, 4, 4, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 3, 4, 1, 0, 1, 0, 2, 3, 2, 3, 1, 4, 3, 4, 0, 1, 4, 1, 4, 3, 1, 4, 3, 4, 4, 3, 4, 3, 4, 4, 1, 1, 0, 4, 1, 4, 1, 3, 0, 4, 3, 1, 4, 4, 4, 4, 4, 1, 1, 3, 4, 2, 4, 3, 3, 4, 0, 1, 0, 0, 4, 3, 1, 2, 1, 1, 1, 2, 4, 2, 0, 0, 0, 4, 2, 2, 2, 3, 2, 1, 4, 0, 1, 4, 2, 0, 0, 2, 0, 2, 2, 3, 1, 2, 4, 0, 0, 4, 4, 0, 4, 2, 2, 1, 4, 4, 2, 4, 4, 1, 3, 3, 0, 0, 3, 1, 4, 0, 2, 1, 4, 2, 3, 2, 1, 4, 2, 4, 3, 2, 4, 1, 1, 0, 0, 0, 0, 2, 4, 4, 0, 1, 2, 4, 1, 2, 4, 2, 3, 3, 0, 2, 3, 3, 2, 1, 2, 1, 4, 0, 2, 4, 0, 3, 1, 2, 1, 3, 0, 0, 1, 4, 1, 1, 1, 3, 1, 3, 3, 0, 1, 4, 3, 2, 0, 1, 1, 4, 4, 0, 3, 2, 4, 3, 1, 2, 2, 3, 3, 4, 0, 0, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 2, 2, 4, 0, 1, 4, 2, 1, 0, 0, 2, 4, 0, 2, 0, 1, 1, 3] pubkeycol600 = [0, 4, 4, 1, 2, 4, 1, 2, 2, 2, 2, 2, 0, 3, 0, 4, 3, 3, 1, 2, 4, 4, 0, 2, 3, 2, 4, 0, 0, 1, 1, 0, 2, 1, 2, 2, 3, 4, 1, 3, 1, 4, 3, 1, 3, 4, 0, 1, 3, 1, 4, 1, 4, 1, 2, 1, 4, 2, 1, 0, 4, 0, 2, 3, 3, 4, 0, 0, 2, 0, 4, 3, 3, 0, 0, 3, 1, 1, 0, 1, 1, 2, 3, 0, 1, 3, 2, 4, 1, 2, 2, 0, 4, 3, 1, 4, 3, 1, 1, 3, 0, 2, 0, 0, 3, 3, 0, 2, 1, 2, 2, 3, 4, 2, 3, 3, 4, 0, 0, 4, 1, 0, 1, 0, 4, 3, 2, 2, 4, 2, 1, 0, 2, 0, 0, 0, 2, 0, 3, 1, 3, 4, 0, 3, 3, 3, 4, 1, 0, 4, 2, 1, 2, 1, 0, 4, 2, 0, 1, 3, 4, 0, 1, 1, 4, 1, 1, 4, 1, 4, 4, 2, 0, 0, 0, 4, 1, 2, 3, 3, 0, 4, 3, 4, 4, 1, 2, 3, 3, 3, 4, 4, 2, 2, 3, 3, 3, 4, 0, 2, 1, 2, 1, 0, 3, 1, 3, 4, 1, 2, 0, 4, 3, 0, 3, 3, 2, 3, 0, 4, 1, 3, 4, 4, 3, 3, 2, 0, 4, 0, 2, 3, 1, 0, 2, 1, 2, 2, 0, 3, 1, 2, 0, 3, 2, 3, 1, 2, 4, 4, 2, 2, 2, 1, 2, 4, 2, 1, 2, 4, 0, 4, 2, 3, 0, 2, 1, 0, 2, 0, 0, 1, 0, 3, 2, 3, 2, 3, 3, 1, 1, 0, 3, 1, 1, 2, 4, 2, 4, 2, 3, 4, 4, 1, 2, 1, 2, 3, 2, 4, 4, 0, 2, 0, 4, 2, 4, 0, 2, 3, 4, 1, 3, 2, 0, 1, 3, 1, 3, 4, 4, 0, 3, 0, 0, 0, 3, 1, 4, 3, 4, 1, 4, 2, 3, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 1, 0, 3, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 4, 1, 4, 2, 4, 3, 3, 3, 2, 0, 2, 3, 0, 2, 2, 0, 2, 4, 2, 1, 1, 1, 4, 2, 1, 4, 3, 2, 2, 0, 1, 1, 0, 4, 4, 3, 0, 3, 4, 2, 0, 0] pubkeycol601 = [2, 4, 0, 4, 2, 4, 4, 1, 3, 4, 1, 0, 1, 1, 0, 3, 4, 4, 1, 1, 2, 2, 3, 4, 3, 1, 3, 3, 1, 1, 0, 3, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 1, 4, 0, 1, 2, 4, 4, 0, 3, 0, 2, 4, 2, 4, 4, 4, 1, 3, 2, 0, 1, 2, 4, 4, 0, 4, 1, 1, 2, 4, 1, 4, 3, 3, 2, 1, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 1, 0, 2, 3, 3, 4, 3, 3, 1, 3, 0, 1, 0, 4, 1, 2, 4, 0, 0, 4, 4, 3, 0, 3, 2, 2, 2, 1, 3, 0, 3, 2, 3, 0, 0, 0, 1, 4, 4, 4, 0, 0, 3, 1, 2, 1, 4, 4, 2, 2, 2, 4, 2, 0, 1, 2, 4, 4, 4, 0, 0, 3, 0, 1, 2, 2, 1, 4, 0, 0, 3, 2, 0, 2, 1, 1, 4, 2, 3, 2, 0, 1, 4, 0, 2, 0, 3, 2, 4, 4, 3, 2, 4, 1, 2, 1, 1, 0, 4, 0, 0, 4, 0, 4, 1, 4, 1, 2, 3, 0, 1, 2, 3, 3, 1, 0, 1, 2, 0, 3, 1, 1, 3, 4, 3, 3, 4, 0, 3, 4, 0, 4, 4, 3, 3, 4, 3, 0, 0, 4, 3, 4, 4, 0, 0, 3, 0, 0, 0, 3, 1, 4, 2, 1, 0, 4, 0, 0, 2, 1, 0, 1, 3, 2, 0, 4, 4, 2, 0, 0, 2, 0, 3, 3, 2, 2, 4, 2, 3, 3, 4, 3, 4, 2, 0, 3, 1, 0, 3, 3, 4, 2, 0, 0, 1, 2, 4, 2, 3, 2, 3, 3, 4, 3, 0, 2, 0, 3, 1, 2, 0, 1, 1, 0, 0, 1, 3, 1, 1, 4, 0, 1, 4, 1, 0, 3, 1, 3, 0, 4, 2, 0, 1, 1, 3, 1, 0, 1, 1, 4, 0, 4, 1, 0, 1, 2, 3, 3, 1, 0, 2, 2, 3, 3, 1, 4, 1, 4, 2, 2, 1, 4, 0, 4, 2, 0, 2, 2, 0, 4, 2, 2, 0, 4, 2, 0, 2, 2, 4, 4, 3, 2, 1, 4, 4, 4, 2, 3, 2, 0, 1, 4, 3, 0, 1, 2, 4, 4, 0, 4, 3, 4, 4, 3, 2, 1, 0, 3, 3, 0, 0] pubkeycol602 = [3, 3, 4, 2, 1, 1, 3, 3, 0, 3, 2, 2, 3, 3, 1, 4, 1, 2, 0, 0, 1, 0, 4, 1, 0, 2, 1, 0, 2, 0, 3, 1, 0, 0, 3, 3, 1, 3, 4, 4, 2, 4, 1, 1, 3, 0, 4, 1, 0, 0, 3, 1, 4, 4, 2, 4, 3, 3, 3, 1, 0, 2, 4, 0, 1, 3, 2, 1, 3, 2, 1, 2, 0, 3, 3, 2, 0, 0, 1, 1, 1, 3, 1, 1, 3, 4, 3, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 3, 0, 0, 0, 1, 2, 1, 2, 0, 2, 4, 2, 0, 3, 3, 1, 2, 1, 1, 1, 0, 0, 4, 0, 2, 1, 2, 4, 3, 2, 1, 3, 4, 2, 1, 4, 2, 4, 1, 0, 2, 0, 3, 0, 3, 2, 4, 3, 0, 2, 1, 4, 4, 4, 4, 2, 1, 1, 3, 2, 1, 4, 4, 2, 4, 2, 1, 2, 1, 4, 4, 2, 3, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 4, 2, 3, 4, 4, 3, 4, 1, 3, 0, 2, 4, 0, 0, 2, 1, 3, 0, 0, 2, 2, 4, 0, 3, 0, 4, 2, 1, 4, 0, 1, 0, 2, 2, 3, 1, 2, 1, 3, 3, 1, 4, 1, 0, 4, 3, 0, 4, 3, 2, 0, 1, 3, 3, 1, 2, 1, 3, 3, 3, 3, 4, 1, 2, 1, 1, 3, 2, 3, 3, 0, 2, 0, 3, 0, 2, 4, 0, 3, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 3, 4, 3, 4, 2, 0, 2, 4, 0, 3, 0, 3, 4, 4, 2, 2, 0, 2, 1, 2, 4, 4, 1, 1, 1, 3, 1, 4, 0, 1, 4, 2, 0, 4, 4, 4, 1, 4, 4, 1, 0, 3, 3, 4, 4, 2, 0, 3, 2, 2, 2, 2, 4, 2, 1, 1, 1, 1, 0, 4, 3, 2, 1, 1, 3, 4, 2, 3, 4, 1, 3, 0, 0, 1, 1, 3, 1, 4, 3, 1, 3, 1, 1, 0, 3, 4, 1, 3, 1, 3, 2, 4, 0, 0, 2, 2, 4, 3, 2, 1, 4, 3, 4, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 4, 3, 0, 0, 2, 1, 4, 4, 4, 2, 2, 4, 2, 3] pubkeycol603 = [1, 0, 0, 0, 3, 3, 4, 2, 4, 3, 1, 3, 0, 0, 1, 4, 4, 3, 0, 1, 3, 3, 2, 0, 1, 1, 1, 0, 1, 3, 3, 0, 1, 0, 2, 2, 3, 1, 4, 4, 0, 4, 4, 4, 3, 3, 1, 2, 1, 4, 2, 3, 3, 4, 2, 0, 0, 4, 3, 0, 2, 3, 4, 2, 1, 1, 1, 3, 0, 2, 3, 4, 2, 2, 0, 0, 4, 2, 1, 2, 2, 1, 3, 2, 3, 4, 3, 3, 3, 4, 1, 1, 0, 2, 1, 3, 2, 4, 3, 1, 1, 4, 0, 1, 4, 1, 2, 3, 0, 3, 0, 4, 4, 0, 4, 4, 2, 0, 3, 2, 3, 0, 3, 4, 0, 2, 4, 2, 3, 2, 1, 2, 1, 1, 2, 1, 2, 4, 2, 0, 4, 3, 1, 1, 2, 4, 3, 0, 1, 1, 3, 2, 3, 1, 4, 0, 0, 1, 1, 4, 1, 3, 4, 0, 0, 0, 2, 4, 1, 2, 1, 0, 3, 0, 4, 1, 3, 1, 2, 3, 0, 1, 1, 4, 4, 1, 2, 2, 3, 0, 1, 2, 4, 0, 4, 2, 3, 3, 3, 1, 2, 0, 4, 2, 3, 2, 3, 0, 0, 4, 1, 4, 2, 0, 2, 1, 1, 0, 1, 3, 2, 1, 1, 0, 0, 2, 4, 4, 3, 4, 4, 1, 3, 0, 4, 1, 1, 2, 0, 4, 4, 2, 4, 0, 1, 2, 3, 2, 2, 2, 2, 3, 0, 0, 3, 4, 1, 4, 3, 2, 0, 2, 0, 2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 4, 0, 4, 1, 3, 2, 3, 0, 2, 2, 0, 1, 1, 0, 2, 2, 4, 3, 3, 4, 0, 0, 3, 1, 2, 1, 3, 2, 2, 3, 4, 1, 3, 3, 2, 0, 4, 0, 1, 1, 0, 3, 0, 2, 1, 2, 0, 4, 2, 1, 3, 1, 3, 0, 3, 1, 0, 1, 3, 2, 3, 0, 3, 3, 4, 3, 3, 0, 2, 2, 3, 3, 4, 3, 2, 1, 0, 2, 1, 2, 2, 4, 2, 2, 4, 4, 2, 0, 1, 2, 3, 1, 4, 0, 1, 4, 1, 3, 4, 3, 3, 4, 2, 1, 4, 3, 0, 0, 2, 0, 2, 3, 4, 2, 3, 0, 3, 2, 1, 2, 4, 4] pubkeycol604 = [4, 1, 1, 3, 3, 4, 4, 2, 2, 3, 4, 4, 4, 2, 0, 0, 3, 3, 2, 4, 4, 0, 0, 1, 1, 0, 1, 1, 1, 3, 0, 4, 0, 1, 0, 1, 3, 2, 0, 4, 0, 4, 1, 3, 3, 3, 4, 4, 2, 1, 0, 4, 2, 4, 0, 0, 1, 1, 0, 0, 4, 0, 2, 1, 2, 1, 4, 0, 1, 2, 4, 1, 0, 2, 3, 2, 2, 0, 4, 4, 3, 3, 3, 0, 1, 3, 0, 2, 2, 0, 2, 1, 2, 2, 0, 3, 2, 0, 4, 2, 0, 1, 3, 3, 0, 1, 0, 0, 1, 3, 1, 1, 4, 3, 2, 3, 2, 4, 2, 1, 4, 4, 0, 2, 3, 2, 4, 3, 3, 1, 1, 0, 2, 2, 0, 0, 0, 4, 2, 4, 3, 2, 4, 0, 3, 1, 2, 1, 0, 4, 1, 4, 1, 1, 3, 4, 1, 1, 2, 0, 4, 1, 3, 3, 3, 1, 3, 3, 0, 2, 2, 1, 2, 3, 1, 0, 3, 2, 3, 3, 2, 0, 0, 3, 2, 4, 4, 0, 1, 3, 0, 2, 3, 2, 0, 3, 2, 3, 3, 4, 1, 2, 1, 3, 2, 2, 0, 4, 2, 0, 4, 1, 0, 1, 1, 2, 0, 2, 3, 3, 2, 2, 1, 3, 0, 4, 4, 0, 4, 0, 3, 1, 4, 3, 3, 2, 2, 0, 3, 4, 0, 4, 2, 3, 3, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 4, 2, 3, 1, 1, 3, 3, 4, 4, 3, 3, 0, 1, 0, 1, 1, 4, 2, 0, 3, 0, 4, 4, 2, 4, 2, 1, 4, 2, 0, 3, 0, 4, 4, 1, 0, 1, 3, 4, 4, 3, 1, 1, 3, 0, 0, 4, 2, 0, 1, 3, 0, 3, 2, 2, 4, 3, 3, 3, 1, 1, 1, 4, 0, 2, 1, 0, 4, 3, 0, 3, 2, 2, 3, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 3, 1, 0, 0, 0, 1, 2, 4, 0, 4, 0, 2, 1, 4, 0, 4, 3, 1, 1, 4, 1, 0, 0, 0, 2, 3, 3, 3, 3, 3, 1, 0, 1, 4, 3, 3, 3, 3, 2, 0, 4, 2, 1, 2, 1, 4, 0, 0, 3, 2, 4, 3, 2, 2, 0] pubkeycol605 = [4, 1, 1, 4, 0, 0, 4, 1, 1, 0, 3, 2, 4, 3, 1, 2, 2, 2, 1, 2, 3, 3, 1, 4, 1, 4, 0, 2, 1, 0, 4, 3, 0, 4, 1, 0, 1, 3, 3, 2, 0, 2, 3, 4, 1, 1, 0, 1, 2, 0, 4, 0, 1, 0, 1, 2, 2, 4, 2, 0, 4, 4, 0, 0, 2, 3, 0, 3, 1, 4, 1, 4, 4, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 4, 1, 0, 1, 3, 0, 1, 3, 2, 2, 3, 1, 4, 2, 4, 0, 4, 0, 3, 3, 1, 0, 2, 2, 3, 4, 2, 4, 4, 4, 1, 4, 0, 4, 2, 4, 4, 3, 4, 4, 1, 4, 3, 2, 4, 0, 2, 2, 1, 3, 4, 3, 4, 3, 4, 3, 3, 0, 3, 4, 4, 0, 4, 3, 4, 3, 3, 0, 3, 1, 1, 4, 0, 3, 3, 0, 1, 2, 0, 2, 2, 2, 2, 3, 0, 0, 3, 1, 1, 4, 3, 0, 3, 1, 1, 1, 3, 0, 0, 3, 3, 4, 0, 3, 2, 4, 4, 0, 3, 2, 3, 4, 4, 2, 1, 3, 3, 4, 0, 3, 2, 4, 0, 1, 4, 0, 1, 2, 0, 3, 4, 2, 2, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 4, 4, 1, 0, 1, 0, 2, 0, 0, 4, 4, 4, 1, 2, 0, 2, 4, 4, 0, 3, 0, 0, 4, 4, 1, 4, 1, 1, 2, 0, 3, 2, 2, 0, 4, 0, 2, 1, 1, 3, 2, 2, 1, 1, 3, 4, 0, 2, 2, 0, 3, 4, 3, 3, 1, 4, 1, 3, 2, 0, 3, 0, 2, 1, 2, 0, 3, 0, 4, 4, 4, 0, 3, 3, 3, 4, 2, 3, 4, 1, 4, 4, 4, 1, 1, 4, 1, 1, 2, 4, 1, 4, 1, 3, 2, 3, 1, 0, 0, 3, 0, 3, 0, 2, 4, 3, 3, 2, 1, 2, 0, 2, 2, 2, 4, 4, 0, 0, 3, 1, 0, 0, 1, 4, 3, 3, 4, 3, 1, 4, 2, 3, 0, 2, 0, 2, 1, 0, 1, 0, 4, 1, 2, 1, 0, 4, 3, 1, 3, 0, 1, 3, 4, 2, 0, 0, 3, 1, 1, 3, 2, 1, 0, 3, 0, 2, 1, 0, 0, 2, 3, 2, 4] pubkeycol606 = [4, 2, 4, 1, 2, 0, 0, 3, 3, 2, 3, 3, 1, 4, 1, 2, 4, 1, 3, 1, 3, 4, 3, 3, 1, 4, 3, 2, 2, 4, 4, 2, 2, 4, 4, 0, 3, 3, 2, 1, 0, 2, 1, 4, 4, 1, 2, 2, 0, 4, 2, 1, 4, 4, 3, 0, 1, 4, 2, 2, 0, 4, 1, 4, 4, 1, 0, 1, 4, 2, 4, 1, 1, 0, 2, 2, 2, 1, 1, 3, 4, 0, 4, 0, 3, 4, 0, 1, 1, 3, 1, 3, 0, 2, 0, 4, 1, 1, 0, 1, 4, 2, 2, 4, 0, 1, 3, 1, 1, 4, 3, 0, 0, 1, 2, 0, 0, 2, 3, 1, 2, 3, 4, 2, 2, 0, 1, 1, 0, 1, 4, 2, 0, 4, 3, 1, 4, 1, 4, 3, 2, 2, 0, 0, 2, 2, 2, 4, 3, 2, 4, 3, 0, 4, 0, 3, 1, 1, 0, 3, 3, 1, 2, 0, 0, 3, 4, 4, 3, 4, 1, 0, 1, 1, 0, 4, 2, 2, 0, 0, 3, 4, 0, 2, 3, 1, 3, 2, 0, 3, 2, 4, 3, 1, 4, 3, 2, 4, 3, 2, 3, 3, 0, 0, 2, 0, 3, 4, 3, 3, 2, 4, 2, 4, 0, 0, 2, 0, 2, 3, 4, 2, 4, 0, 2, 3, 1, 4, 3, 1, 0, 4, 1, 3, 1, 4, 3, 4, 0, 2, 3, 4, 0, 2, 2, 3, 0, 0, 1, 2, 0, 4, 3, 2, 3, 4, 2, 1, 1, 0, 1, 2, 4, 4, 3, 1, 4, 4, 3, 0, 0, 0, 0, 2, 0, 4, 1, 4, 1, 2, 1, 4, 4, 2, 4, 2, 2, 3, 3, 0, 0, 2, 0, 3, 1, 2, 0, 0, 3, 1, 1, 2, 1, 4, 0, 3, 4, 1, 0, 3, 1, 3, 2, 1, 4, 2, 3, 2, 0, 2, 3, 4, 2, 1, 2, 1, 3, 4, 0, 4, 3, 4, 0, 0, 0, 2, 4, 2, 3, 3, 4, 0, 2, 4, 3, 3, 2, 1, 3, 0, 4, 1, 2, 4, 4, 4, 3, 4, 1, 3, 2, 4, 4, 1, 1, 1, 1, 1, 4, 3, 0, 4, 1, 3, 1, 0, 2, 4, 2, 0, 3, 0, 0, 4, 2, 0, 3, 1, 1, 3, 2, 3, 0, 2, 4, 3, 1, 4, 4, 1] pubkeycol607 = [4, 3, 4, 2, 0, 1, 3, 2, 4, 2, 3, 2, 2, 4, 0, 3, 2, 2, 0, 0, 4, 4, 4, 4, 0, 1, 4, 2, 0, 3, 4, 0, 1, 1, 0, 0, 1, 4, 0, 0, 3, 4, 3, 1, 3, 1, 2, 3, 2, 1, 3, 3, 1, 4, 3, 1, 2, 3, 3, 2, 4, 3, 3, 1, 3, 3, 1, 4, 2, 0, 0, 4, 2, 1, 0, 3, 3, 1, 1, 0, 1, 0, 3, 0, 0, 2, 1, 4, 3, 3, 0, 4, 4, 4, 3, 1, 0, 1, 2, 0, 0, 1, 0, 4, 4, 2, 1, 2, 2, 1, 1, 2, 2, 3, 0, 2, 1, 1, 0, 1, 3, 0, 1, 1, 0, 2, 4, 4, 0, 2, 0, 2, 0, 3, 0, 3, 3, 1, 4, 2, 0, 1, 4, 0, 3, 4, 2, 1, 1, 0, 4, 1, 3, 1, 1, 0, 2, 4, 0, 3, 3, 2, 0, 2, 3, 0, 4, 1, 4, 1, 4, 2, 3, 2, 0, 3, 4, 2, 2, 3, 4, 0, 0, 4, 4, 0, 3, 1, 2, 4, 1, 3, 2, 1, 2, 2, 1, 1, 3, 2, 2, 3, 3, 0, 4, 0, 1, 1, 2, 0, 1, 4, 4, 4, 4, 1, 2, 0, 2, 1, 0, 3, 1, 4, 3, 4, 0, 1, 1, 4, 2, 4, 0, 0, 4, 3, 3, 0, 1, 3, 0, 4, 1, 4, 4, 2, 2, 3, 0, 1, 2, 4, 1, 1, 3, 2, 0, 4, 4, 2, 0, 4, 2, 4, 4, 0, 0, 0, 3, 3, 1, 4, 1, 1, 1, 3, 4, 4, 2, 3, 4, 4, 0, 1, 4, 0, 4, 1, 3, 0, 4, 0, 4, 2, 1, 1, 4, 2, 1, 3, 2, 1, 4, 1, 3, 2, 3, 4, 3, 3, 0, 2, 0, 0, 2, 4, 3, 3, 1, 0, 1, 3, 0, 2, 3, 3, 2, 2, 2, 1, 4, 1, 1, 2, 0, 2, 0, 1, 4, 2, 1, 4, 1, 4, 0, 3, 3, 4, 0, 2, 0, 1, 0, 2, 0, 1, 3, 4, 1, 1, 2, 4, 1, 1, 1, 4, 1, 3, 1, 2, 1, 4, 4, 4, 3, 4, 3, 2, 1, 4, 2, 0, 1, 0, 3, 4, 4, 1, 0, 0, 2, 2, 2, 0, 2, 4, 1, 3, 1, 0] pubkeycol608 = [4, 3, 0, 1, 4, 0, 0, 1, 2, 1, 3, 4, 3, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 2, 1, 4, 3, 0, 2, 0, 1, 1, 4, 2, 1, 4, 0, 0, 3, 4, 4, 3, 0, 4, 1, 4, 1, 1, 4, 1, 4, 2, 3, 3, 1, 3, 1, 0, 3, 2, 2, 3, 2, 3, 1, 3, 0, 3, 0, 0, 1, 3, 1, 3, 4, 1, 1, 0, 3, 2, 0, 4, 3, 2, 1, 1, 1, 4, 2, 3, 3, 3, 2, 1, 0, 4, 2, 1, 3, 0, 3, 1, 2, 3, 1, 0, 1, 0, 0, 2, 3, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 4, 3, 2, 3, 2, 1, 3, 0, 3, 2, 4, 0, 1, 3, 1, 1, 1, 2, 1, 2, 4, 0, 2, 2, 2, 1, 2, 4, 4, 2, 4, 2, 4, 4, 0, 0, 3, 2, 1, 0, 4, 2, 2, 2, 0, 2, 2, 0, 1, 1, 4, 2, 0, 0, 1, 0, 4, 1, 0, 0, 1, 4, 0, 3, 0, 4, 4, 0, 0, 0, 1, 3, 0, 3, 3, 0, 0, 2, 1, 3, 0, 1, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 2, 3, 1, 1, 0, 0, 2, 4, 4, 2, 4, 1, 3, 2, 1, 1, 2, 2, 4, 2, 2, 1, 3, 4, 2, 1, 0, 4, 0, 3, 2, 0, 2, 4, 4, 4, 2, 4, 4, 3, 0, 1, 3, 4, 2, 0, 3, 2, 0, 3, 1, 3, 3, 3, 0, 1, 1, 0, 1, 0, 0, 3, 1, 3, 1, 4, 1, 1, 4, 0, 4, 4, 3, 4, 0, 1, 1, 1, 4, 4, 0, 2, 4, 4, 4, 1, 2, 3, 2, 2, 1, 1, 2, 2, 3, 0, 2, 3, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 4, 0, 3, 4, 3, 1, 0, 3, 2, 1, 0, 0, 2, 3, 0, 1, 3, 3, 1, 3, 3, 2, 1, 3, 3, 3, 0, 0, 3, 4, 4, 2, 3, 1, 0, 2, 0, 1, 2, 0, 3, 4, 1, 3, 4, 3, 3, 0, 0, 3, 0, 1, 2, 1, 3, 0, 0, 4, 1, 1, 1, 4, 2, 4, 4, 4, 4, 1, 3, 2, 3, 4, 0, 2, 3] pubkeycol609 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 3, 0, 4, 1, 4, 0, 3, 1, 1, 2, 4, 1, 2, 4, 3, 2, 1, 0, 2, 0, 0, 3, 3, 0, 3, 1, 3, 0, 1, 4, 1, 3, 2, 0, 1, 2, 3, 3, 1, 0, 2, 4, 4, 1, 3, 3, 3, 3, 3, 0, 0, 0, 3, 4, 4, 3, 2, 2, 2, 2, 3, 2, 1, 0, 2, 1, 3, 3, 2, 3, 2, 2, 0, 2, 3, 2, 0, 0, 0, 4, 4, 2, 4, 0, 1, 0, 2, 0, 1, 1, 1, 1, 4, 4, 2, 0, 4, 0, 0, 2, 3, 1, 1, 3, 0, 4, 1, 4, 2, 2, 1, 3, 0, 4, 3, 0, 3, 2, 1, 1, 0, 3, 2, 3, 3, 0, 1, 4, 1, 1, 3, 4, 3, 0, 0, 4, 1, 4, 2, 3, 2, 1, 0, 3, 1, 4, 1, 4, 3, 3, 1, 4, 2, 0, 0, 4, 0, 0, 0, 1, 2, 3, 4, 1, 0, 3, 4, 3, 4, 1, 4, 3, 1, 1, 2, 1, 0, 4, 2, 3, 2, 4, 3, 4, 0, 1, 3, 4, 3, 1, 3, 1, 2, 2, 4, 1, 2, 3, 2, 0, 4, 2, 4, 1, 2, 1, 2, 4, 1, 2, 1, 2, 0, 0, 0, 0, 3, 2, 4, 4, 1, 2, 4, 2, 1, 2, 0, 3, 3, 1, 3, 3, 1, 4, 0, 2, 4, 3, 1, 4, 0, 1, 1, 2, 0, 4, 2, 2, 4, 3, 0, 4, 3, 1, 2, 2, 2, 3, 0, 3, 3, 1, 0, 1, 4, 1, 1, 4, 0, 0, 4, 3, 4, 2, 0, 3, 4, 2, 3, 2, 0, 4, 0, 0, 1, 0, 1, 1, 3, 1, 0, 0, 1, 1, 4, 4, 2, 4, 1, 3, 3, 1, 4, 4, 3, 3, 4, 4, 3, 0, 3, 4, 1, 2, 0, 1, 3, 1, 4, 3, 1, 0, 3, 1, 4, 1, 3, 4, 4, 2, 2, 3, 0, 0, 0, 1, 3, 3, 2, 4, 2, 2, 4, 4, 4, 2, 4, 0, 0, 0, 2, 1, 3, 4, 3, 3, 1, 1, 1, 4, 4, 4, 3, 3, 4, 4, 1, 3, 0, 3, 2, 1, 2, 3, 0, 3, 1, 4, 1, 2, 2, 4, 0, 1, 0, 2, 1, 3, 2] pubkeycol610 = [3, 2, 4, 2, 2, 3, 3, 4, 3, 3, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 4, 2, 2, 1, 2, 3, 4, 2, 2, 1, 0, 2, 4, 4, 4, 4, 0, 2, 4, 2, 3, 4, 4, 1, 4, 2, 0, 4, 1, 1, 4, 2, 2, 2, 3, 4, 4, 1, 0, 4, 2, 3, 4, 0, 3, 3, 2, 0, 0, 2, 2, 1, 0, 4, 4, 1, 0, 2, 3, 0, 4, 4, 0, 3, 0, 1, 0, 2, 1, 2, 2, 2, 0, 4, 0, 4, 2, 1, 1, 3, 3, 1, 1, 1, 1, 3, 2, 1, 3, 0, 4, 1, 1, 0, 3, 4, 1, 2, 2, 3, 0, 2, 4, 3, 1, 3, 4, 4, 2, 2, 4, 1, 1, 2, 4, 4, 4, 0, 4, 3, 0, 3, 4, 2, 1, 1, 0, 1, 4, 3, 0, 0, 2, 2, 0, 4, 4, 3, 1, 4, 3, 3, 1, 3, 0, 1, 2, 1, 3, 3, 0, 0, 4, 0, 0, 3, 1, 2, 2, 2, 3, 0, 0, 4, 3, 0, 0, 3, 0, 3, 2, 3, 3, 4, 3, 4, 0, 0, 2, 4, 2, 0, 4, 3, 4, 4, 0, 1, 2, 2, 0, 3, 4, 0, 0, 2, 3, 2, 1, 4, 2, 3, 3, 0, 0, 2, 4, 1, 4, 2, 1, 3, 4, 4, 0, 2, 0, 2, 1, 0, 4, 0, 0, 3, 2, 3, 4, 1, 4, 1, 4, 3, 3, 2, 2, 3, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 4, 2, 1, 3, 4, 1, 1, 2, 2, 1, 3, 1, 0, 2, 0, 2, 2, 3, 3, 2, 2, 1, 2, 4, 1, 0, 2, 3, 4, 2, 4, 0, 2, 0, 1, 4, 2, 2, 1, 3, 4, 2, 1, 2, 4, 4, 2, 3, 3, 4, 2, 1, 2, 3, 1, 0, 2, 3, 0, 2, 4, 2, 0, 4, 1, 1, 0, 1, 3, 0, 3, 0, 2, 3, 4, 3, 3, 4, 2, 0, 1, 3, 3, 4, 2, 2, 0, 0, 2, 3, 3, 4, 3, 4, 3, 2, 0, 3, 0, 2, 1, 1, 0, 4, 2, 0, 0, 3, 4, 2, 3, 3, 0, 3, 3, 4, 4, 0, 4, 2, 4, 4, 1, 3, 3, 0, 2, 3, 0, 0] pubkeycol611 = [2, 2, 1, 2, 1, 1, 4, 3, 3, 2, 3, 1, 4, 1, 3, 2, 2, 3, 3, 0, 3, 2, 0, 1, 3, 3, 2, 1, 0, 3, 1, 2, 4, 4, 3, 0, 4, 0, 0, 1, 3, 4, 0, 3, 2, 4, 0, 3, 2, 2, 0, 2, 0, 3, 0, 2, 2, 4, 0, 0, 0, 3, 3, 0, 2, 4, 4, 3, 1, 3, 1, 3, 1, 3, 4, 3, 1, 3, 1, 0, 4, 2, 0, 0, 3, 2, 1, 1, 4, 1, 2, 3, 3, 3, 4, 4, 3, 4, 3, 0, 2, 0, 1, 0, 3, 3, 1, 2, 1, 1, 1, 3, 2, 2, 1, 4, 0, 2, 3, 1, 1, 1, 2, 2, 2, 2, 4, 2, 3, 0, 2, 3, 1, 0, 2, 2, 2, 0, 1, 4, 0, 3, 2, 0, 3, 4, 0, 2, 4, 3, 2, 0, 4, 1, 4, 3, 0, 2, 0, 4, 4, 3, 2, 3, 4, 0, 3, 4, 2, 0, 1, 0, 3, 1, 2, 3, 3, 0, 3, 0, 3, 1, 4, 2, 1, 1, 4, 4, 3, 2, 0, 2, 2, 1, 3, 1, 1, 4, 3, 4, 1, 1, 2, 2, 3, 1, 4, 1, 1, 2, 0, 1, 1, 3, 1, 4, 3, 4, 0, 3, 2, 1, 3, 0, 0, 1, 3, 3, 3, 2, 4, 4, 2, 2, 0, 4, 1, 1, 4, 1, 0, 3, 3, 4, 0, 2, 0, 4, 2, 4, 4, 1, 1, 0, 4, 4, 3, 2, 3, 2, 1, 1, 1, 0, 2, 1, 3, 2, 4, 0, 4, 2, 1, 3, 4, 4, 1, 1, 3, 4, 1, 4, 4, 3, 3, 1, 0, 0, 3, 0, 2, 4, 3, 4, 1, 3, 2, 0, 3, 2, 3, 4, 1, 3, 2, 3, 3, 1, 2, 3, 0, 2, 0, 2, 0, 1, 0, 1, 1, 3, 2, 3, 3, 2, 0, 2, 3, 0, 4, 1, 4, 4, 1, 1, 3, 3, 2, 3, 2, 1, 2, 2, 1, 3, 1, 0, 1, 3, 3, 0, 1, 3, 1, 2, 1, 2, 1, 1, 0, 1, 3, 0, 1, 2, 4, 1, 1, 4, 0, 1, 3, 1, 0, 0, 1, 2, 2, 1, 3, 4, 2, 1, 1, 3, 2, 0, 1, 3, 4, 2, 0, 1, 2, 1, 0, 3, 4, 2, 3, 2] pubkeycol612 = [4, 3, 1, 1, 1, 2, 2, 3, 4, 4, 1, 0, 1, 1, 2, 1, 2, 4, 3, 3, 1, 4, 3, 3, 3, 2, 2, 4, 0, 1, 4, 1, 2, 4, 4, 1, 0, 0, 2, 3, 3, 3, 1, 2, 2, 4, 4, 4, 3, 0, 0, 1, 4, 4, 4, 2, 4, 0, 2, 2, 0, 1, 1, 2, 0, 3, 2, 3, 4, 0, 0, 1, 2, 0, 4, 1, 2, 4, 0, 1, 2, 3, 3, 3, 0, 0, 2, 4, 4, 0, 1, 1, 1, 3, 2, 4, 4, 2, 4, 3, 0, 1, 2, 4, 1, 0, 2, 3, 2, 2, 2, 4, 4, 0, 3, 1, 4, 2, 0, 1, 2, 0, 4, 0, 3, 0, 1, 3, 1, 4, 3, 2, 3, 2, 1, 3, 0, 3, 4, 1, 1, 3, 4, 2, 0, 3, 1, 0, 4, 0, 3, 3, 2, 4, 3, 4, 2, 0, 0, 4, 2, 0, 3, 0, 0, 2, 0, 2, 4, 2, 0, 3, 2, 4, 2, 4, 2, 1, 1, 0, 0, 2, 1, 1, 3, 4, 2, 2, 0, 2, 0, 0, 2, 4, 4, 2, 0, 1, 3, 2, 0, 2, 1, 0, 4, 1, 1, 3, 4, 4, 0, 2, 2, 0, 3, 0, 1, 0, 3, 0, 2, 3, 0, 3, 1, 0, 2, 4, 0, 0, 3, 4, 4, 0, 2, 0, 1, 0, 1, 3, 3, 0, 1, 0, 0, 3, 2, 4, 0, 2, 2, 2, 2, 3, 1, 4, 1, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 0, 1, 0, 2, 1, 2, 4, 4, 4, 2, 1, 4, 0, 4, 4, 3, 1, 0, 2, 0, 0, 3, 1, 0, 4, 2, 1, 2, 4, 2, 4, 2, 1, 3, 0, 3, 2, 3, 1, 1, 1, 3, 0, 3, 0, 4, 2, 4, 2, 0, 2, 1, 0, 1, 2, 3, 2, 3, 0, 0, 2, 4, 0, 2, 1, 2, 0, 2, 4, 2, 2, 2, 0, 2, 4, 1, 2, 4, 1, 1, 3, 0, 0, 2, 3, 3, 4, 1, 1, 3, 1, 4, 0, 2, 1, 4, 4, 3, 0, 0, 1, 1, 3, 4, 3, 0, 1, 3, 2, 3, 0, 0, 0, 0, 1, 2, 0, 3, 3, 2, 1, 0, 0, 4, 2, 2, 1, 3, 0, 1, 1, 4] pubkeycol613 = [3, 0, 2, 1, 2, 0, 0, 3, 4, 1, 1, 1, 3, 1, 3, 4, 2, 4, 4, 2, 3, 1, 3, 0, 2, 2, 2, 0, 4, 0, 1, 0, 0, 3, 4, 2, 0, 0, 2, 2, 4, 1, 2, 4, 2, 1, 2, 1, 3, 3, 2, 0, 3, 1, 2, 3, 3, 3, 1, 2, 1, 3, 0, 4, 4, 2, 1, 0, 2, 3, 2, 2, 0, 4, 4, 3, 1, 0, 2, 0, 1, 2, 3, 3, 3, 3, 2, 4, 4, 4, 2, 3, 3, 3, 2, 2, 0, 0, 4, 3, 0, 3, 1, 4, 3, 0, 1, 0, 4, 0, 0, 0, 1, 4, 4, 0, 1, 4, 4, 2, 1, 2, 3, 1, 2, 0, 4, 2, 3, 3, 0, 1, 4, 1, 2, 1, 0, 3, 2, 1, 2, 2, 1, 3, 3, 0, 0, 3, 3, 0, 4, 3, 0, 3, 2, 2, 4, 2, 2, 1, 3, 2, 2, 2, 2, 1, 4, 3, 1, 3, 1, 4, 2, 3, 1, 0, 3, 4, 0, 0, 0, 2, 1, 3, 1, 1, 0, 2, 2, 3, 0, 3, 0, 4, 2, 1, 4, 0, 3, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 4, 2, 4, 0, 1, 2, 1, 3, 3, 2, 3, 3, 1, 0, 2, 1, 4, 3, 2, 0, 3, 0, 4, 1, 1, 0, 0, 2, 4, 2, 3, 0, 2, 3, 4, 1, 1, 4, 2, 3, 3, 2, 2, 2, 2, 0, 1, 2, 4, 1, 2, 3, 3, 2, 0, 1, 3, 1, 1, 2, 1, 1, 4, 2, 0, 1, 2, 2, 0, 3, 1, 2, 2, 1, 3, 3, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 4, 1, 4, 4, 0, 4, 1, 4, 2, 1, 1, 1, 1, 0, 1, 1, 4, 4, 2, 0, 0, 3, 4, 1, 1, 4, 1, 1, 3, 3, 4, 2, 1, 3, 3, 3, 4, 2, 1, 3, 4, 4, 3, 3, 3, 3, 1, 0, 4, 4, 3, 0, 4, 0, 1, 3, 3, 3, 4, 2, 2, 4, 3, 0, 3, 3, 1, 3, 0, 1, 1, 4, 0, 1, 2, 0, 4, 4, 2, 0, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 4, 2, 0, 0, 1, 3, 4, 1, 3, 1, 3, 2] pubkeycol614 = [1, 3, 0, 1, 4, 1, 2, 2, 4, 4, 2, 4, 2, 1, 2, 3, 4, 1, 3, 3, 1, 4, 3, 3, 4, 0, 4, 4, 3, 2, 2, 0, 0, 0, 2, 1, 2, 3, 2, 2, 3, 1, 3, 1, 1, 0, 3, 3, 0, 2, 4, 0, 2, 3, 3, 0, 4, 4, 1, 2, 3, 2, 2, 1, 3, 4, 4, 0, 2, 4, 1, 0, 2, 3, 0, 4, 3, 2, 1, 1, 2, 1, 4, 3, 1, 1, 1, 4, 3, 0, 3, 2, 2, 4, 2, 3, 2, 0, 1, 2, 2, 4, 4, 3, 0, 0, 3, 1, 4, 2, 4, 3, 1, 3, 1, 3, 1, 4, 3, 1, 4, 4, 0, 0, 0, 2, 1, 0, 2, 3, 1, 0, 2, 0, 0, 1, 1, 4, 1, 2, 1, 2, 4, 0, 3, 4, 4, 4, 3, 3, 1, 3, 0, 2, 4, 4, 0, 0, 3, 4, 2, 3, 0, 2, 3, 2, 2, 4, 3, 3, 1, 4, 1, 4, 4, 0, 4, 0, 0, 1, 2, 1, 3, 0, 4, 4, 4, 0, 3, 2, 4, 0, 1, 3, 1, 2, 3, 0, 1, 2, 4, 4, 0, 2, 3, 1, 3, 4, 3, 4, 1, 0, 0, 3, 0, 2, 0, 0, 1, 2, 3, 2, 3, 0, 4, 2, 4, 4, 0, 2, 1, 3, 2, 0, 4, 1, 1, 3, 2, 2, 0, 0, 4, 3, 3, 2, 1, 3, 3, 2, 3, 3, 1, 0, 4, 3, 0, 0, 0, 2, 3, 2, 4, 4, 2, 4, 4, 0, 2, 2, 2, 1, 4, 3, 2, 0, 3, 3, 4, 4, 1, 2, 0, 4, 4, 4, 0, 4, 2, 3, 0, 1, 2, 2, 1, 1, 1, 2, 3, 3, 3, 3, 0, 4, 3, 0, 0, 0, 2, 0, 4, 0, 3, 0, 0, 4, 0, 2, 2, 4, 0, 1, 3, 4, 4, 2, 1, 0, 4, 1, 3, 4, 0, 4, 4, 2, 3, 1, 1, 1, 4, 2, 0, 0, 1, 3, 1, 2, 4, 2, 3, 2, 4, 3, 1, 1, 3, 4, 1, 3, 4, 2, 0, 4, 4, 4, 0, 0, 0, 1, 0, 3, 1, 3, 4, 4, 0, 1, 4, 3, 1, 3, 3, 3, 3, 2, 1, 4, 0, 0, 0, 1, 4, 1, 1, 0, 1, 1, 2, 1] pubkeycol615 = [4, 4, 3, 0, 3, 2, 2, 4, 4, 3, 3, 2, 2, 3, 4, 2, 1, 0, 4, 2, 2, 3, 2, 3, 3, 1, 4, 3, 4, 0, 3, 3, 3, 0, 2, 3, 0, 4, 1, 2, 4, 2, 0, 2, 2, 0, 2, 1, 1, 0, 3, 2, 3, 3, 4, 3, 3, 2, 1, 1, 3, 1, 1, 2, 4, 4, 3, 0, 3, 0, 2, 2, 1, 4, 0, 1, 3, 1, 3, 2, 3, 0, 1, 0, 3, 3, 1, 3, 4, 3, 2, 0, 0, 4, 0, 3, 4, 1, 0, 4, 3, 0, 1, 4, 2, 3, 2, 0, 1, 3, 0, 2, 0, 1, 1, 2, 4, 0, 2, 0, 3, 3, 1, 2, 2, 2, 1, 4, 1, 2, 4, 1, 3, 2, 1, 0, 1, 4, 0, 1, 4, 0, 3, 1, 4, 3, 1, 0, 4, 1, 4, 2, 2, 0, 1, 3, 4, 4, 2, 3, 4, 0, 3, 2, 4, 0, 4, 2, 4, 4, 4, 1, 0, 4, 0, 4, 3, 1, 3, 3, 2, 0, 4, 0, 3, 0, 3, 3, 2, 1, 3, 2, 2, 3, 1, 2, 0, 1, 1, 0, 3, 0, 3, 1, 2, 0, 0, 2, 4, 4, 2, 4, 2, 4, 4, 4, 0, 1, 4, 4, 3, 3, 0, 1, 3, 4, 2, 0, 1, 0, 0, 3, 3, 2, 4, 4, 3, 2, 4, 0, 3, 2, 3, 0, 1, 0, 0, 3, 0, 2, 4, 3, 1, 1, 1, 4, 1, 2, 1, 1, 0, 3, 4, 2, 3, 2, 0, 0, 0, 1, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 4, 1, 2, 4, 2, 2, 0, 0, 1, 4, 1, 4, 2, 1, 3, 1, 3, 1, 2, 0, 1, 4, 3, 0, 1, 1, 0, 4, 1, 3, 2, 3, 0, 0, 3, 2, 3, 1, 0, 4, 0, 3, 2, 0, 0, 0, 3, 4, 4, 3, 2, 1, 0, 4, 4, 3, 4, 2, 0, 0, 4, 0, 0, 0, 4, 2, 4, 0, 4, 0, 2, 2, 4, 4, 1, 3, 0, 2, 0, 2, 0, 0, 4, 2, 3, 2, 1, 1, 0, 2, 4, 1, 1, 0, 2, 1, 1, 1, 4, 3, 3, 4, 2, 2, 0, 4, 0, 1, 0, 0, 1, 4, 0, 4, 3, 0, 1, 3, 0] pubkeycol616 = [0, 3, 2, 0, 0, 1, 0, 1, 1, 3, 1, 4, 0, 1, 3, 4, 2, 0, 0, 3, 4, 2, 3, 1, 1, 4, 3, 0, 0, 0, 1, 3, 3, 0, 1, 3, 1, 4, 4, 1, 4, 1, 1, 4, 0, 3, 1, 3, 2, 2, 4, 2, 2, 0, 4, 1, 4, 2, 4, 2, 0, 1, 4, 0, 0, 1, 3, 4, 0, 2, 4, 3, 1, 0, 1, 3, 1, 3, 3, 2, 1, 3, 0, 3, 3, 2, 4, 2, 3, 3, 1, 4, 1, 3, 0, 0, 1, 3, 3, 4, 3, 0, 3, 3, 3, 2, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 3, 0, 0, 1, 1, 1, 2, 1, 2, 0, 3, 0, 2, 4, 0, 1, 4, 3, 4, 4, 4, 0, 0, 2, 2, 1, 3, 3, 0, 2, 3, 3, 2, 0, 3, 0, 0, 3, 0, 2, 0, 1, 2, 3, 1, 1, 4, 0, 0, 0, 0, 2, 0, 4, 3, 0, 4, 4, 4, 2, 2, 3, 2, 1, 2, 2, 2, 1, 4, 4, 4, 1, 3, 3, 2, 0, 3, 1, 1, 1, 3, 2, 1, 0, 2, 2, 2, 0, 3, 2, 3, 3, 4, 3, 3, 0, 4, 1, 1, 3, 0, 4, 3, 1, 1, 2, 4, 4, 3, 0, 4, 4, 0, 3, 2, 3, 3, 1, 4, 3, 4, 3, 3, 0, 1, 1, 4, 1, 3, 1, 0, 4, 3, 4, 4, 1, 0, 3, 2, 2, 1, 2, 1, 0, 3, 1, 0, 4, 3, 0, 3, 3, 4, 1, 3, 3, 1, 0, 4, 4, 0, 4, 2, 1, 3, 0, 1, 4, 1, 1, 3, 4, 0, 1, 2, 1, 0, 0, 3, 0, 0, 4, 3, 4, 0, 3, 4, 4, 1, 2, 1, 4, 3, 2, 1, 1, 3, 1, 1, 0, 4, 2, 1, 0, 2, 1, 2, 1, 2, 1, 4, 1, 2, 2, 1, 0, 2, 3, 3, 2, 3, 3, 2, 3, 4, 1, 3, 3, 2, 3, 1, 1, 1, 4, 1, 0, 0, 0, 2, 2, 3, 0, 0, 2, 1, 0, 4, 2, 4, 2, 2, 0, 1, 0, 1, 3, 2, 0, 1, 4, 4, 0, 0, 2, 0, 2, 1] pubkeycol617 = [0, 3, 4, 4, 0, 3, 3, 2, 0, 4, 4, 1, 0, 4, 1, 4, 2, 3, 1, 1, 3, 4, 1, 4, 4, 2, 1, 0, 4, 2, 4, 2, 3, 4, 4, 3, 2, 2, 1, 4, 2, 4, 1, 0, 3, 3, 3, 0, 4, 2, 3, 0, 3, 3, 1, 3, 2, 0, 4, 3, 4, 0, 2, 3, 4, 1, 1, 2, 0, 3, 0, 4, 0, 3, 1, 4, 0, 1, 1, 3, 0, 3, 3, 4, 0, 0, 0, 0, 1, 4, 2, 1, 2, 1, 2, 4, 1, 1, 3, 0, 0, 3, 0, 0, 2, 0, 2, 1, 3, 3, 3, 1, 3, 1, 4, 4, 2, 1, 2, 4, 4, 3, 1, 1, 1, 0, 3, 4, 0, 3, 0, 1, 0, 2, 1, 1, 1, 1, 4, 1, 4, 1, 4, 1, 0, 0, 2, 4, 3, 4, 2, 3, 1, 4, 0, 3, 4, 1, 2, 1, 3, 3, 0, 3, 2, 3, 0, 0, 0, 3, 1, 1, 3, 1, 0, 2, 3, 3, 1, 0, 0, 1, 1, 0, 3, 1, 1, 0, 4, 0, 3, 2, 3, 4, 3, 4, 0, 3, 3, 1, 1, 0, 2, 4, 4, 4, 2, 4, 1, 3, 2, 1, 2, 1, 2, 1, 0, 1, 2, 4, 2, 0, 4, 4, 1, 4, 0, 4, 4, 2, 3, 0, 1, 3, 0, 3, 4, 3, 4, 3, 1, 4, 0, 1, 2, 1, 0, 0, 3, 1, 1, 3, 4, 2, 4, 4, 2, 3, 0, 0, 2, 1, 3, 1, 4, 2, 3, 2, 1, 2, 1, 2, 4, 1, 4, 2, 0, 3, 2, 2, 3, 3, 1, 3, 4, 4, 4, 0, 2, 3, 1, 1, 0, 2, 2, 3, 3, 3, 4, 0, 4, 2, 1, 3, 0, 4, 4, 2, 3, 1, 4, 4, 4, 1, 2, 1, 3, 4, 3, 2, 3, 0, 2, 1, 2, 4, 2, 2, 0, 1, 2, 1, 2, 0, 2, 4, 2, 3, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 4, 3, 3, 3, 0, 3, 3, 2, 0, 4, 1, 4, 3, 2, 1, 2, 4, 1, 0, 4, 3, 3, 0, 3, 4, 4, 4, 2, 1, 3, 2, 3, 0, 2, 2, 1, 1, 0, 4, 0, 3, 0, 0, 0, 2, 4, 1, 2, 2, 0, 0, 1] pubkeycol618 = [1, 3, 3, 3, 3, 0, 4, 1, 3, 0, 4, 1, 0, 2, 3, 1, 3, 0, 0, 1, 2, 0, 4, 2, 0, 1, 2, 3, 3, 0, 1, 3, 3, 1, 0, 2, 3, 2, 3, 4, 2, 3, 1, 3, 0, 0, 3, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 4, 2, 0, 1, 3, 2, 2, 3, 4, 4, 1, 1, 0, 3, 3, 3, 4, 1, 3, 0, 1, 3, 0, 0, 0, 3, 4, 3, 1, 4, 1, 4, 2, 0, 3, 4, 4, 3, 3, 2, 0, 1, 0, 1, 4, 1, 3, 2, 3, 0, 4, 4, 4, 1, 1, 0, 2, 0, 0, 0, 4, 4, 4, 1, 3, 4, 4, 0, 0, 3, 1, 3, 4, 4, 4, 2, 4, 0, 4, 2, 3, 0, 2, 3, 0, 1, 0, 4, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 3, 0, 4, 3, 0, 2, 2, 3, 4, 0, 1, 0, 1, 0, 3, 4, 3, 4, 4, 0, 2, 0, 4, 3, 0, 1, 2, 3, 3, 3, 1, 4, 3, 4, 4, 3, 0, 1, 3, 4, 2, 4, 1, 4, 0, 4, 4, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 3, 0, 0, 1, 1, 0, 0, 2, 2, 3, 1, 4, 2, 1, 3, 4, 3, 3, 0, 3, 1, 1, 0, 1, 2, 1, 1, 4, 4, 3, 4, 4, 0, 3, 4, 1, 2, 2, 2, 3, 2, 4, 2, 4, 0, 1, 4, 2, 2, 4, 1, 0, 4, 2, 3, 1, 3, 3, 4, 4, 2, 1, 4, 3, 4, 4, 4, 4, 0, 4, 1, 2, 0, 1, 1, 1, 1, 0, 3, 2, 3, 4, 4, 2, 0, 4, 3, 3, 2, 4, 3, 2, 0, 2, 4, 4, 3, 3, 3, 3, 1, 0, 2, 3, 2, 3, 1, 2, 0, 1, 3, 1, 3, 0, 0, 0, 2, 4, 2, 3, 2, 3, 3, 1, 4, 4, 1, 2, 2, 2, 0, 2, 4, 4, 3, 3, 4, 4, 0, 1, 0, 4, 2, 0, 3, 2, 1, 0, 1, 4, 2, 0, 1, 3, 0, 4, 0, 3, 0, 1, 3, 3, 2, 1, 2, 2, 0, 3, 0, 2, 4, 0, 4, 4, 4, 1, 1, 0, 0, 3, 2, 0, 0, 0, 2] pubkeycol619 = [3, 3, 2, 1, 2, 2, 0, 1, 4, 4, 2, 2, 0, 2, 4, 4, 3, 2, 1, 0, 3, 0, 3, 3, 1, 4, 3, 3, 2, 4, 1, 0, 3, 0, 1, 1, 3, 0, 4, 0, 1, 3, 3, 3, 4, 3, 0, 4, 4, 1, 4, 2, 4, 3, 1, 0, 1, 1, 4, 4, 1, 1, 2, 3, 2, 2, 4, 3, 0, 0, 4, 4, 3, 2, 2, 0, 2, 1, 0, 1, 2, 1, 3, 1, 2, 2, 1, 1, 2, 2, 3, 3, 1, 1, 4, 1, 0, 3, 0, 0, 4, 3, 3, 1, 4, 1, 4, 3, 4, 2, 0, 3, 4, 3, 0, 1, 2, 4, 2, 0, 1, 3, 4, 0, 1, 2, 3, 4, 1, 0, 1, 3, 0, 3, 3, 3, 0, 2, 3, 0, 4, 4, 2, 0, 4, 4, 4, 3, 0, 4, 3, 0, 3, 0, 4, 3, 1, 2, 1, 4, 3, 0, 3, 2, 4, 1, 2, 4, 3, 1, 1, 4, 2, 1, 0, 2, 1, 1, 0, 1, 3, 0, 0, 1, 3, 4, 3, 3, 2, 3, 2, 3, 1, 0, 1, 3, 1, 1, 4, 3, 4, 1, 1, 0, 2, 3, 2, 1, 1, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 1, 0, 0, 3, 4, 2, 3, 4, 2, 1, 1, 4, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 2, 1, 3, 1, 4, 1, 0, 3, 3, 3, 0, 0, 4, 3, 3, 4, 2, 0, 0, 0, 1, 0, 3, 0, 0, 1, 3, 4, 2, 2, 2, 1, 4, 4, 4, 4, 1, 4, 0, 4, 4, 2, 0, 4, 4, 1, 4, 0, 4, 3, 2, 2, 3, 0, 4, 4, 4, 3, 4, 2, 4, 0, 4, 3, 0, 3, 2, 0, 0, 3, 4, 2, 3, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 3, 3, 4, 4, 0, 0, 1, 0, 0, 1, 4, 2, 1, 1, 2, 4, 0, 0, 3, 1, 4, 1, 1, 2, 0, 3, 4, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 4, 4, 2, 2, 4, 3, 0, 3, 3, 2, 4, 3, 4, 3, 1, 2, 0, 2, 4, 2, 1, 0, 3, 3, 2, 2, 1, 2, 2, 3, 2, 0, 1, 1, 1] pubkeycol620 = [1, 1, 4, 0, 4, 0, 3, 1, 4, 0, 2, 2, 3, 4, 3, 3, 1, 4, 2, 4, 3, 3, 1, 1, 0, 1, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 2, 1, 0, 0, 0, 2, 3, 3, 0, 2, 4, 2, 1, 0, 2, 0, 3, 0, 4, 0, 0, 3, 2, 2, 4, 3, 0, 1, 1, 3, 3, 1, 4, 3, 2, 4, 3, 4, 2, 0, 3, 0, 1, 4, 2, 3, 1, 1, 1, 0, 1, 1, 4, 3, 4, 3, 3, 2, 1, 4, 4, 3, 0, 1, 2, 4, 2, 0, 3, 2, 1, 2, 2, 3, 2, 2, 0, 4, 4, 3, 0, 0, 4, 0, 2, 1, 4, 4, 1, 3, 2, 1, 2, 0, 4, 4, 4, 4, 2, 3, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 3, 2, 2, 0, 4, 4, 4, 1, 0, 4, 0, 0, 0, 2, 4, 0, 0, 1, 0, 3, 2, 2, 0, 3, 1, 3, 4, 3, 1, 3, 3, 0, 0, 1, 1, 1, 4, 2, 0, 0, 1, 1, 2, 1, 3, 3, 1, 1, 0, 0, 3, 2, 0, 3, 1, 3, 3, 2, 2, 2, 2, 0, 3, 4, 3, 2, 2, 3, 2, 1, 4, 0, 1, 0, 4, 2, 1, 1, 0, 2, 0, 4, 1, 1, 2, 4, 4, 1, 4, 0, 4, 1, 1, 3, 4, 4, 1, 3, 2, 2, 2, 1, 2, 4, 1, 3, 2, 1, 1, 0, 4, 2, 1, 0, 4, 2, 3, 0, 1, 3, 2, 4, 1, 1, 3, 3, 1, 1, 3, 4, 4, 4, 4, 3, 3, 2, 0, 0, 3, 4, 2, 2, 4, 4, 3, 1, 3, 2, 1, 4, 3, 1, 4, 4, 3, 4, 3, 3, 3, 2, 3, 1, 1, 3, 1, 2, 1, 4, 2, 2, 3, 2, 4, 3, 0, 3, 2, 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 3, 0, 3, 1, 3, 3, 2, 2, 0, 4, 1, 1, 0, 1, 3, 0, 1, 0, 3, 0, 4, 3, 4, 2, 1, 4, 1, 2, 1, 2, 4, 1, 3, 0, 0, 4, 4, 1, 1, 3, 4, 3, 1, 2, 0, 2, 1, 1, 1, 1, 1, 4, 0, 3, 2, 4, 4, 1, 4, 4, 4, 1, 4, 2] pubkeycol621 = [4, 3, 3, 1, 1, 4, 1, 3, 4, 0, 0, 3, 3, 3, 0, 0, 2, 3, 1, 2, 4, 2, 1, 2, 0, 4, 3, 4, 2, 1, 0, 2, 1, 2, 3, 3, 1, 1, 2, 0, 2, 4, 3, 1, 4, 4, 3, 4, 3, 3, 4, 3, 2, 4, 4, 2, 3, 2, 3, 4, 4, 1, 1, 1, 4, 0, 1, 4, 4, 0, 1, 2, 4, 1, 1, 3, 0, 2, 1, 4, 0, 4, 3, 2, 4, 0, 1, 1, 1, 3, 2, 3, 1, 4, 0, 2, 0, 1, 2, 0, 4, 1, 3, 1, 1, 2, 4, 2, 0, 3, 4, 1, 2, 3, 3, 1, 1, 1, 2, 0, 0, 0, 4, 2, 3, 0, 2, 1, 2, 2, 1, 4, 4, 4, 0, 4, 2, 2, 3, 0, 3, 2, 3, 3, 1, 2, 3, 2, 4, 1, 0, 0, 2, 0, 3, 4, 1, 2, 0, 1, 3, 0, 3, 1, 0, 1, 3, 4, 1, 1, 4, 0, 4, 2, 0, 3, 4, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 1, 0, 2, 1, 1, 2, 3, 4, 0, 4, 3, 3, 4, 4, 0, 3, 0, 4, 3, 1, 1, 3, 3, 3, 2, 4, 3, 3, 1, 1, 2, 4, 1, 0, 3, 1, 0, 0, 0, 0, 3, 2, 1, 4, 1, 1, 2, 0, 1, 0, 3, 2, 4, 4, 4, 2, 1, 1, 1, 2, 2, 0, 1, 1, 4, 0, 2, 1, 2, 0, 2, 4, 4, 1, 1, 3, 3, 3, 1, 0, 0, 2, 2, 0, 1, 2, 4, 2, 1, 3, 0, 4, 4, 2, 0, 2, 2, 0, 4, 1, 2, 1, 3, 0, 1, 0, 1, 1, 3, 0, 1, 1, 4, 4, 4, 3, 4, 4, 0, 3, 1, 4, 3, 1, 1, 2, 1, 2, 0, 4, 3, 1, 4, 3, 1, 3, 1, 3, 3, 4, 1, 4, 3, 3, 2, 3, 3, 2, 1, 2, 3, 1, 2, 4, 3, 3, 4, 2, 3, 0, 2, 0, 1, 2, 0, 4, 3, 4, 1, 3, 0, 4, 2, 1, 2, 1, 2, 4, 2, 2, 3, 4, 2, 3, 1, 0, 3, 2, 2, 1, 1, 2, 4, 1, 2, 0, 2, 4, 0, 0, 4, 4, 0, 3, 1, 0, 4, 2, 2] pubkeycol622 = [4, 0, 2, 1, 3, 4, 1, 1, 2, 2, 2, 3, 1, 3, 3, 1, 2, 4, 2, 4, 3, 4, 1, 4, 3, 1, 3, 4, 0, 0, 3, 2, 1, 1, 4, 1, 4, 2, 3, 3, 1, 3, 1, 0, 4, 4, 3, 2, 0, 4, 3, 3, 1, 2, 4, 4, 4, 4, 4, 2, 0, 3, 2, 4, 4, 2, 2, 4, 4, 2, 4, 4, 3, 1, 2, 1, 4, 4, 2, 1, 2, 4, 3, 4, 1, 2, 4, 4, 4, 1, 0, 3, 4, 3, 1, 3, 2, 0, 0, 2, 3, 4, 0, 0, 4, 1, 1, 1, 4, 4, 0, 2, 2, 3, 3, 1, 3, 0, 4, 4, 2, 0, 1, 1, 2, 0, 2, 3, 2, 0, 2, 0, 4, 2, 0, 4, 3, 4, 1, 1, 2, 2, 4, 1, 3, 0, 0, 2, 3, 2, 4, 4, 0, 4, 4, 0, 0, 4, 3, 1, 4, 2, 2, 1, 2, 1, 1, 4, 1, 4, 4, 1, 1, 3, 3, 0, 2, 2, 2, 2, 3, 3, 4, 1, 1, 2, 3, 4, 1, 4, 4, 2, 4, 3, 3, 1, 1, 4, 1, 2, 3, 1, 2, 2, 2, 4, 2, 1, 2, 4, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 0, 0, 0, 3, 4, 0, 3, 3, 4, 0, 2, 1, 3, 1, 0, 4, 1, 0, 3, 1, 0, 3, 3, 4, 3, 4, 1, 0, 2, 0, 0, 1, 1, 1, 0, 3, 2, 3, 3, 0, 4, 0, 1, 4, 2, 0, 2, 1, 3, 2, 2, 3, 1, 1, 3, 4, 2, 4, 4, 1, 4, 0, 1, 0, 2, 1, 3, 1, 1, 1, 2, 2, 1, 3, 3, 0, 2, 2, 3, 4, 2, 1, 2, 3, 4, 2, 4, 4, 4, 3, 1, 0, 1, 4, 4, 1, 4, 2, 1, 3, 0, 3, 3, 1, 3, 2, 3, 0, 1, 1, 2, 0, 3, 1, 1, 1, 0, 4, 1, 1, 4, 2, 3, 2, 2, 0, 4, 4, 0, 1, 0, 2, 0, 4, 3, 2, 4, 4, 4, 2, 1, 3, 2, 1, 2, 3, 0, 2, 0, 3, 4, 0, 2, 1, 2, 2, 2, 0, 4, 1, 4, 1, 2, 4, 3, 2, 1, 3, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol623 = [3, 3, 0, 1, 4, 1, 3, 3, 2, 4, 1, 0, 2, 3, 2, 3, 3, 2, 4, 2, 4, 1, 2, 1, 2, 3, 0, 0, 4, 0, 1, 3, 3, 3, 4, 2, 3, 1, 2, 2, 3, 3, 1, 1, 2, 0, 1, 4, 2, 3, 4, 2, 3, 1, 3, 4, 0, 1, 1, 0, 3, 2, 4, 0, 1, 4, 4, 3, 3, 4, 3, 4, 0, 0, 4, 4, 0, 3, 1, 1, 3, 0, 3, 3, 2, 2, 1, 1, 1, 3, 3, 2, 0, 1, 3, 4, 3, 3, 3, 0, 1, 4, 4, 2, 2, 0, 0, 0, 4, 2, 4, 3, 1, 3, 1, 4, 4, 1, 3, 4, 3, 4, 0, 2, 1, 1, 3, 0, 2, 4, 1, 2, 1, 4, 2, 4, 1, 4, 4, 0, 4, 4, 0, 0, 3, 4, 1, 1, 3, 1, 1, 1, 3, 0, 0, 2, 2, 3, 3, 2, 1, 1, 1, 4, 0, 1, 4, 2, 4, 3, 1, 1, 0, 3, 1, 0, 1, 2, 0, 4, 1, 2, 4, 1, 1, 3, 2, 3, 4, 4, 1, 3, 3, 0, 0, 0, 0, 3, 3, 4, 4, 2, 1, 1, 1, 2, 0, 4, 3, 2, 4, 4, 1, 3, 4, 3, 1, 0, 4, 3, 2, 0, 2, 0, 3, 1, 4, 3, 4, 3, 2, 1, 3, 0, 1, 0, 0, 1, 3, 1, 2, 4, 0, 1, 2, 1, 1, 2, 3, 0, 3, 3, 4, 1, 0, 1, 2, 0, 4, 4, 2, 0, 4, 4, 2, 3, 4, 1, 0, 0, 1, 2, 0, 3, 0, 2, 1, 2, 2, 4, 4, 0, 1, 1, 3, 2, 2, 1, 0, 3, 1, 3, 4, 0, 2, 3, 1, 0, 0, 2, 3, 2, 4, 3, 1, 0, 3, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 0, 3, 0, 4, 2, 4, 2, 3, 2, 4, 2, 1, 1, 2, 1, 0, 3, 0, 2, 4, 4, 2, 2, 2, 2, 4, 0, 0, 3, 1, 3, 3, 0, 0, 1, 3, 0, 0, 3, 1, 3, 4, 3, 1, 0, 4, 1, 2, 1, 1, 4, 3, 1, 4, 4, 0, 1, 4, 4, 0, 1, 3, 3, 2, 0, 2, 3, 1, 1, 2, 4, 2, 3, 1, 4, 3, 0, 0, 0, 3, 1, 0, 0] pubkeycol624 = [1, 2, 4, 1, 1, 3, 3, 2, 2, 3, 2, 1, 0, 0, 3, 2, 0, 3, 3, 2, 2, 1, 0, 0, 3, 0, 0, 3, 1, 3, 3, 4, 4, 4, 4, 2, 4, 3, 2, 3, 3, 4, 2, 0, 3, 2, 1, 4, 0, 3, 1, 0, 1, 0, 2, 4, 1, 2, 3, 1, 3, 2, 2, 0, 1, 1, 2, 0, 0, 4, 3, 2, 2, 3, 3, 0, 0, 0, 1, 4, 3, 1, 4, 3, 0, 3, 1, 3, 1, 2, 1, 0, 3, 4, 2, 2, 4, 3, 3, 3, 1, 3, 3, 4, 4, 4, 0, 4, 0, 0, 4, 1, 0, 4, 3, 0, 0, 0, 3, 0, 2, 3, 4, 3, 0, 1, 2, 2, 1, 3, 1, 3, 0, 2, 2, 0, 0, 4, 3, 1, 1, 1, 0, 0, 2, 4, 3, 2, 0, 3, 0, 1, 2, 4, 1, 3, 0, 0, 1, 4, 3, 1, 0, 3, 3, 0, 4, 1, 0, 0, 0, 0, 4, 0, 4, 1, 2, 4, 0, 0, 3, 3, 3, 4, 2, 4, 1, 1, 2, 0, 3, 2, 3, 3, 4, 2, 1, 4, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 1, 2, 3, 2, 1, 2, 0, 2, 3, 1, 3, 1, 0, 3, 4, 0, 2, 1, 3, 2, 0, 0, 4, 0, 3, 1, 1, 4, 3, 4, 3, 0, 0, 2, 3, 4, 4, 3, 1, 3, 4, 1, 1, 3, 0, 1, 0, 1, 1, 3, 0, 4, 0, 1, 4, 0, 1, 4, 1, 0, 4, 1, 4, 3, 3, 4, 0, 4, 4, 3, 4, 2, 1, 4, 2, 2, 0, 1, 2, 4, 4, 4, 1, 1, 3, 0, 1, 3, 0, 1, 0, 1, 1, 2, 4, 1, 0, 1, 1, 1, 4, 4, 0, 3, 4, 2, 4, 4, 3, 2, 2, 1, 4, 2, 4, 3, 1, 0, 1, 3, 1, 0, 3, 1, 0, 0, 1, 2, 3, 0, 0, 3, 4, 4, 0, 2, 4, 4, 0, 4, 0, 0, 3, 3, 3, 2, 0, 1, 1, 2, 4, 1, 1, 1, 0, 3, 2, 3, 2, 3, 3, 2, 1, 1, 1, 0, 4, 1, 2, 0, 1, 1, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 0, 2, 4, 4, 0, 0, 1, 2, 4, 4] pubkeycol625 = [2, 1, 1, 1, 4, 2, 3, 1, 1, 4, 2, 2, 1, 3, 4, 1, 2, 4, 3, 0, 0, 3, 4, 2, 1, 4, 4, 0, 2, 3, 0, 0, 1, 4, 1, 2, 2, 4, 0, 1, 4, 0, 0, 4, 0, 2, 4, 3, 3, 4, 0, 3, 0, 3, 4, 2, 2, 3, 0, 0, 3, 0, 2, 3, 0, 4, 1, 1, 3, 4, 4, 4, 2, 3, 0, 4, 0, 2, 1, 2, 3, 2, 3, 1, 1, 0, 2, 4, 4, 3, 0, 0, 3, 3, 1, 2, 0, 2, 0, 4, 0, 0, 2, 0, 1, 0, 0, 3, 1, 4, 4, 2, 0, 2, 0, 1, 4, 4, 2, 2, 3, 1, 1, 1, 0, 4, 1, 3, 1, 4, 0, 1, 2, 2, 1, 1, 2, 2, 3, 0, 2, 0, 2, 4, 4, 2, 3, 4, 2, 4, 3, 0, 2, 1, 1, 1, 2, 3, 1, 2, 0, 0, 0, 3, 2, 1, 1, 2, 0, 0, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 4, 2, 3, 4, 3, 0, 3, 1, 4, 3, 1, 2, 3, 2, 1, 4, 4, 4, 3, 2, 4, 3, 1, 1, 0, 2, 2, 0, 1, 4, 1, 0, 1, 4, 2, 3, 4, 3, 1, 4, 0, 3, 0, 4, 1, 4, 1, 3, 2, 3, 3, 3, 0, 1, 4, 0, 0, 3, 3, 0, 1, 3, 3, 1, 4, 4, 0, 1, 1, 3, 1, 1, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 0, 2, 2, 1, 1, 3, 2, 3, 3, 2, 2, 4, 3, 0, 4, 1, 0, 4, 3, 1, 4, 1, 4, 3, 4, 1, 0, 2, 4, 1, 1, 1, 3, 1, 2, 3, 2, 0, 1, 0, 2, 1, 4, 4, 4, 1, 2, 0, 4, 1, 4, 3, 0, 2, 1, 2, 3, 1, 0, 4, 0, 2, 2, 3, 0, 2, 2, 3, 0, 4, 1, 1, 1, 3, 0, 1, 0, 3, 2, 1, 2, 0, 3, 3, 0, 1, 3, 4, 3, 1, 4, 0, 2, 4, 0, 1, 2, 0, 0, 0, 4, 0, 1, 4, 3, 1, 1, 4, 1, 2, 0, 2, 3, 0, 1, 3, 1, 1, 0, 2, 4, 2, 2, 3, 1, 4, 0, 4, 1, 4, 2, 4, 4, 1, 2] pubkeycol626 = [3, 1, 0, 0, 1, 0, 3, 2, 4, 0, 1, 2, 3, 2, 2, 3, 2, 0, 1, 0, 4, 0, 3, 1, 4, 3, 1, 0, 4, 0, 0, 3, 3, 4, 4, 2, 2, 2, 1, 3, 1, 1, 0, 4, 4, 4, 4, 2, 3, 3, 4, 2, 3, 4, 1, 0, 2, 1, 3, 3, 1, 4, 2, 0, 4, 0, 2, 4, 4, 1, 2, 0, 2, 0, 3, 3, 1, 3, 1, 1, 1, 0, 2, 0, 2, 4, 4, 4, 1, 2, 0, 0, 2, 1, 0, 3, 3, 3, 0, 2, 1, 3, 3, 4, 2, 4, 2, 0, 4, 4, 1, 2, 0, 3, 2, 3, 3, 1, 0, 1, 1, 1, 1, 2, 2, 1, 4, 0, 0, 1, 3, 2, 1, 3, 4, 3, 1, 0, 2, 0, 4, 3, 1, 1, 2, 4, 2, 2, 3, 4, 1, 3, 2, 0, 2, 4, 2, 2, 0, 3, 3, 4, 4, 0, 3, 1, 1, 4, 4, 2, 0, 0, 0, 2, 1, 0, 4, 4, 2, 2, 0, 1, 0, 1, 4, 1, 0, 0, 4, 1, 1, 4, 2, 3, 2, 4, 2, 3, 0, 4, 1, 4, 4, 3, 1, 2, 4, 4, 0, 1, 0, 3, 0, 3, 2, 3, 3, 4, 4, 4, 2, 1, 0, 2, 4, 3, 4, 0, 4, 0, 3, 0, 3, 4, 4, 0, 2, 1, 2, 0, 2, 4, 2, 1, 4, 3, 4, 0, 2, 1, 1, 3, 1, 3, 3, 2, 3, 0, 2, 1, 2, 1, 3, 4, 0, 4, 3, 4, 3, 1, 2, 1, 2, 1, 2, 2, 4, 1, 4, 0, 4, 0, 0, 0, 3, 0, 3, 3, 4, 2, 3, 4, 0, 2, 2, 2, 2, 1, 4, 2, 4, 2, 3, 0, 0, 4, 1, 0, 2, 2, 3, 1, 1, 0, 3, 1, 2, 0, 4, 3, 1, 4, 1, 0, 4, 3, 4, 1, 2, 2, 1, 4, 1, 3, 3, 4, 0, 1, 2, 3, 2, 0, 1, 1, 4, 2, 0, 1, 4, 0, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 3, 3, 1, 1, 4, 4, 1, 0, 2, 2, 2, 2, 3, 0, 2, 1, 0, 3, 0, 1, 4, 2, 1, 1, 4, 3, 3, 1, 4, 0, 1, 0, 1, 0, 3, 3, 1, 2, 1, 0] pubkeycol627 = [4, 0, 0, 2, 3, 4, 4, 2, 4, 2, 2, 4, 0, 1, 3, 0, 2, 2, 4, 0, 0, 1, 3, 2, 4, 3, 3, 2, 0, 0, 4, 3, 0, 0, 1, 2, 1, 1, 3, 2, 4, 0, 3, 4, 4, 0, 3, 2, 2, 1, 0, 4, 4, 2, 2, 0, 3, 1, 3, 0, 0, 4, 2, 0, 0, 2, 4, 1, 0, 4, 0, 2, 0, 1, 4, 4, 2, 0, 0, 1, 2, 4, 4, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 1, 3, 1, 4, 4, 4, 4, 3, 0, 4, 0, 3, 0, 3, 0, 3, 2, 2, 4, 2, 2, 0, 0, 4, 0, 2, 1, 3, 1, 3, 0, 1, 2, 2, 1, 0, 4, 1, 2, 1, 3, 3, 1, 4, 2, 4, 4, 4, 2, 2, 2, 3, 4, 3, 4, 2, 4, 2, 3, 0, 0, 1, 1, 3, 3, 4, 0, 3, 1, 1, 0, 3, 2, 0, 4, 3, 2, 2, 4, 0, 1, 1, 0, 2, 0, 0, 0, 1, 4, 2, 1, 0, 1, 0, 2, 3, 0, 1, 4, 0, 2, 3, 3, 1, 2, 3, 0, 1, 1, 0, 1, 2, 3, 4, 4, 1, 4, 3, 4, 4, 4, 3, 1, 3, 1, 0, 1, 3, 1, 3, 2, 3, 1, 0, 2, 3, 2, 3, 3, 1, 4, 1, 4, 4, 4, 4, 3, 4, 4, 3, 0, 1, 2, 1, 2, 1, 3, 2, 4, 3, 3, 4, 0, 4, 4, 3, 3, 1, 3, 3, 4, 2, 3, 0, 0, 0, 3, 4, 1, 0, 3, 1, 3, 3, 1, 0, 1, 2, 0, 2, 3, 4, 0, 1, 2, 0, 4, 0, 4, 4, 1, 0, 0, 3, 1, 2, 2, 4, 0, 2, 4, 3, 0, 4, 3, 2, 2, 2, 0, 2, 2, 4, 0, 1, 4, 4, 1, 1, 1, 2, 3, 0, 1, 2, 2, 3, 2, 3, 2, 2, 2, 0, 0, 2, 2, 2, 3, 2, 4, 3, 2, 2, 4, 3, 0, 1, 3, 1, 4, 4, 2, 0, 2, 3, 1, 0, 3, 2, 1, 4, 3, 2, 3, 3, 2, 0, 0, 0, 1, 4, 3, 2, 1, 3, 0, 0, 3, 0, 2, 0, 0, 4, 2, 4, 3, 3, 0, 3, 2, 1, 3, 4, 3, 3, 3, 3, 1] pubkeycol628 = [0, 4, 3, 4, 4, 4, 3, 4, 0, 4, 0, 4, 0, 2, 2, 1, 0, 0, 1, 2, 1, 3, 3, 3, 1, 3, 4, 4, 2, 4, 1, 2, 3, 1, 3, 3, 1, 2, 4, 2, 1, 4, 3, 3, 0, 4, 1, 1, 2, 1, 4, 0, 1, 4, 4, 1, 1, 1, 2, 4, 2, 4, 2, 1, 2, 0, 1, 1, 1, 4, 0, 4, 2, 3, 3, 2, 1, 0, 4, 3, 0, 0, 0, 4, 3, 3, 2, 3, 4, 4, 2, 2, 3, 4, 1, 4, 1, 1, 3, 2, 3, 2, 0, 4, 3, 3, 4, 4, 1, 1, 4, 1, 2, 4, 4, 2, 0, 0, 2, 2, 3, 4, 2, 0, 1, 0, 4, 2, 4, 1, 2, 0, 4, 3, 1, 0, 1, 3, 1, 2, 3, 3, 3, 3, 1, 4, 1, 2, 4, 2, 0, 1, 3, 4, 0, 4, 1, 3, 4, 3, 1, 0, 2, 1, 1, 3, 0, 0, 4, 4, 0, 1, 2, 1, 3, 4, 0, 0, 4, 0, 0, 2, 0, 3, 0, 0, 3, 4, 4, 4, 2, 1, 1, 3, 0, 2, 1, 2, 1, 3, 2, 0, 0, 4, 4, 3, 1, 0, 4, 2, 4, 2, 4, 1, 4, 0, 3, 3, 0, 3, 3, 1, 4, 2, 4, 0, 4, 3, 2, 4, 0, 0, 4, 1, 1, 1, 4, 2, 3, 1, 4, 3, 0, 2, 0, 1, 0, 4, 2, 0, 0, 2, 1, 0, 3, 1, 3, 4, 2, 1, 2, 4, 4, 2, 1, 2, 1, 2, 3, 4, 3, 1, 0, 3, 3, 1, 0, 0, 4, 1, 2, 1, 1, 2, 4, 1, 0, 3, 4, 0, 0, 0, 4, 3, 1, 3, 0, 3, 0, 4, 0, 1, 2, 0, 2, 4, 4, 0, 2, 3, 1, 0, 2, 1, 4, 3, 2, 0, 4, 3, 3, 1, 4, 1, 0, 0, 2, 1, 2, 3, 2, 4, 0, 3, 4, 2, 2, 1, 3, 3, 1, 0, 4, 3, 0, 3, 4, 4, 4, 4, 1, 0, 3, 2, 3, 1, 4, 0, 3, 3, 0, 4, 0, 4, 4, 3, 4, 4, 1, 3, 1, 4, 3, 1, 0, 0, 4, 3, 2, 1, 3, 2, 3, 0, 2, 3, 3, 2, 4, 0, 1, 1, 2, 3, 0, 4, 0, 4, 1, 2] pubkeycol629 = [2, 0, 2, 3, 4, 4, 3, 2, 0, 4, 1, 0, 4, 3, 4, 3, 2, 2, 4, 1, 0, 4, 2, 0, 0, 3, 2, 2, 0, 4, 3, 1, 3, 2, 4, 3, 4, 0, 3, 2, 3, 3, 3, 0, 3, 2, 3, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 4, 0, 0, 2, 4, 2, 2, 1, 3, 3, 4, 0, 1, 3, 3, 1, 3, 3, 2, 3, 4, 4, 1, 3, 3, 1, 0, 2, 2, 4, 2, 0, 0, 2, 3, 1, 1, 3, 3, 2, 0, 4, 0, 1, 3, 1, 2, 0, 0, 2, 3, 4, 1, 1, 0, 2, 3, 4, 3, 0, 4, 4, 0, 1, 2, 4, 4, 3, 2, 3, 1, 1, 1, 3, 2, 3, 0, 1, 4, 0, 2, 4, 4, 3, 1, 2, 3, 0, 2, 0, 3, 4, 1, 0, 3, 4, 2, 1, 0, 0, 0, 3, 2, 1, 2, 0, 2, 0, 0, 1, 4, 0, 1, 2, 4, 3, 4, 4, 2, 3, 4, 3, 4, 2, 4, 3, 0, 3, 2, 1, 2, 4, 2, 4, 2, 3, 4, 0, 4, 2, 4, 3, 2, 1, 3, 3, 1, 4, 2, 4, 0, 3, 4, 4, 4, 2, 1, 4, 2, 1, 3, 3, 4, 3, 4, 3, 0, 2, 2, 2, 3, 3, 4, 2, 2, 3, 2, 1, 1, 0, 2, 3, 1, 1, 2, 0, 0, 4, 4, 0, 2, 3, 0, 3, 0, 3, 3, 4, 0, 2, 2, 4, 3, 3, 4, 4, 0, 0, 4, 0, 1, 4, 1, 2, 2, 3, 1, 0, 2, 1, 4, 3, 4, 4, 1, 3, 0, 2, 1, 0, 2, 0, 0, 4, 4, 0, 4, 4, 1, 1, 1, 0, 3, 1, 2, 4, 3, 4, 0, 2, 1, 1, 3, 2, 0, 3, 0, 1, 4, 2, 0, 2, 4, 1, 2, 4, 0, 2, 3, 0, 4, 1, 4, 3, 3, 0, 0, 3, 2, 3, 2, 1, 2, 3, 3, 0, 0, 4, 2, 4, 2, 0, 0, 0, 3, 2, 2, 0, 4, 3, 3, 2, 3, 0, 4, 1, 0, 4, 1, 4, 3, 2, 1, 3, 3, 2, 3, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 3, 4, 3, 1, 2, 1, 2, 1, 4, 0, 4, 1] pubkeycol630 = [0, 4, 2, 0, 3, 4, 0, 4, 2, 3, 2, 4, 3, 1, 1, 0, 0, 4, 2, 3, 4, 0, 3, 3, 2, 0, 0, 0, 4, 1, 1, 2, 2, 3, 4, 2, 0, 0, 4, 1, 0, 0, 2, 3, 3, 0, 1, 2, 4, 0, 1, 2, 2, 2, 1, 1, 4, 0, 3, 3, 3, 0, 2, 2, 3, 0, 1, 2, 3, 3, 3, 0, 0, 1, 0, 4, 1, 0, 1, 1, 2, 4, 3, 4, 4, 4, 2, 0, 2, 2, 4, 3, 1, 3, 3, 3, 1, 3, 3, 4, 0, 2, 4, 2, 4, 1, 3, 4, 2, 3, 2, 0, 2, 3, 0, 3, 4, 4, 4, 3, 0, 3, 4, 4, 2, 2, 2, 3, 1, 3, 2, 0, 1, 1, 3, 0, 3, 1, 4, 0, 3, 1, 0, 0, 4, 1, 4, 0, 3, 4, 2, 1, 2, 4, 2, 3, 0, 0, 1, 2, 4, 3, 4, 4, 0, 0, 4, 2, 3, 3, 2, 3, 3, 3, 1, 3, 0, 2, 2, 4, 3, 4, 3, 2, 3, 0, 3, 2, 0, 2, 3, 4, 3, 4, 4, 4, 2, 0, 0, 0, 0, 2, 3, 3, 0, 3, 3, 4, 0, 2, 0, 1, 0, 4, 4, 1, 1, 1, 4, 3, 1, 3, 2, 2, 0, 0, 4, 1, 3, 4, 1, 4, 4, 0, 2, 0, 2, 2, 4, 0, 1, 3, 1, 1, 3, 2, 0, 3, 2, 2, 4, 0, 3, 1, 1, 2, 3, 4, 2, 2, 1, 0, 2, 3, 0, 3, 2, 1, 3, 4, 1, 4, 4, 1, 0, 1, 4, 0, 0, 3, 3, 3, 1, 2, 1, 3, 0, 4, 2, 3, 3, 2, 2, 3, 2, 1, 3, 0, 0, 0, 0, 3, 4, 3, 4, 4, 2, 2, 2, 4, 3, 4, 4, 3, 0, 4, 3, 3, 1, 0, 1, 4, 0, 0, 1, 0, 0, 4, 1, 1, 3, 4, 1, 1, 2, 2, 3, 0, 4, 3, 0, 4, 3, 1, 1, 4, 1, 2, 1, 0, 2, 2, 0, 4, 1, 0, 0, 0, 0, 2, 2, 3, 2, 3, 4, 0, 2, 1, 0, 0, 2, 0, 0, 4, 3, 3, 0, 1, 4, 4, 1, 0, 3, 0, 3, 1, 2, 1, 4, 1, 1, 0, 2, 1, 4, 4, 0, 4, 0, 2] pubkeycol631 = [4, 3, 0, 2, 4, 0, 3, 0, 0, 1, 1, 0, 4, 1, 3, 0, 1, 2, 0, 0, 1, 2, 4, 1, 2, 2, 2, 3, 2, 3, 3, 3, 0, 1, 2, 1, 1, 0, 3, 2, 4, 1, 1, 1, 2, 1, 2, 2, 3, 4, 1, 3, 3, 1, 4, 4, 4, 1, 1, 3, 3, 2, 2, 0, 4, 1, 0, 2, 3, 2, 4, 3, 4, 4, 0, 1, 4, 3, 3, 2, 2, 3, 3, 4, 3, 0, 0, 3, 0, 4, 1, 2, 4, 4, 2, 3, 0, 3, 2, 0, 2, 3, 3, 2, 0, 4, 4, 4, 0, 3, 4, 1, 2, 4, 3, 1, 4, 4, 1, 3, 0, 0, 4, 4, 1, 3, 2, 3, 1, 1, 3, 3, 2, 4, 4, 3, 2, 2, 1, 2, 2, 4, 4, 3, 3, 3, 1, 2, 3, 3, 3, 0, 3, 3, 2, 3, 2, 3, 1, 0, 4, 0, 1, 1, 3, 3, 1, 4, 0, 2, 0, 2, 1, 2, 4, 2, 3, 2, 0, 2, 2, 3, 0, 0, 4, 1, 1, 3, 4, 3, 1, 0, 1, 2, 4, 4, 1, 2, 1, 0, 1, 1, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 2, 3, 0, 4, 0, 3, 0, 2, 0, 3, 1, 4, 4, 3, 4, 4, 3, 1, 2, 3, 3, 2, 0, 2, 3, 1, 2, 2, 3, 3, 4, 1, 4, 1, 4, 2, 2, 4, 2, 4, 3, 4, 4, 0, 1, 4, 0, 3, 0, 2, 2, 4, 1, 3, 3, 2, 3, 1, 0, 3, 3, 3, 4, 0, 4, 0, 2, 0, 2, 1, 2, 0, 2, 3, 2, 4, 3, 2, 4, 2, 2, 3, 1, 4, 0, 4, 1, 1, 3, 0, 0, 1, 1, 1, 2, 0, 0, 3, 1, 4, 1, 4, 1, 3, 4, 4, 4, 2, 3, 3, 2, 3, 1, 1, 1, 4, 0, 3, 1, 3, 3, 0, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 1, 2, 2, 3, 4, 2, 3, 3, 0, 2, 2, 0, 3, 0, 2, 1, 1, 2, 2, 3, 2, 4, 2, 2, 2, 4, 2, 3, 4, 4, 0, 0, 2, 1, 4, 1, 0, 2, 2, 4, 3, 1, 1, 1, 1, 0, 4, 3, 2, 1, 3, 4, 0, 3, 0] pubkeycol632 = [2, 2, 0, 0, 1, 0, 3, 2, 2, 3, 1, 2, 3, 4, 3, 4, 1, 2, 4, 2, 4, 0, 1, 4, 2, 4, 2, 3, 0, 1, 4, 4, 1, 4, 2, 2, 2, 2, 0, 3, 1, 2, 2, 1, 2, 3, 3, 0, 4, 1, 3, 2, 2, 1, 2, 4, 4, 0, 3, 4, 1, 4, 3, 0, 3, 1, 4, 2, 0, 3, 4, 3, 3, 0, 0, 1, 1, 4, 1, 0, 1, 4, 2, 4, 1, 4, 3, 4, 1, 2, 4, 0, 4, 1, 2, 2, 0, 2, 1, 0, 1, 4, 2, 4, 0, 4, 2, 4, 4, 4, 2, 0, 1, 1, 3, 3, 3, 2, 1, 2, 0, 0, 3, 0, 1, 4, 3, 2, 2, 0, 1, 1, 2, 3, 1, 0, 1, 1, 4, 4, 4, 1, 0, 1, 3, 4, 3, 2, 4, 0, 2, 0, 0, 1, 2, 2, 4, 2, 0, 2, 4, 2, 3, 2, 0, 3, 2, 3, 1, 4, 2, 0, 0, 0, 3, 1, 0, 4, 4, 0, 2, 2, 3, 0, 3, 0, 4, 2, 0, 1, 3, 0, 3, 4, 3, 3, 1, 4, 3, 4, 0, 4, 1, 0, 1, 0, 1, 1, 4, 0, 4, 1, 1, 4, 2, 1, 0, 1, 1, 4, 2, 0, 4, 2, 4, 0, 2, 4, 0, 1, 3, 2, 0, 0, 2, 4, 4, 3, 0, 3, 0, 1, 0, 4, 3, 2, 2, 1, 4, 1, 0, 2, 1, 2, 0, 1, 1, 2, 3, 3, 2, 2, 3, 4, 3, 1, 1, 4, 3, 2, 2, 0, 4, 1, 0, 1, 0, 1, 0, 3, 0, 3, 3, 4, 2, 1, 3, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 4, 1, 0, 4, 1, 0, 2, 1, 4, 0, 3, 4, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 1, 1, 2, 2, 0, 1, 0, 2, 1, 3, 3, 0, 1, 1, 2, 4, 0, 1, 1, 4, 2, 2, 1, 1, 3, 4, 1, 0, 1, 1, 3, 4, 4, 4, 2, 1, 1, 1, 3, 3, 3, 2, 2, 4, 0, 4, 2, 2, 2, 1, 1, 0, 4, 1, 3, 2, 2, 4, 1, 4, 2, 2, 4, 2, 3, 3, 3, 0, 3, 4, 4, 4, 4, 1, 4, 3, 3, 1, 4] pubkeycol633 = [2, 1, 1, 3, 1, 3, 4, 4, 1, 3, 4, 1, 2, 1, 1, 2, 2, 3, 3, 4, 0, 0, 3, 4, 0, 3, 0, 0, 4, 3, 2, 3, 0, 3, 1, 2, 3, 2, 4, 4, 1, 0, 0, 0, 4, 2, 2, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 2, 3, 1, 0, 4, 3, 4, 0, 1, 3, 1, 3, 3, 0, 0, 4, 1, 3, 2, 1, 1, 2, 1, 1, 3, 3, 1, 1, 0, 3, 2, 0, 1, 0, 0, 0, 3, 4, 0, 3, 2, 0, 4, 4, 1, 0, 2, 0, 0, 2, 0, 0, 4, 4, 4, 4, 0, 1, 4, 0, 1, 1, 3, 2, 0, 1, 0, 1, 1, 1, 1, 0, 4, 2, 1, 4, 1, 3, 2, 1, 1, 4, 3, 3, 3, 4, 3, 4, 3, 0, 1, 3, 4, 3, 4, 3, 2, 1, 2, 2, 3, 4, 1, 3, 1, 0, 3, 2, 4, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 0, 3, 4, 2, 2, 1, 0, 2, 4, 3, 0, 1, 2, 0, 0, 0, 1, 0, 0, 4, 3, 0, 0, 2, 4, 0, 1, 3, 2, 3, 4, 1, 4, 4, 1, 2, 3, 0, 2, 0, 4, 4, 0, 2, 1, 4, 3, 4, 4, 4, 0, 3, 0, 4, 0, 1, 4, 1, 0, 2, 3, 2, 4, 1, 0, 2, 4, 3, 1, 4, 2, 3, 0, 1, 4, 1, 0, 1, 3, 3, 3, 4, 0, 4, 3, 1, 3, 0, 0, 1, 4, 0, 3, 4, 4, 1, 2, 2, 1, 3, 0, 3, 1, 4, 1, 0, 4, 1, 3, 2, 3, 3, 2, 1, 0, 1, 2, 0, 2, 0, 0, 3, 0, 3, 1, 1, 3, 3, 2, 4, 1, 0, 1, 1, 3, 3, 4, 1, 4, 1, 4, 0, 4, 0, 1, 0, 3, 3, 3, 2, 3, 2, 2, 4, 3, 3, 3, 1, 1, 2, 2, 2, 4, 0, 1, 0, 1, 0, 2, 1, 3, 0, 0, 2, 2, 0, 3, 3, 0, 2, 3, 4, 2, 0, 1, 2, 0, 4, 3, 1, 1, 3, 3, 4, 4, 1, 2, 1, 1, 3, 1, 3, 2, 2, 0, 2, 0, 1, 3, 3, 2, 1, 1, 3, 0, 1, 2, 0, 2, 2, 1] pubkeycol634 = [0, 3, 1, 2, 1, 4, 0, 2, 3, 4, 2, 1, 0, 4, 2, 4, 1, 4, 1, 3, 2, 4, 4, 2, 3, 1, 1, 3, 3, 2, 1, 4, 0, 2, 3, 1, 2, 2, 0, 2, 2, 1, 0, 2, 3, 1, 0, 3, 4, 3, 3, 2, 1, 1, 1, 2, 4, 2, 3, 0, 0, 4, 4, 2, 2, 0, 0, 4, 0, 1, 0, 3, 3, 1, 3, 2, 4, 4, 3, 2, 3, 0, 3, 4, 3, 1, 2, 4, 1, 1, 0, 4, 1, 3, 3, 1, 0, 3, 4, 0, 4, 2, 2, 3, 4, 0, 0, 1, 4, 3, 2, 3, 1, 0, 4, 1, 4, 2, 3, 3, 2, 1, 0, 1, 1, 1, 2, 4, 2, 1, 3, 2, 3, 4, 0, 4, 0, 3, 1, 2, 4, 1, 3, 4, 0, 4, 4, 0, 4, 0, 2, 1, 2, 3, 4, 0, 4, 0, 0, 3, 0, 2, 0, 4, 0, 1, 0, 0, 2, 4, 4, 3, 0, 1, 3, 0, 0, 2, 4, 0, 1, 3, 1, 2, 1, 4, 1, 4, 3, 2, 4, 0, 0, 0, 4, 3, 0, 0, 0, 0, 4, 1, 3, 4, 0, 2, 2, 1, 3, 1, 4, 3, 2, 4, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 2, 2, 0, 0, 3, 4, 0, 2, 2, 1, 1, 4, 2, 4, 3, 4, 1, 0, 0, 3, 3, 2, 4, 0, 0, 0, 2, 4, 0, 4, 2, 2, 0, 3, 1, 0, 0, 0, 0, 1, 3, 3, 2, 4, 2, 3, 4, 0, 1, 0, 3, 3, 1, 3, 2, 2, 3, 1, 3, 0, 4, 2, 2, 4, 1, 4, 3, 2, 3, 4, 0, 1, 2, 4, 0, 4, 1, 4, 0, 3, 2, 0, 2, 3, 1, 3, 0, 4, 3, 0, 0, 2, 1, 2, 2, 0, 0, 3, 1, 0, 3, 4, 3, 3, 4, 2, 4, 1, 4, 1, 4, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0, 3, 4, 0, 3, 1, 4, 3, 3, 4, 2, 3, 3, 0, 4, 2, 3, 0, 3, 1, 2, 0, 3, 0, 1, 4, 1, 2, 3, 2, 0, 0, 1, 3, 3, 4, 1, 4, 2, 2, 4, 0, 1, 4, 0, 1, 3, 4, 0, 0, 3, 4, 3, 2, 0, 4] pubkeycol635 = [1, 4, 0, 2, 1, 0, 2, 0, 4, 4, 2, 2, 4, 2, 3, 3, 4, 1, 1, 2, 1, 4, 1, 2, 3, 4, 2, 4, 3, 0, 1, 3, 1, 0, 2, 3, 2, 4, 1, 2, 0, 4, 1, 3, 2, 0, 4, 2, 0, 1, 2, 0, 3, 3, 0, 3, 1, 0, 4, 2, 4, 1, 1, 4, 0, 1, 1, 4, 2, 2, 3, 0, 3, 0, 3, 4, 0, 4, 0, 1, 3, 2, 4, 4, 0, 4, 2, 0, 4, 0, 0, 1, 0, 4, 3, 2, 2, 4, 4, 2, 2, 4, 4, 0, 2, 3, 4, 4, 2, 0, 1, 1, 4, 3, 4, 2, 2, 3, 4, 0, 2, 4, 2, 3, 0, 2, 3, 3, 4, 2, 4, 4, 1, 1, 2, 4, 4, 4, 2, 3, 1, 4, 3, 4, 3, 2, 1, 2, 3, 1, 4, 0, 1, 2, 2, 1, 4, 3, 0, 1, 2, 1, 1, 3, 2, 0, 3, 3, 2, 4, 4, 4, 3, 1, 0, 2, 3, 4, 1, 4, 3, 4, 3, 4, 1, 2, 2, 0, 0, 2, 3, 1, 4, 1, 0, 3, 3, 4, 0, 0, 1, 2, 1, 3, 4, 4, 0, 0, 2, 0, 3, 2, 2, 3, 1, 0, 3, 4, 4, 1, 1, 2, 2, 4, 0, 1, 3, 0, 1, 4, 3, 2, 1, 2, 2, 0, 2, 1, 2, 2, 4, 1, 3, 0, 4, 1, 1, 4, 0, 1, 0, 0, 0, 1, 4, 2, 2, 1, 4, 4, 4, 0, 1, 1, 2, 1, 0, 2, 4, 2, 4, 3, 2, 3, 4, 3, 1, 2, 4, 4, 3, 1, 4, 4, 2, 0, 4, 0, 4, 3, 3, 1, 1, 4, 0, 3, 1, 3, 4, 0, 4, 1, 4, 1, 3, 2, 4, 3, 2, 2, 1, 1, 2, 0, 0, 3, 1, 0, 0, 4, 3, 2, 0, 2, 4, 0, 1, 0, 2, 4, 2, 2, 4, 3, 4, 1, 1, 0, 4, 2, 1, 0, 0, 4, 0, 0, 1, 0, 0, 1, 4, 1, 4, 3, 4, 3, 4, 3, 0, 0, 4, 0, 3, 4, 1, 3, 4, 2, 2, 0, 3, 3, 4, 4, 1, 4, 1, 3, 3, 3, 3, 2, 4, 2, 2, 1, 4, 2, 2, 4, 3, 4, 4, 2, 4, 2, 0, 4, 0, 0] pubkeycol636 = [4, 2, 0, 3, 0, 3, 4, 2, 3, 3, 3, 3, 4, 4, 1, 0, 1, 0, 0, 3, 0, 1, 3, 4, 3, 0, 0, 1, 3, 0, 4, 3, 3, 4, 2, 2, 3, 3, 1, 0, 1, 3, 3, 0, 0, 2, 3, 4, 0, 0, 3, 4, 3, 0, 1, 1, 3, 2, 0, 1, 1, 4, 4, 2, 2, 0, 0, 4, 1, 3, 3, 0, 3, 2, 2, 4, 4, 2, 1, 0, 4, 2, 1, 3, 1, 4, 4, 0, 1, 3, 4, 2, 0, 3, 2, 0, 3, 4, 3, 4, 4, 1, 2, 0, 2, 3, 2, 4, 4, 3, 1, 3, 0, 3, 3, 1, 4, 3, 4, 2, 2, 4, 4, 0, 1, 2, 3, 1, 4, 2, 1, 2, 0, 3, 3, 0, 3, 4, 4, 3, 3, 3, 4, 1, 4, 2, 3, 2, 3, 0, 4, 0, 2, 0, 4, 1, 3, 2, 2, 0, 1, 3, 1, 2, 0, 4, 2, 4, 4, 2, 4, 0, 1, 2, 3, 0, 2, 4, 2, 2, 2, 1, 4, 2, 0, 4, 4, 3, 2, 4, 3, 4, 3, 1, 2, 0, 3, 4, 0, 4, 4, 2, 2, 4, 2, 0, 3, 2, 3, 4, 0, 0, 3, 4, 3, 4, 3, 1, 2, 3, 3, 3, 3, 4, 4, 4, 2, 2, 1, 2, 4, 0, 0, 4, 1, 3, 2, 2, 3, 2, 2, 0, 2, 3, 2, 0, 2, 4, 2, 2, 4, 4, 4, 3, 2, 2, 1, 4, 4, 4, 1, 0, 1, 4, 0, 1, 4, 3, 4, 0, 3, 1, 1, 1, 2, 1, 3, 3, 2, 4, 0, 1, 1, 1, 4, 2, 0, 1, 0, 3, 2, 1, 2, 3, 4, 0, 0, 4, 0, 1, 2, 4, 0, 2, 4, 0, 3, 3, 2, 1, 2, 0, 0, 2, 4, 2, 0, 1, 0, 4, 2, 3, 2, 1, 4, 3, 1, 0, 1, 1, 3, 1, 0, 0, 1, 2, 4, 2, 2, 3, 1, 1, 1, 4, 4, 2, 3, 0, 2, 0, 1, 2, 3, 2, 3, 3, 4, 4, 1, 1, 0, 3, 0, 2, 4, 2, 0, 4, 0, 4, 0, 0, 0, 3, 0, 1, 0, 1, 0, 2, 3, 4, 4, 4, 4, 3, 1, 3, 2, 1, 4, 4, 2, 3, 2, 3, 3, 0, 4, 3] pubkeycol637 = [4, 3, 3, 4, 2, 2, 3, 2, 3, 2, 2, 3, 2, 4, 4, 0, 2, 2, 0, 2, 3, 3, 0, 4, 2, 3, 2, 2, 4, 1, 3, 3, 1, 1, 3, 0, 2, 3, 4, 3, 1, 0, 3, 3, 2, 3, 4, 0, 3, 1, 0, 1, 3, 2, 4, 1, 4, 3, 1, 1, 2, 1, 0, 3, 2, 0, 3, 2, 3, 4, 0, 3, 2, 4, 2, 1, 3, 1, 1, 2, 0, 3, 1, 3, 1, 4, 1, 2, 1, 2, 3, 3, 3, 0, 4, 1, 2, 2, 4, 1, 2, 1, 0, 3, 2, 2, 4, 4, 2, 3, 3, 0, 4, 4, 0, 3, 4, 0, 2, 0, 1, 3, 0, 4, 2, 2, 1, 0, 0, 1, 0, 1, 2, 3, 3, 4, 2, 3, 1, 1, 2, 3, 0, 0, 0, 0, 1, 2, 3, 0, 2, 1, 2, 2, 1, 2, 0, 4, 0, 0, 3, 3, 2, 2, 0, 4, 4, 4, 4, 2, 4, 1, 1, 4, 0, 0, 4, 2, 3, 0, 0, 0, 4, 4, 4, 4, 1, 2, 4, 1, 3, 1, 1, 4, 1, 1, 4, 0, 3, 0, 2, 0, 1, 1, 0, 4, 2, 3, 2, 1, 3, 3, 0, 1, 2, 2, 0, 4, 3, 1, 0, 3, 0, 3, 0, 1, 2, 3, 2, 2, 4, 4, 0, 0, 2, 2, 0, 4, 1, 1, 0, 1, 3, 3, 2, 3, 0, 2, 2, 2, 3, 4, 2, 0, 1, 4, 1, 1, 2, 0, 4, 3, 4, 3, 3, 4, 1, 2, 2, 3, 0, 3, 0, 3, 3, 4, 1, 2, 4, 0, 1, 2, 3, 2, 3, 1, 2, 0, 3, 1, 1, 0, 1, 4, 2, 3, 1, 0, 2, 4, 1, 2, 3, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4, 3, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 0, 2, 3, 0, 1, 4, 4, 3, 3, 4, 4, 1, 4, 0, 2, 3, 1, 1, 4, 1, 3, 3, 2, 2, 2, 2, 0, 0, 3, 4, 4, 1, 1, 0, 3, 2, 2, 2, 4, 4, 2, 2, 0, 0, 2, 3, 3, 1, 1, 0, 1, 0, 1, 0, 1, 0, 4, 0, 0, 2, 0, 2, 3, 2, 3, 3, 2, 0, 2, 1, 1, 0, 1, 2, 3, 2] pubkeycol638 = [2, 2, 2, 4, 0, 4, 2, 4, 0, 1, 2, 1, 2, 4, 1, 2, 3, 1, 3, 0, 0, 0, 0, 3, 1, 0, 4, 0, 3, 0, 1, 2, 3, 0, 2, 0, 4, 0, 4, 3, 1, 4, 1, 3, 4, 3, 2, 2, 1, 1, 1, 4, 1, 1, 0, 3, 2, 2, 4, 3, 2, 2, 0, 3, 4, 1, 2, 4, 3, 0, 4, 2, 0, 1, 1, 2, 3, 2, 1, 0, 2, 3, 3, 2, 1, 2, 0, 0, 4, 0, 2, 4, 1, 4, 2, 2, 1, 2, 2, 3, 1, 1, 0, 3, 2, 4, 1, 2, 0, 2, 2, 3, 4, 4, 0, 4, 1, 4, 2, 3, 2, 0, 3, 4, 2, 0, 1, 1, 2, 1, 2, 4, 2, 2, 3, 3, 2, 4, 1, 1, 0, 1, 4, 4, 3, 3, 2, 2, 1, 2, 4, 1, 2, 1, 4, 3, 1, 1, 3, 2, 4, 1, 2, 3, 3, 1, 2, 3, 2, 1, 1, 1, 1, 1, 2, 3, 2, 1, 2, 3, 2, 0, 3, 3, 4, 4, 1, 1, 4, 0, 4, 3, 1, 0, 2, 0, 0, 3, 3, 4, 1, 2, 0, 0, 4, 0, 0, 1, 2, 2, 0, 0, 1, 3, 4, 1, 2, 3, 3, 4, 2, 1, 2, 1, 2, 2, 3, 3, 0, 3, 4, 0, 2, 1, 2, 3, 1, 1, 2, 0, 3, 4, 3, 1, 0, 0, 4, 2, 2, 3, 3, 3, 0, 0, 4, 2, 1, 0, 0, 0, 3, 3, 0, 1, 1, 4, 0, 2, 0, 4, 2, 2, 2, 0, 0, 4, 4, 3, 3, 4, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 1, 0, 2, 2, 1, 2, 4, 0, 4, 0, 0, 2, 2, 4, 4, 2, 4, 1, 1, 1, 4, 0, 1, 3, 2, 0, 3, 1, 4, 3, 3, 4, 1, 1, 1, 2, 0, 4, 4, 3, 4, 1, 4, 3, 3, 1, 2, 2, 3, 1, 2, 0, 1, 2, 4, 4, 0, 4, 0, 1, 2, 1, 4, 2, 3, 3, 2, 3, 4, 4, 2, 4, 4, 0, 4, 4, 0, 4, 3, 4, 2, 1, 4, 3, 4, 3, 1, 0, 2, 1, 1, 0, 0, 4, 0, 2, 1, 4, 2, 4, 4, 3, 4, 4, 2, 3, 3, 3, 4, 3] pubkeycol639 = [3, 3, 1, 2, 2, 2, 2, 3, 3, 4, 3, 2, 4, 2, 3, 1, 1, 0, 1, 4, 0, 2, 1, 3, 4, 4, 1, 4, 0, 2, 4, 3, 0, 1, 4, 2, 1, 3, 0, 3, 1, 1, 4, 1, 4, 1, 1, 0, 0, 4, 3, 0, 0, 1, 4, 4, 3, 2, 0, 0, 4, 3, 1, 3, 4, 0, 2, 2, 0, 4, 0, 0, 1, 0, 4, 2, 1, 4, 4, 1, 3, 2, 0, 1, 4, 0, 3, 0, 0, 2, 3, 2, 4, 0, 2, 4, 0, 3, 0, 2, 2, 3, 3, 1, 0, 3, 4, 1, 1, 4, 4, 4, 2, 3, 2, 0, 4, 1, 1, 4, 2, 4, 1, 2, 0, 0, 3, 3, 4, 2, 1, 1, 3, 0, 1, 2, 4, 2, 2, 1, 1, 1, 3, 2, 2, 1, 2, 0, 1, 3, 3, 2, 4, 4, 0, 4, 1, 2, 1, 2, 4, 1, 0, 1, 4, 4, 1, 1, 1, 3, 0, 2, 2, 0, 1, 2, 4, 1, 2, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 4, 0, 0, 4, 0, 2, 2, 1, 1, 4, 3, 2, 3, 3, 1, 0, 0, 3, 4, 1, 1, 3, 4, 2, 4, 2, 1, 0, 3, 1, 2, 2, 4, 4, 2, 1, 1, 0, 4, 4, 1, 0, 2, 0, 2, 0, 3, 0, 1, 3, 0, 3, 4, 4, 2, 4, 4, 3, 2, 1, 3, 0, 2, 3, 4, 2, 2, 2, 2, 4, 3, 3, 4, 0, 0, 4, 1, 1, 1, 0, 4, 1, 0, 2, 4, 3, 4, 4, 2, 3, 2, 2, 2, 3, 1, 3, 4, 2, 3, 2, 3, 4, 1, 3, 1, 2, 0, 0, 1, 2, 4, 3, 4, 0, 3, 1, 4, 4, 3, 4, 0, 0, 1, 0, 3, 0, 4, 1, 2, 2, 2, 3, 3, 2, 2, 1, 4, 4, 1, 3, 4, 0, 2, 4, 0, 2, 1, 4, 2, 4, 0, 2, 0, 0, 1, 1, 4, 2, 4, 1, 3, 4, 0, 2, 4, 1, 3, 2, 0, 3, 3, 0, 2, 1, 3, 2, 0, 0, 1, 2, 4, 4, 2, 3, 1, 2, 3, 0, 3, 2, 3, 3, 0, 2, 4, 2, 4, 2, 3, 4, 0, 1, 1, 2, 4, 3, 1, 3, 1, 1, 4] pubkeycol640 = [1, 3, 3, 2, 2, 1, 3, 3, 0, 1, 0, 2, 1, 2, 0, 4, 1, 2, 0, 3, 0, 3, 2, 1, 0, 0, 2, 3, 4, 3, 2, 3, 3, 3, 1, 1, 3, 3, 4, 4, 1, 0, 1, 3, 0, 3, 0, 2, 1, 2, 3, 1, 1, 0, 1, 0, 2, 4, 0, 1, 3, 4, 4, 4, 1, 1, 2, 1, 0, 3, 4, 4, 1, 0, 4, 3, 0, 2, 3, 2, 2, 4, 4, 3, 3, 3, 1, 3, 4, 4, 1, 0, 1, 0, 3, 4, 4, 0, 1, 3, 0, 4, 3, 2, 0, 1, 3, 3, 3, 1, 0, 4, 2, 1, 2, 3, 2, 4, 3, 0, 0, 0, 3, 0, 3, 4, 2, 2, 3, 1, 1, 1, 4, 0, 2, 4, 3, 3, 0, 3, 1, 3, 4, 3, 4, 0, 4, 3, 3, 1, 2, 3, 0, 4, 4, 3, 2, 1, 3, 3, 1, 2, 3, 0, 3, 4, 0, 3, 2, 3, 1, 2, 4, 0, 4, 0, 2, 3, 4, 4, 1, 4, 0, 2, 2, 0, 4, 4, 2, 4, 2, 2, 2, 3, 4, 2, 2, 0, 3, 3, 4, 4, 3, 0, 4, 4, 3, 4, 1, 0, 3, 4, 3, 1, 1, 1, 2, 4, 1, 1, 2, 4, 1, 0, 2, 0, 0, 1, 1, 3, 1, 0, 2, 2, 3, 3, 4, 4, 4, 1, 0, 1, 4, 1, 3, 0, 1, 0, 2, 4, 3, 4, 3, 2, 3, 1, 2, 4, 1, 1, 3, 0, 3, 4, 4, 4, 3, 4, 1, 2, 0, 3, 2, 0, 4, 0, 0, 1, 2, 3, 3, 3, 0, 2, 1, 1, 3, 0, 4, 3, 4, 2, 2, 0, 3, 1, 1, 2, 3, 0, 1, 4, 4, 2, 2, 4, 2, 3, 3, 2, 3, 0, 0, 0, 0, 2, 2, 1, 3, 0, 4, 1, 4, 4, 4, 4, 3, 1, 4, 2, 4, 4, 0, 1, 2, 2, 2, 0, 4, 1, 3, 4, 1, 0, 3, 2, 1, 0, 2, 2, 4, 4, 3, 0, 2, 4, 4, 3, 0, 4, 0, 0, 2, 2, 4, 0, 1, 1, 4, 4, 3, 4, 3, 0, 2, 0, 4, 2, 0, 2, 1, 1, 3, 3, 4, 4, 1, 4, 4, 0, 0, 2, 2, 1, 0, 4, 4, 3, 1, 0] pubkeycol641 = [2, 1, 1, 3, 0, 0, 0, 0, 1, 1, 0, 3, 1, 4, 2, 4, 0, 1, 2, 0, 3, 1, 3, 0, 0, 2, 2, 0, 2, 3, 1, 3, 0, 4, 0, 2, 4, 4, 2, 2, 1, 4, 4, 3, 4, 2, 1, 2, 4, 1, 3, 3, 3, 3, 1, 0, 0, 1, 2, 2, 2, 4, 1, 0, 3, 0, 0, 2, 1, 0, 0, 4, 3, 2, 3, 4, 0, 3, 1, 4, 3, 3, 3, 0, 0, 2, 4, 0, 0, 2, 1, 4, 4, 3, 1, 3, 2, 4, 3, 3, 1, 2, 3, 1, 4, 2, 4, 0, 0, 2, 0, 0, 0, 4, 1, 4, 2, 1, 1, 3, 4, 1, 3, 0, 1, 3, 1, 1, 1, 2, 0, 2, 1, 2, 4, 2, 0, 4, 2, 4, 1, 3, 0, 3, 3, 1, 2, 3, 3, 3, 0, 4, 3, 2, 1, 0, 2, 2, 0, 2, 0, 3, 0, 4, 2, 0, 2, 2, 3, 4, 3, 1, 4, 1, 4, 3, 4, 3, 4, 1, 4, 0, 0, 3, 1, 3, 3, 2, 0, 3, 3, 1, 1, 4, 3, 4, 2, 3, 3, 4, 2, 0, 3, 3, 0, 3, 2, 3, 0, 2, 3, 1, 4, 1, 2, 2, 4, 3, 3, 3, 3, 1, 0, 0, 4, 4, 2, 2, 4, 1, 3, 1, 4, 2, 3, 0, 3, 4, 4, 2, 3, 2, 1, 0, 2, 4, 2, 2, 0, 0, 3, 3, 4, 2, 2, 0, 4, 4, 1, 1, 3, 4, 0, 4, 1, 2, 4, 2, 3, 3, 4, 0, 3, 4, 3, 2, 0, 2, 2, 4, 3, 4, 0, 0, 0, 4, 4, 2, 1, 1, 4, 0, 3, 4, 0, 1, 4, 2, 3, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 4, 3, 0, 3, 0, 2, 1, 3, 4, 1, 1, 3, 1, 0, 4, 4, 0, 3, 3, 0, 4, 1, 2, 2, 2, 4, 1, 0, 2, 4, 1, 0, 1, 0, 2, 0, 3, 2, 0, 2, 0, 3, 1, 0, 1, 1, 0, 1, 4, 1, 0, 4, 0, 3, 4, 4, 4, 0, 2, 4, 0, 1, 3, 4, 2, 3, 1, 1, 4, 4, 0, 3, 3, 3, 3, 4, 4, 4, 2, 4, 1, 3, 3, 0, 2, 4, 3, 2, 4, 2, 2] pubkeycol642 = [1, 0, 2, 1, 1, 3, 0, 0, 0, 2, 2, 4, 1, 0, 3, 2, 1, 1, 3, 0, 2, 2, 0, 1, 4, 4, 3, 2, 0, 2, 4, 3, 3, 4, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 4, 3, 2, 2, 3, 4, 1, 0, 2, 4, 2, 4, 3, 3, 3, 1, 1, 4, 4, 0, 4, 2, 4, 0, 4, 3, 0, 3, 0, 1, 0, 2, 1, 3, 4, 3, 1, 0, 1, 4, 3, 1, 3, 2, 1, 4, 1, 3, 3, 1, 2, 4, 3, 0, 0, 3, 1, 1, 0, 0, 0, 1, 3, 4, 3, 0, 1, 1, 3, 3, 3, 0, 4, 1, 3, 0, 4, 0, 0, 1, 3, 4, 4, 2, 1, 1, 2, 2, 4, 0, 4, 2, 2, 4, 2, 2, 2, 0, 3, 4, 1, 3, 3, 1, 4, 1, 0, 2, 0, 1, 3, 2, 3, 3, 0, 2, 0, 2, 4, 4, 2, 0, 3, 1, 3, 4, 0, 1, 1, 1, 3, 2, 0, 0, 2, 0, 0, 0, 2, 3, 1, 4, 1, 1, 1, 0, 4, 2, 1, 0, 2, 1, 1, 3, 2, 2, 0, 4, 2, 1, 3, 1, 0, 3, 0, 3, 4, 0, 1, 3, 1, 0, 1, 2, 0, 0, 1, 2, 2, 3, 2, 3, 1, 0, 2, 2, 0, 1, 4, 4, 0, 4, 1, 4, 0, 0, 4, 4, 1, 1, 3, 0, 3, 0, 4, 0, 0, 4, 2, 2, 4, 2, 4, 4, 4, 0, 4, 0, 0, 2, 0, 0, 3, 2, 2, 4, 0, 0, 2, 0, 1, 3, 0, 4, 2, 2, 2, 3, 0, 1, 4, 3, 0, 0, 4, 2, 0, 3, 4, 2, 4, 0, 0, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 3, 4, 1, 0, 2, 0, 4, 1, 0, 4, 0, 1, 0, 0, 0, 2, 3, 4, 1, 2, 0, 4, 2, 4, 0, 4, 2, 0, 2, 0, 2, 4, 4, 3, 3, 4, 1, 3, 3, 2, 2, 1, 0, 2, 3, 3, 1, 2, 2, 4, 3, 0, 2, 0, 4, 2, 1, 1, 0, 1, 1, 3, 3, 2, 1, 2, 0, 4, 3, 4, 4, 2, 1, 0, 0, 1, 1, 2, 4, 1, 2, 0, 1, 4, 2, 4, 3, 4, 3, 1, 4, 0] pubkeycol643 = [4, 0, 2, 4, 1, 1, 0, 1, 4, 3, 0, 3, 4, 1, 4, 4, 1, 0, 3, 1, 2, 2, 3, 1, 3, 3, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 4, 0, 1, 0, 2, 0, 0, 2, 0, 3, 1, 3, 4, 0, 2, 3, 3, 2, 3, 0, 1, 4, 0, 3, 1, 3, 0, 2, 0, 2, 4, 3, 2, 1, 1, 4, 1, 1, 0, 1, 2, 1, 2, 3, 3, 4, 0, 1, 4, 3, 4, 3, 3, 4, 1, 3, 4, 0, 2, 3, 0, 1, 4, 2, 0, 4, 3, 1, 4, 4, 1, 0, 1, 3, 3, 0, 0, 4, 0, 0, 3, 2, 3, 4, 3, 0, 0, 3, 0, 4, 2, 4, 0, 0, 3, 2, 2, 4, 4, 2, 3, 2, 2, 1, 2, 1, 4, 4, 0, 3, 0, 4, 3, 0, 3, 0, 3, 4, 3, 0, 1, 4, 1, 0, 3, 2, 1, 0, 1, 0, 2, 4, 1, 4, 2, 2, 1, 3, 4, 1, 0, 2, 4, 3, 0, 3, 0, 0, 0, 4, 2, 3, 0, 0, 4, 0, 2, 1, 4, 1, 1, 2, 2, 4, 0, 0, 1, 2, 2, 0, 3, 1, 2, 0, 2, 0, 4, 4, 1, 4, 2, 3, 2, 1, 4, 4, 0, 0, 1, 0, 4, 0, 4, 3, 4, 2, 3, 2, 2, 1, 4, 2, 1, 4, 0, 0, 1, 1, 3, 2, 2, 2, 2, 3, 0, 3, 4, 4, 4, 4, 3, 2, 4, 1, 0, 2, 3, 0, 4, 1, 3, 3, 1, 1, 2, 1, 1, 4, 1, 0, 3, 2, 2, 4, 2, 0, 3, 4, 2, 4, 0, 1, 1, 3, 1, 1, 2, 2, 3, 4, 0, 2, 1, 2, 4, 0, 2, 3, 4, 3, 3, 1, 3, 0, 2, 0, 4, 2, 3, 2, 1, 2, 4, 4, 0, 3, 2, 3, 2, 0, 1, 2, 4, 0, 0, 2, 2, 4, 1, 4, 2, 3, 1, 3, 0, 1, 0, 3, 3, 0, 3, 3, 2, 2, 4, 0, 0, 2, 2, 2, 2, 4, 1, 0, 1, 1, 3, 4, 2, 3, 3, 4, 1, 2, 3, 3, 3, 4, 3, 1, 0, 1, 1, 0, 1, 4, 1, 2, 2, 2, 2, 4, 0, 4, 3, 1, 2, 3, 1, 2] pubkeycol644 = [1, 2, 1, 3, 0, 4, 2, 3, 1, 2, 4, 1, 3, 0, 1, 3, 0, 1, 4, 3, 1, 4, 0, 4, 2, 0, 0, 4, 4, 3, 3, 3, 1, 3, 4, 1, 3, 1, 2, 2, 2, 0, 3, 2, 3, 3, 1, 4, 3, 4, 4, 4, 3, 2, 2, 2, 2, 3, 2, 0, 0, 4, 1, 2, 1, 1, 4, 1, 4, 3, 2, 4, 1, 4, 3, 4, 3, 0, 1, 1, 4, 0, 3, 4, 3, 3, 2, 3, 4, 1, 0, 2, 4, 3, 1, 4, 4, 4, 2, 4, 2, 4, 1, 3, 3, 0, 1, 3, 0, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 4, 4, 3, 1, 3, 3, 2, 0, 3, 2, 1, 2, 4, 2, 1, 4, 1, 4, 4, 2, 2, 1, 2, 3, 2, 4, 2, 0, 3, 1, 2, 1, 0, 1, 1, 1, 3, 1, 2, 0, 0, 3, 0, 2, 1, 3, 1, 0, 2, 1, 3, 1, 1, 2, 0, 1, 1, 3, 1, 2, 1, 1, 1, 3, 4, 4, 1, 3, 3, 0, 4, 1, 0, 2, 1, 1, 2, 3, 4, 0, 1, 4, 1, 4, 3, 3, 0, 2, 3, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 3, 1, 0, 1, 1, 4, 4, 1, 2, 0, 4, 3, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 3, 3, 0, 3, 4, 4, 1, 0, 3, 2, 2, 0, 2, 4, 1, 1, 1, 2, 4, 4, 3, 4, 2, 1, 3, 2, 1, 0, 4, 0, 4, 1, 4, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 3, 0, 2, 0, 4, 4, 2, 1, 3, 2, 4, 3, 0, 1, 2, 4, 2, 0, 2, 1, 3, 0, 2, 1, 2, 2, 1, 4, 1, 1, 3, 4, 2, 3, 4, 4, 3, 3, 3, 2, 3, 1, 1, 3, 0, 2, 1, 0, 4, 3, 2, 3, 3, 0, 2, 4, 3, 1, 4, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 3, 2, 2, 3, 0, 1, 3, 2, 4, 1, 0, 1, 2, 3, 1, 1, 1, 4, 4, 1, 3, 2, 4, 4, 3, 4, 3, 2, 4, 4, 3, 2, 2, 3, 0, 0, 4, 4, 1, 0, 4, 3, 4, 2] pubkeycol645 = [4, 3, 2, 1, 3, 2, 3, 2, 4, 3, 4, 1, 3, 3, 0, 4, 2, 4, 0, 4, 4, 4, 2, 0, 3, 2, 3, 0, 2, 2, 2, 2, 0, 0, 1, 3, 3, 3, 2, 0, 0, 3, 3, 1, 0, 2, 0, 3, 2, 4, 1, 4, 0, 1, 1, 1, 3, 4, 4, 0, 0, 1, 4, 1, 3, 0, 2, 0, 3, 2, 1, 3, 3, 0, 1, 3, 4, 3, 2, 4, 0, 2, 2, 0, 0, 4, 1, 2, 1, 1, 2, 2, 4, 3, 2, 0, 4, 2, 2, 4, 2, 3, 4, 0, 1, 4, 1, 2, 4, 2, 2, 4, 3, 1, 1, 1, 4, 0, 1, 0, 3, 0, 0, 1, 0, 2, 2, 3, 4, 4, 1, 3, 4, 2, 2, 4, 0, 3, 3, 2, 4, 4, 3, 0, 0, 0, 1, 1, 4, 3, 2, 1, 3, 0, 4, 1, 4, 0, 0, 1, 4, 1, 4, 1, 4, 0, 3, 0, 3, 0, 2, 3, 1, 1, 4, 0, 2, 0, 1, 0, 4, 0, 1, 3, 3, 4, 1, 3, 4, 0, 3, 1, 2, 0, 1, 2, 0, 3, 3, 1, 4, 4, 1, 0, 4, 1, 2, 0, 1, 3, 3, 4, 4, 4, 3, 0, 3, 4, 4, 2, 0, 3, 3, 4, 3, 0, 0, 0, 2, 3, 0, 0, 0, 2, 3, 0, 3, 0, 3, 0, 3, 2, 1, 0, 1, 3, 4, 3, 2, 0, 2, 2, 0, 2, 3, 0, 0, 1, 3, 0, 3, 0, 1, 4, 0, 3, 4, 4, 3, 2, 0, 4, 3, 4, 4, 1, 2, 4, 2, 4, 2, 4, 2, 4, 1, 4, 4, 3, 1, 3, 0, 1, 4, 0, 2, 3, 0, 2, 3, 3, 0, 0, 2, 3, 0, 0, 3, 4, 1, 1, 2, 1, 1, 4, 3, 3, 4, 4, 0, 4, 4, 1, 4, 1, 2, 0, 3, 0, 1, 4, 1, 3, 2, 1, 3, 4, 0, 3, 3, 2, 4, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3, 1, 4, 4, 4, 0, 4, 0, 4, 0, 4, 3, 0, 0, 3, 1, 0, 2, 3, 1, 2, 1, 4, 3, 1, 1, 0, 1, 2, 3, 2, 4, 2, 1, 2, 4, 2, 0, 3, 4, 1, 0, 2, 2, 3, 3, 0, 2] pubkeycol646 = [3, 2, 3, 1, 1, 2, 3, 1, 1, 4, 0, 4, 2, 0, 4, 3, 4, 1, 1, 1, 0, 4, 0, 2, 2, 1, 3, 4, 3, 1, 0, 1, 0, 1, 4, 1, 3, 2, 3, 0, 0, 3, 4, 4, 3, 2, 2, 2, 0, 1, 2, 2, 1, 2, 4, 0, 3, 2, 0, 2, 2, 2, 3, 1, 4, 4, 0, 2, 3, 2, 3, 2, 3, 4, 4, 1, 3, 1, 1, 4, 0, 0, 3, 1, 0, 2, 2, 3, 4, 1, 2, 4, 2, 3, 3, 4, 3, 1, 4, 0, 1, 2, 4, 2, 3, 0, 3, 4, 1, 4, 3, 2, 0, 4, 2, 3, 3, 1, 4, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 4, 4, 3, 3, 0, 4, 4, 3, 3, 3, 3, 3, 1, 3, 0, 3, 0, 2, 0, 2, 0, 0, 1, 2, 3, 1, 3, 1, 4, 2, 1, 2, 1, 0, 4, 1, 0, 0, 3, 3, 2, 4, 1, 0, 2, 2, 2, 2, 4, 1, 1, 2, 1, 3, 2, 0, 0, 3, 1, 0, 3, 3, 4, 0, 0, 0, 4, 1, 0, 4, 0, 4, 3, 3, 1, 1, 0, 3, 1, 4, 4, 2, 0, 3, 3, 4, 2, 2, 1, 0, 2, 2, 4, 4, 4, 1, 2, 4, 1, 4, 4, 0, 2, 4, 1, 2, 0, 4, 0, 2, 4, 0, 0, 0, 3, 3, 1, 0, 0, 0, 2, 1, 3, 2, 3, 1, 2, 3, 2, 3, 4, 2, 4, 4, 2, 2, 4, 4, 4, 1, 2, 1, 3, 0, 1, 0, 3, 4, 1, 1, 1, 0, 1, 2, 0, 1, 3, 4, 3, 3, 1, 3, 2, 1, 1, 4, 3, 0, 4, 4, 0, 1, 0, 2, 1, 3, 0, 3, 0, 2, 1, 1, 3, 0, 3, 0, 0, 1, 2, 4, 0, 2, 1, 2, 2, 1, 2, 3, 2, 1, 0, 0, 2, 0, 4, 3, 3, 3, 3, 3, 4, 2, 2, 4, 4, 2, 4, 4, 0, 4, 1, 1, 1, 1, 0, 4, 0, 0, 4, 4, 0, 3, 3, 3, 3, 3, 1, 0, 1, 0, 0, 4, 2, 1, 1, 3, 0, 1, 1, 0, 0, 2, 4, 0, 1, 0, 2, 1, 3, 0, 3, 4, 1, 0, 0, 1, 0, 2, 2, 4, 1] pubkeycol647 = [0, 3, 3, 3, 4, 1, 4, 0, 3, 2, 1, 2, 1, 3, 4, 0, 3, 0, 2, 2, 3, 0, 3, 0, 4, 3, 4, 2, 1, 4, 1, 4, 2, 2, 3, 1, 3, 1, 2, 0, 4, 4, 4, 1, 3, 2, 0, 3, 4, 2, 2, 1, 4, 1, 0, 1, 4, 4, 2, 3, 1, 3, 0, 1, 0, 1, 3, 2, 2, 1, 2, 4, 4, 4, 3, 1, 4, 2, 3, 1, 4, 1, 2, 3, 1, 4, 3, 2, 3, 3, 4, 2, 1, 1, 2, 0, 0, 1, 4, 0, 1, 3, 4, 3, 4, 4, 4, 0, 1, 0, 0, 0, 2, 2, 1, 3, 1, 1, 4, 1, 3, 2, 4, 1, 4, 0, 0, 2, 4, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 4, 4, 0, 1, 0, 1, 4, 1, 3, 4, 2, 4, 0, 1, 0, 2, 2, 4, 4, 4, 4, 3, 4, 1, 2, 2, 1, 4, 2, 4, 0, 0, 3, 4, 1, 1, 0, 3, 0, 1, 1, 4, 3, 3, 4, 3, 0, 0, 4, 1, 2, 1, 4, 2, 1, 2, 0, 1, 0, 1, 1, 3, 1, 3, 4, 4, 4, 3, 0, 3, 2, 4, 4, 2, 4, 4, 2, 1, 0, 3, 4, 3, 2, 2, 0, 2, 4, 1, 3, 1, 1, 2, 3, 1, 0, 2, 1, 0, 0, 3, 3, 1, 1, 2, 0, 1, 3, 3, 4, 1, 2, 3, 0, 0, 2, 4, 3, 0, 4, 3, 3, 3, 2, 2, 1, 1, 2, 2, 1, 2, 3, 2, 3, 2, 2, 2, 3, 4, 2, 4, 3, 0, 3, 4, 3, 1, 4, 2, 1, 3, 4, 3, 0, 2, 4, 4, 3, 3, 4, 1, 4, 3, 1, 3, 3, 4, 3, 3, 3, 3, 1, 0, 2, 4, 2, 0, 1, 4, 2, 4, 1, 1, 0, 0, 3, 4, 2, 2, 4, 0, 0, 4, 4, 3, 4, 4, 1, 3, 4, 1, 0, 0, 3, 4, 4, 1, 0, 4, 2, 0, 4, 2, 1, 2, 4, 0, 3, 3, 3, 0, 3, 0, 0, 4, 4, 4, 4, 0, 1, 0, 4, 3, 1, 2, 4, 4, 3, 4, 1, 2, 2, 1, 4, 0, 3, 0, 0, 4, 2, 4, 4, 4, 3, 4, 3, 0, 1, 3, 3, 3] pubkeycol648 = [3, 0, 2, 2, 0, 4, 2, 0, 2, 0, 1, 3, 3, 3, 0, 0, 4, 0, 3, 1, 1, 4, 0, 0, 2, 3, 2, 0, 1, 2, 3, 1, 3, 3, 1, 2, 2, 3, 1, 4, 4, 4, 3, 2, 4, 1, 3, 4, 4, 2, 3, 1, 3, 3, 4, 0, 3, 3, 1, 4, 1, 3, 1, 3, 0, 2, 0, 4, 4, 1, 4, 0, 4, 4, 0, 2, 4, 4, 0, 1, 0, 2, 1, 1, 4, 1, 3, 0, 2, 1, 0, 1, 0, 4, 3, 2, 3, 3, 2, 3, 1, 0, 2, 4, 3, 3, 2, 1, 4, 0, 0, 1, 4, 3, 1, 3, 3, 0, 0, 0, 4, 1, 2, 2, 1, 4, 2, 3, 4, 0, 3, 2, 2, 1, 2, 0, 2, 4, 2, 3, 4, 0, 0, 3, 0, 2, 4, 2, 3, 0, 1, 3, 0, 3, 3, 3, 4, 1, 2, 4, 2, 2, 2, 0, 2, 4, 1, 3, 4, 3, 4, 3, 0, 2, 4, 2, 3, 3, 1, 0, 1, 0, 2, 1, 1, 3, 3, 0, 1, 4, 3, 4, 3, 4, 3, 1, 0, 4, 1, 0, 1, 2, 1, 4, 2, 1, 3, 3, 3, 0, 1, 1, 3, 0, 0, 4, 1, 3, 1, 2, 1, 0, 0, 3, 0, 4, 0, 1, 4, 4, 2, 0, 0, 3, 0, 1, 3, 4, 3, 1, 2, 3, 0, 4, 4, 0, 1, 3, 3, 2, 4, 4, 1, 0, 3, 1, 4, 1, 0, 4, 0, 2, 2, 3, 1, 2, 1, 0, 3, 1, 1, 4, 3, 3, 3, 0, 0, 4, 1, 4, 2, 4, 4, 2, 3, 4, 3, 2, 4, 4, 2, 0, 2, 1, 4, 4, 4, 0, 4, 1, 1, 3, 2, 0, 4, 4, 2, 0, 1, 3, 2, 4, 1, 1, 2, 2, 3, 1, 2, 4, 1, 1, 3, 3, 4, 1, 2, 1, 1, 4, 0, 1, 0, 2, 4, 0, 2, 4, 0, 4, 0, 0, 3, 1, 4, 4, 1, 3, 2, 0, 0, 1, 2, 2, 0, 0, 4, 4, 1, 1, 2, 0, 4, 0, 1, 0, 3, 2, 4, 2, 0, 4, 2, 3, 3, 4, 1, 1, 1, 1, 0, 2, 2, 2, 3, 0, 3, 2, 2, 2, 2, 3, 4, 3, 3, 0, 4, 1, 0, 1] pubkeycol649 = [4, 3, 0, 2, 3, 1, 4, 1, 3, 3, 4, 1, 4, 1, 3, 2, 4, 3, 1, 3, 2, 3, 4, 4, 0, 3, 2, 4, 2, 4, 2, 3, 2, 4, 4, 2, 3, 4, 2, 4, 4, 0, 0, 2, 3, 3, 4, 2, 0, 2, 0, 2, 1, 0, 3, 0, 4, 4, 3, 1, 3, 1, 1, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 0, 4, 0, 2, 0, 2, 4, 1, 4, 1, 3, 0, 2, 1, 4, 0, 2, 0, 1, 0, 1, 4, 1, 1, 4, 1, 4, 0, 3, 0, 2, 4, 3, 4, 4, 1, 1, 4, 1, 0, 2, 4, 1, 1, 3, 3, 3, 1, 4, 0, 3, 0, 2, 2, 1, 4, 3, 4, 2, 2, 4, 2, 0, 2, 3, 1, 1, 3, 4, 2, 3, 1, 1, 1, 2, 0, 4, 0, 4, 0, 1, 1, 3, 1, 3, 3, 4, 3, 4, 2, 2, 3, 3, 1, 1, 2, 0, 0, 4, 2, 1, 2, 2, 0, 4, 0, 1, 3, 4, 4, 4, 4, 2, 3, 1, 2, 1, 4, 2, 4, 2, 3, 0, 1, 3, 1, 4, 3, 4, 4, 1, 3, 0, 1, 3, 4, 1, 3, 3, 1, 2, 1, 1, 1, 3, 1, 2, 4, 2, 2, 0, 3, 1, 2, 4, 4, 3, 2, 1, 2, 1, 2, 2, 4, 4, 2, 3, 3, 4, 1, 3, 0, 1, 1, 0, 4, 2, 3, 2, 2, 1, 0, 1, 0, 2, 0, 4, 4, 0, 1, 3, 0, 0, 4, 0, 3, 2, 2, 2, 1, 3, 3, 2, 0, 4, 1, 3, 1, 2, 4, 4, 2, 2, 4, 1, 2, 1, 3, 0, 4, 2, 3, 0, 0, 1, 1, 4, 2, 4, 4, 1, 2, 4, 3, 3, 0, 3, 4, 4, 4, 4, 0, 3, 4, 4, 2, 3, 4, 3, 1, 3, 0, 2, 0, 4, 2, 0, 2, 2, 2, 3, 3, 3, 0, 2, 3, 2, 4, 3, 0, 1, 1, 3, 0, 2, 3, 1, 1, 3, 3, 2, 0, 2, 0, 2, 0, 3, 4, 3, 2, 4, 4, 2, 3, 3, 4, 4, 0, 1, 0, 0, 4, 4, 1, 4, 4, 2, 2, 2, 2, 2, 0, 1, 4, 4, 0, 2, 4, 3, 2, 4, 4, 2, 1, 2] pubkeycol650 = [0, 4, 2, 4, 0, 4, 0, 1, 0, 3, 0, 1, 0, 4, 2, 2, 1, 1, 4, 4, 3, 1, 1, 0, 0, 1, 4, 4, 1, 0, 1, 2, 2, 4, 3, 2, 4, 4, 4, 0, 3, 0, 4, 0, 0, 2, 1, 0, 1, 0, 1, 3, 4, 1, 4, 1, 4, 2, 0, 2, 0, 2, 0, 3, 0, 2, 3, 2, 1, 3, 3, 3, 2, 3, 0, 3, 2, 1, 1, 2, 0, 1, 1, 3, 4, 1, 2, 2, 3, 1, 4, 4, 4, 4, 0, 2, 4, 0, 0, 1, 3, 2, 2, 1, 2, 2, 3, 0, 2, 1, 4, 1, 0, 1, 2, 4, 3, 2, 2, 2, 0, 4, 4, 3, 3, 4, 2, 2, 2, 3, 3, 1, 4, 2, 1, 1, 0, 1, 2, 3, 4, 0, 4, 1, 4, 3, 4, 1, 1, 0, 2, 2, 2, 3, 4, 2, 0, 3, 3, 1, 4, 0, 0, 1, 2, 2, 2, 0, 4, 2, 4, 2, 3, 0, 0, 0, 2, 0, 0, 4, 1, 4, 0, 3, 3, 1, 2, 0, 4, 1, 2, 4, 1, 1, 3, 0, 3, 3, 0, 1, 1, 2, 2, 4, 1, 0, 4, 3, 4, 0, 3, 0, 4, 4, 0, 3, 0, 4, 2, 2, 4, 3, 2, 3, 0, 2, 0, 4, 1, 4, 4, 4, 0, 1, 1, 2, 3, 2, 0, 4, 2, 1, 4, 2, 1, 3, 2, 2, 2, 2, 3, 1, 2, 4, 0, 1, 3, 1, 2, 1, 2, 4, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 3, 3, 3, 1, 1, 3, 0, 3, 1, 2, 1, 3, 0, 1, 2, 0, 3, 4, 1, 3, 2, 0, 4, 1, 0, 2, 2, 1, 1, 1, 0, 0, 3, 3, 4, 2, 0, 0, 1, 0, 4, 2, 4, 2, 3, 1, 1, 4, 1, 3, 3, 0, 4, 3, 0, 2, 1, 4, 3, 0, 0, 0, 4, 2, 2, 0, 1, 1, 1, 3, 3, 3, 4, 2, 2, 4, 2, 2, 0, 1, 4, 1, 4, 3, 3, 0, 0, 1, 4, 0, 3, 2, 4, 1, 0, 2, 4, 1, 1, 4, 0, 1, 0, 2, 3, 1, 2, 1, 3, 4, 1, 1, 2, 1, 3, 2, 2, 0, 1, 4, 4, 0, 1, 0, 4, 2, 0, 0] pubkeycol651 = [0, 3, 3, 0, 3, 3, 4, 3, 4, 3, 4, 4, 1, 0, 2, 0, 1, 0, 3, 2, 1, 1, 2, 3, 0, 3, 2, 0, 4, 1, 4, 3, 1, 3, 3, 2, 1, 4, 2, 2, 4, 1, 2, 2, 0, 4, 1, 3, 0, 2, 2, 4, 4, 1, 2, 1, 1, 4, 2, 3, 4, 1, 0, 4, 4, 1, 1, 2, 3, 0, 3, 1, 1, 2, 3, 4, 1, 4, 2, 4, 0, 4, 3, 0, 3, 3, 0, 2, 0, 3, 4, 4, 2, 2, 4, 0, 2, 1, 1, 3, 1, 0, 2, 0, 1, 3, 0, 3, 2, 2, 0, 0, 2, 4, 1, 3, 0, 0, 1, 1, 0, 2, 4, 4, 0, 2, 1, 3, 0, 1, 0, 1, 1, 4, 2, 0, 1, 2, 3, 3, 0, 4, 1, 2, 1, 3, 4, 4, 3, 2, 2, 0, 4, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 0, 2, 4, 2, 3, 4, 2, 2, 2, 1, 1, 4, 2, 3, 3, 1, 3, 4, 3, 0, 0, 0, 4, 1, 3, 0, 2, 2, 3, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 3, 2, 4, 3, 1, 0, 2, 2, 0, 1, 3, 0, 4, 3, 2, 4, 4, 4, 4, 2, 0, 1, 3, 4, 2, 2, 3, 3, 2, 2, 4, 1, 0, 2, 3, 2, 2, 4, 0, 0, 1, 0, 4, 2, 2, 4, 0, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 0, 1, 4, 0, 3, 0, 1, 2, 2, 0, 1, 3, 0, 4, 0, 3, 0, 1, 1, 4, 0, 4, 3, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 3, 2, 4, 0, 0, 2, 0, 4, 4, 1, 2, 1, 1, 2, 1, 0, 4, 1, 3, 3, 2, 1, 0, 3, 4, 0, 4, 4, 3, 3, 1, 4, 4, 1, 4, 4, 4, 3, 4, 2, 4, 2, 1, 1, 1, 0, 3, 0, 4, 3, 0, 0, 3, 0, 0, 2, 0, 4, 4, 4, 0, 4, 0, 1, 3, 4, 0, 0, 0, 0, 4, 4, 2, 2, 2, 3, 0, 4, 0, 1, 0, 3, 4, 0, 0, 1, 3, 0, 4, 3, 1, 1, 3, 2, 3, 4, 3, 0, 4, 3, 2, 4, 0, 0] pubkeycol652 = [3, 3, 4, 0, 3, 0, 3, 2, 4, 1, 0, 3, 4, 1, 0, 0, 4, 3, 3, 1, 1, 2, 3, 1, 0, 3, 2, 1, 1, 3, 3, 4, 4, 0, 3, 2, 3, 4, 0, 2, 0, 3, 4, 3, 0, 4, 1, 3, 1, 4, 0, 4, 2, 3, 3, 3, 4, 1, 1, 1, 3, 0, 3, 0, 4, 1, 0, 3, 1, 3, 4, 4, 2, 4, 0, 3, 0, 1, 4, 2, 0, 0, 3, 0, 2, 0, 0, 0, 4, 3, 2, 1, 2, 1, 3, 1, 4, 3, 2, 4, 1, 3, 0, 2, 1, 2, 1, 0, 0, 2, 3, 1, 0, 4, 3, 0, 4, 1, 0, 3, 1, 4, 0, 0, 1, 0, 1, 2, 3, 2, 1, 3, 2, 0, 3, 0, 2, 3, 3, 1, 0, 4, 2, 2, 2, 0, 0, 2, 2, 1, 3, 4, 0, 3, 3, 0, 1, 1, 1, 1, 4, 2, 4, 2, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 3, 0, 1, 2, 3, 4, 4, 1, 3, 3, 1, 0, 4, 3, 2, 4, 0, 0, 0, 0, 2, 4, 1, 2, 4, 3, 3, 0, 0, 2, 4, 1, 4, 2, 1, 0, 1, 0, 3, 2, 0, 0, 2, 4, 1, 0, 4, 3, 3, 1, 1, 0, 2, 4, 1, 1, 2, 1, 4, 2, 2, 2, 0, 1, 1, 2, 3, 0, 2, 2, 3, 0, 1, 0, 3, 3, 3, 1, 2, 2, 0, 2, 1, 3, 1, 0, 0, 2, 1, 0, 4, 2, 2, 4, 1, 4, 1, 0, 0, 1, 4, 1, 3, 1, 0, 1, 2, 4, 3, 1, 0, 1, 0, 0, 3, 0, 0, 3, 3, 2, 4, 1, 2, 3, 4, 2, 3, 3, 4, 1, 4, 1, 1, 4, 0, 0, 0, 0, 1, 4, 1, 0, 3, 0, 2, 4, 0, 4, 0, 3, 0, 2, 2, 0, 3, 3, 1, 2, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 3, 4, 1, 2, 0, 2, 3, 3, 0, 3, 4, 4, 2, 3, 0, 3, 1, 0, 3, 0, 3, 0, 1, 1, 4, 4, 3, 3, 2, 4, 3, 1, 2, 2, 1, 0, 0, 1, 4, 2, 0, 1, 1, 0, 3, 2, 1, 2, 2, 4, 3, 2, 3, 2, 0, 2, 0, 4] pubkeycol653 = [3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 0, 0, 0, 4, 2, 0, 2, 0, 3, 1, 2, 1, 2, 2, 1, 2, 3, 1, 3, 1, 2, 1, 3, 3, 1, 1, 3, 1, 4, 2, 0, 3, 1, 3, 0, 3, 2, 2, 1, 0, 3, 1, 4, 2, 3, 2, 4, 1, 3, 4, 0, 0, 3, 3, 3, 1, 0, 3, 1, 2, 3, 0, 1, 3, 1, 2, 0, 3, 4, 3, 3, 3, 4, 3, 2, 1, 1, 0, 2, 2, 3, 3, 4, 1, 4, 4, 3, 4, 3, 0, 2, 2, 4, 1, 4, 2, 1, 1, 3, 4, 3, 2, 3, 1, 2, 4, 0, 0, 1, 3, 0, 4, 4, 1, 3, 2, 1, 2, 0, 2, 3, 4, 4, 2, 4, 2, 3, 2, 4, 2, 2, 0, 3, 3, 3, 0, 3, 3, 0, 3, 1, 3, 4, 4, 3, 4, 4, 4, 1, 4, 0, 1, 1, 3, 4, 2, 3, 0, 3, 4, 1, 1, 2, 1, 1, 1, 4, 0, 4, 2, 4, 4, 2, 4, 0, 1, 4, 2, 3, 0, 0, 3, 3, 1, 1, 2, 3, 1, 3, 0, 2, 4, 1, 0, 2, 0, 2, 2, 4, 1, 0, 4, 4, 0, 4, 1, 0, 0, 0, 2, 1, 0, 2, 3, 3, 2, 0, 3, 3, 0, 1, 3, 4, 2, 2, 4, 4, 4, 1, 0, 3, 0, 3, 4, 3, 4, 2, 4, 4, 3, 4, 2, 2, 3, 2, 1, 2, 4, 3, 4, 3, 2, 0, 4, 1, 0, 0, 4, 0, 0, 1, 3, 4, 2, 2, 3, 3, 4, 2, 1, 2, 0, 4, 1, 0, 2, 2, 2, 3, 2, 0, 3, 4, 4, 4, 2, 1, 2, 1, 4, 2, 2, 3, 1, 3, 1, 4, 1, 4, 3, 0, 0, 3, 4, 1, 4, 0, 3, 1, 2, 3, 4, 2, 3, 2, 0, 1, 4, 0, 1, 4, 3, 3, 1, 1, 3, 1, 1, 4, 0, 2, 2, 1, 4, 3, 4, 0, 2, 1, 4, 0, 4, 0, 3, 3, 4, 3, 3, 1, 4, 0, 4, 2, 0, 4, 1, 4, 0, 0, 0, 2, 3, 0, 3, 4, 2, 4, 1, 4, 4, 3, 3, 3, 3, 1, 0, 0, 1, 1, 3, 4, 3, 4, 2, 3, 4, 3, 0, 2] pubkeycol654 = [4, 4, 2, 2, 2, 0, 1, 1, 4, 2, 1, 1, 1, 4, 4, 2, 3, 4, 2, 4, 2, 2, 2, 1, 2, 3, 4, 4, 4, 0, 1, 4, 2, 1, 3, 2, 3, 4, 1, 2, 0, 4, 4, 2, 1, 2, 4, 1, 1, 1, 2, 2, 3, 4, 3, 2, 0, 0, 0, 1, 3, 3, 2, 1, 1, 4, 0, 1, 1, 3, 1, 1, 1, 3, 0, 0, 2, 3, 0, 4, 4, 1, 0, 4, 4, 1, 2, 4, 0, 4, 3, 1, 0, 0, 1, 3, 2, 2, 4, 2, 0, 4, 4, 2, 3, 2, 4, 2, 1, 3, 1, 1, 2, 1, 0, 3, 2, 1, 2, 2, 4, 2, 3, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 0, 1, 3, 1, 3, 3, 4, 1, 4, 3, 0, 3, 3, 4, 3, 4, 1, 1, 1, 2, 3, 2, 3, 3, 1, 2, 4, 2, 0, 1, 1, 3, 0, 4, 1, 2, 3, 2, 1, 0, 0, 0, 2, 0, 1, 0, 4, 3, 0, 3, 0, 0, 1, 0, 3, 1, 4, 2, 1, 2, 0, 2, 0, 2, 1, 4, 0, 4, 1, 4, 3, 2, 1, 1, 4, 3, 2, 0, 1, 2, 0, 4, 0, 3, 2, 2, 3, 3, 3, 1, 0, 4, 0, 3, 2, 4, 1, 0, 0, 4, 3, 0, 4, 3, 0, 4, 2, 4, 3, 3, 0, 0, 2, 2, 1, 4, 1, 0, 0, 0, 0, 3, 3, 3, 4, 2, 0, 2, 1, 3, 4, 3, 0, 4, 4, 2, 3, 4, 3, 0, 0, 1, 0, 1, 4, 1, 0, 3, 0, 1, 0, 2, 0, 2, 0, 4, 4, 2, 1, 1, 4, 2, 0, 4, 0, 2, 1, 0, 1, 0, 4, 2, 0, 3, 4, 1, 2, 4, 1, 0, 0, 4, 2, 2, 3, 4, 4, 4, 4, 0, 0, 0, 4, 4, 2, 2, 3, 2, 2, 1, 2, 0, 2, 0, 3, 3, 0, 0, 1, 3, 1, 3, 3, 3, 2, 3, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 4, 4, 1, 0, 4, 1, 0, 0, 1, 2, 4, 2, 3, 0, 1, 0, 0, 2, 0, 4, 3, 0, 0, 3, 0, 3, 4, 4, 0, 2, 0, 4, 3, 1, 3, 2, 3, 2, 1, 4, 4] pubkeycol655 = [1, 3, 1, 1, 4, 4, 4, 2, 4, 1, 1, 0, 2, 0, 2, 0, 1, 0, 3, 1, 2, 3, 4, 0, 0, 2, 2, 0, 1, 3, 2, 3, 1, 3, 3, 2, 2, 4, 0, 0, 0, 4, 4, 3, 3, 1, 2, 3, 1, 4, 3, 4, 3, 2, 3, 0, 3, 3, 2, 0, 1, 1, 3, 3, 4, 0, 0, 4, 1, 4, 4, 1, 2, 4, 1, 0, 2, 4, 4, 3, 0, 2, 2, 0, 2, 0, 2, 1, 4, 1, 4, 2, 0, 0, 2, 0, 0, 3, 1, 1, 3, 2, 3, 1, 2, 2, 1, 3, 1, 3, 3, 1, 3, 2, 2, 3, 3, 0, 0, 3, 4, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 4, 4, 2, 3, 1, 4, 3, 1, 4, 4, 1, 0, 3, 2, 1, 0, 1, 4, 0, 1, 2, 1, 0, 3, 4, 1, 1, 0, 3, 1, 4, 3, 0, 2, 3, 4, 1, 1, 0, 0, 4, 4, 1, 2, 4, 0, 3, 0, 4, 2, 2, 3, 0, 3, 2, 1, 0, 3, 2, 3, 2, 2, 0, 3, 2, 2, 0, 4, 2, 1, 2, 3, 4, 2, 1, 0, 0, 2, 4, 3, 2, 3, 3, 2, 4, 4, 1, 1, 0, 2, 0, 4, 3, 2, 4, 4, 1, 0, 3, 2, 2, 1, 3, 4, 4, 4, 1, 2, 3, 2, 1, 3, 1, 2, 3, 0, 0, 3, 2, 2, 3, 0, 3, 4, 2, 4, 4, 2, 3, 4, 0, 3, 1, 0, 0, 0, 2, 0, 1, 1, 3, 0, 4, 2, 3, 3, 1, 0, 1, 1, 2, 3, 3, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 4, 3, 1, 1, 1, 4, 2, 3, 0, 2, 0, 4, 2, 1, 1, 2, 0, 4, 1, 3, 4, 3, 0, 1, 2, 1, 3, 1, 3, 3, 2, 2, 2, 0, 1, 1, 2, 3, 1, 1, 1, 0, 0, 0, 3, 2, 1, 1, 3, 2, 4, 0, 1, 1, 3, 4, 3, 4, 4, 2, 0, 1, 1, 2, 2, 2, 3, 0, 4, 3, 1, 3, 3, 2, 3, 2, 4, 1, 3, 3, 4, 4, 1, 2, 0, 2, 3, 1, 4, 3, 3, 4, 0, 0, 1, 0, 1, 4] pubkeycol656 = [0, 1, 4, 4, 0, 3, 0, 1, 1, 3, 0, 4, 1, 2, 4, 3, 2, 4, 2, 0, 2, 0, 1, 0, 0, 4, 0, 4, 3, 1, 1, 1, 2, 4, 1, 2, 4, 3, 4, 2, 4, 3, 3, 3, 2, 1, 2, 3, 1, 0, 4, 0, 3, 2, 0, 2, 4, 3, 0, 1, 2, 4, 4, 4, 3, 2, 2, 1, 2, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 2, 4, 3, 4, 0, 2, 4, 2, 2, 1, 4, 0, 4, 3, 2, 4, 4, 1, 4, 3, 3, 4, 3, 1, 0, 3, 1, 0, 3, 0, 0, 2, 3, 0, 3, 1, 2, 1, 2, 2, 2, 4, 1, 4, 4, 2, 1, 0, 4, 4, 3, 2, 0, 3, 1, 2, 3, 3, 3, 0, 4, 1, 0, 3, 4, 0, 1, 3, 0, 4, 1, 4, 0, 0, 4, 0, 4, 1, 0, 1, 1, 2, 1, 0, 1, 1, 4, 0, 2, 3, 3, 0, 2, 2, 0, 1, 0, 1, 0, 4, 2, 3, 0, 4, 4, 3, 2, 3, 4, 2, 0, 2, 3, 0, 4, 1, 3, 3, 1, 4, 1, 3, 0, 1, 2, 2, 0, 4, 3, 0, 3, 2, 2, 3, 2, 3, 1, 2, 3, 1, 1, 2, 3, 0, 2, 2, 0, 2, 1, 4, 4, 2, 2, 1, 1, 1, 0, 4, 2, 1, 1, 1, 4, 4, 2, 3, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 4, 1, 2, 0, 1, 2, 1, 2, 4, 1, 2, 2, 2, 3, 0, 0, 3, 3, 0, 2, 1, 0, 4, 3, 2, 4, 0, 2, 1, 1, 3, 0, 0, 2, 4, 0, 2, 4, 1, 1, 0, 3, 0, 2, 2, 3, 1, 0, 2, 1, 2, 2, 1, 1, 0, 3, 0, 3, 0, 0, 4, 0, 0, 3, 1, 4, 0, 1, 2, 1, 4, 0, 0, 4, 2, 2, 0, 3, 0, 0, 0, 4, 4, 3, 4, 0, 3, 0, 4, 2, 1, 2, 1, 2, 2, 3, 3, 3, 1, 3, 0, 0, 3, 0, 3, 4, 4, 4, 0, 2, 1, 1, 0, 3, 0, 0, 0, 0, 1, 3, 3, 0, 2, 1, 3, 4, 2, 1, 2, 2, 1, 0, 4, 2, 2, 2, 4, 2, 1, 3, 4, 2, 0] pubkeycol657 = [4, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 3, 4, 2, 2, 1, 4, 3, 3, 0, 2, 1, 3, 4, 2, 3, 0, 1, 2, 2, 2, 1, 0, 1, 3, 1, 0, 0, 4, 2, 1, 3, 1, 0, 4, 4, 0, 3, 4, 0, 4, 3, 4, 3, 0, 0, 4, 4, 3, 1, 2, 3, 4, 0, 0, 1, 3, 2, 3, 3, 3, 2, 4, 2, 2, 2, 1, 0, 1, 1, 2, 4, 1, 1, 4, 4, 3, 1, 2, 3, 3, 0, 1, 4, 1, 1, 4, 3, 1, 3, 1, 2, 1, 3, 2, 4, 3, 0, 2, 3, 1, 2, 0, 3, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 4, 3, 0, 3, 2, 4, 3, 0, 3, 0, 1, 0, 1, 4, 3, 2, 0, 1, 1, 1, 4, 4, 1, 3, 1, 0, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 3, 0, 2, 4, 3, 2, 2, 2, 0, 4, 0, 2, 4, 4, 3, 1, 2, 4, 1, 2, 4, 1, 3, 0, 2, 0, 1, 1, 3, 2, 3, 3, 3, 4, 0, 1, 0, 3, 1, 4, 4, 3, 1, 3, 2, 3, 3, 2, 2, 3, 3, 2, 1, 4, 4, 1, 0, 4, 0, 4, 3, 4, 2, 3, 2, 4, 4, 2, 0, 4, 4, 2, 3, 2, 3, 2, 3, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 4, 3, 0, 2, 3, 1, 0, 0, 4, 0, 0, 2, 1, 1, 2, 3, 0, 4, 1, 0, 1, 4, 0, 0, 3, 1, 1, 3, 2, 3, 3, 1, 3, 0, 3, 1, 2, 1, 0, 2, 2, 3, 3, 2, 0, 3, 4, 0, 2, 1, 4, 1, 0, 1, 2, 4, 4, 2, 1, 4, 3, 4, 3, 3, 2, 3, 4, 2, 3, 2, 4, 3, 1, 2, 1, 3, 0, 0, 4, 2, 1, 2, 4, 1, 4, 4, 2, 1, 0, 0, 0, 4, 1, 4, 4, 3, 0, 1, 0, 3, 4, 1, 4, 1, 4, 1, 3, 3, 2, 0, 1, 1, 0, 2, 2, 0, 4, 1, 2, 4, 2, 1, 0, 4, 0, 0, 0, 3, 2, 1, 1, 1, 4, 3, 3, 3, 1, 4, 4, 1, 4, 4, 4, 1, 4, 0, 4, 2, 2] pubkeycol658 = [4, 2, 4, 1, 3, 1, 1, 0, 1, 4, 1, 0, 0, 0, 3, 1, 4, 3, 2, 4, 0, 4, 2, 4, 2, 0, 1, 3, 0, 3, 4, 4, 2, 1, 4, 0, 1, 1, 0, 1, 4, 0, 1, 0, 3, 3, 1, 0, 0, 1, 2, 1, 1, 3, 1, 1, 4, 2, 0, 3, 0, 3, 1, 3, 0, 4, 1, 3, 2, 3, 0, 4, 3, 4, 1, 2, 2, 2, 4, 4, 3, 2, 4, 0, 2, 1, 2, 3, 1, 1, 2, 0, 1, 3, 0, 1, 1, 2, 2, 2, 0, 3, 0, 3, 4, 4, 4, 1, 1, 1, 2, 0, 4, 1, 3, 2, 3, 2, 4, 4, 1, 1, 4, 1, 4, 2, 0, 1, 1, 0, 3, 0, 3, 4, 0, 1, 4, 4, 3, 4, 0, 0, 4, 0, 4, 4, 3, 0, 0, 2, 0, 0, 3, 4, 3, 0, 1, 0, 4, 2, 3, 4, 0, 2, 3, 1, 1, 2, 0, 2, 3, 1, 3, 2, 1, 0, 0, 2, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 4, 1, 1, 0, 2, 0, 0, 3, 3, 0, 1, 2, 0, 4, 1, 4, 3, 4, 3, 1, 4, 3, 2, 1, 3, 2, 2, 3, 1, 2, 0, 4, 3, 2, 2, 3, 3, 1, 1, 3, 2, 2, 1, 1, 0, 0, 3, 1, 4, 4, 1, 2, 1, 1, 0, 2, 2, 3, 0, 3, 2, 4, 3, 3, 4, 4, 4, 2, 0, 3, 1, 2, 4, 2, 3, 1, 0, 4, 1, 4, 3, 0, 3, 0, 0, 1, 2, 2, 4, 0, 4, 3, 4, 2, 1, 1, 4, 1, 2, 4, 2, 0, 3, 2, 1, 0, 1, 3, 3, 2, 3, 3, 4, 4, 4, 3, 0, 1, 3, 3, 0, 2, 1, 1, 2, 2, 0, 4, 0, 4, 2, 3, 1, 2, 3, 3, 2, 1, 4, 4, 2, 1, 2, 1, 0, 4, 4, 3, 2, 0, 1, 4, 1, 0, 1, 0, 2, 0, 2, 1, 4, 4, 1, 2, 0, 0, 0, 2, 4, 0, 3, 0, 0, 0, 3, 1, 2, 4, 2, 0, 0, 1, 3, 0, 4, 2, 1, 3, 2, 1, 1, 4, 4, 3, 2, 3, 2, 0, 0, 4, 2, 2, 4, 1, 3, 2, 1, 1, 4, 2, 4, 2] pubkeycol659 = [4, 4, 1, 4, 3, 2, 3, 2, 3, 0, 4, 1, 0, 2, 4, 2, 1, 4, 3, 2, 1, 1, 0, 0, 0, 4, 1, 2, 4, 2, 4, 3, 2, 1, 0, 3, 1, 2, 2, 2, 0, 1, 1, 3, 0, 2, 0, 3, 0, 3, 3, 1, 1, 4, 4, 3, 0, 2, 2, 3, 4, 3, 2, 0, 1, 2, 3, 1, 2, 0, 3, 0, 1, 4, 4, 3, 3, 0, 1, 3, 2, 2, 1, 3, 4, 3, 4, 3, 2, 4, 0, 1, 1, 1, 4, 0, 1, 4, 3, 3, 3, 0, 0, 4, 4, 2, 0, 3, 2, 3, 4, 0, 3, 0, 0, 0, 3, 4, 0, 0, 2, 2, 4, 0, 0, 2, 2, 1, 2, 1, 4, 2, 1, 3, 2, 0, 2, 0, 3, 4, 2, 4, 4, 1, 0, 4, 0, 0, 2, 1, 3, 0, 3, 0, 4, 1, 2, 0, 4, 0, 1, 3, 1, 0, 0, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 4, 1, 2, 4, 4, 2, 0, 3, 0, 4, 1, 4, 0, 4, 4, 1, 0, 0, 2, 3, 0, 2, 3, 3, 2, 1, 0, 2, 1, 4, 3, 0, 3, 3, 2, 2, 0, 1, 4, 1, 3, 0, 0, 4, 3, 0, 1, 0, 3, 4, 4, 3, 4, 3, 1, 1, 2, 3, 2, 2, 2, 0, 1, 3, 1, 3, 0, 1, 4, 1, 2, 4, 1, 0, 2, 0, 0, 3, 2, 1, 2, 4, 4, 0, 4, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 3, 4, 4, 0, 3, 2, 3, 4, 2, 0, 0, 2, 1, 1, 4, 1, 4, 2, 3, 4, 2, 0, 3, 0, 0, 4, 0, 3, 3, 1, 3, 4, 3, 2, 1, 3, 4, 0, 2, 4, 1, 1, 0, 1, 2, 4, 4, 0, 2, 0, 4, 1, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 0, 0, 0, 4, 0, 2, 1, 1, 1, 2, 1, 2, 0, 4, 3, 2, 0, 2, 0, 0, 2, 1, 4, 0, 3, 1, 3, 0, 1, 4, 2, 4, 1, 0, 0, 4, 1, 0, 4, 4, 2, 1, 0, 1, 0, 1, 3, 1, 0, 2, 0, 3, 0, 1, 1, 2, 4, 2, 2, 0, 1, 0, 4] pubkeycol660 = [4, 3, 1, 0, 0, 2, 4, 0, 0, 0, 1, 4, 3, 0, 2, 1, 3, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 4, 0, 3, 0, 4, 0, 0, 0, 0, 2, 0, 3, 4, 2, 0, 1, 1, 1, 2, 0, 1, 4, 2, 0, 0, 0, 3, 3, 1, 1, 4, 2, 4, 4, 2, 2, 4, 1, 3, 2, 3, 3, 2, 0, 2, 3, 2, 3, 0, 3, 3, 4, 0, 0, 0, 3, 4, 3, 4, 2, 4, 4, 1, 1, 1, 3, 1, 0, 0, 4, 2, 1, 4, 0, 0, 2, 3, 1, 2, 2, 3, 3, 0, 3, 2, 1, 0, 3, 1, 4, 0, 3, 1, 0, 0, 0, 1, 4, 3, 3, 4, 2, 3, 2, 0, 0, 2, 2, 2, 1, 0, 0, 4, 0, 1, 0, 1, 4, 4, 0, 3, 0, 4, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 3, 1, 1, 3, 1, 0, 0, 2, 1, 0, 2, 0, 3, 0, 3, 2, 4, 1, 1, 4, 2, 0, 0, 2, 2, 0, 2, 4, 0, 0, 3, 1, 0, 4, 0, 3, 4, 0, 3, 3, 3, 3, 3, 1, 4, 2, 4, 2, 2, 1, 2, 2, 3, 2, 4, 4, 0, 3, 1, 2, 4, 3, 2, 1, 0, 1, 0, 0, 0, 4, 3, 0, 2, 4, 3, 4, 4, 3, 2, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 2, 4, 2, 3, 3, 1, 3, 4, 1, 0, 0, 4, 3, 4, 2, 3, 4, 1, 3, 3, 4, 4, 1, 2, 0, 0, 2, 1, 0, 1, 3, 1, 3, 1, 1, 1, 0, 4, 1, 2, 4, 4, 3, 1, 2, 3, 0, 0, 0, 2, 3, 2, 0, 2, 2, 4, 2, 2, 0, 0, 4, 0, 2, 3, 0, 2, 2, 4, 3, 2, 2, 1, 2, 2, 0, 4, 2, 4, 4, 2, 1, 1, 4, 0, 3, 0, 2, 3, 4, 3, 3, 3, 1, 0, 2, 3, 4, 1, 0, 3, 3, 0, 4, 0, 2, 3, 1, 3, 1, 1, 2, 3, 4, 3, 0, 3, 3, 4, 0, 2, 3, 1, 1, 1, 0, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 1, 4, 2, 2, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0] pubkeycol661 = [1, 4, 1, 1, 0, 4, 2, 2, 1, 1, 2, 4, 2, 0, 1, 1, 3, 0, 1, 2, 2, 2, 0, 2, 4, 2, 0, 3, 0, 1, 0, 0, 0, 2, 4, 1, 0, 4, 2, 0, 0, 1, 2, 3, 4, 0, 1, 4, 3, 0, 2, 0, 0, 4, 1, 0, 3, 2, 2, 1, 3, 3, 1, 1, 3, 0, 0, 0, 3, 2, 0, 2, 1, 1, 0, 1, 1, 1, 3, 2, 4, 2, 0, 2, 3, 4, 0, 0, 1, 0, 3, 3, 2, 2, 3, 3, 1, 0, 1, 0, 1, 4, 1, 3, 3, 2, 3, 3, 4, 3, 4, 0, 2, 1, 1, 3, 4, 3, 3, 1, 3, 3, 1, 3, 3, 2, 0, 2, 4, 2, 4, 4, 3, 1, 3, 0, 2, 2, 2, 3, 0, 3, 0, 0, 0, 2, 1, 0, 4, 2, 2, 3, 0, 4, 0, 0, 3, 1, 2, 4, 1, 3, 3, 1, 4, 2, 2, 3, 3, 0, 3, 0, 0, 1, 4, 3, 0, 2, 3, 2, 1, 4, 2, 1, 0, 4, 1, 2, 1, 0, 1, 2, 1, 0, 4, 0, 2, 3, 4, 3, 4, 0, 4, 2, 4, 3, 0, 4, 3, 3, 4, 0, 1, 4, 4, 0, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 4, 3, 4, 2, 3, 0, 0, 1, 0, 2, 1, 0, 3, 4, 2, 2, 3, 1, 2, 0, 3, 3, 1, 1, 0, 3, 1, 0, 0, 4, 3, 4, 3, 3, 2, 3, 0, 2, 0, 2, 4, 1, 1, 0, 1, 1, 4, 1, 3, 3, 3, 1, 3, 4, 3, 2, 3, 0, 2, 2, 4, 4, 3, 1, 3, 4, 4, 1, 1, 2, 1, 1, 3, 0, 3, 1, 3, 1, 3, 4, 0, 3, 0, 2, 3, 3, 4, 1, 2, 4, 3, 3, 3, 3, 0, 0, 2, 1, 4, 4, 0, 2, 2, 0, 4, 1, 4, 0, 3, 1, 3, 2, 1, 3, 4, 4, 4, 2, 2, 3, 0, 2, 4, 0, 3, 2, 3, 4, 0, 2, 4, 4, 0, 1, 2, 0, 2, 4, 4, 0, 3, 0, 3, 2, 0, 0, 4, 1, 2, 3, 1, 1, 0, 3, 3, 0, 2, 3, 1, 2, 4, 3, 1, 2, 4, 0, 2, 0, 0, 0, 1, 1, 4, 2] pubkeycol662 = [2, 4, 1, 2, 3, 3, 2, 3, 0, 3, 0, 2, 3, 3, 1, 2, 4, 1, 0, 4, 2, 4, 4, 4, 3, 1, 3, 3, 2, 1, 4, 0, 1, 1, 0, 3, 0, 2, 2, 3, 2, 3, 1, 0, 0, 3, 0, 2, 2, 0, 1, 2, 3, 0, 1, 0, 2, 2, 4, 3, 0, 2, 3, 0, 0, 4, 2, 2, 0, 1, 1, 3, 3, 3, 4, 2, 2, 3, 3, 0, 4, 3, 1, 1, 0, 1, 3, 0, 0, 3, 2, 2, 1, 4, 3, 1, 2, 4, 0, 3, 4, 1, 4, 2, 1, 1, 2, 0, 4, 0, 1, 3, 3, 1, 2, 0, 4, 2, 2, 2, 3, 1, 0, 2, 3, 1, 2, 0, 2, 1, 4, 2, 3, 4, 0, 2, 0, 0, 0, 3, 3, 1, 1, 1, 2, 4, 2, 1, 0, 3, 1, 3, 0, 1, 3, 3, 2, 0, 3, 1, 1, 0, 0, 3, 4, 1, 0, 0, 2, 4, 2, 2, 2, 4, 1, 2, 1, 4, 4, 1, 0, 2, 1, 3, 3, 0, 2, 4, 1, 2, 3, 1, 3, 2, 2, 2, 0, 3, 4, 4, 2, 0, 3, 1, 0, 0, 2, 4, 0, 1, 1, 4, 0, 1, 4, 2, 2, 3, 3, 1, 0, 3, 1, 1, 1, 1, 2, 0, 3, 1, 0, 0, 4, 3, 3, 1, 2, 3, 2, 4, 3, 2, 1, 1, 2, 0, 2, 4, 4, 2, 3, 1, 2, 3, 2, 1, 1, 2, 4, 3, 0, 3, 1, 1, 2, 1, 4, 2, 0, 3, 3, 2, 3, 0, 0, 0, 1, 2, 3, 2, 2, 4, 0, 4, 1, 0, 4, 0, 2, 4, 3, 2, 2, 0, 0, 1, 1, 4, 2, 2, 1, 4, 3, 4, 4, 4, 2, 4, 3, 3, 0, 4, 2, 0, 0, 3, 1, 0, 4, 4, 4, 4, 0, 0, 0, 3, 2, 1, 2, 2, 0, 3, 0, 1, 2, 3, 0, 1, 0, 0, 1, 4, 0, 1, 0, 3, 4, 3, 1, 0, 0, 2, 1, 1, 4, 4, 0, 3, 4, 3, 0, 2, 0, 1, 4, 3, 2, 2, 4, 4, 2, 0, 4, 0, 4, 0, 4, 0, 3, 3, 4, 2, 2, 4, 0, 2, 2, 3, 1, 1, 4, 1, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol663 = [2, 3, 4, 2, 4, 1, 2, 3, 3, 1, 2, 3, 1, 1, 3, 1, 3, 2, 0, 1, 1, 3, 1, 2, 1, 3, 4, 2, 1, 3, 1, 3, 1, 2, 2, 2, 2, 4, 4, 4, 4, 3, 3, 1, 4, 2, 0, 3, 4, 0, 1, 0, 3, 4, 1, 2, 2, 3, 4, 1, 2, 4, 3, 1, 4, 2, 2, 0, 3, 3, 0, 2, 3, 3, 4, 2, 3, 1, 0, 2, 4, 1, 0, 2, 4, 2, 1, 3, 1, 0, 4, 3, 4, 2, 4, 1, 3, 2, 1, 0, 4, 0, 4, 3, 3, 3, 4, 4, 1, 2, 3, 4, 0, 0, 3, 0, 2, 2, 3, 2, 3, 0, 1, 0, 0, 1, 2, 0, 1, 4, 2, 0, 1, 4, 3, 2, 1, 1, 0, 3, 1, 2, 0, 1, 2, 0, 1, 4, 3, 3, 4, 3, 0, 3, 1, 1, 2, 2, 1, 4, 3, 1, 1, 3, 1, 0, 2, 3, 3, 4, 2, 3, 2, 3, 1, 4, 0, 2, 3, 3, 3, 4, 1, 2, 3, 2, 2, 0, 2, 0, 0, 2, 1, 4, 4, 3, 2, 1, 4, 2, 3, 4, 4, 3, 1, 3, 3, 3, 3, 4, 4, 2, 3, 0, 4, 2, 1, 4, 2, 1, 3, 0, 3, 4, 0, 1, 3, 1, 3, 3, 0, 4, 4, 2, 0, 3, 3, 3, 3, 0, 3, 4, 0, 2, 0, 1, 3, 1, 1, 0, 1, 3, 4, 1, 2, 2, 4, 4, 4, 1, 0, 4, 2, 1, 0, 2, 3, 4, 2, 3, 2, 3, 2, 2, 1, 0, 3, 4, 1, 2, 3, 0, 4, 0, 0, 1, 2, 3, 3, 0, 4, 0, 4, 0, 1, 2, 3, 1, 0, 1, 0, 1, 2, 1, 4, 3, 2, 1, 4, 1, 4, 0, 1, 4, 0, 4, 2, 0, 2, 1, 1, 2, 4, 0, 2, 3, 2, 4, 2, 3, 2, 0, 1, 3, 4, 2, 2, 0, 2, 0, 1, 3, 0, 2, 3, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 2, 2, 4, 1, 4, 2, 2, 0, 2, 0, 0, 0, 0, 3, 2, 2, 1, 0, 4, 1, 3, 2, 1, 2, 0, 4, 2, 4, 2, 4, 1, 0, 3, 0, 4, 1, 3, 4, 4, 0, 1, 2, 1, 1, 1] pubkeycol664 = [0, 1, 3, 4, 1, 2, 3, 0, 3, 0, 4, 4, 2, 2, 0, 2, 2, 0, 1, 4, 4, 2, 3, 2, 0, 3, 4, 4, 3, 0, 4, 4, 0, 1, 3, 1, 1, 3, 3, 3, 0, 2, 0, 0, 1, 2, 4, 0, 1, 4, 1, 0, 0, 1, 0, 3, 2, 4, 4, 4, 3, 2, 3, 4, 4, 4, 0, 2, 3, 0, 3, 0, 2, 4, 2, 1, 2, 3, 2, 3, 1, 0, 2, 1, 2, 2, 4, 3, 2, 3, 1, 3, 1, 4, 3, 1, 1, 0, 2, 3, 0, 3, 4, 2, 2, 3, 2, 4, 4, 1, 3, 0, 2, 0, 1, 0, 4, 4, 2, 1, 1, 0, 0, 4, 4, 1, 0, 4, 3, 1, 2, 3, 0, 2, 0, 3, 0, 0, 2, 1, 3, 4, 4, 4, 3, 1, 3, 4, 0, 0, 0, 4, 2, 4, 1, 1, 4, 1, 4, 0, 1, 2, 4, 4, 0, 3, 3, 2, 3, 2, 1, 4, 0, 1, 1, 4, 3, 4, 3, 1, 3, 0, 1, 0, 1, 4, 2, 4, 4, 1, 3, 3, 1, 3, 2, 2, 1, 1, 1, 4, 0, 1, 1, 1, 2, 1, 4, 0, 1, 3, 1, 2, 1, 2, 3, 1, 1, 0, 4, 3, 0, 1, 3, 2, 3, 4, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 3, 4, 0, 1, 2, 2, 1, 0, 2, 4, 4, 2, 2, 4, 4, 0, 4, 2, 1, 4, 4, 1, 3, 3, 3, 2, 1, 3, 2, 3, 0, 2, 3, 2, 0, 2, 3, 2, 2, 4, 4, 4, 3, 4, 1, 1, 4, 0, 0, 0, 4, 4, 0, 2, 2, 2, 4, 4, 0, 3, 0, 1, 0, 1, 0, 4, 2, 1, 2, 4, 0, 4, 2, 2, 3, 4, 1, 4, 3, 0, 1, 4, 3, 3, 0, 4, 0, 4, 0, 3, 4, 4, 1, 2, 3, 4, 1, 3, 3, 1, 2, 1, 4, 3, 4, 1, 2, 0, 4, 2, 1, 2, 2, 0, 4, 3, 3, 3, 3, 3, 0, 4, 2, 3, 3, 3, 3, 3, 3, 0, 2, 2, 1, 3, 1, 1, 0, 0, 4, 3, 0, 1, 2, 3, 1, 0, 3, 1, 1, 2, 3, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0] pubkeycol665 = [1, 4, 4, 3, 3, 2, 1, 1, 3, 4, 3, 1, 2, 0, 3, 1, 3, 3, 4, 4, 4, 1, 2, 1, 2, 1, 1, 4, 2, 3, 2, 0, 4, 2, 1, 4, 4, 4, 4, 4, 2, 0, 4, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 3, 4, 0, 4, 2, 0, 2, 4, 2, 3, 4, 0, 3, 1, 0, 0, 1, 3, 1, 4, 1, 1, 3, 4, 4, 1, 3, 2, 2, 4, 3, 2, 3, 1, 4, 2, 0, 2, 1, 3, 0, 0, 4, 2, 0, 3, 2, 1, 2, 2, 4, 0, 3, 1, 2, 2, 0, 2, 4, 4, 3, 4, 0, 0, 1, 0, 1, 2, 3, 3, 3, 4, 3, 4, 4, 3, 1, 0, 4, 3, 4, 3, 3, 4, 0, 3, 0, 0, 4, 0, 4, 2, 0, 3, 3, 3, 0, 2, 0, 0, 4, 0, 1, 4, 1, 2, 4, 0, 4, 1, 2, 0, 1, 3, 2, 2, 0, 1, 1, 4, 4, 3, 1, 1, 1, 0, 3, 4, 2, 2, 4, 3, 2, 0, 2, 1, 4, 1, 0, 2, 0, 2, 2, 4, 2, 1, 2, 4, 1, 4, 2, 2, 0, 2, 4, 2, 2, 1, 2, 1, 0, 4, 3, 2, 4, 1, 3, 2, 1, 0, 4, 1, 3, 2, 2, 1, 0, 3, 0, 4, 1, 1, 2, 2, 2, 4, 4, 2, 4, 4, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 3, 4, 1, 0, 3, 0, 4, 0, 2, 2, 4, 4, 1, 2, 2, 3, 4, 2, 4, 1, 2, 3, 4, 0, 1, 2, 3, 0, 4, 2, 2, 4, 4, 0, 2, 4, 0, 2, 4, 2, 3, 4, 0, 2, 4, 0, 3, 1, 4, 3, 0, 1, 1, 0, 4, 1, 4, 0, 0, 0, 4, 4, 2, 3, 0, 3, 0, 2, 0, 4, 2, 0, 0, 3, 0, 2, 2, 0, 3, 4, 2, 2, 0, 4, 2, 1, 2, 2, 2, 0, 1, 4, 1, 0, 3, 4, 0, 0, 3, 3, 1, 2, 4, 4, 0, 0, 1, 2, 1, 4, 0, 4, 3, 0, 3, 2, 3, 1, 3, 1, 0, 1, 3, 2, 3, 3, 2, 3, 1, 2, 4, 0, 3, 1, 4, 4, 3, 2, 3, 3, 4, 3, 2, 3, 0, 2, 4] pubkeycol666 = [0, 3, 1, 1, 2, 4, 4, 0, 4, 1, 0, 2, 1, 3, 3, 0, 2, 0, 1, 2, 2, 2, 3, 0, 3, 0, 1, 1, 4, 4, 2, 0, 0, 4, 1, 1, 2, 0, 2, 4, 3, 4, 4, 3, 1, 3, 4, 2, 0, 4, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 4, 4, 4, 2, 1, 0, 3, 4, 2, 4, 1, 0, 0, 4, 0, 0, 2, 1, 1, 3, 4, 4, 0, 4, 1, 1, 2, 3, 0, 3, 2, 4, 2, 1, 1, 3, 2, 1, 2, 3, 0, 0, 4, 3, 4, 3, 4, 4, 0, 3, 3, 0, 0, 2, 1, 2, 1, 0, 0, 4, 0, 3, 1, 4, 1, 2, 4, 0, 4, 1, 0, 1, 1, 1, 4, 0, 4, 3, 1, 3, 4, 2, 1, 2, 2, 1, 0, 3, 0, 1, 4, 4, 1, 1, 3, 1, 2, 0, 2, 1, 3, 4, 1, 3, 4, 0, 2, 1, 4, 4, 4, 0, 3, 2, 1, 4, 0, 0, 1, 0, 4, 0, 2, 3, 2, 4, 2, 3, 0, 1, 1, 3, 4, 4, 3, 0, 3, 1, 0, 1, 0, 3, 2, 4, 4, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 2, 4, 2, 2, 4, 1, 2, 3, 1, 0, 0, 2, 4, 0, 0, 4, 1, 0, 3, 0, 1, 0, 1, 3, 1, 4, 3, 2, 1, 1, 1, 3, 3, 4, 4, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 4, 4, 3, 2, 4, 2, 0, 4, 2, 4, 1, 0, 3, 3, 1, 2, 1, 3, 2, 1, 2, 1, 2, 0, 4, 4, 2, 3, 3, 4, 1, 4, 0, 1, 3, 1, 1, 1, 0, 3, 1, 3, 3, 1, 2, 4, 2, 4, 1, 4, 0, 4, 1, 2, 4, 0, 1, 2, 2, 4, 2, 3, 0, 0, 1, 3, 1, 2, 1, 3, 0, 2, 2, 4, 0, 1, 2, 3, 1, 1, 3, 0, 3, 2, 1, 3, 1, 2, 1, 4, 4, 1, 0, 0, 3, 0, 3, 4, 4, 3, 0, 4, 2, 2, 3, 0, 1, 2, 3, 4, 2, 2, 3, 1, 4, 4, 1, 0, 3, 3, 3, 0, 1, 2, 1, 2, 2, 1, 3, 3, 3, 0, 4, 0, 0, 3, 3, 0] pubkeycol667 = [1, 2, 0, 2, 3, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 3, 0, 3, 0, 3, 0, 0, 1, 1, 0, 0, 2, 4, 0, 4, 3, 0, 4, 1, 2, 1, 0, 0, 3, 4, 0, 4, 2, 2, 3, 0, 3, 2, 4, 2, 2, 2, 4, 3, 3, 0, 1, 2, 4, 0, 2, 0, 4, 0, 1, 3, 2, 4, 2, 0, 0, 3, 2, 2, 2, 1, 3, 1, 3, 3, 4, 4, 2, 0, 2, 2, 1, 2, 4, 4, 3, 3, 0, 4, 0, 4, 4, 2, 1, 3, 0, 1, 4, 0, 3, 0, 3, 4, 2, 2, 1, 1, 2, 2, 3, 1, 4, 0, 1, 0, 4, 1, 2, 2, 0, 2, 1, 4, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 0, 3, 3, 4, 4, 3, 2, 4, 3, 1, 1, 4, 4, 4, 0, 4, 4, 4, 3, 3, 2, 4, 0, 3, 0, 4, 4, 3, 4, 1, 2, 1, 1, 0, 0, 2, 4, 2, 4, 2, 0, 2, 0, 4, 4, 3, 4, 0, 0, 1, 0, 2, 0, 4, 1, 2, 4, 0, 2, 1, 4, 0, 0, 2, 1, 2, 3, 1, 2, 2, 3, 4, 2, 0, 4, 2, 0, 0, 2, 0, 3, 4, 2, 3, 0, 3, 3, 1, 2, 0, 2, 3, 1, 3, 2, 0, 4, 2, 4, 0, 1, 4, 0, 3, 2, 1, 4, 2, 3, 1, 1, 0, 1, 4, 4, 0, 4, 4, 2, 4, 2, 0, 0, 1, 3, 2, 2, 4, 3, 1, 0, 2, 2, 1, 1, 0, 4, 1, 3, 1, 2, 0, 0, 2, 1, 3, 3, 2, 0, 2, 4, 0, 4, 2, 3, 0, 3, 4, 0, 0, 4, 4, 4, 1, 0, 2, 2, 4, 3, 1, 1, 0, 4, 2, 2, 2, 3, 0, 4, 1, 2, 4, 2, 4, 0, 4, 4, 0, 2, 4, 3, 4, 1, 0, 2, 3, 2, 2, 3, 1, 4, 4, 3, 4, 3, 0, 0, 0, 3, 4, 2, 4, 4, 2, 3, 2, 0, 4, 0, 2, 1, 0, 0, 1, 4, 2, 2, 0, 4, 1, 2, 1, 0, 4, 1, 3, 1, 4, 0, 3, 4, 2, 0, 0, 0, 1, 2, 2, 1, 3, 2, 3, 3, 1, 0, 3, 0, 1, 0] pubkeycol668 = [0, 1, 1, 2, 4, 4, 2, 1, 1, 4, 3, 3, 1, 0, 3, 0, 0, 1, 3, 4, 0, 1, 2, 1, 4, 2, 4, 2, 0, 3, 2, 0, 4, 1, 3, 1, 2, 4, 0, 0, 1, 3, 4, 3, 4, 1, 1, 3, 3, 3, 4, 3, 2, 0, 0, 2, 0, 1, 2, 1, 3, 3, 2, 2, 2, 0, 4, 2, 2, 3, 0, 2, 4, 2, 1, 0, 1, 4, 0, 4, 0, 0, 2, 3, 1, 4, 1, 4, 0, 2, 4, 1, 0, 0, 4, 2, 4, 4, 2, 3, 2, 2, 4, 2, 1, 2, 1, 3, 1, 0, 4, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 3, 2, 0, 1, 0, 3, 0, 1, 4, 3, 4, 0, 0, 2, 4, 3, 0, 0, 4, 2, 3, 3, 3, 4, 4, 3, 4, 2, 4, 0, 2, 0, 3, 4, 1, 3, 1, 3, 4, 0, 2, 4, 3, 0, 0, 0, 2, 1, 4, 3, 2, 3, 3, 3, 3, 3, 1, 4, 4, 4, 2, 2, 2, 1, 3, 3, 1, 1, 3, 2, 4, 1, 3, 1, 2, 3, 1, 4, 3, 1, 1, 2, 2, 4, 3, 0, 2, 4, 1, 3, 1, 2, 0, 2, 1, 0, 1, 4, 2, 1, 4, 4, 2, 3, 0, 0, 1, 2, 1, 4, 1, 1, 3, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 3, 2, 0, 0, 0, 1, 2, 2, 3, 2, 0, 2, 4, 1, 2, 3, 3, 4, 1, 4, 1, 1, 4, 2, 4, 0, 1, 1, 4, 0, 3, 0, 1, 4, 2, 0, 2, 3, 1, 2, 0, 3, 4, 0, 2, 3, 1, 4, 1, 2, 2, 4, 2, 0, 4, 3, 1, 0, 1, 3, 0, 2, 0, 0, 3, 0, 1, 2, 3, 2, 3, 3, 4, 0, 0, 2, 2, 4, 0, 2, 4, 2, 4, 3, 3, 0, 2, 3, 3, 3, 3, 2, 0, 1, 2, 0, 1, 4, 0, 2, 0, 2, 0, 4, 1, 4, 3, 4, 4, 1, 4, 3, 4, 0, 1, 3, 0, 3, 3, 3, 0, 2, 3, 1, 0, 1, 1, 1, 3, 0, 3, 2, 1, 0, 1, 0, 2, 0, 4, 1, 4, 4, 2, 4, 3, 2, 4, 0, 1, 2, 1] pubkeycol669 = [1, 1, 1, 1, 2, 4, 3, 0, 3, 1, 3, 3, 3, 2, 4, 4, 2, 1, 3, 0, 1, 0, 0, 4, 2, 0, 4, 4, 4, 1, 1, 2, 0, 1, 1, 1, 2, 3, 4, 1, 0, 1, 1, 0, 3, 2, 4, 3, 3, 4, 4, 1, 2, 4, 0, 0, 3, 0, 3, 4, 4, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 1, 0, 4, 4, 3, 0, 4, 0, 0, 2, 3, 0, 2, 4, 0, 4, 4, 3, 1, 4, 3, 2, 2, 4, 0, 1, 2, 2, 0, 2, 4, 2, 3, 0, 3, 2, 1, 0, 4, 1, 1, 1, 4, 0, 3, 3, 1, 2, 2, 3, 2, 3, 2, 4, 3, 3, 3, 0, 3, 2, 3, 0, 1, 3, 4, 0, 4, 4, 2, 3, 3, 2, 2, 0, 2, 2, 0, 4, 4, 3, 2, 4, 4, 2, 1, 2, 4, 4, 1, 3, 1, 4, 1, 3, 0, 2, 1, 2, 1, 2, 3, 4, 1, 3, 0, 4, 0, 1, 2, 1, 1, 4, 2, 2, 1, 3, 2, 0, 4, 4, 3, 0, 2, 2, 0, 4, 3, 4, 2, 1, 3, 0, 1, 3, 4, 3, 3, 4, 2, 4, 2, 4, 4, 0, 2, 1, 4, 1, 4, 4, 1, 0, 2, 3, 1, 3, 4, 0, 2, 4, 1, 1, 3, 1, 4, 4, 1, 2, 0, 4, 2, 0, 1, 2, 0, 4, 2, 1, 2, 0, 1, 3, 4, 2, 0, 3, 0, 3, 2, 2, 3, 1, 1, 4, 0, 2, 3, 4, 2, 1, 0, 4, 4, 1, 0, 2, 4, 1, 1, 1, 2, 0, 1, 1, 4, 4, 3, 2, 3, 3, 3, 0, 2, 3, 3, 4, 3, 0, 2, 1, 2, 1, 2, 4, 1, 4, 2, 3, 1, 4, 4, 0, 0, 0, 0, 2, 4, 3, 3, 4, 3, 0, 3, 0, 2, 1, 2, 2, 1, 3, 0, 4, 4, 3, 3, 3, 3, 1, 0, 1, 0, 0, 0, 4, 0, 1, 2, 1, 0, 2, 4, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 3, 1, 0, 2, 2, 1, 4, 2, 2, 3, 0, 0, 1, 4, 2, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol670 = [4, 4, 3, 4, 1, 3, 2, 0, 1, 0, 0, 2, 0, 4, 2, 3, 3, 0, 0, 0, 4, 3, 4, 3, 3, 1, 3, 2, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1, 2, 1, 4, 1, 4, 0, 1, 2, 2, 0, 3, 0, 0, 1, 3, 0, 0, 2, 3, 4, 1, 3, 1, 0, 1, 2, 0, 1, 3, 2, 3, 1, 4, 1, 4, 1, 1, 4, 2, 1, 0, 1, 3, 4, 0, 0, 2, 3, 2, 4, 1, 2, 3, 3, 3, 1, 4, 3, 3, 4, 4, 1, 1, 3, 1, 2, 3, 0, 4, 3, 4, 0, 3, 4, 1, 4, 0, 4, 1, 4, 4, 1, 1, 4, 0, 4, 0, 0, 4, 3, 1, 2, 3, 4, 3, 3, 4, 1, 3, 3, 1, 4, 3, 0, 3, 3, 2, 2, 4, 0, 1, 0, 0, 4, 2, 3, 2, 2, 3, 2, 0, 1, 1, 0, 0, 4, 2, 4, 2, 1, 2, 4, 1, 4, 4, 3, 0, 3, 3, 2, 0, 2, 3, 2, 1, 3, 1, 1, 4, 3, 1, 4, 2, 3, 4, 4, 2, 1, 4, 2, 1, 2, 4, 1, 3, 4, 0, 4, 0, 2, 0, 4, 2, 3, 3, 4, 1, 0, 4, 4, 0, 3, 0, 4, 4, 4, 1, 0, 3, 2, 0, 3, 4, 2, 2, 3, 1, 0, 4, 4, 2, 0, 0, 1, 0, 2, 3, 3, 3, 2, 2, 4, 4, 2, 3, 2, 2, 1, 1, 3, 4, 0, 0, 0, 4, 4, 0, 1, 0, 1, 2, 4, 3, 4, 2, 4, 1, 1, 2, 2, 3, 1, 1, 0, 1, 2, 0, 0, 4, 2, 3, 4, 4, 2, 4, 2, 2, 2, 3, 2, 1, 0, 2, 3, 0, 2, 2, 3, 3, 0, 2, 3, 4, 4, 3, 3, 3, 2, 0, 0, 4, 4, 1, 3, 0, 3, 1, 4, 1, 1, 4, 0, 1, 0, 0, 4, 0, 0, 3, 1, 3, 4, 2, 0, 3, 4, 0, 0, 4, 2, 0, 2, 4, 1, 1, 0, 0, 0, 1, 3, 4, 0, 0, 3, 1, 2, 1, 4, 1, 0, 3, 4, 0, 0, 0, 4, 4, 1, 2, 0, 2, 0, 1, 0, 3, 1, 1, 0, 1, 1, 1, 2, 0, 0, 3, 1, 3, 3, 0, 4, 3, 4] pubkeycol671 = [2, 3, 0, 4, 4, 2, 1, 0, 3, 2, 2, 4, 1, 1, 2, 3, 3, 1, 3, 0, 3, 4, 1, 3, 0, 4, 0, 4, 1, 2, 0, 4, 3, 2, 1, 4, 1, 4, 4, 3, 0, 4, 0, 2, 3, 1, 4, 0, 4, 1, 4, 3, 2, 4, 4, 4, 1, 0, 1, 3, 0, 3, 1, 4, 2, 2, 4, 2, 3, 2, 3, 0, 1, 0, 4, 2, 2, 3, 1, 3, 2, 0, 3, 0, 2, 3, 3, 3, 0, 2, 4, 1, 4, 2, 4, 4, 4, 1, 0, 1, 1, 2, 0, 3, 1, 4, 4, 3, 1, 2, 1, 1, 0, 1, 4, 2, 2, 4, 2, 2, 4, 3, 2, 0, 2, 0, 1, 4, 4, 0, 3, 4, 3, 1, 4, 2, 1, 1, 4, 1, 3, 1, 1, 0, 3, 0, 2, 1, 4, 2, 1, 1, 4, 1, 2, 1, 0, 3, 2, 2, 0, 1, 4, 2, 2, 2, 4, 2, 4, 0, 0, 3, 1, 3, 1, 1, 3, 2, 0, 4, 4, 4, 2, 2, 2, 2, 3, 3, 3, 1, 3, 3, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 4, 1, 0, 4, 1, 3, 4, 0, 2, 0, 0, 2, 0, 3, 2, 2, 2, 2, 1, 2, 3, 3, 0, 3, 2, 4, 2, 2, 0, 4, 0, 3, 2, 3, 4, 0, 1, 3, 3, 4, 0, 2, 4, 2, 3, 2, 1, 2, 1, 1, 3, 4, 3, 2, 2, 4, 1, 1, 0, 0, 1, 4, 0, 3, 0, 4, 4, 2, 1, 4, 2, 1, 0, 4, 4, 3, 1, 0, 0, 2, 1, 1, 3, 3, 4, 3, 4, 1, 2, 1, 4, 4, 4, 3, 3, 0, 4, 0, 2, 2, 4, 1, 2, 1, 0, 4, 0, 3, 0, 0, 4, 2, 2, 4, 0, 1, 4, 4, 3, 2, 3, 3, 2, 3, 3, 2, 4, 4, 0, 3, 4, 1, 4, 3, 0, 1, 2, 2, 4, 4, 3, 0, 0, 4, 0, 0, 1, 3, 3, 4, 4, 3, 1, 4, 2, 4, 0, 3, 2, 4, 3, 4, 1, 1, 1, 4, 2, 2, 3, 1, 4, 2, 0, 2, 4, 3, 2, 1, 4, 3, 2, 1, 1, 2, 4, 0, 1, 0, 4, 0, 1, 2, 4, 4, 1, 2, 2] pubkeycol672 = [1, 4, 0, 3, 4, 3, 4, 3, 2, 0, 4, 1, 4, 0, 4, 3, 3, 0, 1, 0, 2, 0, 4, 2, 3, 4, 2, 4, 2, 0, 1, 4, 1, 3, 0, 1, 1, 0, 4, 1, 2, 0, 4, 4, 2, 4, 1, 4, 4, 3, 3, 3, 2, 4, 4, 0, 2, 2, 0, 3, 3, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 4, 3, 4, 4, 1, 2, 1, 4, 4, 0, 3, 4, 0, 4, 1, 2, 0, 1, 1, 2, 0, 0, 4, 2, 2, 0, 3, 1, 0, 4, 0, 3, 1, 0, 4, 0, 3, 4, 0, 1, 4, 2, 0, 1, 3, 3, 0, 4, 4, 2, 2, 0, 0, 3, 0, 4, 1, 4, 4, 1, 2, 2, 3, 1, 4, 4, 2, 2, 2, 0, 3, 2, 3, 3, 1, 0, 0, 3, 0, 4, 1, 0, 2, 2, 2, 3, 1, 4, 2, 2, 0, 3, 2, 1, 2, 0, 0, 0, 1, 3, 3, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 3, 1, 4, 2, 0, 3, 0, 1, 2, 2, 3, 0, 0, 2, 4, 3, 1, 2, 3, 4, 3, 2, 2, 4, 2, 0, 0, 2, 4, 3, 2, 4, 0, 4, 3, 3, 4, 4, 2, 2, 0, 4, 0, 2, 2, 3, 3, 2, 2, 1, 0, 3, 2, 3, 2, 2, 2, 0, 4, 3, 3, 0, 0, 4, 4, 0, 0, 1, 3, 1, 3, 0, 1, 2, 1, 1, 1, 4, 3, 0, 2, 2, 0, 3, 1, 3, 4, 4, 1, 3, 2, 3, 4, 4, 1, 4, 3, 2, 0, 1, 0, 4, 4, 3, 3, 3, 0, 0, 0, 4, 1, 2, 3, 0, 3, 4, 0, 3, 2, 2, 2, 3, 4, 2, 0, 1, 1, 3, 0, 4, 1, 2, 1, 0, 3, 4, 2, 3, 4, 2, 2, 0, 3, 1, 2, 0, 0, 0, 2, 1, 2, 4, 2, 3, 2, 0, 2, 3, 2, 0, 1, 1, 1, 4, 4, 4, 0, 3, 4, 3, 4, 2, 1, 3, 0, 3, 3, 3, 0, 2, 2, 4, 0, 1, 4, 0, 4, 0, 2, 1, 3, 1, 3, 3, 2, 1, 1, 1, 4, 2, 2, 0, 0, 2, 2, 0, 4, 1, 0, 3, 3, 2, 0, 2] pubkeycol673 = [3, 0, 0, 0, 1, 4, 4, 0, 1, 3, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 3, 0, 1, 0, 0, 3, 2, 0, 3, 1, 3, 4, 4, 1, 3, 2, 2, 3, 0, 0, 4, 3, 1, 1, 0, 3, 1, 4, 2, 4, 1, 2, 0, 3, 1, 2, 4, 0, 0, 2, 1, 4, 3, 0, 4, 1, 0, 1, 3, 4, 3, 3, 0, 2, 1, 4, 4, 1, 1, 4, 0, 2, 1, 2, 0, 3, 2, 2, 0, 4, 4, 2, 4, 0, 4, 4, 2, 2, 2, 2, 3, 0, 4, 2, 4, 3, 4, 3, 1, 1, 0, 2, 0, 3, 0, 4, 4, 3, 2, 1, 3, 4, 0, 0, 2, 3, 3, 0, 0, 3, 1, 1, 3, 0, 3, 3, 0, 4, 4, 3, 3, 3, 1, 3, 0, 1, 0, 1, 2, 3, 1, 1, 1, 0, 3, 0, 1, 4, 2, 0, 2, 4, 1, 0, 4, 0, 0, 3, 1, 1, 2, 2, 4, 4, 0, 4, 4, 0, 4, 0, 4, 2, 4, 3, 3, 2, 0, 0, 4, 4, 3, 4, 4, 2, 1, 1, 4, 3, 0, 1, 2, 4, 2, 2, 1, 4, 4, 2, 0, 4, 4, 3, 2, 2, 0, 3, 4, 1, 2, 4, 1, 2, 2, 3, 2, 4, 3, 4, 4, 3, 4, 0, 2, 3, 2, 4, 0, 1, 3, 0, 4, 3, 1, 4, 2, 4, 2, 1, 1, 4, 3, 0, 0, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 1, 1, 1, 0, 4, 3, 2, 1, 4, 4, 1, 2, 2, 1, 4, 3, 1, 4, 2, 4, 2, 4, 3, 4, 1, 0, 0, 1, 2, 1, 4, 1, 2, 1, 4, 0, 4, 1, 1, 4, 3, 1, 4, 2, 3, 2, 3, 1, 0, 2, 2, 4, 3, 3, 4, 3, 1, 3, 2, 4, 4, 4, 0, 3, 0, 4, 2, 2, 0, 2, 2, 3, 2, 4, 2, 3, 1, 3, 1, 0, 2, 4, 2, 4, 1, 1, 3, 3, 2, 0, 0, 4, 3, 2, 4, 0, 4, 0, 4, 2, 4, 0, 3, 0, 3, 0, 4, 0, 0, 4, 1, 4, 4, 0, 2, 2, 4, 1, 4, 0, 3, 1, 0, 4, 0, 1, 2, 4, 3, 1, 2, 1, 0, 4] pubkeycol674 = [4, 3, 1, 1, 0, 3, 2, 4, 4, 3, 1, 3, 3, 2, 1, 2, 0, 2, 2, 2, 0, 3, 2, 2, 0, 1, 4, 1, 3, 1, 1, 0, 0, 4, 0, 3, 2, 2, 3, 2, 1, 1, 3, 2, 2, 4, 1, 2, 2, 4, 2, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 2, 1, 0, 1, 4, 3, 3, 1, 1, 3, 0, 1, 2, 1, 3, 1, 1, 4, 1, 3, 2, 1, 3, 0, 2, 0, 0, 0, 2, 4, 1, 4, 2, 3, 2, 4, 2, 2, 0, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 1, 4, 3, 3, 2, 4, 3, 0, 0, 3, 4, 1, 2, 0, 0, 1, 3, 0, 0, 0, 2, 2, 2, 4, 3, 1, 2, 3, 2, 0, 1, 4, 0, 2, 0, 1, 0, 3, 1, 4, 1, 1, 3, 0, 1, 4, 0, 1, 4, 4, 3, 4, 1, 2, 2, 3, 3, 0, 3, 1, 3, 1, 1, 3, 2, 3, 1, 1, 4, 4, 3, 0, 0, 0, 4, 3, 3, 4, 4, 3, 0, 3, 0, 4, 0, 0, 3, 4, 0, 3, 3, 0, 4, 4, 2, 1, 3, 4, 4, 1, 1, 2, 2, 2, 1, 0, 3, 1, 3, 3, 1, 2, 0, 3, 0, 4, 4, 4, 1, 3, 3, 2, 2, 1, 4, 3, 4, 4, 1, 3, 0, 1, 0, 4, 2, 0, 4, 4, 3, 4, 1, 2, 2, 0, 4, 4, 3, 2, 1, 3, 2, 4, 4, 2, 0, 0, 4, 4, 3, 2, 0, 3, 2, 2, 3, 4, 2, 0, 4, 3, 3, 4, 0, 1, 4, 0, 1, 4, 4, 3, 4, 0, 4, 4, 1, 4, 1, 2, 0, 3, 3, 0, 1, 0, 0, 4, 4, 2, 2, 0, 3, 3, 3, 2, 3, 1, 0, 3, 4, 1, 3, 0, 2, 1, 4, 0, 2, 0, 3, 4, 2, 1, 2, 4, 0, 0, 0, 1, 2, 1, 4, 2, 2, 2, 4, 1, 2, 2, 1, 2, 4, 3, 0, 2, 3, 1, 2, 0, 1, 1, 0, 3, 2, 0, 1, 1, 3, 0, 0, 2, 3, 0, 4, 2, 1, 4, 1, 0, 1, 2, 4, 0, 3, 2, 0, 0, 4, 2, 4, 1, 0, 2, 3, 1, 0, 1, 2, 1, 4] pubkeycol675 = [4, 3, 4, 1, 0, 4, 2, 0, 0, 1, 3, 1, 3, 4, 3, 1, 2, 4, 3, 0, 1, 4, 4, 3, 1, 0, 4, 0, 2, 2, 1, 3, 2, 4, 0, 0, 4, 2, 2, 4, 3, 1, 1, 1, 3, 3, 4, 0, 2, 2, 1, 1, 3, 1, 0, 0, 4, 0, 2, 2, 2, 1, 1, 2, 4, 0, 0, 2, 3, 3, 2, 0, 4, 1, 0, 4, 2, 3, 4, 1, 0, 0, 0, 3, 4, 1, 3, 0, 0, 0, 1, 1, 1, 0, 3, 2, 3, 2, 4, 2, 1, 0, 1, 2, 4, 1, 4, 1, 2, 3, 2, 1, 3, 2, 2, 0, 3, 3, 4, 0, 1, 1, 2, 2, 2, 4, 0, 1, 2, 3, 0, 4, 2, 4, 0, 1, 1, 2, 2, 3, 4, 4, 1, 2, 3, 4, 1, 4, 2, 1, 0, 1, 3, 2, 0, 3, 0, 4, 0, 3, 4, 3, 3, 4, 2, 3, 2, 1, 2, 2, 3, 1, 4, 2, 4, 0, 0, 0, 4, 4, 2, 3, 0, 0, 3, 2, 1, 2, 4, 3, 1, 0, 0, 4, 1, 2, 0, 2, 3, 2, 2, 3, 4, 2, 3, 0, 4, 2, 3, 1, 4, 2, 1, 2, 3, 1, 2, 1, 3, 1, 2, 3, 0, 0, 1, 1, 2, 3, 1, 4, 2, 0, 0, 4, 2, 0, 4, 3, 1, 3, 2, 0, 3, 0, 0, 2, 4, 2, 4, 1, 3, 1, 1, 2, 3, 1, 4, 3, 0, 4, 1, 4, 0, 4, 4, 3, 4, 1, 2, 4, 4, 4, 0, 2, 0, 0, 0, 2, 4, 1, 0, 0, 3, 3, 1, 1, 0, 0, 3, 3, 3, 3, 2, 1, 1, 3, 1, 4, 4, 1, 3, 1, 3, 3, 3, 1, 0, 2, 2, 4, 0, 3, 4, 2, 1, 4, 3, 3, 2, 2, 2, 0, 4, 1, 1, 0, 4, 0, 3, 2, 2, 1, 0, 2, 1, 0, 2, 4, 0, 4, 4, 4, 2, 2, 0, 2, 0, 2, 1, 4, 1, 4, 2, 2, 0, 1, 4, 1, 4, 3, 2, 1, 1, 4, 0, 0, 2, 0, 3, 3, 4, 0, 2, 2, 1, 3, 2, 3, 3, 4, 1, 3, 2, 4, 1, 4, 1, 2, 3, 1, 3, 4, 3, 0, 3, 3, 4, 2, 0, 0] pubkeycol676 = [1, 4, 0, 1, 4, 3, 4, 2, 1, 0, 2, 2, 4, 2, 2, 2, 4, 2, 4, 2, 0, 0, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 1, 0, 2, 3, 3, 4, 2, 2, 1, 0, 0, 3, 2, 3, 3, 1, 4, 4, 2, 1, 2, 3, 0, 0, 2, 3, 1, 3, 0, 1, 4, 3, 2, 1, 3, 1, 1, 1, 1, 0, 1, 3, 3, 1, 1, 4, 0, 3, 1, 2, 4, 2, 3, 0, 2, 3, 3, 3, 0, 3, 0, 2, 0, 0, 2, 4, 2, 3, 1, 0, 1, 2, 2, 3, 0, 0, 1, 2, 2, 4, 2, 2, 4, 3, 0, 0, 0, 1, 3, 4, 1, 1, 2, 2, 3, 3, 1, 1, 0, 3, 4, 0, 3, 0, 4, 1, 4, 4, 0, 3, 1, 0, 2, 1, 4, 3, 2, 0, 1, 4, 2, 0, 3, 3, 2, 3, 2, 3, 4, 3, 2, 2, 4, 2, 1, 4, 4, 4, 3, 4, 3, 1, 0, 4, 0, 0, 0, 1, 4, 0, 3, 4, 0, 4, 1, 0, 1, 2, 2, 4, 1, 2, 3, 0, 3, 1, 1, 1, 3, 3, 2, 3, 3, 3, 4, 1, 0, 1, 4, 2, 4, 3, 4, 3, 0, 4, 2, 2, 2, 2, 0, 4, 1, 4, 2, 0, 3, 3, 1, 4, 0, 1, 4, 0, 0, 2, 3, 0, 2, 1, 4, 4, 3, 1, 3, 0, 3, 2, 2, 1, 0, 2, 3, 1, 4, 1, 1, 2, 3, 0, 1, 2, 4, 1, 3, 4, 3, 1, 3, 2, 0, 2, 2, 1, 1, 3, 1, 1, 0, 0, 3, 1, 2, 4, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 4, 0, 3, 3, 0, 2, 2, 0, 2, 4, 4, 1, 2, 1, 1, 1, 2, 0, 3, 2, 1, 0, 0, 4, 0, 2, 4, 0, 3, 3, 1, 0, 0, 4, 3, 1, 2, 0, 4, 0, 3, 2, 0, 1, 0, 3, 2, 2, 3, 1, 2, 4, 4, 1, 1, 3, 4, 0, 4, 3, 2, 4, 1, 4, 0, 2, 2, 2, 3, 2, 2, 4, 2, 3, 2, 3, 2, 4, 4, 0, 0, 4, 3, 4, 3, 2, 1, 2, 2, 1, 2, 1, 1, 4, 2, 2, 2, 1, 3] pubkeycol677 = [2, 1, 2, 1, 1, 3, 0, 3, 3, 1, 1, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 3, 2, 1, 2, 1, 0, 1, 0, 2, 4, 2, 1, 2, 1, 4, 1, 4, 4, 4, 3, 4, 1, 2, 3, 0, 3, 3, 1, 4, 0, 3, 3, 2, 2, 2, 1, 4, 0, 3, 3, 3, 1, 2, 2, 1, 1, 4, 3, 1, 1, 1, 0, 3, 3, 2, 2, 2, 3, 2, 3, 4, 3, 3, 2, 2, 4, 1, 4, 0, 2, 4, 0, 1, 4, 1, 3, 1, 2, 2, 0, 0, 3, 3, 2, 4, 3, 1, 1, 2, 4, 4, 2, 0, 3, 1, 4, 1, 3, 3, 1, 3, 4, 3, 3, 2, 3, 0, 1, 4, 2, 3, 1, 0, 0, 2, 4, 4, 3, 3, 0, 4, 1, 2, 2, 4, 2, 1, 1, 3, 0, 0, 4, 4, 0, 1, 1, 4, 3, 1, 3, 4, 4, 1, 0, 1, 3, 1, 0, 1, 0, 0, 3, 2, 1, 2, 3, 2, 0, 3, 3, 0, 0, 2, 3, 4, 0, 1, 3, 1, 1, 3, 2, 3, 1, 4, 4, 1, 4, 0, 0, 3, 1, 3, 2, 0, 2, 4, 3, 0, 4, 4, 2, 3, 0, 2, 4, 3, 4, 0, 4, 4, 1, 3, 4, 0, 3, 2, 1, 4, 2, 2, 2, 0, 4, 3, 2, 2, 3, 1, 4, 4, 1, 1, 0, 4, 0, 4, 0, 3, 2, 2, 0, 0, 0, 3, 1, 0, 3, 3, 0, 4, 3, 4, 3, 0, 2, 4, 1, 4, 1, 4, 2, 3, 4, 3, 1, 0, 4, 4, 1, 3, 2, 0, 3, 0, 4, 2, 4, 1, 3, 2, 3, 3, 4, 1, 1, 4, 0, 1, 2, 3, 4, 0, 2, 2, 0, 1, 3, 4, 4, 4, 4, 0, 2, 1, 2, 0, 0, 3, 1, 3, 0, 1, 3, 1, 4, 0, 1, 4, 3, 3, 2, 1, 4, 4, 3, 4, 3, 3, 1, 3, 4, 3, 1, 4, 1, 3, 0, 4, 3, 1, 2, 0, 0, 4, 2, 1, 1, 1, 0, 3, 0, 0, 4, 2, 2, 1, 1, 3, 1, 3, 0, 2, 2, 2, 1, 2, 3, 3, 2, 1, 0, 3, 3, 3, 0, 1, 4, 0, 0, 2, 4, 3, 0, 0, 1, 2, 1, 3] pubkeycol678 = [3, 2, 0, 2, 3, 2, 3, 3, 1, 1, 3, 3, 4, 2, 3, 2, 4, 1, 3, 4, 3, 1, 0, 2, 0, 0, 3, 1, 2, 0, 4, 1, 4, 3, 0, 2, 3, 0, 2, 1, 1, 3, 0, 0, 2, 2, 3, 4, 2, 0, 4, 3, 2, 0, 1, 1, 0, 4, 3, 1, 4, 3, 4, 1, 0, 3, 2, 0, 2, 0, 1, 0, 3, 3, 4, 0, 1, 2, 3, 1, 0, 1, 4, 3, 4, 2, 3, 1, 4, 1, 3, 0, 1, 4, 1, 2, 2, 4, 1, 4, 4, 4, 1, 1, 4, 2, 3, 1, 3, 2, 0, 4, 0, 4, 1, 4, 3, 0, 1, 1, 4, 3, 0, 2, 1, 0, 4, 0, 1, 4, 0, 3, 4, 2, 1, 0, 4, 1, 3, 1, 2, 3, 2, 0, 2, 2, 3, 4, 0, 1, 1, 1, 0, 0, 1, 1, 3, 3, 4, 0, 2, 3, 1, 0, 0, 3, 4, 0, 1, 0, 2, 0, 2, 0, 3, 3, 3, 4, 3, 4, 4, 4, 2, 1, 3, 0, 4, 4, 0, 1, 4, 3, 3, 1, 0, 2, 1, 1, 2, 2, 1, 3, 4, 3, 0, 4, 0, 2, 1, 4, 0, 0, 4, 1, 2, 3, 1, 1, 1, 2, 4, 3, 4, 3, 0, 2, 0, 1, 1, 1, 0, 4, 2, 4, 2, 2, 2, 3, 4, 0, 2, 4, 2, 2, 4, 0, 3, 1, 1, 1, 3, 1, 2, 4, 1, 3, 2, 4, 4, 4, 4, 3, 0, 1, 2, 3, 1, 2, 0, 4, 1, 3, 2, 4, 4, 1, 0, 1, 0, 3, 4, 1, 2, 1, 4, 0, 4, 1, 3, 4, 4, 1, 1, 0, 4, 3, 2, 4, 4, 0, 1, 2, 0, 4, 1, 3, 2, 1, 0, 3, 2, 1, 1, 3, 2, 3, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 4, 1, 1, 1, 0, 3, 3, 0, 3, 3, 0, 2, 3, 4, 2, 0, 1, 4, 4, 2, 1, 0, 2, 1, 4, 3, 0, 2, 3, 4, 3, 2, 3, 3, 2, 0, 2, 4, 2, 4, 0, 3, 4, 4, 1, 4, 1, 1, 0, 2, 4, 2, 2, 2, 4, 0, 4, 2, 2, 3, 3, 0, 0, 1, 2, 1, 4, 1, 3, 1, 1, 1, 2, 1] pubkeycol679 = [2, 1, 0, 1, 1, 3, 4, 4, 4, 0, 3, 1, 1, 4, 4, 2, 2, 1, 1, 3, 4, 4, 3, 4, 4, 0, 4, 0, 2, 1, 1, 1, 3, 0, 2, 2, 4, 3, 2, 0, 2, 4, 1, 0, 2, 3, 2, 2, 2, 4, 0, 4, 1, 3, 0, 0, 3, 3, 0, 4, 1, 0, 1, 1, 4, 0, 2, 1, 1, 1, 3, 1, 3, 1, 1, 0, 4, 2, 0, 2, 4, 3, 3, 2, 1, 3, 2, 4, 3, 3, 1, 3, 4, 4, 1, 1, 4, 1, 0, 4, 1, 0, 4, 0, 4, 4, 3, 0, 0, 0, 4, 0, 4, 4, 2, 2, 3, 1, 1, 2, 2, 0, 4, 2, 2, 2, 1, 2, 2, 2, 2, 1, 3, 2, 4, 0, 0, 1, 2, 2, 2, 0, 2, 4, 2, 0, 2, 1, 2, 0, 3, 2, 4, 4, 0, 0, 2, 1, 3, 3, 1, 0, 3, 4, 1, 4, 0, 2, 1, 3, 1, 2, 3, 2, 3, 0, 1, 2, 1, 0, 2, 2, 1, 1, 3, 1, 2, 4, 2, 3, 2, 1, 3, 2, 3, 3, 0, 2, 0, 3, 2, 4, 4, 3, 2, 3, 2, 3, 2, 4, 4, 1, 3, 4, 3, 4, 1, 0, 3, 1, 1, 3, 4, 1, 0, 3, 3, 2, 4, 1, 1, 3, 1, 4, 4, 4, 4, 4, 0, 3, 3, 1, 4, 2, 0, 4, 4, 4, 3, 4, 0, 0, 2, 1, 4, 4, 3, 2, 4, 3, 4, 2, 0, 3, 2, 1, 2, 3, 0, 0, 1, 2, 4, 3, 0, 1, 4, 1, 1, 3, 0, 2, 1, 2, 1, 1, 4, 0, 2, 0, 2, 3, 4, 1, 3, 1, 1, 4, 2, 0, 4, 2, 0, 0, 1, 1, 3, 4, 3, 1, 3, 3, 0, 3, 3, 4, 0, 3, 4, 1, 2, 2, 4, 2, 1, 2, 1, 1, 2, 0, 0, 0, 3, 4, 4, 2, 3, 2, 1, 2, 1, 2, 2, 4, 4, 1, 2, 3, 4, 1, 2, 1, 0, 0, 4, 1, 2, 4, 0, 3, 0, 0, 0, 1, 1, 0, 4, 0, 4, 3, 0, 4, 4, 0, 0, 4, 2, 4, 1, 2, 3, 1, 3, 3, 3, 0, 0, 2, 0, 2, 2, 4, 0, 1, 2, 2, 4, 3, 1, 4] pubkeycol680 = [0, 1, 2, 0, 0, 4, 3, 4, 3, 1, 2, 0, 4, 2, 0, 2, 0, 0, 2, 0, 0, 2, 3, 0, 0, 1, 4, 3, 3, 2, 4, 2, 1, 1, 4, 2, 0, 0, 3, 0, 0, 4, 4, 3, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 1, 1, 4, 4, 1, 4, 0, 4, 3, 2, 0, 2, 0, 1, 2, 4, 4, 2, 2, 0, 0, 1, 4, 2, 3, 4, 2, 2, 0, 4, 0, 2, 4, 2, 4, 4, 2, 0, 1, 0, 3, 0, 1, 2, 2, 0, 4, 0, 0, 4, 4, 3, 0, 1, 0, 1, 2, 1, 0, 2, 0, 3, 4, 2, 0, 3, 3, 0, 2, 3, 1, 2, 1, 4, 3, 0, 4, 0, 2, 3, 4, 0, 4, 0, 0, 3, 2, 0, 3, 3, 3, 0, 2, 0, 2, 4, 0, 2, 4, 1, 1, 4, 3, 3, 2, 3, 3, 4, 2, 3, 2, 3, 0, 0, 0, 1, 4, 4, 1, 1, 4, 2, 1, 3, 4, 3, 2, 0, 2, 0, 2, 0, 0, 2, 3, 2, 0, 3, 0, 3, 0, 2, 0, 3, 0, 1, 3, 1, 4, 2, 0, 3, 3, 4, 0, 2, 1, 2, 1, 3, 3, 4, 4, 1, 4, 0, 4, 4, 3, 3, 3, 4, 0, 2, 0, 1, 3, 3, 0, 2, 3, 3, 0, 3, 3, 4, 1, 1, 4, 0, 4, 4, 0, 1, 1, 2, 3, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 4, 0, 1, 4, 3, 2, 2, 1, 4, 0, 1, 0, 3, 1, 1, 1, 2, 3, 3, 4, 2, 1, 0, 0, 4, 0, 0, 1, 3, 0, 3, 2, 2, 3, 1, 4, 2, 2, 3, 0, 1, 4, 0, 3, 2, 2, 3, 1, 4, 0, 1, 3, 3, 0, 0, 0, 3, 1, 1, 4, 2, 1, 4, 0, 3, 3, 4, 4, 0, 2, 1, 3, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 3, 1, 4, 4, 1, 1, 4, 1, 2, 1, 4, 0, 4, 1, 2, 4, 1, 2, 2, 1, 1, 3, 1, 3, 0, 4, 0, 4, 3, 3, 0, 3, 1, 2, 0, 1, 1, 2, 1, 3, 1, 1, 0, 2, 3, 1, 1, 4, 2, 0, 1, 4, 0] pubkeycol681 = [1, 1, 0, 3, 3, 0, 2, 1, 2, 4, 1, 2, 4, 1, 1, 4, 0, 0, 3, 2, 4, 1, 0, 0, 1, 4, 4, 0, 0, 3, 0, 3, 4, 1, 4, 1, 2, 1, 4, 3, 0, 0, 1, 4, 1, 0, 2, 4, 3, 1, 3, 4, 0, 3, 2, 1, 0, 0, 0, 4, 0, 3, 0, 1, 4, 4, 2, 2, 3, 1, 3, 0, 4, 4, 4, 4, 2, 3, 1, 2, 4, 2, 3, 0, 4, 3, 4, 1, 4, 2, 0, 2, 3, 0, 0, 4, 0, 4, 4, 3, 1, 1, 3, 2, 4, 2, 2, 2, 2, 3, 0, 0, 3, 0, 2, 0, 3, 1, 2, 2, 2, 1, 0, 2, 1, 3, 1, 0, 3, 2, 4, 4, 4, 2, 0, 0, 0, 4, 1, 2, 1, 1, 3, 2, 0, 3, 3, 3, 3, 3, 0, 4, 4, 0, 4, 3, 2, 0, 1, 4, 3, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 4, 2, 0, 4, 1, 0, 0, 4, 3, 0, 4, 2, 1, 0, 2, 0, 0, 1, 4, 3, 0, 0, 1, 2, 0, 3, 1, 3, 2, 0, 4, 1, 0, 2, 2, 1, 1, 0, 1, 3, 2, 2, 2, 1, 2, 0, 4, 3, 4, 2, 1, 4, 1, 3, 0, 4, 2, 3, 0, 3, 1, 2, 1, 1, 2, 2, 1, 0, 4, 3, 0, 3, 1, 0, 4, 4, 0, 1, 2, 1, 0, 0, 0, 0, 4, 1, 3, 2, 2, 4, 0, 2, 1, 1, 4, 4, 4, 4, 3, 0, 1, 4, 2, 0, 2, 3, 3, 2, 1, 4, 0, 1, 1, 1, 2, 0, 1, 4, 0, 2, 2, 3, 2, 3, 0, 4, 3, 3, 3, 3, 2, 1, 0, 2, 1, 3, 0, 1, 0, 2, 2, 3, 4, 3, 0, 0, 3, 4, 2, 1, 1, 1, 4, 3, 4, 0, 1, 2, 4, 4, 4, 4, 2, 0, 4, 3, 1, 0, 4, 2, 4, 1, 0, 0, 2, 0, 2, 2, 4, 0, 3, 0, 1, 4, 4, 4, 4, 2, 1, 1, 0, 0, 1, 4, 1, 4, 4, 4, 3, 1, 1, 1, 4, 1, 4, 4, 3, 1, 4, 1, 0, 0, 1, 4, 0, 2, 0, 3, 3, 4, 4, 3, 4, 3, 1, 4, 0, 1] pubkeycol682 = [3, 1, 3, 4, 0, 2, 1, 3, 0, 2, 3, 4, 4, 1, 4, 0, 3, 3, 2, 3, 3, 2, 1, 1, 1, 1, 4, 3, 4, 1, 4, 1, 2, 1, 3, 3, 3, 2, 4, 2, 0, 1, 3, 3, 1, 3, 0, 1, 1, 1, 1, 3, 0, 0, 0, 3, 4, 3, 3, 4, 4, 1, 3, 1, 2, 4, 1, 0, 4, 2, 1, 4, 3, 0, 1, 2, 0, 0, 3, 3, 1, 2, 2, 1, 3, 4, 1, 0, 3, 3, 0, 2, 4, 1, 1, 1, 3, 0, 1, 4, 1, 3, 0, 0, 4, 3, 3, 2, 2, 2, 3, 3, 2, 3, 3, 3, 1, 0, 1, 3, 1, 4, 1, 4, 2, 3, 1, 0, 0, 3, 2, 4, 4, 1, 1, 3, 1, 4, 1, 4, 2, 3, 1, 2, 0, 0, 0, 4, 1, 2, 2, 3, 1, 4, 4, 0, 2, 2, 1, 4, 4, 1, 1, 4, 4, 3, 3, 4, 0, 0, 3, 2, 1, 2, 2, 2, 2, 3, 0, 0, 2, 2, 1, 4, 3, 2, 2, 3, 4, 4, 3, 1, 3, 0, 4, 0, 1, 2, 3, 4, 0, 1, 2, 4, 4, 2, 0, 2, 0, 2, 3, 0, 0, 0, 4, 0, 4, 3, 4, 4, 4, 3, 1, 2, 1, 3, 4, 0, 0, 0, 0, 2, 4, 2, 2, 3, 4, 0, 0, 3, 1, 0, 1, 0, 3, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 3, 0, 0, 3, 3, 1, 1, 3, 0, 1, 0, 1, 1, 3, 3, 2, 1, 3, 4, 3, 3, 2, 4, 1, 1, 1, 4, 1, 1, 2, 0, 2, 2, 0, 4, 3, 3, 0, 4, 2, 0, 4, 3, 2, 4, 2, 4, 0, 0, 3, 3, 1, 0, 0, 2, 4, 0, 1, 3, 3, 1, 4, 0, 2, 2, 2, 1, 4, 2, 1, 4, 3, 1, 4, 3, 4, 2, 4, 3, 0, 3, 4, 1, 1, 2, 0, 4, 4, 2, 4, 4, 1, 1, 4, 2, 3, 4, 3, 3, 4, 3, 3, 0, 1, 3, 2, 3, 3, 4, 2, 3, 2, 2, 0, 3, 0, 0, 0, 1, 0, 4, 0, 0, 1, 3, 4, 3, 3, 3, 4, 4, 0, 4, 4, 4, 3, 0, 3, 1, 4, 2, 0, 4, 2, 2] pubkeycol683 = [4, 1, 3, 4, 4, 3, 4, 3, 1, 1, 2, 0, 3, 2, 0, 4, 0, 0, 2, 3, 0, 2, 1, 0, 1, 2, 4, 3, 4, 4, 2, 4, 1, 0, 3, 0, 1, 1, 0, 2, 3, 2, 1, 4, 1, 3, 1, 3, 0, 4, 2, 4, 3, 4, 2, 4, 2, 0, 3, 0, 0, 0, 4, 2, 4, 0, 4, 1, 1, 3, 4, 4, 1, 4, 1, 2, 0, 1, 1, 2, 3, 0, 4, 1, 0, 1, 1, 2, 3, 2, 1, 2, 2, 1, 4, 4, 2, 4, 2, 2, 2, 3, 2, 0, 2, 2, 3, 1, 3, 0, 4, 1, 3, 0, 0, 1, 2, 4, 0, 1, 4, 0, 2, 0, 1, 0, 1, 3, 0, 1, 4, 4, 4, 0, 4, 2, 1, 2, 1, 3, 1, 1, 1, 3, 1, 2, 0, 0, 3, 4, 4, 1, 2, 3, 3, 1, 2, 4, 0, 3, 0, 4, 0, 2, 2, 1, 1, 1, 0, 2, 3, 4, 2, 2, 1, 2, 2, 3, 3, 3, 2, 4, 3, 1, 0, 4, 3, 0, 3, 2, 4, 4, 4, 4, 0, 1, 1, 4, 1, 1, 0, 1, 2, 3, 4, 0, 0, 4, 1, 1, 1, 3, 1, 4, 0, 1, 1, 1, 0, 4, 1, 3, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 0, 4, 4, 4, 2, 3, 4, 3, 3, 2, 1, 3, 0, 2, 2, 2, 1, 2, 1, 0, 4, 1, 1, 1, 3, 0, 4, 1, 2, 1, 0, 2, 4, 4, 2, 1, 3, 1, 4, 0, 2, 1, 3, 3, 3, 1, 0, 3, 4, 4, 1, 4, 1, 3, 2, 0, 1, 1, 4, 2, 0, 3, 3, 3, 2, 1, 1, 2, 3, 1, 2, 3, 0, 2, 4, 0, 2, 0, 2, 1, 0, 4, 0, 4, 0, 0, 0, 2, 3, 1, 2, 0, 3, 1, 1, 1, 0, 0, 1, 3, 3, 2, 1, 0, 3, 0, 4, 4, 2, 2, 2, 4, 3, 0, 2, 3, 3, 2, 4, 0, 0, 3, 1, 2, 4, 2, 0, 3, 1, 3, 4, 4, 3, 1, 4, 4, 0, 3, 0, 0, 3, 3, 2, 3, 3, 4, 0, 0, 4, 2, 4, 3, 2, 1, 3, 2, 0, 2, 2, 2, 4, 4, 1, 1, 2, 3, 1, 2] pubkeycol684 = [1, 0, 4, 3, 0, 1, 0, 4, 2, 4, 4, 2, 4, 3, 3, 1, 1, 0, 1, 0, 1, 2, 4, 2, 4, 2, 4, 4, 3, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 1, 4, 2, 1, 1, 2, 1, 3, 2, 1, 0, 4, 0, 3, 0, 0, 2, 1, 3, 3, 4, 1, 4, 3, 1, 4, 1, 1, 0, 2, 3, 4, 4, 2, 0, 0, 4, 3, 0, 1, 0, 4, 3, 2, 3, 1, 1, 3, 4, 1, 4, 1, 2, 4, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 3, 0, 4, 0, 3, 0, 1, 2, 4, 4, 0, 0, 2, 4, 1, 4, 4, 0, 2, 2, 1, 1, 3, 4, 2, 3, 4, 3, 2, 1, 1, 0, 1, 3, 2, 4, 3, 0, 4, 1, 0, 0, 2, 1, 2, 2, 3, 4, 0, 1, 0, 0, 4, 0, 4, 4, 0, 3, 1, 3, 4, 4, 4, 3, 1, 3, 1, 0, 4, 0, 4, 0, 3, 2, 0, 2, 3, 0, 2, 4, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 2, 4, 1, 1, 0, 0, 4, 1, 4, 3, 2, 0, 3, 2, 2, 2, 2, 4, 3, 1, 0, 0, 4, 4, 2, 3, 3, 0, 3, 0, 0, 0, 2, 4, 0, 3, 3, 4, 1, 3, 4, 1, 4, 3, 4, 4, 0, 1, 0, 3, 4, 3, 3, 4, 0, 4, 2, 0, 3, 1, 0, 2, 2, 3, 1, 1, 2, 0, 1, 3, 1, 1, 0, 4, 1, 1, 2, 4, 4, 1, 4, 4, 3, 0, 1, 2, 4, 1, 2, 1, 1, 1, 0, 3, 3, 0, 4, 4, 0, 1, 3, 0, 1, 3, 2, 3, 4, 2, 4, 4, 0, 1, 1, 0, 4, 2, 2, 0, 4, 1, 3, 0, 4, 3, 1, 3, 4, 4, 0, 2, 2, 2, 3, 0, 2, 2, 1, 2, 0, 1, 1, 1, 4, 3, 2, 3, 2, 4, 1, 1, 2, 0, 1, 0, 1, 3, 3, 3, 2, 4, 2, 2, 0, 4, 1, 0, 4, 0, 0, 2, 0, 2, 1, 1, 2, 4, 3, 2, 2, 4, 4, 2, 0, 2, 0, 0, 4, 0, 3, 3, 3, 0, 4, 0, 4, 1, 4, 2, 3, 2, 0, 3, 1, 3] pubkeycol685 = [0, 1, 2, 1, 2, 0, 1, 0, 3, 2, 3, 4, 4, 4, 1, 1, 0, 0, 2, 1, 0, 4, 2, 2, 3, 0, 4, 0, 0, 2, 4, 0, 1, 3, 1, 2, 4, 2, 0, 4, 2, 4, 3, 3, 0, 3, 1, 3, 2, 3, 3, 0, 2, 3, 1, 1, 1, 0, 2, 1, 1, 0, 1, 4, 4, 3, 2, 3, 2, 0, 0, 0, 4, 1, 1, 3, 1, 0, 2, 3, 3, 2, 4, 3, 2, 2, 0, 0, 3, 3, 0, 0, 4, 1, 4, 0, 2, 4, 1, 3, 4, 1, 4, 4, 3, 4, 2, 0, 1, 3, 4, 3, 1, 4, 1, 0, 4, 1, 0, 0, 3, 1, 2, 2, 2, 2, 3, 3, 1, 2, 0, 0, 3, 3, 4, 4, 4, 0, 0, 4, 0, 2, 3, 3, 0, 2, 3, 0, 3, 3, 1, 2, 4, 0, 0, 4, 1, 0, 2, 2, 2, 2, 0, 1, 1, 3, 2, 1, 1, 4, 3, 1, 0, 1, 2, 0, 4, 2, 2, 1, 4, 0, 1, 0, 3, 1, 2, 0, 0, 1, 3, 3, 1, 3, 4, 4, 4, 0, 4, 3, 2, 3, 0, 4, 4, 4, 4, 0, 1, 2, 3, 4, 3, 2, 1, 0, 3, 3, 2, 3, 2, 2, 0, 4, 4, 4, 0, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 2, 4, 2, 1, 4, 3, 2, 1, 1, 1, 2, 4, 1, 2, 2, 4, 1, 4, 3, 1, 3, 4, 4, 3, 4, 3, 3, 3, 1, 4, 4, 3, 3, 0, 0, 3, 3, 1, 1, 3, 0, 4, 4, 1, 3, 4, 2, 4, 4, 3, 3, 2, 1, 0, 4, 1, 0, 4, 3, 4, 0, 2, 1, 4, 0, 4, 4, 1, 3, 4, 1, 3, 1, 2, 1, 1, 3, 3, 4, 4, 1, 4, 4, 0, 2, 4, 1, 0, 3, 0, 3, 1, 3, 4, 1, 1, 1, 4, 2, 1, 0, 4, 4, 4, 3, 1, 1, 1, 0, 2, 3, 0, 2, 4, 2, 3, 3, 2, 1, 4, 4, 3, 0, 2, 4, 3, 3, 0, 1, 1, 2, 1, 3, 1, 2, 4, 2, 3, 4, 4, 2, 3, 3, 0, 1, 3, 2, 4, 2, 1, 3, 0, 2, 4, 0, 1, 0, 1, 3, 1, 4, 1, 3] pubkeycol686 = [2, 4, 2, 1, 0, 1, 2, 0, 1, 1, 3, 2, 4, 3, 2, 4, 3, 2, 2, 2, 3, 0, 1, 1, 0, 1, 2, 4, 4, 4, 4, 1, 4, 2, 3, 0, 0, 1, 2, 0, 0, 0, 0, 4, 1, 0, 3, 1, 3, 2, 3, 3, 2, 1, 1, 4, 3, 3, 1, 2, 2, 4, 1, 3, 3, 0, 0, 0, 0, 3, 2, 2, 1, 2, 2, 1, 3, 2, 4, 3, 3, 2, 4, 1, 2, 4, 3, 3, 1, 1, 2, 4, 1, 1, 2, 4, 4, 2, 1, 3, 1, 4, 4, 3, 4, 0, 0, 4, 0, 0, 1, 0, 0, 2, 3, 1, 4, 4, 0, 2, 4, 1, 2, 2, 1, 4, 2, 1, 3, 1, 4, 4, 0, 4, 2, 4, 3, 4, 2, 4, 4, 3, 3, 2, 0, 4, 0, 2, 1, 4, 2, 2, 1, 3, 0, 4, 1, 3, 0, 3, 0, 1, 3, 0, 3, 1, 4, 3, 4, 1, 4, 3, 3, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 4, 3, 0, 4, 0, 1, 2, 4, 1, 1, 2, 3, 3, 4, 3, 3, 1, 4, 2, 2, 4, 0, 2, 1, 3, 2, 1, 1, 0, 3, 1, 3, 3, 2, 4, 2, 3, 3, 4, 3, 4, 4, 3, 0, 0, 4, 1, 3, 1, 0, 2, 2, 0, 3, 4, 2, 4, 0, 1, 1, 2, 3, 1, 0, 1, 3, 1, 4, 3, 2, 1, 4, 2, 4, 0, 2, 2, 2, 0, 4, 4, 1, 1, 0, 2, 3, 2, 4, 4, 3, 4, 1, 3, 4, 3, 0, 3, 0, 0, 3, 2, 2, 4, 3, 0, 1, 1, 3, 0, 0, 1, 1, 0, 3, 3, 4, 1, 2, 4, 4, 3, 1, 4, 2, 2, 0, 1, 3, 1, 1, 3, 3, 1, 3, 2, 2, 1, 3, 3, 1, 4, 3, 3, 0, 1, 3, 2, 4, 2, 2, 3, 4, 0, 1, 2, 3, 4, 1, 0, 0, 1, 2, 3, 1, 2, 2, 1, 1, 4, 3, 3, 1, 2, 3, 2, 3, 3, 0, 2, 1, 4, 4, 4, 2, 2, 0, 1, 3, 3, 3, 0, 1, 4, 4, 1, 1, 3, 4, 0, 4, 2, 1, 3, 1, 4, 0, 0, 1, 4, 2, 1, 3, 1, 2, 1] pubkeycol687 = [3, 3, 0, 3, 2, 4, 1, 1, 1, 2, 2, 1, 3, 1, 2, 0, 0, 1, 1, 3, 0, 4, 1, 1, 1, 1, 3, 2, 3, 4, 2, 0, 0, 3, 1, 2, 4, 1, 0, 1, 0, 1, 2, 0, 1, 1, 3, 2, 2, 3, 4, 3, 4, 0, 2, 0, 3, 3, 2, 4, 0, 0, 4, 4, 3, 3, 3, 1, 3, 3, 1, 1, 0, 1, 0, 1, 3, 4, 2, 2, 0, 4, 4, 0, 2, 3, 1, 2, 2, 1, 3, 0, 2, 4, 0, 2, 4, 0, 1, 3, 0, 1, 0, 0, 2, 0, 2, 3, 3, 3, 1, 0, 3, 4, 1, 2, 0, 1, 4, 3, 0, 2, 1, 3, 2, 0, 3, 3, 3, 4, 4, 1, 4, 3, 1, 4, 3, 0, 3, 2, 3, 1, 2, 2, 4, 1, 2, 3, 2, 2, 3, 3, 3, 1, 1, 3, 1, 4, 4, 3, 3, 3, 4, 1, 2, 4, 1, 3, 4, 3, 1, 0, 3, 3, 4, 0, 2, 1, 1, 0, 3, 2, 0, 3, 2, 4, 2, 1, 1, 0, 0, 4, 3, 1, 0, 0, 1, 3, 1, 3, 0, 2, 2, 3, 1, 4, 2, 3, 2, 2, 0, 1, 4, 2, 0, 3, 1, 1, 2, 0, 1, 2, 3, 2, 3, 4, 2, 4, 2, 4, 0, 0, 0, 1, 4, 1, 2, 2, 3, 4, 4, 0, 1, 3, 1, 4, 1, 3, 3, 4, 3, 4, 2, 3, 1, 2, 3, 3, 4, 0, 0, 2, 4, 2, 3, 0, 4, 1, 3, 3, 2, 4, 3, 2, 4, 4, 0, 3, 4, 3, 4, 1, 3, 1, 4, 1, 4, 1, 4, 3, 4, 1, 2, 4, 3, 1, 2, 2, 4, 0, 1, 4, 0, 0, 4, 3, 0, 2, 1, 1, 4, 2, 0, 4, 2, 0, 4, 1, 1, 0, 2, 1, 2, 0, 1, 4, 4, 0, 2, 3, 1, 0, 4, 1, 1, 3, 3, 3, 1, 3, 4, 0, 0, 4, 3, 4, 0, 3, 4, 3, 1, 3, 4, 3, 0, 4, 0, 4, 2, 4, 2, 0, 4, 0, 0, 1, 4, 4, 2, 4, 4, 3, 4, 1, 2, 4, 1, 1, 1, 0, 4, 1, 4, 4, 4, 4, 2, 0, 4, 3, 2, 1, 4, 0, 2, 4, 0, 4, 0, 3] pubkeycol688 = [1, 2, 3, 3, 3, 4, 4, 0, 2, 1, 4, 3, 0, 4, 1, 1, 2, 1, 2, 1, 3, 4, 2, 0, 0, 4, 3, 2, 2, 0, 4, 4, 0, 0, 3, 4, 1, 1, 0, 1, 3, 1, 4, 3, 0, 1, 1, 1, 0, 1, 0, 4, 2, 1, 0, 4, 3, 2, 4, 4, 3, 0, 4, 3, 3, 4, 1, 4, 2, 4, 3, 3, 3, 4, 1, 2, 4, 3, 3, 1, 0, 3, 4, 3, 3, 4, 1, 3, 4, 3, 2, 4, 0, 2, 1, 1, 0, 0, 1, 4, 3, 1, 2, 1, 3, 1, 1, 4, 1, 1, 0, 4, 3, 4, 0, 0, 1, 0, 1, 0, 2, 3, 4, 1, 2, 3, 1, 0, 4, 3, 2, 3, 0, 1, 4, 4, 0, 3, 3, 3, 0, 3, 1, 0, 4, 3, 3, 2, 1, 0, 1, 0, 4, 0, 4, 0, 2, 3, 1, 3, 1, 4, 3, 4, 0, 2, 0, 4, 3, 3, 3, 0, 0, 4, 4, 3, 1, 1, 1, 4, 4, 1, 4, 3, 0, 4, 1, 4, 3, 2, 3, 3, 4, 1, 1, 2, 2, 2, 3, 0, 1, 2, 0, 3, 1, 2, 3, 0, 1, 1, 0, 4, 0, 3, 1, 4, 0, 0, 4, 0, 1, 4, 2, 0, 2, 2, 0, 4, 0, 3, 1, 3, 0, 2, 3, 0, 3, 4, 1, 4, 4, 4, 4, 2, 1, 1, 4, 1, 1, 0, 2, 2, 0, 2, 4, 3, 3, 1, 1, 3, 2, 4, 0, 1, 3, 1, 4, 2, 0, 2, 0, 2, 3, 3, 0, 4, 0, 2, 0, 1, 4, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 4, 1, 0, 0, 4, 4, 1, 3, 2, 0, 4, 2, 2, 1, 3, 1, 3, 1, 1, 3, 2, 2, 2, 4, 3, 2, 1, 4, 4, 0, 2, 0, 4, 4, 2, 3, 4, 0, 1, 4, 0, 2, 0, 0, 1, 2, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3, 3, 0, 1, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 3, 2, 4, 0, 3, 1, 1, 2, 3, 2, 2, 2, 4, 0, 1, 4, 3, 2, 3, 4, 4, 4, 1, 0, 2, 3, 2, 3, 3, 2, 0, 0, 3, 4, 4, 4, 4, 2, 3, 3] pubkeycol689 = [0, 2, 4, 0, 3, 4, 4, 2, 0, 3, 2, 3, 1, 2, 1, 4, 3, 1, 4, 0, 2, 0, 3, 0, 2, 2, 4, 2, 2, 2, 2, 2, 3, 4, 2, 0, 0, 1, 1, 0, 4, 3, 0, 4, 4, 1, 2, 1, 3, 2, 0, 1, 2, 1, 4, 1, 2, 1, 0, 3, 3, 0, 3, 0, 2, 2, 1, 3, 1, 2, 1, 3, 3, 4, 0, 1, 3, 2, 2, 0, 3, 1, 0, 1, 0, 3, 4, 2, 2, 4, 0, 0, 4, 0, 3, 4, 1, 3, 0, 2, 4, 3, 2, 1, 3, 2, 2, 1, 3, 2, 1, 4, 1, 4, 3, 2, 3, 4, 1, 4, 0, 3, 0, 1, 0, 2, 1, 2, 4, 0, 4, 1, 4, 0, 2, 0, 2, 1, 3, 2, 1, 0, 1, 3, 1, 3, 0, 4, 4, 0, 4, 0, 2, 2, 3, 0, 4, 4, 3, 4, 2, 0, 4, 1, 0, 0, 0, 4, 1, 1, 2, 3, 3, 3, 2, 1, 1, 1, 2, 3, 3, 2, 4, 1, 0, 0, 3, 2, 0, 0, 2, 1, 4, 2, 4, 0, 4, 1, 0, 0, 4, 1, 0, 4, 3, 2, 2, 3, 4, 1, 2, 1, 1, 4, 4, 1, 2, 2, 2, 4, 3, 0, 4, 0, 1, 3, 4, 3, 2, 3, 1, 2, 0, 2, 3, 3, 3, 2, 4, 0, 0, 1, 2, 3, 2, 0, 2, 0, 0, 0, 3, 0, 4, 2, 2, 0, 3, 2, 3, 1, 0, 2, 2, 4, 2, 0, 3, 1, 3, 2, 0, 3, 1, 0, 2, 2, 3, 1, 3, 1, 1, 2, 0, 0, 4, 1, 4, 1, 2, 4, 4, 0, 0, 4, 3, 4, 0, 1, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 1, 2, 2, 0, 0, 0, 4, 4, 3, 1, 2, 2, 2, 4, 0, 4, 1, 1, 0, 1, 2, 0, 1, 1, 0, 3, 3, 0, 0, 4, 3, 0, 4, 3, 4, 4, 1, 4, 4, 2, 3, 3, 3, 0, 4, 3, 4, 2, 4, 4, 0, 3, 3, 2, 3, 1, 0, 3, 1, 1, 0, 2, 2, 3, 2, 2, 0, 2, 4, 3, 4, 0, 4, 3, 1, 4, 4, 3, 0, 4, 4, 3, 3, 2, 4, 4, 2, 0, 4, 3, 3, 0] pubkeycol690 = [1, 1, 3, 1, 4, 2, 1, 4, 3, 4, 0, 0, 2, 1, 3, 1, 2, 1, 3, 3, 3, 4, 0, 1, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 4, 0, 0, 0, 2, 1, 0, 3, 4, 3, 2, 1, 2, 1, 1, 0, 1, 0, 4, 3, 4, 2, 3, 1, 0, 0, 3, 1, 4, 4, 2, 4, 0, 2, 0, 2, 4, 4, 1, 3, 3, 1, 1, 0, 2, 2, 1, 0, 3, 0, 4, 4, 1, 4, 1, 2, 3, 0, 2, 3, 0, 3, 3, 2, 0, 4, 2, 3, 2, 3, 0, 2, 4, 3, 4, 0, 4, 1, 0, 1, 1, 4, 0, 4, 1, 3, 1, 0, 0, 3, 1, 1, 0, 4, 3, 2, 2, 1, 0, 1, 4, 2, 4, 3, 2, 1, 1, 3, 3, 0, 2, 4, 1, 3, 4, 1, 1, 3, 0, 2, 4, 1, 3, 4, 1, 0, 0, 4, 3, 0, 0, 3, 2, 2, 1, 4, 3, 1, 2, 1, 2, 4, 3, 0, 0, 1, 3, 4, 1, 0, 0, 1, 3, 2, 0, 3, 1, 4, 3, 0, 2, 3, 4, 3, 1, 2, 1, 1, 0, 0, 1, 4, 1, 1, 3, 2, 2, 3, 0, 3, 0, 2, 1, 2, 3, 0, 4, 3, 3, 2, 1, 4, 3, 0, 3, 3, 4, 1, 2, 0, 3, 2, 3, 4, 0, 3, 4, 4, 4, 1, 4, 1, 3, 2, 1, 0, 4, 2, 1, 1, 4, 3, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 3, 4, 0, 2, 3, 2, 1, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 3, 1, 3, 2, 3, 2, 2, 1, 1, 3, 2, 2, 4, 3, 0, 2, 2, 0, 4, 0, 0, 3, 1, 0, 0, 0, 0, 4, 4, 2, 3, 4, 3, 0, 2, 4, 3, 0, 3, 2, 2, 4, 4, 1, 4, 2, 3, 1, 1, 4, 2, 4, 4, 3, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 3, 4, 3, 1, 0, 2, 0, 1, 1, 0, 0, 2, 4, 0, 4, 4, 0, 2, 0, 2, 3, 2, 3, 4, 4, 2, 1, 0, 2, 4, 3, 1, 3, 2, 0, 4, 1, 1, 3, 1, 1, 2, 1, 0] pubkeycol691 = [4, 0, 4, 0, 3, 0, 3, 4, 1, 3, 1, 3, 4, 0, 1, 2, 1, 1, 1, 4, 1, 0, 0, 2, 0, 3, 3, 4, 3, 0, 4, 0, 0, 0, 1, 3, 1, 0, 0, 1, 2, 2, 4, 0, 0, 1, 1, 2, 0, 3, 2, 3, 0, 3, 1, 0, 1, 1, 2, 1, 2, 4, 3, 1, 2, 0, 4, 0, 3, 4, 0, 2, 0, 0, 1, 2, 1, 3, 3, 3, 2, 1, 4, 4, 2, 4, 3, 1, 1, 3, 4, 0, 0, 4, 1, 4, 4, 1, 1, 4, 3, 2, 4, 2, 2, 3, 3, 4, 0, 2, 2, 2, 1, 3, 3, 4, 4, 1, 4, 2, 1, 4, 4, 0, 2, 4, 1, 2, 0, 4, 4, 0, 4, 4, 3, 2, 4, 2, 2, 3, 4, 4, 4, 0, 1, 3, 4, 1, 4, 0, 0, 1, 0, 3, 4, 0, 3, 4, 3, 4, 2, 1, 0, 2, 3, 1, 1, 3, 3, 2, 4, 1, 2, 4, 3, 4, 4, 2, 0, 3, 0, 1, 0, 1, 2, 4, 4, 4, 4, 0, 0, 3, 3, 1, 0, 1, 4, 1, 1, 0, 0, 0, 2, 3, 1, 4, 0, 4, 4, 2, 3, 1, 3, 0, 1, 3, 0, 2, 3, 2, 4, 2, 0, 4, 2, 4, 1, 2, 0, 2, 0, 2, 3, 0, 1, 4, 2, 4, 2, 4, 3, 1, 4, 1, 3, 3, 4, 1, 3, 1, 3, 1, 2, 3, 3, 0, 0, 1, 1, 4, 2, 2, 3, 0, 0, 4, 1, 4, 4, 2, 0, 3, 2, 1, 4, 0, 0, 4, 4, 1, 2, 4, 3, 3, 2, 4, 4, 0, 0, 2, 2, 3, 4, 1, 1, 3, 4, 0, 4, 1, 4, 3, 2, 0, 3, 2, 0, 2, 1, 3, 2, 0, 0, 4, 3, 4, 3, 4, 2, 3, 0, 0, 1, 4, 1, 3, 4, 0, 1, 3, 2, 1, 4, 1, 2, 3, 1, 3, 4, 1, 3, 2, 2, 1, 1, 3, 3, 2, 4, 3, 1, 0, 4, 4, 4, 4, 4, 3, 2, 4, 4, 1, 4, 2, 3, 1, 3, 2, 0, 3, 0, 3, 0, 3, 3, 4, 0, 4, 4, 4, 1, 4, 4, 2, 3, 3, 3, 0, 4, 0, 0, 1, 2, 0, 2, 4, 0, 3, 2, 1] pubkeycol692 = [4, 3, 2, 1, 1, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 1, 0, 1, 3, 4, 4, 3, 2, 3, 4, 0, 0, 2, 1, 2, 0, 2, 3, 3, 1, 0, 3, 4, 1, 2, 1, 0, 4, 3, 4, 3, 3, 2, 3, 3, 4, 0, 3, 2, 4, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 3, 3, 1, 4, 2, 4, 3, 4, 0, 4, 1, 3, 0, 0, 4, 3, 1, 4, 3, 4, 2, 2, 4, 0, 0, 4, 0, 3, 2, 1, 0, 0, 2, 2, 1, 2, 3, 0, 1, 3, 4, 1, 4, 4, 3, 2, 2, 2, 4, 3, 1, 2, 2, 0, 0, 4, 3, 2, 2, 0, 0, 2, 1, 4, 2, 2, 1, 2, 2, 4, 3, 4, 0, 4, 3, 1, 4, 0, 1, 1, 3, 0, 0, 3, 0, 4, 4, 0, 2, 4, 1, 0, 4, 3, 1, 1, 2, 1, 3, 4, 1, 4, 3, 2, 1, 1, 4, 2, 1, 1, 1, 2, 1, 0, 4, 3, 4, 3, 0, 0, 3, 4, 1, 3, 1, 2, 0, 1, 3, 3, 2, 3, 1, 1, 0, 2, 0, 4, 0, 1, 3, 2, 2, 4, 2, 4, 4, 4, 0, 4, 2, 1, 2, 3, 3, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 3, 4, 3, 0, 1, 4, 1, 3, 0, 1, 0, 4, 4, 1, 4, 0, 4, 2, 4, 3, 2, 4, 2, 2, 4, 1, 4, 2, 1, 2, 1, 3, 1, 0, 4, 1, 2, 1, 0, 2, 1, 3, 1, 3, 1, 2, 1, 0, 4, 4, 4, 4, 0, 2, 3, 1, 1, 1, 2, 0, 2, 1, 3, 0, 3, 3, 3, 0, 4, 1, 2, 3, 4, 2, 4, 0, 1, 3, 0, 1, 2, 1, 1, 1, 3, 4, 3, 2, 3, 2, 2, 2, 1, 0, 0, 4, 0, 2, 2, 0, 3, 0, 4, 3, 3, 3, 1, 3, 4, 1, 2, 0, 1, 3, 2, 1, 1, 0, 0, 4, 4, 2, 1, 3, 0, 0, 3, 4, 0, 3, 2, 2, 2, 1, 0, 0, 1, 1, 0, 4, 1, 4, 2, 3, 1, 2, 4, 1, 3, 1, 4, 2, 1, 4, 0, 0, 3, 0, 4, 4, 4, 4, 3, 3, 0, 1] pubkeycol693 = [0, 4, 2, 2, 3, 3, 4, 0, 0, 1, 1, 4, 3, 4, 1, 1, 4, 3, 2, 1, 3, 1, 0, 4, 2, 1, 0, 3, 3, 3, 0, 0, 4, 1, 2, 1, 1, 1, 3, 2, 0, 2, 1, 0, 1, 1, 4, 0, 4, 3, 3, 1, 4, 2, 2, 1, 0, 0, 2, 0, 0, 4, 3, 3, 3, 1, 0, 1, 3, 3, 1, 1, 1, 0, 2, 1, 0, 0, 3, 4, 2, 4, 0, 3, 1, 3, 4, 0, 2, 0, 4, 2, 1, 1, 4, 3, 3, 2, 1, 2, 0, 2, 3, 4, 1, 0, 0, 3, 1, 3, 1, 3, 0, 0, 0, 1, 1, 1, 0, 3, 0, 1, 3, 4, 4, 3, 3, 3, 3, 2, 1, 3, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 3, 1, 0, 0, 3, 2, 3, 0, 3, 2, 4, 0, 0, 1, 3, 2, 1, 1, 1, 3, 0, 2, 3, 2, 2, 0, 0, 4, 3, 2, 3, 4, 0, 1, 0, 1, 4, 1, 3, 0, 4, 0, 1, 4, 4, 4, 1, 4, 3, 1, 3, 4, 1, 1, 0, 2, 2, 4, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 0, 3, 1, 2, 3, 2, 3, 3, 3, 0, 4, 4, 1, 3, 3, 0, 4, 2, 3, 2, 0, 0, 0, 4, 1, 2, 1, 1, 3, 3, 2, 2, 2, 4, 0, 0, 4, 3, 4, 2, 0, 0, 4, 0, 0, 4, 2, 2, 1, 1, 1, 3, 4, 0, 0, 3, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 3, 0, 4, 0, 4, 1, 2, 2, 3, 4, 0, 3, 0, 0, 2, 1, 2, 0, 2, 1, 1, 3, 1, 1, 1, 1, 3, 1, 2, 4, 1, 0, 0, 0, 3, 0, 1, 1, 1, 1, 3, 2, 2, 1, 2, 4, 3, 0, 3, 3, 4, 3, 3, 0, 1, 4, 1, 3, 3, 0, 0, 1, 3, 1, 4, 4, 0, 2, 1, 1, 2, 3, 3, 3, 4, 2, 2, 4, 2, 0, 4, 4, 1, 0, 0, 2, 4, 3, 0, 4, 4, 2, 0, 0, 3, 2, 4, 2, 2, 2, 4, 4, 1, 0, 3, 4, 2, 0, 2, 3, 2, 3, 3, 3, 1, 3, 1, 4, 4, 4] pubkeycol694 = [4, 3, 1, 4, 4, 3, 2, 1, 1, 4, 2, 4, 0, 3, 2, 4, 3, 2, 4, 3, 2, 2, 0, 1, 1, 2, 3, 2, 1, 4, 3, 0, 1, 3, 1, 0, 3, 3, 3, 3, 0, 2, 3, 2, 0, 4, 3, 2, 0, 2, 1, 3, 4, 0, 1, 0, 2, 3, 0, 3, 2, 3, 1, 0, 2, 4, 0, 0, 4, 0, 2, 3, 2, 4, 3, 0, 2, 4, 0, 3, 4, 2, 2, 4, 1, 2, 1, 1, 3, 3, 3, 4, 1, 0, 1, 1, 3, 0, 4, 3, 2, 4, 4, 0, 3, 4, 4, 1, 0, 0, 4, 4, 4, 4, 4, 0, 3, 0, 0, 2, 1, 3, 3, 2, 1, 1, 2, 2, 0, 4, 3, 0, 1, 0, 3, 0, 3, 3, 4, 0, 4, 0, 2, 2, 0, 2, 2, 0, 0, 2, 4, 0, 1, 4, 3, 3, 1, 2, 1, 3, 2, 1, 1, 2, 3, 0, 1, 2, 4, 2, 0, 0, 0, 4, 2, 0, 4, 1, 0, 3, 0, 4, 4, 4, 1, 0, 0, 3, 3, 4, 0, 4, 0, 1, 2, 3, 3, 1, 1, 3, 2, 2, 3, 2, 2, 0, 0, 0, 3, 1, 2, 3, 1, 3, 4, 2, 4, 4, 3, 3, 3, 3, 3, 2, 2, 0, 4, 2, 2, 1, 0, 0, 1, 4, 3, 0, 1, 0, 2, 4, 1, 1, 3, 1, 2, 0, 2, 3, 3, 1, 2, 3, 0, 2, 2, 4, 2, 2, 4, 4, 0, 1, 3, 3, 1, 1, 2, 4, 4, 1, 0, 3, 1, 1, 4, 4, 1, 1, 1, 1, 2, 0, 1, 1, 0, 4, 3, 2, 3, 0, 3, 2, 0, 2, 4, 2, 3, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 3, 4, 2, 4, 1, 0, 0, 3, 3, 0, 3, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 3, 4, 2, 2, 1, 4, 1, 3, 0, 1, 3, 4, 1, 3, 3, 4, 2, 0, 3, 2, 3, 0, 1, 1, 3, 0, 4, 4, 3, 3, 0, 3, 1, 0, 3, 1, 1, 0, 0, 4, 3, 0, 0, 2, 2, 0, 0, 0, 4, 0, 1, 2, 1, 4, 1, 4, 1, 4, 1, 1, 2, 1, 1, 0, 1] pubkeycol695 = [2, 0, 3, 4, 3, 4, 4, 2, 2, 3, 4, 3, 0, 0, 1, 1, 4, 3, 2, 3, 1, 2, 0, 4, 3, 2, 3, 4, 2, 3, 2, 2, 1, 3, 4, 2, 4, 4, 3, 1, 4, 2, 0, 4, 0, 2, 0, 0, 3, 0, 2, 1, 1, 1, 0, 1, 3, 1, 0, 0, 1, 0, 2, 1, 3, 0, 1, 1, 4, 0, 3, 1, 2, 4, 1, 3, 0, 4, 4, 2, 4, 3, 4, 4, 1, 0, 4, 2, 2, 4, 3, 3, 3, 2, 4, 1, 2, 3, 3, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 3, 4, 0, 2, 4, 3, 4, 3, 3, 3, 4, 1, 3, 1, 2, 2, 4, 3, 2, 4, 3, 4, 4, 2, 4, 2, 2, 4, 2, 4, 4, 2, 2, 4, 2, 4, 2, 2, 0, 4, 4, 3, 0, 3, 2, 1, 1, 0, 0, 3, 0, 3, 1, 3, 2, 0, 3, 3, 3, 2, 3, 1, 4, 4, 3, 2, 3, 0, 2, 3, 1, 4, 2, 0, 4, 1, 3, 1, 3, 4, 0, 1, 3, 1, 3, 1, 4, 1, 3, 3, 1, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 1, 0, 1, 1, 1, 1, 4, 4, 0, 4, 4, 4, 0, 3, 2, 1, 3, 1, 0, 0, 3, 3, 1, 3, 0, 0, 2, 4, 3, 1, 3, 3, 0, 1, 3, 3, 2, 4, 0, 4, 1, 3, 1, 1, 3, 1, 3, 0, 2, 1, 1, 0, 3, 0, 1, 2, 4, 2, 2, 3, 3, 0, 2, 3, 0, 0, 0, 0, 0, 1, 1, 3, 0, 0, 0, 4, 4, 0, 0, 2, 2, 2, 4, 1, 4, 1, 4, 4, 3, 1, 4, 4, 0, 3, 1, 1, 2, 2, 4, 3, 2, 4, 0, 0, 1, 0, 4, 1, 0, 3, 1, 0, 1, 1, 0, 4, 0, 3, 3, 3, 4, 1, 1, 4, 2, 4, 2, 2, 2, 2, 2, 1, 3, 1, 0, 1, 1, 4, 4, 2, 1, 3, 2, 1, 1, 2, 1, 1, 4, 3, 2, 2, 0, 3, 0, 0, 2, 4, 2, 2, 0, 0, 4, 2, 2, 1, 4, 0, 2, 3, 0, 4, 2, 0, 2, 0, 1, 1, 3, 0, 0, 3] pubkeycol696 = [1, 4, 4, 1, 0, 2, 0, 0, 3, 0, 3, 3, 2, 0, 0, 4, 4, 4, 3, 0, 1, 2, 0, 4, 1, 0, 1, 1, 4, 3, 4, 4, 0, 2, 4, 1, 2, 0, 0, 2, 2, 2, 4, 1, 0, 4, 0, 4, 2, 2, 4, 0, 1, 4, 1, 1, 2, 2, 4, 1, 2, 3, 3, 4, 4, 4, 0, 0, 4, 1, 0, 1, 4, 4, 2, 4, 2, 1, 1, 4, 0, 3, 2, 1, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 4, 0, 1, 0, 4, 3, 3, 1, 3, 3, 0, 2, 1, 2, 4, 2, 4, 1, 1, 0, 1, 0, 1, 4, 2, 3, 0, 0, 4, 4, 4, 3, 2, 0, 3, 2, 4, 2, 2, 4, 1, 1, 3, 4, 3, 4, 3, 3, 0, 0, 2, 4, 3, 4, 1, 3, 0, 4, 4, 0, 3, 4, 1, 2, 4, 3, 2, 1, 0, 1, 2, 0, 2, 4, 4, 1, 3, 1, 1, 3, 4, 0, 1, 0, 1, 2, 4, 3, 0, 2, 1, 1, 0, 2, 3, 1, 1, 3, 2, 0, 1, 0, 0, 1, 4, 2, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 3, 4, 3, 1, 0, 0, 1, 0, 2, 0, 3, 1, 1, 4, 0, 3, 0, 2, 4, 0, 4, 0, 3, 3, 1, 1, 4, 4, 4, 4, 1, 1, 1, 0, 2, 1, 4, 2, 4, 3, 4, 0, 3, 3, 0, 3, 1, 4, 0, 3, 0, 1, 4, 3, 2, 0, 0, 2, 0, 2, 3, 2, 0, 1, 2, 3, 4, 2, 3, 0, 3, 2, 4, 4, 2, 2, 1, 0, 4, 4, 3, 3, 0, 0, 0, 4, 0, 0, 1, 1, 1, 0, 3, 0, 1, 0, 1, 4, 0, 2, 2, 1, 0, 4, 4, 0, 3, 3, 4, 3, 0, 3, 0, 1, 3, 1, 0, 2, 3, 0, 3, 2, 0, 1, 1, 0, 3, 2, 3, 1, 1, 1, 3, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 4, 2, 0, 1, 2, 0, 1, 1, 4, 2, 1, 3, 3, 2, 3, 1, 3, 3, 0, 2, 4, 3, 0, 3, 3, 3, 2, 0, 0, 2, 0, 0, 0, 4, 2, 3, 3, 3, 1, 1, 2, 3] pubkeycol697 = [3, 4, 4, 0, 1, 2, 2, 0, 2, 3, 4, 4, 3, 1, 3, 0, 1, 4, 1, 2, 2, 1, 1, 0, 2, 2, 2, 4, 1, 3, 0, 2, 2, 3, 0, 1, 3, 1, 3, 0, 4, 4, 4, 1, 2, 0, 0, 3, 1, 2, 3, 3, 0, 1, 1, 1, 3, 3, 1, 4, 4, 0, 1, 3, 0, 2, 3, 1, 3, 0, 0, 0, 1, 1, 4, 1, 3, 4, 3, 1, 2, 2, 1, 0, 1, 3, 2, 0, 1, 4, 0, 2, 2, 2, 3, 2, 3, 4, 3, 2, 3, 0, 2, 4, 1, 0, 3, 2, 4, 3, 3, 2, 1, 2, 4, 2, 1, 4, 1, 4, 2, 1, 3, 1, 4, 0, 0, 4, 4, 0, 4, 1, 2, 4, 4, 3, 1, 1, 1, 3, 0, 2, 0, 0, 0, 4, 0, 0, 3, 1, 1, 0, 1, 2, 1, 4, 1, 1, 3, 4, 0, 3, 3, 4, 2, 4, 4, 3, 3, 3, 1, 4, 1, 2, 1, 4, 0, 1, 0, 3, 1, 4, 0, 0, 3, 1, 4, 0, 1, 4, 3, 0, 2, 1, 4, 3, 2, 3, 3, 2, 0, 2, 0, 2, 3, 3, 1, 3, 0, 0, 4, 3, 1, 1, 0, 0, 2, 1, 0, 0, 3, 2, 0, 3, 1, 3, 2, 4, 3, 0, 0, 4, 4, 4, 2, 0, 1, 3, 2, 1, 1, 0, 0, 2, 3, 2, 0, 4, 2, 3, 3, 2, 4, 4, 2, 3, 0, 0, 0, 0, 3, 4, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 3, 4, 3, 1, 3, 2, 1, 1, 2, 3, 0, 0, 4, 2, 3, 0, 3, 4, 0, 1, 2, 2, 1, 1, 3, 1, 0, 3, 3, 1, 2, 3, 2, 4, 3, 3, 1, 3, 1, 3, 0, 1, 3, 3, 4, 2, 1, 2, 3, 1, 2, 3, 1, 0, 2, 4, 2, 3, 1, 2, 3, 2, 3, 1, 1, 3, 4, 3, 3, 0, 2, 2, 4, 2, 4, 0, 0, 1, 2, 2, 0, 2, 3, 2, 4, 1, 2, 1, 4, 0, 1, 1, 3, 1, 3, 1, 3, 0, 3, 0, 2, 0, 1, 1, 4, 1, 4, 3, 4, 4, 0, 2, 3, 4, 1, 4, 3, 2, 1, 0, 4, 3, 0, 1, 4, 4, 1, 4] pubkeycol698 = [0, 3, 4, 4, 1, 2, 2, 1, 1, 2, 3, 2, 2, 4, 1, 3, 0, 2, 1, 2, 3, 3, 4, 0, 2, 0, 4, 3, 4, 3, 0, 2, 0, 3, 4, 4, 4, 3, 3, 1, 2, 2, 1, 0, 3, 1, 0, 3, 1, 3, 3, 4, 0, 4, 3, 0, 4, 3, 4, 2, 3, 1, 0, 1, 3, 1, 1, 1, 0, 2, 4, 4, 3, 1, 2, 3, 0, 2, 4, 3, 1, 0, 4, 0, 0, 2, 0, 0, 4, 0, 0, 1, 4, 0, 1, 0, 2, 1, 3, 3, 0, 4, 4, 3, 4, 0, 3, 4, 2, 1, 4, 4, 1, 4, 1, 4, 0, 2, 0, 1, 0, 0, 0, 3, 4, 3, 4, 0, 0, 4, 4, 2, 0, 0, 0, 2, 1, 3, 3, 2, 3, 1, 0, 2, 2, 4, 1, 2, 4, 1, 0, 1, 0, 3, 0, 1, 1, 4, 3, 0, 1, 2, 1, 4, 1, 0, 2, 0, 2, 4, 0, 3, 1, 1, 1, 4, 1, 0, 4, 0, 2, 4, 0, 4, 1, 4, 4, 4, 4, 0, 1, 2, 1, 4, 4, 3, 3, 2, 1, 1, 1, 3, 2, 4, 2, 1, 0, 2, 2, 1, 1, 3, 4, 4, 0, 2, 2, 4, 0, 3, 4, 3, 1, 4, 1, 2, 3, 2, 1, 3, 1, 0, 2, 1, 1, 1, 2, 2, 3, 2, 3, 3, 1, 4, 4, 3, 3, 3, 4, 3, 0, 4, 4, 0, 2, 1, 0, 4, 3, 4, 2, 0, 2, 2, 4, 2, 2, 0, 3, 0, 1, 2, 3, 1, 0, 3, 2, 3, 2, 4, 0, 4, 0, 0, 2, 1, 3, 0, 0, 1, 0, 4, 0, 1, 2, 4, 3, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 3, 1, 0, 0, 1, 0, 0, 1, 2, 3, 2, 3, 0, 0, 3, 4, 4, 0, 3, 0, 3, 1, 3, 1, 1, 4, 4, 1, 3, 4, 3, 0, 2, 4, 4, 2, 0, 3, 1, 3, 3, 2, 0, 3, 3, 3, 0, 0, 0, 3, 3, 4, 3, 3, 1, 3, 1, 1, 1, 0, 4, 4, 2, 3, 2, 3, 3, 2, 3, 2, 4, 2, 3, 4, 2, 4, 1, 0, 1, 0, 4, 1, 3, 1, 0, 2, 4, 2, 4, 2, 4, 4] pubkeycol699 = [3, 2, 4, 1, 1, 1, 0, 2, 0, 3, 4, 4, 0, 1, 0, 4, 2, 1, 2, 0, 3, 4, 4, 4, 4, 3, 3, 2, 3, 2, 0, 2, 4, 1, 0, 2, 4, 0, 1, 0, 0, 1, 1, 0, 4, 2, 0, 2, 2, 1, 3, 2, 2, 2, 0, 0, 0, 4, 3, 2, 4, 1, 0, 3, 1, 2, 0, 1, 0, 1, 0, 2, 0, 4, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 4, 1, 1, 1, 3, 2, 0, 2, 0, 3, 2, 2, 4, 4, 0, 1, 1, 1, 4, 4, 3, 0, 3, 1, 3, 2, 2, 1, 1, 3, 0, 0, 3, 4, 2, 0, 1, 3, 1, 2, 3, 1, 2, 3, 3, 4, 4, 1, 2, 3, 0, 2, 4, 4, 1, 4, 3, 4, 0, 2, 1, 4, 2, 4, 4, 1, 0, 1, 3, 4, 3, 1, 1, 0, 2, 2, 4, 4, 2, 4, 2, 4, 2, 3, 3, 0, 1, 3, 0, 4, 4, 2, 0, 1, 3, 3, 4, 1, 0, 2, 2, 1, 3, 4, 3, 1, 2, 0, 0, 0, 4, 3, 0, 1, 4, 1, 4, 2, 2, 0, 4, 3, 4, 3, 2, 0, 2, 1, 2, 0, 4, 1, 0, 1, 3, 3, 0, 1, 4, 4, 3, 4, 2, 0, 4, 1, 3, 2, 3, 4, 3, 1, 0, 1, 3, 3, 4, 0, 4, 3, 3, 0, 3, 1, 2, 0, 0, 0, 2, 0, 3, 0, 2, 1, 1, 2, 3, 0, 2, 0, 4, 2, 0, 4, 0, 3, 3, 0, 4, 4, 4, 3, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 3, 3, 3, 3, 0, 1, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 1, 3, 2, 3, 0, 3, 4, 1, 0, 0, 4, 0, 1, 4, 2, 2, 3, 1, 3, 0, 1, 0, 4, 3, 2, 2, 2, 0, 0, 1, 4, 4, 2, 0, 0, 2, 4, 4, 2, 2, 0, 0, 3, 2, 0, 2, 0, 1, 2, 4, 1, 2, 1, 2, 3, 0, 3, 3, 0, 3, 1, 1, 1, 0, 4, 1, 4, 0, 1, 1, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 2, 4, 1, 0, 1, 2, 0, 0, 3, 3, 2, 2, 1, 0, 2, 2, 0] pubkeycol700 = [4, 1, 4, 2, 1, 0, 4, 0, 3, 3, 4, 2, 3, 4, 4, 3, 1, 3, 3, 4, 0, 1, 3, 0, 1, 1, 2, 4, 4, 2, 0, 3, 0, 0, 1, 3, 4, 3, 4, 0, 0, 3, 4, 2, 2, 1, 3, 4, 3, 4, 3, 1, 2, 2, 0, 3, 4, 4, 2, 2, 3, 2, 2, 3, 2, 1, 0, 3, 1, 4, 4, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 3, 1, 1, 3, 4, 2, 1, 2, 4, 4, 0, 1, 3, 0, 0, 4, 0, 4, 1, 4, 3, 0, 0, 0, 3, 2, 4, 0, 2, 0, 3, 4, 4, 2, 0, 2, 3, 3, 0, 1, 4, 0, 3, 1, 0, 0, 0, 3, 3, 2, 2, 0, 4, 3, 2, 4, 4, 0, 2, 3, 0, 2, 1, 1, 0, 3, 1, 0, 0, 1, 2, 1, 1, 0, 4, 1, 1, 3, 3, 0, 2, 3, 2, 2, 2, 1, 3, 0, 1, 3, 0, 1, 2, 4, 4, 2, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 2, 1, 3, 1, 2, 1, 0, 3, 2, 2, 4, 2, 0, 4, 1, 2, 4, 3, 0, 1, 4, 3, 0, 3, 4, 1, 0, 2, 1, 1, 3, 4, 4, 4, 1, 3, 1, 0, 0, 1, 2, 3, 2, 3, 4, 2, 0, 1, 0, 0, 0, 4, 2, 0, 2, 0, 1, 3, 3, 2, 0, 0, 2, 1, 4, 3, 4, 3, 0, 1, 4, 0, 0, 3, 4, 1, 3, 0, 3, 4, 0, 4, 0, 0, 4, 0, 1, 1, 1, 0, 4, 4, 3, 2, 0, 4, 1, 0, 2, 0, 0, 2, 0, 4, 1, 3, 2, 2, 0, 4, 3, 3, 0, 4, 2, 1, 1, 3, 2, 2, 2, 0, 4, 0, 0, 1, 2, 3, 3, 4, 0, 3, 2, 2, 4, 4, 3, 0, 3, 1, 4, 4, 1, 0, 4, 0, 3, 3, 3, 1, 0, 3, 3, 4, 3, 2, 4, 4, 1, 1, 1, 4, 3, 4, 0, 0, 4, 1, 1, 2, 1, 4, 2, 3, 0, 0, 1, 0, 0, 4, 2, 1, 3, 1, 2, 4, 0, 3, 1, 3, 2, 0, 3, 0, 1, 1, 2, 3, 3, 2, 0, 1, 1, 1, 3, 4, 2, 1, 0] pubkeycol701 = [2, 2, 0, 1, 0, 3, 4, 3, 4, 4, 2, 2, 4, 2, 0, 2, 4, 3, 2, 3, 2, 1, 4, 0, 0, 1, 3, 0, 2, 1, 0, 4, 4, 0, 1, 4, 1, 4, 2, 3, 1, 0, 4, 1, 3, 3, 0, 2, 0, 1, 1, 1, 0, 0, 0, 3, 2, 4, 4, 2, 2, 1, 3, 1, 1, 4, 1, 4, 0, 4, 2, 3, 2, 4, 1, 0, 3, 2, 3, 3, 4, 3, 0, 0, 3, 1, 2, 2, 4, 3, 4, 2, 3, 1, 1, 4, 1, 2, 3, 1, 1, 2, 2, 3, 0, 4, 3, 1, 3, 3, 1, 3, 1, 4, 3, 1, 2, 2, 4, 2, 2, 3, 4, 2, 4, 3, 0, 0, 4, 0, 3, 1, 3, 3, 2, 4, 0, 2, 3, 2, 1, 3, 1, 1, 1, 4, 3, 4, 0, 3, 4, 2, 4, 1, 4, 0, 0, 0, 0, 2, 3, 1, 3, 0, 1, 3, 2, 4, 0, 4, 0, 4, 1, 2, 0, 1, 1, 1, 0, 3, 1, 1, 4, 1, 2, 4, 4, 4, 1, 2, 0, 0, 1, 0, 3, 2, 3, 2, 4, 3, 0, 2, 4, 0, 4, 0, 2, 4, 2, 1, 3, 0, 3, 3, 4, 4, 3, 0, 4, 0, 1, 1, 4, 0, 4, 2, 4, 0, 0, 4, 3, 0, 4, 4, 2, 3, 1, 3, 0, 4, 4, 1, 2, 3, 4, 3, 4, 4, 3, 1, 3, 3, 0, 3, 0, 2, 2, 4, 2, 0, 0, 2, 2, 3, 2, 1, 2, 0, 0, 1, 3, 0, 0, 4, 3, 4, 0, 4, 3, 4, 2, 0, 4, 4, 0, 2, 2, 3, 0, 4, 0, 2, 3, 0, 0, 2, 0, 0, 3, 2, 0, 4, 4, 1, 2, 0, 3, 1, 4, 3, 2, 3, 3, 1, 1, 3, 0, 2, 4, 3, 0, 4, 0, 4, 0, 1, 0, 1, 0, 2, 0, 2, 4, 3, 0, 4, 4, 4, 2, 0, 0, 1, 4, 1, 3, 3, 3, 0, 4, 2, 0, 3, 4, 4, 1, 1, 1, 3, 1, 0, 2, 2, 1, 1, 0, 3, 3, 4, 0, 0, 3, 2, 1, 3, 3, 4, 1, 4, 0, 2, 4, 4, 0, 4, 2, 0, 1, 4, 2, 1, 2, 0, 0, 0, 4, 1, 0, 4, 2, 1] pubkeycol702 = [4, 1, 2, 4, 3, 2, 2, 3, 2, 2, 2, 3, 0, 1, 2, 3, 3, 1, 1, 4, 0, 4, 1, 3, 1, 3, 4, 4, 1, 1, 4, 0, 3, 4, 2, 1, 1, 1, 1, 4, 1, 2, 4, 0, 2, 4, 3, 4, 0, 2, 1, 3, 3, 3, 2, 4, 3, 2, 2, 1, 0, 2, 3, 0, 4, 4, 2, 3, 4, 0, 1, 4, 1, 3, 1, 2, 1, 3, 4, 1, 4, 1, 4, 1, 3, 3, 2, 2, 2, 1, 4, 2, 3, 0, 1, 4, 2, 3, 3, 4, 3, 1, 2, 1, 0, 2, 3, 0, 1, 2, 0, 3, 2, 4, 0, 3, 0, 0, 0, 4, 3, 3, 2, 3, 3, 2, 2, 3, 0, 1, 0, 3, 3, 3, 3, 0, 0, 4, 2, 0, 4, 0, 1, 1, 0, 4, 0, 1, 3, 1, 1, 2, 4, 3, 2, 1, 1, 0, 4, 1, 0, 0, 1, 2, 1, 2, 3, 0, 3, 2, 3, 4, 3, 1, 0, 0, 4, 2, 1, 0, 3, 0, 1, 0, 0, 2, 0, 4, 1, 2, 3, 1, 3, 1, 2, 1, 0, 3, 0, 0, 0, 2, 3, 4, 4, 2, 2, 1, 4, 4, 0, 3, 0, 0, 0, 3, 3, 2, 0, 2, 1, 0, 3, 3, 1, 0, 0, 3, 4, 1, 3, 0, 0, 3, 4, 0, 3, 0, 3, 4, 4, 3, 0, 3, 1, 1, 4, 1, 3, 1, 3, 3, 3, 2, 3, 2, 3, 0, 2, 0, 4, 0, 2, 3, 2, 4, 2, 4, 3, 1, 1, 1, 2, 1, 4, 0, 0, 2, 2, 0, 2, 4, 1, 1, 0, 0, 4, 0, 1, 0, 2, 0, 2, 2, 3, 1, 1, 0, 3, 2, 0, 3, 4, 4, 4, 1, 0, 2, 1, 1, 4, 3, 0, 1, 0, 4, 4, 2, 3, 1, 0, 3, 2, 1, 4, 3, 1, 0, 1, 2, 3, 0, 1, 3, 2, 2, 0, 0, 2, 1, 4, 1, 2, 4, 4, 3, 0, 2, 0, 2, 0, 2, 2, 4, 4, 3, 2, 3, 2, 1, 0, 1, 0, 0, 3, 0, 1, 2, 2, 2, 2, 4, 4, 3, 0, 1, 2, 0, 1, 1, 1, 4, 2, 1, 2, 1, 4, 0, 1, 4, 1, 3, 1, 0, 2, 2, 3, 4, 2, 2] pubkeycol703 = [2, 0, 4, 2, 0, 4, 4, 2, 2, 4, 3, 3, 0, 0, 4, 4, 3, 4, 0, 2, 1, 0, 0, 3, 0, 3, 2, 1, 1, 4, 1, 1, 2, 2, 3, 2, 1, 3, 4, 2, 3, 2, 1, 4, 3, 0, 3, 1, 3, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 3, 4, 1, 3, 4, 0, 4, 3, 0, 4, 3, 4, 4, 2, 1, 2, 2, 3, 0, 0, 3, 3, 0, 4, 1, 3, 4, 2, 3, 2, 0, 4, 4, 0, 1, 0, 2, 3, 4, 2, 0, 3, 4, 3, 4, 3, 0, 4, 0, 3, 1, 3, 2, 3, 4, 4, 3, 4, 1, 4, 4, 1, 1, 0, 2, 3, 0, 3, 4, 0, 2, 4, 1, 0, 4, 3, 0, 1, 2, 1, 0, 4, 0, 0, 0, 2, 4, 4, 3, 1, 1, 4, 0, 2, 0, 4, 1, 0, 4, 4, 3, 4, 0, 4, 4, 1, 2, 2, 2, 2, 2, 0, 4, 4, 1, 0, 2, 3, 2, 3, 3, 1, 3, 0, 2, 2, 3, 4, 1, 3, 4, 2, 4, 3, 2, 2, 2, 2, 1, 0, 4, 2, 3, 4, 4, 3, 1, 4, 1, 0, 2, 0, 4, 4, 0, 1, 1, 2, 3, 2, 3, 4, 0, 2, 4, 4, 1, 2, 3, 3, 1, 0, 3, 0, 1, 2, 0, 2, 2, 0, 2, 1, 3, 4, 4, 2, 4, 3, 4, 0, 0, 4, 0, 1, 0, 3, 2, 0, 2, 4, 2, 1, 1, 1, 2, 2, 4, 2, 0, 2, 4, 0, 4, 0, 1, 0, 1, 1, 3, 2, 3, 0, 1, 4, 0, 2, 2, 3, 0, 0, 4, 3, 3, 2, 4, 4, 1, 0, 2, 0, 0, 0, 3, 4, 3, 3, 2, 4, 1, 3, 1, 4, 4, 2, 0, 3, 4, 2, 3, 4, 2, 3, 2, 2, 1, 4, 0, 1, 3, 0, 2, 4, 3, 4, 2, 4, 4, 4, 4, 2, 0, 4, 0, 0, 4, 3, 2, 2, 3, 3, 0, 2, 4, 0, 0, 2, 0, 2, 4, 1, 1, 1, 2, 0, 1, 4, 4, 2, 3, 0, 4, 2, 2, 1, 1, 3, 4, 2, 1, 0, 4, 0, 1, 0, 1, 2, 1, 3, 0, 3, 3, 4, 2, 0, 0, 0] pubkeycol704 = [2, 4, 0, 0, 4, 3, 0, 2, 3, 3, 4, 1, 1, 3, 0, 1, 4, 4, 4, 3, 0, 4, 4, 3, 0, 4, 4, 1, 4, 1, 3, 4, 0, 1, 2, 1, 2, 3, 1, 0, 0, 0, 2, 4, 3, 2, 1, 0, 4, 4, 1, 2, 0, 2, 4, 4, 1, 3, 2, 0, 4, 2, 1, 3, 4, 3, 4, 0, 1, 1, 2, 1, 0, 4, 2, 4, 2, 1, 3, 1, 3, 1, 1, 2, 0, 2, 4, 3, 3, 4, 3, 4, 0, 0, 3, 1, 0, 3, 1, 2, 4, 4, 2, 4, 1, 1, 1, 3, 3, 2, 0, 3, 0, 3, 1, 4, 0, 2, 0, 1, 2, 1, 3, 3, 2, 3, 1, 0, 0, 2, 3, 1, 1, 2, 4, 1, 3, 1, 3, 1, 3, 0, 1, 4, 1, 0, 3, 2, 2, 3, 3, 2, 2, 4, 1, 3, 2, 1, 3, 1, 1, 2, 3, 2, 0, 1, 0, 1, 2, 4, 1, 4, 1, 2, 4, 0, 4, 3, 1, 3, 2, 1, 0, 3, 3, 3, 1, 3, 1, 1, 3, 3, 2, 0, 3, 0, 1, 1, 0, 3, 2, 1, 1, 3, 0, 4, 4, 3, 3, 2, 1, 2, 0, 1, 1, 4, 0, 2, 0, 0, 3, 3, 3, 2, 4, 1, 3, 1, 2, 0, 2, 3, 2, 2, 3, 4, 0, 4, 0, 0, 4, 3, 0, 2, 2, 2, 4, 3, 1, 0, 0, 1, 3, 4, 1, 1, 4, 2, 3, 0, 2, 2, 1, 3, 1, 1, 4, 3, 2, 4, 3, 2, 1, 4, 4, 3, 4, 1, 0, 1, 4, 0, 4, 3, 4, 1, 3, 2, 1, 0, 2, 0, 1, 4, 3, 1, 2, 2, 0, 1, 2, 1, 4, 0, 1, 2, 3, 3, 4, 3, 1, 1, 2, 0, 2, 1, 2, 3, 3, 1, 0, 2, 2, 3, 3, 0, 0, 2, 2, 3, 4, 3, 3, 1, 3, 1, 3, 3, 0, 4, 1, 4, 2, 2, 4, 4, 0, 3, 2, 3, 0, 4, 4, 1, 0, 4, 2, 3, 4, 0, 2, 1, 3, 2, 0, 1, 0, 2, 0, 4, 1, 2, 3, 2, 3, 1, 3, 0, 2, 2, 2, 4, 4, 3, 3, 4, 3, 2, 4, 1, 1, 0, 1, 2, 4, 2, 0, 3, 2, 0] pubkeycol705 = [3, 1, 2, 3, 0, 0, 4, 4, 1, 1, 2, 0, 4, 0, 2, 2, 3, 1, 1, 4, 0, 1, 3, 2, 4, 3, 2, 2, 3, 4, 0, 3, 3, 3, 1, 3, 4, 3, 4, 3, 0, 4, 4, 2, 1, 0, 1, 2, 0, 3, 0, 3, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 4, 4, 0, 3, 2, 2, 4, 2, 3, 3, 0, 4, 2, 3, 3, 1, 0, 3, 0, 1, 2, 4, 4, 4, 1, 2, 3, 2, 3, 2, 4, 2, 0, 2, 3, 1, 0, 4, 3, 2, 3, 0, 3, 3, 4, 0, 2, 0, 1, 3, 2, 4, 4, 0, 2, 4, 3, 0, 2, 0, 4, 2, 4, 1, 3, 1, 2, 3, 3, 4, 2, 0, 2, 0, 3, 3, 3, 3, 3, 0, 2, 0, 4, 3, 0, 4, 4, 3, 0, 3, 1, 1, 2, 0, 3, 3, 1, 2, 1, 0, 1, 1, 1, 0, 0, 4, 0, 3, 2, 0, 3, 4, 4, 1, 4, 3, 4, 0, 1, 2, 2, 1, 3, 1, 1, 0, 1, 3, 4, 4, 3, 0, 0, 2, 4, 1, 2, 4, 3, 4, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 3, 1, 0, 2, 1, 4, 0, 4, 3, 3, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 3, 2, 3, 2, 2, 4, 1, 0, 2, 0, 2, 2, 2, 0, 1, 3, 0, 2, 4, 1, 4, 1, 0, 3, 0, 3, 4, 4, 2, 0, 2, 3, 4, 3, 2, 1, 4, 1, 3, 3, 3, 2, 4, 2, 4, 2, 2, 3, 2, 3, 2, 1, 3, 1, 4, 1, 0, 2, 3, 1, 0, 0, 2, 0, 4, 0, 3, 0, 4, 3, 4, 4, 4, 2, 4, 2, 2, 0, 0, 1, 4, 0, 3, 1, 3, 2, 3, 3, 0, 1, 4, 3, 1, 1, 2, 0, 3, 2, 1, 4, 3, 1, 3, 1, 2, 2, 4, 2, 2, 0, 4, 1, 1, 0, 1, 4, 4, 1, 4, 0, 1, 2, 2, 2, 0, 3, 0, 1, 1, 0, 2, 0, 2, 3, 4, 4, 4, 2, 0, 0, 4, 1, 2, 4, 4, 4, 0, 4, 4, 1, 3, 3, 2, 2, 1, 2, 0, 2, 0, 3, 1, 4, 4, 0, 0] pubkeycol706 = [3, 0, 0, 1, 2, 3, 2, 3, 2, 3, 1, 0, 0, 1, 3, 1, 1, 0, 1, 0, 4, 2, 2, 1, 3, 2, 0, 0, 4, 1, 3, 1, 3, 2, 4, 4, 0, 1, 4, 0, 1, 2, 4, 4, 1, 2, 2, 0, 1, 2, 3, 3, 1, 4, 4, 1, 2, 1, 0, 1, 3, 4, 3, 0, 4, 0, 2, 4, 3, 0, 4, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 4, 1, 3, 2, 1, 2, 0, 2, 4, 3, 4, 3, 2, 3, 1, 4, 4, 4, 1, 0, 3, 2, 4, 3, 0, 1, 2, 4, 3, 4, 4, 2, 3, 4, 3, 0, 3, 4, 2, 4, 2, 2, 1, 2, 1, 3, 2, 4, 1, 4, 1, 1, 1, 3, 1, 0, 2, 2, 4, 2, 1, 0, 3, 1, 0, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 4, 3, 4, 2, 3, 3, 0, 0, 4, 3, 0, 0, 3, 4, 0, 4, 1, 1, 1, 0, 1, 1, 4, 0, 1, 2, 3, 0, 2, 4, 4, 2, 0, 4, 1, 1, 3, 0, 0, 2, 1, 1, 4, 2, 3, 1, 4, 1, 1, 0, 3, 1, 4, 2, 4, 3, 4, 0, 3, 1, 4, 1, 2, 4, 2, 3, 3, 1, 4, 4, 2, 4, 4, 4, 1, 3, 1, 0, 1, 3, 4, 2, 0, 2, 4, 2, 0, 2, 4, 4, 2, 2, 2, 1, 3, 3, 4, 0, 0, 3, 4, 3, 1, 0, 2, 2, 0, 4, 2, 4, 2, 1, 4, 0, 3, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 4, 3, 2, 0, 3, 4, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 1, 4, 3, 4, 0, 3, 0, 4, 0, 4, 3, 0, 4, 0, 2, 4, 4, 3, 1, 1, 4, 0, 0, 1, 0, 1, 2, 1, 3, 0, 3, 0, 3, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 1, 4, 2, 4, 3, 4, 3, 4, 3, 1, 2, 4, 0, 2, 4, 4, 4, 0, 3, 0, 2, 2, 2, 4, 2, 0, 3, 1, 2, 3, 2, 0, 4, 2, 1, 2, 1, 3, 1, 4, 2, 0, 3, 2, 0, 3, 2, 0, 0, 0, 3, 0, 0, 3, 0, 2, 3, 2, 2] pubkeycol707 = [1, 0, 3, 3, 2, 0, 2, 2, 1, 3, 3, 2, 4, 1, 1, 1, 4, 3, 2, 1, 2, 1, 0, 4, 0, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 4, 0, 4, 0, 3, 0, 4, 2, 1, 0, 4, 2, 2, 2, 1, 2, 1, 1, 3, 1, 3, 2, 3, 0, 0, 1, 1, 3, 0, 1, 0, 1, 1, 1, 2, 3, 3, 3, 2, 2, 3, 1, 0, 0, 1, 2, 0, 1, 0, 3, 3, 2, 2, 3, 2, 0, 3, 1, 1, 4, 4, 4, 4, 0, 2, 1, 3, 0, 4, 3, 1, 4, 0, 0, 1, 0, 3, 3, 2, 4, 0, 0, 4, 4, 2, 1, 0, 2, 3, 3, 3, 1, 2, 4, 3, 2, 4, 0, 3, 4, 0, 1, 1, 4, 4, 1, 2, 0, 2, 2, 0, 2, 1, 4, 4, 4, 1, 0, 1, 0, 3, 1, 2, 4, 3, 3, 2, 2, 4, 4, 0, 2, 4, 3, 3, 0, 4, 3, 3, 0, 4, 4, 3, 1, 1, 2, 0, 3, 4, 1, 2, 4, 4, 2, 3, 1, 2, 2, 3, 2, 1, 3, 1, 3, 3, 1, 0, 2, 4, 0, 0, 1, 3, 4, 2, 1, 3, 1, 4, 4, 3, 2, 0, 4, 2, 0, 0, 2, 0, 1, 1, 4, 4, 4, 2, 3, 2, 1, 3, 1, 3, 3, 3, 3, 1, 2, 2, 3, 0, 0, 4, 0, 1, 2, 3, 1, 4, 0, 3, 1, 3, 4, 2, 3, 4, 0, 3, 3, 1, 0, 1, 2, 2, 0, 1, 4, 3, 3, 2, 1, 4, 0, 0, 3, 4, 4, 1, 3, 4, 3, 0, 0, 2, 0, 0, 4, 0, 1, 1, 0, 1, 4, 0, 4, 3, 1, 0, 4, 4, 3, 4, 0, 4, 4, 0, 0, 1, 0, 3, 0, 0, 2, 4, 2, 4, 0, 0, 4, 4, 1, 4, 3, 0, 1, 0, 2, 3, 3, 4, 0, 0, 0, 3, 2, 0, 1, 4, 2, 1, 4, 4, 0, 1, 2, 4, 1, 0, 2, 3, 0, 4, 2, 0, 0, 4, 1, 4, 0, 0, 3, 1, 4, 1, 4, 1, 1, 1, 2, 2, 1, 3, 1, 3, 0, 3, 2, 3, 0, 0, 2, 0, 0, 3] pubkeycol708 = [2, 2, 3, 3, 3, 0, 1, 1, 4, 0, 0, 1, 2, 3, 3, 1, 4, 2, 2, 0, 1, 0, 3, 4, 1, 2, 0, 0, 2, 0, 3, 4, 0, 1, 3, 0, 2, 4, 0, 3, 1, 0, 1, 0, 2, 1, 4, 2, 0, 3, 3, 0, 0, 0, 4, 3, 0, 0, 1, 3, 4, 3, 0, 2, 4, 2, 3, 0, 2, 4, 0, 4, 3, 4, 4, 2, 1, 0, 1, 1, 3, 2, 3, 4, 3, 1, 4, 2, 4, 4, 3, 3, 0, 2, 3, 2, 4, 3, 4, 2, 2, 2, 1, 3, 4, 4, 2, 2, 3, 0, 4, 1, 4, 4, 3, 0, 0, 1, 2, 2, 4, 3, 2, 2, 0, 3, 1, 0, 4, 3, 2, 2, 1, 4, 4, 2, 3, 0, 4, 1, 1, 3, 1, 0, 4, 1, 3, 2, 0, 2, 4, 3, 4, 3, 2, 4, 0, 1, 1, 4, 1, 2, 0, 1, 4, 3, 0, 3, 1, 4, 3, 1, 3, 1, 2, 4, 4, 4, 3, 4, 2, 0, 3, 0, 2, 0, 3, 4, 3, 1, 0, 2, 0, 2, 2, 1, 1, 3, 1, 4, 0, 2, 2, 3, 1, 1, 0, 2, 2, 0, 2, 4, 0, 1, 4, 3, 3, 3, 1, 4, 0, 1, 1, 2, 1, 3, 0, 1, 1, 3, 4, 4, 3, 2, 2, 0, 3, 3, 3, 2, 4, 2, 3, 0, 4, 1, 0, 2, 2, 2, 2, 0, 4, 0, 3, 1, 1, 1, 4, 0, 2, 4, 2, 1, 4, 4, 2, 4, 0, 1, 1, 3, 1, 0, 3, 2, 4, 2, 0, 1, 1, 0, 1, 3, 0, 4, 1, 0, 3, 4, 0, 2, 2, 4, 4, 2, 4, 4, 2, 4, 1, 4, 0, 1, 1, 0, 3, 4, 0, 0, 4, 4, 2, 1, 3, 0, 4, 1, 4, 1, 1, 2, 2, 4, 4, 1, 3, 2, 4, 3, 1, 1, 4, 0, 2, 0, 3, 1, 2, 4, 1, 1, 3, 4, 1, 0, 0, 3, 2, 0, 4, 1, 1, 4, 4, 4, 4, 0, 0, 4, 2, 2, 1, 1, 0, 3, 3, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 3, 1, 2, 3, 4, 2, 2, 4, 4, 4, 3, 4, 2, 4, 3, 3, 0, 3, 3, 1, 0, 1] pubkeycol709 = [2, 2, 2, 2, 3, 1, 0, 2, 3, 0, 1, 0, 3, 3, 2, 3, 0, 1, 0, 4, 2, 4, 0, 1, 4, 4, 0, 0, 1, 2, 1, 1, 4, 2, 4, 1, 4, 3, 3, 0, 2, 1, 3, 4, 2, 2, 0, 2, 3, 1, 3, 4, 4, 2, 1, 1, 0, 2, 2, 3, 2, 4, 2, 0, 3, 3, 3, 4, 2, 3, 3, 4, 4, 2, 3, 4, 2, 1, 4, 1, 2, 3, 1, 4, 2, 2, 1, 2, 3, 4, 0, 2, 4, 1, 4, 3, 2, 0, 2, 3, 2, 0, 0, 1, 1, 2, 3, 2, 4, 3, 0, 2, 1, 2, 0, 4, 4, 1, 0, 2, 2, 3, 0, 1, 3, 3, 3, 4, 3, 2, 3, 2, 2, 0, 2, 1, 1, 1, 1, 4, 2, 2, 4, 1, 3, 4, 0, 3, 0, 3, 3, 0, 1, 0, 1, 0, 3, 0, 3, 3, 1, 1, 2, 3, 4, 4, 3, 4, 2, 4, 2, 2, 1, 3, 1, 3, 2, 4, 1, 2, 3, 0, 4, 2, 1, 4, 4, 4, 0, 3, 4, 3, 3, 3, 1, 4, 3, 3, 0, 3, 2, 0, 1, 3, 4, 4, 0, 3, 2, 0, 3, 0, 2, 0, 4, 3, 2, 2, 3, 1, 4, 0, 0, 0, 1, 0, 4, 2, 3, 2, 0, 1, 4, 0, 1, 0, 0, 2, 4, 3, 0, 0, 4, 4, 1, 1, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 3, 3, 2, 3, 3, 4, 4, 2, 0, 2, 2, 1, 0, 2, 4, 2, 3, 4, 4, 3, 3, 3, 4, 4, 4, 1, 4, 2, 2, 0, 3, 3, 3, 4, 0, 1, 1, 3, 0, 3, 0, 3, 3, 3, 0, 1, 1, 4, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 3, 1, 2, 3, 0, 1, 2, 0, 3, 3, 0, 1, 0, 4, 4, 4, 1, 2, 1, 4, 2, 1, 2, 2, 3, 1, 3, 3, 2, 4, 2, 1, 3, 1, 3, 2, 2, 1, 2, 3, 4, 3, 4, 0, 3, 3, 2, 2, 3, 3, 3, 0, 1, 2, 1, 4, 4, 1, 0, 4, 4, 1, 1, 3, 0, 0, 0, 3, 2, 2, 1, 2, 4, 3, 4, 1, 0, 3, 3, 4, 1, 1, 1, 4, 0, 0] pubkeycol710 = [0, 2, 0, 0, 1, 0, 2, 2, 1, 3, 3, 0, 3, 2, 0, 1, 2, 1, 4, 0, 2, 3, 3, 2, 0, 2, 3, 0, 4, 2, 0, 1, 3, 4, 0, 2, 2, 1, 3, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 4, 4, 3, 3, 3, 1, 3, 1, 1, 0, 0, 1, 0, 4, 2, 2, 0, 4, 3, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 4, 3, 2, 3, 1, 1, 0, 2, 2, 4, 2, 2, 4, 1, 1, 2, 4, 1, 2, 4, 2, 2, 0, 1, 4, 2, 0, 3, 0, 0, 0, 2, 4, 0, 3, 0, 2, 0, 3, 4, 3, 4, 3, 0, 0, 3, 0, 0, 4, 2, 3, 3, 1, 4, 0, 4, 0, 4, 3, 1, 3, 3, 1, 3, 0, 3, 4, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 3, 1, 4, 4, 3, 1, 3, 3, 3, 4, 4, 1, 0, 3, 1, 1, 1, 2, 3, 1, 4, 1, 3, 3, 0, 2, 4, 0, 1, 0, 4, 4, 2, 1, 2, 0, 3, 3, 2, 0, 3, 1, 2, 1, 1, 3, 3, 3, 0, 3, 1, 0, 4, 1, 0, 4, 4, 1, 3, 0, 0, 3, 3, 0, 2, 4, 0, 2, 3, 2, 3, 1, 2, 2, 0, 3, 3, 3, 2, 4, 4, 4, 2, 3, 0, 2, 4, 1, 2, 1, 0, 2, 3, 3, 0, 2, 1, 1, 3, 3, 1, 4, 0, 1, 0, 1, 1, 0, 3, 4, 4, 2, 0, 4, 1, 4, 0, 1, 1, 2, 3, 1, 4, 3, 2, 4, 0, 1, 0, 3, 1, 1, 3, 2, 3, 2, 4, 2, 4, 1, 3, 0, 3, 3, 1, 3, 1, 0, 3, 3, 2, 0, 4, 3, 2, 0, 3, 4, 4, 1, 1, 3, 0, 0, 3, 0, 3, 0, 1, 1, 0, 1, 4, 2, 4, 4, 4, 3, 1, 0, 1, 3, 0, 3, 1, 3, 2, 1, 4, 1, 2, 2, 1, 0, 2, 3, 3, 0, 2, 4, 2, 4, 3, 0, 4, 4, 0, 3, 2, 2, 4, 2, 1, 4, 0, 4, 2, 4, 3, 3, 4, 1, 3, 0, 3, 0, 2, 4, 0, 3, 1, 1, 4, 4, 0, 0, 2, 3, 3, 0, 4, 0, 1, 0] pubkeycol711 = [0, 2, 1, 4, 2, 2, 3, 1, 2, 2, 1, 2, 1, 1, 1, 4, 2, 0, 3, 2, 1, 3, 3, 0, 3, 4, 0, 4, 2, 4, 0, 0, 3, 4, 1, 4, 1, 1, 3, 2, 3, 2, 0, 4, 1, 1, 0, 0, 3, 3, 2, 0, 0, 1, 2, 3, 4, 2, 4, 0, 4, 2, 2, 3, 1, 1, 3, 1, 4, 3, 4, 1, 1, 0, 2, 1, 0, 1, 1, 4, 1, 0, 0, 0, 2, 1, 1, 3, 4, 1, 2, 3, 2, 1, 2, 2, 3, 4, 1, 4, 4, 3, 4, 2, 2, 4, 4, 2, 3, 3, 0, 0, 3, 3, 1, 0, 3, 3, 2, 2, 3, 4, 0, 1, 1, 2, 3, 1, 2, 3, 2, 2, 1, 4, 2, 1, 0, 3, 0, 4, 4, 1, 0, 4, 0, 0, 2, 1, 1, 3, 1, 3, 1, 0, 4, 0, 1, 3, 2, 2, 2, 1, 0, 2, 4, 2, 4, 2, 2, 3, 4, 0, 2, 2, 2, 2, 3, 0, 2, 4, 0, 2, 2, 4, 2, 4, 4, 0, 3, 1, 0, 4, 1, 0, 4, 2, 0, 2, 0, 1, 4, 1, 1, 0, 1, 3, 4, 3, 4, 1, 2, 0, 4, 1, 3, 3, 4, 4, 1, 4, 3, 0, 2, 1, 2, 0, 4, 2, 2, 3, 0, 3, 0, 3, 0, 0, 3, 4, 4, 1, 3, 2, 4, 4, 2, 3, 3, 2, 2, 0, 4, 1, 4, 4, 0, 2, 0, 0, 3, 4, 3, 0, 0, 2, 4, 0, 2, 2, 1, 0, 4, 3, 4, 3, 3, 0, 4, 3, 2, 0, 4, 0, 4, 4, 4, 0, 3, 1, 4, 2, 1, 1, 1, 3, 0, 1, 0, 2, 1, 4, 1, 1, 3, 2, 3, 2, 0, 2, 3, 1, 3, 4, 3, 0, 2, 1, 3, 0, 3, 3, 0, 0, 4, 1, 1, 0, 3, 4, 1, 3, 1, 4, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 4, 2, 0, 1, 2, 0, 4, 0, 1, 3, 4, 4, 3, 4, 1, 1, 4, 1, 3, 2, 0, 2, 0, 3, 0, 2, 0, 3, 4, 0, 3, 2, 0, 2, 1, 1, 4, 3, 4, 0, 1, 0, 4, 4, 2, 4, 0, 3, 0, 1, 0, 4, 0, 1, 3, 1, 0] pubkeycol712 = [0, 2, 0, 1, 4, 1, 3, 2, 4, 4, 4, 1, 4, 3, 2, 4, 4, 3, 3, 3, 0, 3, 1, 2, 3, 2, 4, 3, 2, 3, 3, 2, 0, 3, 3, 3, 1, 0, 2, 3, 3, 3, 3, 1, 0, 0, 2, 1, 4, 0, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 4, 4, 0, 3, 3, 0, 1, 1, 1, 2, 2, 4, 3, 4, 1, 3, 4, 4, 4, 2, 0, 3, 3, 1, 0, 1, 4, 4, 1, 1, 4, 4, 1, 3, 1, 1, 0, 0, 2, 4, 0, 2, 2, 0, 1, 0, 1, 1, 4, 0, 1, 4, 3, 2, 3, 2, 3, 1, 4, 3, 1, 1, 1, 0, 2, 1, 2, 0, 1, 3, 4, 3, 1, 4, 3, 0, 4, 4, 2, 3, 0, 1, 3, 0, 4, 4, 3, 4, 3, 2, 0, 2, 4, 4, 1, 1, 4, 0, 3, 4, 4, 2, 4, 3, 1, 4, 0, 0, 0, 3, 0, 4, 0, 3, 4, 3, 3, 0, 3, 3, 2, 0, 0, 1, 1, 0, 1, 0, 0, 3, 1, 3, 2, 4, 0, 0, 1, 4, 2, 2, 2, 2, 3, 4, 0, 4, 1, 3, 0, 2, 0, 4, 0, 3, 2, 0, 2, 3, 4, 0, 2, 3, 3, 3, 3, 0, 2, 2, 3, 1, 0, 0, 4, 3, 3, 4, 2, 2, 0, 0, 3, 3, 4, 3, 3, 1, 2, 2, 1, 0, 2, 2, 4, 0, 3, 2, 1, 1, 0, 4, 2, 4, 1, 3, 0, 0, 2, 1, 1, 0, 4, 4, 0, 2, 2, 4, 0, 4, 3, 2, 0, 0, 3, 1, 3, 3, 3, 2, 2, 0, 3, 4, 1, 3, 4, 4, 3, 0, 0, 0, 2, 0, 3, 3, 3, 0, 3, 4, 4, 4, 3, 3, 4, 3, 2, 0, 0, 0, 4, 1, 1, 2, 1, 4, 4, 3, 2, 3, 2, 1, 3, 0, 1, 4, 3, 0, 3, 2, 0, 2, 0, 2, 0, 3, 4, 0, 1, 2, 3, 3, 3, 4, 2, 3, 0, 0, 0, 0, 2, 0, 3, 1, 1, 2, 3, 0, 3, 2, 1, 3, 2, 1, 0, 2, 4, 4, 3, 1, 3, 4, 3, 3, 2, 1, 0, 2, 3, 4, 0, 3, 4, 1, 1, 4, 2, 1] pubkeycol713 = [0, 2, 0, 2, 3, 4, 2, 0, 4, 0, 4, 0, 2, 2, 0, 0, 2, 0, 0, 4, 4, 1, 3, 1, 3, 2, 0, 2, 2, 2, 1, 4, 0, 2, 3, 3, 1, 3, 4, 3, 3, 0, 4, 1, 0, 1, 0, 4, 1, 3, 4, 4, 2, 3, 3, 2, 3, 4, 1, 3, 3, 2, 0, 2, 3, 4, 3, 3, 4, 4, 0, 0, 3, 0, 3, 2, 4, 3, 4, 0, 2, 3, 4, 1, 4, 3, 1, 1, 2, 3, 1, 4, 3, 3, 2, 2, 3, 2, 1, 4, 3, 3, 2, 4, 0, 3, 0, 1, 4, 2, 2, 0, 0, 3, 4, 1, 4, 4, 0, 1, 1, 0, 2, 3, 4, 1, 3, 1, 2, 2, 0, 1, 2, 1, 4, 1, 1, 2, 1, 0, 4, 1, 2, 4, 1, 0, 2, 4, 1, 4, 4, 3, 2, 3, 2, 3, 2, 0, 2, 3, 4, 0, 1, 3, 4, 1, 0, 2, 2, 2, 1, 3, 0, 0, 1, 1, 1, 0, 4, 3, 4, 1, 0, 0, 3, 4, 4, 3, 1, 1, 1, 2, 4, 1, 1, 4, 1, 4, 3, 0, 0, 4, 3, 2, 4, 3, 0, 4, 2, 1, 2, 0, 4, 0, 2, 4, 0, 3, 4, 1, 4, 3, 4, 3, 3, 4, 3, 2, 4, 0, 1, 4, 1, 1, 2, 4, 0, 3, 4, 4, 0, 0, 1, 2, 4, 1, 2, 3, 0, 3, 1, 4, 4, 3, 1, 0, 1, 1, 4, 1, 4, 3, 4, 2, 3, 1, 4, 4, 3, 4, 4, 2, 1, 4, 3, 0, 1, 2, 1, 4, 1, 1, 3, 1, 3, 0, 2, 0, 0, 1, 3, 1, 2, 0, 2, 2, 3, 4, 0, 1, 3, 1, 1, 0, 3, 2, 3, 3, 3, 4, 1, 2, 3, 4, 3, 0, 0, 3, 3, 3, 2, 4, 1, 1, 1, 1, 2, 3, 1, 0, 0, 1, 4, 1, 4, 4, 3, 3, 0, 0, 4, 0, 4, 3, 2, 2, 1, 0, 2, 4, 2, 2, 0, 0, 2, 4, 1, 3, 4, 4, 2, 2, 0, 4, 3, 1, 2, 3, 4, 4, 4, 2, 0, 0, 0, 3, 2, 3, 4, 0, 4, 2, 2, 1, 1, 0, 0, 3, 4, 4, 4, 2, 3, 0, 1, 1, 3, 0, 4, 4] pubkeycol714 = [3, 0, 0, 4, 3, 0, 1, 3, 1, 1, 4, 2, 0, 1, 2, 4, 3, 2, 2, 2, 2, 0, 2, 2, 2, 4, 4, 0, 1, 4, 0, 1, 2, 4, 0, 1, 0, 2, 4, 2, 2, 0, 4, 0, 2, 1, 1, 4, 0, 4, 0, 3, 4, 3, 1, 4, 2, 3, 4, 3, 2, 1, 3, 0, 3, 0, 4, 2, 1, 3, 1, 1, 2, 4, 1, 1, 2, 4, 3, 4, 2, 2, 3, 2, 3, 1, 1, 2, 4, 2, 4, 0, 3, 0, 0, 0, 1, 2, 0, 4, 0, 4, 0, 0, 3, 2, 3, 4, 1, 1, 1, 0, 3, 0, 2, 1, 4, 1, 3, 2, 4, 3, 4, 1, 0, 0, 4, 0, 2, 2, 4, 1, 1, 2, 4, 1, 3, 2, 0, 1, 4, 4, 0, 1, 2, 2, 4, 2, 2, 2, 1, 3, 1, 3, 3, 3, 3, 0, 2, 4, 4, 2, 3, 1, 4, 3, 2, 3, 4, 1, 1, 4, 2, 0, 0, 0, 1, 3, 2, 2, 2, 3, 3, 2, 2, 1, 3, 1, 0, 2, 0, 2, 4, 4, 2, 3, 4, 1, 3, 2, 1, 3, 0, 1, 3, 3, 4, 0, 1, 0, 2, 0, 0, 4, 4, 0, 1, 1, 2, 3, 4, 0, 3, 0, 3, 4, 2, 0, 2, 2, 1, 2, 2, 3, 3, 1, 3, 3, 1, 1, 3, 2, 0, 0, 1, 3, 4, 1, 0, 0, 4, 0, 1, 4, 0, 0, 2, 2, 4, 3, 0, 4, 4, 4, 2, 3, 0, 0, 0, 3, 4, 1, 3, 1, 2, 4, 4, 4, 3, 3, 2, 1, 3, 1, 4, 4, 2, 1, 4, 2, 1, 0, 2, 3, 2, 0, 2, 3, 4, 0, 3, 3, 0, 3, 0, 1, 0, 2, 0, 0, 0, 4, 4, 1, 4, 2, 3, 1, 4, 3, 3, 3, 1, 2, 0, 4, 0, 4, 4, 1, 3, 2, 1, 0, 0, 1, 1, 4, 2, 2, 1, 4, 4, 3, 3, 2, 4, 2, 2, 1, 1, 2, 4, 3, 3, 1, 2, 2, 3, 0, 3, 2, 1, 1, 2, 3, 4, 1, 3, 1, 4, 1, 1, 1, 3, 0, 1, 4, 0, 4, 1, 3, 2, 4, 2, 0, 0, 4, 1, 4, 4, 1, 3, 1, 3, 3, 0, 1, 1, 0] pubkeycol715 = [0, 2, 1, 1, 0, 2, 4, 2, 0, 3, 3, 3, 1, 0, 1, 1, 0, 0, 4, 3, 4, 1, 4, 2, 0, 0, 1, 1, 0, 4, 2, 1, 1, 3, 0, 2, 1, 0, 3, 1, 4, 3, 0, 1, 0, 4, 4, 3, 1, 1, 2, 1, 2, 0, 2, 4, 1, 1, 4, 3, 0, 1, 4, 0, 0, 3, 3, 2, 3, 0, 3, 0, 3, 1, 3, 2, 3, 4, 4, 0, 1, 2, 4, 0, 0, 3, 4, 1, 3, 3, 3, 1, 3, 3, 4, 3, 2, 1, 2, 0, 1, 0, 1, 1, 1, 4, 4, 2, 0, 4, 4, 4, 1, 2, 0, 3, 0, 0, 1, 1, 4, 2, 1, 4, 0, 2, 4, 0, 2, 1, 1, 3, 1, 2, 0, 4, 3, 0, 0, 1, 4, 2, 0, 2, 3, 2, 3, 4, 0, 1, 2, 1, 4, 0, 4, 3, 0, 2, 3, 3, 4, 0, 0, 3, 1, 1, 1, 2, 0, 4, 1, 0, 3, 4, 4, 2, 0, 4, 1, 4, 0, 0, 2, 2, 1, 3, 4, 4, 0, 0, 0, 0, 0, 2, 0, 4, 0, 1, 1, 3, 3, 2, 0, 1, 3, 3, 1, 4, 2, 1, 0, 1, 2, 4, 1, 3, 2, 0, 3, 4, 1, 1, 1, 0, 0, 3, 0, 0, 0, 2, 3, 2, 3, 1, 1, 0, 1, 4, 3, 2, 0, 4, 3, 2, 4, 2, 3, 1, 3, 2, 4, 1, 0, 2, 3, 1, 1, 2, 3, 1, 3, 0, 1, 0, 1, 4, 1, 2, 1, 4, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 3, 2, 4, 0, 4, 1, 1, 3, 0, 2, 1, 0, 2, 0, 1, 4, 4, 0, 1, 1, 4, 1, 2, 4, 4, 0, 3, 0, 0, 1, 0, 1, 3, 1, 4, 2, 1, 0, 1, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 1, 2, 2, 0, 0, 4, 4, 4, 2, 2, 3, 0, 0, 3, 3, 0, 4, 1, 0, 3, 4, 1, 1, 1, 0, 1, 4, 0, 1, 0, 0, 2, 2, 0, 4, 0, 3, 4, 3, 3, 3, 2, 0, 0, 4, 3, 4, 2, 4, 2, 4, 0, 1, 4, 0, 1, 0, 1, 4, 2, 4, 4, 3, 3] pubkeycol716 = [0, 3, 0, 0, 1, 0, 0, 3, 3, 0, 4, 2, 0, 0, 0, 4, 4, 2, 2, 1, 1, 0, 1, 0, 2, 2, 4, 4, 1, 3, 3, 4, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 4, 4, 2, 1, 0, 2, 4, 4, 1, 4, 2, 1, 1, 1, 0, 2, 2, 4, 4, 2, 2, 3, 3, 3, 4, 3, 2, 1, 4, 1, 4, 1, 4, 0, 0, 2, 2, 4, 1, 1, 4, 2, 4, 2, 2, 1, 2, 1, 2, 4, 4, 4, 4, 4, 1, 3, 0, 4, 0, 0, 2, 0, 3, 1, 1, 4, 4, 3, 3, 1, 4, 2, 3, 4, 2, 1, 2, 4, 0, 0, 3, 0, 1, 4, 1, 2, 0, 2, 3, 1, 0, 2, 0, 4, 4, 2, 0, 0, 2, 3, 4, 1, 3, 0, 0, 2, 4, 0, 3, 2, 2, 4, 2, 1, 2, 4, 0, 0, 4, 3, 2, 2, 0, 2, 3, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 4, 2, 2, 1, 3, 2, 2, 3, 1, 3, 0, 0, 4, 0, 2, 0, 2, 3, 1, 3, 4, 4, 0, 1, 4, 2, 0, 0, 0, 3, 3, 0, 3, 4, 1, 3, 1, 0, 3, 3, 2, 2, 2, 3, 2, 3, 0, 4, 0, 4, 3, 0, 3, 0, 3, 1, 4, 0, 0, 1, 2, 1, 4, 0, 2, 1, 2, 0, 2, 0, 0, 0, 4, 0, 3, 4, 0, 0, 4, 4, 3, 0, 0, 1, 3, 2, 1, 2, 3, 0, 1, 2, 3, 1, 3, 0, 2, 0, 4, 1, 4, 3, 4, 0, 3, 1, 3, 1, 1, 0, 2, 1, 3, 0, 0, 3, 3, 2, 0, 2, 0, 2, 4, 1, 4, 0, 0, 0, 1, 3, 1, 0, 2, 1, 3, 0, 3, 2, 3, 2, 4, 2, 3, 2, 1, 0, 3, 3, 4, 0, 3, 4, 2, 4, 4, 2, 2, 4, 4, 1, 3, 3, 2, 3, 0, 2, 2, 3, 0, 0, 2, 1, 4, 3, 3, 4, 4, 4, 3, 4, 1, 4, 3, 0, 1, 1, 1, 2, 3, 4, 3, 0, 1, 2, 3, 1, 1, 2, 3, 3, 2, 4, 1, 3, 2, 3, 3, 4, 2, 3, 3, 2, 4, 3, 4, 0, 0, 0, 3, 2, 2, 2] pubkeycol717 = [3, 1, 3, 1, 2, 2, 2, 4, 2, 1, 1, 0, 0, 1, 1, 0, 3, 1, 2, 4, 1, 2, 1, 0, 3, 3, 0, 1, 4, 3, 0, 0, 0, 0, 3, 1, 4, 3, 4, 4, 2, 1, 0, 4, 2, 4, 4, 3, 2, 2, 3, 1, 4, 3, 4, 4, 2, 3, 3, 0, 4, 3, 3, 4, 1, 1, 0, 1, 3, 2, 4, 4, 1, 1, 2, 3, 0, 0, 3, 0, 3, 1, 0, 0, 2, 2, 4, 0, 3, 1, 4, 4, 3, 3, 3, 4, 4, 3, 4, 1, 3, 4, 4, 2, 2, 2, 0, 4, 1, 0, 1, 4, 0, 3, 0, 0, 2, 3, 0, 3, 4, 2, 2, 0, 2, 0, 1, 0, 3, 3, 2, 2, 3, 4, 3, 0, 2, 1, 0, 4, 3, 0, 1, 1, 2, 3, 0, 1, 2, 4, 1, 0, 4, 4, 1, 3, 1, 4, 0, 3, 0, 1, 1, 4, 1, 2, 4, 0, 4, 3, 1, 1, 0, 2, 2, 4, 3, 2, 4, 3, 0, 1, 4, 0, 4, 4, 0, 1, 1, 1, 1, 1, 3, 0, 1, 0, 3, 0, 0, 4, 0, 0, 4, 1, 1, 4, 0, 0, 4, 2, 1, 0, 3, 0, 0, 3, 1, 4, 4, 1, 3, 4, 2, 1, 1, 3, 1, 4, 1, 2, 1, 4, 2, 1, 4, 2, 4, 4, 2, 2, 0, 0, 1, 0, 0, 3, 2, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 2, 4, 1, 2, 0, 0, 0, 4, 4, 0, 1, 4, 2, 0, 2, 4, 4, 3, 2, 4, 4, 3, 3, 2, 1, 1, 2, 1, 4, 3, 0, 1, 1, 1, 4, 0, 4, 2, 0, 2, 4, 1, 0, 3, 0, 1, 3, 2, 2, 4, 1, 0, 3, 3, 3, 3, 0, 3, 0, 4, 1, 2, 4, 1, 3, 1, 1, 0, 0, 1, 0, 3, 4, 0, 1, 2, 3, 3, 0, 2, 3, 3, 3, 3, 2, 1, 0, 0, 1, 4, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 3, 3, 0, 4, 3, 2, 2, 2, 1, 1, 2, 1, 3, 4, 4, 0, 1, 2, 4, 2, 0, 4, 1, 2, 1, 2, 1, 3, 2, 2, 1, 1, 4, 1, 3, 1, 2, 1, 2, 3, 0] pubkeycol718 = [2, 4, 1, 2, 1, 4, 4, 0, 4, 4, 2, 3, 3, 3, 0, 1, 3, 0, 2, 4, 0, 0, 0, 3, 0, 2, 3, 3, 0, 4, 2, 4, 2, 2, 4, 0, 4, 2, 2, 1, 4, 4, 3, 0, 3, 2, 3, 2, 1, 3, 2, 2, 1, 3, 1, 0, 3, 2, 3, 1, 0, 4, 2, 1, 2, 4, 1, 3, 0, 1, 3, 1, 1, 0, 3, 1, 1, 2, 2, 4, 2, 3, 0, 4, 3, 0, 1, 4, 2, 0, 3, 2, 3, 0, 0, 0, 3, 1, 2, 0, 2, 4, 1, 4, 2, 1, 3, 0, 0, 4, 2, 2, 0, 4, 3, 3, 0, 1, 2, 1, 3, 0, 0, 2, 2, 0, 2, 3, 3, 2, 3, 1, 2, 3, 4, 3, 3, 3, 1, 3, 1, 2, 0, 4, 4, 0, 4, 2, 0, 4, 1, 2, 1, 4, 3, 3, 3, 1, 1, 0, 2, 0, 4, 0, 3, 4, 3, 3, 3, 0, 1, 3, 0, 4, 3, 2, 1, 0, 1, 4, 1, 0, 4, 2, 4, 2, 4, 4, 0, 3, 1, 2, 1, 2, 3, 4, 3, 0, 1, 4, 2, 2, 4, 3, 3, 4, 1, 1, 3, 2, 2, 4, 0, 3, 3, 3, 0, 2, 1, 1, 2, 4, 0, 2, 4, 2, 4, 4, 1, 3, 2, 4, 3, 3, 4, 0, 1, 0, 3, 1, 1, 3, 1, 2, 1, 4, 2, 0, 2, 0, 1, 4, 0, 0, 4, 2, 2, 1, 1, 3, 2, 3, 1, 3, 2, 2, 0, 2, 0, 1, 2, 1, 4, 1, 3, 1, 0, 3, 2, 2, 0, 2, 2, 3, 1, 4, 4, 4, 3, 3, 2, 0, 2, 1, 4, 0, 4, 3, 3, 0, 4, 2, 2, 1, 0, 1, 3, 1, 0, 1, 2, 3, 1, 2, 2, 3, 1, 3, 3, 0, 1, 4, 1, 0, 2, 1, 2, 1, 1, 4, 1, 1, 3, 4, 1, 2, 1, 4, 0, 2, 4, 1, 3, 3, 0, 4, 3, 0, 2, 4, 3, 1, 3, 0, 4, 3, 2, 2, 2, 2, 2, 3, 4, 0, 4, 4, 3, 0, 3, 2, 1, 2, 1, 1, 1, 0, 3, 2, 3, 0, 1, 1, 1, 3, 1, 3, 2, 3, 0, 0, 4, 3, 4, 0, 0, 2, 1, 3, 1, 1] pubkeycol719 = [1, 2, 3, 3, 4, 0, 1, 4, 1, 0, 3, 2, 0, 0, 1, 1, 4, 3, 4, 1, 3, 1, 4, 1, 0, 0, 0, 2, 2, 2, 1, 4, 3, 0, 2, 2, 4, 0, 3, 3, 1, 4, 2, 2, 0, 3, 0, 2, 0, 0, 3, 2, 1, 4, 2, 1, 4, 3, 3, 4, 1, 4, 0, 4, 0, 3, 0, 0, 4, 4, 4, 2, 3, 1, 1, 0, 0, 2, 1, 0, 0, 3, 4, 3, 0, 4, 4, 2, 0, 2, 3, 3, 0, 4, 2, 4, 0, 0, 1, 2, 4, 4, 3, 3, 4, 0, 4, 2, 3, 2, 4, 2, 2, 3, 0, 1, 1, 0, 2, 2, 4, 2, 1, 3, 4, 1, 4, 0, 0, 2, 3, 1, 2, 4, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 3, 3, 4, 2, 0, 1, 1, 3, 1, 3, 1, 4, 4, 4, 0, 4, 1, 1, 1, 3, 4, 3, 3, 0, 4, 1, 2, 2, 3, 1, 4, 1, 4, 1, 1, 3, 4, 3, 0, 2, 0, 4, 1, 1, 0, 4, 4, 0, 3, 2, 1, 0, 3, 4, 2, 3, 0, 3, 3, 3, 1, 4, 4, 2, 3, 0, 4, 2, 4, 2, 2, 3, 1, 2, 1, 3, 4, 4, 1, 0, 2, 0, 3, 0, 4, 4, 0, 0, 1, 0, 0, 1, 3, 4, 4, 0, 0, 0, 3, 4, 3, 1, 1, 2, 0, 0, 2, 2, 3, 1, 0, 2, 1, 0, 3, 4, 3, 2, 2, 1, 4, 2, 4, 3, 3, 2, 1, 2, 1, 1, 0, 4, 1, 1, 4, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 3, 1, 3, 1, 1, 0, 3, 2, 1, 1, 0, 3, 3, 3, 0, 0, 0, 2, 2, 4, 3, 4, 2, 0, 4, 2, 2, 0, 0, 4, 3, 1, 4, 1, 0, 0, 0, 0, 1, 2, 1, 4, 2, 0, 2, 1, 4, 2, 4, 4, 0, 1, 0, 0, 1, 0, 0, 0, 1, 3, 0, 0, 1, 4, 3, 1, 4, 2, 2, 1, 2, 0, 2, 2, 0, 1, 3, 3, 4, 0, 2, 2, 2, 0, 3, 1, 1, 4, 3, 0, 1, 0, 3, 2, 0, 0, 3, 2, 1, 0, 1, 1, 0, 3, 0, 1, 3, 0, 3, 4] pubkeycol720 = [1, 2, 2, 1, 3, 4, 1, 0, 3, 3, 3, 1, 2, 1, 0, 2, 1, 2, 2, 4, 2, 3, 0, 1, 0, 4, 2, 0, 4, 0, 3, 1, 3, 0, 2, 0, 0, 1, 4, 4, 2, 3, 1, 2, 3, 0, 4, 0, 4, 1, 4, 3, 1, 2, 2, 4, 3, 4, 4, 2, 2, 1, 2, 0, 2, 4, 3, 0, 0, 0, 2, 1, 4, 0, 3, 1, 0, 4, 3, 0, 0, 3, 1, 0, 3, 2, 2, 1, 1, 1, 0, 4, 1, 3, 0, 3, 0, 0, 1, 1, 0, 1, 0, 4, 3, 1, 1, 0, 3, 4, 0, 2, 0, 3, 3, 2, 0, 2, 0, 4, 4, 3, 3, 0, 0, 2, 0, 0, 0, 3, 1, 0, 4, 4, 3, 3, 1, 2, 2, 4, 4, 4, 3, 1, 3, 4, 0, 0, 4, 1, 2, 2, 1, 1, 0, 3, 4, 0, 4, 0, 2, 1, 3, 3, 0, 1, 2, 0, 0, 1, 0, 3, 1, 4, 0, 0, 3, 3, 4, 3, 1, 1, 3, 0, 0, 1, 3, 4, 1, 4, 4, 4, 0, 0, 0, 3, 4, 4, 4, 3, 2, 3, 0, 1, 0, 0, 3, 1, 2, 2, 3, 3, 2, 0, 4, 4, 3, 4, 3, 2, 0, 0, 1, 3, 1, 3, 2, 4, 1, 0, 3, 1, 4, 1, 1, 0, 3, 0, 2, 3, 0, 0, 0, 3, 2, 0, 3, 0, 3, 0, 1, 0, 1, 0, 3, 2, 0, 3, 0, 4, 1, 4, 3, 1, 3, 1, 4, 3, 4, 0, 1, 1, 2, 0, 1, 4, 0, 1, 2, 3, 1, 3, 4, 2, 4, 1, 0, 1, 1, 3, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 2, 0, 0, 1, 0, 1, 1, 3, 2, 4, 1, 3, 1, 3, 1, 3, 2, 3, 1, 3, 4, 3, 3, 2, 2, 4, 0, 0, 1, 2, 4, 4, 0, 1, 1, 2, 4, 4, 4, 2, 2, 2, 2, 4, 3, 1, 4, 1, 3, 4, 1, 4, 2, 2, 4, 4, 3, 1, 0, 2, 2, 0, 3, 1, 4, 4, 1, 3, 0, 2, 0, 3, 4, 4, 4, 2, 3, 4, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 3, 3, 4, 0, 2, 0, 2, 3, 4, 1, 2] pubkeycol721 = [0, 4, 1, 0, 2, 2, 4, 4, 2, 4, 4, 1, 4, 2, 0, 2, 2, 4, 0, 0, 1, 4, 3, 3, 4, 0, 4, 0, 4, 1, 4, 1, 4, 1, 2, 2, 4, 1, 3, 2, 3, 3, 2, 0, 0, 4, 2, 4, 1, 2, 2, 4, 3, 4, 1, 2, 1, 1, 3, 2, 3, 1, 0, 4, 3, 1, 3, 4, 0, 2, 3, 2, 1, 1, 3, 2, 0, 2, 1, 3, 2, 3, 3, 1, 3, 2, 2, 4, 3, 2, 2, 2, 3, 0, 1, 3, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 3, 2, 3, 2, 2, 0, 2, 0, 2, 4, 0, 0, 3, 3, 3, 2, 0, 4, 1, 3, 1, 1, 0, 1, 4, 2, 3, 4, 2, 4, 0, 0, 1, 3, 1, 2, 3, 2, 1, 1, 2, 0, 0, 0, 1, 4, 4, 0, 3, 0, 1, 4, 2, 2, 1, 1, 4, 4, 2, 0, 2, 4, 1, 4, 1, 2, 1, 3, 1, 1, 0, 3, 2, 2, 2, 1, 1, 2, 1, 0, 3, 4, 0, 3, 0, 2, 4, 3, 4, 2, 0, 0, 0, 0, 1, 4, 1, 4, 1, 1, 1, 3, 0, 0, 3, 3, 0, 4, 0, 4, 2, 4, 1, 4, 0, 2, 3, 2, 2, 3, 0, 2, 4, 2, 0, 3, 2, 3, 0, 1, 0, 4, 3, 3, 3, 0, 0, 2, 0, 0, 3, 1, 1, 4, 3, 4, 2, 1, 3, 0, 4, 3, 1, 4, 0, 2, 3, 3, 4, 1, 2, 2, 0, 2, 2, 0, 1, 3, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 2, 2, 1, 3, 3, 3, 1, 1, 2, 4, 3, 1, 2, 0, 3, 0, 0, 3, 1, 0, 0, 2, 1, 3, 4, 1, 1, 2, 4, 2, 1, 1, 1, 1, 0, 3, 1, 1, 0, 2, 0, 0, 4, 0, 0, 1, 4, 1, 2, 1, 3, 4, 1, 2, 0, 1, 4, 0, 2, 0, 3, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 4, 1, 3, 0, 1, 0, 0, 3, 3, 4, 4, 2, 0, 1, 3, 0, 0, 3, 0, 2, 3, 0, 0, 4, 0, 0, 3, 3, 4, 4, 1, 1, 2, 0, 1, 4, 0, 0, 0, 0, 0, 3, 3, 4] pubkeycol722 = [2, 0, 4, 3, 4, 3, 2, 3, 0, 3, 2, 3, 3, 3, 1, 4, 1, 4, 1, 1, 3, 3, 4, 2, 0, 3, 4, 2, 0, 0, 2, 4, 0, 1, 2, 4, 1, 3, 2, 1, 0, 3, 4, 1, 0, 3, 2, 0, 2, 1, 1, 2, 1, 2, 3, 1, 0, 1, 3, 1, 4, 0, 1, 4, 1, 2, 1, 2, 3, 1, 0, 1, 4, 0, 2, 3, 0, 1, 1, 2, 0, 3, 0, 0, 0, 1, 2, 3, 3, 1, 2, 3, 3, 2, 1, 4, 2, 1, 1, 3, 1, 0, 3, 3, 2, 0, 1, 3, 4, 0, 0, 3, 1, 3, 1, 3, 3, 3, 4, 4, 1, 4, 2, 0, 1, 1, 4, 1, 3, 2, 3, 0, 4, 0, 0, 2, 3, 1, 2, 3, 0, 1, 1, 1, 4, 1, 4, 2, 4, 1, 1, 2, 3, 2, 0, 0, 2, 4, 4, 1, 1, 4, 2, 4, 3, 0, 3, 1, 4, 1, 3, 4, 0, 2, 1, 1, 4, 3, 3, 0, 3, 1, 4, 1, 0, 0, 2, 1, 3, 2, 1, 3, 0, 2, 1, 1, 4, 0, 1, 2, 0, 3, 2, 4, 2, 4, 3, 2, 2, 2, 1, 2, 3, 0, 3, 4, 1, 1, 3, 3, 2, 2, 4, 1, 0, 3, 4, 4, 1, 4, 3, 2, 1, 4, 3, 0, 3, 2, 1, 3, 4, 0, 0, 1, 2, 0, 4, 2, 0, 2, 4, 1, 3, 2, 0, 3, 0, 4, 0, 2, 1, 1, 3, 0, 2, 4, 4, 2, 1, 2, 4, 2, 0, 4, 4, 1, 3, 2, 0, 4, 2, 3, 2, 1, 1, 0, 3, 2, 0, 1, 3, 4, 3, 4, 4, 1, 0, 2, 4, 2, 3, 0, 4, 1, 4, 2, 0, 1, 0, 0, 1, 4, 0, 0, 3, 1, 0, 1, 2, 1, 1, 3, 4, 1, 4, 4, 3, 4, 2, 4, 0, 0, 0, 2, 4, 4, 0, 2, 2, 1, 1, 4, 1, 3, 0, 3, 2, 2, 3, 0, 3, 1, 2, 2, 2, 2, 1, 2, 0, 4, 0, 4, 2, 4, 3, 2, 0, 0, 0, 1, 3, 2, 0, 1, 0, 1, 4, 2, 0, 3, 2, 2, 4, 2, 4, 4, 3, 1, 1, 3, 4, 2, 3, 1, 1, 3, 1, 4, 4, 0] pubkeycol723 = [2, 0, 2, 1, 3, 2, 2, 4, 0, 4, 2, 4, 2, 0, 0, 3, 4, 1, 4, 4, 2, 0, 3, 1, 4, 0, 1, 0, 4, 4, 4, 4, 0, 3, 0, 0, 3, 2, 2, 4, 0, 3, 0, 2, 1, 1, 0, 2, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 3, 0, 4, 4, 3, 2, 2, 4, 2, 0, 4, 2, 4, 1, 2, 0, 2, 0, 1, 4, 4, 2, 0, 0, 2, 1, 1, 0, 0, 3, 4, 0, 3, 3, 0, 1, 3, 3, 4, 0, 4, 1, 4, 1, 1, 0, 3, 2, 4, 1, 4, 0, 2, 4, 4, 2, 1, 0, 2, 4, 0, 3, 4, 0, 0, 3, 2, 0, 3, 2, 0, 4, 0, 1, 4, 4, 2, 1, 1, 4, 3, 0, 2, 4, 3, 4, 2, 4, 0, 4, 1, 3, 0, 4, 4, 0, 0, 0, 3, 2, 1, 4, 2, 0, 2, 4, 4, 0, 1, 0, 2, 0, 2, 4, 1, 0, 4, 4, 2, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 4, 1, 1, 0, 4, 4, 1, 2, 3, 0, 4, 3, 0, 4, 2, 2, 4, 4, 1, 3, 4, 4, 2, 0, 2, 4, 4, 1, 1, 3, 0, 0, 2, 2, 1, 0, 1, 4, 3, 0, 4, 1, 1, 1, 0, 1, 3, 4, 0, 2, 0, 0, 4, 1, 2, 4, 4, 3, 4, 0, 2, 3, 4, 0, 3, 3, 0, 1, 2, 1, 0, 1, 4, 1, 2, 3, 4, 1, 3, 0, 3, 3, 3, 4, 0, 0, 0, 2, 0, 4, 3, 1, 1, 3, 4, 0, 3, 2, 1, 1, 0, 2, 0, 4, 1, 3, 0, 2, 4, 0, 0, 1, 3, 0, 0, 4, 2, 3, 2, 0, 0, 3, 1, 0, 2, 0, 0, 3, 2, 2, 4, 1, 1, 1, 4, 4, 4, 1, 0, 3, 1, 3, 1, 2, 4, 2, 1, 0, 4, 4, 4, 1, 2, 4, 2, 2, 2, 3, 0, 1, 3, 3, 2, 0, 3, 4, 4, 3, 2, 2, 4, 1, 3, 4, 2, 3, 4, 3, 3, 2, 1, 1, 3, 1, 4, 4, 4, 0, 4, 1, 2, 1, 1, 4, 0, 1, 3, 4, 0, 0, 0, 1, 4, 3, 1, 2, 2, 2, 2, 1, 2] pubkeycol724 = [3, 2, 3, 3, 4, 2, 1, 0, 3, 1, 1, 3, 1, 0, 2, 1, 4, 4, 4, 1, 2, 1, 2, 3, 3, 3, 0, 3, 1, 4, 4, 1, 4, 4, 3, 1, 3, 3, 0, 0, 4, 3, 2, 1, 3, 4, 3, 1, 2, 0, 3, 4, 4, 4, 2, 2, 4, 4, 1, 4, 0, 3, 1, 0, 0, 1, 4, 0, 1, 3, 4, 4, 3, 0, 2, 1, 3, 2, 2, 3, 0, 0, 2, 0, 4, 3, 4, 1, 2, 3, 0, 1, 0, 0, 2, 1, 3, 0, 3, 1, 3, 3, 4, 4, 3, 3, 2, 1, 0, 4, 4, 3, 3, 4, 1, 1, 2, 4, 0, 4, 0, 0, 1, 4, 4, 3, 1, 0, 4, 1, 0, 0, 4, 1, 2, 4, 0, 4, 2, 2, 1, 1, 4, 2, 1, 2, 1, 0, 2, 2, 3, 0, 0, 3, 4, 0, 3, 4, 1, 0, 0, 0, 1, 0, 2, 4, 4, 4, 2, 3, 4, 2, 2, 1, 0, 4, 1, 2, 4, 4, 3, 4, 1, 0, 2, 3, 0, 4, 2, 0, 1, 1, 3, 2, 2, 2, 0, 3, 3, 0, 4, 1, 0, 0, 1, 3, 1, 0, 0, 2, 0, 3, 2, 4, 4, 0, 0, 0, 4, 0, 4, 2, 3, 3, 0, 3, 4, 0, 0, 3, 1, 4, 4, 4, 3, 0, 2, 3, 2, 2, 3, 4, 4, 3, 0, 0, 0, 2, 4, 1, 2, 2, 0, 3, 1, 2, 3, 4, 4, 2, 4, 3, 2, 1, 2, 1, 1, 0, 3, 1, 1, 4, 0, 2, 4, 3, 0, 3, 2, 1, 4, 1, 1, 4, 4, 0, 0, 3, 2, 4, 4, 2, 4, 2, 2, 4, 2, 1, 3, 2, 2, 1, 1, 1, 4, 2, 3, 0, 1, 3, 3, 2, 1, 1, 0, 3, 4, 4, 2, 2, 3, 0, 3, 3, 1, 4, 4, 1, 0, 4, 3, 1, 0, 1, 0, 3, 2, 1, 1, 4, 0, 0, 3, 3, 2, 2, 1, 1, 1, 0, 0, 3, 4, 0, 1, 1, 4, 3, 0, 3, 0, 2, 3, 0, 4, 0, 2, 2, 3, 1, 3, 4, 1, 1, 1, 2, 0, 4, 1, 0, 1, 0, 1, 1, 3, 2, 2, 1, 1, 0, 3, 0, 4, 2, 2, 2, 0, 0, 0, 4] pubkeycol725 = [1, 4, 3, 0, 2, 1, 0, 1, 0, 1, 0, 4, 4, 1, 2, 3, 4, 4, 2, 4, 3, 1, 4, 3, 0, 2, 2, 4, 0, 1, 2, 1, 4, 2, 1, 2, 1, 2, 0, 3, 3, 0, 1, 2, 1, 2, 2, 3, 4, 1, 3, 2, 3, 0, 1, 1, 0, 0, 2, 4, 4, 0, 4, 4, 3, 4, 0, 3, 4, 0, 1, 3, 4, 3, 1, 2, 3, 3, 4, 0, 0, 2, 2, 1, 4, 3, 3, 4, 0, 0, 4, 4, 1, 3, 0, 1, 1, 2, 0, 3, 2, 1, 4, 1, 0, 1, 0, 2, 3, 3, 2, 1, 2, 0, 0, 2, 3, 4, 4, 3, 1, 2, 2, 0, 3, 4, 4, 0, 2, 2, 4, 1, 0, 0, 4, 0, 1, 3, 1, 1, 0, 4, 3, 2, 3, 3, 3, 2, 3, 2, 1, 4, 0, 4, 1, 2, 0, 4, 1, 0, 1, 4, 1, 3, 0, 2, 4, 3, 1, 3, 4, 2, 1, 2, 1, 3, 3, 1, 2, 1, 0, 3, 4, 2, 2, 3, 0, 2, 2, 1, 3, 3, 2, 2, 3, 0, 0, 2, 4, 4, 0, 4, 2, 4, 0, 2, 4, 3, 2, 3, 2, 0, 0, 3, 2, 3, 0, 1, 1, 3, 0, 0, 3, 1, 4, 4, 2, 4, 3, 1, 3, 3, 4, 3, 1, 0, 3, 0, 3, 3, 1, 0, 0, 1, 2, 3, 2, 1, 1, 0, 4, 0, 0, 4, 4, 4, 2, 4, 3, 3, 3, 2, 4, 0, 1, 4, 3, 2, 0, 3, 4, 3, 1, 3, 2, 2, 2, 1, 3, 0, 0, 1, 1, 4, 3, 2, 4, 3, 1, 0, 3, 3, 3, 0, 0, 2, 4, 1, 4, 1, 2, 4, 4, 1, 2, 4, 2, 0, 4, 1, 2, 4, 3, 1, 2, 4, 2, 0, 1, 4, 4, 1, 4, 2, 3, 2, 0, 4, 2, 1, 3, 0, 3, 0, 3, 1, 4, 0, 4, 0, 4, 0, 1, 1, 0, 2, 1, 3, 2, 3, 1, 1, 3, 4, 0, 1, 0, 4, 4, 0, 3, 1, 1, 4, 2, 0, 4, 2, 1, 0, 0, 4, 1, 4, 0, 2, 4, 4, 4, 3, 2, 0, 0, 4, 2, 4, 2, 2, 1, 1, 0, 2, 4, 3, 3, 2, 3, 1, 1, 0] pubkeycol726 = [0, 1, 2, 4, 2, 2, 0, 4, 0, 1, 2, 1, 3, 1, 2, 2, 1, 0, 2, 4, 4, 0, 4, 2, 3, 4, 4, 3, 3, 4, 1, 2, 0, 0, 0, 0, 1, 2, 1, 4, 2, 0, 1, 0, 3, 2, 1, 3, 0, 4, 0, 3, 0, 3, 1, 1, 0, 2, 0, 3, 2, 4, 2, 4, 0, 1, 4, 4, 2, 4, 1, 2, 3, 4, 4, 2, 1, 2, 0, 1, 4, 0, 1, 0, 4, 0, 2, 3, 3, 0, 1, 0, 4, 0, 3, 4, 2, 2, 4, 4, 3, 2, 2, 0, 2, 2, 4, 2, 3, 0, 3, 3, 4, 1, 3, 3, 1, 0, 0, 2, 0, 2, 4, 1, 3, 0, 2, 2, 2, 4, 2, 3, 4, 3, 3, 4, 1, 2, 1, 0, 1, 4, 4, 4, 1, 3, 4, 0, 2, 1, 1, 4, 2, 0, 0, 4, 1, 0, 0, 3, 3, 4, 2, 1, 3, 3, 3, 0, 1, 2, 0, 4, 2, 1, 4, 1, 2, 2, 2, 4, 3, 1, 3, 1, 0, 2, 1, 0, 2, 2, 4, 2, 0, 3, 2, 4, 0, 4, 0, 2, 2, 4, 2, 0, 4, 3, 4, 3, 2, 4, 0, 2, 4, 3, 4, 1, 0, 2, 2, 4, 4, 4, 3, 1, 2, 4, 2, 1, 0, 3, 1, 4, 1, 0, 2, 1, 3, 3, 1, 0, 4, 0, 2, 0, 2, 3, 2, 4, 2, 4, 3, 3, 4, 4, 2, 2, 2, 2, 4, 0, 1, 4, 2, 4, 3, 4, 0, 3, 0, 1, 3, 4, 4, 0, 0, 1, 4, 0, 3, 1, 4, 3, 1, 3, 4, 1, 2, 4, 4, 4, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 4, 2, 2, 2, 1, 0, 2, 3, 1, 2, 1, 3, 4, 4, 4, 0, 1, 4, 2, 0, 0, 1, 1, 1, 2, 4, 2, 3, 1, 3, 4, 0, 4, 2, 3, 0, 4, 2, 1, 0, 2, 1, 0, 3, 4, 3, 1, 2, 0, 2, 2, 0, 4, 3, 0, 3, 2, 4, 4, 4, 3, 1, 4, 2, 2, 0, 3, 2, 2, 3, 2, 3, 4, 3, 4, 3, 0, 0, 3, 1, 2, 3, 3, 1, 3, 4, 1, 3, 1, 4, 1, 3, 2, 4, 4, 2, 3, 2, 2, 1] pubkeycol727 = [1, 3, 1, 4, 1, 1, 1, 4, 0, 2, 3, 0, 4, 1, 1, 0, 3, 1, 3, 1, 4, 2, 1, 2, 4, 0, 1, 2, 0, 0, 1, 0, 4, 1, 0, 4, 0, 1, 3, 1, 1, 2, 1, 3, 3, 4, 4, 0, 4, 4, 3, 4, 2, 1, 4, 4, 2, 0, 0, 1, 1, 3, 1, 3, 3, 1, 0, 4, 0, 4, 3, 1, 4, 2, 1, 1, 2, 4, 3, 4, 3, 4, 4, 2, 2, 1, 4, 4, 0, 1, 4, 3, 4, 2, 3, 2, 3, 4, 1, 4, 3, 4, 2, 3, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 4, 0, 1, 2, 0, 0, 1, 1, 0, 4, 0, 1, 0, 0, 4, 1, 1, 4, 2, 3, 1, 3, 2, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 4, 0, 0, 4, 2, 1, 4, 0, 3, 4, 2, 2, 2, 0, 3, 4, 3, 1, 4, 0, 1, 0, 4, 0, 3, 0, 0, 1, 0, 1, 1, 4, 4, 4, 2, 3, 0, 0, 0, 4, 2, 4, 1, 1, 2, 3, 2, 2, 4, 0, 4, 0, 0, 2, 2, 1, 3, 2, 4, 0, 0, 2, 4, 1, 3, 0, 2, 1, 4, 4, 1, 2, 4, 2, 2, 4, 3, 1, 2, 0, 4, 2, 3, 2, 0, 0, 1, 3, 2, 3, 4, 1, 4, 0, 1, 1, 0, 3, 2, 2, 2, 4, 0, 3, 0, 4, 2, 4, 1, 3, 3, 2, 1, 2, 4, 3, 2, 0, 2, 4, 1, 0, 3, 3, 3, 4, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 4, 3, 1, 3, 2, 1, 0, 4, 3, 0, 3, 3, 4, 3, 1, 4, 3, 0, 4, 2, 0, 0, 3, 0, 3, 3, 1, 1, 2, 1, 3, 0, 4, 4, 0, 0, 3, 0, 0, 2, 2, 4, 1, 3, 2, 3, 4, 4, 0, 1, 4, 3, 4, 1, 4, 0, 2, 0, 2, 4, 2, 0, 2, 4, 1, 2, 2, 3, 2, 2, 4, 1, 0, 1, 4, 4, 3, 2, 2, 4, 0, 3, 3, 0, 0, 4, 2, 4, 4, 3, 3, 1, 2, 1, 4, 0, 0, 1, 0, 1, 4, 4, 1, 1, 2, 2, 3, 4, 2, 4] pubkeycol728 = [2, 2, 0, 3, 4, 1, 0, 4, 3, 2, 2, 0, 4, 3, 3, 2, 0, 3, 4, 3, 1, 3, 2, 3, 2, 2, 4, 1, 3, 4, 3, 4, 2, 3, 0, 1, 0, 2, 4, 4, 0, 1, 3, 0, 3, 2, 0, 2, 3, 3, 1, 0, 3, 0, 0, 1, 3, 3, 4, 0, 2, 1, 0, 3, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 4, 0, 1, 1, 1, 2, 0, 3, 3, 1, 1, 4, 1, 4, 4, 3, 3, 1, 2, 2, 1, 4, 1, 0, 1, 0, 0, 0, 0, 3, 4, 4, 0, 1, 1, 3, 2, 0, 3, 3, 1, 4, 1, 2, 0, 2, 2, 4, 1, 3, 1, 1, 2, 3, 4, 2, 3, 2, 3, 0, 4, 0, 1, 2, 2, 0, 3, 0, 4, 3, 1, 0, 2, 4, 0, 2, 3, 1, 1, 2, 3, 2, 1, 1, 3, 2, 4, 0, 3, 4, 4, 1, 2, 4, 4, 0, 3, 4, 3, 2, 1, 3, 1, 3, 2, 2, 3, 3, 2, 4, 1, 4, 2, 0, 0, 0, 1, 4, 4, 4, 0, 1, 2, 2, 3, 3, 3, 0, 3, 0, 4, 0, 0, 1, 2, 2, 1, 1, 4, 4, 0, 4, 3, 2, 1, 3, 3, 3, 4, 3, 1, 2, 2, 4, 4, 4, 3, 4, 1, 4, 3, 2, 1, 2, 2, 3, 1, 0, 1, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 0, 2, 1, 3, 1, 0, 2, 3, 4, 4, 2, 2, 2, 2, 2, 1, 4, 2, 2, 1, 1, 3, 2, 4, 0, 0, 2, 2, 2, 4, 4, 4, 4, 0, 3, 2, 0, 3, 0, 2, 4, 1, 3, 4, 3, 1, 1, 0, 1, 2, 4, 0, 2, 0, 0, 3, 3, 2, 3, 3, 2, 4, 2, 1, 4, 3, 0, 0, 1, 0, 1, 1, 3, 2, 4, 2, 0, 4, 1, 3, 4, 0, 1, 1, 0, 3, 4, 2, 4, 2, 3, 3, 2, 2, 0, 3, 4, 0, 4, 0, 1, 2, 0, 0, 2, 4, 4, 2, 3, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 3, 4, 0, 4, 1, 0, 0, 1, 2, 1, 2, 3, 2, 3, 0, 0, 0, 2, 2, 4, 1, 4, 3, 4, 2, 2] pubkeycol729 = [2, 2, 2, 0, 4, 4, 0, 2, 3, 0, 0, 0, 0, 2, 0, 2, 4, 1, 4, 2, 4, 3, 2, 4, 0, 3, 0, 0, 3, 3, 2, 2, 4, 4, 1, 4, 4, 4, 3, 0, 2, 1, 1, 3, 3, 2, 4, 2, 1, 4, 3, 3, 0, 2, 4, 1, 1, 1, 3, 2, 3, 1, 3, 0, 4, 0, 1, 1, 3, 0, 1, 4, 0, 1, 0, 0, 1, 4, 1, 3, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 4, 3, 3, 0, 0, 4, 0, 2, 4, 1, 0, 2, 3, 3, 0, 1, 3, 3, 3, 1, 1, 4, 0, 3, 0, 4, 2, 1, 0, 3, 4, 2, 2, 2, 1, 3, 0, 3, 4, 2, 3, 2, 1, 3, 4, 0, 0, 3, 1, 2, 0, 3, 1, 3, 2, 0, 3, 1, 4, 3, 0, 3, 0, 0, 1, 1, 0, 3, 4, 2, 1, 0, 4, 3, 0, 3, 2, 3, 0, 1, 3, 4, 4, 0, 4, 2, 3, 3, 0, 0, 4, 3, 1, 1, 2, 0, 3, 4, 1, 1, 3, 4, 3, 3, 3, 3, 1, 2, 0, 4, 4, 3, 0, 2, 0, 3, 4, 4, 4, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 1, 4, 3, 2, 2, 2, 4, 2, 0, 3, 2, 1, 4, 3, 2, 4, 2, 2, 2, 1, 4, 4, 3, 1, 4, 4, 0, 2, 0, 4, 2, 3, 3, 1, 1, 4, 3, 0, 0, 2, 4, 3, 3, 2, 1, 3, 4, 0, 2, 3, 2, 3, 2, 3, 0, 1, 2, 0, 3, 2, 2, 2, 4, 1, 4, 1, 4, 1, 3, 3, 0, 4, 3, 3, 1, 2, 0, 1, 3, 0, 1, 3, 3, 0, 4, 0, 2, 2, 4, 0, 2, 0, 4, 0, 4, 1, 0, 2, 1, 1, 3, 4, 0, 3, 4, 4, 0, 1, 2, 0, 4, 1, 2, 0, 3, 1, 4, 4, 2, 2, 4, 0, 2, 4, 1, 3, 0, 0, 0, 4, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 4, 1, 1, 2, 1, 2, 0, 3, 4, 0, 4, 1, 1, 0, 3, 3, 2, 1, 4, 4, 2, 0, 4, 0, 3, 3, 3, 1, 1, 2, 3, 2, 3, 2, 2, 1] pubkeycol730 = [2, 0, 1, 1, 3, 0, 2, 2, 4, 3, 0, 2, 3, 4, 0, 4, 0, 4, 1, 1, 2, 3, 0, 4, 2, 1, 0, 3, 2, 4, 4, 2, 4, 1, 3, 3, 0, 3, 2, 3, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 3, 3, 4, 2, 0, 1, 0, 2, 1, 1, 3, 2, 0, 2, 1, 0, 3, 3, 4, 2, 3, 4, 3, 1, 2, 1, 2, 3, 2, 3, 1, 0, 0, 4, 1, 1, 4, 0, 4, 0, 3, 1, 3, 2, 3, 3, 0, 3, 1, 2, 0, 2, 0, 1, 3, 3, 2, 3, 2, 3, 1, 3, 4, 3, 2, 1, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 2, 1, 1, 0, 1, 4, 1, 3, 1, 4, 2, 4, 2, 0, 4, 1, 0, 1, 2, 4, 0, 4, 3, 4, 2, 0, 1, 2, 0, 4, 2, 1, 1, 0, 1, 3, 0, 2, 0, 2, 2, 4, 1, 0, 2, 1, 2, 1, 0, 4, 0, 4, 3, 3, 3, 1, 2, 0, 1, 4, 3, 1, 3, 1, 3, 0, 1, 3, 4, 2, 2, 3, 1, 3, 4, 1, 0, 2, 1, 1, 3, 3, 0, 2, 2, 0, 3, 1, 1, 3, 0, 2, 0, 0, 3, 2, 4, 3, 1, 1, 0, 0, 2, 1, 4, 3, 1, 3, 0, 1, 4, 2, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 3, 3, 0, 0, 2, 4, 4, 0, 2, 4, 2, 2, 0, 2, 3, 3, 4, 1, 4, 0, 2, 4, 2, 2, 0, 2, 4, 3, 2, 2, 3, 0, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 2, 1, 4, 3, 3, 4, 4, 2, 4, 3, 1, 3, 3, 4, 2, 3, 0, 1, 1, 4, 1, 2, 3, 4, 0, 3, 0, 1, 4, 0, 3, 1, 4, 4, 4, 2, 3, 3, 0, 1, 1, 3, 4, 2, 1, 1, 3, 1, 4, 0, 2, 3, 2, 1, 2, 1, 2, 3, 0, 0, 1, 4, 3, 3, 0, 0, 1, 4, 1, 4, 3, 4, 3, 0, 2, 0, 0, 3, 0, 0, 0, 0, 2, 2, 4, 1, 1, 3, 2, 1, 1, 0, 1, 4, 3, 1, 3, 1, 4, 3, 4, 4, 2, 2, 3, 3, 3, 1] pubkeycol731 = [4, 4, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 4, 3, 0, 1, 1, 2, 1, 1, 0, 4, 4, 2, 4, 4, 2, 2, 4, 2, 2, 3, 1, 2, 1, 1, 1, 1, 4, 1, 0, 0, 2, 4, 1, 3, 3, 0, 0, 0, 1, 1, 1, 2, 4, 3, 1, 4, 0, 2, 2, 4, 3, 0, 0, 2, 2, 1, 1, 3, 0, 3, 4, 4, 4, 0, 1, 0, 2, 1, 4, 3, 2, 0, 0, 4, 1, 1, 0, 3, 3, 1, 2, 2, 4, 3, 0, 4, 2, 0, 0, 0, 1, 3, 1, 2, 4, 0, 3, 2, 1, 0, 1, 1, 2, 4, 0, 3, 1, 2, 2, 3, 2, 2, 1, 4, 0, 3, 3, 1, 3, 3, 0, 4, 1, 1, 0, 3, 3, 2, 1, 1, 2, 4, 4, 1, 0, 3, 3, 3, 0, 4, 2, 0, 1, 4, 1, 4, 3, 3, 3, 0, 4, 3, 0, 4, 0, 3, 0, 2, 2, 4, 1, 1, 4, 2, 1, 0, 4, 3, 0, 3, 0, 0, 4, 2, 1, 3, 1, 4, 1, 4, 2, 2, 0, 0, 2, 4, 1, 0, 4, 4, 3, 4, 0, 2, 2, 0, 3, 1, 2, 2, 2, 4, 3, 4, 3, 0, 2, 4, 4, 2, 2, 0, 4, 1, 2, 3, 3, 4, 1, 1, 2, 1, 0, 4, 4, 2, 4, 1, 2, 3, 4, 0, 0, 2, 3, 4, 0, 1, 4, 0, 2, 4, 0, 0, 1, 2, 4, 4, 4, 0, 1, 0, 0, 3, 3, 3, 1, 1, 1, 0, 4, 2, 4, 1, 1, 4, 0, 1, 1, 1, 4, 4, 1, 1, 4, 4, 3, 2, 1, 0, 3, 0, 4, 3, 2, 4, 3, 1, 1, 4, 2, 4, 3, 2, 2, 1, 0, 3, 0, 4, 4, 4, 2, 1, 1, 2, 0, 4, 3, 4, 4, 0, 4, 4, 3, 4, 2, 0, 0, 2, 3, 3, 1, 0, 4, 3, 3, 4, 3, 1, 0, 1, 1, 0, 1, 3, 1, 4, 3, 2, 1, 0, 3, 0, 3, 3, 4, 1, 2, 4, 3, 1, 0, 2, 0, 3, 3, 1, 4, 2, 2, 0, 2, 3, 2, 2, 0, 2, 1, 4, 2, 4, 0, 3, 2, 3, 1, 0, 3, 3, 0, 0, 1, 3, 1, 2, 2] pubkeycol732 = [2, 4, 2, 3, 4, 4, 1, 4, 3, 3, 3, 4, 2, 0, 1, 0, 1, 3, 4, 4, 2, 0, 2, 4, 4, 1, 2, 1, 0, 4, 0, 3, 1, 1, 4, 4, 0, 2, 1, 1, 2, 2, 3, 3, 2, 4, 1, 4, 3, 0, 2, 0, 3, 3, 0, 2, 0, 2, 4, 4, 0, 4, 3, 4, 4, 4, 4, 0, 2, 2, 4, 1, 1, 0, 1, 0, 2, 0, 3, 3, 4, 0, 0, 4, 1, 4, 1, 4, 1, 4, 4, 0, 2, 1, 0, 3, 4, 4, 1, 3, 3, 0, 4, 4, 2, 2, 2, 2, 3, 1, 0, 2, 0, 4, 2, 1, 4, 1, 4, 1, 0, 1, 3, 1, 2, 1, 1, 2, 0, 3, 0, 0, 0, 4, 2, 4, 0, 0, 0, 3, 1, 4, 2, 4, 1, 4, 1, 1, 1, 2, 4, 2, 4, 2, 0, 1, 3, 1, 1, 0, 4, 4, 4, 2, 1, 4, 0, 3, 2, 3, 1, 0, 0, 1, 0, 4, 1, 3, 4, 4, 0, 1, 3, 2, 3, 1, 4, 4, 2, 3, 1, 1, 2, 1, 0, 0, 4, 1, 2, 3, 3, 0, 2, 2, 2, 3, 0, 0, 0, 1, 2, 1, 0, 4, 0, 1, 2, 2, 1, 3, 3, 3, 1, 3, 2, 1, 0, 2, 2, 4, 4, 1, 0, 3, 3, 1, 2, 2, 1, 4, 1, 1, 4, 3, 4, 1, 0, 0, 2, 3, 3, 3, 4, 3, 4, 1, 4, 0, 1, 3, 0, 2, 1, 2, 3, 2, 3, 1, 3, 1, 1, 3, 3, 3, 1, 3, 0, 0, 1, 2, 0, 4, 4, 2, 0, 1, 0, 1, 0, 1, 3, 2, 1, 1, 1, 2, 0, 2, 4, 3, 1, 4, 4, 1, 1, 4, 4, 0, 4, 3, 0, 2, 2, 0, 2, 3, 2, 0, 0, 3, 4, 2, 3, 0, 4, 4, 1, 0, 4, 0, 1, 3, 2, 1, 2, 1, 0, 3, 2, 0, 4, 2, 0, 0, 0, 4, 2, 1, 4, 0, 4, 4, 0, 4, 1, 1, 3, 0, 2, 1, 4, 0, 2, 2, 3, 4, 4, 1, 0, 3, 0, 3, 4, 1, 1, 3, 1, 3, 1, 2, 0, 4, 0, 2, 2, 2, 4, 0, 1, 0, 1, 3, 2, 1, 2, 4, 0, 2, 4, 4] pubkeycol733 = [4, 3, 3, 2, 4, 4, 0, 3, 4, 2, 4, 0, 0, 4, 0, 3, 2, 3, 2, 3, 0, 4, 4, 1, 2, 3, 4, 2, 3, 4, 4, 4, 0, 3, 4, 3, 4, 3, 1, 0, 4, 2, 3, 1, 0, 1, 3, 3, 4, 4, 1, 4, 2, 2, 3, 1, 4, 2, 3, 0, 0, 1, 1, 1, 2, 3, 3, 0, 3, 3, 4, 4, 3, 0, 1, 4, 3, 2, 0, 4, 2, 4, 0, 1, 4, 4, 1, 1, 3, 3, 3, 2, 4, 2, 3, 2, 0, 0, 1, 1, 2, 2, 1, 1, 3, 1, 4, 0, 3, 1, 2, 4, 3, 0, 1, 1, 4, 2, 0, 4, 0, 4, 3, 4, 2, 3, 4, 1, 1, 1, 3, 0, 0, 0, 4, 3, 3, 1, 4, 1, 1, 2, 2, 4, 3, 2, 0, 1, 2, 2, 4, 1, 1, 2, 2, 4, 1, 2, 3, 3, 2, 1, 2, 3, 4, 1, 2, 2, 1, 1, 4, 1, 4, 3, 4, 0, 0, 0, 4, 3, 0, 4, 1, 3, 0, 2, 0, 1, 4, 1, 4, 4, 0, 1, 4, 4, 4, 4, 2, 2, 3, 0, 3, 0, 3, 3, 0, 2, 4, 4, 3, 1, 0, 2, 4, 1, 4, 1, 0, 1, 0, 3, 3, 4, 4, 2, 1, 0, 1, 0, 0, 3, 1, 0, 2, 1, 3, 0, 4, 0, 2, 0, 1, 4, 4, 4, 0, 4, 1, 3, 3, 1, 4, 2, 1, 4, 2, 3, 1, 4, 1, 2, 4, 4, 0, 0, 4, 0, 4, 1, 2, 4, 3, 4, 1, 3, 0, 1, 2, 1, 3, 4, 0, 0, 1, 4, 1, 0, 3, 1, 0, 3, 0, 3, 3, 4, 1, 2, 3, 3, 0, 4, 3, 1, 4, 0, 2, 2, 2, 2, 2, 3, 4, 3, 0, 3, 0, 3, 3, 1, 1, 2, 4, 4, 0, 4, 1, 1, 2, 2, 1, 0, 1, 3, 3, 3, 0, 1, 1, 0, 3, 0, 3, 4, 4, 0, 1, 3, 3, 0, 4, 2, 2, 0, 1, 3, 3, 1, 4, 1, 1, 4, 4, 1, 2, 1, 2, 2, 0, 4, 3, 2, 1, 4, 3, 0, 1, 0, 4, 0, 1, 2, 4, 4, 3, 0, 0, 0, 3, 1, 3, 2, 3, 1, 2, 0, 4, 0, 1, 0] pubkeycol734 = [2, 0, 4, 1, 2, 3, 4, 2, 0, 3, 4, 1, 4, 3, 0, 2, 4, 3, 2, 3, 1, 2, 1, 4, 3, 0, 2, 2, 4, 3, 4, 1, 3, 1, 4, 1, 2, 3, 2, 2, 2, 0, 1, 0, 3, 0, 1, 1, 1, 1, 0, 3, 2, 4, 3, 2, 4, 0, 1, 1, 4, 4, 2, 2, 3, 1, 1, 2, 2, 4, 3, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 4, 4, 0, 1, 3, 0, 4, 2, 1, 0, 3, 0, 3, 3, 0, 1, 2, 1, 0, 1, 4, 1, 4, 0, 0, 2, 3, 0, 3, 4, 0, 1, 3, 0, 4, 3, 4, 2, 2, 3, 3, 3, 1, 0, 1, 1, 2, 2, 1, 3, 0, 0, 3, 1, 2, 4, 3, 0, 1, 0, 4, 1, 1, 1, 3, 0, 4, 3, 2, 1, 2, 3, 4, 4, 4, 1, 0, 2, 1, 2, 2, 0, 4, 4, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 3, 1, 2, 2, 2, 4, 2, 4, 1, 4, 3, 4, 2, 1, 0, 3, 0, 4, 1, 4, 3, 0, 3, 2, 3, 1, 3, 1, 4, 1, 1, 4, 0, 4, 1, 1, 4, 1, 2, 2, 4, 3, 4, 2, 1, 0, 2, 0, 2, 0, 2, 4, 3, 1, 4, 3, 0, 1, 3, 2, 1, 4, 0, 1, 3, 4, 0, 1, 4, 2, 4, 3, 1, 3, 2, 1, 1, 3, 1, 2, 0, 2, 0, 4, 2, 0, 3, 0, 1, 0, 4, 1, 1, 3, 4, 1, 3, 1, 0, 3, 2, 0, 1, 1, 1, 2, 3, 3, 1, 1, 3, 0, 2, 3, 0, 2, 4, 2, 1, 1, 0, 4, 4, 0, 0, 0, 4, 1, 4, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 0, 2, 4, 4, 1, 4, 0, 1, 4, 1, 4, 2, 0, 0, 0, 3, 4, 3, 4, 3, 0, 1, 4, 4, 2, 1, 2, 0, 3, 3, 4, 2, 0, 0, 3, 2, 3, 3, 4, 4, 2, 2, 3, 2, 0, 1, 0, 2, 4, 3, 0, 4, 3, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 4, 1, 3, 3, 4, 2, 3, 0, 2, 2, 1, 4, 2, 1, 2, 0, 3, 3] pubkeycol735 = [0, 4, 1, 0, 3, 3, 3, 0, 3, 4, 0, 2, 4, 0, 0, 0, 4, 2, 3, 3, 2, 4, 2, 1, 3, 0, 2, 1, 4, 2, 0, 2, 4, 1, 3, 0, 4, 4, 4, 4, 4, 1, 4, 2, 2, 2, 3, 0, 0, 4, 1, 0, 4, 0, 2, 2, 1, 4, 1, 1, 2, 1, 0, 0, 3, 3, 2, 1, 2, 3, 0, 1, 0, 3, 4, 3, 1, 1, 3, 0, 3, 2, 3, 2, 1, 1, 0, 1, 0, 1, 4, 2, 1, 3, 4, 2, 2, 0, 1, 2, 1, 1, 2, 2, 3, 3, 2, 1, 2, 4, 3, 1, 2, 3, 3, 2, 4, 1, 4, 1, 2, 2, 0, 3, 1, 0, 2, 0, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 2, 0, 3, 4, 3, 0, 0, 2, 3, 3, 3, 1, 2, 0, 4, 3, 4, 4, 0, 4, 0, 0, 1, 2, 0, 2, 1, 3, 3, 3, 0, 1, 0, 0, 4, 1, 1, 2, 4, 0, 4, 2, 1, 4, 3, 0, 3, 1, 4, 2, 0, 4, 1, 2, 1, 3, 2, 4, 1, 0, 2, 2, 0, 2, 0, 2, 3, 0, 3, 1, 1, 0, 1, 4, 2, 2, 2, 0, 1, 2, 1, 0, 4, 1, 3, 2, 4, 2, 2, 1, 0, 1, 3, 2, 3, 0, 4, 3, 2, 4, 4, 0, 0, 1, 3, 3, 4, 0, 1, 4, 2, 4, 1, 2, 2, 4, 3, 4, 3, 2, 2, 3, 0, 1, 2, 0, 1, 2, 3, 2, 4, 1, 4, 4, 1, 1, 4, 3, 2, 0, 4, 2, 4, 1, 3, 1, 3, 0, 0, 3, 3, 0, 0, 1, 0, 4, 3, 2, 1, 0, 1, 4, 0, 1, 0, 4, 4, 1, 2, 1, 0, 1, 2, 3, 0, 3, 0, 4, 0, 1, 1, 3, 4, 2, 2, 3, 2, 4, 3, 0, 4, 0, 1, 4, 1, 3, 3, 4, 2, 0, 1, 1, 1, 2, 0, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 4, 2, 4, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 4, 4, 3, 0, 1, 3, 0, 3, 3, 1, 2, 2, 3, 1, 3, 1, 3, 3, 2, 4, 1, 3, 2, 4, 0, 0, 2, 3, 1, 1] pubkeycol736 = [4, 0, 2, 2, 0, 4, 0, 0, 2, 1, 3, 4, 3, 1, 0, 0, 4, 4, 1, 1, 0, 4, 4, 3, 2, 2, 0, 1, 3, 2, 1, 0, 0, 3, 3, 4, 2, 3, 0, 1, 0, 1, 3, 0, 3, 0, 1, 1, 1, 1, 3, 2, 1, 0, 2, 4, 1, 4, 1, 0, 3, 0, 0, 1, 3, 1, 0, 1, 4, 2, 3, 0, 3, 4, 2, 3, 0, 2, 0, 3, 1, 4, 0, 0, 0, 3, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 4, 4, 1, 1, 3, 4, 3, 1, 3, 1, 1, 4, 2, 1, 0, 0, 4, 2, 2, 2, 4, 2, 0, 3, 2, 4, 1, 0, 4, 2, 4, 2, 3, 2, 1, 2, 3, 1, 3, 1, 3, 0, 2, 0, 1, 4, 3, 2, 3, 1, 1, 3, 2, 3, 1, 1, 2, 2, 1, 3, 1, 0, 0, 0, 3, 3, 3, 1, 0, 2, 3, 3, 2, 0, 2, 4, 3, 3, 1, 1, 4, 3, 1, 1, 3, 2, 4, 2, 4, 0, 4, 2, 2, 1, 1, 3, 4, 2, 4, 1, 4, 0, 2, 0, 1, 1, 3, 0, 0, 4, 1, 0, 0, 3, 3, 2, 4, 2, 0, 0, 0, 2, 2, 2, 3, 0, 4, 3, 0, 4, 1, 4, 2, 0, 2, 3, 1, 0, 4, 3, 3, 2, 0, 1, 3, 4, 3, 4, 1, 0, 0, 3, 4, 1, 1, 0, 1, 3, 4, 2, 4, 0, 0, 4, 2, 1, 0, 1, 0, 0, 2, 3, 1, 2, 4, 1, 0, 4, 0, 4, 4, 2, 3, 1, 3, 3, 1, 0, 0, 3, 2, 2, 2, 0, 1, 4, 3, 4, 3, 0, 1, 4, 4, 0, 3, 4, 4, 1, 0, 1, 3, 2, 1, 3, 3, 3, 2, 3, 0, 2, 0, 4, 4, 3, 0, 0, 4, 2, 1, 0, 2, 4, 2, 3, 2, 3, 0, 0, 0, 1, 1, 3, 3, 0, 0, 2, 4, 1, 1, 2, 4, 3, 2, 3, 3, 1, 0, 2, 4, 0, 0, 0, 0, 3, 3, 2, 1, 1, 1, 1, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 3, 0, 3, 4, 2, 3, 4, 0, 3, 2, 1, 0, 4, 3, 4] pubkeycol737 = [3, 1, 4, 0, 0, 0, 0, 4, 0, 2, 4, 3, 3, 1, 1, 2, 3, 4, 1, 4, 1, 4, 4, 1, 0, 3, 4, 3, 4, 1, 1, 0, 3, 1, 2, 2, 0, 0, 4, 3, 0, 2, 4, 1, 0, 4, 3, 0, 2, 2, 1, 4, 0, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 4, 2, 4, 0, 2, 0, 3, 0, 2, 1, 4, 1, 2, 1, 2, 3, 0, 3, 1, 3, 3, 2, 3, 1, 0, 1, 3, 1, 0, 0, 3, 3, 2, 2, 2, 1, 4, 2, 1, 2, 2, 3, 2, 1, 2, 0, 2, 4, 3, 2, 2, 0, 1, 4, 3, 0, 3, 4, 0, 0, 2, 3, 0, 2, 0, 2, 4, 1, 2, 4, 4, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 1, 0, 4, 1, 0, 3, 4, 0, 3, 1, 2, 1, 4, 4, 0, 4, 4, 2, 3, 3, 1, 3, 4, 4, 1, 4, 3, 4, 1, 2, 1, 3, 4, 3, 4, 3, 1, 3, 1, 0, 3, 3, 1, 4, 3, 2, 0, 1, 3, 1, 3, 3, 0, 0, 3, 3, 4, 2, 0, 1, 3, 1, 4, 4, 2, 3, 1, 0, 3, 4, 0, 2, 1, 0, 3, 1, 1, 3, 3, 2, 3, 3, 1, 4, 0, 4, 2, 2, 1, 1, 4, 1, 1, 4, 3, 1, 3, 4, 0, 2, 4, 4, 0, 0, 0, 1, 4, 4, 2, 1, 3, 3, 2, 1, 1, 2, 4, 4, 2, 4, 1, 0, 4, 0, 0, 0, 4, 4, 3, 3, 1, 4, 1, 0, 2, 0, 2, 2, 4, 2, 4, 0, 4, 2, 3, 0, 4, 3, 4, 1, 2, 3, 4, 0, 1, 1, 0, 4, 3, 2, 4, 1, 3, 2, 2, 1, 0, 0, 1, 4, 1, 1, 1, 4, 3, 4, 4, 0, 2, 1, 1, 4, 4, 1, 4, 4, 2, 1, 4, 0, 0, 3, 0, 1, 4, 1, 0, 4, 4, 4, 0, 2, 0, 2, 3, 2, 0, 4, 3, 0, 1, 0, 3, 0, 4, 0, 0, 1, 0, 2, 0, 2, 2, 1, 4, 3, 1, 4, 3, 1, 0, 4, 3, 3, 4, 3, 4, 4, 4, 1, 0, 4, 2, 2, 1, 4, 0, 0, 3, 1, 0, 0] pubkeycol738 = [3, 3, 2, 4, 3, 0, 3, 4, 0, 2, 1, 0, 3, 1, 2, 0, 1, 0, 4, 1, 0, 1, 2, 4, 2, 3, 1, 2, 4, 0, 4, 2, 2, 1, 4, 2, 0, 4, 4, 0, 4, 0, 3, 3, 3, 0, 1, 1, 1, 4, 1, 4, 0, 1, 4, 0, 3, 1, 4, 0, 4, 4, 2, 3, 2, 0, 2, 0, 4, 2, 3, 4, 1, 1, 3, 4, 1, 1, 0, 2, 0, 3, 1, 4, 4, 4, 2, 1, 1, 4, 2, 1, 2, 4, 1, 4, 1, 0, 3, 0, 1, 3, 4, 1, 2, 2, 4, 3, 0, 2, 0, 1, 3, 2, 0, 3, 4, 0, 2, 1, 3, 1, 1, 0, 0, 3, 2, 0, 0, 3, 0, 1, 1, 0, 0, 0, 4, 3, 0, 0, 2, 1, 0, 0, 1, 3, 3, 4, 4, 3, 2, 2, 3, 1, 1, 4, 2, 1, 4, 2, 3, 2, 2, 1, 1, 4, 4, 0, 1, 3, 0, 3, 1, 0, 0, 3, 0, 2, 2, 3, 3, 3, 1, 3, 4, 1, 0, 3, 3, 1, 0, 2, 2, 3, 2, 2, 1, 2, 4, 3, 0, 4, 3, 2, 4, 4, 2, 2, 0, 3, 1, 2, 2, 0, 3, 4, 0, 4, 4, 2, 0, 4, 4, 1, 3, 2, 1, 4, 2, 3, 0, 2, 2, 2, 0, 3, 0, 2, 3, 3, 3, 1, 3, 1, 3, 3, 0, 3, 1, 0, 3, 4, 3, 3, 0, 3, 0, 4, 0, 4, 1, 1, 2, 0, 3, 4, 0, 4, 4, 2, 0, 0, 4, 4, 1, 4, 2, 1, 0, 4, 2, 3, 4, 4, 0, 0, 0, 3, 2, 2, 3, 4, 1, 4, 4, 4, 1, 0, 1, 4, 2, 0, 3, 0, 2, 3, 1, 0, 4, 4, 2, 3, 2, 4, 1, 1, 3, 2, 3, 3, 0, 2, 4, 3, 4, 3, 2, 1, 4, 2, 4, 0, 2, 4, 2, 1, 0, 3, 0, 3, 0, 4, 0, 0, 1, 2, 2, 1, 0, 2, 2, 3, 0, 0, 3, 1, 2, 2, 3, 3, 1, 3, 3, 3, 0, 0, 3, 1, 4, 4, 3, 2, 1, 0, 3, 3, 1, 1, 0, 0, 3, 4, 0, 3, 0, 2, 4, 0, 1, 0, 2, 0, 4, 1, 2, 0, 0, 4, 2, 2] pubkeycol739 = [0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 3, 2, 4, 0, 3, 3, 1, 1, 3, 3, 0, 2, 3, 1, 0, 2, 2, 0, 3, 3, 1, 3, 2, 4, 0, 4, 4, 1, 4, 4, 4, 3, 1, 3, 2, 2, 3, 4, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 3, 3, 4, 1, 0, 0, 3, 2, 1, 0, 0, 4, 1, 1, 3, 2, 2, 4, 1, 4, 3, 0, 3, 0, 3, 2, 1, 4, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 3, 4, 3, 1, 0, 2, 3, 3, 0, 4, 0, 3, 3, 0, 3, 2, 1, 3, 2, 2, 4, 2, 4, 1, 4, 2, 4, 4, 0, 1, 0, 4, 4, 0, 0, 4, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 4, 0, 1, 3, 3, 3, 0, 2, 3, 0, 4, 3, 2, 3, 3, 4, 4, 2, 4, 2, 2, 2, 4, 1, 3, 0, 2, 3, 4, 1, 4, 1, 3, 1, 1, 1, 1, 3, 3, 4, 3, 3, 3, 0, 4, 1, 1, 4, 4, 0, 1, 2, 1, 0, 3, 1, 1, 0, 1, 4, 2, 4, 3, 0, 3, 3, 1, 3, 0, 1, 4, 1, 2, 2, 1, 3, 1, 3, 4, 1, 0, 4, 3, 4, 3, 1, 4, 1, 2, 4, 2, 4, 0, 4, 2, 0, 4, 3, 2, 4, 4, 2, 1, 1, 1, 3, 3, 0, 1, 4, 1, 0, 3, 4, 4, 1, 3, 1, 2, 2, 3, 0, 0, 3, 4, 1, 2, 3, 3, 3, 1, 3, 0, 2, 4, 3, 4, 3, 3, 2, 2, 3, 2, 3, 3, 0, 4, 4, 4, 0, 2, 3, 0, 2, 0, 4, 4, 2, 2, 1, 0, 1, 1, 3, 3, 1, 1, 1, 0, 3, 2, 4, 1, 1, 4, 0, 0, 2, 3, 4, 1, 2, 2, 0, 3, 2, 2, 3, 2, 2, 1, 4, 1, 4, 2, 3, 2, 4, 2, 3, 4, 1, 1, 3, 0, 4, 0, 0, 1, 2, 4, 1, 4, 4, 1, 4, 4, 0, 0, 4, 4, 4, 3, 3, 3, 2, 2, 3, 4, 3, 0, 0, 1, 3, 4, 1, 1, 2, 2, 0, 2, 1, 1, 0, 3, 2, 0, 1, 2, 2, 4, 3, 4, 1, 1, 2, 2] pubkeycol740 = [0, 2, 0, 2, 4, 4, 1, 1, 4, 2, 0, 3, 2, 0, 2, 1, 0, 1, 3, 4, 4, 0, 2, 4, 1, 0, 0, 1, 2, 1, 1, 0, 2, 4, 3, 0, 1, 4, 3, 0, 1, 1, 3, 1, 2, 3, 4, 2, 3, 4, 2, 0, 3, 3, 3, 3, 3, 4, 0, 0, 3, 4, 1, 0, 3, 0, 1, 1, 3, 3, 1, 1, 1, 4, 3, 3, 3, 2, 2, 1, 1, 0, 0, 2, 1, 1, 4, 4, 0, 3, 4, 2, 4, 0, 1, 2, 1, 1, 4, 1, 4, 4, 1, 1, 4, 4, 3, 1, 0, 0, 1, 1, 4, 1, 3, 3, 0, 2, 2, 4, 0, 2, 4, 4, 1, 1, 3, 1, 4, 2, 4, 3, 4, 4, 4, 4, 3, 2, 3, 3, 0, 4, 0, 3, 2, 3, 4, 3, 4, 2, 4, 2, 3, 2, 2, 1, 0, 0, 2, 4, 4, 2, 1, 4, 3, 2, 2, 2, 4, 0, 4, 4, 3, 0, 2, 3, 0, 2, 3, 2, 0, 0, 4, 2, 3, 1, 1, 0, 1, 4, 3, 0, 4, 2, 0, 1, 1, 3, 0, 3, 4, 1, 2, 4, 0, 2, 4, 1, 2, 2, 3, 4, 0, 0, 1, 3, 0, 4, 1, 0, 3, 0, 1, 3, 1, 2, 4, 0, 0, 2, 0, 0, 4, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 3, 4, 4, 4, 2, 2, 2, 4, 3, 3, 0, 3, 4, 3, 2, 1, 2, 1, 2, 2, 4, 0, 3, 4, 2, 1, 0, 2, 3, 2, 2, 2, 0, 0, 4, 4, 3, 2, 0, 3, 3, 2, 3, 4, 3, 2, 0, 3, 0, 0, 1, 3, 4, 1, 1, 4, 2, 3, 3, 0, 3, 3, 1, 4, 1, 0, 2, 1, 3, 0, 3, 0, 4, 4, 1, 0, 0, 0, 1, 2, 0, 3, 1, 0, 3, 0, 3, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 3, 2, 2, 0, 0, 4, 0, 2, 4, 3, 1, 2, 3, 3, 4, 0, 4, 0, 1, 3, 1, 3, 1, 0, 0, 4, 3, 4, 2, 3, 2, 0, 1, 1, 1, 0, 3, 1, 0, 2, 1, 2, 2, 2, 2, 2, 4, 1, 1, 2, 4, 4, 0, 1, 4, 0, 1, 4, 4, 0] pubkeycol741 = [4, 2, 0, 1, 0, 2, 0, 1, 3, 2, 1, 3, 2, 3, 2, 4, 3, 4, 3, 3, 4, 0, 1, 0, 2, 3, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 4, 4, 0, 2, 1, 4, 3, 0, 4, 1, 3, 2, 4, 1, 1, 3, 4, 2, 3, 4, 2, 2, 0, 3, 1, 0, 3, 4, 3, 1, 3, 2, 3, 3, 2, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 3, 2, 0, 4, 3, 4, 0, 0, 1, 2, 1, 3, 3, 3, 0, 2, 4, 1, 1, 1, 4, 1, 2, 3, 4, 4, 3, 3, 4, 4, 4, 2, 2, 4, 2, 0, 0, 1, 0, 1, 3, 3, 3, 2, 3, 0, 1, 0, 3, 4, 0, 2, 3, 3, 4, 4, 3, 3, 3, 4, 1, 0, 2, 2, 1, 2, 2, 4, 1, 4, 1, 4, 2, 2, 2, 1, 0, 4, 4, 4, 4, 0, 2, 4, 3, 2, 4, 2, 0, 1, 1, 1, 4, 0, 2, 0, 1, 0, 0, 2, 4, 4, 4, 3, 0, 0, 2, 0, 2, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 1, 1, 1, 4, 0, 4, 4, 2, 4, 1, 4, 2, 4, 2, 3, 4, 2, 0, 3, 4, 4, 1, 4, 2, 4, 4, 0, 1, 4, 2, 3, 3, 0, 4, 4, 1, 4, 4, 3, 0, 2, 2, 4, 4, 2, 2, 3, 4, 3, 4, 3, 3, 3, 1, 0, 3, 0, 3, 3, 3, 0, 0, 4, 4, 0, 4, 2, 4, 1, 0, 2, 1, 4, 0, 1, 0, 1, 4, 3, 2, 2, 1, 0, 2, 3, 1, 3, 4, 1, 3, 4, 0, 0, 1, 1, 3, 4, 0, 1, 3, 0, 1, 1, 0, 4, 3, 0, 0, 0, 3, 0, 0, 1, 4, 0, 1, 2, 3, 0, 0, 4, 1, 1, 0, 0, 1, 3, 1, 3, 1, 4, 0, 2, 4, 4, 0, 3, 2, 1, 2, 1, 1, 1, 4, 2, 2, 1, 0, 2, 0, 0, 4, 1, 2, 0, 4, 2, 2, 0, 0, 3, 4, 0, 1, 1, 3, 2, 2, 1, 2, 3, 1, 1, 0, 2, 2, 0, 3, 0, 1, 0, 2, 3, 1, 2, 0, 3, 3, 0, 3, 2, 1, 4, 2, 4, 4, 0, 1] pubkeycol742 = [3, 1, 1, 4, 4, 2, 0, 2, 3, 2, 1, 0, 4, 0, 3, 2, 0, 0, 4, 2, 4, 1, 4, 2, 0, 1, 4, 1, 3, 3, 4, 3, 2, 3, 0, 2, 3, 1, 3, 1, 4, 1, 3, 2, 3, 3, 1, 3, 0, 2, 1, 1, 2, 4, 3, 1, 3, 4, 3, 3, 3, 0, 1, 3, 1, 4, 3, 1, 1, 1, 2, 1, 0, 3, 4, 3, 2, 3, 3, 2, 1, 4, 4, 1, 3, 2, 0, 1, 2, 2, 0, 1, 3, 4, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 2, 4, 0, 3, 0, 0, 0, 3, 1, 3, 4, 3, 4, 3, 4, 0, 0, 3, 1, 4, 4, 4, 1, 1, 0, 4, 3, 4, 0, 3, 4, 4, 1, 2, 1, 0, 3, 4, 4, 2, 3, 0, 1, 0, 2, 3, 2, 1, 0, 1, 0, 0, 0, 4, 3, 0, 0, 3, 0, 2, 3, 2, 1, 0, 2, 2, 4, 0, 1, 3, 1, 3, 4, 3, 4, 1, 1, 2, 0, 0, 1, 1, 4, 2, 2, 4, 2, 2, 2, 4, 1, 0, 4, 0, 2, 1, 3, 3, 3, 4, 0, 4, 0, 4, 1, 2, 0, 4, 3, 4, 2, 1, 3, 1, 2, 0, 1, 4, 3, 2, 0, 2, 2, 4, 0, 4, 1, 3, 2, 0, 0, 1, 1, 4, 4, 1, 2, 0, 0, 3, 1, 0, 2, 1, 3, 2, 0, 4, 2, 2, 0, 0, 3, 2, 4, 4, 2, 1, 2, 2, 4, 3, 1, 1, 3, 2, 0, 3, 3, 2, 1, 3, 1, 3, 0, 3, 0, 2, 3, 1, 0, 2, 3, 0, 2, 1, 4, 3, 4, 1, 4, 0, 1, 1, 3, 0, 1, 1, 4, 4, 0, 1, 3, 4, 3, 1, 0, 4, 2, 2, 0, 4, 0, 4, 2, 0, 0, 1, 0, 3, 1, 3, 0, 0, 4, 3, 1, 1, 2, 4, 4, 3, 4, 2, 2, 3, 0, 1, 1, 3, 0, 4, 4, 3, 4, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 0, 1, 1, 0, 4, 0, 1, 1, 4, 1, 3, 4, 0, 0, 1, 1, 0, 0, 1, 0, 2, 4, 0, 1, 0, 4, 0, 0, 1, 2, 0, 3, 2, 1, 3, 0] pubkeycol743 = [3, 1, 4, 0, 1, 2, 3, 4, 0, 4, 1, 4, 2, 4, 3, 4, 4, 0, 4, 4, 3, 4, 3, 0, 1, 1, 2, 4, 4, 4, 1, 2, 1, 4, 2, 3, 2, 0, 2, 4, 4, 3, 0, 2, 0, 0, 4, 0, 2, 3, 3, 0, 0, 1, 1, 0, 1, 1, 0, 2, 3, 4, 1, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 3, 0, 4, 4, 2, 3, 3, 4, 1, 3, 2, 2, 4, 3, 4, 4, 2, 0, 1, 2, 0, 4, 1, 0, 1, 4, 4, 2, 1, 2, 1, 3, 4, 2, 4, 4, 0, 1, 2, 3, 1, 3, 0, 4, 1, 3, 4, 3, 4, 3, 1, 1, 3, 4, 4, 2, 0, 1, 1, 4, 0, 0, 4, 4, 0, 4, 4, 3, 0, 2, 2, 3, 2, 3, 3, 1, 3, 4, 1, 0, 3, 3, 1, 2, 1, 4, 0, 2, 2, 1, 2, 1, 0, 4, 2, 0, 0, 1, 1, 0, 4, 4, 2, 3, 1, 1, 0, 4, 3, 4, 1, 3, 3, 3, 4, 3, 2, 1, 0, 2, 1, 4, 4, 1, 4, 2, 2, 2, 1, 4, 3, 4, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 3, 4, 4, 4, 3, 3, 0, 1, 1, 0, 3, 3, 1, 0, 3, 4, 0, 1, 1, 4, 0, 0, 3, 4, 0, 0, 2, 1, 0, 3, 3, 1, 4, 1, 4, 0, 4, 4, 1, 0, 0, 0, 0, 3, 2, 4, 0, 4, 4, 2, 4, 0, 2, 4, 1, 4, 4, 3, 4, 0, 1, 4, 0, 1, 4, 3, 2, 3, 0, 0, 4, 3, 2, 1, 2, 4, 4, 2, 1, 2, 1, 4, 4, 3, 4, 0, 3, 4, 4, 3, 4, 4, 0, 2, 3, 0, 4, 1, 0, 4, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 3, 0, 1, 0, 3, 2, 3, 0, 3, 2, 1, 2, 0, 3, 4, 1, 4, 1, 4, 0, 0, 0, 3, 4, 4, 3, 0, 4, 0, 4, 0, 2, 0, 3, 2, 3, 0, 2, 0, 2, 3, 1, 4, 2, 2, 4, 2, 4, 3, 4, 0, 0, 4, 1, 2, 0, 3, 0, 1, 3, 3, 2, 4, 3, 2, 4, 1, 3, 4, 0, 1, 1, 0] pubkeycol744 = [1, 3, 3, 2, 2, 0, 3, 4, 1, 1, 2, 4, 0, 4, 3, 0, 1, 0, 4, 1, 2, 3, 2, 2, 4, 3, 3, 0, 1, 4, 4, 3, 0, 4, 2, 4, 1, 2, 3, 2, 0, 2, 3, 0, 0, 1, 2, 1, 1, 3, 2, 1, 3, 1, 0, 3, 4, 4, 4, 1, 4, 0, 1, 2, 0, 4, 2, 4, 4, 2, 3, 3, 4, 4, 2, 4, 1, 0, 0, 3, 1, 4, 0, 2, 1, 0, 4, 4, 0, 4, 0, 4, 0, 0, 2, 0, 1, 2, 4, 1, 4, 3, 4, 2, 4, 2, 0, 4, 4, 3, 3, 1, 0, 0, 3, 4, 1, 2, 2, 3, 1, 2, 4, 4, 4, 2, 3, 2, 0, 2, 3, 2, 3, 2, 3, 4, 0, 4, 0, 3, 2, 2, 3, 1, 4, 3, 3, 3, 3, 1, 2, 3, 3, 3, 2, 0, 1, 4, 4, 0, 3, 2, 1, 2, 3, 3, 3, 2, 2, 0, 1, 0, 0, 0, 4, 4, 1, 0, 1, 0, 2, 1, 3, 3, 2, 0, 4, 4, 4, 3, 4, 4, 0, 1, 3, 4, 4, 4, 0, 0, 3, 3, 2, 2, 0, 2, 4, 1, 4, 2, 3, 0, 2, 2, 3, 3, 0, 1, 0, 2, 4, 2, 1, 3, 1, 4, 1, 1, 3, 3, 1, 0, 3, 0, 2, 2, 1, 4, 4, 1, 0, 3, 2, 3, 1, 2, 2, 1, 0, 2, 3, 1, 4, 0, 1, 2, 0, 2, 4, 2, 1, 4, 1, 3, 2, 4, 4, 4, 0, 3, 2, 1, 4, 1, 3, 4, 1, 3, 0, 1, 0, 0, 2, 0, 2, 4, 3, 4, 2, 4, 2, 1, 0, 3, 3, 3, 1, 4, 2, 2, 2, 0, 0, 4, 4, 4, 2, 0, 2, 1, 4, 2, 4, 4, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 3, 2, 2, 1, 3, 2, 0, 4, 0, 3, 3, 4, 1, 0, 1, 4, 0, 4, 3, 2, 2, 3, 4, 1, 1, 2, 4, 4, 4, 1, 3, 3, 4, 4, 4, 0, 3, 4, 1, 3, 0, 3, 4, 2, 0, 3, 3, 4, 0, 2, 2, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 3, 1, 4, 1, 1, 2, 0, 1, 1, 3, 4, 3, 4, 4] pubkeycol745 = [1, 1, 4, 3, 0, 2, 2, 2, 4, 1, 3, 1, 1, 2, 2, 1, 4, 3, 3, 1, 0, 1, 4, 3, 2, 4, 2, 4, 2, 2, 4, 4, 1, 3, 0, 4, 2, 4, 0, 4, 3, 2, 0, 4, 4, 2, 1, 1, 3, 1, 1, 2, 3, 1, 4, 4, 4, 0, 2, 2, 1, 4, 0, 3, 2, 4, 4, 3, 3, 1, 2, 0, 2, 4, 1, 1, 0, 4, 4, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 3, 1, 1, 0, 0, 3, 4, 3, 3, 3, 0, 1, 1, 1, 3, 0, 3, 0, 2, 2, 2, 1, 4, 3, 1, 0, 1, 4, 4, 2, 4, 2, 1, 3, 1, 3, 4, 2, 0, 1, 2, 4, 1, 4, 0, 0, 2, 4, 2, 3, 1, 1, 1, 4, 1, 2, 1, 2, 4, 3, 2, 2, 3, 4, 2, 3, 2, 2, 0, 3, 3, 3, 3, 4, 1, 2, 0, 2, 3, 1, 4, 4, 0, 4, 1, 1, 0, 3, 0, 4, 2, 1, 1, 0, 0, 3, 2, 0, 4, 1, 2, 3, 3, 4, 4, 4, 1, 1, 3, 1, 2, 4, 4, 4, 0, 1, 1, 0, 0, 0, 3, 0, 4, 4, 0, 0, 4, 2, 1, 1, 3, 4, 2, 2, 0, 4, 4, 4, 2, 1, 3, 4, 2, 4, 3, 0, 1, 0, 1, 0, 0, 1, 4, 4, 1, 1, 3, 0, 4, 2, 0, 4, 1, 3, 2, 3, 3, 2, 4, 4, 3, 4, 1, 1, 1, 2, 3, 1, 3, 4, 2, 1, 2, 4, 1, 3, 1, 2, 0, 2, 4, 2, 2, 2, 2, 0, 1, 0, 3, 1, 2, 3, 2, 0, 4, 2, 3, 1, 1, 1, 0, 1, 1, 1, 1, 4, 1, 2, 1, 3, 3, 2, 4, 3, 2, 4, 2, 2, 1, 0, 4, 3, 4, 2, 1, 1, 3, 1, 0, 0, 2, 1, 1, 3, 1, 0, 1, 1, 3, 2, 0, 0, 3, 2, 1, 1, 4, 0, 4, 3, 4, 4, 3, 1, 4, 1, 2, 3, 4, 1, 4, 0, 2, 1, 0, 4, 2, 2, 4, 0, 1, 1, 4, 2, 4, 0, 2, 3, 4, 2, 0, 1, 2, 4, 1, 2, 1, 3, 2, 4, 1, 0, 3, 0, 0, 4, 0, 4, 0] pubkeycol746 = [1, 4, 4, 1, 3, 4, 0, 3, 3, 1, 4, 0, 0, 1, 1, 0, 3, 2, 3, 1, 3, 4, 1, 0, 2, 1, 1, 0, 4, 2, 3, 4, 2, 0, 1, 4, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 3, 0, 0, 4, 0, 2, 1, 3, 3, 3, 0, 1, 3, 4, 0, 4, 0, 1, 0, 4, 3, 1, 2, 1, 2, 2, 2, 4, 4, 1, 2, 2, 4, 1, 4, 4, 4, 1, 0, 4, 4, 1, 4, 3, 0, 0, 0, 3, 1, 0, 2, 0, 3, 1, 2, 0, 0, 1, 2, 4, 2, 1, 4, 4, 4, 2, 1, 3, 0, 2, 3, 1, 4, 0, 4, 0, 3, 0, 1, 4, 0, 0, 2, 1, 0, 4, 1, 0, 4, 3, 4, 4, 0, 3, 1, 3, 3, 3, 0, 3, 0, 2, 0, 4, 1, 0, 2, 4, 2, 0, 0, 0, 2, 2, 4, 2, 3, 4, 2, 3, 0, 2, 2, 4, 1, 3, 0, 3, 4, 1, 0, 3, 0, 4, 0, 2, 4, 1, 0, 2, 3, 1, 1, 3, 1, 4, 2, 0, 2, 3, 4, 1, 2, 2, 1, 2, 0, 2, 4, 4, 0, 2, 0, 0, 1, 1, 0, 2, 1, 3, 2, 0, 4, 1, 0, 0, 4, 4, 0, 4, 3, 3, 1, 0, 3, 2, 0, 1, 1, 4, 3, 1, 3, 2, 3, 3, 0, 4, 4, 4, 1, 4, 4, 3, 0, 3, 0, 1, 3, 1, 4, 3, 2, 1, 3, 1, 0, 3, 2, 4, 2, 2, 3, 3, 3, 2, 0, 4, 0, 0, 4, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 4, 2, 2, 3, 0, 4, 3, 2, 0, 2, 2, 1, 2, 2, 2, 3, 1, 1, 1, 0, 4, 0, 3, 0, 2, 1, 4, 3, 2, 2, 0, 0, 3, 0, 1, 2, 3, 1, 4, 3, 2, 0, 0, 0, 1, 3, 3, 4, 0, 3, 3, 3, 1, 0, 2, 2, 3, 4, 0, 0, 3, 2, 0, 2, 2, 3, 0, 1, 2, 0, 1, 3, 2, 1, 3, 4, 1, 1, 3, 4, 2, 1, 1, 2, 3, 1, 4, 4, 4, 1, 0, 3, 4, 2, 3, 4, 3, 3, 1, 3, 4, 2, 3, 2, 4, 4, 4, 0, 1, 1, 4, 3] pubkeycol747 = [3, 4, 0, 0, 0, 4, 3, 1, 1, 4, 3, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 3, 3, 0, 1, 1, 2, 1, 2, 1, 1, 4, 3, 4, 4, 3, 3, 4, 2, 1, 0, 3, 4, 4, 2, 4, 0, 4, 2, 3, 2, 4, 0, 1, 0, 4, 2, 2, 3, 3, 0, 4, 2, 0, 2, 0, 4, 2, 2, 4, 0, 4, 4, 1, 3, 3, 3, 4, 3, 4, 3, 1, 1, 2, 3, 4, 3, 4, 1, 1, 2, 1, 4, 1, 0, 2, 1, 4, 1, 2, 3, 2, 4, 4, 0, 4, 3, 1, 3, 3, 1, 3, 3, 4, 4, 0, 3, 2, 2, 1, 4, 0, 3, 3, 1, 2, 4, 3, 0, 3, 1, 2, 0, 3, 2, 2, 3, 2, 0, 3, 2, 0, 2, 4, 1, 4, 0, 2, 0, 3, 1, 0, 2, 3, 2, 4, 4, 4, 1, 0, 3, 2, 4, 2, 1, 4, 1, 4, 1, 2, 2, 3, 0, 0, 0, 4, 2, 4, 3, 2, 2, 1, 3, 1, 0, 2, 1, 3, 1, 2, 3, 1, 2, 0, 3, 2, 2, 3, 2, 0, 0, 3, 4, 3, 0, 3, 3, 3, 0, 0, 2, 3, 3, 3, 2, 3, 2, 1, 3, 2, 3, 3, 2, 0, 2, 2, 3, 4, 3, 2, 2, 4, 4, 3, 0, 4, 0, 0, 4, 0, 0, 0, 1, 4, 3, 3, 2, 2, 3, 4, 0, 3, 2, 0, 0, 3, 2, 2, 3, 1, 3, 4, 1, 4, 1, 1, 3, 3, 4, 2, 0, 1, 0, 1, 1, 1, 2, 4, 1, 3, 3, 1, 1, 0, 3, 0, 3, 1, 4, 0, 4, 4, 2, 3, 2, 2, 4, 3, 0, 3, 4, 2, 4, 1, 3, 4, 0, 0, 4, 2, 3, 1, 3, 1, 2, 0, 2, 4, 4, 3, 3, 3, 4, 4, 3, 2, 3, 4, 4, 4, 0, 2, 2, 3, 1, 4, 1, 4, 4, 2, 2, 4, 2, 3, 1, 3, 1, 0, 1, 0, 2, 4, 1, 2, 3, 3, 0, 1, 1, 4, 4, 1, 0, 4, 3, 1, 0, 3, 4, 0, 3, 4, 2, 3, 0, 2, 2, 0, 0, 4, 1, 4, 0, 0, 2, 2, 1, 3, 1, 4, 1, 1, 3, 0, 4, 3, 0, 0, 1, 0] pubkeycol748 = [4, 3, 2, 0, 2, 3, 0, 3, 0, 0, 3, 4, 0, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 4, 0, 0, 1, 3, 4, 1, 3, 4, 3, 2, 4, 2, 0, 4, 1, 4, 4, 1, 0, 0, 4, 0, 1, 2, 4, 2, 4, 0, 3, 3, 1, 4, 4, 1, 2, 4, 0, 0, 4, 3, 3, 2, 4, 2, 2, 4, 1, 1, 4, 3, 2, 3, 2, 1, 0, 3, 4, 1, 3, 3, 2, 4, 3, 2, 4, 4, 0, 1, 2, 4, 2, 3, 2, 2, 3, 3, 4, 1, 2, 4, 2, 0, 0, 3, 2, 2, 1, 0, 2, 3, 3, 3, 3, 1, 4, 0, 4, 3, 2, 1, 1, 1, 2, 3, 1, 3, 1, 3, 3, 3, 4, 1, 1, 1, 2, 1, 4, 4, 4, 0, 0, 1, 2, 4, 1, 0, 4, 0, 1, 0, 3, 3, 1, 1, 0, 1, 2, 4, 4, 4, 4, 4, 1, 4, 2, 3, 0, 1, 4, 0, 4, 1, 1, 1, 2, 3, 4, 2, 0, 0, 0, 2, 2, 2, 4, 2, 2, 2, 0, 3, 3, 0, 4, 0, 3, 1, 1, 1, 3, 1, 2, 3, 3, 2, 4, 4, 0, 2, 0, 2, 1, 1, 3, 0, 4, 2, 0, 0, 3, 3, 2, 0, 1, 3, 2, 1, 2, 2, 2, 1, 0, 3, 3, 3, 0, 3, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 3, 2, 0, 3, 0, 4, 2, 1, 4, 4, 0, 2, 2, 0, 1, 3, 3, 2, 4, 2, 2, 4, 2, 0, 4, 3, 0, 4, 1, 3, 1, 3, 4, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 2, 0, 4, 2, 0, 2, 2, 0, 4, 2, 1, 2, 1, 4, 1, 0, 0, 3, 1, 3, 0, 3, 2, 4, 1, 2, 0, 2, 1, 3, 4, 4, 0, 4, 2, 3, 3, 4, 0, 3, 0, 4, 0, 4, 1, 1, 4, 2, 0, 1, 2, 1, 1, 3, 0, 2, 4, 2, 1, 1, 3, 3, 4, 3, 4, 0, 3, 4, 0, 4, 1, 0, 1, 0, 3, 4, 2, 3, 3, 3, 3, 0, 1, 4, 2, 4, 0, 2, 1, 2, 1, 1] pubkeycol749 = [0, 3, 0, 3, 1, 3, 1, 3, 0, 4, 0, 1, 0, 1, 3, 3, 4, 1, 4, 3, 3, 3, 4, 0, 1, 0, 1, 0, 4, 0, 4, 4, 3, 3, 1, 2, 4, 0, 4, 4, 4, 3, 1, 3, 0, 3, 0, 1, 1, 4, 0, 4, 1, 3, 1, 0, 0, 3, 1, 1, 1, 0, 2, 3, 4, 0, 4, 3, 2, 4, 1, 3, 1, 3, 0, 0, 3, 2, 0, 2, 3, 3, 4, 3, 3, 3, 0, 3, 1, 0, 2, 4, 0, 4, 2, 3, 2, 0, 2, 2, 3, 3, 1, 1, 2, 4, 3, 4, 3, 1, 4, 0, 0, 0, 0, 4, 0, 1, 1, 3, 2, 4, 1, 3, 2, 2, 4, 4, 3, 3, 2, 1, 2, 3, 4, 4, 0, 1, 0, 3, 4, 3, 4, 1, 0, 2, 0, 2, 3, 1, 0, 0, 1, 2, 2, 3, 0, 3, 2, 3, 4, 0, 2, 3, 0, 4, 3, 1, 2, 3, 3, 2, 4, 1, 2, 2, 3, 3, 1, 0, 2, 3, 0, 4, 1, 4, 3, 3, 1, 4, 3, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 3, 4, 2, 2, 1, 3, 0, 4, 2, 0, 3, 4, 3, 4, 2, 4, 0, 4, 2, 2, 1, 1, 3, 1, 1, 1, 0, 0, 0, 2, 4, 0, 4, 2, 2, 1, 2, 4, 4, 3, 0, 2, 2, 2, 4, 4, 4, 0, 2, 1, 0, 4, 2, 1, 0, 3, 0, 2, 0, 2, 1, 2, 1, 3, 2, 1, 0, 2, 4, 3, 4, 2, 3, 3, 3, 3, 4, 3, 3, 0, 2, 3, 0, 0, 3, 0, 0, 2, 1, 3, 4, 0, 4, 4, 3, 2, 3, 4, 0, 2, 0, 4, 4, 0, 3, 1, 3, 0, 3, 3, 2, 1, 0, 2, 4, 0, 1, 2, 4, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 3, 1, 1, 0, 3, 4, 1, 2, 3, 3, 1, 0, 0, 3, 2, 4, 3, 1, 1, 2, 0, 2, 2, 0, 3, 4, 1, 1, 3, 3, 1, 0, 2, 0, 0, 4, 0, 1, 0, 4, 0, 0, 2, 0, 2, 3, 4, 2, 3, 2, 2, 0, 0, 2, 3, 3, 1, 0, 1, 1, 3, 4, 4, 1, 4, 2, 2, 1, 4] pubkeycol750 = [0, 3, 0, 2, 1, 4, 1, 2, 2, 2, 1, 0, 3, 0, 3, 4, 4, 3, 4, 2, 2, 0, 0, 4, 1, 1, 4, 3, 2, 0, 2, 4, 4, 2, 1, 4, 2, 1, 4, 1, 3, 3, 4, 1, 3, 2, 3, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 4, 1, 3, 3, 0, 3, 3, 2, 4, 4, 0, 1, 1, 0, 2, 0, 2, 2, 1, 4, 4, 2, 0, 0, 4, 1, 1, 4, 2, 0, 3, 1, 4, 2, 2, 0, 4, 2, 4, 4, 2, 3, 2, 4, 3, 0, 0, 2, 1, 1, 3, 4, 0, 4, 4, 2, 1, 1, 3, 1, 1, 2, 3, 0, 3, 3, 2, 1, 4, 4, 2, 3, 0, 0, 4, 3, 0, 0, 2, 3, 2, 0, 4, 4, 0, 2, 4, 3, 3, 0, 0, 4, 0, 2, 4, 3, 3, 3, 1, 1, 0, 3, 4, 0, 1, 2, 0, 1, 3, 1, 4, 0, 3, 3, 2, 0, 0, 2, 1, 2, 3, 3, 3, 4, 2, 4, 3, 1, 1, 2, 1, 2, 2, 1, 0, 3, 3, 2, 2, 0, 2, 4, 1, 4, 3, 0, 4, 1, 4, 3, 2, 0, 1, 1, 3, 1, 1, 4, 1, 1, 4, 2, 0, 4, 2, 0, 4, 3, 1, 0, 3, 4, 0, 3, 0, 0, 4, 4, 0, 0, 0, 3, 0, 1, 1, 0, 4, 2, 2, 0, 1, 4, 4, 2, 1, 2, 3, 2, 3, 3, 0, 0, 1, 3, 1, 0, 4, 1, 3, 1, 3, 4, 2, 0, 0, 0, 4, 3, 0, 2, 0, 4, 1, 0, 4, 0, 0, 3, 1, 0, 3, 3, 2, 2, 1, 1, 4, 2, 4, 4, 4, 1, 3, 4, 2, 1, 4, 0, 4, 4, 1, 3, 0, 3, 1, 2, 3, 0, 2, 3, 4, 2, 3, 3, 1, 1, 2, 0, 4, 2, 0, 3, 1, 4, 1, 2, 2, 0, 4, 0, 1, 2, 0, 1, 1, 4, 4, 2, 0, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 4, 0, 1, 0, 3, 4, 4, 1, 3, 4, 2, 0, 2, 3, 4, 0, 2, 3, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 4, 1, 3, 4, 1, 3, 2, 3, 4, 3, 0, 4, 0, 3, 3, 0] pubkeycol751 = [0, 4, 2, 1, 1, 2, 0, 1, 1, 2, 1, 4, 1, 0, 3, 0, 3, 4, 2, 0, 2, 1, 2, 3, 0, 4, 1, 1, 2, 4, 1, 2, 3, 1, 4, 4, 3, 0, 4, 2, 0, 0, 0, 2, 4, 4, 3, 1, 2, 0, 2, 0, 2, 1, 4, 3, 0, 0, 4, 3, 1, 0, 1, 2, 2, 4, 0, 1, 2, 1, 3, 3, 3, 4, 2, 0, 2, 1, 2, 4, 1, 0, 4, 3, 4, 4, 4, 3, 1, 0, 3, 1, 1, 2, 1, 4, 1, 3, 0, 4, 3, 1, 1, 2, 1, 1, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 1, 1, 2, 0, 4, 0, 2, 2, 4, 3, 1, 1, 2, 1, 0, 0, 1, 1, 3, 4, 0, 1, 1, 4, 2, 1, 2, 4, 0, 2, 1, 3, 1, 4, 3, 4, 3, 2, 3, 0, 4, 1, 0, 1, 1, 0, 2, 2, 3, 4, 0, 4, 1, 0, 0, 3, 0, 1, 0, 3, 3, 4, 1, 4, 1, 4, 0, 4, 3, 1, 2, 4, 1, 3, 2, 4, 1, 1, 0, 4, 3, 3, 4, 1, 3, 2, 4, 0, 2, 4, 1, 4, 2, 4, 4, 1, 1, 4, 0, 4, 2, 4, 1, 0, 3, 0, 1, 4, 4, 2, 3, 2, 4, 2, 0, 0, 4, 4, 0, 1, 2, 4, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 0, 1, 1, 0, 1, 2, 3, 3, 1, 4, 0, 4, 3, 2, 1, 4, 0, 2, 0, 4, 3, 1, 0, 0, 3, 2, 4, 4, 4, 0, 2, 0, 4, 1, 4, 0, 0, 2, 3, 4, 0, 1, 1, 2, 0, 4, 1, 0, 4, 1, 3, 2, 4, 2, 4, 3, 0, 1, 3, 0, 3, 2, 4, 3, 3, 2, 0, 1, 4, 1, 2, 3, 3, 4, 2, 3, 0, 1, 2, 1, 0, 3, 0, 4, 3, 2, 3, 3, 0, 4, 3, 2, 2, 1, 1, 3, 2, 3, 0, 1, 2, 2, 3, 2, 1, 1, 3, 3, 0, 4, 1, 0, 2, 4, 3, 1, 3, 0, 1, 4, 3, 2, 1, 2, 4, 2, 4, 0, 4, 3, 0, 2, 4, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 2, 4, 0, 3, 3, 3, 3, 2, 2] pubkeycol752 = [1, 0, 1, 4, 1, 1, 0, 2, 4, 0, 0, 3, 4, 2, 3, 2, 0, 3, 3, 3, 4, 0, 4, 1, 2, 3, 0, 0, 2, 2, 4, 4, 2, 3, 4, 1, 1, 4, 1, 2, 4, 4, 1, 2, 3, 3, 1, 3, 4, 3, 0, 2, 4, 4, 0, 4, 4, 2, 0, 0, 0, 4, 2, 0, 1, 0, 0, 1, 0, 3, 2, 1, 4, 4, 4, 4, 4, 0, 4, 0, 4, 1, 4, 1, 1, 3, 4, 2, 4, 2, 0, 4, 2, 2, 2, 1, 1, 1, 4, 3, 3, 0, 2, 3, 4, 4, 0, 1, 3, 2, 1, 1, 2, 4, 4, 1, 0, 3, 4, 1, 1, 0, 0, 2, 3, 0, 4, 3, 2, 4, 2, 1, 2, 0, 2, 0, 2, 4, 4, 4, 2, 3, 2, 3, 3, 0, 0, 3, 0, 4, 1, 2, 0, 3, 1, 0, 3, 3, 2, 0, 3, 2, 0, 0, 1, 4, 2, 3, 2, 0, 2, 4, 1, 4, 4, 3, 4, 0, 4, 0, 4, 0, 3, 4, 0, 1, 2, 4, 4, 2, 4, 2, 4, 4, 4, 0, 0, 2, 0, 3, 1, 2, 3, 3, 4, 3, 1, 1, 1, 3, 0, 2, 1, 3, 2, 2, 1, 2, 0, 3, 1, 3, 4, 1, 3, 0, 0, 1, 0, 1, 3, 1, 2, 0, 1, 0, 4, 2, 3, 4, 3, 3, 3, 0, 1, 2, 2, 0, 3, 4, 0, 2, 2, 1, 0, 2, 4, 4, 1, 1, 4, 0, 1, 4, 2, 2, 1, 2, 0, 1, 2, 4, 1, 4, 3, 0, 4, 4, 2, 0, 4, 3, 4, 4, 4, 2, 2, 0, 3, 2, 0, 0, 1, 2, 4, 4, 3, 4, 4, 3, 4, 1, 1, 0, 1, 4, 3, 4, 3, 4, 4, 0, 2, 0, 4, 0, 0, 1, 1, 4, 1, 2, 0, 4, 4, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 4, 4, 2, 2, 1, 3, 2, 1, 0, 4, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 3, 1, 3, 1, 3, 3, 1, 2, 3, 3, 3, 3, 4, 3, 1, 4, 3, 4, 3, 4, 4, 0, 0, 3, 0, 2, 3, 2, 3, 4, 2, 2, 0, 0, 4, 4, 4, 2, 0, 3, 1, 2, 2] pubkeycol753 = [0, 0, 1, 3, 0, 4, 3, 4, 0, 2, 0, 4, 4, 0, 3, 0, 3, 4, 2, 1, 3, 3, 0, 1, 2, 1, 0, 2, 3, 3, 2, 3, 4, 2, 2, 3, 0, 2, 1, 3, 1, 2, 3, 0, 2, 3, 3, 2, 2, 2, 4, 1, 2, 1, 1, 0, 0, 4, 1, 0, 4, 0, 2, 0, 1, 1, 4, 2, 0, 3, 0, 3, 0, 2, 1, 2, 1, 3, 3, 0, 3, 3, 3, 4, 4, 0, 2, 3, 0, 2, 3, 3, 2, 2, 1, 4, 4, 1, 3, 2, 4, 1, 1, 1, 2, 3, 3, 4, 1, 2, 3, 4, 2, 0, 2, 4, 0, 2, 2, 1, 1, 0, 2, 3, 1, 4, 3, 0, 4, 3, 4, 2, 0, 0, 1, 1, 1, 3, 1, 3, 0, 2, 4, 3, 4, 3, 1, 0, 4, 2, 1, 2, 2, 2, 4, 3, 4, 3, 4, 3, 4, 0, 0, 3, 3, 0, 0, 4, 1, 2, 0, 1, 2, 3, 4, 3, 3, 0, 1, 3, 2, 2, 1, 3, 1, 0, 3, 2, 0, 4, 1, 0, 3, 2, 1, 3, 2, 3, 0, 2, 1, 1, 4, 3, 4, 4, 2, 2, 2, 1, 2, 3, 1, 0, 3, 1, 3, 3, 0, 1, 0, 2, 2, 3, 3, 3, 3, 4, 2, 4, 0, 4, 4, 4, 4, 1, 2, 2, 2, 2, 4, 2, 1, 3, 1, 4, 1, 3, 3, 3, 1, 1, 3, 4, 2, 2, 4, 2, 3, 3, 0, 0, 3, 1, 3, 4, 0, 0, 2, 0, 4, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 4, 3, 2, 0, 3, 1, 0, 0, 4, 1, 3, 2, 4, 2, 3, 2, 2, 2, 4, 3, 4, 3, 0, 4, 0, 2, 0, 1, 4, 3, 4, 4, 4, 3, 2, 2, 1, 2, 2, 2, 2, 0, 3, 0, 0, 3, 3, 2, 2, 3, 4, 2, 0, 0, 1, 3, 1, 3, 2, 4, 1, 3, 1, 0, 4, 1, 3, 4, 3, 1, 2, 3, 0, 0, 0, 3, 4, 4, 3, 3, 1, 4, 4, 3, 0, 3, 1, 1, 1, 0, 3, 2, 1, 2, 3, 3, 4, 2, 1, 0, 3, 4, 4, 2, 0, 3, 2, 1, 2, 4, 4, 1, 0, 2, 0, 3, 0, 3, 1] pubkeycol754 = [4, 4, 1, 2, 2, 0, 0, 3, 3, 2, 2, 0, 0, 0, 4, 0, 0, 4, 2, 3, 2, 2, 3, 2, 0, 0, 0, 4, 0, 4, 0, 2, 0, 4, 3, 2, 3, 4, 1, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 2, 4, 1, 4, 1, 3, 2, 4, 1, 2, 2, 1, 4, 0, 0, 1, 0, 3, 4, 2, 2, 3, 1, 2, 0, 3, 4, 4, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 4, 0, 0, 2, 2, 3, 4, 2, 1, 3, 3, 1, 4, 0, 3, 0, 2, 1, 1, 2, 4, 4, 0, 3, 1, 3, 2, 3, 1, 0, 4, 2, 1, 2, 1, 3, 3, 0, 0, 4, 4, 1, 1, 3, 3, 4, 0, 1, 1, 4, 0, 4, 0, 3, 1, 0, 4, 1, 3, 3, 0, 3, 3, 0, 1, 0, 4, 2, 2, 4, 3, 0, 4, 3, 3, 3, 3, 3, 0, 3, 0, 0, 4, 4, 1, 0, 0, 3, 4, 1, 0, 1, 4, 0, 2, 4, 3, 3, 2, 1, 0, 4, 3, 2, 1, 2, 0, 3, 0, 1, 3, 1, 3, 3, 3, 4, 4, 1, 3, 2, 3, 0, 3, 4, 2, 0, 0, 1, 2, 0, 4, 2, 0, 2, 0, 4, 3, 2, 0, 2, 0, 3, 3, 1, 3, 0, 2, 2, 4, 1, 2, 4, 0, 0, 0, 4, 3, 4, 3, 3, 1, 3, 3, 3, 1, 2, 2, 4, 4, 3, 0, 4, 0, 0, 0, 0, 3, 1, 1, 4, 4, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 3, 2, 4, 0, 0, 1, 3, 4, 4, 3, 2, 2, 2, 0, 2, 4, 0, 3, 4, 0, 2, 1, 4, 3, 1, 2, 1, 4, 1, 1, 0, 0, 0, 4, 1, 2, 1, 3, 3, 0, 4, 0, 2, 1, 3, 3, 4, 2, 0, 2, 2, 3, 0, 1, 3, 3, 1, 2, 1, 2, 3, 0, 4, 3, 3, 0, 3, 2, 2, 2, 0, 4, 3, 2, 0, 4, 3, 4, 4, 1, 2, 1, 3, 4, 4, 3, 1, 2, 2, 4, 2, 3, 2, 3, 2, 4, 3, 1, 3, 1, 3, 3, 1, 0, 3, 2, 2, 3, 1, 4, 1, 3, 1, 0, 0, 0, 2, 3] pubkeycol755 = [3, 1, 0, 0, 2, 3, 3, 0, 0, 1, 3, 4, 2, 1, 3, 3, 2, 2, 0, 2, 2, 3, 4, 2, 3, 1, 2, 1, 0, 0, 2, 3, 0, 1, 4, 3, 1, 3, 0, 2, 0, 3, 1, 4, 2, 4, 2, 3, 1, 4, 2, 3, 0, 2, 0, 4, 1, 3, 1, 3, 3, 1, 2, 0, 0, 4, 1, 4, 2, 0, 0, 0, 3, 3, 3, 3, 1, 1, 3, 3, 2, 1, 4, 2, 3, 1, 4, 1, 1, 2, 2, 0, 2, 3, 1, 4, 2, 0, 1, 4, 4, 3, 0, 1, 4, 2, 2, 0, 0, 1, 4, 3, 1, 0, 1, 4, 2, 4, 0, 0, 2, 0, 1, 4, 3, 4, 4, 1, 2, 0, 3, 0, 4, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 4, 3, 0, 4, 2, 2, 4, 3, 2, 3, 0, 3, 0, 3, 2, 0, 0, 2, 4, 2, 1, 3, 1, 4, 4, 3, 3, 0, 4, 0, 2, 2, 0, 3, 1, 3, 1, 2, 3, 3, 2, 4, 0, 2, 4, 4, 0, 4, 1, 4, 3, 3, 3, 1, 3, 2, 1, 3, 2, 2, 2, 0, 1, 2, 1, 4, 4, 2, 1, 0, 0, 2, 1, 0, 4, 1, 1, 4, 2, 4, 0, 4, 0, 0, 0, 3, 1, 2, 0, 4, 4, 0, 4, 0, 1, 0, 3, 1, 1, 1, 4, 1, 0, 0, 3, 2, 2, 3, 1, 4, 3, 3, 4, 2, 2, 1, 4, 1, 1, 1, 1, 0, 0, 0, 0, 3, 4, 0, 0, 3, 4, 2, 4, 3, 3, 3, 2, 0, 3, 3, 2, 4, 0, 3, 2, 4, 0, 3, 2, 3, 3, 1, 3, 3, 2, 4, 2, 0, 4, 0, 4, 2, 3, 1, 4, 4, 1, 4, 4, 2, 0, 3, 2, 2, 2, 4, 1, 4, 2, 1, 3, 1, 2, 4, 2, 4, 0, 1, 0, 2, 0, 2, 3, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 3, 0, 3, 0, 1, 0, 0, 3, 1, 3, 4, 1, 4, 2, 3, 3, 3, 1, 2, 3, 4, 2, 3, 2, 2, 3, 2, 4, 2, 1, 0, 2, 0, 1, 3, 3, 1, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 1] pubkeycol756 = [4, 0, 4, 3, 2, 2, 3, 4, 2, 0, 4, 2, 3, 1, 3, 3, 3, 0, 3, 2, 1, 0, 4, 3, 3, 0, 0, 1, 2, 1, 0, 0, 0, 3, 2, 4, 2, 3, 3, 1, 4, 2, 1, 2, 4, 4, 0, 1, 3, 0, 1, 2, 3, 3, 1, 1, 0, 0, 1, 4, 0, 3, 0, 3, 1, 4, 4, 4, 1, 4, 4, 4, 2, 0, 4, 2, 3, 1, 4, 2, 1, 3, 1, 2, 4, 4, 1, 0, 0, 4, 2, 3, 0, 2, 0, 1, 2, 3, 1, 2, 4, 4, 4, 1, 3, 4, 3, 2, 4, 4, 0, 1, 3, 1, 4, 0, 3, 4, 0, 3, 1, 1, 3, 2, 4, 2, 3, 2, 1, 2, 0, 4, 3, 4, 0, 0, 2, 4, 0, 3, 4, 0, 0, 1, 2, 4, 3, 2, 1, 3, 3, 4, 0, 1, 3, 0, 4, 2, 3, 4, 4, 1, 1, 1, 1, 2, 4, 1, 1, 3, 4, 4, 2, 2, 2, 0, 4, 0, 2, 4, 2, 2, 2, 2, 1, 0, 0, 1, 3, 3, 0, 4, 3, 1, 1, 0, 4, 1, 2, 4, 2, 0, 0, 3, 3, 0, 3, 2, 3, 3, 0, 1, 4, 4, 4, 2, 0, 3, 3, 1, 1, 1, 2, 1, 3, 1, 2, 1, 2, 3, 3, 2, 4, 0, 2, 3, 2, 3, 1, 4, 2, 3, 4, 4, 1, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 0, 2, 3, 4, 3, 1, 3, 3, 3, 0, 1, 3, 3, 1, 0, 2, 0, 1, 1, 2, 3, 1, 3, 4, 2, 2, 0, 0, 3, 1, 0, 3, 2, 4, 2, 3, 3, 4, 3, 4, 4, 2, 0, 3, 1, 0, 0, 1, 2, 0, 1, 3, 0, 0, 4, 3, 0, 0, 0, 4, 3, 2, 0, 0, 4, 0, 0, 2, 4, 2, 3, 4, 1, 4, 4, 3, 4, 0, 0, 3, 3, 2, 3, 3, 3, 4, 4, 2, 3, 1, 4, 4, 3, 0, 0, 1, 2, 4, 0, 0, 2, 0, 0, 4, 0, 0, 4, 3, 4, 2, 4, 0, 3, 1, 0, 2, 1, 0, 1, 1, 1, 4, 4, 2, 2, 3, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 4, 2, 3, 0, 0] pubkeycol757 = [0, 1, 3, 0, 4, 4, 0, 4, 1, 4, 3, 2, 3, 1, 3, 1, 2, 0, 2, 4, 3, 1, 3, 3, 4, 0, 4, 2, 1, 1, 3, 1, 3, 3, 0, 1, 0, 2, 2, 4, 4, 4, 0, 1, 2, 3, 4, 3, 4, 1, 0, 0, 1, 0, 2, 3, 1, 4, 0, 0, 3, 1, 1, 0, 3, 1, 3, 2, 4, 0, 4, 4, 3, 1, 0, 4, 3, 4, 2, 4, 4, 3, 2, 4, 3, 0, 4, 1, 0, 0, 0, 1, 4, 1, 1, 0, 3, 3, 1, 0, 3, 3, 1, 0, 3, 1, 4, 2, 3, 3, 3, 3, 4, 1, 3, 3, 2, 4, 0, 0, 2, 3, 4, 3, 4, 4, 3, 4, 0, 4, 3, 1, 0, 2, 3, 2, 0, 1, 3, 0, 0, 2, 4, 4, 4, 1, 1, 0, 4, 0, 2, 3, 0, 4, 4, 4, 3, 4, 1, 0, 3, 1, 1, 4, 1, 0, 3, 3, 3, 1, 0, 0, 2, 2, 3, 3, 3, 2, 1, 1, 0, 3, 0, 4, 1, 4, 1, 4, 2, 0, 3, 3, 4, 1, 2, 0, 2, 4, 1, 4, 0, 1, 2, 3, 2, 2, 3, 1, 1, 0, 0, 3, 3, 1, 2, 1, 1, 3, 0, 2, 0, 4, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 0, 0, 2, 3, 4, 2, 3, 2, 3, 0, 4, 0, 1, 3, 0, 1, 4, 1, 1, 2, 3, 1, 2, 4, 2, 2, 2, 2, 1, 3, 2, 4, 0, 2, 4, 2, 2, 4, 0, 2, 3, 1, 4, 4, 3, 4, 2, 1, 4, 0, 3, 4, 4, 3, 1, 3, 2, 4, 3, 0, 1, 2, 0, 4, 1, 4, 1, 2, 1, 2, 0, 4, 4, 4, 2, 2, 0, 3, 2, 1, 0, 0, 3, 1, 1, 0, 0, 3, 3, 4, 1, 4, 4, 2, 1, 3, 3, 0, 1, 3, 3, 2, 0, 2, 2, 1, 4, 2, 4, 1, 3, 0, 3, 4, 2, 0, 1, 2, 1, 2, 4, 3, 0, 4, 4, 3, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 4, 0, 0, 0, 0, 0, 4, 4, 2, 1, 0, 0, 0, 1, 3, 3, 4, 1, 3, 2, 3, 3, 1, 4, 3, 2] pubkeycol758 = [0, 0, 2, 3, 2, 4, 1, 4, 1, 3, 3, 0, 1, 0, 0, 1, 1, 3, 0, 4, 2, 4, 1, 0, 3, 1, 2, 1, 1, 2, 4, 4, 2, 4, 1, 1, 1, 2, 3, 4, 4, 2, 0, 0, 1, 3, 1, 1, 1, 3, 3, 0, 0, 1, 2, 3, 3, 4, 2, 3, 4, 1, 3, 0, 3, 0, 2, 2, 1, 4, 3, 1, 2, 4, 1, 1, 2, 4, 3, 2, 2, 4, 2, 3, 4, 4, 0, 2, 0, 1, 0, 1, 1, 2, 2, 3, 4, 4, 0, 1, 1, 3, 1, 2, 1, 1, 1, 0, 1, 4, 3, 4, 2, 0, 1, 0, 3, 1, 0, 2, 2, 4, 1, 0, 3, 3, 4, 2, 0, 3, 4, 1, 1, 3, 4, 1, 4, 1, 0, 4, 0, 2, 1, 4, 0, 1, 3, 0, 4, 0, 1, 4, 2, 1, 1, 1, 0, 2, 0, 1, 4, 3, 0, 0, 3, 3, 1, 4, 4, 0, 4, 0, 3, 0, 2, 2, 1, 3, 3, 2, 2, 0, 2, 2, 4, 1, 0, 4, 0, 0, 4, 0, 4, 0, 3, 4, 1, 0, 4, 2, 3, 2, 2, 1, 3, 3, 1, 3, 1, 3, 4, 4, 4, 4, 3, 3, 2, 3, 1, 4, 1, 1, 4, 0, 4, 0, 2, 3, 0, 3, 1, 2, 2, 3, 4, 0, 1, 1, 2, 4, 3, 3, 0, 3, 2, 0, 2, 3, 0, 3, 0, 3, 2, 2, 1, 4, 4, 1, 0, 3, 4, 3, 1, 1, 0, 0, 1, 1, 4, 0, 3, 2, 3, 1, 0, 3, 1, 0, 2, 1, 0, 4, 2, 4, 3, 2, 2, 3, 3, 1, 3, 0, 1, 2, 4, 3, 3, 4, 2, 4, 0, 3, 3, 3, 0, 2, 2, 1, 2, 3, 4, 2, 1, 1, 1, 0, 1, 4, 3, 2, 4, 3, 0, 4, 4, 1, 4, 0, 2, 1, 3, 0, 4, 4, 0, 1, 3, 3, 3, 1, 3, 4, 3, 0, 3, 3, 0, 4, 2, 3, 4, 0, 4, 4, 2, 1, 4, 0, 4, 1, 2, 3, 4, 1, 2, 3, 4, 0, 2, 0, 3, 3, 0, 2, 4, 1, 1, 1, 3, 0, 2, 4, 0, 0, 0, 3, 2, 4, 3, 4, 1, 4, 0, 4, 0, 1, 4, 1, 0, 0] pubkeycol759 = [0, 3, 1, 1, 2, 3, 0, 2, 0, 1, 4, 4, 3, 4, 3, 0, 3, 3, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 4, 1, 3, 0, 0, 2, 1, 0, 4, 0, 1, 1, 4, 3, 0, 1, 4, 2, 1, 0, 3, 3, 2, 4, 4, 3, 2, 3, 4, 0, 3, 1, 0, 3, 0, 2, 0, 3, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 3, 0, 2, 0, 0, 3, 0, 0, 1, 1, 2, 2, 1, 0, 3, 3, 3, 2, 2, 3, 0, 4, 0, 0, 4, 3, 1, 4, 3, 2, 1, 1, 2, 0, 2, 2, 1, 0, 4, 4, 0, 4, 2, 3, 2, 0, 0, 3, 3, 3, 4, 1, 4, 2, 4, 2, 2, 3, 1, 0, 0, 2, 3, 1, 4, 2, 2, 3, 2, 0, 3, 2, 4, 0, 2, 2, 0, 2, 2, 3, 3, 1, 0, 2, 4, 3, 3, 2, 4, 1, 0, 2, 3, 1, 2, 4, 2, 2, 0, 3, 1, 3, 1, 2, 3, 4, 1, 4, 2, 4, 4, 4, 1, 1, 2, 4, 2, 3, 1, 0, 2, 0, 1, 2, 0, 3, 1, 2, 3, 4, 1, 0, 0, 3, 3, 4, 0, 2, 3, 3, 4, 4, 2, 3, 4, 1, 3, 3, 3, 3, 2, 2, 2, 1, 0, 2, 1, 4, 1, 3, 4, 3, 3, 2, 2, 3, 2, 0, 4, 0, 3, 0, 3, 3, 3, 4, 2, 1, 2, 1, 0, 4, 1, 1, 4, 0, 0, 3, 3, 2, 2, 3, 1, 0, 4, 3, 1, 1, 2, 0, 0, 3, 1, 3, 4, 0, 1, 0, 3, 4, 3, 3, 0, 1, 3, 4, 0, 2, 3, 4, 4, 3, 3, 3, 4, 4, 0, 2, 3, 4, 0, 3, 2, 3, 1, 3, 1, 4, 1, 3, 1, 1, 2, 0, 0, 1, 0, 4, 0, 3, 1, 3, 4, 0, 4, 0, 4, 2, 4, 0, 0, 2, 4, 4, 4, 1, 3, 3, 4, 4, 0, 1, 0, 0, 2, 1, 0, 2, 3, 2, 1, 1, 1, 0, 0, 0, 1, 3, 3, 1, 2, 2, 1, 0, 4, 3, 4, 2, 4, 2, 1, 1, 0, 3, 4, 4, 1, 1, 1, 1, 4, 3, 2, 2, 3, 4, 4, 0, 1, 3, 4, 0] pubkeycol760 = [2, 0, 4, 3, 0, 2, 1, 4, 3, 1, 3, 4, 1, 2, 0, 2, 4, 3, 2, 0, 0, 4, 3, 2, 0, 3, 0, 2, 1, 3, 1, 3, 0, 4, 0, 0, 1, 0, 4, 4, 2, 1, 1, 3, 2, 1, 3, 1, 4, 0, 0, 0, 0, 3, 3, 4, 4, 0, 1, 3, 3, 3, 4, 2, 1, 4, 0, 3, 2, 4, 2, 3, 4, 1, 4, 3, 0, 3, 0, 4, 2, 4, 1, 1, 0, 1, 3, 1, 0, 4, 0, 2, 3, 0, 1, 4, 0, 4, 2, 2, 4, 2, 0, 3, 3, 4, 4, 2, 2, 2, 0, 4, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 3, 1, 3, 2, 0, 4, 3, 0, 3, 1, 0, 1, 1, 0, 0, 0, 4, 2, 3, 3, 2, 0, 4, 3, 0, 2, 1, 0, 3, 0, 1, 3, 0, 1, 0, 4, 4, 2, 2, 3, 3, 1, 1, 2, 2, 0, 3, 2, 3, 4, 3, 0, 4, 2, 0, 3, 3, 2, 3, 3, 0, 4, 1, 4, 3, 1, 2, 1, 3, 2, 1, 3, 2, 2, 1, 3, 4, 2, 0, 4, 1, 0, 3, 4, 2, 1, 2, 4, 4, 3, 4, 3, 0, 4, 1, 1, 0, 4, 4, 4, 1, 2, 1, 0, 4, 0, 4, 4, 0, 3, 3, 2, 4, 1, 2, 3, 2, 3, 4, 1, 4, 3, 2, 4, 3, 0, 3, 0, 4, 1, 3, 4, 4, 1, 4, 4, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 3, 4, 1, 3, 2, 4, 3, 1, 0, 0, 0, 1, 1, 2, 4, 1, 0, 3, 4, 0, 2, 4, 2, 3, 2, 4, 1, 2, 1, 3, 0, 1, 4, 1, 1, 4, 3, 1, 1, 3, 4, 3, 1, 0, 3, 2, 0, 0, 0, 1, 0, 4, 3, 0, 3, 0, 0, 1, 1, 3, 4, 4, 1, 2, 3, 3, 1, 2, 1, 4, 2, 3, 0, 3, 2, 0, 3, 4, 1, 3, 0, 3, 3, 2, 3, 3, 3, 0, 0, 1, 1, 3, 3, 0, 0, 4, 4, 4, 1, 0, 3, 0, 0, 1, 4, 2, 1, 1, 0, 2, 4, 2, 1, 4, 3, 3, 2, 0, 0, 2, 2, 0] pubkeycol761 = [3, 1, 3, 0, 3, 3, 0, 0, 1, 3, 3, 4, 0, 2, 2, 2, 4, 2, 4, 3, 4, 3, 1, 0, 4, 0, 4, 3, 2, 2, 2, 3, 0, 4, 3, 1, 2, 1, 3, 0, 3, 0, 0, 3, 1, 0, 1, 1, 2, 3, 2, 2, 3, 3, 0, 0, 4, 2, 3, 0, 3, 0, 0, 4, 3, 0, 1, 1, 0, 4, 1, 4, 4, 1, 2, 0, 3, 0, 0, 0, 3, 0, 2, 2, 0, 1, 3, 2, 1, 0, 4, 1, 4, 2, 0, 0, 4, 1, 0, 4, 2, 4, 3, 1, 1, 4, 3, 1, 2, 3, 4, 1, 3, 1, 1, 2, 2, 2, 2, 4, 0, 4, 2, 2, 1, 4, 2, 1, 2, 1, 1, 2, 4, 4, 3, 4, 0, 2, 1, 1, 2, 1, 3, 4, 2, 1, 3, 4, 4, 3, 4, 0, 2, 0, 4, 0, 3, 3, 2, 3, 4, 0, 1, 2, 1, 2, 1, 3, 3, 2, 0, 4, 4, 2, 0, 3, 3, 4, 2, 3, 4, 0, 3, 2, 3, 2, 3, 0, 2, 3, 3, 4, 0, 1, 0, 3, 3, 0, 4, 2, 0, 3, 1, 4, 4, 3, 4, 3, 0, 2, 0, 0, 1, 4, 2, 0, 2, 4, 1, 0, 4, 3, 4, 2, 1, 3, 2, 3, 3, 0, 1, 4, 0, 1, 0, 2, 4, 0, 1, 0, 3, 0, 3, 1, 1, 1, 3, 1, 2, 3, 4, 4, 1, 2, 2, 2, 4, 4, 0, 1, 2, 0, 1, 3, 1, 3, 4, 4, 4, 4, 3, 3, 2, 1, 2, 4, 3, 4, 3, 1, 4, 1, 4, 3, 1, 0, 2, 3, 2, 1, 2, 1, 0, 2, 3, 0, 1, 4, 4, 1, 4, 4, 0, 4, 1, 1, 4, 1, 2, 2, 0, 1, 2, 1, 3, 2, 3, 3, 0, 1, 4, 2, 0, 2, 3, 0, 1, 3, 0, 3, 2, 2, 2, 1, 4, 1, 3, 2, 0, 2, 0, 3, 0, 4, 1, 3, 1, 1, 3, 0, 0, 2, 3, 1, 0, 2, 4, 2, 4, 1, 0, 2, 3, 4, 4, 3, 2, 4, 2, 3, 2, 3, 4, 0, 2, 4, 2, 0, 3, 4, 4, 2, 1, 1, 1, 3, 1, 4, 4, 0, 4, 2, 3, 0, 2, 4, 3, 4, 3, 2] pubkeycol762 = [2, 2, 0, 2, 1, 2, 0, 3, 1, 3, 0, 2, 1, 0, 4, 0, 2, 3, 4, 1, 1, 4, 3, 0, 2, 4, 3, 3, 3, 0, 3, 3, 2, 1, 2, 1, 2, 0, 4, 4, 1, 4, 3, 0, 2, 0, 3, 0, 3, 3, 0, 3, 1, 2, 3, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 4, 0, 1, 2, 2, 4, 4, 4, 1, 1, 0, 1, 4, 0, 2, 4, 0, 0, 4, 2, 3, 4, 0, 0, 0, 4, 0, 3, 3, 3, 4, 1, 3, 0, 0, 1, 0, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 4, 1, 3, 2, 4, 0, 1, 2, 3, 3, 1, 3, 3, 3, 4, 1, 2, 1, 4, 3, 1, 4, 0, 1, 0, 1, 1, 1, 4, 3, 4, 3, 3, 2, 2, 4, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 3, 1, 3, 2, 4, 2, 2, 3, 1, 3, 2, 3, 3, 2, 1, 0, 2, 0, 4, 4, 3, 4, 2, 0, 1, 4, 3, 4, 1, 2, 0, 0, 4, 0, 1, 2, 0, 1, 0, 3, 3, 0, 3, 2, 4, 0, 2, 3, 2, 2, 4, 3, 2, 4, 2, 2, 3, 1, 0, 1, 4, 4, 2, 1, 2, 3, 1, 4, 4, 2, 0, 4, 1, 2, 4, 4, 4, 0, 0, 4, 0, 2, 1, 4, 1, 1, 0, 0, 1, 1, 0, 3, 3, 3, 0, 2, 1, 0, 3, 3, 2, 0, 1, 1, 4, 4, 4, 2, 3, 2, 4, 1, 4, 0, 4, 3, 3, 1, 2, 3, 3, 1, 2, 0, 0, 4, 1, 4, 0, 0, 3, 0, 4, 4, 2, 3, 2, 0, 3, 3, 1, 1, 3, 4, 2, 2, 2, 3, 3, 2, 4, 0, 0, 2, 3, 0, 0, 4, 3, 1, 1, 2, 3, 4, 0, 4, 3, 4, 0, 4, 4, 2, 2, 4, 3, 1, 0, 1, 3, 2, 4, 2, 2, 3, 2, 4, 4, 4, 1, 4, 3, 2, 2, 1, 4, 1, 0, 0, 4, 3, 3, 2, 2, 3, 4, 3, 2, 3, 0, 2, 2, 2, 0, 2, 3, 2, 4, 3, 2, 2, 4, 2, 2, 1, 1, 2, 0, 0, 0, 4, 4, 0, 3, 0, 3, 3, 2, 4, 2, 4, 3, 4] pubkeycol763 = [2, 4, 2, 2, 4, 3, 1, 4, 3, 4, 1, 3, 0, 2, 2, 1, 1, 0, 2, 0, 4, 4, 2, 0, 1, 2, 4, 0, 2, 3, 1, 1, 2, 0, 1, 3, 2, 1, 2, 2, 3, 0, 0, 4, 2, 4, 3, 2, 3, 1, 3, 3, 2, 2, 2, 2, 0, 3, 2, 3, 1, 3, 0, 0, 3, 3, 4, 3, 1, 0, 0, 4, 0, 3, 3, 0, 3, 3, 4, 3, 4, 4, 4, 0, 2, 3, 3, 0, 0, 4, 3, 4, 1, 4, 1, 4, 0, 4, 2, 0, 3, 1, 1, 0, 0, 3, 0, 2, 1, 3, 4, 4, 2, 4, 0, 3, 0, 1, 4, 4, 2, 2, 4, 4, 4, 1, 4, 0, 1, 4, 1, 1, 0, 0, 0, 0, 3, 1, 3, 2, 1, 1, 4, 4, 4, 1, 4, 4, 2, 4, 1, 3, 0, 1, 0, 4, 4, 2, 4, 0, 2, 3, 2, 1, 4, 2, 1, 4, 1, 3, 1, 0, 2, 2, 2, 4, 3, 2, 2, 0, 1, 3, 4, 4, 1, 4, 1, 4, 1, 1, 1, 1, 0, 4, 3, 3, 0, 1, 1, 0, 4, 1, 0, 3, 4, 2, 3, 2, 3, 1, 0, 4, 3, 1, 3, 4, 2, 3, 1, 0, 3, 0, 1, 2, 4, 3, 3, 1, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 4, 2, 3, 2, 0, 3, 0, 4, 2, 0, 3, 4, 3, 0, 0, 2, 1, 4, 0, 0, 1, 0, 2, 3, 1, 4, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 4, 1, 3, 3, 0, 4, 2, 4, 0, 3, 1, 0, 3, 3, 3, 2, 3, 2, 0, 0, 0, 2, 3, 2, 2, 3, 2, 2, 2, 1, 3, 2, 3, 1, 4, 2, 4, 4, 1, 0, 3, 4, 2, 0, 0, 4, 0, 1, 0, 3, 2, 0, 1, 4, 3, 2, 0, 1, 4, 0, 3, 1, 2, 0, 3, 4, 3, 4, 0, 3, 4, 0, 4, 2, 3, 1, 2, 4, 4, 3, 1, 0, 3, 2, 2, 0, 1, 1, 0, 4, 2, 2, 0, 1, 0, 0, 1, 0, 3, 3, 0, 3, 3, 3, 0, 0, 4, 2, 1, 0, 0, 4, 1, 4, 3, 2, 2, 3, 2, 2, 1, 3, 2, 0, 4] pubkeycol764 = [1, 1, 3, 0, 4, 0, 1, 1, 1, 2, 3, 0, 3, 0, 1, 3, 4, 3, 4, 0, 0, 1, 1, 1, 3, 0, 1, 3, 1, 4, 3, 2, 1, 1, 3, 4, 3, 3, 0, 2, 4, 0, 0, 2, 3, 4, 2, 4, 1, 3, 2, 0, 2, 1, 4, 4, 2, 2, 3, 2, 2, 1, 3, 4, 4, 2, 0, 3, 4, 3, 1, 3, 0, 1, 4, 1, 4, 0, 3, 0, 1, 3, 1, 2, 0, 1, 3, 2, 1, 4, 0, 2, 3, 2, 1, 1, 2, 1, 1, 1, 2, 4, 3, 2, 3, 0, 1, 3, 0, 4, 2, 1, 1, 1, 4, 1, 0, 2, 4, 0, 1, 4, 3, 2, 3, 3, 4, 1, 3, 3, 2, 3, 3, 2, 2, 4, 0, 2, 3, 4, 3, 4, 4, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 4, 3, 4, 4, 2, 4, 3, 3, 4, 1, 3, 3, 1, 0, 1, 1, 4, 0, 3, 2, 4, 4, 3, 3, 0, 1, 2, 3, 3, 2, 2, 4, 3, 3, 1, 4, 3, 0, 0, 4, 3, 3, 2, 4, 4, 4, 0, 4, 2, 1, 1, 3, 1, 1, 3, 4, 1, 2, 3, 4, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 4, 2, 1, 4, 1, 3, 1, 3, 0, 3, 2, 4, 2, 3, 3, 2, 4, 2, 0, 0, 1, 4, 3, 3, 3, 0, 3, 0, 3, 4, 0, 1, 3, 0, 2, 3, 0, 4, 2, 3, 3, 2, 1, 4, 4, 0, 2, 0, 3, 2, 3, 1, 4, 1, 0, 2, 3, 0, 1, 0, 0, 4, 0, 4, 4, 1, 1, 2, 2, 3, 2, 4, 1, 2, 3, 1, 4, 2, 2, 1, 1, 4, 3, 4, 4, 3, 0, 4, 2, 0, 2, 0, 1, 3, 0, 1, 4, 4, 0, 2, 3, 2, 0, 2, 4, 4, 3, 2, 0, 1, 2, 0, 3, 2, 1, 2, 2, 3, 2, 2, 0, 2, 4, 3, 4, 1, 2, 0, 0, 1, 0, 0, 3, 4, 2, 3, 4, 3, 2, 0, 1, 3, 0, 2, 3, 2, 2, 4, 3, 4, 3, 2, 3, 1, 4, 4, 3, 2, 3, 3, 3, 4, 1, 0, 1, 1, 0, 3, 1, 2, 0, 3, 1, 0, 0, 2] pubkeycol765 = [0, 4, 4, 0, 3, 2, 1, 1, 3, 1, 2, 2, 0, 4, 3, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 3, 0, 2, 1, 1, 0, 4, 2, 4, 0, 4, 3, 0, 3, 3, 0, 0, 4, 2, 1, 2, 3, 1, 1, 0, 3, 0, 3, 0, 0, 0, 0, 4, 1, 1, 1, 4, 3, 0, 3, 0, 2, 4, 0, 3, 4, 2, 1, 3, 1, 0, 1, 2, 4, 4, 0, 4, 2, 4, 0, 2, 1, 0, 1, 3, 2, 3, 2, 2, 4, 4, 4, 2, 4, 3, 2, 1, 4, 0, 2, 4, 4, 3, 1, 4, 3, 0, 3, 1, 0, 1, 2, 0, 4, 0, 0, 1, 3, 0, 1, 2, 1, 0, 1, 3, 4, 3, 0, 1, 0, 3, 4, 2, 0, 4, 3, 0, 0, 0, 0, 2, 0, 4, 3, 4, 3, 1, 0, 4, 3, 3, 4, 1, 4, 0, 0, 2, 1, 2, 3, 2, 3, 3, 4, 2, 1, 4, 1, 2, 3, 0, 0, 0, 1, 4, 3, 0, 2, 1, 2, 4, 1, 0, 2, 2, 1, 0, 4, 3, 3, 3, 2, 1, 2, 4, 4, 2, 3, 3, 2, 1, 3, 0, 4, 4, 3, 4, 2, 1, 2, 2, 3, 1, 0, 3, 3, 4, 4, 3, 0, 1, 1, 4, 2, 0, 1, 3, 2, 4, 4, 4, 2, 0, 1, 3, 4, 4, 1, 1, 2, 3, 3, 3, 0, 1, 4, 2, 4, 4, 1, 3, 2, 3, 4, 4, 3, 3, 3, 0, 0, 4, 1, 4, 2, 4, 0, 4, 2, 1, 0, 1, 2, 2, 0, 0, 1, 4, 3, 2, 2, 1, 3, 2, 1, 4, 3, 3, 3, 2, 2, 3, 4, 0, 2, 0, 1, 4, 3, 3, 3, 0, 3, 1, 3, 4, 1, 4, 0, 2, 4, 0, 0, 0, 3, 4, 1, 0, 0, 1, 4, 3, 0, 4, 4, 3, 2, 3, 1, 0, 2, 4, 2, 4, 2, 4, 4, 4, 1, 2, 3, 0, 4, 0, 4, 4, 0, 1, 3, 3, 2, 1, 2, 1, 0, 3, 0, 0, 3, 4, 0, 3, 2, 2, 1, 0, 1, 3, 4, 2, 4, 1, 4, 4, 0, 1, 2, 3, 0, 4, 4, 3, 2, 1, 4, 3, 4, 0, 3, 1, 4, 1, 2, 2, 0, 2] pubkeycol766 = [0, 1, 1, 1, 3, 2, 0, 3, 2, 4, 3, 2, 2, 2, 1, 2, 3, 4, 0, 2, 1, 4, 4, 2, 4, 0, 2, 0, 2, 2, 3, 3, 2, 2, 0, 2, 4, 0, 2, 1, 0, 2, 4, 1, 0, 2, 4, 2, 2, 1, 1, 2, 0, 3, 1, 2, 2, 0, 4, 3, 3, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 3, 1, 3, 2, 0, 3, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 4, 1, 3, 2, 1, 3, 4, 2, 2, 3, 0, 2, 2, 1, 4, 4, 4, 3, 3, 2, 4, 2, 3, 3, 0, 0, 4, 0, 1, 2, 2, 1, 0, 1, 4, 0, 4, 0, 3, 3, 0, 0, 0, 3, 0, 2, 3, 3, 3, 4, 1, 0, 4, 4, 1, 0, 2, 2, 2, 0, 3, 4, 2, 3, 0, 0, 2, 4, 2, 2, 0, 4, 1, 3, 1, 1, 2, 4, 1, 2, 2, 3, 3, 4, 0, 0, 3, 4, 3, 0, 4, 0, 0, 3, 4, 2, 0, 0, 1, 1, 4, 3, 4, 1, 3, 0, 2, 4, 2, 4, 1, 2, 0, 0, 4, 2, 4, 2, 2, 2, 3, 3, 3, 1, 0, 3, 3, 2, 3, 1, 2, 1, 2, 2, 0, 4, 4, 1, 1, 4, 1, 3, 4, 1, 0, 4, 2, 0, 2, 0, 0, 2, 1, 1, 3, 1, 1, 2, 2, 0, 0, 0, 0, 2, 4, 1, 4, 0, 4, 1, 1, 2, 0, 4, 2, 4, 0, 0, 4, 2, 0, 3, 3, 1, 4, 0, 1, 4, 3, 3, 4, 3, 2, 0, 1, 3, 0, 0, 2, 3, 1, 2, 3, 2, 2, 0, 1, 0, 4, 3, 3, 2, 1, 1, 3, 1, 4, 0, 1, 4, 1, 4, 3, 0, 0, 1, 4, 2, 1, 1, 3, 2, 0, 2, 4, 4, 2, 1, 2, 4, 0, 1, 0, 3, 0, 1, 2, 2, 3, 4, 1, 1, 2, 4, 2, 2, 0, 0, 0, 3, 1, 2, 1, 1, 3, 1, 1, 3, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 4, 2, 4, 3, 1, 2, 0, 2, 1, 0, 3, 4, 2, 2, 1, 2, 3, 4, 2, 0, 2, 1, 1, 2, 1, 2, 4, 4, 4, 4, 3, 3, 4, 3] pubkeycol767 = [2, 2, 3, 2, 3, 4, 0, 4, 2, 1, 3, 1, 4, 3, 3, 2, 0, 4, 2, 2, 0, 2, 0, 3, 0, 1, 0, 2, 1, 3, 4, 3, 2, 2, 1, 4, 2, 0, 0, 1, 4, 3, 1, 4, 0, 4, 4, 0, 0, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 3, 0, 0, 0, 1, 2, 1, 4, 0, 0, 4, 2, 3, 0, 0, 2, 2, 4, 2, 4, 0, 0, 2, 1, 0, 2, 3, 2, 2, 3, 1, 3, 3, 0, 4, 4, 2, 1, 3, 0, 3, 3, 2, 1, 2, 1, 2, 0, 2, 3, 3, 2, 2, 0, 2, 1, 3, 4, 2, 1, 0, 2, 2, 2, 3, 1, 1, 2, 2, 2, 1, 3, 0, 0, 4, 3, 0, 4, 1, 2, 0, 4, 0, 3, 0, 2, 1, 3, 2, 2, 1, 0, 3, 1, 4, 4, 4, 2, 1, 4, 3, 2, 4, 2, 4, 4, 1, 0, 3, 0, 0, 2, 1, 2, 2, 1, 4, 2, 0, 2, 3, 0, 2, 3, 2, 3, 0, 4, 2, 0, 3, 3, 2, 0, 2, 2, 0, 4, 4, 2, 1, 1, 1, 4, 1, 2, 1, 2, 1, 3, 0, 3, 4, 3, 3, 4, 3, 2, 3, 4, 3, 3, 2, 4, 2, 2, 4, 0, 0, 1, 1, 4, 3, 1, 0, 3, 0, 3, 4, 4, 4, 1, 1, 4, 2, 3, 3, 2, 1, 1, 2, 3, 0, 4, 3, 1, 4, 0, 4, 1, 1, 3, 4, 0, 1, 1, 0, 4, 1, 3, 2, 3, 3, 0, 1, 3, 2, 3, 0, 0, 0, 3, 0, 2, 4, 2, 0, 4, 3, 3, 0, 3, 0, 4, 4, 3, 3, 2, 2, 1, 1, 3, 2, 4, 3, 2, 2, 2, 4, 4, 4, 4, 2, 0, 1, 3, 1, 4, 3, 3, 2, 4, 0, 2, 0, 1, 1, 4, 3, 4, 1, 4, 1, 2, 0, 0, 3, 1, 1, 4, 4, 1, 2, 1, 3, 4, 1, 3, 3, 0, 4, 4, 2, 1, 3, 2, 4, 1, 4, 1, 0, 1, 2, 3, 2, 1, 4, 1, 4, 1, 4, 2, 3, 4, 4, 2, 0, 1, 2, 3, 0, 2, 1, 1, 4, 1, 1, 3, 2, 0, 3, 3, 3, 3, 0, 2, 3, 0, 1, 2, 2] pubkeycol768 = [3, 1, 3, 0, 3, 2, 3, 2, 1, 3, 3, 2, 1, 1, 3, 4, 2, 3, 0, 2, 1, 2, 3, 0, 1, 2, 0, 4, 1, 4, 2, 1, 0, 4, 0, 2, 1, 3, 3, 0, 1, 1, 3, 1, 3, 3, 0, 4, 2, 0, 2, 2, 2, 2, 4, 3, 2, 3, 3, 4, 1, 0, 4, 1, 1, 2, 3, 2, 0, 3, 3, 1, 4, 4, 1, 4, 4, 1, 0, 4, 2, 1, 0, 3, 4, 0, 1, 4, 4, 4, 0, 4, 4, 1, 0, 1, 3, 4, 0, 3, 2, 2, 1, 1, 3, 2, 1, 3, 2, 2, 3, 4, 4, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 3, 4, 3, 0, 2, 0, 1, 2, 3, 0, 3, 3, 4, 0, 3, 2, 1, 3, 4, 2, 4, 1, 1, 0, 3, 0, 4, 0, 3, 3, 2, 2, 3, 0, 4, 0, 3, 4, 1, 1, 2, 2, 4, 4, 4, 3, 3, 4, 1, 4, 4, 4, 4, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 4, 2, 3, 4, 3, 0, 1, 1, 4, 0, 0, 1, 0, 4, 4, 4, 3, 1, 4, 4, 2, 3, 2, 1, 0, 0, 0, 0, 2, 3, 2, 0, 1, 1, 2, 3, 2, 3, 0, 3, 4, 0, 2, 0, 4, 4, 2, 3, 2, 3, 4, 4, 3, 1, 1, 2, 2, 4, 2, 0, 4, 1, 2, 1, 4, 1, 3, 4, 1, 4, 3, 0, 0, 0, 2, 0, 4, 4, 4, 0, 4, 2, 3, 0, 0, 1, 2, 4, 0, 4, 0, 4, 1, 2, 4, 4, 0, 3, 0, 0, 1, 3, 0, 3, 0, 1, 0, 0, 3, 3, 4, 1, 4, 0, 3, 0, 3, 2, 4, 2, 0, 0, 0, 0, 4, 3, 3, 2, 0, 3, 0, 0, 3, 0, 2, 3, 0, 0, 3, 4, 0, 4, 3, 1, 1, 3, 4, 0, 4, 3, 4, 2, 2, 1, 1, 0, 4, 3, 0, 4, 3, 4, 3, 0, 0, 2, 4, 1, 4, 3, 4, 3, 2, 3, 3, 1, 4, 4, 0, 0, 1, 4, 1, 3, 0, 2, 2, 0, 4, 0, 0, 1, 3, 4, 1, 0, 0, 0, 4, 0, 2, 4, 3, 0] pubkeycol769 = [2, 1, 4, 0, 4, 4, 0, 0, 4, 1, 0, 2, 1, 1, 3, 1, 3, 3, 0, 2, 4, 4, 0, 3, 2, 4, 1, 1, 3, 3, 0, 0, 1, 1, 2, 2, 1, 2, 4, 1, 4, 3, 2, 3, 4, 0, 1, 1, 0, 2, 3, 4, 4, 3, 2, 2, 2, 2, 1, 4, 1, 3, 0, 1, 3, 1, 0, 1, 4, 1, 4, 0, 3, 4, 4, 2, 4, 0, 3, 3, 2, 3, 0, 0, 1, 3, 0, 2, 2, 0, 1, 4, 2, 4, 2, 4, 1, 0, 0, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 4, 3, 3, 3, 0, 3, 3, 2, 4, 1, 3, 4, 3, 1, 1, 3, 3, 3, 0, 4, 2, 3, 2, 1, 3, 3, 1, 4, 1, 1, 2, 2, 2, 4, 2, 3, 4, 0, 3, 1, 4, 0, 4, 2, 2, 4, 1, 0, 2, 0, 3, 2, 1, 4, 3, 3, 2, 4, 2, 0, 2, 1, 2, 4, 4, 0, 0, 0, 3, 1, 2, 4, 0, 0, 1, 1, 0, 3, 4, 3, 3, 1, 4, 1, 3, 4, 3, 4, 4, 4, 2, 2, 2, 3, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 4, 4, 0, 3, 4, 1, 1, 0, 0, 0, 2, 3, 1, 4, 2, 1, 1, 1, 1, 0, 1, 2, 0, 3, 4, 1, 4, 0, 0, 2, 3, 4, 1, 3, 4, 2, 1, 1, 3, 3, 4, 2, 4, 0, 0, 1, 3, 2, 0, 4, 1, 1, 4, 3, 2, 1, 0, 3, 2, 2, 3, 4, 3, 0, 4, 4, 1, 3, 1, 2, 3, 3, 4, 3, 1, 2, 0, 3, 4, 4, 3, 0, 1, 0, 3, 2, 0, 2, 2, 0, 4, 4, 1, 0, 3, 1, 2, 2, 3, 2, 0, 4, 0, 3, 0, 0, 1, 2, 3, 2, 3, 2, 2, 1, 0, 1, 4, 0, 1, 3, 3, 3, 4, 1, 1, 1, 1, 3, 0, 0, 3, 3, 0, 2, 4, 3, 2, 4, 0, 4, 3, 4, 2, 2, 3, 1, 3, 4, 3, 0, 1, 1, 4, 4, 2, 3, 3, 3, 1, 0, 3, 2, 0, 3, 4, 0, 0, 3, 3, 0, 3, 3, 1, 4, 4, 1, 1, 0, 2, 3, 3, 2, 0, 3] pubkeycol770 = [3, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 3, 4, 4, 3, 3, 4, 0, 2, 2, 3, 2, 1, 2, 0, 3, 3, 0, 4, 4, 4, 2, 3, 4, 3, 4, 1, 4, 1, 3, 1, 2, 2, 0, 1, 1, 0, 1, 2, 3, 3, 2, 0, 3, 4, 0, 0, 0, 0, 4, 2, 0, 1, 2, 2, 1, 3, 0, 4, 4, 3, 2, 3, 4, 3, 2, 3, 4, 2, 4, 4, 2, 2, 1, 0, 4, 2, 2, 4, 4, 1, 3, 4, 2, 1, 2, 4, 1, 0, 2, 2, 3, 2, 1, 3, 1, 3, 0, 2, 1, 3, 1, 2, 1, 4, 4, 4, 3, 1, 1, 4, 2, 0, 2, 2, 2, 1, 0, 2, 4, 0, 3, 0, 1, 2, 1, 1, 2, 3, 2, 1, 0, 2, 2, 3, 1, 3, 0, 1, 0, 2, 4, 4, 1, 4, 0, 0, 1, 3, 4, 4, 3, 4, 1, 3, 0, 2, 0, 2, 0, 3, 1, 1, 4, 2, 4, 4, 0, 0, 4, 2, 0, 2, 3, 0, 3, 0, 4, 1, 4, 4, 1, 4, 3, 1, 1, 0, 4, 0, 2, 1, 4, 3, 0, 1, 0, 0, 3, 3, 3, 4, 2, 4, 3, 1, 3, 4, 3, 2, 3, 4, 2, 0, 3, 1, 0, 1, 4, 4, 4, 2, 0, 0, 1, 4, 1, 1, 4, 0, 0, 2, 0, 1, 0, 4, 0, 0, 1, 1, 3, 2, 2, 1, 4, 3, 4, 1, 4, 0, 0, 4, 0, 2, 0, 1, 0, 2, 3, 3, 1, 4, 1, 4, 0, 1, 0, 2, 3, 3, 1, 0, 0, 4, 1, 3, 2, 1, 3, 3, 2, 2, 1, 4, 2, 2, 3, 2, 0, 0, 3, 1, 3, 1, 1, 0, 0, 1, 3, 3, 4, 3, 1, 0, 4, 4, 4, 3, 3, 1, 0, 3, 3, 2, 0, 3, 0, 2, 2, 0, 0, 4, 4, 2, 2, 3, 3, 3, 2, 4, 3, 3, 3, 0, 4, 0, 2, 2, 3, 1, 3, 3, 3, 2, 1, 0, 4, 3, 1, 1, 4, 0, 3, 0, 3, 1, 4, 2, 4, 1, 2, 1, 1, 2, 0, 3, 2, 0, 0, 3, 2, 4, 4, 0, 1, 1, 4, 2, 2, 1, 3, 4, 2, 3, 2, 1, 3, 4, 3, 0, 0] pubkeycol771 = [1, 2, 2, 4, 0, 0, 3, 2, 3, 3, 2, 0, 4, 2, 2, 4, 2, 1, 2, 2, 4, 2, 0, 4, 2, 1, 1, 1, 4, 1, 0, 1, 0, 0, 3, 0, 2, 1, 3, 0, 2, 2, 1, 0, 4, 2, 2, 4, 3, 1, 4, 3, 4, 1, 3, 4, 0, 1, 1, 0, 3, 1, 2, 4, 4, 4, 2, 2, 2, 1, 4, 2, 0, 1, 0, 4, 1, 2, 0, 0, 0, 3, 3, 1, 0, 2, 4, 1, 0, 4, 4, 1, 2, 3, 2, 0, 2, 0, 2, 2, 4, 0, 3, 3, 3, 4, 3, 2, 2, 2, 2, 1, 0, 3, 3, 0, 3, 2, 3, 4, 3, 0, 2, 0, 3, 1, 2, 4, 0, 1, 4, 3, 2, 2, 0, 2, 1, 1, 4, 1, 1, 4, 1, 3, 0, 0, 3, 2, 3, 1, 3, 0, 4, 2, 4, 0, 4, 0, 4, 3, 3, 4, 0, 3, 0, 1, 2, 4, 3, 3, 2, 2, 0, 4, 1, 0, 3, 4, 2, 1, 4, 0, 2, 3, 1, 2, 4, 2, 1, 3, 2, 4, 3, 0, 1, 4, 4, 4, 0, 2, 3, 1, 1, 4, 3, 1, 2, 3, 3, 3, 3, 1, 2, 4, 1, 2, 4, 3, 2, 4, 0, 1, 3, 1, 1, 1, 4, 4, 1, 3, 4, 0, 1, 4, 2, 2, 1, 2, 4, 0, 3, 2, 3, 2, 4, 2, 1, 0, 4, 3, 0, 1, 4, 3, 1, 0, 1, 4, 1, 3, 2, 1, 0, 2, 3, 4, 4, 2, 1, 1, 3, 0, 2, 4, 4, 2, 4, 3, 3, 3, 2, 3, 4, 2, 3, 2, 2, 2, 4, 2, 2, 0, 3, 3, 3, 2, 0, 0, 1, 3, 0, 1, 0, 1, 0, 0, 2, 1, 4, 0, 1, 2, 1, 1, 1, 2, 4, 3, 2, 0, 2, 3, 0, 0, 4, 3, 2, 0, 3, 3, 4, 4, 1, 3, 3, 0, 4, 2, 2, 2, 3, 2, 0, 1, 3, 0, 1, 1, 0, 0, 3, 3, 0, 1, 3, 4, 4, 2, 3, 2, 1, 3, 3, 3, 0, 1, 2, 2, 3, 4, 0, 1, 3, 2, 1, 4, 1, 4, 2, 4, 4, 1, 3, 3, 1, 3, 0, 0, 4, 4, 4, 4, 3, 0, 0, 2, 0, 0, 1, 3] pubkeycol772 = [2, 1, 0, 2, 4, 2, 2, 1, 1, 4, 1, 4, 0, 3, 2, 2, 1, 0, 1, 0, 3, 0, 2, 1, 0, 3, 2, 3, 4, 1, 4, 2, 4, 3, 2, 3, 2, 4, 3, 1, 2, 0, 2, 2, 3, 3, 1, 3, 0, 2, 1, 3, 0, 0, 1, 3, 0, 3, 1, 4, 0, 4, 3, 4, 4, 1, 2, 1, 3, 1, 1, 1, 3, 2, 1, 1, 1, 3, 4, 1, 4, 1, 3, 3, 2, 1, 2, 4, 2, 3, 0, 4, 3, 0, 4, 0, 4, 3, 3, 1, 2, 3, 4, 4, 1, 1, 1, 0, 1, 2, 3, 4, 3, 1, 2, 4, 3, 0, 2, 1, 2, 0, 3, 3, 4, 1, 0, 0, 0, 0, 1, 3, 2, 0, 4, 2, 4, 4, 1, 0, 4, 1, 4, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 2, 2, 2, 1, 3, 2, 1, 2, 1, 3, 0, 3, 2, 0, 2, 1, 3, 4, 2, 4, 1, 3, 0, 2, 2, 4, 2, 4, 4, 1, 2, 2, 3, 4, 3, 3, 0, 2, 4, 0, 2, 0, 0, 3, 0, 0, 3, 3, 4, 2, 4, 1, 3, 2, 1, 3, 3, 0, 2, 2, 3, 0, 1, 2, 0, 1, 0, 4, 2, 4, 3, 2, 2, 4, 1, 4, 0, 4, 2, 0, 1, 4, 1, 2, 0, 1, 0, 2, 2, 2, 0, 3, 2, 0, 4, 3, 3, 2, 2, 3, 4, 4, 1, 4, 0, 3, 3, 4, 2, 1, 1, 1, 0, 2, 3, 4, 1, 0, 1, 1, 0, 4, 3, 2, 3, 3, 1, 2, 1, 2, 3, 1, 1, 0, 3, 1, 4, 3, 1, 1, 3, 0, 0, 1, 4, 3, 1, 1, 4, 0, 3, 0, 2, 3, 3, 2, 4, 2, 1, 3, 0, 0, 4, 1, 2, 1, 1, 3, 2, 4, 3, 2, 2, 0, 1, 0, 3, 1, 1, 3, 2, 4, 2, 4, 4, 2, 3, 2, 4, 3, 0, 2, 1, 2, 2, 1, 2, 3, 3, 2, 4, 4, 4, 0, 2, 0, 3, 0, 4, 4, 1, 1, 2, 1, 1, 1, 4, 0, 4, 3, 1, 0, 2, 2, 4, 3, 1, 2, 3, 4, 4, 0, 2, 3, 0, 4, 4, 0, 1, 3, 0, 0, 1, 4, 4, 0, 2] pubkeycol773 = [2, 3, 1, 2, 1, 1, 3, 0, 3, 3, 0, 3, 2, 0, 4, 1, 4, 1, 1, 1, 3, 1, 4, 3, 4, 1, 1, 3, 3, 0, 3, 0, 0, 4, 1, 0, 1, 2, 4, 3, 2, 0, 1, 2, 2, 4, 2, 0, 1, 4, 2, 1, 4, 2, 1, 2, 3, 3, 0, 0, 1, 1, 4, 1, 1, 0, 2, 4, 4, 1, 2, 2, 0, 2, 4, 0, 4, 0, 2, 2, 1, 2, 3, 4, 2, 1, 1, 1, 4, 4, 1, 1, 0, 3, 4, 3, 1, 1, 0, 0, 1, 3, 2, 1, 3, 3, 0, 3, 2, 3, 0, 4, 3, 4, 2, 3, 1, 0, 4, 2, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 2, 1, 4, 2, 2, 0, 0, 2, 0, 2, 0, 3, 2, 2, 1, 1, 3, 3, 1, 4, 3, 3, 3, 3, 0, 4, 3, 1, 3, 1, 4, 4, 2, 1, 4, 1, 3, 4, 4, 0, 4, 4, 1, 0, 2, 0, 4, 0, 3, 0, 0, 2, 0, 3, 4, 1, 4, 4, 2, 2, 1, 1, 4, 0, 4, 2, 4, 2, 4, 1, 2, 0, 3, 4, 3, 2, 2, 4, 2, 2, 1, 2, 3, 1, 1, 2, 3, 2, 3, 3, 2, 4, 0, 2, 3, 0, 2, 0, 1, 3, 3, 1, 0, 4, 0, 1, 2, 3, 4, 2, 2, 0, 4, 4, 4, 4, 4, 1, 3, 2, 4, 2, 1, 2, 4, 0, 2, 1, 4, 2, 2, 3, 3, 1, 2, 1, 2, 0, 0, 0, 2, 4, 3, 1, 3, 0, 1, 0, 2, 1, 4, 4, 0, 1, 4, 3, 2, 0, 2, 0, 2, 1, 0, 4, 3, 0, 3, 2, 3, 4, 3, 2, 2, 0, 4, 0, 3, 0, 2, 0, 2, 3, 4, 4, 3, 1, 4, 2, 2, 2, 1, 2, 1, 3, 3, 3, 0, 3, 1, 4, 2, 2, 1, 4, 1, 4, 0, 2, 1, 1, 4, 1, 0, 4, 2, 2, 3, 1, 0, 4, 1, 4, 1, 0, 3, 0, 1, 1, 2, 2, 3, 2, 0, 4, 1, 0, 1, 0, 1, 3, 4, 1, 4, 3, 4, 1, 2, 4, 3, 2, 4, 3, 1, 0, 0, 4, 2, 0, 0, 4, 1, 1, 3, 0, 1, 3, 1] pubkeycol774 = [4, 0, 0, 4, 0, 1, 1, 3, 3, 4, 0, 2, 1, 4, 3, 4, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 0, 4, 1, 4, 2, 3, 2, 0, 0, 2, 1, 3, 3, 0, 3, 0, 2, 1, 4, 1, 0, 1, 2, 1, 3, 4, 1, 0, 1, 3, 2, 0, 3, 3, 2, 2, 2, 3, 2, 0, 4, 0, 3, 2, 1, 4, 2, 4, 1, 4, 1, 1, 0, 1, 4, 2, 1, 2, 2, 4, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 4, 0, 4, 1, 3, 2, 4, 0, 4, 1, 1, 3, 1, 0, 1, 1, 4, 1, 2, 2, 3, 2, 0, 1, 0, 0, 4, 0, 2, 3, 4, 1, 0, 1, 2, 0, 4, 0, 3, 3, 4, 0, 1, 2, 1, 2, 1, 0, 1, 4, 1, 2, 0, 2, 0, 4, 4, 4, 3, 2, 3, 3, 1, 2, 0, 2, 3, 2, 4, 0, 0, 4, 2, 0, 3, 0, 0, 4, 3, 3, 1, 1, 2, 0, 2, 1, 0, 3, 2, 4, 0, 0, 3, 0, 3, 0, 2, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 0, 3, 2, 0, 0, 4, 2, 2, 3, 4, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 3, 3, 3, 0, 1, 3, 2, 3, 4, 0, 3, 1, 1, 1, 4, 0, 3, 1, 1, 3, 3, 1, 1, 3, 3, 4, 3, 4, 3, 4, 4, 3, 0, 3, 4, 2, 0, 4, 1, 2, 2, 1, 4, 0, 1, 2, 4, 0, 0, 3, 3, 3, 3, 3, 1, 1, 4, 2, 4, 2, 3, 0, 4, 2, 3, 1, 0, 1, 4, 0, 1, 3, 4, 0, 1, 1, 4, 0, 0, 2, 3, 2, 4, 1, 3, 2, 3, 0, 2, 4, 0, 3, 3, 4, 1, 0, 0, 1, 3, 3, 1, 0, 2, 2, 1, 0, 1, 3, 1, 3, 0, 2, 2, 2, 4, 2, 0, 0, 0, 3, 0, 2, 4, 1, 1, 0, 4, 0, 2, 2, 1, 4, 2, 3, 0, 4, 4, 1, 2, 2, 0, 3, 2, 1, 3, 3, 2, 2, 1, 4, 0, 2, 0, 0, 0, 4, 0, 1, 4, 1, 0, 3, 0, 4, 2, 0, 4, 3, 0, 2, 0, 2, 2, 0, 0] pubkeycol775 = [3, 1, 3, 4, 3, 0, 1, 2, 1, 2, 2, 4, 0, 1, 4, 0, 1, 2, 1, 4, 3, 4, 4, 0, 1, 1, 1, 2, 1, 1, 3, 3, 0, 3, 3, 4, 4, 0, 3, 2, 0, 3, 1, 0, 1, 3, 1, 2, 4, 2, 0, 0, 3, 4, 3, 2, 2, 3, 4, 2, 1, 1, 3, 0, 2, 3, 4, 1, 2, 4, 2, 3, 0, 4, 4, 4, 1, 1, 1, 2, 3, 4, 2, 2, 2, 0, 0, 2, 3, 3, 3, 4, 1, 2, 4, 2, 4, 3, 1, 2, 3, 4, 3, 4, 3, 3, 1, 2, 0, 0, 1, 1, 3, 0, 3, 4, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 4, 4, 2, 2, 4, 2, 4, 2, 2, 4, 1, 2, 0, 4, 2, 0, 1, 1, 0, 4, 1, 3, 0, 0, 3, 1, 2, 3, 3, 4, 3, 4, 4, 3, 1, 2, 3, 0, 2, 4, 2, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 4, 4, 4, 2, 3, 3, 0, 1, 3, 4, 4, 3, 1, 1, 4, 1, 2, 3, 4, 4, 3, 2, 4, 3, 2, 2, 0, 4, 0, 4, 4, 0, 0, 4, 1, 3, 4, 0, 3, 4, 3, 3, 0, 2, 4, 2, 4, 0, 0, 2, 3, 2, 1, 4, 0, 3, 2, 0, 0, 4, 4, 4, 3, 0, 1, 4, 3, 4, 4, 1, 0, 4, 2, 3, 3, 1, 2, 1, 0, 1, 3, 3, 1, 4, 0, 4, 2, 4, 1, 3, 4, 4, 3, 0, 4, 4, 4, 2, 2, 2, 1, 2, 3, 2, 4, 4, 1, 3, 3, 4, 1, 3, 0, 3, 0, 2, 4, 0, 4, 1, 3, 2, 4, 3, 0, 4, 1, 0, 3, 2, 3, 3, 1, 3, 3, 2, 0, 4, 4, 4, 4, 1, 1, 3, 0, 3, 1, 0, 1, 1, 1, 4, 3, 4, 0, 2, 2, 0, 1, 0, 4, 0, 1, 1, 1, 3, 2, 4, 4, 4, 4, 2, 2, 3, 4, 0, 4, 3, 2, 0, 0, 0, 3, 1, 0, 1, 2, 0, 3, 0, 2, 0, 0, 4, 1, 0, 4, 0, 0, 1, 4, 2, 2, 4, 3, 1, 3, 1, 4, 0, 0, 1, 0, 1, 0, 4] pubkeycol776 = [3, 0, 0, 1, 4, 2, 0, 0, 4, 1, 1, 4, 3, 2, 2, 4, 4, 1, 3, 1, 4, 1, 3, 2, 1, 4, 4, 4, 3, 3, 2, 4, 0, 2, 4, 4, 3, 0, 2, 0, 4, 3, 0, 2, 0, 2, 4, 2, 3, 2, 4, 3, 4, 4, 4, 0, 1, 1, 0, 2, 3, 4, 1, 1, 3, 4, 0, 2, 2, 0, 1, 3, 4, 3, 0, 0, 1, 3, 1, 2, 2, 3, 2, 1, 1, 3, 3, 1, 2, 2, 2, 1, 2, 0, 3, 4, 2, 0, 3, 0, 3, 2, 3, 0, 1, 0, 0, 2, 3, 1, 0, 1, 4, 4, 3, 0, 4, 3, 4, 4, 4, 1, 3, 0, 0, 2, 1, 3, 4, 4, 2, 3, 1, 0, 1, 0, 3, 0, 2, 0, 1, 4, 1, 2, 3, 3, 4, 4, 2, 0, 4, 4, 2, 1, 4, 0, 3, 1, 4, 3, 2, 3, 4, 4, 0, 4, 2, 4, 0, 3, 3, 3, 0, 2, 1, 3, 3, 1, 1, 4, 0, 2, 0, 0, 2, 1, 2, 2, 2, 3, 4, 0, 3, 4, 3, 1, 0, 2, 3, 0, 3, 1, 1, 3, 1, 1, 2, 0, 2, 4, 0, 0, 2, 4, 2, 0, 1, 1, 3, 4, 4, 3, 0, 3, 2, 0, 0, 3, 4, 3, 3, 1, 1, 3, 2, 4, 2, 0, 2, 0, 2, 0, 2, 2, 0, 4, 1, 4, 4, 1, 0, 4, 3, 4, 1, 3, 3, 1, 3, 3, 4, 3, 4, 1, 2, 1, 1, 1, 0, 2, 3, 1, 1, 4, 1, 3, 4, 2, 0, 3, 1, 0, 1, 2, 4, 0, 3, 4, 1, 4, 2, 3, 4, 0, 2, 3, 4, 4, 3, 3, 0, 4, 3, 2, 4, 0, 4, 4, 3, 3, 4, 3, 3, 2, 0, 2, 1, 2, 1, 2, 0, 0, 4, 4, 3, 2, 2, 0, 1, 3, 2, 3, 1, 0, 2, 2, 0, 0, 1, 2, 3, 4, 0, 0, 2, 2, 3, 1, 0, 3, 3, 1, 2, 3, 4, 1, 3, 1, 2, 3, 4, 0, 3, 0, 0, 3, 2, 3, 4, 2, 0, 2, 0, 3, 1, 2, 0, 2, 3, 2, 3, 4, 1, 0, 1, 3, 3, 2, 1, 3, 1, 3, 4, 1, 1, 2, 0, 0, 2, 2] pubkeycol777 = [0, 0, 2, 0, 0, 3, 0, 0, 3, 2, 4, 0, 2, 0, 0, 1, 1, 1, 0, 4, 1, 2, 0, 0, 4, 4, 2, 0, 0, 1, 4, 4, 3, 1, 0, 4, 0, 2, 0, 4, 3, 1, 1, 0, 1, 3, 4, 2, 4, 4, 0, 3, 0, 4, 0, 1, 4, 4, 3, 0, 3, 0, 1, 1, 4, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 3, 3, 4, 3, 1, 2, 1, 1, 1, 4, 4, 1, 2, 2, 0, 1, 4, 1, 0, 1, 4, 1, 0, 0, 1, 1, 2, 3, 3, 2, 2, 2, 2, 4, 4, 1, 1, 0, 4, 2, 4, 2, 4, 2, 4, 4, 4, 1, 3, 4, 1, 2, 0, 4, 0, 2, 0, 2, 2, 1, 0, 0, 2, 4, 1, 3, 0, 1, 1, 1, 2, 4, 2, 3, 2, 0, 1, 3, 3, 0, 4, 0, 0, 0, 0, 4, 1, 2, 2, 3, 3, 1, 2, 0, 1, 2, 4, 3, 0, 1, 0, 3, 2, 1, 2, 4, 0, 3, 3, 1, 2, 3, 1, 3, 1, 2, 0, 3, 3, 3, 1, 1, 0, 0, 4, 3, 3, 1, 1, 2, 4, 0, 0, 1, 1, 4, 1, 2, 0, 2, 2, 0, 3, 0, 2, 0, 2, 4, 2, 3, 3, 3, 2, 1, 2, 4, 2, 2, 2, 4, 4, 2, 2, 3, 2, 0, 1, 2, 0, 4, 4, 1, 1, 0, 1, 4, 3, 0, 2, 4, 1, 3, 4, 2, 2, 1, 2, 4, 1, 2, 3, 4, 3, 0, 4, 3, 3, 2, 3, 2, 3, 1, 2, 4, 4, 3, 1, 2, 3, 4, 1, 3, 1, 2, 0, 3, 3, 1, 3, 3, 3, 1, 0, 1, 4, 0, 4, 4, 2, 3, 0, 2, 3, 3, 3, 4, 4, 4, 2, 4, 2, 4, 4, 0, 0, 1, 0, 4, 1, 2, 0, 1, 2, 1, 3, 2, 1, 2, 4, 4, 0, 0, 3, 4, 3, 0, 3, 2, 3, 0, 4, 3, 3, 4, 2, 4, 3, 2, 3, 1, 3, 4, 3, 0, 3, 0, 1, 0, 1, 4, 4, 0, 1, 1, 1, 4, 1, 3, 1, 3, 1, 4, 4, 3, 0, 2, 4, 4, 4, 1, 1, 2, 4, 4, 1, 3, 1, 1, 2] pubkeycol778 = [3, 2, 1, 0, 4, 2, 0, 4, 4, 2, 0, 3, 1, 2, 2, 3, 3, 4, 3, 2, 3, 2, 2, 4, 2, 3, 4, 0, 3, 3, 4, 2, 2, 4, 1, 3, 4, 1, 0, 2, 1, 1, 0, 3, 3, 3, 3, 2, 2, 2, 4, 1, 1, 2, 1, 4, 4, 4, 1, 4, 3, 4, 3, 4, 0, 0, 0, 1, 3, 2, 1, 2, 0, 4, 4, 3, 0, 1, 2, 4, 2, 3, 0, 3, 2, 0, 1, 3, 4, 0, 0, 3, 1, 2, 2, 3, 4, 1, 1, 1, 0, 2, 1, 2, 3, 1, 3, 2, 3, 0, 4, 4, 3, 3, 4, 2, 3, 0, 2, 2, 3, 4, 2, 1, 2, 4, 0, 2, 4, 0, 1, 0, 0, 1, 2, 3, 1, 0, 2, 4, 1, 2, 2, 0, 1, 4, 1, 1, 3, 4, 1, 4, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 4, 3, 4, 2, 4, 4, 4, 1, 3, 0, 3, 2, 1, 3, 2, 3, 1, 1, 1, 0, 2, 3, 4, 3, 2, 0, 3, 1, 1, 1, 4, 2, 4, 1, 0, 1, 4, 0, 3, 1, 4, 3, 3, 2, 3, 0, 2, 3, 1, 4, 4, 4, 3, 3, 3, 3, 1, 3, 2, 0, 2, 4, 2, 3, 2, 0, 4, 2, 0, 3, 3, 2, 4, 2, 0, 4, 4, 0, 2, 2, 4, 4, 0, 1, 4, 4, 1, 1, 4, 0, 4, 2, 1, 2, 3, 2, 0, 4, 1, 2, 2, 0, 2, 1, 2, 0, 3, 4, 3, 4, 4, 1, 0, 0, 0, 4, 2, 4, 1, 4, 0, 3, 3, 2, 2, 4, 4, 3, 4, 3, 3, 4, 1, 2, 1, 1, 3, 2, 3, 0, 0, 0, 4, 3, 1, 0, 0, 2, 1, 2, 2, 1, 0, 3, 0, 4, 2, 2, 3, 4, 2, 4, 0, 0, 3, 2, 4, 0, 3, 1, 0, 1, 2, 2, 3, 4, 0, 3, 4, 0, 0, 1, 1, 0, 4, 2, 1, 0, 3, 2, 1, 1, 1, 0, 3, 2, 0, 4, 4, 2, 0, 4, 2, 2, 3, 1, 0, 1, 4, 1, 2, 0, 4, 3, 0, 2, 2, 0, 2, 2, 0, 4, 4, 2, 2, 3, 3, 3, 2, 1, 0, 2, 0, 2, 2, 3] pubkeycol779 = [3, 4, 2, 3, 4, 3, 1, 2, 2, 3, 0, 4, 2, 3, 3, 4, 2, 3, 4, 4, 4, 3, 2, 4, 3, 3, 4, 4, 2, 3, 2, 0, 4, 4, 4, 3, 3, 2, 4, 2, 1, 4, 3, 4, 4, 2, 1, 4, 0, 2, 3, 0, 4, 2, 2, 4, 0, 0, 0, 1, 3, 3, 1, 3, 0, 3, 3, 2, 2, 1, 1, 1, 1, 1, 4, 2, 3, 3, 0, 4, 4, 2, 2, 0, 1, 0, 3, 3, 1, 0, 3, 0, 4, 1, 0, 3, 1, 2, 2, 4, 1, 4, 3, 0, 1, 4, 0, 3, 2, 0, 3, 1, 2, 0, 0, 4, 0, 3, 2, 3, 4, 4, 4, 4, 1, 1, 3, 0, 1, 3, 1, 1, 2, 2, 2, 4, 0, 0, 1, 0, 4, 4, 4, 2, 0, 0, 3, 0, 4, 0, 1, 2, 2, 3, 3, 3, 0, 1, 2, 0, 1, 0, 1, 4, 4, 3, 0, 3, 4, 4, 3, 4, 1, 3, 2, 4, 1, 2, 4, 2, 3, 0, 2, 0, 2, 2, 0, 4, 0, 2, 0, 4, 3, 3, 0, 3, 4, 2, 4, 2, 0, 0, 4, 1, 0, 4, 1, 0, 3, 2, 0, 3, 3, 0, 4, 4, 4, 4, 3, 4, 0, 4, 2, 2, 1, 1, 1, 0, 1, 0, 4, 4, 1, 1, 4, 1, 0, 2, 2, 4, 2, 2, 0, 4, 0, 2, 3, 0, 0, 2, 3, 1, 0, 4, 3, 2, 4, 3, 1, 1, 1, 3, 0, 2, 3, 4, 2, 1, 0, 4, 0, 1, 2, 0, 1, 0, 3, 2, 4, 3, 3, 0, 2, 2, 3, 3, 1, 2, 0, 0, 4, 4, 1, 4, 1, 1, 0, 3, 1, 4, 1, 1, 3, 4, 3, 0, 4, 0, 1, 3, 0, 1, 3, 4, 2, 4, 3, 2, 3, 3, 2, 2, 1, 0, 2, 0, 1, 4, 1, 3, 3, 0, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 3, 1, 1, 3, 4, 2, 4, 4, 1, 1, 0, 2, 1, 4, 4, 0, 4, 1, 4, 3, 1, 0, 0, 2, 1, 1, 1, 2, 3, 3, 2, 4, 1, 3, 2, 2, 3, 2, 4, 4, 4, 2, 1, 2, 4, 0, 2, 3, 3, 3, 1] pubkeycol780 = [3, 0, 1, 0, 2, 1, 4, 2, 1, 1, 0, 1, 3, 4, 1, 4, 0, 4, 4, 1, 0, 3, 1, 3, 3, 0, 1, 4, 3, 2, 4, 4, 3, 3, 0, 0, 1, 0, 1, 3, 4, 2, 3, 0, 1, 3, 4, 1, 0, 2, 1, 2, 2, 2, 3, 1, 0, 1, 3, 3, 3, 2, 1, 1, 0, 1, 0, 1, 3, 1, 0, 4, 0, 0, 3, 1, 4, 0, 2, 4, 3, 3, 0, 0, 4, 2, 3, 1, 3, 4, 1, 1, 3, 1, 1, 3, 1, 4, 2, 0, 3, 1, 4, 3, 0, 1, 4, 1, 4, 0, 4, 3, 4, 4, 0, 3, 1, 1, 3, 0, 4, 1, 4, 3, 0, 3, 3, 4, 2, 3, 4, 4, 3, 4, 0, 1, 4, 3, 4, 0, 0, 1, 4, 4, 2, 3, 1, 0, 3, 3, 0, 1, 0, 3, 3, 3, 3, 0, 4, 1, 2, 1, 1, 3, 4, 0, 2, 4, 1, 4, 3, 2, 1, 0, 0, 0, 4, 0, 2, 0, 1, 4, 1, 3, 1, 0, 3, 2, 1, 4, 0, 0, 1, 3, 1, 2, 2, 1, 3, 2, 4, 3, 2, 2, 4, 1, 2, 0, 1, 2, 4, 4, 2, 4, 3, 0, 4, 1, 4, 4, 3, 3, 3, 4, 4, 2, 3, 2, 2, 0, 3, 4, 2, 4, 1, 1, 1, 3, 0, 2, 2, 1, 2, 4, 3, 0, 2, 2, 0, 0, 4, 2, 0, 1, 4, 3, 3, 3, 2, 2, 0, 1, 3, 4, 4, 2, 0, 4, 4, 1, 3, 0, 0, 4, 4, 1, 3, 2, 3, 3, 0, 1, 3, 4, 4, 3, 0, 1, 4, 0, 3, 0, 2, 0, 4, 4, 1, 2, 2, 2, 1, 2, 1, 2, 2, 3, 0, 1, 0, 1, 1, 4, 3, 2, 2, 3, 4, 1, 1, 1, 4, 2, 4, 2, 4, 3, 1, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 1, 3, 4, 4, 2, 3, 0, 0, 2, 3, 1, 4, 0, 4, 1, 0, 1, 4, 3, 0, 2, 4, 2, 1, 4, 4, 0, 2, 1, 4, 1, 2, 1, 1, 2, 0, 3, 1, 0, 0, 4, 2, 3, 1, 4, 3, 4, 4, 3, 0, 0, 2, 1, 4, 2, 3, 1, 1, 3, 4, 3, 0, 3] pubkeycol781 = [2, 0, 0, 0, 0, 0, 2, 4, 4, 2, 2, 2, 2, 3, 3, 1, 4, 2, 1, 3, 0, 4, 3, 4, 1, 2, 3, 2, 4, 3, 3, 1, 0, 1, 1, 1, 0, 2, 0, 3, 4, 2, 4, 0, 4, 2, 4, 3, 0, 3, 0, 4, 1, 4, 1, 0, 3, 2, 2, 3, 0, 4, 4, 4, 2, 0, 1, 2, 2, 3, 1, 2, 3, 4, 1, 4, 1, 2, 2, 4, 4, 0, 3, 2, 0, 4, 3, 0, 3, 0, 2, 3, 2, 3, 3, 3, 4, 0, 1, 4, 2, 2, 0, 4, 4, 3, 3, 3, 4, 4, 0, 1, 0, 2, 1, 1, 2, 4, 2, 4, 4, 1, 0, 1, 3, 4, 0, 2, 2, 0, 0, 3, 4, 4, 1, 0, 0, 2, 0, 1, 3, 1, 1, 2, 4, 4, 1, 1, 4, 3, 2, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 3, 2, 1, 2, 4, 0, 0, 3, 1, 2, 4, 0, 1, 4, 4, 0, 1, 3, 2, 4, 3, 2, 3, 0, 4, 0, 4, 1, 3, 0, 3, 0, 4, 1, 0, 1, 1, 2, 0, 1, 4, 2, 0, 4, 4, 0, 1, 1, 3, 4, 1, 0, 3, 3, 0, 4, 2, 4, 2, 0, 0, 4, 0, 2, 2, 4, 0, 3, 1, 4, 2, 1, 2, 4, 4, 3, 4, 0, 2, 2, 2, 4, 1, 2, 2, 4, 1, 4, 2, 1, 4, 2, 2, 3, 0, 3, 0, 0, 2, 3, 2, 4, 0, 1, 0, 0, 1, 4, 2, 1, 0, 4, 3, 0, 4, 0, 1, 3, 3, 2, 2, 1, 0, 1, 0, 2, 4, 3, 2, 0, 1, 0, 3, 2, 3, 3, 4, 2, 4, 4, 3, 3, 3, 4, 0, 3, 2, 4, 1, 2, 3, 0, 1, 1, 1, 2, 1, 0, 4, 0, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 2, 3, 0, 4, 1, 2, 0, 3, 4, 0, 3, 0, 0, 2, 1, 1, 3, 4, 1, 2, 4, 1, 3, 2, 1, 2, 2, 2, 4, 3, 3, 3, 3, 2, 4, 3, 2, 1, 3, 2, 3, 3, 1, 2, 4, 2, 2, 1, 0, 0, 2, 4, 4, 3, 4, 4, 4, 2, 3, 1, 1, 2, 2, 3] pubkeycol782 = [1, 4, 2, 3, 0, 1, 3, 3, 3, 1, 0, 0, 4, 2, 1, 3, 1, 2, 3, 1, 2, 1, 4, 4, 1, 0, 1, 4, 3, 1, 2, 3, 2, 3, 1, 1, 2, 0, 2, 2, 2, 1, 3, 1, 2, 1, 0, 4, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 3, 1, 4, 2, 3, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 4, 1, 2, 4, 3, 3, 2, 4, 1, 4, 1, 2, 0, 3, 0, 1, 3, 0, 1, 1, 2, 4, 4, 3, 3, 1, 1, 4, 1, 0, 3, 4, 3, 2, 4, 2, 0, 2, 3, 0, 3, 1, 3, 1, 3, 1, 3, 1, 1, 2, 1, 3, 4, 2, 2, 2, 2, 4, 2, 3, 4, 1, 0, 3, 0, 0, 1, 1, 4, 1, 0, 3, 2, 2, 2, 3, 0, 3, 3, 2, 0, 0, 1, 0, 0, 3, 1, 4, 4, 1, 2, 0, 3, 1, 2, 2, 2, 0, 4, 3, 0, 3, 4, 3, 0, 1, 1, 4, 4, 1, 2, 3, 0, 4, 2, 2, 1, 3, 3, 0, 4, 3, 4, 2, 0, 4, 4, 0, 1, 4, 4, 4, 2, 1, 4, 4, 3, 1, 3, 3, 2, 4, 1, 3, 2, 0, 1, 3, 4, 1, 3, 3, 3, 3, 2, 3, 0, 3, 0, 3, 3, 2, 1, 1, 1, 0, 1, 0, 4, 4, 4, 1, 4, 0, 4, 4, 2, 1, 0, 3, 0, 2, 2, 0, 0, 0, 3, 2, 4, 3, 0, 2, 2, 3, 0, 4, 4, 3, 3, 3, 2, 1, 0, 0, 4, 0, 0, 4, 2, 3, 1, 3, 0, 4, 1, 0, 4, 2, 1, 2, 3, 2, 2, 1, 0, 0, 1, 2, 1, 2, 4, 2, 4, 3, 1, 4, 4, 1, 1, 1, 3, 4, 2, 4, 2, 1, 2, 1, 3, 2, 4, 0, 1, 1, 1, 1, 2, 0, 2, 2, 3, 4, 3, 3, 4, 1, 0, 2, 0, 1, 4, 3, 0, 2, 1, 4, 1, 2, 4, 3, 4, 3, 3, 3, 1, 0, 3, 2, 0, 1, 1, 2, 0, 3, 3, 2, 1, 2, 3, 3, 1, 0, 2, 0, 0, 1, 1, 3, 4, 4, 3, 1, 0, 2, 4, 1, 3, 2, 4, 3, 0] pubkeycol783 = [2, 0, 4, 0, 4, 0, 2, 0, 2, 3, 0, 1, 1, 4, 1, 1, 0, 0, 4, 3, 1, 3, 2, 2, 2, 0, 2, 1, 0, 2, 4, 3, 1, 3, 0, 4, 0, 0, 4, 0, 0, 2, 0, 4, 4, 0, 4, 1, 0, 0, 4, 3, 4, 2, 4, 3, 2, 4, 1, 1, 4, 2, 1, 3, 1, 4, 1, 1, 4, 1, 1, 3, 3, 0, 2, 2, 3, 0, 2, 4, 3, 1, 4, 2, 1, 2, 2, 0, 0, 2, 3, 2, 2, 0, 4, 0, 3, 2, 1, 4, 0, 4, 3, 1, 1, 0, 3, 4, 4, 4, 2, 0, 2, 3, 1, 4, 3, 3, 0, 2, 1, 4, 0, 0, 2, 3, 2, 4, 4, 1, 0, 1, 2, 3, 4, 1, 3, 4, 0, 2, 4, 1, 1, 0, 2, 4, 3, 2, 3, 2, 3, 2, 4, 4, 4, 1, 3, 0, 4, 2, 4, 1, 0, 1, 4, 2, 4, 4, 0, 3, 4, 3, 0, 2, 0, 4, 3, 3, 3, 2, 3, 1, 0, 4, 2, 3, 0, 2, 1, 4, 3, 1, 2, 1, 4, 3, 1, 3, 3, 1, 3, 2, 4, 2, 2, 4, 1, 4, 1, 2, 2, 2, 3, 2, 4, 1, 2, 1, 0, 2, 2, 4, 4, 4, 0, 2, 3, 0, 1, 1, 4, 0, 4, 2, 0, 4, 3, 4, 4, 1, 4, 3, 2, 2, 4, 4, 4, 3, 0, 4, 4, 3, 1, 1, 1, 2, 2, 1, 3, 1, 2, 0, 4, 0, 0, 3, 1, 1, 0, 3, 3, 2, 0, 1, 0, 1, 3, 3, 4, 4, 3, 3, 4, 3, 1, 3, 0, 2, 3, 2, 3, 2, 0, 2, 3, 1, 0, 1, 0, 3, 0, 2, 4, 2, 2, 0, 4, 2, 1, 1, 3, 2, 1, 2, 2, 0, 0, 0, 2, 2, 4, 0, 3, 1, 4, 3, 3, 1, 2, 4, 4, 4, 3, 1, 0, 2, 2, 3, 1, 4, 0, 0, 2, 3, 3, 3, 3, 3, 0, 2, 4, 2, 4, 1, 3, 2, 0, 0, 2, 4, 3, 2, 4, 1, 1, 3, 1, 3, 2, 0, 1, 0, 0, 4, 4, 4, 4, 1, 1, 4, 4, 1, 0, 3, 1, 4, 0, 4, 3, 0, 4, 0, 1, 1, 2, 4, 4, 4, 2, 2] pubkeycol784 = [3, 2, 2, 0, 3, 3, 2, 2, 1, 2, 1, 4, 2, 1, 1, 1, 4, 2, 3, 2, 2, 1, 4, 1, 1, 2, 1, 1, 3, 1, 3, 2, 3, 4, 1, 1, 4, 0, 4, 2, 0, 0, 1, 3, 3, 1, 1, 3, 3, 1, 4, 4, 2, 4, 1, 3, 2, 4, 3, 1, 2, 3, 2, 0, 0, 3, 3, 1, 0, 0, 1, 3, 0, 4, 3, 1, 3, 1, 3, 1, 2, 4, 4, 4, 1, 3, 1, 0, 1, 3, 2, 4, 1, 4, 4, 1, 2, 3, 0, 3, 4, 0, 2, 0, 2, 3, 2, 3, 4, 0, 1, 4, 4, 3, 3, 3, 3, 2, 0, 3, 0, 0, 4, 0, 0, 1, 4, 0, 0, 3, 1, 0, 1, 3, 4, 1, 3, 2, 2, 1, 1, 3, 2, 4, 3, 3, 0, 3, 2, 4, 3, 4, 0, 3, 0, 2, 1, 2, 3, 1, 1, 0, 2, 0, 4, 3, 1, 2, 3, 3, 2, 4, 1, 3, 2, 3, 3, 3, 2, 1, 2, 0, 0, 4, 1, 1, 3, 3, 0, 0, 3, 4, 4, 0, 4, 3, 0, 1, 4, 2, 2, 4, 3, 4, 3, 0, 1, 4, 4, 4, 1, 2, 4, 2, 0, 4, 0, 2, 2, 2, 2, 4, 0, 0, 1, 2, 4, 0, 0, 2, 4, 4, 4, 0, 0, 3, 3, 4, 3, 1, 2, 1, 0, 2, 4, 3, 1, 3, 1, 3, 2, 4, 4, 4, 1, 3, 4, 4, 4, 0, 4, 3, 1, 4, 2, 3, 2, 4, 4, 3, 2, 0, 1, 3, 2, 0, 1, 0, 3, 1, 1, 3, 4, 1, 4, 4, 1, 1, 3, 3, 3, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 3, 0, 1, 3, 2, 0, 3, 2, 1, 3, 3, 3, 2, 2, 2, 2, 3, 1, 0, 4, 2, 1, 0, 3, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 4, 0, 2, 3, 3, 2, 2, 2, 0, 3, 3, 1, 0, 4, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 3, 2, 1, 0, 4, 1, 3, 1, 2, 4, 4, 3, 1, 3, 0, 3, 0, 4, 4, 0, 2, 0, 1, 2, 4, 1, 2, 3, 4, 2, 2, 4, 2] pubkeycol785 = [0, 3, 4, 4, 4, 1, 1, 3, 2, 3, 4, 4, 4, 3, 4, 2, 4, 1, 3, 3, 4, 2, 1, 4, 0, 0, 4, 1, 2, 2, 0, 1, 2, 4, 2, 4, 0, 3, 1, 3, 0, 0, 0, 4, 2, 0, 4, 4, 4, 3, 0, 4, 3, 0, 1, 1, 3, 1, 0, 3, 4, 4, 4, 4, 4, 0, 2, 2, 1, 4, 4, 4, 0, 1, 0, 1, 0, 0, 1, 4, 1, 4, 4, 1, 4, 0, 0, 0, 3, 0, 4, 0, 3, 0, 0, 3, 4, 3, 0, 1, 0, 4, 0, 0, 2, 4, 2, 3, 2, 0, 3, 0, 3, 0, 1, 1, 4, 4, 0, 3, 3, 2, 1, 2, 3, 4, 4, 1, 2, 2, 3, 1, 2, 3, 3, 1, 0, 0, 2, 4, 1, 0, 3, 1, 4, 3, 4, 3, 3, 1, 3, 0, 4, 1, 0, 2, 1, 1, 3, 2, 0, 0, 2, 1, 1, 4, 4, 1, 2, 3, 0, 2, 3, 3, 1, 3, 1, 0, 2, 4, 2, 2, 0, 3, 2, 4, 2, 2, 1, 4, 4, 1, 3, 4, 4, 2, 3, 1, 1, 3, 0, 4, 2, 4, 0, 3, 3, 4, 4, 4, 0, 4, 4, 0, 1, 3, 1, 4, 4, 0, 3, 4, 4, 2, 3, 4, 0, 3, 4, 2, 1, 1, 0, 1, 3, 4, 1, 0, 3, 2, 1, 2, 3, 4, 3, 4, 3, 3, 4, 2, 2, 2, 4, 3, 0, 0, 2, 1, 3, 4, 1, 2, 4, 3, 1, 4, 0, 3, 3, 1, 0, 3, 1, 0, 1, 3, 2, 3, 3, 1, 2, 4, 0, 2, 3, 4, 3, 0, 3, 4, 3, 2, 4, 0, 1, 1, 2, 3, 4, 2, 0, 4, 2, 2, 4, 2, 2, 1, 0, 2, 2, 0, 3, 0, 2, 2, 4, 1, 4, 2, 0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 4, 3, 0, 3, 0, 2, 4, 3, 1, 0, 1, 3, 2, 1, 0, 1, 2, 0, 4, 3, 4, 3, 3, 3, 3, 0, 2, 4, 2, 0, 0, 2, 3, 1, 3, 2, 4, 1, 3, 1, 2, 4, 2, 3, 0, 0, 2, 4, 2, 1, 3, 4, 3, 3, 0, 2, 3, 4, 4, 0, 1, 1, 2, 1, 4, 4, 3] pubkeycol786 = [2, 0, 0, 0, 3, 2, 2, 2, 0, 1, 4, 4, 3, 0, 1, 1, 1, 4, 4, 1, 1, 0, 2, 3, 3, 3, 2, 4, 1, 1, 4, 1, 4, 1, 1, 2, 1, 4, 0, 1, 2, 2, 0, 1, 0, 4, 3, 1, 4, 3, 4, 4, 2, 3, 4, 4, 2, 0, 0, 2, 2, 1, 2, 3, 0, 1, 2, 0, 1, 1, 3, 3, 4, 4, 2, 3, 3, 4, 0, 1, 4, 4, 0, 4, 2, 3, 1, 4, 3, 4, 4, 2, 2, 1, 0, 3, 0, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 0, 2, 0, 0, 1, 1, 3, 4, 1, 3, 1, 4, 3, 4, 2, 4, 0, 4, 2, 4, 0, 4, 0, 3, 0, 4, 1, 0, 4, 2, 2, 2, 0, 2, 4, 1, 0, 3, 0, 2, 0, 2, 0, 1, 1, 4, 2, 3, 0, 1, 2, 3, 4, 4, 2, 4, 0, 4, 1, 4, 1, 4, 0, 4, 1, 0, 0, 0, 3, 3, 1, 1, 4, 1, 4, 1, 3, 3, 4, 1, 3, 3, 4, 0, 2, 4, 0, 2, 3, 1, 2, 2, 1, 3, 2, 4, 1, 2, 1, 4, 1, 0, 0, 3, 2, 0, 2, 0, 0, 1, 0, 0, 3, 3, 2, 3, 4, 1, 4, 1, 0, 3, 0, 0, 1, 3, 3, 4, 2, 0, 4, 4, 4, 4, 2, 1, 1, 0, 3, 4, 4, 3, 0, 0, 0, 1, 0, 4, 1, 3, 1, 2, 0, 2, 2, 4, 4, 1, 4, 2, 3, 0, 4, 3, 4, 1, 3, 4, 4, 0, 4, 3, 1, 0, 0, 4, 0, 1, 3, 0, 0, 1, 4, 0, 1, 0, 3, 3, 3, 2, 4, 3, 2, 2, 0, 3, 0, 1, 1, 4, 2, 1, 1, 1, 2, 4, 3, 4, 1, 2, 2, 3, 4, 2, 1, 2, 2, 1, 0, 1, 4, 1, 3, 0, 0, 4, 3, 0, 0, 0, 0, 2, 3, 3, 4, 1, 2, 2, 3, 4, 4, 4, 0, 4, 2, 4, 2, 3, 0, 0, 1, 0, 4, 4, 1, 4, 4, 3, 0, 0, 0, 3, 4, 2, 3, 0, 1, 0, 2, 3, 1, 2, 0, 3, 3, 1, 4, 1, 0, 2, 0, 0, 2, 3, 3, 0, 3, 0, 0, 4, 2, 3, 3] pubkeycol787 = [2, 4, 4, 3, 4, 1, 4, 3, 3, 3, 1, 4, 1, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 1, 1, 2, 0, 2, 0, 0, 4, 3, 4, 3, 4, 1, 2, 1, 4, 1, 3, 4, 4, 2, 3, 1, 1, 3, 0, 1, 3, 4, 4, 4, 4, 2, 3, 1, 0, 4, 3, 0, 1, 4, 3, 2, 2, 3, 4, 1, 0, 1, 2, 1, 2, 2, 4, 4, 0, 3, 3, 0, 3, 2, 2, 0, 2, 0, 2, 1, 3, 4, 4, 1, 1, 3, 2, 0, 3, 4, 0, 0, 1, 3, 3, 0, 0, 2, 3, 3, 1, 1, 3, 3, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 3, 1, 3, 1, 0, 0, 0, 4, 2, 4, 1, 0, 0, 2, 4, 1, 4, 3, 1, 4, 2, 4, 2, 0, 4, 4, 4, 2, 1, 4, 0, 0, 3, 2, 0, 3, 4, 0, 3, 4, 1, 2, 1, 3, 3, 1, 3, 1, 0, 0, 2, 1, 3, 4, 3, 0, 3, 4, 0, 0, 1, 3, 0, 1, 4, 3, 4, 2, 1, 1, 1, 0, 0, 2, 3, 3, 2, 0, 4, 0, 2, 1, 0, 0, 3, 4, 4, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 4, 2, 2, 2, 3, 2, 4, 2, 1, 2, 1, 4, 2, 0, 1, 1, 0, 2, 1, 2, 4, 1, 3, 1, 2, 2, 0, 4, 4, 4, 0, 0, 4, 0, 2, 1, 4, 3, 1, 1, 1, 1, 4, 0, 3, 1, 1, 0, 1, 1, 4, 0, 1, 3, 1, 0, 2, 3, 0, 0, 1, 4, 2, 3, 2, 2, 0, 1, 3, 1, 4, 0, 2, 0, 4, 0, 3, 0, 2, 4, 3, 0, 3, 0, 3, 2, 2, 4, 1, 0, 0, 3, 3, 2, 3, 4, 2, 0, 3, 3, 1, 2, 3, 1, 2, 1, 1, 3, 2, 1, 1, 0, 3, 1, 2, 2, 3, 1, 0, 1, 3, 2, 1, 1, 3, 2, 3, 3, 1, 3, 1, 4, 0, 3, 1, 2, 3, 4, 1, 0, 1, 3, 3, 0, 0, 3, 0, 4, 1, 2, 2, 2, 4, 1, 3, 0, 4, 0, 0, 2, 0, 1, 0, 0, 4, 3, 2, 3, 1, 2, 4, 0, 0, 4, 0, 1, 3] pubkeycol788 = [4, 0, 3, 0, 2, 3, 1, 0, 4, 4, 1, 3, 4, 0, 1, 2, 2, 2, 2, 3, 1, 1, 0, 2, 1, 3, 4, 4, 2, 3, 4, 4, 2, 2, 4, 4, 3, 2, 0, 2, 1, 4, 1, 3, 3, 4, 2, 2, 3, 3, 1, 1, 3, 0, 2, 1, 2, 3, 3, 4, 0, 2, 1, 0, 3, 1, 2, 1, 4, 3, 4, 4, 1, 3, 3, 1, 0, 4, 1, 2, 4, 4, 1, 3, 1, 1, 2, 2, 1, 2, 1, 3, 3, 0, 0, 2, 3, 2, 0, 2, 0, 2, 2, 4, 2, 3, 4, 4, 1, 2, 4, 3, 2, 3, 3, 4, 1, 3, 4, 4, 0, 3, 1, 4, 3, 3, 3, 2, 4, 0, 3, 4, 3, 0, 4, 4, 3, 2, 4, 1, 2, 3, 1, 4, 1, 1, 0, 0, 0, 4, 3, 2, 1, 0, 4, 3, 2, 1, 1, 1, 0, 2, 0, 0, 2, 4, 3, 4, 0, 1, 3, 4, 3, 0, 0, 1, 2, 2, 4, 1, 0, 0, 4, 1, 2, 1, 4, 2, 0, 2, 0, 1, 3, 1, 1, 4, 4, 2, 4, 1, 0, 0, 4, 4, 1, 0, 1, 4, 3, 0, 3, 3, 4, 3, 1, 3, 4, 0, 2, 2, 3, 3, 1, 4, 2, 4, 4, 2, 3, 1, 1, 1, 3, 0, 4, 2, 2, 1, 3, 0, 3, 2, 4, 1, 3, 3, 0, 1, 0, 1, 1, 1, 4, 4, 0, 3, 3, 0, 0, 1, 3, 3, 3, 0, 2, 1, 1, 2, 1, 4, 1, 4, 1, 2, 0, 4, 2, 2, 3, 2, 4, 2, 1, 3, 1, 4, 3, 4, 0, 1, 1, 4, 0, 0, 3, 1, 4, 0, 2, 4, 4, 2, 2, 0, 1, 3, 1, 2, 3, 2, 0, 4, 0, 3, 4, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 3, 2, 1, 4, 0, 4, 0, 3, 4, 1, 0, 4, 4, 3, 4, 0, 1, 1, 3, 4, 0, 1, 1, 2, 0, 3, 1, 1, 0, 2, 0, 4, 4, 2, 2, 4, 2, 3, 0, 0, 3, 0, 0, 0, 3, 2, 0, 1, 2, 2, 4, 0, 4, 3, 3, 4, 4, 4, 0, 2, 0, 3, 3, 3, 2, 4, 0, 4, 0, 1, 2, 4, 4, 3] pubkeycol789 = [3, 2, 0, 0, 1, 1, 0, 3, 3, 4, 4, 2, 0, 4, 0, 0, 4, 4, 2, 1, 4, 0, 4, 3, 0, 1, 2, 0, 0, 1, 4, 2, 0, 0, 4, 1, 4, 2, 0, 2, 2, 0, 3, 2, 1, 3, 4, 0, 2, 4, 1, 2, 0, 3, 4, 2, 2, 3, 4, 2, 3, 0, 1, 4, 1, 1, 0, 1, 2, 3, 2, 4, 1, 1, 2, 2, 1, 1, 0, 3, 1, 1, 2, 1, 3, 1, 1, 3, 0, 2, 0, 4, 0, 1, 1, 4, 3, 2, 0, 1, 4, 0, 0, 0, 3, 3, 0, 4, 1, 4, 0, 4, 4, 4, 1, 1, 1, 1, 2, 0, 1, 3, 0, 4, 2, 1, 4, 2, 1, 2, 1, 4, 0, 1, 2, 3, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 3, 0, 4, 4, 0, 4, 2, 0, 1, 3, 2, 1, 4, 0, 4, 0, 2, 2, 1, 4, 0, 0, 4, 2, 2, 1, 4, 0, 3, 4, 1, 2, 4, 0, 0, 3, 4, 1, 4, 3, 3, 2, 3, 0, 0, 4, 4, 0, 2, 0, 0, 3, 2, 1, 4, 1, 1, 2, 0, 4, 1, 2, 2, 4, 0, 2, 4, 2, 3, 2, 0, 1, 2, 4, 0, 4, 0, 3, 1, 2, 1, 1, 1, 3, 0, 3, 2, 2, 0, 4, 0, 1, 1, 1, 4, 2, 4, 1, 2, 4, 4, 2, 4, 1, 0, 0, 2, 0, 3, 3, 2, 1, 1, 2, 0, 3, 1, 1, 0, 3, 2, 0, 2, 2, 0, 3, 3, 2, 0, 3, 0, 3, 3, 0, 2, 3, 2, 1, 3, 1, 0, 2, 2, 4, 4, 4, 0, 1, 3, 3, 2, 3, 2, 1, 2, 1, 3, 3, 0, 1, 3, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 4, 0, 2, 4, 2, 4, 3, 2, 2, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 3, 4, 0, 1, 2, 2, 1, 2, 3, 4, 0, 1, 1, 3, 3, 3, 0, 4, 4, 1, 2, 3, 0, 0, 3, 2, 1, 4, 0, 1, 4, 1, 1, 4, 3, 2, 0, 2, 0, 2, 2, 4, 0, 3, 3, 3, 0, 0, 3, 1, 2, 2, 1, 0, 4, 2, 0] pubkeycol790 = [2, 3, 1, 2, 0, 0, 2, 3, 0, 1, 1, 2, 2, 2, 0, 2, 4, 4, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 4, 0, 1, 3, 1, 0, 2, 4, 2, 0, 2, 1, 1, 4, 3, 3, 3, 2, 0, 0, 2, 4, 4, 1, 4, 4, 1, 3, 2, 2, 2, 0, 4, 4, 1, 1, 3, 3, 3, 2, 0, 0, 1, 4, 2, 0, 2, 1, 4, 0, 3, 3, 2, 3, 4, 1, 4, 3, 1, 0, 3, 3, 0, 3, 3, 2, 2, 4, 1, 4, 4, 4, 1, 1, 3, 0, 2, 1, 4, 4, 0, 0, 0, 4, 2, 2, 0, 1, 3, 4, 1, 1, 3, 2, 1, 4, 1, 0, 1, 1, 2, 1, 1, 3, 0, 1, 0, 1, 2, 1, 3, 1, 4, 3, 3, 0, 0, 2, 0, 4, 3, 3, 1, 1, 1, 4, 1, 4, 0, 1, 0, 0, 3, 1, 1, 1, 4, 0, 2, 0, 4, 4, 3, 3, 0, 0, 3, 4, 2, 1, 1, 0, 4, 0, 0, 1, 1, 3, 3, 3, 4, 3, 4, 1, 1, 0, 0, 4, 3, 1, 4, 0, 1, 3, 2, 4, 1, 1, 3, 3, 4, 1, 3, 3, 4, 4, 4, 3, 1, 4, 1, 0, 4, 1, 2, 3, 2, 0, 3, 0, 0, 0, 4, 4, 3, 2, 2, 0, 2, 1, 1, 4, 4, 4, 0, 3, 1, 0, 2, 3, 0, 0, 2, 3, 2, 4, 4, 3, 2, 2, 1, 2, 1, 4, 1, 1, 4, 0, 4, 3, 4, 3, 3, 2, 0, 3, 0, 0, 2, 3, 1, 3, 3, 1, 1, 4, 0, 3, 2, 3, 1, 2, 4, 4, 3, 1, 4, 1, 1, 4, 4, 3, 3, 2, 4, 4, 3, 0, 4, 0, 2, 2, 2, 3, 0, 1, 2, 2, 3, 4, 0, 0, 0, 4, 1, 1, 1, 0, 2, 4, 2, 4, 4, 2, 3, 3, 3, 2, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 0, 3, 1, 4, 0, 4, 3, 1, 2, 0, 4, 3, 0, 0, 4, 4, 3, 4, 4, 2, 0, 4, 3, 0, 2, 3, 2, 4, 3, 1, 2, 2, 2, 4, 2, 3, 1, 1, 4, 0, 4, 2, 4, 2, 1, 4, 1, 4, 0] pubkeycol791 = [1, 3, 1, 2, 1, 2, 2, 4, 4, 2, 1, 3, 3, 2, 2, 4, 3, 0, 3, 1, 1, 4, 0, 3, 3, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 4, 2, 1, 3, 3, 0, 3, 0, 4, 2, 1, 2, 4, 3, 3, 3, 1, 1, 2, 4, 3, 0, 3, 2, 0, 1, 1, 2, 2, 4, 0, 2, 0, 2, 0, 0, 0, 4, 0, 3, 1, 1, 1, 1, 3, 3, 1, 1, 2, 0, 0, 1, 2, 3, 1, 2, 2, 1, 3, 2, 4, 4, 0, 1, 2, 3, 0, 1, 4, 2, 0, 3, 3, 2, 3, 0, 2, 1, 2, 4, 0, 1, 2, 3, 2, 0, 4, 0, 1, 4, 4, 2, 1, 3, 3, 1, 0, 2, 0, 1, 2, 3, 1, 0, 2, 1, 0, 1, 0, 0, 3, 2, 1, 0, 4, 4, 3, 1, 1, 3, 2, 3, 1, 4, 4, 3, 0, 4, 4, 0, 0, 3, 4, 3, 2, 1, 4, 4, 4, 0, 1, 3, 4, 4, 4, 4, 0, 2, 4, 4, 0, 3, 3, 4, 0, 0, 4, 4, 1, 4, 0, 1, 1, 4, 1, 2, 2, 4, 0, 2, 2, 2, 3, 2, 0, 3, 3, 3, 3, 0, 0, 2, 4, 4, 1, 1, 0, 4, 2, 0, 3, 2, 4, 2, 3, 3, 3, 4, 4, 4, 1, 2, 4, 4, 0, 3, 1, 1, 4, 3, 3, 1, 3, 3, 0, 2, 2, 2, 3, 4, 2, 3, 2, 0, 4, 1, 4, 4, 3, 2, 3, 4, 2, 1, 0, 0, 3, 3, 0, 2, 3, 1, 4, 4, 1, 4, 4, 0, 3, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 4, 2, 3, 4, 4, 0, 3, 1, 3, 2, 3, 0, 4, 0, 4, 1, 3, 4, 0, 1, 4, 3, 0, 2, 2, 3, 0, 3, 2, 3, 2, 4, 4, 2, 0, 1, 2, 2, 2, 4, 3, 4, 1, 4, 3, 1, 1, 1, 2, 2, 3, 1, 4, 1, 4, 2, 1, 0, 0, 4, 1, 1, 1, 4, 0, 1, 1, 0, 0, 3, 1, 0, 4, 4, 0, 0, 3, 1, 4, 2, 2, 4, 3, 0, 3, 1, 3, 4, 2, 2, 0, 2, 1, 1, 3, 1, 3, 1, 4, 1, 0, 0, 4, 2] pubkeycol792 = [2, 0, 3, 0, 1, 4, 4, 1, 4, 3, 3, 2, 1, 3, 1, 1, 1, 0, 0, 1, 0, 3, 4, 1, 4, 2, 1, 0, 1, 3, 3, 3, 1, 1, 3, 4, 1, 2, 3, 3, 1, 3, 4, 4, 2, 1, 3, 2, 0, 0, 1, 2, 1, 2, 2, 3, 0, 3, 1, 2, 3, 1, 3, 0, 4, 2, 4, 1, 3, 0, 0, 2, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 3, 2, 0, 2, 4, 3, 1, 3, 4, 0, 4, 4, 1, 2, 1, 1, 0, 3, 2, 1, 2, 4, 1, 1, 4, 4, 0, 4, 0, 3, 4, 4, 0, 1, 4, 1, 1, 0, 0, 1, 1, 3, 2, 2, 1, 4, 1, 1, 4, 2, 1, 3, 0, 2, 4, 2, 2, 0, 1, 2, 0, 0, 3, 4, 2, 3, 0, 2, 3, 2, 2, 4, 1, 3, 0, 3, 0, 0, 0, 3, 1, 0, 3, 0, 1, 4, 0, 3, 4, 0, 4, 3, 0, 2, 4, 1, 1, 0, 2, 4, 2, 2, 0, 2, 4, 4, 1, 2, 3, 3, 2, 2, 4, 4, 3, 4, 3, 4, 2, 0, 1, 0, 1, 3, 4, 0, 1, 2, 1, 3, 0, 0, 3, 4, 1, 1, 0, 1, 4, 4, 3, 4, 4, 0, 0, 4, 3, 1, 2, 1, 1, 1, 0, 0, 0, 3, 3, 3, 4, 1, 3, 4, 4, 1, 2, 4, 4, 2, 3, 2, 1, 1, 1, 3, 2, 2, 2, 3, 4, 4, 2, 3, 2, 4, 3, 0, 4, 4, 2, 1, 1, 3, 4, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 4, 0, 4, 1, 1, 3, 2, 0, 4, 2, 0, 2, 3, 4, 3, 1, 0, 2, 4, 4, 4, 1, 0, 2, 4, 4, 3, 0, 4, 1, 4, 0, 2, 2, 3, 4, 3, 1, 0, 2, 4, 1, 1, 1, 1, 2, 4, 1, 2, 4, 1, 1, 0, 2, 3, 1, 3, 3, 0, 4, 3, 1, 0, 1, 3, 0, 0, 2, 1, 2, 4, 3, 2, 2, 2, 2, 0, 4, 0, 4, 0, 4, 3, 3, 4, 1, 1, 4, 0, 3, 4, 0, 1, 1, 4, 3, 0, 2, 2, 2] pubkeycol793 = [2, 2, 3, 3, 2, 4, 1, 3, 1, 2, 1, 3, 2, 0, 1, 4, 1, 4, 2, 1, 2, 2, 0, 3, 2, 3, 0, 4, 1, 1, 3, 2, 1, 4, 0, 2, 0, 4, 3, 0, 3, 2, 4, 0, 1, 4, 0, 3, 1, 0, 2, 3, 2, 1, 2, 4, 2, 2, 3, 0, 0, 2, 4, 0, 3, 4, 1, 3, 1, 2, 1, 2, 0, 4, 4, 1, 0, 4, 0, 0, 1, 4, 2, 1, 4, 2, 4, 4, 1, 0, 3, 2, 0, 4, 4, 0, 3, 1, 1, 1, 1, 3, 3, 2, 1, 1, 4, 2, 0, 1, 0, 1, 1, 4, 2, 0, 3, 3, 0, 3, 3, 3, 3, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 3, 2, 3, 3, 1, 1, 1, 2, 1, 0, 0, 0, 1, 4, 0, 0, 4, 1, 3, 2, 2, 3, 3, 4, 4, 2, 2, 0, 2, 3, 4, 4, 3, 4, 2, 4, 3, 0, 0, 4, 1, 1, 0, 4, 2, 0, 2, 1, 2, 3, 0, 2, 0, 1, 4, 3, 1, 4, 3, 1, 3, 3, 4, 1, 4, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 2, 3, 0, 0, 1, 0, 4, 1, 3, 4, 4, 0, 2, 3, 1, 1, 2, 2, 3, 2, 4, 0, 4, 0, 4, 4, 0, 3, 2, 1, 1, 4, 0, 2, 0, 0, 1, 1, 4, 2, 2, 4, 2, 4, 2, 3, 4, 0, 1, 4, 1, 3, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 3, 2, 1, 2, 3, 2, 4, 3, 4, 4, 1, 2, 1, 0, 1, 0, 3, 0, 4, 3, 1, 2, 1, 4, 1, 0, 4, 3, 4, 1, 3, 2, 0, 4, 2, 3, 1, 3, 0, 4, 2, 0, 1, 0, 3, 3, 2, 4, 3, 3, 0, 3, 3, 3, 3, 2, 0, 1, 4, 4, 1, 1, 0, 0, 1, 3, 4, 2, 2, 3, 2, 2, 4, 0, 3, 1, 3, 4, 2, 1, 0, 3, 3, 4, 0, 3, 4, 1, 3, 1, 4, 3, 2, 3, 0, 4, 4, 1, 3, 4, 3, 1, 1, 1, 2, 1, 4, 0, 4, 3, 3, 2, 0, 0, 1, 3, 1, 4, 1, 3, 4, 3] pubkeycol794 = [0, 4, 1, 3, 1, 2, 4, 4, 4, 4, 0, 3, 3, 2, 0, 0, 1, 3, 1, 3, 2, 2, 4, 2, 3, 1, 3, 3, 0, 4, 3, 4, 3, 2, 0, 4, 2, 3, 3, 4, 2, 0, 2, 1, 4, 0, 2, 1, 0, 1, 1, 3, 0, 3, 3, 0, 3, 3, 4, 0, 4, 2, 2, 4, 4, 0, 3, 4, 4, 4, 4, 3, 1, 1, 2, 2, 1, 3, 1, 1, 2, 2, 2, 1, 4, 0, 4, 0, 4, 4, 1, 0, 3, 3, 4, 3, 2, 0, 1, 3, 3, 4, 1, 3, 0, 2, 4, 4, 3, 2, 1, 0, 2, 2, 1, 3, 3, 3, 4, 1, 1, 2, 4, 2, 1, 4, 4, 1, 4, 3, 3, 0, 0, 3, 1, 1, 1, 1, 0, 4, 0, 3, 4, 0, 4, 3, 2, 3, 3, 1, 2, 2, 0, 1, 2, 4, 1, 1, 0, 1, 2, 4, 0, 3, 0, 4, 1, 0, 4, 1, 0, 3, 3, 4, 0, 2, 1, 4, 0, 4, 2, 1, 0, 3, 1, 2, 2, 4, 3, 3, 0, 0, 1, 4, 4, 1, 4, 3, 1, 4, 1, 4, 0, 0, 4, 2, 2, 4, 2, 1, 2, 2, 4, 2, 4, 3, 2, 1, 1, 1, 0, 2, 3, 1, 3, 3, 0, 1, 0, 1, 0, 3, 0, 0, 4, 3, 3, 1, 4, 1, 2, 1, 0, 0, 2, 3, 1, 3, 2, 4, 2, 0, 3, 2, 2, 0, 4, 4, 1, 3, 3, 4, 2, 3, 2, 2, 1, 0, 2, 0, 0, 3, 3, 0, 4, 1, 2, 2, 2, 3, 3, 3, 4, 0, 3, 4, 3, 3, 3, 0, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 3, 0, 4, 2, 4, 0, 2, 4, 4, 3, 0, 1, 3, 4, 2, 1, 0, 1, 1, 3, 1, 1, 1, 4, 2, 2, 2, 2, 1, 2, 0, 2, 0, 4, 2, 4, 0, 1, 0, 3, 2, 3, 4, 4, 2, 4, 3, 2, 4, 2, 0, 2, 0, 0, 2, 2, 4, 4, 2, 4, 4, 0, 2, 0, 2, 1, 2, 3, 1, 4, 3, 2, 1, 3, 2, 0, 2, 3, 4, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 1, 4, 1, 0, 3, 2, 1, 0, 2, 0] pubkeycol795 = [4, 2, 2, 1, 2, 3, 2, 3, 2, 0, 1, 3, 1, 3, 3, 1, 2, 2, 3, 1, 1, 0, 1, 4, 2, 0, 3, 4, 1, 2, 0, 1, 2, 4, 0, 2, 1, 3, 4, 1, 2, 1, 3, 1, 1, 3, 4, 3, 0, 3, 1, 4, 1, 4, 0, 3, 2, 4, 2, 4, 2, 3, 2, 3, 2, 1, 2, 2, 0, 1, 2, 0, 4, 3, 0, 0, 2, 2, 1, 1, 1, 3, 2, 3, 0, 4, 3, 4, 0, 4, 4, 4, 2, 4, 1, 0, 3, 1, 0, 2, 2, 3, 0, 4, 1, 1, 0, 1, 3, 0, 3, 2, 4, 2, 2, 3, 4, 2, 3, 3, 0, 3, 3, 0, 0, 1, 2, 0, 3, 3, 1, 3, 1, 4, 1, 0, 4, 3, 3, 1, 3, 1, 2, 3, 2, 1, 2, 3, 2, 4, 1, 1, 1, 2, 2, 4, 1, 3, 4, 1, 2, 1, 4, 1, 0, 2, 3, 2, 2, 4, 2, 3, 4, 0, 4, 1, 4, 4, 2, 0, 3, 1, 1, 4, 4, 2, 3, 2, 1, 2, 0, 1, 0, 0, 0, 4, 3, 0, 4, 1, 1, 3, 0, 2, 0, 1, 4, 2, 1, 4, 0, 2, 4, 2, 4, 4, 0, 2, 1, 3, 0, 2, 2, 0, 4, 3, 0, 3, 2, 4, 4, 3, 3, 3, 0, 2, 1, 0, 0, 0, 4, 2, 2, 4, 3, 2, 3, 3, 4, 4, 0, 2, 1, 0, 3, 3, 0, 4, 3, 0, 0, 4, 0, 0, 0, 3, 1, 1, 1, 0, 1, 3, 2, 4, 1, 3, 1, 2, 2, 0, 2, 3, 4, 2, 0, 2, 2, 0, 4, 4, 3, 3, 4, 1, 0, 4, 3, 0, 2, 0, 3, 4, 0, 0, 2, 1, 1, 1, 0, 1, 2, 3, 3, 2, 4, 2, 3, 3, 1, 0, 4, 3, 0, 0, 0, 3, 3, 2, 3, 3, 0, 2, 2, 2, 4, 2, 4, 2, 3, 4, 2, 0, 0, 3, 1, 3, 3, 2, 4, 4, 4, 3, 0, 2, 4, 3, 0, 3, 0, 2, 0, 1, 0, 2, 2, 2, 4, 2, 0, 3, 0, 3, 2, 1, 1, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 1, 1, 1, 1, 2, 3, 3, 1, 4, 1, 4, 0, 3, 3] pubkeycol796 = [1, 0, 1, 0, 0, 3, 1, 1, 2, 3, 3, 2, 1, 4, 4, 3, 2, 2, 4, 3, 4, 3, 4, 1, 3, 3, 0, 1, 3, 1, 0, 4, 3, 1, 0, 1, 0, 3, 1, 1, 0, 2, 4, 3, 3, 4, 0, 1, 2, 2, 3, 2, 0, 3, 4, 2, 1, 1, 0, 2, 4, 2, 2, 1, 1, 0, 0, 2, 4, 1, 2, 3, 0, 3, 1, 2, 4, 4, 2, 0, 4, 4, 2, 1, 1, 2, 2, 4, 2, 1, 1, 1, 2, 2, 3, 1, 1, 0, 2, 2, 3, 4, 4, 4, 3, 4, 2, 4, 2, 2, 3, 4, 3, 0, 2, 0, 1, 3, 4, 2, 1, 4, 2, 3, 1, 3, 0, 4, 2, 0, 1, 3, 1, 4, 2, 1, 2, 2, 4, 4, 1, 2, 1, 1, 1, 1, 3, 3, 0, 1, 2, 3, 1, 2, 4, 3, 0, 4, 0, 4, 3, 0, 1, 0, 3, 2, 3, 2, 4, 3, 2, 2, 4, 3, 0, 4, 4, 0, 0, 0, 1, 3, 0, 1, 4, 2, 2, 4, 2, 1, 2, 3, 0, 0, 0, 1, 0, 0, 1, 1, 3, 0, 1, 4, 4, 2, 0, 0, 0, 2, 1, 0, 2, 3, 0, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 3, 0, 2, 1, 3, 2, 2, 1, 3, 3, 3, 0, 3, 2, 0, 4, 0, 0, 0, 3, 2, 4, 2, 1, 4, 4, 0, 0, 2, 1, 3, 0, 1, 1, 4, 2, 2, 3, 2, 1, 3, 3, 1, 3, 3, 0, 0, 2, 2, 2, 0, 0, 2, 0, 4, 1, 1, 2, 2, 4, 4, 4, 4, 4, 4, 0, 4, 2, 1, 1, 4, 0, 4, 3, 1, 0, 3, 3, 3, 2, 3, 3, 3, 3, 3, 0, 4, 3, 1, 4, 2, 4, 3, 3, 3, 4, 2, 3, 1, 2, 1, 3, 0, 0, 3, 0, 0, 2, 4, 4, 4, 2, 1, 4, 0, 4, 3, 4, 1, 2, 2, 3, 3, 1, 3, 3, 4, 1, 2, 1, 2, 2, 1, 0, 3, 1, 1, 2, 2, 1, 2, 3, 1, 3, 0, 3, 3, 3, 0, 3, 1, 0, 0, 4, 0, 4, 1, 4, 2, 2, 1, 3, 0, 1, 2, 2, 2, 0, 4, 2, 4, 3, 1, 0] pubkeycol797 = [1, 1, 4, 2, 0, 2, 1, 2, 4, 1, 4, 0, 3, 0, 3, 2, 3, 3, 3, 1, 4, 3, 1, 2, 2, 2, 3, 1, 4, 4, 3, 2, 0, 2, 0, 0, 3, 1, 4, 1, 1, 1, 3, 0, 0, 4, 0, 0, 1, 4, 0, 1, 4, 3, 2, 4, 0, 1, 3, 3, 1, 3, 1, 1, 0, 4, 2, 0, 3, 2, 4, 2, 0, 3, 4, 2, 1, 4, 3, 2, 4, 2, 2, 0, 2, 4, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 3, 1, 0, 2, 4, 4, 1, 3, 4, 4, 2, 1, 0, 3, 2, 4, 3, 0, 2, 1, 4, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 4, 1, 2, 3, 1, 0, 3, 3, 1, 2, 1, 1, 1, 0, 4, 3, 4, 3, 2, 3, 1, 4, 1, 1, 3, 2, 4, 1, 0, 4, 4, 2, 0, 3, 0, 1, 0, 3, 2, 3, 4, 3, 1, 0, 4, 3, 3, 4, 4, 0, 1, 0, 0, 2, 3, 0, 1, 4, 1, 0, 4, 0, 2, 1, 1, 2, 0, 4, 4, 3, 2, 1, 0, 3, 4, 3, 2, 0, 1, 2, 4, 1, 4, 0, 4, 0, 3, 0, 3, 1, 2, 0, 2, 3, 0, 3, 2, 4, 2, 2, 2, 1, 4, 3, 0, 1, 1, 4, 3, 4, 3, 4, 0, 1, 1, 3, 4, 1, 1, 4, 4, 1, 2, 1, 3, 2, 1, 0, 2, 0, 4, 3, 2, 1, 1, 0, 1, 3, 3, 0, 4, 4, 2, 2, 3, 3, 3, 2, 4, 4, 2, 2, 3, 2, 1, 4, 1, 4, 3, 2, 2, 0, 2, 4, 0, 0, 0, 2, 3, 1, 4, 3, 0, 2, 3, 1, 2, 4, 0, 2, 3, 4, 4, 1, 3, 2, 0, 4, 2, 3, 3, 3, 2, 1, 2, 3, 3, 2, 4, 2, 3, 1, 0, 0, 1, 1, 0, 4, 0, 0, 2, 4, 3, 3, 2, 0, 0, 0, 4, 3, 0, 4, 3, 2, 3, 1, 3, 3, 2, 1, 3, 3, 0, 2, 2, 4, 0, 3, 1, 3, 1, 3, 4, 4, 2, 1, 4, 2, 4, 4, 0, 1, 2, 1, 2, 0, 0, 4, 4, 1, 2, 4, 3, 2, 4, 2, 4, 3, 4, 4, 3, 3] pubkeycol798 = [2, 1, 3, 0, 1, 2, 0, 2, 4, 4, 1, 2, 0, 2, 2, 4, 0, 0, 2, 0, 4, 4, 0, 2, 4, 3, 4, 2, 3, 0, 4, 0, 2, 2, 1, 4, 4, 1, 1, 0, 3, 2, 1, 4, 1, 4, 1, 2, 0, 0, 3, 1, 0, 0, 4, 3, 4, 0, 0, 2, 4, 3, 3, 4, 3, 0, 3, 2, 1, 2, 0, 3, 1, 2, 1, 4, 1, 2, 1, 0, 3, 4, 2, 0, 1, 1, 2, 3, 2, 2, 3, 4, 4, 4, 1, 2, 4, 4, 3, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 4, 3, 3, 0, 4, 3, 1, 4, 4, 0, 0, 4, 2, 1, 0, 4, 4, 1, 2, 2, 3, 0, 4, 3, 1, 4, 3, 1, 0, 4, 0, 2, 3, 0, 1, 4, 4, 2, 1, 2, 1, 4, 2, 1, 2, 0, 0, 2, 4, 1, 0, 3, 0, 3, 2, 4, 0, 4, 4, 2, 2, 1, 4, 3, 0, 1, 3, 0, 4, 2, 2, 3, 0, 3, 3, 1, 1, 4, 4, 2, 3, 0, 2, 2, 3, 3, 2, 3, 3, 2, 0, 3, 0, 1, 3, 4, 2, 4, 1, 1, 1, 3, 3, 1, 4, 2, 3, 3, 1, 0, 3, 0, 2, 3, 1, 2, 3, 1, 1, 3, 3, 0, 3, 2, 3, 0, 1, 1, 2, 3, 1, 2, 0, 3, 2, 4, 2, 0, 1, 2, 2, 1, 1, 2, 0, 3, 1, 2, 0, 3, 1, 3, 4, 1, 1, 1, 2, 0, 2, 2, 4, 2, 0, 1, 0, 0, 4, 4, 3, 3, 4, 1, 3, 3, 1, 1, 3, 1, 0, 1, 3, 3, 3, 2, 1, 3, 1, 4, 1, 2, 1, 4, 0, 2, 3, 4, 2, 1, 0, 4, 1, 3, 1, 4, 2, 3, 2, 0, 1, 1, 1, 3, 1, 0, 2, 4, 3, 3, 4, 1, 3, 3, 0, 4, 2, 4, 0, 0, 4, 3, 0, 4, 0, 4, 1, 3, 2, 0, 2, 2, 4, 3, 2, 2, 3, 2, 2, 0, 2, 0, 1, 3, 1, 1, 1, 3, 3, 3, 2, 2, 2, 0, 0, 2, 2, 4, 2, 2, 1, 0, 1, 0, 3, 1, 4, 1, 4, 2, 4, 2, 0, 4, 0, 3, 4, 2] pubkeycol799 = [3, 0, 1, 4, 1, 3, 3, 1, 4, 2, 0, 2, 4, 0, 3, 2, 0, 2, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 4, 1, 1, 0, 2, 2, 4, 1, 1, 1, 0, 3, 2, 4, 0, 4, 3, 0, 4, 2, 4, 3, 0, 3, 2, 4, 1, 3, 3, 3, 0, 2, 2, 0, 3, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 4, 2, 0, 1, 0, 3, 0, 2, 4, 4, 2, 2, 0, 4, 0, 1, 4, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 1, 3, 3, 0, 3, 0, 0, 3, 1, 2, 1, 2, 1, 4, 1, 4, 2, 2, 3, 4, 1, 4, 1, 1, 0, 2, 3, 0, 0, 0, 0, 4, 1, 4, 4, 4, 1, 4, 0, 1, 3, 1, 2, 2, 3, 3, 2, 0, 0, 2, 0, 4, 3, 3, 2, 4, 1, 0, 2, 1, 4, 0, 3, 4, 2, 0, 1, 3, 1, 2, 3, 2, 3, 2, 1, 1, 0, 4, 0, 2, 1, 1, 0, 1, 3, 3, 2, 2, 2, 2, 4, 4, 0, 4, 2, 2, 1, 0, 4, 4, 1, 3, 4, 3, 2, 0, 2, 0, 2, 3, 1, 4, 2, 3, 3, 1, 3, 0, 1, 3, 0, 1, 0, 2, 3, 4, 4, 2, 0, 0, 3, 2, 1, 4, 1, 4, 4, 1, 2, 3, 0, 1, 1, 3, 4, 2, 3, 2, 3, 4, 4, 0, 0, 2, 3, 4, 0, 0, 3, 0, 4, 3, 3, 0, 4, 0, 2, 1, 3, 0, 3, 1, 3, 4, 1, 1, 4, 0, 3, 2, 2, 3, 1, 2, 3, 1, 2, 3, 0, 4, 3, 0, 2, 3, 3, 4, 0, 4, 1, 2, 2, 3, 4, 0, 0, 1, 1, 3, 0, 1, 3, 2, 0, 0, 1, 3, 1, 4, 0, 3, 4, 4, 0, 1, 0, 1, 3, 0, 1, 4, 0, 1, 1, 3, 0, 2, 2, 0, 3, 3, 3, 1, 3, 3, 4, 2, 1, 2, 0, 4, 0, 2, 0, 0, 4, 0, 0, 0, 1, 3, 2, 2, 0, 0, 0, 2, 0, 4, 1, 2, 4, 3, 0, 2, 4, 3, 0, 4, 3, 1, 2, 3, 0, 4, 4, 3] pubkeycol800 = [3, 2, 4, 4, 0, 3, 0, 0, 1, 0, 0, 3, 1, 0, 0, 1, 2, 4, 1, 3, 1, 2, 0, 0, 3, 4, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 4, 3, 2, 1, 0, 1, 2, 0, 2, 1, 1, 4, 1, 0, 3, 3, 1, 1, 4, 0, 1, 2, 1, 1, 0, 0, 2, 4, 3, 1, 4, 4, 1, 0, 1, 4, 0, 2, 2, 1, 4, 4, 0, 4, 3, 0, 3, 3, 0, 1, 0, 3, 1, 2, 1, 2, 4, 1, 1, 3, 4, 3, 2, 2, 3, 1, 4, 4, 0, 2, 2, 0, 4, 1, 1, 1, 3, 3, 1, 0, 2, 3, 3, 3, 0, 2, 2, 4, 2, 4, 4, 1, 3, 4, 0, 1, 1, 4, 3, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 3, 3, 2, 3, 2, 4, 4, 4, 0, 2, 0, 4, 4, 0, 3, 4, 4, 3, 3, 1, 3, 1, 3, 2, 1, 0, 0, 2, 0, 4, 4, 0, 0, 3, 1, 2, 3, 2, 3, 2, 2, 0, 1, 4, 4, 0, 4, 1, 3, 1, 2, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 1, 4, 0, 0, 1, 3, 2, 2, 1, 4, 4, 1, 2, 1, 3, 0, 4, 0, 2, 4, 1, 4, 3, 1, 0, 0, 2, 1, 0, 3, 3, 2, 0, 4, 4, 4, 2, 4, 3, 0, 0, 2, 1, 1, 3, 1, 4, 2, 3, 4, 4, 1, 0, 0, 2, 2, 3, 2, 3, 1, 0, 4, 3, 4, 4, 2, 3, 0, 0, 1, 1, 4, 3, 3, 2, 1, 1, 0, 1, 2, 1, 1, 4, 0, 3, 1, 4, 2, 2, 1, 0, 0, 3, 1, 3, 2, 0, 1, 2, 3, 4, 4, 4, 1, 4, 3, 3, 1, 0, 0, 4, 2, 4, 0, 1, 1, 3, 4, 0, 2, 3, 1, 0, 2, 3, 2, 3, 0, 0, 2, 2, 3, 3, 0, 1, 3, 4, 3, 2, 0, 3, 3, 2, 3, 2, 4, 1, 1, 1, 4, 1, 2, 3, 4, 2, 0, 2, 4, 2, 2, 1, 4, 1, 0, 3, 2, 2, 3, 4, 4, 0, 1, 3, 3, 1, 4, 3, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol801 = [0, 4, 1, 3, 0, 2, 4, 3, 4, 4, 0, 0, 4, 3, 2, 0, 0, 2, 0, 3, 1, 4, 0, 0, 4, 0, 1, 0, 0, 4, 3, 0, 1, 3, 3, 3, 1, 2, 2, 0, 2, 4, 2, 2, 3, 2, 0, 4, 2, 1, 1, 4, 3, 4, 0, 4, 3, 4, 1, 1, 2, 2, 2, 4, 0, 2, 4, 3, 4, 4, 1, 2, 4, 0, 3, 4, 1, 4, 1, 2, 3, 1, 1, 3, 0, 3, 2, 3, 3, 4, 3, 3, 0, 3, 2, 3, 1, 4, 1, 2, 1, 1, 4, 2, 3, 3, 0, 1, 4, 0, 2, 4, 4, 3, 3, 1, 1, 0, 3, 2, 3, 2, 2, 3, 1, 1, 1, 2, 1, 2, 3, 1, 4, 0, 4, 2, 2, 1, 1, 3, 3, 4, 0, 1, 0, 4, 0, 3, 3, 0, 3, 0, 4, 2, 3, 4, 3, 3, 2, 1, 1, 0, 4, 4, 4, 1, 3, 0, 4, 3, 0, 4, 2, 1, 2, 4, 2, 3, 4, 3, 0, 0, 0, 0, 4, 2, 3, 3, 2, 1, 1, 0, 0, 4, 3, 1, 3, 3, 0, 2, 4, 2, 3, 3, 2, 2, 0, 1, 4, 3, 2, 2, 2, 2, 2, 4, 0, 3, 3, 3, 0, 2, 2, 4, 0, 1, 4, 0, 2, 1, 3, 2, 1, 0, 3, 1, 3, 4, 0, 3, 0, 3, 2, 2, 3, 2, 2, 2, 1, 3, 1, 2, 4, 2, 2, 3, 4, 4, 3, 2, 2, 0, 1, 4, 3, 4, 1, 0, 4, 0, 3, 3, 3, 1, 3, 0, 1, 4, 4, 4, 4, 0, 2, 1, 2, 0, 0, 4, 0, 1, 4, 0, 4, 3, 3, 3, 1, 4, 3, 2, 3, 4, 2, 2, 3, 4, 0, 4, 3, 2, 2, 4, 0, 1, 0, 3, 2, 2, 0, 4, 4, 1, 3, 1, 0, 3, 4, 2, 3, 4, 1, 1, 0, 1, 3, 0, 3, 3, 1, 4, 3, 1, 2, 3, 1, 0, 0, 0, 4, 0, 4, 2, 1, 3, 2, 4, 2, 4, 3, 4, 4, 2, 3, 4, 0, 2, 1, 3, 1, 1, 0, 4, 0, 1, 3, 4, 3, 2, 1, 1, 2, 4, 2, 3, 2, 1, 3, 2, 1, 4, 1, 3, 4, 3, 3, 3, 3, 2, 4, 1] pubkeycol802 = [4, 4, 2, 2, 0, 4, 2, 1, 2, 1, 1, 4, 1, 3, 3, 1, 3, 2, 4, 3, 1, 2, 0, 3, 2, 4, 0, 0, 3, 4, 2, 2, 3, 3, 1, 1, 3, 0, 3, 4, 0, 3, 0, 0, 2, 0, 4, 0, 3, 4, 3, 0, 1, 3, 3, 3, 2, 0, 2, 4, 3, 4, 2, 0, 3, 2, 1, 2, 3, 2, 0, 2, 4, 0, 4, 0, 3, 0, 1, 3, 3, 1, 4, 2, 0, 4, 0, 0, 1, 1, 4, 2, 4, 4, 0, 1, 1, 0, 2, 0, 4, 4, 1, 1, 1, 1, 2, 3, 1, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 2, 3, 0, 4, 3, 0, 4, 4, 0, 1, 4, 4, 0, 1, 0, 0, 1, 1, 3, 2, 4, 2, 1, 2, 4, 3, 1, 2, 4, 3, 3, 4, 3, 1, 1, 2, 4, 1, 3, 4, 1, 0, 3, 4, 2, 2, 1, 0, 2, 4, 1, 3, 3, 2, 1, 4, 0, 0, 3, 3, 0, 0, 4, 1, 2, 3, 2, 2, 0, 1, 1, 0, 2, 1, 1, 4, 1, 4, 3, 3, 3, 0, 3, 4, 2, 3, 0, 0, 4, 0, 3, 1, 4, 2, 0, 2, 4, 3, 4, 2, 4, 0, 3, 0, 2, 2, 0, 2, 2, 1, 4, 0, 3, 1, 1, 3, 0, 2, 2, 0, 4, 4, 1, 3, 0, 1, 3, 1, 3, 2, 1, 3, 3, 4, 0, 1, 4, 1, 1, 4, 2, 2, 1, 3, 0, 1, 1, 1, 2, 1, 2, 3, 1, 0, 2, 4, 3, 1, 1, 1, 0, 1, 4, 0, 1, 3, 2, 4, 4, 3, 0, 4, 4, 1, 0, 0, 4, 3, 2, 3, 3, 3, 4, 3, 1, 3, 1, 2, 0, 1, 3, 4, 0, 3, 1, 3, 2, 3, 3, 2, 1, 4, 2, 4, 0, 2, 1, 4, 1, 4, 1, 3, 4, 0, 0, 1, 0, 0, 1, 3, 4, 1, 4, 3, 2, 4, 3, 4, 3, 1, 2, 3, 4, 1, 2, 2, 0, 4, 3, 2, 2, 2, 3, 2, 1, 3, 4, 2, 4, 0, 1, 3, 2, 1, 1, 2, 4, 1, 2, 3, 4, 1, 3, 0, 4, 0, 1, 1, 1, 0, 4, 0, 1, 2, 4, 3, 2, 4, 4, 3] pubkeycol803 = [0, 3, 3, 0, 4, 0, 0, 1, 2, 2, 1, 3, 2, 2, 3, 2, 4, 1, 3, 4, 1, 3, 3, 2, 0, 1, 2, 0, 2, 4, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 3, 3, 4, 4, 4, 0, 0, 3, 1, 3, 1, 1, 3, 1, 0, 0, 2, 4, 3, 3, 3, 1, 4, 0, 4, 4, 2, 2, 3, 3, 4, 3, 4, 2, 4, 3, 1, 0, 1, 2, 0, 2, 4, 3, 4, 4, 0, 0, 4, 3, 3, 4, 3, 2, 0, 3, 0, 0, 1, 0, 4, 4, 2, 4, 1, 2, 1, 3, 2, 4, 1, 1, 1, 3, 4, 3, 1, 4, 0, 0, 2, 1, 0, 4, 0, 4, 1, 0, 1, 1, 0, 3, 0, 3, 2, 2, 1, 1, 1, 4, 3, 4, 0, 1, 0, 0, 3, 3, 2, 2, 2, 0, 2, 4, 3, 0, 4, 0, 1, 1, 1, 0, 3, 3, 4, 3, 3, 2, 3, 1, 0, 2, 4, 3, 2, 4, 1, 4, 1, 0, 4, 2, 1, 2, 4, 1, 1, 1, 2, 1, 0, 3, 2, 2, 0, 4, 3, 3, 3, 3, 4, 0, 2, 3, 3, 3, 3, 2, 0, 1, 0, 1, 0, 2, 4, 3, 2, 1, 0, 0, 3, 4, 3, 2, 0, 0, 4, 3, 0, 2, 0, 2, 0, 0, 2, 1, 4, 4, 4, 3, 0, 2, 2, 1, 0, 3, 2, 3, 3, 2, 0, 4, 3, 0, 1, 2, 0, 4, 2, 4, 1, 0, 1, 4, 4, 2, 4, 2, 1, 4, 2, 2, 0, 1, 4, 2, 3, 0, 4, 3, 1, 3, 0, 4, 1, 1, 1, 3, 2, 1, 3, 0, 2, 4, 0, 3, 4, 4, 1, 2, 1, 4, 1, 4, 3, 3, 4, 0, 1, 4, 0, 0, 3, 0, 3, 4, 4, 4, 3, 4, 2, 0, 4, 0, 1, 1, 0, 1, 4, 3, 4, 1, 4, 2, 4, 2, 0, 1, 1, 3, 1, 2, 0, 4, 4, 3, 0, 3, 2, 1, 0, 4, 2, 4, 1, 1, 2, 2, 3, 2, 2, 3, 1, 4, 1, 3, 1, 0, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 2, 3, 3, 0, 0, 0, 4] pubkeycol804 = [3, 3, 2, 1, 1, 4, 3, 1, 4, 2, 2, 3, 1, 4, 1, 3, 2, 1, 1, 4, 3, 3, 1, 2, 1, 1, 0, 3, 0, 1, 2, 0, 3, 3, 3, 2, 0, 3, 4, 4, 3, 0, 0, 3, 2, 1, 3, 0, 2, 4, 2, 3, 0, 3, 2, 1, 2, 4, 4, 4, 0, 4, 3, 4, 0, 3, 0, 0, 0, 3, 0, 0, 0, 1, 4, 2, 3, 4, 4, 1, 2, 1, 4, 4, 2, 3, 4, 4, 2, 3, 4, 0, 4, 3, 0, 0, 3, 0, 3, 2, 2, 1, 0, 4, 4, 0, 3, 2, 0, 4, 2, 1, 4, 0, 3, 3, 1, 1, 4, 1, 2, 0, 2, 1, 2, 4, 0, 1, 4, 2, 3, 1, 1, 3, 4, 3, 3, 0, 2, 2, 4, 0, 4, 0, 1, 0, 4, 0, 0, 0, 4, 4, 2, 4, 2, 2, 0, 2, 1, 3, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 4, 3, 1, 3, 1, 3, 2, 3, 3, 0, 3, 0, 0, 1, 2, 0, 2, 3, 1, 3, 3, 3, 4, 4, 4, 4, 2, 0, 4, 4, 2, 1, 1, 3, 3, 3, 1, 4, 2, 0, 4, 4, 1, 3, 0, 2, 1, 4, 2, 2, 1, 2, 2, 3, 3, 4, 1, 2, 0, 4, 3, 0, 1, 2, 2, 3, 3, 3, 1, 1, 2, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 0, 2, 4, 2, 1, 3, 2, 1, 2, 1, 3, 1, 2, 4, 3, 3, 4, 4, 4, 4, 0, 0, 2, 3, 0, 1, 4, 0, 0, 2, 3, 2, 4, 3, 4, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 3, 4, 0, 1, 0, 0, 3, 1, 1, 4, 0, 0, 4, 1, 2, 3, 0, 0, 3, 2, 2, 0, 1, 3, 3, 1, 2, 4, 3, 4, 3, 3, 3, 3, 2, 1, 3, 0, 2, 0, 4, 1, 3, 4, 4, 1, 2, 2, 3, 3, 3, 4, 4, 2, 2, 4, 1, 1, 1, 1, 0, 3, 4, 3, 4, 4, 2, 0, 1, 0, 1, 1, 4, 3, 2, 0, 3, 0, 3, 4, 0, 3, 4, 1, 3, 0, 1, 0, 4, 4, 1, 1, 0, 0, 3, 3, 2, 1, 0, 1, 0, 0, 2] pubkeycol805 = [1, 2, 2, 3, 2, 1, 3, 3, 3, 2, 4, 1, 1, 1, 2, 1, 1, 1, 4, 3, 1, 0, 3, 1, 4, 3, 2, 2, 0, 4, 3, 2, 0, 1, 3, 0, 1, 0, 4, 2, 3, 3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 3, 3, 1, 4, 3, 4, 0, 0, 3, 3, 2, 0, 4, 0, 3, 4, 0, 0, 4, 0, 1, 0, 1, 2, 1, 2, 4, 3, 2, 2, 0, 0, 0, 3, 1, 0, 4, 1, 1, 3, 1, 0, 2, 2, 1, 0, 3, 3, 2, 1, 1, 4, 4, 2, 4, 4, 3, 0, 0, 3, 1, 3, 2, 2, 4, 4, 1, 1, 2, 4, 3, 0, 2, 2, 3, 4, 0, 1, 1, 0, 1, 3, 2, 4, 4, 3, 1, 3, 2, 4, 2, 0, 2, 4, 3, 2, 2, 4, 4, 1, 2, 2, 3, 1, 0, 0, 2, 4, 4, 0, 4, 3, 0, 0, 0, 0, 1, 3, 1, 4, 0, 3, 3, 0, 2, 2, 0, 3, 4, 1, 0, 2, 2, 4, 0, 4, 2, 1, 3, 4, 0, 0, 2, 4, 2, 3, 0, 4, 2, 1, 0, 4, 1, 4, 4, 4, 3, 2, 0, 3, 2, 0, 3, 0, 1, 1, 3, 1, 3, 4, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 3, 4, 3, 0, 4, 3, 2, 0, 4, 0, 2, 1, 0, 1, 0, 2, 0, 4, 0, 4, 1, 4, 2, 2, 2, 1, 4, 3, 3, 1, 1, 1, 0, 0, 2, 2, 1, 2, 4, 3, 2, 1, 1, 4, 4, 0, 3, 3, 2, 2, 3, 0, 1, 0, 4, 2, 3, 0, 2, 4, 3, 4, 3, 3, 2, 1, 0, 4, 1, 3, 1, 4, 2, 2, 0, 3, 4, 3, 4, 3, 1, 2, 4, 2, 0, 2, 1, 0, 3, 3, 0, 2, 0, 0, 2, 3, 4, 1, 2, 2, 4, 4, 4, 2, 1, 4, 3, 1, 3, 0, 3, 2, 1, 2, 0, 1, 4, 2, 3, 3, 4, 4, 0, 2, 4, 0, 1, 3, 2, 1, 1, 0, 4, 3, 0, 4, 4, 0, 2, 4, 2, 0, 3, 0, 4, 4, 2, 2, 1, 4, 2, 1, 2, 2, 2, 3, 3, 3, 1, 1, 3, 2, 2, 0, 3, 2] pubkeycol806 = [1, 3, 2, 3, 1, 2, 4, 3, 2, 0, 4, 3, 2, 1, 0, 2, 4, 0, 0, 1, 3, 0, 0, 1, 1, 1, 1, 4, 3, 4, 0, 4, 4, 4, 4, 3, 2, 1, 4, 0, 1, 3, 4, 0, 0, 2, 3, 4, 3, 2, 1, 0, 3, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 3, 2, 2, 1, 0, 2, 0, 4, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 3, 4, 2, 2, 2, 1, 3, 3, 3, 3, 1, 2, 3, 4, 0, 0, 0, 3, 2, 1, 4, 0, 4, 2, 1, 0, 1, 3, 3, 2, 1, 3, 2, 2, 3, 1, 3, 0, 0, 3, 1, 2, 1, 3, 3, 4, 3, 1, 2, 0, 4, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 3, 0, 4, 4, 2, 4, 2, 4, 4, 2, 0, 2, 3, 1, 3, 0, 0, 1, 0, 3, 3, 4, 0, 3, 3, 3, 1, 0, 0, 4, 0, 3, 2, 1, 3, 2, 2, 0, 2, 0, 3, 2, 0, 3, 2, 2, 0, 2, 3, 1, 1, 3, 4, 1, 4, 4, 4, 4, 0, 2, 2, 2, 3, 0, 1, 3, 1, 1, 1, 4, 4, 2, 4, 2, 3, 1, 0, 2, 2, 3, 1, 1, 4, 1, 0, 0, 2, 0, 3, 0, 4, 4, 2, 4, 4, 3, 2, 0, 4, 3, 3, 3, 0, 1, 3, 3, 4, 3, 0, 2, 3, 3, 1, 2, 3, 3, 1, 1, 3, 3, 4, 3, 0, 4, 0, 4, 1, 1, 0, 0, 2, 3, 0, 1, 3, 3, 4, 0, 1, 0, 2, 1, 4, 1, 3, 4, 0, 3, 3, 1, 2, 0, 2, 1, 0, 1, 3, 0, 0, 2, 2, 1, 2, 3, 4, 4, 0, 3, 1, 0, 0, 1, 0, 0, 1, 0, 4, 1, 4, 0, 2, 4, 0, 1, 4, 0, 3, 3, 4, 1, 0, 4, 0, 4, 3, 0, 2, 3, 0, 4, 2, 4, 0, 2, 0, 1, 2, 0, 0, 2, 2, 3, 4, 0, 2, 2, 0, 4, 0, 1, 2, 4, 1, 4, 3, 2, 3, 0, 4, 1, 4, 1, 4, 2, 4, 1, 3, 0, 3, 4, 1, 3, 1, 0, 3, 1, 2, 2, 2, 2, 3, 1, 3, 4, 1] pubkeycol807 = [2, 4, 3, 0, 3, 4, 3, 2, 3, 4, 2, 3, 2, 2, 2, 0, 3, 0, 1, 3, 1, 4, 4, 3, 1, 4, 1, 1, 0, 4, 2, 2, 0, 0, 2, 1, 4, 1, 1, 0, 4, 0, 4, 2, 4, 4, 1, 2, 3, 4, 3, 2, 2, 0, 0, 3, 1, 3, 0, 4, 4, 4, 2, 1, 1, 2, 4, 1, 4, 4, 4, 2, 4, 2, 2, 4, 3, 0, 4, 4, 3, 1, 4, 3, 0, 3, 4, 3, 1, 4, 0, 0, 3, 4, 2, 2, 1, 0, 4, 3, 2, 2, 4, 4, 0, 1, 0, 1, 0, 2, 0, 0, 4, 0, 4, 3, 4, 2, 0, 4, 1, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 4, 0, 2, 2, 4, 0, 2, 2, 1, 4, 4, 1, 0, 2, 1, 2, 4, 3, 1, 1, 3, 3, 4, 2, 1, 3, 2, 4, 2, 2, 2, 1, 3, 3, 3, 2, 4, 2, 3, 2, 4, 2, 2, 4, 4, 2, 0, 0, 3, 0, 0, 2, 2, 3, 4, 4, 4, 3, 2, 2, 0, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 2, 1, 0, 0, 2, 3, 4, 1, 2, 4, 0, 2, 4, 3, 0, 2, 1, 4, 3, 3, 0, 1, 2, 0, 2, 3, 0, 0, 4, 0, 3, 0, 0, 3, 0, 4, 2, 0, 0, 1, 1, 4, 4, 2, 3, 4, 3, 0, 4, 0, 1, 1, 0, 2, 4, 2, 3, 2, 1, 2, 0, 4, 3, 3, 0, 2, 1, 3, 1, 1, 4, 3, 2, 3, 1, 3, 3, 2, 3, 2, 0, 0, 2, 0, 4, 4, 4, 4, 2, 0, 3, 4, 0, 0, 0, 1, 4, 2, 3, 4, 0, 4, 4, 1, 4, 4, 4, 4, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 1, 1, 3, 1, 2, 1, 1, 1, 3, 2, 3, 1, 3, 4, 4, 4, 0, 3, 0, 2, 3, 4, 3, 1, 4, 4, 4, 3, 0, 0, 1, 0, 1, 3, 4, 2, 1, 0, 4, 2, 2, 3, 4, 3, 2, 0, 3, 3, 3, 3, 4, 0, 2, 1, 1, 3, 1, 3, 1, 1, 4, 1, 4, 1, 1, 2, 4] pubkeycol808 = [0, 4, 1, 1, 4, 0, 1, 0, 3, 0, 3, 0, 3, 0, 1, 2, 4, 0, 3, 1, 0, 1, 3, 2, 0, 4, 4, 2, 4, 0, 0, 0, 2, 4, 0, 0, 2, 4, 4, 1, 0, 4, 4, 2, 1, 4, 4, 0, 2, 1, 1, 0, 2, 2, 4, 3, 0, 3, 3, 1, 4, 1, 3, 2, 0, 2, 0, 4, 1, 1, 2, 1, 1, 0, 4, 0, 4, 1, 4, 4, 0, 0, 2, 2, 4, 2, 1, 4, 3, 1, 4, 0, 3, 4, 4, 0, 2, 1, 2, 1, 3, 1, 0, 4, 1, 1, 3, 3, 3, 1, 4, 2, 3, 4, 2, 2, 2, 2, 3, 2, 3, 4, 1, 0, 2, 2, 0, 4, 2, 2, 4, 0, 0, 1, 1, 0, 3, 1, 0, 1, 3, 0, 3, 4, 3, 2, 4, 1, 4, 0, 2, 3, 4, 4, 4, 1, 1, 1, 0, 3, 0, 0, 2, 1, 2, 0, 3, 3, 0, 1, 4, 2, 4, 0, 0, 0, 2, 2, 2, 3, 2, 3, 3, 2, 3, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 0, 2, 2, 4, 0, 1, 3, 0, 4, 4, 2, 1, 0, 1, 0, 3, 0, 2, 1, 2, 1, 4, 1, 2, 2, 2, 4, 2, 0, 0, 1, 3, 2, 1, 3, 3, 2, 1, 4, 1, 0, 1, 4, 3, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 4, 3, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 4, 0, 3, 3, 1, 0, 4, 4, 3, 1, 2, 1, 2, 0, 4, 3, 0, 1, 0, 3, 2, 1, 4, 0, 2, 1, 0, 3, 1, 1, 4, 4, 1, 2, 0, 0, 1, 3, 1, 3, 0, 0, 3, 3, 4, 1, 4, 4, 1, 1, 3, 1, 4, 3, 1, 1, 1, 0, 4, 0, 2, 3, 0, 3, 0, 1, 0, 1, 3, 1, 3, 2, 2, 0, 1, 3, 1, 4, 3, 1, 4, 3, 4, 3, 2, 1, 4, 1, 0, 0, 0, 0, 0, 2, 2, 1, 3, 2, 1, 1, 4, 4, 1, 3, 2, 0, 0, 4, 3, 1, 1, 2, 4, 3, 1, 4, 0, 4, 1, 0, 1, 0, 0, 2, 0, 4, 2, 1, 4, 1, 0, 2, 2, 1, 4, 0, 2, 0, 3] pubkeycol809 = [0, 1, 2, 1, 2, 0, 2, 3, 3, 3, 3, 3, 4, 1, 1, 3, 2, 2, 0, 4, 3, 1, 2, 2, 3, 1, 1, 4, 0, 0, 2, 0, 2, 1, 3, 2, 0, 3, 0, 4, 1, 3, 0, 0, 0, 1, 4, 4, 1, 1, 3, 3, 1, 1, 0, 2, 4, 3, 1, 4, 3, 3, 2, 1, 4, 3, 3, 1, 3, 4, 1, 4, 4, 2, 4, 4, 4, 2, 4, 1, 2, 2, 1, 3, 0, 3, 2, 4, 0, 1, 2, 3, 4, 1, 4, 1, 3, 2, 1, 3, 0, 4, 4, 0, 3, 1, 1, 2, 0, 0, 4, 3, 4, 4, 0, 1, 1, 0, 0, 2, 4, 4, 2, 0, 3, 0, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 1, 1, 0, 0, 0, 3, 1, 1, 4, 0, 0, 0, 3, 0, 2, 2, 4, 1, 0, 1, 2, 2, 2, 0, 4, 2, 4, 3, 4, 2, 1, 1, 1, 1, 4, 3, 1, 0, 1, 3, 4, 4, 2, 2, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 2, 0, 1, 0, 0, 3, 0, 2, 1, 1, 1, 1, 0, 2, 3, 0, 1, 3, 2, 4, 0, 3, 1, 3, 0, 1, 0, 4, 4, 0, 4, 2, 3, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 3, 4, 0, 3, 3, 2, 2, 3, 3, 1, 1, 1, 2, 0, 2, 0, 1, 3, 2, 3, 3, 3, 2, 3, 1, 0, 3, 0, 3, 1, 0, 4, 4, 1, 1, 0, 0, 1, 0, 0, 0, 0, 4, 0, 2, 4, 0, 2, 4, 1, 1, 0, 4, 0, 0, 2, 2, 3, 2, 1, 0, 3, 1, 0, 3, 1, 0, 2, 1, 3, 0, 3, 4, 2, 3, 4, 4, 1, 2, 2, 3, 3, 3, 1, 0, 2, 2, 0, 0, 0, 1, 4, 0, 2, 4, 0, 4, 1, 2, 4, 2, 2, 1, 0, 4, 4, 4, 0, 1, 3, 3, 1, 2, 4, 1, 4, 3, 2, 2, 2, 3, 1, 2, 2, 0, 0, 4, 0, 2, 3, 3, 3, 4, 4, 4, 2, 0, 1, 4, 2, 2, 1, 3, 2, 3, 4, 3, 4, 3, 1, 4, 2, 2, 1, 0, 2, 1, 4, 4, 1, 0, 0, 0, 0, 4, 1] pubkeycol810 = [0, 0, 3, 0, 0, 1, 2, 0, 2, 1, 2, 4, 4, 4, 0, 4, 0, 2, 3, 4, 2, 3, 4, 4, 2, 3, 1, 2, 3, 2, 1, 4, 4, 4, 0, 2, 0, 0, 1, 3, 2, 0, 0, 4, 3, 2, 2, 1, 4, 2, 4, 2, 3, 1, 1, 0, 0, 0, 4, 3, 4, 1, 0, 3, 4, 2, 2, 1, 0, 2, 2, 1, 1, 4, 0, 3, 0, 4, 2, 0, 1, 1, 1, 0, 0, 1, 4, 0, 0, 4, 2, 2, 1, 3, 2, 4, 1, 0, 4, 3, 2, 1, 2, 4, 3, 2, 0, 3, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 3, 0, 0, 1, 2, 3, 3, 3, 4, 2, 1, 3, 4, 2, 0, 2, 2, 3, 1, 4, 4, 2, 0, 3, 0, 3, 3, 2, 2, 2, 1, 0, 4, 3, 3, 3, 2, 3, 1, 2, 0, 4, 1, 0, 3, 4, 1, 1, 4, 0, 4, 4, 2, 2, 0, 2, 4, 2, 3, 3, 4, 1, 0, 3, 3, 4, 1, 4, 0, 0, 1, 3, 3, 0, 2, 3, 2, 1, 2, 2, 4, 1, 2, 0, 1, 0, 2, 3, 2, 4, 2, 1, 4, 4, 3, 3, 4, 1, 2, 2, 0, 3, 0, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 4, 1, 3, 1, 4, 2, 0, 0, 4, 0, 0, 0, 2, 0, 0, 4, 0, 4, 3, 2, 1, 1, 3, 2, 3, 3, 0, 2, 3, 1, 0, 3, 3, 3, 3, 2, 4, 3, 0, 1, 1, 2, 1, 2, 3, 1, 4, 4, 4, 4, 3, 0, 0, 3, 1, 4, 2, 2, 0, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 4, 1, 3, 0, 2, 1, 1, 4, 2, 0, 3, 2, 4, 2, 4, 2, 4, 4, 4, 1, 0, 3, 4, 1, 4, 4, 3, 0, 1, 3, 2, 0, 2, 0, 2, 2, 3, 3, 2, 1, 4, 3, 0, 0, 4, 4, 2, 4, 4, 4, 4, 2, 4, 3, 4, 3, 0, 4, 3, 2, 3, 2, 3, 4, 0, 4, 1, 0, 0, 0, 4, 2, 3, 3, 1, 4, 0, 2, 3, 2, 0, 3, 3, 0, 2, 3, 1, 2, 3, 4, 0] pubkeycol811 = [1, 0, 1, 2, 1, 1, 3, 0, 1, 1, 4, 0, 2, 1, 4, 0, 3, 3, 0, 4, 3, 1, 3, 4, 1, 0, 3, 1, 2, 1, 3, 4, 0, 1, 2, 2, 2, 4, 2, 2, 1, 4, 1, 3, 1, 2, 3, 2, 4, 4, 0, 3, 3, 0, 1, 1, 3, 2, 3, 4, 2, 3, 1, 0, 0, 3, 0, 3, 1, 4, 1, 2, 0, 1, 4, 4, 3, 4, 1, 3, 0, 4, 0, 0, 3, 1, 1, 2, 0, 4, 4, 1, 0, 1, 0, 2, 2, 2, 1, 0, 3, 4, 0, 3, 1, 1, 2, 2, 0, 1, 2, 1, 4, 4, 0, 4, 1, 3, 2, 4, 3, 1, 4, 0, 1, 0, 4, 4, 2, 2, 0, 3, 2, 2, 4, 2, 4, 0, 3, 2, 2, 4, 1, 1, 3, 2, 2, 2, 1, 0, 2, 4, 1, 1, 0, 3, 4, 0, 4, 3, 3, 2, 0, 2, 1, 2, 0, 4, 3, 2, 0, 1, 0, 4, 1, 2, 1, 1, 1, 4, 2, 0, 3, 2, 2, 4, 0, 3, 1, 0, 1, 2, 3, 2, 4, 0, 3, 1, 1, 1, 1, 2, 0, 1, 2, 3, 1, 3, 4, 4, 4, 1, 0, 2, 2, 4, 3, 1, 0, 3, 1, 0, 2, 3, 0, 2, 3, 1, 3, 4, 2, 3, 3, 0, 0, 0, 4, 4, 4, 2, 1, 4, 3, 4, 1, 3, 3, 1, 0, 0, 0, 0, 2, 1, 3, 0, 1, 2, 3, 1, 1, 0, 1, 0, 0, 1, 4, 0, 2, 2, 3, 0, 0, 1, 3, 4, 4, 3, 3, 4, 1, 4, 4, 3, 0, 0, 2, 4, 3, 3, 2, 0, 3, 1, 2, 3, 0, 3, 0, 1, 1, 4, 2, 1, 4, 2, 3, 2, 1, 0, 1, 3, 3, 1, 0, 1, 0, 3, 0, 3, 4, 3, 0, 4, 2, 3, 2, 0, 3, 3, 0, 1, 3, 0, 1, 2, 0, 4, 1, 1, 0, 4, 3, 1, 2, 0, 4, 0, 2, 2, 1, 4, 0, 2, 0, 2, 2, 0, 4, 1, 2, 2, 1, 0, 0, 2, 3, 1, 0, 0, 1, 2, 0, 4, 4, 0, 4, 3, 2, 2, 0, 0, 4, 2, 2, 2, 2, 1, 1, 0, 3, 1, 0, 3, 0, 2, 4, 1, 2, 3] pubkeycol812 = [1, 4, 2, 3, 4, 1, 3, 2, 4, 2, 2, 0, 0, 3, 0, 0, 0, 3, 3, 2, 2, 4, 3, 4, 3, 0, 4, 2, 1, 1, 4, 0, 4, 3, 2, 2, 0, 4, 3, 0, 4, 3, 0, 1, 4, 2, 1, 2, 4, 0, 1, 3, 3, 3, 0, 2, 2, 4, 4, 0, 2, 2, 1, 3, 4, 1, 3, 2, 1, 0, 3, 2, 3, 1, 3, 4, 2, 0, 0, 2, 2, 1, 1, 2, 4, 2, 1, 2, 2, 3, 1, 2, 4, 4, 3, 1, 0, 1, 2, 1, 2, 1, 1, 2, 4, 4, 3, 3, 3, 1, 3, 0, 1, 1, 3, 0, 3, 2, 1, 2, 4, 4, 2, 1, 3, 3, 3, 1, 2, 0, 4, 3, 1, 1, 4, 4, 2, 4, 2, 0, 4, 2, 3, 0, 3, 1, 2, 3, 4, 0, 4, 3, 4, 1, 4, 4, 1, 0, 3, 4, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 3, 1, 0, 4, 2, 2, 0, 1, 0, 0, 3, 0, 3, 2, 1, 3, 1, 1, 0, 0, 4, 2, 2, 0, 1, 1, 1, 1, 4, 3, 1, 2, 3, 1, 1, 2, 0, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 4, 4, 2, 4, 0, 0, 2, 0, 4, 2, 0, 4, 0, 3, 2, 2, 0, 3, 2, 1, 3, 2, 4, 2, 0, 1, 0, 2, 3, 4, 0, 4, 1, 1, 3, 0, 0, 1, 1, 1, 3, 0, 4, 4, 1, 3, 1, 1, 3, 3, 3, 3, 2, 4, 2, 4, 2, 1, 0, 3, 1, 4, 2, 0, 1, 4, 4, 0, 2, 2, 3, 0, 4, 3, 3, 2, 4, 2, 1, 0, 4, 4, 3, 0, 4, 1, 4, 0, 1, 2, 0, 3, 1, 4, 3, 2, 1, 4, 3, 2, 2, 0, 2, 2, 0, 0, 3, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 3, 0, 4, 2, 3, 4, 1, 4, 3, 3, 4, 0, 2, 1, 0, 1, 1, 3, 2, 0, 2, 0, 2, 0, 4, 4, 4, 2, 3, 3, 1, 0, 0, 2, 0, 1, 4, 4, 3, 3, 1, 3, 1, 0, 4, 3, 2, 3, 2, 0, 1, 4, 1, 1, 0, 0, 3, 0, 3, 4, 4, 1, 1] pubkeycol813 = [0, 2, 1, 0, 0, 2, 3, 0, 4, 0, 3, 0, 3, 2, 4, 1, 2, 0, 0, 1, 4, 2, 4, 0, 4, 3, 2, 3, 3, 3, 3, 0, 0, 2, 4, 1, 3, 2, 0, 2, 4, 1, 1, 4, 3, 4, 2, 0, 0, 1, 1, 4, 4, 0, 1, 2, 2, 0, 4, 1, 3, 2, 0, 0, 2, 0, 3, 4, 2, 2, 3, 0, 1, 1, 4, 4, 2, 3, 2, 1, 1, 4, 2, 2, 2, 0, 4, 4, 2, 1, 0, 4, 1, 2, 2, 3, 4, 3, 3, 4, 4, 3, 4, 3, 0, 1, 1, 1, 0, 3, 2, 4, 1, 1, 2, 2, 2, 4, 2, 4, 4, 4, 1, 0, 3, 4, 3, 4, 2, 3, 3, 3, 0, 0, 3, 2, 4, 1, 4, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 4, 3, 4, 1, 0, 4, 2, 3, 2, 4, 4, 0, 0, 1, 1, 4, 3, 0, 0, 3, 2, 0, 0, 1, 2, 2, 0, 2, 0, 4, 4, 2, 3, 0, 4, 4, 2, 2, 1, 2, 3, 4, 2, 3, 3, 0, 1, 3, 0, 4, 1, 1, 1, 1, 4, 4, 0, 4, 2, 1, 1, 4, 2, 1, 3, 3, 0, 3, 4, 0, 1, 3, 2, 3, 3, 3, 2, 0, 4, 0, 4, 0, 1, 2, 1, 4, 1, 2, 3, 2, 1, 3, 1, 3, 4, 2, 1, 2, 0, 3, 1, 0, 3, 4, 2, 4, 2, 2, 4, 0, 1, 2, 0, 4, 4, 1, 3, 2, 2, 0, 2, 3, 3, 3, 1, 1, 0, 4, 3, 0, 2, 4, 0, 4, 0, 4, 3, 0, 4, 0, 0, 2, 4, 3, 3, 0, 1, 3, 0, 0, 2, 3, 2, 3, 1, 1, 0, 0, 1, 3, 4, 4, 0, 2, 4, 2, 3, 3, 4, 4, 2, 1, 4, 2, 3, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 3, 1, 1, 1, 4, 2, 0, 4, 3, 3, 2, 1, 1, 1, 4, 3, 2, 1, 3, 2, 4, 4, 3, 0, 0, 1, 3, 0, 4, 1, 3, 3, 1, 4, 0, 1, 1, 4, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 4, 0, 1, 0, 1] pubkeycol814 = [3, 4, 1, 2, 3, 0, 2, 0, 3, 4, 2, 4, 0, 2, 2, 4, 0, 4, 1, 3, 2, 2, 1, 1, 3, 2, 1, 3, 0, 3, 4, 2, 4, 4, 1, 3, 3, 2, 4, 0, 3, 3, 0, 0, 3, 4, 1, 4, 3, 1, 3, 2, 2, 3, 3, 1, 1, 2, 1, 4, 0, 3, 3, 2, 1, 2, 2, 3, 1, 1, 4, 1, 1, 0, 2, 3, 2, 0, 1, 1, 4, 2, 1, 1, 4, 0, 3, 4, 1, 1, 0, 1, 4, 3, 0, 0, 0, 4, 2, 0, 4, 0, 2, 1, 1, 2, 3, 4, 3, 4, 2, 1, 1, 2, 3, 3, 4, 2, 0, 3, 2, 0, 1, 2, 0, 0, 0, 4, 3, 1, 1, 4, 2, 1, 4, 2, 4, 4, 4, 4, 2, 3, 3, 4, 1, 4, 2, 2, 3, 2, 1, 1, 0, 1, 3, 2, 3, 3, 2, 0, 3, 3, 2, 4, 2, 0, 3, 1, 3, 2, 2, 4, 3, 3, 3, 2, 4, 1, 2, 2, 3, 2, 4, 3, 4, 1, 3, 4, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 4, 0, 3, 4, 2, 0, 1, 1, 4, 0, 3, 3, 3, 4, 0, 4, 4, 2, 3, 0, 4, 0, 2, 2, 3, 1, 2, 0, 4, 2, 2, 2, 0, 4, 4, 2, 2, 3, 4, 1, 4, 0, 4, 2, 1, 4, 1, 2, 2, 4, 1, 0, 0, 4, 3, 4, 2, 0, 2, 2, 4, 0, 3, 2, 4, 0, 3, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 0, 2, 0, 1, 1, 3, 4, 4, 1, 3, 0, 0, 3, 3, 0, 4, 1, 0, 2, 4, 4, 0, 3, 2, 0, 2, 1, 1, 1, 4, 2, 1, 0, 3, 4, 0, 4, 3, 3, 4, 0, 1, 1, 1, 4, 4, 4, 2, 4, 2, 0, 0, 3, 2, 0, 3, 2, 0, 2, 3, 2, 2, 1, 4, 1, 4, 3, 4, 4, 0, 3, 0, 0, 3, 2, 3, 1, 0, 2, 0, 0, 2, 0, 4, 1, 1, 4, 4, 4, 3, 4, 2, 4, 0, 1, 4, 2, 2, 0, 4, 1, 1, 0, 0, 0, 1, 4, 3, 1, 0, 3, 2, 3, 4, 0, 4, 0, 2, 1, 1, 4, 1, 2, 3, 0] pubkeycol815 = [2, 2, 2, 4, 3, 0, 3, 2, 2, 0, 0, 4, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 3, 0, 3, 4, 3, 0, 0, 3, 4, 4, 2, 4, 4, 0, 1, 4, 4, 3, 0, 4, 3, 4, 4, 3, 4, 2, 3, 2, 1, 1, 2, 3, 4, 1, 4, 2, 3, 2, 0, 4, 2, 1, 0, 1, 4, 2, 4, 0, 2, 0, 4, 0, 1, 1, 4, 1, 0, 2, 4, 4, 1, 3, 1, 4, 0, 3, 1, 0, 0, 0, 0, 3, 1, 1, 3, 0, 2, 0, 4, 1, 1, 2, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 2, 1, 2, 0, 1, 3, 0, 3, 2, 0, 2, 2, 2, 3, 1, 2, 4, 2, 4, 1, 3, 3, 3, 0, 4, 4, 1, 4, 4, 0, 3, 1, 0, 3, 2, 1, 2, 2, 2, 2, 3, 4, 1, 0, 2, 4, 4, 2, 1, 4, 4, 1, 2, 1, 1, 4, 2, 4, 1, 1, 1, 0, 2, 2, 2, 1, 3, 0, 0, 2, 3, 4, 2, 3, 1, 0, 3, 1, 3, 1, 1, 4, 4, 0, 4, 0, 0, 0, 1, 2, 4, 4, 2, 2, 0, 0, 0, 1, 1, 4, 4, 4, 1, 2, 3, 0, 3, 3, 0, 4, 2, 0, 0, 1, 0, 4, 3, 0, 4, 2, 1, 2, 0, 1, 2, 3, 4, 4, 4, 0, 0, 3, 2, 4, 1, 4, 4, 4, 4, 0, 3, 3, 4, 2, 2, 4, 1, 3, 4, 1, 4, 0, 3, 1, 1, 2, 2, 4, 3, 1, 1, 4, 2, 4, 0, 2, 4, 2, 0, 4, 1, 2, 1, 2, 1, 1, 3, 2, 2, 2, 4, 3, 4, 2, 3, 2, 3, 3, 4, 4, 2, 0, 2, 3, 0, 4, 4, 0, 3, 4, 1, 4, 4, 3, 3, 2, 3, 0, 4, 2, 0, 3, 0, 3, 3, 0, 1, 0, 0, 0, 4, 2, 3, 3, 2, 4, 0, 1, 1, 0, 2, 1, 0, 0, 4, 2, 4, 2, 3, 4, 1, 2, 2, 2, 1, 3, 2, 2, 0, 3, 3, 4, 2, 1, 1, 3, 2, 0, 0, 3, 0, 2, 0, 2, 0, 4, 3, 4, 4, 2, 0, 2, 2, 3, 3, 1, 4, 3, 0, 4, 3, 1, 4, 2, 4, 1] pubkeycol816 = [0, 1, 3, 2, 1, 4, 1, 3, 3, 3, 3, 1, 3, 2, 2, 3, 1, 2, 3, 0, 3, 0, 4, 0, 0, 3, 4, 3, 3, 4, 3, 1, 4, 0, 1, 3, 3, 3, 0, 1, 3, 1, 3, 4, 4, 0, 4, 4, 1, 2, 4, 0, 4, 2, 1, 0, 0, 4, 0, 0, 3, 4, 0, 0, 1, 0, 2, 4, 1, 4, 1, 1, 0, 0, 4, 3, 3, 3, 4, 4, 3, 2, 4, 2, 3, 1, 3, 2, 1, 1, 2, 0, 0, 1, 0, 1, 4, 1, 1, 2, 4, 0, 1, 2, 3, 2, 3, 2, 2, 3, 3, 4, 3, 0, 3, 4, 3, 4, 3, 4, 4, 4, 2, 3, 1, 1, 4, 1, 1, 1, 4, 3, 2, 3, 1, 4, 3, 4, 3, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 4, 1, 2, 4, 3, 2, 0, 2, 2, 3, 0, 0, 4, 0, 1, 0, 3, 0, 1, 1, 1, 3, 2, 3, 2, 4, 2, 3, 3, 0, 2, 4, 3, 3, 2, 1, 0, 3, 2, 1, 2, 1, 2, 2, 4, 4, 1, 3, 4, 0, 3, 0, 0, 4, 1, 4, 2, 3, 4, 4, 0, 2, 4, 0, 0, 1, 3, 3, 1, 2, 4, 3, 0, 1, 1, 4, 2, 1, 1, 2, 2, 0, 0, 3, 3, 1, 3, 0, 4, 3, 3, 0, 1, 4, 1, 4, 2, 0, 0, 0, 0, 2, 2, 2, 3, 1, 0, 4, 2, 3, 3, 1, 4, 1, 3, 1, 4, 2, 2, 0, 1, 2, 3, 4, 3, 3, 2, 4, 4, 1, 0, 0, 2, 3, 2, 2, 3, 4, 2, 4, 1, 3, 1, 3, 3, 0, 0, 1, 1, 3, 1, 4, 2, 0, 3, 3, 1, 1, 1, 2, 0, 3, 0, 4, 1, 3, 2, 0, 1, 3, 2, 3, 4, 0, 1, 4, 0, 3, 3, 1, 3, 0, 1, 0, 2, 1, 2, 0, 4, 3, 3, 4, 3, 0, 4, 1, 2, 3, 3, 4, 1, 3, 4, 1, 0, 4, 3, 4, 0, 4, 4, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 3, 4, 4, 3, 4, 1, 3, 2, 4, 2, 2, 4, 4, 0, 4, 1, 2, 0, 2, 3, 0, 3, 0, 0, 1, 2, 0, 3, 2] pubkeycol817 = [1, 0, 4, 1, 3, 4, 3, 1, 1, 0, 0, 1, 3, 4, 3, 3, 0, 1, 0, 3, 0, 1, 3, 4, 4, 3, 2, 2, 4, 2, 4, 1, 3, 4, 0, 3, 4, 3, 0, 3, 1, 4, 3, 2, 2, 4, 0, 3, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 2, 3, 4, 3, 1, 2, 4, 4, 3, 4, 1, 1, 2, 3, 3, 4, 1, 3, 1, 4, 1, 3, 0, 3, 2, 1, 1, 2, 2, 1, 1, 3, 0, 0, 1, 0, 4, 2, 0, 0, 1, 2, 3, 1, 1, 0, 3, 1, 4, 2, 1, 4, 3, 4, 3, 3, 4, 4, 3, 1, 4, 2, 0, 3, 0, 3, 1, 0, 2, 0, 2, 2, 2, 4, 3, 2, 0, 4, 0, 1, 0, 0, 4, 0, 1, 1, 0, 2, 1, 1, 2, 2, 3, 2, 2, 4, 4, 3, 4, 0, 1, 3, 3, 4, 0, 3, 4, 1, 4, 3, 1, 1, 1, 2, 0, 3, 4, 2, 0, 2, 1, 3, 3, 4, 1, 0, 3, 3, 3, 4, 4, 2, 0, 1, 4, 2, 3, 3, 0, 0, 3, 4, 1, 2, 3, 0, 3, 3, 2, 2, 1, 4, 1, 0, 3, 3, 0, 4, 3, 1, 4, 0, 3, 3, 3, 3, 1, 1, 0, 4, 3, 3, 4, 0, 0, 4, 2, 1, 3, 4, 1, 0, 1, 1, 1, 2, 4, 0, 0, 3, 4, 2, 1, 2, 2, 0, 0, 3, 1, 4, 2, 4, 2, 3, 3, 0, 0, 4, 4, 2, 3, 3, 4, 2, 4, 1, 1, 0, 3, 0, 1, 2, 0, 3, 0, 2, 2, 1, 2, 0, 0, 0, 2, 3, 3, 2, 0, 1, 1, 2, 1, 1, 1, 2, 4, 0, 4, 2, 2, 3, 3, 4, 4, 2, 4, 2, 0, 2, 2, 1, 4, 2, 4, 2, 3, 1, 0, 0, 0, 1, 0, 1, 1, 4, 0, 4, 2, 4, 1, 4, 4, 4, 1, 1, 3, 0, 1, 0, 1, 1, 4, 2, 1, 4, 3, 0, 3, 2, 1, 0, 4, 1, 2, 0, 1, 3, 3, 0, 3, 1, 1, 0, 0, 1, 4, 1, 0, 4, 3, 3, 2, 0, 0, 2, 0, 1, 4, 1, 0, 1, 3, 2, 4, 4, 0, 4, 2, 2, 3, 1, 2] pubkeycol818 = [3, 3, 0, 1, 0, 2, 3, 3, 0, 3, 4, 4, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 2, 3, 2, 3, 3, 4, 4, 0, 2, 4, 1, 0, 2, 1, 2, 2, 2, 3, 2, 2, 1, 1, 1, 3, 1, 4, 1, 1, 4, 1, 0, 0, 0, 1, 3, 3, 0, 1, 4, 1, 4, 3, 0, 2, 2, 1, 1, 4, 3, 2, 1, 1, 0, 4, 0, 2, 4, 1, 2, 0, 4, 4, 1, 3, 4, 2, 2, 0, 1, 3, 1, 1, 4, 3, 2, 4, 4, 1, 4, 3, 1, 1, 1, 0, 0, 2, 2, 2, 4, 2, 2, 1, 4, 0, 3, 2, 4, 0, 1, 2, 0, 2, 3, 3, 0, 4, 1, 1, 0, 3, 1, 4, 0, 4, 0, 2, 1, 1, 3, 4, 4, 4, 2, 4, 0, 0, 2, 3, 2, 1, 4, 4, 0, 3, 4, 4, 2, 3, 2, 4, 3, 4, 4, 1, 3, 2, 3, 4, 4, 1, 0, 1, 3, 0, 1, 2, 2, 0, 3, 3, 2, 2, 4, 2, 2, 3, 4, 4, 0, 3, 1, 1, 1, 2, 0, 2, 4, 0, 0, 1, 3, 3, 4, 1, 1, 4, 1, 0, 0, 3, 0, 0, 4, 1, 1, 1, 1, 4, 1, 2, 2, 4, 2, 0, 2, 2, 2, 3, 1, 2, 4, 0, 0, 3, 2, 0, 4, 3, 1, 2, 4, 2, 3, 3, 4, 3, 2, 4, 3, 2, 2, 2, 0, 1, 4, 1, 2, 4, 0, 0, 2, 0, 0, 4, 1, 4, 2, 2, 0, 1, 0, 1, 3, 2, 3, 3, 2, 1, 3, 4, 1, 0, 1, 1, 2, 1, 1, 4, 3, 4, 4, 0, 4, 1, 1, 1, 0, 0, 4, 0, 1, 3, 2, 0, 4, 1, 3, 4, 1, 0, 4, 3, 3, 3, 4, 0, 0, 0, 2, 2, 0, 3, 2, 2, 4, 0, 3, 3, 3, 4, 0, 4, 1, 2, 2, 1, 1, 1, 4, 0, 3, 0, 0, 2, 1, 1, 2, 3, 4, 1, 1, 4, 3, 2, 0, 0, 2, 3, 1, 4, 0, 0, 4, 4, 0, 0, 0, 4, 3, 4, 0, 1, 1, 1, 4, 2, 0, 3, 2, 2, 0, 2, 0, 2, 0, 3, 0, 0, 4, 1, 4, 1, 2, 0, 2, 4, 2, 2] pubkeycol819 = [4, 4, 3, 2, 0, 0, 1, 3, 3, 3, 4, 4, 4, 3, 4, 4, 2, 1, 2, 3, 0, 4, 3, 0, 0, 2, 1, 2, 2, 3, 0, 0, 2, 1, 1, 3, 3, 3, 0, 3, 1, 4, 3, 0, 0, 4, 0, 2, 2, 4, 4, 3, 4, 4, 2, 3, 0, 0, 1, 4, 1, 0, 2, 0, 4, 2, 0, 2, 0, 1, 2, 1, 4, 0, 4, 4, 3, 2, 3, 3, 3, 3, 1, 4, 3, 4, 1, 0, 3, 3, 2, 2, 4, 2, 0, 4, 4, 3, 3, 0, 4, 2, 4, 3, 2, 0, 1, 0, 1, 3, 2, 0, 1, 3, 2, 0, 4, 4, 0, 0, 4, 3, 1, 2, 0, 2, 3, 1, 2, 4, 4, 1, 1, 3, 0, 3, 0, 2, 4, 1, 4, 1, 1, 1, 0, 4, 3, 0, 2, 4, 3, 4, 3, 2, 4, 3, 1, 4, 3, 0, 4, 1, 0, 0, 4, 2, 0, 2, 1, 1, 1, 0, 4, 3, 0, 0, 4, 0, 4, 2, 2, 4, 0, 0, 2, 0, 4, 4, 0, 0, 2, 1, 1, 2, 3, 4, 0, 1, 4, 3, 3, 2, 3, 0, 1, 2, 3, 1, 2, 4, 1, 2, 4, 2, 3, 1, 1, 0, 2, 1, 3, 4, 2, 0, 2, 4, 3, 4, 1, 4, 3, 3, 4, 2, 3, 3, 0, 2, 1, 2, 2, 4, 1, 4, 2, 1, 0, 3, 3, 1, 4, 3, 2, 3, 2, 3, 1, 0, 2, 2, 3, 0, 3, 1, 0, 0, 3, 1, 2, 2, 3, 3, 2, 4, 2, 0, 1, 4, 4, 4, 4, 3, 3, 4, 1, 0, 4, 2, 3, 2, 4, 2, 3, 2, 0, 4, 3, 2, 3, 3, 1, 1, 4, 4, 1, 4, 2, 2, 1, 4, 3, 3, 0, 1, 4, 4, 0, 3, 4, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 3, 2, 0, 3, 2, 0, 2, 2, 3, 4, 0, 3, 4, 0, 1, 1, 2, 2, 4, 2, 3, 4, 3, 0, 0, 3, 1, 1, 0, 0, 1, 0, 2, 0, 2, 3, 0, 3, 4, 2, 2, 1, 2, 4, 4, 4, 3, 3, 2, 1, 0, 1, 3, 1, 4, 4, 3, 0, 3, 3, 2, 0, 4, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol820 = [4, 3, 0, 1, 2, 3, 1, 2, 2, 0, 4, 4, 4, 0, 3, 4, 3, 1, 0, 1, 3, 1, 2, 0, 0, 1, 3, 2, 3, 4, 1, 3, 0, 2, 2, 3, 2, 0, 2, 1, 1, 3, 3, 3, 0, 3, 1, 1, 4, 3, 2, 0, 3, 3, 0, 1, 0, 1, 1, 1, 0, 4, 4, 1, 2, 2, 0, 0, 4, 0, 3, 4, 0, 3, 3, 3, 0, 0, 2, 4, 4, 4, 2, 3, 1, 4, 4, 1, 2, 4, 0, 2, 0, 4, 3, 3, 3, 3, 0, 1, 4, 3, 4, 3, 0, 0, 1, 4, 4, 1, 1, 2, 3, 1, 1, 4, 1, 0, 3, 2, 0, 4, 3, 0, 1, 1, 3, 1, 4, 3, 0, 4, 0, 0, 1, 1, 1, 3, 4, 4, 0, 1, 0, 3, 3, 2, 2, 3, 3, 3, 2, 1, 4, 2, 4, 4, 3, 1, 3, 4, 4, 4, 3, 0, 0, 3, 4, 3, 1, 1, 4, 2, 2, 2, 1, 4, 1, 0, 4, 0, 0, 4, 2, 1, 1, 2, 2, 4, 1, 0, 1, 0, 3, 4, 0, 0, 0, 0, 3, 0, 2, 2, 4, 4, 3, 1, 1, 3, 1, 1, 3, 0, 4, 1, 2, 4, 1, 0, 2, 0, 2, 1, 3, 4, 3, 4, 3, 2, 2, 1, 3, 4, 2, 0, 3, 1, 3, 1, 1, 3, 4, 3, 4, 1, 2, 0, 2, 2, 0, 2, 2, 4, 2, 4, 1, 4, 1, 4, 1, 4, 2, 3, 2, 4, 1, 4, 4, 0, 3, 0, 3, 4, 2, 2, 2, 3, 0, 0, 2, 3, 4, 2, 0, 3, 0, 3, 4, 3, 3, 2, 1, 1, 0, 3, 3, 4, 3, 3, 3, 0, 4, 2, 0, 4, 2, 4, 3, 3, 3, 3, 3, 2, 4, 2, 0, 0, 3, 4, 3, 4, 1, 1, 0, 4, 4, 4, 0, 0, 2, 0, 1, 0, 0, 3, 2, 0, 4, 2, 3, 3, 1, 1, 2, 3, 3, 4, 3, 2, 2, 4, 0, 1, 2, 1, 1, 4, 3, 0, 1, 1, 4, 3, 3, 3, 4, 4, 1, 0, 0, 3, 1, 4, 4, 2, 4, 4, 2, 1, 0, 4, 2, 0, 1, 0, 0, 2, 3, 2, 2, 3, 4, 4, 3, 0, 1, 3, 4, 1, 4, 0] pubkeycol821 = [2, 3, 0, 2, 1, 4, 1, 2, 0, 2, 3, 0, 3, 3, 3, 4, 3, 2, 4, 3, 2, 0, 0, 3, 2, 2, 1, 3, 3, 3, 4, 2, 0, 4, 1, 2, 1, 2, 3, 1, 4, 0, 1, 4, 4, 2, 4, 1, 0, 4, 4, 4, 2, 0, 0, 4, 4, 1, 2, 2, 4, 3, 1, 3, 3, 1, 2, 4, 2, 4, 4, 1, 2, 4, 2, 0, 2, 2, 0, 3, 2, 1, 2, 1, 0, 4, 0, 3, 2, 1, 4, 3, 0, 0, 4, 3, 2, 0, 1, 4, 4, 1, 4, 2, 0, 4, 2, 1, 3, 4, 0, 4, 0, 4, 4, 1, 1, 4, 4, 2, 4, 0, 2, 3, 4, 2, 3, 4, 3, 3, 3, 1, 0, 1, 4, 2, 1, 4, 2, 2, 3, 4, 3, 4, 3, 0, 4, 2, 0, 3, 2, 0, 0, 4, 1, 3, 3, 4, 0, 2, 1, 0, 3, 4, 3, 4, 1, 3, 2, 3, 1, 1, 2, 3, 1, 0, 2, 3, 4, 3, 1, 2, 0, 3, 4, 4, 3, 3, 1, 4, 4, 3, 0, 3, 3, 3, 1, 2, 3, 2, 4, 2, 2, 3, 4, 2, 4, 2, 0, 0, 2, 4, 3, 0, 2, 0, 0, 0, 2, 4, 4, 0, 0, 3, 0, 4, 2, 2, 3, 1, 0, 2, 3, 3, 0, 4, 1, 4, 4, 1, 4, 4, 4, 4, 1, 2, 3, 1, 0, 2, 3, 0, 1, 1, 3, 2, 4, 4, 0, 1, 0, 1, 2, 0, 0, 2, 3, 0, 2, 1, 0, 0, 2, 3, 2, 0, 0, 3, 4, 2, 2, 4, 1, 2, 3, 3, 1, 4, 0, 0, 3, 0, 1, 4, 4, 3, 3, 0, 0, 3, 1, 4, 3, 1, 1, 1, 0, 2, 0, 3, 4, 0, 2, 1, 2, 2, 4, 1, 1, 2, 3, 4, 4, 2, 1, 0, 0, 3, 0, 1, 1, 3, 3, 4, 1, 0, 3, 4, 3, 0, 3, 1, 3, 1, 2, 2, 2, 1, 3, 0, 2, 4, 2, 0, 3, 4, 1, 3, 4, 0, 2, 4, 2, 3, 3, 3, 1, 3, 2, 0, 1, 0, 2, 2, 4, 3, 2, 0, 0, 2, 4, 4, 2, 2, 4, 2, 1, 0, 0, 2, 3, 1, 2, 4, 0, 0, 3, 3, 0, 0] pubkeycol822 = [1, 0, 0, 4, 4, 1, 1, 0, 0, 0, 3, 2, 2, 3, 0, 2, 3, 0, 0, 2, 0, 3, 3, 0, 3, 3, 4, 4, 1, 3, 4, 3, 4, 2, 3, 0, 1, 4, 0, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 4, 1, 0, 4, 1, 1, 3, 3, 2, 0, 2, 3, 0, 1, 2, 4, 0, 3, 0, 2, 0, 3, 0, 2, 0, 0, 3, 1, 0, 0, 1, 0, 1, 2, 2, 3, 1, 2, 1, 4, 2, 1, 3, 2, 3, 3, 3, 4, 0, 3, 0, 3, 0, 4, 3, 3, 0, 3, 2, 2, 4, 2, 4, 3, 1, 3, 3, 2, 3, 0, 3, 2, 3, 1, 0, 2, 0, 0, 0, 3, 4, 0, 4, 3, 0, 3, 4, 0, 1, 2, 1, 0, 0, 3, 0, 2, 2, 2, 3, 2, 2, 1, 4, 3, 1, 4, 4, 1, 1, 2, 4, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 4, 2, 3, 3, 3, 3, 2, 4, 1, 0, 0, 3, 0, 0, 3, 0, 0, 3, 1, 1, 1, 1, 3, 2, 0, 1, 2, 4, 4, 3, 1, 0, 0, 4, 4, 4, 2, 1, 0, 0, 0, 0, 2, 0, 4, 4, 3, 4, 3, 0, 0, 0, 3, 2, 4, 3, 2, 3, 2, 0, 0, 4, 4, 2, 4, 1, 2, 2, 1, 2, 0, 2, 3, 3, 1, 4, 2, 0, 1, 3, 2, 0, 2, 4, 4, 1, 0, 4, 1, 4, 2, 0, 0, 3, 4, 1, 3, 2, 0, 3, 1, 2, 1, 0, 4, 2, 2, 2, 4, 1, 2, 4, 1, 1, 1, 4, 3, 4, 0, 0, 1, 1, 0, 0, 2, 4, 4, 4, 0, 3, 0, 2, 2, 3, 1, 2, 4, 0, 2, 2, 1, 3, 3, 0, 3, 3, 1, 2, 0, 3, 0, 0, 2, 2, 3, 2, 4, 3, 2, 1, 2, 0, 4, 1, 1, 0, 2, 4, 3, 1, 4, 4, 4, 3, 0, 4, 0, 4, 1, 4, 1, 2, 2, 3, 4, 0, 0, 1, 2, 0, 2, 3, 1, 4, 1, 4, 0, 4, 4, 3, 3, 2, 1, 4, 1, 0, 3, 4, 1, 2, 0, 0, 2, 3, 4, 4, 0, 2, 4, 3, 2, 2, 0, 4, 3, 2, 2, 1] pubkeycol823 = [3, 1, 2, 0, 3, 4, 3, 4, 4, 1, 4, 0, 2, 2, 0, 0, 1, 1, 4, 2, 2, 0, 4, 4, 2, 2, 0, 2, 3, 2, 1, 4, 0, 3, 0, 2, 4, 4, 2, 0, 0, 1, 4, 0, 4, 4, 1, 0, 3, 3, 2, 2, 3, 0, 3, 2, 0, 3, 2, 2, 1, 3, 3, 2, 2, 0, 3, 3, 0, 2, 0, 2, 1, 0, 2, 4, 2, 3, 0, 3, 2, 4, 3, 2, 1, 4, 2, 0, 0, 0, 4, 2, 0, 0, 4, 0, 1, 4, 0, 3, 0, 1, 1, 1, 3, 0, 4, 3, 2, 3, 2, 1, 2, 1, 2, 3, 1, 0, 2, 4, 3, 4, 2, 4, 3, 2, 2, 1, 3, 3, 2, 1, 0, 0, 0, 1, 4, 1, 1, 3, 2, 1, 1, 0, 0, 2, 3, 1, 0, 2, 2, 1, 1, 4, 2, 1, 1, 2, 1, 3, 3, 0, 3, 4, 4, 3, 1, 4, 1, 0, 4, 2, 0, 4, 1, 2, 4, 0, 2, 2, 4, 4, 3, 3, 1, 2, 3, 4, 1, 4, 2, 1, 4, 4, 1, 0, 3, 1, 1, 2, 2, 0, 0, 1, 0, 3, 4, 4, 3, 4, 4, 3, 0, 2, 2, 1, 3, 3, 1, 2, 1, 4, 0, 4, 0, 3, 0, 0, 1, 2, 1, 2, 0, 4, 1, 0, 0, 3, 0, 4, 2, 2, 4, 1, 2, 3, 3, 2, 0, 0, 3, 0, 1, 4, 2, 1, 3, 0, 1, 1, 2, 2, 3, 1, 2, 3, 2, 2, 0, 1, 0, 3, 4, 3, 3, 4, 0, 0, 3, 0, 4, 4, 3, 0, 3, 2, 1, 3, 0, 4, 1, 3, 2, 3, 1, 4, 4, 4, 1, 0, 4, 4, 0, 0, 0, 1, 1, 4, 2, 0, 0, 1, 1, 2, 0, 3, 4, 0, 1, 4, 0, 1, 3, 4, 2, 0, 2, 0, 0, 0, 3, 4, 3, 1, 4, 1, 1, 1, 4, 4, 1, 2, 2, 2, 3, 3, 3, 1, 3, 4, 1, 1, 3, 0, 1, 0, 0, 3, 2, 1, 2, 1, 2, 2, 4, 4, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 3, 2, 2, 3, 4, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 4, 0, 1, 2] pubkeycol824 = [3, 1, 1, 1, 3, 2, 2, 2, 2, 3, 4, 1, 0, 1, 2, 1, 4, 4, 2, 0, 0, 0, 4, 0, 4, 3, 0, 1, 4, 4, 0, 0, 2, 4, 2, 2, 0, 4, 1, 0, 0, 3, 0, 1, 1, 0, 2, 3, 4, 2, 1, 0, 1, 0, 1, 0, 3, 2, 4, 4, 4, 1, 1, 4, 0, 0, 3, 3, 0, 1, 3, 4, 0, 2, 2, 4, 4, 2, 2, 3, 1, 4, 1, 4, 3, 0, 3, 1, 4, 3, 0, 1, 2, 4, 1, 4, 4, 4, 1, 3, 3, 1, 0, 3, 3, 3, 2, 0, 4, 3, 1, 1, 1, 1, 2, 3, 4, 4, 1, 2, 2, 4, 0, 3, 3, 4, 3, 0, 1, 0, 1, 0, 2, 1, 3, 2, 1, 1, 4, 3, 2, 2, 2, 2, 0, 0, 3, 0, 1, 1, 2, 2, 2, 0, 2, 4, 3, 4, 1, 1, 1, 3, 1, 3, 2, 1, 3, 3, 3, 2, 0, 2, 4, 1, 2, 1, 0, 3, 0, 2, 4, 4, 0, 1, 4, 4, 2, 2, 4, 3, 4, 1, 4, 1, 4, 3, 3, 0, 4, 1, 2, 2, 4, 3, 3, 3, 4, 1, 1, 0, 3, 2, 4, 0, 2, 1, 2, 4, 2, 0, 3, 2, 3, 0, 0, 3, 0, 3, 4, 4, 3, 0, 4, 4, 3, 3, 2, 1, 1, 1, 0, 4, 4, 4, 1, 3, 3, 2, 2, 2, 3, 3, 4, 4, 0, 1, 1, 1, 1, 2, 4, 3, 4, 2, 3, 1, 3, 3, 0, 0, 2, 0, 3, 4, 0, 3, 3, 0, 3, 4, 1, 4, 4, 0, 1, 2, 2, 3, 0, 2, 1, 2, 3, 1, 3, 4, 1, 1, 4, 4, 3, 3, 4, 4, 4, 4, 1, 0, 0, 1, 0, 2, 3, 3, 1, 0, 3, 2, 1, 0, 1, 3, 0, 3, 4, 1, 2, 1, 1, 3, 2, 3, 1, 3, 0, 1, 0, 3, 2, 4, 0, 0, 4, 3, 1, 4, 4, 3, 3, 0, 3, 1, 0, 1, 3, 0, 4, 2, 4, 2, 0, 2, 2, 4, 4, 1, 4, 1, 0, 2, 1, 4, 1, 3, 3, 2, 3, 1, 0, 3, 3, 1, 3, 2, 0, 3, 1, 4, 1, 4, 0, 4, 3, 0, 2, 1, 2, 1, 4, 0] pubkeycol825 = [4, 1, 1, 0, 0, 2, 2, 4, 1, 3, 2, 3, 1, 0, 1, 0, 4, 2, 3, 0, 4, 0, 3, 0, 3, 2, 4, 2, 3, 4, 1, 2, 1, 1, 4, 1, 0, 2, 2, 3, 1, 2, 4, 2, 1, 3, 2, 0, 1, 3, 1, 1, 3, 4, 3, 3, 0, 1, 3, 4, 1, 2, 2, 0, 2, 1, 4, 0, 1, 2, 3, 0, 3, 2, 4, 1, 3, 1, 1, 4, 1, 1, 3, 1, 4, 2, 3, 4, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 0, 2, 3, 2, 1, 3, 2, 2, 4, 4, 1, 0, 3, 2, 1, 1, 0, 0, 1, 0, 3, 4, 1, 4, 1, 1, 3, 0, 4, 2, 0, 2, 1, 0, 2, 0, 3, 1, 4, 4, 1, 3, 3, 4, 4, 2, 1, 2, 4, 0, 3, 0, 2, 2, 0, 3, 2, 2, 1, 1, 0, 1, 3, 2, 0, 4, 4, 0, 2, 2, 2, 0, 0, 3, 1, 4, 3, 0, 3, 2, 4, 3, 3, 2, 0, 3, 0, 4, 0, 0, 0, 1, 0, 4, 4, 1, 0, 3, 1, 2, 1, 0, 3, 3, 0, 2, 1, 1, 4, 0, 2, 1, 4, 0, 2, 0, 2, 3, 3, 0, 1, 1, 0, 1, 4, 2, 3, 3, 4, 4, 1, 3, 0, 3, 0, 0, 4, 0, 2, 4, 3, 3, 3, 1, 4, 0, 2, 4, 0, 3, 3, 2, 3, 0, 1, 2, 2, 3, 4, 0, 2, 3, 2, 0, 3, 0, 1, 4, 0, 2, 0, 2, 4, 0, 4, 1, 2, 3, 4, 3, 4, 3, 2, 1, 4, 4, 4, 2, 2, 0, 3, 3, 1, 1, 2, 4, 2, 4, 0, 1, 3, 0, 3, 2, 1, 0, 0, 3, 3, 0, 0, 1, 4, 4, 3, 2, 1, 1, 4, 2, 4, 3, 1, 3, 3, 0, 0, 1, 0, 0, 0, 2, 3, 0, 1, 1, 4, 3, 3, 1, 1, 3, 4, 4, 4, 1, 1, 0, 2, 4, 4, 3, 3, 0, 4, 3, 2, 3, 4, 4, 0, 2, 1, 3, 1, 1, 1, 2, 1, 3, 3, 0, 4, 2, 1, 0, 4, 4, 3, 4, 3, 2, 1, 4, 2, 0, 1, 3, 1, 2, 2, 3, 0, 2, 1, 1, 2, 4, 1] pubkeycol826 = [3, 1, 3, 2, 1, 2, 2, 4, 3, 1, 0, 3, 4, 2, 4, 4, 1, 0, 0, 2, 3, 4, 3, 1, 4, 3, 4, 4, 4, 3, 4, 1, 1, 1, 0, 4, 3, 0, 4, 4, 4, 0, 4, 2, 0, 1, 0, 0, 2, 0, 2, 4, 2, 1, 4, 2, 4, 3, 1, 1, 0, 2, 3, 3, 2, 4, 1, 3, 3, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 3, 2, 3, 1, 3, 4, 3, 2, 3, 2, 0, 3, 4, 4, 3, 2, 1, 1, 2, 0, 4, 1, 1, 4, 1, 3, 1, 0, 1, 2, 3, 2, 1, 1, 0, 1, 1, 0, 2, 4, 0, 3, 3, 4, 0, 4, 2, 0, 2, 4, 1, 4, 1, 3, 4, 4, 0, 1, 0, 0, 2, 3, 4, 2, 3, 2, 2, 0, 0, 1, 3, 2, 4, 2, 0, 2, 1, 3, 3, 0, 2, 2, 3, 1, 3, 3, 0, 4, 2, 3, 3, 0, 3, 0, 4, 3, 2, 3, 2, 0, 3, 1, 4, 0, 2, 2, 1, 0, 1, 3, 4, 4, 2, 1, 2, 0, 1, 1, 3, 2, 1, 2, 4, 4, 2, 4, 0, 1, 1, 2, 2, 1, 2, 0, 0, 4, 2, 4, 1, 1, 1, 0, 2, 1, 1, 3, 0, 4, 0, 0, 0, 2, 3, 4, 4, 1, 1, 1, 1, 0, 0, 3, 4, 4, 2, 1, 3, 0, 1, 1, 1, 0, 2, 0, 4, 2, 0, 1, 0, 4, 4, 2, 2, 3, 2, 0, 1, 2, 4, 3, 2, 3, 1, 3, 2, 2, 4, 2, 3, 4, 1, 4, 4, 2, 1, 1, 0, 0, 3, 2, 0, 2, 2, 4, 3, 0, 2, 4, 0, 1, 1, 0, 3, 0, 4, 3, 4, 0, 1, 2, 4, 3, 4, 4, 2, 4, 1, 4, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 0, 0, 4, 4, 2, 0, 1, 2, 2, 3, 3, 1, 0, 2, 1, 1, 2, 3, 3, 2, 1, 4, 1, 3, 3, 4, 1, 1, 3, 4, 0, 4, 3, 3, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 1, 0, 2, 2, 2, 4, 2, 2, 2, 0, 0, 4, 0, 3, 1, 1, 0, 4, 2, 2, 0, 4, 0, 2, 3] pubkeycol827 = [4, 3, 3, 4, 3, 1, 2, 4, 4, 2, 0, 4, 0, 4, 3, 4, 4, 0, 0, 3, 1, 3, 2, 0, 1, 3, 0, 3, 0, 4, 1, 2, 3, 3, 4, 1, 1, 0, 4, 0, 2, 0, 3, 0, 1, 2, 3, 1, 2, 2, 3, 2, 1, 3, 3, 1, 2, 1, 3, 4, 2, 4, 2, 2, 4, 2, 0, 1, 4, 1, 1, 1, 0, 3, 0, 3, 2, 4, 1, 4, 2, 2, 1, 2, 3, 4, 1, 3, 3, 1, 2, 1, 3, 1, 3, 4, 4, 3, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 4, 2, 3, 3, 3, 3, 1, 4, 0, 4, 3, 1, 4, 4, 0, 4, 1, 4, 3, 1, 2, 2, 0, 2, 4, 3, 4, 4, 3, 1, 2, 1, 2, 4, 0, 4, 3, 2, 2, 1, 4, 3, 2, 1, 1, 3, 1, 1, 1, 2, 1, 4, 1, 3, 1, 1, 4, 3, 4, 2, 2, 4, 3, 1, 3, 1, 1, 4, 1, 0, 1, 3, 0, 4, 4, 3, 2, 1, 4, 0, 3, 1, 0, 2, 3, 4, 1, 1, 0, 3, 4, 2, 4, 1, 0, 1, 4, 4, 2, 3, 0, 2, 3, 1, 0, 2, 0, 3, 0, 0, 1, 4, 4, 0, 2, 1, 1, 4, 4, 1, 1, 2, 3, 2, 1, 4, 1, 1, 3, 4, 4, 3, 4, 0, 2, 2, 3, 3, 0, 0, 0, 4, 4, 4, 2, 1, 1, 4, 0, 1, 2, 4, 0, 0, 0, 2, 0, 3, 4, 4, 4, 1, 2, 4, 2, 4, 0, 4, 2, 1, 1, 0, 1, 1, 3, 3, 0, 1, 4, 2, 4, 1, 4, 1, 4, 3, 3, 2, 2, 3, 2, 2, 4, 3, 2, 0, 2, 0, 3, 2, 3, 1, 4, 4, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 3, 2, 4, 2, 2, 4, 0, 1, 4, 4, 3, 0, 3, 4, 1, 2, 1, 4, 2, 1, 2, 3, 2, 3, 1, 3, 3, 0, 2, 3, 1, 3, 4, 0, 2, 4, 3, 2, 3, 0, 1, 4, 4, 2, 2, 2, 1, 1, 2, 4, 2, 0, 2, 1, 1, 2, 3, 0, 0, 0, 4, 1, 3, 2, 2, 4, 3, 2, 4, 2, 2, 1, 4, 4, 3, 2, 0] pubkeycol828 = [0, 2, 2, 1, 0, 4, 1, 4, 0, 2, 0, 0, 3, 2, 1, 1, 0, 3, 2, 1, 0, 4, 3, 4, 2, 4, 1, 4, 4, 3, 4, 3, 1, 2, 3, 4, 4, 3, 4, 0, 4, 2, 1, 0, 3, 0, 2, 0, 0, 0, 0, 4, 0, 2, 2, 2, 3, 2, 1, 4, 2, 2, 1, 2, 0, 0, 3, 1, 1, 0, 0, 0, 1, 1, 3, 3, 4, 2, 4, 1, 2, 2, 2, 1, 4, 0, 2, 3, 0, 3, 3, 1, 1, 1, 4, 4, 0, 0, 0, 2, 4, 2, 2, 0, 3, 0, 3, 3, 0, 1, 3, 1, 0, 3, 4, 0, 3, 4, 4, 2, 1, 2, 0, 3, 0, 3, 3, 0, 2, 3, 1, 2, 2, 2, 1, 3, 3, 0, 1, 0, 1, 2, 4, 0, 1, 4, 3, 0, 1, 4, 0, 0, 2, 1, 4, 2, 1, 2, 0, 2, 4, 3, 3, 0, 3, 2, 4, 0, 1, 0, 0, 3, 4, 0, 4, 1, 2, 1, 2, 2, 2, 2, 3, 2, 2, 0, 4, 1, 3, 1, 1, 0, 1, 1, 4, 1, 3, 0, 0, 0, 1, 3, 0, 0, 2, 4, 2, 1, 1, 1, 0, 1, 2, 4, 4, 3, 0, 1, 0, 2, 1, 4, 0, 2, 4, 2, 3, 1, 4, 3, 4, 3, 1, 2, 2, 2, 2, 2, 4, 3, 1, 2, 0, 0, 0, 4, 1, 2, 3, 0, 4, 0, 4, 3, 2, 2, 2, 3, 2, 0, 3, 4, 1, 2, 0, 4, 4, 0, 2, 4, 3, 3, 4, 3, 2, 1, 4, 4, 4, 1, 4, 3, 3, 4, 2, 4, 3, 4, 3, 0, 2, 2, 4, 0, 4, 0, 1, 3, 3, 3, 0, 4, 0, 1, 0, 3, 2, 2, 1, 3, 2, 0, 3, 2, 1, 4, 2, 3, 0, 1, 2, 2, 3, 4, 4, 1, 2, 3, 2, 1, 0, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 4, 2, 4, 3, 1, 2, 0, 4, 1, 3, 4, 1, 1, 1, 4, 4, 2, 2, 3, 1, 3, 2, 1, 4, 3, 1, 3, 0, 1, 1, 4, 2, 4, 0, 0, 4, 0, 2, 3, 0, 4, 1, 0, 0, 2, 3, 0, 3, 0, 0, 4, 3, 4, 1, 2, 4, 3, 0, 3] pubkeycol829 = [3, 2, 0, 0, 4, 1, 1, 4, 4, 0, 3, 3, 4, 2, 0, 0, 4, 1, 1, 0, 0, 4, 2, 3, 0, 4, 2, 4, 3, 0, 4, 0, 3, 1, 1, 0, 4, 4, 1, 4, 2, 2, 1, 2, 3, 4, 1, 4, 3, 1, 4, 2, 2, 4, 0, 1, 3, 0, 4, 1, 1, 4, 1, 0, 2, 2, 2, 1, 1, 0, 4, 2, 0, 3, 3, 3, 1, 2, 2, 1, 1, 3, 0, 4, 3, 1, 0, 1, 4, 3, 4, 1, 1, 0, 3, 4, 0, 2, 0, 0, 4, 3, 0, 2, 3, 4, 2, 0, 1, 1, 3, 0, 3, 3, 3, 2, 0, 2, 2, 0, 4, 0, 0, 2, 1, 2, 3, 1, 1, 2, 0, 2, 3, 0, 2, 1, 2, 0, 3, 0, 4, 3, 1, 1, 3, 3, 3, 2, 2, 2, 0, 3, 1, 2, 0, 2, 1, 3, 3, 3, 2, 1, 4, 3, 0, 1, 1, 4, 1, 2, 3, 0, 3, 4, 0, 4, 1, 3, 4, 4, 3, 3, 4, 3, 1, 1, 3, 4, 1, 2, 2, 0, 0, 1, 4, 2, 0, 4, 1, 4, 4, 4, 2, 0, 4, 1, 4, 4, 4, 0, 4, 4, 1, 2, 3, 1, 1, 3, 4, 3, 2, 0, 3, 4, 0, 4, 4, 3, 4, 2, 2, 0, 3, 1, 3, 3, 0, 0, 0, 2, 4, 2, 3, 0, 1, 3, 0, 3, 4, 1, 2, 4, 3, 4, 2, 4, 2, 0, 0, 4, 0, 2, 0, 4, 0, 3, 2, 4, 0, 4, 0, 2, 0, 1, 2, 3, 3, 3, 3, 0, 4, 3, 1, 2, 3, 3, 2, 0, 0, 0, 0, 1, 4, 2, 2, 1, 3, 2, 1, 0, 1, 4, 1, 3, 1, 0, 3, 3, 1, 4, 3, 2, 2, 1, 1, 4, 2, 3, 2, 1, 4, 3, 3, 2, 4, 4, 3, 3, 1, 4, 2, 1, 0, 0, 2, 1, 4, 0, 4, 0, 4, 0, 1, 4, 3, 1, 3, 4, 0, 3, 4, 3, 0, 0, 2, 0, 2, 1, 0, 3, 2, 1, 2, 0, 2, 3, 4, 1, 4, 0, 1, 3, 0, 3, 4, 2, 3, 2, 1, 1, 1, 1, 3, 0, 4, 1, 1, 2, 1, 1, 1, 1, 4, 1, 0, 0, 0, 1, 1, 3] pubkeycol830 = [4, 0, 3, 1, 3, 4, 0, 3, 0, 3, 4, 4, 1, 4, 4, 1, 3, 4, 2, 0, 2, 2, 0, 0, 0, 2, 0, 3, 0, 1, 3, 3, 3, 4, 0, 4, 4, 3, 1, 3, 3, 4, 3, 0, 1, 4, 0, 4, 0, 2, 4, 0, 2, 1, 0, 4, 0, 1, 4, 3, 0, 1, 2, 1, 2, 2, 4, 3, 4, 1, 1, 1, 4, 0, 2, 2, 0, 1, 2, 3, 3, 4, 2, 4, 0, 2, 1, 2, 3, 2, 2, 1, 1, 0, 1, 2, 0, 4, 3, 3, 2, 1, 0, 0, 4, 2, 4, 3, 2, 4, 2, 0, 2, 4, 4, 3, 4, 4, 3, 4, 1, 3, 4, 0, 2, 4, 3, 0, 3, 1, 3, 1, 0, 2, 4, 1, 4, 2, 2, 3, 3, 1, 0, 2, 4, 3, 3, 0, 1, 1, 1, 2, 2, 0, 1, 0, 3, 2, 0, 0, 4, 4, 0, 0, 2, 0, 1, 4, 4, 0, 1, 1, 3, 3, 1, 1, 0, 2, 3, 0, 2, 1, 1, 4, 2, 4, 2, 4, 3, 3, 0, 4, 4, 4, 1, 3, 3, 4, 1, 2, 3, 1, 2, 3, 1, 2, 4, 0, 0, 4, 4, 1, 1, 2, 3, 3, 1, 0, 0, 0, 2, 4, 1, 0, 1, 3, 1, 3, 2, 3, 2, 0, 4, 1, 0, 2, 0, 0, 4, 0, 2, 3, 0, 2, 3, 4, 3, 4, 2, 3, 3, 0, 0, 3, 3, 0, 1, 4, 3, 4, 4, 4, 4, 2, 1, 4, 1, 4, 4, 0, 1, 2, 3, 0, 3, 0, 3, 1, 3, 0, 2, 2, 4, 3, 2, 2, 4, 3, 4, 1, 3, 4, 4, 1, 2, 3, 3, 2, 0, 0, 4, 2, 3, 0, 0, 3, 2, 0, 3, 4, 4, 4, 3, 1, 0, 3, 2, 3, 2, 4, 3, 0, 4, 0, 4, 1, 1, 1, 0, 3, 1, 3, 1, 1, 1, 1, 3, 1, 2, 3, 4, 3, 3, 0, 1, 4, 2, 2, 4, 3, 1, 3, 3, 3, 0, 1, 0, 0, 1, 2, 4, 4, 1, 3, 3, 2, 4, 0, 1, 0, 3, 4, 0, 4, 1, 1, 4, 1, 0, 2, 3, 0, 2, 2, 3, 3, 2, 3, 0, 0, 4, 0, 2, 3, 1, 1, 3, 4, 0, 2] pubkeycol831 = [2, 2, 4, 4, 3, 4, 4, 3, 0, 0, 4, 0, 0, 4, 1, 0, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 4, 4, 1, 1, 0, 0, 1, 4, 3, 1, 3, 0, 4, 4, 0, 0, 2, 0, 0, 3, 1, 3, 2, 1, 0, 4, 1, 0, 0, 1, 1, 1, 3, 2, 1, 1, 0, 2, 4, 1, 2, 0, 3, 3, 1, 4, 1, 3, 1, 3, 0, 1, 1, 0, 1, 0, 1, 3, 4, 3, 1, 3, 0, 0, 1, 4, 3, 4, 3, 3, 3, 4, 4, 4, 2, 1, 0, 3, 4, 0, 3, 2, 3, 1, 4, 4, 0, 1, 1, 4, 4, 2, 1, 4, 2, 1, 0, 0, 1, 2, 3, 1, 3, 3, 4, 3, 1, 3, 1, 2, 2, 2, 0, 3, 4, 4, 2, 2, 1, 4, 4, 3, 3, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 0, 2, 1, 4, 0, 2, 3, 0, 1, 4, 2, 2, 3, 3, 4, 1, 1, 3, 3, 0, 3, 3, 0, 0, 2, 3, 3, 1, 1, 1, 4, 3, 2, 0, 3, 3, 2, 2, 2, 1, 2, 3, 4, 2, 2, 4, 1, 4, 0, 3, 2, 2, 0, 1, 4, 4, 2, 0, 1, 4, 0, 4, 2, 0, 0, 2, 3, 1, 3, 1, 4, 0, 2, 4, 0, 2, 0, 4, 1, 1, 2, 2, 0, 1, 2, 4, 3, 4, 4, 3, 4, 0, 0, 4, 4, 4, 3, 4, 1, 2, 0, 0, 0, 3, 2, 2, 2, 0, 2, 1, 3, 1, 1, 4, 4, 0, 4, 4, 1, 2, 3, 2, 1, 4, 1, 3, 2, 4, 1, 4, 4, 3, 2, 2, 1, 2, 4, 0, 1, 4, 1, 3, 0, 1, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 4, 1, 1, 3, 0, 1, 1, 3, 1, 4, 3, 0, 1, 2, 3, 0, 3, 3, 1, 2, 4, 3, 1, 0, 4, 1, 1, 0, 1, 0, 1, 4, 2, 1, 3, 2, 0, 0, 0, 3, 2, 2, 3, 3, 0, 4, 4, 1, 4, 4, 3, 1, 3, 0, 0, 3, 4, 3, 2, 0, 0, 4, 0, 1, 2, 3, 3, 4, 3, 4, 1, 1, 0, 3, 2, 1, 0, 2, 3, 1, 4, 2, 4, 1, 0, 4, 2] pubkeycol832 = [4, 0, 3, 2, 2, 0, 4, 1, 3, 2, 3, 4, 0, 1, 4, 0, 2, 0, 1, 2, 3, 2, 1, 0, 3, 3, 3, 2, 1, 3, 1, 4, 0, 0, 4, 1, 3, 2, 2, 1, 3, 3, 4, 2, 2, 2, 3, 2, 2, 0, 3, 0, 3, 4, 4, 2, 1, 3, 4, 2, 0, 1, 4, 4, 1, 1, 2, 1, 0, 0, 2, 0, 3, 3, 4, 1, 4, 1, 2, 3, 0, 2, 4, 0, 4, 1, 2, 2, 1, 3, 2, 0, 0, 3, 0, 4, 4, 2, 0, 2, 1, 2, 1, 0, 3, 2, 4, 1, 1, 4, 2, 4, 1, 0, 1, 2, 2, 2, 3, 2, 0, 4, 4, 4, 3, 1, 2, 4, 3, 0, 0, 3, 0, 1, 3, 1, 2, 0, 1, 0, 0, 2, 3, 2, 3, 1, 0, 2, 3, 4, 2, 4, 2, 4, 3, 1, 4, 0, 2, 1, 4, 2, 2, 3, 1, 0, 4, 0, 3, 3, 1, 3, 4, 2, 3, 0, 1, 1, 1, 2, 2, 1, 4, 2, 0, 2, 1, 2, 2, 4, 0, 1, 1, 3, 3, 0, 4, 1, 1, 1, 2, 2, 2, 1, 0, 1, 3, 4, 1, 1, 4, 4, 3, 3, 1, 1, 2, 0, 1, 4, 3, 2, 1, 4, 4, 3, 3, 4, 1, 3, 3, 1, 2, 1, 4, 1, 2, 4, 2, 0, 4, 2, 4, 2, 2, 3, 3, 3, 3, 3, 3, 1, 3, 1, 4, 3, 2, 4, 3, 0, 4, 1, 3, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 4, 4, 3, 1, 0, 0, 2, 2, 1, 1, 1, 4, 3, 2, 0, 3, 2, 3, 4, 0, 2, 4, 3, 2, 3, 1, 4, 1, 4, 3, 4, 4, 1, 1, 1, 1, 1, 2, 3, 4, 1, 2, 2, 2, 1, 4, 3, 4, 3, 4, 4, 3, 4, 3, 2, 0, 3, 4, 4, 0, 3, 4, 2, 1, 1, 4, 1, 4, 1, 3, 3, 3, 2, 1, 4, 2, 3, 0, 4, 0, 4, 0, 4, 2, 4, 3, 4, 4, 0, 1, 2, 1, 1, 4, 1, 2, 2, 0, 0, 3, 4, 1, 3, 3, 1, 3, 1, 4, 3, 0, 1, 0, 2, 3, 3, 0, 2, 4, 2, 4, 0, 4] pubkeycol833 = [3, 2, 2, 0, 1, 0, 0, 3, 4, 4, 2, 4, 4, 2, 2, 4, 0, 3, 3, 4, 0, 1, 4, 2, 4, 4, 4, 1, 4, 4, 1, 1, 1, 1, 2, 2, 1, 0, 4, 2, 1, 3, 2, 3, 3, 0, 0, 4, 3, 1, 3, 2, 0, 4, 3, 4, 0, 1, 4, 0, 1, 2, 1, 4, 1, 0, 2, 2, 4, 0, 1, 0, 4, 3, 1, 4, 3, 0, 3, 2, 1, 3, 3, 1, 1, 0, 1, 3, 3, 2, 0, 1, 4, 0, 3, 2, 3, 0, 2, 2, 3, 4, 4, 4, 2, 3, 3, 4, 2, 3, 1, 3, 1, 0, 1, 2, 0, 2, 1, 2, 4, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 3, 4, 0, 2, 1, 3, 2, 0, 3, 2, 1, 0, 1, 3, 1, 3, 0, 3, 2, 4, 1, 2, 4, 1, 0, 2, 4, 1, 1, 0, 1, 4, 3, 3, 4, 1, 1, 3, 2, 4, 4, 2, 0, 0, 1, 3, 2, 1, 4, 2, 2, 2, 1, 1, 4, 2, 2, 2, 4, 2, 2, 0, 0, 2, 0, 0, 0, 4, 0, 4, 3, 4, 2, 0, 0, 3, 0, 1, 3, 0, 0, 1, 0, 4, 2, 2, 2, 1, 4, 4, 3, 2, 2, 0, 3, 0, 1, 3, 0, 4, 0, 4, 4, 0, 2, 3, 1, 1, 3, 0, 4, 0, 4, 3, 3, 0, 0, 0, 1, 3, 0, 1, 2, 2, 3, 3, 1, 4, 3, 0, 4, 1, 1, 1, 3, 1, 4, 2, 4, 0, 2, 0, 2, 1, 1, 3, 2, 2, 4, 2, 0, 3, 0, 1, 3, 4, 3, 0, 2, 1, 2, 1, 3, 2, 1, 3, 0, 2, 2, 3, 4, 0, 2, 0, 3, 0, 1, 4, 2, 1, 4, 4, 1, 2, 0, 2, 3, 0, 0, 3, 1, 1, 1, 2, 2, 4, 2, 1, 1, 1, 4, 1, 3, 1, 1, 3, 0, 1, 3, 2, 3, 4, 0, 0, 2, 3, 1, 0, 3, 0, 2, 2, 1, 0, 4, 1, 1, 3, 1, 0, 2, 0, 2, 2, 4, 4, 1, 4, 3, 3, 4, 1, 1, 4, 0, 0, 3, 4, 0, 0, 2, 4, 2, 1, 1, 4, 1, 1, 1, 4, 1, 2, 4, 3, 2, 0, 1, 1, 2] pubkeycol834 = [4, 4, 3, 0, 1, 2, 2, 4, 2, 2, 1, 4, 2, 2, 1, 1, 0, 1, 4, 4, 2, 1, 4, 0, 1, 1, 0, 0, 0, 2, 2, 4, 3, 1, 4, 3, 4, 2, 1, 1, 1, 1, 2, 0, 1, 4, 4, 0, 4, 0, 2, 3, 1, 1, 2, 3, 3, 4, 1, 0, 1, 0, 2, 2, 0, 2, 3, 2, 2, 4, 4, 3, 0, 2, 1, 4, 3, 1, 4, 3, 3, 4, 2, 4, 3, 0, 2, 4, 3, 1, 1, 2, 2, 2, 0, 1, 3, 3, 2, 3, 0, 0, 2, 0, 3, 0, 2, 3, 4, 2, 2, 3, 2, 4, 2, 3, 1, 4, 1, 4, 1, 0, 4, 1, 0, 4, 0, 4, 0, 4, 4, 1, 4, 2, 0, 3, 3, 4, 1, 3, 4, 4, 3, 1, 3, 2, 4, 3, 3, 3, 0, 2, 4, 4, 0, 1, 4, 1, 3, 3, 0, 0, 4, 0, 0, 2, 3, 0, 3, 0, 3, 0, 0, 0, 1, 2, 3, 1, 1, 1, 1, 4, 4, 4, 2, 3, 2, 2, 4, 2, 3, 0, 3, 4, 4, 1, 1, 1, 4, 4, 4, 3, 3, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 4, 0, 3, 0, 1, 2, 1, 3, 2, 2, 3, 2, 2, 0, 3, 0, 3, 1, 2, 4, 3, 3, 2, 4, 3, 3, 3, 3, 3, 2, 2, 1, 2, 4, 0, 0, 3, 1, 4, 1, 3, 4, 2, 3, 2, 4, 4, 3, 2, 1, 1, 3, 4, 2, 3, 4, 0, 1, 1, 4, 3, 0, 2, 0, 0, 1, 2, 2, 3, 3, 2, 4, 2, 4, 2, 0, 3, 0, 2, 3, 2, 3, 1, 3, 4, 0, 3, 1, 2, 1, 3, 1, 0, 1, 1, 4, 0, 0, 3, 0, 2, 3, 4, 2, 0, 0, 1, 2, 2, 1, 0, 4, 2, 3, 2, 4, 4, 3, 1, 1, 3, 1, 0, 1, 4, 1, 0, 0, 1, 4, 1, 3, 1, 1, 3, 4, 4, 0, 0, 2, 4, 0, 4, 0, 3, 2, 4, 3, 2, 0, 4, 0, 1, 2, 4, 0, 2, 3, 3, 2, 1, 1, 4, 4, 2, 0, 1, 3, 2, 4, 2, 4, 4, 1, 4, 0, 1, 3, 3, 0, 3, 2, 2, 1, 4, 0, 1] pubkeycol835 = [1, 2, 4, 2, 2, 1, 0, 3, 4, 0, 3, 3, 4, 0, 2, 2, 1, 3, 2, 4, 4, 1, 2, 4, 0, 3, 3, 1, 2, 1, 1, 2, 1, 4, 0, 0, 1, 2, 3, 3, 4, 4, 4, 3, 0, 3, 1, 0, 4, 0, 1, 0, 4, 0, 4, 1, 3, 3, 0, 4, 0, 4, 3, 1, 3, 3, 4, 0, 2, 1, 0, 4, 2, 2, 4, 2, 4, 1, 3, 2, 0, 3, 3, 4, 1, 3, 0, 1, 4, 1, 1, 3, 2, 3, 4, 3, 4, 0, 1, 3, 2, 4, 3, 1, 3, 0, 4, 3, 0, 3, 4, 2, 3, 2, 3, 2, 1, 0, 0, 2, 4, 1, 2, 1, 1, 2, 2, 4, 3, 1, 3, 1, 3, 1, 1, 2, 2, 4, 2, 4, 2, 0, 1, 0, 2, 3, 1, 4, 0, 1, 0, 4, 3, 2, 2, 3, 2, 1, 3, 1, 0, 3, 3, 0, 1, 2, 0, 2, 1, 2, 4, 2, 4, 0, 1, 0, 0, 4, 3, 0, 2, 2, 2, 3, 4, 0, 3, 3, 4, 0, 2, 2, 3, 1, 4, 2, 1, 0, 1, 4, 0, 4, 3, 3, 2, 2, 3, 4, 2, 4, 4, 0, 0, 3, 0, 1, 2, 3, 3, 0, 2, 3, 0, 1, 3, 2, 0, 4, 0, 1, 3, 4, 1, 4, 4, 0, 1, 1, 1, 3, 4, 2, 1, 1, 0, 2, 4, 2, 3, 4, 2, 4, 0, 1, 0, 2, 0, 2, 3, 0, 1, 1, 0, 3, 2, 1, 2, 4, 4, 4, 0, 3, 0, 3, 4, 2, 2, 4, 0, 1, 0, 0, 1, 4, 2, 2, 1, 1, 3, 1, 0, 0, 3, 0, 3, 0, 0, 0, 4, 0, 3, 4, 3, 4, 4, 2, 0, 2, 1, 4, 0, 3, 3, 3, 4, 1, 0, 4, 3, 1, 1, 2, 3, 4, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 3, 0, 1, 0, 3, 3, 1, 3, 0, 3, 4, 2, 4, 4, 1, 3, 4, 0, 0, 1, 3, 4, 1, 4, 0, 0, 4, 2, 4, 4, 0, 4, 1, 4, 3, 2, 3, 3, 2, 4, 2, 4, 0, 1, 3, 0, 4, 1, 4, 3, 0, 1, 2, 3, 1, 2, 3, 2, 0, 1, 0, 3, 2] pubkeycol836 = [0, 3, 4, 0, 1, 4, 2, 3, 3, 0, 2, 0, 4, 2, 1, 3, 3, 1, 1, 3, 3, 4, 3, 0, 1, 3, 3, 0, 0, 0, 0, 3, 0, 1, 1, 2, 4, 2, 1, 4, 4, 1, 3, 3, 3, 4, 1, 0, 2, 0, 3, 4, 4, 0, 4, 4, 3, 3, 2, 0, 2, 1, 2, 0, 1, 4, 4, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 3, 3, 2, 2, 1, 4, 2, 1, 3, 2, 4, 1, 2, 2, 2, 4, 4, 0, 0, 4, 3, 2, 3, 1, 4, 2, 0, 4, 1, 0, 3, 1, 2, 1, 2, 3, 4, 4, 3, 4, 3, 1, 4, 2, 3, 4, 3, 3, 1, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 4, 3, 0, 2, 4, 0, 1, 0, 3, 3, 2, 4, 3, 4, 2, 1, 1, 2, 0, 2, 2, 4, 2, 4, 4, 2, 3, 0, 4, 3, 3, 1, 2, 4, 2, 1, 4, 0, 4, 3, 1, 2, 2, 0, 0, 4, 0, 4, 0, 2, 3, 2, 1, 2, 2, 0, 2, 4, 1, 3, 3, 4, 2, 3, 0, 0, 0, 2, 3, 2, 3, 3, 3, 2, 2, 2, 3, 0, 2, 4, 1, 3, 0, 3, 4, 1, 3, 0, 3, 3, 1, 3, 2, 0, 1, 2, 4, 0, 0, 2, 4, 3, 3, 3, 4, 4, 3, 1, 2, 3, 2, 4, 2, 4, 0, 1, 4, 3, 0, 1, 4, 4, 1, 4, 4, 3, 3, 4, 4, 1, 1, 2, 3, 0, 1, 4, 3, 0, 3, 4, 3, 1, 3, 0, 3, 4, 3, 2, 4, 3, 2, 4, 3, 0, 3, 0, 3, 2, 0, 2, 4, 4, 0, 3, 1, 0, 3, 4, 2, 1, 0, 3, 0, 1, 0, 3, 2, 3, 1, 3, 4, 3, 1, 1, 0, 2, 0, 4, 3, 3, 0, 3, 4, 4, 1, 0, 2, 0, 4, 0, 3, 0, 0, 3, 3, 1, 1, 1, 2, 2, 3, 0, 2, 3, 3, 1, 0, 0, 2, 4, 1, 2, 4, 4, 0, 4, 0, 1, 3, 3, 0, 2, 2, 4, 1, 1, 3, 4, 4, 3, 2, 3, 1, 1, 4, 3] pubkeycol837 = [4, 4, 1, 3, 0, 1, 1, 3, 4, 3, 3, 3, 4, 4, 2, 2, 0, 1, 3, 1, 1, 0, 0, 3, 3, 1, 2, 3, 2, 4, 2, 1, 3, 1, 2, 1, 0, 1, 0, 4, 4, 1, 1, 1, 2, 3, 0, 0, 0, 4, 2, 2, 4, 1, 1, 4, 3, 1, 2, 3, 1, 2, 3, 3, 1, 1, 0, 2, 4, 3, 3, 1, 2, 0, 4, 1, 0, 2, 0, 2, 1, 3, 1, 4, 0, 4, 3, 3, 0, 2, 2, 4, 3, 4, 1, 2, 4, 0, 4, 0, 1, 4, 0, 1, 1, 1, 3, 1, 4, 3, 1, 2, 4, 4, 4, 0, 4, 0, 4, 2, 4, 4, 4, 4, 1, 0, 3, 3, 0, 1, 1, 2, 2, 1, 0, 3, 4, 2, 3, 2, 1, 3, 3, 2, 4, 4, 4, 3, 2, 3, 2, 1, 1, 4, 4, 0, 4, 1, 4, 3, 4, 1, 4, 1, 2, 1, 2, 4, 0, 4, 4, 4, 4, 4, 1, 3, 3, 1, 1, 0, 0, 3, 2, 0, 4, 3, 3, 3, 1, 2, 3, 0, 0, 0, 2, 4, 3, 3, 0, 1, 2, 1, 3, 3, 2, 0, 3, 2, 1, 2, 1, 0, 1, 0, 3, 2, 3, 4, 1, 3, 4, 3, 1, 0, 4, 3, 4, 4, 3, 3, 1, 4, 2, 4, 1, 2, 1, 4, 1, 3, 2, 1, 2, 1, 1, 2, 4, 1, 2, 1, 3, 0, 2, 3, 2, 1, 0, 1, 2, 4, 3, 0, 3, 3, 3, 2, 0, 3, 3, 3, 1, 2, 2, 3, 4, 4, 1, 2, 1, 4, 3, 0, 1, 3, 4, 4, 0, 2, 4, 1, 1, 1, 0, 1, 1, 0, 4, 1, 0, 3, 3, 3, 4, 1, 3, 2, 0, 4, 1, 3, 4, 1, 1, 4, 0, 1, 0, 0, 1, 4, 2, 3, 2, 0, 4, 3, 1, 1, 2, 4, 2, 1, 1, 4, 1, 0, 4, 0, 4, 0, 2, 3, 4, 0, 2, 4, 0, 2, 3, 1, 2, 3, 2, 4, 0, 0, 1, 1, 0, 1, 0, 0, 4, 4, 0, 3, 4, 3, 4, 4, 1, 3, 4, 1, 2, 0, 0, 3, 1, 1, 4, 1, 2, 0, 4, 0, 1, 0, 4, 4, 2, 2, 0, 3, 1, 0, 0, 3, 3, 2] pubkeycol838 = [3, 3, 4, 4, 0, 4, 3, 2, 3, 2, 3, 1, 1, 3, 2, 4, 4, 2, 0, 2, 4, 2, 2, 3, 1, 3, 0, 1, 3, 1, 4, 0, 0, 1, 4, 3, 3, 4, 0, 4, 4, 0, 1, 4, 4, 2, 4, 4, 2, 1, 3, 0, 1, 4, 4, 3, 2, 4, 4, 2, 3, 1, 3, 4, 3, 1, 4, 4, 2, 2, 4, 4, 1, 2, 3, 1, 2, 3, 0, 4, 1, 4, 2, 2, 4, 4, 3, 0, 3, 4, 1, 4, 4, 0, 4, 2, 2, 3, 1, 3, 2, 2, 2, 4, 0, 3, 1, 1, 3, 3, 3, 1, 2, 3, 3, 4, 1, 3, 2, 4, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 3, 4, 4, 0, 4, 3, 4, 2, 1, 1, 3, 3, 2, 2, 4, 2, 1, 0, 2, 1, 2, 1, 2, 4, 1, 2, 4, 4, 4, 2, 0, 0, 3, 2, 3, 4, 1, 3, 2, 2, 4, 3, 3, 0, 3, 4, 3, 1, 0, 4, 3, 0, 4, 2, 1, 4, 3, 2, 4, 0, 0, 4, 0, 2, 1, 3, 1, 0, 0, 2, 4, 1, 3, 2, 3, 2, 4, 4, 0, 0, 1, 4, 0, 4, 3, 0, 2, 0, 2, 0, 4, 3, 3, 3, 4, 3, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 3, 3, 4, 2, 4, 0, 3, 3, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 4, 4, 0, 3, 0, 2, 2, 3, 0, 1, 3, 1, 3, 0, 4, 2, 0, 2, 3, 4, 1, 2, 4, 2, 4, 4, 3, 3, 4, 0, 1, 3, 0, 2, 3, 2, 0, 2, 1, 4, 3, 0, 2, 3, 2, 2, 1, 3, 2, 0, 4, 0, 1, 2, 3, 0, 1, 4, 3, 2, 0, 4, 3, 0, 3, 1, 4, 1, 0, 1, 4, 3, 4, 0, 0, 3, 4, 1, 4, 0, 3, 1, 1, 3, 3, 2, 2, 2, 4, 1, 4, 4, 3, 4, 3, 0, 3, 2, 4, 4, 1, 3, 2, 3, 3, 3, 4, 0, 1, 3, 2, 4, 1, 1, 2, 2, 0, 3, 4, 2, 0, 2, 2, 2, 0, 4, 3, 3, 4, 3, 4, 1, 1, 4, 3, 3, 1, 2, 3, 4, 1, 3, 3, 0, 1] pubkeycol839 = [1, 2, 3, 2, 3, 1, 4, 0, 4, 4, 2, 3, 2, 3, 4, 4, 3, 1, 4, 2, 1, 0, 3, 1, 4, 1, 2, 1, 2, 3, 3, 2, 1, 1, 0, 4, 0, 2, 0, 1, 2, 3, 2, 3, 2, 4, 2, 0, 2, 1, 4, 4, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 1, 1, 2, 3, 3, 0, 1, 3, 2, 0, 3, 1, 2, 2, 4, 4, 3, 1, 4, 1, 0, 2, 0, 2, 3, 2, 2, 4, 3, 4, 4, 1, 3, 4, 2, 0, 4, 3, 1, 1, 0, 4, 4, 2, 0, 4, 3, 3, 3, 3, 0, 0, 2, 4, 3, 2, 0, 1, 3, 0, 2, 3, 3, 4, 3, 3, 4, 4, 2, 1, 4, 2, 1, 3, 4, 4, 0, 2, 1, 0, 1, 3, 3, 3, 3, 0, 4, 1, 3, 2, 2, 2, 4, 0, 2, 1, 2, 3, 0, 0, 1, 0, 2, 2, 0, 2, 4, 3, 4, 0, 4, 1, 0, 0, 2, 4, 4, 4, 0, 1, 2, 2, 3, 0, 0, 4, 2, 4, 1, 1, 2, 3, 4, 0, 1, 3, 0, 3, 4, 2, 2, 4, 3, 2, 3, 4, 1, 3, 0, 0, 4, 2, 3, 2, 4, 3, 2, 3, 1, 0, 1, 4, 3, 3, 1, 0, 3, 3, 2, 1, 0, 0, 3, 3, 1, 0, 3, 0, 1, 2, 3, 0, 4, 0, 4, 2, 3, 2, 1, 0, 3, 1, 0, 2, 4, 3, 3, 0, 3, 4, 2, 4, 2, 2, 1, 2, 1, 2, 4, 3, 0, 2, 1, 0, 1, 3, 2, 0, 4, 0, 3, 0, 2, 3, 4, 3, 4, 1, 2, 0, 2, 4, 3, 0, 0, 0, 4, 2, 0, 2, 4, 2, 2, 4, 0, 2, 3, 2, 0, 2, 3, 2, 0, 0, 4, 3, 1, 2, 4, 0, 4, 0, 3, 0, 2, 1, 3, 4, 2, 3, 2, 2, 1, 4, 2, 0, 0, 1, 4, 1, 4, 1, 1, 1, 4, 2, 1, 3, 1, 1, 0, 0, 0, 4, 1, 4, 0, 3, 2, 3, 0, 3, 0, 3, 1, 0, 2, 3, 1, 2, 2, 1, 4, 2, 1, 2, 2, 0, 0, 2, 1, 4, 0, 2, 4, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 4, 2] pubkeycol840 = [2, 2, 4, 3, 1, 3, 4, 4, 2, 0, 4, 3, 0, 2, 0, 4, 0, 2, 2, 0, 3, 0, 2, 1, 3, 4, 2, 4, 1, 0, 3, 1, 3, 4, 3, 1, 2, 2, 0, 3, 3, 3, 1, 1, 4, 4, 4, 0, 1, 2, 4, 4, 2, 0, 2, 0, 2, 3, 4, 0, 4, 1, 4, 1, 2, 2, 1, 1, 2, 1, 4, 3, 1, 1, 1, 0, 1, 0, 1, 3, 1, 0, 0, 3, 0, 2, 2, 3, 4, 0, 0, 2, 3, 0, 0, 4, 2, 0, 4, 3, 0, 0, 4, 3, 2, 2, 1, 3, 1, 2, 2, 2, 3, 2, 0, 1, 1, 1, 1, 3, 2, 3, 3, 3, 4, 2, 4, 3, 1, 3, 1, 1, 1, 3, 4, 4, 3, 0, 1, 3, 0, 4, 2, 3, 1, 1, 3, 0, 3, 0, 0, 2, 2, 1, 1, 4, 2, 4, 1, 3, 1, 4, 2, 4, 3, 2, 3, 4, 0, 1, 0, 1, 0, 1, 4, 3, 3, 1, 4, 2, 3, 2, 2, 3, 3, 2, 2, 1, 4, 3, 4, 1, 3, 1, 2, 3, 2, 0, 1, 0, 2, 4, 0, 1, 3, 2, 0, 2, 1, 2, 1, 1, 4, 2, 1, 4, 3, 4, 0, 1, 4, 2, 3, 2, 0, 2, 4, 4, 4, 1, 2, 0, 0, 2, 1, 1, 1, 4, 1, 1, 3, 2, 2, 1, 1, 4, 2, 1, 0, 4, 1, 0, 3, 4, 3, 4, 1, 1, 1, 3, 4, 2, 4, 4, 1, 2, 1, 4, 4, 4, 0, 1, 3, 1, 4, 2, 1, 3, 1, 4, 1, 2, 3, 1, 0, 1, 2, 0, 4, 1, 3, 2, 3, 1, 0, 1, 3, 1, 3, 0, 2, 0, 1, 2, 1, 0, 0, 0, 4, 4, 0, 0, 3, 3, 2, 0, 1, 1, 0, 4, 3, 1, 1, 1, 4, 4, 4, 0, 2, 1, 3, 4, 1, 2, 3, 2, 0, 2, 2, 1, 0, 4, 0, 4, 0, 3, 3, 1, 0, 2, 0, 2, 0, 3, 4, 3, 3, 4, 4, 2, 1, 4, 3, 4, 2, 3, 1, 4, 1, 3, 1, 0, 2, 2, 4, 4, 3, 3, 3, 1, 3, 3, 0, 3, 1, 3, 0, 1, 2, 2, 0, 4, 4, 0, 1, 0, 2, 4, 2, 1] pubkeycol841 = [0, 2, 2, 3, 3, 1, 4, 3, 1, 2, 2, 1, 4, 3, 3, 3, 1, 2, 1, 1, 3, 4, 3, 0, 3, 4, 1, 4, 4, 0, 1, 1, 0, 3, 4, 0, 1, 3, 0, 3, 1, 2, 2, 0, 2, 2, 1, 1, 4, 0, 3, 2, 4, 0, 1, 0, 4, 4, 1, 0, 0, 2, 1, 2, 2, 4, 4, 1, 0, 4, 0, 0, 0, 3, 3, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3, 4, 4, 0, 0, 2, 0, 4, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 4, 4, 0, 0, 4, 1, 3, 0, 2, 4, 0, 0, 4, 1, 2, 1, 0, 4, 2, 1, 3, 3, 1, 0, 2, 1, 0, 2, 4, 0, 4, 2, 2, 0, 1, 2, 0, 4, 2, 1, 0, 3, 4, 2, 2, 4, 0, 4, 1, 3, 0, 2, 0, 3, 2, 4, 0, 0, 3, 1, 2, 0, 2, 3, 4, 2, 2, 0, 2, 2, 2, 2, 3, 3, 3, 3, 4, 0, 2, 0, 0, 4, 0, 1, 1, 2, 1, 1, 3, 3, 2, 2, 3, 4, 3, 0, 2, 3, 1, 3, 2, 2, 4, 2, 3, 3, 2, 4, 1, 2, 1, 0, 0, 3, 1, 3, 0, 1, 1, 4, 3, 0, 0, 3, 3, 4, 1, 0, 4, 4, 0, 2, 3, 1, 2, 2, 1, 3, 0, 4, 0, 4, 0, 4, 2, 3, 2, 0, 4, 4, 3, 3, 0, 4, 3, 2, 2, 2, 3, 4, 4, 2, 4, 0, 1, 3, 0, 0, 2, 1, 1, 2, 1, 3, 0, 3, 2, 1, 0, 3, 4, 0, 1, 0, 4, 2, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 2, 0, 2, 2, 3, 0, 0, 1, 2, 1, 3, 3, 1, 0, 1, 3, 2, 3, 4, 4, 4, 1, 1, 2, 2, 0, 3, 1, 3, 1, 0, 3, 0, 2, 4, 0, 2, 2, 1, 3, 1, 3, 4, 2, 0, 2, 1, 0, 4, 4, 0, 4, 2, 4, 3, 1, 0, 2, 1, 0, 2, 1, 3, 0, 2, 4, 4, 1, 1, 4, 3, 4, 2, 2, 3, 3, 4, 1, 2, 2, 4, 1, 2, 3, 4, 0, 2, 3, 3, 3, 3, 4, 2, 1, 4, 1, 0, 2, 0, 0] pubkeycol842 = [4, 3, 4, 0, 1, 2, 3, 3, 3, 0, 3, 2, 0, 4, 3, 3, 1, 1, 3, 4, 0, 0, 1, 1, 3, 3, 1, 1, 3, 1, 3, 0, 2, 0, 0, 4, 4, 2, 2, 3, 2, 3, 4, 1, 0, 4, 2, 2, 1, 3, 3, 0, 1, 2, 1, 3, 4, 2, 3, 4, 3, 3, 4, 2, 0, 0, 2, 4, 0, 3, 2, 0, 0, 1, 0, 3, 3, 0, 4, 2, 4, 2, 3, 3, 2, 2, 4, 0, 3, 3, 0, 4, 3, 1, 4, 3, 0, 1, 4, 4, 1, 4, 1, 0, 1, 2, 1, 2, 2, 4, 2, 0, 1, 2, 3, 0, 1, 0, 0, 0, 3, 3, 4, 0, 3, 4, 4, 0, 2, 0, 2, 0, 1, 0, 0, 4, 2, 0, 3, 0, 2, 4, 4, 2, 2, 0, 1, 0, 3, 3, 4, 2, 3, 0, 1, 3, 4, 4, 0, 3, 2, 1, 2, 2, 3, 3, 2, 1, 3, 4, 3, 4, 0, 2, 1, 0, 4, 4, 2, 3, 3, 2, 2, 1, 1, 3, 0, 4, 2, 3, 1, 3, 2, 1, 4, 2, 4, 1, 3, 1, 0, 0, 0, 1, 0, 1, 3, 3, 1, 2, 0, 0, 1, 4, 0, 1, 1, 2, 2, 1, 1, 2, 3, 0, 4, 4, 0, 4, 0, 3, 1, 4, 0, 1, 2, 3, 0, 2, 0, 4, 2, 0, 3, 1, 3, 0, 1, 4, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 4, 1, 0, 4, 3, 1, 4, 0, 2, 1, 0, 4, 0, 3, 2, 2, 0, 2, 0, 1, 4, 1, 0, 2, 3, 1, 1, 0, 1, 3, 2, 3, 2, 2, 3, 1, 4, 4, 2, 2, 4, 4, 3, 0, 3, 4, 1, 4, 0, 4, 2, 2, 1, 2, 0, 0, 4, 0, 0, 3, 2, 3, 1, 4, 2, 1, 2, 3, 4, 0, 0, 4, 4, 4, 1, 0, 1, 2, 0, 0, 0, 4, 0, 3, 0, 2, 3, 3, 4, 3, 3, 0, 2, 0, 3, 3, 3, 0, 0, 1, 2, 2, 4, 4, 0, 1, 1, 0, 2, 2, 4, 2, 1, 1, 2, 3, 4, 0, 4, 1, 4, 3, 0, 2, 3, 4, 4, 0, 1, 2, 4, 3, 2, 2, 0, 2, 4, 1, 2, 3, 3, 2] pubkeycol843 = [2, 1, 2, 3, 1, 3, 0, 0, 0, 4, 1, 0, 4, 3, 1, 0, 2, 1, 2, 1, 2, 0, 4, 2, 2, 4, 2, 1, 0, 3, 4, 3, 1, 0, 3, 2, 3, 0, 1, 4, 2, 0, 2, 3, 4, 1, 0, 0, 2, 1, 2, 0, 4, 0, 4, 3, 1, 3, 1, 0, 1, 0, 4, 3, 1, 1, 2, 2, 1, 4, 4, 3, 0, 0, 2, 1, 1, 3, 4, 2, 4, 0, 3, 3, 1, 2, 2, 1, 0, 1, 0, 3, 0, 0, 2, 2, 2, 1, 4, 2, 1, 1, 4, 0, 1, 1, 3, 3, 3, 2, 1, 1, 3, 2, 1, 2, 4, 3, 0, 0, 2, 4, 4, 1, 1, 0, 1, 1, 4, 2, 3, 1, 2, 1, 2, 0, 1, 3, 1, 2, 1, 3, 4, 4, 2, 2, 3, 3, 1, 0, 2, 2, 4, 1, 4, 3, 3, 4, 2, 2, 3, 1, 1, 1, 3, 2, 0, 0, 1, 4, 0, 3, 2, 4, 1, 2, 2, 2, 2, 4, 0, 0, 4, 3, 3, 1, 4, 3, 2, 3, 4, 3, 3, 2, 3, 4, 0, 2, 3, 2, 3, 1, 4, 1, 2, 2, 1, 2, 1, 0, 4, 4, 2, 4, 2, 4, 4, 1, 4, 0, 3, 3, 3, 1, 1, 4, 1, 3, 4, 3, 4, 2, 1, 2, 0, 0, 0, 0, 3, 3, 2, 3, 4, 2, 1, 4, 0, 2, 0, 4, 3, 4, 1, 1, 1, 4, 2, 4, 1, 3, 0, 3, 0, 4, 4, 1, 2, 3, 1, 2, 4, 0, 1, 3, 4, 4, 3, 3, 4, 2, 1, 3, 1, 1, 4, 0, 2, 3, 2, 1, 1, 3, 4, 1, 2, 3, 2, 4, 0, 0, 0, 3, 0, 2, 3, 2, 1, 1, 1, 4, 3, 1, 4, 1, 2, 0, 3, 3, 3, 3, 3, 1, 0, 1, 3, 3, 2, 1, 2, 3, 2, 2, 2, 0, 0, 1, 4, 4, 2, 0, 3, 1, 3, 2, 2, 2, 4, 0, 1, 2, 3, 1, 0, 3, 0, 1, 1, 4, 1, 1, 0, 4, 0, 0, 0, 2, 3, 1, 3, 2, 0, 2, 0, 2, 1, 4, 3, 3, 2, 2, 3, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 3, 3, 1, 2, 0, 3, 4, 4, 2] pubkeycol844 = [3, 2, 1, 3, 3, 2, 2, 1, 1, 1, 4, 4, 1, 1, 4, 1, 4, 3, 3, 4, 3, 3, 1, 3, 4, 0, 2, 2, 1, 4, 1, 0, 3, 1, 4, 0, 0, 0, 4, 1, 3, 0, 2, 0, 1, 4, 1, 1, 1, 2, 4, 2, 3, 0, 1, 3, 0, 4, 4, 2, 4, 3, 1, 3, 4, 0, 2, 4, 3, 2, 0, 3, 1, 3, 0, 2, 1, 4, 1, 2, 3, 3, 3, 2, 4, 2, 2, 0, 3, 1, 1, 4, 3, 2, 3, 4, 3, 2, 4, 1, 3, 4, 1, 4, 2, 4, 4, 2, 2, 4, 1, 2, 3, 0, 4, 2, 1, 4, 1, 0, 0, 0, 0, 2, 1, 3, 3, 1, 4, 1, 3, 1, 4, 4, 2, 0, 1, 4, 1, 0, 2, 0, 1, 0, 2, 0, 4, 0, 2, 0, 0, 1, 1, 4, 0, 1, 1, 3, 3, 4, 2, 3, 2, 0, 3, 1, 1, 1, 4, 4, 0, 2, 2, 0, 4, 0, 1, 1, 2, 2, 2, 3, 0, 3, 0, 3, 3, 1, 1, 3, 4, 3, 4, 4, 0, 3, 3, 3, 3, 4, 0, 4, 0, 0, 0, 0, 1, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 0, 1, 3, 0, 0, 4, 2, 4, 1, 4, 3, 4, 0, 0, 3, 1, 1, 1, 3, 4, 0, 4, 4, 0, 3, 1, 3, 2, 2, 4, 2, 0, 3, 2, 2, 3, 1, 2, 4, 2, 0, 3, 2, 4, 0, 1, 4, 3, 4, 0, 1, 2, 4, 3, 4, 2, 4, 2, 0, 4, 0, 3, 4, 0, 4, 1, 1, 2, 0, 2, 0, 4, 1, 3, 1, 4, 2, 3, 3, 0, 1, 2, 1, 4, 0, 4, 3, 4, 4, 4, 2, 3, 1, 1, 3, 2, 4, 2, 2, 4, 2, 3, 1, 2, 4, 2, 0, 4, 3, 4, 4, 2, 4, 2, 4, 2, 4, 0, 2, 2, 3, 0, 1, 2, 2, 2, 0, 1, 4, 0, 0, 4, 0, 2, 0, 3, 2, 0, 2, 1, 4, 4, 4, 4, 4, 2, 3, 0, 0, 3, 3, 4, 0, 2, 4, 4, 0, 0, 0, 2, 2, 0, 4, 3, 3, 2, 3, 3, 2, 0, 2, 4, 2, 1, 0, 1, 3, 2, 4, 1, 2] pubkeycol845 = [1, 3, 2, 3, 1, 3, 4, 0, 0, 4, 4, 0, 0, 0, 1, 4, 0, 4, 2, 4, 3, 3, 4, 2, 0, 0, 0, 4, 2, 4, 4, 3, 3, 2, 0, 3, 1, 3, 1, 0, 1, 1, 0, 4, 2, 0, 3, 2, 3, 4, 4, 0, 4, 4, 0, 0, 0, 3, 0, 1, 1, 1, 4, 3, 3, 0, 0, 1, 1, 0, 1, 4, 3, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 4, 2, 3, 2, 0, 3, 4, 0, 4, 4, 0, 2, 2, 0, 0, 2, 2, 3, 4, 4, 3, 2, 3, 0, 1, 4, 3, 0, 4, 4, 2, 4, 4, 1, 3, 1, 0, 0, 4, 2, 4, 2, 2, 3, 0, 2, 2, 4, 0, 1, 4, 0, 4, 1, 1, 1, 3, 1, 1, 1, 1, 0, 3, 4, 2, 3, 2, 0, 4, 3, 1, 0, 4, 1, 2, 3, 1, 4, 2, 1, 2, 3, 4, 1, 2, 3, 2, 4, 3, 0, 4, 4, 2, 3, 0, 0, 1, 1, 1, 2, 3, 1, 0, 1, 0, 2, 3, 4, 4, 3, 1, 0, 3, 1, 2, 3, 4, 0, 2, 0, 1, 0, 2, 0, 3, 1, 0, 4, 2, 4, 3, 4, 1, 1, 2, 3, 3, 0, 3, 1, 3, 0, 1, 3, 3, 0, 0, 2, 3, 1, 0, 1, 2, 2, 4, 0, 1, 4, 3, 0, 1, 1, 1, 0, 0, 2, 3, 3, 3, 1, 4, 0, 3, 3, 3, 0, 1, 3, 3, 4, 3, 4, 0, 3, 1, 0, 0, 3, 2, 0, 3, 0, 2, 0, 4, 2, 1, 4, 1, 3, 2, 0, 0, 2, 1, 3, 1, 1, 0, 4, 3, 1, 4, 1, 0, 0, 0, 0, 4, 0, 1, 4, 0, 4, 0, 3, 4, 0, 2, 2, 1, 4, 0, 4, 4, 4, 2, 1, 3, 4, 2, 4, 2, 4, 2, 2, 0, 0, 0, 3, 0, 1, 4, 2, 4, 0, 4, 2, 3, 0, 4, 3, 4, 0, 3, 3, 2, 0, 0, 1, 1, 2, 2, 1, 4, 3, 1, 1, 3, 4, 0, 1, 1, 4, 2, 1, 4, 1, 1, 0, 1, 1, 2, 2, 0, 3, 2, 0, 2, 3, 2, 1, 3, 4, 3, 1, 1, 4, 3, 0, 2, 3, 0, 2, 0, 3, 0] pubkeycol846 = [3, 2, 3, 1, 3, 3, 3, 4, 1, 3, 0, 0, 1, 1, 3, 3, 3, 0, 4, 0, 2, 4, 1, 1, 4, 3, 3, 4, 2, 4, 2, 4, 4, 1, 2, 0, 0, 3, 0, 2, 1, 3, 0, 1, 1, 4, 2, 4, 0, 4, 4, 0, 0, 0, 2, 1, 2, 3, 3, 2, 0, 1, 2, 0, 3, 2, 3, 3, 1, 0, 2, 3, 1, 3, 0, 3, 1, 4, 4, 1, 1, 2, 1, 4, 4, 4, 4, 3, 4, 1, 2, 4, 0, 3, 2, 1, 4, 4, 3, 3, 1, 3, 3, 1, 1, 0, 4, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 3, 2, 4, 3, 2, 4, 0, 2, 0, 3, 0, 0, 2, 0, 0, 3, 0, 0, 1, 2, 0, 3, 2, 0, 2, 0, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 4, 0, 0, 3, 1, 0, 0, 4, 3, 3, 2, 4, 1, 0, 4, 4, 1, 4, 3, 3, 2, 4, 3, 1, 3, 4, 0, 3, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 0, 1, 0, 2, 2, 1, 1, 3, 0, 1, 4, 0, 0, 2, 1, 2, 3, 4, 1, 1, 1, 0, 4, 3, 1, 4, 1, 0, 0, 0, 0, 2, 1, 2, 4, 4, 1, 3, 4, 0, 4, 1, 3, 1, 2, 2, 0, 0, 2, 0, 0, 0, 4, 4, 1, 1, 2, 4, 1, 1, 3, 4, 3, 0, 0, 2, 4, 2, 3, 1, 4, 1, 0, 3, 3, 4, 3, 2, 0, 2, 1, 4, 0, 2, 4, 2, 0, 3, 1, 4, 0, 2, 4, 1, 4, 0, 4, 1, 4, 0, 3, 0, 0, 2, 0, 2, 4, 0, 4, 4, 0, 1, 0, 4, 1, 1, 3, 0, 0, 2, 2, 0, 2, 4, 2, 3, 0, 2, 0, 2, 3, 2, 4, 2, 3, 0, 0, 3, 1, 3, 2, 2, 1, 1, 2, 1, 1, 4, 1, 1, 2, 0, 4, 2, 1, 2, 0, 4, 0, 2, 0, 0, 3, 2, 1, 0, 2, 1, 1, 4, 0, 4, 3, 0, 1, 4, 0, 1, 3, 3, 3, 3, 0, 2, 0, 0, 4, 4, 0, 4, 4, 2, 1, 4, 4, 3, 0, 2, 2, 1, 0, 1, 1, 1, 4, 1, 4] pubkeycol847 = [4, 3, 0, 1, 4, 1, 4, 2, 2, 2, 3, 3, 4, 0, 2, 0, 0, 3, 1, 2, 0, 0, 1, 0, 3, 2, 0, 4, 4, 3, 1, 4, 0, 1, 3, 0, 0, 1, 2, 0, 4, 2, 2, 1, 1, 4, 4, 0, 4, 4, 2, 4, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 4, 3, 0, 1, 1, 0, 3, 2, 0, 3, 0, 4, 3, 2, 2, 4, 2, 0, 4, 3, 4, 1, 4, 2, 1, 2, 1, 0, 2, 3, 4, 2, 2, 4, 2, 2, 2, 2, 3, 3, 4, 3, 3, 1, 0, 2, 4, 1, 2, 4, 3, 3, 2, 0, 2, 1, 3, 1, 3, 0, 4, 1, 3, 3, 0, 0, 2, 0, 3, 3, 4, 2, 3, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 2, 2, 4, 4, 3, 2, 2, 1, 0, 4, 0, 4, 2, 4, 2, 0, 4, 2, 1, 0, 3, 0, 3, 1, 2, 4, 4, 0, 3, 1, 4, 0, 4, 1, 0, 1, 1, 2, 4, 1, 0, 1, 2, 2, 2, 3, 4, 2, 4, 3, 2, 3, 0, 2, 2, 3, 0, 2, 4, 4, 4, 1, 2, 3, 2, 4, 0, 0, 0, 1, 0, 1, 0, 3, 1, 0, 1, 2, 4, 4, 1, 2, 4, 4, 0, 4, 4, 3, 3, 3, 4, 3, 4, 0, 3, 0, 3, 1, 3, 4, 2, 4, 1, 4, 2, 3, 3, 3, 2, 3, 2, 2, 1, 4, 3, 3, 3, 3, 1, 0, 4, 4, 0, 1, 2, 3, 1, 0, 1, 2, 0, 1, 2, 1, 3, 0, 0, 3, 0, 4, 2, 3, 0, 3, 4, 2, 2, 4, 1, 3, 1, 4, 3, 2, 4, 4, 2, 0, 3, 2, 3, 1, 3, 0, 3, 1, 4, 4, 0, 2, 2, 2, 0, 3, 0, 0, 1, 4, 2, 3, 3, 4, 3, 2, 3, 4, 2, 2, 0, 4, 2, 0, 1, 4, 0, 3, 1, 1, 0, 0, 3, 3, 4, 0, 0, 4, 1, 1, 0, 3, 1, 1, 1, 0, 2, 4, 3, 2, 0, 1, 3, 3, 2, 1, 3, 1, 2, 0, 4, 2, 0, 4, 2, 1, 0, 2, 1, 3, 0, 3, 0, 3, 1, 1, 2, 4, 1] pubkeycol848 = [0, 1, 2, 1, 4, 0, 3, 3, 4, 3, 0, 3, 4, 1, 0, 3, 1, 4, 2, 3, 1, 3, 3, 1, 0, 4, 2, 1, 1, 1, 3, 1, 0, 3, 1, 0, 2, 2, 3, 2, 1, 3, 3, 1, 0, 3, 1, 1, 2, 1, 1, 0, 1, 1, 4, 3, 0, 2, 3, 1, 1, 1, 1, 0, 0, 0, 2, 2, 3, 4, 3, 2, 4, 4, 2, 4, 4, 1, 4, 0, 3, 2, 0, 2, 3, 0, 2, 3, 4, 1, 3, 4, 2, 4, 0, 3, 0, 1, 4, 4, 2, 1, 4, 0, 4, 1, 2, 3, 2, 1, 3, 4, 2, 0, 0, 0, 0, 4, 0, 3, 1, 3, 1, 2, 0, 0, 2, 4, 4, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 4, 2, 0, 3, 2, 0, 1, 4, 0, 3, 1, 0, 1, 4, 2, 0, 2, 1, 0, 2, 0, 1, 3, 3, 0, 1, 2, 0, 4, 0, 2, 4, 2, 4, 4, 4, 0, 1, 2, 1, 1, 4, 0, 4, 1, 3, 3, 2, 3, 0, 0, 4, 2, 0, 1, 3, 2, 0, 0, 1, 1, 0, 1, 4, 1, 2, 3, 4, 3, 3, 1, 3, 0, 4, 3, 1, 1, 1, 0, 4, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 3, 2, 4, 4, 0, 3, 4, 0, 4, 4, 3, 2, 2, 0, 1, 1, 0, 4, 0, 3, 2, 0, 0, 2, 2, 1, 1, 0, 1, 3, 4, 3, 4, 1, 2, 4, 1, 3, 2, 3, 1, 2, 1, 2, 0, 0, 1, 2, 2, 4, 1, 0, 2, 0, 3, 4, 3, 3, 0, 0, 2, 3, 0, 0, 2, 0, 0, 3, 3, 3, 0, 1, 2, 1, 3, 1, 1, 0, 0, 2, 3, 1, 3, 4, 0, 1, 1, 0, 4, 1, 3, 1, 1, 3, 3, 2, 1, 4, 2, 1, 2, 1, 3, 2, 3, 2, 4, 3, 0, 3, 1, 0, 1, 2, 3, 2, 3, 4, 2, 2, 0, 2, 4, 1, 1, 4, 3, 2, 4, 1, 3, 4, 2, 2, 2, 1, 2, 2, 0, 2, 4, 0, 3, 4, 4, 4, 3, 0, 0, 0, 0, 2, 0, 0, 1, 2, 4, 3, 4, 0, 2, 3, 4, 0] pubkeycol849 = [0, 3, 0, 3, 0, 4, 3, 3, 1, 0, 2, 2, 0, 3, 3, 0, 3, 2, 4, 2, 4, 2, 0, 0, 4, 0, 2, 1, 4, 4, 4, 1, 3, 0, 1, 1, 0, 3, 0, 4, 4, 4, 2, 1, 4, 2, 1, 0, 4, 3, 0, 0, 4, 2, 2, 1, 4, 0, 0, 3, 0, 4, 2, 2, 0, 0, 3, 2, 1, 0, 1, 2, 1, 1, 4, 2, 3, 4, 3, 1, 1, 4, 2, 4, 0, 2, 0, 3, 1, 0, 3, 4, 4, 3, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 3, 4, 0, 3, 4, 2, 3, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 0, 4, 1, 3, 2, 0, 0, 4, 0, 0, 1, 0, 1, 2, 1, 4, 0, 2, 1, 1, 4, 1, 3, 0, 4, 1, 4, 2, 2, 2, 1, 3, 2, 3, 3, 4, 0, 0, 0, 3, 2, 3, 3, 1, 0, 4, 1, 2, 1, 0, 1, 2, 1, 3, 0, 3, 0, 2, 2, 1, 1, 2, 2, 1, 3, 4, 1, 2, 3, 4, 3, 2, 2, 3, 2, 0, 2, 4, 0, 1, 0, 0, 3, 1, 1, 0, 1, 1, 2, 1, 4, 4, 1, 2, 1, 4, 1, 1, 2, 2, 0, 3, 4, 4, 1, 3, 0, 1, 3, 4, 0, 0, 2, 1, 0, 4, 1, 4, 2, 4, 3, 0, 0, 0, 4, 4, 1, 0, 1, 3, 1, 0, 3, 2, 2, 2, 3, 3, 4, 2, 3, 2, 4, 4, 2, 1, 4, 3, 1, 2, 3, 2, 0, 2, 3, 1, 1, 3, 3, 1, 1, 1, 2, 4, 4, 1, 3, 1, 3, 4, 1, 0, 2, 3, 3, 1, 2, 2, 1, 2, 2, 4, 4, 4, 2, 0, 2, 1, 3, 0, 1, 1, 2, 3, 2, 4, 3, 3, 3, 1, 1, 0, 2, 0, 3, 0, 3, 1, 2, 2, 2, 4, 3, 2, 4, 3, 4, 2, 1, 3, 0, 2, 2, 0, 3, 4, 1, 0, 4, 3, 0, 4, 1, 1, 0, 4, 3, 3, 1, 3, 1, 4, 1, 3, 2, 3, 0, 3, 1, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 4, 1, 3, 4, 1, 3, 3, 0, 0, 2, 4, 0, 3, 4, 1, 0, 0, 2, 2, 4] pubkeycol850 = [1, 1, 4, 4, 0, 0, 4, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 4, 0, 2, 4, 0, 2, 1, 0, 0, 4, 1, 4, 1, 3, 2, 3, 3, 3, 3, 1, 4, 0, 1, 4, 4, 2, 4, 3, 1, 3, 2, 1, 2, 0, 2, 2, 4, 3, 1, 3, 3, 1, 3, 3, 0, 3, 4, 4, 3, 1, 0, 3, 2, 2, 4, 4, 4, 1, 1, 1, 3, 3, 1, 3, 1, 2, 3, 2, 4, 4, 4, 1, 2, 3, 4, 3, 2, 3, 2, 2, 2, 0, 1, 3, 0, 2, 0, 3, 3, 0, 3, 4, 2, 4, 2, 1, 2, 2, 1, 4, 1, 0, 4, 2, 4, 2, 3, 0, 4, 0, 0, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 4, 4, 4, 2, 4, 4, 0, 1, 2, 2, 1, 2, 1, 4, 2, 2, 4, 2, 3, 3, 0, 4, 4, 0, 4, 3, 0, 4, 4, 4, 3, 2, 0, 2, 1, 2, 0, 1, 2, 0, 4, 2, 3, 2, 3, 1, 2, 2, 4, 4, 4, 0, 4, 3, 1, 4, 4, 3, 4, 2, 0, 1, 1, 4, 4, 1, 3, 0, 2, 4, 4, 3, 3, 1, 2, 4, 4, 2, 2, 2, 0, 3, 4, 0, 0, 4, 2, 1, 3, 1, 2, 1, 4, 1, 3, 2, 1, 3, 2, 4, 1, 0, 1, 1, 2, 0, 0, 1, 0, 3, 2, 0, 3, 0, 0, 2, 1, 2, 0, 4, 1, 4, 2, 3, 4, 4, 4, 4, 1, 3, 2, 3, 1, 1, 3, 3, 4, 3, 1, 4, 2, 3, 4, 3, 4, 0, 1, 0, 3, 3, 0, 0, 4, 2, 3, 3, 3, 4, 2, 2, 1, 2, 3, 2, 3, 1, 4, 2, 1, 3, 1, 4, 3, 0, 3, 1, 2, 3, 3, 0, 4, 2, 0, 3, 4, 3, 1, 0, 4, 4, 3, 2, 3, 0, 0, 0, 1, 4, 4, 0, 3, 4, 1, 2, 1, 0, 0, 1, 2, 1, 1, 3, 4, 4, 1, 2, 2, 2, 0, 4, 1, 2, 2, 2, 0, 0, 1, 4, 2, 0, 1, 0, 0, 0, 1, 4, 4, 1, 1, 2, 1, 3, 0, 2, 2, 4, 3, 2, 4, 0, 1, 1, 1, 2, 3, 0, 2] pubkeycol851 = [0, 2, 0, 4, 1, 2, 0, 2, 3, 0, 1, 3, 2, 3, 1, 4, 1, 4, 4, 2, 3, 0, 2, 2, 3, 2, 4, 0, 3, 0, 0, 4, 1, 2, 1, 3, 0, 2, 0, 1, 0, 4, 2, 2, 1, 3, 0, 1, 2, 4, 3, 2, 2, 2, 0, 0, 0, 0, 1, 4, 2, 1, 4, 3, 2, 4, 2, 3, 0, 0, 4, 1, 2, 3, 3, 3, 2, 3, 3, 4, 4, 2, 4, 0, 1, 2, 3, 2, 4, 0, 2, 1, 1, 4, 4, 3, 0, 4, 4, 3, 0, 1, 1, 3, 3, 1, 1, 0, 0, 0, 3, 3, 0, 3, 4, 2, 1, 0, 3, 0, 1, 0, 1, 1, 1, 0, 0, 4, 1, 4, 0, 2, 0, 3, 1, 0, 3, 1, 3, 3, 0, 3, 0, 3, 3, 0, 4, 3, 3, 1, 1, 3, 4, 1, 2, 1, 0, 4, 3, 3, 3, 3, 1, 0, 0, 0, 4, 4, 1, 3, 3, 4, 4, 4, 3, 2, 0, 0, 1, 1, 0, 2, 4, 4, 2, 3, 0, 1, 2, 3, 3, 1, 3, 0, 0, 1, 3, 2, 4, 3, 2, 4, 4, 1, 1, 2, 1, 3, 4, 3, 4, 4, 2, 1, 2, 3, 4, 0, 4, 2, 1, 3, 3, 1, 0, 3, 0, 4, 3, 1, 0, 2, 3, 0, 4, 0, 3, 4, 3, 0, 1, 4, 1, 4, 3, 2, 3, 2, 3, 0, 3, 3, 0, 1, 3, 2, 1, 1, 2, 2, 4, 1, 2, 0, 4, 0, 4, 1, 0, 1, 0, 4, 0, 3, 2, 3, 1, 0, 3, 2, 3, 3, 1, 2, 1, 2, 4, 3, 0, 2, 2, 0, 0, 4, 3, 0, 2, 2, 4, 4, 2, 2, 3, 3, 3, 2, 0, 0, 0, 3, 1, 2, 0, 4, 2, 0, 0, 1, 1, 1, 0, 1, 1, 4, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 3, 0, 4, 0, 1, 0, 1, 0, 3, 1, 0, 1, 0, 2, 0, 3, 4, 1, 1, 1, 3, 2, 2, 0, 4, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 3, 4, 1, 2, 0, 0, 0, 0, 3, 2, 3, 3, 3, 4, 2, 1, 4, 4, 2, 2, 2, 4, 4, 1, 4, 0] pubkeycol852 = [0, 3, 1, 2, 0, 4, 2, 1, 4, 4, 2, 1, 3, 4, 2, 3, 2, 4, 2, 2, 4, 3, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 3, 0, 1, 1, 0, 1, 2, 4, 2, 0, 3, 3, 1, 3, 2, 2, 0, 1, 4, 4, 0, 3, 0, 4, 0, 1, 4, 1, 3, 3, 3, 1, 0, 1, 3, 4, 4, 2, 1, 0, 4, 4, 2, 0, 0, 4, 4, 1, 3, 1, 3, 0, 2, 2, 0, 2, 3, 3, 1, 4, 0, 1, 4, 4, 1, 1, 4, 3, 4, 3, 2, 0, 2, 0, 4, 3, 3, 1, 4, 2, 0, 3, 1, 0, 1, 2, 3, 0, 0, 0, 4, 1, 4, 4, 2, 3, 1, 2, 0, 1, 2, 3, 1, 3, 2, 3, 2, 0, 0, 0, 4, 2, 1, 3, 4, 1, 1, 2, 4, 2, 1, 2, 4, 4, 4, 3, 1, 3, 1, 3, 2, 2, 3, 2, 3, 0, 4, 3, 2, 4, 4, 2, 3, 2, 0, 1, 4, 4, 0, 0, 4, 2, 3, 4, 1, 3, 0, 2, 1, 2, 0, 3, 1, 1, 0, 1, 4, 2, 1, 0, 3, 1, 3, 4, 3, 2, 0, 4, 2, 0, 3, 1, 3, 1, 2, 1, 3, 0, 1, 1, 0, 3, 3, 4, 0, 4, 2, 1, 2, 0, 0, 2, 3, 4, 3, 2, 2, 2, 4, 4, 4, 4, 2, 2, 3, 2, 1, 3, 3, 4, 2, 0, 2, 3, 1, 2, 0, 4, 4, 0, 4, 2, 3, 0, 4, 0, 1, 1, 0, 2, 0, 3, 3, 3, 1, 4, 3, 4, 2, 4, 3, 0, 4, 2, 1, 4, 2, 4, 1, 2, 4, 2, 2, 3, 1, 1, 2, 3, 0, 1, 2, 2, 4, 1, 4, 4, 2, 0, 0, 4, 0, 2, 0, 2, 3, 2, 1, 1, 0, 2, 4, 1, 0, 1, 0, 2, 3, 1, 3, 2, 3, 0, 1, 3, 2, 4, 4, 4, 2, 4, 3, 3, 0, 4, 4, 4, 1, 4, 3, 2, 0, 1, 4, 0, 4, 0, 3, 2, 1, 4, 2, 3, 4, 1, 4, 2, 2, 4, 4, 3, 3, 3, 0, 2, 4, 2, 4, 1, 1, 1, 0, 4, 0, 4, 4, 3, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol853 = [4, 3, 2, 4, 4, 1, 1, 2, 0, 3, 2, 1, 4, 3, 4, 3, 4, 2, 3, 4, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 3, 2, 4, 0, 1, 4, 3, 3, 0, 3, 3, 4, 3, 1, 4, 3, 0, 3, 1, 1, 4, 2, 4, 3, 0, 0, 0, 4, 3, 0, 1, 4, 0, 2, 4, 2, 3, 2, 3, 1, 2, 2, 1, 2, 1, 1, 2, 1, 3, 3, 3, 2, 2, 1, 0, 0, 2, 2, 2, 3, 1, 1, 0, 1, 2, 4, 1, 2, 2, 1, 3, 3, 2, 4, 4, 2, 4, 2, 2, 3, 4, 1, 4, 0, 1, 3, 4, 2, 4, 2, 1, 3, 0, 4, 0, 0, 0, 0, 2, 4, 3, 2, 0, 2, 2, 4, 3, 0, 4, 2, 0, 0, 3, 3, 3, 2, 2, 3, 1, 1, 2, 3, 2, 4, 4, 1, 3, 3, 1, 4, 0, 3, 1, 3, 4, 1, 4, 0, 4, 1, 4, 4, 0, 2, 3, 2, 3, 2, 2, 0, 1, 2, 2, 3, 1, 3, 2, 4, 2, 1, 3, 0, 2, 1, 0, 0, 4, 3, 1, 2, 2, 0, 4, 0, 1, 1, 2, 1, 1, 3, 2, 4, 2, 2, 2, 3, 4, 2, 4, 3, 0, 4, 4, 0, 3, 2, 3, 1, 2, 4, 1, 2, 3, 0, 1, 0, 2, 0, 2, 1, 2, 0, 4, 0, 0, 1, 2, 2, 0, 4, 0, 0, 0, 2, 3, 2, 4, 4, 0, 4, 3, 2, 3, 3, 4, 0, 3, 0, 0, 4, 0, 4, 1, 2, 4, 4, 1, 0, 2, 3, 0, 3, 1, 3, 0, 1, 3, 2, 4, 2, 1, 4, 2, 3, 1, 2, 1, 4, 2, 0, 2, 0, 0, 1, 1, 4, 2, 1, 4, 3, 4, 0, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 4, 1, 1, 0, 3, 4, 2, 2, 4, 2, 2, 3, 4, 0, 2, 1, 4, 1, 2, 4, 3, 4, 3, 2, 0, 2, 4, 4, 4, 3, 0, 4, 4, 3, 0, 3, 3, 4, 1, 4, 2, 0, 0, 0, 3, 2, 1, 1, 3, 4, 3, 3, 3, 0, 0, 4, 4, 4, 1, 3, 0, 1, 3, 1, 4, 0, 2, 1, 3, 0, 1] pubkeycol854 = [3, 4, 1, 0, 1, 3, 0, 1, 4, 4, 2, 2, 2, 0, 3, 1, 2, 2, 1, 4, 0, 2, 3, 2, 1, 3, 1, 1, 1, 2, 2, 1, 2, 4, 0, 4, 2, 4, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 4, 0, 4, 4, 1, 0, 3, 1, 1, 2, 2, 3, 4, 3, 4, 0, 1, 2, 4, 2, 1, 1, 2, 2, 1, 3, 4, 3, 4, 1, 2, 3, 1, 4, 1, 0, 3, 4, 3, 0, 2, 2, 3, 2, 4, 3, 3, 3, 1, 2, 4, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 4, 4, 3, 3, 3, 4, 1, 2, 4, 3, 1, 4, 0, 2, 4, 1, 3, 0, 4, 2, 1, 3, 2, 3, 0, 3, 4, 3, 3, 2, 2, 1, 1, 3, 4, 3, 4, 0, 1, 2, 0, 3, 3, 4, 0, 2, 4, 4, 3, 1, 0, 1, 1, 3, 1, 2, 0, 4, 2, 3, 4, 3, 2, 0, 0, 1, 2, 2, 3, 0, 3, 3, 4, 2, 4, 4, 1, 0, 1, 3, 0, 3, 1, 3, 1, 3, 0, 0, 2, 0, 4, 2, 2, 4, 1, 2, 0, 1, 4, 3, 4, 3, 2, 4, 0, 2, 4, 2, 2, 0, 3, 2, 1, 3, 4, 4, 1, 2, 4, 1, 3, 1, 1, 3, 4, 3, 4, 3, 2, 4, 0, 3, 2, 2, 3, 1, 0, 0, 4, 4, 3, 1, 1, 1, 1, 0, 2, 3, 0, 1, 4, 3, 2, 2, 4, 2, 1, 1, 2, 3, 3, 0, 3, 1, 1, 4, 3, 4, 0, 1, 4, 3, 0, 0, 4, 2, 1, 3, 1, 1, 4, 3, 2, 1, 3, 4, 4, 2, 0, 2, 2, 3, 0, 2, 1, 2, 1, 2, 3, 0, 4, 3, 2, 4, 0, 3, 1, 0, 2, 4, 1, 0, 1, 0, 0, 1, 4, 3, 2, 1, 4, 1, 1, 4, 2, 0, 0, 3, 0, 3, 2, 1, 0, 0, 4, 0, 1, 1, 1, 2, 3, 3, 3, 2, 4, 1, 1, 1, 3, 0, 1, 0, 1, 2, 0, 1, 1, 4, 4, 1, 3, 4, 4, 3, 4, 4, 1, 4, 0, 1, 4, 2, 2, 4, 0, 4, 3, 4, 4, 4, 0, 2, 2, 3, 0, 2, 3, 1, 3, 4] pubkeycol855 = [2, 0, 2, 0, 4, 0, 2, 0, 4, 3, 1, 0, 0, 0, 2, 3, 0, 4, 2, 1, 4, 4, 4, 0, 3, 0, 1, 0, 1, 4, 3, 1, 3, 4, 1, 3, 4, 4, 3, 1, 4, 4, 4, 4, 4, 3, 0, 2, 2, 1, 1, 0, 4, 2, 0, 1, 2, 4, 2, 1, 3, 1, 2, 2, 1, 4, 3, 1, 0, 4, 4, 1, 1, 4, 0, 4, 0, 3, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 3, 0, 3, 1, 2, 4, 3, 0, 2, 0, 0, 1, 0, 2, 4, 0, 2, 3, 2, 4, 3, 4, 1, 0, 3, 0, 0, 4, 2, 2, 2, 4, 3, 4, 2, 2, 2, 0, 2, 4, 0, 2, 0, 0, 2, 4, 4, 4, 4, 4, 1, 4, 4, 0, 4, 0, 0, 0, 4, 3, 2, 4, 2, 3, 2, 2, 0, 4, 2, 0, 0, 0, 1, 3, 3, 3, 1, 1, 1, 4, 2, 3, 4, 4, 4, 1, 4, 1, 2, 4, 0, 2, 4, 2, 4, 2, 3, 1, 2, 0, 3, 2, 1, 1, 1, 0, 4, 1, 4, 1, 3, 3, 0, 4, 4, 3, 4, 3, 0, 3, 2, 4, 4, 1, 0, 3, 3, 1, 4, 2, 0, 4, 3, 1, 3, 4, 0, 3, 3, 4, 0, 4, 0, 1, 4, 3, 0, 3, 3, 0, 1, 1, 0, 3, 3, 4, 2, 2, 0, 3, 2, 4, 1, 3, 1, 2, 4, 0, 3, 4, 4, 1, 4, 4, 4, 4, 2, 3, 1, 3, 4, 0, 2, 3, 0, 1, 0, 0, 0, 4, 3, 2, 1, 0, 4, 4, 1, 2, 1, 3, 3, 2, 1, 0, 1, 3, 0, 2, 4, 4, 4, 2, 1, 4, 4, 2, 2, 4, 2, 0, 4, 2, 1, 1, 1, 0, 4, 2, 3, 0, 4, 3, 2, 0, 0, 3, 1, 1, 1, 2, 3, 4, 2, 4, 0, 2, 0, 1, 1, 2, 3, 0, 4, 0, 0, 3, 4, 2, 4, 4, 2, 2, 4, 4, 3, 0, 2, 2, 2, 1, 2, 0, 1, 1, 3, 3, 2, 0, 4, 2, 2, 0, 1, 3, 2, 4, 3, 1, 1, 4, 3, 3, 2, 2, 4, 4, 4, 0, 4, 4, 0, 1, 4, 3, 4, 4, 1, 1] pubkeycol856 = [0, 4, 3, 3, 1, 3, 0, 0, 0, 4, 0, 4, 1, 2, 4, 3, 2, 4, 1, 1, 2, 4, 4, 0, 2, 4, 0, 2, 3, 4, 4, 4, 0, 2, 1, 4, 2, 4, 1, 0, 3, 4, 2, 4, 3, 2, 4, 4, 3, 1, 4, 4, 4, 3, 4, 2, 0, 4, 2, 1, 1, 3, 4, 3, 0, 0, 2, 3, 2, 4, 0, 4, 4, 4, 2, 3, 3, 4, 3, 1, 3, 1, 1, 1, 4, 1, 0, 2, 4, 3, 4, 3, 1, 3, 3, 2, 4, 0, 4, 2, 4, 3, 3, 1, 1, 3, 3, 0, 1, 0, 1, 2, 2, 4, 1, 0, 4, 2, 0, 4, 4, 4, 1, 3, 3, 3, 3, 1, 1, 4, 0, 0, 4, 1, 2, 4, 2, 1, 3, 1, 3, 0, 4, 1, 2, 4, 4, 4, 0, 3, 0, 2, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 3, 0, 1, 4, 0, 0, 1, 4, 3, 1, 0, 4, 1, 2, 4, 0, 3, 3, 4, 0, 0, 0, 3, 0, 3, 4, 1, 1, 4, 2, 0, 4, 0, 1, 4, 3, 2, 2, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 3, 0, 0, 4, 4, 0, 1, 2, 0, 1, 2, 3, 0, 3, 0, 0, 0, 1, 2, 3, 2, 4, 3, 4, 2, 4, 3, 0, 1, 1, 2, 0, 4, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 3, 2, 1, 2, 1, 4, 0, 2, 1, 2, 1, 2, 1, 2, 4, 1, 2, 3, 2, 4, 2, 0, 2, 0, 2, 2, 2, 1, 1, 4, 3, 2, 0, 2, 4, 4, 1, 0, 3, 4, 4, 3, 1, 3, 3, 3, 0, 0, 1, 4, 0, 1, 4, 2, 0, 0, 4, 2, 3, 2, 2, 2, 4, 3, 0, 0, 2, 1, 1, 4, 3, 1, 0, 1, 0, 1, 4, 4, 0, 4, 3, 3, 4, 2, 1, 1, 2, 0, 0, 4, 2, 4, 1, 4, 0, 2, 4, 3, 2, 0, 4, 2, 0, 2, 2, 3, 4, 3, 0, 4, 1, 2, 2, 3, 1, 3, 4, 1, 3, 0, 1, 4, 1, 3, 0, 2, 0, 1, 2, 1, 0, 2, 4, 1, 0, 3, 1, 3, 3, 2, 3, 2, 1, 1, 2, 4, 3] pubkeycol857 = [4, 0, 0, 4, 1, 3, 0, 0, 1, 0, 1, 4, 1, 4, 3, 1, 4, 4, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 0, 2, 2, 3, 4, 2, 2, 4, 1, 3, 2, 4, 1, 2, 2, 1, 3, 1, 4, 0, 1, 4, 4, 1, 2, 2, 1, 1, 1, 0, 2, 0, 4, 0, 2, 0, 1, 3, 0, 1, 1, 4, 0, 2, 2, 1, 2, 4, 0, 0, 2, 0, 1, 4, 2, 3, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 4, 4, 3, 1, 2, 0, 4, 0, 2, 2, 0, 1, 2, 4, 2, 0, 2, 2, 4, 0, 1, 2, 2, 1, 2, 0, 2, 3, 3, 2, 1, 3, 2, 1, 0, 1, 3, 0, 2, 3, 2, 0, 1, 1, 0, 1, 0, 0, 3, 0, 1, 2, 0, 3, 3, 3, 0, 0, 3, 2, 2, 2, 3, 3, 4, 0, 2, 1, 2, 3, 1, 3, 2, 4, 1, 0, 0, 1, 4, 3, 0, 1, 1, 2, 0, 3, 4, 3, 3, 0, 1, 2, 3, 0, 2, 1, 1, 0, 2, 1, 3, 1, 0, 2, 3, 3, 4, 0, 2, 4, 4, 2, 2, 0, 0, 1, 3, 0, 3, 3, 4, 4, 1, 4, 1, 2, 1, 3, 0, 4, 3, 3, 2, 2, 4, 3, 3, 0, 1, 1, 0, 0, 4, 0, 2, 3, 0, 1, 4, 2, 3, 0, 0, 4, 0, 3, 2, 0, 3, 1, 1, 1, 3, 4, 1, 2, 4, 0, 2, 1, 3, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 4, 2, 1, 0, 2, 1, 4, 3, 4, 0, 4, 3, 4, 2, 2, 2, 2, 2, 2, 0, 4, 2, 3, 2, 2, 0, 0, 4, 3, 3, 3, 0, 2, 4, 1, 2, 0, 3, 1, 0, 2, 1, 2, 3, 3, 0, 3, 4, 2, 4, 3, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 4, 4, 2, 3, 2, 2, 2, 1, 4, 0, 0, 3, 4, 1, 4, 2, 0, 4, 2, 2, 1, 0, 0, 4, 0, 3, 1, 2, 4, 1, 4, 2, 1, 1, 0, 2, 0, 0, 1, 0, 3, 1, 4, 4, 3, 0, 3, 1, 3, 0, 3, 1, 2, 3, 4, 3, 1, 4, 0, 0, 0, 2] pubkeycol858 = [4, 3, 3, 2, 1, 1, 1, 1, 4, 2, 4, 1, 1, 4, 3, 0, 4, 1, 3, 0, 3, 4, 3, 2, 1, 3, 2, 2, 0, 2, 0, 4, 4, 2, 3, 3, 0, 0, 0, 3, 1, 4, 2, 3, 2, 4, 3, 2, 2, 3, 0, 0, 3, 3, 4, 4, 1, 4, 1, 1, 4, 3, 1, 0, 0, 4, 1, 2, 4, 1, 3, 3, 0, 0, 1, 0, 2, 3, 0, 0, 3, 2, 1, 4, 1, 1, 3, 3, 1, 3, 1, 4, 4, 2, 3, 2, 3, 4, 1, 2, 1, 1, 4, 2, 1, 0, 1, 3, 3, 2, 3, 2, 4, 2, 3, 3, 3, 2, 0, 4, 4, 4, 3, 4, 1, 1, 0, 2, 1, 4, 3, 1, 2, 1, 4, 1, 3, 2, 2, 1, 4, 2, 2, 4, 2, 2, 4, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 2, 1, 3, 0, 0, 0, 4, 4, 4, 1, 0, 0, 3, 4, 4, 1, 3, 0, 4, 0, 1, 0, 1, 4, 2, 3, 3, 1, 0, 3, 1, 3, 0, 1, 0, 3, 3, 2, 0, 4, 3, 3, 2, 0, 2, 2, 1, 2, 1, 1, 0, 3, 0, 1, 4, 4, 0, 0, 1, 4, 0, 3, 2, 4, 0, 2, 3, 1, 0, 3, 0, 1, 3, 3, 3, 0, 3, 1, 2, 4, 2, 0, 2, 0, 1, 0, 4, 3, 0, 0, 1, 4, 3, 2, 2, 2, 4, 4, 2, 4, 4, 4, 1, 1, 2, 2, 1, 3, 2, 3, 1, 3, 4, 1, 0, 2, 4, 3, 4, 4, 2, 0, 3, 4, 0, 1, 0, 3, 0, 0, 4, 2, 0, 3, 0, 1, 1, 1, 3, 3, 3, 2, 1, 0, 1, 3, 3, 3, 4, 3, 4, 3, 0, 2, 4, 0, 4, 0, 3, 4, 2, 3, 3, 1, 3, 2, 4, 1, 4, 4, 1, 1, 1, 3, 3, 3, 0, 4, 4, 0, 0, 1, 0, 3, 3, 1, 2, 4, 0, 4, 2, 1, 2, 0, 1, 0, 2, 4, 3, 2, 4, 4, 4, 0, 4, 0, 0, 3, 0, 0, 0, 3, 4, 1, 0, 4, 1, 0, 2, 0, 4, 3, 2, 2, 1, 0, 4, 1, 1, 2, 0, 3, 2, 3, 1, 3, 0, 2, 1, 4, 2, 3, 0] pubkeycol859 = [0, 3, 3, 4, 4, 0, 0, 3, 0, 2, 3, 4, 4, 4, 0, 1, 3, 1, 4, 0, 2, 4, 1, 2, 3, 2, 3, 1, 2, 0, 4, 2, 0, 2, 3, 1, 0, 4, 1, 1, 0, 1, 1, 3, 2, 2, 0, 1, 2, 1, 1, 0, 3, 4, 3, 1, 4, 4, 1, 2, 2, 4, 0, 0, 0, 1, 2, 2, 3, 4, 2, 4, 0, 1, 1, 1, 4, 4, 4, 0, 4, 1, 2, 0, 1, 1, 3, 4, 0, 4, 3, 3, 0, 1, 2, 3, 0, 0, 1, 4, 3, 4, 2, 3, 1, 2, 0, 4, 1, 2, 2, 4, 1, 0, 1, 0, 4, 2, 1, 2, 0, 4, 4, 2, 3, 4, 1, 3, 2, 0, 0, 3, 1, 3, 1, 1, 0, 3, 0, 1, 3, 1, 0, 2, 1, 3, 0, 2, 4, 0, 2, 4, 4, 1, 2, 0, 0, 1, 0, 2, 3, 0, 2, 4, 2, 0, 4, 3, 0, 3, 0, 1, 4, 4, 2, 0, 1, 1, 1, 3, 1, 2, 3, 2, 3, 2, 1, 0, 2, 3, 2, 2, 1, 2, 3, 1, 4, 3, 4, 3, 0, 3, 0, 3, 3, 2, 4, 1, 3, 1, 0, 4, 4, 2, 3, 2, 1, 4, 4, 3, 0, 4, 0, 1, 4, 1, 0, 2, 4, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 1, 4, 4, 4, 4, 2, 4, 2, 1, 2, 2, 4, 2, 2, 2, 4, 1, 3, 4, 2, 0, 1, 1, 3, 2, 3, 1, 0, 2, 0, 4, 1, 1, 1, 3, 4, 2, 0, 4, 0, 2, 0, 3, 1, 2, 0, 1, 1, 4, 4, 4, 2, 1, 1, 2, 2, 2, 4, 2, 0, 2, 1, 1, 2, 1, 2, 4, 1, 1, 3, 1, 1, 3, 0, 3, 1, 1, 3, 2, 4, 4, 1, 1, 1, 3, 4, 1, 2, 2, 0, 2, 4, 3, 3, 3, 4, 3, 2, 1, 1, 3, 1, 4, 3, 1, 4, 0, 3, 1, 0, 2, 3, 4, 3, 2, 1, 4, 3, 2, 2, 2, 2, 4, 4, 2, 0, 2, 4, 3, 1, 4, 3, 3, 3, 2, 1, 3, 4, 3, 0, 2, 0, 0, 1, 0, 2, 2, 1, 3, 3, 4, 0, 2, 3, 3, 0, 3, 1, 1, 2] pubkeycol860 = [2, 2, 1, 3, 1, 1, 0, 4, 2, 3, 4, 3, 0, 1, 0, 4, 4, 0, 0, 4, 1, 0, 0, 0, 1, 0, 2, 2, 3, 2, 2, 3, 2, 4, 4, 1, 2, 2, 0, 3, 4, 2, 1, 3, 4, 1, 4, 1, 0, 3, 2, 1, 4, 0, 2, 3, 2, 0, 0, 0, 2, 4, 4, 0, 0, 1, 4, 1, 4, 2, 3, 2, 1, 2, 4, 0, 0, 4, 4, 4, 0, 1, 2, 2, 0, 3, 3, 2, 3, 3, 0, 0, 0, 2, 2, 0, 0, 1, 3, 3, 0, 2, 1, 2, 0, 3, 3, 1, 4, 0, 3, 0, 2, 3, 1, 3, 3, 3, 4, 3, 2, 4, 1, 3, 1, 3, 2, 0, 2, 4, 2, 0, 3, 0, 0, 1, 1, 0, 0, 2, 3, 4, 3, 0, 2, 2, 1, 2, 2, 0, 3, 0, 0, 4, 3, 4, 0, 2, 2, 4, 1, 1, 0, 2, 0, 4, 3, 2, 1, 2, 1, 4, 4, 3, 0, 1, 2, 1, 3, 1, 1, 1, 1, 1, 0, 2, 4, 2, 2, 3, 2, 1, 3, 0, 0, 4, 4, 3, 4, 1, 1, 3, 2, 2, 4, 3, 4, 0, 2, 1, 4, 0, 4, 0, 3, 1, 2, 3, 3, 0, 4, 1, 3, 3, 4, 2, 0, 4, 1, 4, 0, 0, 0, 3, 4, 2, 2, 0, 2, 1, 1, 2, 1, 0, 4, 4, 3, 3, 1, 1, 0, 2, 4, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 4, 4, 1, 1, 2, 2, 1, 2, 2, 4, 0, 3, 0, 1, 2, 1, 2, 4, 2, 2, 4, 0, 3, 2, 0, 3, 1, 2, 4, 4, 1, 4, 3, 4, 1, 3, 0, 0, 4, 1, 0, 1, 2, 4, 3, 4, 0, 1, 4, 1, 0, 2, 4, 4, 2, 3, 2, 0, 1, 1, 0, 2, 3, 3, 3, 3, 1, 2, 4, 2, 4, 0, 4, 4, 1, 2, 3, 1, 0, 2, 1, 0, 4, 4, 4, 3, 2, 3, 3, 1, 2, 4, 3, 0, 1, 0, 1, 1, 4, 2, 3, 0, 1, 3, 1, 4, 0, 0, 1, 0, 4, 0, 0, 3, 3, 2, 1, 3, 4, 4, 1, 2, 3, 3, 0, 1, 4, 3, 0, 2, 0, 3, 3, 1, 4, 3, 3] pubkeycol861 = [4, 4, 1, 0, 0, 3, 3, 2, 2, 0, 1, 0, 3, 4, 0, 2, 3, 0, 0, 2, 4, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 3, 1, 4, 1, 2, 4, 1, 2, 4, 1, 3, 1, 2, 0, 4, 1, 3, 0, 1, 4, 0, 3, 1, 1, 2, 4, 0, 2, 1, 1, 3, 3, 4, 4, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 3, 3, 4, 1, 1, 2, 1, 2, 3, 4, 3, 4, 0, 1, 3, 0, 3, 3, 3, 2, 0, 2, 0, 0, 3, 0, 3, 1, 1, 3, 4, 4, 2, 1, 4, 4, 2, 4, 0, 3, 3, 0, 3, 2, 4, 1, 4, 2, 4, 4, 1, 4, 2, 4, 4, 0, 3, 3, 4, 2, 0, 4, 3, 0, 1, 2, 4, 4, 3, 2, 3, 2, 3, 2, 3, 1, 0, 4, 2, 0, 4, 4, 0, 1, 4, 4, 2, 3, 0, 2, 2, 2, 2, 2, 3, 4, 4, 1, 2, 2, 1, 0, 2, 3, 2, 0, 0, 4, 4, 1, 0, 3, 3, 0, 2, 0, 2, 0, 0, 0, 0, 3, 0, 3, 3, 2, 0, 2, 0, 1, 2, 1, 2, 4, 3, 3, 2, 4, 2, 3, 3, 3, 1, 2, 1, 4, 4, 2, 3, 1, 3, 4, 3, 4, 0, 2, 0, 3, 3, 2, 2, 0, 1, 3, 3, 1, 2, 1, 4, 0, 3, 4, 0, 3, 0, 4, 0, 3, 3, 0, 0, 0, 4, 0, 1, 1, 0, 1, 3, 3, 3, 0, 0, 2, 1, 2, 4, 3, 4, 4, 4, 1, 1, 4, 4, 0, 3, 4, 0, 0, 4, 4, 4, 4, 4, 1, 3, 3, 2, 4, 3, 0, 2, 0, 1, 2, 0, 2, 3, 1, 0, 3, 2, 2, 3, 3, 2, 0, 2, 4, 2, 3, 2, 3, 0, 2, 2, 0, 0, 2, 3, 0, 2, 3, 0, 3, 2, 1, 0, 4, 2, 2, 2, 2, 1, 0, 4, 1, 1, 0, 2, 3, 4, 3, 3, 0, 2, 4, 0, 1, 1, 0, 1, 0, 1, 4, 2, 2, 4, 0, 1, 0, 1, 0, 2, 0, 3, 3, 0, 1, 4, 1, 4, 4, 0, 3, 0, 3, 2, 0, 2, 4, 0, 3, 1, 4, 4, 3, 4, 1] pubkeycol862 = [3, 4, 0, 4, 3, 4, 2, 1, 3, 0, 0, 4, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 3, 2, 2, 0, 2, 4, 1, 0, 1, 2, 4, 4, 1, 0, 4, 4, 1, 0, 0, 3, 2, 3, 0, 0, 0, 2, 0, 2, 3, 3, 0, 2, 2, 1, 2, 1, 4, 3, 4, 2, 3, 2, 0, 3, 0, 1, 4, 4, 2, 4, 2, 2, 4, 1, 0, 2, 1, 2, 1, 3, 2, 0, 2, 0, 1, 1, 4, 3, 0, 2, 2, 3, 2, 3, 0, 3, 4, 0, 2, 2, 2, 3, 4, 3, 3, 4, 3, 0, 2, 0, 3, 0, 2, 2, 0, 4, 2, 4, 4, 3, 0, 1, 4, 3, 1, 2, 4, 2, 4, 1, 3, 4, 1, 1, 3, 1, 1, 1, 4, 3, 1, 3, 1, 1, 4, 3, 4, 3, 3, 3, 4, 2, 3, 0, 3, 1, 4, 4, 4, 2, 0, 0, 2, 4, 3, 3, 0, 2, 1, 0, 3, 0, 0, 2, 0, 1, 4, 1, 4, 2, 4, 0, 1, 4, 2, 3, 4, 0, 2, 4, 4, 2, 2, 1, 4, 1, 2, 3, 2, 3, 2, 4, 4, 4, 0, 1, 4, 1, 3, 4, 2, 1, 4, 0, 4, 2, 4, 4, 1, 2, 0, 0, 3, 4, 3, 1, 3, 4, 2, 2, 3, 0, 4, 3, 2, 4, 4, 4, 1, 3, 3, 3, 2, 1, 0, 4, 3, 0, 3, 2, 3, 3, 0, 1, 1, 2, 2, 1, 4, 3, 2, 0, 0, 1, 3, 3, 0, 3, 2, 2, 2, 3, 3, 2, 3, 3, 0, 0, 4, 1, 2, 3, 1, 4, 4, 2, 3, 4, 4, 0, 3, 2, 0, 3, 0, 1, 4, 3, 2, 0, 1, 4, 4, 2, 2, 3, 2, 4, 1, 3, 0, 3, 0, 2, 0, 2, 1, 1, 1, 3, 4, 4, 1, 0, 1, 1, 2, 0, 2, 1, 3, 1, 0, 3, 2, 3, 0, 3, 0, 4, 0, 0, 3, 0, 1, 4, 0, 1, 0, 4, 1, 3, 3, 4, 3, 0, 3, 1, 1, 3, 0, 4, 1, 2, 3, 2, 0, 0, 1, 2, 4, 1, 0, 0, 4, 0, 2, 1, 2, 0, 2, 2, 4, 2, 1, 0, 0, 2, 0, 4, 2, 2, 4, 3, 4, 1, 3, 4] pubkeycol863 = [0, 4, 4, 1, 2, 3, 0, 2, 4, 1, 1, 2, 1, 3, 2, 0, 0, 4, 4, 4, 2, 0, 2, 4, 3, 1, 2, 3, 4, 3, 1, 0, 2, 3, 2, 2, 2, 0, 3, 2, 2, 3, 1, 2, 3, 3, 0, 0, 3, 4, 2, 1, 1, 0, 4, 3, 3, 4, 1, 0, 0, 1, 2, 0, 4, 3, 3, 4, 4, 0, 3, 1, 3, 3, 3, 0, 4, 1, 3, 0, 2, 0, 1, 3, 4, 4, 2, 0, 0, 3, 1, 2, 4, 4, 4, 3, 2, 0, 2, 4, 1, 3, 3, 4, 4, 1, 1, 0, 0, 0, 4, 1, 1, 2, 4, 4, 1, 0, 0, 3, 2, 2, 1, 4, 0, 1, 1, 1, 1, 4, 2, 2, 0, 3, 0, 0, 4, 1, 2, 3, 4, 2, 0, 3, 2, 3, 3, 2, 4, 0, 2, 3, 0, 4, 4, 0, 0, 0, 2, 0, 2, 3, 3, 1, 2, 1, 3, 0, 4, 4, 1, 4, 3, 2, 0, 2, 3, 3, 2, 1, 2, 0, 1, 2, 0, 3, 4, 2, 1, 1, 0, 4, 0, 3, 4, 4, 4, 4, 4, 1, 2, 4, 4, 1, 1, 0, 0, 1, 0, 1, 3, 4, 2, 4, 1, 1, 3, 0, 1, 0, 4, 0, 2, 2, 0, 1, 2, 0, 1, 1, 4, 1, 3, 4, 3, 2, 0, 4, 2, 2, 3, 2, 2, 4, 1, 4, 3, 1, 1, 1, 3, 3, 0, 4, 4, 3, 2, 2, 4, 0, 0, 3, 1, 2, 4, 0, 2, 4, 1, 3, 1, 0, 2, 3, 2, 3, 1, 4, 3, 0, 0, 0, 4, 2, 3, 0, 1, 1, 1, 0, 4, 2, 1, 4, 2, 1, 1, 2, 1, 3, 1, 1, 0, 3, 2, 3, 2, 0, 0, 0, 4, 0, 4, 3, 2, 4, 3, 2, 2, 3, 0, 3, 0, 0, 2, 4, 3, 0, 0, 2, 0, 4, 3, 1, 1, 4, 3, 1, 2, 0, 3, 1, 0, 3, 1, 0, 0, 1, 0, 2, 2, 3, 3, 4, 1, 1, 0, 2, 1, 4, 3, 4, 1, 3, 3, 4, 4, 0, 3, 2, 3, 2, 3, 4, 4, 0, 3, 0, 0, 2, 2, 2, 3, 0, 4, 1, 3, 4, 2, 1, 2, 0, 3, 4, 4, 3, 1, 3, 3, 1] pubkeycol864 = [3, 1, 3, 1, 1, 2, 4, 3, 4, 3, 0, 4, 3, 0, 1, 4, 4, 4, 3, 0, 0, 4, 0, 2, 2, 2, 4, 1, 0, 2, 3, 4, 4, 0, 2, 1, 0, 4, 3, 1, 3, 3, 1, 0, 1, 1, 3, 1, 4, 4, 2, 0, 0, 4, 0, 1, 2, 0, 2, 4, 2, 4, 4, 0, 3, 1, 0, 3, 4, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 2, 2, 0, 3, 0, 2, 1, 3, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 3, 0, 0, 2, 4, 0, 4, 4, 2, 2, 2, 3, 4, 3, 4, 1, 3, 1, 2, 0, 2, 0, 4, 4, 4, 4, 1, 0, 3, 1, 0, 1, 4, 2, 2, 0, 2, 2, 3, 4, 1, 2, 1, 1, 0, 0, 3, 1, 4, 3, 0, 0, 1, 3, 1, 4, 4, 3, 0, 2, 3, 4, 3, 0, 2, 3, 3, 1, 0, 3, 3, 2, 0, 0, 3, 3, 1, 4, 2, 0, 0, 4, 3, 3, 3, 4, 4, 1, 3, 2, 1, 1, 4, 3, 0, 1, 3, 0, 2, 1, 4, 4, 3, 0, 4, 1, 1, 2, 2, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 3, 4, 0, 4, 2, 2, 2, 1, 0, 4, 0, 0, 3, 3, 3, 3, 2, 3, 4, 0, 4, 3, 0, 0, 0, 4, 2, 2, 2, 2, 0, 0, 1, 1, 4, 3, 0, 2, 1, 3, 4, 4, 3, 1, 2, 2, 3, 0, 1, 4, 3, 4, 4, 2, 0, 4, 0, 3, 2, 0, 3, 1, 0, 3, 4, 0, 3, 1, 0, 4, 1, 3, 3, 1, 2, 1, 0, 0, 4, 2, 0, 4, 0, 0, 1, 2, 3, 1, 0, 3, 4, 3, 1, 3, 3, 1, 2, 0, 4, 1, 3, 4, 4, 1, 4, 3, 0, 0, 2, 3, 4, 0, 4, 0, 2, 2, 1, 2, 4, 3, 1, 0, 1, 4, 0, 3, 3, 4, 4, 0, 3, 2, 4, 0, 0, 3, 1, 2, 0, 3, 1, 4, 1, 0, 1, 4, 3, 3, 2, 1, 2, 0, 3, 1, 1, 2, 2, 3, 2, 1, 0, 3, 2, 1, 2, 2, 2, 4, 4, 2, 2, 4, 3, 0, 1, 3, 4, 4, 3, 4, 0, 0, 3, 0] pubkeycol865 = [3, 4, 2, 3, 4, 2, 4, 2, 3, 4, 2, 1, 3, 2, 4, 1, 4, 2, 4, 0, 2, 1, 1, 2, 2, 3, 4, 3, 0, 2, 1, 3, 1, 3, 4, 4, 4, 4, 0, 4, 1, 1, 1, 3, 2, 0, 4, 3, 3, 1, 2, 1, 1, 4, 2, 3, 2, 1, 0, 3, 4, 1, 1, 0, 4, 2, 0, 0, 0, 2, 4, 4, 2, 1, 4, 0, 3, 2, 3, 0, 2, 4, 2, 4, 0, 3, 2, 3, 3, 3, 2, 2, 0, 4, 1, 3, 4, 1, 1, 1, 0, 1, 1, 3, 0, 0, 3, 1, 1, 2, 2, 3, 2, 2, 3, 0, 1, 4, 4, 1, 4, 1, 0, 1, 4, 4, 3, 0, 3, 2, 2, 4, 3, 2, 3, 2, 3, 1, 1, 3, 2, 1, 4, 3, 0, 2, 0, 1, 2, 2, 0, 3, 2, 2, 3, 1, 1, 3, 3, 4, 4, 0, 3, 2, 0, 0, 3, 2, 4, 1, 2, 0, 3, 4, 2, 2, 4, 2, 0, 4, 2, 4, 2, 0, 3, 4, 3, 3, 2, 0, 1, 0, 3, 1, 3, 0, 2, 3, 4, 3, 0, 4, 4, 3, 2, 1, 4, 1, 3, 2, 1, 3, 0, 3, 1, 2, 4, 3, 3, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 4, 1, 4, 1, 2, 1, 3, 3, 2, 1, 4, 4, 0, 1, 3, 1, 4, 2, 2, 2, 4, 3, 0, 4, 2, 2, 1, 0, 2, 1, 0, 4, 0, 2, 0, 0, 0, 4, 0, 0, 0, 4, 1, 2, 3, 4, 0, 1, 4, 4, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 1, 3, 2, 0, 3, 2, 0, 2, 2, 0, 4, 1, 3, 4, 0, 3, 2, 4, 0, 0, 2, 3, 1, 2, 4, 0, 2, 2, 4, 1, 2, 3, 1, 0, 1, 1, 2, 3, 1, 4, 0, 4, 2, 1, 3, 4, 2, 2, 2, 4, 3, 2, 1, 0, 3, 1, 4, 2, 4, 3, 2, 1, 2, 1, 2, 3, 2, 1, 4, 3, 0, 2, 3, 1, 2, 0, 0, 0, 0, 2, 3, 1, 3, 0, 4, 3, 1, 3, 4, 3, 0, 1, 0, 0, 3] pubkeycol866 = [3, 2, 2, 4, 2, 0, 1, 0, 1, 1, 4, 3, 4, 0, 4, 0, 4, 3, 0, 0, 0, 3, 4, 2, 4, 4, 1, 4, 1, 3, 2, 4, 4, 4, 4, 1, 3, 1, 3, 1, 3, 3, 2, 1, 3, 2, 0, 1, 0, 3, 3, 3, 2, 2, 3, 3, 1, 0, 4, 4, 2, 1, 3, 2, 1, 3, 2, 2, 0, 4, 3, 4, 1, 4, 0, 3, 2, 2, 2, 1, 4, 3, 0, 0, 2, 3, 2, 0, 0, 0, 3, 0, 2, 3, 4, 0, 0, 1, 4, 3, 4, 1, 4, 1, 3, 1, 0, 3, 0, 3, 1, 0, 0, 1, 3, 2, 2, 4, 1, 3, 4, 2, 0, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 4, 1, 0, 4, 2, 1, 0, 3, 2, 1, 1, 2, 3, 2, 0, 4, 4, 1, 2, 1, 2, 4, 1, 2, 3, 4, 3, 3, 2, 1, 0, 1, 3, 4, 4, 0, 2, 0, 3, 3, 1, 4, 3, 0, 4, 4, 1, 1, 1, 4, 3, 4, 0, 4, 2, 2, 2, 3, 0, 0, 3, 2, 2, 3, 4, 3, 2, 2, 0, 1, 2, 2, 3, 3, 4, 4, 4, 3, 1, 1, 0, 4, 4, 4, 1, 4, 3, 0, 3, 1, 0, 4, 0, 1, 3, 4, 0, 2, 1, 4, 2, 1, 0, 0, 4, 3, 2, 4, 1, 3, 0, 4, 0, 3, 4, 0, 4, 0, 3, 0, 2, 3, 2, 1, 0, 2, 1, 2, 0, 1, 4, 4, 1, 3, 1, 0, 0, 0, 4, 1, 2, 0, 2, 0, 3, 1, 0, 1, 0, 4, 3, 3, 2, 3, 2, 2, 1, 3, 0, 2, 3, 1, 0, 1, 4, 3, 1, 1, 1, 4, 3, 4, 0, 1, 4, 0, 1, 4, 3, 1, 0, 0, 0, 2, 2, 4, 2, 2, 0, 0, 2, 1, 2, 3, 1, 2, 0, 1, 1, 0, 3, 3, 3, 3, 4, 0, 2, 1, 2, 1, 0, 2, 4, 4, 2, 1, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2, 4, 2, 2, 1, 1, 0, 4, 1, 4, 4, 3, 3, 4, 2, 3, 0, 1, 0, 4, 3, 1, 4, 3, 3, 2, 3, 2, 0, 3, 0, 0, 0, 2, 4, 0, 1, 4, 0, 1, 2, 0] pubkeycol867 = [1, 2, 3, 3, 4, 4, 0, 1, 1, 4, 2, 0, 0, 2, 3, 3, 0, 4, 1, 1, 0, 1, 4, 0, 1, 1, 4, 0, 0, 4, 0, 1, 4, 0, 1, 1, 4, 0, 2, 1, 0, 4, 4, 2, 1, 4, 4, 2, 4, 4, 0, 3, 3, 2, 4, 4, 3, 4, 4, 4, 2, 1, 0, 3, 2, 4, 4, 1, 2, 1, 2, 1, 1, 2, 3, 3, 0, 2, 0, 0, 1, 2, 0, 4, 1, 0, 2, 4, 4, 3, 0, 1, 2, 0, 1, 1, 3, 3, 4, 2, 1, 2, 4, 2, 4, 0, 4, 4, 4, 1, 1, 4, 2, 2, 1, 2, 2, 3, 0, 0, 4, 1, 4, 0, 1, 2, 2, 3, 4, 0, 4, 2, 1, 4, 1, 2, 1, 0, 4, 1, 0, 3, 4, 2, 3, 3, 4, 1, 1, 0, 3, 1, 4, 1, 4, 4, 0, 2, 0, 3, 1, 2, 0, 4, 3, 2, 1, 4, 2, 0, 1, 1, 2, 2, 0, 4, 3, 0, 1, 4, 3, 3, 1, 0, 1, 3, 4, 4, 0, 0, 4, 1, 3, 2, 1, 3, 4, 2, 2, 3, 1, 4, 0, 3, 4, 2, 0, 0, 2, 1, 3, 2, 0, 2, 0, 4, 0, 2, 0, 4, 4, 2, 0, 1, 4, 2, 0, 4, 2, 3, 2, 3, 4, 1, 0, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 4, 4, 0, 4, 1, 3, 2, 3, 3, 1, 3, 0, 4, 3, 2, 4, 0, 0, 3, 1, 0, 3, 0, 0, 4, 1, 1, 4, 2, 4, 0, 3, 2, 3, 4, 3, 1, 3, 1, 2, 2, 1, 1, 4, 0, 4, 1, 2, 0, 0, 2, 0, 1, 3, 3, 1, 3, 3, 0, 0, 4, 0, 0, 0, 4, 4, 1, 0, 0, 1, 3, 1, 4, 4, 0, 4, 3, 3, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 4, 0, 2, 3, 1, 1, 0, 0, 2, 4, 3, 1, 2, 2, 2, 2, 0, 4, 4, 1, 4, 0, 1, 1, 3, 2, 0, 0, 4, 2, 2, 1, 4, 2, 2, 4, 0, 1, 3, 0, 3, 0, 4, 0, 1, 4, 0, 2, 1, 1, 3, 4, 0, 4, 4, 1, 2, 0, 3, 1, 4] pubkeycol868 = [2, 1, 2, 2, 0, 0, 0, 0, 4, 2, 3, 2, 4, 0, 2, 0, 0, 3, 0, 2, 2, 4, 4, 1, 1, 2, 2, 0, 1, 4, 3, 3, 1, 0, 4, 0, 1, 0, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 4, 3, 1, 3, 0, 3, 2, 1, 4, 3, 3, 3, 4, 4, 2, 0, 0, 4, 3, 2, 2, 0, 3, 2, 1, 4, 2, 0, 1, 0, 3, 4, 2, 4, 1, 4, 1, 3, 0, 4, 0, 0, 4, 3, 0, 3, 1, 0, 1, 1, 0, 3, 4, 2, 1, 1, 1, 3, 3, 3, 1, 4, 1, 3, 1, 1, 0, 0, 4, 3, 0, 2, 1, 0, 2, 2, 3, 4, 1, 4, 1, 2, 3, 0, 4, 1, 1, 0, 2, 4, 4, 1, 3, 0, 3, 3, 2, 2, 4, 3, 4, 3, 2, 4, 2, 4, 3, 2, 4, 1, 0, 4, 0, 4, 1, 1, 1, 2, 4, 4, 4, 0, 4, 4, 3, 4, 3, 4, 0, 0, 1, 0, 0, 3, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 4, 4, 2, 4, 0, 2, 2, 3, 1, 0, 3, 1, 1, 3, 1, 3, 1, 3, 3, 2, 2, 2, 3, 4, 3, 4, 3, 0, 3, 3, 3, 4, 2, 4, 1, 3, 3, 4, 4, 0, 0, 4, 3, 3, 2, 1, 3, 4, 3, 3, 4, 2, 2, 0, 2, 4, 2, 0, 0, 3, 2, 1, 4, 2, 4, 2, 4, 3, 3, 4, 0, 4, 0, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 4, 0, 1, 4, 1, 1, 1, 3, 1, 3, 3, 2, 0, 1, 1, 4, 2, 1, 0, 3, 4, 1, 2, 4, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 0, 4, 4, 3, 1, 4, 4, 2, 3, 0, 3, 4, 4, 3, 1, 2, 3, 4, 2, 1, 2, 2, 3, 1, 0, 3, 3, 3, 2, 1, 1, 2, 4, 2, 4, 4, 0, 1, 0, 3, 4, 1, 1, 1, 4, 1, 0, 1, 1, 2, 3, 1, 2, 3, 1, 2, 2, 2, 3, 1, 3, 0, 0, 1, 0, 3, 3, 2, 3, 0, 2, 0, 2, 2, 3, 3, 3, 4, 0, 2, 0, 4, 1, 4, 3, 2, 2, 0, 2] pubkeycol869 = [0, 4, 4, 4, 4, 0, 2, 4, 2, 2, 2, 0, 0, 4, 4, 0, 0, 1, 2, 1, 3, 2, 0, 1, 4, 2, 3, 2, 1, 3, 1, 3, 1, 3, 3, 4, 1, 4, 3, 4, 1, 0, 4, 4, 1, 3, 3, 0, 0, 0, 3, 0, 2, 2, 3, 3, 4, 0, 2, 4, 1, 4, 2, 1, 0, 4, 0, 4, 1, 3, 3, 1, 1, 0, 2, 1, 0, 4, 3, 2, 2, 1, 0, 2, 2, 1, 3, 2, 1, 1, 4, 2, 3, 3, 3, 1, 3, 2, 4, 3, 3, 2, 1, 2, 1, 4, 4, 1, 3, 0, 3, 0, 4, 4, 4, 0, 3, 1, 4, 4, 0, 3, 2, 2, 4, 0, 1, 1, 2, 3, 1, 0, 1, 3, 2, 2, 2, 4, 2, 1, 0, 1, 0, 0, 3, 3, 2, 3, 4, 0, 3, 2, 2, 1, 3, 3, 4, 4, 2, 3, 2, 2, 3, 3, 0, 1, 1, 1, 4, 0, 3, 2, 2, 4, 2, 3, 4, 4, 3, 3, 3, 1, 4, 2, 4, 2, 0, 2, 0, 0, 4, 2, 1, 1, 3, 4, 4, 3, 1, 2, 4, 4, 1, 1, 3, 4, 0, 0, 0, 4, 3, 4, 1, 3, 3, 2, 4, 1, 3, 1, 0, 1, 3, 1, 1, 4, 2, 2, 4, 0, 0, 0, 3, 0, 2, 3, 2, 3, 2, 1, 2, 3, 2, 1, 1, 0, 0, 2, 4, 0, 4, 0, 1, 2, 2, 0, 3, 2, 3, 3, 3, 3, 1, 1, 4, 2, 2, 3, 2, 2, 4, 0, 0, 3, 4, 1, 2, 0, 1, 1, 4, 4, 2, 2, 4, 0, 4, 1, 4, 0, 3, 4, 4, 0, 2, 3, 2, 3, 3, 2, 2, 3, 4, 1, 2, 3, 1, 2, 1, 4, 4, 4, 1, 2, 2, 0, 1, 0, 2, 4, 3, 3, 3, 2, 2, 0, 4, 0, 0, 0, 1, 3, 3, 1, 3, 0, 1, 4, 1, 0, 1, 3, 4, 2, 0, 3, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 3, 2, 2, 3, 1, 1, 2, 1, 0, 3, 2, 1, 1, 3, 3, 3, 2, 3, 0, 0, 2, 4, 1, 0, 2, 2, 4, 1, 3, 4, 2, 1, 2, 4, 4, 1, 3, 4, 0, 0, 1, 3, 3, 3] pubkeycol870 = [4, 2, 0, 3, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 3, 1, 3, 4, 0, 2, 2, 1, 4, 1, 1, 0, 0, 0, 2, 1, 4, 3, 0, 3, 2, 3, 2, 0, 3, 1, 4, 0, 1, 3, 3, 2, 3, 1, 1, 1, 4, 2, 0, 1, 4, 3, 3, 4, 3, 1, 0, 3, 1, 3, 1, 3, 3, 0, 3, 4, 1, 4, 4, 0, 1, 2, 3, 3, 0, 3, 1, 0, 3, 1, 4, 1, 4, 0, 2, 4, 1, 3, 3, 3, 1, 4, 0, 1, 0, 2, 1, 0, 3, 4, 0, 2, 0, 3, 1, 4, 3, 0, 4, 0, 3, 2, 0, 1, 3, 2, 1, 4, 4, 4, 2, 1, 0, 1, 0, 0, 0, 2, 1, 4, 2, 2, 1, 4, 3, 0, 3, 4, 0, 4, 3, 3, 1, 1, 4, 1, 0, 1, 4, 4, 3, 0, 0, 4, 3, 0, 3, 3, 4, 0, 1, 1, 2, 1, 3, 4, 4, 2, 3, 2, 4, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 4, 2, 2, 3, 3, 2, 1, 2, 3, 4, 1, 0, 1, 1, 3, 0, 0, 2, 4, 1, 2, 1, 2, 2, 4, 3, 4, 3, 0, 3, 4, 1, 3, 2, 2, 3, 4, 3, 3, 3, 2, 0, 0, 0, 0, 0, 1, 3, 4, 1, 4, 2, 4, 1, 3, 4, 4, 3, 4, 4, 1, 1, 2, 0, 0, 2, 1, 3, 3, 3, 1, 0, 3, 4, 1, 1, 1, 3, 1, 4, 3, 0, 3, 1, 0, 2, 3, 2, 3, 3, 1, 4, 2, 2, 2, 4, 3, 3, 3, 0, 1, 2, 0, 3, 0, 4, 0, 1, 4, 3, 3, 4, 1, 2, 4, 3, 0, 0, 1, 2, 0, 0, 0, 3, 3, 3, 2, 4, 2, 3, 3, 0, 4, 3, 4, 1, 3, 4, 3, 4, 2, 2, 0, 2, 1, 1, 3, 1, 1, 2, 2, 0, 0, 1, 1, 4, 3, 2, 1, 2, 4, 0, 4, 2, 2, 0, 0, 0, 4, 3, 0, 1, 0, 3, 0, 4, 0, 2, 4, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 4, 3, 4, 4, 2, 0, 2, 1, 0, 0, 4, 3, 4, 4, 0, 2, 3, 1, 3, 2, 3, 4] pubkeycol871 = [2, 0, 2, 2, 1, 2, 0, 4, 0, 3, 3, 2, 4, 4, 4, 4, 1, 2, 1, 3, 0, 4, 2, 1, 3, 3, 0, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 4, 2, 3, 0, 1, 0, 3, 3, 4, 3, 3, 4, 2, 4, 2, 4, 4, 2, 4, 1, 2, 1, 1, 2, 2, 0, 1, 4, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 1, 2, 4, 1, 0, 0, 4, 2, 2, 0, 4, 2, 3, 1, 2, 1, 2, 2, 0, 3, 0, 1, 0, 2, 1, 3, 1, 4, 1, 4, 2, 3, 4, 3, 4, 3, 3, 0, 0, 1, 4, 0, 4, 2, 0, 1, 2, 0, 1, 0, 2, 3, 1, 0, 3, 4, 3, 3, 1, 3, 4, 4, 0, 3, 0, 3, 4, 2, 3, 4, 1, 4, 0, 1, 3, 0, 1, 4, 3, 4, 2, 0, 2, 4, 0, 3, 0, 2, 4, 1, 0, 3, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 2, 0, 1, 2, 4, 3, 0, 2, 3, 2, 2, 0, 3, 4, 3, 0, 2, 1, 0, 3, 0, 2, 0, 3, 3, 1, 1, 3, 4, 1, 4, 4, 3, 4, 4, 2, 4, 2, 3, 0, 4, 2, 2, 2, 4, 4, 1, 0, 1, 0, 3, 1, 3, 1, 4, 1, 0, 4, 2, 2, 1, 2, 4, 2, 2, 4, 2, 3, 3, 4, 0, 4, 1, 3, 4, 3, 4, 0, 3, 3, 4, 4, 3, 2, 3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 2, 3, 2, 4, 1, 3, 2, 4, 3, 2, 3, 2, 3, 2, 3, 2, 0, 4, 2, 0, 2, 4, 2, 3, 1, 4, 1, 2, 2, 1, 2, 3, 0, 0, 4, 3, 0, 1, 1, 4, 0, 1, 0, 0, 0, 1, 4, 2, 0, 3, 0, 1, 2, 0, 3, 1, 0, 0, 1, 3, 0, 1, 2, 0, 2, 2, 4, 3, 3, 3, 0, 1, 4, 4, 0, 1, 0, 3, 2, 0, 2, 4, 3, 4, 1, 1, 4, 3, 0, 2, 1, 0, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 0, 3, 2, 1, 3, 3, 4, 2, 4, 4, 3, 4, 4, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol872 = [4, 1, 3, 0, 4, 1, 4, 1, 4, 3, 2, 4, 1, 2, 4, 4, 0, 2, 3, 0, 1, 3, 4, 4, 3, 3, 0, 1, 1, 3, 1, 0, 1, 1, 3, 2, 3, 0, 1, 3, 3, 4, 2, 1, 3, 0, 2, 0, 0, 0, 4, 4, 3, 3, 0, 0, 4, 1, 4, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 4, 3, 1, 0, 1, 0, 4, 2, 3, 2, 2, 0, 3, 3, 3, 2, 1, 4, 4, 1, 2, 3, 2, 2, 0, 0, 4, 0, 0, 1, 4, 2, 4, 3, 0, 2, 2, 2, 2, 1, 0, 3, 2, 4, 2, 3, 1, 0, 4, 0, 2, 2, 1, 3, 0, 2, 1, 1, 2, 1, 4, 2, 2, 3, 4, 4, 0, 3, 1, 0, 2, 2, 1, 1, 4, 1, 4, 3, 1, 4, 2, 4, 3, 4, 4, 4, 3, 3, 1, 4, 1, 3, 3, 2, 4, 2, 1, 1, 3, 4, 3, 1, 4, 1, 0, 0, 4, 2, 0, 2, 0, 2, 1, 0, 4, 0, 2, 2, 3, 0, 0, 4, 1, 3, 1, 1, 3, 1, 3, 4, 1, 0, 1, 4, 4, 0, 3, 4, 4, 3, 4, 3, 4, 0, 1, 0, 2, 4, 4, 1, 4, 1, 1, 3, 4, 0, 1, 2, 1, 4, 2, 0, 4, 2, 4, 1, 1, 0, 2, 4, 1, 3, 4, 2, 3, 1, 0, 1, 1, 2, 4, 3, 3, 4, 2, 4, 0, 3, 3, 4, 2, 1, 1, 2, 4, 3, 2, 3, 0, 4, 1, 2, 1, 4, 3, 0, 3, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 4, 1, 0, 3, 0, 3, 3, 0, 3, 2, 2, 0, 2, 3, 4, 4, 0, 0, 3, 2, 3, 2, 0, 0, 0, 3, 2, 3, 4, 2, 0, 3, 0, 0, 3, 1, 4, 3, 2, 3, 4, 3, 4, 0, 4, 0, 4, 4, 1, 4, 4, 3, 0, 4, 4, 4, 1, 1, 2, 0, 0, 4, 3, 4, 2, 3, 0, 3, 1, 1, 0, 0, 2, 0, 2, 2, 3, 2, 0, 0, 3, 4, 3, 0, 3, 3, 3, 4, 4, 0, 0, 4, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 4, 0, 3, 4, 3, 4, 4, 3, 3] pubkeycol873 = [0, 1, 3, 0, 0, 2, 1, 3, 2, 2, 1, 0, 1, 1, 3, 2, 2, 0, 3, 2, 3, 4, 0, 1, 2, 1, 3, 4, 2, 2, 2, 3, 2, 1, 0, 4, 1, 0, 1, 3, 1, 2, 1, 4, 0, 3, 4, 4, 2, 4, 1, 0, 1, 2, 4, 2, 3, 3, 4, 3, 4, 2, 2, 3, 1, 4, 0, 4, 0, 1, 2, 4, 0, 4, 3, 2, 1, 4, 0, 0, 1, 4, 3, 3, 1, 3, 0, 0, 0, 3, 0, 3, 3, 1, 2, 2, 0, 3, 0, 1, 4, 0, 1, 4, 0, 4, 3, 0, 3, 2, 4, 2, 1, 0, 4, 0, 3, 1, 3, 0, 3, 1, 1, 1, 3, 4, 4, 1, 1, 4, 1, 4, 2, 2, 2, 1, 0, 3, 3, 2, 1, 4, 0, 3, 0, 3, 2, 4, 3, 0, 1, 3, 1, 4, 0, 2, 4, 0, 1, 4, 2, 3, 4, 4, 4, 2, 2, 0, 1, 1, 4, 3, 1, 1, 2, 4, 0, 0, 3, 0, 3, 4, 0, 0, 3, 4, 3, 0, 4, 2, 1, 3, 2, 1, 3, 3, 0, 4, 4, 2, 1, 4, 2, 2, 4, 4, 1, 1, 1, 1, 3, 3, 3, 0, 4, 3, 2, 4, 0, 3, 1, 3, 3, 1, 4, 1, 4, 1, 3, 4, 4, 3, 4, 0, 4, 2, 1, 4, 3, 1, 2, 0, 0, 2, 3, 2, 2, 2, 0, 2, 0, 3, 4, 0, 1, 1, 1, 3, 0, 4, 0, 0, 3, 4, 4, 4, 0, 3, 2, 0, 4, 3, 0, 0, 1, 2, 4, 3, 0, 2, 0, 3, 3, 0, 0, 4, 1, 2, 2, 4, 0, 4, 1, 1, 0, 0, 0, 4, 3, 4, 0, 0, 2, 2, 4, 2, 1, 1, 2, 1, 1, 3, 2, 0, 4, 3, 1, 1, 3, 3, 2, 2, 0, 4, 1, 1, 4, 1, 2, 1, 1, 0, 1, 3, 3, 2, 0, 4, 3, 3, 1, 1, 0, 0, 0, 0, 2, 3, 2, 2, 1, 3, 0, 3, 3, 4, 4, 1, 3, 1, 4, 3, 3, 0, 1, 2, 3, 1, 0, 3, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 4, 1, 1, 4, 4, 1, 1, 3, 3, 2, 2, 0, 3, 1, 0, 2, 1, 1, 3] pubkeycol874 = [1, 4, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 2, 2, 1, 2, 0, 1, 3, 0, 0, 0, 4, 1, 1, 1, 2, 0, 3, 1, 2, 2, 1, 4, 3, 2, 0, 1, 4, 3, 4, 2, 2, 2, 4, 1, 0, 1, 3, 1, 1, 2, 1, 0, 4, 2, 2, 1, 1, 3, 1, 0, 3, 3, 3, 4, 3, 2, 3, 1, 3, 3, 3, 0, 3, 2, 1, 1, 2, 1, 3, 4, 4, 3, 3, 1, 2, 3, 4, 4, 0, 2, 0, 1, 3, 2, 4, 1, 0, 3, 2, 0, 0, 2, 0, 1, 1, 4, 3, 4, 4, 3, 0, 3, 3, 0, 2, 3, 1, 2, 4, 3, 2, 0, 0, 2, 4, 2, 0, 3, 1, 0, 0, 3, 4, 4, 2, 3, 1, 3, 0, 3, 1, 4, 0, 2, 1, 1, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 3, 2, 2, 1, 1, 2, 4, 0, 3, 0, 4, 3, 3, 4, 4, 0, 3, 4, 3, 1, 3, 1, 4, 2, 4, 0, 4, 1, 3, 2, 3, 2, 3, 4, 2, 2, 2, 0, 3, 4, 2, 3, 3, 0, 0, 4, 3, 1, 3, 3, 0, 2, 2, 2, 3, 3, 2, 4, 1, 0, 2, 4, 0, 0, 4, 2, 0, 3, 0, 2, 2, 0, 3, 0, 0, 2, 2, 1, 1, 1, 0, 4, 0, 4, 2, 0, 3, 0, 4, 4, 2, 2, 1, 3, 1, 1, 1, 4, 1, 4, 2, 0, 1, 2, 2, 2, 0, 4, 2, 4, 0, 0, 0, 3, 0, 2, 2, 0, 4, 3, 0, 0, 2, 1, 2, 4, 0, 4, 3, 1, 1, 0, 0, 2, 1, 0, 0, 4, 3, 2, 4, 4, 1, 1, 2, 4, 4, 0, 4, 3, 3, 1, 1, 3, 1, 1, 1, 0, 0, 0, 3, 2, 4, 3, 2, 0, 2, 1, 0, 1, 0, 4, 2, 4, 2, 2, 0, 4, 3, 3, 4, 1, 3, 2, 0, 1, 3, 0, 4, 1, 3, 4, 4, 2, 1, 2, 1, 3, 2, 2, 2, 0, 3, 0, 1, 2, 2, 0, 1, 3, 4, 2, 0, 2, 3, 4, 4, 0, 4, 0, 4, 2, 1, 3, 1, 1, 2, 2, 1, 3, 4, 0, 4, 4, 1, 3, 2, 4] pubkeycol875 = [2, 3, 0, 0, 2, 2, 1, 4, 1, 1, 2, 1, 2, 1, 0, 3, 2, 0, 4, 2, 0, 0, 3, 2, 4, 2, 1, 2, 4, 1, 0, 0, 1, 0, 0, 3, 3, 0, 1, 0, 4, 1, 2, 3, 1, 1, 4, 1, 3, 0, 2, 2, 4, 1, 2, 4, 4, 0, 2, 1, 3, 0, 3, 2, 1, 4, 2, 0, 2, 3, 0, 0, 4, 2, 3, 1, 0, 1, 2, 1, 4, 1, 4, 2, 4, 2, 3, 1, 1, 2, 2, 4, 1, 0, 1, 0, 4, 1, 2, 3, 0, 2, 3, 0, 4, 1, 2, 2, 0, 4, 1, 2, 2, 0, 3, 1, 1, 4, 3, 0, 4, 3, 2, 2, 4, 0, 0, 2, 1, 2, 2, 1, 4, 3, 1, 3, 2, 1, 0, 4, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 4, 1, 1, 0, 3, 1, 4, 1, 3, 1, 4, 3, 1, 1, 1, 3, 0, 2, 1, 3, 4, 4, 2, 0, 1, 3, 4, 0, 0, 1, 3, 2, 4, 3, 0, 4, 1, 3, 0, 2, 3, 3, 3, 0, 2, 1, 4, 4, 1, 3, 3, 1, 1, 2, 4, 2, 2, 2, 1, 1, 2, 2, 3, 0, 3, 2, 1, 2, 4, 3, 2, 2, 1, 0, 1, 1, 0, 4, 3, 4, 3, 3, 4, 4, 1, 1, 1, 0, 2, 4, 0, 2, 2, 3, 3, 2, 4, 1, 2, 4, 3, 1, 1, 0, 0, 2, 2, 1, 2, 4, 2, 2, 0, 2, 4, 4, 3, 0, 2, 4, 0, 4, 4, 4, 4, 4, 2, 4, 4, 1, 0, 4, 4, 2, 0, 3, 0, 0, 2, 3, 4, 2, 2, 3, 3, 0, 1, 2, 4, 4, 1, 4, 2, 2, 2, 1, 3, 4, 0, 1, 2, 4, 4, 1, 1, 1, 4, 0, 0, 1, 1, 1, 0, 3, 0, 3, 0, 1, 2, 2, 0, 0, 4, 4, 4, 3, 3, 3, 0, 3, 2, 3, 2, 1, 0, 4, 2, 4, 1, 3, 2, 0, 2, 0, 1, 1, 1, 4, 2, 4, 4, 1, 0, 1, 2, 2, 0, 2, 4, 4, 3, 4, 1, 0, 2, 3, 2, 2, 4, 1, 4, 4, 1, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 4, 3, 3, 3, 3, 2] pubkeycol876 = [0, 3, 0, 0, 2, 2, 2, 0, 0, 1, 3, 4, 2, 4, 4, 0, 2, 4, 0, 3, 1, 2, 2, 2, 4, 3, 1, 4, 0, 4, 0, 4, 0, 3, 0, 4, 1, 4, 2, 4, 2, 0, 3, 3, 4, 0, 0, 1, 0, 4, 1, 1, 0, 0, 4, 1, 4, 3, 0, 4, 4, 2, 2, 4, 3, 1, 3, 1, 3, 3, 0, 1, 4, 4, 1, 0, 0, 3, 3, 4, 0, 2, 2, 2, 1, 4, 4, 3, 0, 3, 3, 3, 1, 4, 0, 4, 3, 0, 3, 3, 2, 3, 0, 2, 2, 3, 3, 4, 0, 3, 3, 1, 0, 1, 4, 2, 2, 4, 0, 4, 0, 4, 4, 3, 3, 0, 1, 4, 2, 0, 4, 4, 2, 1, 3, 0, 3, 0, 2, 4, 4, 3, 2, 2, 4, 2, 1, 3, 4, 0, 4, 3, 4, 2, 0, 3, 3, 0, 4, 4, 1, 0, 4, 3, 0, 2, 0, 4, 2, 4, 0, 2, 0, 0, 2, 4, 0, 3, 0, 1, 0, 4, 1, 4, 1, 1, 4, 1, 3, 4, 0, 1, 4, 3, 4, 2, 2, 2, 0, 1, 3, 2, 3, 1, 2, 0, 3, 2, 1, 4, 2, 3, 0, 1, 4, 4, 1, 1, 3, 0, 1, 3, 2, 4, 0, 3, 2, 2, 4, 1, 4, 4, 1, 0, 3, 3, 1, 1, 3, 0, 3, 0, 4, 1, 2, 0, 2, 2, 1, 0, 0, 1, 4, 3, 4, 1, 1, 0, 2, 1, 0, 0, 3, 4, 2, 2, 2, 3, 2, 1, 3, 1, 3, 4, 1, 2, 1, 3, 2, 3, 2, 0, 3, 1, 3, 1, 4, 1, 1, 4, 0, 1, 3, 2, 4, 3, 4, 3, 4, 2, 0, 2, 4, 0, 2, 3, 1, 4, 1, 1, 4, 3, 4, 0, 3, 3, 4, 3, 4, 4, 3, 3, 1, 4, 2, 1, 3, 3, 3, 0, 0, 2, 0, 4, 1, 3, 0, 2, 2, 1, 0, 2, 1, 2, 0, 3, 2, 2, 2, 3, 2, 0, 0, 0, 1, 3, 4, 4, 1, 2, 3, 1, 4, 3, 0, 1, 4, 2, 4, 3, 4, 4, 4, 2, 2, 4, 0, 2, 0, 3, 1, 2, 2, 1, 3, 1, 2, 4, 4, 3, 2, 2, 2, 4, 3, 4, 2, 3, 1, 0] pubkeycol877 = [3, 0, 2, 3, 3, 0, 0, 2, 3, 4, 0, 2, 0, 0, 3, 0, 0, 3, 1, 2, 1, 2, 2, 0, 3, 1, 2, 3, 0, 1, 1, 3, 0, 4, 3, 3, 2, 1, 1, 0, 0, 2, 1, 0, 3, 3, 4, 1, 4, 0, 4, 1, 4, 2, 1, 1, 0, 2, 4, 0, 1, 1, 3, 3, 3, 1, 3, 0, 1, 1, 2, 0, 3, 1, 0, 3, 2, 1, 2, 0, 1, 4, 0, 3, 1, 1, 3, 1, 1, 2, 4, 0, 4, 0, 1, 3, 0, 0, 0, 2, 2, 3, 2, 4, 3, 0, 0, 0, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 2, 4, 0, 1, 0, 1, 0, 3, 1, 0, 4, 4, 1, 4, 3, 0, 0, 0, 3, 4, 2, 0, 0, 0, 2, 4, 2, 2, 3, 4, 1, 2, 2, 0, 3, 4, 4, 2, 4, 4, 4, 1, 0, 0, 0, 4, 1, 1, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 3, 0, 0, 4, 3, 4, 1, 3, 0, 3, 2, 4, 1, 1, 2, 1, 3, 0, 4, 4, 4, 0, 1, 0, 0, 1, 1, 1, 1, 4, 0, 4, 1, 2, 2, 4, 0, 2, 4, 1, 0, 2, 4, 3, 3, 3, 2, 3, 0, 0, 4, 1, 1, 3, 1, 1, 4, 0, 4, 0, 3, 2, 4, 1, 4, 2, 1, 2, 1, 2, 3, 0, 0, 3, 0, 1, 1, 3, 0, 3, 1, 4, 1, 3, 1, 0, 4, 0, 2, 0, 1, 2, 3, 4, 4, 1, 4, 3, 0, 4, 1, 1, 0, 2, 0, 2, 2, 4, 2, 0, 4, 0, 0, 1, 4, 2, 3, 1, 4, 2, 3, 3, 3, 3, 3, 4, 0, 1, 3, 1, 4, 1, 4, 3, 2, 1, 3, 3, 3, 4, 4, 0, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 1, 4, 4, 2, 2, 4, 2, 4, 0, 3, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 4, 0, 4, 1, 2, 2, 4, 3, 2, 1, 2, 1, 3, 0, 1, 0, 0, 3, 0, 3, 3, 2, 3, 3, 1, 1, 1, 3, 4, 1, 4, 3, 2, 2, 4, 0, 2, 1, 0, 1, 2, 3, 0, 3, 1, 3, 0, 1, 3, 2, 1, 3] pubkeycol878 = [4, 3, 1, 1, 1, 4, 2, 2, 3, 2, 0, 3, 4, 2, 0, 3, 2, 4, 0, 3, 4, 0, 1, 3, 2, 1, 0, 2, 4, 4, 2, 4, 4, 4, 4, 1, 2, 1, 2, 1, 2, 0, 3, 2, 1, 1, 2, 0, 1, 3, 1, 4, 3, 4, 0, 1, 1, 1, 2, 0, 0, 2, 2, 3, 2, 0, 0, 4, 3, 4, 3, 0, 1, 1, 0, 4, 0, 4, 4, 1, 3, 2, 0, 3, 4, 3, 4, 1, 1, 4, 4, 1, 1, 1, 3, 1, 2, 0, 1, 2, 2, 2, 3, 1, 3, 0, 1, 3, 0, 4, 4, 2, 1, 4, 4, 2, 2, 2, 4, 1, 4, 4, 2, 1, 2, 0, 2, 0, 4, 3, 0, 2, 3, 3, 1, 2, 2, 4, 2, 2, 4, 3, 4, 0, 4, 4, 0, 2, 0, 1, 2, 0, 0, 0, 3, 2, 0, 0, 0, 1, 1, 4, 3, 0, 0, 3, 0, 0, 3, 2, 0, 3, 2, 1, 1, 0, 2, 4, 0, 1, 2, 3, 0, 0, 3, 0, 4, 3, 0, 1, 4, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 4, 4, 0, 0, 3, 3, 1, 3, 4, 0, 1, 2, 4, 2, 1, 0, 1, 3, 1, 2, 4, 1, 4, 0, 3, 3, 0, 4, 4, 1, 3, 1, 3, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 2, 1, 0, 0, 3, 1, 2, 1, 3, 3, 2, 1, 3, 1, 3, 3, 4, 0, 4, 1, 2, 4, 4, 0, 2, 2, 0, 2, 3, 2, 0, 0, 4, 3, 2, 2, 4, 3, 1, 3, 1, 0, 4, 0, 1, 2, 1, 4, 0, 3, 3, 1, 2, 1, 0, 3, 3, 4, 1, 4, 0, 2, 2, 1, 0, 1, 4, 4, 4, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 3, 2, 2, 1, 1, 2, 2, 4, 2, 1, 3, 2, 4, 3, 0, 0, 2, 4, 2, 3, 2, 0, 1, 1, 0, 3, 4, 3, 2, 4, 3, 1, 1, 4, 3, 1, 1, 0, 2, 2, 4, 4, 1, 3, 4, 1, 2, 1, 1, 2, 4, 1, 3, 4, 2, 2, 0, 4, 4, 3, 2] pubkeycol879 = [3, 1, 4, 1, 3, 3, 4, 2, 4, 2, 3, 1, 1, 4, 0, 1, 1, 1, 2, 4, 4, 2, 4, 0, 1, 4, 3, 2, 3, 3, 4, 0, 2, 3, 2, 1, 1, 1, 1, 0, 3, 3, 3, 0, 3, 4, 1, 3, 2, 1, 2, 1, 1, 1, 3, 1, 2, 0, 2, 2, 0, 3, 4, 0, 2, 1, 4, 2, 1, 4, 2, 0, 3, 1, 0, 2, 3, 1, 2, 4, 2, 2, 0, 2, 4, 4, 1, 1, 3, 1, 0, 2, 4, 2, 0, 0, 1, 2, 1, 1, 4, 0, 0, 0, 4, 0, 3, 4, 4, 1, 2, 3, 1, 4, 4, 1, 3, 2, 3, 0, 0, 3, 1, 3, 4, 3, 1, 1, 0, 0, 4, 2, 2, 0, 0, 1, 3, 4, 3, 1, 1, 4, 1, 1, 2, 4, 1, 2, 2, 1, 0, 3, 0, 2, 2, 4, 3, 0, 0, 2, 3, 3, 2, 1, 3, 3, 3, 4, 1, 3, 1, 4, 2, 2, 4, 3, 2, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 1, 2, 4, 1, 4, 3, 1, 1, 2, 4, 4, 2, 0, 0, 4, 1, 4, 3, 1, 2, 0, 4, 1, 3, 2, 2, 3, 4, 2, 1, 3, 4, 0, 0, 4, 2, 3, 0, 2, 3, 1, 1, 0, 0, 3, 3, 2, 4, 1, 2, 1, 2, 0, 2, 2, 4, 0, 2, 0, 2, 3, 1, 0, 1, 2, 4, 4, 3, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 0, 2, 3, 2, 1, 2, 0, 3, 0, 3, 1, 3, 2, 4, 2, 0, 2, 0, 1, 0, 1, 2, 3, 0, 4, 4, 1, 2, 2, 0, 3, 4, 4, 3, 0, 0, 4, 1, 1, 3, 4, 0, 3, 1, 4, 0, 4, 0, 1, 3, 1, 2, 4, 2, 0, 4, 3, 2, 1, 3, 1, 1, 3, 4, 4, 4, 1, 3, 4, 2, 1, 1, 3, 1, 2, 4, 4, 0, 1, 0, 0, 2, 4, 1, 1, 2, 2, 1, 3, 2, 1, 0, 4, 3, 4, 1, 2, 0, 1, 3, 3, 4, 2, 0, 2, 4, 2, 1, 0, 3, 1, 1, 3, 2, 0, 4, 4, 1, 0, 2, 0, 3, 0, 2, 4, 4, 2, 3, 1, 0, 3, 2, 4] pubkeycol880 = [3, 4, 2, 3, 2, 0, 4, 0, 4, 4, 0, 2, 3, 2, 1, 0, 3, 1, 0, 0, 0, 4, 0, 1, 1, 2, 2, 4, 2, 3, 2, 1, 0, 0, 2, 1, 4, 2, 2, 3, 1, 0, 2, 1, 3, 0, 1, 1, 0, 0, 2, 4, 2, 3, 0, 4, 0, 2, 4, 0, 0, 4, 0, 0, 0, 1, 2, 1, 0, 0, 0, 4, 1, 3, 1, 4, 2, 4, 3, 3, 1, 2, 4, 4, 2, 2, 3, 2, 4, 4, 2, 3, 1, 2, 0, 1, 1, 3, 1, 1, 0, 3, 3, 1, 2, 3, 1, 3, 3, 1, 4, 3, 4, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 3, 0, 4, 1, 2, 4, 0, 2, 3, 3, 0, 1, 3, 0, 4, 4, 4, 3, 4, 0, 0, 4, 3, 3, 1, 1, 2, 2, 4, 2, 1, 4, 4, 4, 3, 0, 0, 4, 1, 3, 0, 2, 0, 2, 2, 4, 3, 2, 1, 4, 3, 4, 3, 2, 4, 1, 4, 4, 3, 0, 1, 3, 2, 2, 2, 0, 3, 0, 2, 0, 3, 3, 2, 1, 0, 0, 3, 3, 2, 1, 2, 0, 2, 4, 3, 2, 2, 4, 4, 2, 3, 3, 4, 3, 0, 3, 0, 2, 1, 2, 4, 2, 3, 3, 0, 1, 2, 4, 2, 4, 3, 3, 4, 4, 4, 3, 4, 2, 1, 4, 2, 0, 0, 3, 1, 0, 2, 1, 0, 1, 2, 3, 0, 1, 3, 2, 0, 4, 1, 1, 2, 2, 3, 3, 4, 2, 4, 4, 0, 0, 4, 2, 3, 1, 2, 0, 3, 1, 3, 0, 3, 2, 3, 2, 2, 2, 3, 1, 2, 0, 2, 1, 3, 4, 0, 2, 0, 2, 4, 2, 4, 1, 0, 3, 3, 1, 2, 4, 3, 2, 4, 3, 1, 0, 3, 2, 3, 1, 0, 0, 3, 3, 4, 3, 2, 1, 4, 2, 0, 0, 4, 3, 1, 2, 3, 0, 2, 3, 1, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 3, 3, 0, 2, 1, 4, 1, 2, 3, 1, 4, 2, 3, 4, 4, 3, 1, 3, 0, 4, 4, 4, 3, 0, 1, 4, 0, 2, 1, 4, 1, 4, 3, 0, 1, 0, 3, 3, 3, 0, 2, 4, 1, 2, 0, 2] pubkeycol881 = [0, 2, 0, 0, 1, 0, 4, 2, 0, 4, 2, 3, 0, 0, 4, 0, 4, 2, 3, 4, 2, 0, 3, 4, 3, 3, 0, 4, 3, 2, 2, 0, 2, 2, 0, 3, 4, 2, 2, 2, 2, 4, 1, 4, 0, 1, 1, 0, 1, 3, 2, 0, 2, 0, 4, 4, 0, 3, 4, 3, 0, 4, 1, 0, 2, 2, 2, 3, 2, 2, 1, 2, 4, 1, 2, 4, 3, 1, 3, 2, 2, 4, 1, 3, 1, 4, 3, 1, 3, 0, 0, 2, 2, 1, 4, 0, 4, 1, 3, 2, 3, 4, 1, 2, 4, 2, 1, 4, 4, 3, 2, 2, 0, 3, 2, 0, 4, 0, 2, 1, 4, 2, 1, 3, 4, 2, 0, 0, 2, 1, 2, 2, 4, 1, 0, 3, 3, 0, 3, 4, 2, 0, 0, 1, 2, 0, 0, 1, 4, 0, 0, 2, 4, 3, 4, 3, 2, 2, 4, 3, 1, 2, 0, 3, 3, 2, 1, 3, 1, 4, 2, 4, 2, 4, 2, 1, 2, 1, 2, 0, 2, 4, 4, 1, 3, 0, 3, 2, 0, 0, 4, 4, 4, 2, 0, 0, 2, 0, 1, 4, 2, 1, 1, 3, 2, 0, 2, 2, 0, 1, 1, 4, 1, 4, 2, 4, 3, 0, 4, 2, 3, 1, 2, 2, 3, 1, 3, 2, 3, 0, 1, 2, 2, 0, 2, 2, 3, 0, 2, 2, 3, 2, 4, 4, 3, 3, 3, 2, 3, 1, 3, 3, 3, 4, 1, 3, 1, 1, 0, 1, 2, 0, 2, 4, 3, 0, 0, 2, 0, 0, 2, 4, 3, 2, 3, 1, 4, 3, 4, 4, 2, 0, 1, 4, 2, 1, 1, 4, 3, 2, 4, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 4, 3, 3, 2, 2, 1, 1, 4, 2, 3, 0, 2, 4, 4, 1, 4, 2, 2, 0, 0, 2, 4, 1, 0, 2, 2, 0, 1, 0, 1, 4, 3, 3, 1, 3, 4, 4, 1, 3, 0, 1, 0, 3, 3, 1, 0, 0, 1, 1, 4, 2, 3, 0, 4, 0, 2, 4, 4, 2, 1, 3, 3, 1, 4, 0, 3, 4, 0, 0, 4, 2, 1, 1, 0, 2, 1, 1, 1, 3, 1, 0, 3, 1, 3, 3, 2, 4, 2, 4, 1, 4, 2, 2, 3, 0, 2, 4] pubkeycol882 = [2, 2, 3, 2, 0, 1, 4, 0, 3, 3, 1, 0, 4, 1, 1, 3, 3, 1, 2, 1, 4, 0, 3, 0, 3, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 4, 3, 3, 2, 3, 4, 1, 2, 4, 2, 4, 1, 3, 3, 0, 3, 1, 3, 0, 3, 3, 1, 2, 0, 4, 4, 2, 4, 2, 4, 4, 4, 1, 2, 2, 4, 3, 3, 2, 4, 0, 1, 4, 0, 1, 4, 3, 1, 0, 4, 0, 4, 3, 3, 2, 0, 1, 4, 2, 1, 4, 4, 0, 1, 3, 0, 0, 2, 3, 0, 2, 0, 0, 2, 2, 4, 3, 2, 1, 3, 0, 4, 2, 3, 2, 1, 0, 2, 1, 0, 2, 2, 4, 0, 1, 2, 0, 4, 2, 2, 0, 4, 0, 4, 0, 3, 0, 4, 1, 2, 2, 3, 3, 3, 2, 2, 3, 1, 1, 1, 2, 3, 0, 3, 2, 3, 0, 3, 3, 3, 3, 0, 4, 2, 2, 3, 3, 4, 2, 0, 2, 4, 0, 2, 2, 4, 0, 3, 1, 0, 0, 2, 1, 2, 1, 3, 0, 4, 0, 0, 3, 1, 1, 0, 3, 3, 1, 1, 4, 3, 4, 1, 1, 0, 4, 4, 4, 0, 2, 4, 1, 4, 0, 4, 2, 4, 0, 3, 3, 3, 4, 0, 0, 4, 3, 3, 2, 4, 4, 1, 3, 3, 0, 1, 1, 4, 2, 2, 1, 3, 4, 3, 0, 3, 2, 3, 0, 0, 0, 4, 2, 2, 2, 4, 4, 4, 1, 3, 2, 3, 3, 0, 2, 4, 2, 1, 3, 4, 1, 0, 4, 2, 3, 0, 3, 4, 1, 0, 3, 2, 0, 0, 2, 1, 3, 3, 1, 3, 3, 0, 4, 1, 3, 2, 0, 2, 1, 3, 4, 4, 0, 2, 3, 2, 0, 1, 4, 0, 4, 1, 1, 3, 3, 1, 2, 2, 2, 2, 0, 4, 0, 1, 1, 0, 4, 0, 3, 4, 3, 0, 1, 4, 1, 4, 3, 0, 2, 3, 4, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 3, 2, 0, 1, 4, 4, 0, 4, 3, 0, 4, 4, 4, 4, 1, 3, 3, 4, 0, 3, 2, 1, 2, 1, 3, 4, 1, 1, 0, 3, 1, 3, 0, 3, 0, 0, 3, 0, 4, 4, 3, 0, 0, 1, 1, 0] pubkeycol883 = [3, 4, 0, 4, 2, 0, 2, 2, 4, 3, 0, 2, 3, 3, 2, 2, 2, 3, 1, 3, 4, 3, 3, 4, 1, 2, 4, 4, 1, 2, 2, 3, 3, 2, 2, 0, 3, 2, 4, 0, 1, 1, 4, 4, 4, 3, 3, 2, 4, 3, 1, 3, 0, 2, 0, 2, 1, 1, 3, 3, 0, 0, 4, 4, 1, 0, 4, 4, 4, 3, 4, 3, 2, 3, 2, 4, 4, 0, 4, 2, 2, 4, 1, 4, 4, 3, 0, 4, 3, 3, 0, 1, 3, 3, 2, 1, 2, 2, 2, 2, 0, 4, 0, 3, 1, 1, 1, 3, 4, 0, 1, 3, 3, 1, 3, 1, 0, 1, 3, 3, 0, 3, 2, 2, 0, 1, 3, 1, 0, 0, 3, 3, 4, 2, 3, 2, 4, 2, 3, 0, 4, 0, 4, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 4, 4, 0, 0, 4, 2, 2, 0, 4, 4, 0, 4, 3, 0, 2, 0, 3, 2, 4, 1, 0, 2, 3, 2, 1, 0, 3, 4, 3, 1, 3, 1, 4, 2, 3, 3, 4, 0, 0, 3, 2, 3, 1, 4, 1, 0, 3, 3, 2, 4, 3, 2, 4, 4, 2, 0, 3, 3, 2, 4, 2, 2, 1, 1, 4, 2, 1, 4, 1, 0, 4, 4, 0, 0, 2, 3, 3, 4, 1, 4, 4, 3, 2, 3, 1, 3, 2, 4, 4, 3, 1, 3, 0, 0, 3, 3, 4, 3, 1, 3, 1, 2, 2, 2, 3, 4, 0, 1, 4, 0, 1, 4, 0, 0, 3, 0, 2, 4, 2, 1, 0, 2, 0, 4, 2, 2, 2, 1, 2, 3, 1, 4, 0, 3, 0, 2, 3, 4, 1, 2, 0, 1, 3, 4, 1, 2, 2, 4, 4, 4, 3, 3, 1, 2, 1, 0, 4, 4, 2, 3, 3, 3, 3, 3, 2, 3, 0, 0, 4, 4, 3, 4, 4, 4, 0, 1, 2, 2, 1, 4, 0, 2, 0, 4, 2, 2, 3, 2, 2, 3, 3, 4, 0, 1, 2, 4, 2, 4, 2, 3, 4, 0, 3, 1, 2, 0, 2, 1, 3, 0, 1, 0, 0, 0, 2, 2, 1, 4, 2, 3, 2, 3, 2, 2, 0, 4, 2, 2, 3, 4, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 4, 4, 3, 4, 3, 1] pubkeycol884 = [4, 3, 3, 4, 2, 1, 3, 1, 4, 0, 2, 4, 4, 3, 4, 1, 2, 4, 4, 3, 3, 0, 3, 0, 2, 3, 0, 4, 2, 0, 4, 3, 4, 4, 3, 3, 2, 4, 2, 0, 0, 2, 0, 0, 3, 2, 3, 4, 2, 1, 0, 0, 1, 1, 3, 0, 4, 2, 2, 3, 4, 4, 0, 3, 0, 2, 2, 4, 0, 4, 0, 4, 2, 0, 1, 3, 3, 2, 1, 4, 2, 0, 0, 3, 1, 1, 4, 0, 1, 3, 2, 4, 0, 3, 2, 3, 3, 0, 0, 1, 0, 4, 4, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 0, 4, 4, 4, 4, 0, 1, 3, 1, 3, 4, 0, 3, 4, 4, 2, 4, 1, 1, 1, 1, 4, 1, 1, 3, 1, 3, 0, 2, 0, 1, 4, 0, 3, 4, 2, 2, 4, 0, 4, 2, 2, 3, 3, 2, 3, 4, 2, 2, 4, 1, 0, 2, 3, 1, 4, 1, 1, 3, 4, 0, 1, 4, 4, 0, 4, 0, 4, 3, 0, 1, 2, 0, 0, 0, 0, 2, 4, 2, 4, 4, 1, 0, 2, 0, 0, 3, 3, 3, 3, 3, 4, 1, 3, 1, 1, 1, 0, 3, 3, 0, 3, 4, 3, 2, 4, 3, 2, 3, 3, 1, 2, 2, 3, 2, 4, 1, 1, 3, 4, 0, 3, 3, 2, 3, 3, 2, 4, 4, 3, 3, 3, 1, 0, 4, 0, 0, 3, 0, 3, 0, 1, 3, 4, 0, 2, 2, 3, 2, 0, 1, 0, 0, 4, 0, 1, 4, 2, 1, 4, 4, 0, 4, 4, 3, 3, 0, 2, 0, 3, 4, 2, 4, 2, 3, 1, 2, 3, 1, 3, 1, 1, 1, 1, 1, 3, 4, 2, 4, 1, 2, 2, 1, 1, 0, 0, 3, 1, 3, 4, 4, 0, 2, 3, 0, 1, 0, 1, 1, 1, 3, 1, 0, 1, 2, 3, 0, 0, 1, 3, 1, 2, 1, 3, 0, 3, 3, 1, 4, 3, 3, 1, 2, 1, 4, 0, 0, 1, 4, 0, 0, 2, 1, 3, 0, 3, 4, 4, 3, 2, 0, 1, 4, 2, 0, 4, 2, 3, 3, 2, 2, 1, 3, 3, 1, 4, 2, 2, 3, 4, 0, 4, 1, 4, 3, 4, 1, 1, 3, 1, 3, 1, 4, 1, 3, 1, 1] pubkeycol885 = [3, 4, 0, 4, 1, 1, 2, 3, 4, 4, 0, 1, 2, 0, 1, 3, 0, 4, 1, 4, 3, 3, 3, 2, 1, 2, 4, 3, 4, 1, 1, 3, 0, 2, 0, 1, 0, 3, 1, 2, 0, 3, 4, 3, 4, 2, 0, 1, 0, 3, 1, 0, 3, 4, 4, 3, 0, 1, 2, 2, 4, 4, 0, 1, 3, 1, 1, 4, 4, 3, 0, 1, 1, 1, 2, 2, 4, 4, 4, 3, 3, 2, 0, 0, 2, 2, 4, 3, 0, 3, 4, 0, 1, 0, 0, 4, 1, 1, 1, 4, 2, 0, 4, 2, 4, 1, 4, 4, 2, 3, 0, 3, 0, 4, 2, 0, 1, 4, 2, 3, 1, 0, 1, 3, 2, 3, 0, 2, 3, 1, 0, 3, 2, 2, 3, 1, 3, 3, 4, 2, 2, 1, 3, 0, 4, 1, 4, 1, 3, 3, 0, 0, 4, 1, 3, 2, 3, 2, 1, 3, 0, 3, 0, 1, 0, 1, 4, 2, 1, 2, 4, 2, 0, 4, 0, 0, 1, 2, 4, 3, 0, 3, 2, 4, 1, 3, 0, 2, 3, 1, 3, 3, 2, 2, 2, 3, 3, 2, 3, 4, 1, 2, 4, 1, 3, 4, 4, 2, 3, 2, 3, 0, 0, 3, 1, 4, 1, 3, 4, 3, 4, 3, 4, 4, 3, 0, 3, 3, 4, 1, 3, 1, 2, 3, 1, 3, 4, 1, 0, 0, 3, 3, 0, 4, 2, 2, 2, 0, 1, 1, 4, 3, 3, 1, 0, 2, 3, 2, 3, 4, 3, 1, 2, 2, 0, 3, 1, 3, 1, 2, 4, 3, 2, 1, 4, 2, 4, 4, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 4, 3, 4, 3, 2, 4, 0, 0, 1, 2, 3, 0, 2, 2, 1, 4, 4, 4, 1, 2, 4, 4, 2, 2, 3, 3, 2, 0, 0, 3, 1, 0, 0, 3, 4, 3, 1, 2, 0, 2, 4, 1, 3, 0, 2, 4, 4, 4, 1, 0, 1, 1, 3, 2, 3, 4, 2, 2, 3, 2, 4, 1, 2, 3, 1, 4, 1, 1, 4, 4, 0, 4, 2, 4, 2, 0, 2, 1, 1, 2, 4, 4, 3, 2, 2, 4, 1, 1, 2, 3, 0, 2, 2, 4, 4, 4, 4, 3, 2, 4, 1, 3, 3, 0, 2, 4, 2, 4, 1, 0, 3] pubkeycol886 = [1, 4, 3, 0, 3, 1, 3, 0, 2, 2, 2, 2, 3, 2, 4, 1, 3, 3, 2, 1, 1, 0, 4, 1, 4, 0, 1, 0, 0, 1, 2, 4, 3, 3, 1, 3, 0, 2, 1, 2, 2, 3, 3, 2, 2, 1, 1, 0, 2, 3, 3, 3, 1, 4, 3, 3, 3, 0, 2, 1, 2, 0, 1, 3, 2, 2, 1, 0, 4, 0, 3, 4, 4, 4, 0, 3, 3, 3, 1, 1, 3, 1, 4, 0, 4, 1, 1, 4, 3, 1, 0, 3, 0, 3, 2, 1, 3, 0, 3, 1, 3, 3, 1, 0, 1, 1, 0, 0, 2, 3, 1, 1, 4, 4, 2, 0, 0, 2, 1, 1, 4, 1, 0, 2, 0, 0, 0, 4, 1, 1, 4, 4, 2, 2, 4, 0, 0, 3, 3, 0, 2, 0, 2, 2, 0, 3, 0, 1, 4, 4, 0, 3, 2, 1, 4, 4, 3, 3, 4, 0, 0, 2, 3, 1, 3, 3, 2, 4, 4, 1, 4, 0, 0, 4, 0, 1, 2, 4, 0, 3, 4, 3, 0, 2, 3, 0, 4, 1, 2, 2, 4, 2, 4, 3, 0, 0, 1, 4, 4, 2, 2, 0, 0, 1, 3, 2, 0, 2, 0, 3, 1, 3, 0, 3, 2, 0, 1, 2, 1, 4, 2, 0, 1, 3, 4, 4, 1, 2, 3, 2, 0, 3, 4, 2, 1, 0, 3, 2, 3, 0, 2, 4, 1, 4, 0, 2, 1, 1, 2, 2, 1, 3, 3, 1, 3, 3, 2, 3, 1, 0, 1, 1, 3, 2, 0, 4, 3, 1, 1, 1, 3, 1, 3, 1, 3, 2, 0, 3, 3, 3, 0, 0, 0, 2, 0, 3, 0, 0, 4, 2, 1, 0, 4, 3, 2, 2, 4, 1, 2, 2, 4, 1, 3, 2, 2, 3, 2, 1, 4, 0, 0, 2, 3, 4, 1, 4, 3, 1, 2, 1, 4, 0, 0, 2, 0, 1, 3, 4, 3, 3, 1, 0, 1, 4, 2, 3, 3, 3, 1, 3, 3, 0, 2, 1, 4, 0, 3, 0, 4, 0, 0, 4, 1, 1, 2, 2, 1, 4, 0, 2, 4, 1, 0, 3, 0, 0, 1, 1, 1, 4, 1, 4, 3, 0, 3, 2, 1, 2, 4, 1, 4, 2, 4, 1, 2, 4, 3, 1, 0, 2, 3, 0, 2, 2, 1, 4, 4, 2, 1, 0] pubkeycol887 = [1, 3, 3, 0, 1, 0, 4, 1, 4, 2, 0, 1, 2, 4, 1, 1, 2, 3, 2, 3, 1, 4, 3, 1, 4, 0, 4, 0, 3, 3, 1, 0, 2, 4, 3, 2, 3, 4, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 3, 1, 2, 2, 1, 2, 3, 0, 1, 3, 3, 4, 3, 1, 4, 0, 1, 0, 4, 3, 2, 4, 4, 2, 0, 1, 3, 4, 2, 1, 0, 3, 1, 2, 1, 3, 2, 3, 2, 2, 4, 3, 1, 4, 3, 2, 2, 3, 2, 0, 2, 1, 3, 1, 0, 1, 2, 3, 2, 3, 4, 4, 4, 3, 4, 1, 4, 4, 2, 3, 4, 4, 4, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 3, 1, 2, 2, 1, 0, 4, 4, 2, 3, 4, 3, 3, 0, 2, 4, 1, 2, 0, 1, 0, 2, 2, 1, 1, 3, 3, 4, 2, 0, 4, 0, 4, 2, 2, 2, 2, 4, 2, 4, 0, 3, 0, 1, 4, 3, 2, 1, 4, 4, 0, 3, 2, 1, 0, 4, 1, 0, 4, 0, 0, 4, 0, 0, 1, 1, 0, 0, 2, 0, 2, 4, 1, 4, 2, 1, 2, 4, 1, 1, 3, 1, 1, 2, 1, 2, 3, 4, 0, 1, 0, 3, 0, 1, 3, 4, 2, 4, 4, 3, 1, 3, 1, 2, 4, 3, 4, 2, 3, 0, 2, 0, 0, 2, 0, 1, 0, 2, 3, 2, 1, 3, 0, 1, 1, 4, 3, 0, 3, 4, 3, 2, 0, 1, 2, 4, 0, 2, 0, 4, 2, 2, 3, 3, 4, 4, 0, 1, 3, 4, 4, 3, 0, 0, 1, 0, 2, 3, 4, 2, 2, 4, 1, 0, 3, 2, 3, 4, 0, 0, 1, 2, 2, 1, 0, 3, 4, 0, 4, 0, 0, 4, 0, 4, 2, 1, 1, 4, 1, 4, 1, 0, 1, 3, 4, 2, 0, 2, 0, 2, 1, 1, 2, 3, 0, 0, 4, 4, 4, 1, 0, 3, 1, 3, 3, 1, 0, 3, 3, 3, 1, 4, 4, 2, 4, 2, 4, 1, 2, 4, 2, 1, 3, 2, 4, 4, 1, 4, 4, 3, 4, 2, 3, 3, 3, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 3, 2, 0, 0, 2, 0] pubkeycol888 = [0, 2, 2, 1, 4, 1, 3, 3, 2, 2, 3, 3, 4, 2, 4, 0, 1, 3, 0, 3, 0, 4, 3, 1, 0, 0, 0, 0, 1, 3, 3, 1, 4, 1, 3, 4, 2, 0, 2, 3, 4, 3, 3, 2, 2, 0, 1, 2, 2, 4, 0, 4, 2, 1, 0, 2, 4, 4, 4, 4, 1, 0, 1, 4, 0, 4, 1, 3, 4, 4, 0, 4, 2, 2, 4, 0, 4, 3, 3, 1, 4, 3, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 4, 0, 1, 2, 1, 0, 1, 0, 3, 1, 1, 4, 4, 4, 3, 1, 2, 1, 1, 1, 0, 0, 4, 4, 0, 2, 3, 3, 0, 2, 0, 2, 2, 4, 1, 3, 2, 2, 1, 1, 3, 4, 3, 3, 2, 3, 2, 3, 3, 3, 0, 4, 4, 1, 1, 1, 4, 0, 2, 1, 1, 0, 3, 1, 1, 4, 3, 0, 1, 4, 4, 1, 1, 2, 0, 3, 4, 0, 1, 4, 2, 3, 3, 4, 1, 1, 1, 0, 3, 3, 1, 3, 4, 2, 0, 4, 2, 2, 1, 2, 2, 3, 4, 0, 3, 4, 3, 1, 1, 0, 0, 4, 2, 3, 3, 1, 2, 4, 2, 1, 3, 2, 0, 2, 0, 3, 1, 4, 0, 0, 2, 1, 2, 0, 4, 4, 0, 2, 4, 1, 1, 1, 4, 1, 2, 0, 3, 2, 2, 2, 3, 1, 1, 0, 0, 3, 2, 3, 1, 1, 1, 2, 3, 0, 1, 3, 3, 1, 4, 2, 2, 0, 4, 1, 0, 1, 3, 0, 1, 2, 1, 2, 3, 3, 0, 2, 4, 1, 2, 4, 1, 2, 2, 4, 3, 0, 2, 1, 1, 4, 4, 1, 3, 4, 2, 3, 2, 2, 4, 1, 0, 4, 1, 3, 1, 4, 2, 4, 1, 1, 2, 4, 0, 1, 4, 0, 4, 2, 1, 0, 1, 4, 1, 1, 3, 1, 1, 4, 4, 2, 3, 0, 4, 2, 0, 0, 1, 3, 2, 2, 0, 1, 2, 0, 0, 3, 3, 4, 2, 4, 3, 4, 4, 3, 0, 0, 4, 3, 4, 2, 2, 2, 2, 4, 2, 2, 1, 3, 1, 2, 0, 0, 2, 3, 2, 3, 4, 4, 0, 4, 2, 0, 2, 4, 2, 3, 3, 3, 3, 3, 2, 2, 4, 2, 1, 0, 3, 0] pubkeycol889 = [4, 1, 1, 0, 0, 0, 2, 4, 1, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 1, 0, 0, 0, 1, 3, 1, 3, 3, 2, 1, 2, 2, 3, 0, 3, 3, 0, 1, 0, 2, 2, 1, 1, 2, 2, 3, 4, 4, 0, 1, 0, 1, 1, 0, 2, 3, 2, 4, 1, 0, 2, 0, 1, 4, 3, 4, 4, 0, 3, 1, 3, 4, 4, 1, 0, 0, 4, 1, 0, 4, 0, 0, 4, 4, 3, 3, 3, 0, 1, 4, 2, 3, 2, 3, 0, 2, 0, 1, 3, 4, 4, 4, 0, 0, 0, 1, 3, 2, 2, 1, 0, 1, 0, 0, 4, 1, 0, 3, 2, 3, 2, 0, 1, 1, 1, 4, 2, 0, 3, 0, 3, 0, 4, 4, 1, 4, 3, 2, 2, 3, 4, 3, 0, 2, 1, 4, 0, 3, 4, 1, 0, 2, 2, 3, 2, 4, 4, 2, 3, 1, 3, 4, 0, 1, 2, 3, 4, 0, 4, 2, 4, 0, 1, 0, 1, 2, 3, 4, 2, 1, 0, 2, 0, 2, 2, 3, 2, 3, 1, 2, 0, 2, 4, 0, 0, 4, 3, 3, 1, 2, 1, 3, 1, 3, 0, 3, 0, 1, 4, 4, 0, 4, 0, 2, 0, 3, 2, 0, 1, 1, 1, 2, 0, 4, 2, 3, 4, 3, 3, 2, 3, 0, 3, 4, 4, 1, 0, 2, 2, 4, 3, 3, 4, 3, 2, 0, 1, 4, 4, 2, 4, 2, 4, 0, 4, 4, 1, 3, 1, 3, 4, 1, 4, 1, 3, 1, 2, 4, 3, 2, 0, 1, 2, 1, 4, 1, 2, 3, 2, 3, 4, 2, 3, 1, 0, 3, 0, 3, 3, 3, 3, 3, 4, 1, 2, 3, 4, 0, 1, 1, 1, 0, 3, 3, 2, 4, 2, 2, 0, 3, 2, 2, 3, 4, 2, 1, 1, 4, 1, 1, 0, 1, 3, 1, 4, 1, 3, 3, 0, 1, 0, 2, 1, 3, 0, 1, 4, 4, 2, 2, 2, 0, 4, 4, 1, 2, 0, 3, 1, 2, 2, 4, 2, 1, 2, 2, 0, 2, 0, 3, 2, 3, 4, 2, 1, 4, 0, 3, 1, 2, 0, 2, 4, 0, 1, 3, 2, 2, 1, 2, 1, 2, 4, 1, 4, 1, 4, 0, 0, 2, 3, 2, 1, 4, 3, 4, 0, 1, 3, 4] pubkeycol890 = [4, 1, 2, 2, 3, 1, 4, 2, 4, 4, 0, 1, 1, 0, 4, 0, 2, 4, 4, 2, 4, 2, 1, 1, 4, 2, 3, 4, 0, 1, 1, 1, 4, 1, 0, 2, 3, 2, 0, 2, 3, 1, 0, 0, 1, 3, 0, 2, 2, 1, 0, 1, 1, 4, 0, 0, 0, 0, 1, 2, 3, 4, 0, 4, 1, 4, 3, 0, 4, 1, 0, 4, 2, 1, 1, 1, 3, 3, 1, 3, 4, 3, 4, 2, 3, 2, 1, 3, 4, 2, 0, 2, 3, 2, 1, 2, 3, 4, 1, 0, 2, 2, 1, 2, 1, 2, 3, 1, 2, 4, 3, 0, 4, 0, 4, 4, 2, 0, 1, 4, 0, 2, 4, 3, 1, 2, 0, 3, 3, 4, 4, 1, 0, 3, 4, 4, 1, 0, 3, 0, 3, 3, 3, 4, 0, 4, 0, 2, 3, 4, 3, 4, 3, 3, 0, 0, 2, 0, 1, 2, 2, 2, 4, 2, 2, 1, 0, 4, 1, 2, 4, 2, 2, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 1, 4, 3, 4, 0, 2, 0, 4, 0, 1, 3, 2, 2, 1, 1, 3, 0, 3, 1, 0, 4, 1, 3, 3, 1, 4, 1, 4, 1, 3, 1, 1, 4, 3, 4, 3, 4, 1, 1, 4, 2, 4, 1, 4, 2, 0, 3, 3, 4, 2, 2, 1, 3, 3, 4, 1, 2, 2, 1, 2, 3, 3, 3, 4, 2, 3, 3, 3, 4, 1, 2, 2, 2, 2, 1, 4, 2, 3, 2, 1, 4, 2, 1, 4, 3, 0, 0, 3, 3, 4, 2, 4, 1, 1, 4, 2, 3, 0, 4, 0, 0, 1, 3, 3, 1, 2, 4, 0, 2, 4, 4, 4, 4, 3, 1, 3, 4, 4, 2, 0, 0, 3, 0, 4, 4, 4, 4, 3, 2, 3, 0, 1, 1, 1, 1, 1, 0, 4, 0, 1, 0, 1, 2, 4, 2, 2, 4, 3, 4, 4, 0, 2, 3, 4, 3, 1, 1, 2, 0, 0, 1, 4, 0, 3, 4, 2, 3, 3, 1, 2, 2, 4, 4, 4, 2, 2, 3, 3, 1, 4, 1, 0, 0, 4, 2, 0, 4, 4, 2, 4, 1, 3, 0, 2, 4, 1, 4, 1, 2, 3, 3, 1, 1, 3, 1, 0, 2, 2, 3, 4, 2, 4, 1, 4, 0, 3, 4] pubkeycol891 = [1, 4, 3, 3, 4, 3, 2, 0, 3, 4, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 3, 4, 3, 1, 2, 2, 2, 2, 4, 3, 4, 2, 4, 1, 2, 3, 4, 4, 4, 0, 4, 3, 2, 1, 1, 1, 0, 0, 2, 4, 3, 2, 1, 4, 2, 2, 2, 1, 0, 3, 1, 1, 4, 1, 1, 1, 4, 3, 1, 3, 0, 0, 2, 4, 3, 3, 3, 2, 0, 0, 3, 0, 1, 3, 4, 1, 2, 3, 3, 2, 0, 2, 1, 1, 0, 4, 3, 1, 1, 3, 4, 2, 2, 3, 3, 4, 0, 3, 0, 2, 0, 1, 2, 2, 2, 1, 3, 4, 3, 1, 1, 0, 1, 4, 4, 1, 4, 3, 2, 1, 4, 2, 2, 2, 3, 0, 0, 2, 4, 3, 0, 0, 4, 2, 1, 2, 2, 3, 4, 1, 2, 3, 2, 1, 2, 1, 1, 3, 0, 3, 1, 1, 3, 0, 2, 1, 2, 4, 0, 0, 3, 2, 3, 0, 1, 3, 1, 1, 0, 1, 0, 2, 2, 2, 4, 3, 0, 4, 3, 2, 4, 4, 0, 4, 4, 1, 2, 0, 3, 3, 4, 3, 2, 0, 0, 0, 4, 3, 0, 4, 1, 4, 3, 1, 4, 1, 0, 0, 4, 4, 3, 3, 0, 3, 4, 2, 0, 3, 1, 3, 2, 0, 3, 4, 1, 4, 3, 3, 0, 1, 1, 1, 1, 4, 0, 4, 2, 0, 4, 1, 2, 3, 2, 1, 4, 4, 2, 2, 1, 0, 4, 1, 3, 3, 1, 3, 0, 0, 2, 2, 4, 3, 1, 0, 2, 4, 4, 2, 4, 2, 1, 2, 1, 3, 3, 3, 2, 0, 4, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 3, 1, 0, 3, 2, 4, 4, 4, 3, 3, 3, 3, 3, 1, 0, 1, 3, 2, 4, 3, 0, 4, 2, 4, 0, 3, 1, 3, 4, 0, 3, 3, 1, 2, 0, 0, 4, 0, 0, 2, 1, 2, 3, 0, 1, 2, 1, 0, 0, 2, 4, 1, 4, 3, 4, 0, 3, 3, 4, 3, 4, 3, 1, 3, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 3, 2, 4, 4, 2, 3, 4, 3, 2, 3, 0, 2, 2, 0, 2] pubkeycol892 = [3, 2, 1, 1, 0, 0, 4, 3, 4, 2, 4, 0, 4, 2, 3, 4, 3, 1, 1, 3, 2, 3, 0, 0, 1, 3, 1, 3, 1, 3, 3, 0, 3, 3, 1, 1, 1, 3, 0, 3, 0, 1, 4, 0, 2, 4, 2, 4, 4, 4, 3, 1, 0, 3, 3, 2, 4, 0, 4, 0, 2, 2, 4, 3, 0, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 0, 2, 2, 4, 2, 0, 1, 3, 0, 0, 3, 4, 1, 3, 4, 0, 2, 1, 0, 3, 0, 1, 2, 1, 3, 4, 0, 2, 4, 3, 0, 0, 0, 4, 1, 4, 0, 2, 4, 3, 0, 0, 2, 4, 3, 0, 0, 0, 1, 3, 2, 2, 1, 0, 2, 3, 3, 3, 2, 3, 1, 2, 2, 4, 3, 0, 1, 2, 4, 0, 0, 0, 3, 3, 4, 0, 0, 3, 1, 2, 2, 1, 3, 2, 1, 0, 2, 2, 1, 0, 2, 4, 0, 4, 0, 1, 2, 4, 3, 0, 3, 4, 0, 1, 4, 2, 4, 2, 0, 4, 3, 3, 4, 2, 4, 1, 1, 1, 4, 0, 0, 2, 2, 1, 2, 3, 4, 2, 0, 1, 2, 1, 4, 3, 3, 1, 1, 3, 0, 1, 4, 1, 2, 4, 0, 1, 2, 0, 4, 1, 1, 0, 1, 2, 0, 1, 2, 3, 0, 3, 3, 1, 1, 3, 3, 1, 0, 4, 2, 0, 1, 2, 3, 1, 1, 2, 2, 4, 0, 2, 3, 2, 1, 2, 2, 4, 2, 3, 3, 4, 2, 1, 2, 0, 2, 0, 2, 2, 3, 4, 1, 2, 1, 4, 2, 1, 2, 1, 0, 2, 0, 2, 4, 0, 4, 4, 4, 1, 3, 3, 3, 3, 4, 4, 2, 0, 2, 1, 1, 4, 1, 3, 4, 2, 1, 3, 1, 2, 1, 0, 2, 1, 4, 1, 4, 4, 1, 3, 0, 0, 4, 1, 1, 3, 0, 3, 2, 3, 2, 3, 0, 1, 3, 3, 4, 4, 3, 0, 3, 4, 1, 0, 3, 3, 4, 2, 2, 4, 2, 4, 2, 1, 3, 0, 3, 0, 1, 3, 3, 3, 2, 0, 0, 1, 1, 1, 4, 3, 2, 0, 4, 0, 3, 0, 1, 4, 3, 2, 2, 2, 2, 3, 4, 0, 0, 4, 0, 4, 3, 1, 0, 4, 3, 1, 0] pubkeycol893 = [1, 2, 4, 1, 0, 4, 4, 1, 1, 4, 1, 1, 0, 1, 0, 0, 2, 2, 3, 1, 3, 0, 2, 0, 3, 2, 3, 1, 0, 1, 3, 4, 4, 1, 2, 1, 1, 3, 4, 4, 1, 3, 1, 4, 0, 0, 0, 3, 3, 3, 2, 0, 4, 0, 3, 2, 0, 4, 4, 2, 1, 0, 4, 0, 1, 2, 3, 1, 1, 0, 0, 4, 2, 3, 2, 2, 3, 4, 4, 0, 2, 4, 2, 2, 2, 0, 4, 3, 1, 2, 1, 4, 4, 2, 1, 0, 4, 0, 1, 3, 1, 2, 3, 2, 3, 3, 1, 2, 2, 3, 1, 2, 4, 4, 4, 1, 0, 0, 0, 2, 0, 2, 4, 3, 0, 2, 2, 3, 4, 4, 4, 3, 4, 1, 3, 0, 4, 4, 4, 4, 4, 4, 2, 4, 0, 1, 1, 0, 0, 0, 3, 3, 1, 1, 1, 4, 1, 1, 0, 0, 0, 1, 3, 2, 1, 3, 2, 3, 0, 2, 4, 3, 4, 3, 4, 2, 4, 2, 0, 4, 0, 4, 1, 1, 3, 3, 1, 0, 3, 0, 3, 4, 1, 0, 3, 4, 2, 4, 0, 0, 3, 3, 2, 3, 4, 0, 1, 0, 2, 3, 2, 3, 1, 4, 1, 1, 3, 0, 0, 1, 1, 2, 0, 2, 3, 2, 2, 3, 4, 3, 3, 1, 3, 4, 3, 0, 0, 0, 1, 3, 2, 4, 3, 0, 1, 4, 1, 3, 3, 0, 4, 1, 0, 0, 0, 2, 2, 3, 3, 0, 0, 4, 1, 4, 0, 4, 3, 0, 1, 4, 2, 4, 3, 3, 4, 3, 4, 2, 0, 4, 1, 2, 4, 0, 3, 2, 1, 3, 4, 2, 4, 3, 2, 2, 1, 3, 3, 1, 4, 2, 2, 2, 0, 0, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 4, 1, 4, 0, 0, 2, 1, 2, 3, 0, 3, 1, 2, 3, 0, 0, 0, 0, 3, 4, 1, 0, 1, 0, 1, 3, 4, 3, 2, 0, 3, 1, 3, 2, 0, 3, 1, 2, 1, 4, 4, 1, 0, 1, 0, 2, 1, 3, 0, 0, 4, 2, 0, 0, 1, 3, 1, 1, 2, 3, 0, 2, 1, 0, 1, 0, 3, 0, 3, 1, 0, 0, 1, 0, 4, 4, 4, 3, 0, 4, 3, 4, 3, 1] pubkeycol894 = [1, 1, 0, 3, 3, 3, 1, 4, 4, 3, 2, 0, 4, 3, 0, 4, 4, 0, 3, 4, 1, 2, 2, 3, 1, 2, 2, 4, 4, 4, 3, 3, 1, 4, 2, 0, 2, 2, 0, 0, 4, 1, 2, 1, 0, 0, 2, 0, 4, 2, 0, 0, 4, 4, 1, 2, 4, 4, 2, 1, 4, 2, 3, 2, 1, 4, 1, 1, 1, 2, 1, 4, 4, 4, 2, 1, 1, 3, 3, 1, 0, 1, 0, 1, 3, 4, 4, 1, 2, 3, 0, 4, 3, 4, 1, 3, 0, 2, 4, 1, 1, 0, 3, 2, 0, 1, 0, 1, 1, 1, 3, 3, 3, 1, 3, 2, 3, 4, 2, 3, 2, 1, 1, 3, 1, 1, 1, 0, 1, 4, 3, 1, 3, 4, 3, 1, 0, 2, 2, 1, 1, 4, 1, 0, 0, 0, 1, 1, 2, 1, 2, 4, 1, 2, 1, 3, 1, 0, 4, 3, 3, 0, 4, 4, 1, 4, 3, 1, 4, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 4, 1, 4, 1, 2, 1, 4, 2, 1, 0, 1, 1, 1, 1, 3, 0, 1, 4, 1, 4, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 0, 3, 4, 0, 2, 1, 4, 0, 0, 1, 2, 2, 3, 4, 3, 0, 2, 2, 1, 1, 4, 2, 3, 1, 2, 3, 1, 2, 1, 1, 3, 1, 2, 2, 3, 0, 1, 4, 0, 3, 2, 0, 3, 4, 2, 1, 2, 4, 0, 2, 1, 0, 4, 3, 4, 4, 0, 1, 1, 0, 0, 2, 0, 0, 3, 2, 4, 4, 2, 4, 3, 3, 0, 3, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 3, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 3, 0, 3, 4, 1, 1, 0, 1, 1, 2, 1, 0, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 1, 0, 1, 3, 3, 4, 1, 3, 1, 4, 0, 0, 1, 0, 4, 3, 3, 3, 1, 0, 1, 4, 0, 1, 2, 1, 2, 3, 0, 0, 2, 3, 4, 3, 2, 4, 1, 0, 3, 1, 3, 4, 4, 2, 3, 3, 4, 2, 4, 4, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 0, 4, 3, 0] pubkeycol895 = [1, 4, 2, 1, 1, 1, 1, 4, 2, 0, 3, 0, 0, 4, 1, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 0, 4, 1, 1, 2, 0, 4, 3, 3, 1, 4, 2, 0, 1, 3, 3, 1, 4, 4, 0, 0, 3, 0, 2, 3, 4, 0, 4, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 0, 2, 3, 3, 1, 1, 1, 3, 0, 1, 0, 2, 3, 0, 2, 4, 2, 3, 2, 3, 3, 0, 4, 3, 0, 4, 1, 3, 0, 3, 3, 1, 4, 2, 3, 2, 0, 3, 3, 3, 3, 0, 3, 0, 2, 4, 4, 1, 1, 3, 0, 1, 1, 1, 3, 2, 3, 2, 0, 3, 2, 4, 0, 1, 1, 1, 4, 0, 1, 1, 0, 4, 3, 4, 0, 2, 3, 4, 0, 4, 4, 0, 1, 4, 3, 1, 2, 2, 3, 0, 2, 4, 3, 2, 3, 0, 0, 3, 1, 3, 0, 1, 4, 4, 1, 4, 3, 3, 1, 3, 0, 4, 2, 2, 2, 1, 3, 2, 2, 2, 4, 0, 1, 4, 1, 1, 4, 0, 3, 2, 0, 2, 3, 1, 1, 0, 2, 1, 3, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 3, 3, 1, 0, 1, 0, 2, 1, 0, 3, 3, 2, 1, 3, 2, 4, 1, 2, 4, 4, 0, 4, 0, 2, 4, 0, 0, 1, 4, 0, 1, 2, 4, 2, 2, 3, 3, 1, 0, 2, 1, 0, 1, 0, 3, 2, 1, 0, 3, 3, 2, 2, 3, 1, 0, 0, 2, 1, 0, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 1, 1, 2, 3, 4, 1, 4, 3, 4, 4, 4, 3, 2, 0, 3, 3, 1, 0, 2, 0, 4, 0, 0, 0, 3, 3, 4, 3, 0, 2, 1, 3, 3, 3, 1, 2, 1, 2, 2, 2, 2, 4, 1, 3, 0, 2, 4, 1, 4, 1, 0, 3, 4, 4, 0, 1, 4, 0, 0, 3, 2, 4, 0, 2, 0, 0, 0, 3, 1, 4, 1, 2, 3, 3, 4, 0, 2, 1, 0, 4, 4, 1, 1, 2, 2, 0, 4, 2, 4, 4, 2, 2, 4, 1, 3, 3, 1, 1, 0, 4, 2, 4, 0, 3, 3, 2, 0, 0, 0, 2, 0, 4, 4, 1, 3, 4, 1, 1, 2] pubkeycol896 = [4, 2, 0, 3, 2, 1, 4, 0, 4, 4, 0, 1, 0, 0, 4, 1, 4, 2, 1, 0, 1, 1, 2, 2, 4, 2, 2, 3, 4, 1, 4, 4, 2, 1, 1, 4, 3, 0, 4, 4, 1, 1, 3, 0, 3, 2, 3, 1, 3, 1, 4, 1, 1, 2, 4, 1, 0, 2, 1, 2, 2, 2, 3, 4, 0, 1, 4, 2, 3, 2, 3, 1, 1, 3, 4, 1, 1, 3, 3, 3, 0, 0, 3, 2, 1, 0, 4, 1, 0, 3, 1, 1, 0, 2, 2, 0, 1, 0, 3, 4, 3, 1, 4, 4, 1, 2, 3, 0, 1, 3, 1, 4, 3, 4, 2, 2, 2, 4, 3, 2, 2, 1, 4, 3, 4, 3, 2, 1, 3, 0, 2, 0, 0, 4, 4, 2, 0, 2, 3, 2, 3, 2, 4, 2, 2, 2, 3, 1, 3, 0, 1, 4, 2, 0, 4, 0, 2, 3, 4, 4, 3, 1, 2, 2, 1, 3, 3, 1, 2, 2, 0, 0, 4, 4, 0, 1, 4, 1, 1, 0, 1, 2, 3, 1, 3, 3, 0, 2, 0, 0, 4, 3, 2, 3, 3, 2, 0, 4, 4, 3, 2, 4, 2, 3, 4, 2, 2, 1, 0, 4, 0, 1, 4, 4, 4, 4, 0, 2, 4, 1, 3, 2, 1, 1, 3, 0, 2, 4, 3, 2, 3, 3, 0, 2, 3, 1, 3, 4, 3, 1, 3, 1, 0, 4, 2, 0, 0, 3, 1, 3, 3, 2, 2, 1, 0, 1, 1, 3, 3, 0, 4, 4, 0, 1, 3, 2, 1, 3, 3, 2, 0, 3, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 4, 1, 0, 3, 1, 1, 1, 3, 3, 3, 0, 3, 3, 4, 1, 3, 3, 1, 3, 3, 4, 3, 2, 3, 2, 4, 3, 2, 1, 4, 1, 4, 3, 2, 3, 2, 4, 3, 4, 0, 1, 1, 0, 0, 2, 4, 3, 0, 3, 2, 0, 0, 3, 3, 3, 1, 1, 4, 0, 0, 3, 2, 0, 3, 4, 4, 3, 4, 2, 0, 4, 4, 3, 0, 0, 0, 0, 1, 3, 4, 4, 3, 0, 1, 1, 2, 0, 4, 2, 1, 0, 3, 2, 1, 0, 3, 3, 1, 2, 3, 3, 3, 4, 0, 3, 1, 0, 4, 4, 2, 1, 1, 2, 0, 4, 2, 0, 1] pubkeycol897 = [4, 4, 4, 2, 4, 4, 2, 2, 4, 1, 1, 4, 1, 3, 2, 2, 0, 4, 2, 4, 2, 1, 0, 3, 2, 0, 3, 2, 0, 3, 4, 1, 2, 2, 3, 0, 0, 2, 3, 3, 1, 1, 4, 3, 0, 0, 3, 2, 3, 3, 3, 3, 4, 3, 1, 0, 2, 4, 4, 4, 4, 1, 0, 1, 4, 2, 3, 0, 0, 1, 1, 0, 4, 0, 0, 3, 1, 3, 2, 2, 2, 1, 0, 1, 4, 0, 4, 3, 3, 2, 3, 2, 3, 1, 2, 0, 2, 2, 0, 3, 2, 0, 2, 2, 0, 0, 1, 4, 3, 2, 3, 3, 2, 1, 3, 4, 1, 4, 2, 1, 3, 1, 4, 3, 4, 2, 4, 3, 2, 0, 2, 0, 4, 3, 1, 1, 1, 2, 4, 3, 2, 4, 3, 3, 4, 0, 4, 0, 0, 2, 4, 3, 4, 2, 3, 2, 4, 1, 3, 3, 1, 3, 4, 4, 4, 4, 2, 2, 3, 0, 2, 3, 4, 2, 0, 1, 3, 3, 4, 3, 2, 4, 3, 2, 1, 3, 4, 3, 4, 3, 2, 0, 0, 0, 0, 4, 4, 1, 2, 4, 2, 2, 4, 2, 4, 4, 3, 1, 1, 3, 4, 2, 3, 0, 3, 1, 4, 3, 3, 2, 2, 4, 1, 4, 0, 4, 4, 3, 3, 4, 1, 2, 0, 1, 3, 3, 0, 3, 2, 0, 2, 0, 3, 0, 4, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 4, 1, 0, 2, 2, 3, 1, 2, 1, 1, 0, 0, 4, 3, 4, 4, 2, 3, 0, 2, 0, 1, 1, 1, 4, 4, 3, 4, 0, 4, 3, 0, 1, 2, 4, 1, 1, 1, 1, 1, 2, 1, 4, 2, 3, 2, 4, 1, 1, 1, 0, 2, 4, 4, 0, 0, 0, 2, 1, 0, 2, 4, 4, 2, 0, 4, 2, 0, 3, 1, 3, 3, 1, 3, 1, 3, 4, 4, 3, 2, 1, 3, 4, 3, 2, 3, 2, 1, 2, 4, 4, 3, 0, 3, 2, 4, 0, 2, 4, 1, 4, 3, 1, 4, 0, 3, 3, 4, 2, 3, 4, 4, 4, 1, 1, 4, 1, 1, 4, 1, 2, 1, 0, 3, 0, 0, 1, 3, 4, 0, 0, 3, 1, 1, 4, 3, 1, 2, 2, 4, 3, 0, 0, 2, 0] pubkeycol898 = [3, 3, 2, 4, 0, 4, 1, 0, 0, 1, 3, 4, 0, 2, 1, 4, 4, 4, 1, 2, 0, 0, 1, 4, 1, 4, 0, 4, 4, 3, 3, 3, 2, 4, 2, 4, 0, 3, 1, 0, 3, 2, 2, 2, 2, 3, 3, 2, 1, 3, 1, 1, 0, 1, 3, 3, 1, 2, 3, 4, 4, 3, 0, 2, 4, 4, 3, 2, 1, 4, 0, 1, 4, 0, 1, 2, 0, 1, 4, 3, 4, 4, 2, 1, 3, 3, 0, 2, 2, 2, 4, 0, 2, 1, 3, 0, 3, 0, 4, 4, 4, 0, 2, 3, 1, 3, 4, 2, 4, 0, 2, 2, 1, 0, 2, 2, 0, 2, 3, 2, 2, 1, 2, 2, 2, 1, 4, 0, 4, 1, 3, 4, 0, 2, 2, 1, 0, 4, 0, 1, 3, 2, 0, 0, 4, 1, 2, 0, 4, 4, 1, 0, 1, 1, 3, 3, 2, 2, 1, 0, 4, 1, 3, 1, 4, 2, 2, 3, 0, 0, 3, 4, 2, 1, 1, 1, 1, 1, 4, 3, 1, 0, 4, 1, 4, 3, 1, 4, 3, 1, 1, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 3, 2, 4, 1, 4, 3, 2, 4, 2, 0, 4, 0, 2, 4, 0, 4, 0, 1, 4, 1, 0, 0, 0, 4, 3, 4, 4, 4, 3, 3, 1, 3, 1, 4, 3, 3, 0, 1, 0, 1, 1, 2, 1, 2, 0, 4, 4, 1, 0, 3, 3, 3, 4, 3, 3, 3, 4, 2, 3, 2, 1, 1, 0, 4, 1, 4, 0, 4, 1, 3, 2, 1, 3, 4, 1, 1, 1, 0, 3, 3, 1, 3, 0, 4, 1, 3, 2, 2, 2, 4, 3, 3, 3, 1, 2, 0, 4, 1, 2, 4, 1, 4, 0, 0, 4, 3, 0, 2, 1, 3, 3, 0, 1, 1, 3, 4, 4, 2, 4, 1, 3, 0, 4, 2, 1, 0, 2, 3, 1, 0, 1, 1, 1, 2, 1, 0, 2, 4, 1, 3, 1, 3, 1, 2, 3, 2, 4, 1, 3, 4, 2, 3, 4, 3, 0, 4, 0, 1, 3, 2, 3, 1, 0, 4, 3, 1, 2, 3, 4, 2, 4, 2, 3, 4, 1, 1, 4, 0, 3, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 3, 2, 4, 0, 1] pubkeycol899 = [1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 3, 4, 0, 2, 1, 0, 2, 4, 1, 2, 4, 4, 2, 2, 0, 3, 4, 2, 1, 1, 1, 1, 0, 2, 1, 1, 4, 0, 2, 3, 3, 3, 1, 0, 1, 1, 0, 0, 0, 3, 0, 1, 2, 1, 3, 4, 0, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 3, 2, 2, 4, 4, 4, 2, 2, 3, 1, 1, 4, 3, 2, 2, 0, 3, 0, 2, 4, 2, 0, 4, 1, 0, 1, 1, 4, 3, 2, 1, 3, 1, 2, 2, 3, 1, 1, 3, 1, 1, 2, 4, 4, 2, 2, 3, 2, 3, 2, 1, 1, 4, 4, 0, 0, 3, 4, 2, 3, 4, 0, 3, 4, 1, 1, 1, 3, 0, 3, 3, 2, 1, 4, 0, 0, 0, 0, 4, 0, 1, 0, 4, 2, 1, 3, 4, 2, 0, 4, 0, 2, 0, 2, 4, 2, 1, 1, 0, 1, 4, 2, 0, 3, 3, 3, 3, 3, 4, 3, 0, 0, 2, 2, 1, 1, 1, 2, 2, 4, 4, 1, 4, 4, 1, 4, 4, 4, 2, 4, 3, 2, 1, 3, 2, 0, 1, 2, 2, 4, 0, 1, 2, 4, 3, 1, 4, 0, 3, 3, 2, 1, 0, 3, 1, 0, 1, 3, 2, 4, 4, 1, 2, 2, 4, 2, 4, 2, 0, 3, 1, 0, 0, 4, 0, 0, 2, 3, 1, 1, 1, 2, 0, 1, 3, 3, 3, 2, 1, 4, 2, 1, 3, 1, 1, 2, 1, 1, 1, 0, 0, 4, 4, 4, 4, 4, 2, 4, 3, 1, 1, 0, 4, 0, 0, 3, 1, 0, 3, 2, 1, 0, 3, 4, 3, 0, 1, 2, 1, 2, 2, 4, 2, 2, 0, 0, 0, 1, 3, 0, 4, 3, 4, 0, 1, 2, 2, 3, 1, 1, 3, 3, 3, 1, 2, 3, 4, 4, 2, 2, 0, 1, 0, 3, 0, 2, 3, 4, 0, 1, 4, 1, 3, 1, 4, 4, 0, 0, 4, 1, 0, 1, 4, 4, 3, 0, 0, 1, 4, 2, 2, 0, 4, 4, 1, 1, 4, 1, 0, 3, 3, 3, 3, 4, 2, 4, 4, 3, 3, 1, 2, 4, 0, 4, 4, 1, 1, 2, 3, 3, 4, 3, 4, 2, 3, 0, 4, 1] pubkeycol900 = [2, 1, 2, 4, 0, 2, 2, 4, 2, 3, 2, 2, 0, 1, 1, 0, 3, 1, 4, 4, 0, 3, 2, 4, 2, 1, 0, 4, 4, 4, 1, 4, 0, 3, 0, 3, 3, 1, 4, 3, 4, 3, 2, 0, 3, 1, 1, 2, 0, 4, 1, 1, 1, 3, 4, 2, 1, 4, 0, 1, 2, 2, 4, 0, 1, 3, 1, 0, 2, 1, 2, 4, 3, 4, 0, 3, 2, 0, 2, 2, 0, 4, 3, 3, 3, 2, 0, 0, 1, 2, 2, 4, 1, 4, 2, 1, 3, 1, 4, 0, 4, 0, 1, 4, 2, 2, 0, 0, 0, 0, 0, 4, 4, 4, 2, 4, 0, 3, 4, 1, 0, 4, 4, 1, 2, 0, 0, 2, 1, 0, 3, 2, 0, 4, 4, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 4, 0, 3, 4, 1, 3, 1, 2, 2, 2, 0, 0, 3, 0, 0, 2, 2, 4, 4, 1, 0, 2, 4, 2, 4, 0, 2, 4, 3, 3, 0, 1, 4, 1, 2, 2, 4, 2, 0, 0, 3, 2, 0, 0, 0, 0, 2, 4, 1, 2, 2, 0, 1, 1, 3, 0, 4, 4, 4, 4, 2, 3, 0, 1, 3, 3, 1, 3, 4, 1, 2, 2, 3, 0, 4, 3, 4, 1, 2, 4, 0, 3, 1, 0, 2, 3, 0, 4, 4, 3, 1, 0, 2, 4, 0, 1, 3, 2, 0, 1, 1, 0, 1, 2, 3, 3, 4, 2, 1, 1, 4, 3, 1, 4, 1, 4, 3, 0, 2, 3, 0, 4, 0, 1, 2, 1, 0, 3, 0, 0, 1, 1, 3, 4, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 4, 1, 1, 2, 1, 0, 3, 2, 3, 3, 3, 3, 0, 2, 3, 3, 3, 4, 2, 0, 1, 1, 1, 2, 2, 4, 1, 2, 1, 4, 1, 3, 1, 4, 3, 2, 0, 2, 4, 4, 0, 1, 1, 3, 4, 4, 1, 3, 0, 1, 2, 0, 0, 1, 0, 4, 4, 2, 0, 0, 2, 3, 2, 0, 0, 2, 4, 1, 3, 1, 3, 4, 2, 0, 0, 2, 2, 3, 4, 0, 1, 4, 2, 3, 2, 2, 0, 2, 3, 2, 4, 2, 2, 2, 4, 0, 0, 3, 4, 0, 3, 3, 1, 4] pubkeycol901 = [1, 2, 3, 2, 3, 2, 3, 0, 3, 4, 1, 4, 4, 1, 0, 2, 2, 2, 4, 0, 4, 2, 2, 3, 4, 4, 0, 0, 0, 0, 3, 4, 3, 3, 1, 3, 3, 1, 2, 1, 2, 2, 1, 1, 0, 1, 4, 1, 1, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 0, 4, 2, 3, 1, 2, 0, 1, 3, 2, 4, 1, 4, 4, 0, 0, 1, 1, 1, 2, 3, 3, 0, 4, 2, 1, 0, 4, 1, 1, 3, 3, 0, 2, 4, 0, 0, 3, 3, 0, 4, 2, 1, 2, 3, 1, 2, 3, 4, 2, 2, 4, 1, 2, 3, 0, 3, 2, 2, 3, 4, 0, 1, 1, 3, 1, 0, 1, 1, 2, 0, 2, 2, 4, 0, 1, 3, 0, 1, 2, 2, 2, 2, 3, 3, 3, 4, 2, 1, 2, 2, 3, 1, 3, 4, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 3, 2, 4, 2, 3, 2, 1, 0, 0, 3, 0, 0, 2, 4, 1, 0, 0, 1, 3, 3, 2, 1, 3, 2, 2, 1, 1, 3, 2, 4, 0, 4, 3, 4, 3, 0, 0, 3, 4, 0, 0, 2, 1, 4, 0, 3, 0, 3, 3, 1, 1, 2, 0, 2, 4, 0, 3, 2, 1, 3, 0, 4, 2, 2, 3, 4, 1, 2, 4, 2, 0, 0, 0, 0, 0, 1, 2, 4, 1, 0, 0, 3, 3, 3, 1, 4, 3, 4, 4, 1, 2, 0, 2, 2, 1, 1, 1, 4, 0, 1, 2, 4, 3, 1, 0, 0, 0, 2, 0, 0, 3, 1, 2, 2, 0, 3, 0, 2, 3, 0, 2, 0, 1, 0, 4, 4, 1, 4, 0, 3, 4, 1, 2, 3, 0, 3, 4, 4, 1, 3, 0, 1, 3, 2, 1, 4, 0, 0, 4, 0, 3, 2, 0, 2, 3, 1, 1, 0, 4, 1, 0, 2, 1, 0, 0, 3, 2, 3, 0, 0, 1, 2, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 4, 1, 2, 0, 0, 3, 1, 0, 4, 4, 2, 1, 1, 0, 1, 3, 2, 1, 3, 2, 2, 4, 2, 3, 3, 2, 4, 1, 0, 1, 1, 0, 4, 4, 1, 1, 2, 2, 3, 1, 4, 4, 2, 1, 3, 1, 1, 4, 2, 1, 4, 2, 3] pubkeycol902 = [4, 3, 0, 2, 3, 0, 1, 2, 2, 3, 3, 1, 0, 4, 2, 1, 3, 0, 2, 2, 1, 1, 0, 4, 0, 2, 3, 0, 0, 2, 1, 3, 0, 0, 1, 2, 4, 1, 4, 2, 0, 1, 0, 4, 4, 1, 1, 3, 4, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 4, 3, 4, 0, 0, 4, 2, 2, 0, 2, 0, 4, 2, 4, 1, 0, 3, 0, 0, 3, 2, 2, 0, 0, 1, 3, 3, 4, 1, 3, 3, 2, 2, 2, 4, 2, 0, 0, 1, 1, 1, 4, 4, 4, 4, 3, 1, 1, 1, 1, 4, 2, 3, 3, 1, 2, 2, 4, 4, 2, 0, 2, 2, 1, 4, 3, 0, 3, 2, 0, 2, 3, 3, 0, 3, 4, 1, 0, 3, 1, 3, 0, 1, 2, 1, 0, 4, 3, 2, 0, 1, 2, 1, 3, 4, 2, 3, 4, 4, 3, 2, 2, 1, 1, 3, 4, 4, 2, 2, 1, 1, 4, 4, 0, 0, 1, 4, 4, 0, 1, 4, 4, 4, 3, 2, 1, 2, 0, 4, 3, 1, 0, 1, 4, 3, 2, 2, 0, 2, 4, 3, 1, 0, 4, 2, 4, 3, 2, 2, 4, 4, 1, 3, 3, 2, 4, 2, 4, 4, 3, 2, 1, 1, 2, 0, 4, 3, 0, 4, 1, 0, 2, 3, 4, 4, 0, 3, 1, 2, 1, 4, 4, 2, 2, 4, 2, 1, 2, 4, 2, 1, 4, 1, 3, 3, 3, 3, 2, 4, 4, 2, 3, 4, 3, 0, 1, 2, 0, 0, 2, 3, 3, 2, 1, 2, 3, 1, 3, 0, 1, 4, 0, 2, 0, 0, 1, 3, 2, 1, 0, 1, 3, 3, 1, 2, 1, 2, 0, 0, 4, 2, 2, 4, 3, 2, 4, 2, 2, 2, 2, 3, 0, 1, 4, 3, 1, 1, 3, 0, 4, 4, 3, 0, 2, 0, 3, 4, 2, 2, 4, 4, 4, 1, 4, 4, 4, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 1, 3, 4, 2, 0, 0, 3, 0, 0, 4, 4, 0, 2, 2, 0, 1, 0, 2, 4, 4, 3, 1, 2, 0, 3, 1, 3, 2, 1, 2, 3, 2, 4, 3, 3, 4, 4, 3, 0, 0, 3, 0, 3, 3, 2, 1, 0, 2, 0, 1] pubkeycol903 = [1, 0, 4, 0, 1, 4, 1, 4, 3, 2, 1, 2, 2, 2, 4, 0, 0, 0, 2, 2, 4, 3, 3, 0, 2, 2, 2, 4, 2, 1, 0, 4, 4, 3, 2, 3, 0, 0, 3, 4, 1, 3, 3, 4, 4, 1, 3, 2, 4, 0, 2, 2, 4, 3, 4, 0, 1, 3, 1, 4, 2, 1, 1, 1, 0, 1, 0, 3, 1, 0, 3, 0, 2, 0, 4, 1, 0, 1, 4, 4, 4, 3, 3, 4, 2, 4, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 3, 3, 3, 4, 4, 2, 2, 4, 1, 2, 1, 1, 2, 4, 1, 1, 2, 0, 4, 2, 3, 4, 3, 1, 3, 4, 2, 3, 3, 4, 4, 4, 4, 0, 0, 0, 3, 0, 1, 1, 0, 0, 2, 1, 0, 4, 3, 3, 3, 4, 4, 0, 1, 0, 3, 1, 2, 0, 2, 4, 3, 3, 0, 0, 2, 1, 4, 4, 4, 2, 0, 3, 1, 1, 2, 3, 0, 1, 3, 3, 0, 4, 4, 1, 4, 4, 3, 3, 3, 1, 2, 4, 2, 2, 4, 3, 0, 3, 0, 3, 4, 3, 4, 1, 1, 1, 3, 3, 2, 4, 4, 1, 4, 0, 2, 3, 4, 4, 2, 3, 2, 1, 4, 4, 1, 4, 2, 0, 3, 0, 1, 0, 2, 0, 4, 4, 0, 2, 1, 1, 3, 3, 0, 1, 4, 3, 2, 1, 1, 3, 3, 1, 1, 4, 2, 0, 0, 2, 0, 2, 0, 3, 0, 1, 4, 0, 2, 0, 0, 0, 2, 4, 4, 0, 1, 2, 1, 3, 4, 0, 4, 1, 4, 0, 1, 1, 2, 3, 2, 2, 0, 0, 1, 3, 0, 3, 2, 3, 4, 4, 1, 2, 4, 1, 1, 3, 3, 4, 4, 0, 4, 3, 3, 2, 1, 1, 4, 2, 3, 0, 0, 0, 1, 1, 3, 4, 4, 4, 4, 0, 3, 3, 2, 3, 2, 0, 3, 2, 1, 1, 2, 2, 3, 1, 1, 4, 4, 3, 4, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 4, 2, 3, 1, 2, 3, 2, 4, 2, 2, 3, 0, 0, 3, 1, 4, 4, 0, 4, 2, 2, 3, 3, 4, 2, 1, 4, 4, 4, 2, 0, 0, 0, 3, 4, 1, 4, 0, 3, 2, 3, 1, 1, 0, 3] pubkeycol904 = [2, 0, 1, 1, 4, 0, 1, 0, 2, 2, 1, 0, 0, 3, 1, 2, 3, 3, 1, 4, 2, 4, 0, 0, 0, 2, 1, 4, 1, 1, 3, 1, 4, 0, 4, 1, 0, 3, 1, 1, 1, 2, 4, 4, 2, 4, 4, 3, 1, 2, 4, 0, 1, 2, 0, 1, 3, 3, 2, 1, 3, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 4, 1, 2, 3, 4, 3, 3, 3, 2, 4, 0, 3, 2, 0, 0, 1, 4, 4, 0, 0, 4, 3, 1, 3, 2, 3, 3, 0, 4, 0, 0, 1, 4, 4, 2, 1, 3, 2, 3, 3, 0, 2, 4, 4, 2, 4, 1, 2, 3, 0, 3, 1, 0, 0, 3, 1, 2, 3, 0, 2, 0, 4, 3, 1, 3, 2, 2, 2, 3, 0, 3, 3, 3, 1, 0, 4, 1, 2, 4, 2, 2, 1, 1, 0, 4, 4, 4, 3, 2, 4, 1, 4, 2, 0, 4, 1, 3, 3, 3, 0, 0, 1, 4, 3, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 3, 0, 0, 0, 1, 3, 4, 1, 4, 2, 1, 0, 0, 4, 1, 3, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 3, 1, 3, 1, 0, 1, 2, 4, 2, 4, 1, 1, 0, 4, 2, 0, 3, 0, 1, 3, 1, 2, 2, 4, 1, 1, 1, 0, 3, 0, 0, 4, 1, 2, 1, 3, 1, 2, 3, 1, 4, 1, 0, 0, 4, 3, 2, 3, 2, 4, 0, 0, 4, 0, 2, 4, 1, 3, 0, 2, 4, 1, 2, 1, 4, 2, 2, 3, 4, 3, 0, 3, 3, 0, 3, 2, 3, 0, 2, 0, 4, 1, 2, 3, 4, 3, 4, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 4, 3, 3, 3, 4, 3, 0, 4, 0, 0, 2, 1, 4, 3, 2, 2, 4, 0, 2, 3, 2, 1, 1, 3, 0, 0, 4, 2, 1, 0, 1, 0, 2, 0, 1, 4, 1, 1, 0, 0, 4, 2, 3, 4, 3, 0, 0, 1, 4, 0, 2, 1, 0, 2, 0, 3, 3, 3, 4, 4, 3, 0, 3, 2, 4, 2, 0, 0, 1, 0, 0, 3, 3, 0, 3, 3, 3, 0, 1, 2, 0, 0, 4, 2, 0, 0, 3, 1, 4] pubkeycol905 = [4, 4, 2, 0, 3, 2, 4, 3, 0, 4, 1, 0, 4, 2, 4, 3, 2, 2, 4, 3, 4, 0, 3, 4, 3, 0, 0, 1, 1, 1, 4, 2, 4, 3, 1, 1, 3, 3, 3, 2, 3, 4, 3, 1, 0, 4, 0, 1, 4, 0, 4, 0, 2, 2, 3, 2, 2, 3, 4, 2, 3, 1, 0, 3, 4, 0, 4, 1, 3, 2, 4, 4, 2, 0, 1, 4, 0, 3, 2, 0, 1, 0, 2, 2, 0, 4, 2, 1, 3, 3, 1, 2, 1, 0, 0, 0, 3, 2, 4, 4, 2, 0, 3, 0, 2, 4, 0, 3, 4, 0, 4, 0, 3, 3, 2, 1, 1, 1, 2, 2, 4, 1, 2, 0, 0, 0, 0, 4, 2, 4, 4, 0, 4, 4, 1, 0, 0, 2, 1, 3, 2, 3, 2, 4, 4, 3, 3, 3, 4, 1, 2, 2, 3, 1, 4, 0, 3, 3, 3, 0, 0, 2, 2, 4, 4, 0, 4, 1, 2, 0, 1, 1, 0, 2, 4, 1, 3, 4, 1, 1, 0, 1, 3, 1, 4, 4, 4, 1, 1, 4, 3, 1, 3, 2, 0, 4, 4, 1, 3, 3, 4, 0, 3, 2, 2, 2, 4, 4, 2, 2, 3, 0, 4, 0, 3, 1, 4, 3, 2, 4, 3, 3, 2, 4, 4, 2, 2, 4, 2, 0, 0, 2, 1, 2, 3, 1, 1, 4, 2, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 0, 4, 0, 3, 2, 3, 4, 0, 1, 1, 0, 1, 0, 4, 3, 4, 3, 3, 4, 1, 3, 3, 1, 2, 1, 1, 4, 4, 1, 1, 2, 3, 0, 4, 3, 2, 4, 0, 3, 0, 0, 2, 3, 1, 1, 0, 3, 0, 0, 2, 3, 2, 0, 4, 4, 2, 1, 4, 4, 3, 3, 0, 4, 3, 2, 3, 1, 2, 3, 3, 1, 4, 0, 4, 4, 3, 0, 3, 1, 3, 3, 3, 1, 0, 1, 2, 2, 4, 4, 4, 1, 0, 4, 1, 4, 2, 0, 0, 1, 4, 2, 1, 0, 1, 3, 1, 0, 2, 1, 2, 3, 0, 4, 2, 4, 0, 0, 4, 2, 0, 4, 4, 2, 1, 1, 0, 3, 0, 0, 0, 3, 2, 1, 3, 1, 4, 2, 1, 1, 4, 4, 3, 3, 2, 0, 2, 1, 4, 4, 1, 4] pubkeycol906 = [4, 4, 3, 0, 0, 0, 4, 0, 4, 0, 2, 2, 0, 2, 3, 1, 3, 0, 4, 4, 2, 0, 0, 2, 4, 0, 3, 0, 2, 1, 3, 0, 4, 2, 4, 3, 2, 0, 3, 3, 0, 2, 2, 4, 1, 2, 4, 4, 0, 3, 1, 3, 3, 2, 2, 4, 1, 0, 0, 4, 4, 1, 4, 3, 3, 1, 3, 0, 1, 4, 2, 0, 4, 2, 0, 3, 4, 2, 3, 4, 3, 4, 4, 1, 1, 2, 1, 1, 0, 4, 2, 0, 2, 1, 0, 0, 4, 0, 3, 0, 2, 4, 4, 1, 1, 3, 3, 0, 4, 2, 2, 3, 2, 4, 2, 1, 0, 3, 2, 1, 3, 3, 3, 1, 0, 2, 1, 3, 2, 0, 3, 2, 0, 1, 1, 4, 4, 2, 2, 1, 3, 0, 0, 0, 2, 1, 4, 1, 0, 4, 1, 0, 0, 0, 1, 2, 0, 4, 4, 1, 3, 4, 3, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 2, 3, 4, 3, 4, 0, 4, 0, 4, 0, 3, 2, 2, 0, 4, 4, 0, 3, 2, 4, 4, 2, 1, 3, 1, 2, 1, 3, 0, 3, 0, 0, 3, 4, 4, 1, 2, 4, 0, 3, 4, 2, 1, 3, 2, 0, 3, 4, 3, 0, 2, 3, 2, 1, 1, 1, 4, 4, 1, 1, 0, 0, 2, 3, 1, 1, 4, 1, 3, 0, 4, 3, 3, 2, 4, 2, 0, 2, 2, 1, 2, 1, 1, 4, 3, 4, 3, 0, 4, 3, 1, 2, 1, 0, 3, 3, 3, 1, 3, 0, 4, 1, 1, 2, 3, 3, 3, 4, 3, 3, 2, 4, 1, 0, 2, 3, 4, 3, 1, 4, 0, 1, 3, 4, 0, 2, 0, 0, 1, 2, 2, 3, 0, 4, 2, 1, 3, 4, 3, 4, 2, 2, 2, 0, 1, 4, 4, 2, 0, 1, 4, 4, 3, 3, 1, 2, 3, 2, 4, 3, 0, 1, 4, 4, 2, 2, 4, 3, 4, 0, 1, 3, 1, 4, 0, 4, 4, 1, 2, 0, 3, 3, 2, 4, 3, 0, 2, 3, 2, 1, 4, 0, 1, 4, 3, 3, 3, 1, 2, 2, 4, 0, 2, 4, 4, 3, 2, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 4, 2, 3, 2, 2, 1, 3, 3, 3, 0] pubkeycol907 = [3, 4, 3, 0, 2, 3, 2, 1, 2, 3, 4, 4, 4, 2, 1, 1, 3, 1, 3, 0, 0, 2, 4, 3, 2, 0, 1, 0, 1, 1, 1, 0, 2, 3, 0, 1, 0, 2, 2, 4, 2, 2, 2, 3, 1, 1, 1, 4, 0, 4, 1, 1, 4, 1, 2, 2, 0, 2, 0, 3, 2, 1, 3, 3, 4, 1, 2, 4, 2, 4, 0, 3, 3, 3, 3, 3, 1, 3, 1, 1, 2, 0, 4, 3, 0, 1, 2, 0, 4, 3, 2, 0, 1, 3, 4, 0, 2, 0, 1, 1, 4, 4, 2, 2, 3, 1, 4, 3, 4, 0, 1, 4, 0, 2, 0, 0, 2, 4, 3, 2, 4, 4, 4, 2, 1, 0, 2, 1, 2, 2, 0, 4, 4, 3, 1, 2, 4, 2, 2, 4, 2, 1, 2, 4, 1, 2, 0, 2, 1, 4, 3, 0, 0, 1, 3, 4, 2, 0, 0, 2, 1, 3, 3, 0, 4, 0, 2, 2, 0, 2, 1, 3, 0, 0, 1, 2, 0, 2, 2, 4, 2, 3, 4, 3, 0, 1, 2, 3, 0, 0, 2, 4, 2, 3, 0, 2, 0, 4, 2, 3, 3, 3, 2, 4, 4, 2, 2, 3, 3, 2, 2, 2, 2, 3, 1, 4, 0, 4, 4, 1, 3, 2, 2, 1, 1, 4, 4, 0, 3, 1, 0, 2, 4, 2, 2, 4, 0, 3, 0, 0, 1, 3, 4, 1, 3, 0, 1, 4, 3, 2, 1, 0, 4, 4, 2, 4, 0, 2, 4, 2, 2, 4, 0, 3, 4, 0, 1, 1, 3, 0, 3, 4, 0, 0, 3, 2, 0, 3, 1, 4, 3, 3, 1, 0, 1, 4, 0, 2, 1, 4, 4, 3, 1, 4, 3, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 4, 3, 3, 3, 3, 2, 0, 2, 3, 4, 2, 4, 4, 0, 4, 4, 2, 3, 1, 3, 3, 2, 2, 4, 1, 0, 0, 1, 4, 1, 2, 2, 2, 1, 1, 2, 1, 0, 4, 2, 3, 4, 0, 0, 4, 0, 2, 4, 4, 2, 3, 4, 2, 1, 3, 2, 0, 2, 3, 0, 1, 2, 1, 4, 3, 3, 4, 4, 4, 4, 0, 2, 1, 4, 3, 4, 3, 0, 4, 0, 0, 1, 4, 0, 0, 4, 3, 3, 3, 3, 3, 0, 2, 4] pubkeycol908 = [1, 4, 0, 3, 4, 1, 2, 2, 0, 2, 4, 1, 2, 0, 0, 3, 0, 4, 2, 1, 0, 2, 1, 0, 3, 1, 2, 3, 4, 2, 2, 0, 2, 4, 3, 1, 2, 2, 2, 3, 4, 1, 3, 2, 2, 1, 0, 4, 4, 4, 0, 3, 0, 3, 2, 4, 3, 3, 4, 3, 0, 4, 1, 1, 1, 1, 2, 0, 1, 1, 3, 4, 2, 2, 2, 2, 3, 1, 2, 1, 1, 0, 3, 2, 1, 4, 1, 0, 0, 2, 0, 3, 2, 4, 2, 3, 3, 4, 0, 2, 1, 0, 4, 2, 0, 2, 3, 3, 3, 2, 0, 1, 1, 4, 0, 2, 0, 2, 4, 2, 1, 4, 4, 3, 4, 3, 0, 2, 4, 3, 4, 3, 2, 3, 0, 2, 0, 4, 2, 4, 3, 1, 1, 3, 0, 2, 1, 2, 0, 0, 4, 2, 3, 0, 3, 2, 1, 2, 2, 0, 2, 2, 4, 0, 2, 2, 3, 0, 1, 3, 1, 4, 1, 0, 3, 4, 2, 4, 1, 4, 0, 4, 4, 1, 2, 3, 4, 2, 1, 3, 0, 2, 3, 3, 2, 4, 1, 2, 2, 1, 2, 1, 2, 1, 4, 1, 3, 3, 3, 3, 3, 1, 0, 3, 1, 1, 3, 3, 2, 3, 0, 3, 3, 1, 3, 3, 4, 2, 3, 4, 3, 0, 4, 0, 3, 4, 4, 1, 1, 0, 3, 3, 1, 0, 1, 4, 2, 4, 1, 2, 1, 2, 0, 3, 3, 0, 2, 3, 0, 1, 1, 3, 1, 3, 1, 4, 1, 2, 0, 4, 0, 4, 1, 1, 4, 2, 2, 1, 1, 0, 2, 4, 1, 4, 2, 0, 3, 2, 3, 3, 4, 1, 0, 4, 3, 0, 1, 1, 0, 4, 3, 2, 0, 2, 0, 0, 4, 4, 0, 0, 0, 4, 1, 4, 4, 1, 0, 1, 0, 1, 1, 0, 4, 4, 2, 0, 1, 1, 4, 4, 3, 1, 2, 0, 1, 3, 3, 4, 1, 3, 1, 4, 4, 0, 2, 3, 1, 1, 3, 3, 1, 3, 1, 2, 1, 1, 4, 1, 4, 3, 3, 1, 3, 2, 4, 0, 3, 3, 4, 0, 2, 1, 3, 1, 3, 0, 3, 2, 4, 1, 1, 2, 1, 3, 1, 0, 3, 0, 1, 4, 1, 4, 3, 3, 1, 3, 4, 0, 0, 4] pubkeycol909 = [1, 3, 4, 0, 4, 4, 0, 3, 4, 4, 2, 3, 0, 1, 1, 1, 4, 2, 4, 1, 1, 3, 2, 2, 2, 3, 1, 3, 4, 0, 2, 0, 2, 3, 1, 0, 1, 3, 0, 3, 3, 0, 3, 3, 4, 2, 2, 4, 1, 4, 1, 4, 4, 1, 2, 3, 2, 1, 0, 4, 2, 1, 2, 1, 4, 1, 3, 2, 2, 1, 2, 3, 1, 0, 1, 4, 0, 2, 2, 3, 0, 2, 0, 3, 1, 4, 1, 1, 2, 1, 2, 2, 0, 2, 3, 0, 3, 2, 1, 3, 1, 2, 3, 3, 2, 2, 4, 4, 3, 2, 2, 3, 4, 1, 4, 1, 4, 4, 1, 1, 3, 2, 2, 4, 1, 0, 3, 4, 4, 3, 2, 4, 1, 2, 1, 1, 2, 0, 4, 2, 4, 1, 3, 3, 2, 2, 0, 3, 2, 2, 1, 0, 0, 4, 4, 4, 2, 4, 1, 2, 1, 3, 4, 1, 0, 0, 2, 0, 3, 0, 2, 1, 0, 0, 2, 2, 3, 4, 4, 2, 3, 4, 2, 0, 4, 2, 2, 0, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 3, 4, 0, 3, 3, 4, 2, 1, 1, 2, 4, 2, 2, 0, 4, 3, 1, 3, 2, 3, 1, 4, 1, 2, 2, 1, 1, 4, 4, 0, 3, 0, 2, 4, 0, 1, 3, 0, 3, 2, 0, 0, 4, 4, 0, 1, 3, 0, 3, 0, 4, 0, 2, 1, 4, 4, 2, 2, 1, 4, 0, 0, 2, 2, 2, 0, 4, 1, 4, 1, 4, 1, 0, 0, 1, 2, 1, 4, 2, 1, 0, 4, 2, 1, 0, 1, 2, 4, 0, 2, 4, 1, 3, 2, 4, 2, 1, 0, 4, 0, 1, 3, 2, 3, 1, 2, 1, 3, 2, 0, 2, 2, 1, 2, 1, 2, 4, 2, 4, 4, 2, 2, 2, 3, 3, 0, 3, 3, 1, 3, 3, 3, 4, 0, 3, 1, 0, 2, 3, 1, 3, 2, 4, 1, 3, 1, 3, 0, 4, 1, 4, 3, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 1, 4, 3, 1, 4, 0, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 0, 1, 2, 4, 2, 3, 0, 4, 0, 1, 4, 0, 2, 1, 1, 3, 1, 1, 4, 0, 4, 4, 2] pubkeycol910 = [2, 1, 4, 3, 4, 4, 2, 4, 3, 1, 2, 0, 1, 3, 3, 2, 1, 0, 1, 1, 4, 4, 3, 2, 2, 3, 2, 2, 1, 4, 2, 0, 2, 1, 3, 0, 0, 1, 2, 0, 1, 0, 4, 0, 2, 2, 0, 1, 3, 3, 1, 1, 1, 0, 4, 3, 4, 4, 4, 3, 1, 2, 4, 3, 0, 3, 2, 4, 2, 2, 0, 2, 4, 0, 4, 3, 0, 3, 4, 0, 1, 1, 0, 4, 2, 0, 4, 0, 1, 3, 0, 0, 2, 0, 2, 4, 3, 2, 4, 4, 3, 0, 1, 0, 4, 0, 1, 0, 4, 0, 2, 0, 4, 0, 1, 1, 1, 0, 4, 1, 3, 3, 3, 2, 4, 2, 3, 0, 2, 2, 1, 2, 4, 4, 2, 3, 2, 1, 2, 3, 0, 1, 1, 4, 3, 3, 0, 4, 2, 3, 0, 2, 2, 4, 0, 1, 1, 0, 0, 1, 3, 1, 3, 0, 4, 4, 2, 1, 3, 3, 2, 0, 2, 2, 1, 1, 0, 0, 4, 2, 4, 2, 0, 4, 1, 2, 2, 1, 4, 0, 1, 2, 2, 1, 3, 4, 1, 0, 4, 1, 2, 4, 1, 0, 4, 4, 0, 4, 3, 4, 1, 1, 3, 1, 2, 1, 1, 2, 2, 1, 2, 3, 3, 2, 4, 0, 4, 0, 2, 0, 2, 3, 2, 4, 0, 1, 0, 0, 1, 0, 1, 3, 4, 2, 1, 2, 1, 4, 4, 4, 4, 2, 4, 1, 1, 4, 0, 3, 4, 0, 4, 4, 0, 1, 1, 3, 2, 4, 2, 0, 3, 3, 1, 4, 1, 1, 3, 3, 4, 2, 2, 4, 3, 1, 0, 4, 0, 0, 3, 1, 3, 0, 0, 2, 3, 4, 2, 3, 2, 2, 2, 3, 1, 4, 4, 4, 2, 0, 3, 4, 3, 4, 4, 1, 0, 3, 3, 3, 3, 4, 2, 2, 4, 2, 4, 0, 0, 2, 4, 4, 2, 1, 4, 3, 2, 1, 3, 0, 2, 4, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 0, 3, 0, 1, 2, 4, 1, 4, 0, 0, 3, 2, 4, 4, 0, 1, 0, 2, 4, 1, 1, 0, 4, 1, 1, 3, 3, 1, 3, 3, 3, 4, 4, 2, 4, 1, 3, 3, 0, 2, 4, 1, 2, 0, 0, 4, 3, 2, 1, 1] pubkeycol911 = [2, 1, 4, 2, 2, 3, 4, 1, 1, 1, 4, 3, 1, 3, 3, 3, 2, 1, 2, 0, 3, 4, 4, 1, 0, 3, 1, 2, 3, 2, 0, 1, 3, 3, 2, 4, 3, 4, 2, 2, 0, 1, 2, 2, 3, 4, 3, 2, 4, 0, 2, 3, 2, 0, 0, 0, 1, 0, 0, 4, 3, 2, 4, 2, 2, 4, 1, 4, 1, 2, 1, 2, 1, 1, 3, 4, 0, 0, 0, 1, 2, 2, 3, 3, 1, 3, 1, 3, 2, 4, 0, 1, 4, 3, 4, 2, 0, 3, 2, 0, 4, 0, 2, 4, 0, 3, 4, 4, 3, 0, 3, 0, 3, 3, 3, 0, 1, 4, 1, 4, 1, 2, 4, 2, 1, 3, 0, 3, 1, 2, 2, 3, 3, 3, 3, 3, 2, 4, 0, 1, 4, 4, 4, 3, 4, 2, 1, 3, 0, 1, 2, 4, 4, 0, 1, 4, 3, 0, 2, 3, 1, 3, 1, 0, 3, 1, 4, 1, 2, 3, 3, 0, 3, 1, 0, 1, 2, 0, 0, 2, 4, 2, 1, 4, 1, 3, 1, 4, 1, 4, 3, 4, 4, 1, 0, 4, 4, 0, 1, 1, 1, 2, 0, 1, 4, 3, 0, 4, 4, 1, 3, 4, 3, 0, 4, 4, 4, 3, 2, 1, 1, 3, 1, 4, 3, 3, 2, 3, 3, 1, 3, 1, 4, 2, 0, 2, 4, 0, 1, 2, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 0, 3, 4, 4, 1, 3, 4, 4, 3, 1, 3, 2, 2, 1, 0, 2, 2, 4, 3, 4, 4, 2, 4, 0, 1, 3, 2, 1, 4, 3, 4, 1, 2, 4, 1, 2, 1, 4, 0, 2, 3, 2, 1, 0, 2, 0, 3, 2, 3, 1, 2, 0, 3, 0, 3, 0, 2, 2, 4, 4, 3, 4, 0, 0, 1, 4, 4, 3, 0, 2, 0, 2, 4, 3, 4, 1, 4, 3, 0, 3, 3, 0, 2, 1, 4, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 3, 3, 0, 0, 1, 4, 4, 2, 2, 2, 4, 3, 3, 3, 2, 1, 4, 0, 3, 0, 3, 2, 3, 1, 0, 4, 2, 1, 1, 1, 4, 0, 1, 3, 2, 3, 4, 0, 3, 1, 4, 4, 3, 1, 0, 4, 4, 3, 1, 4] pubkeycol912 = [1, 4, 1, 4, 0, 2, 1, 3, 0, 3, 1, 2, 2, 3, 0, 1, 4, 1, 4, 0, 3, 4, 0, 4, 1, 0, 1, 0, 4, 3, 4, 2, 4, 1, 0, 0, 2, 4, 0, 1, 1, 2, 1, 3, 1, 3, 2, 3, 0, 4, 4, 0, 0, 2, 4, 4, 1, 4, 0, 0, 0, 3, 0, 2, 4, 3, 4, 0, 2, 2, 0, 0, 4, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 3, 1, 0, 0, 4, 1, 2, 3, 0, 2, 2, 0, 2, 3, 0, 1, 1, 0, 2, 0, 3, 1, 4, 0, 2, 3, 0, 0, 0, 3, 1, 4, 2, 0, 1, 0, 0, 4, 1, 1, 0, 3, 1, 4, 3, 2, 4, 1, 2, 0, 1, 2, 2, 0, 4, 1, 1, 3, 0, 0, 3, 3, 3, 4, 2, 1, 4, 0, 0, 2, 2, 1, 1, 3, 2, 1, 2, 2, 2, 0, 1, 0, 2, 3, 0, 0, 0, 3, 4, 3, 3, 4, 3, 3, 4, 1, 0, 1, 1, 2, 0, 4, 4, 3, 1, 1, 1, 0, 0, 4, 2, 4, 1, 1, 2, 4, 2, 3, 0, 0, 0, 4, 1, 1, 3, 4, 4, 0, 2, 1, 0, 4, 3, 2, 1, 0, 1, 0, 4, 4, 2, 4, 2, 2, 2, 1, 1, 4, 4, 0, 4, 1, 3, 0, 0, 0, 3, 3, 4, 2, 0, 2, 3, 0, 1, 0, 4, 2, 1, 3, 2, 2, 4, 1, 3, 0, 1, 4, 1, 3, 4, 2, 2, 1, 4, 2, 3, 3, 2, 2, 3, 2, 1, 2, 1, 0, 1, 4, 1, 0, 4, 3, 0, 4, 0, 1, 4, 2, 0, 1, 0, 0, 4, 3, 0, 1, 2, 0, 1, 3, 0, 3, 3, 0, 3, 1, 0, 0, 0, 3, 4, 1, 1, 3, 1, 1, 2, 0, 3, 2, 1, 0, 2, 3, 1, 0, 3, 2, 0, 2, 2, 2, 1, 1, 1, 3, 2, 2, 1, 3, 4, 1, 1, 0, 1, 2, 3, 0, 0, 3, 0, 3, 1, 0, 0, 2, 3, 3, 3, 4, 1, 2, 0, 2, 0, 0, 3, 2, 4, 2, 0, 0, 4, 3, 1, 1, 4, 1, 0, 2, 1, 3, 4, 3, 2, 3, 1, 0, 1, 3, 1, 0, 4, 1, 0, 0, 3] pubkeycol913 = [1, 0, 0, 3, 0, 3, 1, 2, 0, 2, 1, 0, 2, 0, 4, 1, 2, 4, 0, 0, 2, 3, 0, 2, 3, 0, 4, 4, 2, 4, 3, 0, 2, 3, 2, 2, 3, 3, 4, 2, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 2, 1, 4, 0, 4, 0, 0, 0, 4, 1, 1, 0, 1, 3, 2, 1, 0, 3, 0, 1, 4, 0, 2, 4, 4, 3, 2, 0, 2, 2, 0, 4, 0, 0, 1, 3, 1, 0, 0, 1, 4, 1, 2, 3, 4, 1, 1, 0, 0, 3, 3, 3, 2, 3, 0, 1, 3, 0, 2, 0, 2, 4, 2, 1, 0, 2, 3, 1, 0, 4, 3, 4, 1, 1, 2, 0, 2, 3, 1, 4, 0, 2, 0, 1, 3, 0, 0, 0, 0, 2, 2, 3, 2, 2, 2, 4, 1, 2, 2, 3, 0, 0, 3, 0, 1, 2, 3, 1, 1, 4, 4, 3, 2, 4, 0, 3, 0, 3, 3, 1, 2, 1, 0, 1, 4, 1, 3, 1, 4, 1, 2, 4, 4, 2, 4, 2, 1, 4, 1, 2, 4, 3, 0, 0, 1, 1, 4, 4, 1, 0, 1, 2, 4, 3, 3, 0, 2, 0, 3, 1, 0, 1, 1, 0, 4, 2, 0, 1, 0, 2, 4, 2, 0, 0, 2, 3, 1, 2, 1, 4, 2, 4, 4, 3, 1, 1, 0, 0, 1, 3, 3, 2, 3, 4, 0, 1, 2, 3, 4, 1, 1, 0, 0, 4, 3, 2, 4, 4, 3, 1, 3, 0, 4, 1, 1, 3, 4, 0, 2, 4, 0, 4, 3, 2, 0, 2, 4, 4, 2, 3, 0, 1, 4, 1, 2, 0, 0, 3, 3, 4, 3, 0, 4, 4, 0, 0, 1, 2, 3, 0, 2, 4, 0, 4, 0, 3, 0, 2, 1, 1, 3, 0, 0, 0, 4, 2, 4, 2, 3, 0, 2, 0, 1, 3, 3, 0, 4, 4, 2, 4, 2, 1, 0, 3, 0, 3, 1, 4, 1, 4, 4, 2, 2, 0, 3, 4, 2, 2, 3, 1, 3, 4, 1, 0, 2, 2, 0, 3, 2, 0, 1, 1, 1, 3, 0, 4, 1, 3, 0, 1, 2, 4, 0, 0, 3, 1, 0, 4, 2, 2, 0, 3, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 4, 1, 4, 3, 4, 0, 3, 4] pubkeycol914 = [3, 0, 0, 2, 1, 4, 2, 4, 3, 0, 0, 1, 1, 3, 0, 3, 4, 4, 4, 3, 2, 4, 3, 2, 0, 1, 1, 0, 3, 2, 0, 0, 0, 1, 3, 3, 0, 1, 4, 4, 2, 0, 4, 1, 2, 3, 3, 3, 2, 4, 3, 3, 0, 2, 3, 3, 1, 0, 1, 0, 0, 1, 4, 2, 3, 4, 2, 1, 1, 4, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 4, 3, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 4, 1, 2, 2, 0, 2, 3, 2, 4, 1, 0, 4, 3, 2, 1, 2, 4, 1, 2, 3, 0, 0, 3, 2, 2, 3, 3, 4, 1, 0, 0, 1, 3, 3, 4, 4, 2, 3, 1, 3, 4, 4, 4, 4, 0, 3, 1, 4, 4, 3, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 4, 4, 3, 3, 4, 0, 1, 3, 3, 3, 4, 0, 0, 0, 1, 4, 4, 1, 1, 2, 2, 2, 2, 4, 2, 2, 0, 0, 4, 4, 3, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 4, 0, 0, 4, 3, 0, 3, 1, 4, 1, 0, 2, 1, 1, 1, 4, 0, 3, 4, 3, 4, 1, 4, 2, 4, 0, 0, 0, 4, 2, 4, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 4, 1, 3, 0, 3, 2, 4, 3, 1, 3, 0, 0, 4, 0, 4, 4, 2, 4, 4, 2, 4, 2, 0, 2, 3, 3, 1, 3, 4, 4, 3, 4, 2, 4, 4, 4, 0, 2, 2, 0, 2, 3, 4, 4, 0, 4, 3, 0, 2, 0, 1, 1, 4, 3, 3, 0, 2, 3, 0, 1, 4, 0, 3, 4, 4, 4, 2, 1, 2, 2, 0, 1, 3, 0, 0, 1, 0, 4, 0, 1, 4, 2, 4, 0, 1, 1, 3, 0, 3, 3, 4, 3, 3, 2, 1, 3, 4, 3, 1, 0, 0, 4, 3, 1, 4, 2, 1, 1, 0, 3, 1, 2, 2, 2, 2, 3, 4, 2, 2, 4, 3, 3, 2, 3, 2, 0, 2, 1, 1, 4, 4, 1, 4, 2, 3, 1, 0, 3, 1, 3, 3, 3, 1, 2, 4, 2, 0, 4, 1, 3, 1, 3, 3, 0, 3] pubkeycol915 = [0, 4, 2, 4, 2, 2, 1, 1, 1, 4, 0, 4, 2, 3, 2, 4, 2, 4, 3, 1, 1, 1, 3, 4, 4, 0, 2, 0, 1, 3, 3, 4, 3, 0, 3, 2, 4, 4, 4, 0, 3, 2, 4, 3, 1, 0, 2, 3, 0, 3, 3, 3, 0, 1, 4, 0, 2, 1, 1, 0, 2, 1, 0, 3, 4, 0, 0, 0, 4, 3, 4, 2, 0, 1, 4, 4, 4, 4, 2, 4, 2, 0, 4, 0, 1, 2, 1, 0, 0, 2, 4, 1, 0, 0, 1, 1, 2, 0, 4, 3, 3, 2, 1, 1, 4, 2, 1, 3, 0, 1, 1, 1, 4, 3, 4, 2, 2, 4, 2, 4, 2, 0, 2, 0, 4, 0, 3, 0, 1, 1, 1, 4, 1, 1, 0, 0, 0, 3, 4, 2, 0, 2, 4, 2, 3, 1, 0, 4, 1, 4, 4, 0, 3, 0, 4, 1, 1, 2, 4, 4, 1, 0, 4, 0, 0, 0, 4, 4, 2, 0, 2, 4, 3, 3, 1, 4, 3, 3, 2, 1, 3, 3, 2, 2, 4, 2, 2, 0, 3, 3, 1, 1, 0, 4, 3, 0, 3, 3, 4, 4, 4, 1, 3, 3, 1, 0, 4, 1, 1, 4, 0, 4, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 4, 2, 3, 3, 3, 3, 4, 3, 4, 0, 4, 4, 1, 3, 4, 4, 0, 1, 4, 3, 4, 4, 3, 4, 1, 2, 4, 1, 2, 2, 3, 2, 2, 3, 2, 3, 3, 4, 2, 2, 4, 1, 1, 1, 3, 4, 2, 0, 1, 2, 4, 2, 1, 4, 4, 2, 3, 1, 3, 2, 1, 1, 1, 3, 2, 3, 4, 1, 2, 4, 3, 1, 4, 0, 2, 0, 3, 4, 4, 4, 1, 3, 3, 0, 2, 0, 0, 2, 0, 3, 4, 1, 0, 0, 1, 4, 1, 3, 0, 2, 4, 0, 0, 2, 0, 0, 1, 4, 1, 2, 1, 2, 3, 2, 3, 2, 4, 4, 3, 1, 4, 4, 1, 4, 1, 0, 1, 3, 4, 1, 4, 3, 4, 4, 4, 1, 0, 1, 0, 3, 4, 4, 0, 1, 1, 0, 2, 1, 3, 4, 0, 4, 1, 0, 1, 0, 2, 4, 3, 0, 2, 1, 2, 2, 3, 1, 4, 1, 3, 3, 0, 3, 0, 3, 4, 3, 0, 1] pubkeycol916 = [0, 3, 4, 1, 0, 3, 0, 2, 4, 0, 0, 3, 1, 4, 2, 0, 2, 0, 2, 3, 3, 0, 1, 2, 2, 4, 4, 3, 1, 0, 1, 0, 2, 4, 4, 4, 0, 0, 2, 3, 3, 2, 4, 1, 0, 1, 4, 3, 0, 1, 1, 4, 4, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 3, 1, 0, 2, 3, 0, 4, 1, 3, 3, 3, 1, 2, 2, 0, 4, 4, 1, 0, 4, 0, 3, 2, 2, 1, 3, 0, 4, 4, 4, 3, 4, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 2, 0, 1, 0, 4, 1, 1, 0, 0, 4, 0, 2, 4, 2, 1, 3, 4, 2, 4, 0, 0, 0, 3, 3, 2, 2, 4, 3, 0, 0, 4, 4, 1, 3, 2, 0, 2, 2, 0, 0, 1, 4, 1, 3, 4, 2, 2, 0, 0, 3, 0, 3, 1, 2, 2, 0, 1, 4, 0, 1, 4, 0, 2, 3, 2, 3, 1, 4, 0, 4, 4, 1, 4, 1, 1, 3, 4, 2, 3, 4, 1, 4, 3, 1, 2, 1, 2, 1, 3, 0, 2, 4, 4, 3, 1, 0, 3, 2, 4, 1, 4, 0, 2, 3, 0, 2, 3, 4, 1, 3, 3, 1, 0, 4, 1, 4, 0, 0, 4, 3, 4, 4, 0, 4, 4, 2, 2, 1, 3, 1, 0, 2, 1, 4, 4, 1, 1, 0, 4, 3, 0, 2, 2, 0, 4, 3, 4, 4, 0, 2, 1, 2, 0, 3, 0, 3, 1, 4, 4, 2, 4, 3, 1, 1, 1, 2, 3, 0, 3, 1, 1, 1, 3, 0, 3, 4, 1, 0, 0, 2, 3, 0, 4, 3, 2, 0, 2, 1, 2, 3, 1, 1, 4, 3, 2, 4, 1, 0, 4, 3, 4, 4, 3, 0, 0, 0, 2, 1, 2, 4, 2, 1, 1, 2, 4, 3, 2, 1, 2, 3, 3, 0, 4, 1, 2, 4, 1, 3, 4, 0, 3, 0, 3, 0, 0, 1, 4, 2, 2, 0, 4, 3, 3, 1, 3, 4, 3, 3, 3, 0, 2, 1, 1, 4, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 2, 1, 0, 3, 3, 2, 3, 1, 2, 2, 3, 0, 0, 1, 2, 4, 1, 4, 3, 1, 3, 1, 0, 4, 4, 1, 4, 4, 2, 4] pubkeycol917 = [0, 4, 2, 4, 2, 4, 3, 3, 4, 4, 2, 3, 1, 1, 4, 4, 4, 0, 2, 2, 3, 3, 4, 4, 1, 1, 4, 0, 1, 4, 0, 4, 3, 0, 1, 1, 2, 2, 1, 1, 3, 0, 3, 2, 3, 4, 1, 3, 4, 3, 2, 1, 0, 2, 4, 0, 4, 3, 4, 1, 1, 3, 2, 2, 4, 4, 0, 4, 4, 3, 3, 4, 4, 4, 3, 4, 2, 1, 0, 0, 1, 0, 3, 3, 4, 2, 1, 0, 3, 1, 3, 4, 3, 4, 4, 2, 2, 2, 4, 0, 0, 4, 2, 0, 2, 3, 3, 0, 2, 2, 3, 4, 3, 0, 0, 4, 3, 1, 1, 4, 2, 2, 2, 1, 0, 4, 4, 3, 1, 2, 1, 4, 2, 4, 1, 3, 1, 0, 2, 4, 1, 1, 1, 0, 1, 3, 0, 4, 3, 3, 4, 1, 3, 3, 0, 4, 1, 0, 3, 2, 0, 2, 4, 1, 4, 2, 1, 1, 0, 4, 3, 4, 2, 3, 0, 4, 2, 1, 1, 1, 4, 3, 2, 1, 3, 1, 0, 2, 1, 1, 3, 0, 4, 4, 3, 0, 2, 2, 0, 1, 3, 0, 4, 4, 4, 1, 3, 0, 3, 0, 1, 2, 3, 4, 0, 2, 4, 0, 4, 0, 1, 1, 1, 2, 4, 2, 0, 1, 4, 2, 3, 3, 3, 1, 0, 3, 0, 4, 3, 0, 0, 2, 2, 2, 4, 2, 0, 2, 4, 4, 3, 4, 0, 3, 1, 0, 4, 2, 3, 0, 2, 0, 2, 2, 2, 4, 1, 0, 2, 0, 3, 3, 0, 2, 2, 1, 4, 4, 3, 4, 3, 4, 4, 1, 2, 3, 4, 0, 2, 0, 0, 2, 2, 0, 1, 0, 3, 4, 2, 3, 1, 2, 3, 1, 3, 4, 2, 4, 1, 0, 1, 4, 3, 3, 3, 0, 1, 4, 3, 4, 2, 0, 1, 2, 3, 2, 2, 2, 1, 1, 0, 0, 2, 3, 1, 1, 1, 1, 0, 4, 3, 2, 4, 1, 3, 4, 3, 0, 4, 1, 3, 1, 2, 3, 0, 3, 4, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 4, 1, 3, 4, 4, 1, 2, 3, 3, 2, 1, 1, 0, 3, 3, 3, 1, 4, 1, 4, 1, 4, 0, 1, 3, 1, 2, 4, 1, 2, 1, 4, 0] pubkeycol918 = [0, 0, 3, 2, 1, 3, 3, 2, 2, 2, 0, 1, 3, 3, 0, 2, 0, 2, 4, 1, 3, 4, 1, 1, 4, 0, 3, 2, 3, 2, 1, 0, 2, 4, 0, 3, 0, 4, 0, 0, 0, 4, 0, 4, 4, 1, 4, 2, 3, 0, 4, 3, 2, 0, 3, 3, 4, 3, 2, 3, 1, 0, 2, 4, 0, 1, 4, 3, 4, 3, 3, 4, 0, 1, 3, 0, 4, 0, 0, 4, 4, 4, 1, 2, 1, 1, 1, 0, 3, 3, 3, 1, 1, 0, 2, 0, 4, 2, 0, 1, 0, 2, 2, 4, 2, 3, 1, 3, 4, 1, 1, 2, 2, 2, 3, 0, 2, 1, 1, 3, 1, 1, 2, 4, 1, 3, 2, 3, 0, 0, 3, 0, 0, 3, 1, 4, 1, 0, 4, 4, 3, 4, 1, 3, 0, 1, 3, 0, 2, 3, 1, 3, 0, 4, 3, 4, 3, 1, 3, 4, 0, 4, 0, 2, 1, 0, 1, 4, 2, 4, 1, 2, 1, 4, 1, 0, 4, 1, 1, 2, 4, 3, 1, 3, 2, 4, 2, 2, 4, 1, 1, 0, 1, 3, 3, 1, 4, 4, 2, 3, 3, 0, 0, 0, 3, 2, 4, 3, 2, 0, 4, 0, 2, 3, 3, 3, 0, 0, 2, 2, 0, 1, 3, 2, 2, 0, 0, 3, 1, 0, 0, 0, 4, 3, 4, 0, 1, 0, 4, 0, 2, 4, 2, 3, 1, 0, 2, 0, 4, 1, 4, 2, 2, 4, 0, 3, 1, 3, 0, 0, 4, 0, 4, 0, 3, 0, 2, 2, 4, 4, 2, 2, 3, 3, 3, 2, 1, 2, 3, 4, 1, 1, 4, 1, 4, 4, 1, 3, 2, 1, 4, 3, 4, 3, 0, 3, 1, 3, 2, 4, 2, 1, 3, 1, 4, 1, 2, 3, 0, 3, 0, 3, 2, 3, 3, 4, 2, 1, 2, 4, 3, 0, 3, 3, 4, 1, 3, 0, 3, 2, 1, 0, 3, 2, 4, 2, 0, 2, 0, 0, 3, 0, 3, 2, 2, 3, 1, 3, 4, 2, 3, 0, 0, 4, 2, 3, 2, 2, 2, 1, 0, 1, 0, 3, 3, 4, 0, 2, 3, 3, 3, 4, 1, 3, 4, 2, 3, 4, 0, 3, 2, 4, 0, 0, 0, 3, 4, 2, 1, 1, 4, 2, 4, 0, 4, 0, 2, 1, 2, 4] pubkeycol919 = [2, 0, 1, 1, 0, 0, 0, 3, 2, 2, 2, 3, 4, 0, 4, 0, 2, 4, 2, 0, 3, 3, 2, 1, 1, 1, 4, 3, 3, 1, 4, 1, 2, 1, 4, 3, 0, 1, 1, 2, 3, 3, 4, 2, 3, 3, 1, 1, 4, 3, 3, 3, 3, 1, 3, 2, 4, 4, 1, 2, 4, 3, 3, 4, 1, 3, 3, 2, 2, 3, 2, 4, 3, 0, 3, 3, 1, 2, 1, 0, 1, 0, 3, 0, 2, 3, 4, 0, 2, 1, 3, 0, 4, 0, 3, 3, 4, 1, 3, 1, 2, 4, 1, 4, 0, 0, 1, 2, 0, 3, 2, 0, 2, 1, 3, 2, 0, 4, 3, 0, 3, 2, 0, 0, 1, 1, 4, 2, 0, 0, 4, 3, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 2, 2, 3, 1, 2, 2, 1, 2, 3, 2, 4, 0, 3, 4, 3, 1, 4, 0, 0, 3, 3, 0, 0, 2, 4, 1, 2, 2, 1, 3, 4, 4, 0, 2, 1, 3, 3, 2, 2, 3, 2, 4, 0, 0, 2, 3, 1, 0, 4, 4, 1, 1, 0, 3, 3, 1, 2, 4, 1, 3, 4, 1, 3, 4, 2, 4, 0, 2, 4, 4, 2, 4, 4, 2, 1, 4, 3, 2, 1, 0, 2, 4, 0, 0, 2, 3, 4, 0, 4, 4, 3, 3, 0, 4, 4, 0, 0, 2, 1, 3, 0, 3, 1, 3, 1, 4, 4, 3, 2, 2, 0, 3, 0, 0, 4, 4, 3, 4, 0, 1, 0, 0, 3, 2, 2, 3, 3, 4, 3, 1, 2, 0, 2, 0, 3, 1, 0, 1, 4, 2, 3, 2, 2, 2, 3, 1, 4, 2, 1, 1, 0, 1, 2, 3, 1, 2, 2, 3, 3, 4, 4, 0, 0, 0, 3, 1, 1, 4, 1, 0, 1, 3, 0, 1, 3, 1, 1, 1, 3, 3, 2, 3, 0, 4, 0, 3, 1, 4, 2, 4, 0, 1, 3, 1, 2, 4, 4, 3, 4, 4, 0, 1, 1, 3, 3, 4, 0, 2, 0, 3, 1, 2, 3, 0, 0, 3, 0, 1, 0, 4, 0, 4, 0, 2, 1, 3, 0, 3, 4, 2, 1, 1, 4, 2, 2, 3, 2, 0, 1, 4, 3, 2, 3, 4, 0, 1, 0, 0, 1, 0, 2, 1, 1, 3, 2, 0, 3, 2] pubkeycol920 = [0, 3, 3, 0, 2, 0, 3, 2, 0, 3, 2, 2, 0, 0, 1, 0, 0, 3, 2, 3, 3, 0, 2, 4, 3, 2, 0, 3, 1, 2, 2, 4, 2, 2, 2, 0, 2, 0, 2, 2, 4, 3, 0, 2, 0, 2, 3, 4, 2, 0, 0, 2, 1, 4, 0, 0, 1, 2, 1, 3, 2, 3, 2, 0, 4, 0, 3, 3, 2, 1, 4, 1, 1, 3, 2, 3, 0, 2, 3, 2, 4, 1, 3, 1, 4, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 2, 3, 2, 1, 3, 4, 3, 0, 2, 0, 1, 2, 0, 3, 0, 0, 3, 2, 1, 4, 3, 0, 0, 4, 3, 4, 1, 2, 0, 1, 2, 3, 0, 4, 3, 4, 3, 2, 2, 4, 2, 2, 4, 4, 2, 4, 1, 4, 0, 0, 1, 4, 1, 3, 1, 1, 4, 1, 2, 0, 1, 3, 2, 1, 4, 3, 3, 1, 1, 0, 1, 4, 3, 1, 4, 0, 0, 4, 4, 1, 3, 4, 2, 4, 0, 2, 1, 3, 0, 2, 0, 4, 0, 4, 2, 1, 1, 2, 3, 0, 0, 3, 0, 4, 2, 1, 1, 3, 0, 0, 0, 1, 0, 3, 1, 3, 4, 2, 3, 3, 4, 0, 3, 3, 1, 4, 1, 0, 1, 1, 3, 4, 3, 1, 0, 1, 1, 2, 0, 0, 2, 3, 2, 3, 1, 0, 4, 3, 4, 3, 2, 3, 1, 4, 1, 0, 2, 3, 2, 3, 0, 1, 0, 0, 1, 3, 0, 4, 2, 0, 0, 3, 2, 1, 2, 4, 0, 1, 4, 0, 3, 2, 2, 0, 2, 0, 2, 3, 3, 1, 2, 3, 0, 3, 4, 1, 2, 4, 1, 4, 0, 3, 0, 2, 3, 1, 2, 0, 3, 0, 4, 3, 0, 3, 4, 0, 4, 3, 2, 0, 3, 1, 3, 2, 3, 4, 0, 4, 3, 4, 1, 2, 2, 0, 0, 2, 2, 4, 1, 3, 0, 3, 4, 4, 3, 4, 0, 0, 1, 1, 4, 2, 2, 1, 4, 2, 4, 3, 0, 2, 3, 1, 4, 2, 2, 3, 4, 2, 0, 3, 2, 4, 4, 2, 0, 4, 4, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 3, 0, 2, 3, 2, 4, 2, 3, 1, 0, 1, 1] pubkeycol921 = [4, 4, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 3, 3, 4, 3, 0, 1, 1, 3, 1, 1, 4, 0, 1, 4, 2, 0, 1, 4, 2, 1, 4, 1, 2, 4, 3, 2, 1, 2, 3, 4, 3, 4, 2, 4, 1, 4, 4, 0, 4, 1, 3, 4, 0, 0, 0, 4, 1, 0, 0, 4, 1, 0, 1, 1, 2, 0, 1, 1, 4, 4, 0, 1, 4, 3, 1, 3, 3, 2, 1, 0, 0, 0, 4, 2, 0, 4, 4, 4, 4, 3, 1, 0, 3, 4, 3, 2, 1, 2, 3, 1, 4, 3, 0, 4, 2, 3, 2, 1, 0, 3, 1, 3, 1, 2, 4, 2, 1, 3, 3, 2, 4, 2, 1, 3, 1, 3, 2, 1, 1, 0, 3, 2, 1, 4, 3, 0, 1, 0, 0, 2, 1, 3, 4, 4, 1, 1, 1, 4, 3, 2, 0, 2, 3, 3, 3, 2, 0, 0, 4, 2, 4, 1, 3, 2, 4, 1, 3, 2, 3, 2, 4, 2, 3, 3, 3, 1, 3, 3, 4, 2, 2, 4, 3, 0, 0, 2, 2, 1, 3, 0, 3, 2, 3, 4, 2, 1, 3, 4, 2, 0, 2, 1, 1, 3, 2, 1, 2, 0, 3, 2, 2, 2, 2, 0, 2, 1, 2, 2, 3, 3, 2, 4, 1, 1, 3, 4, 1, 1, 3, 3, 4, 2, 3, 2, 4, 0, 2, 1, 0, 2, 4, 4, 1, 2, 3, 2, 0, 4, 3, 1, 1, 1, 4, 2, 3, 4, 2, 2, 2, 1, 3, 1, 4, 4, 3, 3, 3, 2, 2, 0, 3, 3, 4, 0, 4, 2, 1, 3, 3, 0, 2, 4, 4, 3, 1, 3, 3, 2, 0, 3, 4, 3, 3, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 3, 3, 0, 1, 1, 3, 3, 0, 2, 0, 0, 4, 4, 0, 3, 2, 4, 2, 1, 2, 1, 1, 3, 2, 2, 1, 3, 2, 1, 1, 2, 3, 4, 0, 0, 2, 3, 4, 2, 3, 1, 1, 4, 1, 1, 3, 0, 4, 3, 4, 3, 0, 2, 2, 0, 1, 1, 2, 3, 0, 2, 2, 3, 2, 2, 3, 1, 0, 0, 0, 2, 2, 0, 1, 3, 1, 4, 3, 4, 3, 4, 1, 1, 2, 0, 4, 1, 1, 4, 0] pubkeycol922 = [3, 3, 3, 3, 0, 3, 3, 4, 2, 3, 3, 2, 4, 0, 4, 0, 2, 3, 4, 0, 3, 1, 0, 1, 0, 2, 2, 3, 2, 0, 0, 3, 2, 0, 1, 1, 0, 1, 4, 2, 3, 3, 2, 4, 4, 2, 0, 2, 1, 0, 4, 0, 3, 3, 4, 2, 3, 3, 3, 3, 1, 2, 3, 0, 1, 2, 4, 4, 4, 1, 1, 3, 4, 3, 0, 2, 0, 1, 4, 4, 4, 0, 1, 2, 3, 3, 2, 1, 1, 3, 2, 1, 3, 4, 1, 4, 2, 3, 1, 2, 2, 0, 0, 0, 4, 2, 4, 2, 3, 4, 1, 1, 0, 1, 0, 2, 3, 0, 4, 4, 1, 2, 2, 3, 1, 0, 2, 0, 3, 1, 2, 3, 1, 2, 4, 2, 1, 0, 4, 4, 1, 4, 3, 2, 4, 1, 2, 2, 0, 0, 2, 0, 2, 1, 4, 2, 3, 0, 2, 2, 1, 4, 4, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 3, 3, 3, 4, 0, 1, 3, 2, 3, 4, 2, 4, 1, 3, 2, 1, 0, 4, 1, 2, 3, 1, 1, 0, 0, 0, 2, 1, 3, 0, 1, 1, 4, 0, 4, 1, 4, 0, 1, 3, 3, 4, 2, 2, 0, 4, 3, 2, 0, 2, 4, 4, 4, 4, 2, 2, 3, 1, 4, 3, 2, 1, 4, 0, 3, 2, 0, 3, 2, 3, 1, 2, 2, 0, 3, 2, 4, 0, 2, 0, 3, 2, 1, 3, 1, 1, 3, 4, 3, 2, 1, 3, 4, 2, 1, 4, 1, 3, 4, 3, 1, 4, 2, 1, 2, 4, 1, 2, 3, 4, 2, 1, 3, 4, 0, 0, 3, 3, 3, 1, 4, 3, 2, 3, 4, 2, 3, 0, 4, 1, 3, 2, 0, 1, 4, 2, 4, 0, 2, 1, 1, 4, 3, 2, 4, 1, 1, 4, 2, 1, 0, 4, 3, 2, 3, 3, 3, 0, 4, 3, 3, 1, 1, 1, 3, 0, 2, 1, 2, 1, 4, 3, 2, 4, 0, 1, 0, 2, 1, 2, 0, 0, 3, 0, 4, 2, 1, 0, 2, 1, 4, 3, 0, 1, 4, 1, 1, 1, 3, 2, 2, 4, 1, 3, 2, 2, 4, 4, 3, 1, 0, 4, 4, 2, 0, 2, 4, 2, 4, 4, 3, 1, 0] pubkeycol923 = [0, 2, 1, 3, 3, 1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 1, 2, 1, 4, 2, 1, 2, 0, 4, 1, 1, 1, 3, 0, 2, 3, 4, 3, 4, 3, 0, 4, 4, 2, 1, 1, 2, 0, 3, 1, 1, 4, 1, 2, 1, 0, 0, 4, 1, 2, 2, 1, 0, 2, 1, 4, 2, 1, 1, 3, 4, 4, 0, 3, 0, 3, 0, 0, 0, 3, 4, 3, 0, 2, 1, 2, 4, 0, 4, 0, 2, 4, 2, 3, 4, 3, 2, 3, 0, 1, 4, 4, 3, 1, 3, 3, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 3, 3, 3, 0, 1, 3, 2, 1, 3, 2, 2, 2, 2, 3, 2, 4, 2, 3, 1, 1, 2, 3, 4, 0, 2, 0, 0, 2, 1, 1, 1, 0, 3, 3, 4, 4, 4, 1, 2, 2, 1, 0, 1, 1, 2, 4, 2, 4, 0, 4, 2, 1, 2, 1, 4, 0, 2, 0, 4, 2, 4, 1, 3, 0, 4, 1, 3, 3, 0, 3, 1, 0, 4, 4, 0, 2, 3, 0, 1, 3, 2, 2, 2, 4, 3, 0, 1, 3, 1, 0, 2, 0, 2, 2, 1, 3, 4, 4, 2, 1, 4, 2, 3, 1, 1, 1, 2, 3, 3, 0, 3, 0, 4, 2, 0, 2, 1, 0, 2, 1, 3, 0, 1, 0, 4, 2, 4, 2, 2, 1, 2, 1, 0, 3, 3, 3, 0, 1, 0, 1, 2, 3, 4, 4, 4, 1, 1, 1, 1, 3, 2, 3, 4, 1, 0, 0, 4, 0, 2, 2, 4, 3, 1, 0, 0, 0, 1, 0, 2, 0, 4, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 1, 0, 3, 2, 3, 1, 0, 0, 2, 0, 0, 4, 4, 2, 3, 3, 2, 0, 0, 3, 3, 1, 1, 4, 1, 2, 1, 2, 0, 3, 2, 1, 0, 1, 3, 4, 1, 3, 0, 1, 1, 4, 4, 4, 2, 1, 0, 0, 4, 3, 4, 0, 4, 0, 4, 4, 4, 2, 1, 3, 0, 2, 4, 1, 0, 1, 2, 3, 1, 4, 2, 0, 3, 2, 3, 0, 4, 1, 2, 4, 0, 4, 1, 3, 4, 2, 0, 0, 4, 2, 2, 4, 0, 1, 0, 2, 0, 4, 3, 4, 1, 0, 1, 2] pubkeycol924 = [2, 4, 2, 4, 3, 2, 3, 4, 4, 3, 4, 1, 0, 4, 3, 4, 4, 1, 4, 3, 0, 3, 3, 1, 1, 4, 4, 3, 2, 4, 1, 0, 1, 4, 2, 0, 4, 3, 0, 0, 3, 3, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 4, 4, 3, 1, 3, 1, 0, 1, 2, 0, 4, 1, 3, 3, 0, 2, 1, 1, 1, 3, 4, 0, 3, 1, 1, 0, 3, 3, 1, 2, 0, 4, 3, 0, 3, 3, 0, 3, 4, 2, 1, 4, 4, 1, 4, 0, 2, 4, 0, 3, 2, 2, 4, 2, 2, 4, 2, 1, 3, 0, 3, 4, 0, 3, 1, 4, 1, 0, 1, 0, 0, 2, 2, 1, 3, 0, 0, 2, 3, 0, 2, 3, 0, 3, 3, 4, 3, 0, 3, 2, 0, 2, 1, 2, 3, 4, 3, 0, 1, 0, 4, 0, 0, 3, 0, 2, 2, 3, 1, 3, 3, 4, 1, 2, 2, 4, 1, 0, 0, 4, 4, 2, 0, 2, 1, 2, 0, 2, 4, 0, 0, 1, 0, 3, 0, 0, 2, 1, 4, 0, 3, 0, 4, 3, 4, 4, 3, 2, 2, 3, 1, 1, 2, 4, 1, 3, 0, 1, 3, 2, 1, 2, 1, 4, 3, 2, 4, 2, 0, 3, 2, 2, 3, 1, 0, 3, 4, 1, 2, 0, 0, 3, 3, 4, 1, 0, 2, 0, 0, 4, 1, 3, 1, 2, 4, 4, 4, 3, 0, 0, 0, 1, 4, 1, 1, 3, 3, 0, 4, 1, 2, 1, 0, 0, 3, 1, 3, 3, 4, 1, 1, 1, 0, 4, 2, 2, 0, 0, 4, 2, 4, 3, 4, 1, 2, 0, 3, 0, 1, 4, 2, 0, 0, 4, 0, 3, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 4, 2, 3, 0, 0, 2, 4, 3, 3, 4, 1, 4, 1, 3, 3, 3, 2, 4, 2, 2, 1, 1, 2, 3, 3, 4, 1, 0, 2, 3, 1, 3, 4, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 1, 3, 3, 2, 1, 0, 3, 3, 2, 0, 0, 0, 3, 0, 3, 3, 0, 1, 4, 1, 4, 1, 1, 2, 2, 0, 3, 0, 4, 1, 0, 3, 1, 4, 4, 3, 1, 3, 1, 1, 3, 1, 0, 3, 1] pubkeycol925 = [4, 1, 1, 4, 0, 0, 1, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 3, 0, 1, 1, 2, 4, 3, 0, 3, 4, 2, 4, 2, 4, 4, 2, 0, 4, 4, 3, 2, 4, 3, 4, 3, 1, 2, 1, 2, 2, 3, 3, 0, 0, 3, 1, 2, 2, 1, 4, 1, 2, 0, 1, 1, 3, 0, 1, 2, 2, 4, 0, 2, 1, 3, 2, 4, 2, 1, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 1, 0, 2, 2, 3, 3, 4, 4, 2, 4, 2, 0, 4, 2, 0, 4, 3, 1, 3, 4, 2, 0, 2, 0, 1, 4, 4, 4, 0, 4, 2, 0, 3, 3, 4, 4, 2, 0, 2, 3, 4, 2, 3, 0, 4, 1, 3, 0, 0, 0, 4, 1, 4, 3, 3, 4, 1, 0, 0, 0, 3, 4, 1, 1, 0, 3, 3, 1, 4, 4, 3, 3, 3, 1, 4, 1, 1, 1, 2, 1, 3, 3, 3, 0, 0, 3, 0, 2, 4, 1, 4, 1, 1, 2, 1, 4, 0, 4, 3, 0, 0, 4, 3, 4, 2, 2, 4, 0, 3, 4, 2, 1, 1, 3, 4, 4, 1, 2, 1, 0, 1, 4, 2, 0, 1, 0, 2, 3, 0, 0, 2, 2, 3, 2, 4, 2, 4, 3, 4, 4, 0, 0, 1, 3, 3, 3, 1, 3, 4, 4, 3, 3, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 4, 3, 1, 2, 2, 2, 2, 3, 2, 2, 0, 4, 4, 4, 2, 1, 1, 0, 3, 0, 0, 1, 2, 0, 4, 4, 3, 3, 1, 1, 3, 1, 3, 3, 4, 0, 1, 1, 3, 1, 0, 1, 3, 2, 2, 1, 1, 1, 2, 1, 4, 3, 2, 2, 3, 1, 1, 3, 2, 4, 2, 4, 0, 0, 1, 0, 1, 3, 3, 3, 3, 4, 0, 0, 3, 2, 4, 0, 1, 1, 1, 4, 2, 4, 0, 1, 0, 0, 4, 4, 0, 0, 0, 3, 4, 4, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 3, 3, 3, 1, 3, 1, 4, 2, 3, 1, 4, 3, 3, 0, 3, 0, 4, 2, 3, 3, 2, 4, 0, 4, 1, 1, 3, 2, 4, 1, 1, 2, 2, 4, 0, 3, 4, 2, 0, 2, 1, 3] pubkeycol926 = [4, 1, 2, 0, 2, 2, 4, 4, 2, 4, 3, 2, 4, 1, 1, 2, 3, 3, 3, 4, 2, 2, 2, 1, 2, 0, 3, 4, 4, 3, 4, 2, 2, 3, 4, 3, 3, 4, 2, 3, 2, 0, 4, 1, 3, 1, 2, 4, 2, 2, 3, 4, 1, 1, 4, 4, 4, 0, 2, 3, 4, 1, 3, 1, 3, 2, 1, 0, 0, 1, 0, 0, 2, 3, 2, 0, 1, 3, 3, 4, 1, 1, 0, 1, 2, 0, 4, 1, 0, 0, 4, 2, 1, 4, 3, 2, 2, 1, 0, 3, 4, 3, 2, 1, 3, 2, 1, 4, 2, 0, 4, 0, 2, 1, 2, 4, 2, 2, 4, 1, 4, 3, 4, 4, 1, 4, 3, 2, 2, 3, 3, 0, 2, 0, 0, 1, 1, 3, 1, 0, 1, 1, 3, 4, 2, 1, 2, 2, 1, 4, 4, 0, 0, 4, 0, 2, 2, 1, 1, 2, 4, 1, 1, 2, 4, 2, 2, 2, 2, 2, 2, 3, 2, 4, 0, 3, 4, 2, 3, 1, 0, 3, 1, 3, 2, 2, 0, 4, 2, 3, 0, 3, 3, 0, 0, 3, 1, 0, 2, 0, 2, 3, 4, 4, 3, 0, 2, 0, 3, 4, 2, 0, 3, 3, 2, 0, 1, 3, 1, 1, 2, 3, 3, 1, 4, 4, 3, 4, 0, 4, 3, 0, 4, 1, 3, 1, 0, 1, 2, 2, 0, 1, 4, 0, 1, 1, 2, 2, 4, 3, 0, 2, 1, 3, 1, 4, 3, 2, 2, 1, 2, 4, 3, 3, 2, 2, 0, 3, 2, 4, 0, 2, 3, 0, 0, 4, 1, 3, 1, 2, 4, 0, 1, 1, 2, 3, 3, 4, 1, 3, 3, 0, 2, 3, 3, 2, 2, 2, 4, 4, 0, 1, 2, 4, 1, 4, 0, 3, 2, 0, 3, 2, 2, 4, 2, 1, 4, 2, 2, 3, 1, 0, 3, 3, 2, 1, 2, 4, 0, 0, 4, 4, 4, 4, 1, 4, 1, 1, 3, 4, 1, 1, 4, 1, 2, 1, 2, 4, 1, 3, 1, 2, 1, 0, 0, 1, 4, 0, 1, 1, 0, 2, 4, 2, 2, 3, 2, 2, 2, 2, 4, 2, 2, 1, 4, 4, 1, 3, 2, 2, 0, 4, 1, 0, 2, 0, 0, 2, 4, 2, 1, 0, 1, 1, 1, 3, 3, 2, 1, 4] pubkeycol927 = [1, 3, 4, 0, 0, 1, 4, 0, 1, 1, 2, 3, 3, 4, 0, 1, 1, 0, 4, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 3, 2, 0, 1, 3, 2, 2, 2, 2, 2, 4, 0, 2, 4, 2, 3, 1, 0, 3, 2, 1, 0, 4, 3, 3, 1, 3, 1, 4, 1, 3, 4, 0, 4, 2, 0, 1, 3, 1, 0, 0, 3, 4, 2, 1, 0, 4, 3, 2, 1, 2, 2, 3, 1, 3, 2, 0, 4, 3, 2, 0, 4, 3, 3, 1, 1, 4, 1, 0, 1, 1, 2, 2, 0, 2, 0, 4, 1, 3, 2, 3, 2, 0, 0, 4, 3, 0, 3, 2, 3, 4, 3, 2, 4, 1, 0, 0, 1, 4, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 4, 1, 0, 1, 1, 2, 2, 1, 3, 3, 1, 0, 2, 0, 0, 0, 4, 4, 2, 2, 3, 1, 4, 4, 0, 1, 2, 0, 3, 0, 0, 0, 0, 4, 2, 3, 4, 4, 0, 4, 0, 4, 2, 4, 4, 3, 4, 1, 1, 2, 1, 4, 3, 2, 3, 4, 2, 1, 0, 0, 2, 0, 3, 2, 0, 1, 4, 2, 1, 0, 0, 1, 4, 4, 4, 3, 2, 1, 2, 1, 3, 1, 3, 1, 4, 3, 2, 3, 4, 1, 0, 0, 3, 0, 1, 0, 1, 2, 0, 1, 4, 0, 1, 3, 2, 2, 0, 2, 0, 2, 3, 1, 3, 3, 1, 3, 1, 3, 4, 0, 4, 0, 1, 2, 3, 2, 0, 3, 3, 2, 4, 4, 2, 2, 0, 2, 2, 2, 0, 0, 0, 4, 2, 2, 4, 4, 3, 2, 0, 2, 3, 1, 2, 4, 0, 4, 1, 1, 4, 1, 4, 3, 4, 2, 0, 4, 2, 0, 1, 1, 4, 2, 3, 3, 0, 4, 0, 1, 1, 2, 3, 4, 1, 3, 3, 4, 2, 4, 1, 0, 2, 4, 3, 1, 4, 4, 2, 2, 1, 3, 4, 4, 1, 3, 0, 2, 0, 4, 1, 2, 2, 3, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 3, 3, 4, 2, 4, 4, 1, 1, 3, 2, 0, 2, 0, 1, 4, 0, 4, 1, 3, 4, 4, 3, 3, 1, 1, 4, 2, 3, 0, 3, 2, 2, 3, 2, 0, 3, 4] pubkeycol928 = [4, 1, 0, 1, 3, 1, 1, 1, 3, 2, 4, 2, 2, 3, 4, 4, 1, 1, 3, 4, 2, 3, 4, 1, 2, 4, 2, 1, 3, 0, 1, 3, 4, 1, 3, 0, 2, 4, 4, 2, 1, 1, 1, 4, 3, 4, 2, 3, 2, 4, 1, 4, 0, 3, 1, 4, 2, 3, 2, 2, 4, 2, 3, 1, 0, 2, 4, 1, 2, 1, 0, 4, 4, 4, 4, 0, 1, 0, 1, 1, 4, 4, 1, 1, 3, 2, 3, 2, 0, 2, 1, 3, 2, 1, 3, 4, 4, 1, 2, 2, 3, 2, 4, 0, 1, 1, 1, 0, 1, 4, 0, 4, 4, 2, 1, 0, 4, 1, 2, 4, 3, 2, 1, 0, 2, 3, 0, 0, 0, 2, 0, 0, 4, 3, 4, 3, 4, 0, 2, 1, 0, 4, 2, 4, 0, 4, 4, 0, 2, 2, 3, 4, 1, 4, 0, 0, 2, 2, 1, 0, 1, 4, 4, 0, 3, 2, 0, 4, 0, 0, 0, 2, 3, 0, 0, 3, 4, 3, 2, 0, 4, 0, 4, 1, 4, 0, 3, 0, 3, 1, 3, 1, 4, 3, 2, 1, 0, 2, 0, 3, 3, 2, 2, 2, 0, 2, 1, 3, 1, 4, 1, 3, 3, 4, 1, 2, 0, 0, 3, 0, 4, 0, 2, 4, 4, 0, 3, 2, 0, 4, 3, 1, 1, 2, 2, 0, 1, 4, 0, 2, 4, 0, 4, 1, 2, 4, 3, 2, 3, 0, 3, 0, 1, 0, 1, 0, 3, 1, 2, 3, 0, 0, 3, 1, 1, 4, 4, 0, 2, 4, 1, 3, 1, 1, 4, 3, 4, 4, 3, 0, 2, 1, 3, 3, 0, 1, 1, 2, 0, 4, 3, 2, 0, 1, 4, 0, 0, 2, 3, 0, 3, 1, 0, 3, 1, 0, 1, 3, 4, 2, 0, 4, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 4, 1, 3, 0, 2, 3, 1, 1, 3, 1, 2, 1, 0, 0, 3, 4, 1, 1, 3, 3, 1, 4, 4, 1, 2, 3, 0, 3, 0, 3, 1, 2, 0, 2, 2, 0, 2, 3, 1, 4, 0, 1, 2, 3, 2, 4, 4, 1, 4, 2, 2, 3, 0, 3, 2, 4, 2, 1, 0, 4, 0, 1, 1, 4, 4, 2, 0, 0, 4, 1, 4, 4, 0, 1, 0, 2, 2, 4] pubkeycol929 = [3, 2, 0, 4, 4, 0, 3, 2, 0, 4, 1, 1, 4, 1, 2, 1, 1, 0, 2, 2, 3, 1, 0, 0, 1, 3, 0, 2, 0, 1, 1, 4, 0, 1, 2, 2, 4, 1, 3, 0, 3, 0, 4, 0, 4, 3, 1, 3, 2, 1, 3, 0, 1, 3, 1, 0, 3, 2, 3, 1, 4, 4, 3, 1, 3, 1, 4, 3, 2, 4, 3, 4, 4, 1, 4, 0, 4, 2, 3, 3, 2, 4, 3, 4, 3, 4, 0, 2, 3, 1, 1, 4, 2, 2, 3, 4, 4, 3, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 3, 1, 4, 1, 2, 4, 2, 1, 4, 3, 4, 3, 1, 2, 0, 4, 3, 0, 1, 2, 0, 3, 3, 0, 1, 0, 2, 2, 3, 3, 2, 3, 2, 1, 2, 0, 0, 2, 2, 0, 1, 4, 3, 4, 4, 1, 2, 1, 3, 0, 2, 4, 2, 3, 3, 1, 2, 3, 2, 4, 3, 0, 1, 0, 4, 3, 2, 2, 4, 3, 2, 1, 4, 3, 1, 4, 0, 0, 2, 1, 2, 1, 1, 3, 4, 0, 3, 1, 1, 3, 3, 2, 2, 0, 0, 4, 2, 0, 3, 2, 4, 0, 2, 4, 1, 0, 4, 0, 2, 0, 1, 3, 4, 3, 4, 0, 3, 2, 0, 0, 2, 3, 3, 4, 0, 0, 4, 0, 4, 1, 2, 2, 2, 0, 1, 1, 1, 2, 4, 3, 3, 4, 2, 2, 0, 4, 1, 3, 3, 1, 3, 4, 0, 2, 2, 4, 0, 2, 0, 3, 2, 3, 4, 2, 4, 3, 3, 4, 3, 3, 1, 2, 1, 4, 1, 1, 4, 0, 3, 4, 1, 1, 0, 3, 2, 3, 4, 2, 4, 3, 1, 2, 4, 4, 4, 3, 3, 0, 2, 2, 3, 2, 1, 4, 4, 1, 3, 2, 0, 2, 3, 0, 1, 2, 0, 3, 3, 2, 1, 0, 2, 1, 4, 4, 0, 2, 1, 2, 2, 1, 0, 4, 1, 0, 0, 3, 4, 2, 4, 1, 3, 3, 3, 0, 2, 0, 4, 3, 2, 0, 4, 2, 3, 2, 3, 0, 1, 3, 3, 4, 0, 0, 2, 2, 1, 2, 2, 0, 4, 4, 3, 1, 2, 0, 2, 1, 2, 1, 0, 4, 3, 4, 2, 1, 3, 4, 1, 3, 0, 1, 1, 4] pubkeycol930 = [3, 3, 0, 4, 0, 4, 2, 2, 1, 1, 1, 1, 2, 0, 3, 4, 1, 1, 2, 2, 4, 2, 1, 4, 4, 4, 0, 0, 3, 1, 3, 2, 3, 4, 0, 0, 1, 1, 4, 3, 3, 2, 1, 0, 0, 4, 1, 0, 0, 4, 0, 0, 4, 3, 0, 2, 1, 0, 4, 2, 4, 3, 2, 1, 4, 4, 4, 0, 4, 2, 1, 3, 0, 0, 3, 0, 2, 1, 0, 1, 4, 4, 2, 4, 3, 0, 2, 4, 1, 1, 4, 3, 3, 2, 2, 2, 1, 0, 1, 3, 0, 2, 3, 2, 0, 1, 2, 2, 3, 2, 1, 0, 0, 4, 2, 4, 4, 3, 0, 4, 3, 2, 1, 1, 2, 3, 0, 1, 1, 0, 2, 0, 4, 2, 3, 2, 3, 1, 4, 0, 0, 1, 0, 3, 4, 1, 4, 2, 1, 1, 1, 2, 2, 1, 4, 3, 4, 3, 1, 0, 2, 3, 3, 1, 3, 4, 3, 4, 1, 0, 3, 1, 2, 3, 1, 2, 2, 0, 1, 2, 2, 1, 4, 1, 4, 1, 1, 1, 4, 1, 0, 3, 4, 3, 1, 0, 2, 2, 2, 4, 2, 4, 4, 3, 4, 2, 3, 2, 4, 1, 1, 3, 3, 1, 4, 4, 0, 3, 0, 4, 2, 2, 0, 3, 3, 1, 4, 2, 1, 1, 1, 0, 1, 3, 0, 1, 2, 3, 4, 4, 2, 4, 3, 3, 4, 3, 0, 1, 1, 2, 2, 0, 3, 0, 0, 3, 3, 1, 1, 2, 1, 3, 2, 2, 3, 4, 1, 2, 0, 0, 3, 0, 4, 4, 0, 1, 2, 4, 3, 4, 3, 0, 1, 3, 3, 4, 1, 4, 4, 0, 2, 4, 2, 4, 1, 2, 1, 4, 2, 4, 4, 0, 0, 3, 1, 3, 3, 0, 0, 2, 2, 4, 0, 3, 4, 1, 3, 2, 0, 4, 4, 0, 1, 2, 4, 0, 4, 4, 1, 4, 3, 0, 3, 4, 3, 2, 4, 4, 1, 4, 2, 4, 4, 3, 1, 2, 3, 1, 3, 3, 4, 4, 2, 4, 1, 1, 2, 3, 1, 4, 3, 3, 3, 3, 2, 1, 4, 2, 3, 4, 2, 2, 1, 2, 3, 1, 2, 3, 1, 1, 3, 4, 2, 0, 3, 3, 0, 2, 4, 2, 3, 4, 3, 2, 3, 3, 3, 4, 4, 4] pubkeycol931 = [0, 4, 2, 0, 1, 1, 0, 3, 2, 1, 4, 2, 3, 0, 3, 3, 0, 2, 2, 1, 1, 2, 4, 0, 0, 0, 4, 0, 2, 4, 2, 4, 2, 3, 1, 3, 0, 2, 0, 0, 3, 4, 0, 1, 1, 1, 2, 1, 3, 4, 0, 1, 1, 1, 3, 1, 3, 1, 0, 1, 1, 0, 4, 1, 1, 3, 0, 3, 2, 1, 0, 1, 0, 0, 2, 2, 3, 2, 3, 2, 1, 2, 0, 3, 2, 3, 2, 3, 4, 2, 3, 1, 0, 1, 3, 0, 1, 3, 3, 3, 3, 0, 2, 2, 0, 4, 2, 0, 4, 4, 4, 0, 3, 1, 1, 1, 2, 4, 4, 2, 0, 3, 4, 0, 1, 2, 3, 2, 4, 2, 2, 2, 2, 4, 2, 4, 2, 0, 0, 2, 1, 2, 0, 0, 4, 2, 2, 1, 3, 4, 3, 1, 3, 0, 3, 2, 2, 4, 1, 4, 3, 0, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 3, 3, 1, 2, 2, 3, 0, 2, 4, 2, 3, 3, 0, 1, 1, 0, 3, 1, 4, 4, 2, 1, 4, 4, 1, 3, 4, 1, 1, 3, 3, 1, 3, 1, 2, 2, 0, 0, 4, 4, 4, 4, 4, 2, 4, 3, 4, 2, 3, 2, 4, 4, 2, 4, 4, 3, 0, 3, 0, 4, 0, 3, 2, 0, 3, 1, 2, 2, 4, 0, 0, 1, 4, 4, 2, 4, 3, 0, 3, 2, 2, 0, 0, 1, 4, 3, 0, 0, 3, 0, 0, 0, 2, 4, 4, 4, 1, 2, 2, 3, 0, 0, 1, 2, 2, 3, 1, 3, 0, 3, 4, 3, 0, 4, 0, 1, 3, 1, 4, 0, 3, 3, 3, 0, 4, 3, 3, 2, 1, 1, 0, 3, 4, 4, 0, 0, 2, 0, 4, 3, 1, 4, 1, 2, 2, 2, 1, 0, 1, 0, 0, 3, 3, 3, 4, 2, 3, 3, 1, 2, 3, 0, 0, 4, 4, 0, 4, 0, 2, 4, 4, 0, 0, 2, 2, 1, 2, 0, 3, 4, 2, 2, 2, 4, 2, 4, 1, 1, 4, 0, 2, 4, 3, 4, 0, 1, 1, 0, 0, 0, 1, 4, 1, 4, 4, 1, 2, 2, 2, 3, 2, 3, 1, 3, 0, 3, 0, 0, 3, 2, 4, 1, 0] pubkeycol932 = [3, 3, 1, 1, 0, 2, 1, 1, 0, 2, 0, 4, 3, 0, 3, 1, 0, 0, 0, 0, 0, 1, 1, 3, 2, 3, 0, 0, 0, 1, 4, 1, 3, 2, 2, 1, 1, 1, 3, 4, 4, 2, 1, 4, 0, 4, 0, 2, 0, 0, 3, 3, 1, 2, 2, 4, 0, 1, 0, 3, 4, 0, 0, 3, 4, 1, 2, 1, 3, 3, 0, 3, 2, 0, 4, 2, 2, 3, 3, 3, 2, 3, 2, 3, 0, 2, 1, 3, 3, 4, 2, 1, 3, 0, 0, 4, 1, 3, 2, 1, 4, 0, 1, 1, 1, 3, 3, 3, 0, 2, 3, 0, 3, 4, 3, 1, 4, 4, 4, 3, 0, 3, 0, 0, 1, 0, 1, 1, 0, 4, 3, 3, 2, 1, 0, 2, 0, 4, 4, 3, 4, 4, 2, 3, 4, 4, 2, 0, 1, 0, 3, 3, 4, 3, 2, 0, 1, 4, 4, 1, 2, 3, 4, 2, 1, 4, 3, 2, 4, 0, 4, 1, 0, 3, 3, 2, 2, 3, 1, 2, 0, 1, 3, 3, 2, 0, 3, 4, 2, 3, 0, 0, 0, 1, 4, 4, 4, 0, 3, 1, 4, 2, 1, 3, 2, 4, 1, 0, 3, 1, 1, 3, 1, 0, 3, 4, 1, 1, 3, 2, 1, 1, 1, 2, 0, 1, 3, 1, 1, 3, 3, 1, 0, 0, 3, 4, 4, 1, 1, 4, 0, 4, 3, 2, 3, 2, 1, 4, 1, 3, 1, 0, 2, 1, 2, 0, 3, 2, 0, 1, 1, 1, 0, 0, 4, 4, 1, 1, 4, 3, 3, 2, 1, 4, 3, 1, 3, 2, 4, 4, 3, 1, 1, 3, 2, 2, 2, 4, 3, 3, 0, 3, 3, 3, 1, 4, 4, 2, 3, 0, 0, 2, 0, 0, 4, 0, 2, 4, 2, 0, 4, 1, 1, 0, 1, 1, 1, 1, 0, 4, 1, 1, 0, 2, 1, 1, 2, 2, 0, 3, 1, 4, 3, 2, 3, 3, 1, 2, 0, 4, 0, 4, 3, 0, 1, 4, 1, 4, 4, 0, 1, 4, 0, 2, 3, 3, 3, 2, 3, 3, 4, 1, 1, 3, 4, 4, 0, 0, 2, 4, 4, 4, 4, 0, 2, 0, 1, 2, 4, 3, 0, 4, 3, 1, 3, 4, 1, 4, 4, 3, 4, 2, 3, 1, 1, 2, 2, 2, 2, 3] pubkeycol933 = [3, 1, 0, 0, 2, 2, 3, 4, 4, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 0, 2, 0, 4, 2, 4, 2, 3, 3, 4, 0, 1, 4, 4, 2, 2, 3, 4, 2, 1, 4, 0, 1, 2, 4, 1, 0, 0, 2, 2, 4, 2, 2, 2, 1, 4, 2, 2, 0, 4, 2, 4, 1, 4, 0, 0, 0, 2, 4, 2, 4, 1, 0, 2, 2, 2, 2, 0, 2, 4, 4, 1, 1, 4, 4, 4, 1, 3, 1, 2, 3, 1, 2, 2, 0, 4, 2, 1, 3, 4, 0, 0, 0, 2, 4, 2, 1, 1, 4, 2, 0, 1, 4, 3, 2, 0, 2, 2, 4, 1, 3, 1, 3, 4, 3, 4, 0, 0, 4, 3, 0, 4, 2, 2, 1, 0, 1, 4, 4, 0, 4, 4, 4, 2, 3, 3, 2, 3, 0, 3, 1, 3, 4, 1, 2, 0, 2, 4, 2, 0, 0, 2, 3, 4, 0, 0, 2, 4, 0, 4, 3, 4, 4, 1, 2, 0, 4, 1, 1, 0, 3, 3, 3, 0, 1, 0, 1, 3, 4, 1, 2, 1, 0, 4, 0, 1, 1, 0, 0, 0, 3, 3, 4, 4, 0, 1, 3, 1, 0, 1, 4, 0, 4, 2, 2, 3, 3, 3, 4, 1, 2, 0, 4, 0, 0, 3, 3, 4, 0, 2, 3, 3, 0, 0, 0, 1, 2, 4, 2, 2, 4, 4, 0, 4, 4, 3, 0, 4, 0, 1, 0, 1, 0, 0, 1, 4, 2, 0, 2, 2, 3, 3, 2, 4, 1, 4, 0, 4, 1, 0, 1, 3, 3, 4, 1, 2, 4, 3, 1, 0, 0, 0, 0, 3, 0, 3, 1, 0, 1, 4, 2, 3, 0, 1, 4, 3, 3, 2, 2, 0, 2, 3, 3, 1, 2, 3, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 4, 0, 3, 4, 3, 4, 2, 4, 3, 2, 0, 3, 0, 3, 4, 1, 2, 1, 1, 3, 0, 0, 1, 1, 4, 4, 2, 2, 1, 1, 0, 1, 3, 0, 0, 2, 1, 3, 1, 1, 3, 4, 1, 0, 4, 4, 3, 2, 4, 3, 2, 2, 3, 4, 0, 1, 1, 3, 0, 1, 4, 4, 4, 4, 0, 3, 0, 0, 2, 1, 0, 0, 0, 4, 3, 3, 0, 4, 0] pubkeycol934 = [1, 4, 3, 1, 0, 0, 4, 4, 1, 2, 1, 4, 1, 2, 1, 4, 3, 3, 3, 0, 0, 2, 1, 1, 4, 2, 0, 4, 0, 3, 2, 4, 1, 4, 1, 4, 1, 1, 0, 4, 3, 2, 1, 2, 0, 3, 3, 2, 2, 0, 0, 1, 3, 3, 3, 1, 2, 2, 4, 4, 3, 0, 1, 4, 1, 4, 2, 2, 3, 2, 3, 2, 4, 3, 3, 2, 1, 4, 0, 1, 3, 3, 0, 4, 2, 2, 3, 4, 4, 1, 2, 2, 1, 1, 0, 1, 4, 1, 3, 2, 3, 1, 2, 2, 4, 0, 0, 3, 0, 0, 4, 2, 0, 2, 3, 0, 3, 0, 3, 0, 0, 4, 0, 4, 4, 3, 4, 4, 4, 1, 2, 3, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 4, 0, 0, 3, 4, 1, 3, 3, 4, 4, 1, 3, 3, 3, 0, 0, 0, 4, 2, 3, 4, 2, 4, 4, 3, 0, 3, 2, 3, 3, 4, 4, 2, 3, 3, 0, 2, 1, 0, 0, 3, 2, 2, 4, 4, 4, 3, 2, 1, 0, 3, 0, 3, 4, 4, 1, 2, 0, 4, 0, 4, 1, 1, 2, 1, 3, 2, 0, 1, 4, 3, 3, 1, 1, 2, 2, 3, 4, 0, 0, 0, 3, 3, 4, 2, 3, 0, 0, 2, 1, 1, 0, 4, 1, 4, 2, 0, 2, 1, 4, 0, 2, 3, 0, 4, 1, 4, 4, 0, 4, 2, 1, 4, 2, 0, 4, 1, 4, 3, 1, 1, 1, 1, 3, 0, 1, 2, 4, 2, 0, 2, 3, 3, 3, 3, 4, 0, 3, 0, 4, 2, 3, 0, 3, 2, 4, 4, 1, 2, 3, 4, 2, 3, 0, 2, 0, 0, 3, 1, 0, 3, 3, 1, 3, 1, 3, 1, 4, 4, 1, 2, 2, 3, 4, 1, 0, 2, 1, 2, 3, 3, 4, 0, 0, 3, 0, 3, 3, 4, 0, 2, 4, 3, 0, 2, 2, 2, 3, 3, 4, 1, 3, 4, 0, 1, 2, 2, 3, 1, 0, 1, 1, 0, 0, 0, 3, 0, 4, 3, 4, 4, 1, 1, 1, 0, 4, 4, 2, 2, 1, 1, 2, 1, 0, 1, 1, 4, 3, 0, 4, 0, 0, 2, 0, 2, 1, 2, 0, 4, 4, 4, 3, 4, 3, 4] pubkeycol935 = [3, 4, 2, 0, 3, 2, 0, 3, 4, 3, 4, 2, 2, 2, 4, 2, 0, 3, 0, 3, 2, 4, 3, 0, 2, 2, 1, 4, 2, 2, 4, 0, 1, 0, 1, 1, 3, 1, 3, 4, 4, 1, 4, 4, 0, 3, 4, 0, 3, 2, 1, 4, 2, 4, 2, 3, 0, 0, 2, 0, 1, 2, 4, 2, 2, 0, 3, 4, 3, 2, 2, 2, 4, 4, 1, 4, 0, 2, 0, 1, 2, 2, 4, 0, 1, 1, 4, 0, 0, 3, 0, 0, 4, 1, 2, 4, 3, 0, 2, 3, 4, 0, 1, 3, 3, 1, 2, 2, 0, 4, 2, 2, 0, 0, 2, 0, 0, 3, 3, 3, 4, 4, 3, 0, 0, 1, 4, 3, 4, 1, 0, 4, 0, 4, 0, 1, 4, 1, 4, 1, 2, 4, 4, 0, 0, 3, 2, 0, 1, 0, 2, 0, 1, 4, 0, 4, 0, 3, 3, 1, 4, 3, 1, 0, 0, 4, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 1, 3, 0, 4, 1, 0, 4, 2, 3, 4, 4, 4, 2, 3, 0, 0, 2, 1, 1, 1, 3, 0, 3, 2, 3, 1, 3, 0, 3, 4, 3, 4, 3, 2, 1, 2, 0, 0, 1, 0, 3, 1, 3, 1, 4, 3, 4, 0, 4, 1, 1, 3, 2, 4, 2, 2, 2, 2, 2, 0, 0, 4, 0, 3, 2, 1, 1, 3, 4, 1, 0, 0, 0, 3, 2, 2, 4, 1, 2, 0, 4, 0, 0, 2, 4, 1, 4, 0, 2, 0, 0, 1, 3, 1, 1, 3, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 4, 3, 2, 4, 0, 3, 4, 4, 0, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 1, 2, 1, 2, 2, 0, 4, 2, 3, 2, 1, 2, 3, 2, 0, 0, 3, 2, 1, 0, 0, 4, 2, 4, 4, 4, 4, 2, 2, 0, 4, 2, 0, 4, 2, 3, 4, 2, 0, 3, 3, 2, 4, 3, 2, 4, 0, 1, 4, 0, 2, 3, 1, 4, 2, 2, 1, 0, 3, 2, 2, 2, 3, 2, 4, 4, 1, 2, 2, 3, 1, 4, 0, 1, 2, 4, 1, 2, 1, 4, 3, 1, 1, 3, 1, 0, 2, 0, 2, 2, 4, 0, 3, 0, 1, 1, 0, 3] pubkeycol936 = [3, 1, 1, 2, 1, 0, 2, 0, 2, 3, 2, 1, 1, 1, 0, 4, 2, 2, 1, 3, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 3, 0, 3, 2, 2, 0, 0, 4, 0, 3, 2, 0, 0, 3, 4, 2, 2, 4, 4, 3, 3, 4, 0, 4, 4, 0, 2, 0, 3, 1, 0, 2, 2, 1, 3, 4, 0, 4, 3, 3, 3, 4, 1, 3, 1, 4, 3, 4, 4, 0, 3, 3, 4, 4, 1, 0, 4, 3, 4, 0, 4, 3, 0, 2, 2, 3, 3, 1, 0, 2, 2, 4, 4, 3, 0, 1, 1, 1, 3, 2, 2, 4, 3, 4, 1, 2, 1, 3, 2, 2, 0, 1, 3, 4, 1, 1, 2, 0, 1, 4, 2, 2, 4, 1, 0, 3, 1, 0, 3, 0, 2, 0, 4, 3, 1, 1, 4, 1, 2, 0, 1, 0, 3, 3, 3, 4, 1, 2, 2, 2, 0, 4, 1, 3, 4, 4, 3, 0, 1, 1, 4, 0, 3, 0, 1, 4, 3, 0, 2, 2, 1, 3, 0, 3, 0, 0, 1, 3, 1, 1, 3, 2, 3, 1, 0, 0, 3, 0, 4, 1, 2, 1, 4, 1, 4, 2, 3, 0, 4, 0, 1, 4, 4, 0, 2, 0, 3, 0, 1, 1, 1, 2, 4, 3, 4, 0, 1, 1, 4, 0, 4, 2, 2, 1, 1, 2, 3, 4, 0, 1, 1, 2, 3, 1, 3, 3, 3, 0, 2, 0, 2, 2, 2, 2, 3, 0, 1, 4, 0, 1, 3, 2, 0, 4, 1, 2, 2, 3, 2, 4, 3, 4, 2, 3, 3, 1, 0, 2, 4, 0, 2, 4, 1, 3, 2, 1, 1, 4, 3, 4, 0, 0, 1, 0, 4, 1, 3, 0, 0, 1, 0, 0, 3, 4, 0, 1, 4, 0, 3, 3, 0, 4, 3, 1, 2, 3, 4, 4, 0, 1, 3, 2, 3, 3, 3, 2, 4, 3, 3, 3, 1, 0, 1, 0, 1, 1, 0, 4, 3, 0, 1, 1, 1, 0, 0, 2, 0, 4, 2, 3, 4, 0, 1, 2, 3, 0, 1, 1, 3, 3, 3, 0, 3, 3, 0, 4, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 4, 1, 2, 3, 4, 1, 0, 1, 4, 0, 3, 4, 0, 0, 0, 3, 2, 3, 1, 2, 3, 1, 4] pubkeycol937 = [1, 2, 3, 4, 1, 2, 0, 4, 0, 0, 2, 1, 2, 4, 1, 1, 3, 3, 3, 1, 4, 1, 2, 4, 4, 2, 0, 3, 0, 2, 3, 1, 3, 4, 0, 4, 1, 0, 4, 0, 3, 2, 4, 4, 4, 4, 1, 3, 0, 1, 2, 1, 1, 4, 4, 3, 3, 4, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 3, 1, 4, 2, 4, 3, 3, 0, 0, 3, 2, 0, 2, 4, 4, 1, 4, 3, 4, 2, 0, 4, 1, 4, 1, 3, 0, 4, 4, 4, 2, 1, 0, 3, 2, 3, 1, 0, 1, 4, 4, 2, 0, 4, 1, 2, 1, 4, 3, 4, 3, 3, 3, 1, 1, 3, 2, 0, 4, 1, 4, 4, 0, 2, 0, 4, 1, 3, 3, 4, 1, 4, 3, 2, 0, 3, 1, 4, 2, 0, 3, 3, 0, 1, 0, 3, 3, 2, 3, 3, 1, 1, 4, 2, 0, 4, 4, 0, 0, 2, 4, 4, 1, 1, 3, 3, 0, 0, 2, 4, 2, 4, 2, 2, 1, 2, 2, 3, 1, 3, 1, 4, 2, 0, 1, 1, 1, 4, 1, 4, 1, 2, 0, 0, 0, 4, 4, 0, 1, 3, 0, 4, 2, 1, 0, 3, 1, 2, 4, 1, 0, 1, 2, 1, 0, 0, 2, 2, 4, 4, 4, 3, 3, 3, 1, 3, 2, 2, 0, 0, 3, 1, 4, 0, 0, 4, 2, 4, 0, 0, 4, 0, 3, 1, 4, 1, 1, 2, 4, 0, 2, 2, 2, 4, 0, 3, 1, 4, 3, 0, 3, 2, 2, 4, 2, 0, 2, 0, 1, 2, 2, 4, 3, 1, 1, 4, 0, 1, 0, 4, 3, 4, 3, 0, 1, 1, 3, 3, 3, 0, 2, 0, 1, 3, 0, 3, 1, 0, 4, 1, 1, 4, 4, 4, 0, 4, 0, 1, 1, 4, 4, 4, 0, 0, 0, 4, 2, 4, 0, 1, 4, 1, 0, 0, 2, 4, 2, 1, 2, 1, 0, 1, 2, 1, 4, 2, 1, 1, 3, 0, 0, 1, 4, 3, 3, 1, 3, 2, 3, 4, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 4, 1, 3, 3, 0, 1, 1, 4, 4, 2, 3, 0, 1, 1, 0, 2, 0, 0, 3, 1, 2, 4, 0, 0, 1, 2, 0, 4] pubkeycol938 = [0, 3, 3, 2, 4, 3, 0, 3, 4, 2, 0, 1, 4, 2, 4, 2, 3, 3, 4, 0, 3, 2, 3, 1, 1, 3, 4, 4, 4, 1, 3, 4, 3, 1, 3, 1, 4, 3, 1, 0, 0, 2, 0, 3, 2, 3, 4, 3, 2, 3, 3, 3, 3, 2, 1, 4, 2, 1, 3, 4, 0, 0, 3, 2, 2, 2, 4, 1, 4, 3, 1, 1, 1, 2, 4, 2, 0, 3, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 0, 1, 1, 0, 0, 4, 2, 0, 1, 4, 4, 2, 3, 0, 3, 3, 0, 0, 3, 4, 1, 1, 1, 2, 0, 4, 2, 4, 1, 2, 2, 2, 0, 2, 0, 4, 0, 4, 0, 2, 3, 2, 1, 3, 2, 0, 4, 0, 1, 1, 0, 4, 4, 2, 3, 4, 4, 2, 3, 1, 1, 0, 2, 2, 2, 3, 4, 2, 4, 0, 1, 0, 1, 1, 0, 4, 0, 0, 3, 1, 3, 3, 1, 3, 2, 0, 4, 3, 2, 3, 0, 1, 4, 1, 4, 0, 2, 3, 4, 0, 4, 1, 2, 3, 3, 3, 4, 1, 4, 1, 2, 2, 2, 4, 0, 2, 0, 3, 3, 0, 4, 3, 4, 0, 0, 3, 1, 3, 1, 4, 1, 4, 4, 4, 0, 3, 3, 2, 4, 0, 1, 0, 2, 3, 1, 1, 4, 3, 4, 1, 4, 1, 0, 4, 4, 3, 3, 4, 1, 1, 0, 4, 1, 0, 2, 1, 0, 1, 3, 2, 1, 2, 4, 0, 3, 4, 2, 4, 4, 3, 1, 4, 3, 3, 1, 0, 3, 1, 4, 1, 4, 2, 1, 2, 4, 3, 0, 3, 3, 3, 4, 3, 3, 4, 0, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 4, 3, 1, 3, 2, 3, 4, 3, 1, 1, 1, 1, 1, 0, 1, 3, 1, 3, 2, 3, 0, 3, 1, 4, 4, 3, 1, 0, 4, 3, 1, 1, 4, 2, 4, 4, 4, 3, 4, 1, 1, 4, 2, 1, 3, 3, 4, 0, 3, 3, 3, 3, 2, 3, 2, 4, 3, 1, 1, 3, 4, 2, 3, 2, 0, 4, 2, 1, 4, 2, 0, 4, 0, 2, 0, 4, 4, 1, 4, 0, 1, 4, 0, 1, 2, 1, 3, 4, 2, 3, 3, 4, 0, 0, 2, 0, 4] pubkeycol939 = [2, 2, 2, 3, 4, 4, 2, 2, 1, 1, 3, 0, 2, 0, 2, 0, 4, 4, 1, 0, 3, 0, 3, 2, 1, 4, 3, 1, 0, 1, 3, 1, 0, 3, 0, 2, 1, 1, 1, 4, 0, 2, 3, 3, 3, 1, 2, 4, 3, 1, 4, 4, 2, 3, 4, 2, 3, 2, 0, 2, 0, 3, 1, 2, 2, 3, 0, 1, 0, 3, 0, 3, 4, 1, 0, 1, 0, 1, 4, 4, 3, 2, 4, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 3, 2, 2, 4, 2, 4, 1, 3, 4, 0, 1, 2, 4, 3, 4, 0, 4, 4, 4, 4, 4, 1, 3, 2, 0, 1, 0, 1, 2, 0, 0, 1, 3, 3, 0, 2, 4, 2, 3, 3, 2, 0, 0, 1, 3, 3, 3, 1, 3, 1, 4, 2, 0, 4, 4, 1, 1, 0, 4, 2, 3, 4, 3, 2, 1, 4, 4, 2, 0, 3, 1, 2, 1, 1, 2, 3, 1, 2, 4, 4, 2, 3, 3, 3, 0, 2, 3, 2, 1, 0, 4, 2, 4, 4, 0, 4, 3, 4, 3, 3, 0, 1, 2, 2, 3, 4, 4, 1, 1, 3, 1, 2, 1, 1, 0, 3, 0, 0, 4, 2, 1, 2, 3, 1, 3, 1, 3, 0, 0, 2, 2, 1, 0, 4, 3, 3, 1, 2, 1, 3, 3, 1, 4, 3, 0, 4, 0, 0, 0, 0, 2, 1, 2, 1, 3, 3, 3, 1, 1, 3, 1, 4, 3, 3, 0, 0, 2, 1, 3, 3, 4, 0, 0, 3, 0, 3, 2, 3, 2, 3, 0, 2, 0, 2, 3, 3, 4, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 0, 3, 1, 2, 1, 0, 2, 2, 4, 4, 2, 4, 3, 1, 2, 3, 4, 2, 4, 4, 3, 2, 3, 2, 1, 1, 1, 4, 0, 2, 4, 0, 3, 3, 1, 4, 0, 4, 3, 1, 0, 0, 2, 2, 1, 2, 0, 2, 4, 0, 1, 3, 1, 3, 4, 1, 1, 2, 1, 2, 3, 4, 0, 3, 0, 3, 4, 0, 4, 0, 1, 1, 2, 2, 2, 1, 0, 0, 3, 0, 2, 1, 3, 2, 2, 1, 2, 4, 0, 2, 0, 3, 3, 2, 0, 3, 0, 1, 0, 0, 0, 2, 4, 1, 4, 2, 3, 2] pubkeycol940 = [0, 4, 2, 3, 2, 1, 2, 3, 3, 4, 1, 1, 3, 1, 1, 0, 2, 2, 2, 3, 3, 1, 1, 0, 3, 0, 1, 0, 1, 3, 0, 1, 2, 0, 0, 4, 1, 0, 2, 2, 4, 3, 0, 4, 2, 3, 4, 0, 1, 3, 2, 2, 0, 0, 3, 0, 1, 3, 4, 4, 1, 2, 4, 2, 0, 2, 1, 1, 0, 0, 4, 3, 3, 3, 3, 4, 1, 3, 0, 2, 4, 4, 3, 2, 2, 0, 4, 3, 4, 4, 3, 1, 0, 2, 3, 2, 1, 1, 0, 3, 2, 3, 0, 3, 0, 2, 4, 1, 3, 0, 1, 3, 0, 0, 4, 1, 1, 4, 1, 0, 1, 4, 0, 4, 2, 1, 0, 4, 1, 1, 2, 0, 2, 4, 0, 4, 1, 3, 4, 0, 4, 0, 0, 3, 3, 1, 2, 0, 0, 4, 2, 4, 1, 3, 2, 2, 4, 4, 2, 1, 2, 2, 1, 0, 3, 0, 2, 3, 3, 4, 2, 0, 0, 4, 2, 2, 0, 3, 3, 2, 0, 1, 3, 0, 4, 0, 3, 2, 0, 4, 1, 0, 3, 1, 1, 4, 1, 4, 2, 3, 2, 2, 2, 2, 4, 2, 2, 3, 2, 0, 1, 1, 3, 3, 4, 3, 2, 4, 1, 2, 2, 1, 1, 4, 2, 0, 2, 2, 1, 1, 3, 4, 1, 3, 2, 2, 2, 0, 0, 2, 1, 0, 4, 2, 0, 4, 3, 4, 3, 2, 0, 3, 4, 0, 3, 2, 2, 0, 3, 1, 4, 1, 3, 3, 3, 3, 0, 1, 3, 4, 3, 4, 2, 0, 2, 0, 0, 1, 4, 3, 2, 1, 4, 3, 4, 2, 1, 4, 0, 3, 2, 4, 2, 4, 0, 4, 3, 0, 3, 4, 3, 0, 0, 4, 2, 4, 1, 1, 0, 1, 1, 0, 0, 2, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 1, 4, 0, 3, 3, 2, 4, 1, 2, 2, 2, 3, 4, 0, 1, 0, 3, 3, 1, 0, 4, 3, 2, 4, 1, 1, 2, 1, 4, 2, 4, 4, 1, 0, 3, 1, 1, 3, 2, 4, 4, 4, 4, 0, 2, 2, 3, 3, 4, 1, 2, 3, 0, 4, 1, 4, 4, 3, 1, 1, 2, 2, 2, 4, 1, 4, 2, 3, 1, 0, 0, 2, 0] pubkeycol941 = [3, 2, 0, 4, 3, 4, 3, 3, 2, 3, 4, 2, 1, 4, 2, 2, 3, 1, 1, 3, 4, 0, 0, 3, 1, 0, 3, 2, 2, 0, 4, 3, 1, 1, 3, 1, 2, 4, 3, 0, 0, 1, 0, 3, 1, 4, 0, 3, 1, 4, 3, 0, 2, 2, 0, 4, 3, 0, 3, 2, 2, 0, 1, 2, 4, 2, 0, 4, 0, 0, 3, 2, 4, 1, 2, 1, 3, 1, 1, 0, 2, 1, 3, 4, 3, 0, 1, 3, 1, 3, 1, 2, 3, 2, 4, 0, 4, 0, 0, 3, 0, 1, 4, 4, 3, 1, 2, 2, 2, 3, 0, 0, 1, 3, 1, 4, 0, 4, 3, 4, 2, 3, 0, 3, 4, 0, 2, 2, 1, 2, 1, 0, 1, 3, 1, 2, 4, 2, 3, 2, 2, 2, 3, 1, 0, 1, 0, 0, 2, 1, 1, 4, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 3, 4, 1, 2, 1, 1, 2, 0, 2, 3, 0, 2, 3, 2, 0, 3, 4, 3, 0, 0, 0, 3, 1, 1, 1, 2, 1, 4, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 4, 4, 3, 0, 1, 1, 2, 1, 0, 3, 0, 1, 3, 1, 0, 3, 3, 3, 2, 2, 4, 1, 2, 4, 4, 3, 1, 1, 4, 1, 1, 1, 3, 2, 3, 4, 3, 4, 3, 4, 2, 2, 3, 1, 0, 0, 0, 0, 3, 1, 0, 2, 1, 0, 0, 0, 0, 3, 1, 3, 2, 0, 3, 3, 4, 3, 1, 4, 4, 3, 0, 2, 1, 0, 2, 4, 1, 4, 0, 4, 1, 2, 4, 4, 1, 1, 2, 1, 1, 2, 0, 3, 0, 2, 1, 1, 0, 2, 3, 3, 3, 2, 2, 2, 3, 2, 4, 2, 1, 0, 3, 1, 2, 3, 2, 0, 3, 2, 2, 3, 4, 1, 4, 2, 4, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 3, 3, 2, 0, 3, 2, 3, 0, 4, 1, 3, 2, 3, 3, 3, 0, 3, 3, 1, 2, 1, 4, 1, 4, 4, 1, 4, 3, 2, 0, 1, 4, 3, 1, 1, 4, 4, 2, 3, 2, 4, 3, 0, 4, 1, 2, 2, 3, 3, 0, 4, 0, 1, 4, 1, 1, 1, 2, 3, 2, 3] pubkeycol942 = [1, 2, 4, 2, 0, 3, 2, 4, 0, 3, 0, 2, 0, 1, 4, 0, 0, 2, 4, 3, 1, 2, 2, 3, 1, 4, 2, 2, 0, 4, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 4, 2, 0, 1, 3, 1, 1, 3, 3, 1, 3, 3, 4, 3, 0, 0, 0, 3, 4, 2, 4, 1, 1, 0, 4, 1, 1, 2, 3, 1, 3, 3, 2, 1, 2, 4, 0, 4, 4, 2, 4, 3, 3, 1, 0, 0, 2, 2, 3, 3, 1, 2, 1, 3, 4, 3, 0, 4, 1, 1, 1, 2, 3, 3, 4, 3, 1, 3, 2, 3, 0, 3, 4, 0, 1, 4, 2, 0, 0, 0, 1, 0, 3, 3, 2, 3, 4, 4, 1, 0, 2, 2, 4, 2, 0, 2, 2, 4, 2, 0, 4, 4, 4, 1, 4, 0, 1, 0, 2, 4, 3, 0, 1, 4, 2, 0, 4, 4, 2, 2, 0, 1, 2, 3, 4, 1, 3, 1, 0, 2, 3, 1, 2, 3, 0, 4, 2, 0, 3, 0, 0, 1, 0, 1, 1, 1, 3, 3, 0, 3, 1, 1, 2, 2, 4, 1, 1, 3, 4, 1, 1, 1, 1, 1, 3, 4, 1, 4, 4, 3, 3, 3, 2, 0, 0, 3, 4, 2, 4, 3, 1, 3, 2, 2, 2, 2, 4, 0, 4, 0, 0, 0, 2, 2, 1, 3, 4, 2, 0, 0, 4, 2, 0, 0, 0, 4, 1, 3, 0, 0, 4, 2, 4, 0, 3, 1, 0, 3, 2, 2, 4, 2, 3, 3, 2, 4, 3, 2, 0, 4, 0, 2, 2, 0, 0, 1, 3, 4, 3, 2, 1, 4, 1, 2, 3, 1, 0, 4, 2, 0, 0, 1, 0, 2, 1, 1, 1, 4, 0, 1, 0, 0, 3, 1, 3, 0, 4, 0, 3, 2, 0, 4, 2, 1, 2, 1, 4, 3, 1, 3, 4, 1, 0, 3, 4, 1, 4, 3, 0, 3, 2, 0, 0, 0, 3, 4, 2, 1, 1, 3, 3, 0, 3, 1, 1, 2, 1, 2, 0, 2, 0, 0, 4, 1, 3, 0, 2, 2, 4, 2, 2, 4, 4, 3, 2, 0, 3, 2, 0, 0, 3, 0, 2, 2, 2, 1, 4, 1, 4, 1, 2, 1, 0, 3, 3, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol943 = [1, 3, 0, 2, 3, 2, 2, 2, 1, 4, 3, 1, 2, 4, 0, 4, 1, 2, 0, 4, 0, 3, 4, 1, 0, 3, 3, 1, 2, 2, 0, 2, 2, 3, 3, 2, 2, 4, 1, 3, 2, 2, 4, 1, 1, 4, 4, 2, 2, 0, 3, 2, 4, 3, 2, 1, 2, 3, 0, 0, 0, 2, 4, 2, 0, 1, 2, 0, 4, 0, 0, 4, 3, 2, 4, 4, 3, 4, 1, 1, 4, 1, 2, 3, 2, 3, 4, 1, 0, 4, 2, 3, 1, 2, 3, 2, 3, 3, 0, 3, 2, 0, 0, 0, 0, 3, 4, 1, 2, 0, 4, 1, 4, 0, 1, 3, 2, 0, 1, 3, 0, 1, 2, 2, 0, 4, 4, 4, 2, 0, 3, 2, 3, 2, 2, 4, 1, 4, 2, 3, 3, 4, 1, 3, 0, 0, 4, 0, 1, 1, 0, 2, 4, 3, 1, 1, 2, 2, 3, 1, 3, 4, 0, 4, 4, 3, 3, 4, 4, 0, 4, 1, 2, 0, 4, 1, 4, 3, 3, 0, 1, 3, 1, 0, 0, 0, 2, 3, 3, 2, 2, 3, 3, 0, 3, 1, 0, 0, 3, 4, 1, 1, 0, 3, 2, 0, 2, 0, 3, 2, 2, 1, 3, 1, 0, 2, 0, 0, 3, 4, 3, 0, 3, 0, 0, 3, 1, 2, 4, 0, 1, 2, 0, 2, 1, 2, 4, 3, 3, 4, 1, 3, 4, 2, 1, 0, 1, 3, 1, 1, 0, 3, 4, 2, 1, 2, 4, 1, 4, 3, 2, 2, 2, 3, 3, 0, 2, 4, 1, 0, 0, 3, 3, 4, 2, 4, 3, 2, 4, 1, 2, 3, 2, 4, 3, 2, 4, 2, 2, 1, 0, 2, 1, 2, 3, 0, 1, 4, 1, 4, 2, 4, 3, 3, 4, 1, 3, 2, 0, 3, 1, 0, 0, 3, 4, 0, 0, 3, 3, 2, 1, 4, 2, 0, 0, 2, 3, 1, 1, 2, 0, 1, 3, 1, 0, 1, 2, 1, 0, 3, 3, 3, 4, 4, 0, 0, 4, 2, 1, 0, 1, 2, 2, 1, 3, 3, 4, 3, 2, 0, 2, 1, 4, 4, 3, 1, 4, 2, 0, 0, 3, 4, 4, 3, 0, 2, 3, 3, 3, 0, 0, 4, 4, 3, 0, 3, 3, 2, 2, 3, 1, 2, 0, 2, 3, 0, 4, 2, 2, 1] pubkeycol944 = [4, 0, 2, 1, 1, 1, 4, 3, 2, 3, 2, 4, 2, 0, 4, 0, 1, 0, 3, 4, 0, 0, 1, 4, 4, 3, 0, 2, 1, 1, 2, 0, 2, 2, 0, 4, 4, 0, 0, 0, 1, 4, 1, 3, 0, 0, 4, 4, 4, 2, 3, 2, 3, 3, 2, 1, 1, 3, 1, 4, 0, 4, 3, 3, 3, 4, 0, 0, 2, 4, 4, 2, 0, 3, 0, 3, 2, 0, 1, 4, 4, 2, 2, 3, 1, 0, 0, 3, 3, 1, 4, 1, 3, 1, 4, 3, 3, 2, 1, 4, 3, 1, 2, 0, 2, 2, 1, 2, 4, 2, 1, 0, 2, 3, 2, 0, 3, 2, 4, 0, 3, 0, 0, 4, 1, 1, 0, 1, 3, 4, 2, 0, 2, 1, 2, 3, 2, 3, 4, 0, 1, 3, 0, 1, 0, 3, 3, 4, 3, 0, 4, 3, 2, 0, 2, 0, 4, 0, 4, 3, 1, 0, 3, 0, 3, 3, 2, 2, 0, 4, 4, 4, 3, 2, 3, 2, 0, 3, 2, 4, 4, 4, 3, 1, 4, 1, 0, 1, 3, 0, 1, 3, 3, 4, 1, 4, 1, 2, 3, 3, 0, 1, 3, 3, 0, 4, 4, 4, 3, 3, 4, 3, 2, 3, 0, 1, 3, 1, 4, 3, 0, 1, 1, 4, 0, 4, 2, 1, 4, 2, 0, 3, 4, 4, 3, 3, 4, 2, 2, 0, 2, 3, 0, 1, 0, 3, 2, 4, 1, 2, 4, 1, 4, 4, 0, 2, 0, 2, 1, 4, 0, 3, 1, 4, 3, 3, 1, 2, 0, 0, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 2, 3, 2, 3, 2, 0, 3, 0, 1, 4, 2, 4, 3, 3, 3, 1, 3, 3, 2, 0, 1, 0, 1, 1, 4, 0, 1, 4, 1, 3, 3, 4, 3, 3, 4, 4, 2, 4, 0, 4, 1, 2, 1, 1, 3, 4, 0, 0, 2, 1, 3, 0, 1, 3, 3, 1, 4, 2, 1, 2, 2, 1, 2, 3, 0, 2, 3, 3, 1, 3, 0, 3, 3, 2, 0, 0, 0, 3, 2, 0, 2, 3, 0, 0, 4, 2, 0, 1, 1, 0, 3, 3, 2, 0, 0, 4, 1, 4, 1, 0, 3, 0, 4, 1, 3, 0, 0, 0, 4, 2, 2, 0, 0, 4, 0, 0, 1, 4, 1, 1] pubkeycol945 = [0, 3, 4, 1, 3, 4, 0, 1, 4, 1, 0, 2, 3, 4, 0, 1, 4, 1, 2, 3, 0, 3, 4, 2, 0, 4, 4, 1, 0, 3, 1, 3, 1, 2, 2, 0, 2, 4, 1, 3, 0, 4, 0, 1, 0, 1, 4, 2, 3, 4, 3, 1, 1, 1, 4, 4, 2, 4, 3, 3, 3, 3, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 4, 3, 0, 0, 0, 4, 1, 3, 1, 1, 0, 3, 2, 3, 4, 2, 4, 0, 0, 1, 3, 0, 0, 0, 0, 4, 0, 4, 0, 2, 3, 0, 3, 0, 4, 4, 0, 2, 3, 0, 2, 3, 2, 0, 3, 4, 3, 2, 2, 2, 2, 4, 3, 1, 3, 1, 3, 0, 1, 2, 0, 4, 2, 4, 3, 1, 0, 3, 1, 0, 3, 3, 4, 0, 1, 0, 4, 4, 3, 3, 3, 4, 2, 3, 1, 3, 0, 1, 0, 3, 4, 0, 4, 3, 4, 1, 3, 3, 2, 0, 0, 2, 0, 3, 0, 0, 3, 2, 4, 1, 3, 2, 0, 3, 4, 1, 1, 1, 4, 1, 3, 2, 0, 0, 2, 2, 0, 4, 0, 2, 0, 1, 0, 2, 3, 1, 2, 0, 1, 1, 3, 1, 2, 1, 3, 2, 1, 3, 4, 1, 2, 0, 1, 3, 2, 3, 3, 2, 3, 2, 1, 0, 4, 0, 3, 1, 2, 3, 4, 4, 3, 3, 1, 2, 2, 2, 4, 4, 2, 0, 0, 3, 4, 1, 2, 4, 3, 1, 0, 2, 1, 2, 1, 4, 3, 1, 1, 2, 3, 1, 0, 0, 1, 0, 1, 2, 1, 4, 3, 2, 3, 2, 3, 0, 0, 4, 0, 0, 3, 0, 4, 0, 1, 4, 0, 1, 0, 4, 2, 3, 1, 1, 4, 0, 1, 1, 3, 3, 4, 0, 0, 2, 4, 0, 3, 3, 1, 1, 2, 3, 3, 1, 2, 1, 4, 4, 2, 1, 4, 2, 0, 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, 3, 3, 2, 4, 3, 4, 3, 1, 4, 1, 0, 1, 2, 3, 4, 3, 0, 2, 4, 1, 0, 2, 2, 0, 3, 2, 2, 1, 0, 4, 1, 1, 0, 4, 0, 1, 4, 0, 1, 1, 3, 2, 1, 1, 4, 3, 4, 1, 3, 4, 3, 0, 2, 3, 1, 1, 4] pubkeycol946 = [3, 2, 0, 1, 2, 2, 2, 4, 0, 1, 0, 0, 4, 3, 1, 0, 0, 1, 3, 3, 4, 0, 0, 2, 4, 0, 1, 2, 2, 0, 3, 0, 4, 2, 1, 0, 2, 3, 3, 1, 2, 0, 2, 0, 1, 3, 1, 4, 3, 4, 1, 2, 4, 2, 1, 3, 0, 3, 0, 4, 2, 2, 0, 2, 4, 3, 1, 1, 4, 0, 0, 1, 2, 0, 2, 2, 4, 0, 2, 2, 1, 2, 4, 1, 1, 0, 3, 3, 3, 1, 3, 3, 1, 1, 0, 2, 0, 3, 2, 3, 3, 0, 1, 0, 0, 3, 4, 1, 2, 1, 1, 0, 1, 4, 2, 2, 3, 1, 0, 3, 2, 4, 1, 0, 2, 3, 0, 2, 1, 2, 2, 4, 2, 3, 0, 4, 3, 1, 4, 0, 4, 0, 3, 4, 0, 3, 0, 4, 3, 0, 4, 3, 3, 0, 1, 0, 4, 1, 1, 4, 0, 1, 0, 0, 4, 1, 4, 3, 4, 0, 4, 0, 4, 3, 4, 0, 2, 2, 0, 1, 3, 0, 1, 3, 1, 1, 2, 4, 1, 2, 2, 3, 1, 3, 0, 3, 0, 4, 3, 1, 0, 3, 3, 4, 0, 0, 4, 3, 1, 4, 1, 0, 0, 1, 2, 4, 4, 4, 3, 1, 2, 4, 4, 1, 3, 1, 1, 1, 0, 0, 1, 1, 3, 1, 4, 1, 4, 1, 4, 2, 0, 2, 3, 4, 3, 2, 4, 2, 2, 1, 3, 4, 0, 3, 2, 0, 2, 4, 2, 1, 3, 0, 1, 2, 1, 2, 2, 4, 3, 1, 3, 2, 4, 3, 3, 1, 3, 0, 2, 2, 4, 4, 3, 3, 3, 2, 3, 3, 2, 1, 4, 3, 4, 1, 4, 3, 3, 3, 1, 2, 1, 0, 0, 0, 3, 4, 4, 3, 3, 3, 0, 1, 3, 4, 2, 1, 0, 1, 3, 4, 2, 2, 1, 1, 4, 1, 0, 3, 1, 2, 4, 3, 1, 0, 3, 2, 2, 4, 1, 4, 3, 3, 1, 3, 3, 1, 4, 0, 2, 3, 1, 1, 4, 3, 1, 4, 1, 3, 0, 3, 4, 2, 2, 4, 3, 1, 2, 3, 3, 1, 2, 1, 0, 4, 0, 2, 0, 1, 1, 0, 4, 3, 4, 2, 3, 3, 4, 1, 0, 4, 3, 2, 1, 3, 1, 4, 4, 0, 1, 4] pubkeycol947 = [0, 1, 4, 0, 2, 0, 2, 4, 4, 3, 0, 2, 1, 4, 4, 1, 1, 0, 0, 0, 4, 1, 3, 3, 1, 3, 0, 3, 2, 4, 0, 4, 0, 0, 0, 3, 4, 1, 3, 2, 3, 3, 3, 0, 1, 4, 1, 2, 1, 1, 1, 2, 4, 1, 4, 1, 1, 3, 0, 1, 4, 4, 1, 4, 3, 2, 0, 0, 0, 1, 4, 1, 2, 4, 3, 4, 3, 2, 1, 3, 2, 4, 2, 4, 0, 0, 0, 1, 2, 2, 4, 4, 1, 0, 1, 3, 4, 3, 1, 4, 4, 1, 1, 1, 0, 2, 3, 1, 4, 4, 4, 4, 3, 4, 2, 0, 1, 2, 2, 1, 3, 3, 4, 2, 4, 0, 1, 1, 0, 4, 3, 4, 3, 4, 2, 0, 1, 3, 2, 1, 4, 4, 4, 0, 0, 3, 4, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 4, 4, 2, 0, 2, 1, 3, 0, 4, 3, 4, 3, 2, 3, 3, 1, 4, 0, 1, 4, 2, 3, 1, 4, 4, 0, 0, 4, 4, 4, 3, 0, 0, 4, 2, 3, 3, 3, 0, 0, 3, 3, 1, 2, 2, 2, 0, 3, 3, 2, 1, 0, 0, 2, 4, 0, 1, 4, 4, 3, 3, 1, 1, 3, 4, 0, 3, 2, 2, 1, 3, 4, 2, 0, 2, 2, 3, 2, 0, 3, 3, 2, 2, 1, 2, 4, 2, 2, 0, 4, 4, 1, 4, 0, 0, 4, 4, 1, 4, 2, 1, 2, 1, 3, 2, 2, 0, 3, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0, 1, 2, 2, 4, 1, 1, 2, 1, 1, 4, 2, 2, 4, 1, 3, 3, 4, 2, 4, 3, 2, 1, 0, 0, 1, 1, 4, 4, 2, 1, 1, 0, 0, 1, 2, 2, 4, 3, 3, 1, 4, 1, 0, 4, 2, 1, 4, 4, 0, 1, 1, 0, 3, 0, 0, 1, 0, 0, 1, 4, 2, 2, 2, 0, 1, 4, 4, 0, 2, 4, 2, 2, 2, 1, 3, 0, 1, 3, 1, 1, 3, 1, 0, 2, 0, 4, 1, 3, 4, 0, 4, 3, 4, 0, 2, 1, 1, 0, 2, 3, 2, 1, 4, 0, 1, 1, 0, 0, 2, 3, 3, 0, 1, 2, 3, 4] pubkeycol948 = [0, 4, 2, 2, 0, 4, 2, 0, 1, 0, 2, 0, 3, 2, 3, 3, 4, 2, 3, 3, 2, 2, 3, 0, 2, 0, 2, 1, 2, 4, 4, 4, 3, 3, 1, 0, 0, 0, 3, 3, 0, 4, 4, 1, 4, 0, 0, 1, 3, 3, 0, 2, 2, 3, 1, 0, 4, 0, 3, 0, 1, 3, 2, 4, 2, 4, 4, 0, 1, 3, 2, 0, 1, 0, 4, 0, 3, 2, 2, 1, 1, 1, 2, 3, 0, 2, 3, 1, 1, 3, 2, 2, 2, 4, 2, 3, 0, 4, 0, 1, 3, 1, 0, 4, 2, 1, 1, 3, 0, 4, 2, 2, 3, 2, 2, 2, 3, 0, 4, 1, 3, 4, 2, 2, 4, 4, 3, 1, 1, 4, 0, 2, 2, 1, 0, 3, 0, 2, 2, 4, 4, 2, 2, 3, 3, 1, 2, 2, 4, 0, 0, 2, 4, 2, 2, 2, 0, 1, 0, 0, 4, 4, 0, 1, 2, 3, 0, 3, 0, 2, 0, 4, 3, 1, 3, 0, 4, 4, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 4, 4, 1, 3, 1, 0, 4, 4, 1, 0, 0, 3, 0, 0, 0, 2, 1, 1, 4, 1, 0, 1, 0, 1, 3, 1, 3, 2, 3, 3, 4, 4, 4, 3, 1, 3, 1, 4, 3, 4, 0, 3, 4, 1, 3, 0, 2, 3, 2, 2, 4, 4, 4, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 3, 2, 0, 1, 2, 4, 4, 0, 0, 3, 4, 4, 0, 3, 3, 0, 3, 3, 4, 4, 0, 3, 2, 3, 1, 0, 4, 3, 2, 1, 0, 2, 3, 4, 4, 0, 4, 3, 1, 0, 3, 0, 1, 2, 0, 4, 0, 4, 1, 1, 3, 4, 3, 4, 2, 4, 1, 4, 2, 4, 0, 0, 3, 2, 4, 4, 4, 3, 1, 1, 1, 0, 0, 1, 0, 4, 0, 4, 3, 3, 3, 0, 3, 3, 2, 4, 4, 0, 1, 3, 3, 0, 2, 0, 4, 0, 1, 1, 2, 4, 0, 2, 1, 0, 1, 1, 1, 4, 2, 4, 4, 3, 2, 4, 1, 4, 3, 0, 4, 1, 3, 2, 2, 4, 1, 1, 3, 2, 1, 0, 1, 1, 0, 4, 3, 1, 4, 2, 2, 3, 3, 2, 0, 0, 0, 1] pubkeycol949 = [0, 2, 1, 1, 3, 2, 2, 0, 0, 1, 0, 1, 3, 4, 3, 2, 4, 3, 4, 4, 2, 0, 3, 2, 4, 3, 2, 2, 3, 0, 2, 4, 2, 3, 0, 4, 2, 3, 4, 2, 2, 3, 0, 2, 0, 1, 0, 1, 4, 1, 0, 4, 2, 4, 1, 0, 2, 3, 0, 0, 4, 1, 1, 4, 1, 1, 3, 3, 0, 3, 2, 3, 0, 1, 2, 0, 0, 0, 2, 4, 0, 4, 0, 2, 1, 0, 0, 3, 0, 3, 1, 0, 4, 1, 1, 0, 0, 3, 4, 1, 1, 3, 3, 1, 0, 1, 2, 1, 3, 3, 3, 1, 0, 3, 0, 0, 1, 3, 0, 2, 3, 2, 1, 2, 0, 1, 0, 4, 2, 4, 2, 1, 2, 3, 4, 4, 2, 3, 3, 2, 2, 0, 1, 2, 4, 3, 2, 2, 2, 4, 1, 1, 1, 2, 2, 4, 0, 1, 1, 2, 0, 0, 3, 0, 3, 4, 2, 1, 0, 4, 3, 3, 3, 4, 0, 3, 0, 3, 4, 2, 0, 1, 0, 3, 1, 3, 4, 4, 1, 3, 4, 1, 0, 3, 3, 1, 2, 4, 4, 2, 2, 2, 2, 4, 0, 3, 2, 2, 4, 1, 1, 2, 2, 2, 0, 0, 4, 0, 0, 3, 2, 4, 3, 1, 1, 0, 4, 0, 1, 0, 3, 2, 4, 1, 1, 4, 4, 4, 4, 1, 2, 1, 3, 2, 4, 3, 3, 4, 1, 2, 0, 4, 4, 0, 0, 1, 3, 1, 2, 1, 3, 0, 1, 2, 3, 3, 1, 2, 1, 4, 3, 3, 3, 0, 0, 3, 0, 1, 4, 3, 3, 0, 3, 2, 3, 1, 4, 2, 1, 0, 4, 1, 4, 1, 4, 0, 0, 4, 0, 0, 1, 1, 2, 4, 4, 0, 1, 1, 3, 0, 3, 4, 0, 4, 2, 2, 4, 1, 0, 3, 4, 1, 2, 2, 0, 2, 1, 2, 4, 2, 0, 2, 3, 4, 3, 4, 2, 2, 0, 2, 1, 3, 1, 1, 1, 2, 2, 1, 2, 4, 0, 4, 1, 4, 4, 4, 2, 4, 1, 2, 2, 2, 4, 1, 1, 3, 2, 2, 4, 1, 3, 2, 1, 4, 4, 3, 3, 2, 0, 1, 0, 1, 2, 3, 0, 0, 1, 3, 3, 2, 4, 0, 1, 4, 1, 0, 1, 1, 4, 3] pubkeycol950 = [3, 1, 3, 0, 2, 0, 4, 0, 2, 4, 1, 3, 1, 3, 3, 2, 2, 0, 3, 1, 4, 3, 2, 1, 4, 4, 2, 4, 2, 2, 0, 4, 4, 4, 2, 3, 0, 4, 0, 0, 4, 3, 4, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 3, 4, 0, 4, 2, 2, 0, 0, 4, 4, 0, 0, 3, 0, 2, 0, 4, 4, 1, 4, 0, 0, 1, 3, 0, 2, 3, 0, 1, 2, 1, 3, 3, 4, 0, 3, 4, 0, 1, 3, 2, 3, 2, 1, 0, 1, 4, 1, 3, 0, 1, 3, 4, 2, 0, 3, 2, 2, 3, 3, 0, 2, 3, 0, 1, 3, 3, 2, 1, 0, 1, 1, 0, 1, 0, 2, 3, 2, 2, 4, 2, 0, 2, 0, 4, 3, 2, 3, 0, 0, 2, 2, 2, 1, 3, 3, 4, 3, 0, 3, 4, 1, 3, 1, 2, 0, 3, 3, 3, 2, 3, 1, 1, 1, 2, 4, 1, 0, 1, 2, 1, 1, 0, 3, 0, 2, 3, 3, 4, 0, 3, 3, 3, 3, 4, 3, 2, 2, 1, 0, 3, 4, 0, 1, 1, 0, 0, 4, 0, 3, 3, 3, 1, 2, 0, 4, 4, 3, 2, 1, 2, 3, 0, 3, 3, 2, 3, 4, 4, 2, 2, 4, 0, 0, 2, 3, 0, 4, 0, 3, 3, 3, 1, 3, 2, 1, 0, 4, 0, 2, 3, 4, 0, 4, 2, 1, 4, 4, 3, 2, 3, 1, 0, 3, 3, 3, 0, 1, 1, 2, 4, 3, 3, 3, 1, 2, 2, 0, 2, 4, 1, 0, 1, 2, 3, 3, 0, 4, 2, 2, 3, 0, 2, 1, 0, 2, 2, 2, 4, 2, 2, 4, 1, 3, 0, 0, 1, 3, 1, 2, 3, 4, 3, 1, 0, 1, 0, 0, 0, 2, 1, 3, 1, 1, 2, 3, 1, 3, 2, 0, 3, 3, 3, 3, 2, 1, 3, 4, 1, 3, 0, 4, 2, 1, 4, 1, 1, 4, 3, 0, 1, 2, 3, 3, 4, 3, 2, 3, 4, 1, 3, 3, 2, 2, 1, 3, 2, 4, 1, 0, 4, 1, 4, 2, 0, 4, 3, 4, 4, 3, 3, 0, 2, 4, 1, 2, 1, 2, 4, 0, 3, 2, 2, 4, 3, 2, 4, 4, 1, 3, 4, 0, 2, 2, 4, 4, 0] pubkeycol951 = [1, 0, 2, 2, 4, 0, 4, 1, 2, 3, 3, 2, 1, 2, 1, 2, 0, 3, 3, 1, 0, 4, 1, 3, 2, 4, 1, 0, 4, 4, 0, 3, 2, 4, 3, 3, 3, 1, 1, 2, 2, 3, 4, 2, 4, 4, 3, 2, 3, 0, 3, 4, 1, 4, 4, 2, 3, 1, 3, 1, 2, 4, 1, 3, 0, 1, 4, 4, 4, 3, 2, 4, 2, 3, 3, 1, 0, 3, 4, 1, 3, 4, 2, 3, 2, 2, 1, 2, 1, 4, 3, 2, 0, 0, 0, 4, 2, 0, 3, 1, 4, 3, 1, 3, 0, 0, 0, 1, 0, 2, 1, 4, 1, 0, 3, 3, 0, 3, 1, 3, 0, 4, 0, 0, 3, 4, 1, 0, 4, 4, 2, 2, 0, 1, 4, 3, 3, 0, 0, 2, 4, 4, 2, 0, 4, 1, 1, 2, 2, 3, 1, 1, 1, 2, 1, 0, 2, 1, 1, 4, 4, 3, 2, 1, 1, 1, 3, 1, 2, 4, 4, 0, 4, 0, 2, 2, 2, 0, 1, 2, 1, 4, 2, 1, 1, 4, 4, 2, 3, 3, 2, 3, 3, 4, 3, 0, 2, 4, 4, 2, 0, 3, 4, 3, 2, 3, 4, 1, 1, 4, 2, 3, 1, 0, 4, 0, 1, 0, 2, 2, 3, 3, 4, 3, 0, 3, 0, 2, 0, 2, 1, 4, 4, 2, 4, 1, 3, 0, 3, 2, 3, 0, 0, 2, 1, 3, 1, 3, 4, 0, 4, 2, 0, 0, 1, 1, 3, 4, 2, 1, 1, 3, 0, 1, 3, 4, 4, 4, 1, 4, 4, 1, 0, 1, 0, 1, 2, 3, 0, 3, 1, 4, 4, 1, 1, 3, 3, 3, 3, 0, 3, 1, 3, 4, 3, 0, 2, 3, 4, 3, 2, 0, 0, 2, 3, 4, 1, 1, 4, 3, 3, 2, 1, 2, 3, 3, 1, 0, 1, 3, 4, 3, 2, 4, 2, 1, 0, 0, 3, 4, 2, 3, 1, 2, 1, 1, 1, 1, 0, 4, 1, 3, 2, 3, 4, 3, 4, 4, 0, 2, 3, 4, 0, 4, 1, 4, 0, 2, 1, 1, 1, 2, 0, 3, 2, 0, 2, 0, 0, 1, 4, 4, 3, 2, 2, 0, 1, 2, 3, 1, 0, 3, 1, 4, 1, 3, 0, 2, 1, 3, 1, 4, 1, 4, 2, 2, 2, 4, 0, 1] pubkeycol952 = [0, 1, 1, 2, 4, 3, 3, 4, 4, 0, 2, 0, 4, 3, 1, 0, 1, 0, 1, 0, 0, 2, 2, 4, 1, 1, 1, 1, 0, 3, 0, 0, 4, 1, 0, 0, 2, 3, 3, 3, 3, 2, 0, 1, 1, 1, 4, 4, 1, 2, 1, 0, 1, 3, 0, 2, 3, 4, 1, 0, 1, 1, 4, 1, 4, 1, 4, 4, 0, 4, 3, 1, 0, 3, 1, 2, 4, 3, 3, 1, 3, 1, 2, 4, 1, 0, 0, 0, 4, 1, 0, 1, 4, 1, 1, 0, 3, 1, 3, 3, 1, 4, 1, 0, 4, 1, 1, 4, 0, 3, 3, 2, 2, 3, 1, 3, 0, 2, 0, 1, 2, 3, 0, 2, 1, 2, 3, 2, 4, 3, 1, 0, 2, 0, 0, 2, 4, 4, 4, 0, 1, 3, 3, 0, 1, 1, 4, 1, 2, 0, 4, 1, 1, 4, 1, 0, 4, 2, 0, 1, 3, 0, 2, 3, 2, 4, 1, 2, 0, 0, 3, 1, 4, 4, 4, 2, 1, 3, 4, 2, 1, 4, 0, 3, 4, 2, 1, 4, 2, 3, 0, 2, 3, 0, 1, 3, 3, 4, 1, 4, 1, 3, 2, 0, 0, 4, 3, 1, 1, 3, 0, 2, 0, 4, 0, 2, 3, 0, 1, 4, 2, 2, 0, 0, 3, 0, 0, 0, 2, 3, 1, 1, 1, 4, 2, 2, 0, 2, 2, 4, 4, 4, 0, 4, 2, 2, 1, 0, 3, 0, 2, 3, 2, 4, 4, 4, 4, 3, 2, 4, 3, 1, 4, 3, 0, 1, 2, 0, 4, 1, 3, 3, 1, 0, 2, 4, 1, 1, 4, 0, 0, 1, 1, 4, 1, 0, 4, 0, 2, 3, 3, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 4, 2, 0, 2, 0, 3, 3, 2, 0, 3, 1, 0, 4, 3, 1, 0, 2, 1, 3, 1, 0, 1, 1, 4, 1, 3, 2, 0, 4, 4, 0, 3, 0, 2, 4, 2, 1, 4, 2, 0, 0, 2, 3, 3, 3, 2, 4, 3, 1, 4, 4, 1, 1, 1, 0, 1, 0, 1, 3, 1, 0, 2, 1, 4, 3, 0, 1, 4, 1, 1, 4, 3, 3, 3, 0, 2, 3, 4, 2, 1, 3, 3, 4, 2, 0, 0, 0, 2, 4, 3, 2, 1, 3, 0, 0, 0] pubkeycol953 = [0, 0, 0, 0, 2, 3, 2, 0, 2, 3, 2, 3, 3, 4, 4, 0, 0, 3, 2, 4, 2, 0, 3, 0, 1, 1, 0, 0, 2, 2, 0, 3, 2, 4, 0, 2, 0, 0, 4, 4, 4, 0, 4, 3, 4, 0, 4, 2, 0, 4, 3, 2, 1, 4, 0, 4, 3, 3, 3, 3, 0, 1, 3, 1, 2, 4, 4, 4, 1, 2, 4, 1, 2, 1, 4, 3, 0, 0, 4, 1, 4, 4, 1, 0, 2, 1, 0, 4, 1, 1, 1, 2, 3, 0, 4, 0, 1, 0, 1, 2, 0, 3, 1, 0, 2, 2, 2, 0, 1, 2, 3, 1, 4, 1, 4, 2, 1, 0, 3, 1, 4, 4, 1, 1, 3, 4, 1, 1, 3, 3, 3, 4, 2, 1, 0, 1, 3, 0, 2, 4, 0, 4, 0, 4, 4, 1, 1, 4, 3, 4, 2, 1, 2, 3, 1, 3, 1, 0, 4, 4, 4, 3, 2, 0, 0, 2, 1, 1, 4, 4, 2, 1, 0, 0, 0, 1, 2, 4, 2, 4, 0, 3, 0, 0, 1, 0, 1, 3, 0, 4, 1, 4, 3, 2, 4, 0, 4, 4, 3, 3, 3, 3, 2, 4, 3, 0, 0, 0, 1, 3, 2, 0, 0, 1, 0, 4, 3, 4, 2, 3, 2, 2, 1, 2, 4, 4, 0, 4, 4, 1, 0, 4, 1, 0, 3, 1, 4, 4, 0, 3, 3, 4, 1, 0, 0, 3, 1, 0, 2, 1, 2, 3, 4, 1, 0, 1, 3, 1, 1, 4, 2, 0, 2, 1, 4, 4, 0, 4, 2, 0, 4, 1, 3, 2, 4, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 0, 0, 4, 1, 2, 3, 4, 4, 1, 0, 1, 2, 2, 4, 2, 4, 3, 0, 2, 3, 1, 0, 4, 1, 4, 1, 2, 4, 2, 0, 2, 0, 4, 0, 3, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 3, 3, 3, 0, 3, 3, 1, 0, 1, 1, 2, 1, 0, 4, 4, 0, 4, 3, 4, 3, 2, 0, 4, 4, 2, 2, 4, 3, 4, 0, 1, 3, 0, 0, 2, 0, 2, 3, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol954 = [1, 0, 4, 1, 3, 0, 2, 3, 4, 3, 2, 3, 0, 3, 0, 0, 2, 1, 3, 0, 0, 1, 0, 3, 4, 4, 2, 2, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 4, 3, 2, 2, 3, 1, 3, 2, 1, 0, 4, 2, 1, 3, 4, 0, 2, 4, 3, 0, 1, 1, 3, 1, 4, 2, 1, 3, 2, 3, 0, 1, 2, 2, 3, 2, 1, 2, 2, 4, 3, 3, 3, 2, 1, 3, 3, 0, 3, 3, 4, 2, 2, 1, 1, 2, 3, 3, 1, 3, 1, 3, 4, 4, 3, 2, 4, 0, 1, 2, 0, 3, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 0, 0, 2, 3, 3, 3, 4, 3, 0, 1, 3, 3, 1, 2, 3, 2, 2, 2, 0, 0, 0, 3, 0, 0, 3, 0, 4, 1, 0, 1, 4, 1, 2, 3, 4, 4, 3, 4, 4, 0, 0, 4, 4, 1, 1, 4, 1, 2, 4, 0, 1, 3, 2, 4, 4, 0, 2, 4, 4, 1, 3, 0, 2, 3, 0, 4, 0, 1, 1, 2, 0, 4, 1, 0, 4, 0, 0, 4, 4, 3, 0, 4, 0, 0, 0, 4, 1, 2, 2, 4, 1, 0, 1, 0, 3, 2, 2, 0, 4, 0, 4, 1, 3, 0, 2, 2, 2, 3, 3, 0, 3, 1, 2, 0, 1, 4, 0, 3, 0, 0, 4, 0, 3, 2, 3, 4, 1, 1, 3, 1, 0, 1, 3, 1, 2, 0, 1, 3, 4, 3, 1, 3, 0, 3, 4, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 4, 0, 3, 0, 0, 0, 0, 3, 3, 4, 2, 0, 3, 0, 4, 3, 2, 1, 2, 4, 4, 3, 4, 1, 0, 3, 2, 1, 0, 1, 0, 3, 2, 4, 3, 2, 4, 0, 3, 4, 1, 2, 2, 4, 2, 4, 1, 4, 2, 1, 4, 3, 4, 4, 4, 3, 2, 0, 4, 4, 4, 1, 3, 1, 2, 0, 0, 3, 3, 4, 3, 2, 2, 4, 3, 0, 2, 3, 4, 2, 0, 4, 3, 2, 4, 3, 4, 1, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 4, 2, 3, 2, 1, 4, 3, 0, 2, 0, 2, 3, 0, 1, 4, 3, 1, 2, 0, 2, 1, 3, 2, 4] pubkeycol955 = [0, 1, 4, 3, 4, 4, 0, 4, 3, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 3, 0, 1, 0, 0, 3, 4, 3, 4, 0, 0, 1, 3, 4, 0, 0, 0, 3, 4, 1, 2, 1, 4, 4, 3, 3, 2, 0, 3, 3, 3, 3, 1, 4, 4, 2, 1, 4, 3, 0, 1, 1, 3, 1, 0, 3, 1, 2, 4, 2, 0, 1, 3, 3, 2, 1, 4, 3, 4, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 4, 4, 4, 2, 1, 3, 0, 0, 0, 3, 4, 2, 0, 3, 4, 2, 1, 0, 4, 1, 3, 1, 4, 0, 2, 0, 3, 0, 4, 4, 2, 3, 2, 4, 0, 3, 4, 0, 2, 1, 4, 2, 3, 2, 1, 4, 0, 1, 2, 0, 0, 2, 2, 2, 4, 0, 3, 2, 0, 0, 1, 4, 4, 1, 4, 4, 1, 1, 3, 2, 3, 4, 3, 3, 0, 2, 3, 2, 2, 3, 2, 4, 1, 3, 3, 0, 0, 4, 2, 3, 2, 4, 1, 0, 4, 2, 4, 2, 0, 3, 2, 4, 1, 3, 3, 2, 0, 3, 4, 3, 2, 3, 1, 1, 0, 1, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 2, 1, 3, 1, 0, 3, 0, 1, 3, 3, 1, 3, 3, 0, 1, 3, 3, 3, 3, 2, 0, 4, 4, 3, 0, 3, 0, 1, 3, 1, 4, 4, 0, 1, 2, 3, 2, 3, 4, 0, 0, 1, 1, 4, 4, 0, 4, 3, 4, 2, 4, 4, 0, 1, 0, 4, 2, 2, 0, 0, 3, 4, 0, 0, 4, 1, 1, 1, 0, 0, 1, 4, 0, 1, 0, 3, 2, 1, 3, 0, 1, 1, 1, 2, 1, 3, 4, 0, 4, 2, 0, 1, 1, 3, 1, 4, 2, 0, 2, 3, 3, 3, 4, 3, 4, 0, 1, 2, 0, 4, 1, 4, 1, 0, 3, 0, 2, 4, 2, 2, 2, 0, 0, 2, 3, 4, 2, 3, 4, 0, 4, 4, 3, 4, 0, 2, 2, 4, 1, 2, 3, 2, 0, 3, 0, 2, 4, 1, 1, 0, 2, 1, 2, 0, 1, 3, 0, 3, 4, 1, 1, 1, 4, 2, 3, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 4, 2, 1, 2, 1, 4, 4, 2, 4, 4] pubkeycol956 = [2, 3, 0, 4, 0, 1, 2, 4, 4, 3, 1, 4, 3, 2, 2, 2, 3, 4, 2, 0, 2, 0, 1, 2, 3, 4, 3, 1, 1, 3, 1, 3, 0, 2, 2, 2, 4, 4, 0, 2, 3, 3, 0, 1, 2, 3, 1, 3, 4, 4, 4, 1, 0, 2, 0, 3, 2, 4, 1, 2, 3, 3, 0, 3, 3, 0, 0, 1, 4, 1, 4, 1, 0, 4, 0, 4, 1, 3, 3, 4, 3, 4, 1, 0, 3, 3, 2, 3, 3, 2, 2, 1, 3, 0, 0, 1, 0, 2, 0, 0, 4, 2, 4, 3, 4, 3, 4, 2, 0, 4, 2, 2, 3, 2, 0, 2, 3, 4, 0, 1, 0, 0, 3, 3, 4, 3, 3, 1, 4, 4, 1, 2, 4, 4, 3, 4, 4, 3, 4, 0, 4, 3, 4, 2, 4, 0, 0, 2, 2, 4, 0, 1, 2, 1, 4, 4, 0, 1, 4, 1, 3, 0, 2, 3, 0, 1, 4, 2, 3, 2, 4, 0, 3, 3, 1, 3, 3, 2, 3, 4, 4, 4, 3, 4, 0, 0, 3, 2, 3, 0, 0, 0, 4, 4, 0, 4, 3, 3, 0, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 0, 4, 2, 4, 3, 2, 4, 3, 1, 3, 4, 0, 4, 3, 2, 4, 0, 3, 1, 2, 4, 2, 2, 0, 0, 3, 1, 1, 1, 3, 0, 2, 3, 4, 2, 0, 1, 3, 1, 2, 1, 1, 4, 3, 4, 1, 2, 0, 4, 2, 2, 0, 0, 3, 3, 2, 3, 4, 3, 1, 2, 4, 4, 1, 4, 4, 4, 3, 1, 4, 3, 0, 0, 1, 0, 2, 2, 0, 2, 1, 4, 4, 4, 1, 1, 2, 2, 0, 1, 2, 0, 1, 4, 1, 3, 2, 1, 4, 3, 4, 4, 4, 0, 4, 3, 4, 3, 3, 0, 2, 4, 4, 1, 1, 3, 4, 2, 4, 0, 4, 4, 0, 4, 2, 1, 0, 2, 1, 3, 3, 3, 1, 0, 3, 3, 2, 1, 0, 1, 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 4, 2, 4, 1, 1, 3, 2, 4, 0, 0, 2, 3, 1, 2, 4, 3, 0, 3, 1, 4, 1, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 3, 2, 4, 2, 1, 4, 3, 0, 3, 0, 0] pubkeycol957 = [0, 3, 3, 1, 0, 1, 2, 1, 0, 2, 3, 1, 1, 3, 4, 0, 0, 0, 3, 4, 1, 1, 4, 0, 4, 4, 2, 1, 0, 2, 2, 2, 2, 3, 2, 3, 3, 4, 0, 1, 4, 3, 0, 0, 0, 1, 2, 2, 4, 4, 2, 1, 1, 3, 3, 2, 0, 3, 2, 4, 4, 3, 2, 3, 3, 2, 2, 3, 4, 0, 2, 0, 3, 2, 1, 2, 1, 0, 4, 4, 4, 0, 2, 1, 0, 4, 4, 1, 0, 0, 3, 1, 0, 4, 0, 1, 1, 1, 0, 2, 0, 0, 2, 4, 0, 2, 0, 2, 2, 0, 0, 4, 1, 4, 0, 4, 4, 4, 2, 2, 3, 0, 4, 4, 2, 3, 3, 4, 3, 0, 4, 4, 0, 0, 4, 2, 1, 0, 4, 2, 3, 4, 4, 4, 1, 4, 2, 4, 4, 1, 2, 2, 0, 3, 3, 3, 1, 3, 0, 1, 1, 4, 4, 4, 3, 1, 4, 0, 4, 3, 4, 3, 4, 2, 0, 3, 4, 0, 3, 3, 3, 1, 1, 3, 1, 3, 4, 2, 3, 4, 0, 1, 4, 2, 3, 0, 0, 1, 0, 0, 4, 2, 1, 4, 1, 4, 2, 1, 2, 3, 2, 2, 0, 2, 4, 1, 0, 3, 0, 4, 3, 2, 0, 2, 1, 2, 4, 1, 3, 1, 1, 4, 3, 0, 4, 4, 0, 2, 4, 1, 2, 2, 0, 0, 3, 2, 2, 3, 2, 3, 3, 1, 2, 4, 0, 0, 1, 2, 3, 0, 3, 0, 1, 1, 3, 4, 0, 1, 1, 2, 4, 2, 2, 0, 4, 3, 2, 4, 3, 0, 1, 3, 0, 0, 3, 4, 3, 1, 2, 3, 2, 1, 3, 3, 2, 1, 3, 1, 0, 2, 0, 1, 2, 3, 1, 2, 1, 2, 1, 4, 2, 0, 4, 2, 0, 3, 3, 3, 0, 2, 0, 1, 2, 2, 2, 0, 4, 1, 0, 1, 1, 2, 1, 0, 2, 0, 3, 2, 4, 3, 3, 0, 0, 4, 1, 3, 1, 4, 2, 2, 3, 0, 4, 2, 3, 2, 0, 4, 3, 2, 2, 3, 0, 0, 3, 1, 1, 0, 1, 1, 1, 1, 1, 3, 2, 4, 3, 3, 1, 3, 1, 1, 3, 3, 3, 1, 3, 2, 2, 2, 2, 1, 4, 4, 1, 2, 4, 2, 0, 2] pubkeycol958 = [2, 4, 4, 1, 2, 4, 4, 1, 3, 0, 3, 3, 0, 3, 0, 2, 1, 2, 0, 4, 3, 3, 2, 3, 3, 3, 2, 0, 0, 4, 2, 4, 0, 3, 4, 2, 4, 4, 1, 4, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 4, 3, 0, 0, 4, 2, 4, 4, 4, 1, 3, 3, 3, 3, 2, 4, 4, 3, 4, 2, 2, 0, 0, 3, 1, 0, 1, 4, 0, 1, 2, 3, 0, 3, 4, 3, 1, 0, 3, 1, 0, 2, 2, 3, 2, 1, 1, 2, 0, 1, 1, 4, 1, 2, 3, 2, 0, 0, 2, 3, 0, 3, 4, 4, 0, 3, 2, 3, 4, 3, 4, 2, 4, 0, 4, 4, 0, 0, 4, 2, 0, 2, 4, 1, 4, 4, 1, 1, 1, 1, 4, 4, 4, 2, 1, 0, 2, 4, 2, 1, 3, 4, 3, 2, 3, 3, 4, 4, 2, 2, 2, 0, 4, 1, 1, 1, 2, 0, 0, 0, 2, 3, 2, 3, 4, 2, 2, 2, 0, 2, 4, 4, 3, 0, 3, 2, 0, 1, 2, 4, 0, 0, 4, 2, 1, 4, 3, 2, 4, 4, 4, 1, 2, 0, 4, 1, 3, 4, 3, 4, 2, 3, 0, 3, 3, 4, 1, 1, 3, 1, 2, 3, 0, 4, 1, 0, 3, 0, 0, 0, 1, 2, 4, 3, 4, 0, 2, 1, 1, 1, 0, 0, 1, 2, 4, 4, 2, 4, 1, 0, 4, 0, 3, 4, 1, 0, 1, 3, 4, 0, 1, 3, 1, 4, 3, 3, 4, 1, 2, 2, 3, 4, 1, 1, 1, 4, 1, 3, 2, 4, 4, 4, 2, 0, 0, 0, 3, 4, 1, 1, 4, 4, 0, 4, 0, 3, 3, 4, 4, 3, 0, 0, 2, 2, 4, 1, 3, 1, 2, 1, 4, 0, 4, 3, 2, 1, 3, 3, 2, 4, 1, 1, 0, 3, 4, 4, 3, 4, 4, 0, 1, 0, 4, 1, 3, 4, 4, 1, 2, 4, 1, 3, 2, 2, 2, 2, 2, 0, 3, 1, 1, 2, 0, 0, 4, 4, 3, 1, 1, 2, 3, 2, 3, 2, 1, 3, 0, 3, 2, 4, 2, 4, 2, 4, 3, 3, 1, 4, 3, 4, 3, 4, 0, 4, 4, 1, 1, 1, 2, 3, 3, 2, 0, 4, 1, 2, 3] pubkeycol959 = [0, 4, 1, 0, 3, 3, 2, 4, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 3, 0, 4, 1, 2, 2, 4, 1, 0, 0, 2, 0, 2, 3, 4, 1, 2, 4, 0, 4, 0, 4, 4, 2, 0, 1, 0, 2, 0, 2, 4, 1, 0, 3, 3, 2, 0, 2, 3, 1, 2, 4, 3, 2, 4, 1, 4, 0, 4, 1, 2, 1, 0, 2, 3, 3, 1, 3, 3, 1, 3, 0, 3, 0, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 2, 1, 2, 2, 3, 2, 2, 0, 3, 0, 2, 3, 3, 1, 4, 1, 4, 4, 1, 2, 4, 4, 2, 4, 3, 1, 3, 2, 2, 2, 3, 4, 0, 2, 0, 0, 0, 4, 1, 2, 4, 2, 3, 0, 2, 1, 4, 0, 0, 1, 3, 2, 3, 4, 2, 0, 1, 3, 2, 4, 4, 4, 2, 1, 1, 1, 0, 0, 1, 1, 0, 3, 1, 2, 3, 4, 1, 4, 1, 0, 1, 2, 0, 1, 0, 4, 4, 0, 0, 0, 2, 2, 2, 4, 0, 2, 3, 2, 0, 4, 1, 2, 0, 2, 0, 0, 1, 0, 1, 4, 3, 2, 1, 0, 2, 0, 2, 1, 3, 0, 1, 1, 3, 3, 1, 0, 0, 2, 4, 4, 3, 0, 4, 4, 0, 3, 2, 3, 0, 1, 1, 1, 0, 1, 4, 2, 1, 2, 2, 1, 0, 2, 2, 4, 4, 0, 0, 2, 3, 1, 0, 1, 2, 4, 2, 2, 3, 2, 1, 2, 1, 0, 2, 3, 3, 0, 4, 3, 3, 4, 1, 3, 0, 0, 4, 1, 3, 1, 0, 2, 4, 1, 2, 1, 4, 1, 4, 4, 4, 0, 1, 3, 2, 3, 0, 1, 1, 2, 1, 3, 0, 4, 4, 1, 2, 2, 0, 2, 0, 4, 4, 1, 0, 2, 4, 3, 1, 2, 4, 2, 2, 4, 4, 3, 4, 0, 4, 2, 3, 4, 4, 4, 0, 3, 1, 1, 0, 2, 4, 4, 2, 2, 4, 1, 4, 4, 1, 4, 1, 1, 1, 1, 3, 3, 4, 4, 3, 3, 4, 1, 0, 2, 0, 2, 4, 1, 1, 3, 2, 0, 3, 3, 0, 1, 4, 4, 0, 0, 2, 3, 2, 2, 0, 2, 3, 4, 4, 1, 2, 2, 1, 1, 4, 3, 4, 0, 2, 0] pubkeycol960 = [4, 1, 0, 1, 4, 4, 2, 3, 0, 1, 0, 2, 4, 4, 4, 1, 1, 1, 3, 2, 4, 1, 1, 3, 4, 1, 2, 1, 2, 3, 4, 0, 1, 3, 4, 0, 4, 2, 0, 3, 0, 4, 4, 3, 4, 4, 3, 1, 2, 3, 3, 3, 3, 0, 4, 2, 2, 0, 3, 1, 1, 4, 0, 2, 3, 1, 4, 1, 3, 3, 1, 4, 3, 3, 3, 2, 4, 4, 1, 1, 4, 0, 3, 2, 4, 4, 2, 1, 3, 1, 1, 1, 4, 0, 3, 3, 2, 3, 2, 1, 3, 3, 0, 4, 4, 1, 2, 3, 0, 3, 2, 0, 0, 1, 4, 4, 1, 3, 0, 2, 4, 4, 3, 3, 4, 4, 0, 3, 0, 1, 0, 4, 1, 0, 2, 4, 2, 1, 3, 4, 1, 4, 4, 3, 3, 2, 4, 4, 1, 0, 3, 1, 0, 0, 3, 3, 0, 3, 0, 2, 3, 3, 4, 3, 4, 2, 4, 1, 4, 3, 2, 2, 0, 2, 2, 2, 4, 0, 0, 0, 4, 4, 0, 4, 1, 3, 0, 0, 2, 1, 3, 1, 3, 0, 4, 1, 3, 0, 4, 3, 3, 2, 1, 2, 4, 0, 3, 2, 1, 1, 1, 2, 1, 4, 0, 2, 2, 2, 4, 3, 4, 2, 3, 0, 2, 3, 0, 1, 4, 0, 4, 0, 2, 4, 4, 1, 0, 1, 1, 0, 0, 4, 1, 0, 0, 1, 4, 2, 3, 0, 2, 4, 3, 2, 1, 2, 3, 1, 3, 3, 2, 1, 4, 3, 0, 2, 4, 4, 1, 3, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 3, 2, 4, 2, 4, 1, 3, 3, 1, 3, 3, 3, 0, 4, 1, 2, 0, 1, 4, 4, 0, 4, 3, 2, 1, 0, 1, 0, 0, 2, 4, 1, 4, 2, 2, 3, 2, 2, 0, 4, 4, 0, 2, 1, 3, 1, 0, 0, 1, 2, 1, 2, 2, 2, 4, 3, 3, 4, 2, 4, 4, 4, 0, 3, 3, 3, 1, 4, 3, 0, 3, 4, 3, 2, 4, 0, 2, 1, 1, 4, 0, 0, 0, 4, 1, 1, 3, 1, 4, 4, 0, 1, 0, 3, 4, 2, 3, 2, 1, 1, 2, 0, 2, 3, 3, 4, 0, 2, 4, 2, 4, 1, 2, 2, 0, 0, 1, 3, 1] pubkeycol961 = [1, 1, 1, 4, 4, 1, 0, 2, 3, 3, 3, 1, 0, 0, 4, 3, 3, 2, 4, 1, 4, 2, 0, 1, 2, 4, 1, 0, 4, 0, 2, 3, 3, 2, 4, 2, 0, 1, 0, 1, 4, 3, 4, 4, 0, 0, 3, 2, 1, 1, 2, 2, 0, 0, 1, 3, 0, 1, 2, 2, 4, 4, 0, 2, 1, 2, 4, 0, 0, 4, 4, 4, 1, 2, 2, 3, 2, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 2, 3, 0, 3, 2, 2, 2, 4, 3, 4, 3, 0, 4, 1, 2, 4, 4, 0, 2, 0, 2, 2, 1, 0, 1, 4, 0, 0, 0, 1, 2, 1, 4, 0, 4, 2, 4, 2, 3, 1, 0, 2, 0, 2, 0, 0, 2, 4, 1, 4, 4, 3, 3, 2, 3, 1, 3, 1, 1, 1, 3, 2, 3, 4, 0, 4, 2, 1, 1, 3, 1, 3, 3, 4, 2, 2, 3, 1, 2, 0, 0, 4, 0, 0, 0, 1, 1, 2, 3, 1, 4, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 3, 1, 1, 2, 0, 0, 4, 2, 1, 1, 4, 2, 4, 0, 1, 3, 1, 1, 1, 4, 1, 4, 2, 3, 3, 1, 1, 4, 2, 1, 3, 4, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 4, 0, 3, 3, 2, 4, 4, 0, 1, 4, 2, 3, 4, 1, 4, 4, 3, 2, 1, 3, 4, 2, 1, 4, 3, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 3, 0, 4, 1, 3, 0, 1, 0, 0, 4, 3, 1, 1, 0, 3, 2, 3, 2, 0, 0, 0, 2, 0, 2, 4, 4, 4, 2, 4, 0, 0, 1, 3, 4, 2, 3, 0, 1, 1, 2, 4, 3, 0, 1, 4, 3, 0, 1, 1, 4, 3, 4, 1, 2, 2, 3, 3, 2, 1, 4, 1, 2, 4, 3, 1, 0, 4, 1, 3, 1, 4, 0, 2, 0, 0, 0, 4, 3, 3, 0, 0, 3, 0, 0, 2, 2, 0, 3, 1, 0, 4, 0, 4, 3, 0, 1, 4, 3, 3, 3, 2, 2, 3, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 3, 3, 0, 3, 0] pubkeycol962 = [1, 3, 0, 1, 0, 3, 1, 2, 4, 2, 1, 3, 4, 0, 0, 2, 4, 4, 0, 3, 3, 2, 0, 3, 4, 0, 0, 1, 2, 3, 0, 1, 2, 1, 3, 1, 0, 0, 3, 3, 3, 2, 4, 4, 2, 4, 4, 4, 2, 3, 1, 1, 3, 2, 3, 0, 2, 2, 0, 3, 4, 3, 3, 1, 1, 1, 4, 3, 2, 3, 2, 4, 0, 3, 3, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 3, 4, 3, 1, 4, 4, 2, 4, 2, 4, 0, 1, 1, 0, 1, 3, 0, 1, 1, 0, 3, 1, 3, 3, 4, 1, 0, 1, 3, 0, 3, 2, 0, 1, 4, 4, 4, 4, 1, 3, 4, 3, 3, 2, 4, 3, 0, 1, 0, 2, 2, 2, 4, 1, 0, 4, 1, 1, 3, 4, 4, 1, 0, 1, 2, 3, 0, 2, 3, 3, 2, 3, 1, 0, 4, 3, 3, 3, 2, 1, 2, 3, 2, 1, 2, 1, 0, 2, 4, 2, 3, 2, 3, 0, 3, 4, 1, 0, 4, 3, 3, 1, 4, 2, 3, 3, 3, 2, 4, 4, 4, 3, 1, 0, 2, 4, 3, 2, 3, 0, 1, 4, 4, 3, 0, 2, 4, 0, 2, 2, 1, 2, 2, 1, 1, 1, 3, 0, 0, 4, 2, 2, 4, 0, 4, 0, 4, 3, 0, 3, 2, 0, 2, 0, 1, 1, 4, 1, 0, 0, 2, 0, 4, 1, 1, 3, 2, 4, 4, 3, 2, 3, 3, 1, 4, 4, 4, 4, 0, 3, 3, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 3, 0, 0, 3, 1, 3, 3, 1, 2, 2, 1, 1, 2, 2, 1, 0, 4, 1, 1, 1, 4, 0, 0, 4, 2, 4, 2, 0, 4, 2, 2, 1, 4, 0, 2, 0, 1, 4, 2, 0, 4, 1, 0, 1, 2, 1, 4, 0, 0, 2, 3, 4, 2, 3, 3, 4, 2, 2, 1, 3, 0, 3, 2, 1, 2, 4, 1, 3, 4, 1, 2, 3, 4, 1, 3, 1, 2, 4, 1, 1, 3, 3, 1, 1, 3, 4, 0, 4, 1, 1, 4, 2, 1, 4, 1, 3, 4, 2, 3, 3, 4, 3, 1, 1, 0, 3, 3, 3, 2, 4, 4, 0, 2, 2, 3, 0, 3, 2, 0, 1, 2, 2, 3, 4] pubkeycol963 = [3, 0, 3, 1, 4, 3, 1, 3, 2, 3, 2, 0, 3, 0, 3, 1, 1, 0, 1, 1, 3, 0, 3, 0, 0, 3, 0, 4, 1, 3, 4, 4, 0, 0, 3, 4, 2, 1, 2, 2, 0, 1, 4, 2, 0, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 4, 3, 1, 2, 4, 0, 0, 2, 1, 4, 0, 4, 0, 3, 2, 4, 1, 4, 2, 2, 0, 4, 2, 2, 2, 0, 2, 0, 0, 4, 1, 4, 2, 2, 4, 0, 1, 0, 0, 2, 2, 4, 1, 4, 1, 1, 3, 3, 2, 0, 0, 3, 1, 4, 3, 3, 2, 0, 4, 2, 0, 3, 0, 2, 0, 1, 3, 1, 4, 3, 1, 4, 4, 0, 3, 2, 2, 2, 4, 2, 3, 3, 0, 3, 0, 2, 0, 2, 3, 4, 4, 3, 0, 4, 2, 2, 0, 1, 0, 0, 3, 0, 2, 1, 1, 2, 3, 4, 4, 1, 0, 2, 0, 0, 2, 1, 2, 0, 4, 1, 2, 4, 4, 2, 0, 3, 3, 0, 1, 1, 4, 4, 2, 0, 3, 0, 3, 1, 1, 2, 3, 3, 1, 4, 0, 4, 3, 1, 3, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 4, 0, 2, 0, 2, 1, 0, 3, 3, 3, 0, 0, 1, 2, 0, 0, 3, 0, 0, 0, 3, 1, 0, 0, 0, 3, 0, 2, 2, 4, 1, 3, 2, 3, 2, 0, 2, 2, 0, 1, 3, 0, 1, 1, 3, 0, 0, 3, 3, 4, 4, 1, 2, 0, 2, 2, 2, 1, 2, 2, 4, 1, 4, 0, 0, 0, 2, 4, 4, 0, 0, 3, 2, 3, 1, 2, 1, 0, 0, 3, 3, 4, 3, 1, 1, 2, 1, 4, 0, 2, 2, 3, 2, 3, 1, 2, 1, 0, 1, 4, 2, 2, 3, 4, 0, 1, 2, 1, 0, 3, 4, 0, 1, 2, 4, 3, 2, 1, 1, 0, 0, 4, 2, 0, 0, 3, 4, 4, 4, 2, 0, 4, 1, 2, 0, 4, 2, 3, 0, 3, 2, 4, 2, 3, 2, 4, 1, 4, 3, 1, 2, 3, 4, 4, 3, 4, 1, 2, 0, 1, 1, 4, 0, 2, 2, 2, 4, 3, 4, 0, 0, 3, 1, 0, 2, 1, 1, 0, 0, 3, 3] pubkeycol964 = [0, 0, 2, 0, 2, 4, 2, 4, 0, 4, 1, 0, 0, 0, 3, 0, 0, 0, 3, 2, 2, 4, 1, 2, 0, 3, 2, 1, 1, 0, 1, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 2, 0, 3, 1, 0, 3, 3, 2, 0, 0, 3, 0, 4, 0, 1, 1, 2, 3, 4, 1, 1, 2, 1, 0, 4, 2, 2, 2, 1, 3, 0, 0, 0, 0, 1, 2, 0, 3, 3, 1, 1, 1, 3, 3, 2, 1, 3, 1, 2, 0, 3, 1, 0, 2, 1, 0, 2, 2, 4, 1, 1, 1, 2, 2, 3, 3, 0, 1, 4, 3, 0, 1, 4, 1, 3, 2, 0, 4, 2, 3, 1, 2, 0, 2, 1, 0, 2, 2, 4, 3, 1, 2, 0, 3, 1, 0, 2, 2, 0, 3, 4, 4, 0, 0, 1, 3, 4, 1, 1, 0, 4, 0, 2, 3, 0, 2, 4, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 4, 0, 4, 2, 3, 4, 2, 0, 0, 3, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 4, 3, 0, 3, 2, 0, 1, 4, 4, 0, 4, 4, 0, 0, 3, 4, 2, 1, 2, 0, 2, 0, 4, 0, 4, 3, 1, 2, 2, 4, 0, 1, 1, 0, 1, 4, 2, 2, 3, 1, 2, 4, 1, 1, 4, 2, 4, 1, 3, 1, 1, 0, 4, 0, 4, 3, 2, 3, 3, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 3, 2, 3, 1, 2, 4, 0, 0, 0, 2, 0, 4, 3, 1, 3, 2, 0, 3, 0, 4, 0, 2, 0, 4, 2, 0, 1, 4, 0, 0, 1, 2, 0, 1, 4, 2, 2, 4, 3, 3, 0, 3, 3, 1, 1, 0, 1, 2, 1, 2, 2, 1, 3, 1, 1, 0, 2, 2, 4, 2, 0, 3, 3, 1, 2, 2, 0, 0, 3, 3, 3, 3, 3, 1, 0, 4, 3, 0, 2, 0, 1, 3, 4, 1, 2, 1, 0, 0, 0, 0, 4, 3, 1, 4, 1, 0, 0, 3, 3, 3, 3, 2, 2, 3, 0, 1, 4, 0, 2, 2, 0, 1, 4, 1, 4, 1, 1, 2, 2, 2, 4, 4, 2, 2, 0, 4, 3, 2, 2, 0, 3, 4, 2, 1, 4, 3] pubkeycol965 = [3, 0, 4, 4, 1, 4, 1, 0, 1, 4, 4, 3, 1, 3, 3, 2, 3, 0, 2, 2, 3, 0, 1, 3, 1, 0, 0, 4, 3, 1, 4, 1, 2, 4, 2, 4, 2, 2, 3, 0, 4, 1, 4, 0, 3, 1, 0, 4, 2, 1, 0, 1, 0, 0, 2, 0, 4, 4, 4, 1, 2, 4, 3, 2, 2, 1, 4, 1, 4, 1, 4, 4, 4, 4, 3, 0, 0, 4, 4, 2, 3, 3, 0, 4, 2, 4, 4, 4, 0, 1, 0, 3, 0, 3, 3, 4, 4, 3, 2, 3, 1, 4, 1, 1, 2, 3, 2, 3, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 4, 0, 3, 0, 0, 2, 0, 3, 2, 1, 2, 4, 3, 1, 1, 3, 1, 4, 2, 2, 3, 1, 3, 3, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 3, 2, 0, 1, 4, 3, 3, 1, 0, 0, 0, 3, 3, 2, 3, 4, 0, 2, 2, 4, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 1, 3, 0, 0, 2, 0, 4, 4, 4, 0, 1, 2, 0, 2, 0, 2, 4, 3, 2, 4, 1, 1, 4, 0, 1, 1, 1, 2, 3, 1, 2, 4, 1, 1, 3, 0, 3, 0, 4, 3, 4, 2, 3, 3, 2, 3, 3, 1, 4, 0, 1, 3, 4, 2, 1, 0, 1, 2, 4, 4, 1, 3, 0, 4, 0, 4, 4, 3, 0, 1, 4, 2, 3, 1, 3, 0, 1, 1, 2, 4, 1, 1, 3, 3, 1, 3, 4, 2, 3, 3, 3, 4, 2, 1, 0, 3, 2, 0, 2, 1, 2, 0, 3, 0, 2, 4, 0, 3, 0, 1, 2, 3, 2, 1, 3, 1, 1, 1, 3, 1, 2, 1, 3, 4, 1, 0, 3, 3, 3, 4, 2, 1, 2, 4, 0, 1, 0, 3, 4, 3, 1, 1, 0, 2, 0, 1, 2, 3, 4, 3, 1, 2, 1, 3, 1, 2, 1, 0, 4, 1, 3, 4, 2, 2, 2, 0, 1, 0, 0, 3, 2, 2, 4, 2, 2, 1, 4, 0, 0, 2, 2, 1, 0, 1, 4, 0, 3, 2, 3, 4, 0, 3, 4, 3, 1, 2, 4, 2, 0, 1, 3, 4, 4, 0, 4, 2, 2, 3, 3, 2, 3, 3, 4] pubkeycol966 = [0, 3, 1, 4, 4, 2, 4, 4, 4, 4, 3, 2, 1, 1, 0, 4, 4, 3, 1, 3, 0, 1, 2, 2, 1, 3, 0, 2, 4, 1, 3, 3, 4, 1, 2, 3, 0, 3, 2, 0, 3, 4, 2, 2, 3, 1, 1, 0, 3, 4, 1, 2, 1, 3, 4, 0, 0, 2, 1, 4, 4, 3, 1, 0, 2, 3, 3, 3, 4, 2, 3, 0, 3, 0, 3, 4, 2, 0, 0, 3, 4, 0, 2, 2, 4, 3, 4, 0, 1, 2, 0, 3, 3, 1, 1, 2, 2, 4, 4, 2, 0, 4, 0, 3, 0, 2, 2, 0, 3, 1, 1, 4, 1, 4, 2, 0, 3, 3, 4, 3, 3, 3, 2, 4, 3, 0, 0, 1, 4, 1, 2, 0, 3, 4, 4, 2, 4, 0, 0, 0, 1, 0, 0, 2, 0, 4, 0, 4, 4, 2, 3, 3, 4, 0, 0, 2, 2, 1, 0, 2, 0, 2, 3, 2, 3, 3, 2, 0, 4, 4, 0, 1, 3, 1, 3, 3, 1, 0, 1, 1, 2, 3, 2, 1, 0, 3, 0, 1, 0, 4, 3, 4, 3, 1, 2, 2, 4, 1, 3, 4, 3, 2, 1, 0, 3, 2, 4, 2, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 0, 1, 3, 2, 1, 0, 3, 3, 1, 1, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 4, 1, 4, 0, 4, 1, 1, 4, 1, 2, 2, 0, 1, 0, 3, 3, 1, 4, 4, 0, 2, 0, 1, 4, 0, 1, 1, 0, 3, 0, 2, 2, 3, 3, 4, 1, 1, 0, 2, 1, 4, 4, 0, 1, 1, 1, 1, 4, 2, 3, 4, 2, 2, 4, 2, 0, 0, 0, 0, 2, 3, 0, 3, 1, 3, 4, 0, 4, 4, 2, 4, 2, 0, 1, 2, 4, 2, 2, 1, 2, 2, 0, 0, 3, 3, 0, 4, 0, 3, 4, 0, 0, 2, 0, 4, 3, 2, 4, 3, 1, 3, 1, 4, 1, 0, 4, 4, 3, 4, 2, 3, 0, 0, 4, 2, 1, 0, 2, 3, 4, 2, 1, 2, 3, 3, 2, 0, 0, 3, 3, 0, 3, 0, 3, 2, 4, 2, 2, 4, 0, 3, 0, 0, 2, 0, 1, 2, 2, 4, 3, 3, 3, 3, 0, 4, 0, 4, 2, 0, 4, 3] pubkeycol967 = [1, 0, 2, 3, 0, 4, 2, 0, 2, 4, 3, 3, 2, 4, 0, 1, 4, 0, 4, 2, 4, 1, 4, 4, 4, 0, 0, 0, 1, 4, 4, 4, 2, 3, 3, 2, 4, 2, 4, 1, 1, 3, 2, 3, 0, 0, 0, 1, 0, 0, 1, 3, 3, 1, 4, 3, 3, 0, 3, 0, 2, 2, 3, 4, 1, 0, 0, 0, 4, 3, 2, 4, 2, 2, 4, 4, 1, 3, 4, 2, 0, 0, 2, 0, 1, 0, 3, 3, 4, 2, 1, 0, 2, 0, 3, 3, 2, 0, 0, 1, 2, 2, 4, 0, 1, 0, 1, 3, 0, 3, 4, 3, 3, 2, 1, 4, 2, 0, 0, 3, 4, 3, 3, 2, 1, 3, 2, 0, 2, 3, 3, 0, 1, 1, 0, 2, 1, 4, 0, 0, 3, 3, 0, 4, 0, 3, 3, 4, 1, 0, 4, 2, 2, 1, 1, 3, 4, 2, 0, 4, 2, 0, 2, 1, 1, 4, 1, 0, 0, 2, 2, 1, 0, 1, 4, 0, 3, 3, 3, 4, 3, 3, 4, 4, 2, 2, 1, 2, 1, 3, 0, 2, 4, 2, 0, 3, 0, 4, 0, 2, 1, 4, 2, 3, 1, 4, 0, 1, 1, 1, 2, 4, 4, 4, 3, 2, 3, 0, 4, 4, 2, 3, 0, 4, 4, 1, 4, 4, 2, 2, 1, 2, 1, 2, 3, 1, 4, 1, 1, 4, 0, 4, 0, 3, 0, 0, 3, 3, 2, 1, 0, 2, 3, 1, 0, 2, 4, 2, 0, 2, 4, 4, 1, 0, 4, 2, 4, 1, 3, 1, 0, 1, 4, 3, 3, 2, 1, 3, 1, 2, 3, 4, 3, 2, 0, 0, 3, 3, 1, 4, 1, 1, 2, 4, 4, 2, 1, 3, 1, 0, 2, 3, 0, 1, 1, 0, 0, 3, 3, 0, 4, 1, 3, 0, 1, 0, 3, 3, 4, 1, 2, 2, 3, 0, 2, 4, 4, 2, 0, 4, 3, 2, 3, 0, 3, 2, 3, 0, 2, 2, 0, 0, 4, 1, 0, 3, 0, 2, 3, 2, 4, 0, 1, 4, 2, 0, 4, 3, 3, 4, 1, 2, 2, 0, 3, 3, 0, 4, 1, 1, 2, 1, 0, 0, 1, 3, 3, 0, 3, 0, 2, 2, 1, 2, 3, 1, 2, 4, 3, 0, 4, 3, 4, 2, 3, 3, 4, 3, 1, 2] pubkeycol968 = [3, 1, 0, 0, 0, 1, 3, 2, 1, 4, 1, 1, 0, 1, 3, 4, 0, 2, 0, 1, 1, 0, 3, 4, 4, 3, 0, 0, 2, 2, 3, 4, 4, 3, 2, 2, 0, 4, 3, 4, 0, 1, 2, 4, 2, 0, 3, 0, 0, 1, 2, 1, 4, 4, 0, 2, 4, 0, 1, 3, 3, 2, 3, 4, 4, 0, 2, 0, 0, 4, 1, 2, 0, 2, 2, 3, 1, 4, 0, 4, 3, 2, 2, 3, 4, 0, 2, 3, 0, 1, 4, 3, 1, 2, 1, 3, 0, 1, 0, 4, 1, 1, 4, 1, 3, 4, 2, 2, 2, 3, 3, 3, 4, 0, 0, 3, 0, 0, 0, 0, 0, 3, 2, 2, 3, 2, 4, 4, 1, 1, 2, 1, 1, 4, 3, 3, 3, 3, 4, 0, 0, 2, 1, 2, 0, 0, 3, 0, 3, 3, 0, 2, 0, 2, 4, 2, 3, 0, 0, 4, 4, 2, 0, 3, 1, 1, 2, 3, 2, 2, 0, 2, 0, 3, 2, 4, 0, 2, 2, 0, 0, 3, 0, 3, 3, 0, 0, 3, 2, 4, 3, 3, 2, 4, 2, 3, 0, 3, 3, 3, 0, 1, 2, 3, 0, 0, 0, 3, 3, 2, 1, 2, 2, 3, 1, 1, 1, 2, 2, 3, 3, 0, 1, 3, 4, 3, 2, 0, 4, 3, 0, 3, 0, 1, 0, 4, 2, 4, 0, 0, 2, 4, 2, 3, 2, 3, 3, 4, 1, 1, 0, 1, 1, 4, 2, 4, 1, 0, 1, 0, 1, 2, 1, 0, 4, 0, 2, 0, 1, 2, 1, 0, 4, 4, 4, 0, 3, 4, 0, 0, 1, 4, 2, 2, 0, 1, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 0, 4, 1, 0, 1, 3, 1, 4, 4, 1, 0, 2, 1, 1, 2, 0, 2, 3, 2, 0, 1, 2, 4, 4, 3, 3, 1, 0, 0, 0, 4, 3, 3, 2, 4, 0, 4, 0, 1, 3, 1, 3, 0, 4, 2, 3, 4, 2, 4, 2, 2, 2, 2, 1, 2, 2, 4, 1, 1, 2, 2, 2, 2, 3, 0, 3, 0, 3, 0, 0, 3, 0, 2, 2, 2, 3, 0, 0, 4, 2, 1, 1, 1, 4, 1, 1, 0, 0, 2, 2, 0, 4, 3, 2, 2, 2, 0, 1, 3, 2, 4, 1, 0, 2] pubkeycol969 = [3, 4, 3, 2, 2, 2, 3, 0, 0, 4, 2, 3, 1, 1, 3, 0, 4, 1, 2, 0, 1, 1, 4, 0, 1, 3, 0, 1, 3, 3, 0, 1, 4, 4, 1, 0, 1, 2, 1, 4, 1, 4, 3, 2, 1, 4, 1, 3, 1, 1, 3, 4, 3, 4, 4, 2, 1, 0, 3, 0, 0, 3, 3, 1, 3, 1, 1, 2, 1, 2, 1, 1, 3, 4, 3, 4, 3, 3, 0, 3, 4, 1, 4, 1, 4, 0, 0, 0, 2, 3, 3, 0, 0, 3, 4, 1, 1, 2, 3, 1, 0, 1, 4, 4, 0, 0, 2, 4, 1, 3, 1, 2, 4, 3, 4, 1, 4, 1, 4, 2, 2, 4, 1, 3, 3, 1, 2, 2, 4, 4, 4, 3, 4, 1, 2, 2, 2, 2, 3, 1, 0, 3, 0, 4, 1, 2, 2, 3, 0, 0, 1, 2, 1, 1, 3, 3, 0, 3, 0, 0, 1, 3, 4, 0, 1, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 0, 0, 3, 4, 4, 4, 1, 3, 2, 1, 2, 0, 3, 4, 2, 4, 2, 4, 1, 3, 2, 1, 0, 3, 1, 2, 0, 4, 4, 1, 0, 4, 4, 3, 3, 1, 1, 3, 0, 2, 4, 4, 0, 1, 1, 3, 1, 3, 2, 2, 0, 1, 3, 2, 3, 4, 0, 0, 4, 1, 3, 0, 1, 2, 3, 1, 1, 0, 2, 4, 3, 1, 0, 3, 1, 0, 1, 3, 2, 1, 1, 4, 4, 1, 4, 2, 1, 4, 3, 4, 3, 2, 1, 2, 1, 2, 4, 4, 2, 2, 3, 2, 3, 1, 3, 3, 0, 2, 2, 1, 2, 4, 4, 2, 3, 4, 1, 3, 1, 0, 0, 4, 4, 3, 4, 0, 0, 2, 4, 3, 2, 1, 0, 0, 4, 4, 2, 3, 4, 0, 1, 4, 1, 4, 2, 0, 2, 1, 1, 2, 3, 3, 1, 2, 3, 0, 1, 3, 3, 1, 3, 3, 4, 3, 0, 4, 0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 3, 0, 0, 4, 0, 3, 3, 0, 1, 4, 3, 4, 2, 4, 1, 3, 3, 2, 2, 2, 2, 4, 1, 0, 4, 2, 3, 2, 1, 2, 4, 2, 3, 4, 1, 2, 0, 2, 3, 3, 3, 3, 2, 1, 2, 2, 4, 2, 4] pubkeycol970 = [0, 4, 4, 0, 1, 1, 0, 0, 4, 3, 2, 4, 0, 1, 1, 1, 1, 0, 0, 2, 1, 3, 2, 3, 4, 1, 0, 2, 3, 1, 1, 3, 3, 2, 0, 3, 1, 4, 4, 2, 0, 2, 0, 0, 3, 3, 1, 4, 4, 1, 1, 2, 2, 4, 0, 0, 1, 1, 0, 3, 4, 4, 2, 2, 2, 2, 2, 4, 2, 0, 2, 4, 4, 4, 3, 0, 2, 3, 4, 1, 3, 2, 4, 0, 0, 1, 3, 1, 0, 2, 3, 4, 4, 1, 4, 0, 0, 2, 4, 3, 0, 0, 2, 4, 0, 4, 4, 2, 2, 4, 2, 4, 1, 1, 4, 2, 3, 4, 2, 4, 0, 3, 0, 2, 1, 2, 1, 1, 3, 3, 4, 4, 4, 4, 4, 1, 1, 4, 3, 1, 0, 0, 0, 4, 4, 2, 3, 1, 3, 2, 2, 3, 0, 3, 3, 2, 3, 2, 0, 4, 4, 4, 2, 0, 3, 2, 1, 0, 4, 4, 3, 1, 2, 3, 0, 0, 4, 3, 0, 1, 1, 3, 3, 1, 2, 3, 2, 4, 2, 2, 2, 1, 4, 3, 4, 2, 2, 4, 1, 4, 3, 0, 1, 1, 4, 0, 0, 4, 4, 2, 2, 3, 0, 1, 1, 0, 2, 0, 1, 2, 0, 3, 2, 1, 2, 0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 4, 3, 1, 3, 4, 4, 0, 4, 2, 3, 1, 0, 1, 4, 1, 4, 4, 3, 1, 0, 2, 2, 3, 1, 3, 3, 4, 1, 3, 4, 1, 0, 4, 3, 1, 3, 0, 3, 3, 3, 3, 4, 1, 3, 2, 1, 0, 4, 4, 2, 3, 2, 1, 2, 3, 2, 4, 1, 3, 1, 4, 1, 3, 1, 0, 1, 1, 2, 4, 0, 1, 2, 3, 0, 2, 4, 4, 1, 3, 2, 2, 4, 2, 0, 3, 2, 1, 3, 4, 3, 3, 2, 3, 0, 1, 1, 3, 3, 4, 0, 3, 4, 4, 4, 1, 4, 2, 4, 2, 0, 0, 1, 0, 1, 4, 1, 3, 3, 2, 3, 4, 0, 2, 3, 3, 3, 0, 4, 2, 1, 4, 4, 2, 0, 0, 0, 3, 3, 4, 3, 3, 3, 0, 1, 0, 1, 1, 4, 2, 1, 3, 3, 4, 3, 1, 2, 4, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol971 = [0, 3, 1, 0, 0, 1, 3, 0, 3, 0, 4, 3, 4, 0, 2, 3, 2, 0, 4, 0, 0, 3, 4, 1, 1, 0, 1, 2, 3, 4, 1, 0, 1, 3, 2, 4, 4, 3, 4, 3, 0, 1, 2, 3, 3, 0, 0, 4, 3, 1, 2, 0, 1, 4, 3, 0, 3, 1, 4, 1, 2, 2, 3, 1, 1, 3, 2, 3, 3, 0, 0, 1, 3, 1, 2, 0, 1, 0, 3, 4, 3, 4, 4, 2, 1, 3, 4, 3, 0, 1, 3, 0, 0, 0, 3, 0, 1, 1, 4, 3, 3, 2, 3, 4, 3, 3, 1, 1, 3, 0, 4, 4, 0, 2, 2, 3, 3, 1, 3, 4, 3, 1, 3, 4, 3, 3, 0, 3, 3, 4, 3, 2, 1, 2, 0, 4, 1, 0, 4, 3, 0, 2, 1, 0, 3, 3, 4, 2, 2, 1, 2, 3, 4, 0, 3, 3, 0, 3, 1, 3, 2, 3, 0, 0, 2, 1, 4, 0, 2, 1, 3, 0, 4, 0, 3, 1, 2, 2, 3, 1, 1, 3, 4, 0, 1, 2, 2, 1, 1, 0, 1, 3, 0, 2, 2, 3, 4, 0, 0, 0, 2, 3, 2, 1, 2, 3, 0, 1, 0, 1, 0, 4, 0, 3, 3, 4, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 4, 4, 4, 4, 2, 3, 1, 2, 0, 2, 4, 0, 4, 0, 0, 3, 4, 3, 0, 0, 2, 2, 1, 3, 3, 1, 2, 1, 3, 4, 2, 0, 2, 4, 2, 1, 4, 0, 3, 4, 3, 3, 0, 2, 1, 1, 1, 4, 1, 3, 4, 0, 2, 4, 1, 2, 4, 4, 2, 4, 1, 0, 4, 2, 2, 3, 2, 3, 2, 1, 0, 4, 2, 4, 1, 0, 2, 0, 1, 3, 1, 4, 4, 3, 3, 4, 1, 3, 1, 1, 1, 2, 3, 1, 4, 1, 2, 0, 0, 3, 3, 4, 0, 0, 0, 1, 0, 4, 2, 4, 2, 2, 0, 1, 3, 4, 4, 4, 4, 1, 0, 0, 4, 1, 1, 3, 1, 4, 2, 0, 4, 0, 4, 3, 2, 2, 1, 0, 1, 0, 3, 2, 2, 3, 3, 1, 0, 1, 2, 1, 1, 1, 3, 2, 3, 2, 4, 2, 4, 1, 0, 3, 0, 2, 4, 2, 4, 4, 1, 2, 0, 3] pubkeycol972 = [4, 4, 3, 4, 1, 1, 3, 2, 4, 2, 0, 2, 3, 4, 1, 4, 3, 1, 4, 0, 0, 0, 4, 1, 0, 0, 3, 0, 2, 3, 1, 1, 3, 2, 1, 3, 1, 1, 4, 2, 3, 1, 3, 3, 2, 1, 2, 2, 4, 3, 4, 3, 2, 0, 4, 2, 1, 3, 1, 2, 3, 2, 4, 0, 3, 3, 2, 0, 1, 2, 4, 3, 4, 2, 3, 4, 3, 3, 1, 3, 2, 1, 2, 4, 1, 3, 3, 1, 3, 0, 0, 4, 2, 3, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, 3, 0, 4, 3, 4, 2, 3, 2, 3, 0, 0, 3, 1, 3, 4, 4, 1, 1, 4, 4, 3, 2, 2, 3, 2, 3, 2, 0, 3, 1, 3, 1, 0, 0, 1, 0, 1, 4, 1, 0, 3, 3, 4, 1, 0, 0, 3, 3, 2, 4, 0, 4, 2, 2, 0, 4, 4, 3, 4, 1, 3, 3, 0, 2, 2, 4, 2, 1, 1, 2, 1, 0, 1, 3, 3, 3, 4, 1, 0, 0, 2, 1, 4, 3, 4, 0, 1, 0, 4, 0, 3, 1, 1, 4, 0, 2, 4, 2, 1, 1, 1, 4, 1, 0, 1, 3, 4, 2, 2, 3, 4, 3, 0, 1, 4, 1, 1, 1, 0, 1, 3, 4, 4, 3, 2, 2, 0, 1, 0, 4, 4, 4, 4, 3, 2, 0, 0, 1, 1, 4, 1, 4, 0, 1, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 3, 0, 4, 4, 4, 2, 1, 0, 3, 2, 0, 2, 4, 0, 1, 1, 4, 2, 4, 3, 3, 0, 0, 3, 2, 0, 4, 3, 4, 1, 2, 2, 4, 1, 1, 3, 2, 2, 1, 0, 1, 3, 2, 0, 4, 3, 4, 4, 2, 2, 2, 0, 4, 3, 3, 4, 2, 4, 0, 0, 2, 2, 0, 3, 0, 4, 1, 3, 3, 2, 4, 0, 1, 0, 4, 4, 3, 4, 3, 3, 4, 0, 2, 1, 1, 4, 2, 4, 3, 1, 2, 4, 4, 0, 1, 1, 0, 2, 0, 4, 3, 1, 1, 0, 0, 2, 3, 2, 0, 4, 1, 1, 3, 1, 1, 1, 4, 3, 3, 0, 2, 4, 4, 0, 3, 4, 2, 0, 2, 3, 4, 4, 0, 1, 3, 3, 1, 4] pubkeycol973 = [0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 3, 0, 1, 3, 3, 3, 0, 1, 3, 0, 3, 0, 4, 1, 2, 1, 3, 2, 2, 3, 4, 3, 0, 2, 0, 1, 3, 1, 3, 4, 2, 4, 0, 1, 4, 1, 1, 2, 0, 2, 2, 0, 0, 3, 1, 3, 0, 0, 2, 3, 4, 0, 1, 2, 2, 4, 0, 1, 4, 4, 0, 1, 2, 0, 1, 1, 4, 3, 4, 2, 3, 1, 0, 1, 3, 3, 1, 0, 1, 3, 1, 0, 0, 3, 3, 4, 4, 0, 1, 0, 2, 3, 1, 0, 1, 4, 1, 4, 3, 0, 4, 1, 1, 2, 3, 1, 4, 4, 0, 2, 3, 4, 0, 1, 4, 4, 3, 4, 2, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 2, 0, 1, 0, 4, 2, 3, 1, 0, 4, 0, 3, 0, 4, 1, 3, 0, 1, 1, 2, 4, 1, 3, 2, 4, 3, 0, 0, 4, 4, 4, 3, 3, 1, 1, 2, 1, 0, 2, 2, 2, 3, 4, 1, 4, 2, 0, 3, 4, 3, 1, 0, 1, 2, 2, 3, 4, 1, 3, 3, 3, 2, 4, 0, 3, 3, 0, 1, 1, 4, 3, 0, 3, 3, 3, 1, 2, 3, 4, 0, 0, 1, 0, 1, 1, 4, 1, 1, 3, 0, 2, 0, 2, 1, 2, 2, 3, 0, 2, 3, 1, 0, 1, 2, 2, 0, 3, 4, 3, 1, 3, 0, 4, 3, 3, 3, 2, 0, 2, 3, 2, 3, 1, 3, 1, 1, 1, 0, 1, 3, 1, 4, 2, 3, 4, 0, 2, 0, 0, 1, 0, 1, 2, 4, 2, 2, 1, 4, 4, 2, 2, 2, 1, 1, 4, 1, 2, 0, 2, 1, 4, 4, 1, 2, 4, 1, 0, 3, 3, 4, 2, 0, 3, 2, 0, 1, 1, 4, 1, 1, 3, 2, 3, 4, 2, 1, 0, 4, 1, 0, 3, 4, 3, 1, 4, 2, 1, 0, 4, 2, 0, 2, 3, 4, 4, 0, 3, 1, 3, 3, 1, 0, 0, 1, 3, 3, 0, 2, 3, 4, 4, 1, 0, 0, 0, 1, 4, 1, 0, 4, 2, 2, 2, 0, 4, 3, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 1, 1, 4, 3, 2, 4, 1, 4, 2, 0, 3, 1, 4, 1] pubkeycol974 = [0, 4, 3, 4, 0, 2, 1, 0, 2, 3, 0, 2, 0, 4, 1, 2, 3, 2, 1, 4, 4, 2, 1, 0, 2, 3, 4, 0, 0, 3, 2, 3, 4, 2, 4, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 0, 1, 0, 3, 1, 4, 4, 2, 0, 2, 3, 4, 1, 2, 4, 4, 1, 2, 3, 2, 2, 3, 1, 4, 0, 3, 2, 0, 0, 3, 4, 1, 0, 1, 3, 1, 3, 4, 4, 2, 2, 3, 2, 3, 4, 4, 1, 2, 1, 3, 0, 4, 2, 4, 3, 2, 4, 3, 4, 2, 4, 2, 0, 0, 4, 1, 1, 2, 1, 4, 1, 2, 0, 1, 2, 2, 1, 3, 3, 1, 1, 1, 3, 0, 0, 2, 2, 3, 0, 4, 4, 0, 3, 4, 4, 0, 0, 1, 2, 2, 2, 4, 1, 0, 4, 3, 0, 1, 2, 1, 0, 4, 0, 0, 0, 3, 3, 2, 2, 3, 4, 0, 0, 3, 4, 0, 2, 0, 2, 2, 4, 4, 0, 1, 4, 0, 2, 4, 4, 0, 2, 4, 0, 1, 4, 4, 0, 1, 0, 4, 3, 3, 0, 4, 4, 3, 0, 1, 2, 0, 1, 3, 2, 4, 0, 1, 3, 1, 1, 4, 1, 1, 2, 4, 4, 0, 3, 1, 2, 3, 3, 0, 3, 1, 0, 1, 0, 2, 1, 2, 2, 3, 0, 3, 4, 4, 1, 4, 4, 1, 2, 2, 4, 2, 1, 4, 1, 0, 2, 4, 0, 2, 2, 4, 0, 3, 0, 0, 4, 1, 2, 2, 3, 0, 2, 3, 1, 4, 2, 4, 4, 4, 0, 3, 1, 1, 1, 3, 0, 2, 1, 1, 2, 3, 0, 4, 4, 3, 4, 2, 4, 3, 2, 3, 2, 2, 3, 4, 4, 0, 3, 0, 0, 4, 0, 2, 0, 3, 4, 1, 3, 2, 3, 4, 4, 1, 1, 2, 0, 0, 4, 2, 2, 0, 0, 3, 0, 3, 1, 2, 2, 2, 2, 4, 3, 1, 2, 2, 4, 0, 3, 0, 2, 3, 0, 4, 2, 1, 3, 2, 1, 1, 0, 1, 2, 2, 2, 0, 4, 1, 1, 0, 2, 1, 1, 3, 4, 4, 0, 1, 4, 0, 4, 4, 4, 4, 0, 3, 4, 3, 2, 0, 4, 1, 1, 3, 2, 3, 0, 3, 3, 4] pubkeycol975 = [2, 0, 4, 1, 0, 3, 0, 2, 4, 3, 1, 4, 4, 2, 2, 2, 0, 2, 4, 2, 1, 0, 1, 3, 3, 2, 3, 3, 3, 2, 0, 3, 0, 2, 0, 1, 2, 4, 3, 1, 3, 2, 2, 0, 1, 2, 4, 2, 3, 0, 1, 0, 1, 2, 0, 3, 3, 1, 0, 1, 0, 2, 1, 1, 4, 1, 0, 4, 3, 3, 3, 4, 4, 1, 3, 1, 2, 4, 0, 0, 2, 3, 1, 0, 3, 2, 2, 1, 1, 3, 3, 0, 2, 0, 3, 0, 3, 2, 2, 0, 4, 3, 1, 3, 4, 0, 0, 2, 1, 4, 2, 3, 4, 1, 2, 1, 0, 0, 1, 4, 4, 3, 0, 1, 4, 2, 3, 2, 0, 0, 2, 1, 0, 4, 0, 2, 1, 3, 3, 4, 0, 2, 0, 2, 0, 3, 3, 3, 3, 1, 1, 1, 0, 4, 2, 1, 0, 2, 0, 0, 0, 3, 1, 4, 2, 3, 4, 2, 4, 4, 3, 3, 1, 3, 4, 3, 2, 2, 0, 0, 3, 0, 0, 1, 4, 3, 0, 0, 1, 0, 3, 4, 0, 1, 0, 0, 3, 3, 4, 0, 4, 4, 4, 1, 2, 3, 4, 4, 2, 2, 0, 2, 1, 4, 2, 4, 2, 0, 3, 1, 1, 4, 0, 3, 1, 0, 3, 4, 4, 0, 4, 4, 1, 4, 4, 4, 4, 0, 0, 2, 3, 1, 2, 0, 2, 2, 0, 3, 2, 0, 4, 2, 4, 4, 1, 2, 4, 0, 2, 0, 1, 4, 1, 2, 1, 3, 4, 2, 3, 0, 3, 1, 1, 4, 0, 1, 1, 1, 4, 0, 2, 3, 3, 0, 3, 1, 3, 3, 4, 0, 4, 4, 4, 0, 3, 2, 1, 3, 1, 1, 3, 3, 3, 0, 3, 0, 2, 3, 0, 0, 1, 0, 4, 3, 1, 0, 4, 0, 4, 1, 3, 2, 4, 4, 2, 4, 3, 2, 4, 2, 2, 1, 1, 3, 3, 4, 1, 0, 4, 1, 3, 0, 2, 3, 2, 2, 4, 3, 0, 1, 0, 3, 1, 4, 0, 4, 0, 1, 2, 0, 2, 1, 2, 3, 1, 1, 4, 2, 4, 3, 4, 0, 2, 2, 0, 4, 3, 3, 0, 1, 0, 2, 2, 3, 4, 4, 0, 1, 4, 3, 0, 2, 0, 0, 2, 2, 2, 1, 3, 0] pubkeycol976 = [3, 2, 3, 0, 2, 1, 4, 0, 2, 1, 3, 1, 3, 1, 2, 3, 4, 2, 2, 4, 2, 1, 4, 3, 4, 0, 3, 3, 1, 0, 4, 1, 3, 2, 2, 0, 2, 3, 3, 2, 4, 2, 0, 2, 2, 2, 0, 3, 3, 4, 4, 4, 0, 0, 3, 0, 1, 2, 3, 0, 0, 2, 1, 3, 3, 3, 3, 2, 3, 2, 2, 3, 1, 3, 3, 4, 1, 4, 4, 0, 1, 1, 3, 2, 0, 2, 2, 4, 0, 3, 1, 0, 0, 4, 3, 2, 1, 3, 1, 4, 0, 4, 3, 1, 4, 4, 3, 0, 1, 1, 4, 0, 0, 2, 1, 0, 2, 3, 4, 3, 3, 1, 0, 0, 1, 1, 2, 1, 2, 2, 3, 0, 3, 2, 3, 3, 4, 2, 1, 1, 3, 3, 0, 1, 0, 3, 1, 4, 1, 2, 4, 0, 1, 0, 2, 4, 3, 2, 3, 2, 3, 4, 4, 3, 3, 3, 2, 0, 3, 2, 2, 1, 2, 2, 2, 3, 1, 3, 0, 2, 4, 3, 1, 2, 4, 4, 0, 1, 4, 3, 3, 4, 1, 2, 2, 4, 0, 4, 4, 3, 0, 0, 2, 2, 3, 4, 1, 4, 3, 1, 3, 2, 1, 0, 2, 4, 2, 2, 4, 0, 1, 3, 3, 3, 1, 4, 0, 0, 4, 3, 1, 0, 0, 4, 1, 0, 3, 3, 1, 3, 3, 2, 1, 2, 0, 4, 0, 3, 3, 2, 1, 3, 4, 3, 0, 1, 1, 0, 2, 4, 3, 3, 4, 0, 1, 2, 4, 0, 2, 3, 4, 4, 0, 2, 2, 0, 4, 1, 1, 2, 0, 2, 4, 1, 3, 3, 0, 1, 1, 2, 0, 4, 3, 3, 4, 3, 2, 2, 3, 4, 2, 0, 4, 2, 0, 1, 0, 2, 3, 2, 0, 4, 4, 0, 0, 3, 4, 4, 2, 0, 0, 0, 3, 2, 2, 2, 2, 1, 2, 3, 2, 0, 0, 2, 4, 0, 3, 4, 1, 1, 4, 0, 4, 0, 0, 0, 1, 4, 2, 2, 3, 4, 2, 0, 2, 3, 0, 1, 2, 1, 4, 2, 0, 0, 2, 3, 1, 2, 3, 1, 3, 3, 0, 4, 4, 2, 3, 0, 3, 0, 3, 1, 3, 2, 2, 4, 0, 3, 2, 2, 3, 1, 4, 2, 4, 1, 1, 4, 4, 2] pubkeycol977 = [3, 3, 1, 3, 3, 1, 0, 0, 4, 4, 1, 3, 2, 2, 2, 4, 3, 4, 3, 4, 2, 1, 1, 4, 2, 0, 4, 4, 0, 4, 2, 2, 2, 0, 4, 3, 4, 1, 1, 0, 3, 0, 3, 4, 1, 0, 1, 4, 0, 3, 1, 4, 1, 4, 3, 3, 3, 3, 2, 0, 4, 2, 4, 1, 3, 4, 3, 4, 4, 3, 1, 3, 2, 4, 0, 2, 3, 4, 1, 1, 0, 3, 4, 1, 1, 1, 1, 4, 0, 1, 0, 0, 1, 0, 1, 4, 4, 0, 2, 4, 3, 1, 4, 3, 0, 1, 3, 4, 2, 4, 2, 3, 0, 3, 3, 1, 0, 1, 4, 3, 3, 2, 4, 2, 0, 0, 0, 0, 1, 4, 4, 1, 3, 1, 3, 0, 1, 3, 0, 0, 4, 2, 3, 2, 0, 1, 2, 0, 4, 2, 0, 1, 0, 1, 0, 3, 3, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 3, 4, 0, 3, 4, 1, 1, 4, 2, 0, 2, 1, 0, 3, 4, 1, 3, 0, 0, 4, 2, 2, 4, 3, 0, 2, 1, 2, 1, 2, 3, 3, 0, 4, 1, 1, 0, 3, 3, 3, 3, 3, 1, 2, 4, 2, 4, 1, 3, 1, 1, 1, 2, 2, 3, 0, 3, 2, 1, 4, 3, 3, 2, 4, 1, 2, 2, 0, 1, 4, 3, 0, 1, 3, 1, 3, 2, 0, 2, 3, 3, 2, 4, 1, 3, 2, 1, 2, 4, 3, 3, 2, 0, 1, 2, 4, 1, 0, 2, 1, 0, 4, 3, 4, 1, 2, 0, 4, 2, 1, 3, 1, 1, 3, 1, 2, 3, 1, 3, 0, 4, 1, 3, 2, 2, 0, 2, 4, 4, 4, 2, 3, 0, 0, 3, 4, 4, 0, 4, 4, 0, 3, 2, 3, 0, 4, 2, 2, 0, 0, 4, 4, 1, 4, 1, 3, 0, 3, 2, 3, 4, 2, 2, 1, 2, 4, 0, 0, 4, 4, 3, 2, 4, 4, 4, 2, 3, 1, 4, 1, 0, 4, 2, 1, 3, 3, 0, 1, 4, 4, 4, 2, 4, 4, 0, 3, 0, 1, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 0, 3, 3, 0, 3, 3, 1, 4, 1, 3, 0, 4, 2, 0, 2, 2, 0, 1, 1, 3, 3] pubkeycol978 = [2, 1, 4, 0, 4, 3, 2, 2, 4, 0, 3, 3, 2, 3, 0, 3, 0, 4, 0, 4, 3, 0, 3, 1, 0, 3, 3, 3, 1, 0, 4, 3, 2, 0, 1, 4, 2, 2, 3, 0, 4, 0, 4, 4, 2, 1, 4, 0, 1, 2, 2, 4, 0, 3, 2, 3, 3, 4, 2, 2, 4, 0, 4, 4, 0, 0, 1, 1, 3, 2, 1, 2, 3, 2, 4, 2, 4, 2, 2, 3, 2, 3, 1, 2, 4, 4, 2, 1, 1, 0, 1, 3, 0, 4, 2, 0, 2, 2, 2, 4, 1, 0, 2, 2, 3, 0, 1, 4, 1, 1, 4, 2, 2, 1, 4, 0, 3, 1, 0, 3, 3, 3, 2, 4, 3, 4, 2, 0, 0, 2, 1, 0, 2, 3, 0, 4, 3, 1, 1, 3, 1, 1, 1, 0, 4, 3, 3, 2, 0, 2, 0, 1, 3, 0, 0, 0, 0, 1, 4, 0, 1, 3, 3, 3, 4, 4, 2, 2, 0, 1, 2, 4, 3, 3, 4, 1, 1, 4, 2, 0, 2, 1, 1, 3, 1, 4, 0, 3, 0, 0, 1, 0, 2, 4, 3, 1, 3, 4, 2, 1, 4, 0, 2, 0, 4, 2, 0, 4, 3, 4, 4, 1, 4, 3, 4, 1, 2, 4, 1, 0, 4, 0, 2, 0, 3, 0, 2, 4, 2, 2, 1, 3, 2, 0, 4, 4, 1, 1, 1, 3, 4, 3, 0, 4, 1, 4, 0, 3, 4, 2, 2, 1, 1, 4, 3, 3, 0, 4, 2, 0, 4, 4, 2, 1, 4, 0, 4, 2, 2, 0, 3, 1, 4, 4, 3, 4, 3, 0, 3, 4, 3, 4, 0, 3, 0, 0, 1, 4, 4, 3, 0, 3, 3, 3, 1, 4, 4, 2, 1, 0, 2, 2, 0, 3, 0, 0, 0, 4, 3, 0, 2, 3, 4, 1, 3, 2, 4, 1, 3, 2, 1, 2, 3, 2, 4, 0, 0, 2, 1, 1, 4, 3, 0, 2, 1, 2, 0, 0, 3, 2, 3, 2, 3, 0, 3, 0, 2, 4, 2, 2, 1, 4, 3, 3, 1, 2, 2, 3, 3, 0, 3, 0, 2, 2, 4, 1, 0, 4, 2, 4, 3, 3, 2, 3, 2, 3, 1, 3, 3, 2, 0, 4, 1, 4, 0, 2, 2, 3, 0, 1, 1, 3, 1, 0, 2, 0, 4, 4, 4, 0] pubkeycol979 = [1, 3, 1, 0, 1, 3, 1, 1, 2, 1, 3, 2, 3, 4, 0, 4, 1, 3, 2, 1, 3, 2, 3, 4, 4, 0, 1, 0, 2, 1, 2, 2, 2, 1, 3, 0, 3, 3, 0, 4, 0, 4, 4, 2, 0, 3, 0, 4, 1, 3, 0, 1, 3, 2, 3, 1, 2, 0, 2, 2, 1, 4, 4, 4, 0, 1, 0, 1, 0, 1, 1, 1, 2, 3, 1, 2, 2, 3, 4, 2, 3, 1, 4, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 3, 4, 1, 1, 4, 4, 1, 0, 3, 4, 1, 3, 0, 3, 4, 2, 2, 2, 4, 1, 1, 1, 1, 0, 1, 3, 1, 4, 4, 3, 2, 1, 2, 3, 4, 1, 2, 4, 1, 4, 2, 2, 4, 0, 2, 2, 4, 3, 4, 2, 0, 1, 3, 2, 0, 2, 2, 4, 3, 1, 2, 2, 1, 4, 0, 3, 3, 1, 2, 4, 4, 2, 2, 1, 1, 3, 4, 3, 2, 1, 0, 1, 4, 2, 3, 2, 3, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 0, 1, 1, 3, 2, 2, 3, 3, 1, 1, 2, 2, 0, 4, 2, 3, 2, 3, 3, 2, 1, 4, 0, 0, 2, 2, 0, 1, 1, 1, 3, 3, 1, 4, 2, 2, 3, 0, 3, 4, 2, 3, 2, 2, 2, 3, 4, 1, 4, 3, 0, 4, 2, 3, 3, 4, 4, 3, 1, 4, 2, 4, 4, 1, 4, 2, 1, 2, 3, 1, 0, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 2, 2, 2, 0, 0, 2, 3, 0, 3, 1, 1, 1, 3, 1, 1, 0, 1, 2, 2, 4, 1, 2, 4, 2, 4, 3, 0, 1, 1, 3, 0, 1, 0, 0, 0, 3, 1, 3, 0, 2, 3, 1, 1, 2, 1, 1, 3, 1, 4, 1, 1, 3, 0, 1, 0, 3, 2, 0, 0, 2, 1, 0, 4, 2, 1, 4, 3, 3, 3, 2, 4, 2, 3, 0, 3, 0, 3, 0, 2, 0, 0, 0, 0, 4, 3, 1, 2, 4, 1, 4, 0, 2, 3, 1, 3, 0, 4, 2, 1, 1, 0, 4, 1, 3, 1, 3, 4, 1, 4, 4, 1, 2, 4, 3, 4, 4, 0, 4, 1, 0, 1, 2, 4, 3, 2, 2, 0] pubkeycol980 = [0, 3, 3, 0, 1, 3, 4, 0, 0, 2, 3, 4, 3, 0, 4, 4, 0, 1, 4, 2, 0, 1, 2, 2, 4, 3, 0, 0, 1, 0, 4, 1, 3, 4, 0, 1, 4, 1, 0, 2, 1, 4, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 4, 0, 1, 2, 4, 1, 1, 2, 2, 0, 3, 4, 1, 2, 0, 1, 3, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 4, 0, 1, 1, 3, 2, 4, 0, 2, 0, 3, 4, 3, 2, 4, 0, 0, 3, 1, 0, 1, 4, 0, 0, 3, 3, 2, 4, 3, 4, 3, 4, 0, 0, 1, 3, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 4, 4, 4, 4, 2, 1, 3, 4, 4, 0, 2, 3, 4, 1, 2, 2, 4, 2, 3, 2, 1, 3, 1, 1, 2, 1, 0, 3, 1, 4, 4, 0, 4, 0, 3, 1, 4, 4, 0, 4, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 0, 1, 3, 2, 4, 3, 0, 2, 0, 0, 0, 0, 2, 3, 2, 3, 3, 4, 0, 1, 2, 0, 3, 1, 0, 0, 0, 2, 1, 4, 2, 0, 0, 2, 1, 3, 4, 4, 2, 0, 1, 4, 1, 4, 2, 3, 0, 4, 3, 1, 0, 3, 2, 2, 4, 4, 3, 0, 2, 2, 3, 1, 1, 1, 4, 0, 4, 1, 4, 0, 0, 0, 1, 4, 2, 2, 2, 3, 2, 4, 3, 3, 0, 3, 2, 2, 2, 1, 0, 1, 0, 2, 4, 1, 2, 3, 3, 4, 1, 3, 4, 1, 3, 3, 4, 4, 2, 3, 0, 4, 3, 1, 0, 2, 3, 0, 1, 2, 4, 4, 3, 4, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 4, 0, 4, 0, 4, 2, 1, 3, 2, 3, 3, 0, 3, 1, 3, 0, 4, 1, 2, 0, 0, 2, 1, 4, 4, 3, 0, 3, 4, 0, 3, 1, 3, 4, 0, 0, 4, 1, 0, 3, 0, 0, 4, 4, 3, 4, 0, 1, 4, 4, 4, 0, 4, 3, 0, 2, 1, 1, 3, 2, 3, 0, 4, 1, 1, 3, 4, 2, 2, 3, 0, 3, 3, 2, 0, 0, 3, 0, 2, 4, 2, 3, 3, 1, 4, 4, 1, 2, 3] pubkeycol981 = [4, 1, 0, 4, 4, 3, 3, 1, 3, 2, 3, 2, 4, 1, 4, 1, 4, 1, 2, 1, 4, 3, 2, 2, 1, 3, 1, 3, 2, 3, 4, 0, 0, 2, 2, 2, 4, 3, 1, 3, 3, 2, 3, 3, 0, 1, 4, 1, 3, 4, 0, 4, 0, 4, 3, 4, 1, 1, 3, 3, 2, 2, 1, 3, 0, 4, 4, 0, 3, 3, 4, 0, 0, 2, 3, 4, 4, 1, 2, 2, 2, 3, 0, 4, 3, 1, 4, 2, 4, 1, 3, 2, 1, 0, 4, 4, 1, 1, 2, 4, 0, 3, 3, 2, 3, 4, 4, 1, 3, 0, 1, 3, 3, 0, 3, 0, 3, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 4, 4, 3, 4, 3, 3, 0, 0, 1, 0, 1, 2, 0, 2, 4, 2, 2, 4, 1, 0, 2, 2, 0, 2, 3, 0, 2, 3, 2, 3, 4, 3, 0, 2, 0, 0, 4, 0, 0, 2, 3, 3, 1, 2, 2, 3, 1, 0, 1, 4, 2, 0, 0, 2, 2, 4, 2, 3, 0, 1, 4, 0, 0, 0, 1, 0, 1, 0, 2, 3, 2, 3, 2, 1, 3, 0, 4, 1, 0, 3, 4, 4, 4, 0, 0, 2, 4, 1, 0, 1, 2, 1, 0, 4, 3, 0, 0, 3, 3, 1, 0, 2, 2, 2, 1, 4, 1, 3, 2, 2, 3, 2, 4, 1, 1, 2, 2, 1, 2, 4, 0, 2, 3, 1, 0, 1, 4, 4, 3, 2, 4, 1, 3, 0, 0, 1, 2, 0, 3, 2, 2, 4, 4, 1, 1, 4, 1, 4, 0, 1, 0, 3, 4, 2, 1, 0, 3, 0, 4, 2, 3, 0, 3, 1, 2, 0, 2, 1, 3, 2, 0, 1, 1, 3, 4, 4, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 3, 4, 4, 4, 4, 1, 0, 4, 2, 3, 1, 1, 3, 3, 3, 1, 0, 3, 2, 1, 1, 0, 3, 1, 4, 4, 4, 3, 3, 2, 3, 4, 0, 2, 0, 1, 4, 3, 2, 1, 3, 0, 1, 0, 4, 4, 4, 2, 4, 1, 4, 2, 4, 0, 1, 4, 2, 2, 3, 3, 2, 4, 2, 3, 3, 0, 2, 4, 2, 3, 0, 1, 3, 3, 0, 2, 0, 3, 1, 0, 3, 4, 2, 3] pubkeycol982 = [2, 2, 0, 4, 4, 1, 3, 1, 1, 0, 0, 3, 2, 3, 1, 0, 0, 3, 3, 2, 1, 0, 3, 3, 0, 1, 1, 2, 0, 2, 0, 3, 1, 4, 1, 3, 4, 1, 2, 3, 1, 3, 1, 2, 3, 2, 2, 2, 4, 3, 3, 3, 2, 1, 0, 4, 2, 4, 1, 1, 4, 1, 4, 2, 2, 2, 3, 1, 4, 3, 3, 2, 3, 3, 4, 4, 4, 1, 2, 2, 1, 1, 3, 2, 4, 4, 4, 0, 2, 4, 0, 0, 2, 2, 0, 0, 3, 0, 3, 0, 0, 4, 2, 3, 4, 4, 1, 1, 0, 3, 3, 4, 1, 2, 4, 2, 4, 0, 1, 1, 0, 0, 4, 4, 2, 2, 2, 0, 3, 4, 0, 1, 4, 0, 4, 3, 4, 2, 3, 3, 0, 1, 4, 1, 1, 0, 4, 0, 0, 3, 0, 0, 2, 0, 0, 4, 1, 4, 3, 3, 2, 4, 0, 2, 3, 4, 3, 3, 0, 2, 4, 3, 2, 3, 3, 4, 0, 1, 2, 2, 0, 1, 0, 4, 4, 4, 4, 1, 3, 1, 4, 2, 1, 1, 1, 4, 4, 4, 4, 3, 3, 2, 0, 2, 0, 1, 4, 3, 0, 2, 0, 3, 1, 4, 3, 1, 1, 0, 0, 0, 4, 1, 4, 4, 3, 2, 4, 2, 4, 2, 1, 3, 1, 1, 1, 4, 3, 0, 4, 2, 3, 1, 4, 4, 1, 3, 3, 4, 3, 1, 0, 1, 3, 2, 2, 1, 2, 0, 4, 2, 1, 2, 0, 0, 3, 1, 3, 0, 4, 2, 4, 0, 1, 2, 2, 2, 2, 0, 1, 4, 4, 0, 4, 4, 0, 3, 3, 0, 4, 2, 1, 4, 3, 0, 4, 0, 0, 4, 4, 0, 2, 4, 2, 1, 2, 0, 0, 0, 0, 0, 3, 3, 4, 2, 0, 1, 0, 0, 1, 1, 4, 3, 3, 0, 4, 2, 2, 1, 4, 2, 4, 3, 4, 2, 4, 1, 3, 3, 0, 3, 3, 3, 1, 3, 2, 1, 2, 0, 2, 0, 3, 0, 4, 2, 1, 2, 1, 2, 2, 2, 1, 4, 2, 3, 3, 3, 0, 1, 2, 1, 3, 0, 4, 0, 0, 0, 3, 0, 3, 2, 0, 4, 2, 0, 4, 3, 0, 3, 3, 4, 1, 3, 0, 3, 4, 1, 0, 0, 4, 1] pubkeycol983 = [1, 2, 1, 2, 2, 3, 3, 3, 4, 4, 0, 0, 4, 4, 2, 4, 1, 2, 3, 1, 1, 3, 3, 2, 2, 4, 4, 0, 3, 1, 4, 1, 4, 3, 0, 2, 2, 0, 2, 0, 0, 2, 1, 4, 0, 2, 0, 0, 0, 1, 4, 2, 4, 2, 0, 2, 0, 2, 3, 1, 3, 4, 1, 1, 1, 3, 3, 1, 1, 1, 4, 2, 4, 4, 1, 2, 2, 4, 3, 0, 0, 2, 4, 2, 4, 0, 4, 3, 1, 0, 2, 1, 2, 3, 0, 4, 1, 3, 2, 2, 2, 1, 1, 4, 1, 4, 4, 4, 1, 0, 2, 3, 1, 2, 2, 3, 1, 3, 3, 3, 3, 2, 1, 0, 2, 4, 2, 3, 4, 2, 1, 4, 1, 4, 1, 1, 3, 1, 2, 3, 4, 4, 1, 3, 1, 1, 1, 4, 3, 1, 3, 2, 0, 4, 4, 3, 0, 2, 2, 3, 4, 2, 4, 4, 2, 2, 1, 2, 0, 1, 4, 4, 2, 4, 4, 2, 2, 0, 4, 4, 4, 2, 0, 2, 0, 1, 4, 2, 4, 4, 1, 3, 2, 2, 4, 4, 2, 4, 2, 3, 1, 0, 4, 4, 3, 4, 4, 3, 3, 2, 0, 2, 3, 2, 3, 4, 1, 4, 1, 0, 3, 2, 1, 0, 1, 2, 2, 2, 1, 3, 2, 2, 1, 1, 1, 2, 1, 3, 2, 3, 0, 3, 1, 1, 3, 4, 0, 0, 3, 3, 2, 3, 2, 2, 1, 4, 3, 2, 1, 0, 3, 0, 0, 4, 4, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 3, 0, 1, 2, 2, 3, 1, 1, 3, 4, 1, 0, 0, 4, 1, 4, 4, 1, 4, 4, 3, 2, 1, 2, 0, 0, 4, 3, 2, 0, 2, 3, 4, 3, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 3, 1, 1, 4, 0, 0, 3, 3, 0, 2, 1, 4, 4, 3, 1, 4, 2, 2, 2, 2, 2, 2, 1, 2, 4, 3, 0, 0, 4, 4, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4, 4, 1, 4, 4, 4, 0, 1, 2, 2, 2, 3, 2, 2, 0, 3, 0, 2, 0, 3, 4, 3, 1, 0, 4, 2, 4, 2, 1, 2, 3, 1, 4, 1, 3, 4, 0, 1] pubkeycol984 = [4, 1, 3, 1, 3, 1, 4, 3, 0, 4, 4, 1, 1, 1, 2, 0, 3, 1, 3, 4, 4, 3, 1, 3, 4, 0, 4, 1, 2, 1, 3, 4, 0, 3, 3, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 3, 0, 3, 0, 2, 1, 4, 3, 0, 3, 0, 2, 2, 1, 1, 3, 3, 1, 2, 4, 4, 4, 0, 0, 2, 0, 1, 3, 3, 3, 1, 3, 4, 4, 2, 0, 2, 3, 2, 0, 3, 0, 0, 1, 4, 0, 1, 3, 3, 1, 4, 0, 2, 3, 0, 2, 2, 1, 2, 0, 3, 3, 4, 1, 4, 1, 4, 4, 1, 2, 1, 0, 2, 0, 1, 0, 0, 3, 2, 3, 1, 3, 2, 2, 2, 0, 0, 2, 2, 1, 3, 3, 2, 3, 3, 2, 0, 3, 3, 0, 0, 2, 4, 4, 0, 2, 1, 2, 3, 3, 0, 2, 3, 3, 4, 4, 1, 4, 0, 4, 1, 4, 1, 1, 2, 1, 0, 3, 3, 1, 2, 1, 2, 4, 1, 0, 2, 4, 2, 3, 0, 4, 2, 4, 4, 0, 2, 4, 2, 1, 2, 3, 3, 4, 1, 2, 1, 4, 2, 3, 0, 4, 2, 2, 4, 0, 3, 3, 0, 0, 1, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 0, 0, 4, 2, 2, 1, 2, 0, 4, 3, 4, 1, 4, 0, 2, 4, 2, 0, 3, 1, 2, 0, 1, 1, 4, 2, 3, 1, 1, 2, 2, 1, 4, 1, 4, 0, 2, 1, 1, 1, 2, 3, 0, 3, 0, 3, 2, 0, 1, 2, 2, 4, 0, 3, 4, 4, 4, 4, 3, 4, 0, 0, 0, 0, 1, 0, 0, 2, 3, 0, 0, 3, 3, 3, 1, 4, 4, 2, 2, 0, 3, 0, 0, 2, 4, 2, 4, 2, 3, 3, 3, 2, 2, 3, 1, 0, 3, 2, 4, 2, 0, 3, 4, 3, 1, 0, 3, 3, 1, 4, 1, 2, 4, 2, 0, 1, 2, 0, 3, 4, 2, 1, 2, 0, 2, 1, 1, 1, 1, 3, 0, 3, 4, 2, 3, 2, 0, 3, 3, 3, 2, 1, 2, 4, 1, 2, 2, 4, 3, 1, 4, 3, 3, 0, 3, 0, 2, 2, 3, 2, 3, 3, 1, 0, 1, 1, 4, 0, 1, 3, 2, 2, 4, 1] pubkeycol985 = [4, 0, 4, 2, 1, 3, 2, 4, 3, 1, 2, 1, 0, 0, 1, 0, 3, 4, 3, 2, 0, 2, 4, 2, 0, 4, 4, 2, 1, 4, 4, 4, 4, 3, 1, 1, 2, 0, 3, 2, 3, 0, 3, 4, 1, 2, 2, 0, 4, 3, 2, 2, 2, 0, 4, 0, 0, 1, 0, 0, 2, 4, 2, 3, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 3, 4, 4, 4, 1, 0, 3, 3, 1, 1, 1, 0, 3, 2, 4, 0, 2, 2, 2, 1, 4, 4, 2, 0, 0, 4, 1, 4, 0, 3, 3, 2, 1, 3, 3, 0, 4, 2, 2, 4, 0, 2, 0, 0, 3, 4, 4, 1, 0, 3, 1, 2, 3, 0, 4, 0, 0, 1, 3, 0, 3, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 4, 2, 3, 2, 2, 0, 3, 3, 4, 0, 4, 0, 0, 0, 4, 4, 4, 2, 4, 4, 3, 3, 1, 1, 1, 2, 0, 2, 3, 2, 3, 1, 4, 4, 1, 1, 3, 0, 3, 3, 3, 1, 1, 1, 2, 3, 3, 2, 0, 0, 3, 0, 3, 4, 0, 4, 1, 3, 1, 1, 3, 4, 1, 1, 1, 4, 1, 0, 2, 0, 1, 2, 2, 2, 4, 0, 4, 3, 1, 0, 4, 3, 0, 1, 0, 1, 1, 0, 4, 0, 2, 3, 1, 2, 0, 2, 1, 1, 3, 2, 1, 2, 0, 4, 2, 1, 2, 3, 0, 2, 1, 0, 2, 0, 1, 1, 0, 4, 1, 3, 4, 4, 0, 2, 4, 0, 3, 3, 1, 2, 1, 0, 0, 0, 2, 4, 1, 1, 1, 1, 2, 2, 1, 2, 0, 4, 2, 4, 1, 2, 0, 1, 3, 3, 2, 0, 3, 2, 4, 0, 1, 2, 2, 4, 1, 0, 2, 0, 1, 4, 0, 4, 0, 2, 2, 1, 4, 4, 2, 2, 1, 0, 3, 3, 2, 2, 0, 0, 4, 0, 0, 1, 2, 0, 4, 0, 3, 0, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 0, 4, 4, 1, 1, 3, 1, 4, 3, 2, 2, 2, 3, 1, 4, 1, 3, 3, 3, 1, 1, 0, 4, 4, 0, 3, 1, 4, 0, 0, 3, 0, 4, 3, 4, 3, 1, 0, 3, 1] pubkeycol986 = [3, 4, 0, 4, 3, 3, 4, 1, 3, 1, 2, 4, 4, 3, 2, 1, 4, 2, 1, 3, 1, 1, 3, 3, 0, 4, 4, 4, 2, 2, 1, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 0, 0, 1, 0, 1, 0, 3, 0, 1, 3, 0, 3, 1, 1, 1, 0, 0, 4, 0, 1, 1, 0, 3, 2, 1, 3, 0, 0, 4, 4, 1, 0, 4, 4, 1, 0, 2, 4, 2, 4, 1, 4, 0, 2, 4, 1, 1, 4, 1, 1, 0, 0, 3, 2, 0, 4, 3, 4, 1, 1, 3, 4, 3, 0, 0, 2, 4, 4, 3, 3, 4, 3, 1, 2, 4, 3, 1, 3, 4, 1, 1, 4, 1, 3, 4, 4, 0, 4, 2, 3, 3, 1, 3, 0, 2, 1, 3, 3, 1, 4, 3, 2, 3, 0, 4, 1, 4, 0, 3, 2, 1, 4, 0, 0, 0, 3, 2, 1, 4, 4, 1, 0, 1, 3, 4, 4, 3, 2, 3, 3, 2, 2, 4, 3, 2, 4, 4, 2, 4, 0, 1, 4, 0, 1, 0, 3, 1, 4, 1, 3, 3, 3, 2, 4, 3, 0, 3, 4, 1, 4, 0, 4, 0, 2, 3, 4, 4, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 3, 1, 2, 2, 0, 3, 0, 4, 4, 0, 3, 1, 3, 1, 3, 1, 1, 3, 4, 2, 3, 2, 0, 0, 4, 0, 1, 3, 1, 3, 3, 3, 4, 3, 4, 2, 1, 4, 2, 2, 3, 2, 4, 3, 0, 4, 0, 0, 2, 4, 3, 3, 3, 2, 3, 1, 4, 1, 2, 1, 1, 1, 4, 1, 0, 1, 1, 1, 0, 3, 2, 2, 2, 3, 2, 3, 4, 1, 4, 4, 3, 0, 4, 2, 2, 4, 0, 1, 0, 4, 2, 1, 4, 4, 2, 4, 2, 2, 1, 3, 4, 3, 0, 0, 0, 2, 0, 3, 1, 0, 3, 0, 2, 3, 4, 4, 1, 0, 4, 2, 0, 1, 2, 0, 2, 3, 2, 0, 1, 1, 0, 3, 1, 3, 3, 1, 2, 4, 0, 2, 4, 2, 0, 2, 1, 4, 0, 0, 2, 2, 3, 0, 4, 3, 2, 3, 0, 4, 0, 3, 4, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 4, 1, 4, 1, 2, 3, 1, 3, 4, 1] pubkeycol987 = [1, 4, 0, 1, 0, 4, 1, 2, 4, 4, 1, 4, 3, 0, 4, 2, 4, 3, 4, 4, 3, 4, 1, 2, 3, 0, 3, 1, 4, 1, 0, 3, 3, 2, 1, 2, 2, 4, 3, 0, 4, 1, 4, 4, 4, 4, 4, 1, 3, 4, 1, 1, 4, 0, 0, 3, 2, 1, 4, 0, 1, 1, 3, 4, 0, 0, 0, 4, 4, 1, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 2, 2, 3, 1, 0, 1, 0, 1, 3, 4, 0, 3, 3, 1, 4, 0, 3, 1, 1, 3, 4, 1, 4, 4, 3, 4, 4, 4, 2, 3, 1, 0, 4, 4, 4, 4, 0, 3, 1, 0, 3, 1, 1, 1, 3, 2, 4, 3, 2, 2, 4, 2, 1, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 4, 2, 4, 1, 0, 2, 2, 3, 4, 3, 0, 2, 0, 2, 4, 0, 1, 2, 0, 4, 4, 2, 3, 1, 1, 0, 4, 1, 3, 2, 4, 1, 1, 3, 1, 1, 2, 4, 3, 0, 0, 4, 3, 3, 4, 4, 0, 2, 2, 2, 2, 1, 1, 0, 1, 4, 1, 0, 3, 2, 4, 3, 4, 2, 4, 2, 2, 0, 1, 4, 2, 2, 4, 2, 1, 1, 2, 3, 3, 4, 2, 4, 2, 3, 0, 4, 2, 4, 3, 2, 3, 0, 3, 0, 4, 0, 0, 2, 4, 0, 0, 4, 4, 1, 3, 3, 4, 0, 2, 3, 3, 3, 1, 2, 2, 1, 4, 1, 2, 1, 0, 0, 3, 3, 3, 3, 2, 0, 0, 4, 4, 3, 0, 4, 1, 0, 2, 0, 2, 4, 4, 0, 0, 4, 0, 3, 3, 3, 0, 2, 4, 4, 4, 1, 2, 4, 3, 4, 3, 2, 1, 4, 4, 4, 3, 3, 0, 2, 2, 3, 1, 4, 1, 2, 2, 2, 0, 1, 0, 4, 0, 4, 2, 3, 1, 1, 1, 2, 4, 1, 0, 0, 1, 1, 3, 3, 4, 3, 1, 3, 3, 2, 2, 0, 0, 0, 3, 1, 4, 2, 0, 0, 1, 1, 2, 4, 3, 3, 2, 0, 4, 1, 4, 3, 0, 0, 2, 0, 2, 3, 3, 1, 3, 1, 1, 4, 0, 3, 1, 1, 0, 1, 0, 1, 3, 3, 0, 0, 2, 4, 1, 0, 2, 0] pubkeycol988 = [1, 1, 4, 2, 1, 4, 0, 3, 0, 1, 2, 4, 3, 1, 1, 1, 1, 3, 0, 4, 0, 2, 1, 4, 3, 3, 1, 3, 0, 4, 3, 0, 4, 0, 3, 2, 2, 1, 2, 0, 0, 3, 1, 4, 1, 2, 4, 0, 2, 1, 0, 1, 3, 1, 0, 0, 4, 1, 2, 3, 1, 2, 0, 2, 2, 4, 4, 2, 0, 0, 3, 3, 4, 0, 4, 4, 4, 0, 0, 4, 3, 1, 3, 3, 4, 3, 4, 3, 1, 1, 1, 2, 0, 3, 3, 4, 1, 0, 2, 4, 0, 0, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 4, 2, 1, 1, 3, 3, 0, 0, 1, 3, 2, 3, 3, 0, 1, 0, 2, 1, 3, 1, 1, 1, 3, 0, 3, 2, 4, 4, 3, 4, 4, 1, 1, 1, 3, 1, 3, 2, 3, 4, 0, 3, 1, 1, 1, 0, 0, 4, 0, 4, 3, 1, 1, 2, 0, 4, 0, 0, 2, 1, 2, 2, 2, 0, 1, 4, 0, 3, 0, 4, 1, 3, 4, 1, 1, 1, 1, 0, 3, 1, 1, 4, 2, 2, 1, 3, 1, 0, 2, 0, 4, 4, 0, 3, 2, 2, 1, 1, 1, 2, 0, 0, 3, 0, 3, 4, 4, 0, 2, 0, 4, 2, 1, 3, 1, 2, 1, 4, 0, 0, 3, 1, 0, 0, 1, 0, 2, 2, 4, 3, 4, 4, 1, 3, 0, 0, 0, 3, 4, 3, 4, 2, 1, 2, 4, 1, 3, 3, 2, 4, 0, 2, 4, 0, 1, 4, 3, 4, 0, 2, 2, 4, 0, 0, 2, 0, 0, 4, 4, 0, 3, 1, 2, 1, 1, 2, 4, 2, 3, 4, 0, 4, 0, 3, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 4, 4, 1, 3, 2, 2, 3, 2, 1, 1, 0, 4, 0, 2, 4, 2, 1, 2, 1, 3, 4, 2, 1, 1, 2, 1, 4, 3, 2, 4, 0, 3, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 4, 0, 3, 4, 3, 4, 2, 0, 1, 4, 4, 4, 3, 4, 2, 0, 1, 4, 1, 1, 0, 4, 0, 1, 3, 3, 1, 2, 3, 1, 2, 2, 2, 3, 0, 0, 4, 4, 3, 1, 2, 1, 1, 1, 0, 3, 4, 2, 3, 4] pubkeycol989 = [4, 2, 1, 0, 1, 1, 4, 2, 0, 3, 2, 0, 0, 1, 1, 3, 0, 3, 2, 1, 2, 2, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 3, 1, 0, 4, 1, 0, 3, 1, 4, 0, 4, 2, 2, 0, 0, 1, 3, 0, 3, 2, 1, 1, 1, 4, 3, 0, 4, 4, 1, 1, 3, 1, 0, 1, 1, 2, 4, 1, 2, 0, 0, 2, 0, 3, 3, 2, 4, 1, 3, 4, 0, 3, 3, 3, 4, 2, 0, 3, 0, 3, 0, 1, 4, 0, 2, 1, 3, 2, 4, 2, 3, 2, 4, 4, 4, 0, 1, 1, 3, 4, 4, 1, 0, 4, 1, 1, 1, 1, 3, 0, 2, 3, 0, 1, 0, 3, 3, 2, 3, 2, 2, 4, 2, 4, 1, 3, 1, 0, 1, 4, 3, 4, 3, 3, 2, 4, 1, 2, 1, 3, 2, 2, 1, 4, 3, 2, 3, 4, 4, 0, 4, 4, 4, 1, 4, 0, 3, 0, 0, 0, 3, 0, 1, 4, 1, 0, 1, 2, 1, 4, 4, 1, 0, 3, 4, 1, 1, 3, 3, 3, 2, 2, 1, 2, 4, 1, 3, 4, 2, 4, 4, 4, 3, 2, 4, 1, 4, 2, 1, 3, 3, 4, 2, 4, 3, 4, 4, 4, 2, 0, 1, 4, 3, 0, 3, 3, 1, 4, 0, 2, 0, 1, 4, 0, 2, 0, 0, 3, 0, 4, 4, 2, 3, 3, 3, 4, 1, 4, 4, 4, 3, 3, 1, 4, 2, 0, 0, 3, 2, 4, 3, 3, 4, 4, 1, 4, 0, 1, 4, 1, 0, 0, 0, 2, 4, 3, 2, 3, 2, 2, 3, 2, 0, 0, 3, 3, 3, 0, 2, 2, 4, 3, 1, 1, 1, 0, 1, 0, 0, 4, 4, 4, 3, 0, 4, 4, 2, 4, 1, 0, 2, 3, 4, 0, 1, 0, 4, 4, 0, 4, 3, 0, 2, 1, 2, 4, 1, 2, 3, 0, 0, 0, 2, 1, 1, 3, 4, 0, 0, 1, 0, 2, 4, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 3, 2, 0, 0, 3, 3, 3, 4, 0, 4, 1, 4, 2, 4, 2, 2, 1, 1, 3, 4, 1, 3, 2, 0, 2, 2, 3, 3, 1, 3, 1, 4, 0, 2, 2, 4, 1] pubkeycol990 = [2, 2, 0, 4, 1, 4, 1, 4, 4, 0, 2, 3, 1, 2, 1, 4, 0, 4, 0, 4, 3, 4, 0, 1, 0, 2, 1, 3, 4, 1, 1, 3, 2, 3, 4, 1, 2, 0, 0, 4, 4, 1, 3, 2, 0, 4, 3, 1, 3, 3, 4, 3, 4, 2, 3, 0, 3, 3, 4, 1, 1, 2, 0, 3, 3, 4, 0, 4, 4, 1, 4, 4, 4, 0, 0, 3, 2, 4, 3, 2, 3, 4, 4, 0, 4, 4, 0, 1, 2, 0, 3, 0, 4, 3, 2, 2, 0, 1, 0, 3, 4, 2, 3, 0, 0, 0, 3, 3, 1, 0, 2, 4, 3, 3, 0, 3, 4, 2, 4, 2, 4, 3, 0, 2, 3, 2, 0, 3, 2, 0, 2, 3, 2, 1, 3, 1, 4, 1, 4, 4, 1, 3, 1, 1, 1, 4, 3, 0, 4, 1, 3, 0, 2, 1, 0, 1, 4, 3, 3, 2, 2, 3, 0, 3, 3, 0, 4, 1, 3, 0, 0, 0, 4, 3, 1, 1, 0, 0, 0, 1, 2, 4, 0, 2, 1, 1, 4, 3, 2, 3, 2, 4, 4, 4, 0, 2, 2, 3, 3, 1, 2, 1, 0, 0, 3, 4, 4, 4, 2, 2, 4, 2, 0, 3, 2, 0, 3, 4, 4, 3, 4, 1, 0, 1, 3, 3, 1, 4, 0, 3, 1, 3, 2, 1, 2, 4, 3, 0, 0, 1, 4, 0, 4, 1, 0, 4, 2, 2, 4, 0, 0, 0, 4, 0, 1, 3, 4, 2, 4, 2, 2, 4, 0, 2, 3, 1, 3, 4, 2, 2, 1, 2, 4, 4, 1, 3, 2, 2, 4, 0, 4, 4, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 3, 3, 2, 0, 2, 0, 2, 0, 4, 2, 4, 1, 0, 0, 0, 1, 4, 3, 1, 2, 4, 0, 3, 1, 1, 0, 2, 2, 4, 2, 1, 0, 3, 3, 2, 4, 2, 2, 4, 1, 1, 1, 3, 2, 1, 0, 3, 3, 4, 4, 3, 1, 0, 2, 4, 4, 0, 1, 2, 1, 2, 1, 3, 1, 1, 1, 4, 4, 1, 2, 0, 1, 3, 2, 4, 2, 1, 0, 1, 3, 1, 1, 3, 3, 2, 4, 2, 0, 2, 4, 3, 0, 2, 1, 2, 2, 2, 3, 0, 0, 2, 3, 0, 4, 4, 3, 4, 3] pubkeycol991 = [4, 2, 4, 0, 2, 4, 3, 0, 0, 0, 0, 4, 2, 3, 3, 3, 0, 4, 2, 2, 1, 4, 4, 2, 1, 2, 3, 0, 3, 0, 2, 0, 3, 1, 4, 2, 0, 3, 4, 4, 3, 4, 3, 1, 1, 0, 3, 1, 3, 1, 0, 0, 2, 3, 1, 0, 0, 4, 2, 1, 2, 2, 0, 0, 3, 4, 3, 1, 0, 1, 2, 4, 0, 0, 1, 3, 1, 0, 3, 0, 2, 4, 4, 4, 4, 1, 4, 4, 2, 2, 2, 4, 4, 1, 2, 2, 3, 2, 2, 2, 0, 0, 4, 2, 2, 1, 0, 4, 0, 2, 0, 4, 3, 0, 1, 3, 4, 1, 4, 2, 0, 0, 1, 3, 1, 3, 3, 2, 4, 2, 3, 0, 4, 2, 3, 0, 2, 0, 3, 1, 0, 1, 1, 3, 1, 3, 0, 3, 3, 4, 2, 3, 1, 3, 0, 3, 1, 1, 4, 2, 4, 2, 2, 1, 2, 4, 1, 4, 1, 1, 1, 3, 0, 3, 3, 3, 3, 3, 1, 1, 0, 0, 4, 2, 0, 4, 2, 0, 1, 0, 2, 3, 0, 0, 0, 2, 4, 4, 4, 0, 2, 0, 1, 4, 2, 4, 2, 3, 1, 4, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 3, 0, 0, 3, 3, 0, 0, 4, 1, 4, 4, 1, 3, 1, 3, 1, 1, 4, 1, 3, 2, 1, 2, 4, 0, 1, 4, 3, 2, 0, 3, 2, 3, 3, 3, 3, 0, 3, 1, 4, 4, 3, 0, 4, 3, 3, 2, 0, 0, 2, 2, 1, 0, 3, 2, 2, 1, 2, 1, 1, 2, 4, 2, 1, 0, 1, 4, 0, 4, 0, 0, 4, 3, 3, 2, 3, 2, 0, 4, 1, 2, 2, 2, 1, 0, 3, 4, 3, 3, 4, 2, 3, 2, 3, 0, 0, 0, 1, 2, 2, 0, 3, 1, 0, 2, 3, 3, 3, 0, 1, 2, 1, 2, 1, 4, 0, 2, 4, 2, 3, 1, 2, 0, 0, 4, 3, 2, 1, 3, 0, 1, 2, 1, 1, 2, 4, 0, 4, 2, 1, 4, 1, 1, 0, 4, 3, 2, 2, 0, 2, 4, 2, 3, 4, 2, 4, 4, 3, 4, 4, 0, 1, 4, 2, 2, 1, 4, 4, 0, 0, 3, 2, 3, 4, 1, 1, 4, 1, 0, 2] pubkeycol992 = [0, 2, 1, 4, 0, 2, 3, 0, 4, 2, 1, 4, 2, 0, 4, 3, 2, 0, 4, 4, 2, 2, 3, 2, 1, 4, 2, 3, 3, 4, 3, 0, 4, 3, 4, 2, 3, 0, 4, 3, 1, 0, 1, 3, 2, 4, 3, 0, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2, 3, 1, 4, 2, 3, 1, 1, 3, 3, 3, 1, 4, 4, 4, 4, 4, 0, 1, 2, 3, 0, 3, 2, 2, 0, 3, 2, 1, 2, 3, 1, 3, 0, 4, 3, 1, 3, 4, 4, 1, 1, 3, 1, 0, 3, 0, 0, 4, 0, 0, 1, 4, 4, 1, 0, 2, 4, 0, 1, 4, 0, 3, 2, 0, 0, 3, 4, 2, 0, 0, 1, 1, 2, 0, 1, 1, 3, 4, 0, 0, 2, 4, 4, 0, 1, 0, 3, 4, 2, 2, 4, 4, 1, 1, 0, 2, 2, 3, 2, 1, 0, 1, 0, 1, 4, 0, 0, 4, 0, 3, 3, 2, 2, 2, 1, 4, 3, 0, 4, 3, 2, 1, 2, 3, 1, 2, 1, 0, 4, 1, 0, 2, 0, 4, 1, 3, 2, 0, 4, 1, 2, 3, 4, 2, 1, 2, 4, 0, 2, 4, 2, 4, 3, 2, 0, 3, 2, 2, 0, 4, 1, 3, 4, 3, 0, 2, 3, 0, 1, 0, 2, 0, 3, 1, 4, 0, 0, 4, 4, 2, 3, 1, 2, 0, 4, 4, 3, 1, 3, 1, 3, 3, 0, 1, 0, 4, 2, 2, 4, 1, 4, 1, 4, 4, 1, 1, 1, 2, 1, 3, 2, 3, 0, 1, 0, 1, 0, 1, 1, 3, 1, 3, 3, 3, 3, 0, 1, 4, 1, 2, 4, 2, 3, 2, 2, 3, 0, 0, 2, 4, 2, 1, 2, 0, 3, 4, 1, 0, 3, 1, 1, 3, 3, 1, 3, 0, 1, 3, 2, 4, 0, 2, 4, 4, 1, 2, 3, 3, 2, 4, 0, 1, 1, 0, 2, 3, 0, 0, 0, 0, 0, 4, 2, 1, 1, 0, 3, 3, 1, 4, 4, 4, 4, 3, 0, 4, 1, 0, 4, 1, 1, 4, 0, 2, 3, 0, 0, 4, 3, 4, 2, 0, 4, 4, 1, 2, 0, 3, 2, 1, 0, 3, 3, 4, 2, 3, 2, 4, 2, 4, 3, 0, 3, 2, 2, 2, 2, 1, 2, 0, 3, 1] pubkeycol993 = [3, 3, 3, 1, 4, 1, 2, 1, 2, 1, 0, 3, 0, 4, 0, 1, 4, 1, 0, 2, 4, 3, 0, 2, 2, 4, 1, 1, 3, 1, 2, 0, 1, 3, 1, 3, 1, 1, 0, 3, 2, 0, 1, 4, 0, 0, 1, 3, 1, 2, 0, 2, 4, 0, 1, 3, 3, 2, 3, 0, 3, 0, 1, 1, 2, 0, 3, 4, 3, 0, 1, 0, 0, 1, 0, 2, 4, 3, 1, 0, 4, 4, 1, 1, 2, 1, 2, 2, 1, 1, 4, 4, 4, 2, 4, 1, 1, 3, 2, 0, 3, 4, 3, 0, 3, 0, 4, 4, 2, 0, 0, 2, 2, 3, 2, 3, 0, 0, 4, 4, 2, 0, 4, 0, 0, 3, 1, 3, 2, 3, 2, 2, 1, 4, 4, 0, 0, 1, 4, 2, 0, 4, 3, 2, 4, 3, 3, 0, 3, 4, 0, 3, 4, 3, 2, 2, 1, 0, 1, 4, 0, 2, 3, 4, 1, 1, 0, 1, 3, 0, 2, 3, 0, 1, 2, 2, 0, 3, 2, 4, 1, 2, 0, 1, 2, 0, 0, 1, 1, 4, 0, 0, 3, 4, 4, 1, 1, 0, 0, 2, 1, 0, 2, 4, 4, 4, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 3, 3, 1, 4, 2, 3, 2, 1, 4, 4, 2, 2, 0, 2, 3, 3, 4, 3, 0, 4, 2, 3, 3, 3, 3, 4, 3, 3, 2, 1, 1, 2, 0, 1, 1, 0, 3, 3, 1, 2, 4, 3, 3, 2, 2, 0, 2, 1, 4, 0, 3, 2, 0, 0, 2, 0, 1, 4, 4, 2, 0, 3, 2, 3, 0, 4, 3, 2, 0, 2, 2, 1, 0, 4, 2, 0, 3, 3, 3, 4, 3, 1, 4, 2, 4, 1, 3, 3, 4, 0, 1, 4, 1, 3, 4, 4, 3, 0, 1, 0, 3, 1, 3, 1, 0, 3, 3, 0, 0, 0, 3, 4, 1, 0, 0, 3, 4, 0, 3, 2, 2, 4, 2, 2, 1, 4, 1, 4, 1, 1, 0, 1, 1, 4, 1, 4, 1, 4, 4, 4, 1, 3, 3, 0, 4, 4, 1, 2, 0, 3, 0, 4, 4, 0, 2, 2, 2, 1, 2, 3, 2, 1, 1, 4, 2, 3, 4, 2, 1, 0, 4, 2, 3, 2, 3, 1, 1, 3, 3, 2, 1, 1, 1] pubkeycol994 = [4, 0, 2, 0, 4, 3, 0, 1, 2, 2, 0, 0, 1, 2, 3, 4, 0, 2, 4, 0, 2, 2, 3, 2, 0, 1, 4, 0, 2, 2, 2, 1, 1, 3, 2, 0, 2, 0, 2, 1, 3, 1, 4, 1, 0, 1, 2, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 3, 1, 0, 4, 3, 4, 1, 2, 1, 4, 0, 0, 3, 4, 3, 3, 2, 4, 3, 2, 4, 2, 4, 4, 0, 3, 1, 3, 2, 4, 0, 3, 1, 1, 3, 0, 0, 0, 4, 0, 1, 3, 1, 0, 3, 1, 1, 4, 3, 1, 4, 0, 1, 1, 4, 0, 4, 3, 1, 1, 1, 3, 4, 0, 3, 3, 2, 1, 1, 1, 1, 0, 3, 1, 0, 4, 2, 0, 4, 4, 0, 1, 3, 1, 2, 0, 2, 1, 2, 4, 3, 0, 4, 0, 3, 3, 4, 3, 1, 3, 2, 1, 4, 4, 3, 0, 4, 4, 3, 1, 4, 4, 3, 1, 4, 3, 4, 4, 0, 0, 4, 2, 2, 4, 0, 4, 0, 0, 2, 0, 3, 3, 1, 1, 0, 4, 2, 2, 3, 3, 0, 2, 4, 2, 4, 0, 0, 4, 4, 4, 1, 4, 1, 0, 4, 4, 4, 2, 1, 2, 0, 1, 4, 4, 1, 3, 2, 3, 3, 0, 0, 0, 2, 4, 4, 2, 4, 2, 1, 0, 1, 2, 3, 3, 2, 0, 4, 2, 4, 1, 3, 3, 3, 3, 1, 3, 2, 4, 1, 0, 1, 0, 3, 2, 3, 4, 2, 4, 2, 4, 3, 1, 1, 0, 2, 4, 4, 0, 2, 2, 1, 3, 2, 3, 0, 4, 2, 1, 0, 0, 2, 0, 3, 1, 4, 0, 3, 3, 3, 1, 0, 4, 1, 3, 3, 2, 1, 1, 4, 1, 4, 2, 4, 4, 3, 4, 0, 0, 1, 2, 2, 4, 0, 2, 4, 3, 3, 4, 4, 4, 3, 1, 4, 2, 2, 0, 3, 0, 2, 1, 3, 0, 3, 1, 0, 0, 0, 3, 1, 2, 0, 0, 2, 0, 1, 4, 2, 4, 3, 3, 3, 4, 4, 4, 0, 2, 1, 1, 1, 4, 2, 1, 4, 4, 2, 3, 3, 0, 2, 1, 3, 2, 3, 2, 3, 4, 0, 1, 0, 4, 3, 4, 4, 2, 3, 1, 4, 3, 2, 2, 3] pubkeycol995 = [1, 0, 2, 0, 3, 2, 0, 1, 0, 3, 3, 0, 2, 3, 3, 2, 2, 2, 0, 4, 4, 2, 0, 3, 0, 2, 4, 2, 1, 3, 2, 4, 4, 3, 4, 1, 0, 2, 4, 3, 1, 2, 1, 3, 3, 3, 4, 2, 4, 3, 4, 4, 4, 0, 2, 3, 2, 1, 1, 0, 3, 1, 0, 0, 1, 4, 3, 1, 1, 1, 4, 0, 1, 0, 4, 1, 4, 0, 4, 1, 3, 2, 3, 2, 1, 0, 4, 4, 0, 0, 4, 0, 2, 2, 1, 2, 2, 3, 4, 1, 2, 2, 1, 4, 3, 3, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 4, 1, 0, 4, 4, 4, 4, 3, 1, 4, 0, 1, 3, 4, 1, 3, 3, 2, 2, 4, 2, 1, 2, 0, 1, 4, 2, 4, 2, 0, 2, 1, 1, 0, 0, 4, 0, 1, 4, 3, 0, 0, 0, 4, 2, 1, 3, 3, 2, 0, 2, 4, 3, 1, 3, 3, 3, 1, 3, 1, 2, 4, 0, 0, 3, 3, 1, 4, 4, 4, 0, 2, 2, 1, 3, 2, 0, 0, 1, 4, 3, 1, 0, 4, 0, 2, 2, 1, 3, 1, 1, 0, 1, 4, 0, 4, 4, 3, 2, 1, 1, 2, 3, 4, 1, 0, 4, 4, 0, 2, 0, 1, 0, 1, 0, 4, 0, 2, 0, 1, 1, 4, 1, 2, 0, 1, 1, 0, 4, 1, 0, 0, 2, 3, 1, 4, 3, 0, 3, 3, 3, 4, 2, 1, 4, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 3, 0, 2, 4, 0, 0, 1, 0, 0, 1, 0, 0, 3, 2, 1, 3, 2, 1, 3, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 3, 2, 3, 0, 2, 1, 4, 2, 0, 4, 0, 4, 0, 2, 3, 0, 1, 4, 4, 4, 3, 4, 4, 1, 3, 2, 4, 0, 4, 0, 0, 2, 4, 3, 2, 0, 3, 4, 1, 1, 3, 1, 1, 1, 4, 1, 1, 2, 3, 2, 1, 0, 1, 0, 0, 0, 3, 2, 4, 4, 4, 3, 1, 1, 2, 3, 4, 0, 1, 1, 4, 4, 4, 0, 3, 4, 0, 0, 3, 1, 0, 2, 1, 2, 4, 4, 0, 4, 0, 4, 2, 2, 0, 0, 4, 3, 1, 1, 0] pubkeycol996 = [3, 3, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 3, 0, 4, 1, 1, 0, 3, 0, 3, 0, 4, 1, 0, 2, 3, 0, 2, 0, 4, 2, 1, 1, 2, 0, 2, 4, 2, 4, 1, 2, 1, 3, 2, 2, 2, 2, 4, 0, 4, 2, 2, 0, 4, 1, 2, 0, 0, 1, 3, 1, 0, 2, 2, 4, 1, 0, 4, 2, 2, 3, 0, 4, 4, 0, 4, 3, 0, 3, 3, 2, 2, 3, 2, 3, 0, 4, 1, 4, 3, 1, 0, 4, 4, 2, 2, 0, 4, 2, 3, 4, 4, 2, 0, 1, 3, 4, 4, 1, 3, 1, 0, 2, 1, 0, 3, 2, 4, 3, 4, 3, 1, 2, 4, 3, 0, 2, 3, 1, 1, 4, 4, 1, 1, 3, 2, 4, 4, 1, 3, 3, 3, 1, 0, 3, 1, 4, 0, 3, 0, 2, 2, 0, 4, 2, 4, 2, 4, 0, 4, 3, 4, 4, 0, 1, 0, 1, 4, 1, 1, 4, 3, 0, 1, 2, 3, 4, 2, 4, 4, 4, 2, 1, 4, 4, 1, 4, 1, 0, 0, 0, 4, 3, 2, 3, 4, 1, 3, 0, 0, 3, 3, 2, 2, 1, 0, 0, 1, 3, 0, 3, 2, 0, 0, 0, 0, 1, 2, 3, 4, 1, 1, 0, 3, 4, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 3, 4, 0, 4, 3, 1, 1, 4, 3, 2, 0, 3, 2, 1, 1, 0, 4, 3, 4, 4, 4, 4, 3, 0, 3, 4, 3, 0, 0, 2, 0, 3, 3, 4, 4, 0, 1, 3, 0, 2, 2, 1, 1, 1, 1, 3, 1, 0, 3, 1, 0, 0, 0, 1, 1, 3, 3, 1, 3, 2, 4, 4, 3, 0, 2, 0, 3, 4, 4, 3, 4, 4, 2, 0, 3, 4, 4, 2, 4, 4, 1, 4, 4, 0, 0, 1, 0, 4, 0, 1, 2, 2, 0, 0, 2, 4, 4, 3, 0, 0, 1, 3, 3, 2, 0, 0, 3, 0, 3, 0, 1, 2, 3, 2, 4, 2, 3, 1, 1, 4, 2, 1, 2, 1, 0, 3, 4, 3, 3, 3, 2, 2, 2, 4, 3, 0, 1, 3, 1, 3, 4, 3, 0, 2, 3, 3, 2, 0, 2, 0, 3, 4, 0, 3, 4, 0, 2, 2, 4, 4, 2, 3] pubkeycol997 = [3, 2, 0, 0, 2, 3, 4, 1, 0, 1, 1, 0, 2, 2, 3, 2, 3, 3, 4, 3, 1, 4, 3, 3, 4, 4, 4, 0, 3, 1, 2, 3, 4, 4, 2, 4, 4, 3, 3, 2, 2, 4, 3, 4, 1, 0, 3, 1, 0, 1, 1, 4, 3, 0, 1, 2, 0, 2, 3, 4, 1, 4, 4, 2, 4, 0, 1, 2, 0, 4, 0, 1, 4, 4, 1, 4, 2, 1, 2, 0, 0, 1, 2, 0, 4, 4, 4, 4, 0, 2, 4, 2, 0, 1, 4, 2, 1, 0, 0, 4, 4, 0, 4, 4, 1, 2, 4, 1, 1, 3, 4, 4, 1, 4, 4, 3, 1, 3, 3, 0, 4, 2, 1, 4, 2, 3, 4, 2, 4, 3, 1, 4, 3, 3, 0, 3, 4, 3, 3, 3, 2, 0, 0, 2, 4, 2, 4, 4, 0, 4, 1, 0, 2, 3, 4, 1, 2, 2, 0, 0, 3, 1, 1, 4, 3, 0, 2, 1, 1, 1, 3, 4, 2, 3, 3, 2, 4, 0, 2, 4, 4, 3, 0, 0, 4, 2, 3, 3, 2, 0, 0, 2, 2, 3, 4, 0, 2, 0, 3, 1, 4, 2, 4, 0, 0, 1, 0, 2, 0, 3, 4, 0, 3, 0, 0, 1, 3, 1, 1, 0, 2, 0, 3, 1, 2, 0, 1, 1, 3, 2, 0, 3, 2, 1, 2, 3, 1, 2, 2, 0, 1, 4, 3, 4, 3, 3, 3, 2, 3, 2, 3, 2, 3, 4, 4, 3, 3, 1, 0, 0, 3, 4, 0, 2, 0, 4, 2, 2, 3, 1, 0, 1, 0, 4, 4, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 3, 2, 4, 3, 0, 2, 0, 3, 0, 4, 1, 3, 2, 4, 2, 3, 2, 1, 3, 4, 4, 0, 4, 0, 3, 1, 0, 1, 4, 3, 3, 2, 3, 2, 0, 2, 1, 4, 4, 1, 0, 4, 1, 4, 3, 4, 2, 0, 1, 0, 4, 2, 0, 0, 4, 2, 1, 0, 0, 1, 2, 0, 3, 4, 0, 2, 3, 1, 2, 2, 2, 4, 1, 0, 1, 0, 3, 0, 0, 4, 2, 4, 3, 3, 2, 1, 0, 3, 1, 3, 3, 1, 4, 3, 3, 0, 0, 4, 1, 4, 3, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2] pubkeycol998 = [2, 2, 3, 2, 2, 0, 3, 2, 1, 4, 2, 1, 1, 1, 4, 1, 2, 0, 2, 1, 0, 1, 1, 3, 4, 4, 2, 2, 4, 4, 4, 3, 3, 1, 3, 3, 4, 0, 3, 1, 2, 3, 0, 4, 1, 1, 2, 3, 1, 0, 1, 3, 2, 2, 3, 4, 2, 3, 3, 4, 4, 3, 1, 3, 3, 1, 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, 4, 4, 4, 1, 0, 4, 3, 4, 2, 0, 2, 4, 0, 4, 0, 4, 3, 0, 4, 0, 2, 2, 4, 3, 2, 0, 3, 0, 1, 3, 1, 0, 0, 0, 2, 1, 4, 4, 0, 1, 0, 3, 3, 4, 2, 1, 0, 3, 2, 1, 4, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 4, 2, 3, 3, 4, 4, 4, 2, 1, 3, 3, 0, 3, 1, 1, 4, 2, 1, 0, 1, 1, 1, 4, 3, 1, 2, 2, 4, 0, 3, 4, 3, 2, 1, 4, 0, 3, 1, 1, 2, 0, 4, 1, 1, 0, 2, 3, 1, 0, 4, 0, 1, 0, 2, 2, 3, 0, 3, 4, 1, 4, 2, 4, 0, 0, 3, 3, 3, 2, 2, 4, 3, 2, 3, 0, 3, 4, 0, 2, 1, 3, 1, 3, 1, 3, 1, 3, 4, 1, 4, 3, 1, 3, 0, 2, 0, 1, 4, 3, 1, 2, 0, 2, 2, 2, 3, 4, 0, 4, 2, 1, 2, 0, 3, 0, 4, 1, 3, 1, 2, 3, 0, 4, 4, 3, 4, 2, 4, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 3, 3, 4, 4, 1, 3, 0, 1, 4, 2, 1, 0, 1, 0, 2, 4, 1, 0, 2, 0, 0, 3, 0, 1, 1, 3, 2, 2, 4, 2, 4, 2, 0, 4, 1, 1, 3, 2, 1, 1, 4, 1, 3, 2, 1, 1, 2, 4, 3, 2, 1, 4, 0, 3, 0, 3, 4, 1, 0, 4, 2, 0, 4, 3, 4, 0, 3, 2, 2, 3, 4, 1, 1, 4, 1, 2, 1, 4, 3, 2, 1, 1, 0, 3, 4, 3, 3, 4, 0, 1, 3, 1, 0, 3, 0, 3, 0, 4, 3, 3, 2, 4, 1, 4, 3, 3, 1, 3, 2, 1, 4, 1, 2, 0, 4, 4, 2, 3, 1, 1, 1, 2] pubkeycol999 = [2, 3, 2, 0, 1, 1, 2, 3, 3, 1, 0, 1, 3, 0, 0, 0, 1, 0, 4, 3, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 0, 2, 2, 2, 0, 4, 2, 4, 0, 4, 0, 0, 3, 2, 0, 1, 1, 0, 0, 0, 1, 4, 4, 4, 1, 1, 3, 0, 1, 3, 2, 1, 2, 3, 2, 0, 0, 1, 2, 4, 3, 2, 3, 1, 4, 4, 0, 2, 0, 1, 3, 2, 4, 3, 2, 1, 3, 3, 4, 1, 3, 4, 0, 4, 0, 3, 3, 3, 1, 0, 2, 3, 1, 4, 4, 1, 4, 0, 4, 3, 4, 0, 2, 4, 0, 0, 3, 1, 4, 3, 2, 2, 0, 2, 4, 3, 1, 1, 2, 3, 1, 1, 4, 2, 2, 1, 1, 0, 4, 3, 4, 2, 0, 0, 1, 2, 0, 1, 0, 2, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 1, 4, 2, 1, 0, 3, 3, 0, 1, 3, 3, 3, 0, 3, 0, 4, 4, 0, 0, 1, 0, 3, 1, 2, 2, 3, 2, 1, 4, 0, 2, 0, 4, 4, 0, 2, 1, 4, 4, 1, 0, 2, 4, 3, 1, 0, 4, 1, 3, 0, 4, 0, 3, 3, 4, 0, 1, 0, 2, 4, 4, 1, 0, 2, 1, 0, 1, 1, 0, 3, 4, 2, 3, 4, 3, 0, 1, 2, 3, 3, 3, 0, 1, 2, 0, 4, 3, 2, 2, 3, 4, 3, 4, 0, 4, 1, 4, 0, 3, 3, 1, 1, 4, 0, 3, 4, 2, 2, 3, 1, 3, 3, 4, 3, 3, 4, 3, 3, 4, 2, 3, 0, 4, 4, 3, 4, 1, 2, 2, 0, 3, 2, 0, 2, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 3, 3, 0, 1, 3, 0, 4, 3, 2, 3, 3, 3, 2, 3, 0, 1, 3, 0, 1, 4, 0, 1, 4, 1, 4, 3, 1, 2, 1, 3, 2, 0, 0, 2, 0, 2, 0, 3, 3, 3, 2, 2, 0, 1, 0, 0, 0, 4, 1, 0, 0, 1, 3, 1, 1, 4, 1, 3, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 3, 2, 0, 0, 1, 3, 1, 4, 1, 0, 4, 0, 4, 1, 0, 1, 4, 0, 4, 4, 4, 2, 1, 3] pubkeycol1000 = [2, 3, 1, 2, 2, 2, 3, 2, 2, 2, 0, 1, 4, 4, 2, 4, 3, 2, 3, 1, 1, 3, 0, 0, 1, 4, 2, 0, 4, 2, 1, 1, 3, 1, 4, 1, 2, 0, 3, 4, 2, 4, 2, 0, 0, 2, 1, 0, 2, 4, 2, 4, 1, 4, 1, 0, 1, 2, 2, 0, 3, 2, 0, 3, 0, 3, 3, 1, 3, 0, 4, 4, 4, 1, 0, 1, 0, 4, 3, 2, 0, 1, 1, 0, 1, 2, 3, 1, 4, 1, 0, 3, 2, 0, 0, 2, 3, 4, 4, 0, 1, 2, 2, 2, 4, 3, 2, 0, 2, 1, 1, 3, 3, 0, 2, 2, 4, 1, 3, 2, 2, 3, 1, 2, 0, 4, 3, 4, 2, 1, 0, 2, 4, 4, 3, 2, 0, 2, 3, 1, 4, 3, 3, 0, 1, 4, 2, 0, 1, 0, 2, 2, 0, 3, 4, 3, 0, 4, 0, 4, 3, 2, 0, 3, 4, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 0, 3, 3, 4, 0, 3, 2, 4, 0, 3, 4, 1, 3, 2, 1, 1, 2, 2, 2, 4, 3, 3, 2, 2, 0, 0, 3, 3, 1, 3, 0, 0, 2, 2, 1, 2, 2, 0, 3, 4, 1, 3, 2, 2, 2, 2, 3, 0, 2, 2, 0, 4, 1, 3, 1, 4, 3, 3, 3, 3, 0, 1, 1, 2, 1, 0, 0, 1, 0, 4, 2, 3, 4, 4, 4, 1, 1, 3, 0, 1, 4, 4, 0, 4, 4, 1, 0, 2, 1, 0, 3, 0, 2, 0, 4, 2, 2, 1, 2, 0, 2, 4, 1, 2, 0, 2, 1, 4, 3, 0, 4, 2, 3, 0, 4, 1, 4, 1, 0, 0, 1, 4, 1, 1, 1, 3, 1, 0, 4, 4, 2, 2, 3, 4, 3, 0, 2, 2, 4, 4, 0, 4, 0, 2, 0, 3, 1, 0, 0, 4, 4, 1, 3, 0, 0, 2, 0, 3, 3, 1, 4, 1, 3, 0, 0, 2, 3, 1, 4, 3, 2, 3, 1, 3, 3, 3, 3, 1, 4, 4, 4, 4, 3, 0, 0, 2, 1, 2, 2, 2, 4, 1, 1, 1, 1, 2, 1, 2, 1, 4, 2, 0, 1, 1, 4, 0, 1, 0, 0, 2, 0, 1, 3, 1, 0, 4, 4, 4, 3, 1, 3, 4, 1] pubkeycol1001 = [2, 4, 2, 2, 3, 4, 2, 0, 4, 3, 2, 1, 3, 0, 0, 0, 0, 0, 2, 0, 4, 4, 2, 2, 0, 2, 0, 0, 0, 1, 4, 2, 1, 2, 4, 1, 2, 4, 1, 3, 0, 3, 0, 3, 0, 3, 1, 2, 0, 1, 1, 4, 0, 1, 2, 3, 4, 0, 2, 3, 1, 2, 0, 0, 3, 0, 0, 0, 2, 1, 3, 1, 2, 1, 4, 2, 4, 1, 0, 4, 4, 1, 2, 1, 0, 2, 3, 4, 3, 4, 2, 4, 1, 4, 0, 4, 2, 3, 0, 4, 2, 2, 3, 1, 1, 4, 2, 1, 0, 3, 0, 2, 0, 2, 3, 3, 0, 4, 3, 3, 2, 2, 1, 3, 0, 3, 4, 1, 4, 2, 2, 0, 4, 1, 3, 1, 1, 0, 1, 0, 4, 4, 4, 1, 3, 3, 4, 0, 3, 1, 0, 1, 1, 1, 2, 4, 4, 2, 2, 3, 1, 0, 1, 1, 1, 1, 0, 1, 3, 3, 3, 1, 4, 0, 4, 3, 3, 1, 0, 2, 3, 4, 0, 1, 4, 4, 3, 3, 3, 2, 4, 4, 2, 1, 1, 2, 2, 3, 3, 1, 3, 2, 2, 3, 0, 0, 4, 2, 4, 1, 3, 0, 2, 0, 1, 1, 4, 2, 4, 3, 4, 3, 3, 1, 2, 4, 0, 0, 2, 4, 4, 1, 1, 3, 2, 1, 1, 0, 3, 3, 0, 3, 2, 3, 0, 4, 3, 4, 0, 1, 0, 1, 4, 1, 2, 2, 3, 3, 3, 2, 3, 4, 1, 3, 0, 0, 1, 2, 0, 0, 4, 2, 3, 3, 4, 0, 3, 3, 3, 0, 0, 2, 1, 4, 1, 1, 1, 2, 4, 1, 2, 2, 1, 2, 2, 1, 0, 0, 4, 0, 4, 0, 2, 0, 2, 3, 3, 2, 0, 2, 3, 0, 4, 2, 1, 0, 3, 4, 1, 4, 3, 3, 0, 1, 3, 0, 0, 2, 3, 3, 0, 4, 0, 0, 4, 2, 1, 4, 0, 2, 2, 2, 0, 3, 0, 3, 2, 3, 1, 0, 0, 4, 4, 3, 1, 3, 0, 3, 0, 4, 0, 3, 2, 3, 0, 1, 0, 2, 2, 2, 4, 4, 2, 3, 1, 1, 0, 1, 1, 3, 2, 0, 0, 3, 2, 1, 2, 2, 0, 3, 1, 3, 0, 0, 2, 3, 1, 4, 1, 3] pubkeycol1002 = [1, 4, 0, 4, 0, 2, 2, 4, 2, 2, 3, 3, 1, 4, 3, 2, 1, 0, 2, 2, 1, 1, 1, 1, 4, 3, 4, 1, 2, 2, 0, 4, 0, 4, 3, 2, 3, 0, 2, 3, 1, 3, 1, 4, 0, 2, 3, 4, 2, 3, 4, 0, 0, 2, 1, 3, 1, 3, 4, 0, 3, 2, 2, 1, 4, 4, 1, 0, 0, 4, 4, 1, 0, 0, 3, 3, 0, 1, 0, 1, 1, 4, 0, 0, 4, 4, 0, 3, 0, 3, 4, 3, 1, 4, 3, 4, 0, 3, 4, 2, 4, 2, 4, 3, 1, 4, 3, 2, 2, 4, 1, 4, 1, 0, 2, 0, 4, 0, 4, 3, 1, 3, 0, 3, 3, 4, 0, 1, 3, 3, 4, 4, 4, 1, 2, 1, 4, 1, 4, 3, 2, 4, 1, 2, 4, 4, 2, 3, 4, 0, 0, 1, 2, 3, 4, 0, 1, 2, 2, 2, 2, 1, 0, 3, 1, 0, 0, 3, 2, 1, 1, 2, 0, 4, 2, 4, 4, 3, 2, 1, 1, 4, 3, 3, 2, 3, 3, 1, 0, 4, 4, 2, 2, 1, 2, 4, 1, 0, 4, 4, 4, 4, 2, 1, 4, 3, 2, 1, 1, 2, 0, 3, 3, 3, 1, 2, 1, 3, 2, 0, 2, 3, 3, 1, 0, 2, 2, 1, 3, 4, 0, 3, 1, 4, 1, 3, 2, 3, 1, 1, 3, 3, 4, 2, 2, 4, 0, 3, 3, 0, 0, 4, 2, 4, 3, 0, 4, 3, 2, 0, 1, 1, 3, 3, 4, 2, 4, 2, 2, 3, 1, 1, 2, 4, 3, 3, 1, 2, 0, 0, 1, 1, 0, 4, 4, 1, 2, 2, 2, 2, 0, 1, 1, 1, 3, 2, 3, 2, 3, 0, 4, 3, 3, 0, 3, 0, 0, 4, 0, 0, 2, 4, 1, 0, 4, 4, 3, 0, 2, 1, 1, 2, 2, 3, 4, 3, 3, 3, 1, 1, 0, 2, 0, 4, 2, 3, 1, 4, 1, 4, 1, 4, 4, 2, 3, 2, 4, 3, 1, 0, 3, 2, 1, 3, 4, 3, 2, 2, 2, 0, 3, 3, 1, 4, 3, 4, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 4, 3, 4, 2, 3, 2, 2, 3, 4, 1, 1, 2, 1, 0, 1, 1, 4, 1, 2, 2, 3, 4, 0, 4] pubkeycol1003 = [3, 4, 2, 4, 1, 4, 4, 4, 2, 1, 0, 4, 4, 2, 4, 3, 2, 4, 0, 2, 0, 2, 4, 4, 3, 2, 1, 4, 4, 2, 2, 0, 3, 0, 1, 3, 1, 4, 4, 1, 3, 1, 4, 2, 1, 0, 3, 3, 3, 2, 1, 1, 0, 0, 0, 3, 3, 3, 1, 1, 0, 2, 3, 4, 0, 3, 3, 3, 4, 3, 2, 3, 1, 3, 0, 0, 4, 4, 3, 0, 2, 3, 3, 1, 4, 2, 2, 3, 2, 0, 1, 4, 0, 2, 2, 3, 4, 0, 1, 1, 0, 2, 3, 0, 4, 4, 2, 4, 2, 0, 1, 2, 2, 3, 1, 2, 2, 2, 0, 3, 0, 3, 2, 1, 4, 3, 4, 0, 2, 0, 3, 4, 1, 0, 1, 2, 0, 3, 3, 4, 0, 2, 1, 4, 4, 0, 0, 2, 3, 1, 2, 0, 0, 3, 0, 0, 4, 3, 0, 0, 4, 1, 1, 0, 3, 4, 2, 1, 0, 1, 4, 1, 0, 1, 2, 1, 1, 1, 1, 2, 4, 2, 3, 3, 2, 2, 0, 1, 3, 1, 3, 1, 2, 4, 3, 2, 1, 2, 1, 4, 3, 0, 4, 2, 1, 1, 0, 2, 3, 3, 2, 1, 3, 2, 2, 3, 3, 1, 3, 4, 4, 1, 1, 3, 3, 2, 3, 3, 0, 2, 1, 1, 0, 1, 4, 3, 3, 1, 1, 1, 1, 2, 2, 0, 3, 0, 1, 3, 4, 1, 2, 0, 0, 1, 4, 0, 4, 1, 1, 1, 2, 0, 3, 0, 3, 0, 2, 0, 1, 3, 0, 2, 3, 3, 2, 0, 3, 3, 3, 2, 3, 2, 1, 3, 4, 1, 4, 1, 0, 2, 3, 4, 1, 4, 1, 3, 4, 2, 0, 0, 4, 3, 1, 4, 0, 3, 2, 0, 0, 0, 0, 4, 3, 2, 4, 3, 3, 3, 3, 4, 4, 1, 0, 2, 1, 1, 2, 4, 4, 3, 1, 0, 0, 0, 3, 2, 3, 2, 4, 0, 0, 2, 2, 4, 4, 4, 2, 2, 0, 4, 3, 1, 2, 4, 0, 2, 2, 2, 3, 3, 4, 0, 4, 4, 3, 1, 4, 3, 2, 2, 3, 3, 2, 2, 4, 0, 1, 4, 4, 0, 1, 1, 4, 0, 3, 2, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 3, 3, 3] pubkeycol1004 = [2, 4, 4, 1, 1, 2, 2, 2, 0, 2, 0, 3, 2, 1, 4, 3, 0, 0, 2, 4, 1, 2, 1, 1, 0, 0, 1, 3, 4, 3, 0, 1, 0, 3, 2, 4, 0, 1, 1, 0, 3, 0, 3, 0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 2, 2, 0, 2, 4, 3, 3, 1, 3, 3, 0, 1, 3, 3, 2, 3, 3, 0, 4, 0, 3, 0, 3, 3, 3, 3, 1, 0, 4, 1, 1, 1, 3, 3, 1, 1, 0, 4, 3, 2, 3, 0, 4, 2, 2, 1, 1, 3, 4, 0, 3, 2, 0, 1, 0, 3, 2, 3, 1, 2, 1, 3, 3, 3, 1, 2, 2, 1, 2, 3, 4, 0, 3, 3, 2, 0, 2, 3, 0, 3, 0, 0, 3, 1, 0, 4, 2, 0, 1, 0, 2, 2, 1, 0, 0, 3, 4, 1, 1, 4, 0, 4, 2, 1, 3, 0, 3, 4, 4, 2, 4, 4, 3, 2, 0, 4, 3, 2, 2, 3, 0, 0, 2, 4, 1, 3, 3, 4, 4, 3, 0, 4, 2, 3, 2, 0, 0, 0, 1, 3, 1, 3, 1, 3, 0, 3, 2, 4, 1, 0, 0, 4, 0, 0, 4, 0, 3, 4, 1, 3, 2, 1, 4, 1, 4, 2, 3, 3, 2, 0, 1, 2, 1, 0, 2, 4, 3, 0, 4, 4, 4, 1, 0, 3, 1, 3, 4, 2, 2, 0, 2, 0, 2, 3, 0, 3, 0, 3, 2, 2, 2, 4, 4, 4, 1, 3, 3, 0, 0, 3, 0, 3, 0, 1, 0, 1, 1, 4, 1, 2, 1, 1, 0, 4, 0, 2, 2, 4, 0, 1, 1, 2, 3, 0, 1, 3, 1, 0, 0, 0, 4, 3, 4, 1, 1, 3, 2, 2, 2, 3, 3, 2, 0, 3, 1, 0, 2, 1, 3, 1, 0, 0, 4, 2, 0, 1, 1, 3, 1, 3, 4, 0, 3, 1, 3, 1, 0, 3, 4, 4, 0, 2, 1, 2, 1, 0, 1, 3, 0, 0, 3, 2, 4, 4, 0, 1, 3, 4, 3, 4, 2, 3, 4, 3, 3, 2, 2, 2, 1, 4, 3, 3, 3, 0, 1, 1, 4, 1, 3, 0, 4, 2, 2, 4, 1, 3, 4, 2, 2, 4, 2, 0, 4, 0, 4, 4, 2, 3, 4, 3, 3, 4, 2, 2, 4, 1, 3] pubkeycol1005 = [2, 1, 2, 3, 2, 2, 0, 3, 3, 4, 4, 3, 3, 1, 4, 0, 4, 0, 1, 0, 2, 1, 4, 4, 0, 1, 3, 0, 0, 3, 1, 4, 2, 3, 4, 1, 0, 3, 0, 0, 0, 3, 1, 3, 0, 1, 1, 3, 1, 2, 3, 0, 2, 3, 1, 0, 2, 3, 1, 1, 4, 2, 3, 1, 0, 4, 3, 1, 0, 1, 3, 4, 1, 3, 1, 0, 2, 1, 3, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 4, 4, 2, 1, 3, 0, 0, 4, 1, 3, 3, 0, 2, 2, 1, 3, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 4, 1, 4, 0, 2, 0, 0, 4, 0, 3, 4, 0, 0, 4, 0, 4, 3, 0, 4, 0, 4, 4, 3, 1, 1, 4, 1, 4, 4, 1, 1, 0, 1, 3, 3, 0, 3, 1, 3, 4, 0, 3, 3, 3, 0, 2, 3, 2, 2, 0, 4, 4, 0, 4, 3, 0, 2, 4, 1, 1, 1, 0, 0, 3, 1, 1, 4, 3, 1, 0, 2, 1, 2, 3, 2, 0, 1, 1, 2, 0, 1, 4, 3, 4, 2, 1, 3, 3, 4, 2, 3, 1, 3, 4, 0, 1, 3, 4, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 3, 4, 1, 1, 2, 3, 0, 4, 2, 1, 0, 3, 1, 4, 0, 2, 1, 2, 1, 1, 2, 3, 3, 4, 2, 4, 2, 4, 0, 0, 4, 1, 1, 4, 2, 3, 2, 0, 3, 2, 1, 3, 1, 4, 3, 0, 0, 3, 1, 1, 3, 0, 4, 2, 0, 3, 4, 1, 0, 0, 3, 2, 3, 0, 3, 4, 0, 3, 1, 0, 3, 2, 4, 4, 0, 3, 2, 4, 0, 0, 1, 2, 3, 2, 1, 1, 1, 1, 4, 1, 0, 1, 0, 4, 4, 3, 2, 2, 1, 4, 1, 0, 1, 1, 2, 4, 2, 2, 3, 1, 3, 1, 1, 1, 0, 2, 4, 1, 4, 1, 2, 2, 3, 4, 1, 1, 3, 1, 3, 4, 2, 0, 0, 1, 2, 3, 1, 3, 1, 3, 3, 0, 0, 3, 3, 4, 2, 2, 4, 3, 4, 4, 4, 0, 0, 0, 4, 2, 3, 1, 2, 3, 4, 4, 2, 0, 3, 1, 1, 3, 3, 2, 2, 2, 1, 3] pubkeycol1006 = [1, 4, 3, 2, 4, 1, 1, 4, 1, 0, 0, 2, 3, 0, 2, 0, 3, 2, 1, 0, 1, 2, 4, 1, 2, 0, 3, 0, 4, 0, 1, 1, 3, 2, 3, 3, 2, 4, 4, 0, 4, 1, 1, 0, 2, 3, 1, 1, 2, 2, 0, 1, 4, 4, 3, 0, 0, 3, 2, 0, 0, 4, 3, 3, 0, 0, 4, 4, 3, 3, 4, 1, 4, 1, 1, 3, 4, 0, 4, 1, 2, 4, 1, 0, 4, 0, 1, 1, 1, 4, 3, 1, 2, 0, 2, 0, 1, 4, 4, 1, 2, 4, 2, 3, 4, 3, 2, 0, 2, 4, 1, 2, 2, 3, 3, 2, 3, 1, 0, 4, 4, 3, 4, 0, 4, 4, 3, 1, 2, 4, 1, 4, 1, 2, 1, 0, 3, 4, 1, 2, 3, 1, 4, 1, 3, 0, 4, 1, 1, 3, 3, 2, 3, 3, 4, 2, 4, 1, 1, 3, 0, 1, 2, 3, 1, 3, 4, 2, 2, 3, 0, 3, 3, 1, 1, 3, 1, 0, 2, 4, 0, 2, 4, 0, 2, 0, 1, 0, 3, 3, 4, 4, 4, 3, 0, 0, 1, 0, 3, 3, 1, 4, 3, 4, 3, 2, 2, 3, 4, 3, 4, 2, 0, 3, 2, 1, 2, 3, 4, 2, 3, 0, 1, 0, 2, 0, 4, 1, 1, 2, 0, 3, 0, 1, 4, 0, 3, 2, 0, 3, 2, 3, 3, 1, 1, 3, 2, 1, 4, 0, 0, 0, 2, 2, 1, 3, 2, 4, 3, 2, 2, 4, 0, 2, 1, 2, 1, 3, 4, 1, 1, 1, 0, 4, 4, 2, 0, 0, 4, 1, 2, 2, 2, 0, 0, 3, 4, 3, 0, 4, 4, 2, 2, 0, 0, 2, 0, 3, 2, 4, 1, 1, 0, 2, 1, 0, 4, 0, 2, 0, 1, 3, 4, 3, 0, 1, 3, 3, 2, 3, 2, 3, 0, 2, 2, 0, 0, 4, 4, 1, 1, 2, 4, 3, 1, 2, 3, 3, 0, 2, 4, 2, 3, 1, 4, 2, 2, 1, 2, 3, 3, 4, 1, 2, 3, 0, 1, 0, 2, 3, 2, 2, 3, 0, 2, 1, 1, 2, 0, 3, 0, 4, 1, 3, 0, 4, 3, 4, 3, 3, 0, 2, 3, 2, 3, 3, 4, 0, 4, 0, 4, 1, 2, 1, 2, 3, 2, 0, 3, 1] pubkeycol1007 = [2, 2, 4, 4, 0, 2, 0, 2, 1, 3, 0, 0, 0, 3, 4, 4, 4, 2, 4, 4, 3, 0, 2, 4, 3, 3, 4, 0, 0, 1, 1, 3, 4, 0, 3, 2, 4, 4, 1, 3, 0, 4, 3, 1, 4, 4, 0, 0, 2, 4, 1, 4, 1, 2, 4, 2, 0, 0, 2, 2, 0, 4, 4, 4, 0, 2, 0, 4, 2, 2, 0, 0, 0, 3, 0, 2, 2, 2, 1, 3, 1, 1, 4, 0, 0, 0, 4, 3, 3, 3, 1, 0, 3, 1, 1, 3, 2, 3, 4, 4, 0, 4, 1, 3, 3, 2, 1, 0, 1, 0, 4, 3, 3, 4, 0, 0, 3, 0, 2, 3, 0, 0, 2, 3, 2, 1, 2, 3, 4, 2, 1, 1, 0, 4, 3, 1, 2, 2, 0, 0, 0, 0, 1, 3, 2, 2, 3, 2, 1, 0, 3, 1, 2, 0, 4, 4, 0, 0, 1, 3, 0, 4, 1, 0, 1, 3, 1, 4, 3, 2, 4, 4, 2, 3, 3, 2, 2, 3, 2, 3, 4, 0, 3, 4, 0, 2, 2, 3, 4, 0, 1, 2, 4, 4, 0, 2, 4, 4, 3, 3, 2, 1, 0, 0, 4, 1, 0, 3, 1, 0, 3, 0, 3, 4, 3, 2, 4, 4, 1, 2, 1, 2, 4, 1, 3, 4, 0, 3, 2, 4, 1, 1, 2, 3, 3, 1, 4, 0, 0, 4, 1, 0, 3, 2, 4, 2, 1, 1, 0, 3, 0, 2, 1, 4, 1, 4, 3, 1, 2, 2, 3, 4, 0, 0, 4, 4, 2, 1, 1, 0, 3, 3, 3, 4, 0, 2, 0, 2, 2, 4, 4, 4, 1, 4, 3, 2, 4, 0, 2, 4, 0, 2, 1, 3, 4, 2, 1, 0, 0, 4, 4, 2, 3, 4, 2, 2, 3, 3, 1, 4, 2, 4, 1, 4, 4, 1, 1, 3, 0, 4, 4, 1, 3, 4, 4, 1, 1, 2, 2, 2, 4, 3, 1, 0, 0, 3, 3, 2, 2, 0, 0, 0, 4, 0, 0, 2, 0, 0, 3, 2, 0, 4, 4, 3, 2, 4, 2, 0, 3, 4, 1, 1, 2, 0, 3, 4, 0, 2, 3, 0, 2, 1, 1, 0, 3, 3, 2, 1, 1, 4, 3, 1, 3, 0, 4, 3, 3, 4, 2, 2, 3, 4, 1, 0, 3, 2, 4, 2, 3, 1] pubkeycol1008 = [2, 0, 2, 4, 2, 0, 2, 2, 4, 2, 0, 4, 4, 4, 4, 0, 0, 4, 1, 2, 0, 4, 0, 2, 0, 3, 1, 4, 4, 2, 2, 2, 3, 1, 0, 0, 2, 1, 2, 3, 3, 3, 4, 2, 3, 2, 2, 3, 1, 0, 4, 4, 3, 4, 2, 4, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 3, 2, 1, 3, 0, 2, 2, 1, 4, 4, 1, 0, 2, 4, 2, 1, 3, 0, 0, 0, 1, 1, 4, 2, 0, 1, 4, 3, 2, 0, 3, 0, 2, 0, 4, 4, 2, 4, 4, 2, 0, 3, 4, 0, 1, 1, 3, 0, 3, 3, 2, 1, 2, 1, 4, 4, 2, 4, 0, 1, 2, 3, 2, 1, 4, 2, 2, 3, 0, 0, 2, 0, 1, 0, 2, 0, 4, 3, 3, 0, 3, 4, 4, 2, 3, 1, 2, 0, 2, 1, 2, 3, 0, 3, 1, 2, 1, 0, 1, 4, 2, 4, 0, 1, 0, 4, 3, 3, 1, 1, 3, 0, 1, 4, 1, 3, 3, 3, 0, 1, 1, 0, 0, 2, 1, 2, 4, 4, 3, 4, 3, 1, 2, 4, 4, 0, 1, 4, 3, 0, 1, 3, 3, 1, 1, 2, 0, 4, 0, 2, 1, 1, 4, 2, 1, 1, 4, 2, 2, 0, 2, 2, 0, 1, 3, 4, 1, 2, 1, 0, 2, 3, 4, 4, 4, 2, 0, 3, 4, 4, 1, 0, 1, 1, 0, 3, 1, 1, 0, 4, 0, 3, 2, 2, 4, 4, 0, 4, 2, 3, 0, 2, 3, 0, 2, 2, 1, 2, 2, 0, 0, 2, 4, 4, 2, 1, 4, 1, 1, 1, 0, 0, 3, 3, 0, 2, 4, 1, 2, 3, 0, 4, 1, 4, 3, 0, 0, 4, 4, 3, 2, 2, 0, 4, 2, 2, 0, 0, 2, 3, 0, 4, 1, 0, 3, 1, 3, 2, 4, 4, 1, 1, 0, 4, 0, 0, 2, 3, 0, 0, 3, 4, 0, 2, 0, 2, 4, 0, 2, 1, 4, 4, 3, 0, 3, 4, 3, 3, 3, 3, 1, 4, 1, 2, 0, 3, 4, 4, 4, 2, 4, 4, 2, 0, 4, 1, 3, 0, 3, 1, 4, 0, 2, 3, 0, 1, 4, 0, 0, 1, 1, 2, 3, 0, 0, 0, 2, 4, 4, 3, 4, 4, 3, 2] pubkeycol1009 = [2, 3, 2, 2, 2, 3, 2, 1, 0, 2, 3, 1, 3, 2, 4, 2, 2, 2, 1, 4, 1, 0, 4, 4, 4, 1, 2, 1, 2, 1, 3, 4, 0, 1, 0, 1, 4, 4, 2, 1, 3, 1, 1, 1, 0, 0, 2, 3, 2, 4, 2, 4, 3, 4, 2, 2, 2, 4, 3, 4, 4, 0, 1, 0, 4, 0, 3, 0, 0, 4, 1, 0, 3, 4, 1, 3, 0, 4, 1, 2, 0, 2, 1, 2, 4, 4, 0, 4, 0, 0, 3, 2, 3, 3, 2, 4, 4, 2, 2, 4, 1, 0, 1, 1, 0, 3, 4, 2, 4, 4, 0, 4, 4, 0, 4, 4, 3, 0, 3, 2, 2, 3, 1, 3, 1, 1, 3, 3, 0, 0, 4, 3, 4, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 1, 4, 2, 4, 2, 1, 2, 4, 4, 1, 2, 0, 1, 3, 0, 2, 0, 0, 2, 3, 3, 4, 3, 2, 4, 3, 3, 3, 2, 0, 2, 1, 1, 4, 3, 4, 0, 4, 4, 3, 3, 2, 2, 3, 1, 0, 0, 4, 4, 3, 1, 3, 3, 2, 1, 2, 2, 3, 3, 0, 3, 3, 1, 2, 0, 2, 3, 2, 4, 1, 0, 4, 3, 2, 0, 2, 4, 4, 3, 3, 0, 1, 0, 2, 3, 0, 3, 0, 4, 2, 2, 2, 3, 4, 2, 0, 3, 2, 0, 3, 2, 2, 3, 1, 3, 4, 3, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 4, 2, 4, 0, 3, 1, 1, 4, 0, 4, 0, 1, 3, 2, 1, 0, 2, 0, 3, 0, 0, 0, 4, 4, 0, 0, 2, 3, 4, 1, 0, 1, 4, 1, 3, 3, 1, 1, 2, 4, 3, 2, 0, 2, 1, 2, 4, 3, 2, 2, 3, 3, 4, 3, 2, 2, 3, 0, 0, 1, 3, 3, 1, 3, 4, 1, 0, 0, 0, 4, 0, 3, 0, 3, 0, 2, 0, 1, 0, 2, 4, 3, 4, 3, 3, 2, 3, 2, 1, 0, 3, 1, 3, 0, 0, 2, 3, 1, 2, 4, 1, 1, 4, 1, 3, 3, 2, 4, 1, 4, 4, 3, 0, 3, 0, 4, 2, 3, 2, 4, 3, 4, 1, 2, 2, 0, 1, 1, 1, 0, 3, 0, 2, 4, 2, 0, 1, 1, 0, 0] pubkeycol1010 = [2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 4, 2, 4, 4, 4, 3, 4, 3, 1, 0, 1, 2, 0, 4, 0, 1, 1, 1, 0, 0, 3, 2, 3, 0, 1, 0, 1, 4, 3, 3, 0, 2, 1, 3, 1, 3, 0, 0, 2, 3, 4, 2, 1, 3, 2, 0, 3, 2, 2, 1, 4, 0, 3, 0, 4, 0, 4, 4, 0, 3, 0, 0, 3, 3, 2, 2, 0, 0, 2, 0, 0, 4, 1, 0, 0, 0, 0, 4, 3, 2, 1, 0, 3, 4, 2, 1, 3, 2, 3, 0, 3, 2, 4, 0, 0, 4, 0, 1, 0, 2, 0, 2, 2, 0, 4, 3, 4, 1, 0, 2, 4, 3, 3, 1, 1, 0, 4, 4, 2, 3, 4, 3, 1, 2, 2, 2, 0, 0, 0, 4, 3, 4, 1, 1, 3, 3, 3, 0, 1, 4, 0, 1, 2, 2, 3, 0, 2, 0, 1, 0, 2, 3, 3, 0, 3, 2, 3, 4, 4, 3, 0, 3, 4, 0, 2, 0, 2, 0, 1, 2, 4, 3, 2, 4, 3, 4, 4, 3, 4, 2, 3, 1, 3, 3, 0, 2, 2, 0, 3, 0, 4, 3, 4, 0, 2, 3, 3, 4, 4, 4, 1, 4, 0, 2, 0, 3, 0, 4, 4, 0, 0, 1, 2, 3, 1, 1, 0, 3, 4, 2, 3, 1, 0, 0, 1, 1, 2, 4, 0, 4, 2, 0, 3, 0, 3, 1, 0, 3, 2, 3, 0, 4, 0, 3, 1, 4, 2, 0, 2, 3, 0, 2, 2, 2, 3, 3, 3, 1, 3, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 4, 1, 0, 3, 1, 1, 0, 4, 0, 1, 3, 3, 2, 4, 4, 4, 2, 3, 2, 0, 4, 3, 2, 3, 0, 0, 1, 0, 3, 3, 1, 3, 0, 2, 1, 0, 4, 2, 0, 0, 1, 2, 3, 3, 4, 2, 0, 2, 3, 3, 3, 4, 1, 0, 1, 4, 3, 1, 3, 3, 2, 0, 3, 1, 0, 4, 3, 4, 3, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 3, 3, 1, 0, 1, 3, 0, 0, 1, 1, 2, 1, 4, 3, 2, 4, 1, 2, 3, 1, 1, 0, 3, 3, 1, 2, 1, 0, 3, 2, 4, 2, 4, 3, 2, 3] pubkeycol1011 = [1, 1, 0, 4, 2, 4, 3, 2, 0, 0, 1, 4, 2, 4, 2, 0, 1, 2, 4, 0, 2, 0, 4, 3, 0, 0, 0, 4, 2, 4, 2, 0, 1, 3, 1, 0, 2, 1, 1, 3, 3, 3, 2, 2, 2, 0, 0, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 1, 3, 0, 0, 3, 2, 0, 1, 1, 0, 0, 4, 3, 1, 3, 0, 1, 0, 4, 1, 2, 0, 2, 2, 4, 3, 0, 1, 3, 1, 3, 2, 4, 2, 0, 0, 3, 2, 1, 2, 3, 0, 0, 0, 1, 1, 4, 0, 2, 4, 2, 2, 1, 0, 1, 1, 1, 4, 0, 4, 4, 4, 3, 4, 3, 3, 4, 4, 2, 4, 2, 1, 3, 0, 3, 1, 3, 1, 4, 2, 1, 0, 3, 0, 0, 1, 2, 1, 4, 0, 4, 1, 4, 3, 1, 0, 3, 4, 4, 1, 3, 1, 2, 4, 4, 4, 1, 4, 2, 3, 0, 4, 4, 0, 4, 1, 0, 0, 2, 0, 2, 0, 3, 3, 1, 2, 3, 4, 3, 2, 2, 2, 4, 0, 3, 2, 1, 4, 4, 3, 0, 4, 0, 4, 2, 4, 2, 1, 2, 1, 4, 2, 3, 0, 1, 3, 4, 3, 0, 1, 4, 0, 2, 0, 4, 1, 3, 1, 4, 3, 3, 4, 2, 0, 3, 2, 3, 3, 0, 0, 0, 2, 4, 1, 3, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 3, 4, 0, 0, 4, 2, 1, 2, 4, 2, 3, 1, 0, 3, 3, 2, 2, 2, 0, 3, 2, 1, 1, 3, 1, 2, 2, 1, 3, 0, 4, 3, 1, 0, 4, 2, 2, 2, 2, 4, 2, 3, 0, 3, 2, 1, 3, 0, 2, 4, 3, 2, 2, 4, 2, 4, 1, 2, 4, 2, 2, 1, 2, 4, 0, 4, 4, 0, 4, 4, 0, 3, 4, 0, 0, 4, 1, 4, 2, 0, 2, 1, 1, 1, 4, 0, 2, 3, 1, 4, 1, 3, 2, 4, 0, 3, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 3, 3, 3, 3, 1, 4, 1, 4, 3, 4, 1, 2, 1, 2, 2, 2, 0, 3, 4, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 3, 4, 2, 1, 2, 0, 1, 3, 3, 4, 2, 1, 3] pubkeycol1012 = [4, 1, 3, 0, 3, 1, 0, 2, 1, 1, 2, 2, 1, 1, 3, 2, 3, 2, 1, 3, 4, 1, 1, 4, 1, 3, 2, 1, 3, 4, 4, 1, 2, 1, 0, 3, 3, 4, 3, 3, 2, 1, 1, 1, 1, 3, 3, 2, 0, 3, 0, 1, 1, 4, 0, 2, 0, 0, 4, 0, 0, 4, 0, 2, 2, 0, 1, 2, 4, 2, 4, 1, 0, 3, 4, 1, 0, 1, 4, 0, 1, 3, 3, 4, 4, 3, 2, 2, 2, 4, 1, 2, 1, 2, 3, 2, 2, 2, 2, 2, 4, 3, 2, 0, 1, 4, 4, 2, 3, 3, 2, 2, 1, 3, 4, 0, 1, 4, 1, 0, 4, 1, 4, 4, 3, 3, 0, 0, 2, 0, 3, 2, 4, 2, 1, 2, 3, 3, 1, 2, 2, 2, 3, 0, 3, 3, 4, 1, 0, 4, 4, 0, 4, 4, 3, 1, 4, 2, 2, 1, 1, 0, 4, 2, 1, 3, 3, 2, 0, 4, 3, 3, 3, 1, 2, 4, 2, 3, 3, 4, 1, 2, 1, 4, 1, 2, 2, 0, 2, 3, 4, 1, 0, 4, 0, 1, 1, 4, 2, 1, 4, 3, 0, 1, 1, 4, 0, 1, 4, 4, 2, 1, 3, 3, 1, 0, 1, 0, 3, 3, 4, 2, 1, 3, 0, 3, 3, 2, 0, 0, 0, 1, 3, 1, 4, 0, 4, 2, 2, 1, 1, 3, 2, 3, 2, 2, 2, 1, 4, 1, 4, 2, 3, 3, 1, 4, 2, 0, 4, 3, 4, 4, 0, 4, 3, 0, 2, 1, 0, 4, 3, 3, 1, 0, 0, 4, 3, 2, 4, 1, 4, 0, 2, 1, 4, 3, 2, 2, 1, 2, 2, 4, 0, 0, 0, 3, 4, 3, 3, 4, 3, 2, 2, 0, 2, 1, 4, 2, 1, 0, 1, 0, 0, 1, 1, 4, 1, 1, 4, 0, 0, 0, 0, 4, 0, 3, 4, 0, 4, 2, 3, 1, 2, 3, 3, 3, 1, 0, 4, 1, 2, 4, 4, 3, 3, 3, 4, 1, 1, 2, 0, 2, 1, 3, 0, 0, 3, 0, 2, 0, 3, 1, 2, 4, 0, 3, 1, 4, 0, 1, 3, 2, 2, 2, 3, 4, 0, 1, 4, 3, 4, 1, 1, 4, 2, 0, 3, 3, 2, 1, 3, 1, 1, 0, 3, 0, 0, 4, 4, 1] pubkeycol1013 = [3, 2, 3, 1, 3, 3, 0, 3, 1, 3, 0, 4, 1, 1, 2, 2, 0, 2, 2, 2, 3, 1, 1, 4, 2, 3, 4, 3, 4, 4, 1, 4, 4, 1, 2, 3, 3, 1, 0, 0, 2, 4, 1, 3, 3, 2, 0, 0, 2, 0, 2, 3, 1, 2, 3, 1, 4, 4, 4, 3, 4, 1, 1, 4, 2, 2, 4, 0, 1, 0, 4, 1, 1, 1, 4, 1, 0, 4, 0, 2, 4, 4, 2, 1, 0, 4, 4, 1, 2, 2, 2, 2, 3, 3, 2, 1, 3, 2, 4, 0, 4, 4, 2, 4, 0, 4, 0, 2, 1, 3, 2, 1, 3, 3, 3, 4, 4, 0, 1, 3, 1, 4, 4, 1, 1, 2, 4, 4, 2, 1, 4, 0, 2, 1, 4, 4, 4, 1, 3, 0, 3, 4, 3, 2, 4, 4, 0, 3, 1, 4, 1, 0, 2, 4, 3, 4, 1, 1, 3, 4, 1, 0, 1, 1, 4, 3, 4, 4, 3, 4, 3, 0, 4, 0, 0, 3, 4, 2, 2, 2, 0, 4, 2, 4, 0, 3, 0, 1, 4, 2, 2, 1, 4, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 4, 1, 2, 1, 3, 4, 2, 2, 0, 0, 3, 0, 4, 4, 3, 2, 3, 1, 2, 2, 4, 2, 3, 0, 2, 4, 2, 1, 1, 1, 0, 1, 1, 3, 2, 0, 0, 1, 2, 0, 4, 1, 0, 4, 1, 0, 0, 1, 2, 3, 2, 2, 3, 1, 4, 2, 2, 3, 3, 1, 0, 3, 4, 1, 4, 2, 2, 2, 4, 0, 3, 1, 4, 0, 3, 4, 1, 0, 3, 3, 3, 4, 2, 1, 4, 3, 3, 2, 2, 3, 0, 4, 0, 2, 1, 4, 2, 1, 2, 3, 0, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 3, 0, 0, 4, 2, 3, 4, 2, 4, 1, 1, 0, 0, 0, 0, 4, 1, 0, 0, 4, 3, 2, 2, 4, 1, 3, 1, 0, 1, 2, 0, 3, 0, 3, 4, 2, 4, 3, 2, 0, 3, 1, 2, 2, 1, 2, 1, 4, 3, 3, 1, 4, 4, 1, 1, 2, 2, 3, 2, 3, 4, 2, 3, 2, 4, 4, 0, 4, 3, 0, 1, 2, 1] pubkeycol1014 = [1, 1, 1, 3, 0, 3, 3, 3, 4, 0, 4, 0, 0, 4, 0, 4, 4, 2, 3, 3, 3, 0, 0, 0, 0, 3, 4, 1, 2, 3, 2, 1, 0, 0, 3, 2, 3, 1, 0, 2, 0, 1, 2, 3, 4, 0, 0, 3, 2, 1, 2, 1, 0, 0, 0, 0, 4, 1, 4, 0, 2, 2, 0, 4, 4, 2, 2, 2, 1, 0, 0, 2, 4, 1, 3, 3, 3, 3, 0, 0, 2, 0, 2, 3, 1, 1, 3, 4, 1, 0, 4, 4, 4, 0, 3, 4, 4, 4, 4, 1, 1, 3, 0, 4, 4, 1, 4, 4, 2, 2, 1, 4, 0, 1, 2, 3, 1, 0, 0, 3, 4, 1, 2, 4, 1, 4, 4, 3, 1, 4, 0, 0, 1, 2, 2, 4, 3, 4, 0, 1, 0, 1, 2, 1, 2, 3, 2, 4, 3, 1, 0, 3, 1, 3, 2, 2, 2, 1, 0, 4, 4, 0, 4, 0, 0, 2, 0, 4, 4, 2, 1, 3, 0, 0, 3, 1, 0, 1, 3, 3, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 4, 3, 3, 1, 4, 1, 0, 2, 4, 1, 0, 2, 4, 3, 4, 1, 1, 3, 2, 2, 3, 2, 3, 3, 3, 1, 0, 1, 3, 3, 2, 2, 3, 1, 1, 0, 0, 0, 3, 1, 1, 4, 0, 4, 3, 3, 1, 3, 2, 3, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 4, 4, 2, 4, 0, 0, 3, 4, 2, 3, 0, 2, 1, 0, 1, 0, 3, 3, 3, 3, 3, 1, 4, 0, 3, 4, 0, 3, 3, 0, 2, 0, 0, 3, 2, 0, 0, 2, 4, 2, 1, 3, 4, 3, 3, 4, 2, 3, 2, 0, 4, 4, 1, 4, 2, 1, 4, 2, 3, 4, 1, 2, 2, 2, 0, 3, 4, 4, 0, 0, 4, 1, 4, 0, 3, 0, 4, 4, 0, 4, 1, 3, 4, 3, 0, 4, 2, 1, 3, 1, 1, 3, 2, 0, 3, 4, 2, 1, 0, 1, 2, 0, 3, 4, 2, 4, 3, 2, 2, 4, 0, 0, 3, 4, 1, 1, 1, 3, 4, 3, 0, 4, 1, 4, 0, 0, 1, 4, 2, 1, 1, 1, 1, 3, 3, 4, 2, 3, 2, 3] pubkeycol1015 = [0, 1, 0, 1, 1, 0, 4, 3, 0, 0, 2, 4, 1, 1, 3, 0, 4, 4, 3, 2, 4, 2, 3, 4, 0, 3, 2, 1, 0, 1, 4, 0, 2, 2, 2, 3, 0, 0, 0, 3, 1, 3, 0, 3, 2, 0, 0, 4, 2, 1, 0, 4, 1, 3, 0, 1, 1, 2, 3, 3, 1, 4, 1, 3, 0, 4, 0, 4, 0, 2, 2, 3, 4, 0, 2, 1, 4, 4, 4, 1, 0, 4, 2, 0, 4, 3, 4, 1, 4, 0, 3, 0, 0, 1, 3, 4, 2, 0, 2, 3, 0, 1, 1, 0, 0, 2, 4, 2, 3, 0, 4, 3, 2, 4, 1, 2, 3, 0, 4, 2, 3, 0, 4, 3, 2, 4, 0, 3, 3, 4, 0, 0, 1, 0, 4, 3, 0, 3, 2, 0, 3, 2, 4, 1, 4, 1, 0, 0, 0, 0, 3, 3, 2, 3, 0, 0, 1, 1, 3, 4, 2, 3, 2, 4, 1, 0, 1, 4, 2, 2, 0, 0, 2, 3, 0, 0, 3, 2, 1, 3, 2, 3, 3, 2, 4, 3, 1, 3, 2, 4, 1, 2, 1, 3, 2, 4, 2, 2, 0, 4, 4, 2, 0, 4, 2, 1, 0, 3, 3, 2, 0, 0, 4, 2, 2, 0, 0, 4, 0, 1, 4, 0, 3, 4, 3, 4, 4, 2, 0, 2, 1, 3, 1, 4, 4, 4, 3, 1, 0, 3, 0, 3, 2, 0, 3, 1, 3, 4, 2, 2, 4, 4, 1, 3, 2, 2, 0, 3, 4, 3, 0, 4, 4, 3, 1, 1, 4, 3, 1, 1, 3, 1, 1, 0, 3, 1, 1, 0, 0, 2, 2, 4, 3, 2, 0, 0, 0, 1, 2, 4, 3, 3, 2, 3, 0, 2, 2, 2, 1, 3, 0, 1, 3, 3, 1, 1, 2, 2, 2, 3, 4, 3, 4, 4, 4, 3, 1, 0, 4, 4, 3, 1, 2, 0, 2, 1, 2, 1, 3, 2, 3, 3, 4, 0, 3, 4, 2, 4, 4, 1, 3, 3, 4, 0, 3, 3, 1, 4, 0, 4, 1, 2, 4, 0, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 2, 0, 4, 1, 1, 2, 1, 2, 3, 3, 2, 2, 1, 2, 1, 2, 4, 3, 1, 1, 3, 2, 0, 1, 1, 1, 4, 4, 3, 1, 0, 3, 0, 3, 0, 2] pubkeycol1016 = [0, 1, 0, 0, 3, 2, 2, 4, 4, 0, 4, 1, 2, 3, 2, 0, 1, 1, 0, 3, 2, 3, 2, 1, 2, 2, 1, 0, 0, 4, 2, 3, 4, 1, 4, 4, 0, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 2, 4, 2, 3, 3, 0, 0, 0, 2, 2, 1, 2, 0, 3, 3, 4, 1, 3, 0, 0, 4, 0, 0, 2, 3, 4, 0, 1, 4, 4, 0, 4, 1, 0, 3, 2, 2, 1, 4, 2, 0, 4, 2, 1, 3, 1, 3, 0, 4, 4, 0, 3, 0, 0, 1, 4, 1, 2, 0, 0, 4, 4, 0, 0, 1, 4, 1, 3, 4, 1, 2, 4, 2, 2, 3, 1, 0, 4, 3, 0, 0, 2, 3, 2, 4, 0, 3, 0, 3, 4, 0, 4, 4, 0, 4, 0, 2, 2, 3, 0, 1, 0, 1, 1, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 0, 0, 2, 4, 2, 1, 3, 1, 4, 0, 0, 4, 1, 2, 3, 4, 3, 0, 3, 4, 4, 1, 0, 3, 0, 0, 2, 0, 0, 1, 4, 4, 2, 0, 1, 1, 4, 4, 1, 0, 0, 3, 0, 2, 2, 1, 0, 0, 0, 1, 3, 4, 0, 4, 1, 4, 3, 1, 1, 4, 4, 1, 4, 1, 0, 1, 4, 1, 0, 2, 1, 0, 2, 4, 3, 1, 1, 1, 3, 2, 1, 2, 2, 0, 1, 4, 3, 3, 0, 0, 2, 3, 0, 4, 0, 2, 1, 4, 3, 2, 0, 0, 2, 2, 0, 4, 4, 4, 0, 2, 3, 0, 4, 4, 0, 4, 2, 3, 4, 3, 1, 2, 0, 1, 1, 2, 1, 2, 1, 3, 3, 2, 0, 2, 4, 4, 2, 3, 2, 2, 2, 2, 2, 1, 2, 4, 2, 1, 4, 3, 4, 3, 3, 4, 3, 3, 0, 4, 1, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0, 4, 4, 0, 2, 3, 0, 2, 4, 1, 2, 4, 2, 4, 0, 2, 4, 0, 3, 0, 3, 2, 2, 4, 4, 1, 3, 3, 2, 1, 1, 4, 3, 0, 2, 3, 0, 2, 0, 0, 1, 0, 2, 0, 4, 1, 4, 3, 0, 4, 0, 3, 3, 1, 1, 1, 4, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol1017 = [2, 0, 0, 1, 1, 4, 3, 1, 4, 4, 1, 1, 3, 3, 3, 3, 1, 4, 1, 1, 4, 1, 0, 4, 4, 0, 4, 0, 1, 3, 3, 2, 2, 4, 2, 1, 1, 0, 3, 4, 4, 2, 2, 4, 0, 3, 1, 2, 2, 1, 4, 3, 2, 2, 3, 3, 1, 1, 3, 4, 0, 4, 4, 3, 2, 0, 0, 1, 3, 1, 4, 4, 3, 4, 2, 1, 0, 2, 2, 3, 3, 2, 0, 1, 0, 4, 1, 0, 3, 2, 2, 3, 2, 3, 4, 3, 1, 1, 3, 4, 4, 1, 2, 2, 4, 1, 4, 4, 1, 3, 3, 1, 3, 4, 2, 1, 2, 1, 2, 4, 1, 3, 2, 0, 2, 4, 1, 3, 3, 4, 4, 0, 0, 4, 4, 4, 0, 3, 3, 0, 4, 1, 2, 4, 4, 0, 1, 0, 4, 3, 4, 4, 3, 1, 3, 0, 2, 2, 4, 1, 2, 1, 4, 3, 0, 1, 3, 2, 3, 1, 0, 2, 2, 0, 0, 1, 3, 4, 0, 1, 2, 3, 2, 0, 2, 1, 2, 2, 4, 2, 1, 0, 1, 4, 3, 0, 0, 1, 0, 0, 0, 4, 2, 0, 1, 2, 0, 3, 3, 2, 1, 2, 2, 1, 2, 3, 0, 1, 2, 1, 3, 1, 1, 2, 4, 2, 0, 0, 3, 4, 4, 1, 1, 0, 0, 4, 1, 2, 2, 0, 3, 0, 4, 2, 4, 4, 3, 0, 3, 0, 2, 0, 1, 1, 3, 1, 2, 4, 3, 4, 4, 1, 1, 4, 3, 3, 0, 2, 0, 1, 4, 2, 0, 3, 3, 0, 2, 1, 1, 0, 4, 1, 3, 4, 4, 0, 0, 4, 3, 1, 3, 3, 0, 2, 1, 2, 2, 2, 2, 3, 4, 3, 3, 0, 2, 1, 2, 4, 2, 0, 0, 0, 3, 2, 1, 4, 4, 2, 1, 0, 4, 4, 4, 4, 0, 3, 4, 4, 4, 3, 1, 0, 0, 1, 3, 1, 1, 3, 0, 3, 0, 4, 1, 2, 1, 3, 2, 4, 4, 2, 2, 4, 0, 0, 2, 0, 2, 0, 0, 3, 2, 2, 3, 3, 2, 4, 4, 3, 4, 2, 3, 3, 2, 2, 4, 1, 1, 2, 4, 3, 0, 3, 2, 1, 4, 1, 3, 1, 1, 4, 0, 0, 2, 2, 1, 0, 2, 3, 3, 3] pubkeycol1018 = [4, 1, 3, 3, 2, 2, 0, 0, 1, 1, 0, 4, 3, 1, 1, 0, 4, 2, 4, 1, 3, 3, 2, 2, 3, 2, 4, 3, 4, 0, 3, 0, 0, 4, 0, 4, 3, 2, 2, 1, 2, 0, 4, 0, 1, 4, 4, 1, 4, 2, 3, 2, 0, 4, 0, 3, 3, 1, 2, 1, 0, 2, 0, 3, 3, 1, 0, 4, 1, 0, 2, 3, 1, 2, 4, 4, 3, 1, 4, 2, 4, 1, 3, 4, 1, 2, 1, 3, 3, 1, 0, 0, 2, 0, 2, 4, 0, 4, 3, 2, 4, 4, 0, 4, 1, 2, 0, 3, 1, 0, 2, 1, 4, 0, 3, 4, 2, 1, 1, 0, 1, 3, 3, 2, 0, 1, 3, 1, 1, 0, 1, 1, 0, 4, 3, 4, 1, 4, 0, 0, 0, 3, 1, 4, 3, 2, 3, 1, 0, 4, 3, 3, 2, 0, 3, 2, 1, 0, 2, 2, 3, 4, 4, 0, 3, 3, 3, 1, 2, 4, 0, 2, 0, 4, 0, 0, 2, 4, 3, 4, 0, 1, 0, 0, 4, 4, 4, 4, 0, 3, 2, 0, 2, 3, 0, 4, 4, 0, 0, 0, 4, 3, 2, 4, 1, 0, 0, 4, 1, 0, 3, 3, 1, 1, 0, 2, 4, 3, 1, 3, 4, 0, 3, 4, 3, 1, 0, 2, 2, 2, 3, 4, 0, 4, 2, 3, 3, 0, 4, 4, 0, 4, 3, 2, 2, 1, 3, 0, 2, 3, 1, 2, 4, 3, 2, 3, 1, 1, 0, 0, 2, 2, 3, 2, 4, 2, 3, 1, 4, 1, 3, 1, 1, 0, 0, 4, 0, 2, 3, 4, 2, 2, 0, 3, 2, 1, 3, 4, 0, 1, 2, 0, 0, 4, 0, 1, 4, 1, 1, 2, 2, 3, 3, 4, 1, 1, 1, 1, 0, 0, 3, 4, 1, 2, 4, 1, 4, 3, 1, 0, 1, 3, 1, 0, 3, 3, 3, 2, 0, 4, 3, 4, 1, 4, 1, 3, 4, 4, 2, 1, 4, 0, 2, 0, 4, 3, 4, 2, 0, 3, 2, 4, 1, 4, 3, 3, 0, 2, 3, 2, 4, 0, 1, 4, 4, 4, 2, 2, 1, 3, 3, 0, 3, 4, 3, 1, 0, 1, 4, 2, 1, 4, 3, 1, 2, 2, 4, 4, 1, 0, 3, 3, 4, 1, 4, 0, 1, 3, 1, 3] pubkeycol1019 = [4, 0, 4, 3, 1, 1, 0, 1, 0, 3, 0, 4, 0, 4, 3, 4, 1, 3, 4, 3, 1, 0, 0, 1, 2, 1, 4, 4, 1, 2, 2, 4, 3, 3, 1, 1, 1, 0, 2, 4, 3, 1, 4, 3, 4, 3, 1, 4, 0, 3, 0, 0, 4, 3, 4, 3, 0, 4, 0, 2, 4, 2, 3, 4, 4, 1, 0, 2, 3, 4, 3, 2, 4, 1, 3, 4, 0, 3, 1, 4, 2, 2, 1, 0, 0, 4, 1, 0, 1, 2, 4, 3, 2, 3, 4, 2, 3, 3, 1, 4, 1, 2, 4, 1, 4, 0, 2, 2, 4, 0, 0, 2, 0, 3, 0, 2, 4, 1, 4, 2, 1, 3, 0, 4, 2, 2, 2, 4, 1, 3, 2, 0, 2, 1, 3, 0, 4, 0, 3, 3, 1, 2, 0, 1, 1, 2, 3, 1, 2, 3, 2, 0, 3, 4, 0, 1, 3, 1, 1, 3, 2, 1, 3, 3, 1, 3, 4, 2, 4, 3, 2, 3, 0, 3, 1, 3, 4, 4, 4, 2, 3, 4, 1, 1, 3, 1, 2, 4, 4, 2, 2, 4, 3, 2, 2, 3, 3, 4, 2, 2, 2, 3, 0, 2, 3, 0, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 3, 4, 0, 1, 2, 0, 3, 0, 1, 2, 1, 0, 2, 1, 4, 0, 0, 4, 0, 1, 4, 3, 4, 0, 2, 3, 2, 1, 0, 2, 2, 2, 4, 1, 2, 4, 2, 0, 0, 1, 4, 2, 1, 4, 2, 0, 4, 2, 4, 0, 1, 2, 0, 1, 3, 2, 1, 4, 1, 3, 2, 2, 4, 3, 1, 2, 3, 4, 2, 0, 0, 0, 1, 1, 2, 3, 1, 3, 2, 4, 1, 3, 1, 1, 3, 4, 0, 2, 0, 3, 0, 1, 4, 0, 0, 1, 3, 1, 1, 4, 2, 0, 0, 1, 0, 4, 1, 1, 3, 1, 4, 0, 2, 1, 0, 4, 2, 4, 2, 2, 1, 2, 2, 4, 4, 3, 4, 0, 3, 3, 2, 1, 4, 1, 4, 0, 2, 2, 1, 4, 1, 3, 3, 4, 2, 0, 3, 3, 0, 2, 0, 0, 2, 0, 2, 1, 1, 4, 2, 1, 2, 4, 1, 2, 0, 2, 2, 1, 2, 0, 0, 3, 4, 3, 3, 4, 2, 2, 2, 0, 3, 3, 2, 0] pubkeycol1020 = [1, 2, 2, 0, 2, 2, 3, 0, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 3, 4, 0, 3, 0, 0, 2, 4, 4, 0, 0, 4, 3, 3, 4, 0, 2, 1, 1, 3, 0, 2, 1, 1, 0, 4, 1, 3, 3, 2, 0, 2, 0, 4, 0, 3, 1, 0, 0, 1, 1, 1, 4, 3, 1, 2, 2, 2, 0, 4, 2, 4, 1, 4, 1, 3, 1, 4, 0, 2, 1, 1, 1, 4, 0, 1, 2, 4, 4, 4, 1, 0, 4, 1, 0, 1, 3, 0, 4, 4, 0, 2, 1, 4, 4, 0, 3, 4, 0, 1, 2, 0, 2, 1, 3, 3, 1, 2, 4, 0, 0, 4, 4, 4, 0, 4, 0, 1, 1, 1, 0, 3, 0, 4, 4, 4, 2, 3, 4, 2, 3, 2, 2, 1, 2, 3, 2, 4, 1, 2, 4, 1, 4, 2, 4, 4, 4, 3, 1, 0, 0, 1, 1, 1, 2, 2, 4, 2, 4, 2, 3, 1, 0, 0, 4, 1, 0, 0, 2, 0, 4, 2, 1, 0, 2, 3, 2, 4, 0, 0, 4, 0, 0, 0, 2, 4, 3, 4, 1, 1, 4, 1, 4, 2, 0, 2, 1, 3, 0, 1, 1, 1, 2, 2, 4, 1, 0, 1, 2, 3, 0, 4, 1, 4, 2, 0, 3, 1, 0, 2, 2, 3, 4, 3, 0, 1, 2, 0, 4, 0, 3, 4, 1, 1, 3, 1, 4, 2, 3, 1, 3, 4, 4, 4, 4, 2, 0, 0, 1, 1, 0, 1, 1, 3, 2, 2, 3, 1, 1, 3, 3, 1, 4, 1, 4, 4, 3, 3, 3, 0, 4, 1, 4, 2, 4, 1, 0, 0, 2, 3, 3, 4, 0, 1, 0, 4, 3, 4, 3, 0, 1, 0, 1, 2, 1, 4, 2, 4, 4, 4, 0, 4, 3, 0, 3, 4, 4, 2, 2, 4, 2, 0, 3, 3, 2, 3, 1, 4, 3, 0, 3, 2, 1, 3, 3, 0, 1, 3, 3, 0, 0, 2, 1, 1, 0, 0, 3, 0, 2, 0, 3, 4, 4, 2, 1, 1, 3, 3, 4, 4, 2, 2, 1, 0, 3, 3, 3, 4, 0, 2, 1, 1, 3, 1, 1, 0, 1, 0, 1, 3, 4, 2, 0, 1, 0, 2, 1, 1, 3, 4, 4, 2, 3, 0, 3, 2, 3, 4, 0, 1, 1] pubkeycol1021 = [3, 3, 4, 3, 1, 0, 4, 2, 4, 3, 0, 0, 2, 0, 2, 0, 3, 4, 4, 4, 0, 3, 4, 2, 3, 2, 1, 1, 3, 2, 1, 4, 0, 4, 4, 2, 3, 4, 0, 2, 1, 1, 4, 0, 1, 1, 0, 1, 0, 2, 2, 0, 3, 0, 2, 2, 4, 4, 0, 4, 2, 1, 1, 3, 4, 3, 2, 3, 4, 2, 2, 2, 3, 0, 2, 3, 0, 2, 4, 1, 2, 4, 0, 0, 0, 2, 0, 3, 0, 3, 1, 1, 1, 0, 3, 4, 2, 4, 2, 0, 1, 4, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 1, 0, 4, 0, 0, 1, 1, 4, 1, 4, 3, 0, 3, 3, 0, 1, 2, 1, 2, 0, 0, 0, 2, 3, 3, 3, 2, 3, 4, 1, 2, 0, 2, 1, 2, 3, 2, 4, 3, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 0, 1, 2, 1, 0, 2, 2, 4, 3, 3, 2, 1, 3, 0, 3, 3, 0, 1, 4, 2, 0, 4, 3, 0, 0, 4, 2, 3, 1, 3, 0, 4, 0, 1, 4, 0, 3, 1, 1, 2, 2, 0, 4, 4, 3, 3, 3, 0, 0, 0, 4, 2, 1, 2, 0, 0, 3, 4, 3, 0, 0, 3, 4, 2, 0, 4, 1, 3, 4, 4, 2, 0, 3, 4, 3, 4, 1, 4, 1, 1, 0, 0, 0, 1, 0, 2, 4, 0, 3, 1, 0, 1, 1, 0, 0, 2, 4, 3, 2, 2, 0, 1, 0, 0, 0, 4, 1, 3, 2, 4, 3, 3, 4, 1, 4, 3, 4, 2, 0, 3, 0, 2, 0, 3, 1, 4, 4, 0, 2, 1, 0, 4, 3, 3, 2, 2, 0, 1, 0, 2, 1, 2, 4, 1, 2, 3, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 3, 0, 3, 0, 4, 0, 1, 1, 1, 0, 4, 3, 3, 2, 1, 4, 2, 0, 3, 2, 0, 1, 4, 1, 1, 0, 4, 0, 1, 4, 1, 2, 4, 3, 2, 1, 4, 2, 0, 1, 2, 4, 2, 1, 3, 0, 0, 2, 1, 3, 3, 1, 4, 0, 0, 0, 4, 4, 0, 3, 2, 1, 1, 2, 1, 0, 2, 4, 3, 0, 2, 4, 3, 4, 4, 1, 2] pubkeycol1022 = [0, 1, 2, 2, 0, 4, 4, 1, 3, 3, 4, 1, 0, 2, 2, 1, 1, 4, 1, 2, 4, 0, 3, 0, 0, 0, 3, 1, 2, 0, 4, 1, 1, 1, 3, 2, 1, 3, 2, 1, 3, 3, 2, 2, 4, 3, 3, 2, 0, 3, 4, 2, 4, 1, 3, 3, 0, 0, 0, 0, 3, 2, 4, 2, 1, 4, 0, 1, 4, 4, 2, 1, 1, 4, 0, 2, 2, 4, 1, 1, 1, 1, 4, 3, 1, 3, 0, 4, 0, 4, 2, 2, 0, 4, 3, 4, 3, 1, 1, 3, 3, 4, 3, 1, 4, 0, 3, 1, 4, 4, 2, 1, 4, 3, 3, 1, 0, 3, 1, 1, 1, 0, 1, 4, 1, 0, 3, 1, 4, 0, 3, 1, 3, 4, 2, 0, 4, 1, 4, 0, 3, 4, 1, 1, 4, 1, 4, 2, 1, 0, 4, 4, 4, 2, 3, 1, 3, 4, 4, 2, 4, 1, 3, 0, 3, 1, 4, 1, 0, 4, 2, 4, 0, 2, 3, 2, 4, 1, 3, 1, 4, 1, 0, 2, 3, 3, 4, 0, 4, 3, 1, 2, 1, 0, 2, 3, 0, 3, 2, 4, 3, 3, 1, 0, 3, 0, 3, 4, 2, 3, 4, 4, 4, 4, 4, 4, 3, 0, 3, 0, 1, 3, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 0, 4, 1, 2, 4, 2, 4, 3, 3, 2, 3, 1, 0, 2, 3, 4, 1, 2, 1, 1, 3, 0, 3, 0, 0, 1, 4, 0, 3, 4, 4, 2, 0, 0, 3, 1, 3, 3, 1, 3, 0, 4, 2, 3, 1, 1, 0, 1, 4, 4, 0, 2, 4, 3, 2, 3, 3, 2, 1, 3, 2, 1, 2, 0, 3, 0, 3, 4, 3, 0, 3, 2, 3, 1, 4, 2, 0, 3, 3, 4, 4, 0, 4, 4, 2, 3, 4, 0, 2, 3, 2, 0, 1, 3, 2, 1, 3, 1, 4, 0, 1, 4, 3, 4, 0, 2, 2, 3, 0, 4, 0, 2, 0, 3, 3, 3, 0, 4, 3, 3, 0, 3, 3, 1, 3, 0, 3, 3, 0, 0, 2, 1, 4, 0, 0, 1, 1, 4, 2, 1, 4, 3, 0, 2, 1, 4, 2, 3, 4, 4, 0, 2, 2, 4, 4, 3, 1, 4, 3, 4, 4, 2, 4, 3, 4, 1, 2] pubkeycol1023 = [2, 4, 0, 2, 1, 2, 4, 3, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 0, 1, 3, 1, 0, 1, 2, 0, 2, 3, 2, 3, 3, 4, 4, 2, 4, 0, 2, 2, 2, 2, 4, 2, 3, 1, 1, 3, 1, 0, 1, 4, 2, 4, 1, 0, 3, 0, 2, 0, 3, 0, 4, 1, 3, 3, 1, 1, 1, 1, 2, 3, 0, 2, 2, 0, 0, 0, 3, 4, 3, 0, 0, 1, 4, 2, 1, 1, 1, 0, 0, 0, 4, 2, 3, 4, 3, 2, 0, 4, 0, 4, 3, 2, 3, 3, 4, 0, 3, 2, 1, 1, 3, 4, 1, 4, 4, 1, 2, 3, 3, 2, 1, 1, 2, 1, 2, 4, 1, 3, 2, 2, 2, 0, 3, 1, 0, 0, 1, 0, 1, 4, 0, 4, 0, 2, 4, 3, 1, 4, 4, 4, 4, 1, 2, 0, 2, 1, 2, 2, 3, 1, 3, 0, 1, 2, 4, 4, 0, 1, 1, 4, 4, 3, 1, 2, 4, 2, 1, 4, 3, 1, 4, 1, 4, 2, 4, 4, 4, 3, 2, 3, 3, 1, 0, 2, 4, 3, 1, 4, 3, 2, 0, 3, 4, 2, 3, 2, 4, 1, 4, 2, 4, 1, 1, 0, 4, 4, 2, 1, 2, 0, 4, 4, 2, 4, 0, 0, 1, 0, 0, 3, 2, 4, 0, 1, 0, 0, 2, 3, 2, 3, 4, 2, 3, 3, 4, 0, 1, 3, 3, 3, 0, 1, 3, 0, 0, 2, 0, 1, 3, 0, 4, 2, 2, 4, 3, 3, 1, 3, 1, 1, 3, 1, 1, 0, 4, 2, 0, 2, 4, 0, 0, 3, 0, 1, 3, 2, 4, 4, 0, 1, 2, 3, 2, 3, 0, 1, 1, 1, 3, 1, 2, 2, 3, 1, 0, 3, 1, 2, 1, 0, 4, 2, 0, 4, 3, 1, 3, 3, 4, 4, 2, 2, 3, 1, 0, 3, 1, 3, 1, 3, 3, 3, 2, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 4, 3, 3, 3, 4, 4, 1, 3, 1, 1, 0, 0, 0, 3, 2, 3, 2, 4, 1, 0, 2, 2, 4, 2, 3, 2, 1, 1, 4, 2, 3, 3, 1, 4, 1, 0, 0, 1, 0, 0, 4, 2, 1, 0, 4, 1, 3, 3, 0, 0, 0] pubkeycol1024 = [2, 1, 2, 2, 3, 1, 1, 0, 1, 4, 0, 3, 4, 1, 2, 0, 0, 2, 3, 4, 3, 1, 1, 3, 0, 4, 4, 2, 3, 3, 2, 3, 0, 4, 1, 3, 3, 2, 0, 1, 0, 0, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 2, 3, 4, 4, 3, 0, 2, 0, 2, 1, 4, 2, 1, 4, 3, 0, 2, 2, 0, 0, 4, 4, 1, 2, 2, 0, 2, 4, 2, 2, 0, 1, 4, 0, 4, 1, 3, 1, 1, 4, 1, 1, 0, 0, 4, 2, 1, 4, 4, 2, 1, 2, 1, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 4, 2, 2, 0, 4, 4, 4, 3, 3, 0, 3, 4, 3, 2, 4, 1, 3, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 0, 3, 4, 1, 0, 0, 3, 2, 3, 2, 4, 1, 4, 2, 3, 3, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 3, 0, 0, 2, 4, 0, 2, 2, 3, 3, 4, 1, 2, 2, 1, 3, 1, 2, 3, 4, 4, 3, 3, 4, 3, 4, 2, 0, 4, 2, 2, 2, 2, 0, 1, 2, 1, 3, 2, 0, 3, 1, 1, 1, 4, 3, 0, 0, 4, 0, 0, 0, 3, 3, 3, 2, 2, 2, 3, 4, 3, 1, 3, 0, 3, 3, 2, 2, 1, 4, 0, 1, 2, 4, 3, 2, 4, 1, 3, 0, 0, 3, 1, 2, 0, 4, 3, 0, 3, 0, 3, 1, 0, 1, 0, 0, 0, 1, 1, 4, 1, 0, 3, 3, 1, 2, 1, 4, 3, 2, 3, 2, 3, 2, 2, 3, 4, 0, 2, 0, 0, 4, 4, 3, 4, 0, 3, 3, 0, 0, 2, 2, 0, 3, 3, 3, 2, 3, 1, 3, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 4, 1, 2, 0, 4, 3, 0, 3, 2, 4, 3, 4, 0, 2, 2, 1, 3, 4, 4, 0, 4, 1, 0, 4, 4, 0, 2, 4, 4, 0, 0, 4, 3, 1, 2, 0, 3, 2, 0, 4, 0, 0, 4, 0, 2, 1, 0, 1, 4, 4, 2, 1, 2, 4, 2, 0, 2, 0, 1, 0, 4, 3, 0, 0] pubkeycol1025 = [0, 0, 4, 1, 0, 3, 2, 2, 1, 1, 0, 0, 1, 4, 3, 0, 1, 3, 0, 1, 2, 0, 1, 0, 1, 4, 4, 1, 4, 2, 1, 1, 3, 3, 2, 3, 1, 2, 4, 2, 2, 1, 1, 2, 3, 4, 1, 4, 2, 3, 2, 3, 3, 0, 2, 3, 0, 1, 2, 2, 0, 2, 2, 3, 4, 1, 2, 0, 1, 0, 0, 0, 0, 4, 1, 1, 2, 0, 0, 1, 1, 3, 1, 4, 3, 4, 4, 2, 3, 3, 1, 4, 1, 2, 3, 4, 4, 2, 4, 1, 2, 0, 3, 0, 2, 2, 4, 3, 2, 1, 1, 2, 4, 0, 1, 2, 2, 4, 0, 2, 0, 3, 2, 4, 2, 2, 2, 1, 3, 4, 1, 3, 1, 2, 4, 2, 0, 2, 4, 2, 0, 3, 0, 0, 3, 1, 2, 3, 1, 1, 0, 4, 0, 4, 4, 2, 1, 2, 3, 4, 2, 0, 1, 3, 2, 1, 2, 4, 4, 1, 3, 0, 1, 2, 2, 3, 1, 3, 1, 4, 4, 3, 0, 4, 4, 2, 3, 0, 2, 4, 2, 0, 4, 0, 2, 4, 1, 1, 3, 2, 1, 2, 1, 1, 3, 2, 0, 0, 1, 4, 3, 1, 0, 1, 3, 3, 2, 1, 4, 2, 0, 2, 1, 1, 4, 1, 0, 4, 4, 4, 4, 0, 2, 0, 4, 0, 1, 2, 2, 0, 4, 0, 2, 2, 1, 3, 3, 2, 3, 3, 4, 1, 3, 4, 1, 1, 4, 4, 4, 1, 1, 4, 1, 2, 1, 4, 1, 0, 4, 3, 1, 2, 4, 3, 4, 3, 0, 4, 4, 0, 3, 3, 0, 2, 1, 0, 3, 0, 4, 1, 1, 3, 3, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 4, 2, 1, 4, 1, 3, 2, 4, 2, 0, 4, 1, 2, 2, 1, 3, 4, 2, 1, 0, 2, 3, 1, 0, 1, 3, 0, 3, 2, 3, 4, 2, 0, 0, 2, 1, 2, 3, 2, 0, 2, 2, 2, 4, 0, 2, 4, 2, 1, 1, 3, 4, 1, 0, 3, 4, 1, 1, 4, 3, 3, 2, 0, 4, 0, 1, 4, 4, 2, 4, 1, 2, 0, 0, 3, 4, 3, 4, 3, 2, 1, 3, 2, 2, 0, 3, 2, 3, 3, 1, 3, 3, 3, 4, 2, 0, 4] pubkeycol1026 = [4, 4, 2, 0, 2, 0, 2, 0, 3, 3, 1, 0, 0, 1, 0, 2, 3, 0, 4, 3, 0, 2, 0, 3, 3, 3, 0, 0, 3, 0, 2, 1, 1, 2, 4, 1, 0, 3, 0, 2, 4, 2, 4, 4, 1, 1, 2, 1, 3, 3, 0, 3, 0, 0, 4, 3, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 4, 4, 2, 3, 3, 4, 1, 4, 3, 1, 4, 3, 0, 2, 1, 2, 4, 1, 2, 3, 1, 4, 1, 2, 3, 1, 0, 1, 4, 0, 3, 2, 1, 4, 4, 3, 1, 1, 4, 1, 1, 2, 1, 4, 3, 4, 3, 3, 0, 0, 3, 4, 4, 1, 3, 4, 1, 1, 1, 1, 4, 1, 3, 1, 4, 0, 1, 1, 3, 0, 0, 4, 3, 0, 1, 4, 0, 0, 0, 2, 2, 0, 3, 4, 0, 2, 2, 0, 3, 0, 0, 2, 3, 3, 0, 2, 0, 1, 2, 4, 2, 0, 2, 1, 0, 2, 1, 3, 3, 0, 2, 0, 3, 4, 4, 1, 1, 0, 4, 2, 2, 0, 3, 2, 3, 4, 3, 2, 1, 0, 2, 4, 2, 1, 1, 3, 4, 1, 0, 0, 2, 2, 3, 0, 1, 2, 2, 1, 3, 4, 1, 4, 0, 3, 3, 1, 4, 1, 1, 1, 4, 2, 0, 4, 0, 1, 1, 0, 4, 2, 1, 2, 4, 2, 4, 1, 3, 1, 0, 4, 4, 0, 4, 1, 4, 1, 3, 4, 2, 0, 2, 4, 1, 1, 0, 2, 1, 2, 1, 3, 0, 1, 2, 1, 1, 3, 4, 2, 3, 0, 2, 1, 4, 1, 1, 1, 4, 4, 2, 3, 4, 2, 1, 1, 0, 1, 1, 2, 0, 4, 2, 4, 4, 3, 2, 2, 0, 3, 1, 1, 0, 4, 4, 3, 1, 2, 3, 0, 3, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 4, 0, 3, 4, 3, 4, 2, 3, 1, 3, 3, 2, 1, 2, 4, 1, 1, 2, 3, 1, 3, 2, 2, 2, 0, 1, 2, 4, 2, 2, 3, 3, 4, 0, 1, 0, 4, 1, 0, 1, 1, 1, 4, 2, 0, 4, 2, 2, 4, 4, 3, 0, 1, 4, 4, 4, 3, 0, 3, 3, 1, 4, 2, 4, 4, 0, 2, 0, 4, 1, 0] pubkeycol1027 = [1, 1, 3, 4, 1, 3, 1, 2, 4, 4, 2, 1, 4, 1, 1, 2, 3, 4, 1, 3, 2, 3, 2, 0, 3, 2, 3, 1, 2, 2, 4, 2, 4, 2, 0, 4, 2, 3, 0, 4, 0, 4, 4, 4, 3, 1, 1, 4, 3, 0, 3, 3, 1, 3, 4, 0, 0, 1, 0, 1, 4, 4, 3, 0, 2, 3, 2, 0, 1, 0, 0, 1, 2, 3, 1, 3, 4, 0, 4, 2, 0, 0, 1, 3, 2, 0, 4, 0, 2, 1, 0, 4, 0, 4, 4, 0, 2, 0, 2, 2, 4, 1, 1, 2, 1, 3, 3, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 3, 4, 1, 1, 4, 3, 3, 2, 2, 0, 4, 2, 3, 3, 4, 3, 2, 1, 2, 1, 2, 3, 3, 4, 2, 2, 2, 2, 1, 0, 4, 4, 4, 3, 4, 3, 1, 1, 4, 2, 2, 3, 0, 2, 3, 0, 1, 0, 1, 2, 3, 3, 4, 4, 2, 2, 2, 0, 3, 3, 2, 0, 4, 3, 0, 2, 3, 1, 3, 0, 3, 1, 3, 4, 3, 1, 0, 2, 3, 4, 2, 4, 3, 2, 1, 0, 1, 0, 4, 3, 4, 4, 4, 0, 2, 4, 0, 1, 3, 2, 1, 2, 4, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 2, 2, 2, 0, 4, 0, 3, 4, 3, 4, 2, 3, 1, 0, 2, 1, 3, 1, 0, 3, 1, 4, 3, 3, 4, 0, 0, 3, 1, 1, 1, 3, 1, 1, 2, 0, 3, 3, 0, 4, 0, 3, 3, 0, 0, 0, 0, 2, 3, 3, 3, 0, 0, 1, 0, 1, 3, 0, 4, 1, 0, 2, 4, 3, 4, 0, 1, 0, 2, 1, 0, 0, 4, 2, 3, 3, 3, 3, 3, 2, 0, 2, 1, 0, 0, 1, 4, 0, 4, 4, 3, 3, 4, 2, 4, 3, 2, 3, 3, 2, 0, 3, 4, 1, 0, 2, 0, 3, 4, 4, 0, 3, 1, 0, 2, 4, 1, 3, 1, 2, 2, 2, 4, 2, 4, 0, 4, 2, 4, 4, 3, 3, 3, 3, 3, 1, 1, 2, 4, 1, 4, 4, 0, 2, 0, 1, 1, 4, 2, 2, 4, 3, 2, 2, 2, 2, 4, 2, 2, 0, 4, 2, 0, 0, 0, 4] pubkeycol1028 = [2, 2, 4, 4, 1, 2, 1, 2, 3, 0, 1, 1, 0, 4, 2, 3, 0, 4, 0, 2, 3, 2, 1, 4, 2, 0, 0, 2, 1, 4, 1, 2, 3, 4, 3, 3, 2, 3, 3, 0, 2, 4, 2, 0, 0, 2, 4, 4, 4, 3, 3, 1, 4, 4, 1, 0, 0, 4, 0, 0, 0, 0, 4, 0, 2, 1, 0, 4, 4, 1, 3, 4, 3, 1, 0, 0, 0, 4, 3, 3, 4, 2, 2, 3, 0, 0, 0, 3, 4, 2, 2, 4, 4, 0, 3, 4, 0, 2, 4, 4, 0, 0, 3, 2, 1, 1, 0, 2, 4, 4, 4, 0, 1, 3, 4, 3, 2, 1, 4, 0, 1, 1, 2, 3, 1, 4, 1, 2, 4, 0, 2, 4, 3, 2, 3, 2, 4, 2, 2, 1, 1, 2, 2, 2, 4, 0, 2, 3, 0, 0, 1, 0, 1, 1, 3, 4, 1, 1, 0, 4, 4, 0, 1, 2, 0, 3, 0, 4, 3, 4, 1, 1, 2, 3, 2, 0, 2, 0, 1, 3, 3, 1, 0, 0, 3, 2, 3, 2, 1, 4, 2, 1, 1, 3, 3, 2, 3, 4, 3, 2, 2, 1, 2, 2, 2, 1, 3, 4, 2, 1, 4, 0, 4, 1, 0, 0, 4, 0, 3, 1, 4, 2, 1, 4, 0, 1, 4, 0, 3, 2, 2, 4, 2, 4, 1, 1, 1, 1, 2, 1, 2, 3, 3, 3, 2, 0, 4, 4, 3, 3, 4, 4, 0, 4, 3, 1, 1, 3, 1, 0, 0, 0, 4, 0, 1, 1, 2, 1, 1, 0, 1, 2, 3, 1, 2, 1, 3, 3, 2, 1, 4, 0, 3, 3, 2, 1, 1, 4, 1, 1, 4, 3, 4, 4, 3, 1, 1, 4, 4, 1, 1, 4, 4, 2, 0, 4, 0, 0, 2, 0, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 1, 1, 1, 2, 3, 4, 4, 1, 2, 4, 0, 4, 4, 0, 4, 3, 0, 2, 3, 3, 0, 3, 1, 3, 1, 2, 0, 2, 1, 0, 2, 4, 3, 3, 0, 1, 2, 3, 3, 3, 0, 4, 1, 2, 2, 2, 4, 4, 2, 4, 2, 3, 2, 0, 4, 2, 1, 0, 4, 3, 0, 0, 1, 4, 0, 4, 3, 4, 4, 4, 0, 0, 1, 4, 2, 3, 4, 4, 3, 1] pubkeycol1029 = [2, 0, 4, 3, 0, 0, 1, 0, 0, 0, 4, 1, 2, 4, 3, 1, 2, 1, 4, 1, 0, 4, 3, 3, 2, 0, 0, 3, 4, 0, 3, 2, 3, 0, 2, 3, 0, 3, 4, 4, 0, 3, 2, 0, 2, 0, 2, 0, 0, 3, 4, 3, 1, 0, 0, 1, 2, 1, 0, 4, 3, 1, 4, 3, 2, 3, 4, 4, 2, 4, 0, 2, 1, 3, 2, 2, 0, 0, 1, 1, 3, 2, 2, 4, 4, 1, 4, 1, 0, 1, 3, 0, 1, 4, 3, 0, 4, 3, 2, 1, 0, 3, 2, 0, 4, 2, 0, 1, 4, 4, 1, 1, 0, 3, 0, 3, 0, 4, 4, 4, 2, 3, 0, 3, 3, 4, 4, 2, 1, 1, 3, 4, 1, 2, 1, 4, 0, 1, 4, 2, 4, 3, 4, 2, 4, 3, 4, 2, 4, 2, 1, 2, 0, 0, 4, 1, 0, 0, 4, 0, 2, 2, 3, 1, 0, 1, 1, 4, 3, 3, 3, 0, 3, 3, 3, 1, 0, 3, 2, 0, 0, 3, 0, 3, 2, 4, 3, 1, 1, 0, 2, 2, 0, 3, 3, 1, 3, 4, 2, 4, 4, 1, 0, 0, 1, 0, 2, 2, 3, 0, 1, 3, 0, 2, 4, 0, 1, 0, 1, 1, 3, 0, 3, 0, 3, 3, 0, 0, 1, 3, 4, 4, 2, 1, 0, 1, 3, 3, 0, 2, 4, 0, 4, 4, 1, 1, 2, 3, 2, 4, 4, 1, 1, 0, 1, 0, 3, 0, 2, 4, 4, 2, 1, 4, 3, 3, 3, 0, 4, 4, 1, 2, 3, 1, 1, 4, 1, 2, 4, 2, 4, 0, 3, 3, 3, 3, 1, 2, 4, 3, 1, 3, 4, 3, 4, 1, 1, 2, 1, 4, 0, 1, 3, 2, 0, 4, 0, 1, 2, 4, 1, 2, 0, 1, 2, 4, 0, 0, 1, 1, 1, 0, 2, 4, 1, 3, 4, 1, 1, 3, 0, 4, 1, 0, 0, 1, 2, 3, 0, 2, 1, 0, 2, 2, 2, 0, 4, 2, 3, 1, 0, 3, 3, 4, 4, 0, 3, 2, 0, 3, 1, 4, 4, 2, 4, 1, 3, 0, 1, 3, 3, 4, 2, 3, 2, 3, 1, 2, 4, 3, 1, 0, 3, 3, 0, 2, 2, 0, 2, 2, 4, 2, 3, 3, 2, 1, 3, 2, 4, 0] pubkeycol1030 = [4, 0, 1, 1, 2, 3, 2, 2, 3, 3, 1, 1, 1, 4, 3, 2, 1, 4, 4, 3, 2, 2, 4, 0, 3, 2, 2, 0, 1, 4, 4, 0, 3, 4, 3, 4, 3, 4, 4, 1, 2, 4, 2, 2, 3, 1, 2, 2, 1, 3, 1, 3, 3, 4, 2, 3, 3, 0, 2, 2, 4, 4, 2, 1, 3, 2, 0, 2, 4, 3, 2, 4, 2, 2, 4, 3, 2, 3, 3, 4, 2, 0, 3, 0, 4, 4, 3, 0, 2, 4, 2, 0, 4, 2, 3, 3, 2, 4, 3, 3, 2, 3, 4, 4, 3, 0, 0, 2, 2, 2, 4, 0, 0, 4, 4, 4, 1, 0, 1, 4, 3, 4, 1, 1, 4, 2, 2, 3, 2, 3, 2, 0, 4, 1, 3, 1, 3, 3, 3, 1, 2, 4, 1, 4, 1, 4, 4, 2, 0, 0, 4, 2, 1, 4, 2, 3, 4, 3, 0, 2, 1, 1, 3, 4, 2, 0, 4, 4, 0, 4, 0, 0, 1, 0, 2, 1, 4, 3, 4, 3, 2, 4, 0, 3, 1, 1, 4, 1, 3, 3, 4, 2, 4, 2, 4, 3, 3, 1, 4, 3, 2, 3, 4, 3, 0, 2, 0, 3, 1, 1, 3, 4, 0, 4, 0, 0, 1, 3, 4, 3, 0, 2, 3, 2, 4, 2, 4, 3, 0, 3, 0, 1, 3, 1, 0, 3, 3, 1, 4, 1, 2, 4, 0, 4, 1, 1, 3, 4, 4, 3, 3, 4, 4, 4, 3, 1, 3, 4, 1, 3, 4, 3, 3, 2, 0, 4, 1, 0, 3, 2, 3, 0, 0, 0, 0, 3, 2, 3, 3, 3, 1, 3, 1, 3, 0, 1, 4, 0, 3, 4, 3, 2, 3, 4, 0, 1, 1, 0, 2, 4, 0, 2, 3, 0, 0, 4, 0, 4, 2, 1, 3, 3, 4, 1, 2, 4, 3, 0, 4, 4, 3, 2, 4, 2, 1, 2, 2, 1, 3, 1, 4, 4, 2, 2, 1, 0, 3, 1, 4, 3, 1, 4, 2, 0, 1, 4, 2, 0, 4, 0, 3, 2, 3, 2, 0, 1, 4, 1, 2, 0, 0, 1, 3, 4, 3, 2, 3, 0, 3, 4, 0, 1, 3, 4, 4, 2, 3, 1, 3, 0, 3, 3, 2, 3, 3, 1, 2, 0, 3, 1, 1, 0, 3, 1, 1, 0, 0, 3, 1, 0] pubkeycol1031 = [1, 3, 4, 1, 2, 3, 0, 2, 1, 2, 0, 1, 1, 4, 2, 1, 4, 4, 0, 4, 1, 0, 1, 1, 2, 2, 2, 3, 3, 4, 1, 2, 1, 0, 0, 2, 0, 2, 4, 1, 2, 3, 0, 1, 2, 2, 4, 4, 1, 2, 4, 2, 1, 3, 2, 3, 1, 4, 0, 2, 4, 1, 0, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 0, 1, 2, 0, 2, 0, 0, 0, 1, 4, 1, 2, 3, 1, 3, 1, 4, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 3, 1, 2, 0, 3, 2, 0, 0, 0, 3, 3, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 4, 1, 3, 2, 4, 4, 0, 1, 0, 2, 3, 3, 2, 3, 3, 0, 4, 0, 3, 1, 1, 1, 4, 0, 0, 3, 1, 0, 4, 4, 0, 1, 3, 2, 2, 0, 0, 4, 1, 1, 2, 2, 2, 0, 1, 4, 1, 4, 3, 2, 4, 2, 3, 4, 0, 4, 0, 4, 4, 3, 4, 4, 2, 4, 2, 0, 4, 0, 3, 3, 0, 4, 2, 4, 3, 0, 1, 3, 1, 2, 3, 4, 2, 4, 1, 4, 1, 0, 1, 1, 2, 3, 2, 0, 3, 4, 0, 1, 4, 2, 4, 3, 1, 1, 4, 2, 1, 0, 1, 0, 0, 3, 0, 1, 3, 2, 0, 3, 2, 1, 1, 4, 0, 3, 0, 1, 3, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 3, 3, 1, 4, 3, 2, 3, 4, 2, 3, 0, 1, 1, 1, 1, 4, 0, 3, 3, 1, 1, 2, 0, 1, 4, 3, 0, 4, 1, 0, 3, 0, 3, 4, 1, 1, 4, 3, 4, 0, 4, 1, 2, 3, 0, 2, 2, 1, 2, 3, 2, 4, 1, 0, 0, 4, 3, 2, 0, 2, 2, 2, 2, 2, 1, 1, 4, 3, 2, 1, 2, 0, 3, 2, 1, 3, 3, 3, 1, 3, 2, 4, 1, 1, 1, 3, 0, 3, 3, 1, 0, 2, 3, 2, 2, 1, 3, 2, 4, 2, 1, 2, 2, 0, 2, 4, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 3, 2, 2, 3, 0, 0, 1, 1, 4, 1, 0, 1, 0, 1, 4, 3, 3, 2, 3, 3, 3, 1, 4] pubkeycol1032 = [0, 3, 0, 0, 4, 0, 1, 2, 0, 1, 4, 3, 3, 3, 0, 4, 4, 4, 2, 3, 4, 4, 0, 0, 3, 4, 0, 2, 4, 3, 2, 2, 0, 0, 1, 1, 3, 1, 3, 1, 3, 1, 2, 4, 2, 0, 0, 4, 4, 4, 2, 1, 4, 2, 1, 3, 3, 1, 2, 2, 1, 2, 2, 1, 3, 0, 0, 4, 0, 3, 4, 3, 4, 4, 1, 1, 2, 0, 4, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 2, 0, 3, 0, 3, 1, 2, 1, 1, 4, 2, 3, 4, 0, 0, 4, 0, 4, 0, 1, 2, 0, 4, 1, 2, 0, 4, 0, 2, 0, 0, 0, 0, 2, 2, 3, 3, 3, 4, 2, 3, 3, 0, 0, 2, 2, 4, 4, 2, 4, 0, 0, 1, 0, 1, 3, 3, 1, 3, 3, 2, 4, 4, 2, 4, 0, 1, 3, 4, 3, 3, 2, 3, 2, 0, 4, 0, 0, 1, 2, 2, 0, 3, 0, 3, 0, 0, 2, 1, 0, 3, 1, 3, 4, 0, 1, 4, 0, 3, 0, 0, 2, 4, 0, 2, 0, 4, 2, 1, 4, 2, 0, 2, 3, 2, 2, 0, 3, 4, 2, 3, 1, 3, 1, 4, 2, 0, 3, 2, 1, 0, 2, 1, 1, 4, 2, 1, 3, 2, 2, 3, 0, 0, 3, 2, 3, 3, 1, 4, 3, 3, 4, 2, 1, 0, 4, 1, 4, 1, 4, 3, 3, 1, 2, 0, 4, 2, 4, 0, 4, 1, 4, 4, 2, 4, 3, 2, 1, 0, 0, 3, 1, 1, 4, 1, 1, 4, 4, 1, 3, 4, 0, 3, 3, 4, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 3, 0, 2, 2, 4, 0, 2, 2, 3, 4, 1, 4, 0, 2, 1, 3, 2, 1, 3, 3, 2, 0, 3, 3, 0, 3, 4, 3, 3, 4, 2, 4, 4, 2, 4, 3, 3, 1, 1, 1, 0, 0, 4, 4, 2, 1, 3, 0, 4, 1, 4, 0, 3, 0, 2, 1, 4, 4, 4, 0, 2, 3, 1, 1, 0, 4, 4, 0, 0, 4, 1, 1, 4, 3, 0, 2, 2, 0, 3, 4, 3, 4, 3, 3, 1, 3, 0, 3, 2, 1, 4, 1, 3, 0, 0, 1, 1, 4, 2, 2] pubkeycol1033 = [3, 1, 4, 1, 4, 2, 3, 0, 1, 3, 2, 0, 0, 2, 1, 4, 4, 2, 4, 1, 0, 2, 1, 2, 2, 4, 1, 2, 0, 3, 4, 3, 2, 0, 4, 0, 4, 3, 4, 0, 3, 3, 4, 2, 4, 4, 1, 0, 1, 1, 1, 0, 1, 3, 2, 3, 3, 2, 4, 2, 1, 0, 1, 3, 1, 0, 3, 2, 2, 1, 4, 1, 0, 3, 0, 1, 3, 2, 4, 1, 2, 0, 3, 4, 3, 0, 4, 4, 3, 2, 1, 0, 0, 4, 3, 0, 0, 0, 3, 2, 1, 2, 3, 0, 1, 0, 1, 0, 1, 4, 4, 4, 4, 3, 2, 1, 2, 4, 2, 0, 3, 2, 1, 2, 3, 0, 0, 3, 4, 1, 1, 4, 0, 1, 3, 0, 0, 0, 3, 3, 1, 3, 2, 4, 4, 1, 1, 3, 0, 1, 4, 0, 0, 4, 0, 1, 2, 3, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 4, 4, 4, 4, 4, 2, 0, 2, 4, 0, 0, 1, 2, 3, 3, 0, 3, 2, 2, 0, 4, 2, 4, 1, 2, 3, 3, 2, 4, 3, 2, 1, 1, 0, 0, 1, 3, 4, 0, 1, 2, 4, 2, 4, 3, 0, 3, 3, 2, 3, 2, 3, 3, 3, 4, 3, 0, 4, 0, 1, 3, 4, 4, 3, 1, 1, 3, 3, 1, 4, 0, 3, 3, 1, 0, 3, 4, 1, 4, 4, 2, 4, 3, 1, 3, 4, 2, 4, 3, 2, 1, 2, 1, 4, 0, 4, 0, 0, 3, 1, 4, 0, 4, 4, 0, 1, 0, 1, 0, 2, 3, 4, 1, 1, 0, 2, 3, 4, 4, 2, 2, 2, 4, 3, 4, 1, 4, 2, 0, 3, 1, 1, 2, 2, 4, 0, 0, 4, 0, 0, 3, 4, 4, 3, 1, 1, 2, 1, 1, 1, 1, 4, 3, 1, 0, 2, 2, 2, 4, 3, 4, 4, 4, 4, 1, 4, 2, 3, 0, 4, 3, 4, 0, 3, 0, 4, 3, 3, 3, 4, 2, 3, 3, 1, 0, 1, 4, 1, 2, 1, 4, 2, 1, 2, 1, 2, 3, 3, 1, 4, 0, 3, 1, 0, 2, 2, 1, 0, 1, 4, 1, 4, 2, 3, 3, 3, 2, 0, 1, 3, 4, 3, 1, 4, 1, 2, 2, 2, 2, 4] pubkeycol1034 = [2, 4, 4, 2, 0, 3, 0, 1, 2, 1, 4, 4, 1, 2, 0, 1, 0, 3, 2, 4, 3, 2, 0, 0, 1, 1, 1, 0, 4, 1, 1, 3, 4, 1, 0, 4, 1, 1, 2, 3, 1, 3, 0, 0, 0, 4, 0, 1, 4, 0, 3, 1, 4, 2, 2, 2, 4, 1, 0, 2, 3, 4, 4, 2, 0, 1, 4, 1, 0, 4, 3, 3, 2, 0, 1, 3, 2, 4, 1, 3, 1, 3, 1, 0, 0, 2, 4, 1, 3, 1, 2, 1, 4, 3, 2, 4, 4, 1, 1, 4, 3, 2, 0, 2, 1, 2, 0, 2, 3, 1, 0, 3, 2, 1, 1, 2, 4, 0, 0, 0, 1, 2, 4, 1, 4, 1, 4, 4, 3, 0, 3, 3, 4, 3, 4, 3, 3, 1, 1, 0, 4, 1, 2, 0, 0, 0, 2, 4, 4, 1, 2, 2, 4, 2, 0, 0, 1, 4, 2, 3, 0, 0, 2, 3, 4, 4, 0, 4, 1, 2, 0, 3, 1, 4, 4, 2, 1, 1, 0, 3, 0, 0, 3, 4, 4, 2, 0, 1, 2, 0, 4, 1, 2, 4, 0, 3, 3, 2, 3, 0, 2, 1, 2, 3, 1, 2, 3, 0, 3, 3, 1, 3, 1, 1, 2, 2, 4, 3, 0, 1, 1, 3, 0, 2, 1, 4, 2, 1, 1, 4, 0, 4, 2, 4, 3, 2, 3, 2, 0, 1, 4, 4, 0, 3, 4, 3, 0, 1, 1, 3, 1, 0, 0, 1, 3, 1, 4, 4, 3, 3, 4, 3, 2, 0, 0, 2, 4, 2, 4, 0, 0, 2, 1, 3, 0, 0, 2, 1, 4, 2, 2, 4, 3, 4, 1, 2, 2, 3, 3, 0, 2, 0, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 4, 4, 4, 2, 0, 3, 4, 3, 3, 0, 4, 3, 0, 2, 2, 0, 3, 4, 3, 2, 4, 0, 1, 2, 0, 3, 3, 2, 0, 2, 2, 0, 2, 3, 1, 0, 4, 3, 4, 4, 2, 2, 4, 4, 3, 2, 0, 3, 3, 3, 0, 3, 1, 2, 3, 2, 4, 0, 2, 3, 4, 4, 1, 2, 3, 0, 1, 1, 4, 3, 4, 3, 0, 4, 3, 4, 4, 1, 3, 4, 2, 4, 0, 1, 4, 1, 0, 0, 2, 3, 0, 0, 1, 2, 2, 4, 4] pubkeycol1035 = [4, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 3, 3, 2, 1, 4, 3, 4, 4, 4, 2, 4, 4, 3, 3, 1, 3, 3, 1, 1, 1, 3, 3, 2, 3, 3, 4, 0, 1, 1, 1, 3, 2, 0, 0, 2, 0, 2, 1, 2, 4, 1, 0, 2, 3, 1, 0, 1, 4, 2, 2, 0, 3, 4, 0, 3, 1, 4, 2, 3, 1, 4, 4, 4, 0, 3, 4, 3, 4, 4, 0, 2, 0, 4, 1, 0, 0, 4, 2, 2, 3, 3, 4, 1, 1, 2, 1, 0, 4, 1, 0, 1, 2, 0, 0, 3, 1, 3, 2, 3, 2, 1, 3, 2, 2, 4, 3, 2, 0, 3, 2, 0, 4, 3, 0, 2, 0, 0, 3, 2, 4, 1, 3, 3, 2, 0, 2, 3, 4, 0, 4, 3, 1, 1, 0, 3, 3, 3, 4, 1, 3, 4, 4, 1, 3, 0, 4, 3, 0, 4, 2, 3, 3, 1, 4, 2, 2, 0, 1, 2, 0, 1, 0, 3, 2, 1, 0, 1, 3, 0, 0, 2, 4, 0, 3, 0, 0, 1, 2, 4, 0, 0, 4, 4, 0, 0, 4, 2, 0, 3, 0, 1, 1, 0, 3, 0, 2, 3, 0, 0, 2, 4, 3, 4, 3, 1, 2, 4, 0, 3, 3, 0, 2, 3, 0, 3, 3, 0, 4, 4, 2, 2, 3, 2, 3, 4, 1, 2, 1, 1, 3, 3, 4, 4, 2, 1, 1, 2, 3, 4, 2, 3, 3, 4, 3, 1, 1, 4, 3, 1, 4, 4, 3, 3, 2, 2, 4, 4, 0, 4, 0, 2, 0, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 1, 0, 1, 2, 3, 2, 3, 3, 2, 0, 3, 0, 0, 4, 1, 1, 3, 4, 0, 0, 1, 4, 1, 2, 0, 3, 3, 1, 0, 0, 2, 3, 3, 4, 0, 2, 4, 4, 0, 3, 2, 2, 1, 3, 3, 4, 3, 4, 2, 3, 1, 3, 3, 1, 1, 1, 1, 3, 0, 0, 4, 3, 0, 2, 3, 0, 0, 0, 2, 2, 2, 2, 3, 2, 3, 4, 1, 3, 4, 1, 3, 4, 4, 4, 1, 1, 4, 2, 2, 1, 3, 4, 4, 0, 2, 4, 2, 4, 4, 4, 3, 0, 2, 2, 0, 3, 1, 4, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol1036 = [2, 0, 1, 0, 2, 1, 2, 4, 0, 3, 3, 4, 1, 4, 4, 3, 3, 3, 2, 1, 3, 3, 2, 0, 3, 0, 0, 4, 4, 2, 3, 0, 2, 3, 1, 2, 1, 4, 3, 0, 3, 3, 1, 2, 1, 1, 2, 3, 0, 2, 4, 3, 3, 1, 0, 1, 1, 1, 1, 4, 3, 2, 2, 4, 2, 2, 0, 4, 4, 2, 1, 3, 1, 2, 3, 0, 0, 0, 1, 2, 3, 0, 1, 2, 1, 4, 4, 4, 4, 0, 1, 3, 1, 2, 1, 1, 3, 3, 1, 1, 3, 3, 3, 4, 1, 2, 4, 4, 1, 1, 0, 0, 0, 2, 2, 3, 1, 3, 3, 0, 2, 3, 2, 3, 1, 3, 1, 1, 0, 4, 1, 3, 2, 2, 2, 3, 1, 1, 4, 4, 2, 1, 4, 0, 0, 3, 1, 1, 0, 0, 1, 4, 4, 0, 0, 1, 2, 2, 2, 0, 3, 3, 4, 2, 4, 3, 1, 3, 2, 3, 3, 4, 3, 1, 3, 1, 3, 4, 2, 3, 0, 3, 0, 4, 4, 2, 1, 2, 1, 4, 1, 4, 3, 0, 4, 0, 2, 4, 1, 1, 0, 4, 0, 2, 3, 4, 3, 0, 3, 3, 2, 2, 0, 0, 0, 0, 4, 4, 2, 0, 1, 3, 0, 0, 3, 3, 4, 4, 0, 1, 4, 2, 2, 2, 0, 4, 4, 3, 3, 1, 2, 4, 2, 0, 3, 4, 3, 0, 2, 3, 4, 1, 2, 2, 1, 4, 4, 2, 0, 1, 4, 3, 4, 2, 3, 1, 3, 2, 0, 3, 1, 1, 2, 4, 0, 3, 2, 1, 4, 4, 3, 4, 4, 3, 1, 1, 2, 0, 0, 4, 4, 0, 0, 2, 3, 1, 4, 3, 0, 2, 0, 1, 1, 3, 3, 2, 2, 0, 3, 2, 0, 2, 3, 3, 1, 4, 3, 0, 3, 2, 4, 0, 1, 1, 1, 4, 2, 3, 1, 2, 4, 3, 1, 2, 1, 3, 3, 1, 3, 0, 4, 1, 3, 4, 1, 1, 3, 0, 0, 2, 0, 1, 0, 2, 3, 4, 3, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 3, 4, 2, 1, 0, 0, 2, 4, 0, 3, 4, 2, 4, 3, 1, 0, 1, 0, 3, 3, 1, 0, 3, 0, 4, 4, 0, 1, 0, 1, 3, 3] pubkeycol1037 = [0, 3, 3, 1, 4, 1, 0, 1, 1, 4, 2, 3, 3, 3, 2, 3, 1, 3, 4, 2, 0, 0, 1, 4, 4, 2, 1, 1, 0, 4, 0, 1, 4, 3, 0, 0, 0, 4, 2, 1, 3, 1, 1, 2, 3, 1, 1, 4, 3, 2, 1, 4, 3, 3, 0, 3, 4, 3, 3, 0, 1, 2, 4, 2, 0, 1, 0, 0, 3, 3, 2, 2, 3, 1, 2, 1, 3, 0, 1, 0, 2, 3, 3, 3, 2, 0, 2, 1, 4, 4, 0, 3, 1, 3, 0, 1, 0, 1, 3, 0, 2, 2, 0, 1, 2, 0, 3, 2, 1, 1, 0, 2, 0, 4, 3, 1, 1, 1, 0, 3, 0, 3, 1, 3, 0, 2, 0, 0, 4, 4, 4, 2, 2, 1, 3, 4, 2, 1, 1, 0, 1, 3, 4, 0, 4, 0, 0, 2, 4, 4, 1, 2, 1, 4, 3, 4, 2, 3, 1, 0, 1, 4, 3, 1, 2, 0, 4, 1, 0, 1, 2, 0, 2, 2, 4, 0, 2, 3, 0, 2, 0, 4, 1, 1, 4, 0, 0, 0, 0, 3, 3, 3, 2, 4, 1, 4, 1, 2, 3, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 4, 0, 0, 4, 4, 0, 0, 0, 1, 0, 4, 3, 3, 2, 4, 0, 2, 4, 0, 4, 2, 4, 1, 4, 0, 1, 3, 2, 0, 3, 2, 4, 0, 3, 0, 4, 0, 4, 1, 1, 3, 3, 2, 0, 4, 1, 0, 2, 4, 4, 4, 1, 3, 0, 3, 2, 4, 2, 1, 1, 2, 4, 3, 0, 0, 4, 2, 2, 4, 3, 1, 1, 3, 3, 3, 1, 3, 1, 1, 1, 3, 0, 1, 3, 4, 2, 2, 4, 4, 2, 4, 4, 0, 1, 3, 3, 1, 2, 0, 4, 2, 4, 3, 2, 1, 2, 4, 4, 0, 4, 3, 0, 3, 4, 2, 2, 2, 1, 3, 0, 3, 4, 0, 0, 1, 2, 3, 1, 3, 2, 3, 4, 3, 0, 3, 0, 1, 2, 2, 4, 0, 4, 4, 4, 4, 1, 2, 0, 1, 3, 0, 3, 4, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 2, 1, 4, 4, 3, 4, 4, 4, 0, 2, 1, 4, 4, 2, 0, 1, 2, 1, 2, 0, 2, 4, 2, 3, 3] pubkeycol1038 = [1, 4, 2, 1, 0, 1, 4, 3, 4, 1, 4, 1, 3, 2, 0, 2, 1, 4, 3, 4, 2, 1, 4, 4, 0, 1, 4, 0, 3, 3, 1, 1, 2, 2, 3, 0, 4, 2, 3, 2, 2, 1, 3, 1, 4, 3, 3, 2, 2, 0, 2, 3, 0, 4, 1, 4, 4, 4, 3, 1, 0, 1, 4, 1, 1, 2, 3, 4, 2, 0, 4, 0, 0, 0, 2, 0, 3, 4, 4, 2, 4, 1, 2, 2, 1, 3, 4, 3, 4, 2, 0, 1, 3, 2, 0, 3, 2, 2, 2, 0, 1, 3, 0, 1, 4, 2, 4, 1, 0, 1, 2, 3, 3, 4, 3, 2, 3, 1, 1, 0, 0, 4, 0, 2, 1, 1, 3, 4, 0, 1, 2, 2, 2, 0, 2, 1, 0, 3, 4, 3, 1, 1, 0, 2, 1, 3, 1, 3, 2, 4, 4, 2, 4, 4, 0, 4, 1, 4, 1, 0, 4, 2, 2, 1, 1, 0, 2, 1, 1, 3, 3, 0, 3, 2, 2, 4, 0, 2, 1, 4, 2, 2, 1, 1, 4, 1, 2, 0, 4, 0, 1, 2, 2, 1, 2, 1, 0, 4, 0, 0, 2, 3, 0, 3, 2, 1, 2, 4, 4, 3, 3, 0, 2, 3, 0, 3, 1, 0, 1, 4, 4, 4, 0, 1, 4, 3, 1, 3, 4, 4, 4, 2, 3, 4, 2, 2, 1, 0, 3, 3, 4, 4, 4, 2, 3, 1, 3, 4, 2, 2, 2, 4, 0, 2, 4, 2, 1, 0, 0, 3, 0, 4, 2, 3, 3, 2, 4, 2, 4, 0, 1, 2, 2, 1, 4, 0, 4, 4, 1, 4, 1, 1, 2, 4, 0, 2, 0, 4, 1, 2, 4, 1, 2, 3, 0, 1, 1, 3, 4, 0, 1, 3, 3, 2, 1, 1, 1, 0, 2, 1, 0, 4, 2, 4, 0, 2, 2, 3, 4, 3, 2, 0, 1, 1, 1, 2, 3, 0, 1, 1, 2, 0, 0, 1, 3, 0, 1, 2, 1, 3, 2, 1, 4, 0, 2, 2, 1, 1, 2, 3, 3, 1, 3, 0, 1, 4, 1, 4, 0, 0, 3, 2, 1, 0, 4, 2, 3, 1, 2, 3, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 4, 3, 3, 0, 4, 4, 4, 4, 3, 2, 2, 0, 4, 0, 3, 1, 2, 2, 3, 3] pubkeycol1039 = [2, 0, 2, 4, 4, 0, 1, 3, 0, 0, 3, 0, 2, 4, 0, 2, 2, 1, 3, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 3, 1, 0, 1, 4, 3, 1, 0, 1, 0, 1, 0, 4, 2, 3, 4, 2, 1, 4, 3, 1, 3, 3, 2, 1, 2, 3, 3, 1, 2, 2, 4, 4, 4, 0, 0, 2, 4, 4, 4, 4, 0, 2, 3, 2, 3, 3, 3, 1, 4, 1, 2, 2, 0, 2, 4, 1, 3, 0, 3, 3, 4, 0, 3, 3, 2, 1, 3, 3, 4, 0, 1, 0, 2, 4, 0, 1, 0, 0, 2, 2, 1, 3, 4, 0, 3, 4, 2, 0, 3, 0, 4, 1, 0, 2, 4, 4, 2, 1, 0, 2, 4, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 3, 3, 2, 4, 0, 4, 3, 0, 1, 0, 4, 0, 0, 1, 0, 1, 0, 3, 2, 1, 2, 4, 2, 1, 2, 4, 0, 2, 1, 3, 3, 3, 2, 0, 2, 1, 0, 2, 2, 4, 2, 3, 3, 4, 1, 2, 1, 0, 1, 4, 2, 4, 1, 2, 4, 1, 4, 4, 3, 2, 1, 1, 1, 4, 0, 2, 3, 1, 3, 1, 0, 4, 1, 0, 3, 0, 2, 0, 1, 2, 4, 0, 0, 1, 0, 3, 3, 3, 4, 0, 2, 3, 4, 2, 0, 1, 0, 1, 0, 2, 1, 3, 2, 4, 1, 1, 0, 0, 4, 2, 3, 3, 1, 2, 2, 2, 3, 0, 3, 0, 2, 3, 2, 2, 2, 0, 2, 1, 0, 1, 4, 4, 3, 4, 4, 0, 1, 4, 1, 4, 0, 1, 2, 3, 2, 0, 0, 1, 2, 4, 4, 2, 3, 4, 0, 4, 3, 2, 0, 3, 0, 0, 4, 3, 2, 3, 2, 1, 3, 0, 0, 0, 4, 1, 2, 1, 3, 4, 3, 1, 1, 4, 3, 1, 0, 4, 1, 4, 2, 3, 3, 3, 1, 2, 2, 4, 0, 3, 4, 4, 3, 3, 4, 1, 3, 0, 0, 3, 3, 3, 0, 4, 3, 2, 4, 0, 1, 4, 1, 3, 0, 2, 1, 2, 4, 4, 3, 0, 2, 0, 0, 4, 1, 4, 3, 1, 0, 0, 2, 4, 2, 0, 2, 4, 0, 3, 2, 3, 4, 4, 4, 0, 1, 4, 0] pubkeycol1040 = [1, 3, 3, 3, 2, 4, 2, 2, 4, 4, 2, 3, 3, 2, 4, 4, 3, 2, 1, 0, 4, 2, 0, 3, 1, 1, 1, 0, 1, 3, 4, 2, 3, 0, 0, 3, 4, 2, 3, 4, 1, 3, 3, 0, 1, 4, 0, 3, 2, 4, 1, 0, 4, 0, 1, 1, 2, 4, 0, 3, 0, 4, 1, 2, 2, 4, 3, 0, 4, 4, 0, 0, 4, 0, 3, 4, 0, 0, 2, 2, 4, 0, 1, 0, 3, 4, 0, 2, 3, 0, 4, 4, 4, 3, 3, 0, 3, 4, 2, 0, 3, 1, 3, 3, 4, 3, 2, 1, 1, 2, 2, 0, 0, 2, 2, 3, 0, 1, 3, 3, 4, 3, 2, 0, 4, 0, 3, 0, 0, 3, 0, 2, 0, 1, 0, 1, 3, 2, 2, 3, 1, 3, 3, 1, 0, 4, 3, 0, 2, 3, 0, 3, 2, 4, 0, 2, 3, 0, 4, 3, 1, 0, 1, 1, 1, 2, 0, 0, 4, 2, 3, 4, 0, 1, 2, 2, 4, 3, 2, 4, 0, 4, 4, 2, 1, 3, 3, 1, 3, 4, 0, 1, 4, 0, 4, 2, 0, 4, 0, 1, 4, 4, 4, 3, 4, 3, 3, 0, 3, 1, 4, 4, 4, 2, 4, 4, 3, 3, 2, 0, 1, 0, 3, 2, 2, 2, 1, 2, 4, 4, 0, 4, 0, 2, 2, 0, 0, 1, 1, 4, 1, 3, 4, 4, 4, 1, 3, 2, 2, 3, 4, 1, 3, 0, 0, 1, 4, 3, 2, 1, 2, 0, 0, 4, 0, 4, 2, 0, 1, 4, 3, 2, 4, 3, 3, 1, 4, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 3, 4, 2, 2, 2, 4, 0, 4, 3, 0, 0, 0, 3, 2, 4, 2, 0, 1, 0, 4, 4, 2, 1, 1, 2, 3, 2, 1, 1, 0, 1, 3, 3, 2, 3, 4, 4, 0, 2, 3, 0, 0, 0, 4, 1, 0, 1, 0, 3, 0, 4, 3, 0, 4, 0, 3, 0, 2, 1, 2, 1, 3, 4, 4, 2, 3, 3, 1, 3, 3, 0, 3, 3, 1, 1, 3, 4, 0, 2, 0, 3, 4, 4, 3, 2, 2, 3, 1, 4, 4, 3, 0, 1, 4, 3, 0, 3, 2, 3, 4, 1, 0, 3, 4, 2, 4, 1, 0, 4, 2, 0, 3, 2] pubkeycol1041 = [4, 3, 0, 3, 2, 3, 2, 4, 4, 1, 3, 0, 0, 3, 1, 0, 2, 1, 3, 2, 3, 1, 0, 4, 3, 3, 4, 4, 3, 0, 3, 3, 2, 0, 1, 4, 1, 2, 0, 0, 3, 0, 2, 2, 4, 0, 4, 4, 2, 2, 3, 4, 1, 0, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 2, 0, 4, 2, 1, 3, 0, 2, 1, 2, 4, 4, 2, 3, 4, 2, 2, 3, 1, 1, 4, 4, 4, 0, 3, 2, 2, 2, 1, 3, 2, 1, 4, 2, 2, 0, 1, 1, 4, 1, 4, 3, 4, 3, 2, 3, 3, 3, 4, 3, 2, 3, 2, 2, 0, 3, 3, 4, 4, 4, 4, 0, 3, 3, 1, 2, 2, 4, 2, 4, 3, 0, 2, 2, 0, 0, 1, 3, 1, 3, 1, 0, 3, 2, 2, 3, 2, 1, 4, 4, 0, 3, 4, 1, 3, 0, 0, 0, 1, 1, 2, 1, 0, 3, 4, 1, 3, 3, 4, 2, 0, 1, 0, 4, 2, 1, 1, 2, 4, 1, 0, 4, 1, 0, 4, 2, 4, 1, 0, 2, 2, 4, 1, 0, 3, 1, 1, 1, 3, 3, 1, 3, 0, 1, 0, 3, 3, 1, 2, 3, 0, 1, 1, 2, 3, 1, 4, 4, 1, 1, 1, 3, 3, 0, 1, 3, 4, 3, 2, 2, 0, 3, 2, 4, 3, 1, 2, 3, 3, 4, 3, 0, 4, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 3, 4, 4, 0, 1, 1, 4, 4, 0, 0, 2, 4, 3, 1, 3, 3, 3, 0, 3, 4, 0, 3, 3, 4, 3, 1, 1, 4, 4, 4, 1, 4, 2, 2, 1, 0, 4, 0, 2, 3, 2, 4, 1, 3, 1, 2, 1, 2, 4, 0, 2, 1, 4, 1, 3, 0, 0, 4, 3, 4, 0, 1, 2, 1, 4, 2, 3, 4, 0, 3, 3, 3, 4, 0, 2, 1, 1, 4, 3, 4, 3, 2, 3, 1, 0, 1, 1, 2, 3, 1, 0, 3, 2, 2, 4, 3, 1, 1, 1, 4, 3, 0, 0, 2, 1, 1, 0, 1, 4, 2, 0, 2, 1, 1, 0, 3, 4, 0, 2, 3, 1, 4, 0, 0, 3, 3, 3, 1, 3, 2, 3, 0, 3, 0, 2, 2, 3, 1, 2, 2] pubkeycol1042 = [0, 0, 3, 0, 2, 0, 1, 3, 1, 4, 2, 1, 1, 1, 4, 2, 0, 3, 3, 2, 3, 4, 3, 4, 1, 4, 0, 2, 0, 4, 1, 0, 4, 4, 3, 0, 4, 3, 4, 4, 1, 3, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 3, 4, 3, 0, 2, 1, 1, 0, 3, 0, 4, 4, 0, 3, 4, 4, 3, 2, 4, 2, 2, 2, 0, 2, 3, 4, 0, 4, 3, 0, 4, 1, 0, 1, 3, 3, 2, 3, 4, 0, 2, 1, 0, 1, 1, 2, 0, 3, 1, 3, 0, 3, 2, 4, 2, 4, 4, 0, 4, 3, 1, 3, 4, 1, 1, 2, 3, 4, 4, 0, 4, 3, 3, 2, 3, 4, 0, 0, 2, 4, 1, 2, 0, 2, 4, 2, 1, 3, 2, 4, 4, 3, 2, 1, 1, 0, 1, 0, 3, 2, 0, 3, 1, 1, 3, 0, 2, 0, 1, 2, 3, 0, 0, 3, 1, 2, 2, 1, 4, 2, 4, 1, 2, 2, 1, 4, 3, 1, 4, 4, 3, 4, 2, 4, 1, 3, 1, 3, 0, 2, 0, 2, 2, 0, 0, 1, 4, 0, 1, 3, 2, 4, 4, 4, 3, 3, 3, 1, 2, 1, 1, 0, 4, 0, 0, 0, 3, 2, 0, 0, 0, 1, 2, 0, 3, 0, 0, 1, 3, 1, 4, 0, 2, 3, 0, 3, 3, 0, 4, 1, 0, 2, 1, 2, 2, 1, 1, 4, 4, 1, 0, 1, 1, 2, 2, 2, 0, 1, 4, 0, 1, 1, 2, 4, 4, 4, 1, 2, 0, 2, 4, 0, 4, 4, 4, 4, 0, 3, 0, 0, 0, 4, 4, 2, 4, 4, 3, 1, 0, 4, 2, 4, 0, 2, 2, 1, 4, 0, 0, 4, 4, 0, 1, 0, 3, 1, 4, 0, 4, 1, 3, 0, 0, 2, 3, 2, 2, 3, 3, 3, 4, 0, 0, 0, 0, 3, 0, 0, 3, 0, 2, 3, 1, 4, 1, 2, 3, 0, 3, 2, 0, 3, 1, 0, 0, 4, 4, 0, 2, 1, 3, 1, 2, 1, 4, 3, 3, 2, 2, 4, 4, 3, 2, 1, 3, 0, 3, 0, 4, 4, 1, 1, 4, 1, 3, 3, 4, 3, 2, 3, 4, 0, 4, 0, 3, 0, 3, 1, 2, 0, 0, 4, 2, 1, 1] pubkeycol1043 = [2, 2, 0, 2, 4, 2, 0, 3, 1, 2, 2, 1, 4, 1, 4, 4, 4, 4, 3, 4, 2, 2, 2, 2, 4, 4, 1, 2, 4, 0, 3, 0, 1, 4, 4, 3, 0, 4, 4, 1, 4, 3, 1, 3, 2, 2, 2, 0, 0, 2, 2, 3, 1, 3, 2, 4, 1, 2, 2, 2, 4, 1, 1, 0, 2, 0, 4, 0, 1, 0, 1, 2, 1, 4, 1, 1, 4, 0, 0, 0, 0, 0, 0, 2, 3, 0, 4, 3, 3, 3, 1, 1, 3, 1, 0, 4, 3, 3, 0, 2, 0, 3, 0, 1, 0, 1, 3, 1, 4, 4, 2, 2, 4, 2, 0, 3, 1, 3, 4, 0, 3, 2, 3, 2, 4, 2, 0, 1, 2, 0, 2, 3, 3, 3, 3, 1, 4, 3, 4, 0, 1, 2, 3, 4, 2, 0, 0, 0, 3, 2, 2, 0, 3, 3, 0, 1, 3, 4, 0, 2, 2, 3, 1, 4, 2, 1, 4, 4, 3, 3, 0, 4, 1, 3, 4, 1, 1, 0, 2, 4, 1, 4, 4, 1, 2, 2, 3, 2, 1, 3, 2, 2, 0, 1, 3, 0, 4, 4, 1, 4, 0, 1, 0, 1, 3, 0, 2, 4, 2, 0, 3, 2, 0, 3, 0, 4, 4, 1, 1, 4, 1, 0, 4, 3, 2, 4, 1, 0, 0, 2, 0, 4, 1, 4, 2, 1, 2, 4, 2, 3, 4, 4, 3, 0, 3, 4, 0, 1, 2, 4, 3, 3, 4, 1, 3, 4, 2, 1, 3, 2, 4, 4, 1, 1, 4, 1, 4, 1, 1, 3, 1, 4, 3, 4, 3, 0, 0, 2, 3, 0, 3, 0, 1, 3, 0, 4, 2, 2, 3, 1, 1, 1, 0, 1, 3, 4, 3, 1, 0, 2, 1, 1, 3, 3, 0, 0, 0, 4, 1, 2, 2, 1, 4, 0, 4, 1, 2, 4, 2, 4, 3, 3, 2, 2, 2, 1, 1, 3, 0, 1, 4, 0, 2, 1, 1, 0, 0, 1, 2, 1, 4, 0, 0, 2, 1, 4, 1, 1, 1, 4, 4, 2, 0, 3, 3, 3, 0, 4, 2, 2, 0, 0, 0, 3, 1, 3, 2, 0, 1, 3, 1, 1, 2, 4, 2, 4, 1, 2, 0, 2, 3, 3, 1, 0, 2, 1, 1, 3, 4, 2, 4, 1, 1, 1, 2, 3, 1, 1, 2, 0] pubkeycol1044 = [2, 4, 4, 0, 0, 2, 4, 2, 3, 1, 0, 1, 1, 3, 2, 2, 3, 1, 3, 1, 1, 0, 0, 4, 0, 4, 1, 3, 0, 2, 4, 3, 4, 4, 3, 1, 3, 1, 4, 1, 0, 3, 3, 2, 4, 4, 4, 2, 1, 0, 3, 3, 1, 0, 2, 3, 4, 4, 4, 3, 0, 3, 2, 4, 1, 4, 4, 0, 1, 3, 2, 1, 4, 3, 0, 2, 3, 1, 2, 4, 4, 1, 0, 0, 0, 4, 3, 3, 1, 4, 3, 0, 4, 0, 0, 1, 0, 0, 1, 0, 2, 2, 4, 2, 4, 4, 3, 3, 2, 3, 4, 4, 3, 1, 4, 3, 2, 4, 1, 3, 0, 1, 1, 0, 0, 4, 0, 1, 4, 4, 2, 2, 3, 0, 1, 4, 1, 0, 3, 1, 4, 4, 1, 4, 1, 1, 4, 3, 4, 2, 1, 1, 3, 1, 2, 3, 4, 2, 1, 2, 4, 2, 3, 3, 4, 2, 2, 1, 2, 0, 1, 3, 4, 4, 0, 4, 0, 2, 1, 4, 0, 2, 3, 4, 3, 0, 3, 4, 1, 0, 2, 1, 3, 3, 4, 2, 3, 3, 4, 2, 3, 1, 3, 1, 0, 0, 1, 0, 2, 4, 0, 3, 2, 4, 0, 2, 2, 4, 3, 2, 2, 1, 0, 2, 2, 1, 4, 0, 4, 4, 2, 1, 1, 2, 2, 4, 4, 0, 4, 0, 1, 1, 3, 1, 3, 1, 2, 0, 3, 2, 3, 1, 2, 3, 1, 4, 3, 1, 0, 3, 1, 3, 2, 3, 2, 0, 1, 4, 3, 0, 0, 4, 0, 4, 4, 3, 4, 2, 4, 1, 4, 2, 1, 0, 0, 1, 3, 3, 3, 0, 2, 0, 1, 3, 2, 0, 2, 0, 0, 0, 3, 2, 2, 0, 2, 0, 2, 3, 1, 4, 3, 3, 1, 0, 2, 3, 1, 2, 1, 3, 0, 1, 0, 3, 1, 1, 1, 3, 4, 0, 0, 0, 1, 4, 3, 2, 2, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 4, 1, 2, 2, 4, 0, 1, 4, 0, 3, 0, 3, 3, 4, 1, 4, 3, 3, 1, 2, 1, 4, 0, 4, 4, 2, 0, 2, 4, 0, 4, 1, 2, 1, 4, 1, 1, 0, 4, 4, 3, 3, 3, 3, 4, 2, 4, 0, 2, 1, 4, 0, 1] pubkeycol1045 = [0, 3, 0, 0, 4, 1, 4, 2, 0, 1, 4, 3, 0, 3, 4, 2, 1, 3, 3, 1, 0, 2, 1, 3, 4, 2, 3, 1, 2, 2, 0, 3, 4, 1, 1, 2, 1, 3, 2, 2, 0, 3, 1, 0, 4, 2, 1, 4, 1, 4, 1, 0, 3, 1, 2, 4, 3, 3, 3, 4, 0, 3, 1, 4, 4, 2, 3, 2, 0, 3, 2, 0, 3, 1, 1, 0, 1, 3, 3, 2, 3, 2, 3, 3, 2, 2, 4, 0, 1, 0, 2, 1, 3, 4, 0, 2, 2, 4, 2, 0, 0, 1, 3, 3, 3, 4, 1, 1, 4, 2, 0, 1, 3, 1, 4, 2, 3, 4, 4, 2, 0, 0, 1, 0, 0, 3, 1, 2, 4, 4, 0, 3, 3, 0, 2, 4, 1, 2, 2, 2, 4, 3, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 3, 4, 2, 0, 4, 0, 3, 1, 2, 2, 2, 1, 4, 3, 4, 0, 0, 4, 3, 1, 0, 1, 2, 1, 1, 3, 0, 4, 1, 2, 2, 0, 0, 4, 1, 4, 4, 2, 0, 3, 1, 2, 2, 4, 2, 3, 0, 3, 4, 0, 0, 0, 4, 0, 4, 0, 2, 3, 4, 3, 2, 4, 1, 1, 0, 0, 4, 0, 0, 1, 4, 4, 3, 4, 0, 0, 1, 4, 2, 3, 0, 2, 1, 4, 2, 3, 4, 1, 0, 4, 1, 0, 3, 0, 3, 1, 2, 1, 1, 4, 4, 2, 2, 4, 2, 0, 2, 0, 3, 4, 0, 0, 4, 3, 3, 2, 1, 2, 1, 1, 4, 4, 3, 4, 3, 0, 1, 2, 1, 4, 3, 2, 1, 2, 4, 0, 0, 4, 4, 1, 3, 1, 1, 3, 2, 0, 3, 2, 4, 2, 3, 0, 2, 1, 0, 1, 1, 4, 4, 4, 2, 2, 4, 4, 4, 0, 0, 2, 3, 4, 1, 3, 2, 4, 4, 3, 2, 0, 1, 0, 3, 0, 0, 1, 1, 4, 2, 1, 1, 0, 0, 0, 0, 3, 1, 3, 2, 1, 0, 4, 2, 3, 3, 4, 2, 2, 3, 1, 1, 2, 0, 3, 3, 3, 4, 0, 3, 2, 2, 3, 4, 4, 4, 0, 4, 1, 1, 4, 2, 3, 1, 0, 0, 1, 4, 2, 0, 4, 4, 0, 1, 0, 3, 0, 0, 3, 1, 4] pubkeycol1046 = [0, 2, 0, 1, 4, 1, 1, 3, 2, 3, 2, 4, 3, 3, 1, 4, 0, 4, 1, 3, 1, 2, 0, 3, 2, 3, 4, 4, 1, 4, 4, 4, 0, 1, 4, 0, 4, 0, 4, 4, 1, 3, 0, 0, 2, 0, 1, 1, 3, 1, 4, 0, 2, 1, 4, 4, 2, 1, 3, 2, 2, 1, 1, 2, 0, 0, 3, 2, 0, 4, 1, 4, 0, 1, 4, 0, 2, 3, 4, 2, 2, 1, 2, 0, 3, 1, 4, 1, 1, 3, 1, 0, 1, 0, 2, 2, 4, 1, 1, 0, 4, 1, 4, 0, 0, 2, 0, 4, 0, 3, 0, 3, 1, 4, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 4, 2, 1, 1, 3, 0, 0, 2, 0, 1, 0, 0, 0, 4, 4, 4, 2, 2, 0, 3, 4, 1, 1, 1, 0, 3, 3, 0, 3, 1, 1, 2, 0, 4, 2, 1, 1, 3, 1, 0, 4, 2, 3, 4, 1, 1, 4, 1, 2, 3, 2, 2, 3, 3, 0, 0, 1, 4, 0, 1, 3, 4, 2, 4, 3, 3, 2, 4, 1, 0, 4, 2, 0, 1, 2, 3, 4, 3, 4, 0, 3, 1, 0, 4, 3, 4, 4, 1, 4, 4, 3, 4, 3, 0, 4, 2, 4, 1, 3, 0, 0, 0, 4, 2, 3, 3, 0, 0, 0, 2, 4, 4, 1, 0, 3, 2, 0, 2, 3, 1, 1, 1, 3, 1, 2, 4, 0, 0, 2, 4, 0, 2, 0, 1, 2, 2, 3, 4, 1, 3, 4, 3, 2, 3, 1, 0, 0, 4, 0, 4, 2, 4, 4, 3, 3, 3, 3, 2, 4, 3, 2, 0, 2, 2, 0, 0, 4, 2, 1, 0, 0, 4, 3, 2, 3, 0, 0, 3, 1, 3, 3, 2, 2, 3, 3, 2, 1, 3, 0, 0, 1, 0, 0, 1, 2, 1, 4, 3, 4, 2, 0, 3, 3, 4, 1, 3, 0, 0, 3, 3, 1, 2, 3, 4, 0, 3, 4, 3, 1, 4, 1, 1, 3, 2, 2, 2, 1, 2, 2, 4, 2, 2, 3, 1, 1, 0, 3, 1, 4, 3, 0, 3, 2, 4, 1, 4, 1, 1, 3, 3, 3, 4, 0, 0, 4, 0, 0, 3, 3, 0, 2, 3, 2, 2, 1, 4, 2, 0, 2, 4, 4, 2, 2, 1, 3] pubkeycol1047 = [4, 1, 2, 4, 1, 2, 3, 2, 1, 1, 2, 3, 0, 1, 0, 3, 0, 1, 4, 2, 0, 3, 1, 3, 1, 2, 3, 3, 1, 2, 4, 3, 4, 2, 2, 0, 0, 2, 2, 1, 4, 2, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 1, 1, 3, 0, 1, 2, 2, 4, 0, 3, 4, 2, 0, 0, 0, 2, 4, 0, 4, 0, 1, 0, 4, 4, 0, 3, 3, 1, 3, 2, 4, 1, 1, 1, 0, 2, 1, 3, 1, 3, 1, 4, 3, 2, 4, 4, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 3, 2, 4, 0, 4, 0, 2, 3, 0, 3, 2, 2, 4, 2, 1, 1, 4, 2, 2, 0, 0, 2, 3, 3, 0, 2, 3, 0, 2, 0, 0, 2, 2, 2, 3, 2, 0, 3, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 1, 1, 1, 3, 2, 0, 3, 0, 2, 0, 3, 1, 3, 0, 2, 0, 1, 3, 1, 0, 3, 3, 3, 3, 1, 2, 0, 3, 4, 0, 2, 2, 2, 4, 3, 2, 1, 1, 2, 4, 2, 1, 1, 0, 0, 1, 1, 3, 1, 1, 3, 2, 4, 4, 3, 3, 0, 0, 0, 0, 3, 0, 2, 3, 1, 2, 1, 0, 3, 4, 3, 4, 2, 2, 4, 0, 4, 4, 0, 1, 0, 1, 3, 3, 3, 0, 1, 3, 0, 0, 4, 3, 1, 0, 4, 1, 0, 1, 0, 0, 4, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 0, 2, 3, 2, 2, 0, 3, 1, 0, 3, 3, 1, 2, 3, 2, 0, 1, 2, 0, 0, 2, 1, 4, 4, 4, 3, 2, 2, 0, 0, 3, 4, 4, 4, 1, 2, 0, 2, 1, 2, 0, 3, 4, 0, 3, 4, 0, 1, 2, 2, 0, 1, 4, 1, 0, 2, 0, 4, 1, 0, 2, 3, 3, 0, 1, 3, 1, 1, 1, 2, 1, 4, 2, 4, 1, 3, 3, 1, 0, 3, 2, 1, 3, 1, 2, 4, 2, 2, 0, 1, 0, 0, 3, 0, 3, 2, 4, 1, 3, 1, 1, 3, 3, 4, 4, 4, 2, 3, 3, 0, 3, 3, 3, 2, 1, 4, 3] pubkeycol1048 = [4, 2, 1, 2, 3, 3, 0, 0, 3, 3, 1, 1, 3, 0, 0, 0, 4, 4, 3, 0, 4, 0, 3, 0, 4, 0, 4, 2, 2, 0, 0, 3, 2, 3, 4, 4, 4, 2, 0, 3, 0, 3, 4, 1, 3, 3, 3, 3, 4, 4, 3, 1, 0, 2, 1, 3, 0, 0, 0, 3, 1, 4, 2, 1, 4, 0, 2, 1, 1, 1, 4, 1, 1, 0, 0, 4, 1, 1, 2, 4, 1, 2, 4, 4, 1, 0, 0, 2, 4, 2, 4, 4, 0, 0, 2, 0, 0, 0, 3, 0, 2, 3, 4, 2, 4, 3, 1, 2, 1, 4, 3, 4, 0, 3, 3, 4, 2, 2, 2, 4, 1, 3, 3, 2, 2, 2, 0, 1, 1, 1, 2, 4, 3, 2, 1, 2, 4, 4, 0, 1, 2, 1, 0, 0, 3, 4, 0, 4, 0, 0, 0, 1, 1, 4, 2, 4, 1, 0, 0, 2, 0, 3, 1, 3, 4, 3, 2, 2, 1, 1, 2, 1, 2, 3, 2, 3, 3, 4, 4, 1, 4, 2, 3, 0, 3, 0, 2, 0, 3, 1, 0, 1, 2, 2, 0, 3, 3, 1, 0, 4, 1, 4, 3, 3, 4, 2, 2, 1, 4, 2, 4, 3, 0, 0, 4, 3, 1, 2, 2, 2, 4, 2, 4, 4, 4, 3, 4, 2, 4, 4, 4, 0, 3, 1, 3, 4, 2, 3, 0, 3, 4, 3, 4, 2, 1, 0, 1, 0, 4, 2, 3, 0, 4, 1, 2, 0, 1, 0, 4, 3, 4, 3, 4, 4, 2, 0, 0, 0, 3, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 4, 0, 2, 2, 4, 1, 1, 1, 0, 3, 4, 2, 2, 4, 4, 2, 0, 1, 2, 3, 4, 0, 2, 0, 3, 3, 2, 3, 2, 0, 3, 1, 2, 2, 3, 1, 2, 2, 2, 1, 4, 2, 1, 3, 0, 3, 0, 0, 4, 4, 2, 2, 0, 0, 3, 2, 1, 4, 3, 3, 2, 0, 4, 2, 3, 1, 2, 4, 4, 0, 1, 1, 2, 1, 4, 3, 1, 4, 1, 2, 3, 1, 0, 1, 1, 0, 2, 1, 4, 0, 4, 1, 2, 4, 1, 4, 0, 1, 0, 2, 1, 1, 1, 2, 0, 3, 2, 2, 4, 4, 0, 0, 4, 0, 4, 2, 1, 1] pubkeycol1049 = [1, 4, 4, 0, 3, 2, 2, 0, 4, 0, 2, 1, 3, 0, 4, 1, 1, 2, 2, 0, 0, 4, 0, 0, 1, 3, 2, 2, 2, 2, 0, 2, 2, 0, 4, 4, 1, 1, 0, 1, 3, 1, 4, 4, 3, 0, 4, 4, 2, 1, 1, 3, 2, 3, 0, 4, 2, 4, 3, 2, 2, 0, 0, 1, 2, 1, 0, 3, 1, 0, 3, 0, 4, 2, 4, 0, 2, 0, 1, 1, 4, 0, 4, 2, 2, 0, 0, 4, 3, 4, 4, 2, 2, 4, 1, 3, 2, 0, 3, 4, 0, 4, 2, 3, 1, 4, 4, 4, 3, 0, 0, 2, 1, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 0, 1, 0, 2, 0, 4, 1, 1, 2, 0, 3, 0, 2, 2, 4, 1, 0, 0, 2, 3, 0, 4, 1, 2, 3, 4, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 3, 1, 1, 3, 4, 4, 0, 3, 4, 1, 3, 3, 1, 2, 4, 0, 0, 0, 3, 3, 4, 0, 4, 2, 3, 3, 0, 2, 3, 4, 3, 2, 2, 1, 0, 2, 1, 1, 4, 3, 1, 2, 1, 4, 0, 3, 0, 1, 0, 4, 2, 0, 2, 2, 3, 1, 2, 0, 1, 0, 4, 3, 3, 3, 2, 4, 2, 0, 4, 0, 4, 1, 4, 0, 1, 4, 0, 3, 3, 3, 4, 3, 1, 1, 2, 1, 0, 1, 0, 2, 4, 3, 0, 1, 1, 0, 1, 4, 2, 3, 0, 4, 4, 4, 3, 2, 2, 4, 1, 1, 1, 1, 0, 4, 2, 4, 4, 1, 2, 0, 0, 2, 3, 0, 3, 4, 2, 3, 1, 0, 1, 0, 3, 2, 0, 3, 1, 4, 2, 0, 2, 0, 2, 4, 2, 3, 0, 4, 4, 1, 1, 4, 3, 2, 1, 0, 4, 0, 0, 3, 2, 2, 3, 3, 4, 2, 4, 3, 4, 1, 0, 1, 2, 0, 2, 4, 3, 3, 3, 0, 4, 2, 3, 4, 4, 3, 3, 4, 3, 3, 4, 3, 1, 0, 1, 2, 0, 3, 2, 3, 4, 1, 3, 4, 2, 3, 1, 3, 0, 0, 1, 0, 0, 4, 3, 1, 4, 1, 2, 4, 0, 0, 3, 3, 2, 3, 0, 3, 3, 2, 1, 4, 2, 1, 3, 3, 1, 1, 0, 1, 1] pubkeycol1050 = [1, 2, 2, 4, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 3, 3, 4, 0, 0, 2, 0, 1, 1, 1, 0, 3, 4, 1, 4, 4, 4, 0, 0, 2, 0, 1, 4, 3, 1, 1, 4, 4, 0, 2, 0, 0, 0, 4, 4, 1, 2, 2, 4, 0, 4, 3, 3, 2, 4, 0, 0, 0, 4, 2, 3, 0, 2, 4, 1, 4, 1, 1, 0, 4, 2, 4, 3, 1, 2, 0, 0, 0, 2, 2, 1, 4, 3, 0, 0, 2, 3, 2, 4, 4, 1, 0, 1, 0, 4, 4, 1, 0, 0, 0, 1, 4, 3, 3, 3, 2, 4, 2, 2, 3, 0, 1, 3, 3, 4, 0, 2, 0, 3, 2, 1, 0, 3, 3, 1, 0, 2, 4, 3, 1, 3, 4, 3, 2, 1, 1, 1, 4, 3, 0, 4, 1, 3, 4, 3, 2, 2, 1, 3, 2, 2, 4, 4, 1, 2, 2, 3, 4, 0, 4, 1, 0, 1, 2, 1, 4, 2, 4, 1, 1, 1, 3, 4, 2, 1, 2, 0, 2, 4, 0, 1, 3, 0, 3, 4, 2, 4, 0, 3, 0, 0, 2, 4, 1, 0, 2, 0, 1, 1, 4, 1, 2, 3, 1, 1, 4, 0, 4, 2, 4, 0, 1, 1, 4, 0, 4, 2, 2, 4, 0, 0, 4, 3, 1, 1, 0, 2, 3, 1, 0, 3, 1, 0, 4, 2, 4, 2, 4, 4, 4, 4, 3, 4, 0, 2, 0, 4, 3, 4, 4, 3, 0, 1, 4, 3, 2, 4, 2, 2, 2, 0, 3, 1, 1, 0, 0, 1, 1, 1, 3, 4, 1, 4, 1, 3, 0, 4, 4, 4, 4, 1, 2, 2, 4, 3, 3, 2, 0, 0, 2, 0, 0, 0, 4, 1, 1, 1, 0, 4, 4, 1, 1, 4, 0, 1, 4, 2, 2, 0, 1, 0, 0, 1, 0, 1, 4, 4, 4, 0, 1, 4, 2, 0, 4, 1, 3, 2, 0, 4, 2, 4, 4, 0, 4, 2, 1, 2, 3, 3, 0, 3, 2, 2, 4, 1, 4, 3, 3, 2, 4, 4, 3, 1, 4, 4, 0, 0, 2, 0, 2, 3, 0, 3, 3, 3, 2, 2, 1, 2, 4, 2, 3, 2, 0, 4, 3, 4, 3, 3, 2, 0, 4, 2, 4, 4, 4, 1, 3, 2, 4, 0, 0, 0, 3, 4, 1] pubkeycol1051 = [3, 0, 2, 1, 4, 2, 4, 3, 4, 0, 1, 2, 0, 2, 2, 2, 4, 4, 4, 1, 1, 3, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 3, 3, 1, 3, 3, 2, 2, 3, 3, 3, 4, 1, 2, 2, 1, 0, 3, 3, 2, 3, 3, 3, 1, 0, 4, 3, 2, 1, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 1, 4, 1, 2, 1, 3, 4, 0, 3, 1, 2, 2, 0, 3, 4, 3, 0, 4, 0, 3, 3, 4, 1, 3, 2, 4, 2, 0, 1, 1, 4, 0, 4, 1, 0, 1, 3, 1, 0, 1, 2, 4, 0, 1, 4, 0, 2, 1, 1, 0, 2, 1, 4, 3, 3, 1, 2, 1, 0, 4, 0, 2, 1, 1, 2, 1, 2, 4, 2, 3, 3, 2, 2, 0, 2, 2, 1, 3, 0, 4, 2, 4, 0, 4, 3, 2, 1, 4, 4, 4, 1, 4, 2, 0, 3, 4, 4, 1, 0, 3, 4, 0, 2, 3, 4, 1, 2, 2, 1, 4, 0, 1, 1, 2, 4, 3, 2, 0, 0, 1, 4, 3, 0, 3, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 4, 4, 4, 3, 3, 3, 4, 3, 1, 1, 2, 4, 1, 2, 2, 1, 0, 1, 1, 0, 4, 4, 0, 3, 4, 0, 2, 2, 3, 0, 0, 2, 3, 1, 4, 1, 1, 0, 1, 0, 3, 4, 4, 3, 3, 2, 0, 2, 4, 1, 4, 3, 3, 0, 2, 1, 3, 2, 0, 4, 4, 3, 2, 2, 3, 0, 3, 3, 1, 3, 1, 4, 1, 3, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 4, 4, 1, 1, 0, 2, 2, 3, 1, 1, 3, 2, 0, 2, 1, 4, 0, 0, 4, 3, 3, 0, 1, 3, 2, 1, 2, 3, 3, 4, 2, 1, 2, 1, 3, 4, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 0, 3, 4, 2, 3, 4, 2, 3, 4, 0, 1, 1, 3, 3, 3, 4, 3, 4, 3, 3, 4, 0, 1, 0, 1, 2, 3, 3, 0, 2, 0, 0, 0, 2, 1, 3, 3, 3, 4, 0, 2, 1, 3, 2, 4, 1, 4, 2, 0, 0, 0, 4, 1, 1, 1, 4, 1, 0, 3, 0, 0, 4] pubkeycol1052 = [4, 4, 1, 0, 3, 3, 0, 2, 3, 2, 1, 0, 3, 4, 3, 2, 1, 0, 3, 4, 0, 0, 4, 3, 0, 2, 1, 4, 1, 2, 2, 2, 4, 0, 4, 2, 1, 2, 0, 2, 0, 1, 2, 4, 2, 3, 1, 4, 0, 1, 0, 4, 2, 0, 3, 0, 2, 4, 4, 1, 1, 1, 4, 2, 2, 4, 3, 2, 0, 2, 1, 3, 3, 0, 1, 0, 1, 4, 0, 2, 0, 2, 0, 4, 3, 4, 3, 1, 1, 2, 0, 3, 1, 2, 1, 3, 4, 3, 0, 2, 0, 3, 3, 0, 0, 0, 4, 2, 4, 1, 3, 0, 3, 3, 4, 4, 0, 2, 3, 1, 3, 3, 2, 4, 3, 3, 3, 0, 4, 0, 4, 3, 1, 4, 4, 1, 4, 0, 1, 3, 0, 3, 1, 0, 4, 2, 0, 3, 2, 4, 0, 1, 4, 2, 3, 3, 3, 2, 3, 2, 0, 3, 2, 3, 0, 3, 1, 0, 3, 2, 0, 3, 1, 1, 0, 1, 1, 2, 0, 2, 4, 2, 3, 0, 1, 0, 0, 2, 0, 3, 3, 2, 3, 0, 4, 3, 0, 1, 4, 3, 3, 2, 2, 2, 4, 4, 4, 1, 4, 0, 2, 0, 1, 1, 2, 3, 4, 3, 1, 0, 1, 4, 3, 1, 2, 0, 0, 3, 4, 1, 0, 3, 3, 1, 4, 3, 4, 0, 2, 3, 3, 3, 0, 1, 1, 0, 1, 0, 3, 2, 4, 1, 3, 0, 0, 1, 0, 4, 4, 2, 1, 4, 2, 2, 1, 4, 1, 2, 2, 2, 0, 2, 4, 4, 0, 1, 3, 0, 1, 0, 0, 0, 4, 2, 0, 3, 2, 2, 1, 2, 0, 1, 2, 3, 1, 1, 0, 2, 4, 0, 3, 4, 3, 2, 3, 1, 4, 4, 4, 4, 0, 2, 1, 1, 2, 4, 0, 2, 3, 4, 3, 1, 4, 0, 3, 1, 4, 0, 0, 0, 0, 4, 4, 2, 2, 4, 4, 2, 0, 2, 0, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 1, 3, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 4, 2, 2, 2, 0, 3, 1, 1, 4, 4, 3, 4, 1, 2, 2, 1, 0, 1, 4, 2, 3, 0, 3, 3, 3, 3, 0, 3, 3, 4, 2, 1, 4, 4, 4, 3, 3] pubkeycol1053 = [0, 1, 0, 4, 4, 4, 4, 2, 2, 3, 4, 4, 0, 4, 2, 4, 2, 2, 3, 2, 3, 1, 0, 0, 1, 0, 2, 4, 3, 3, 1, 3, 2, 0, 4, 2, 4, 1, 1, 3, 0, 4, 3, 1, 3, 4, 4, 0, 3, 2, 4, 0, 1, 1, 4, 0, 0, 4, 1, 1, 1, 3, 4, 3, 0, 1, 1, 3, 2, 1, 4, 4, 4, 1, 0, 4, 1, 2, 4, 0, 3, 4, 0, 4, 0, 3, 1, 0, 4, 4, 4, 1, 3, 1, 4, 3, 3, 2, 1, 1, 4, 4, 0, 3, 2, 2, 1, 3, 0, 4, 3, 4, 2, 2, 1, 4, 2, 1, 4, 2, 4, 4, 0, 4, 4, 4, 2, 1, 4, 4, 3, 4, 0, 2, 3, 2, 3, 4, 4, 2, 1, 1, 0, 4, 0, 0, 4, 3, 2, 2, 4, 4, 3, 4, 3, 4, 1, 0, 2, 4, 1, 3, 2, 3, 4, 1, 0, 0, 1, 2, 3, 1, 3, 3, 4, 3, 4, 1, 0, 0, 1, 2, 4, 1, 1, 3, 0, 0, 3, 3, 1, 4, 0, 0, 4, 3, 0, 2, 3, 2, 3, 3, 3, 0, 3, 1, 0, 1, 0, 4, 4, 0, 4, 0, 3, 2, 3, 4, 0, 0, 2, 3, 3, 4, 2, 0, 3, 4, 2, 4, 4, 1, 4, 0, 1, 1, 3, 1, 0, 1, 0, 4, 3, 1, 1, 2, 3, 4, 2, 2, 3, 3, 1, 1, 3, 0, 3, 4, 0, 1, 3, 3, 1, 2, 4, 3, 2, 1, 0, 4, 0, 3, 2, 0, 2, 4, 4, 1, 0, 2, 3, 4, 4, 3, 3, 2, 2, 2, 3, 0, 4, 1, 4, 1, 0, 1, 2, 0, 0, 4, 2, 3, 1, 1, 4, 1, 4, 3, 4, 1, 0, 4, 2, 4, 1, 3, 3, 4, 1, 1, 3, 1, 2, 0, 1, 2, 1, 0, 2, 0, 3, 0, 0, 3, 4, 3, 1, 4, 3, 0, 4, 1, 4, 0, 3, 2, 1, 0, 0, 1, 2, 0, 3, 3, 4, 3, 2, 2, 4, 1, 3, 1, 1, 4, 0, 3, 3, 2, 0, 2, 0, 4, 4, 2, 4, 0, 0, 2, 3, 2, 1, 3, 2, 3, 4, 2, 0, 0, 2, 4, 2, 0, 4, 2, 2, 1, 1, 4, 4, 3] pubkeycol1054 = [1, 0, 0, 1, 0, 2, 1, 3, 1, 1, 2, 0, 2, 2, 3, 1, 2, 1, 0, 3, 3, 0, 3, 4, 4, 1, 4, 4, 3, 1, 3, 0, 2, 0, 3, 1, 3, 0, 3, 0, 3, 1, 4, 3, 1, 3, 2, 4, 4, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 4, 4, 2, 3, 1, 2, 0, 1, 3, 3, 4, 0, 2, 0, 4, 4, 0, 3, 1, 4, 4, 4, 1, 3, 3, 1, 4, 0, 2, 4, 2, 3, 1, 1, 0, 2, 0, 4, 1, 1, 3, 4, 2, 3, 4, 1, 0, 0, 1, 3, 2, 3, 4, 0, 1, 4, 1, 3, 2, 0, 0, 0, 3, 3, 3, 4, 1, 2, 1, 0, 0, 0, 4, 3, 3, 1, 2, 4, 1, 4, 1, 2, 3, 0, 1, 4, 3, 3, 0, 1, 4, 2, 4, 0, 0, 0, 3, 3, 3, 0, 0, 0, 1, 3, 0, 1, 4, 1, 2, 0, 1, 1, 0, 0, 3, 1, 4, 0, 0, 3, 4, 0, 1, 4, 4, 4, 4, 4, 3, 0, 0, 1, 3, 1, 3, 3, 1, 4, 4, 2, 0, 1, 4, 1, 4, 4, 2, 4, 2, 0, 3, 4, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 4, 1, 4, 0, 2, 4, 3, 0, 0, 0, 3, 3, 4, 4, 4, 0, 1, 4, 3, 2, 1, 2, 0, 2, 3, 2, 3, 3, 2, 4, 3, 2, 4, 4, 3, 1, 2, 2, 1, 1, 3, 0, 4, 2, 2, 0, 1, 2, 3, 2, 2, 0, 3, 3, 2, 1, 2, 4, 3, 3, 4, 0, 2, 2, 1, 1, 3, 4, 3, 1, 1, 1, 3, 4, 2, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 3, 2, 3, 3, 1, 4, 3, 0, 1, 2, 2, 2, 3, 0, 0, 1, 1, 2, 1, 1, 4, 4, 3, 0, 3, 4, 4, 3, 1, 0, 1, 3, 1, 0, 2, 0, 2, 0, 1, 1, 3, 3, 1, 1, 0, 3, 4, 4, 1, 3, 2, 0, 4, 3, 1, 0, 1, 1, 1, 4, 3, 0, 1, 2, 2, 4, 3, 1, 3, 2, 1, 1, 1, 3, 4, 3, 2, 1, 2, 3, 1, 3, 3, 3, 3, 3, 2, 1, 1, 3] pubkeycol1055 = [0, 3, 1, 0, 0, 0, 2, 1, 3, 2, 4, 4, 2, 2, 2, 2, 3, 2, 1, 2, 1, 1, 4, 1, 0, 2, 0, 3, 0, 4, 4, 2, 1, 0, 3, 1, 3, 1, 4, 4, 1, 4, 4, 4, 2, 4, 1, 0, 0, 4, 4, 3, 4, 3, 3, 3, 4, 2, 1, 2, 2, 0, 0, 1, 0, 4, 3, 2, 3, 2, 3, 2, 1, 3, 0, 3, 3, 0, 4, 4, 3, 0, 2, 1, 3, 1, 1, 2, 4, 1, 1, 0, 2, 2, 4, 1, 4, 0, 2, 3, 3, 0, 4, 0, 1, 0, 3, 0, 1, 2, 0, 3, 2, 1, 0, 0, 3, 0, 0, 3, 0, 4, 1, 2, 4, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 3, 2, 2, 3, 0, 4, 0, 2, 2, 1, 0, 2, 2, 0, 3, 0, 4, 2, 1, 1, 4, 4, 4, 3, 2, 4, 4, 1, 0, 4, 2, 4, 2, 3, 3, 0, 1, 0, 0, 3, 2, 2, 4, 2, 2, 2, 1, 4, 3, 1, 3, 1, 3, 4, 1, 3, 3, 1, 1, 0, 1, 2, 0, 1, 4, 4, 3, 1, 3, 3, 2, 0, 0, 0, 3, 4, 0, 0, 2, 2, 2, 0, 4, 0, 0, 4, 2, 3, 1, 4, 2, 1, 2, 0, 1, 3, 1, 3, 1, 3, 2, 3, 3, 0, 0, 2, 0, 4, 0, 2, 2, 1, 0, 3, 2, 1, 2, 1, 4, 3, 0, 4, 3, 1, 0, 2, 1, 1, 4, 2, 0, 4, 1, 2, 0, 1, 0, 1, 2, 1, 3, 4, 3, 0, 4, 4, 1, 1, 1, 1, 1, 3, 2, 3, 1, 4, 3, 3, 2, 0, 4, 0, 1, 3, 0, 3, 2, 1, 4, 1, 2, 1, 0, 0, 4, 3, 2, 1, 2, 1, 2, 3, 1, 4, 2, 0, 2, 3, 1, 3, 1, 1, 1, 2, 2, 4, 2, 4, 1, 4, 0, 1, 4, 0, 1, 0, 4, 0, 0, 4, 3, 2, 2, 4, 3, 1, 1, 2, 4, 4, 2, 2, 0, 3, 3, 0, 4, 4, 2, 2, 0, 4, 2, 3, 3, 4, 3, 1, 3, 2, 1, 2, 1, 2, 2, 3, 3, 1, 4, 3, 4, 3, 3, 0, 4, 3, 2, 0, 1, 1, 3, 0, 2, 2] pubkeycol1056 = [2, 2, 2, 0, 0, 4, 0, 0, 4, 0, 0, 3, 0, 2, 2, 4, 0, 0, 1, 3, 2, 1, 2, 1, 3, 2, 2, 0, 2, 4, 2, 1, 4, 1, 0, 2, 0, 1, 0, 0, 3, 3, 3, 4, 2, 3, 4, 2, 0, 1, 2, 4, 2, 3, 3, 3, 3, 4, 4, 1, 2, 4, 4, 3, 4, 1, 3, 3, 0, 3, 0, 0, 1, 2, 2, 0, 2, 3, 3, 0, 1, 4, 2, 2, 0, 1, 4, 0, 3, 0, 4, 2, 3, 1, 4, 0, 4, 3, 0, 2, 4, 1, 4, 3, 0, 4, 0, 4, 1, 0, 3, 3, 1, 0, 4, 2, 4, 3, 3, 2, 4, 0, 2, 2, 2, 4, 1, 4, 4, 0, 1, 2, 1, 2, 0, 2, 0, 3, 1, 1, 3, 4, 1, 2, 0, 3, 1, 1, 4, 3, 0, 3, 0, 4, 1, 0, 1, 1, 3, 0, 4, 3, 1, 1, 0, 0, 4, 3, 4, 2, 4, 0, 0, 0, 0, 1, 3, 0, 1, 3, 1, 0, 4, 0, 0, 2, 3, 4, 0, 3, 2, 1, 3, 0, 4, 1, 2, 1, 4, 0, 0, 1, 2, 4, 3, 3, 0, 1, 3, 1, 4, 1, 1, 0, 0, 3, 3, 3, 2, 3, 3, 1, 4, 0, 0, 3, 0, 0, 4, 3, 3, 4, 2, 3, 4, 1, 4, 3, 1, 2, 3, 2, 3, 0, 4, 0, 0, 1, 1, 4, 3, 0, 2, 0, 3, 4, 4, 2, 3, 2, 2, 4, 2, 3, 3, 2, 3, 4, 0, 3, 1, 3, 4, 3, 0, 2, 1, 4, 3, 1, 3, 0, 3, 1, 0, 3, 2, 4, 2, 1, 1, 4, 4, 2, 0, 2, 1, 2, 3, 4, 2, 3, 0, 1, 0, 4, 1, 4, 3, 0, 3, 0, 2, 4, 4, 3, 4, 1, 3, 3, 4, 0, 1, 4, 1, 3, 2, 1, 3, 1, 3, 3, 4, 3, 3, 4, 1, 2, 3, 0, 4, 1, 2, 2, 3, 3, 0, 0, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 1, 3, 4, 2, 3, 4, 1, 0, 3, 1, 2, 2, 0, 1, 3, 3, 0, 3, 4, 2, 4, 3, 2, 3, 3, 3, 4, 2, 3, 0, 1, 1, 0, 1, 2, 4, 4, 4, 3, 0, 4, 3] pubkeycol1057 = [1, 4, 3, 1, 2, 0, 3, 0, 2, 1, 4, 4, 2, 4, 3, 2, 4, 1, 0, 4, 3, 2, 4, 0, 4, 2, 2, 2, 1, 2, 1, 2, 1, 0, 4, 1, 1, 1, 4, 1, 1, 3, 4, 3, 4, 4, 3, 1, 1, 1, 3, 1, 2, 3, 0, 2, 0, 4, 0, 2, 2, 4, 1, 3, 0, 1, 0, 0, 2, 2, 2, 4, 2, 3, 3, 0, 0, 1, 2, 4, 1, 0, 4, 4, 2, 0, 1, 1, 3, 0, 0, 1, 3, 3, 0, 2, 1, 4, 0, 1, 0, 2, 2, 4, 3, 3, 4, 2, 3, 4, 1, 1, 0, 4, 1, 1, 1, 3, 4, 4, 2, 4, 0, 1, 4, 0, 0, 4, 0, 3, 1, 1, 0, 1, 3, 0, 4, 4, 3, 0, 0, 3, 1, 2, 0, 1, 0, 4, 3, 1, 2, 3, 1, 1, 2, 4, 1, 1, 4, 3, 2, 0, 4, 0, 3, 2, 4, 0, 1, 4, 1, 0, 2, 2, 2, 3, 0, 1, 3, 3, 4, 4, 3, 1, 3, 3, 2, 1, 4, 2, 0, 2, 2, 0, 3, 2, 3, 2, 1, 2, 4, 4, 4, 0, 1, 4, 0, 3, 2, 0, 0, 1, 1, 0, 3, 3, 2, 3, 0, 2, 1, 4, 4, 3, 0, 0, 4, 2, 1, 3, 4, 4, 0, 4, 1, 1, 0, 4, 4, 4, 3, 2, 1, 1, 0, 3, 1, 4, 4, 0, 0, 1, 0, 3, 1, 0, 1, 3, 1, 1, 3, 1, 2, 4, 4, 2, 1, 2, 3, 0, 0, 1, 0, 4, 1, 1, 1, 0, 2, 1, 3, 3, 4, 1, 2, 1, 1, 2, 0, 2, 3, 0, 4, 2, 0, 1, 4, 2, 2, 3, 0, 2, 1, 4, 0, 3, 3, 2, 1, 2, 4, 1, 2, 1, 4, 0, 3, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 0, 3, 2, 2, 2, 3, 0, 0, 0, 1, 3, 3, 2, 4, 2, 2, 3, 0, 3, 2, 0, 4, 1, 1, 0, 2, 0, 2, 0, 0, 4, 4, 4, 1, 0, 3, 4, 0, 2, 2, 4, 2, 3, 4, 4, 3, 0, 0, 1, 0, 2, 4, 2, 4, 0, 3, 3, 4, 2, 1, 1, 0, 2, 4, 0, 1, 4, 2, 2, 0, 2, 4] pubkeycol1058 = [4, 4, 3, 3, 2, 4, 2, 0, 3, 4, 2, 2, 0, 0, 0, 3, 0, 1, 2, 4, 3, 1, 1, 0, 0, 1, 2, 2, 4, 4, 1, 1, 1, 3, 0, 1, 4, 3, 0, 4, 0, 0, 4, 4, 3, 0, 3, 3, 2, 0, 2, 0, 3, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 3, 1, 1, 0, 1, 1, 4, 2, 0, 0, 0, 4, 1, 2, 4, 1, 4, 3, 2, 0, 1, 3, 2, 2, 1, 1, 2, 0, 4, 2, 4, 0, 0, 2, 2, 3, 1, 4, 0, 2, 1, 3, 2, 3, 1, 1, 0, 4, 1, 2, 0, 2, 3, 4, 4, 0, 4, 2, 4, 0, 1, 0, 4, 1, 0, 2, 1, 3, 2, 1, 3, 3, 2, 0, 3, 3, 0, 4, 2, 4, 0, 4, 3, 2, 3, 3, 4, 3, 4, 0, 0, 0, 2, 4, 1, 0, 0, 4, 1, 1, 4, 0, 0, 4, 0, 0, 1, 2, 1, 1, 0, 4, 1, 2, 0, 2, 4, 0, 4, 0, 1, 4, 4, 4, 2, 4, 2, 3, 3, 4, 2, 0, 2, 4, 2, 1, 3, 4, 4, 0, 2, 2, 2, 0, 1, 4, 0, 2, 3, 4, 2, 2, 2, 3, 0, 0, 1, 0, 3, 3, 4, 0, 4, 4, 2, 0, 0, 0, 2, 0, 0, 3, 4, 2, 2, 1, 3, 2, 1, 1, 2, 4, 1, 2, 1, 3, 2, 0, 4, 1, 1, 0, 0, 4, 2, 2, 4, 4, 0, 1, 2, 4, 1, 1, 2, 0, 3, 1, 1, 2, 3, 2, 0, 2, 1, 1, 0, 4, 2, 2, 3, 1, 0, 3, 3, 1, 4, 2, 2, 4, 1, 2, 0, 4, 0, 1, 4, 3, 1, 1, 0, 2, 1, 3, 2, 0, 3, 0, 3, 2, 3, 4, 2, 2, 2, 1, 3, 3, 3, 3, 4, 0, 2, 3, 4, 0, 4, 0, 4, 0, 3, 2, 0, 3, 2, 2, 0, 2, 1, 4, 2, 2, 3, 3, 4, 2, 0, 4, 4, 4, 1, 2, 2, 3, 1, 2, 3, 2, 3, 1, 0, 4, 2, 3, 2, 0, 1, 2, 0, 2, 1, 3, 4, 3, 4, 4, 0, 3, 3, 0, 3, 2, 4, 4, 1, 3, 1, 3, 0] pubkeycol1059 = [2, 3, 1, 1, 0, 4, 4, 2, 1, 2, 2, 3, 1, 1, 2, 0, 1, 2, 3, 1, 1, 2, 4, 4, 3, 1, 0, 0, 0, 0, 1, 2, 4, 2, 4, 2, 2, 4, 4, 0, 3, 1, 3, 4, 1, 0, 3, 0, 2, 0, 0, 2, 4, 2, 0, 4, 1, 4, 4, 1, 4, 2, 4, 4, 2, 0, 0, 3, 4, 3, 3, 0, 1, 4, 0, 1, 0, 0, 2, 3, 0, 1, 4, 3, 3, 0, 3, 4, 4, 1, 1, 2, 1, 1, 1, 3, 4, 4, 1, 0, 1, 0, 0, 4, 1, 1, 0, 3, 3, 3, 0, 2, 2, 4, 3, 3, 0, 4, 0, 0, 3, 3, 0, 1, 0, 4, 2, 4, 0, 3, 3, 2, 2, 1, 0, 0, 1, 1, 0, 4, 4, 3, 4, 0, 1, 0, 0, 1, 4, 2, 2, 3, 3, 4, 2, 4, 2, 1, 1, 4, 3, 1, 0, 3, 1, 0, 4, 4, 3, 0, 3, 2, 2, 1, 3, 4, 3, 2, 4, 0, 2, 0, 3, 1, 3, 0, 2, 1, 3, 1, 2, 0, 4, 0, 4, 3, 0, 2, 1, 0, 3, 1, 4, 0, 2, 3, 1, 0, 0, 3, 3, 4, 2, 3, 3, 2, 1, 0, 1, 1, 3, 1, 1, 1, 3, 3, 0, 3, 0, 1, 3, 2, 3, 4, 1, 3, 1, 2, 3, 1, 0, 4, 3, 3, 0, 3, 4, 0, 0, 1, 2, 1, 1, 0, 4, 4, 1, 1, 0, 2, 3, 4, 2, 3, 2, 3, 0, 0, 3, 3, 4, 1, 0, 0, 2, 0, 0, 0, 1, 2, 3, 0, 2, 2, 1, 4, 1, 1, 3, 1, 1, 2, 2, 2, 3, 4, 1, 3, 2, 0, 4, 1, 2, 3, 0, 0, 3, 0, 4, 2, 2, 1, 0, 0, 3, 4, 0, 4, 4, 3, 0, 3, 3, 4, 3, 0, 4, 3, 4, 3, 1, 3, 4, 4, 0, 2, 0, 2, 3, 4, 1, 0, 3, 4, 2, 4, 0, 0, 4, 0, 1, 0, 2, 2, 2, 1, 4, 0, 0, 1, 4, 2, 4, 4, 2, 0, 3, 2, 3, 2, 2, 4, 0, 2, 3, 2, 4, 3, 0, 0, 0, 4, 1, 0, 2, 0, 2, 0, 3, 1, 0, 4, 4, 1, 2, 4, 3, 2, 0, 3] pubkeycol1060 = [4, 4, 3, 2, 4, 0, 4, 2, 4, 2, 4, 4, 4, 2, 3, 4, 2, 3, 0, 4, 3, 4, 2, 4, 2, 0, 0, 3, 1, 3, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 4, 2, 2, 3, 4, 2, 0, 1, 0, 1, 0, 3, 4, 0, 3, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 4, 4, 4, 0, 0, 0, 2, 3, 1, 2, 1, 0, 0, 1, 1, 3, 0, 2, 1, 2, 3, 1, 3, 0, 1, 2, 2, 2, 4, 1, 1, 0, 4, 3, 1, 3, 2, 4, 2, 3, 3, 2, 2, 1, 4, 4, 1, 3, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 0, 0, 4, 1, 4, 0, 2, 4, 2, 3, 1, 2, 0, 1, 2, 2, 2, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 3, 1, 4, 2, 4, 4, 0, 4, 1, 0, 2, 1, 1, 0, 2, 0, 1, 3, 4, 4, 1, 4, 3, 4, 1, 0, 0, 2, 3, 2, 4, 0, 2, 1, 2, 1, 2, 3, 3, 1, 2, 0, 0, 3, 4, 3, 2, 2, 3, 0, 2, 1, 1, 3, 4, 0, 1, 2, 2, 0, 4, 0, 1, 3, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 3, 1, 0, 3, 2, 2, 2, 0, 3, 1, 2, 3, 4, 2, 2, 2, 0, 1, 1, 2, 3, 3, 0, 1, 4, 4, 1, 2, 3, 3, 0, 0, 0, 2, 4, 4, 1, 4, 1, 1, 1, 3, 2, 0, 2, 0, 3, 0, 2, 3, 1, 4, 0, 4, 2, 4, 0, 2, 2, 4, 0, 2, 4, 1, 4, 1, 4, 3, 4, 3, 1, 1, 2, 1, 0, 0, 2, 2, 0, 4, 0, 3, 1, 3, 4, 0, 4, 0, 0, 1, 2, 3, 1, 2, 4, 3, 4, 3, 3, 3, 1, 2, 2, 2, 0, 4, 0, 0, 3, 3, 2, 2, 1, 3, 1, 4, 1, 4, 1, 4, 0, 0, 1, 3, 0, 3, 2, 4, 1, 4, 2, 1, 4, 2, 1, 3, 3, 0, 3, 3, 4, 2, 2, 3, 3, 2, 3, 0, 4, 1, 4, 0, 2, 2, 0, 3, 3, 2, 1, 4, 3, 1, 3, 4, 0, 2, 2, 0, 2, 4] pubkeycol1061 = [3, 3, 3, 0, 3, 4, 4, 2, 3, 0, 1, 4, 1, 1, 4, 0, 0, 2, 3, 4, 3, 3, 4, 2, 2, 1, 2, 3, 4, 4, 2, 0, 1, 3, 3, 2, 2, 0, 4, 4, 0, 1, 4, 1, 1, 4, 1, 4, 1, 0, 0, 1, 4, 2, 4, 1, 1, 1, 3, 1, 4, 2, 0, 3, 1, 3, 4, 3, 2, 2, 1, 2, 4, 2, 3, 4, 1, 3, 3, 4, 0, 2, 4, 2, 1, 3, 1, 3, 3, 0, 4, 1, 4, 2, 2, 3, 3, 3, 3, 2, 0, 4, 0, 2, 3, 2, 4, 0, 4, 4, 2, 2, 1, 1, 4, 3, 0, 3, 1, 3, 2, 1, 3, 2, 4, 1, 2, 0, 0, 2, 0, 0, 3, 0, 2, 1, 4, 4, 0, 4, 3, 3, 0, 1, 1, 4, 3, 3, 2, 3, 2, 0, 4, 3, 3, 0, 2, 0, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 0, 2, 0, 3, 4, 3, 4, 0, 4, 0, 1, 3, 2, 0, 0, 0, 4, 2, 3, 2, 3, 1, 3, 3, 3, 3, 0, 4, 1, 4, 1, 1, 1, 1, 1, 4, 2, 0, 4, 4, 0, 0, 4, 0, 2, 1, 2, 1, 4, 2, 4, 1, 3, 0, 3, 3, 2, 2, 4, 4, 4, 3, 1, 2, 1, 0, 0, 0, 1, 1, 4, 0, 0, 2, 2, 3, 3, 1, 2, 1, 0, 1, 1, 0, 1, 3, 1, 3, 1, 0, 1, 3, 3, 2, 2, 4, 4, 0, 4, 2, 0, 4, 2, 1, 1, 1, 4, 1, 1, 1, 3, 2, 3, 0, 2, 2, 4, 2, 2, 1, 2, 1, 4, 1, 2, 2, 2, 0, 1, 2, 3, 1, 0, 3, 3, 0, 4, 4, 2, 4, 1, 2, 3, 1, 3, 0, 3, 1, 1, 4, 2, 0, 3, 2, 3, 1, 1, 2, 4, 3, 2, 3, 1, 0, 3, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 3, 0, 3, 0, 3, 4, 4, 0, 0, 0, 3, 0, 4, 0, 3, 1, 0, 2, 1, 3, 2, 2, 3, 3, 4, 1, 3, 2, 1, 3, 2, 2, 0, 4, 4, 1, 1, 1, 0, 3, 3, 2, 2, 3, 2, 1, 2, 2, 3, 3, 4, 4, 1, 3, 0] pubkeycol1062 = [1, 2, 2, 3, 4, 4, 3, 4, 4, 4, 0, 0, 4, 0, 2, 1, 3, 0, 0, 1, 1, 3, 2, 1, 3, 4, 2, 2, 2, 1, 3, 2, 0, 3, 4, 1, 4, 0, 4, 3, 3, 2, 0, 1, 4, 1, 4, 2, 0, 3, 0, 2, 3, 2, 2, 1, 2, 3, 0, 0, 2, 4, 4, 2, 1, 0, 0, 3, 4, 0, 0, 3, 4, 0, 2, 2, 2, 0, 0, 3, 2, 0, 2, 3, 2, 4, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 3, 2, 2, 3, 4, 3, 0, 4, 4, 2, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 1, 4, 0, 3, 2, 2, 0, 3, 3, 4, 2, 0, 3, 4, 1, 4, 1, 4, 3, 2, 3, 0, 1, 4, 4, 2, 1, 3, 1, 4, 1, 4, 2, 1, 2, 0, 1, 4, 4, 3, 0, 1, 1, 3, 1, 3, 4, 3, 4, 4, 3, 3, 2, 1, 1, 2, 2, 0, 2, 4, 4, 0, 2, 1, 2, 2, 1, 0, 4, 2, 1, 0, 1, 2, 2, 0, 0, 1, 4, 4, 4, 1, 4, 2, 2, 4, 3, 0, 0, 1, 0, 3, 4, 1, 1, 4, 0, 1, 4, 3, 4, 2, 1, 3, 2, 2, 2, 3, 2, 4, 0, 4, 4, 1, 0, 1, 2, 0, 4, 2, 0, 4, 2, 4, 0, 0, 3, 3, 1, 1, 3, 2, 4, 2, 2, 4, 2, 2, 3, 2, 4, 2, 4, 3, 1, 4, 1, 2, 2, 0, 2, 4, 2, 3, 2, 2, 3, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 4, 0, 3, 1, 1, 2, 4, 1, 4, 3, 4, 1, 2, 0, 3, 2, 0, 0, 4, 1, 3, 4, 3, 1, 4, 0, 4, 4, 2, 0, 0, 1, 1, 4, 1, 3, 3, 1, 2, 0, 2, 3, 2, 4, 2, 4, 1, 4, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 0, 1, 2, 4, 2, 0, 1, 4, 1, 0, 3, 1, 4, 4, 2, 4, 4, 4, 2, 1, 3, 2, 1, 2, 2, 0, 0, 4, 3, 4, 1, 3, 4, 1, 0, 1, 3, 0, 3, 2, 0, 3, 0, 0, 2, 1] pubkeycol1063 = [2, 2, 0, 2, 0, 1, 2, 3, 4, 0, 3, 0, 3, 0, 1, 2, 3, 4, 2, 2, 2, 1, 1, 4, 3, 3, 4, 2, 0, 0, 0, 4, 1, 2, 1, 0, 0, 3, 3, 1, 3, 4, 0, 3, 4, 3, 2, 0, 3, 2, 3, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 2, 3, 0, 1, 1, 1, 1, 1, 4, 2, 0, 3, 2, 0, 0, 4, 2, 1, 0, 3, 0, 4, 2, 2, 0, 1, 1, 1, 2, 2, 2, 3, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 3, 2, 0, 3, 1, 0, 4, 1, 3, 1, 0, 4, 2, 1, 2, 1, 1, 3, 3, 4, 2, 3, 2, 4, 3, 1, 4, 0, 2, 0, 0, 2, 1, 3, 3, 4, 0, 1, 3, 1, 3, 3, 2, 0, 0, 1, 3, 0, 4, 1, 3, 4, 2, 3, 3, 4, 3, 4, 3, 3, 2, 3, 2, 2, 4, 1, 1, 1, 1, 3, 1, 1, 4, 4, 4, 4, 4, 0, 1, 0, 2, 0, 3, 4, 3, 4, 2, 4, 3, 3, 2, 4, 2, 3, 4, 2, 1, 3, 1, 4, 0, 1, 1, 2, 4, 2, 3, 0, 4, 3, 2, 3, 1, 4, 1, 0, 4, 3, 4, 1, 0, 2, 3, 2, 2, 1, 4, 2, 3, 0, 0, 0, 2, 3, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 3, 2, 4, 3, 1, 0, 2, 2, 4, 2, 2, 2, 2, 3, 4, 1, 0, 0, 0, 4, 2, 2, 1, 1, 4, 1, 2, 4, 3, 1, 2, 0, 2, 0, 4, 4, 4, 4, 1, 3, 0, 2, 2, 3, 1, 2, 3, 0, 3, 0, 1, 0, 4, 3, 1, 0, 4, 0, 3, 0, 1, 4, 0, 3, 2, 2, 3, 0, 1, 0, 1, 1, 3, 2, 3, 3, 0, 0, 3, 0, 4, 3, 0, 2, 2, 1, 4, 4, 1, 4, 4, 2, 0, 4, 4, 4, 4, 1, 0, 3, 2, 4, 4, 4, 0, 1, 4, 3, 2, 2, 4, 3, 0, 0, 0, 3, 3, 1, 4, 0, 0, 3, 3, 3, 4, 3, 0, 4, 0, 2, 0, 2, 4, 0, 2, 1, 0, 1, 3, 2, 4, 3, 3, 4, 3, 3, 4, 3] pubkeycol1064 = [4, 4, 0, 4, 1, 1, 1, 2, 4, 3, 2, 0, 4, 0, 2, 2, 3, 4, 1, 0, 0, 2, 1, 3, 4, 4, 2, 1, 1, 0, 1, 0, 4, 3, 3, 4, 2, 2, 1, 2, 4, 2, 2, 2, 4, 3, 4, 3, 0, 2, 0, 3, 3, 4, 2, 2, 0, 0, 3, 2, 2, 1, 4, 4, 4, 3, 4, 1, 1, 0, 3, 2, 4, 1, 3, 4, 0, 4, 0, 3, 3, 0, 2, 1, 1, 3, 3, 4, 2, 4, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 3, 1, 4, 2, 4, 3, 3, 4, 0, 0, 0, 2, 4, 4, 4, 3, 4, 0, 2, 2, 0, 2, 0, 3, 0, 1, 0, 2, 2, 0, 1, 2, 4, 1, 4, 0, 4, 0, 0, 4, 2, 3, 2, 3, 2, 0, 2, 1, 0, 2, 3, 3, 4, 2, 0, 4, 3, 1, 1, 3, 0, 1, 2, 1, 0, 3, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 3, 0, 0, 0, 4, 2, 1, 0, 4, 3, 4, 3, 2, 3, 3, 0, 3, 2, 4, 2, 2, 0, 2, 3, 0, 2, 0, 1, 3, 3, 4, 3, 4, 2, 4, 2, 3, 2, 3, 4, 4, 1, 1, 2, 4, 0, 4, 2, 0, 2, 4, 4, 2, 0, 1, 2, 4, 1, 3, 0, 3, 0, 0, 0, 2, 1, 1, 3, 3, 2, 0, 4, 0, 0, 4, 1, 3, 0, 3, 2, 2, 0, 3, 4, 4, 4, 1, 0, 2, 3, 0, 4, 4, 0, 2, 2, 2, 3, 0, 0, 1, 3, 4, 1, 2, 1, 4, 3, 0, 2, 0, 0, 1, 4, 2, 3, 4, 3, 4, 0, 0, 4, 2, 3, 4, 3, 0, 1, 4, 1, 4, 4, 4, 0, 0, 3, 1, 0, 1, 3, 1, 1, 2, 0, 3, 3, 4, 3, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 4, 1, 1, 4, 1, 3, 2, 2, 3, 3, 1, 4, 1, 4, 3, 2, 2, 1, 1, 4, 2, 2, 2, 0, 4, 4, 2, 3, 0, 4, 2, 4, 2, 3, 0, 2, 2, 4, 4, 4, 4, 1, 2, 2, 4, 4, 0, 4, 3, 1, 4, 0, 0, 1, 1, 2, 2, 1, 4, 2, 0, 2, 3, 0] pubkeycol1065 = [3, 4, 0, 3, 0, 3, 3, 3, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 4, 3, 1, 4, 4, 1, 1, 0, 1, 2, 3, 0, 2, 3, 3, 2, 2, 0, 3, 4, 1, 4, 2, 1, 0, 0, 1, 4, 2, 1, 2, 3, 0, 4, 2, 4, 0, 4, 1, 1, 1, 0, 3, 4, 4, 4, 1, 3, 1, 0, 0, 1, 3, 2, 4, 3, 4, 0, 4, 1, 1, 2, 2, 2, 2, 0, 3, 4, 3, 0, 3, 0, 0, 4, 0, 3, 4, 3, 4, 2, 3, 0, 0, 1, 0, 0, 0, 0, 4, 2, 4, 2, 4, 1, 1, 3, 2, 4, 1, 4, 2, 3, 2, 3, 4, 0, 1, 3, 2, 4, 3, 3, 1, 1, 2, 4, 0, 2, 3, 2, 1, 1, 0, 3, 4, 2, 0, 3, 4, 4, 3, 0, 3, 0, 1, 0, 4, 3, 2, 3, 4, 2, 3, 0, 3, 2, 2, 0, 2, 1, 3, 1, 0, 2, 3, 2, 2, 4, 2, 1, 3, 1, 1, 2, 1, 3, 3, 4, 3, 3, 1, 4, 0, 3, 2, 4, 3, 4, 0, 0, 4, 0, 0, 4, 4, 1, 2, 1, 1, 1, 0, 4, 4, 0, 3, 1, 0, 2, 4, 2, 2, 4, 1, 0, 1, 2, 2, 1, 4, 2, 3, 4, 0, 2, 3, 1, 0, 1, 3, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 3, 1, 1, 3, 0, 3, 0, 2, 4, 1, 2, 3, 1, 3, 2, 2, 3, 4, 2, 1, 3, 0, 3, 4, 3, 0, 4, 2, 0, 3, 1, 3, 1, 3, 4, 1, 4, 2, 4, 2, 2, 1, 4, 3, 3, 2, 0, 0, 3, 3, 3, 1, 3, 3, 0, 3, 4, 0, 4, 2, 2, 0, 3, 3, 3, 2, 0, 4, 1, 0, 3, 1, 0, 2, 4, 2, 2, 4, 2, 3, 4, 2, 4, 4, 3, 0, 1, 3, 1, 0, 3, 4, 4, 4, 2, 2, 0, 0, 2, 4, 4, 0, 3, 4, 3, 0, 2, 0, 2, 0, 3, 4, 4, 3, 3, 1, 4, 1, 3, 1, 2, 3, 0, 1, 4, 1, 1, 1, 1, 1, 2, 0, 1, 3, 2, 3, 2, 1, 0, 2, 3, 0, 2, 2, 1, 2, 3, 1, 1, 2, 0, 3, 3] pubkeycol1066 = [0, 0, 2, 3, 3, 2, 3, 1, 4, 3, 1, 3, 1, 2, 0, 0, 4, 4, 2, 2, 1, 0, 3, 2, 1, 0, 4, 0, 3, 3, 3, 2, 1, 3, 4, 0, 2, 0, 2, 1, 2, 1, 3, 4, 1, 4, 1, 2, 1, 3, 2, 4, 3, 2, 0, 3, 3, 3, 0, 4, 3, 1, 1, 1, 1, 3, 2, 1, 4, 1, 3, 1, 1, 0, 3, 4, 1, 2, 3, 1, 4, 3, 0, 2, 0, 3, 3, 3, 4, 4, 2, 2, 0, 1, 3, 2, 2, 0, 3, 4, 0, 0, 2, 0, 1, 1, 1, 3, 2, 3, 3, 2, 4, 1, 4, 2, 4, 2, 0, 0, 0, 1, 0, 2, 0, 4, 3, 2, 0, 0, 0, 3, 4, 0, 0, 2, 4, 0, 0, 2, 1, 0, 1, 3, 1, 0, 3, 4, 2, 1, 2, 1, 0, 0, 1, 0, 4, 2, 0, 3, 1, 0, 2, 0, 3, 0, 3, 1, 2, 4, 3, 4, 4, 4, 2, 0, 1, 2, 0, 4, 1, 2, 1, 4, 0, 2, 4, 0, 1, 4, 2, 1, 2, 0, 1, 4, 2, 4, 2, 2, 4, 2, 4, 2, 0, 4, 3, 2, 4, 1, 1, 4, 0, 3, 4, 3, 3, 1, 3, 0, 3, 4, 1, 1, 4, 1, 3, 1, 3, 0, 1, 1, 3, 0, 4, 1, 4, 1, 4, 1, 4, 1, 4, 4, 2, 0, 0, 4, 1, 4, 3, 0, 2, 3, 2, 2, 3, 1, 1, 3, 2, 2, 4, 0, 3, 3, 2, 2, 3, 3, 0, 0, 3, 0, 3, 0, 1, 4, 3, 4, 1, 4, 4, 4, 1, 1, 3, 4, 1, 1, 1, 0, 3, 3, 0, 3, 4, 4, 2, 3, 0, 4, 4, 4, 2, 2, 0, 4, 1, 2, 0, 0, 4, 2, 0, 4, 0, 2, 0, 1, 4, 2, 0, 1, 1, 3, 3, 3, 2, 0, 2, 4, 4, 3, 0, 3, 1, 4, 0, 0, 3, 3, 1, 3, 4, 1, 2, 4, 3, 2, 1, 3, 2, 2, 4, 4, 4, 3, 4, 3, 0, 0, 4, 2, 3, 0, 0, 0, 3, 2, 4, 4, 3, 3, 2, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2, 4, 2, 2, 2, 2, 4, 4, 4, 4, 2, 4, 3, 4, 1, 2] pubkeycol1067 = [1, 2, 4, 3, 1, 4, 4, 0, 0, 4, 1, 3, 3, 3, 3, 1, 4, 2, 0, 4, 2, 1, 2, 4, 2, 4, 4, 0, 2, 4, 4, 3, 3, 0, 3, 2, 2, 2, 1, 1, 0, 1, 4, 3, 3, 4, 2, 2, 0, 3, 0, 3, 1, 4, 3, 3, 0, 1, 0, 4, 1, 4, 0, 2, 2, 1, 0, 4, 4, 1, 4, 3, 1, 4, 4, 1, 0, 1, 4, 2, 2, 0, 1, 1, 4, 1, 0, 3, 2, 4, 0, 0, 1, 1, 3, 2, 2, 4, 2, 4, 4, 2, 1, 1, 1, 3, 2, 2, 3, 1, 2, 1, 2, 2, 3, 3, 0, 1, 2, 0, 3, 2, 4, 1, 3, 1, 0, 4, 2, 2, 1, 3, 0, 0, 4, 2, 0, 2, 0, 0, 3, 3, 2, 3, 0, 4, 1, 1, 1, 1, 0, 3, 0, 1, 0, 4, 3, 4, 4, 2, 2, 2, 3, 1, 1, 2, 0, 1, 2, 1, 1, 3, 0, 0, 1, 1, 2, 0, 3, 1, 4, 4, 4, 3, 1, 1, 0, 3, 1, 1, 3, 4, 4, 0, 1, 4, 4, 0, 2, 3, 3, 2, 4, 1, 4, 2, 1, 2, 2, 4, 2, 1, 1, 4, 4, 0, 4, 4, 3, 0, 3, 4, 1, 1, 2, 4, 3, 4, 4, 3, 0, 1, 2, 1, 1, 4, 3, 2, 2, 1, 0, 3, 0, 0, 4, 2, 2, 3, 4, 3, 0, 4, 0, 1, 2, 0, 1, 3, 0, 4, 3, 0, 0, 3, 1, 0, 1, 0, 2, 3, 1, 4, 1, 2, 2, 3, 1, 4, 0, 1, 3, 2, 0, 0, 1, 1, 1, 2, 0, 4, 2, 0, 3, 4, 4, 4, 0, 1, 1, 2, 3, 0, 2, 2, 2, 3, 3, 1, 2, 2, 1, 3, 2, 1, 1, 3, 4, 4, 2, 4, 1, 4, 4, 2, 2, 3, 3, 1, 0, 1, 4, 1, 2, 4, 4, 1, 3, 0, 4, 4, 2, 0, 1, 1, 2, 4, 2, 3, 1, 2, 1, 1, 4, 2, 1, 4, 4, 4, 2, 0, 2, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 2, 1, 2, 0, 4, 0, 3, 2, 1, 4, 2, 2, 3, 2, 4, 2, 2, 3, 3, 4, 3, 4, 0, 1, 3, 1, 0, 1] pubkeycol1068 = [1, 0, 1, 2, 1, 3, 2, 1, 1, 2, 2, 3, 2, 0, 4, 2, 1, 1, 2, 4, 4, 3, 2, 2, 3, 0, 2, 4, 0, 4, 0, 0, 4, 0, 0, 1, 2, 2, 4, 3, 4, 0, 3, 2, 4, 3, 1, 0, 2, 2, 2, 4, 3, 3, 4, 1, 3, 2, 3, 0, 3, 1, 1, 4, 2, 0, 4, 0, 3, 0, 2, 4, 3, 0, 4, 3, 1, 1, 2, 2, 1, 3, 0, 0, 2, 0, 2, 0, 4, 2, 4, 0, 2, 2, 2, 3, 0, 4, 0, 2, 3, 3, 0, 2, 3, 2, 4, 0, 3, 1, 2, 1, 3, 1, 2, 4, 0, 3, 4, 2, 4, 4, 2, 1, 2, 0, 2, 3, 1, 2, 3, 2, 4, 2, 2, 3, 3, 3, 1, 0, 3, 0, 3, 2, 4, 0, 0, 3, 4, 3, 4, 2, 2, 1, 1, 0, 3, 3, 0, 2, 2, 1, 1, 4, 0, 4, 0, 3, 1, 4, 3, 0, 3, 0, 0, 2, 4, 2, 2, 2, 4, 2, 0, 1, 2, 3, 2, 2, 0, 0, 3, 4, 4, 2, 2, 2, 1, 0, 2, 4, 0, 1, 2, 0, 0, 2, 1, 3, 2, 2, 0, 1, 3, 3, 2, 1, 3, 2, 1, 4, 1, 2, 1, 4, 3, 0, 2, 1, 3, 4, 2, 4, 2, 0, 4, 2, 3, 1, 3, 2, 1, 1, 1, 0, 2, 1, 4, 2, 1, 0, 4, 2, 2, 2, 4, 4, 4, 1, 1, 1, 3, 2, 2, 3, 2, 3, 1, 4, 4, 0, 2, 2, 0, 3, 1, 0, 4, 0, 1, 4, 4, 4, 3, 1, 4, 0, 3, 1, 1, 1, 4, 0, 3, 4, 4, 0, 1, 0, 1, 1, 2, 3, 1, 4, 2, 2, 2, 1, 0, 0, 4, 1, 1, 3, 0, 4, 2, 2, 1, 2, 4, 1, 3, 2, 3, 2, 4, 0, 3, 4, 1, 2, 3, 4, 3, 1, 3, 3, 4, 1, 4, 3, 3, 1, 3, 0, 3, 3, 4, 0, 4, 0, 2, 1, 2, 1, 3, 3, 0, 1, 3, 2, 1, 3, 4, 3, 1, 1, 2, 1, 3, 0, 1, 4, 0, 0, 1, 0, 2, 2, 4, 1, 3, 4, 1, 2, 2, 3, 3, 1, 2, 2, 3, 3, 2, 1, 3, 4, 4, 0] pubkeycol1069 = [2, 3, 1, 0, 4, 0, 1, 4, 1, 4, 3, 0, 1, 1, 4, 0, 2, 3, 3, 4, 1, 2, 2, 1, 3, 2, 3, 0, 4, 3, 2, 4, 2, 2, 4, 0, 4, 2, 3, 1, 3, 2, 3, 1, 3, 4, 1, 0, 2, 3, 3, 4, 0, 1, 2, 4, 1, 2, 3, 1, 1, 3, 2, 0, 1, 1, 0, 4, 1, 0, 4, 4, 4, 3, 1, 2, 4, 1, 2, 0, 4, 2, 1, 4, 3, 3, 3, 3, 4, 3, 2, 1, 1, 4, 4, 2, 1, 0, 0, 4, 2, 0, 1, 0, 0, 3, 2, 0, 3, 1, 2, 4, 2, 0, 0, 0, 3, 1, 0, 2, 4, 0, 4, 3, 3, 2, 1, 1, 3, 3, 0, 4, 4, 3, 2, 0, 0, 4, 0, 0, 1, 4, 0, 1, 0, 3, 3, 1, 3, 1, 2, 3, 1, 2, 0, 3, 2, 1, 2, 1, 4, 3, 2, 3, 3, 0, 2, 0, 0, 4, 3, 3, 0, 3, 0, 3, 3, 4, 1, 3, 2, 2, 2, 3, 1, 4, 1, 0, 1, 3, 2, 1, 3, 2, 1, 1, 2, 0, 4, 2, 0, 4, 0, 3, 2, 4, 2, 4, 4, 2, 1, 4, 3, 1, 1, 3, 1, 0, 2, 4, 0, 1, 1, 2, 1, 0, 0, 3, 3, 0, 2, 2, 2, 1, 1, 4, 2, 1, 1, 1, 2, 0, 4, 1, 1, 2, 3, 2, 2, 4, 3, 4, 4, 3, 3, 4, 4, 2, 0, 3, 0, 2, 0, 0, 2, 1, 4, 1, 1, 3, 0, 0, 1, 2, 0, 2, 2, 3, 0, 0, 4, 0, 2, 4, 0, 4, 3, 3, 1, 3, 2, 2, 1, 2, 0, 0, 0, 2, 4, 4, 3, 3, 2, 3, 2, 0, 1, 2, 1, 3, 2, 4, 0, 0, 2, 1, 0, 3, 3, 4, 4, 0, 2, 4, 3, 1, 1, 3, 0, 1, 3, 4, 4, 1, 4, 4, 1, 4, 0, 2, 4, 1, 2, 0, 4, 3, 3, 1, 1, 0, 4, 0, 0, 1, 1, 4, 1, 2, 2, 1, 2, 3, 0, 3, 3, 1, 1, 0, 3, 4, 1, 3, 1, 0, 2, 0, 2, 4, 0, 0, 1, 2, 2, 1, 2, 3, 2, 1, 2, 0, 2, 1, 4, 2, 1, 4, 0, 2, 2, 2] pubkeycol1070 = [4, 1, 2, 4, 3, 1, 2, 4, 0, 3, 4, 3, 1, 3, 4, 3, 3, 3, 0, 3, 2, 0, 2, 4, 3, 3, 2, 2, 0, 4, 2, 4, 0, 1, 0, 1, 1, 2, 3, 3, 2, 4, 4, 3, 4, 2, 2, 0, 3, 4, 4, 0, 3, 4, 3, 3, 3, 1, 4, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 4, 0, 1, 3, 4, 0, 0, 4, 0, 4, 4, 0, 1, 2, 4, 3, 2, 3, 3, 0, 0, 3, 2, 1, 0, 3, 2, 0, 4, 1, 0, 1, 2, 4, 0, 3, 2, 0, 0, 4, 1, 1, 3, 3, 0, 2, 3, 4, 4, 4, 2, 3, 2, 3, 3, 1, 2, 2, 3, 4, 2, 3, 0, 4, 3, 3, 0, 4, 0, 1, 4, 0, 0, 3, 2, 3, 4, 2, 2, 1, 0, 0, 4, 4, 3, 1, 1, 2, 2, 3, 0, 2, 4, 3, 4, 2, 2, 2, 2, 2, 1, 0, 2, 0, 4, 4, 4, 4, 2, 3, 3, 2, 1, 3, 4, 2, 0, 3, 4, 3, 4, 2, 0, 3, 1, 0, 3, 2, 3, 3, 4, 4, 3, 0, 2, 4, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 3, 1, 3, 0, 0, 2, 4, 3, 1, 1, 0, 2, 3, 3, 1, 0, 3, 2, 3, 2, 3, 1, 4, 1, 2, 3, 1, 4, 4, 0, 2, 1, 2, 0, 3, 2, 2, 4, 2, 1, 2, 4, 3, 4, 1, 2, 4, 4, 4, 4, 2, 4, 3, 3, 2, 4, 1, 3, 1, 2, 1, 1, 4, 2, 4, 2, 2, 1, 2, 3, 2, 4, 1, 3, 2, 1, 4, 3, 4, 3, 1, 0, 3, 4, 2, 3, 0, 0, 4, 0, 0, 0, 2, 1, 4, 3, 0, 4, 4, 1, 3, 1, 4, 1, 4, 2, 0, 4, 3, 3, 2, 0, 2, 4, 1, 1, 3, 1, 1, 0, 3, 3, 2, 4, 3, 0, 0, 3, 4, 4, 4, 2, 2, 4, 0, 4, 3, 2, 4, 2, 4, 1, 2, 3, 2, 0, 4, 4, 4, 0, 1, 4, 0, 0, 0, 0, 2, 2, 2, 4, 2, 4, 1, 0, 2, 1, 4, 2, 4, 2, 4, 0, 1, 2, 4, 3, 0, 2, 0, 4, 0, 2, 4] pubkeycol1071 = [3, 3, 3, 0, 4, 4, 4, 1, 3, 3, 4, 2, 1, 0, 3, 0, 4, 3, 0, 4, 2, 4, 0, 0, 3, 0, 3, 3, 3, 2, 4, 2, 0, 3, 0, 1, 3, 3, 1, 4, 4, 0, 4, 3, 3, 4, 1, 3, 4, 0, 2, 2, 2, 4, 2, 4, 0, 0, 4, 4, 2, 0, 3, 4, 1, 0, 0, 4, 4, 2, 2, 3, 3, 4, 2, 0, 0, 4, 1, 4, 4, 0, 1, 1, 0, 1, 4, 1, 4, 0, 4, 4, 4, 4, 1, 2, 0, 1, 1, 3, 1, 3, 1, 3, 1, 3, 0, 4, 2, 2, 4, 3, 1, 4, 4, 0, 0, 3, 0, 0, 3, 0, 1, 0, 1, 4, 3, 0, 2, 2, 0, 3, 3, 3, 3, 0, 2, 0, 4, 1, 2, 1, 0, 4, 0, 3, 3, 1, 0, 0, 2, 0, 0, 4, 1, 2, 2, 3, 3, 2, 2, 0, 3, 3, 0, 1, 0, 1, 2, 4, 3, 3, 0, 3, 0, 0, 3, 4, 2, 4, 0, 2, 3, 1, 4, 2, 4, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 3, 3, 1, 1, 4, 1, 1, 3, 3, 4, 1, 0, 0, 4, 1, 4, 3, 1, 4, 0, 2, 1, 1, 4, 3, 2, 3, 0, 2, 4, 3, 3, 1, 3, 0, 1, 4, 0, 4, 0, 1, 1, 0, 2, 4, 2, 2, 0, 3, 4, 2, 1, 0, 2, 2, 4, 0, 0, 2, 4, 4, 1, 3, 1, 4, 2, 0, 3, 3, 0, 3, 1, 0, 0, 2, 1, 1, 2, 4, 3, 1, 0, 3, 1, 2, 1, 2, 2, 2, 0, 2, 4, 2, 3, 3, 2, 3, 2, 4, 0, 0, 2, 1, 3, 4, 3, 4, 3, 0, 0, 1, 4, 1, 3, 4, 4, 2, 4, 1, 3, 3, 0, 2, 2, 4, 2, 2, 0, 1, 1, 2, 4, 2, 3, 4, 1, 0, 0, 4, 4, 1, 0, 1, 4, 4, 2, 1, 3, 4, 4, 1, 0, 0, 2, 3, 0, 4, 2, 0, 0, 1, 2, 0, 0, 2, 3, 4, 3, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 3, 3, 0, 0, 2, 4, 3, 4, 2, 2, 4] pubkeycol1072 = [4, 0, 4, 1, 2, 0, 4, 1, 2, 2, 1, 2, 2, 4, 3, 2, 3, 0, 4, 1, 2, 0, 1, 2, 1, 3, 3, 3, 1, 2, 3, 0, 3, 1, 0, 4, 0, 0, 1, 1, 3, 3, 2, 2, 4, 0, 2, 2, 3, 0, 2, 2, 1, 1, 4, 4, 1, 3, 2, 1, 2, 2, 2, 2, 2, 3, 1, 0, 1, 0, 1, 0, 0, 3, 2, 0, 1, 4, 2, 3, 2, 4, 2, 3, 4, 2, 3, 4, 0, 0, 1, 3, 4, 1, 0, 4, 2, 4, 4, 0, 2, 2, 2, 4, 1, 3, 2, 2, 4, 1, 2, 1, 2, 2, 1, 3, 2, 4, 0, 3, 2, 3, 2, 1, 3, 4, 3, 3, 0, 0, 1, 4, 4, 1, 4, 4, 3, 1, 4, 3, 3, 1, 2, 0, 2, 4, 3, 1, 4, 2, 0, 4, 4, 0, 4, 1, 4, 0, 3, 2, 3, 0, 2, 4, 1, 2, 4, 3, 4, 3, 1, 2, 3, 3, 2, 4, 1, 0, 3, 1, 2, 1, 1, 2, 2, 4, 3, 2, 0, 4, 1, 4, 1, 2, 2, 1, 4, 4, 0, 1, 1, 0, 4, 3, 4, 2, 1, 3, 3, 2, 3, 1, 4, 1, 1, 3, 0, 3, 0, 1, 4, 1, 3, 2, 4, 1, 1, 2, 1, 0, 1, 2, 0, 4, 4, 0, 4, 2, 1, 3, 1, 0, 1, 0, 1, 3, 3, 0, 1, 1, 4, 1, 0, 4, 1, 1, 1, 0, 0, 2, 0, 0, 4, 0, 1, 3, 2, 0, 1, 3, 3, 1, 4, 3, 2, 0, 1, 3, 0, 0, 1, 3, 0, 2, 1, 0, 3, 4, 1, 4, 3, 3, 2, 4, 0, 4, 0, 0, 3, 3, 2, 0, 4, 2, 2, 2, 2, 2, 4, 0, 3, 1, 4, 0, 1, 0, 1, 3, 3, 0, 2, 0, 4, 2, 4, 2, 4, 1, 4, 2, 2, 2, 2, 1, 1, 3, 1, 0, 4, 3, 1, 2, 4, 0, 0, 1, 2, 4, 2, 2, 3, 1, 2, 0, 3, 3, 2, 3, 0, 3, 2, 3, 1, 4, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 3, 2, 1, 3, 1, 0, 3, 4, 0, 2, 0, 4, 1, 3, 4, 4, 3, 0, 3, 0, 0, 3] pubkeycol1073 = [4, 0, 3, 4, 1, 1, 0, 4, 4, 1, 0, 2, 3, 1, 0, 2, 0, 0, 4, 2, 1, 4, 1, 3, 4, 4, 1, 3, 4, 2, 1, 2, 0, 0, 3, 3, 3, 4, 2, 4, 1, 4, 0, 3, 0, 4, 2, 3, 4, 4, 1, 2, 1, 2, 3, 1, 4, 1, 3, 3, 3, 0, 2, 2, 1, 0, 0, 1, 1, 4, 0, 3, 4, 2, 3, 2, 3, 1, 4, 4, 0, 2, 0, 1, 4, 1, 2, 1, 4, 2, 1, 0, 3, 0, 3, 0, 4, 1, 2, 1, 1, 2, 2, 1, 2, 4, 3, 3, 4, 0, 3, 4, 1, 1, 1, 0, 1, 4, 0, 4, 3, 3, 1, 1, 0, 0, 0, 2, 1, 4, 0, 1, 4, 2, 2, 1, 2, 3, 2, 0, 1, 1, 1, 0, 0, 2, 1, 3, 3, 4, 3, 3, 2, 1, 4, 3, 4, 1, 0, 4, 0, 3, 1, 2, 1, 4, 3, 3, 0, 4, 3, 0, 0, 1, 0, 0, 3, 2, 4, 1, 2, 4, 4, 3, 4, 0, 1, 1, 3, 1, 1, 2, 3, 3, 1, 0, 3, 1, 3, 1, 0, 2, 4, 4, 2, 4, 3, 2, 1, 0, 1, 2, 0, 4, 4, 0, 1, 2, 0, 1, 2, 1, 0, 3, 3, 4, 2, 3, 1, 2, 4, 2, 2, 3, 2, 1, 3, 2, 4, 4, 1, 2, 1, 4, 4, 4, 2, 1, 0, 0, 2, 1, 1, 3, 0, 1, 3, 3, 0, 0, 3, 4, 2, 0, 4, 3, 0, 1, 4, 4, 2, 4, 3, 4, 1, 3, 0, 0, 1, 4, 0, 1, 0, 4, 3, 3, 0, 4, 4, 3, 1, 2, 2, 0, 4, 3, 2, 3, 0, 1, 2, 1, 2, 3, 3, 3, 4, 1, 3, 0, 0, 1, 4, 1, 3, 3, 2, 4, 4, 4, 1, 0, 2, 2, 4, 0, 3, 1, 3, 4, 3, 3, 0, 2, 3, 1, 3, 2, 4, 3, 4, 0, 3, 2, 4, 4, 3, 0, 3, 1, 4, 4, 1, 1, 4, 3, 3, 2, 0, 3, 3, 2, 1, 3, 0, 3, 4, 1, 1, 3, 2, 3, 0, 2, 2, 2, 0, 2, 1, 4, 4, 3, 4, 0, 1, 1, 3, 0, 4, 0, 2, 3, 2, 4, 1, 4, 2, 0, 4, 2] pubkeycol1074 = [4, 0, 1, 2, 3, 0, 2, 1, 2, 4, 2, 4, 4, 3, 3, 3, 3, 4, 1, 0, 2, 0, 4, 0, 2, 0, 3, 3, 4, 0, 2, 2, 0, 0, 1, 2, 4, 3, 0, 0, 2, 0, 4, 0, 4, 3, 0, 3, 1, 0, 3, 3, 1, 4, 4, 0, 4, 0, 1, 3, 4, 2, 1, 3, 0, 4, 1, 1, 0, 4, 1, 0, 1, 2, 0, 1, 3, 0, 0, 0, 0, 0, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 0, 4, 4, 4, 3, 3, 4, 4, 1, 0, 4, 0, 0, 1, 3, 0, 1, 3, 3, 0, 0, 3, 2, 1, 2, 0, 3, 1, 0, 4, 3, 2, 4, 0, 1, 0, 1, 2, 2, 4, 4, 2, 1, 3, 1, 0, 0, 0, 2, 3, 1, 0, 4, 3, 2, 2, 0, 3, 3, 2, 3, 4, 1, 2, 4, 3, 3, 0, 4, 4, 2, 3, 4, 0, 0, 0, 3, 1, 1, 4, 1, 3, 4, 1, 1, 0, 3, 3, 4, 4, 3, 3, 0, 0, 0, 0, 2, 1, 3, 0, 4, 0, 1, 1, 2, 1, 4, 2, 4, 0, 0, 4, 3, 3, 4, 4, 4, 1, 1, 0, 3, 3, 3, 2, 4, 2, 2, 2, 1, 0, 3, 1, 2, 0, 3, 1, 2, 4, 0, 3, 4, 1, 3, 1, 4, 1, 1, 1, 0, 4, 4, 1, 3, 4, 4, 3, 0, 4, 3, 1, 2, 0, 3, 3, 1, 0, 3, 4, 2, 0, 3, 2, 0, 0, 4, 4, 2, 1, 1, 0, 1, 3, 3, 1, 2, 0, 1, 1, 1, 1, 4, 1, 0, 1, 2, 2, 4, 1, 3, 4, 1, 0, 2, 3, 4, 3, 3, 2, 0, 4, 0, 4, 2, 1, 0, 2, 3, 4, 4, 3, 0, 4, 2, 2, 1, 4, 3, 2, 3, 3, 1, 1, 0, 1, 3, 1, 1, 2, 0, 0, 1, 0, 2, 4, 4, 0, 0, 0, 4, 1, 1, 1, 0, 0, 3, 0, 3, 1, 2, 2, 4, 3, 4, 4, 2, 1, 0, 1, 2, 2, 4, 0, 0, 2, 4, 1, 3, 3, 4, 2, 1, 2, 3, 0, 2, 4, 1, 1, 0, 3, 2, 0, 0, 2, 0, 0, 1, 3, 2, 3, 0, 3, 3, 1, 0, 3, 2, 3] pubkeycol1075 = [1, 4, 1, 2, 2, 2, 3, 2, 3, 0, 3, 1, 4, 0, 4, 1, 3, 4, 2, 1, 1, 0, 0, 3, 2, 1, 3, 4, 0, 4, 1, 4, 0, 2, 2, 4, 1, 4, 2, 3, 1, 1, 4, 4, 0, 4, 2, 1, 4, 3, 1, 4, 1, 4, 4, 1, 1, 1, 1, 3, 4, 4, 0, 4, 0, 1, 2, 2, 3, 1, 2, 2, 4, 3, 1, 1, 3, 0, 4, 4, 3, 3, 2, 4, 2, 4, 1, 3, 2, 1, 1, 3, 4, 0, 3, 3, 4, 1, 1, 3, 0, 3, 2, 2, 1, 2, 0, 2, 3, 1, 1, 2, 3, 2, 3, 3, 0, 4, 0, 4, 4, 1, 1, 3, 4, 1, 3, 2, 4, 2, 3, 4, 1, 2, 3, 3, 3, 4, 3, 2, 0, 0, 1, 1, 3, 3, 3, 3, 3, 0, 1, 2, 4, 1, 3, 1, 4, 2, 3, 3, 3, 4, 4, 2, 4, 4, 2, 4, 1, 2, 0, 3, 1, 0, 0, 0, 0, 4, 2, 2, 2, 0, 2, 3, 0, 1, 3, 4, 2, 0, 1, 0, 0, 0, 3, 1, 0, 0, 1, 2, 2, 2, 1, 3, 4, 0, 3, 1, 3, 1, 3, 1, 0, 2, 2, 1, 0, 2, 4, 4, 2, 3, 0, 1, 3, 1, 2, 1, 0, 1, 3, 4, 0, 0, 1, 3, 4, 3, 2, 1, 3, 1, 3, 1, 2, 1, 2, 1, 0, 1, 2, 4, 3, 1, 2, 3, 2, 1, 2, 1, 4, 0, 3, 0, 4, 4, 2, 1, 3, 4, 1, 0, 0, 3, 2, 4, 3, 4, 1, 1, 4, 1, 3, 0, 3, 4, 2, 1, 4, 3, 1, 2, 2, 4, 2, 3, 2, 3, 0, 1, 4, 1, 3, 4, 3, 1, 4, 3, 4, 1, 0, 4, 2, 0, 0, 3, 1, 3, 1, 2, 1, 2, 3, 1, 1, 4, 3, 2, 1, 4, 0, 3, 3, 2, 0, 0, 3, 2, 4, 1, 0, 2, 2, 1, 0, 4, 0, 0, 4, 3, 4, 2, 0, 3, 2, 1, 0, 1, 4, 0, 1, 4, 0, 3, 2, 0, 3, 4, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 4, 0, 4, 0, 2, 1, 4, 4, 3, 4, 3, 1, 4, 4, 0, 3, 2, 1, 3, 4, 2, 3] pubkeycol1076 = [3, 1, 0, 4, 2, 4, 3, 2, 0, 0, 2, 0, 0, 0, 3, 0, 4, 0, 1, 2, 3, 4, 1, 0, 2, 2, 0, 3, 0, 1, 2, 0, 0, 2, 4, 0, 0, 3, 3, 2, 4, 0, 2, 3, 1, 0, 0, 0, 1, 0, 3, 2, 1, 0, 4, 4, 0, 3, 1, 0, 2, 1, 4, 4, 0, 4, 2, 4, 1, 0, 3, 0, 0, 0, 1, 1, 1, 0, 2, 3, 2, 2, 1, 2, 3, 3, 4, 3, 4, 3, 4, 0, 0, 0, 3, 4, 1, 3, 1, 3, 2, 0, 1, 2, 3, 0, 3, 4, 2, 3, 1, 1, 4, 1, 4, 4, 3, 0, 4, 4, 1, 0, 3, 1, 3, 4, 1, 3, 0, 2, 0, 1, 3, 1, 2, 3, 3, 3, 1, 2, 3, 2, 3, 4, 2, 0, 3, 1, 1, 1, 1, 0, 3, 4, 4, 2, 4, 0, 3, 4, 0, 0, 3, 1, 2, 1, 0, 1, 1, 4, 2, 3, 3, 2, 3, 3, 3, 4, 2, 1, 3, 2, 2, 1, 0, 0, 4, 4, 0, 2, 0, 1, 4, 4, 0, 4, 2, 2, 3, 2, 4, 0, 4, 3, 1, 0, 1, 1, 0, 4, 1, 4, 1, 2, 1, 0, 4, 2, 1, 4, 1, 2, 1, 2, 0, 0, 1, 0, 4, 4, 1, 1, 0, 1, 2, 0, 3, 3, 2, 0, 2, 1, 2, 2, 4, 4, 0, 0, 4, 1, 3, 1, 4, 3, 1, 3, 3, 4, 0, 4, 0, 4, 1, 2, 1, 2, 2, 1, 2, 3, 2, 0, 4, 3, 2, 3, 3, 3, 4, 1, 4, 0, 4, 1, 3, 2, 4, 4, 1, 2, 1, 0, 3, 2, 4, 4, 0, 0, 3, 3, 1, 0, 4, 0, 2, 2, 1, 0, 0, 2, 3, 4, 1, 0, 2, 4, 2, 0, 2, 1, 4, 2, 3, 4, 0, 2, 1, 0, 4, 0, 0, 2, 4, 3, 4, 0, 4, 1, 1, 4, 1, 2, 3, 0, 3, 1, 4, 3, 2, 4, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 4, 4, 3, 4, 0, 0, 3, 2, 1, 1, 4, 3, 2, 1, 1, 4, 1, 4, 4, 2, 3, 3, 1, 1, 0, 2, 3, 0, 2, 3, 0, 0, 3, 2, 1, 3, 2] pubkeycol1077 = [2, 2, 0, 4, 1, 2, 0, 4, 0, 0, 3, 1, 3, 2, 2, 2, 3, 0, 2, 0, 0, 4, 1, 0, 1, 4, 0, 0, 0, 4, 1, 4, 1, 2, 2, 0, 0, 1, 4, 3, 4, 1, 0, 4, 0, 0, 4, 3, 3, 4, 2, 3, 3, 2, 0, 2, 3, 3, 0, 1, 4, 3, 1, 2, 3, 2, 1, 0, 4, 0, 0, 0, 3, 2, 1, 4, 0, 4, 3, 3, 2, 0, 0, 1, 2, 4, 0, 4, 2, 1, 4, 2, 2, 1, 4, 3, 0, 3, 1, 2, 4, 3, 1, 2, 3, 3, 2, 2, 3, 1, 1, 2, 2, 2, 4, 3, 4, 1, 3, 1, 0, 4, 1, 4, 1, 0, 2, 4, 2, 0, 4, 4, 2, 0, 4, 1, 2, 3, 2, 0, 2, 3, 1, 0, 0, 4, 4, 0, 4, 0, 3, 3, 3, 3, 4, 2, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 4, 2, 0, 0, 2, 3, 2, 4, 3, 1, 4, 1, 2, 3, 3, 4, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 4, 0, 2, 1, 4, 0, 2, 0, 0, 0, 3, 2, 2, 3, 2, 4, 0, 4, 3, 2, 2, 3, 1, 0, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 1, 1, 1, 0, 0, 3, 0, 0, 2, 3, 0, 1, 2, 1, 2, 4, 2, 4, 0, 2, 3, 3, 2, 1, 4, 1, 0, 1, 3, 4, 3, 1, 1, 3, 1, 3, 3, 4, 4, 3, 3, 1, 2, 0, 0, 4, 3, 1, 3, 1, 3, 0, 4, 3, 0, 1, 0, 1, 4, 3, 3, 3, 1, 3, 3, 0, 2, 1, 2, 3, 1, 3, 1, 3, 0, 2, 1, 3, 2, 0, 2, 1, 1, 3, 4, 2, 0, 1, 2, 1, 0, 1, 3, 2, 4, 0, 4, 3, 4, 4, 0, 2, 1, 0, 3, 2, 3, 4, 4, 4, 4, 4, 1, 0, 1, 0, 0, 3, 4, 2, 1, 4, 2, 2, 2, 1, 4, 2, 2, 3, 0, 3, 0, 4, 1, 2, 3, 2, 4, 2, 0, 4, 2, 2, 2, 3, 2, 4, 1, 1, 3, 0, 4, 0, 4, 4, 3, 0, 3, 3, 1, 4, 0, 0, 2, 0, 3, 0, 1, 3, 2] pubkeycol1078 = [3, 4, 3, 2, 2, 0, 3, 1, 1, 3, 2, 0, 1, 0, 1, 1, 3, 1, 4, 3, 3, 2, 0, 2, 1, 0, 1, 0, 2, 2, 4, 0, 0, 0, 4, 3, 2, 2, 3, 2, 3, 4, 2, 0, 4, 2, 1, 2, 2, 3, 4, 2, 0, 2, 1, 2, 4, 1, 3, 1, 2, 3, 0, 3, 0, 3, 3, 1, 0, 0, 0, 2, 3, 2, 2, 3, 1, 3, 2, 4, 2, 1, 4, 3, 2, 0, 4, 4, 2, 0, 3, 3, 3, 0, 1, 4, 0, 4, 2, 0, 1, 1, 4, 3, 4, 4, 3, 2, 1, 0, 2, 0, 4, 3, 3, 2, 2, 2, 2, 0, 4, 0, 1, 0, 0, 3, 1, 0, 1, 0, 3, 0, 4, 2, 2, 3, 4, 2, 2, 1, 2, 1, 0, 2, 4, 3, 1, 3, 3, 4, 3, 0, 3, 4, 1, 0, 1, 0, 4, 4, 0, 4, 2, 0, 2, 2, 3, 2, 4, 1, 3, 2, 3, 0, 3, 0, 4, 0, 0, 3, 4, 3, 1, 2, 0, 0, 0, 1, 3, 1, 4, 1, 2, 2, 4, 1, 3, 2, 4, 3, 0, 0, 4, 2, 1, 3, 4, 0, 2, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 2, 0, 3, 1, 4, 3, 4, 0, 2, 3, 2, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 2, 2, 3, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 4, 3, 0, 4, 1, 1, 2, 2, 1, 3, 4, 4, 0, 0, 1, 1, 1, 0, 4, 2, 2, 3, 3, 1, 4, 1, 1, 4, 3, 3, 3, 4, 4, 2, 1, 2, 2, 3, 3, 2, 2, 1, 1, 0, 4, 3, 4, 3, 0, 3, 3, 2, 1, 1, 3, 0, 4, 1, 3, 2, 2, 0, 1, 1, 4, 3, 3, 1, 4, 4, 1, 3, 4, 1, 0, 0, 0, 3, 2, 4, 4, 0, 4, 2, 4, 0, 1, 0, 3, 0, 0, 4, 4, 4, 0, 2, 2, 1, 3, 1, 2, 3, 1, 1, 3, 4, 3, 1, 1, 4, 4, 4, 4, 0, 1, 0, 4, 3, 4, 3, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 4, 0, 0, 4, 4, 1, 3, 1, 0, 2, 2, 3, 3, 3] pubkeycol1079 = [3, 1, 0, 4, 2, 2, 1, 4, 4, 1, 2, 3, 0, 1, 3, 3, 0, 2, 4, 4, 0, 2, 4, 1, 4, 3, 2, 4, 4, 2, 2, 3, 2, 3, 1, 0, 3, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 1, 0, 4, 2, 2, 4, 1, 1, 1, 0, 4, 0, 4, 3, 1, 3, 3, 0, 4, 4, 4, 4, 2, 4, 2, 3, 1, 1, 0, 2, 4, 4, 3, 3, 3, 2, 0, 0, 3, 2, 1, 0, 1, 0, 2, 3, 0, 1, 3, 3, 4, 4, 1, 2, 2, 0, 1, 2, 4, 3, 3, 3, 2, 4, 1, 0, 1, 4, 1, 1, 3, 4, 4, 2, 0, 0, 1, 2, 3, 2, 0, 2, 4, 3, 0, 0, 0, 2, 0, 2, 2, 0, 4, 4, 4, 3, 0, 4, 4, 3, 1, 3, 2, 1, 4, 1, 1, 2, 0, 2, 1, 4, 3, 4, 1, 4, 2, 0, 0, 1, 1, 3, 0, 3, 1, 1, 1, 3, 3, 2, 0, 3, 1, 0, 0, 3, 4, 0, 1, 0, 1, 4, 2, 0, 3, 2, 3, 0, 2, 4, 1, 0, 2, 3, 2, 2, 0, 0, 4, 2, 2, 1, 0, 3, 2, 4, 0, 1, 4, 2, 3, 2, 1, 3, 4, 4, 1, 4, 0, 4, 1, 3, 4, 4, 2, 3, 0, 1, 4, 4, 4, 2, 3, 2, 2, 4, 3, 0, 3, 1, 1, 3, 2, 1, 3, 3, 3, 0, 1, 4, 2, 2, 2, 0, 2, 0, 1, 1, 3, 3, 4, 1, 3, 2, 4, 1, 2, 3, 4, 2, 3, 0, 1, 3, 1, 2, 4, 0, 1, 1, 2, 3, 4, 2, 2, 0, 0, 4, 2, 1, 0, 2, 0, 3, 1, 0, 0, 2, 1, 1, 0, 3, 3, 0, 2, 3, 1, 1, 4, 0, 4, 0, 2, 2, 2, 3, 4, 1, 1, 3, 3, 4, 1, 0, 3, 0, 3, 0, 2, 2, 2, 0, 2, 4, 1, 4, 3, 1, 2, 2, 0, 2, 4, 1, 3, 3, 0, 1, 2, 3, 4, 0, 3, 1, 1, 1, 2, 2, 2, 4, 2, 1, 3, 2, 1, 0, 0, 0, 3, 0, 2, 0, 2, 4, 0, 2, 0, 3, 0, 1, 1, 3, 0, 1, 0, 4, 3, 3, 4] pubkeycol1080 = [0, 0, 4, 3, 3, 2, 4, 1, 4, 1, 2, 4, 2, 0, 4, 2, 4, 3, 3, 2, 3, 4, 0, 4, 2, 2, 1, 3, 2, 2, 0, 0, 4, 4, 0, 2, 1, 4, 0, 0, 1, 0, 3, 2, 2, 2, 2, 1, 4, 3, 4, 4, 3, 2, 0, 1, 3, 1, 2, 4, 4, 3, 0, 3, 4, 1, 2, 1, 3, 3, 1, 1, 2, 2, 0, 0, 3, 4, 3, 4, 0, 0, 1, 1, 4, 3, 0, 4, 0, 2, 3, 4, 1, 2, 2, 4, 3, 3, 3, 0, 2, 3, 4, 1, 4, 1, 4, 2, 3, 4, 0, 3, 2, 1, 3, 1, 1, 2, 2, 2, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 1, 3, 0, 0, 2, 4, 4, 2, 2, 3, 0, 3, 3, 4, 2, 3, 1, 2, 2, 3, 0, 0, 2, 0, 0, 4, 1, 0, 2, 2, 1, 3, 4, 4, 4, 3, 1, 3, 0, 3, 2, 1, 3, 3, 2, 0, 1, 3, 1, 2, 3, 2, 2, 1, 1, 1, 4, 4, 0, 0, 3, 3, 0, 2, 1, 3, 0, 1, 0, 0, 3, 4, 4, 4, 1, 3, 3, 3, 2, 0, 3, 1, 4, 0, 4, 4, 0, 0, 1, 4, 3, 4, 4, 1, 2, 2, 4, 3, 0, 0, 1, 0, 0, 2, 4, 3, 3, 4, 4, 4, 4, 1, 4, 1, 3, 2, 3, 2, 0, 2, 0, 3, 2, 4, 4, 2, 1, 4, 3, 3, 3, 2, 4, 2, 3, 4, 0, 0, 0, 3, 1, 3, 1, 2, 3, 1, 1, 1, 4, 0, 1, 3, 4, 0, 2, 1, 1, 2, 4, 2, 1, 1, 2, 0, 3, 3, 2, 4, 1, 3, 0, 0, 3, 2, 4, 1, 4, 4, 2, 4, 0, 4, 3, 0, 0, 1, 4, 2, 1, 0, 1, 3, 4, 0, 2, 2, 3, 1, 0, 2, 1, 3, 3, 2, 0, 3, 2, 0, 4, 3, 0, 4, 3, 1, 1, 1, 1, 1, 1, 2, 2, 0, 3, 3, 1, 0, 4, 4, 1, 1, 0, 0, 2, 0, 1, 3, 1, 2, 2, 2, 0, 3, 2, 2, 0, 1, 4, 0, 3, 3, 1, 3, 3, 1, 4, 0, 3, 2, 4, 0, 0, 2, 4, 1, 2, 2, 3, 0, 3] pubkeycol1081 = [3, 2, 4, 1, 4, 3, 1, 4, 2, 3, 1, 1, 4, 2, 1, 3, 1, 3, 4, 2, 3, 3, 3, 1, 0, 1, 0, 1, 1, 3, 4, 2, 2, 1, 2, 4, 0, 2, 4, 0, 2, 3, 1, 1, 1, 4, 4, 1, 0, 4, 1, 1, 2, 4, 1, 0, 0, 1, 2, 1, 4, 2, 4, 4, 3, 2, 3, 0, 4, 3, 2, 3, 1, 0, 0, 2, 2, 3, 2, 0, 1, 1, 3, 2, 3, 3, 3, 3, 3, 1, 0, 2, 1, 4, 0, 2, 4, 4, 4, 1, 4, 1, 2, 3, 0, 3, 2, 2, 1, 0, 3, 2, 1, 0, 3, 1, 0, 0, 4, 0, 0, 3, 3, 4, 4, 3, 2, 2, 3, 1, 0, 3, 1, 4, 2, 2, 2, 4, 2, 0, 3, 3, 3, 4, 0, 3, 0, 2, 4, 3, 0, 1, 3, 3, 3, 3, 0, 1, 2, 3, 3, 4, 1, 0, 1, 0, 1, 2, 3, 3, 0, 3, 1, 0, 2, 4, 3, 2, 3, 3, 0, 2, 1, 1, 3, 4, 2, 0, 2, 1, 0, 2, 3, 2, 4, 2, 0, 4, 0, 0, 2, 3, 1, 3, 1, 0, 1, 4, 1, 0, 4, 4, 4, 4, 1, 0, 1, 0, 3, 3, 2, 0, 1, 4, 2, 3, 2, 3, 3, 1, 0, 2, 3, 3, 1, 0, 1, 1, 0, 1, 3, 1, 2, 3, 4, 2, 0, 0, 2, 2, 4, 1, 2, 2, 4, 1, 3, 4, 3, 1, 1, 0, 4, 1, 0, 2, 2, 3, 0, 3, 0, 4, 3, 1, 3, 1, 0, 2, 2, 3, 4, 0, 0, 3, 2, 1, 4, 1, 2, 3, 4, 1, 0, 0, 3, 1, 2, 2, 1, 1, 2, 3, 0, 2, 1, 0, 4, 3, 2, 2, 3, 1, 0, 3, 1, 3, 4, 3, 1, 0, 3, 4, 2, 3, 3, 3, 0, 1, 3, 3, 2, 4, 1, 1, 0, 3, 0, 0, 3, 0, 1, 0, 4, 2, 3, 4, 4, 3, 2, 4, 2, 1, 0, 2, 4, 2, 1, 1, 2, 1, 4, 2, 1, 0, 4, 4, 3, 3, 2, 3, 4, 0, 4, 4, 1, 0, 1, 1, 2, 3, 0, 0, 1, 3, 1, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 2, 4, 0, 1] pubkeycol1082 = [2, 4, 2, 2, 0, 0, 3, 1, 3, 4, 4, 3, 1, 0, 1, 3, 0, 1, 3, 0, 0, 0, 3, 0, 4, 2, 2, 4, 3, 2, 1, 0, 0, 3, 2, 4, 1, 1, 3, 1, 3, 2, 1, 4, 0, 3, 1, 3, 4, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 3, 0, 1, 3, 4, 4, 2, 2, 4, 4, 4, 4, 4, 0, 2, 0, 1, 2, 4, 4, 0, 2, 2, 3, 3, 1, 4, 0, 3, 0, 0, 1, 0, 1, 1, 4, 0, 0, 3, 0, 1, 1, 4, 2, 1, 1, 0, 0, 0, 0, 3, 0, 0, 0, 4, 3, 1, 0, 3, 3, 2, 4, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 4, 3, 2, 0, 1, 0, 2, 4, 3, 4, 2, 4, 0, 2, 0, 3, 1, 4, 4, 4, 2, 0, 2, 3, 4, 3, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 0, 0, 4, 0, 2, 2, 4, 0, 0, 3, 0, 0, 3, 3, 0, 1, 2, 4, 3, 0, 2, 4, 3, 1, 4, 4, 0, 2, 4, 2, 1, 2, 0, 3, 0, 1, 0, 1, 0, 2, 3, 3, 3, 1, 1, 1, 4, 1, 3, 0, 0, 2, 1, 1, 4, 2, 3, 2, 3, 2, 0, 2, 1, 4, 4, 0, 1, 4, 1, 1, 4, 0, 2, 2, 0, 3, 1, 4, 1, 1, 1, 0, 2, 2, 2, 0, 3, 3, 2, 3, 2, 2, 2, 2, 0, 4, 1, 1, 0, 0, 3, 0, 0, 0, 3, 4, 0, 3, 0, 4, 2, 3, 2, 0, 0, 0, 1, 4, 1, 3, 0, 0, 2, 4, 1, 2, 0, 4, 3, 3, 4, 2, 0, 0, 2, 0, 3, 2, 4, 1, 2, 2, 1, 2, 4, 3, 3, 4, 0, 3, 2, 4, 1, 4, 3, 2, 3, 1, 3, 2, 0, 2, 1, 4, 4, 0, 4, 4, 2, 0, 4, 4, 3, 4, 1, 0, 0, 1, 2, 4, 1, 2, 0, 0, 0, 2, 3, 0, 0, 4, 2, 0, 4, 4, 3, 1, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 1, 4, 0, 4, 1, 3, 2, 0, 3, 2, 0, 0, 4, 2, 1, 3, 3, 2, 1, 2, 1, 2, 4, 4, 4, 3] pubkeycol1083 = [1, 0, 2, 1, 2, 0, 3, 0, 3, 4, 4, 3, 4, 2, 3, 0, 2, 1, 1, 1, 4, 0, 1, 4, 2, 3, 3, 0, 4, 0, 4, 4, 1, 3, 4, 4, 0, 0, 0, 1, 3, 3, 3, 2, 0, 4, 4, 3, 1, 0, 4, 0, 2, 4, 2, 0, 1, 2, 4, 1, 0, 1, 3, 0, 3, 2, 2, 4, 3, 4, 1, 2, 3, 4, 0, 4, 0, 3, 2, 1, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 4, 1, 2, 0, 1, 3, 2, 3, 3, 2, 2, 1, 2, 4, 3, 0, 2, 2, 1, 3, 0, 1, 3, 4, 1, 3, 4, 2, 2, 3, 0, 0, 1, 0, 4, 3, 3, 2, 3, 0, 0, 0, 4, 3, 4, 4, 1, 4, 2, 2, 0, 2, 2, 4, 3, 0, 0, 1, 0, 0, 3, 4, 0, 2, 4, 4, 4, 2, 2, 1, 1, 3, 3, 3, 0, 1, 4, 4, 1, 2, 1, 4, 4, 2, 4, 0, 2, 2, 3, 4, 0, 2, 3, 1, 4, 1, 4, 0, 4, 1, 1, 0, 2, 0, 4, 4, 3, 3, 0, 4, 4, 3, 3, 4, 2, 2, 0, 3, 4, 1, 3, 3, 3, 2, 2, 2, 0, 4, 1, 3, 3, 2, 2, 3, 1, 2, 2, 4, 0, 0, 4, 2, 1, 1, 1, 4, 2, 2, 4, 3, 2, 0, 0, 4, 0, 2, 2, 0, 0, 0, 4, 0, 4, 3, 2, 2, 0, 4, 0, 2, 3, 1, 4, 3, 0, 4, 4, 3, 1, 1, 2, 0, 3, 3, 3, 3, 3, 2, 1, 1, 2, 4, 4, 3, 0, 4, 2, 1, 3, 4, 0, 3, 4, 0, 1, 2, 3, 3, 3, 3, 0, 1, 2, 2, 4, 2, 2, 2, 0, 4, 0, 1, 1, 4, 1, 2, 4, 0, 2, 0, 2, 2, 4, 1, 2, 4, 1, 3, 2, 3, 3, 2, 4, 0, 1, 0, 1, 3, 0, 3, 0, 4, 3, 0, 0, 4, 0, 3, 3, 2, 3, 1, 1, 2, 0, 2, 4, 2, 4, 1, 1, 3, 4, 1, 1, 3, 4, 4, 2, 2, 2, 1, 1, 4, 2, 1, 1, 1, 2, 0, 4, 1, 1, 0, 2, 3, 1, 0, 1, 3, 2, 0, 4, 4, 3, 4, 3, 0, 0, 2] pubkeycol1084 = [1, 1, 3, 0, 0, 3, 1, 2, 4, 3, 3, 3, 4, 3, 3, 2, 1, 2, 0, 3, 1, 0, 0, 4, 2, 1, 4, 0, 2, 0, 2, 1, 3, 2, 2, 3, 0, 2, 2, 2, 0, 1, 3, 3, 4, 3, 0, 0, 1, 4, 1, 3, 1, 1, 1, 3, 1, 0, 0, 2, 3, 3, 3, 4, 2, 1, 1, 2, 0, 0, 2, 3, 1, 4, 0, 4, 0, 4, 4, 0, 4, 4, 3, 1, 3, 3, 0, 4, 0, 3, 2, 3, 3, 4, 4, 3, 1, 4, 4, 3, 0, 0, 4, 3, 3, 4, 4, 0, 1, 1, 1, 4, 3, 4, 2, 3, 4, 4, 2, 4, 2, 1, 2, 1, 3, 3, 2, 0, 4, 0, 4, 4, 2, 0, 2, 2, 3, 2, 4, 0, 3, 1, 4, 1, 0, 0, 4, 0, 1, 0, 4, 2, 4, 2, 1, 1, 2, 4, 0, 4, 3, 0, 0, 0, 1, 0, 1, 2, 4, 2, 0, 4, 3, 4, 3, 2, 3, 1, 4, 1, 3, 3, 3, 1, 4, 0, 3, 2, 1, 3, 1, 1, 1, 0, 1, 4, 1, 2, 4, 0, 2, 1, 2, 2, 2, 3, 4, 1, 2, 3, 1, 0, 3, 2, 3, 4, 0, 2, 4, 2, 2, 2, 1, 2, 3, 0, 4, 4, 3, 1, 0, 4, 2, 1, 0, 0, 4, 1, 3, 4, 0, 3, 1, 0, 0, 4, 1, 4, 2, 3, 2, 4, 2, 1, 0, 3, 1, 3, 2, 2, 3, 0, 2, 4, 2, 3, 0, 4, 0, 3, 2, 2, 4, 3, 3, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 4, 1, 2, 4, 4, 0, 1, 3, 4, 4, 3, 2, 4, 1, 1, 3, 2, 4, 3, 4, 0, 0, 4, 2, 1, 3, 2, 1, 2, 3, 1, 1, 3, 1, 1, 2, 4, 3, 4, 4, 1, 0, 1, 3, 4, 3, 1, 1, 4, 2, 3, 1, 0, 2, 4, 1, 1, 4, 2, 0, 0, 0, 2, 4, 4, 1, 0, 4, 4, 3, 0, 3, 0, 3, 4, 1, 3, 3, 1, 3, 4, 1, 4, 4, 0, 0, 2, 1, 3, 3, 2, 2, 2, 0, 0, 1, 1, 3, 1, 1, 1, 3, 2, 2, 1, 4, 3, 4, 1, 0, 3, 3, 2, 0, 2] pubkeycol1085 = [2, 2, 4, 1, 0, 2, 0, 0, 0, 4, 1, 1, 1, 1, 4, 3, 2, 1, 2, 3, 0, 4, 1, 0, 2, 4, 3, 1, 3, 1, 0, 4, 4, 2, 2, 3, 4, 4, 1, 4, 0, 3, 2, 3, 1, 4, 0, 1, 4, 3, 4, 1, 3, 4, 4, 4, 1, 2, 4, 4, 3, 3, 0, 1, 0, 4, 3, 2, 2, 4, 3, 1, 2, 2, 4, 2, 4, 0, 0, 2, 4, 0, 0, 2, 2, 4, 0, 4, 0, 2, 4, 2, 2, 1, 0, 3, 4, 0, 0, 1, 2, 2, 1, 2, 4, 2, 3, 0, 4, 3, 0, 1, 1, 3, 1, 0, 1, 4, 3, 1, 2, 1, 0, 2, 3, 4, 0, 0, 2, 4, 4, 4, 3, 0, 0, 2, 3, 1, 4, 2, 2, 0, 1, 1, 0, 0, 4, 1, 3, 2, 2, 2, 0, 0, 3, 3, 3, 3, 1, 2, 0, 4, 2, 4, 4, 3, 2, 0, 0, 4, 2, 4, 1, 1, 2, 1, 4, 0, 2, 4, 3, 2, 4, 2, 4, 4, 4, 2, 4, 4, 0, 4, 4, 3, 4, 0, 4, 2, 1, 1, 4, 3, 4, 0, 0, 0, 2, 1, 3, 0, 0, 3, 0, 4, 3, 2, 3, 4, 1, 0, 1, 3, 3, 0, 4, 3, 4, 2, 2, 2, 3, 2, 0, 1, 1, 4, 1, 3, 4, 3, 2, 2, 1, 4, 0, 0, 2, 1, 3, 1, 1, 3, 4, 2, 2, 2, 0, 1, 1, 4, 3, 4, 1, 0, 0, 4, 1, 1, 1, 1, 3, 3, 4, 1, 3, 3, 2, 4, 2, 3, 1, 3, 4, 3, 4, 3, 0, 4, 3, 2, 4, 1, 1, 0, 2, 2, 4, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 4, 2, 0, 3, 0, 0, 1, 2, 1, 1, 1, 0, 3, 0, 1, 3, 4, 1, 1, 1, 0, 4, 3, 2, 1, 0, 4, 4, 1, 2, 0, 0, 4, 3, 3, 1, 0, 1, 2, 2, 0, 4, 2, 4, 0, 4, 0, 4, 3, 2, 2, 4, 2, 0, 0, 0, 1, 1, 3, 3, 4, 4, 4, 0, 3, 0, 0, 4, 2, 0, 3, 1, 0, 0, 3, 2, 1, 0, 2, 2, 1, 2, 1, 4, 4, 1, 2, 3, 2, 1, 0, 1] pubkeycol1086 = [0, 0, 0, 2, 3, 0, 4, 1, 4, 3, 2, 3, 0, 0, 3, 2, 2, 2, 4, 2, 3, 2, 2, 0, 1, 2, 1, 4, 3, 1, 2, 1, 2, 4, 4, 0, 2, 3, 0, 3, 2, 0, 2, 1, 0, 2, 3, 1, 4, 2, 4, 0, 2, 2, 0, 1, 4, 3, 3, 4, 1, 3, 2, 2, 3, 4, 2, 3, 3, 2, 3, 2, 0, 3, 0, 2, 2, 1, 1, 2, 0, 2, 4, 2, 3, 4, 4, 4, 4, 3, 0, 2, 1, 2, 1, 3, 2, 1, 1, 3, 1, 4, 1, 4, 3, 4, 0, 3, 2, 1, 4, 3, 4, 0, 4, 2, 3, 4, 1, 1, 0, 1, 4, 2, 4, 1, 2, 3, 2, 4, 1, 4, 1, 4, 4, 3, 4, 4, 2, 3, 2, 1, 4, 2, 3, 1, 1, 0, 1, 4, 3, 4, 2, 0, 3, 1, 4, 3, 2, 1, 1, 4, 1, 3, 1, 2, 4, 1, 0, 2, 1, 4, 3, 2, 4, 3, 2, 4, 0, 4, 0, 2, 4, 0, 2, 4, 0, 4, 2, 0, 0, 2, 1, 4, 3, 2, 3, 3, 0, 0, 0, 3, 4, 2, 4, 0, 0, 4, 0, 0, 4, 0, 1, 4, 2, 1, 0, 0, 0, 3, 3, 1, 4, 3, 0, 0, 1, 1, 2, 4, 0, 1, 2, 4, 3, 2, 0, 0, 3, 1, 2, 0, 3, 1, 2, 0, 1, 3, 0, 3, 1, 4, 1, 3, 2, 1, 2, 0, 2, 2, 2, 3, 3, 4, 3, 0, 3, 1, 0, 4, 3, 2, 2, 0, 3, 3, 0, 4, 2, 4, 4, 4, 1, 3, 0, 3, 1, 4, 1, 3, 1, 2, 1, 4, 2, 2, 3, 2, 3, 1, 4, 4, 0, 4, 1, 0, 0, 2, 2, 0, 3, 1, 2, 3, 3, 2, 4, 2, 4, 2, 1, 3, 2, 1, 0, 4, 1, 4, 1, 1, 2, 4, 3, 1, 1, 3, 0, 0, 1, 1, 2, 2, 1, 1, 3, 1, 0, 3, 2, 1, 3, 2, 4, 2, 1, 1, 1, 1, 1, 0, 4, 3, 0, 1, 2, 1, 4, 2, 2, 4, 0, 1, 2, 1, 0, 4, 0, 0, 3, 2, 2, 0, 4, 3, 2, 4, 1, 2, 2, 1, 2, 4, 1, 3, 4, 1, 2, 1, 0, 0] pubkeycol1087 = [0, 1, 4, 3, 1, 1, 1, 0, 3, 2, 4, 2, 0, 0, 3, 2, 0, 3, 3, 4, 2, 4, 0, 0, 1, 0, 4, 1, 2, 4, 3, 3, 3, 1, 0, 1, 0, 1, 4, 1, 2, 4, 0, 0, 2, 0, 0, 0, 3, 0, 2, 2, 4, 4, 0, 1, 1, 1, 2, 4, 1, 2, 0, 2, 2, 1, 3, 3, 1, 0, 3, 0, 2, 4, 2, 3, 3, 0, 1, 2, 4, 3, 3, 4, 1, 2, 1, 0, 4, 0, 4, 4, 0, 4, 1, 0, 3, 1, 0, 3, 4, 0, 0, 4, 2, 2, 2, 4, 2, 3, 1, 2, 1, 2, 4, 4, 4, 0, 2, 1, 1, 3, 0, 3, 4, 3, 4, 4, 2, 4, 3, 3, 1, 2, 2, 0, 2, 1, 3, 2, 4, 3, 1, 1, 0, 4, 4, 2, 4, 3, 4, 4, 0, 3, 0, 2, 1, 3, 0, 2, 3, 0, 4, 0, 4, 2, 0, 0, 0, 2, 1, 0, 4, 2, 2, 1, 0, 0, 0, 0, 2, 1, 3, 4, 3, 4, 4, 3, 1, 2, 1, 1, 0, 2, 4, 0, 4, 2, 0, 1, 1, 4, 4, 3, 3, 0, 1, 2, 2, 2, 4, 2, 3, 0, 0, 4, 3, 2, 1, 1, 0, 1, 1, 4, 3, 4, 2, 4, 2, 3, 3, 1, 3, 3, 0, 1, 4, 0, 0, 3, 0, 1, 1, 3, 3, 0, 1, 4, 0, 1, 4, 0, 1, 4, 1, 2, 4, 0, 3, 2, 0, 1, 1, 4, 4, 4, 2, 0, 4, 3, 3, 1, 1, 4, 2, 3, 3, 1, 4, 4, 3, 4, 4, 3, 2, 2, 0, 0, 4, 0, 4, 1, 2, 3, 3, 1, 2, 3, 4, 2, 1, 2, 3, 3, 4, 3, 3, 1, 1, 4, 2, 0, 4, 4, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 3, 4, 4, 2, 2, 3, 4, 1, 3, 1, 0, 1, 2, 3, 4, 2, 1, 0, 3, 2, 0, 3, 3, 2, 3, 2, 0, 4, 3, 0, 1, 2, 3, 4, 2, 2, 1, 0, 0, 2, 0, 3, 2, 1, 2, 4, 4, 4, 2, 1, 2, 3, 0, 0, 2, 4, 0, 4, 4, 3, 3, 1, 1, 1, 4, 2, 4, 3, 2, 4, 0, 4, 1, 3, 4, 1] pubkeycol1088 = [3, 1, 3, 2, 4, 4, 0, 1, 2, 3, 2, 3, 0, 4, 2, 3, 1, 3, 3, 4, 3, 1, 3, 0, 4, 3, 0, 4, 0, 2, 4, 0, 2, 3, 0, 2, 4, 0, 1, 0, 0, 0, 2, 3, 4, 0, 1, 0, 1, 1, 3, 0, 4, 0, 4, 2, 0, 0, 3, 4, 3, 1, 0, 4, 1, 2, 4, 0, 3, 2, 0, 3, 4, 0, 0, 3, 4, 1, 3, 4, 3, 0, 2, 3, 2, 0, 3, 0, 1, 4, 2, 3, 1, 0, 4, 0, 3, 0, 2, 1, 4, 4, 1, 1, 1, 2, 4, 3, 1, 0, 4, 0, 3, 1, 4, 2, 0, 0, 1, 3, 1, 3, 2, 1, 3, 0, 4, 2, 2, 4, 3, 3, 4, 2, 2, 3, 4, 1, 1, 0, 3, 4, 1, 2, 1, 4, 2, 0, 1, 2, 0, 1, 0, 1, 3, 0, 0, 4, 4, 0, 0, 4, 0, 2, 3, 2, 1, 3, 4, 0, 1, 4, 0, 0, 2, 4, 1, 3, 1, 2, 3, 4, 2, 3, 2, 2, 4, 1, 1, 4, 3, 1, 0, 3, 0, 4, 1, 0, 1, 1, 1, 2, 4, 3, 3, 0, 1, 4, 3, 4, 1, 3, 2, 2, 2, 1, 1, 1, 4, 2, 2, 0, 4, 0, 0, 3, 1, 1, 4, 0, 4, 4, 1, 4, 2, 1, 1, 3, 1, 2, 2, 2, 0, 1, 0, 4, 1, 4, 1, 0, 1, 3, 0, 4, 2, 3, 2, 0, 4, 2, 1, 2, 2, 3, 0, 1, 2, 2, 3, 2, 2, 2, 3, 0, 0, 3, 0, 0, 2, 4, 1, 2, 1, 0, 1, 0, 4, 4, 3, 2, 4, 0, 1, 2, 1, 0, 3, 2, 3, 1, 3, 3, 1, 0, 2, 0, 4, 3, 3, 4, 0, 4, 2, 1, 3, 4, 2, 2, 2, 4, 1, 4, 0, 2, 3, 4, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 2, 0, 3, 3, 2, 3, 0, 1, 3, 4, 1, 0, 3, 3, 2, 3, 1, 3, 1, 3, 1, 1, 2, 3, 1, 0, 4, 0, 2, 2, 2, 1, 1, 2, 3, 2, 2, 0, 3, 4, 3, 3, 2, 4, 4, 0, 4, 2, 4, 4, 1, 4, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol1089 = [1, 2, 0, 2, 1, 2, 4, 4, 3, 1, 4, 2, 1, 2, 0, 3, 4, 3, 3, 2, 0, 1, 1, 0, 3, 3, 0, 3, 1, 2, 0, 0, 2, 2, 2, 3, 2, 4, 4, 0, 0, 3, 1, 0, 2, 2, 0, 1, 0, 2, 3, 4, 2, 1, 1, 2, 4, 1, 0, 1, 4, 2, 1, 2, 4, 0, 4, 0, 1, 1, 3, 2, 3, 0, 3, 3, 3, 0, 0, 3, 2, 4, 2, 1, 0, 2, 0, 2, 3, 4, 0, 2, 1, 1, 1, 4, 0, 3, 4, 0, 2, 1, 3, 2, 0, 1, 1, 3, 4, 3, 1, 3, 3, 3, 4, 4, 0, 1, 4, 0, 1, 0, 2, 1, 4, 1, 0, 1, 1, 3, 0, 0, 0, 0, 2, 0, 4, 2, 2, 3, 2, 4, 4, 2, 1, 4, 3, 4, 0, 2, 2, 1, 1, 3, 2, 1, 3, 2, 1, 2, 2, 2, 1, 2, 4, 0, 2, 2, 2, 2, 4, 0, 3, 1, 1, 3, 1, 3, 0, 0, 1, 4, 3, 0, 0, 1, 3, 3, 3, 2, 2, 4, 2, 3, 1, 4, 2, 0, 3, 2, 2, 3, 4, 2, 3, 3, 2, 2, 4, 1, 4, 4, 3, 2, 0, 2, 2, 3, 4, 3, 2, 4, 2, 3, 1, 3, 4, 1, 0, 1, 1, 0, 1, 4, 1, 1, 4, 3, 2, 3, 0, 3, 3, 3, 2, 4, 3, 4, 1, 2, 0, 2, 0, 2, 3, 4, 3, 0, 4, 3, 1, 4, 4, 1, 4, 4, 2, 0, 3, 4, 1, 4, 4, 2, 1, 0, 0, 2, 0, 3, 2, 1, 1, 4, 1, 4, 2, 2, 1, 1, 0, 3, 0, 1, 3, 2, 2, 2, 2, 4, 0, 1, 2, 4, 2, 0, 4, 0, 4, 0, 1, 1, 3, 3, 4, 3, 0, 2, 2, 3, 2, 2, 2, 2, 4, 1, 4, 3, 3, 3, 3, 4, 4, 4, 0, 4, 4, 3, 2, 2, 0, 0, 4, 2, 0, 4, 3, 2, 4, 0, 2, 1, 3, 0, 4, 3, 4, 2, 2, 4, 3, 3, 4, 0, 0, 2, 1, 3, 0, 4, 4, 3, 2, 3, 2, 0, 2, 4, 1, 1, 4, 1, 4, 3, 1, 1, 0, 4, 0, 2, 0, 0, 1, 0, 2, 3, 3, 4, 1, 1] pubkeycol1090 = [4, 3, 0, 3, 1, 4, 3, 0, 4, 3, 3, 2, 2, 0, 4, 2, 3, 2, 3, 2, 0, 0, 3, 1, 1, 0, 3, 3, 4, 2, 0, 2, 4, 2, 1, 0, 1, 3, 2, 3, 4, 2, 0, 4, 2, 4, 3, 1, 2, 3, 1, 0, 4, 2, 3, 4, 0, 1, 1, 1, 3, 4, 2, 1, 0, 3, 2, 3, 0, 1, 4, 0, 0, 3, 0, 0, 1, 4, 0, 3, 3, 2, 0, 2, 1, 4, 2, 2, 1, 1, 0, 4, 0, 2, 2, 0, 0, 4, 1, 4, 2, 0, 4, 0, 0, 3, 2, 4, 2, 3, 4, 0, 0, 4, 4, 4, 1, 3, 1, 4, 3, 2, 4, 2, 3, 2, 1, 1, 4, 2, 1, 4, 4, 1, 4, 3, 0, 4, 0, 4, 2, 1, 0, 1, 4, 1, 0, 3, 2, 1, 0, 1, 0, 0, 2, 4, 1, 1, 4, 1, 2, 0, 1, 3, 2, 1, 1, 0, 3, 4, 1, 1, 1, 4, 2, 0, 3, 3, 1, 0, 0, 3, 3, 3, 3, 1, 3, 2, 2, 4, 0, 1, 1, 1, 0, 4, 0, 4, 4, 4, 1, 4, 2, 1, 3, 1, 2, 0, 3, 1, 4, 4, 0, 2, 1, 4, 0, 4, 0, 1, 4, 4, 1, 3, 1, 4, 4, 1, 2, 3, 4, 2, 0, 1, 0, 3, 1, 2, 0, 2, 4, 1, 2, 2, 4, 2, 0, 4, 4, 4, 4, 4, 1, 1, 3, 2, 3, 4, 3, 3, 0, 1, 2, 0, 3, 2, 3, 3, 1, 2, 2, 1, 3, 1, 3, 1, 3, 4, 2, 4, 1, 4, 1, 4, 1, 2, 2, 4, 2, 0, 2, 0, 4, 0, 2, 2, 0, 3, 2, 4, 0, 1, 4, 4, 3, 1, 0, 4, 2, 4, 0, 1, 2, 0, 4, 4, 4, 2, 1, 1, 4, 2, 4, 3, 4, 4, 3, 4, 2, 4, 4, 3, 3, 3, 1, 2, 4, 0, 0, 2, 4, 0, 2, 2, 1, 4, 2, 4, 3, 4, 0, 0, 3, 0, 0, 3, 1, 0, 4, 4, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 0, 1, 4, 1, 4, 0, 1, 1, 0, 2, 0, 3, 1, 1, 1, 3, 1, 1, 1, 2, 4, 3, 1, 3, 2, 0, 4, 2, 3, 1] pubkeycol1091 = [0, 0, 0, 4, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 3, 3, 0, 4, 4, 1, 2, 1, 3, 4, 0, 1, 4, 2, 4, 1, 1, 2, 4, 1, 4, 2, 0, 3, 2, 4, 2, 1, 0, 2, 2, 4, 2, 2, 2, 4, 4, 3, 1, 2, 3, 3, 0, 4, 0, 0, 4, 1, 2, 2, 1, 3, 1, 2, 4, 1, 4, 2, 4, 0, 2, 4, 0, 1, 1, 2, 3, 1, 0, 3, 2, 2, 3, 0, 2, 2, 0, 3, 1, 3, 3, 4, 1, 1, 1, 2, 3, 4, 2, 3, 2, 1, 2, 2, 1, 0, 0, 0, 4, 0, 4, 4, 1, 4, 3, 2, 4, 1, 3, 4, 4, 1, 0, 1, 0, 1, 4, 0, 1, 0, 0, 1, 2, 1, 3, 3, 1, 0, 2, 1, 1, 4, 2, 3, 4, 2, 2, 3, 3, 1, 3, 0, 1, 3, 3, 3, 4, 2, 0, 4, 4, 1, 4, 2, 2, 1, 0, 4, 1, 2, 2, 1, 1, 0, 3, 0, 4, 2, 2, 3, 4, 1, 1, 0, 4, 0, 1, 2, 4, 1, 2, 1, 4, 0, 2, 2, 1, 2, 0, 0, 1, 4, 0, 1, 0, 0, 2, 0, 1, 4, 2, 1, 1, 2, 3, 3, 3, 4, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 3, 3, 3, 4, 4, 2, 0, 3, 1, 1, 1, 0, 0, 4, 2, 0, 0, 0, 4, 2, 2, 2, 3, 2, 2, 2, 4, 4, 3, 3, 2, 4, 3, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 4, 3, 4, 2, 2, 3, 2, 2, 3, 2, 1, 0, 4, 3, 0, 0, 1, 2, 4, 3, 2, 3, 0, 1, 1, 1, 3, 4, 1, 2, 3, 1, 2, 1, 3, 1, 4, 0, 3, 3, 4, 2, 0, 2, 2, 4, 2, 2, 2, 1, 0, 1, 4, 1, 0, 0, 1, 4, 0, 1, 2, 0, 2, 3, 4, 1, 3, 1, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 4, 2, 4, 3, 0, 0, 4, 4, 3, 1, 1, 3, 2, 2, 4, 4, 2, 2, 3, 4, 2, 1, 1, 3, 1, 0, 0, 1, 1, 4, 1, 3, 4, 1, 0, 1, 4, 0, 0, 1, 2] pubkeycol1092 = [4, 4, 4, 3, 4, 4, 1, 3, 2, 2, 0, 3, 2, 3, 0, 0, 2, 0, 0, 3, 3, 0, 2, 3, 4, 1, 4, 3, 1, 3, 0, 3, 2, 0, 0, 2, 2, 0, 3, 2, 4, 4, 4, 1, 1, 0, 1, 2, 3, 3, 1, 3, 3, 2, 3, 4, 2, 3, 3, 3, 0, 2, 0, 2, 4, 1, 2, 3, 3, 0, 4, 4, 2, 2, 3, 3, 0, 0, 1, 2, 2, 3, 0, 3, 1, 4, 4, 1, 2, 4, 0, 4, 1, 1, 3, 0, 4, 1, 1, 1, 4, 0, 3, 1, 4, 0, 3, 0, 1, 2, 4, 1, 0, 0, 4, 4, 1, 4, 0, 0, 1, 3, 4, 4, 1, 0, 3, 2, 2, 4, 0, 1, 1, 3, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 4, 1, 3, 0, 0, 1, 2, 2, 1, 2, 3, 1, 4, 1, 1, 3, 3, 0, 3, 2, 2, 4, 2, 0, 4, 2, 1, 2, 1, 0, 4, 3, 3, 2, 1, 2, 2, 2, 3, 2, 4, 4, 1, 0, 3, 1, 4, 1, 3, 3, 3, 0, 3, 2, 2, 3, 4, 2, 2, 3, 1, 4, 3, 2, 1, 2, 0, 1, 3, 0, 4, 0, 1, 4, 1, 4, 4, 4, 0, 2, 0, 2, 2, 4, 0, 0, 3, 3, 3, 1, 3, 0, 3, 1, 4, 2, 1, 0, 3, 0, 3, 3, 2, 4, 1, 0, 2, 2, 0, 3, 2, 1, 4, 3, 2, 2, 0, 1, 0, 4, 4, 3, 3, 3, 0, 1, 1, 0, 4, 3, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 4, 4, 1, 2, 2, 3, 3, 2, 3, 3, 3, 3, 0, 0, 1, 2, 0, 0, 2, 0, 4, 4, 0, 0, 3, 1, 1, 2, 0, 2, 1, 3, 1, 2, 3, 3, 4, 1, 3, 0, 2, 1, 4, 3, 0, 3, 4, 0, 0, 4, 1, 2, 0, 0, 0, 4, 2, 0, 1, 2, 2, 2, 0, 4, 1, 3, 1, 1, 1, 1, 3, 1, 4, 1, 3, 2, 3, 1, 1, 3, 1, 0, 0, 4, 3, 1, 3, 4, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 0, 2, 2, 2, 0, 0, 2, 2, 3] pubkeycol1093 = [3, 2, 1, 3, 4, 2, 1, 1, 2, 4, 1, 2, 1, 4, 3, 1, 2, 3, 3, 4, 0, 1, 2, 0, 2, 4, 1, 0, 0, 4, 0, 4, 2, 0, 0, 0, 4, 2, 1, 0, 4, 2, 1, 3, 4, 3, 2, 0, 4, 1, 1, 2, 1, 4, 1, 2, 3, 3, 2, 3, 4, 0, 3, 0, 4, 1, 3, 1, 2, 1, 0, 3, 1, 2, 4, 1, 3, 0, 4, 0, 1, 1, 2, 4, 1, 3, 3, 1, 1, 0, 3, 2, 2, 3, 4, 2, 3, 0, 2, 3, 3, 3, 0, 4, 4, 1, 2, 4, 1, 2, 3, 1, 3, 4, 0, 1, 1, 2, 2, 3, 4, 1, 0, 4, 2, 0, 2, 4, 2, 0, 3, 2, 3, 4, 0, 4, 4, 3, 0, 0, 1, 3, 3, 1, 1, 1, 0, 0, 3, 2, 1, 0, 2, 1, 0, 4, 2, 2, 4, 2, 3, 0, 1, 1, 1, 2, 1, 1, 0, 1, 3, 3, 1, 2, 2, 4, 4, 2, 2, 3, 2, 0, 4, 3, 2, 3, 2, 1, 2, 2, 4, 2, 2, 3, 4, 1, 2, 0, 0, 1, 0, 4, 3, 0, 0, 3, 3, 0, 4, 3, 3, 2, 0, 1, 0, 1, 1, 2, 4, 2, 2, 3, 2, 2, 4, 2, 0, 2, 2, 3, 4, 2, 1, 4, 4, 4, 4, 2, 3, 0, 4, 3, 2, 3, 2, 2, 0, 2, 3, 1, 0, 3, 4, 0, 1, 4, 3, 1, 1, 4, 3, 4, 1, 1, 0, 2, 2, 4, 2, 3, 1, 0, 4, 4, 0, 2, 4, 0, 4, 2, 3, 2, 2, 1, 0, 4, 2, 2, 0, 4, 1, 4, 2, 2, 3, 4, 0, 3, 4, 1, 1, 1, 1, 0, 4, 3, 4, 4, 2, 3, 1, 4, 3, 4, 0, 2, 1, 4, 0, 1, 3, 3, 3, 3, 4, 2, 3, 2, 1, 4, 3, 4, 2, 2, 4, 4, 3, 0, 3, 1, 4, 0, 0, 0, 2, 4, 2, 0, 3, 2, 4, 4, 3, 0, 0, 2, 3, 4, 4, 1, 4, 0, 2, 0, 2, 4, 2, 4, 1, 3, 1, 2, 1, 4, 0, 2, 4, 1, 0, 2, 1, 0, 2, 4, 3, 3, 2, 1, 4, 0, 1, 2, 4, 2, 4, 0, 2, 3, 4, 1] pubkeycol1094 = [2, 2, 1, 1, 2, 4, 2, 0, 4, 1, 4, 4, 2, 2, 1, 2, 1, 0, 3, 4, 0, 2, 3, 1, 4, 2, 3, 0, 3, 0, 0, 2, 4, 1, 2, 0, 1, 1, 2, 1, 0, 1, 3, 0, 0, 0, 4, 4, 1, 3, 0, 0, 0, 4, 2, 3, 0, 1, 4, 4, 2, 3, 4, 2, 2, 4, 0, 1, 2, 0, 2, 1, 0, 4, 3, 2, 1, 1, 1, 4, 0, 0, 1, 0, 4, 0, 4, 4, 4, 1, 4, 0, 3, 3, 2, 4, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 0, 4, 0, 0, 3, 0, 2, 4, 2, 4, 0, 0, 4, 0, 1, 1, 3, 1, 3, 0, 1, 2, 0, 2, 3, 0, 3, 2, 2, 2, 0, 0, 0, 4, 1, 3, 1, 2, 0, 0, 3, 1, 3, 1, 4, 1, 1, 2, 3, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 3, 4, 4, 0, 1, 0, 0, 0, 1, 0, 0, 2, 4, 2, 4, 0, 2, 3, 0, 3, 2, 2, 3, 3, 3, 1, 2, 3, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 4, 3, 2, 1, 1, 3, 4, 0, 3, 3, 1, 0, 1, 0, 1, 2, 4, 2, 0, 2, 3, 2, 0, 0, 1, 1, 0, 2, 0, 3, 2, 1, 0, 3, 1, 1, 2, 2, 2, 0, 1, 3, 1, 0, 1, 1, 2, 4, 4, 1, 1, 3, 4, 3, 1, 4, 2, 3, 2, 1, 0, 2, 4, 4, 3, 4, 1, 0, 3, 3, 3, 3, 0, 1, 3, 3, 0, 2, 3, 2, 4, 0, 2, 3, 2, 2, 4, 4, 0, 4, 0, 2, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 3, 3, 4, 3, 1, 0, 2, 1, 3, 3, 4, 4, 1, 0, 3, 0, 2, 2, 0, 0, 2, 3, 0, 1, 2, 3, 4, 3, 0, 4, 4, 4, 4, 4, 1, 0, 1, 3, 1, 0, 2, 1, 2, 0, 2, 3, 3, 0, 3, 1, 2, 3, 4, 2, 0, 3, 1, 1, 0, 0, 3, 0, 4, 0, 3, 3, 4, 3, 1, 0, 3, 3, 1, 4, 2, 0, 1, 1, 1, 1, 3, 1, 4, 0, 0, 1, 4, 0, 4, 3, 1] pubkeycol1095 = [1, 3, 3, 0, 1, 4, 2, 3, 1, 0, 4, 3, 0, 1, 3, 2, 0, 3, 3, 4, 0, 2, 1, 4, 2, 3, 0, 3, 1, 0, 3, 2, 4, 1, 0, 2, 2, 1, 0, 3, 0, 0, 2, 4, 4, 0, 0, 2, 4, 2, 3, 3, 2, 3, 3, 0, 3, 3, 1, 1, 4, 0, 4, 2, 3, 1, 1, 0, 3, 0, 4, 4, 3, 3, 3, 3, 3, 1, 1, 3, 2, 4, 0, 3, 0, 1, 4, 3, 2, 0, 3, 1, 2, 0, 1, 1, 2, 2, 4, 4, 4, 1, 3, 3, 2, 1, 0, 2, 1, 4, 3, 3, 1, 3, 2, 4, 1, 4, 4, 2, 1, 2, 1, 3, 0, 2, 0, 4, 4, 4, 2, 2, 0, 4, 0, 3, 4, 0, 4, 4, 3, 1, 2, 4, 3, 3, 1, 2, 4, 2, 0, 4, 3, 0, 2, 1, 4, 3, 2, 4, 3, 0, 0, 2, 2, 1, 1, 1, 3, 0, 2, 0, 1, 0, 3, 4, 0, 1, 4, 1, 3, 0, 0, 2, 3, 2, 2, 3, 2, 1, 2, 2, 2, 4, 0, 2, 4, 0, 0, 1, 4, 4, 0, 1, 1, 2, 3, 4, 3, 0, 1, 4, 3, 1, 3, 2, 2, 1, 0, 3, 0, 3, 0, 0, 1, 0, 0, 0, 4, 2, 4, 2, 2, 1, 4, 3, 3, 0, 1, 0, 0, 4, 4, 0, 4, 1, 0, 0, 0, 4, 1, 4, 3, 2, 4, 2, 1, 2, 4, 2, 2, 1, 4, 4, 1, 1, 1, 4, 1, 3, 4, 1, 0, 1, 3, 0, 4, 1, 0, 1, 2, 0, 0, 2, 4, 0, 0, 4, 1, 0, 0, 2, 4, 0, 4, 2, 2, 0, 4, 4, 4, 0, 4, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 4, 0, 2, 3, 0, 1, 2, 1, 2, 0, 1, 3, 3, 2, 1, 0, 2, 4, 3, 3, 0, 4, 1, 3, 1, 3, 3, 0, 4, 1, 1, 2, 2, 2, 0, 2, 0, 3, 2, 4, 4, 3, 0, 3, 1, 4, 3, 4, 1, 4, 1, 2, 0, 2, 4, 4, 4, 2, 1, 1, 1, 0, 1, 4, 1, 1, 3, 0, 2, 3, 3, 3, 0, 2, 0, 2, 2, 2, 3, 0, 2, 4, 2, 0, 1, 0, 1] pubkeycol1096 = [1, 4, 1, 0, 0, 2, 2, 4, 4, 2, 2, 2, 4, 4, 0, 0, 1, 3, 3, 0, 3, 3, 1, 2, 2, 3, 0, 1, 4, 0, 0, 4, 3, 1, 1, 1, 0, 1, 2, 4, 4, 2, 0, 3, 4, 3, 3, 4, 3, 2, 0, 4, 0, 0, 3, 1, 2, 3, 1, 4, 0, 3, 0, 3, 0, 2, 0, 1, 4, 3, 4, 4, 0, 4, 4, 4, 4, 0, 1, 3, 2, 2, 3, 1, 3, 3, 0, 2, 1, 3, 2, 0, 3, 0, 0, 0, 2, 0, 1, 4, 4, 2, 1, 4, 1, 2, 1, 4, 1, 1, 3, 4, 1, 4, 4, 4, 3, 1, 4, 4, 4, 2, 3, 2, 3, 3, 1, 4, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 0, 3, 4, 2, 2, 2, 2, 3, 0, 1, 1, 0, 3, 2, 2, 3, 3, 3, 3, 3, 1, 1, 0, 4, 3, 4, 3, 4, 4, 0, 4, 1, 0, 0, 3, 3, 0, 1, 3, 1, 1, 1, 3, 2, 0, 4, 3, 3, 3, 0, 2, 1, 3, 2, 3, 2, 0, 3, 2, 3, 3, 4, 2, 2, 1, 3, 2, 0, 1, 2, 3, 0, 1, 0, 1, 1, 4, 4, 1, 3, 2, 1, 2, 0, 1, 0, 0, 0, 1, 4, 2, 1, 1, 2, 4, 0, 1, 1, 2, 2, 3, 1, 2, 0, 4, 2, 2, 3, 2, 3, 4, 4, 1, 3, 2, 0, 1, 1, 1, 2, 0, 1, 4, 4, 0, 0, 4, 1, 4, 3, 1, 3, 2, 3, 1, 4, 3, 1, 1, 3, 3, 0, 0, 2, 4, 4, 4, 2, 4, 1, 2, 2, 0, 2, 0, 0, 2, 4, 0, 2, 2, 4, 4, 1, 4, 2, 1, 4, 4, 2, 0, 3, 3, 4, 0, 4, 3, 1, 2, 3, 2, 2, 4, 3, 1, 4, 0, 0, 2, 4, 3, 0, 2, 4, 4, 1, 2, 2, 3, 4, 1, 3, 4, 0, 1, 2, 3, 0, 4, 0, 1, 3, 3, 4, 2, 0, 0, 1, 4, 0, 4, 1, 1, 4, 1, 3, 2, 2, 3, 3, 4, 3, 3, 0, 3, 1, 4, 3, 2, 4, 4, 0, 3, 3, 1, 2, 3, 1, 3, 1, 4, 1, 3, 3, 4, 3, 1, 4, 1, 4, 0, 3] pubkeycol1097 = [3, 4, 3, 1, 4, 3, 2, 3, 4, 1, 2, 0, 0, 4, 3, 4, 0, 2, 3, 1, 0, 3, 0, 1, 0, 4, 4, 1, 0, 3, 0, 3, 3, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 4, 1, 0, 2, 0, 1, 2, 2, 4, 1, 1, 3, 4, 4, 2, 3, 4, 1, 0, 3, 0, 1, 4, 1, 1, 0, 1, 2, 4, 1, 1, 3, 4, 2, 0, 4, 2, 3, 3, 3, 3, 0, 4, 3, 2, 4, 3, 0, 4, 1, 3, 3, 0, 3, 1, 1, 3, 4, 3, 0, 2, 4, 2, 4, 0, 4, 0, 4, 0, 1, 0, 1, 2, 3, 0, 0, 3, 0, 3, 0, 1, 2, 2, 0, 4, 2, 1, 4, 4, 3, 4, 3, 2, 1, 3, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 4, 3, 3, 4, 1, 4, 3, 1, 3, 4, 1, 0, 0, 3, 0, 3, 2, 4, 0, 4, 3, 1, 0, 2, 1, 3, 2, 2, 1, 0, 3, 1, 1, 0, 1, 1, 1, 0, 2, 4, 2, 3, 2, 3, 2, 0, 1, 0, 1, 4, 4, 0, 0, 0, 0, 3, 3, 2, 1, 4, 0, 4, 0, 1, 1, 4, 3, 4, 2, 3, 0, 4, 4, 2, 3, 2, 3, 2, 1, 3, 1, 1, 4, 1, 0, 1, 0, 0, 0, 4, 0, 2, 3, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 4, 4, 3, 4, 0, 0, 0, 3, 0, 3, 4, 1, 4, 4, 0, 1, 1, 4, 4, 0, 3, 2, 4, 2, 3, 0, 0, 3, 2, 0, 4, 3, 4, 4, 1, 4, 3, 4, 4, 1, 0, 0, 4, 3, 2, 2, 3, 2, 0, 1, 1, 4, 1, 3, 0, 4, 3, 0, 2, 1, 4, 0, 1, 3, 3, 0, 1, 4, 0, 4, 3, 4, 0, 0, 4, 2, 3, 3, 0, 0, 2, 0, 3, 2, 1, 3, 0, 1, 3, 3, 0, 1, 0, 1, 3, 3, 4, 2, 0, 3, 0, 2, 0, 0, 1, 1, 1, 1, 0, 4, 3, 4, 1, 2, 1, 3, 1, 1, 4, 0, 3, 0, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 4, 4, 1, 0, 3, 4, 2, 0, 4, 4, 2] pubkeycol1098 = [1, 3, 1, 4, 3, 2, 3, 1, 2, 4, 2, 0, 0, 4, 0, 0, 0, 3, 3, 1, 2, 0, 1, 2, 2, 0, 4, 2, 4, 4, 4, 4, 0, 3, 3, 1, 0, 1, 0, 3, 2, 2, 1, 4, 1, 4, 0, 4, 0, 2, 2, 4, 3, 4, 4, 4, 1, 1, 3, 2, 4, 2, 1, 4, 1, 1, 3, 2, 0, 4, 0, 0, 4, 3, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 1, 3, 0, 1, 1, 4, 0, 0, 4, 3, 2, 4, 2, 0, 0, 4, 1, 0, 0, 2, 2, 0, 1, 3, 3, 2, 4, 2, 3, 1, 0, 0, 4, 4, 4, 3, 1, 0, 0, 1, 0, 2, 4, 2, 0, 1, 4, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 4, 0, 2, 2, 3, 4, 4, 0, 0, 1, 4, 0, 3, 3, 2, 1, 3, 1, 2, 1, 2, 3, 1, 1, 4, 1, 4, 3, 0, 2, 4, 1, 4, 2, 3, 0, 2, 0, 2, 1, 1, 1, 3, 2, 1, 1, 2, 3, 0, 2, 1, 0, 4, 4, 3, 3, 4, 1, 3, 0, 0, 3, 2, 3, 1, 1, 1, 0, 0, 4, 1, 0, 3, 4, 3, 0, 1, 2, 3, 3, 2, 1, 4, 1, 3, 1, 1, 2, 3, 1, 2, 1, 0, 3, 4, 1, 0, 4, 1, 1, 2, 1, 1, 1, 3, 3, 4, 0, 3, 4, 3, 0, 1, 3, 4, 0, 3, 4, 0, 1, 0, 4, 0, 2, 0, 0, 3, 1, 4, 3, 2, 3, 3, 4, 0, 1, 1, 2, 0, 1, 1, 2, 1, 3, 1, 4, 4, 3, 1, 1, 0, 0, 0, 4, 0, 2, 2, 2, 3, 2, 2, 4, 0, 0, 3, 1, 3, 0, 0, 0, 1, 0, 1, 1, 4, 3, 0, 2, 2, 4, 4, 3, 1, 1, 0, 2, 1, 0, 3, 0, 2, 0, 0, 0, 1, 2, 4, 3, 3, 3, 4, 2, 0, 1, 4, 2, 3, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 0, 3, 2, 0, 3, 4, 3, 2, 0, 1, 3, 0, 4, 1, 3, 2, 4, 0, 0, 3, 4, 4, 0, 1, 3, 2, 4, 2, 0, 1, 3, 4, 0, 4, 2, 4, 0, 2, 0] pubkeycol1099 = [2, 0, 4, 3, 4, 3, 4, 2, 2, 0, 1, 0, 3, 3, 2, 2, 2, 3, 2, 0, 1, 0, 3, 2, 1, 1, 2, 3, 0, 0, 2, 0, 1, 1, 4, 4, 2, 3, 0, 1, 2, 2, 2, 4, 4, 1, 0, 4, 3, 4, 3, 2, 3, 4, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 3, 4, 0, 2, 1, 3, 2, 4, 2, 1, 0, 3, 4, 0, 0, 0, 3, 3, 1, 3, 2, 1, 3, 0, 3, 2, 2, 4, 3, 4, 4, 0, 3, 0, 1, 3, 1, 1, 1, 4, 3, 4, 3, 1, 1, 1, 0, 4, 4, 4, 4, 0, 4, 0, 0, 1, 4, 2, 2, 0, 4, 2, 4, 4, 4, 2, 0, 0, 0, 3, 3, 4, 4, 2, 3, 0, 1, 4, 3, 0, 3, 0, 1, 4, 0, 4, 2, 4, 4, 2, 1, 2, 3, 1, 0, 3, 2, 2, 1, 4, 1, 2, 2, 1, 3, 1, 1, 0, 3, 0, 0, 1, 2, 2, 1, 3, 3, 4, 3, 3, 4, 1, 4, 4, 3, 0, 3, 3, 3, 1, 0, 3, 4, 1, 4, 2, 0, 3, 0, 4, 3, 4, 3, 2, 1, 0, 1, 1, 2, 3, 0, 3, 3, 1, 2, 4, 2, 2, 2, 3, 0, 0, 4, 2, 3, 2, 3, 0, 2, 3, 1, 2, 4, 1, 0, 1, 3, 2, 3, 2, 2, 1, 3, 3, 2, 0, 0, 1, 3, 4, 0, 3, 4, 3, 0, 4, 0, 2, 4, 4, 3, 1, 0, 2, 4, 4, 0, 4, 1, 4, 4, 3, 3, 3, 4, 1, 3, 1, 2, 3, 4, 2, 0, 1, 1, 4, 4, 0, 1, 4, 3, 0, 2, 2, 3, 0, 3, 1, 4, 3, 3, 2, 2, 1, 2, 2, 1, 0, 3, 4, 3, 0, 4, 3, 1, 0, 3, 3, 4, 0, 2, 3, 2, 2, 0, 1, 0, 4, 2, 1, 2, 2, 4, 1, 0, 1, 0, 1, 3, 4, 3, 4, 3, 0, 2, 3, 0, 2, 2, 0, 4, 4, 3, 3, 4, 1, 3, 2, 3, 4, 1, 2, 3, 0, 2, 1, 2, 3, 4, 0, 1, 4, 0, 3, 0, 2, 4, 3, 2, 2, 2, 2, 4, 4, 2, 1, 4, 3, 2, 2, 0, 4, 0, 1] pubkeycol1100 = [0, 3, 4, 0, 3, 4, 3, 0, 2, 4, 1, 0, 0, 3, 2, 2, 3, 4, 3, 2, 3, 4, 2, 1, 2, 3, 2, 1, 1, 1, 4, 2, 1, 3, 0, 4, 4, 2, 4, 4, 4, 0, 3, 1, 2, 3, 4, 4, 0, 2, 0, 1, 1, 3, 1, 4, 3, 2, 1, 2, 1, 4, 4, 3, 0, 1, 2, 2, 3, 4, 1, 2, 2, 1, 0, 3, 4, 2, 4, 3, 3, 2, 1, 1, 1, 4, 3, 2, 2, 1, 4, 4, 1, 4, 3, 2, 2, 1, 1, 3, 2, 4, 2, 3, 0, 0, 0, 4, 3, 1, 3, 0, 1, 4, 3, 3, 2, 4, 3, 3, 2, 2, 4, 3, 1, 1, 4, 4, 2, 1, 0, 0, 0, 3, 4, 2, 4, 1, 3, 0, 3, 3, 1, 2, 2, 1, 3, 3, 2, 0, 2, 1, 0, 2, 0, 2, 0, 3, 0, 1, 2, 2, 3, 3, 0, 2, 2, 4, 0, 3, 2, 3, 2, 2, 1, 2, 4, 2, 0, 3, 1, 3, 1, 2, 3, 3, 3, 0, 1, 3, 3, 4, 3, 4, 3, 0, 4, 2, 2, 4, 0, 3, 2, 4, 3, 1, 0, 2, 2, 2, 4, 0, 3, 0, 3, 4, 4, 2, 1, 0, 3, 0, 0, 2, 0, 1, 2, 1, 2, 3, 4, 2, 3, 3, 2, 2, 0, 1, 3, 3, 3, 0, 2, 0, 0, 4, 1, 4, 1, 2, 1, 3, 3, 2, 2, 4, 1, 2, 1, 0, 4, 0, 1, 2, 3, 2, 3, 1, 3, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 3, 3, 2, 2, 0, 2, 4, 2, 0, 3, 1, 3, 2, 1, 1, 0, 1, 4, 1, 1, 3, 2, 0, 0, 2, 0, 4, 2, 2, 4, 1, 0, 4, 4, 0, 2, 1, 2, 4, 4, 0, 2, 0, 1, 4, 1, 3, 1, 1, 3, 1, 2, 4, 3, 0, 4, 4, 2, 3, 4, 0, 3, 3, 2, 4, 3, 1, 0, 3, 1, 0, 1, 1, 1, 3, 0, 4, 4, 2, 2, 0, 4, 2, 1, 2, 1, 1, 3, 4, 0, 1, 3, 3, 1, 1, 4, 2, 3, 3, 3, 4, 3, 1, 3, 4, 0, 4, 0, 0, 4, 0, 1, 4, 4, 2, 0, 0, 2, 3, 1, 4] pubkeycol1101 = [0, 2, 1, 4, 0, 1, 2, 3, 2, 2, 4, 3, 1, 2, 2, 1, 3, 1, 2, 4, 1, 4, 3, 2, 0, 3, 3, 0, 3, 1, 4, 2, 0, 3, 0, 0, 4, 4, 0, 0, 1, 2, 0, 3, 1, 4, 0, 4, 2, 0, 4, 3, 3, 3, 0, 2, 2, 4, 4, 0, 1, 4, 0, 2, 0, 4, 1, 0, 0, 4, 2, 4, 0, 1, 2, 3, 2, 2, 4, 3, 4, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 1, 0, 4, 2, 1, 3, 3, 1, 4, 3, 1, 0, 0, 3, 1, 1, 2, 3, 1, 4, 4, 4, 1, 2, 2, 0, 0, 2, 4, 0, 0, 1, 4, 0, 0, 3, 0, 2, 3, 2, 0, 0, 0, 1, 4, 0, 1, 2, 1, 3, 3, 3, 3, 0, 3, 1, 3, 3, 3, 1, 3, 4, 1, 0, 0, 1, 3, 4, 4, 0, 4, 1, 0, 4, 4, 0, 3, 3, 3, 3, 4, 3, 4, 1, 0, 2, 0, 3, 1, 1, 1, 4, 4, 3, 4, 4, 3, 3, 0, 3, 3, 3, 2, 1, 4, 4, 3, 2, 4, 0, 0, 4, 2, 3, 2, 3, 1, 4, 3, 2, 2, 1, 2, 4, 4, 4, 4, 1, 2, 3, 3, 3, 2, 2, 4, 3, 0, 2, 0, 4, 1, 4, 4, 2, 3, 0, 4, 2, 2, 0, 2, 4, 0, 1, 4, 4, 0, 1, 3, 4, 4, 2, 0, 1, 2, 4, 0, 2, 4, 2, 4, 4, 2, 0, 0, 2, 2, 4, 0, 1, 4, 2, 3, 1, 4, 2, 1, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 0, 1, 2, 2, 1, 3, 1, 0, 2, 3, 0, 1, 2, 4, 2, 1, 0, 1, 0, 3, 2, 3, 2, 4, 3, 4, 1, 1, 0, 2, 3, 0, 0, 3, 3, 4, 4, 3, 0, 4, 3, 1, 4, 2, 4, 3, 2, 2, 2, 3, 4, 1, 1, 1, 1, 2, 4, 0, 3, 2, 4, 0, 4, 0, 1, 2, 3, 2, 4, 2, 2, 1, 4, 0, 0, 2, 3, 3, 1, 2, 1, 2, 4, 0, 0, 3, 0, 2, 0, 4, 4, 4, 3, 4, 0, 3, 3, 3, 3, 4, 1, 0, 3, 2, 3, 4, 4, 1, 3, 0, 4, 0] pubkeycol1102 = [0, 1, 2, 3, 4, 1, 0, 0, 2, 4, 4, 0, 2, 4, 1, 0, 1, 0, 1, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 4, 0, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 4, 1, 4, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 4, 3, 2, 2, 0, 2, 4, 1, 1, 4, 3, 0, 0, 3, 1, 0, 3, 2, 1, 1, 2, 4, 4, 3, 2, 2, 1, 3, 0, 2, 1, 4, 3, 2, 0, 3, 4, 1, 1, 4, 2, 2, 0, 0, 1, 3, 1, 4, 3, 0, 1, 3, 4, 0, 2, 1, 1, 2, 2, 1, 1, 0, 3, 3, 3, 2, 0, 0, 0, 1, 2, 4, 0, 2, 3, 3, 3, 1, 0, 1, 2, 4, 0, 2, 4, 2, 2, 1, 2, 1, 3, 4, 0, 1, 3, 3, 0, 4, 4, 1, 1, 2, 2, 2, 3, 0, 0, 4, 2, 3, 1, 4, 0, 3, 4, 1, 1, 2, 3, 2, 4, 2, 2, 0, 1, 3, 1, 1, 4, 1, 2, 2, 4, 4, 2, 0, 2, 4, 3, 1, 0, 2, 1, 2, 3, 4, 3, 2, 1, 0, 3, 2, 3, 0, 3, 1, 4, 0, 1, 1, 4, 1, 4, 4, 0, 1, 3, 4, 0, 3, 4, 1, 1, 4, 0, 4, 1, 0, 1, 4, 3, 2, 4, 1, 1, 4, 3, 4, 4, 2, 2, 0, 4, 0, 3, 1, 3, 3, 0, 2, 0, 0, 3, 4, 0, 2, 2, 3, 1, 0, 2, 1, 0, 2, 1, 3, 3, 4, 1, 3, 0, 2, 2, 4, 2, 4, 4, 1, 0, 1, 0, 4, 1, 2, 3, 2, 2, 2, 3, 0, 3, 3, 4, 2, 0, 0, 1, 1, 2, 0, 2, 4, 0, 2, 3, 1, 2, 3, 3, 3, 0, 4, 3, 3, 2, 3, 3, 2, 0, 0, 2, 3, 3, 0, 4, 1, 0, 2, 1, 4, 4, 2, 4, 2, 2, 4, 2, 0, 0, 0, 2, 1, 0, 1, 0, 3, 4, 4, 3, 3, 1, 3, 2, 0, 3, 2, 1, 2, 3, 0, 3, 0, 3, 3, 4, 0, 2, 3, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 4, 2, 2, 0, 4, 4, 3, 1, 0, 1, 3, 1] pubkeycol1103 = [4, 0, 1, 1, 4, 2, 0, 3, 3, 3, 2, 2, 2, 3, 4, 2, 1, 4, 4, 1, 4, 3, 4, 2, 0, 4, 4, 1, 3, 4, 2, 0, 0, 4, 1, 4, 0, 1, 0, 1, 4, 2, 3, 0, 1, 1, 3, 1, 2, 1, 1, 4, 4, 4, 2, 0, 3, 1, 0, 2, 0, 0, 2, 2, 1, 3, 4, 4, 1, 2, 3, 0, 3, 1, 4, 1, 3, 2, 2, 1, 0, 2, 3, 2, 1, 3, 4, 2, 2, 2, 1, 3, 2, 2, 0, 0, 2, 4, 4, 0, 3, 2, 1, 1, 0, 2, 3, 4, 4, 1, 0, 0, 0, 0, 3, 0, 0, 3, 0, 3, 2, 2, 1, 2, 4, 2, 0, 1, 0, 3, 4, 3, 0, 4, 3, 0, 3, 4, 4, 3, 3, 3, 3, 3, 2, 0, 1, 3, 3, 0, 2, 2, 2, 2, 4, 3, 0, 4, 2, 1, 3, 2, 2, 2, 0, 3, 2, 1, 2, 2, 3, 4, 1, 3, 3, 3, 2, 3, 3, 1, 2, 0, 1, 1, 2, 4, 1, 0, 3, 2, 0, 4, 0, 2, 4, 0, 3, 4, 2, 0, 2, 2, 3, 1, 1, 4, 0, 1, 3, 4, 4, 1, 4, 4, 4, 0, 0, 4, 1, 3, 2, 2, 2, 2, 2, 4, 2, 1, 0, 3, 0, 0, 1, 0, 0, 4, 1, 1, 3, 0, 0, 1, 4, 0, 3, 3, 2, 4, 3, 1, 2, 3, 3, 2, 4, 4, 3, 0, 0, 0, 0, 1, 3, 2, 3, 4, 2, 4, 0, 4, 1, 3, 2, 2, 1, 4, 4, 4, 0, 2, 2, 0, 4, 4, 2, 0, 3, 0, 1, 0, 3, 1, 0, 3, 2, 4, 3, 4, 4, 2, 2, 4, 1, 0, 4, 2, 2, 4, 2, 3, 0, 3, 2, 2, 4, 4, 4, 2, 2, 2, 1, 0, 1, 3, 2, 3, 0, 4, 3, 3, 4, 1, 2, 3, 3, 1, 4, 1, 4, 3, 4, 1, 1, 0, 4, 0, 2, 0, 2, 2, 1, 0, 4, 4, 2, 1, 3, 3, 2, 4, 4, 1, 2, 0, 3, 1, 4, 3, 4, 3, 2, 2, 0, 2, 0, 2, 1, 2, 4, 4, 4, 4, 4, 2, 3, 2, 3, 2, 3, 3, 2, 4, 4, 0, 1, 2, 3, 4, 3, 0] pubkeycol1104 = [0, 2, 4, 2, 1, 1, 1, 1, 4, 3, 3, 2, 1, 0, 3, 2, 2, 4, 3, 2, 2, 4, 4, 0, 1, 4, 2, 0, 3, 1, 3, 1, 0, 4, 3, 1, 2, 4, 4, 1, 4, 4, 0, 0, 3, 1, 2, 3, 4, 3, 4, 3, 4, 3, 1, 0, 0, 2, 3, 1, 4, 3, 2, 2, 2, 4, 1, 0, 1, 2, 4, 4, 4, 3, 0, 1, 2, 1, 2, 4, 2, 1, 3, 2, 4, 0, 0, 1, 4, 2, 0, 1, 0, 3, 1, 3, 2, 2, 2, 0, 2, 3, 0, 2, 2, 2, 0, 0, 1, 0, 3, 0, 4, 0, 3, 1, 1, 4, 2, 2, 4, 0, 0, 3, 3, 2, 1, 0, 1, 2, 4, 2, 3, 0, 2, 4, 1, 1, 3, 1, 3, 4, 3, 3, 4, 1, 1, 4, 1, 0, 2, 0, 0, 1, 3, 4, 3, 0, 3, 0, 4, 0, 2, 2, 1, 3, 1, 1, 4, 3, 3, 4, 3, 3, 1, 0, 3, 3, 1, 0, 3, 3, 2, 4, 4, 0, 1, 3, 4, 2, 3, 4, 1, 1, 0, 0, 1, 2, 3, 4, 1, 2, 3, 1, 4, 0, 1, 0, 0, 3, 1, 1, 0, 4, 0, 4, 2, 3, 1, 4, 0, 0, 3, 0, 3, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 3, 1, 3, 0, 0, 2, 1, 1, 0, 2, 0, 4, 2, 2, 1, 3, 0, 1, 0, 0, 2, 2, 3, 4, 4, 2, 1, 1, 0, 2, 4, 4, 2, 2, 1, 0, 3, 0, 4, 3, 1, 1, 2, 1, 0, 4, 2, 4, 2, 4, 2, 0, 3, 4, 3, 0, 4, 3, 1, 3, 1, 2, 0, 1, 3, 4, 2, 0, 4, 4, 2, 4, 3, 4, 3, 1, 4, 4, 3, 0, 3, 3, 2, 4, 3, 4, 0, 2, 1, 0, 4, 0, 4, 1, 2, 0, 2, 4, 0, 2, 2, 1, 3, 4, 0, 3, 4, 4, 2, 3, 2, 1, 3, 1, 1, 0, 4, 4, 2, 2, 1, 1, 4, 2, 0, 0, 2, 3, 1, 4, 1, 1, 4, 3, 0, 0, 1, 1, 1, 2, 0, 0, 4, 1, 0, 2, 3, 0, 2, 0, 2, 0, 2, 4, 1, 3, 0, 0, 1, 3, 2, 0, 4, 3, 2] pubkeycol1105 = [0, 1, 3, 0, 1, 3, 4, 1, 0, 1, 4, 3, 1, 3, 2, 2, 4, 4, 2, 4, 2, 0, 0, 2, 4, 1, 2, 0, 1, 2, 3, 1, 0, 3, 4, 3, 0, 4, 1, 3, 0, 0, 3, 1, 3, 0, 4, 4, 1, 2, 0, 2, 2, 3, 2, 2, 3, 0, 1, 1, 1, 4, 4, 0, 1, 2, 4, 2, 4, 0, 4, 0, 0, 3, 4, 3, 1, 4, 0, 4, 0, 1, 3, 0, 4, 2, 2, 3, 1, 1, 0, 3, 1, 2, 2, 0, 3, 4, 1, 3, 0, 3, 3, 3, 4, 1, 3, 3, 0, 1, 0, 4, 4, 3, 0, 4, 4, 0, 0, 2, 3, 4, 3, 3, 2, 2, 4, 0, 3, 4, 1, 4, 2, 3, 3, 4, 2, 3, 4, 0, 1, 2, 4, 3, 4, 4, 0, 1, 1, 4, 4, 3, 2, 4, 0, 4, 3, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 2, 3, 0, 3, 1, 3, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 4, 4, 4, 1, 4, 2, 4, 2, 3, 0, 3, 0, 2, 3, 4, 3, 1, 2, 4, 0, 4, 4, 2, 4, 3, 1, 2, 2, 3, 2, 1, 3, 3, 0, 4, 0, 0, 3, 1, 2, 0, 4, 2, 1, 2, 1, 1, 1, 4, 3, 1, 4, 2, 0, 3, 4, 4, 3, 0, 3, 2, 1, 2, 1, 4, 1, 4, 2, 2, 0, 1, 4, 1, 1, 1, 2, 0, 2, 0, 3, 4, 3, 4, 2, 1, 1, 0, 4, 3, 2, 2, 4, 2, 4, 4, 1, 3, 3, 1, 1, 2, 0, 3, 3, 0, 0, 4, 0, 3, 4, 3, 4, 2, 3, 2, 4, 3, 0, 0, 0, 3, 0, 0, 4, 3, 2, 0, 0, 4, 3, 3, 0, 1, 2, 1, 1, 4, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 4, 1, 2, 1, 3, 4, 3, 3, 4, 2, 4, 1, 1, 4, 0, 4, 0, 4, 1, 0, 4, 2, 0, 1, 1, 0, 3, 4, 2, 1, 0, 2, 3, 2, 3, 0, 2, 2, 2, 0, 1, 4, 3, 0, 4, 4, 4, 0, 3, 1, 3, 0, 3, 3, 1, 4, 2, 1, 2, 2, 3, 2, 4, 3, 1, 3, 4, 0] pubkeycol1106 = [4, 1, 4, 3, 3, 3, 4, 3, 3, 2, 0, 1, 1, 3, 0, 2, 3, 0, 3, 2, 1, 4, 4, 0, 4, 3, 2, 4, 2, 0, 3, 4, 1, 1, 0, 3, 4, 1, 2, 4, 2, 1, 0, 1, 1, 1, 4, 3, 0, 1, 1, 3, 4, 0, 4, 3, 1, 3, 3, 0, 0, 1, 4, 1, 4, 4, 4, 4, 2, 3, 2, 2, 2, 3, 3, 0, 1, 0, 1, 2, 3, 0, 3, 2, 0, 0, 3, 3, 2, 3, 3, 1, 4, 3, 4, 4, 3, 1, 0, 1, 3, 1, 0, 2, 4, 3, 2, 1, 0, 4, 0, 2, 3, 2, 4, 1, 2, 4, 4, 1, 4, 2, 3, 4, 2, 1, 3, 3, 4, 1, 2, 3, 1, 1, 4, 4, 2, 0, 4, 4, 0, 0, 2, 4, 4, 3, 1, 4, 3, 4, 3, 0, 0, 1, 2, 2, 3, 1, 2, 2, 0, 0, 2, 4, 1, 1, 1, 2, 1, 2, 4, 2, 2, 1, 3, 2, 3, 1, 4, 3, 3, 0, 3, 3, 4, 3, 4, 0, 1, 0, 1, 1, 3, 0, 4, 4, 3, 2, 4, 0, 1, 0, 3, 3, 4, 2, 0, 3, 3, 3, 0, 4, 4, 0, 4, 4, 1, 1, 1, 0, 2, 1, 0, 4, 1, 3, 0, 1, 1, 4, 2, 0, 2, 3, 3, 1, 3, 1, 0, 2, 4, 3, 2, 4, 3, 2, 1, 1, 3, 4, 0, 1, 3, 0, 2, 1, 1, 2, 1, 3, 1, 1, 2, 1, 2, 2, 2, 1, 3, 0, 1, 4, 0, 0, 1, 2, 1, 0, 2, 0, 3, 1, 0, 0, 2, 1, 0, 1, 1, 3, 3, 4, 0, 3, 4, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 3, 1, 0, 1, 4, 2, 1, 4, 4, 4, 3, 4, 4, 1, 0, 0, 1, 4, 1, 2, 4, 0, 4, 3, 4, 4, 1, 0, 0, 3, 4, 4, 4, 3, 3, 4, 2, 4, 3, 1, 3, 1, 2, 0, 4, 1, 0, 4, 3, 1, 1, 1, 1, 4, 4, 3, 3, 0, 3, 3, 2, 0, 2, 1, 1, 4, 3, 4, 2, 1, 4, 4, 2, 0, 4, 2, 2, 4, 3, 4, 4, 3, 1, 1, 0, 1, 3, 1, 0, 2, 3, 2, 0, 3, 3] pubkeycol1107 = [3, 2, 0, 0, 0, 2, 4, 2, 3, 1, 4, 4, 1, 4, 3, 1, 1, 3, 1, 2, 0, 0, 3, 2, 4, 1, 0, 4, 3, 4, 3, 2, 4, 4, 4, 0, 2, 4, 4, 4, 0, 4, 2, 4, 3, 0, 3, 2, 4, 3, 4, 1, 0, 4, 2, 3, 3, 2, 4, 2, 1, 1, 1, 0, 0, 1, 4, 0, 2, 0, 0, 4, 4, 4, 0, 1, 4, 2, 0, 1, 1, 4, 2, 4, 3, 0, 4, 1, 2, 4, 1, 2, 0, 4, 3, 2, 3, 3, 0, 3, 4, 4, 2, 0, 0, 2, 0, 2, 4, 4, 4, 4, 2, 1, 1, 4, 0, 1, 0, 2, 4, 3, 4, 0, 3, 3, 1, 0, 2, 1, 0, 1, 3, 1, 3, 2, 4, 2, 2, 3, 1, 1, 0, 3, 2, 0, 3, 3, 1, 2, 1, 4, 3, 1, 3, 0, 1, 4, 3, 2, 4, 4, 0, 0, 1, 4, 4, 3, 2, 4, 1, 3, 2, 0, 2, 2, 1, 3, 3, 0, 2, 0, 3, 2, 1, 2, 0, 1, 1, 2, 2, 2, 4, 2, 0, 1, 2, 4, 1, 3, 3, 3, 0, 1, 1, 2, 2, 4, 2, 1, 3, 1, 4, 2, 0, 3, 1, 1, 1, 3, 2, 2, 2, 0, 2, 1, 3, 4, 4, 0, 1, 0, 4, 0, 0, 2, 0, 0, 1, 0, 2, 0, 4, 1, 2, 4, 0, 4, 3, 3, 1, 1, 4, 2, 1, 4, 1, 4, 1, 1, 3, 0, 2, 0, 2, 4, 1, 3, 4, 3, 4, 2, 4, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 4, 0, 3, 4, 0, 0, 2, 4, 1, 1, 4, 4, 0, 4, 0, 2, 0, 3, 2, 1, 3, 4, 3, 3, 1, 2, 4, 4, 0, 2, 2, 4, 1, 0, 0, 4, 4, 2, 3, 3, 4, 4, 4, 2, 4, 3, 4, 4, 3, 2, 1, 0, 1, 4, 0, 0, 3, 0, 1, 1, 4, 4, 3, 3, 0, 3, 2, 1, 4, 4, 0, 4, 0, 4, 4, 4, 3, 1, 0, 2, 3, 0, 4, 4, 1, 2, 4, 4, 4, 4, 3, 3, 4, 2, 0, 3, 0, 3, 4, 4, 2, 2, 1, 4, 4, 4, 1, 2, 3, 1, 4, 4, 0, 4, 2, 3, 0] pubkeycol1108 = [2, 4, 2, 0, 0, 2, 3, 4, 0, 0, 4, 2, 2, 3, 0, 0, 1, 2, 4, 3, 0, 1, 4, 3, 0, 4, 3, 3, 0, 1, 4, 4, 0, 0, 1, 3, 1, 4, 3, 0, 4, 4, 2, 4, 3, 3, 4, 3, 0, 4, 0, 4, 2, 0, 4, 3, 0, 4, 1, 0, 0, 2, 0, 3, 4, 1, 1, 2, 1, 3, 0, 3, 1, 2, 3, 4, 2, 0, 0, 1, 4, 2, 2, 4, 2, 1, 2, 1, 4, 4, 4, 3, 2, 3, 2, 2, 0, 3, 0, 0, 3, 0, 3, 4, 4, 3, 3, 3, 1, 4, 1, 1, 0, 2, 3, 4, 1, 4, 3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 1, 4, 3, 4, 1, 4, 4, 4, 1, 4, 4, 1, 4, 2, 1, 4, 1, 2, 4, 0, 1, 3, 4, 3, 0, 4, 1, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 4, 3, 1, 1, 1, 0, 2, 0, 0, 4, 3, 3, 4, 2, 0, 2, 3, 1, 2, 4, 0, 3, 1, 0, 0, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 2, 1, 2, 3, 0, 4, 0, 4, 2, 2, 4, 3, 0, 4, 3, 3, 1, 2, 4, 4, 3, 0, 1, 3, 2, 4, 4, 4, 1, 3, 0, 3, 0, 2, 0, 2, 4, 4, 0, 1, 1, 0, 2, 2, 4, 4, 3, 0, 1, 1, 1, 4, 1, 2, 3, 4, 4, 4, 3, 2, 1, 3, 3, 2, 3, 0, 2, 2, 2, 2, 4, 2, 1, 0, 3, 1, 0, 0, 2, 4, 4, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 3, 2, 1, 3, 3, 1, 2, 1, 3, 2, 3, 0, 4, 2, 0, 1, 1, 2, 2, 3, 1, 0, 3, 1, 2, 1, 0, 4, 3, 0, 3, 4, 3, 0, 4, 2, 4, 3, 2, 3, 3, 0, 1, 1, 2, 2, 0, 2, 2, 4, 1, 1, 0, 4, 0, 2, 3, 1, 0, 0, 2, 0, 1, 2, 4, 2, 2, 1, 0, 3, 0, 0, 3, 4, 0, 1, 2, 1, 1, 3, 0, 2, 0, 1, 0, 2, 3, 2, 2, 2, 3, 4, 1, 2, 3, 2, 0, 3, 0, 0, 4, 3, 3, 2, 1, 1] pubkeycol1109 = [4, 4, 1, 3, 4, 3, 4, 1, 2, 1, 0, 3, 1, 0, 0, 4, 3, 1, 3, 0, 2, 4, 3, 4, 0, 4, 0, 2, 2, 0, 1, 1, 4, 0, 0, 3, 0, 3, 0, 1, 1, 3, 1, 1, 0, 2, 3, 0, 0, 0, 4, 2, 0, 4, 4, 0, 1, 2, 1, 0, 4, 0, 3, 2, 4, 0, 4, 4, 1, 1, 0, 0, 0, 3, 2, 4, 0, 0, 0, 0, 4, 3, 0, 3, 1, 3, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 0, 3, 4, 0, 2, 1, 1, 0, 4, 0, 4, 2, 2, 0, 1, 1, 1, 3, 3, 2, 3, 0, 1, 3, 4, 1, 2, 4, 2, 4, 1, 2, 3, 2, 2, 3, 3, 3, 2, 0, 4, 1, 4, 2, 3, 4, 1, 4, 1, 2, 1, 4, 3, 1, 3, 4, 1, 1, 3, 0, 3, 4, 3, 1, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 4, 1, 1, 3, 3, 1, 2, 0, 1, 3, 2, 1, 3, 4, 0, 4, 4, 2, 1, 0, 1, 4, 4, 3, 0, 1, 2, 3, 2, 3, 3, 0, 1, 1, 0, 4, 3, 2, 3, 3, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 0, 0, 0, 4, 3, 3, 0, 1, 4, 3, 2, 4, 1, 1, 1, 4, 0, 1, 1, 1, 0, 0, 3, 4, 2, 4, 4, 1, 3, 3, 0, 3, 2, 2, 2, 3, 1, 2, 1, 4, 4, 0, 3, 2, 4, 4, 1, 2, 1, 3, 1, 3, 4, 2, 3, 3, 2, 1, 2, 1, 1, 1, 1, 1, 0, 4, 4, 3, 3, 4, 1, 0, 2, 2, 4, 4, 2, 2, 0, 1, 3, 3, 4, 3, 2, 2, 4, 3, 1, 4, 2, 1, 1, 3, 2, 0, 2, 3, 2, 3, 2, 1, 2, 4, 3, 4, 2, 2, 4, 2, 1, 2, 2, 0, 2, 0, 4, 0, 0, 3, 0, 0, 3, 4, 4, 0, 0, 4, 1, 3, 0, 1, 0, 0, 2, 4, 2, 1, 1, 0, 1, 2, 1, 2, 3, 2, 3, 3, 0, 3, 1, 0, 0, 1, 2, 3, 3, 0, 3, 1, 3, 1, 0, 1, 1, 1, 2, 0, 3, 1, 2, 4, 3, 2, 2, 0, 4] pubkeycol1110 = [4, 4, 3, 0, 4, 2, 4, 0, 2, 2, 0, 0, 0, 3, 1, 1, 0, 3, 1, 1, 3, 2, 3, 3, 2, 4, 3, 1, 3, 0, 0, 1, 4, 2, 2, 0, 0, 4, 1, 1, 0, 2, 4, 2, 4, 4, 3, 0, 4, 0, 0, 2, 2, 1, 1, 3, 4, 2, 3, 2, 1, 4, 2, 4, 2, 0, 0, 4, 4, 3, 2, 3, 1, 3, 2, 3, 1, 3, 3, 3, 4, 2, 4, 1, 0, 0, 2, 4, 4, 3, 4, 0, 2, 1, 3, 1, 2, 2, 3, 1, 2, 0, 2, 3, 3, 1, 4, 0, 1, 1, 4, 0, 1, 4, 2, 4, 1, 3, 0, 4, 3, 2, 0, 4, 2, 4, 4, 4, 1, 0, 1, 3, 1, 0, 3, 3, 3, 0, 4, 0, 2, 0, 0, 3, 2, 1, 1, 2, 0, 1, 2, 3, 0, 0, 3, 1, 4, 4, 1, 0, 0, 0, 0, 2, 4, 1, 0, 2, 1, 1, 1, 1, 0, 1, 3, 4, 4, 3, 4, 1, 1, 0, 2, 1, 1, 3, 2, 2, 3, 3, 2, 1, 4, 0, 3, 4, 4, 3, 1, 0, 0, 1, 2, 3, 1, 2, 1, 3, 2, 4, 4, 4, 2, 0, 1, 4, 3, 4, 3, 1, 4, 0, 1, 1, 4, 2, 3, 2, 4, 1, 1, 0, 4, 2, 0, 1, 2, 1, 1, 4, 4, 1, 4, 3, 4, 4, 0, 0, 1, 3, 4, 2, 3, 4, 2, 3, 0, 1, 4, 3, 1, 0, 4, 2, 1, 4, 4, 4, 1, 2, 4, 3, 3, 4, 3, 2, 4, 0, 0, 4, 1, 2, 3, 3, 3, 1, 2, 4, 4, 1, 4, 3, 0, 4, 2, 0, 0, 3, 3, 0, 2, 0, 1, 4, 1, 4, 1, 4, 3, 4, 1, 2, 0, 3, 4, 4, 3, 3, 1, 2, 0, 0, 1, 4, 3, 3, 1, 4, 0, 1, 4, 0, 2, 4, 2, 4, 0, 3, 1, 3, 3, 0, 4, 3, 3, 0, 2, 1, 4, 3, 0, 0, 0, 3, 0, 3, 3, 2, 4, 4, 0, 1, 4, 1, 1, 3, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 3, 4, 4, 4, 1, 3, 4, 0, 1, 3, 2, 2, 0, 0, 0, 3, 2, 4, 2, 2, 2, 1, 0] pubkeycol1111 = [4, 4, 4, 0, 4, 1, 1, 2, 4, 1, 4, 0, 0, 0, 1, 4, 1, 4, 2, 1, 0, 1, 2, 3, 2, 3, 3, 2, 4, 2, 4, 2, 2, 1, 1, 4, 0, 3, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 1, 1, 1, 2, 0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 2, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 0, 0, 2, 0, 1, 1, 4, 0, 0, 3, 0, 2, 4, 1, 4, 3, 1, 2, 1, 2, 3, 4, 4, 2, 2, 1, 0, 3, 3, 2, 4, 0, 2, 1, 0, 0, 3, 1, 3, 1, 3, 0, 2, 0, 4, 3, 4, 2, 3, 1, 0, 1, 3, 2, 4, 0, 1, 2, 1, 3, 4, 4, 2, 2, 2, 1, 2, 0, 1, 4, 3, 0, 2, 3, 3, 1, 3, 2, 4, 1, 2, 3, 4, 4, 1, 1, 1, 2, 4, 4, 4, 3, 2, 3, 1, 0, 1, 4, 1, 1, 2, 4, 3, 1, 0, 0, 2, 4, 2, 3, 0, 4, 3, 4, 4, 0, 3, 1, 0, 0, 4, 4, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 4, 0, 0, 0, 3, 1, 4, 0, 1, 4, 1, 2, 0, 3, 4, 2, 0, 3, 1, 1, 2, 3, 2, 0, 0, 3, 1, 1, 3, 3, 4, 0, 3, 3, 4, 1, 1, 0, 2, 0, 2, 2, 1, 3, 1, 1, 4, 1, 2, 0, 2, 3, 1, 3, 4, 3, 2, 2, 0, 4, 4, 4, 1, 2, 3, 0, 4, 0, 0, 2, 2, 1, 0, 4, 4, 0, 0, 4, 1, 0, 1, 2, 0, 0, 0, 4, 1, 4, 3, 3, 2, 4, 3, 1, 1, 0, 0, 2, 2, 4, 3, 0, 1, 2, 0, 0, 3, 2, 1, 1, 4, 3, 2, 2, 4, 2, 0, 1, 4, 2, 1, 3, 3, 1, 1, 4, 0, 0, 2, 0, 3, 4, 2, 2, 4, 2, 3, 4, 3, 0, 2, 3, 2, 4, 1, 1, 4, 2, 1, 1, 0, 1, 1, 2, 4, 2, 4, 2, 2, 0, 3, 4, 0, 0, 0, 3, 0, 2, 1, 4, 4, 3, 1, 4, 1, 1, 1, 2, 1, 4, 3, 1, 3, 0, 1, 2, 1, 4, 0, 3, 3, 3, 3] pubkeycol1112 = [3, 4, 2, 0, 1, 1, 0, 3, 4, 1, 4, 1, 4, 1, 1, 2, 4, 3, 1, 2, 3, 0, 3, 0, 4, 1, 2, 4, 3, 0, 2, 3, 0, 2, 4, 3, 3, 4, 1, 2, 3, 1, 4, 2, 3, 2, 4, 1, 0, 1, 1, 3, 4, 2, 4, 1, 0, 3, 0, 2, 1, 1, 4, 0, 3, 1, 4, 2, 0, 2, 1, 4, 3, 0, 1, 1, 4, 2, 4, 4, 0, 3, 4, 2, 3, 0, 1, 1, 2, 4, 1, 4, 1, 4, 4, 2, 4, 2, 4, 1, 4, 0, 2, 4, 1, 3, 0, 0, 2, 2, 4, 3, 1, 2, 0, 1, 2, 0, 4, 3, 3, 3, 1, 3, 0, 4, 1, 0, 0, 3, 1, 2, 4, 2, 2, 3, 3, 4, 3, 0, 0, 0, 2, 2, 3, 4, 4, 4, 3, 1, 1, 1, 0, 0, 2, 3, 4, 0, 3, 0, 4, 3, 1, 2, 1, 3, 1, 2, 0, 4, 1, 3, 4, 4, 4, 2, 2, 0, 3, 4, 0, 3, 1, 1, 0, 2, 2, 1, 4, 4, 3, 1, 0, 0, 2, 1, 2, 3, 4, 0, 1, 1, 4, 4, 1, 1, 2, 1, 3, 3, 2, 4, 1, 0, 1, 4, 3, 0, 4, 0, 4, 0, 2, 3, 4, 3, 3, 1, 4, 4, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 3, 0, 0, 0, 2, 4, 0, 4, 3, 2, 3, 4, 1, 3, 4, 4, 1, 3, 1, 2, 4, 3, 1, 2, 1, 0, 4, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 4, 2, 4, 3, 3, 3, 2, 3, 4, 3, 2, 2, 1, 1, 3, 3, 1, 2, 0, 1, 3, 3, 1, 3, 3, 3, 4, 0, 4, 2, 0, 2, 1, 4, 2, 3, 3, 4, 4, 0, 2, 1, 2, 1, 1, 0, 4, 0, 3, 2, 3, 4, 4, 1, 1, 1, 1, 1, 0, 0, 4, 4, 1, 3, 0, 0, 4, 1, 4, 0, 1, 4, 1, 1, 1, 0, 2, 1, 2, 2, 3, 3, 0, 4, 2, 2, 2, 4, 0, 0, 4, 2, 2, 4, 4, 3, 1, 2, 4, 1, 0, 3, 3, 0, 3, 2, 3, 2, 4, 0, 1, 4, 2, 4, 2, 3, 0, 1, 4, 1, 4, 4] pubkeycol1113 = [0, 3, 3, 3, 1, 2, 0, 2, 4, 2, 2, 3, 1, 4, 2, 0, 4, 3, 2, 1, 1, 4, 3, 3, 2, 3, 0, 4, 4, 3, 0, 1, 2, 0, 3, 0, 4, 1, 3, 4, 3, 3, 1, 2, 0, 0, 2, 1, 4, 4, 1, 3, 4, 1, 1, 2, 2, 2, 0, 0, 3, 0, 1, 0, 3, 2, 2, 0, 3, 3, 4, 3, 2, 4, 4, 1, 0, 2, 3, 2, 4, 4, 1, 1, 4, 3, 1, 2, 4, 3, 0, 1, 1, 2, 0, 0, 0, 4, 2, 4, 2, 1, 4, 3, 0, 1, 1, 4, 1, 1, 4, 4, 2, 4, 1, 2, 0, 0, 3, 2, 3, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 4, 0, 3, 3, 0, 4, 2, 3, 1, 0, 1, 1, 1, 0, 3, 0, 3, 0, 0, 4, 1, 4, 4, 0, 3, 1, 0, 3, 2, 3, 3, 1, 2, 4, 4, 3, 3, 0, 0, 2, 1, 4, 1, 2, 0, 4, 1, 4, 4, 4, 4, 1, 0, 4, 3, 1, 3, 1, 2, 4, 0, 0, 2, 3, 3, 0, 1, 2, 3, 1, 2, 4, 4, 2, 1, 4, 3, 3, 3, 4, 3, 3, 1, 2, 3, 0, 4, 1, 4, 3, 2, 4, 1, 4, 1, 4, 2, 0, 1, 3, 4, 1, 3, 3, 1, 1, 3, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 4, 2, 4, 0, 0, 4, 3, 0, 3, 1, 1, 0, 2, 2, 2, 2, 3, 3, 4, 3, 0, 4, 4, 3, 0, 0, 0, 4, 4, 4, 2, 1, 0, 4, 2, 3, 3, 2, 3, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 3, 4, 2, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 2, 0, 3, 2, 3, 2, 2, 3, 2, 1, 3, 0, 3, 1, 3, 4, 3, 4, 2, 4, 2, 2, 2, 3, 4, 1, 4, 2, 4, 3, 0, 3, 4, 0, 3, 3, 4, 1, 0, 4, 3, 2, 4, 1, 4, 2, 3, 2, 1, 3, 0, 0, 3, 1, 2, 1, 1, 4, 3, 2, 3, 0, 4, 4, 2, 3, 1, 1, 2, 0, 1, 1, 4, 4, 3, 2, 0, 4, 2, 0, 3, 2, 2, 4, 4, 0, 2] pubkeycol1114 = [2, 2, 2, 3, 2, 3, 3, 1, 4, 0, 0, 2, 3, 4, 2, 1, 2, 0, 3, 2, 2, 0, 2, 3, 1, 3, 1, 1, 2, 1, 4, 3, 4, 0, 4, 2, 3, 2, 1, 1, 0, 2, 4, 2, 0, 1, 4, 0, 1, 2, 1, 4, 2, 4, 1, 0, 0, 4, 2, 4, 4, 4, 0, 4, 4, 4, 2, 3, 1, 0, 2, 0, 2, 0, 3, 4, 2, 3, 3, 2, 2, 0, 3, 3, 0, 3, 1, 3, 1, 3, 2, 0, 0, 3, 3, 4, 0, 4, 1, 3, 4, 2, 0, 1, 2, 2, 4, 4, 3, 0, 0, 3, 1, 4, 3, 4, 0, 1, 3, 1, 1, 1, 0, 3, 0, 0, 2, 0, 0, 0, 2, 3, 3, 0, 3, 0, 1, 2, 1, 4, 1, 1, 4, 0, 2, 0, 1, 2, 2, 4, 1, 0, 4, 1, 1, 2, 1, 3, 2, 2, 0, 0, 1, 2, 1, 3, 3, 3, 1, 2, 4, 3, 1, 4, 3, 0, 1, 0, 1, 4, 2, 0, 1, 1, 3, 2, 1, 3, 3, 0, 4, 4, 2, 1, 4, 2, 2, 2, 1, 0, 4, 3, 4, 3, 1, 1, 3, 1, 2, 4, 2, 1, 0, 2, 0, 4, 0, 4, 2, 0, 1, 2, 3, 4, 2, 3, 4, 0, 3, 2, 0, 0, 1, 3, 0, 3, 0, 3, 4, 4, 2, 3, 1, 3, 0, 4, 3, 4, 0, 0, 4, 2, 0, 1, 2, 1, 1, 4, 0, 2, 2, 2, 1, 1, 2, 4, 3, 1, 4, 4, 2, 0, 3, 2, 1, 0, 1, 4, 1, 0, 2, 3, 1, 1, 0, 1, 1, 3, 1, 2, 0, 2, 3, 4, 0, 2, 0, 1, 3, 2, 2, 0, 1, 3, 4, 3, 1, 2, 2, 3, 0, 2, 4, 3, 1, 1, 4, 2, 4, 1, 4, 3, 1, 1, 3, 1, 2, 2, 2, 2, 1, 0, 2, 4, 3, 2, 0, 1, 1, 0, 1, 4, 1, 4, 4, 2, 0, 3, 0, 1, 3, 4, 4, 2, 0, 1, 1, 4, 2, 3, 1, 1, 4, 3, 1, 3, 0, 2, 1, 1, 3, 1, 4, 0, 4, 0, 3, 2, 2, 0, 4, 2, 3, 3, 2, 2, 3, 1, 0, 0, 1, 0, 0, 3, 1, 2, 1, 4, 4, 4] pubkeycol1115 = [3, 2, 1, 2, 0, 3, 2, 4, 3, 2, 2, 2, 3, 2, 4, 1, 3, 3, 0, 3, 4, 4, 1, 3, 1, 1, 4, 1, 3, 4, 4, 4, 0, 1, 1, 4, 1, 2, 1, 1, 4, 2, 3, 4, 3, 1, 1, 4, 2, 0, 4, 1, 4, 4, 1, 3, 3, 2, 4, 2, 4, 0, 0, 3, 4, 2, 4, 4, 3, 4, 4, 3, 3, 0, 3, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 2, 3, 3, 3, 1, 2, 1, 4, 1, 1, 4, 3, 3, 0, 2, 4, 0, 1, 3, 1, 2, 4, 1, 3, 3, 0, 2, 2, 0, 0, 3, 0, 3, 0, 2, 3, 3, 1, 2, 3, 2, 1, 0, 1, 2, 3, 3, 1, 4, 2, 3, 2, 2, 1, 3, 0, 1, 2, 2, 1, 3, 2, 2, 1, 3, 4, 4, 4, 2, 3, 3, 0, 0, 3, 4, 0, 4, 3, 3, 3, 3, 2, 4, 3, 2, 1, 2, 1, 3, 0, 3, 1, 1, 1, 4, 4, 0, 2, 1, 0, 3, 2, 2, 4, 3, 3, 2, 0, 4, 3, 2, 4, 0, 1, 3, 0, 1, 3, 1, 4, 2, 0, 2, 2, 3, 4, 0, 0, 0, 4, 4, 4, 3, 0, 2, 1, 0, 1, 2, 1, 0, 4, 3, 3, 3, 0, 3, 1, 3, 2, 0, 0, 3, 4, 1, 2, 3, 3, 3, 3, 0, 2, 2, 3, 0, 1, 1, 1, 3, 0, 2, 0, 3, 2, 3, 1, 1, 0, 3, 3, 2, 3, 1, 0, 0, 3, 1, 0, 1, 0, 4, 2, 4, 2, 2, 4, 4, 2, 0, 2, 3, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 3, 2, 0, 3, 2, 3, 1, 0, 4, 3, 2, 0, 3, 0, 3, 3, 2, 1, 1, 4, 4, 1, 4, 3, 2, 2, 2, 4, 3, 2, 2, 3, 0, 2, 4, 1, 4, 2, 4, 1, 3, 4, 0, 4, 4, 3, 4, 2, 0, 4, 4, 2, 1, 4, 4, 0, 4, 2, 2, 1, 1, 1, 3, 0, 2, 3, 1, 3, 3, 3, 0, 3, 2, 4, 3, 4, 2, 4, 4, 2, 3, 2, 3, 2, 0, 4, 2, 2, 0, 1, 4, 4, 3, 2, 2, 4, 2, 3, 4, 1, 1] pubkeycol1116 = [3, 2, 3, 2, 1, 3, 1, 0, 2, 2, 3, 1, 2, 4, 4, 0, 2, 1, 4, 3, 1, 3, 0, 4, 3, 4, 2, 1, 1, 3, 2, 1, 1, 4, 1, 1, 4, 3, 3, 4, 0, 4, 0, 0, 3, 3, 2, 1, 0, 4, 2, 2, 2, 1, 3, 0, 2, 0, 0, 3, 3, 1, 2, 1, 4, 4, 3, 4, 3, 2, 3, 0, 0, 3, 0, 3, 3, 3, 1, 3, 1, 2, 2, 2, 3, 0, 4, 2, 0, 1, 0, 1, 3, 2, 2, 3, 2, 2, 4, 4, 2, 1, 4, 3, 3, 0, 2, 2, 4, 1, 1, 3, 3, 3, 1, 2, 0, 3, 2, 1, 1, 3, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 3, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 3, 2, 4, 3, 4, 0, 1, 2, 2, 0, 2, 2, 2, 3, 3, 3, 2, 0, 3, 0, 3, 1, 0, 2, 2, 4, 2, 3, 4, 2, 4, 0, 0, 0, 1, 4, 1, 4, 4, 1, 0, 2, 2, 4, 2, 2, 1, 2, 4, 3, 4, 1, 3, 4, 0, 3, 4, 1, 4, 2, 0, 1, 0, 2, 4, 3, 2, 3, 0, 4, 3, 0, 3, 2, 1, 4, 1, 4, 0, 3, 1, 1, 2, 4, 3, 2, 1, 0, 0, 4, 1, 0, 2, 2, 0, 4, 3, 3, 1, 4, 3, 1, 1, 1, 2, 2, 4, 4, 4, 2, 2, 4, 4, 2, 0, 2, 0, 0, 1, 0, 4, 0, 1, 1, 1, 4, 0, 3, 3, 1, 1, 4, 2, 4, 3, 2, 3, 4, 0, 1, 4, 3, 0, 2, 0, 2, 0, 2, 0, 1, 4, 3, 0, 0, 0, 2, 4, 2, 1, 0, 3, 2, 1, 1, 0, 4, 2, 3, 0, 3, 1, 3, 3, 2, 2, 2, 2, 0, 4, 0, 4, 4, 1, 4, 0, 0, 1, 4, 0, 2, 0, 4, 4, 2, 4, 4, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 4, 3, 3, 0, 1, 3, 0, 3, 2, 4, 4, 1, 1, 2, 4, 2, 3, 2, 4, 2, 4, 2, 0, 4, 3, 3, 2, 4, 2, 0, 3, 3, 4, 0, 1, 1, 0, 1, 3, 2, 0, 0, 1, 2, 1, 3, 2] pubkeycol1117 = [2, 0, 2, 4, 2, 1, 2, 1, 0, 2, 0, 2, 4, 0, 0, 0, 4, 3, 2, 2, 1, 2, 1, 3, 4, 3, 0, 4, 1, 3, 1, 0, 4, 2, 1, 4, 4, 4, 1, 1, 3, 4, 1, 2, 2, 0, 3, 4, 4, 1, 2, 1, 4, 0, 4, 4, 4, 2, 3, 1, 1, 1, 4, 4, 0, 2, 4, 0, 2, 1, 0, 2, 4, 4, 1, 2, 1, 2, 4, 1, 1, 2, 1, 1, 3, 0, 2, 3, 2, 0, 1, 3, 1, 1, 1, 3, 1, 0, 2, 4, 2, 4, 1, 1, 4, 0, 0, 2, 1, 4, 4, 1, 4, 0, 1, 4, 3, 2, 4, 1, 2, 3, 1, 4, 2, 1, 4, 2, 2, 0, 1, 4, 0, 0, 2, 2, 1, 0, 0, 1, 3, 3, 4, 4, 0, 4, 1, 2, 3, 3, 3, 3, 1, 0, 4, 3, 4, 3, 4, 1, 3, 2, 0, 1, 2, 0, 0, 0, 3, 0, 2, 0, 3, 4, 4, 0, 0, 3, 4, 1, 2, 2, 2, 0, 4, 1, 3, 4, 2, 2, 3, 3, 4, 2, 0, 2, 3, 1, 0, 0, 4, 3, 1, 1, 2, 2, 0, 3, 2, 4, 3, 4, 4, 3, 4, 2, 1, 2, 1, 4, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 4, 1, 0, 4, 1, 0, 2, 1, 1, 4, 3, 4, 4, 1, 0, 0, 3, 1, 4, 3, 4, 3, 3, 4, 3, 3, 4, 1, 0, 3, 0, 2, 1, 3, 1, 1, 0, 1, 4, 4, 0, 0, 0, 0, 3, 4, 4, 2, 2, 3, 4, 2, 1, 2, 1, 1, 2, 1, 0, 4, 4, 0, 3, 3, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 3, 1, 1, 3, 2, 4, 0, 4, 4, 0, 1, 0, 2, 2, 4, 0, 0, 4, 0, 4, 2, 4, 1, 1, 4, 3, 1, 4, 0, 0, 2, 3, 4, 4, 0, 2, 2, 1, 2, 2, 3, 0, 0, 4, 0, 0, 3, 3, 1, 0, 0, 2, 4, 3, 3, 4, 1, 2, 2, 2, 4, 3, 3, 2, 1, 1, 1, 3, 3, 2, 2, 0, 3, 1, 1, 4, 0, 4, 3, 2, 0, 2, 1, 1, 4, 0, 3, 2, 0, 4, 3, 3, 3, 3] pubkeycol1118 = [3, 2, 1, 2, 0, 3, 3, 4, 0, 4, 1, 2, 0, 3, 1, 1, 2, 0, 0, 3, 3, 2, 2, 1, 4, 3, 0, 3, 1, 4, 1, 4, 2, 3, 2, 4, 2, 2, 1, 3, 0, 1, 4, 0, 2, 1, 0, 3, 3, 3, 4, 0, 3, 1, 4, 3, 4, 0, 2, 3, 1, 1, 4, 0, 2, 4, 0, 1, 0, 0, 0, 0, 2, 2, 0, 4, 2, 1, 3, 0, 3, 1, 0, 2, 2, 0, 2, 0, 1, 0, 3, 3, 4, 2, 0, 1, 2, 1, 3, 1, 1, 0, 3, 4, 4, 1, 2, 0, 1, 4, 0, 0, 1, 4, 4, 1, 4, 2, 2, 2, 4, 2, 4, 2, 3, 4, 2, 1, 4, 4, 3, 1, 2, 0, 1, 4, 0, 0, 2, 0, 4, 0, 0, 1, 2, 2, 4, 4, 3, 0, 0, 4, 4, 0, 3, 4, 0, 4, 2, 3, 1, 4, 2, 4, 1, 1, 4, 0, 1, 4, 2, 3, 0, 0, 2, 4, 3, 2, 1, 4, 1, 1, 2, 2, 2, 1, 3, 4, 4, 1, 4, 0, 3, 4, 2, 1, 3, 0, 2, 0, 4, 1, 1, 1, 4, 1, 0, 0, 4, 4, 2, 3, 0, 0, 2, 2, 1, 1, 2, 3, 4, 3, 3, 1, 0, 1, 3, 1, 0, 1, 4, 2, 4, 1, 3, 3, 0, 4, 0, 2, 3, 0, 0, 3, 1, 1, 4, 4, 0, 3, 4, 0, 3, 1, 3, 2, 1, 0, 2, 0, 0, 2, 2, 3, 3, 2, 4, 3, 4, 0, 0, 4, 3, 2, 2, 0, 2, 1, 4, 3, 1, 1, 4, 4, 4, 3, 3, 0, 4, 0, 2, 0, 4, 0, 0, 0, 0, 1, 4, 0, 2, 0, 3, 2, 4, 1, 2, 0, 1, 1, 3, 3, 4, 2, 3, 1, 1, 0, 2, 2, 2, 1, 3, 3, 3, 2, 4, 2, 2, 2, 1, 3, 3, 3, 4, 1, 1, 2, 0, 0, 2, 4, 2, 3, 3, 2, 3, 3, 3, 4, 1, 4, 1, 1, 0, 0, 2, 0, 0, 4, 4, 0, 0, 1, 0, 4, 4, 0, 2, 2, 4, 0, 1, 4, 0, 2, 3, 2, 0, 3, 4, 0, 2, 1, 0, 4, 0, 0, 1, 3, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol1119 = [2, 1, 1, 4, 3, 0, 1, 2, 1, 4, 0, 1, 4, 4, 1, 1, 2, 1, 2, 1, 0, 2, 0, 3, 3, 4, 1, 4, 3, 0, 0, 2, 2, 2, 0, 0, 0, 0, 3, 1, 3, 4, 3, 1, 4, 3, 4, 3, 3, 4, 3, 0, 2, 1, 3, 2, 4, 2, 4, 2, 4, 3, 2, 1, 2, 0, 0, 2, 1, 0, 3, 3, 0, 3, 3, 3, 0, 4, 4, 4, 2, 1, 2, 0, 2, 3, 0, 3, 1, 1, 4, 3, 4, 4, 0, 2, 4, 3, 0, 0, 4, 2, 1, 1, 2, 3, 0, 1, 0, 1, 1, 4, 2, 3, 2, 2, 2, 3, 3, 0, 2, 4, 4, 4, 1, 4, 0, 3, 4, 2, 2, 4, 0, 2, 4, 1, 3, 1, 2, 3, 4, 0, 2, 4, 1, 1, 2, 3, 1, 4, 4, 1, 1, 1, 0, 2, 4, 0, 3, 4, 4, 2, 1, 0, 1, 4, 0, 0, 1, 0, 2, 1, 3, 4, 1, 1, 1, 2, 2, 2, 0, 3, 0, 3, 3, 3, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 4, 1, 0, 4, 2, 4, 2, 3, 1, 2, 4, 2, 4, 2, 0, 4, 2, 2, 2, 4, 2, 3, 4, 0, 3, 4, 1, 2, 2, 3, 3, 3, 1, 4, 3, 3, 4, 2, 1, 3, 3, 0, 1, 1, 3, 1, 0, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 0, 0, 3, 4, 2, 0, 0, 3, 4, 0, 0, 2, 1, 2, 1, 0, 4, 2, 4, 4, 2, 4, 2, 0, 2, 2, 0, 0, 2, 1, 4, 0, 3, 3, 1, 2, 1, 4, 0, 4, 4, 3, 0, 0, 1, 1, 1, 2, 4, 0, 3, 3, 1, 1, 0, 4, 0, 0, 4, 2, 1, 4, 4, 4, 4, 2, 0, 2, 1, 2, 4, 0, 1, 4, 4, 1, 0, 1, 4, 2, 2, 0, 0, 3, 1, 3, 1, 2, 3, 2, 0, 2, 4, 3, 3, 2, 0, 1, 1, 1, 1, 3, 2, 1, 0, 2, 0, 1, 0, 1, 3, 1, 3, 0, 1, 1, 2, 4, 2, 2, 4, 2, 3, 1, 0, 2, 0, 3, 1, 0, 4, 1, 0, 0, 3, 2, 1, 2, 3, 2, 4] pubkeycol1120 = [2, 3, 3, 1, 2, 1, 0, 1, 2, 2, 0, 4, 4, 1, 3, 2, 0, 3, 1, 0, 4, 4, 4, 2, 0, 1, 1, 1, 4, 4, 0, 4, 2, 0, 1, 2, 3, 1, 4, 3, 2, 2, 4, 1, 1, 2, 1, 1, 3, 4, 4, 1, 1, 2, 0, 3, 2, 2, 2, 0, 3, 2, 4, 3, 3, 0, 1, 3, 3, 0, 2, 4, 0, 1, 0, 1, 3, 4, 3, 3, 4, 0, 3, 1, 0, 0, 0, 0, 3, 2, 4, 1, 3, 2, 4, 2, 1, 0, 4, 3, 0, 3, 0, 1, 1, 2, 3, 2, 4, 1, 3, 1, 0, 1, 4, 1, 3, 0, 1, 3, 2, 1, 0, 0, 2, 1, 4, 1, 2, 3, 4, 0, 4, 3, 2, 3, 0, 4, 2, 4, 4, 3, 4, 2, 0, 0, 4, 0, 2, 2, 0, 0, 3, 3, 2, 1, 2, 4, 4, 2, 0, 4, 2, 0, 2, 2, 3, 4, 4, 0, 2, 1, 1, 0, 0, 1, 4, 0, 3, 1, 1, 2, 2, 1, 4, 2, 0, 3, 4, 3, 3, 4, 0, 1, 1, 2, 0, 2, 1, 4, 2, 3, 3, 1, 3, 0, 3, 2, 1, 2, 0, 3, 3, 0, 4, 1, 0, 1, 0, 0, 1, 1, 4, 1, 2, 2, 4, 0, 3, 2, 3, 3, 2, 4, 0, 1, 2, 4, 1, 0, 0, 4, 2, 0, 3, 4, 4, 1, 1, 4, 0, 1, 1, 0, 2, 3, 3, 1, 1, 4, 0, 1, 1, 1, 1, 4, 2, 0, 3, 1, 4, 3, 0, 0, 1, 0, 3, 3, 2, 3, 2, 4, 2, 2, 0, 3, 0, 3, 4, 0, 3, 4, 3, 3, 3, 3, 0, 1, 1, 3, 3, 4, 0, 3, 4, 1, 2, 4, 2, 4, 3, 2, 0, 0, 1, 3, 1, 0, 2, 0, 2, 0, 1, 1, 0, 3, 3, 0, 3, 2, 1, 0, 0, 3, 4, 0, 2, 4, 4, 4, 1, 1, 4, 2, 1, 3, 4, 4, 2, 4, 2, 4, 3, 1, 2, 2, 3, 2, 1, 0, 1, 2, 3, 3, 2, 2, 3, 3, 1, 4, 0, 1, 1, 3, 1, 3, 2, 2, 0, 4, 4, 4, 1, 2, 2, 3, 3, 1, 1, 3, 2, 1, 0, 4, 1, 0, 2, 1, 0, 3] pubkeycol1121 = [1, 0, 3, 1, 1, 1, 2, 0, 2, 0, 1, 3, 1, 2, 0, 4, 1, 1, 0, 1, 0, 0, 4, 4, 2, 0, 0, 4, 0, 1, 4, 4, 3, 0, 0, 4, 0, 3, 2, 0, 3, 3, 4, 1, 3, 4, 2, 2, 4, 4, 2, 4, 1, 1, 2, 3, 1, 2, 3, 0, 2, 4, 4, 3, 3, 4, 2, 3, 0, 2, 1, 4, 0, 2, 1, 4, 4, 4, 4, 4, 1, 4, 1, 0, 0, 0, 2, 0, 3, 4, 1, 2, 1, 0, 4, 4, 4, 2, 1, 3, 0, 2, 4, 0, 0, 2, 1, 1, 0, 0, 3, 1, 0, 1, 2, 0, 1, 2, 1, 3, 4, 3, 1, 1, 2, 1, 0, 2, 1, 1, 2, 4, 0, 1, 4, 0, 4, 4, 3, 0, 1, 3, 0, 0, 0, 1, 2, 1, 2, 4, 0, 2, 4, 0, 3, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 3, 0, 2, 1, 3, 2, 0, 0, 4, 2, 1, 1, 1, 2, 4, 4, 0, 2, 3, 1, 2, 3, 1, 0, 0, 4, 0, 3, 4, 0, 2, 3, 0, 3, 0, 0, 2, 3, 2, 3, 0, 1, 3, 2, 1, 3, 2, 1, 3, 0, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 1, 2, 1, 0, 3, 1, 2, 0, 2, 3, 3, 4, 2, 1, 2, 2, 1, 4, 3, 4, 3, 2, 3, 2, 3, 1, 0, 3, 0, 0, 1, 2, 3, 2, 0, 3, 2, 0, 3, 3, 0, 1, 3, 3, 4, 0, 4, 4, 4, 3, 3, 1, 0, 2, 1, 0, 0, 2, 3, 0, 0, 2, 1, 3, 4, 2, 4, 0, 1, 1, 1, 3, 4, 3, 2, 0, 3, 4, 0, 0, 0, 3, 2, 0, 0, 4, 3, 1, 0, 2, 3, 3, 1, 3, 4, 4, 4, 1, 3, 1, 1, 2, 3, 2, 3, 3, 3, 1, 4, 1, 3, 0, 1, 4, 2, 1, 3, 4, 4, 2, 4, 3, 4, 0, 4, 1, 1, 3, 1, 0, 1, 1, 0, 2, 3, 3, 0, 4, 2, 1, 4, 4, 2, 2, 3, 4, 3, 2, 3, 0, 1, 1, 1, 0, 4, 4, 3, 2, 0, 3, 2, 0, 1, 1, 1, 3, 2, 0, 0, 4, 4] pubkeycol1122 = [1, 1, 1, 4, 0, 1, 3, 0, 3, 1, 0, 4, 0, 4, 1, 4, 1, 0, 0, 0, 4, 0, 0, 4, 2, 0, 1, 1, 1, 4, 2, 2, 4, 3, 1, 1, 2, 3, 4, 1, 0, 2, 1, 4, 2, 3, 3, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 4, 1, 4, 1, 0, 0, 2, 3, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 3, 2, 4, 4, 4, 3, 2, 3, 0, 4, 0, 1, 2, 3, 0, 0, 4, 0, 1, 1, 0, 2, 2, 4, 4, 1, 1, 4, 1, 2, 2, 4, 1, 3, 0, 2, 0, 4, 4, 4, 3, 4, 3, 2, 2, 3, 1, 2, 3, 1, 1, 2, 4, 2, 0, 3, 1, 3, 0, 4, 4, 0, 4, 2, 3, 0, 0, 4, 0, 0, 4, 1, 2, 4, 2, 1, 3, 2, 2, 1, 0, 1, 1, 1, 0, 4, 0, 4, 1, 0, 2, 1, 0, 1, 1, 4, 4, 0, 2, 1, 1, 0, 1, 3, 0, 0, 0, 4, 4, 2, 4, 3, 2, 1, 4, 2, 0, 0, 0, 4, 1, 4, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 3, 2, 0, 3, 2, 1, 3, 3, 1, 1, 3, 3, 0, 4, 3, 2, 1, 0, 3, 0, 1, 3, 3, 3, 1, 4, 1, 2, 0, 0, 2, 1, 2, 1, 4, 4, 2, 1, 2, 1, 4, 1, 1, 1, 1, 2, 1, 3, 4, 0, 1, 3, 3, 0, 3, 1, 1, 0, 3, 1, 0, 3, 2, 2, 4, 1, 4, 1, 4, 4, 0, 3, 2, 4, 0, 2, 3, 0, 3, 0, 4, 4, 2, 4, 0, 3, 2, 2, 4, 0, 4, 0, 2, 1, 3, 3, 1, 1, 1, 4, 4, 3, 2, 0, 4, 0, 3, 0, 3, 2, 2, 4, 4, 1, 4, 0, 4, 0, 1, 3, 2, 4, 4, 1, 0, 1, 0, 2, 2, 0, 0, 0, 4, 4, 2, 3, 0, 2, 2, 4, 2, 0, 3, 4, 2, 2, 1, 3, 2, 3, 3, 2, 2, 3, 4, 2, 2, 1, 4, 0, 1, 3, 1, 1, 4, 1, 4, 4, 3, 0, 4, 3, 2, 3, 2, 1, 1, 1, 0, 3, 2, 3, 1, 2, 0, 4, 4, 4, 4, 4] pubkeycol1123 = [2, 1, 1, 0, 0, 3, 3, 3, 4, 1, 1, 4, 4, 4, 0, 3, 3, 4, 4, 4, 1, 3, 0, 4, 3, 4, 1, 4, 3, 2, 1, 2, 2, 1, 2, 4, 4, 4, 2, 4, 0, 3, 1, 4, 4, 0, 2, 1, 3, 4, 1, 3, 1, 2, 4, 2, 4, 4, 4, 3, 3, 4, 4, 0, 1, 3, 3, 3, 2, 3, 3, 4, 0, 2, 1, 1, 3, 2, 0, 3, 4, 2, 1, 2, 3, 1, 1, 2, 2, 0, 1, 3, 0, 1, 1, 2, 1, 3, 2, 0, 2, 1, 2, 0, 1, 4, 1, 2, 2, 3, 4, 2, 4, 4, 4, 1, 1, 2, 4, 1, 2, 0, 0, 1, 4, 0, 1, 0, 3, 1, 2, 3, 3, 0, 4, 1, 4, 3, 2, 0, 1, 1, 0, 2, 2, 1, 1, 4, 0, 0, 2, 1, 0, 3, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 4, 0, 4, 0, 1, 2, 3, 2, 4, 3, 4, 4, 0, 3, 0, 4, 0, 3, 4, 3, 0, 0, 4, 2, 2, 3, 2, 2, 2, 2, 4, 1, 2, 2, 0, 1, 2, 4, 2, 0, 2, 1, 2, 3, 0, 4, 1, 3, 0, 3, 4, 2, 0, 2, 4, 3, 2, 2, 0, 3, 0, 4, 0, 3, 4, 0, 3, 4, 4, 4, 2, 0, 2, 2, 0, 1, 3, 2, 3, 4, 4, 1, 2, 0, 2, 3, 2, 1, 3, 2, 3, 3, 4, 2, 0, 1, 2, 2, 4, 3, 1, 3, 3, 1, 4, 1, 1, 0, 4, 3, 2, 4, 1, 3, 2, 2, 3, 0, 0, 3, 3, 1, 2, 3, 2, 2, 1, 1, 2, 4, 3, 0, 1, 0, 4, 2, 4, 4, 4, 2, 4, 3, 2, 3, 0, 0, 2, 2, 3, 2, 3, 1, 2, 1, 0, 0, 0, 4, 2, 3, 0, 0, 4, 0, 2, 4, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 4, 2, 2, 3, 4, 2, 1, 2, 1, 3, 0, 4, 3, 1, 0, 2, 2, 4, 1, 1, 2, 2, 3, 0, 0, 1, 3, 4, 4, 1, 1, 3, 2, 3, 1, 0, 1, 0, 1, 3, 4, 2, 0, 4, 2, 2, 1, 3, 2, 3, 4, 0, 3, 4, 3, 0, 1, 3] pubkeycol1124 = [1, 0, 3, 1, 4, 0, 1, 3, 2, 4, 1, 4, 3, 1, 3, 4, 2, 0, 2, 1, 3, 0, 1, 4, 4, 3, 0, 0, 4, 0, 2, 2, 4, 2, 1, 0, 0, 0, 1, 1, 0, 4, 4, 2, 0, 1, 1, 1, 1, 4, 3, 4, 2, 1, 3, 1, 3, 3, 3, 0, 2, 1, 2, 4, 4, 3, 3, 3, 4, 3, 2, 3, 1, 3, 0, 4, 2, 1, 2, 4, 1, 4, 4, 4, 4, 2, 0, 0, 3, 4, 2, 1, 1, 4, 2, 2, 0, 4, 2, 2, 4, 2, 2, 0, 1, 2, 0, 1, 2, 4, 3, 1, 0, 1, 3, 0, 2, 4, 4, 0, 0, 3, 3, 1, 4, 4, 2, 1, 2, 1, 3, 4, 3, 0, 2, 4, 3, 3, 2, 3, 4, 4, 2, 1, 2, 3, 0, 3, 0, 0, 4, 0, 1, 4, 2, 3, 4, 2, 3, 0, 3, 3, 1, 1, 4, 4, 2, 1, 0, 4, 2, 0, 3, 3, 4, 4, 1, 1, 2, 4, 1, 1, 2, 3, 1, 1, 2, 0, 2, 1, 0, 0, 0, 3, 4, 0, 2, 3, 2, 3, 4, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 4, 2, 2, 1, 3, 2, 3, 3, 4, 3, 0, 3, 0, 0, 2, 4, 1, 1, 4, 3, 3, 0, 4, 1, 2, 3, 2, 4, 3, 4, 4, 2, 2, 1, 4, 4, 2, 1, 4, 3, 3, 0, 0, 2, 3, 4, 1, 1, 1, 0, 0, 2, 4, 1, 0, 0, 4, 1, 1, 0, 4, 0, 3, 0, 4, 2, 3, 3, 0, 0, 3, 0, 3, 0, 3, 1, 4, 0, 2, 2, 2, 1, 0, 1, 4, 0, 3, 2, 1, 0, 3, 3, 2, 1, 0, 1, 0, 1, 0, 1, 0, 4, 0, 4, 1, 3, 4, 3, 4, 2, 3, 3, 1, 4, 3, 0, 1, 0, 2, 4, 2, 0, 4, 4, 3, 2, 1, 3, 4, 1, 1, 1, 4, 2, 4, 2, 0, 2, 0, 2, 4, 2, 4, 4, 4, 1, 0, 0, 2, 1, 3, 1, 0, 1, 0, 3, 2, 0, 2, 2, 2, 3, 0, 0, 1, 4, 4, 4, 3, 0, 2, 4, 3, 3, 0, 0, 4, 2, 2, 4, 0, 3, 4, 0, 2, 2, 3, 3] pubkeycol1125 = [4, 1, 2, 4, 2, 4, 4, 1, 3, 0, 2, 4, 1, 0, 2, 2, 4, 0, 2, 1, 1, 2, 3, 2, 2, 4, 3, 1, 1, 2, 4, 0, 0, 1, 4, 3, 0, 0, 1, 0, 2, 3, 3, 1, 2, 0, 4, 2, 4, 2, 3, 3, 3, 0, 1, 0, 0, 3, 2, 0, 4, 3, 2, 1, 3, 0, 2, 3, 3, 3, 2, 2, 0, 1, 1, 3, 4, 3, 0, 0, 1, 1, 4, 2, 0, 3, 2, 3, 3, 4, 3, 1, 1, 0, 3, 1, 0, 3, 2, 3, 0, 1, 1, 4, 4, 4, 0, 1, 4, 1, 0, 1, 4, 0, 0, 2, 4, 2, 1, 1, 0, 3, 2, 2, 3, 2, 3, 3, 0, 2, 1, 1, 3, 1, 3, 2, 3, 4, 4, 0, 2, 0, 0, 4, 2, 1, 0, 3, 1, 0, 4, 2, 0, 0, 3, 1, 0, 3, 4, 2, 1, 0, 1, 0, 3, 4, 0, 4, 3, 2, 1, 2, 2, 4, 3, 3, 0, 0, 0, 0, 0, 1, 3, 0, 4, 1, 2, 0, 4, 3, 3, 0, 4, 3, 1, 3, 2, 0, 3, 3, 2, 3, 3, 4, 0, 4, 4, 1, 4, 4, 0, 4, 1, 0, 0, 4, 2, 3, 3, 1, 1, 0, 4, 0, 3, 3, 2, 2, 2, 2, 4, 1, 3, 4, 4, 1, 2, 0, 1, 3, 0, 4, 3, 4, 3, 1, 4, 0, 1, 1, 0, 0, 4, 1, 1, 4, 3, 2, 0, 1, 0, 0, 1, 4, 0, 4, 2, 1, 3, 0, 3, 4, 0, 4, 3, 1, 0, 1, 0, 1, 4, 1, 4, 2, 4, 4, 1, 0, 2, 2, 3, 1, 3, 4, 1, 4, 4, 1, 2, 0, 1, 4, 4, 1, 1, 4, 4, 3, 0, 0, 0, 4, 1, 2, 1, 3, 2, 3, 0, 1, 0, 1, 2, 0, 3, 0, 3, 1, 1, 2, 1, 3, 4, 4, 1, 1, 2, 2, 4, 4, 1, 1, 1, 4, 0, 4, 4, 3, 1, 0, 1, 3, 2, 2, 0, 2, 0, 2, 2, 1, 0, 4, 0, 4, 3, 1, 0, 4, 3, 1, 0, 0, 3, 0, 3, 4, 2, 4, 4, 0, 1, 0, 0, 1, 3, 4, 2, 0, 2, 3, 0, 0, 0, 2, 2, 3, 2, 0, 0, 2] pubkeycol1126 = [1, 2, 4, 4, 4, 2, 4, 2, 0, 2, 4, 2, 0, 0, 1, 0, 3, 2, 0, 1, 3, 1, 1, 4, 3, 3, 0, 2, 3, 4, 3, 0, 3, 0, 2, 0, 4, 3, 1, 0, 1, 4, 2, 4, 2, 2, 2, 3, 2, 0, 0, 4, 2, 4, 0, 1, 3, 4, 1, 1, 2, 2, 2, 1, 3, 3, 3, 0, 0, 0, 0, 2, 4, 0, 4, 4, 4, 0, 4, 3, 4, 4, 0, 1, 2, 4, 4, 2, 0, 0, 2, 4, 1, 0, 3, 4, 3, 4, 4, 2, 2, 4, 0, 3, 3, 0, 1, 4, 4, 3, 3, 3, 4, 1, 2, 3, 0, 2, 2, 4, 2, 3, 2, 3, 1, 1, 4, 3, 2, 3, 3, 4, 0, 3, 4, 4, 3, 3, 1, 1, 2, 4, 3, 2, 2, 2, 3, 2, 0, 4, 2, 0, 3, 2, 2, 4, 0, 3, 4, 1, 1, 1, 4, 1, 1, 0, 1, 3, 2, 4, 4, 2, 2, 3, 1, 1, 3, 0, 2, 1, 0, 2, 2, 0, 3, 3, 4, 2, 1, 1, 0, 4, 0, 1, 0, 3, 0, 0, 0, 4, 2, 1, 1, 1, 1, 4, 3, 2, 2, 2, 4, 4, 1, 2, 4, 1, 0, 4, 1, 3, 1, 3, 0, 2, 0, 2, 0, 2, 2, 4, 2, 4, 3, 2, 0, 4, 1, 0, 3, 4, 3, 0, 1, 1, 1, 3, 1, 4, 0, 3, 3, 2, 4, 1, 4, 2, 0, 4, 0, 2, 4, 4, 3, 1, 1, 2, 4, 1, 4, 3, 3, 4, 2, 2, 0, 4, 3, 4, 3, 1, 3, 3, 1, 1, 1, 2, 1, 0, 1, 3, 3, 0, 1, 2, 4, 4, 2, 4, 2, 3, 4, 1, 0, 4, 3, 4, 2, 3, 1, 0, 2, 3, 1, 2, 0, 1, 1, 2, 3, 1, 3, 1, 3, 1, 3, 3, 1, 2, 0, 2, 1, 4, 3, 1, 0, 4, 0, 4, 2, 1, 3, 4, 1, 1, 0, 2, 0, 4, 2, 3, 0, 1, 2, 0, 3, 2, 4, 0, 0, 4, 4, 0, 2, 3, 3, 3, 3, 1, 1, 1, 0, 3, 0, 1, 4, 3, 0, 2, 0, 1, 2, 3, 1, 0, 0, 0, 4, 2, 0, 0, 4, 4, 1, 4, 3, 3, 2, 4, 3, 3] pubkeycol1127 = [1, 2, 1, 0, 1, 0, 1, 3, 1, 1, 0, 4, 3, 4, 3, 0, 0, 0, 3, 0, 3, 2, 4, 3, 3, 4, 3, 4, 2, 2, 2, 1, 1, 1, 2, 0, 2, 4, 2, 3, 0, 2, 0, 1, 0, 3, 4, 2, 3, 4, 3, 3, 2, 3, 0, 3, 2, 3, 1, 2, 0, 1, 2, 0, 4, 1, 3, 0, 1, 1, 4, 2, 0, 3, 0, 1, 1, 0, 2, 4, 1, 4, 1, 4, 2, 0, 4, 2, 4, 4, 2, 1, 0, 1, 3, 1, 4, 4, 0, 0, 4, 1, 2, 3, 3, 0, 3, 2, 0, 1, 0, 0, 3, 4, 2, 4, 3, 4, 2, 2, 0, 3, 4, 1, 3, 4, 2, 0, 2, 1, 0, 1, 4, 0, 1, 0, 4, 1, 3, 3, 1, 4, 0, 3, 3, 3, 4, 2, 1, 0, 0, 4, 3, 2, 4, 0, 2, 0, 2, 0, 2, 4, 0, 2, 0, 3, 1, 0, 2, 3, 0, 4, 3, 0, 0, 3, 2, 2, 3, 0, 3, 2, 3, 2, 1, 1, 2, 2, 1, 3, 1, 4, 4, 2, 1, 3, 3, 0, 0, 1, 0, 4, 1, 3, 3, 4, 2, 1, 1, 4, 1, 3, 4, 0, 3, 1, 3, 2, 1, 2, 0, 0, 3, 1, 3, 4, 2, 3, 1, 2, 4, 3, 3, 3, 4, 3, 3, 2, 1, 2, 2, 0, 2, 2, 4, 4, 2, 3, 3, 1, 3, 1, 1, 4, 4, 2, 3, 3, 1, 2, 4, 4, 0, 0, 0, 4, 1, 1, 0, 0, 3, 3, 0, 0, 1, 0, 2, 0, 3, 1, 0, 0, 2, 4, 0, 3, 2, 3, 0, 2, 4, 4, 2, 3, 2, 4, 0, 3, 3, 0, 2, 2, 4, 2, 0, 1, 0, 0, 1, 0, 4, 2, 3, 3, 1, 2, 3, 3, 3, 3, 0, 3, 4, 2, 4, 0, 3, 3, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 4, 0, 4, 2, 1, 4, 0, 3, 2, 2, 0, 1, 4, 2, 0, 3, 2, 1, 4, 2, 2, 4, 1, 3, 3, 3, 3, 2, 2, 2, 0, 1, 1, 1, 1, 1, 3, 2, 2, 0, 4, 4, 2, 1, 2, 3, 0, 1, 1, 4, 3, 3, 2, 0, 3, 4, 2, 0, 2] pubkeycol1128 = [4, 2, 4, 1, 2, 0, 0, 1, 1, 0, 3, 0, 0, 0, 4, 0, 4, 2, 0, 4, 2, 4, 1, 4, 1, 1, 2, 0, 4, 0, 0, 2, 3, 2, 4, 1, 0, 0, 1, 0, 4, 0, 4, 4, 3, 0, 0, 1, 4, 2, 4, 2, 4, 1, 1, 1, 4, 0, 4, 2, 0, 2, 3, 2, 0, 2, 4, 2, 1, 4, 2, 4, 0, 1, 3, 1, 1, 2, 1, 4, 4, 0, 2, 1, 2, 1, 4, 2, 4, 3, 1, 3, 0, 2, 0, 3, 3, 2, 3, 3, 3, 2, 0, 4, 3, 1, 0, 2, 4, 3, 0, 3, 0, 0, 1, 1, 4, 0, 4, 0, 0, 3, 3, 1, 1, 0, 2, 2, 1, 4, 1, 4, 3, 3, 1, 3, 3, 0, 4, 0, 0, 0, 2, 0, 1, 1, 0, 4, 4, 1, 1, 3, 1, 4, 2, 1, 3, 4, 3, 2, 3, 4, 2, 2, 3, 2, 1, 1, 2, 4, 3, 2, 1, 0, 1, 1, 4, 2, 0, 0, 1, 3, 3, 1, 2, 0, 3, 4, 3, 2, 4, 3, 0, 2, 2, 4, 1, 1, 1, 4, 1, 3, 2, 3, 3, 1, 3, 3, 4, 0, 4, 2, 4, 3, 4, 0, 0, 4, 4, 0, 0, 4, 1, 4, 2, 1, 3, 1, 1, 2, 1, 0, 2, 0, 2, 3, 4, 0, 1, 0, 4, 0, 3, 2, 1, 1, 4, 3, 3, 3, 0, 1, 1, 2, 4, 3, 3, 1, 2, 2, 2, 2, 4, 2, 3, 2, 3, 3, 1, 2, 2, 0, 2, 2, 1, 2, 4, 3, 2, 1, 4, 3, 0, 0, 3, 1, 4, 3, 2, 2, 0, 0, 3, 1, 2, 1, 2, 0, 1, 3, 4, 0, 3, 2, 4, 4, 1, 0, 3, 4, 4, 3, 3, 2, 3, 3, 2, 0, 2, 0, 1, 3, 0, 0, 3, 0, 1, 0, 1, 0, 2, 3, 1, 0, 4, 1, 4, 4, 1, 4, 1, 3, 4, 2, 1, 2, 4, 1, 3, 0, 4, 0, 2, 1, 1, 3, 2, 0, 4, 1, 1, 1, 2, 2, 3, 0, 3, 3, 1, 4, 2, 4, 3, 1, 0, 2, 4, 2, 0, 3, 0, 2, 1, 2, 4, 1, 2, 3, 3, 1, 3, 0, 0, 3, 1, 4, 4, 1, 1, 2] pubkeycol1129 = [2, 0, 0, 1, 4, 2, 4, 3, 4, 1, 4, 3, 4, 2, 1, 4, 1, 3, 1, 4, 2, 2, 2, 3, 0, 3, 2, 3, 0, 3, 2, 3, 2, 3, 1, 1, 4, 1, 1, 2, 0, 3, 0, 2, 0, 2, 3, 1, 3, 3, 4, 4, 3, 0, 4, 4, 4, 3, 0, 0, 0, 0, 0, 0, 3, 4, 0, 2, 4, 4, 0, 1, 0, 1, 4, 0, 4, 0, 0, 3, 2, 2, 4, 3, 3, 4, 3, 1, 3, 2, 2, 3, 1, 4, 2, 2, 1, 4, 2, 2, 3, 1, 2, 1, 3, 1, 3, 1, 4, 0, 1, 1, 0, 1, 1, 0, 0, 3, 2, 1, 3, 4, 0, 3, 1, 4, 4, 4, 3, 2, 1, 2, 1, 4, 0, 2, 0, 4, 3, 1, 1, 4, 0, 3, 1, 0, 2, 4, 4, 4, 0, 4, 2, 0, 1, 1, 1, 3, 0, 4, 4, 3, 4, 4, 3, 0, 3, 2, 4, 0, 0, 0, 0, 2, 4, 0, 4, 0, 1, 2, 4, 0, 2, 0, 2, 3, 0, 2, 1, 0, 3, 2, 3, 0, 1, 3, 3, 0, 2, 4, 4, 0, 3, 3, 2, 4, 1, 0, 4, 0, 4, 1, 1, 3, 1, 4, 4, 3, 4, 4, 4, 4, 1, 4, 1, 1, 0, 1, 4, 1, 1, 4, 4, 0, 0, 1, 4, 4, 3, 1, 1, 2, 4, 3, 1, 1, 3, 2, 0, 2, 3, 0, 2, 3, 4, 0, 0, 4, 2, 1, 2, 0, 3, 0, 0, 0, 3, 4, 4, 0, 3, 4, 1, 3, 0, 1, 4, 0, 3, 4, 4, 2, 1, 1, 2, 3, 0, 1, 3, 4, 1, 3, 0, 3, 4, 2, 3, 0, 3, 4, 0, 3, 3, 1, 4, 2, 1, 3, 3, 1, 3, 4, 3, 1, 3, 0, 1, 1, 3, 0, 2, 3, 0, 0, 1, 2, 3, 1, 2, 4, 3, 4, 0, 2, 4, 1, 1, 3, 4, 2, 2, 2, 0, 0, 3, 0, 2, 4, 2, 0, 1, 4, 4, 0, 0, 4, 3, 1, 3, 4, 1, 3, 2, 0, 2, 2, 2, 2, 4, 4, 4, 0, 4, 4, 4, 2, 1, 4, 2, 2, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 0, 3, 4, 0, 2, 2, 0, 1, 4, 0] pubkeycol1130 = [1, 0, 1, 3, 2, 0, 3, 2, 1, 1, 2, 4, 0, 0, 4, 2, 0, 3, 3, 1, 3, 1, 4, 0, 0, 1, 0, 0, 3, 3, 4, 0, 4, 4, 1, 2, 4, 1, 1, 3, 1, 0, 3, 1, 1, 3, 3, 2, 4, 2, 3, 2, 1, 4, 4, 0, 3, 2, 3, 2, 3, 3, 4, 1, 0, 4, 0, 0, 2, 0, 4, 3, 3, 1, 3, 0, 4, 3, 4, 3, 2, 1, 2, 0, 2, 4, 2, 3, 1, 2, 0, 0, 3, 3, 0, 4, 2, 0, 3, 0, 2, 3, 2, 3, 0, 2, 4, 1, 1, 0, 4, 4, 4, 2, 0, 1, 1, 4, 1, 2, 2, 1, 1, 0, 0, 3, 0, 2, 2, 0, 4, 1, 0, 3, 1, 2, 1, 0, 2, 3, 2, 2, 0, 0, 3, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 3, 4, 0, 4, 4, 0, 3, 3, 0, 1, 4, 1, 3, 3, 4, 1, 1, 3, 4, 3, 2, 4, 1, 3, 2, 4, 4, 4, 0, 1, 3, 2, 0, 4, 1, 2, 4, 2, 1, 2, 1, 3, 3, 0, 4, 0, 0, 2, 2, 1, 3, 3, 4, 1, 4, 2, 3, 0, 4, 0, 4, 2, 2, 3, 1, 3, 1, 1, 2, 2, 4, 1, 0, 2, 3, 1, 0, 3, 0, 1, 2, 1, 1, 3, 3, 2, 3, 2, 2, 3, 0, 3, 4, 2, 1, 0, 2, 1, 0, 3, 1, 3, 2, 1, 0, 1, 4, 2, 1, 2, 2, 2, 1, 3, 4, 0, 4, 0, 4, 2, 2, 3, 3, 3, 2, 2, 3, 0, 1, 1, 1, 3, 2, 2, 0, 0, 3, 2, 1, 1, 1, 2, 3, 0, 3, 2, 1, 1, 2, 2, 2, 4, 1, 2, 3, 3, 2, 3, 2, 4, 4, 3, 2, 0, 2, 3, 0, 2, 1, 4, 4, 3, 3, 3, 3, 1, 0, 3, 3, 2, 1, 3, 4, 4, 0, 1, 0, 0, 4, 4, 4, 3, 2, 1, 4, 1, 1, 1, 3, 1, 0, 1, 3, 4, 4, 0, 4, 4, 4, 4, 0, 4, 2, 1, 2, 3, 0, 1, 4, 2, 1, 1, 4, 1, 0, 3, 3, 1, 4, 1, 4, 0, 0, 2, 4, 4, 3, 4, 1, 4, 3, 0, 0, 0] pubkeycol1131 = [4, 1, 3, 3, 2, 4, 4, 4, 0, 2, 1, 3, 0, 0, 3, 1, 3, 3, 3, 0, 4, 4, 3, 1, 0, 1, 0, 3, 3, 4, 4, 4, 1, 4, 0, 0, 3, 2, 2, 1, 0, 1, 3, 3, 3, 2, 3, 0, 0, 3, 0, 4, 1, 0, 0, 0, 1, 0, 4, 1, 3, 0, 0, 0, 4, 4, 0, 3, 1, 1, 3, 1, 3, 1, 2, 1, 3, 2, 0, 0, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 1, 1, 2, 3, 4, 0, 3, 4, 0, 4, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 2, 0, 2, 1, 1, 1, 2, 1, 0, 3, 3, 3, 1, 2, 4, 1, 2, 1, 2, 0, 4, 0, 1, 2, 3, 3, 0, 3, 4, 1, 4, 0, 3, 1, 3, 3, 2, 1, 0, 4, 4, 4, 0, 0, 1, 1, 1, 3, 4, 4, 4, 2, 1, 3, 2, 1, 0, 3, 0, 0, 2, 0, 0, 1, 1, 1, 1, 3, 0, 1, 3, 1, 2, 0, 4, 3, 3, 0, 4, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 3, 4, 0, 0, 2, 3, 1, 3, 4, 4, 1, 0, 4, 2, 3, 2, 0, 4, 2, 2, 1, 1, 2, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 3, 1, 0, 4, 3, 3, 1, 0, 0, 0, 1, 4, 4, 1, 1, 4, 4, 0, 1, 1, 4, 1, 2, 3, 3, 3, 1, 0, 3, 1, 2, 0, 4, 1, 1, 3, 1, 1, 1, 3, 1, 0, 2, 3, 1, 0, 3, 0, 4, 4, 4, 3, 2, 2, 3, 3, 3, 0, 3, 1, 0, 4, 2, 4, 4, 1, 4, 2, 3, 1, 0, 2, 3, 3, 3, 4, 1, 0, 3, 1, 4, 4, 1, 0, 3, 3, 0, 1, 1, 2, 2, 2, 1, 0, 4, 4, 2, 1, 3, 3, 0, 3, 3, 1, 0, 3, 1, 0, 2, 1, 1, 3, 4, 4, 0, 2, 1, 2, 4, 3, 3, 0, 4, 4, 3, 4, 4, 1, 3, 3, 2, 1, 1, 2, 3, 3, 0, 3, 4, 1, 2, 3, 2, 2, 2, 1, 3, 1, 2, 2, 3, 3, 2, 1, 0, 4, 1, 1, 3, 0, 0, 0] pubkeycol1132 = [0, 4, 1, 0, 1, 3, 4, 2, 2, 4, 3, 0, 2, 1, 0, 4, 0, 3, 0, 2, 1, 3, 0, 0, 3, 3, 4, 4, 2, 2, 3, 4, 1, 2, 3, 0, 0, 2, 0, 0, 0, 2, 2, 3, 4, 0, 3, 2, 1, 3, 4, 2, 3, 4, 1, 1, 4, 3, 2, 3, 4, 0, 4, 2, 4, 4, 0, 4, 4, 4, 2, 4, 2, 1, 1, 3, 0, 0, 1, 2, 4, 2, 2, 2, 1, 0, 0, 1, 4, 3, 3, 3, 2, 0, 1, 2, 3, 4, 2, 2, 4, 2, 2, 4, 1, 4, 4, 2, 4, 2, 3, 3, 4, 3, 4, 0, 2, 2, 2, 4, 0, 1, 0, 4, 2, 2, 1, 0, 4, 2, 1, 0, 2, 0, 2, 1, 1, 4, 1, 1, 2, 2, 0, 1, 3, 0, 4, 2, 4, 3, 3, 0, 2, 2, 3, 3, 1, 4, 0, 2, 2, 2, 0, 3, 1, 3, 2, 3, 3, 4, 0, 2, 1, 4, 4, 2, 4, 1, 1, 2, 4, 2, 4, 2, 0, 4, 4, 4, 4, 4, 3, 2, 3, 4, 2, 1, 1, 0, 4, 0, 4, 3, 0, 0, 4, 2, 2, 0, 4, 4, 1, 1, 1, 2, 4, 3, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 3, 0, 3, 0, 1, 3, 0, 1, 0, 4, 0, 4, 4, 0, 1, 4, 3, 1, 3, 3, 3, 1, 1, 2, 1, 3, 2, 1, 3, 4, 3, 1, 2, 3, 0, 4, 0, 3, 0, 4, 3, 1, 4, 1, 3, 3, 3, 3, 3, 2, 1, 4, 4, 3, 0, 3, 3, 0, 2, 2, 0, 0, 2, 0, 0, 4, 1, 2, 3, 2, 0, 1, 1, 1, 1, 4, 3, 3, 0, 0, 1, 0, 4, 3, 3, 2, 4, 3, 3, 4, 4, 0, 4, 0, 0, 2, 2, 0, 3, 0, 0, 3, 3, 1, 2, 1, 0, 4, 1, 3, 3, 1, 4, 0, 3, 4, 2, 4, 2, 3, 2, 1, 3, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 3, 4, 0, 0, 0, 4, 2, 2, 3, 1, 4, 2, 1, 2, 2, 0, 2, 4, 4, 2, 2, 4, 1, 3, 1, 0, 0, 4, 4, 4, 2, 0, 2, 3, 0, 3] pubkeycol1133 = [2, 2, 3, 4, 1, 3, 0, 0, 3, 0, 4, 4, 4, 4, 2, 1, 3, 1, 1, 1, 4, 3, 2, 2, 1, 2, 2, 2, 3, 3, 1, 3, 3, 1, 3, 4, 1, 0, 2, 4, 0, 2, 2, 4, 3, 0, 2, 1, 1, 3, 4, 2, 2, 0, 4, 1, 0, 3, 2, 0, 0, 0, 1, 1, 3, 4, 3, 1, 4, 2, 1, 4, 4, 2, 2, 0, 1, 4, 2, 0, 3, 4, 4, 3, 0, 3, 2, 3, 3, 0, 4, 2, 0, 0, 4, 4, 1, 1, 1, 3, 3, 4, 0, 1, 3, 2, 3, 3, 4, 2, 1, 0, 0, 3, 1, 2, 4, 4, 4, 2, 3, 2, 3, 3, 2, 0, 1, 4, 0, 0, 4, 3, 2, 3, 3, 2, 4, 1, 4, 4, 4, 3, 3, 0, 2, 2, 3, 2, 3, 2, 0, 3, 0, 0, 4, 3, 4, 1, 2, 4, 2, 3, 1, 0, 4, 4, 4, 0, 2, 0, 4, 2, 3, 1, 1, 1, 3, 1, 4, 1, 4, 3, 2, 4, 0, 4, 1, 3, 1, 0, 2, 1, 2, 4, 4, 3, 1, 2, 1, 0, 2, 4, 3, 3, 1, 2, 1, 1, 0, 0, 3, 0, 2, 1, 2, 4, 2, 4, 1, 0, 2, 4, 2, 2, 3, 1, 2, 0, 0, 4, 3, 4, 0, 0, 4, 4, 1, 2, 2, 3, 1, 3, 0, 0, 3, 0, 0, 3, 4, 4, 3, 1, 3, 3, 4, 3, 0, 0, 1, 4, 1, 1, 2, 1, 2, 0, 3, 1, 2, 2, 0, 4, 0, 1, 3, 0, 1, 0, 3, 3, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 0, 1, 4, 0, 2, 0, 4, 4, 3, 4, 4, 3, 1, 3, 3, 2, 2, 2, 1, 0, 3, 4, 3, 0, 4, 0, 3, 0, 3, 4, 4, 1, 1, 2, 3, 0, 2, 1, 3, 1, 2, 1, 4, 1, 3, 2, 3, 0, 4, 4, 2, 1, 0, 3, 4, 0, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 4, 4, 2, 3, 3, 3, 3, 4, 4, 0, 2, 0, 4, 4, 2, 1, 3, 3, 2, 4, 0, 2, 4, 1, 3, 4, 0, 2, 4, 2, 1, 2, 1, 1, 1, 4, 4, 4, 2, 1, 4, 1, 3] pubkeycol1134 = [2, 4, 2, 1, 3, 4, 1, 2, 1, 2, 4, 3, 3, 2, 2, 2, 4, 1, 1, 4, 4, 3, 1, 1, 1, 4, 1, 0, 4, 4, 2, 1, 2, 1, 2, 3, 4, 4, 2, 4, 0, 2, 1, 0, 4, 1, 4, 3, 2, 2, 3, 2, 1, 2, 1, 2, 4, 4, 2, 0, 2, 1, 4, 2, 2, 1, 3, 3, 3, 1, 2, 0, 2, 3, 4, 4, 0, 3, 3, 2, 2, 4, 3, 3, 4, 0, 4, 2, 0, 1, 0, 4, 2, 0, 2, 4, 1, 3, 0, 3, 4, 4, 4, 3, 3, 4, 3, 2, 1, 3, 1, 4, 3, 1, 4, 2, 0, 1, 0, 3, 4, 3, 3, 1, 2, 2, 4, 4, 4, 1, 0, 3, 0, 2, 2, 4, 3, 3, 0, 2, 1, 1, 1, 3, 4, 1, 1, 2, 1, 2, 1, 2, 0, 4, 4, 4, 3, 1, 0, 1, 3, 2, 3, 3, 1, 3, 0, 3, 2, 3, 4, 2, 3, 0, 3, 1, 0, 1, 4, 3, 0, 4, 2, 1, 3, 1, 4, 1, 1, 3, 1, 2, 2, 1, 3, 0, 0, 2, 4, 4, 2, 4, 1, 1, 2, 2, 0, 3, 0, 3, 2, 0, 0, 2, 0, 0, 0, 2, 4, 1, 0, 2, 0, 3, 2, 3, 2, 4, 0, 4, 0, 2, 1, 1, 3, 4, 2, 1, 1, 3, 3, 2, 4, 2, 0, 0, 1, 0, 3, 3, 4, 3, 0, 1, 0, 3, 1, 3, 0, 2, 1, 4, 1, 1, 1, 0, 3, 3, 2, 1, 2, 1, 0, 0, 0, 4, 4, 2, 3, 4, 1, 2, 3, 0, 4, 1, 0, 2, 0, 4, 2, 0, 3, 2, 1, 4, 1, 3, 4, 0, 2, 0, 4, 3, 2, 3, 1, 4, 2, 4, 2, 0, 4, 3, 3, 4, 4, 3, 4, 3, 0, 3, 4, 2, 0, 3, 0, 1, 1, 4, 4, 1, 4, 1, 1, 3, 0, 0, 0, 3, 2, 4, 4, 2, 1, 1, 3, 4, 4, 1, 3, 1, 2, 4, 1, 2, 0, 3, 0, 1, 0, 2, 1, 0, 3, 1, 0, 4, 0, 2, 3, 2, 4, 0, 4, 1, 1, 3, 4, 0, 2, 4, 3, 2, 3, 0, 1, 0, 2, 2, 0, 0, 2, 4, 4, 4, 4, 0, 3, 4] pubkeycol1135 = [3, 3, 2, 1, 4, 2, 0, 2, 2, 1, 3, 4, 4, 1, 0, 0, 3, 4, 3, 4, 3, 1, 4, 1, 2, 4, 1, 2, 1, 1, 3, 0, 1, 4, 1, 2, 0, 3, 3, 4, 1, 1, 1, 1, 3, 3, 0, 1, 3, 2, 3, 3, 1, 4, 2, 0, 4, 3, 1, 0, 4, 3, 0, 3, 2, 3, 0, 2, 3, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 4, 1, 4, 3, 3, 4, 1, 2, 2, 4, 0, 4, 2, 2, 3, 2, 4, 1, 4, 0, 3, 1, 0, 4, 3, 4, 4, 0, 0, 4, 0, 2, 4, 1, 0, 4, 2, 2, 3, 4, 4, 1, 0, 3, 3, 0, 4, 2, 4, 2, 2, 1, 3, 1, 0, 4, 3, 3, 4, 3, 1, 3, 1, 3, 2, 3, 3, 3, 1, 0, 0, 3, 3, 3, 3, 1, 4, 4, 2, 3, 1, 0, 3, 1, 1, 2, 1, 1, 2, 3, 0, 3, 1, 1, 1, 4, 0, 2, 0, 1, 1, 4, 3, 4, 3, 0, 2, 0, 1, 0, 2, 4, 1, 3, 1, 3, 0, 0, 3, 0, 0, 3, 0, 2, 2, 2, 3, 0, 0, 0, 3, 1, 1, 3, 3, 3, 3, 3, 4, 3, 1, 1, 0, 0, 0, 4, 3, 3, 0, 3, 3, 2, 4, 3, 0, 4, 2, 3, 2, 3, 3, 0, 2, 1, 0, 1, 0, 1, 0, 0, 3, 4, 2, 1, 4, 4, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 4, 1, 4, 1, 4, 3, 2, 0, 0, 3, 0, 1, 3, 0, 0, 1, 1, 0, 4, 1, 0, 2, 0, 0, 2, 1, 1, 1, 3, 2, 4, 1, 2, 4, 2, 3, 1, 0, 4, 3, 4, 1, 4, 0, 3, 0, 4, 4, 4, 1, 2, 3, 3, 0, 2, 1, 3, 1, 4, 2, 0, 2, 4, 4, 1, 0, 3, 2, 0, 1, 3, 4, 3, 3, 2, 4, 4, 1, 4, 0, 2, 0, 1, 2, 4, 4, 2, 0, 2, 0, 3, 1, 1, 0, 3, 0, 1, 0, 2, 1, 4, 0, 1, 3, 1, 4, 3, 4, 3, 1, 0, 3, 0, 4, 1, 4, 4, 3, 0, 2, 3, 2, 4, 3, 0, 3, 2, 3, 4, 3, 0, 4, 4, 2] pubkeycol1136 = [4, 3, 1, 1, 1, 4, 1, 2, 4, 0, 0, 2, 4, 3, 1, 1, 1, 3, 2, 0, 1, 4, 3, 4, 3, 2, 2, 0, 3, 3, 0, 0, 4, 4, 2, 4, 0, 3, 1, 2, 4, 4, 2, 3, 3, 2, 1, 2, 3, 2, 1, 4, 0, 3, 3, 4, 3, 4, 4, 1, 4, 2, 1, 2, 4, 2, 2, 1, 4, 1, 0, 2, 0, 0, 4, 3, 0, 1, 0, 3, 4, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 4, 4, 3, 0, 2, 0, 1, 2, 0, 0, 2, 3, 2, 2, 4, 0, 1, 1, 4, 3, 3, 4, 2, 3, 4, 3, 0, 2, 1, 2, 2, 0, 2, 3, 4, 2, 4, 4, 3, 0, 0, 4, 0, 2, 4, 2, 2, 2, 0, 0, 4, 3, 0, 4, 3, 4, 1, 0, 1, 4, 4, 1, 1, 2, 4, 2, 1, 3, 2, 4, 2, 4, 2, 0, 4, 1, 3, 1, 3, 3, 3, 2, 2, 1, 4, 4, 4, 4, 3, 1, 2, 4, 4, 4, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 3, 4, 4, 3, 3, 1, 1, 0, 4, 2, 1, 0, 4, 4, 4, 2, 3, 0, 3, 2, 2, 4, 0, 1, 0, 3, 4, 4, 2, 2, 2, 2, 3, 4, 0, 0, 2, 2, 0, 1, 2, 4, 3, 0, 4, 0, 0, 4, 4, 0, 3, 0, 4, 0, 3, 2, 4, 1, 3, 0, 4, 0, 3, 1, 0, 2, 0, 1, 4, 1, 0, 3, 4, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 3, 3, 4, 0, 4, 0, 2, 0, 2, 2, 0, 0, 2, 0, 3, 2, 0, 2, 0, 4, 4, 4, 2, 2, 0, 4, 0, 1, 4, 1, 4, 3, 0, 0, 4, 4, 3, 3, 2, 0, 3, 3, 2, 4, 0, 2, 1, 4, 1, 1, 0, 3, 2, 0, 3, 1, 0, 2, 0, 0, 3, 2, 3, 3, 4, 4, 1, 3, 4, 1, 0, 3, 2, 0, 2, 2, 0, 1, 4, 0, 3, 1, 0, 4, 2, 2, 2, 0, 4, 4, 1, 1, 3, 1, 2, 0, 4, 0, 4, 3, 2, 0, 4, 2, 0, 0, 2, 0, 3, 2, 1] pubkeycol1137 = [1, 1, 0, 4, 0, 2, 1, 3, 3, 4, 2, 2, 4, 2, 3, 0, 0, 1, 4, 3, 2, 0, 0, 4, 0, 4, 3, 1, 3, 2, 2, 3, 1, 3, 3, 3, 3, 1, 3, 1, 1, 1, 4, 3, 1, 2, 4, 3, 4, 1, 0, 4, 1, 4, 4, 2, 3, 0, 2, 1, 0, 0, 4, 4, 3, 2, 0, 3, 3, 1, 1, 1, 2, 4, 3, 1, 1, 3, 3, 2, 2, 3, 0, 0, 1, 4, 1, 3, 4, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 4, 1, 1, 4, 0, 1, 3, 1, 3, 4, 1, 2, 0, 0, 3, 0, 2, 4, 3, 1, 2, 3, 1, 2, 3, 1, 0, 3, 1, 1, 3, 3, 4, 0, 1, 0, 4, 0, 3, 0, 0, 0, 0, 4, 1, 0, 4, 0, 4, 4, 4, 3, 3, 2, 4, 4, 3, 0, 3, 2, 0, 1, 4, 2, 0, 0, 4, 4, 4, 2, 1, 4, 0, 4, 3, 0, 1, 0, 1, 3, 4, 4, 4, 3, 2, 4, 2, 0, 2, 2, 2, 3, 0, 3, 3, 2, 3, 2, 0, 2, 0, 1, 4, 3, 0, 4, 0, 3, 0, 0, 3, 1, 4, 2, 0, 2, 4, 3, 0, 1, 2, 2, 4, 3, 3, 2, 4, 3, 3, 2, 1, 1, 0, 4, 0, 0, 0, 4, 4, 3, 0, 1, 0, 0, 4, 1, 1, 4, 4, 2, 3, 1, 1, 4, 3, 1, 2, 4, 1, 0, 1, 3, 0, 3, 0, 2, 3, 1, 3, 1, 0, 0, 4, 1, 2, 4, 1, 2, 1, 2, 1, 1, 2, 2, 1, 4, 2, 3, 0, 1, 1, 2, 3, 3, 3, 0, 2, 3, 2, 3, 1, 1, 2, 3, 3, 0, 0, 1, 1, 0, 0, 4, 2, 2, 3, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 3, 4, 1, 4, 0, 0, 0, 3, 0, 3, 2, 2, 4, 2, 0, 4, 4, 3, 4, 2, 1, 0, 0, 1, 2, 3, 1, 2, 4, 4, 1, 0, 2, 3, 3, 1, 3, 0, 1, 1, 0, 4, 1, 4, 2, 1, 0, 1, 3, 2, 1, 2, 1, 1, 0, 0, 3, 4, 2, 4, 3, 1, 1, 3, 3, 0, 2, 2, 2, 2, 1, 1, 4, 0, 0] pubkeycol1138 = [1, 0, 1, 4, 0, 3, 1, 0, 1, 2, 0, 4, 0, 2, 0, 3, 2, 0, 4, 4, 1, 1, 4, 4, 1, 4, 4, 3, 0, 3, 3, 0, 4, 3, 2, 1, 0, 2, 4, 4, 4, 0, 2, 3, 3, 1, 1, 2, 1, 4, 2, 1, 4, 0, 0, 2, 1, 3, 3, 1, 1, 4, 0, 0, 0, 4, 4, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 4, 3, 2, 3, 0, 3, 2, 3, 4, 2, 4, 0, 2, 4, 3, 4, 3, 3, 1, 3, 1, 1, 4, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 4, 3, 0, 1, 3, 1, 3, 2, 4, 1, 3, 1, 3, 4, 0, 4, 4, 0, 2, 2, 2, 3, 4, 2, 2, 0, 4, 1, 3, 2, 4, 2, 1, 3, 0, 0, 4, 1, 1, 2, 2, 2, 0, 2, 4, 1, 0, 4, 2, 1, 2, 1, 3, 4, 0, 2, 4, 0, 3, 0, 4, 0, 2, 3, 4, 1, 4, 1, 1, 0, 3, 1, 0, 4, 0, 2, 3, 4, 3, 4, 0, 3, 4, 3, 0, 0, 4, 2, 1, 2, 0, 4, 4, 4, 4, 2, 1, 0, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 0, 2, 4, 2, 3, 3, 3, 3, 2, 4, 0, 2, 0, 4, 0, 1, 3, 2, 0, 2, 1, 2, 4, 4, 3, 4, 4, 3, 1, 1, 1, 3, 1, 3, 3, 2, 3, 2, 3, 2, 4, 3, 2, 4, 0, 1, 1, 3, 0, 2, 4, 2, 3, 3, 1, 3, 1, 3, 1, 0, 0, 0, 4, 2, 0, 3, 3, 0, 1, 0, 1, 2, 0, 3, 4, 3, 4, 2, 1, 4, 4, 2, 4, 3, 1, 3, 0, 4, 4, 0, 3, 4, 3, 1, 0, 4, 4, 3, 0, 1, 4, 3, 1, 0, 2, 2, 0, 4, 2, 4, 0, 0, 1, 3, 4, 0, 2, 2, 3, 4, 0, 3, 0, 3, 2, 2, 0, 3, 4, 2, 0, 3, 0, 2, 3, 0, 4, 0, 0, 3, 3, 0, 0, 3, 0, 3, 2, 2, 0, 4, 2, 4, 4, 4, 1, 2, 4, 0, 3, 2, 4, 1, 0, 2, 1, 0, 4, 1, 2, 0, 0, 1, 0, 4, 3, 0, 3, 2, 1] pubkeycol1139 = [0, 1, 1, 0, 1, 2, 1, 4, 3, 4, 3, 0, 4, 0, 1, 4, 2, 1, 2, 1, 1, 3, 4, 2, 3, 1, 1, 1, 4, 2, 1, 2, 3, 4, 4, 1, 3, 1, 1, 0, 1, 1, 2, 0, 3, 0, 4, 0, 2, 1, 2, 2, 3, 0, 1, 4, 3, 3, 4, 3, 0, 2, 1, 0, 3, 2, 3, 1, 0, 1, 3, 2, 1, 4, 2, 2, 4, 2, 3, 3, 0, 3, 2, 2, 0, 2, 1, 4, 4, 0, 1, 3, 1, 4, 2, 2, 3, 2, 1, 1, 1, 2, 0, 3, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 1, 3, 2, 1, 2, 2, 3, 0, 3, 3, 3, 4, 1, 1, 0, 3, 0, 1, 4, 4, 4, 4, 1, 3, 3, 3, 3, 3, 2, 4, 1, 2, 3, 2, 4, 1, 0, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 4, 1, 2, 0, 4, 4, 1, 2, 2, 4, 1, 2, 3, 0, 0, 4, 0, 3, 4, 1, 3, 4, 1, 2, 0, 1, 2, 4, 4, 3, 3, 0, 0, 0, 3, 4, 1, 3, 2, 3, 0, 3, 1, 3, 4, 0, 0, 0, 3, 1, 0, 4, 2, 3, 0, 0, 2, 3, 3, 4, 1, 1, 3, 2, 3, 4, 2, 3, 2, 0, 0, 3, 2, 2, 0, 4, 4, 1, 2, 1, 0, 2, 4, 3, 0, 4, 4, 3, 0, 1, 3, 1, 4, 0, 0, 2, 3, 0, 0, 3, 1, 1, 0, 2, 3, 2, 1, 2, 3, 1, 2, 0, 2, 0, 3, 4, 0, 4, 2, 1, 3, 3, 0, 0, 0, 3, 0, 1, 0, 2, 1, 4, 3, 3, 3, 3, 3, 0, 0, 3, 4, 1, 0, 2, 0, 0, 3, 0, 2, 1, 1, 2, 2, 2, 1, 4, 1, 1, 4, 4, 0, 0, 3, 3, 3, 2, 4, 1, 3, 4, 2, 3, 0, 3, 4, 2, 3, 1, 3, 3, 2, 1, 4, 3, 4, 4, 1, 0, 3, 3, 2, 0, 1, 4, 0, 3, 4, 0, 1, 1, 1, 3, 0, 0, 2, 3, 2, 1, 4, 3, 3, 1, 4, 4, 1, 1, 0, 1, 0, 1, 0, 1, 3, 3, 0, 3, 0, 2, 3, 1, 1, 3, 0, 3] pubkeycol1140 = [1, 1, 1, 2, 4, 1, 1, 0, 3, 2, 4, 4, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 3, 1, 1, 1, 1, 2, 2, 2, 3, 1, 3, 1, 2, 2, 3, 3, 0, 1, 4, 4, 4, 3, 1, 4, 1, 3, 0, 3, 3, 1, 4, 4, 2, 2, 2, 0, 3, 0, 2, 0, 3, 0, 1, 0, 0, 2, 0, 1, 4, 4, 1, 1, 1, 4, 2, 2, 0, 3, 2, 2, 0, 4, 3, 1, 0, 2, 2, 3, 1, 1, 1, 0, 1, 4, 2, 2, 0, 1, 3, 1, 4, 1, 3, 3, 4, 1, 4, 2, 1, 0, 1, 3, 3, 3, 0, 2, 0, 3, 4, 2, 2, 1, 0, 0, 1, 3, 0, 1, 0, 3, 1, 3, 2, 1, 2, 2, 3, 0, 3, 4, 3, 2, 2, 2, 0, 2, 2, 3, 3, 3, 4, 3, 2, 2, 2, 2, 1, 4, 0, 3, 4, 0, 2, 0, 0, 1, 4, 0, 3, 1, 1, 0, 0, 4, 1, 3, 4, 2, 1, 2, 0, 3, 3, 2, 0, 4, 1, 0, 3, 1, 1, 0, 3, 4, 4, 0, 0, 2, 3, 1, 3, 0, 1, 3, 2, 1, 2, 0, 3, 2, 1, 3, 4, 3, 2, 2, 4, 0, 3, 2, 3, 1, 1, 2, 0, 1, 4, 3, 4, 4, 2, 3, 2, 0, 2, 0, 1, 1, 3, 1, 4, 0, 1, 3, 0, 4, 4, 4, 2, 2, 3, 4, 2, 0, 4, 0, 0, 1, 4, 4, 1, 0, 1, 2, 0, 4, 3, 4, 1, 3, 4, 0, 4, 3, 1, 0, 0, 1, 0, 0, 4, 2, 0, 4, 4, 0, 0, 4, 1, 0, 2, 0, 2, 3, 0, 3, 0, 1, 0, 2, 3, 4, 2, 0, 3, 0, 0, 0, 0, 0, 4, 1, 2, 2, 3, 3, 0, 2, 0, 4, 1, 0, 3, 1, 1, 1, 1, 3, 3, 4, 1, 3, 0, 3, 1, 0, 4, 2, 1, 4, 4, 4, 4, 1, 2, 1, 1, 1, 0, 0, 3, 2, 0, 2, 3, 1, 3, 4, 2, 3, 2, 1, 2, 2, 3, 1, 1, 2, 2, 4, 3, 4, 2, 2, 0, 3, 1, 0, 1, 0, 0, 2, 3, 2, 3, 0, 3, 4, 0, 1, 1, 2, 0, 0] pubkeycol1141 = [4, 0, 4, 3, 3, 2, 2, 3, 3, 1, 2, 2, 1, 4, 1, 3, 4, 2, 0, 4, 4, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 1, 1, 0, 1, 0, 3, 0, 4, 1, 3, 3, 1, 3, 1, 2, 2, 2, 1, 1, 4, 0, 0, 2, 2, 4, 1, 4, 1, 0, 1, 2, 0, 3, 2, 1, 4, 3, 1, 3, 2, 0, 0, 3, 3, 2, 1, 3, 2, 2, 0, 2, 2, 1, 4, 2, 3, 0, 2, 3, 4, 0, 2, 0, 2, 0, 1, 4, 0, 1, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 4, 3, 0, 4, 4, 2, 3, 0, 0, 0, 1, 3, 4, 1, 2, 2, 0, 2, 1, 4, 3, 1, 2, 1, 3, 0, 0, 0, 2, 3, 3, 0, 1, 2, 3, 2, 2, 4, 2, 1, 0, 2, 1, 0, 0, 1, 1, 3, 0, 4, 2, 3, 4, 0, 4, 3, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 4, 1, 2, 3, 0, 0, 3, 3, 1, 4, 4, 0, 0, 4, 3, 2, 3, 3, 4, 2, 1, 0, 1, 2, 1, 1, 2, 1, 4, 3, 3, 2, 4, 4, 1, 4, 1, 2, 2, 0, 0, 4, 0, 4, 2, 4, 4, 3, 2, 2, 4, 0, 4, 4, 1, 3, 4, 3, 4, 4, 0, 4, 3, 2, 2, 1, 4, 3, 4, 4, 0, 4, 1, 2, 2, 0, 4, 3, 1, 2, 0, 3, 0, 4, 3, 0, 2, 0, 2, 0, 0, 4, 1, 0, 2, 4, 4, 0, 1, 2, 3, 4, 4, 1, 3, 3, 0, 1, 0, 2, 3, 1, 3, 1, 4, 3, 4, 1, 4, 1, 2, 4, 2, 2, 4, 3, 2, 4, 0, 0, 3, 2, 3, 1, 0, 4, 4, 1, 2, 2, 4, 3, 4, 1, 3, 3, 3, 4, 2, 0, 4, 0, 0, 2, 3, 4, 1, 0, 4, 4, 2, 2, 0, 3, 3, 3, 0, 1, 4, 1, 0, 0, 2, 2, 4, 1, 3, 2, 3, 2, 1, 4, 3, 4, 3, 1, 0, 0, 2, 3, 2, 3, 4, 1, 1, 0, 0, 4, 4, 0, 0, 1, 0, 3, 0, 3, 1, 3, 0, 3, 4, 0, 0, 4, 1, 2, 1, 4, 1, 3, 2, 4] pubkeycol1142 = [3, 4, 4, 2, 3, 3, 3, 4, 0, 2, 2, 0, 1, 4, 3, 1, 0, 0, 4, 4, 2, 4, 3, 2, 2, 0, 1, 1, 3, 4, 1, 0, 1, 2, 4, 0, 3, 1, 2, 2, 3, 1, 2, 3, 2, 0, 4, 2, 0, 4, 1, 1, 4, 0, 2, 1, 4, 4, 3, 4, 3, 2, 0, 4, 2, 1, 3, 1, 4, 1, 3, 2, 2, 4, 2, 1, 3, 3, 2, 0, 4, 1, 4, 0, 1, 2, 3, 3, 4, 3, 4, 2, 1, 1, 4, 0, 3, 3, 4, 4, 2, 1, 4, 1, 2, 0, 3, 3, 4, 4, 4, 1, 3, 4, 3, 0, 1, 4, 4, 2, 3, 4, 0, 4, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 4, 3, 4, 0, 3, 1, 0, 4, 4, 3, 0, 1, 0, 1, 0, 0, 0, 0, 4, 2, 0, 3, 1, 4, 0, 1, 0, 4, 0, 2, 2, 4, 0, 1, 2, 3, 4, 4, 1, 0, 4, 4, 2, 0, 4, 1, 3, 1, 4, 0, 2, 0, 4, 0, 2, 1, 3, 2, 2, 3, 1, 4, 2, 3, 1, 4, 2, 4, 3, 3, 2, 4, 2, 3, 3, 2, 0, 4, 0, 3, 3, 0, 1, 1, 1, 1, 4, 1, 3, 2, 0, 3, 0, 4, 0, 1, 3, 0, 1, 0, 0, 2, 4, 0, 3, 3, 4, 4, 1, 4, 0, 4, 1, 2, 3, 1, 1, 2, 3, 1, 2, 4, 3, 4, 2, 2, 3, 0, 2, 4, 3, 0, 0, 3, 2, 0, 2, 0, 3, 3, 1, 3, 0, 1, 4, 4, 3, 1, 3, 4, 1, 1, 0, 3, 0, 1, 0, 2, 3, 3, 4, 4, 2, 2, 1, 0, 4, 4, 2, 4, 0, 2, 0, 2, 3, 4, 1, 3, 1, 3, 4, 0, 2, 0, 3, 2, 4, 1, 2, 0, 0, 0, 4, 3, 2, 2, 2, 0, 0, 2, 1, 4, 1, 0, 4, 4, 1, 2, 1, 0, 2, 0, 3, 0, 4, 4, 1, 1, 1, 2, 2, 1, 1, 4, 3, 1, 3, 4, 3, 0, 4, 3, 1, 1, 3, 1, 1, 2, 1, 2, 3, 1, 4, 2, 3, 0, 3, 2, 0, 0, 2, 2, 1, 0, 2, 1, 3, 2, 1, 3, 0, 0, 1, 4, 3, 0] pubkeycol1143 = [2, 1, 4, 2, 3, 4, 2, 1, 0, 1, 2, 0, 3, 1, 0, 2, 1, 1, 4, 1, 2, 1, 0, 2, 2, 2, 1, 0, 4, 0, 0, 4, 2, 0, 1, 1, 1, 2, 1, 4, 2, 0, 2, 2, 1, 4, 0, 3, 3, 3, 4, 3, 3, 4, 4, 1, 4, 3, 0, 4, 3, 1, 3, 3, 3, 4, 0, 1, 0, 4, 3, 2, 2, 4, 0, 2, 0, 3, 0, 3, 1, 1, 2, 0, 3, 0, 0, 1, 3, 4, 3, 2, 0, 0, 4, 3, 0, 4, 4, 2, 1, 2, 1, 3, 0, 3, 1, 2, 1, 4, 0, 1, 3, 3, 0, 4, 1, 0, 2, 2, 1, 4, 4, 0, 1, 3, 1, 0, 0, 0, 3, 4, 0, 4, 3, 3, 3, 3, 1, 4, 1, 4, 3, 1, 4, 0, 1, 2, 0, 3, 0, 0, 2, 4, 3, 3, 4, 4, 3, 1, 3, 1, 4, 1, 0, 1, 0, 4, 2, 4, 1, 1, 2, 1, 4, 4, 0, 2, 1, 4, 1, 4, 1, 1, 3, 1, 4, 4, 3, 4, 2, 0, 1, 1, 2, 1, 4, 0, 4, 3, 2, 1, 4, 4, 2, 2, 4, 3, 4, 4, 0, 0, 1, 1, 2, 1, 0, 3, 4, 2, 1, 2, 4, 2, 1, 1, 4, 0, 4, 1, 1, 4, 3, 4, 4, 0, 3, 2, 4, 1, 3, 3, 4, 0, 4, 3, 4, 4, 2, 4, 4, 0, 4, 0, 3, 2, 2, 1, 1, 1, 4, 1, 4, 0, 1, 3, 3, 2, 0, 4, 4, 4, 2, 2, 3, 4, 1, 3, 4, 2, 0, 1, 1, 4, 4, 3, 1, 2, 4, 0, 4, 1, 1, 0, 1, 1, 1, 4, 4, 4, 3, 2, 1, 1, 3, 2, 2, 2, 2, 3, 4, 2, 2, 1, 2, 0, 4, 2, 0, 2, 1, 3, 2, 4, 2, 4, 3, 4, 2, 3, 1, 2, 0, 4, 1, 4, 1, 3, 4, 1, 1, 3, 1, 4, 4, 4, 1, 4, 1, 1, 3, 4, 0, 2, 0, 4, 0, 4, 4, 1, 3, 0, 1, 0, 1, 0, 0, 1, 4, 4, 4, 2, 4, 4, 1, 2, 2, 4, 1, 1, 0, 2, 0, 4, 2, 1, 4, 1, 2, 2, 3, 1, 3, 2, 4, 3, 3, 0, 0, 4] pubkeycol1144 = [2, 2, 1, 2, 1, 4, 0, 2, 1, 0, 2, 1, 1, 3, 2, 2, 1, 0, 3, 4, 4, 1, 0, 2, 2, 2, 1, 1, 4, 2, 0, 0, 1, 0, 2, 4, 2, 4, 4, 2, 2, 1, 1, 0, 0, 2, 4, 2, 0, 3, 3, 4, 0, 2, 0, 1, 1, 4, 3, 4, 4, 2, 0, 3, 3, 2, 0, 4, 2, 3, 0, 2, 4, 1, 4, 4, 1, 2, 2, 2, 4, 1, 0, 2, 3, 2, 0, 0, 2, 4, 1, 2, 2, 2, 4, 3, 0, 3, 4, 4, 2, 0, 3, 3, 3, 2, 1, 1, 3, 4, 3, 4, 1, 0, 0, 0, 2, 0, 1, 4, 2, 2, 3, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 4, 0, 0, 2, 1, 3, 2, 4, 1, 3, 1, 0, 3, 1, 3, 4, 3, 0, 0, 1, 4, 3, 4, 4, 4, 4, 2, 2, 3, 4, 0, 2, 4, 4, 1, 1, 2, 4, 3, 4, 0, 1, 0, 0, 4, 4, 4, 3, 0, 2, 2, 3, 0, 0, 0, 3, 0, 0, 2, 0, 3, 2, 4, 2, 2, 0, 0, 2, 3, 2, 1, 2, 0, 3, 2, 4, 1, 3, 2, 0, 0, 3, 4, 0, 2, 1, 1, 3, 3, 4, 0, 4, 3, 4, 0, 1, 1, 0, 3, 0, 2, 0, 3, 1, 4, 2, 2, 2, 2, 2, 1, 2, 4, 0, 4, 1, 1, 2, 3, 0, 4, 3, 1, 0, 1, 2, 4, 1, 3, 4, 0, 3, 2, 2, 3, 2, 1, 4, 2, 1, 1, 1, 3, 2, 2, 3, 0, 3, 1, 4, 2, 1, 2, 3, 2, 0, 1, 4, 3, 1, 4, 2, 1, 1, 0, 0, 0, 4, 1, 3, 1, 3, 2, 4, 1, 0, 1, 4, 2, 3, 1, 2, 2, 1, 2, 4, 3, 0, 3, 1, 1, 4, 1, 3, 1, 0, 0, 1, 2, 1, 0, 0, 2, 4, 2, 0, 1, 0, 1, 3, 4, 0, 2, 3, 1, 1, 4, 1, 4, 1, 4, 0, 2, 2, 4, 3, 1, 3, 3, 1, 3, 4, 4, 1, 4, 1, 2, 3, 4, 0, 3, 1, 2, 3, 1, 2, 0, 3, 2, 3, 1, 4, 3, 3, 0, 1, 1, 1, 0, 3, 2, 4, 0, 0, 3, 3, 0] pubkeycol1145 = [4, 2, 3, 1, 1, 3, 4, 0, 0, 2, 3, 4, 3, 3, 2, 4, 2, 3, 3, 0, 4, 1, 4, 0, 2, 1, 0, 1, 3, 4, 3, 4, 1, 2, 4, 2, 3, 1, 0, 1, 0, 4, 4, 0, 4, 0, 4, 2, 1, 1, 0, 4, 4, 4, 4, 3, 4, 1, 0, 2, 4, 0, 2, 4, 3, 3, 0, 3, 0, 4, 3, 2, 1, 2, 2, 4, 3, 0, 4, 4, 4, 4, 3, 1, 1, 4, 3, 4, 0, 2, 0, 1, 3, 2, 1, 1, 2, 3, 1, 4, 0, 3, 2, 2, 2, 4, 3, 2, 1, 0, 2, 3, 3, 4, 3, 1, 3, 1, 3, 2, 4, 0, 3, 2, 4, 0, 0, 2, 1, 3, 2, 4, 1, 4, 4, 3, 1, 2, 2, 0, 4, 0, 4, 3, 3, 4, 3, 1, 3, 0, 2, 3, 2, 1, 4, 3, 3, 1, 1, 0, 2, 3, 0, 1, 3, 3, 1, 0, 1, 3, 3, 0, 4, 3, 3, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 1, 3, 1, 4, 2, 2, 1, 1, 0, 0, 4, 1, 4, 2, 3, 1, 3, 2, 2, 1, 1, 4, 0, 2, 4, 3, 0, 4, 3, 0, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 4, 1, 4, 3, 3, 2, 2, 0, 4, 2, 3, 0, 4, 2, 2, 3, 3, 2, 4, 4, 4, 2, 4, 1, 1, 3, 3, 1, 1, 2, 4, 1, 2, 4, 1, 0, 2, 3, 0, 0, 1, 0, 1, 3, 3, 3, 1, 1, 3, 1, 3, 0, 2, 4, 2, 3, 0, 4, 4, 0, 2, 0, 3, 3, 3, 0, 1, 2, 4, 0, 3, 0, 4, 2, 2, 4, 0, 1, 2, 4, 3, 1, 2, 1, 0, 2, 4, 4, 0, 4, 3, 3, 3, 4, 4, 0, 3, 3, 3, 4, 2, 4, 1, 0, 3, 1, 2, 0, 3, 0, 0, 4, 3, 4, 2, 1, 3, 2, 3, 4, 2, 2, 0, 0, 3, 0, 1, 4, 4, 3, 2, 3, 4, 0, 4, 3, 3, 4, 4, 0, 3, 3, 1, 1, 0, 0, 3, 2, 1, 1, 2, 4, 0, 1, 3, 1, 3, 0, 1, 3, 4, 0, 2, 1, 3, 2, 4, 2, 4, 0, 4] pubkeycol1146 = [2, 3, 3, 4, 2, 3, 3, 2, 1, 3, 3, 3, 3, 4, 2, 0, 2, 4, 3, 4, 2, 4, 4, 4, 1, 2, 1, 4, 2, 2, 4, 1, 1, 3, 1, 4, 2, 3, 1, 2, 4, 4, 3, 4, 4, 3, 1, 2, 0, 2, 3, 4, 1, 4, 0, 4, 0, 0, 1, 2, 0, 0, 4, 0, 2, 3, 1, 4, 2, 0, 3, 0, 0, 2, 3, 3, 0, 0, 0, 2, 3, 2, 3, 2, 1, 1, 0, 3, 1, 0, 3, 0, 3, 3, 3, 4, 2, 2, 0, 2, 3, 4, 3, 1, 3, 2, 3, 2, 3, 4, 3, 2, 4, 2, 0, 1, 4, 1, 2, 2, 2, 3, 3, 4, 0, 3, 0, 2, 3, 4, 3, 4, 3, 2, 2, 1, 2, 2, 2, 0, 4, 3, 2, 0, 2, 2, 2, 4, 3, 3, 4, 0, 4, 2, 1, 0, 2, 0, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 0, 4, 0, 1, 0, 0, 1, 3, 1, 3, 2, 0, 3, 0, 4, 0, 3, 0, 1, 2, 0, 1, 4, 4, 4, 0, 2, 3, 1, 2, 1, 2, 3, 2, 2, 2, 3, 4, 2, 1, 4, 1, 2, 1, 3, 1, 4, 4, 1, 2, 2, 3, 1, 3, 1, 1, 2, 0, 2, 2, 0, 2, 4, 3, 1, 0, 1, 1, 2, 4, 3, 0, 4, 0, 2, 0, 1, 2, 1, 0, 4, 0, 1, 2, 3, 3, 0, 4, 0, 4, 0, 2, 0, 3, 2, 3, 3, 4, 3, 0, 2, 3, 1, 4, 0, 1, 1, 3, 1, 3, 1, 3, 0, 1, 2, 4, 1, 0, 0, 4, 0, 4, 4, 0, 4, 0, 2, 4, 2, 2, 3, 4, 4, 2, 3, 1, 2, 4, 1, 0, 3, 4, 1, 3, 4, 2, 2, 1, 0, 4, 3, 3, 3, 3, 3, 0, 1, 3, 2, 3, 4, 2, 4, 3, 3, 0, 4, 1, 2, 1, 2, 0, 0, 4, 4, 1, 3, 2, 0, 2, 4, 0, 2, 1, 2, 4, 0, 1, 3, 2, 2, 0, 4, 1, 1, 2, 2, 1, 1, 1, 3, 1, 3, 4, 2, 4, 3, 2, 4, 2, 0, 2, 1, 3, 4, 0, 2, 0, 3, 1, 2, 2, 4, 3, 2, 0, 3, 3, 0, 0, 1] pubkeycol1147 = [3, 4, 3, 2, 2, 3, 2, 1, 3, 1, 1, 2, 2, 2, 2, 4, 2, 3, 4, 4, 0, 0, 0, 1, 4, 0, 1, 3, 0, 3, 0, 0, 0, 4, 0, 3, 0, 3, 4, 2, 2, 4, 0, 1, 2, 2, 4, 2, 3, 3, 0, 0, 4, 0, 0, 4, 3, 1, 1, 4, 2, 0, 1, 1, 0, 3, 3, 3, 0, 2, 0, 2, 2, 0, 1, 0, 4, 1, 3, 2, 4, 3, 3, 1, 3, 3, 2, 0, 2, 0, 3, 1, 0, 2, 3, 3, 3, 2, 1, 3, 3, 4, 2, 2, 3, 2, 2, 1, 3, 2, 0, 1, 3, 0, 3, 4, 0, 1, 4, 3, 4, 2, 4, 0, 1, 4, 1, 2, 1, 0, 4, 4, 4, 1, 0, 4, 2, 2, 0, 4, 3, 1, 3, 0, 2, 3, 0, 2, 1, 2, 3, 3, 2, 0, 2, 4, 0, 4, 2, 3, 0, 4, 0, 0, 3, 0, 0, 3, 4, 4, 3, 4, 4, 0, 4, 2, 3, 3, 1, 1, 2, 0, 2, 3, 4, 3, 1, 0, 0, 1, 1, 3, 3, 2, 2, 3, 1, 0, 3, 1, 3, 0, 1, 3, 0, 0, 3, 0, 3, 2, 3, 4, 1, 0, 4, 2, 0, 3, 0, 4, 3, 3, 0, 1, 0, 3, 4, 1, 1, 4, 3, 0, 3, 1, 0, 3, 4, 3, 4, 2, 4, 4, 3, 3, 3, 4, 3, 2, 4, 2, 4, 3, 0, 4, 2, 4, 1, 3, 4, 2, 0, 2, 2, 2, 2, 0, 3, 3, 4, 2, 3, 4, 3, 4, 1, 0, 2, 3, 4, 3, 2, 0, 0, 4, 0, 2, 1, 3, 0, 4, 2, 4, 4, 4, 3, 1, 0, 2, 1, 1, 4, 0, 4, 1, 4, 0, 4, 0, 1, 1, 2, 4, 3, 3, 2, 0, 4, 0, 4, 4, 3, 1, 3, 3, 0, 4, 2, 4, 1, 4, 3, 0, 1, 0, 4, 4, 3, 0, 0, 2, 2, 3, 3, 2, 0, 2, 0, 4, 3, 2, 3, 4, 4, 3, 2, 1, 1, 4, 0, 3, 4, 3, 1, 3, 1, 4, 4, 1, 3, 1, 0, 0, 0, 2, 2, 4, 4, 2, 1, 3, 3, 2, 1, 3, 2, 0, 1, 1, 4, 2, 0, 1, 1, 4, 4, 0, 4, 0, 2, 3] pubkeycol1148 = [2, 3, 0, 2, 0, 2, 2, 2, 4, 3, 3, 2, 3, 3, 3, 4, 4, 4, 2, 0, 3, 1, 4, 0, 1, 2, 0, 2, 0, 3, 4, 0, 4, 2, 1, 4, 0, 1, 4, 2, 1, 0, 1, 1, 0, 1, 2, 3, 3, 4, 1, 0, 0, 4, 0, 1, 0, 3, 0, 0, 0, 3, 4, 0, 1, 0, 3, 2, 1, 0, 4, 0, 4, 1, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 4, 4, 1, 0, 2, 4, 2, 1, 1, 3, 1, 3, 2, 2, 4, 2, 2, 2, 1, 2, 0, 2, 3, 2, 1, 3, 1, 2, 1, 1, 4, 0, 4, 3, 0, 3, 2, 4, 1, 4, 4, 2, 0, 4, 1, 3, 3, 2, 4, 1, 4, 2, 4, 4, 3, 1, 1, 3, 3, 4, 3, 2, 3, 4, 3, 1, 4, 3, 4, 0, 0, 2, 3, 2, 0, 1, 3, 1, 1, 3, 3, 3, 4, 0, 1, 2, 0, 4, 0, 4, 3, 3, 2, 3, 3, 4, 3, 2, 2, 1, 3, 0, 0, 0, 0, 3, 0, 3, 4, 0, 2, 4, 1, 0, 1, 4, 4, 4, 4, 2, 1, 0, 0, 2, 0, 1, 4, 4, 0, 1, 1, 2, 4, 1, 0, 4, 0, 2, 3, 1, 2, 3, 4, 0, 3, 3, 1, 2, 0, 2, 3, 4, 0, 3, 4, 0, 1, 0, 2, 0, 3, 3, 4, 3, 1, 2, 0, 0, 1, 3, 2, 4, 3, 2, 0, 2, 3, 0, 4, 1, 4, 2, 3, 2, 4, 0, 2, 4, 3, 4, 3, 3, 1, 2, 4, 1, 0, 3, 2, 0, 4, 3, 3, 0, 0, 3, 2, 0, 2, 4, 3, 3, 1, 1, 4, 4, 2, 3, 2, 0, 4, 3, 4, 4, 2, 4, 4, 3, 2, 2, 2, 3, 0, 0, 0, 4, 0, 1, 1, 4, 4, 2, 2, 3, 0, 2, 2, 1, 0, 3, 2, 3, 3, 3, 3, 4, 3, 0, 3, 2, 3, 3, 1, 0, 2, 4, 2, 2, 1, 0, 4, 4, 3, 0, 4, 3, 4, 3, 3, 3, 3, 3, 0, 0, 4, 0, 0, 2, 0, 1, 0, 2, 3, 2, 0, 1, 2, 1, 1, 0, 3, 3, 0, 3, 1, 0, 1, 2, 0, 0, 3, 4, 0, 0, 1, 0] pubkeycol1149 = [2, 2, 1, 3, 4, 4, 2, 3, 4, 1, 0, 3, 2, 2, 1, 4, 0, 2, 4, 1, 4, 4, 1, 4, 3, 4, 1, 4, 0, 3, 1, 0, 4, 0, 4, 4, 3, 2, 1, 4, 0, 3, 1, 4, 4, 0, 2, 0, 0, 3, 2, 4, 4, 1, 4, 4, 3, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 3, 4, 0, 3, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 3, 0, 3, 4, 1, 2, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 4, 2, 1, 4, 1, 4, 3, 2, 1, 0, 4, 4, 1, 4, 1, 3, 1, 1, 4, 3, 3, 4, 2, 2, 3, 4, 2, 0, 3, 2, 3, 1, 2, 4, 0, 3, 2, 3, 3, 0, 4, 3, 4, 0, 2, 3, 0, 4, 3, 1, 0, 4, 4, 1, 4, 4, 0, 2, 4, 3, 3, 3, 2, 3, 2, 0, 4, 0, 4, 2, 0, 0, 4, 2, 1, 0, 4, 1, 3, 2, 2, 0, 0, 4, 0, 4, 2, 3, 4, 0, 4, 2, 1, 0, 0, 1, 1, 1, 4, 3, 3, 0, 1, 0, 0, 1, 0, 0, 3, 4, 3, 1, 3, 4, 4, 0, 1, 2, 2, 4, 1, 2, 1, 1, 2, 3, 3, 0, 4, 1, 2, 0, 4, 3, 2, 3, 4, 0, 2, 3, 4, 2, 3, 4, 1, 2, 1, 2, 0, 4, 1, 3, 0, 3, 2, 4, 0, 4, 0, 0, 2, 0, 2, 3, 4, 1, 0, 0, 4, 2, 2, 2, 4, 3, 0, 0, 0, 2, 4, 4, 0, 3, 1, 4, 1, 1, 0, 2, 0, 3, 2, 1, 0, 3, 0, 4, 1, 4, 3, 4, 2, 2, 0, 1, 4, 4, 4, 3, 2, 0, 3, 0, 3, 0, 1, 2, 0, 1, 1, 1, 4, 4, 4, 2, 2, 4, 3, 1, 3, 2, 3, 0, 0, 1, 1, 3, 2, 2, 0, 2, 2, 2, 1, 2, 1, 3, 4, 3, 0, 3, 0, 0, 2, 3, 2, 0, 1, 3, 2, 1, 4, 2, 2, 2, 4, 2, 0, 1, 1, 3, 3, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 4, 0, 4, 3, 3, 1, 4, 2, 2, 2, 2, 2, 0, 2, 2, 3, 3, 1, 0] pubkeycol1150 = [4, 2, 1, 4, 3, 0, 1, 4, 2, 4, 3, 0, 0, 1, 2, 4, 0, 1, 3, 4, 3, 3, 3, 0, 3, 0, 0, 1, 3, 0, 3, 2, 4, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 0, 2, 4, 1, 3, 4, 0, 0, 2, 2, 3, 3, 0, 4, 2, 2, 4, 3, 4, 1, 1, 0, 3, 2, 3, 1, 1, 1, 0, 1, 4, 2, 1, 2, 4, 3, 3, 2, 2, 2, 4, 4, 1, 4, 4, 2, 4, 0, 0, 2, 1, 1, 4, 1, 4, 2, 0, 4, 1, 0, 2, 1, 2, 1, 2, 3, 2, 2, 1, 0, 1, 1, 4, 0, 2, 3, 4, 0, 2, 4, 1, 0, 1, 1, 2, 0, 0, 4, 2, 3, 2, 1, 1, 1, 4, 1, 0, 2, 1, 3, 4, 2, 1, 4, 3, 3, 4, 2, 0, 0, 1, 3, 3, 1, 1, 1, 3, 1, 4, 2, 1, 1, 1, 2, 1, 2, 4, 3, 1, 3, 1, 4, 3, 4, 0, 0, 2, 3, 2, 4, 4, 2, 4, 1, 1, 2, 0, 2, 3, 1, 4, 3, 3, 4, 0, 0, 3, 4, 0, 0, 0, 1, 0, 0, 0, 3, 4, 2, 1, 1, 2, 3, 4, 1, 4, 3, 4, 0, 4, 4, 0, 3, 1, 3, 1, 4, 4, 4, 1, 1, 1, 0, 0, 2, 4, 2, 0, 4, 3, 4, 2, 4, 3, 3, 3, 1, 1, 1, 4, 3, 1, 2, 2, 3, 2, 1, 2, 2, 2, 4, 3, 1, 2, 3, 3, 0, 0, 3, 2, 1, 3, 4, 4, 2, 0, 1, 3, 2, 0, 4, 3, 2, 3, 3, 0, 4, 4, 1, 1, 0, 1, 2, 2, 4, 4, 2, 1, 4, 0, 3, 4, 4, 3, 4, 2, 3, 2, 1, 0, 1, 2, 4, 0, 1, 2, 4, 4, 1, 3, 3, 2, 0, 2, 1, 3, 3, 3, 3, 2, 4, 3, 0, 2, 1, 2, 3, 3, 2, 2, 0, 4, 2, 3, 3, 3, 4, 0, 0, 1, 3, 0, 3, 0, 4, 2, 3, 1, 1, 0, 0, 1, 4, 3, 0, 4, 3, 4, 1, 1, 2, 3, 1, 2, 3, 3, 4, 2, 2, 2, 1, 2, 2, 3, 0, 4, 4, 1, 2, 2, 1, 0, 3, 4, 0, 1, 4, 0] pubkeycol1151 = [2, 2, 3, 4, 2, 2, 2, 4, 1, 0, 4, 1, 0, 3, 1, 1, 0, 2, 2, 0, 2, 1, 4, 4, 2, 4, 1, 1, 4, 4, 0, 0, 1, 3, 3, 4, 0, 1, 1, 1, 0, 3, 1, 2, 2, 2, 2, 1, 2, 4, 1, 0, 2, 1, 4, 1, 2, 2, 4, 1, 1, 2, 2, 3, 3, 1, 3, 1, 3, 2, 4, 1, 4, 3, 1, 4, 2, 3, 2, 4, 0, 2, 4, 3, 0, 0, 1, 4, 4, 3, 2, 2, 1, 3, 1, 4, 3, 2, 0, 4, 0, 3, 1, 4, 3, 0, 1, 0, 2, 4, 1, 4, 2, 3, 4, 4, 3, 2, 3, 3, 3, 0, 0, 4, 3, 4, 1, 0, 3, 0, 0, 2, 4, 4, 2, 3, 3, 2, 4, 2, 1, 3, 1, 3, 3, 3, 4, 3, 1, 4, 0, 4, 1, 2, 2, 4, 4, 2, 1, 2, 2, 2, 4, 4, 3, 3, 0, 2, 3, 1, 2, 3, 2, 0, 1, 4, 0, 4, 2, 3, 4, 2, 0, 0, 2, 0, 3, 1, 0, 2, 4, 2, 1, 1, 3, 0, 4, 4, 2, 2, 3, 0, 0, 2, 4, 2, 3, 4, 4, 2, 1, 4, 4, 1, 2, 4, 0, 3, 2, 2, 4, 0, 2, 0, 2, 1, 3, 3, 0, 0, 1, 1, 0, 1, 2, 2, 4, 2, 3, 1, 3, 4, 1, 4, 2, 2, 2, 3, 2, 4, 4, 1, 3, 1, 2, 4, 3, 2, 1, 4, 4, 1, 2, 2, 2, 2, 1, 3, 1, 0, 1, 2, 4, 1, 3, 3, 0, 4, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 4, 0, 2, 3, 1, 0, 1, 2, 3, 2, 2, 3, 0, 4, 2, 3, 4, 1, 3, 0, 3, 1, 1, 1, 0, 2, 4, 3, 4, 0, 3, 4, 1, 0, 3, 4, 1, 0, 2, 4, 0, 4, 0, 0, 4, 4, 3, 4, 2, 4, 2, 3, 1, 1, 0, 3, 0, 4, 0, 1, 4, 4, 3, 1, 3, 3, 3, 0, 0, 1, 3, 3, 1, 2, 0, 3, 4, 1, 1, 0, 0, 1, 4, 0, 4, 4, 0, 0, 2, 1, 3, 0, 3, 1, 4, 4, 3, 2, 2, 2, 4, 0, 0, 4, 1, 2, 3] pubkeycol1152 = [2, 2, 4, 2, 4, 0, 2, 1, 4, 2, 0, 1, 4, 4, 4, 4, 1, 2, 3, 0, 2, 1, 3, 2, 1, 3, 2, 1, 0, 0, 1, 4, 0, 0, 1, 2, 3, 3, 0, 1, 4, 4, 4, 3, 1, 0, 4, 3, 4, 1, 4, 1, 2, 0, 3, 3, 0, 2, 2, 2, 2, 3, 3, 3, 0, 0, 3, 1, 4, 3, 2, 2, 3, 3, 1, 0, 4, 4, 0, 3, 1, 0, 1, 1, 1, 3, 4, 2, 2, 3, 2, 4, 4, 2, 3, 2, 2, 0, 3, 1, 2, 4, 0, 4, 2, 0, 4, 0, 1, 1, 3, 2, 3, 1, 0, 3, 4, 3, 2, 4, 4, 1, 3, 3, 3, 2, 1, 4, 0, 3, 1, 4, 4, 3, 4, 3, 2, 4, 4, 1, 4, 3, 2, 4, 0, 1, 0, 1, 2, 1, 4, 0, 2, 3, 1, 2, 4, 2, 3, 0, 3, 0, 1, 1, 1, 1, 4, 0, 3, 0, 3, 0, 0, 3, 4, 3, 0, 4, 4, 0, 2, 0, 3, 1, 0, 1, 1, 1, 0, 0, 0, 2, 3, 4, 3, 4, 4, 2, 2, 1, 4, 3, 0, 4, 2, 2, 3, 2, 0, 4, 0, 1, 2, 2, 1, 1, 3, 3, 1, 1, 0, 1, 4, 2, 3, 4, 4, 0, 1, 3, 4, 2, 3, 4, 3, 0, 0, 4, 1, 1, 0, 2, 0, 1, 3, 4, 4, 1, 3, 1, 0, 4, 1, 2, 0, 4, 2, 4, 2, 0, 1, 1, 4, 3, 4, 4, 3, 3, 4, 4, 4, 2, 0, 0, 4, 0, 1, 3, 1, 4, 0, 4, 0, 3, 3, 3, 4, 1, 2, 2, 3, 2, 0, 3, 4, 1, 2, 0, 0, 2, 4, 0, 3, 0, 4, 0, 0, 2, 0, 4, 0, 2, 4, 2, 3, 4, 0, 1, 3, 3, 0, 4, 2, 4, 1, 1, 1, 1, 2, 2, 0, 1, 3, 4, 3, 4, 4, 1, 0, 1, 4, 3, 4, 2, 1, 2, 1, 4, 0, 4, 1, 2, 3, 4, 3, 2, 3, 4, 1, 0, 2, 3, 2, 0, 2, 0, 0, 4, 4, 2, 0, 0, 0, 3, 4, 2, 1, 4, 2, 4, 4, 4, 1, 1, 1, 0, 0, 1, 3, 3, 1, 1, 0, 4, 1, 3, 3, 4, 0, 4] pubkeycol1153 = [3, 3, 2, 1, 1, 0, 0, 2, 2, 4, 0, 3, 4, 1, 4, 3, 4, 0, 0, 2, 3, 4, 2, 2, 4, 0, 4, 2, 1, 1, 1, 1, 4, 2, 0, 0, 3, 1, 1, 1, 1, 0, 1, 3, 4, 4, 2, 3, 4, 2, 0, 4, 4, 0, 3, 0, 2, 3, 2, 2, 3, 2, 2, 1, 4, 4, 4, 2, 2, 4, 4, 4, 0, 4, 4, 1, 1, 4, 1, 2, 4, 1, 0, 1, 2, 4, 2, 3, 3, 3, 1, 2, 2, 0, 1, 4, 1, 2, 3, 0, 2, 2, 1, 0, 2, 2, 0, 3, 4, 2, 4, 4, 2, 4, 0, 4, 3, 4, 0, 1, 1, 3, 1, 1, 2, 3, 0, 2, 2, 4, 3, 1, 1, 4, 1, 2, 2, 1, 0, 4, 0, 1, 4, 4, 3, 3, 4, 0, 4, 4, 2, 4, 1, 4, 4, 2, 3, 2, 4, 4, 4, 2, 4, 3, 3, 3, 0, 1, 4, 2, 4, 3, 3, 2, 3, 2, 0, 1, 2, 0, 4, 3, 1, 3, 3, 1, 2, 0, 4, 3, 3, 1, 0, 0, 3, 0, 3, 0, 2, 4, 3, 2, 2, 0, 2, 3, 0, 4, 0, 2, 4, 1, 2, 0, 3, 2, 1, 1, 3, 0, 4, 1, 3, 2, 1, 0, 1, 2, 4, 1, 4, 4, 4, 2, 2, 3, 4, 2, 1, 4, 2, 3, 3, 0, 2, 3, 2, 2, 1, 0, 2, 3, 1, 4, 0, 4, 0, 3, 3, 4, 2, 3, 1, 0, 3, 3, 2, 0, 4, 1, 3, 4, 4, 4, 1, 4, 1, 1, 3, 2, 2, 4, 4, 4, 3, 3, 4, 1, 3, 1, 3, 2, 4, 1, 3, 1, 1, 1, 0, 2, 1, 4, 1, 1, 0, 2, 0, 2, 3, 4, 2, 2, 3, 0, 4, 2, 3, 3, 0, 3, 0, 3, 1, 3, 3, 3, 4, 0, 3, 0, 1, 1, 2, 1, 4, 2, 3, 2, 0, 0, 2, 4, 1, 0, 0, 2, 1, 2, 4, 2, 3, 2, 2, 1, 2, 3, 1, 3, 3, 0, 4, 2, 1, 2, 0, 4, 1, 1, 1, 2, 1, 3, 1, 3, 3, 4, 2, 0, 0, 0, 1, 1, 0, 2, 0, 4, 4, 4, 3, 2, 3, 4, 0, 2, 4, 4, 3, 1, 0, 4] pubkeycol1154 = [3, 4, 2, 4, 2, 0, 3, 2, 1, 4, 2, 4, 3, 2, 3, 0, 3, 3, 4, 3, 4, 0, 3, 4, 3, 4, 3, 3, 1, 4, 3, 4, 2, 0, 1, 4, 0, 3, 4, 1, 0, 2, 1, 0, 0, 0, 4, 3, 1, 4, 1, 3, 2, 4, 4, 1, 1, 2, 0, 2, 4, 2, 3, 0, 0, 2, 2, 4, 1, 3, 0, 2, 3, 2, 4, 1, 0, 3, 2, 3, 1, 4, 1, 3, 4, 3, 1, 3, 3, 0, 3, 3, 1, 1, 1, 4, 4, 2, 0, 1, 2, 1, 4, 4, 0, 4, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 1, 4, 4, 3, 1, 3, 4, 0, 4, 3, 0, 1, 2, 4, 3, 4, 2, 4, 2, 1, 3, 0, 4, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 3, 4, 0, 2, 1, 0, 1, 2, 3, 0, 1, 0, 0, 2, 1, 3, 3, 1, 2, 4, 0, 3, 1, 1, 4, 0, 2, 2, 3, 1, 0, 4, 4, 2, 4, 2, 3, 4, 3, 2, 4, 0, 0, 1, 4, 1, 1, 0, 2, 0, 4, 4, 0, 0, 1, 1, 2, 4, 0, 1, 3, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 3, 4, 0, 3, 4, 4, 0, 0, 4, 3, 0, 0, 3, 0, 1, 4, 4, 4, 1, 2, 2, 3, 0, 2, 0, 3, 4, 1, 2, 2, 4, 3, 3, 0, 4, 1, 4, 4, 2, 4, 3, 0, 0, 4, 4, 0, 3, 2, 0, 2, 0, 2, 3, 1, 0, 4, 3, 2, 2, 1, 0, 2, 2, 0, 4, 4, 1, 0, 1, 0, 3, 3, 0, 2, 4, 1, 2, 4, 3, 1, 0, 4, 4, 2, 1, 0, 0, 0, 4, 4, 4, 4, 3, 1, 2, 4, 0, 0, 4, 1, 4, 2, 3, 1, 4, 1, 4, 3, 2, 1, 1, 1, 0, 3, 0, 0, 4, 0, 2, 0, 4, 0, 0, 1, 0, 4, 1, 2, 2, 2, 3, 1, 3, 1, 1, 4, 0, 2, 4, 3, 4, 2, 4, 4, 4, 4, 0, 2, 4, 3, 2, 4, 1, 0, 0, 2, 0, 1, 0, 4, 0, 1, 3, 3, 1, 3, 3, 4, 4, 3, 3, 4, 3, 1, 3, 1, 4, 0, 1, 1] pubkeycol1155 = [1, 0, 2, 2, 1, 3, 4, 4, 3, 2, 0, 4, 4, 4, 4, 4, 1, 4, 3, 0, 3, 1, 0, 3, 0, 4, 1, 3, 0, 3, 0, 2, 0, 4, 4, 4, 4, 3, 1, 0, 3, 0, 2, 3, 3, 4, 1, 3, 0, 2, 0, 4, 3, 1, 3, 4, 0, 2, 3, 0, 4, 3, 2, 1, 4, 2, 3, 1, 0, 3, 4, 1, 4, 4, 3, 3, 2, 4, 4, 4, 2, 3, 1, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 3, 0, 4, 0, 0, 1, 0, 3, 2, 4, 4, 4, 3, 3, 4, 3, 1, 2, 0, 0, 1, 2, 2, 4, 3, 4, 0, 4, 2, 2, 0, 2, 4, 4, 4, 4, 4, 3, 0, 4, 1, 4, 2, 4, 2, 2, 3, 0, 2, 4, 0, 3, 4, 4, 1, 4, 0, 1, 0, 3, 3, 1, 3, 3, 0, 3, 0, 1, 2, 2, 1, 3, 3, 3, 4, 4, 0, 4, 1, 4, 3, 4, 1, 1, 1, 1, 4, 3, 4, 2, 2, 0, 2, 0, 0, 0, 4, 2, 2, 3, 0, 0, 1, 2, 4, 3, 3, 3, 2, 2, 3, 3, 4, 2, 1, 4, 0, 3, 4, 2, 0, 1, 2, 3, 1, 3, 0, 4, 3, 1, 3, 1, 2, 1, 4, 4, 0, 3, 1, 2, 3, 2, 2, 4, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 3, 0, 3, 3, 3, 4, 1, 4, 3, 2, 4, 3, 4, 3, 0, 1, 0, 4, 3, 0, 3, 4, 0, 0, 4, 0, 3, 0, 0, 0, 2, 2, 4, 2, 2, 4, 4, 2, 0, 0, 0, 3, 1, 3, 2, 4, 1, 1, 2, 3, 4, 4, 2, 4, 3, 4, 2, 3, 0, 3, 0, 3, 0, 2, 3, 0, 3, 2, 0, 3, 3, 3, 0, 4, 4, 3, 0, 1, 0, 2, 3, 1, 1, 3, 4, 2, 2, 3, 3, 4, 2, 0, 2, 3, 4, 0, 1, 4, 3, 3, 1, 2, 0, 0, 1, 0, 4, 1, 4, 3, 2, 1, 4, 4, 4, 4, 1, 4, 3, 4, 3, 4, 2, 0, 0, 3, 3, 4, 0, 0, 4, 1, 3, 1, 0, 3, 4, 2, 3, 4, 4, 3, 1, 0, 1, 2, 1, 4, 2, 2, 1] pubkeycol1156 = [4, 1, 3, 4, 0, 2, 1, 0, 2, 4, 4, 0, 4, 4, 3, 0, 3, 0, 1, 0, 2, 4, 4, 1, 3, 3, 4, 3, 3, 4, 0, 4, 2, 1, 0, 4, 4, 3, 1, 3, 4, 2, 1, 3, 1, 2, 4, 1, 4, 1, 4, 3, 3, 2, 0, 3, 1, 0, 4, 4, 3, 3, 4, 1, 2, 2, 1, 1, 3, 4, 2, 1, 1, 4, 1, 4, 3, 0, 2, 3, 1, 3, 4, 2, 0, 3, 4, 3, 1, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 4, 1, 0, 4, 4, 0, 4, 3, 4, 3, 1, 3, 3, 1, 0, 1, 0, 1, 2, 2, 3, 2, 0, 2, 3, 0, 2, 4, 2, 2, 3, 1, 4, 2, 2, 3, 4, 3, 3, 0, 4, 1, 0, 4, 2, 4, 4, 0, 4, 3, 0, 1, 0, 1, 0, 4, 1, 0, 2, 4, 2, 0, 1, 0, 1, 1, 2, 4, 0, 3, 2, 0, 4, 2, 2, 4, 4, 0, 1, 2, 0, 2, 1, 3, 3, 1, 2, 0, 0, 4, 4, 0, 1, 4, 1, 2, 1, 4, 0, 2, 4, 4, 1, 4, 0, 2, 1, 4, 2, 4, 0, 0, 2, 1, 4, 0, 2, 0, 0, 3, 3, 0, 2, 4, 4, 0, 2, 4, 1, 3, 4, 2, 1, 1, 3, 0, 1, 1, 2, 2, 1, 1, 4, 1, 3, 4, 4, 1, 4, 3, 2, 1, 1, 1, 1, 4, 0, 4, 3, 1, 0, 2, 3, 0, 1, 4, 0, 3, 0, 4, 3, 0, 0, 2, 3, 4, 4, 4, 0, 1, 2, 0, 0, 1, 3, 0, 0, 3, 0, 3, 1, 2, 2, 3, 0, 0, 3, 4, 1, 3, 1, 0, 4, 3, 2, 4, 4, 0, 4, 3, 0, 3, 3, 2, 1, 4, 0, 4, 2, 4, 1, 4, 2, 2, 2, 3, 1, 0, 4, 3, 2, 1, 0, 1, 4, 3, 1, 3, 4, 4, 0, 0, 4, 3, 0, 4, 0, 0, 3, 4, 1, 0, 1, 0, 2, 2, 4, 2, 1, 0, 1, 0, 3, 1, 3, 4, 2, 4, 0, 2, 0, 2, 3, 0, 0, 0, 1, 1, 0, 1, 1, 3, 0, 1, 2, 2, 0, 0, 2, 4, 2, 4, 4, 3, 3, 2, 0, 4, 2, 3] pubkeycol1157 = [0, 2, 0, 0, 1, 1, 2, 0, 1, 3, 1, 3, 1, 0, 0, 0, 2, 4, 4, 3, 2, 3, 2, 3, 3, 3, 0, 1, 0, 1, 3, 4, 1, 3, 1, 3, 3, 0, 2, 0, 4, 4, 3, 3, 2, 4, 0, 4, 3, 2, 4, 0, 1, 4, 3, 1, 1, 0, 4, 0, 3, 4, 1, 3, 4, 0, 4, 4, 3, 0, 2, 0, 1, 1, 2, 1, 0, 3, 3, 0, 3, 2, 2, 0, 4, 0, 1, 1, 2, 2, 3, 2, 3, 2, 2, 0, 1, 3, 3, 2, 0, 4, 0, 1, 1, 3, 1, 0, 0, 4, 2, 3, 4, 4, 3, 1, 2, 0, 2, 0, 1, 4, 2, 1, 1, 3, 2, 0, 2, 1, 1, 3, 0, 2, 0, 2, 1, 3, 2, 1, 4, 1, 4, 1, 0, 4, 3, 1, 2, 3, 1, 1, 3, 3, 0, 0, 3, 0, 0, 0, 2, 3, 1, 2, 4, 3, 0, 2, 0, 2, 4, 0, 3, 1, 1, 1, 4, 0, 3, 3, 2, 3, 3, 1, 2, 1, 4, 0, 1, 3, 3, 3, 2, 2, 3, 0, 1, 1, 1, 4, 2, 3, 1, 1, 1, 2, 0, 4, 2, 2, 1, 0, 2, 2, 0, 4, 2, 2, 0, 0, 0, 4, 4, 2, 1, 3, 2, 0, 4, 4, 2, 0, 3, 3, 0, 3, 3, 4, 1, 1, 4, 0, 0, 0, 0, 2, 3, 0, 3, 1, 0, 0, 4, 1, 4, 1, 1, 4, 1, 2, 4, 2, 3, 1, 0, 2, 4, 4, 1, 2, 4, 4, 4, 2, 1, 3, 1, 4, 1, 3, 1, 3, 1, 0, 3, 2, 3, 0, 0, 3, 4, 4, 1, 2, 2, 0, 4, 4, 0, 1, 4, 3, 0, 1, 3, 1, 3, 0, 0, 1, 4, 0, 4, 1, 4, 3, 4, 2, 2, 1, 4, 1, 3, 3, 2, 0, 3, 2, 3, 4, 4, 2, 0, 0, 1, 4, 2, 0, 3, 1, 4, 2, 0, 4, 3, 2, 2, 3, 4, 1, 1, 4, 2, 1, 0, 4, 4, 0, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 0, 3, 3, 0, 3, 2, 0, 4, 4, 0, 1, 0, 0, 2, 2, 1, 3, 1, 0, 0, 3, 2, 0, 4, 4, 0] pubkeycol1158 = [4, 4, 2, 4, 4, 4, 3, 4, 2, 0, 4, 4, 1, 1, 2, 0, 2, 3, 0, 3, 0, 4, 4, 3, 1, 3, 0, 3, 3, 1, 4, 0, 0, 1, 0, 4, 3, 3, 2, 1, 1, 0, 1, 0, 2, 2, 0, 3, 2, 4, 2, 0, 4, 4, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 3, 1, 0, 1, 2, 4, 4, 1, 0, 0, 3, 4, 4, 3, 3, 3, 4, 2, 2, 3, 1, 3, 0, 0, 2, 0, 0, 4, 2, 1, 4, 4, 3, 0, 0, 1, 1, 4, 3, 2, 1, 1, 3, 2, 2, 2, 2, 3, 4, 4, 3, 3, 1, 2, 4, 3, 4, 0, 2, 0, 1, 2, 4, 0, 1, 2, 1, 4, 4, 2, 4, 0, 2, 1, 3, 3, 0, 2, 0, 4, 2, 2, 1, 0, 4, 2, 0, 0, 4, 0, 1, 1, 2, 2, 4, 2, 4, 3, 0, 3, 4, 0, 3, 3, 2, 3, 0, 3, 1, 1, 0, 1, 1, 4, 4, 2, 1, 3, 2, 3, 2, 2, 3, 1, 2, 0, 0, 1, 0, 3, 0, 1, 4, 2, 1, 0, 4, 3, 2, 3, 0, 4, 4, 1, 3, 4, 1, 3, 4, 1, 0, 2, 2, 4, 1, 1, 3, 3, 4, 3, 0, 0, 3, 0, 4, 1, 3, 4, 4, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 4, 3, 0, 4, 3, 0, 4, 2, 2, 2, 0, 4, 4, 3, 0, 2, 2, 1, 0, 3, 1, 4, 0, 1, 4, 2, 4, 4, 4, 3, 0, 3, 3, 4, 2, 0, 4, 4, 1, 1, 4, 4, 0, 4, 3, 3, 3, 3, 0, 0, 1, 4, 2, 0, 0, 1, 0, 2, 3, 3, 1, 2, 2, 4, 2, 4, 2, 2, 4, 2, 1, 1, 4, 3, 4, 2, 0, 0, 4, 0, 2, 1, 1, 3, 4, 0, 1, 3, 1, 4, 2, 0, 0, 1, 3, 0, 1, 2, 3, 2, 0, 4, 4, 2, 3, 0, 4, 2, 0, 0, 0, 1, 2, 1, 2, 3, 3, 0, 4, 2, 1, 1, 2, 4, 4, 3, 2, 4, 3, 0, 2, 2, 0, 0, 3, 3, 4, 0, 2, 1, 4, 0, 4, 2, 4, 0, 2, 2, 0, 3, 4, 1, 4, 2, 1, 0, 3] pubkeycol1159 = [4, 3, 1, 2, 0, 3, 0, 3, 3, 1, 4, 0, 0, 0, 3, 3, 3, 1, 4, 2, 1, 0, 1, 1, 2, 4, 2, 2, 0, 2, 2, 4, 1, 0, 2, 2, 1, 0, 4, 4, 0, 0, 1, 2, 2, 1, 3, 1, 3, 3, 3, 3, 1, 1, 3, 3, 2, 2, 1, 1, 2, 2, 0, 4, 1, 3, 2, 3, 0, 2, 4, 4, 1, 2, 4, 1, 4, 2, 2, 1, 1, 2, 1, 4, 0, 1, 4, 3, 2, 4, 4, 4, 1, 3, 2, 1, 3, 3, 2, 4, 1, 4, 3, 3, 1, 1, 0, 2, 3, 2, 3, 3, 4, 2, 3, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 3, 0, 2, 2, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 2, 3, 2, 2, 0, 3, 4, 0, 4, 1, 2, 3, 4, 3, 1, 0, 1, 0, 1, 4, 2, 4, 0, 1, 2, 4, 4, 0, 4, 2, 1, 0, 1, 0, 4, 3, 1, 1, 4, 1, 2, 4, 2, 4, 3, 1, 0, 3, 3, 0, 2, 0, 3, 3, 4, 1, 1, 4, 4, 4, 3, 3, 4, 4, 0, 1, 3, 3, 2, 0, 3, 3, 3, 0, 2, 2, 2, 2, 2, 4, 1, 0, 2, 3, 2, 4, 4, 4, 0, 1, 4, 2, 3, 1, 0, 0, 3, 2, 0, 1, 4, 3, 0, 2, 3, 2, 0, 0, 4, 4, 2, 1, 2, 0, 3, 2, 1, 3, 4, 3, 2, 3, 0, 3, 0, 0, 1, 4, 4, 3, 4, 2, 4, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 4, 0, 4, 3, 0, 1, 0, 0, 0, 4, 0, 2, 0, 0, 3, 0, 1, 4, 0, 2, 3, 4, 0, 0, 4, 3, 1, 1, 2, 1, 3, 0, 3, 1, 3, 4, 0, 4, 0, 4, 3, 0, 3, 4, 1, 3, 0, 4, 1, 1, 3, 3, 3, 0, 0, 4, 4, 4, 1, 3, 2, 2, 1, 3, 3, 3, 4, 1, 2, 2, 1, 3, 4, 4, 1, 1, 1, 4, 2, 4, 0, 2, 0, 3, 0, 3, 3, 2, 3, 0, 1, 0, 0, 3, 3, 1, 3, 4, 3, 2, 4, 1, 2, 3, 2, 0, 4, 1, 2, 0, 2, 1, 3, 0, 0, 1] pubkeycol1160 = [2, 1, 3, 2, 4, 3, 0, 1, 2, 2, 3, 4, 3, 2, 2, 2, 0, 3, 3, 2, 4, 2, 4, 1, 0, 4, 1, 1, 0, 4, 2, 3, 1, 0, 4, 2, 3, 1, 3, 3, 0, 1, 3, 2, 1, 3, 4, 2, 0, 0, 3, 4, 2, 0, 1, 1, 1, 4, 1, 1, 2, 1, 2, 3, 3, 0, 3, 3, 0, 0, 1, 4, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 4, 4, 1, 1, 4, 3, 2, 3, 4, 3, 1, 0, 0, 4, 3, 3, 0, 0, 0, 4, 0, 3, 0, 0, 3, 3, 0, 1, 2, 0, 0, 2, 4, 3, 0, 2, 1, 0, 2, 0, 2, 3, 1, 2, 4, 4, 1, 4, 4, 0, 1, 2, 0, 1, 4, 2, 2, 0, 0, 1, 2, 1, 4, 3, 0, 2, 1, 1, 2, 0, 4, 1, 3, 2, 3, 4, 3, 1, 0, 2, 2, 3, 0, 0, 0, 3, 1, 1, 4, 4, 3, 3, 1, 1, 3, 3, 4, 4, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 3, 0, 3, 2, 4, 1, 1, 0, 0, 0, 0, 3, 2, 1, 1, 0, 1, 0, 3, 0, 1, 4, 1, 3, 4, 2, 4, 3, 2, 1, 0, 4, 4, 2, 4, 1, 3, 3, 3, 1, 1, 3, 4, 4, 4, 2, 1, 1, 0, 4, 1, 1, 1, 3, 2, 4, 4, 4, 2, 0, 2, 4, 4, 1, 0, 1, 2, 0, 0, 4, 4, 4, 0, 4, 4, 3, 2, 3, 4, 0, 4, 2, 0, 1, 2, 3, 1, 1, 4, 4, 2, 1, 4, 1, 0, 1, 4, 0, 0, 0, 4, 1, 0, 4, 0, 2, 4, 2, 0, 4, 1, 2, 1, 3, 2, 3, 2, 4, 1, 3, 4, 1, 4, 4, 1, 3, 4, 0, 1, 4, 3, 3, 3, 1, 0, 4, 1, 0, 0, 4, 4, 4, 0, 2, 3, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 3, 0, 4, 1, 3, 1, 2, 4, 0, 1, 2, 3, 0, 2, 2, 3, 3, 4, 4, 4, 0, 3, 0, 0, 1, 0, 0, 1, 4, 4, 3, 1, 1, 3, 2, 0, 0, 0, 0, 2] pubkeycol1161 = [0, 1, 4, 4, 2, 1, 4, 4, 3, 2, 3, 1, 2, 0, 0, 4, 0, 0, 2, 2, 0, 3, 0, 1, 4, 0, 3, 3, 1, 4, 2, 3, 1, 0, 1, 4, 4, 0, 2, 3, 4, 1, 0, 4, 4, 4, 4, 4, 0, 4, 0, 1, 4, 3, 4, 3, 0, 1, 0, 3, 3, 3, 0, 4, 2, 3, 1, 0, 0, 1, 0, 3, 2, 4, 1, 1, 4, 2, 3, 2, 2, 4, 1, 3, 0, 4, 0, 0, 2, 1, 2, 3, 1, 1, 3, 4, 1, 3, 3, 4, 3, 0, 4, 1, 0, 4, 0, 0, 0, 0, 1, 1, 4, 1, 4, 2, 4, 0, 4, 0, 4, 4, 4, 3, 1, 4, 2, 4, 3, 3, 1, 0, 0, 4, 4, 2, 4, 2, 4, 3, 0, 3, 2, 3, 3, 2, 4, 1, 4, 1, 0, 0, 1, 3, 3, 1, 3, 1, 0, 4, 1, 1, 2, 4, 1, 3, 2, 1, 3, 1, 1, 4, 3, 2, 0, 1, 3, 2, 0, 2, 0, 2, 1, 1, 0, 4, 2, 4, 3, 4, 4, 3, 0, 4, 0, 0, 0, 0, 0, 1, 2, 0, 1, 4, 1, 4, 4, 3, 3, 0, 4, 4, 1, 0, 2, 1, 3, 4, 2, 3, 1, 2, 1, 2, 1, 2, 4, 4, 4, 0, 2, 0, 3, 2, 1, 1, 4, 0, 1, 4, 0, 2, 1, 3, 0, 1, 3, 4, 1, 0, 0, 3, 3, 1, 3, 3, 1, 4, 3, 0, 4, 3, 3, 2, 2, 1, 0, 3, 3, 0, 3, 0, 2, 2, 2, 3, 3, 3, 3, 2, 4, 0, 1, 1, 4, 4, 1, 2, 0, 0, 0, 4, 2, 0, 1, 4, 1, 0, 1, 1, 2, 4, 3, 3, 0, 3, 2, 0, 1, 2, 0, 3, 1, 1, 0, 4, 0, 3, 2, 0, 2, 2, 2, 3, 4, 1, 1, 0, 0, 3, 4, 2, 3, 1, 2, 2, 4, 0, 4, 2, 3, 0, 4, 3, 3, 1, 0, 0, 3, 3, 2, 0, 2, 4, 3, 2, 2, 0, 3, 0, 3, 0, 3, 4, 4, 0, 3, 4, 3, 0, 3, 0, 2, 0, 3, 2, 2, 0, 4, 2, 0, 1, 3, 1, 1, 3, 1, 4, 4, 4, 1, 3, 0, 0, 1, 4, 0, 0, 2, 1] pubkeycol1162 = [1, 4, 2, 4, 3, 2, 3, 1, 2, 4, 4, 3, 1, 0, 3, 4, 3, 1, 3, 4, 1, 1, 0, 3, 2, 4, 0, 4, 4, 0, 3, 2, 0, 4, 3, 4, 4, 4, 2, 4, 2, 1, 0, 4, 4, 4, 3, 0, 3, 1, 1, 4, 4, 1, 2, 0, 0, 0, 0, 3, 0, 3, 1, 0, 4, 2, 1, 2, 4, 0, 3, 4, 4, 0, 0, 2, 0, 4, 1, 4, 4, 3, 3, 4, 1, 1, 3, 2, 1, 4, 2, 4, 0, 2, 3, 2, 1, 2, 4, 2, 2, 1, 1, 0, 3, 4, 4, 3, 2, 3, 0, 4, 1, 0, 2, 2, 4, 0, 4, 0, 2, 1, 3, 0, 1, 1, 1, 3, 4, 3, 2, 2, 0, 3, 3, 1, 0, 4, 2, 4, 4, 0, 4, 3, 2, 2, 2, 3, 4, 2, 0, 4, 4, 4, 0, 3, 2, 4, 1, 2, 3, 1, 1, 2, 4, 1, 2, 0, 1, 2, 1, 3, 0, 4, 0, 1, 1, 2, 3, 0, 3, 3, 0, 3, 3, 0, 4, 3, 2, 2, 3, 3, 4, 1, 3, 4, 2, 0, 3, 0, 2, 2, 4, 1, 2, 3, 3, 3, 0, 0, 0, 1, 3, 4, 3, 3, 1, 3, 1, 3, 1, 2, 1, 2, 0, 2, 2, 3, 0, 1, 4, 4, 4, 2, 0, 1, 4, 2, 1, 1, 4, 1, 3, 4, 0, 3, 1, 2, 3, 0, 4, 1, 3, 2, 1, 4, 1, 2, 4, 2, 3, 4, 3, 3, 4, 4, 0, 2, 2, 0, 0, 1, 4, 0, 2, 3, 4, 4, 4, 3, 4, 0, 3, 2, 0, 1, 0, 2, 2, 4, 4, 1, 0, 3, 3, 4, 2, 0, 4, 4, 4, 2, 1, 0, 3, 0, 4, 4, 4, 1, 2, 0, 4, 1, 3, 0, 0, 2, 3, 2, 4, 4, 3, 1, 0, 0, 2, 1, 2, 2, 0, 3, 0, 3, 2, 2, 3, 3, 2, 1, 1, 4, 1, 3, 1, 1, 0, 4, 3, 3, 1, 3, 1, 4, 1, 4, 0, 0, 4, 2, 4, 0, 4, 1, 4, 3, 1, 0, 4, 3, 2, 3, 2, 2, 1, 2, 1, 3, 3, 2, 0, 4, 2, 3, 3, 3, 0, 3, 1, 4, 4, 3, 0, 4, 4, 4, 1, 4, 1, 4] pubkeycol1163 = [0, 3, 4, 4, 0, 3, 2, 0, 4, 0, 1, 3, 4, 4, 3, 2, 1, 3, 2, 4, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 4, 4, 4, 0, 1, 1, 0, 2, 1, 4, 3, 3, 3, 1, 1, 0, 2, 4, 3, 2, 1, 4, 2, 2, 4, 0, 1, 4, 4, 0, 4, 4, 2, 3, 3, 2, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 1, 3, 3, 3, 3, 2, 1, 1, 4, 2, 1, 4, 1, 0, 1, 3, 2, 0, 3, 1, 4, 1, 2, 4, 1, 3, 1, 3, 3, 1, 0, 0, 0, 0, 4, 0, 0, 0, 3, 1, 2, 3, 2, 1, 1, 0, 1, 4, 0, 1, 2, 4, 4, 0, 0, 3, 3, 3, 1, 3, 1, 0, 0, 4, 4, 3, 3, 2, 0, 3, 2, 4, 0, 2, 2, 1, 2, 2, 4, 0, 4, 2, 4, 1, 4, 4, 0, 2, 2, 2, 4, 3, 1, 2, 3, 4, 3, 4, 3, 3, 1, 4, 2, 2, 3, 3, 3, 1, 4, 4, 1, 3, 1, 1, 2, 4, 1, 3, 3, 0, 4, 4, 2, 4, 1, 2, 2, 2, 2, 1, 0, 1, 3, 3, 1, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 4, 4, 3, 1, 4, 1, 0, 1, 2, 0, 4, 1, 2, 4, 0, 1, 1, 2, 4, 3, 3, 3, 1, 2, 2, 1, 3, 4, 1, 4, 0, 1, 0, 3, 1, 2, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 1, 0, 2, 0, 0, 0, 4, 1, 3, 4, 1, 3, 3, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 3, 2, 4, 0, 4, 2, 3, 0, 2, 1, 4, 0, 1, 1, 3, 4, 2, 2, 1, 4, 0, 2, 2, 0, 3, 3, 0, 4, 0, 0, 3, 0, 2, 0, 1, 2, 4, 4, 1, 2, 4, 1, 1, 1, 3, 4, 1, 1, 2, 2, 1, 4, 1, 4, 4, 3, 1, 0, 0, 3, 2, 4, 0, 4, 4, 2, 0, 4, 2, 3, 1, 3, 4, 2, 4, 3, 0, 4, 1, 3, 1, 0, 0, 2, 2, 3, 0, 3, 4, 4, 2, 3, 3, 1, 3, 3, 3, 3, 0, 1, 0, 2, 4, 3, 1, 2] pubkeycol1164 = [0, 2, 0, 0, 2, 3, 0, 1, 1, 0, 1, 3, 3, 4, 1, 0, 2, 4, 3, 2, 0, 1, 3, 2, 3, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 4, 0, 0, 4, 4, 4, 3, 2, 4, 1, 0, 0, 0, 2, 2, 2, 4, 2, 4, 3, 2, 0, 2, 1, 3, 2, 3, 4, 3, 0, 0, 1, 4, 1, 1, 1, 0, 3, 2, 1, 0, 0, 3, 3, 3, 2, 0, 1, 0, 4, 3, 0, 4, 0, 2, 4, 0, 1, 1, 4, 2, 3, 3, 0, 4, 3, 3, 1, 0, 2, 0, 1, 1, 1, 2, 3, 4, 2, 3, 2, 1, 4, 2, 2, 4, 1, 3, 1, 1, 4, 1, 3, 2, 2, 4, 0, 3, 2, 1, 0, 3, 1, 2, 3, 3, 1, 2, 2, 1, 4, 0, 3, 0, 1, 2, 1, 1, 4, 0, 0, 0, 3, 2, 3, 0, 1, 1, 4, 0, 2, 2, 4, 1, 2, 4, 3, 0, 0, 2, 1, 4, 3, 3, 4, 2, 0, 2, 1, 4, 3, 1, 4, 1, 0, 1, 0, 1, 4, 4, 3, 1, 3, 0, 1, 4, 0, 2, 3, 3, 4, 0, 4, 2, 4, 2, 1, 4, 1, 2, 1, 4, 4, 3, 0, 4, 4, 3, 3, 0, 4, 0, 3, 4, 1, 0, 3, 4, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 4, 4, 3, 2, 1, 2, 2, 1, 0, 4, 1, 3, 4, 2, 1, 2, 2, 1, 3, 1, 1, 0, 1, 1, 1, 4, 2, 2, 0, 3, 0, 2, 1, 2, 3, 1, 3, 2, 1, 4, 3, 0, 4, 3, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 4, 2, 3, 2, 1, 0, 1, 2, 0, 1, 1, 3, 2, 0, 1, 0, 4, 1, 2, 2, 2, 0, 2, 1, 1, 3, 0, 3, 1, 0, 4, 1, 3, 3, 3, 1, 3, 3, 4, 0, 1, 4, 4, 0, 1, 1, 4, 2, 3, 0, 1, 0, 0, 2, 0, 2, 2, 0, 3, 1, 4, 4, 2, 3, 2, 0, 4, 3, 2, 0, 1, 4, 1, 4, 0, 1, 2, 1, 3, 1, 0, 1, 2, 4, 3, 2, 3, 2, 1, 0, 4, 3, 1, 1, 1, 4, 2, 1] pubkeycol1165 = [1, 3, 4, 2, 1, 2, 0, 3, 2, 1, 4, 2, 0, 4, 4, 4, 2, 2, 3, 1, 4, 2, 0, 4, 2, 2, 3, 1, 0, 4, 3, 1, 4, 4, 2, 2, 3, 1, 0, 4, 4, 4, 0, 4, 4, 3, 2, 2, 3, 0, 1, 1, 1, 2, 0, 4, 3, 1, 4, 0, 1, 2, 3, 1, 4, 1, 1, 0, 0, 0, 3, 1, 3, 4, 3, 4, 4, 1, 0, 1, 4, 3, 1, 0, 4, 2, 3, 0, 4, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 2, 2, 0, 2, 3, 0, 2, 3, 4, 4, 2, 0, 0, 4, 1, 1, 2, 3, 3, 0, 0, 1, 0, 4, 2, 3, 4, 0, 1, 2, 2, 2, 2, 3, 4, 0, 2, 0, 4, 3, 1, 2, 4, 1, 1, 2, 2, 3, 0, 2, 4, 2, 4, 3, 2, 2, 4, 1, 3, 4, 4, 0, 4, 1, 2, 2, 4, 0, 0, 3, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 4, 4, 1, 0, 1, 0, 0, 1, 3, 3, 0, 4, 1, 4, 4, 4, 0, 1, 1, 4, 3, 0, 4, 0, 3, 1, 3, 1, 4, 3, 2, 1, 1, 0, 1, 3, 2, 0, 1, 0, 2, 0, 4, 2, 1, 3, 4, 3, 2, 0, 2, 1, 3, 2, 4, 2, 3, 0, 1, 3, 0, 2, 3, 2, 0, 0, 0, 4, 3, 3, 4, 3, 2, 2, 4, 4, 0, 0, 3, 0, 1, 2, 0, 4, 0, 1, 4, 4, 0, 1, 1, 3, 3, 2, 4, 4, 1, 3, 3, 0, 1, 3, 4, 2, 0, 0, 1, 3, 2, 1, 0, 2, 1, 1, 2, 0, 3, 0, 1, 3, 4, 0, 0, 4, 3, 1, 1, 1, 4, 0, 4, 1, 3, 0, 1, 4, 2, 3, 4, 1, 1, 1, 4, 4, 3, 2, 1, 3, 0, 3, 4, 3, 3, 1, 2, 3, 2, 0, 1, 2, 1, 3, 1, 1, 4, 0, 3, 4, 3, 0, 2, 2, 3, 4, 0, 2, 0, 2, 3, 1, 3, 3, 4, 1, 1, 2, 1, 3, 1, 1, 0, 2, 4, 0, 2, 4, 3, 3, 3, 0, 1, 3, 4, 3, 1, 0, 3, 2, 0, 2, 2, 0, 3, 1, 2, 1, 3, 1, 2, 2, 1] pubkeycol1166 = [3, 3, 3, 0, 2, 2, 4, 1, 2, 1, 4, 3, 4, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 4, 0, 2, 3, 1, 3, 3, 2, 2, 4, 2, 1, 4, 1, 0, 1, 4, 4, 4, 4, 0, 1, 4, 2, 3, 3, 2, 2, 3, 2, 0, 1, 4, 1, 2, 0, 1, 2, 0, 2, 2, 1, 4, 4, 2, 4, 0, 0, 2, 2, 0, 4, 2, 2, 1, 2, 4, 0, 2, 4, 4, 1, 4, 1, 2, 2, 1, 4, 1, 3, 2, 2, 2, 0, 2, 3, 2, 1, 0, 1, 4, 0, 2, 1, 1, 2, 3, 0, 0, 0, 4, 1, 1, 2, 0, 3, 0, 4, 4, 0, 3, 4, 1, 2, 0, 2, 1, 0, 4, 1, 1, 1, 2, 2, 0, 3, 1, 0, 1, 1, 1, 3, 4, 1, 0, 2, 2, 4, 0, 0, 3, 3, 2, 3, 3, 0, 0, 4, 1, 1, 1, 4, 3, 4, 0, 4, 4, 2, 4, 4, 3, 4, 3, 1, 2, 2, 2, 1, 3, 1, 2, 4, 3, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 3, 4, 1, 0, 4, 1, 0, 3, 4, 1, 1, 3, 3, 1, 1, 2, 0, 2, 1, 1, 4, 1, 1, 3, 0, 4, 1, 0, 2, 2, 1, 4, 0, 3, 2, 4, 3, 3, 2, 0, 1, 0, 1, 3, 1, 3, 2, 0, 1, 1, 2, 3, 4, 2, 0, 4, 4, 3, 1, 2, 2, 0, 1, 1, 2, 0, 4, 4, 0, 4, 0, 4, 2, 3, 0, 3, 3, 3, 3, 0, 1, 2, 1, 2, 4, 1, 2, 0, 1, 3, 3, 2, 2, 3, 0, 3, 4, 3, 4, 3, 2, 0, 2, 2, 3, 2, 2, 0, 3, 2, 2, 0, 1, 4, 0, 0, 0, 0, 2, 0, 3, 3, 3, 0, 1, 1, 0, 0, 2, 3, 1, 2, 0, 3, 1, 2, 1, 0, 4, 1, 1, 1, 3, 3, 1, 4, 0, 2, 0, 3, 4, 0, 1, 1, 2, 1, 1, 4, 2, 0, 0, 4, 0, 0, 0, 3, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 4, 1, 4, 2, 3, 3, 0, 4, 0, 2, 1, 1, 1, 0, 4, 4, 4, 4, 2, 1, 3, 2] pubkeycol1167 = [0, 3, 3, 1, 2, 1, 2, 1, 3, 0, 0, 4, 2, 0, 4, 0, 4, 3, 3, 3, 4, 4, 3, 1, 0, 3, 1, 3, 0, 4, 3, 0, 4, 4, 4, 4, 2, 4, 1, 3, 4, 4, 4, 1, 1, 0, 3, 2, 2, 0, 0, 2, 0, 2, 4, 2, 2, 3, 2, 3, 0, 2, 0, 1, 2, 4, 0, 4, 3, 0, 4, 0, 2, 3, 3, 4, 2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 3, 2, 4, 2, 0, 1, 2, 2, 4, 2, 0, 2, 0, 3, 4, 1, 3, 0, 2, 1, 3, 1, 0, 4, 1, 0, 1, 4, 3, 3, 4, 0, 2, 2, 2, 0, 1, 4, 3, 4, 0, 2, 0, 2, 2, 2, 4, 1, 3, 3, 0, 4, 0, 3, 1, 1, 3, 2, 1, 1, 4, 4, 4, 3, 0, 4, 0, 2, 1, 2, 0, 0, 2, 1, 1, 3, 1, 1, 2, 2, 1, 3, 1, 4, 1, 0, 1, 1, 4, 2, 1, 1, 2, 1, 3, 2, 2, 0, 0, 3, 1, 0, 0, 4, 1, 4, 3, 2, 4, 0, 4, 4, 2, 2, 2, 3, 0, 3, 2, 2, 2, 2, 1, 2, 1, 4, 0, 0, 0, 1, 2, 0, 4, 3, 2, 4, 1, 3, 0, 0, 2, 0, 0, 0, 1, 2, 1, 4, 2, 3, 1, 1, 3, 2, 0, 4, 4, 0, 0, 4, 4, 4, 2, 1, 0, 3, 1, 4, 3, 1, 1, 3, 1, 0, 4, 2, 1, 3, 1, 1, 3, 2, 3, 1, 4, 0, 1, 4, 4, 0, 0, 3, 4, 2, 1, 0, 3, 0, 0, 4, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 3, 1, 3, 2, 3, 2, 4, 3, 3, 3, 3, 4, 0, 0, 2, 1, 0, 3, 4, 2, 3, 1, 2, 3, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 3, 3, 3, 2, 4, 2, 4, 2, 2, 2, 0, 3, 1, 3, 0, 3, 4, 0, 4, 3, 0, 4, 1, 1, 2, 0, 0, 1, 2, 2, 3, 0, 2, 0, 0, 4, 2, 0, 0, 1, 3, 4, 3, 3, 1, 0, 0, 0, 2, 4, 0, 3, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 4] pubkeycol1168 = [2, 1, 3, 1, 3, 0, 0, 2, 0, 2, 3, 4, 1, 4, 1, 2, 4, 2, 3, 1, 4, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 1, 1, 2, 3, 3, 3, 1, 4, 1, 0, 2, 1, 0, 0, 2, 1, 1, 4, 4, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 4, 0, 3, 0, 4, 4, 2, 3, 3, 1, 2, 1, 0, 1, 3, 3, 0, 4, 3, 1, 1, 1, 0, 4, 3, 3, 3, 2, 3, 2, 0, 2, 3, 2, 2, 3, 4, 0, 4, 2, 0, 0, 2, 3, 3, 2, 2, 1, 3, 1, 2, 2, 0, 3, 0, 4, 1, 3, 0, 0, 1, 3, 4, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 4, 4, 3, 4, 4, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 3, 1, 4, 3, 0, 0, 2, 1, 1, 3, 1, 1, 4, 4, 2, 4, 2, 3, 3, 3, 0, 1, 4, 3, 3, 2, 2, 4, 1, 1, 4, 2, 3, 2, 1, 0, 4, 0, 2, 4, 2, 0, 0, 3, 3, 4, 2, 2, 0, 3, 0, 4, 0, 2, 4, 1, 2, 2, 2, 3, 0, 4, 4, 1, 2, 1, 0, 3, 4, 4, 2, 4, 0, 2, 1, 2, 0, 3, 1, 0, 3, 2, 3, 3, 3, 1, 1, 3, 2, 2, 3, 2, 0, 3, 1, 0, 3, 2, 2, 3, 1, 4, 3, 3, 2, 4, 1, 2, 2, 2, 3, 3, 3, 2, 4, 0, 0, 3, 4, 3, 0, 0, 1, 4, 2, 4, 0, 2, 4, 4, 4, 3, 1, 3, 1, 0, 3, 4, 0, 4, 0, 1, 0, 3, 1, 1, 3, 0, 4, 1, 3, 3, 3, 4, 3, 0, 0, 2, 2, 4, 1, 3, 2, 0, 0, 3, 3, 0, 3, 2, 4, 0, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 0, 2, 4, 1, 3, 4, 0, 2, 1, 2, 0, 3, 1, 4, 4, 2, 2, 2, 2, 1, 0, 1, 2, 4, 0, 3, 1, 4, 0, 2, 4, 1, 0, 2, 1, 4, 1, 3, 2, 0, 0, 3, 1, 1, 4, 0, 2, 0, 4, 1, 1, 1, 3, 0, 0, 3, 0, 0, 1, 3, 2, 2, 4, 2, 0] pubkeycol1169 = [1, 2, 2, 3, 2, 0, 3, 1, 3, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 4, 1, 0, 4, 4, 4, 0, 1, 0, 0, 4, 4, 2, 3, 0, 4, 4, 3, 0, 3, 2, 2, 0, 1, 1, 4, 1, 1, 4, 4, 0, 4, 4, 3, 0, 0, 2, 4, 3, 4, 4, 1, 4, 1, 2, 0, 0, 3, 1, 4, 0, 2, 1, 2, 1, 0, 3, 1, 4, 2, 4, 4, 4, 1, 2, 2, 1, 1, 2, 1, 3, 4, 2, 2, 4, 4, 1, 3, 4, 1, 4, 1, 0, 1, 2, 1, 2, 3, 1, 1, 1, 2, 2, 4, 2, 4, 1, 4, 0, 3, 0, 3, 1, 1, 3, 0, 4, 1, 1, 1, 2, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 2, 2, 3, 2, 1, 2, 1, 3, 2, 0, 1, 1, 1, 2, 2, 1, 0, 4, 4, 0, 2, 1, 2, 3, 1, 4, 0, 4, 2, 2, 3, 0, 0, 4, 4, 4, 1, 1, 3, 3, 0, 0, 2, 1, 4, 0, 1, 1, 1, 2, 4, 3, 0, 0, 1, 4, 1, 4, 4, 1, 2, 3, 1, 4, 2, 0, 3, 3, 2, 2, 1, 2, 0, 0, 3, 3, 3, 1, 1, 3, 3, 1, 2, 0, 0, 2, 2, 4, 3, 3, 4, 0, 2, 2, 2, 4, 4, 0, 2, 4, 3, 3, 4, 0, 3, 1, 2, 2, 1, 0, 4, 4, 4, 2, 4, 1, 2, 1, 1, 3, 1, 3, 1, 3, 0, 4, 0, 4, 3, 2, 0, 2, 1, 3, 1, 2, 2, 1, 3, 2, 0, 3, 4, 3, 0, 0, 1, 4, 1, 1, 1, 0, 3, 4, 3, 2, 2, 0, 3, 0, 0, 1, 0, 3, 1, 4, 0, 3, 1, 4, 1, 0, 1, 4, 2, 1, 2, 2, 2, 0, 3, 3, 3, 1, 4, 4, 0, 0, 4, 4, 1, 4, 3, 3, 3, 3, 2, 3, 2, 0, 1, 0, 2, 0, 4, 1, 2, 1, 4, 4, 2, 0, 3, 2, 3, 0, 3, 0, 1, 1, 1, 3, 2, 4, 3, 3, 0, 0, 1, 3, 2, 2, 0, 0, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 4, 3, 0, 3, 4, 2, 4, 1, 4, 3, 1, 1, 2] pubkeycol1170 = [1, 4, 3, 2, 2, 3, 3, 4, 1, 3, 0, 0, 4, 2, 2, 4, 2, 1, 2, 4, 0, 4, 4, 0, 0, 0, 3, 4, 4, 3, 0, 0, 2, 0, 2, 0, 4, 0, 1, 1, 1, 4, 3, 2, 1, 4, 4, 2, 3, 1, 0, 4, 1, 1, 3, 4, 2, 1, 0, 3, 2, 4, 2, 3, 1, 4, 0, 4, 1, 0, 2, 3, 0, 3, 0, 2, 1, 1, 4, 3, 1, 1, 1, 0, 1, 1, 1, 4, 2, 1, 2, 2, 4, 0, 4, 3, 2, 0, 4, 3, 0, 4, 1, 4, 4, 2, 1, 2, 4, 1, 3, 1, 1, 4, 0, 2, 0, 2, 2, 1, 3, 1, 1, 0, 2, 0, 2, 3, 0, 4, 3, 0, 2, 2, 1, 4, 4, 2, 2, 4, 2, 3, 2, 2, 0, 4, 4, 2, 0, 3, 2, 3, 2, 3, 0, 2, 3, 0, 1, 4, 0, 1, 3, 4, 4, 0, 2, 1, 3, 0, 4, 0, 1, 4, 2, 4, 2, 4, 0, 0, 3, 0, 0, 3, 3, 0, 0, 1, 0, 4, 4, 3, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 3, 2, 2, 1, 0, 0, 0, 4, 1, 1, 4, 3, 4, 2, 0, 1, 0, 3, 0, 3, 3, 3, 0, 3, 4, 0, 4, 3, 1, 3, 2, 2, 3, 3, 4, 1, 4, 2, 0, 1, 0, 3, 3, 2, 2, 3, 3, 3, 3, 4, 2, 0, 1, 0, 4, 2, 2, 1, 2, 4, 4, 1, 2, 1, 3, 0, 2, 0, 2, 2, 1, 4, 3, 4, 3, 4, 3, 3, 3, 1, 4, 2, 1, 2, 3, 0, 0, 3, 4, 0, 4, 3, 2, 1, 2, 0, 2, 2, 0, 4, 4, 3, 1, 2, 3, 3, 2, 3, 2, 1, 2, 0, 1, 2, 1, 3, 0, 1, 1, 0, 1, 0, 1, 1, 1, 4, 4, 4, 2, 1, 0, 3, 1, 1, 3, 2, 3, 2, 3, 1, 4, 3, 4, 0, 1, 2, 3, 3, 2, 2, 0, 2, 0, 4, 4, 4, 2, 4, 4, 3, 3, 4, 2, 4, 2, 0, 4, 0, 1, 2, 2, 4, 0, 3, 1, 1, 2, 3, 4, 0, 2, 2, 1, 0, 2, 1, 2, 1, 3, 4, 0, 1, 4, 2, 3, 3, 3, 0] pubkeycol1171 = [2, 2, 2, 4, 3, 0, 0, 3, 1, 4, 0, 3, 3, 2, 1, 1, 0, 1, 3, 3, 1, 1, 1, 0, 3, 1, 2, 0, 3, 0, 1, 1, 2, 1, 3, 1, 2, 4, 2, 0, 2, 4, 2, 2, 0, 3, 2, 4, 0, 2, 3, 2, 2, 2, 0, 0, 4, 0, 3, 4, 0, 1, 0, 1, 0, 3, 2, 3, 4, 0, 0, 4, 3, 4, 0, 1, 1, 1, 0, 0, 0, 2, 4, 0, 2, 2, 3, 2, 2, 2, 4, 3, 0, 0, 0, 0, 0, 4, 0, 4, 0, 3, 2, 4, 1, 0, 0, 3, 0, 4, 0, 1, 3, 2, 0, 4, 4, 1, 2, 0, 2, 4, 4, 2, 3, 3, 3, 1, 0, 2, 1, 4, 4, 2, 1, 1, 2, 0, 4, 0, 3, 2, 0, 1, 2, 3, 3, 2, 4, 0, 1, 0, 2, 1, 3, 1, 4, 3, 4, 0, 1, 2, 2, 4, 4, 0, 2, 3, 4, 3, 4, 1, 0, 4, 1, 4, 1, 3, 0, 1, 2, 1, 4, 0, 4, 0, 3, 1, 0, 2, 2, 2, 0, 4, 4, 1, 3, 3, 0, 1, 0, 2, 2, 3, 0, 2, 0, 4, 1, 1, 1, 1, 0, 4, 0, 3, 2, 1, 2, 1, 4, 4, 0, 3, 3, 1, 1, 0, 3, 3, 4, 0, 0, 4, 1, 4, 1, 1, 1, 2, 3, 1, 4, 1, 4, 2, 3, 1, 0, 2, 4, 4, 3, 4, 3, 3, 3, 2, 4, 2, 3, 1, 0, 1, 2, 1, 3, 3, 3, 3, 1, 3, 0, 3, 0, 3, 2, 4, 4, 4, 0, 3, 3, 1, 4, 4, 0, 3, 4, 4, 0, 1, 2, 0, 1, 4, 0, 3, 0, 4, 2, 1, 3, 0, 3, 0, 0, 4, 0, 2, 1, 4, 3, 1, 4, 3, 3, 2, 1, 0, 2, 3, 3, 1, 0, 3, 4, 0, 3, 4, 4, 0, 3, 4, 3, 2, 3, 1, 0, 0, 1, 3, 0, 2, 2, 1, 1, 3, 1, 1, 2, 1, 3, 2, 2, 1, 4, 2, 4, 4, 4, 4, 3, 3, 4, 4, 1, 2, 1, 3, 2, 3, 4, 1, 0, 3, 4, 0, 2, 4, 3, 3, 4, 1, 3, 1, 0, 4, 3, 1, 0, 0, 2, 4, 4, 2, 0, 1, 4, 0] pubkeycol1172 = [0, 4, 0, 0, 0, 0, 2, 4, 1, 3, 4, 0, 3, 4, 1, 1, 0, 3, 0, 3, 3, 1, 0, 0, 1, 4, 4, 4, 1, 1, 1, 0, 1, 1, 1, 3, 0, 2, 0, 0, 0, 2, 1, 1, 3, 1, 0, 4, 3, 3, 2, 1, 2, 1, 2, 0, 3, 0, 3, 0, 3, 4, 4, 0, 0, 4, 1, 4, 4, 4, 0, 3, 1, 1, 0, 3, 3, 0, 0, 3, 2, 3, 4, 0, 0, 3, 4, 2, 1, 2, 4, 0, 1, 3, 3, 0, 0, 3, 3, 4, 3, 3, 3, 2, 3, 4, 0, 3, 4, 0, 2, 3, 4, 4, 4, 2, 0, 2, 4, 3, 3, 2, 4, 3, 1, 1, 4, 3, 4, 2, 2, 0, 2, 0, 1, 0, 0, 1, 3, 0, 3, 0, 0, 0, 4, 1, 3, 0, 1, 0, 0, 4, 0, 3, 3, 2, 3, 3, 3, 0, 4, 4, 1, 1, 3, 0, 1, 2, 4, 3, 0, 1, 4, 3, 2, 4, 3, 4, 2, 3, 4, 1, 0, 4, 1, 2, 1, 3, 4, 2, 3, 1, 3, 2, 4, 2, 0, 2, 2, 0, 0, 3, 2, 4, 1, 4, 1, 2, 1, 1, 4, 1, 0, 0, 3, 1, 0, 0, 0, 3, 4, 2, 2, 4, 2, 0, 3, 4, 4, 1, 2, 1, 2, 1, 0, 1, 4, 0, 3, 2, 4, 2, 0, 0, 1, 2, 4, 0, 0, 2, 1, 2, 4, 4, 4, 1, 4, 4, 2, 4, 4, 3, 3, 0, 3, 1, 4, 0, 4, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 1, 1, 4, 2, 2, 3, 1, 0, 3, 2, 0, 1, 1, 3, 0, 4, 3, 3, 0, 2, 3, 0, 2, 4, 3, 3, 0, 4, 3, 0, 4, 4, 1, 0, 2, 4, 1, 0, 4, 1, 4, 2, 0, 4, 1, 4, 4, 3, 0, 0, 2, 0, 0, 1, 1, 3, 2, 0, 4, 1, 0, 3, 3, 4, 0, 2, 2, 2, 3, 1, 1, 0, 1, 2, 2, 1, 0, 3, 2, 4, 3, 4, 1, 3, 0, 2, 1, 4, 4, 3, 4, 3, 0, 0, 4, 2, 0, 2, 1, 2, 0, 3, 1, 2, 3, 3, 3, 0, 3, 3, 2, 3, 0, 1, 3, 0, 3, 2, 4, 4, 3] pubkeycol1173 = [0, 4, 0, 3, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 4, 0, 3, 3, 0, 3, 3, 0, 2, 3, 1, 4, 1, 1, 0, 2, 1, 1, 3, 2, 0, 3, 0, 3, 1, 4, 4, 1, 1, 2, 3, 0, 1, 4, 1, 4, 1, 4, 0, 4, 2, 4, 4, 4, 2, 2, 4, 2, 4, 4, 2, 3, 3, 2, 2, 4, 3, 3, 1, 0, 3, 2, 2, 4, 1, 4, 0, 4, 0, 3, 4, 4, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 3, 2, 2, 4, 3, 0, 0, 3, 4, 3, 0, 3, 1, 2, 0, 4, 2, 4, 0, 1, 2, 3, 4, 1, 2, 3, 0, 1, 1, 0, 2, 4, 1, 3, 2, 4, 0, 2, 2, 4, 2, 1, 4, 0, 3, 1, 4, 4, 1, 0, 4, 1, 2, 4, 1, 1, 0, 2, 3, 0, 3, 2, 0, 0, 2, 4, 0, 4, 2, 0, 4, 4, 3, 4, 4, 2, 3, 1, 3, 3, 2, 3, 0, 3, 4, 0, 4, 2, 4, 3, 2, 0, 4, 2, 2, 0, 4, 0, 3, 0, 1, 1, 0, 3, 4, 3, 3, 4, 0, 2, 1, 0, 2, 0, 3, 2, 1, 1, 0, 3, 0, 0, 0, 1, 1, 3, 2, 2, 0, 4, 4, 1, 2, 1, 3, 4, 2, 4, 4, 4, 3, 0, 4, 1, 3, 4, 2, 2, 0, 1, 2, 0, 3, 2, 2, 0, 0, 0, 3, 2, 4, 4, 4, 0, 4, 2, 2, 3, 3, 2, 0, 4, 2, 2, 3, 3, 2, 4, 4, 3, 4, 4, 3, 4, 0, 3, 4, 4, 0, 3, 1, 0, 2, 4, 4, 1, 3, 1, 2, 4, 0, 4, 4, 4, 2, 1, 1, 4, 3, 1, 4, 1, 0, 2, 4, 1, 3, 3, 1, 1, 2, 1, 0, 4, 3, 1, 4, 0, 2, 1, 2, 4, 3, 4, 3, 4, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 3, 3, 2, 1, 0, 3, 3, 3, 1, 1, 2, 2, 1, 3, 3, 1, 2, 2, 4, 1, 3, 2, 2, 0, 3, 0, 2, 2, 1, 3, 3, 2, 3, 1, 0, 2, 0, 4, 1, 2, 2, 3, 3, 1, 3, 1, 3, 1, 4, 2, 4, 4, 3, 4, 1, 3, 1, 1] pubkeycol1174 = [2, 2, 3, 2, 2, 0, 2, 3, 1, 1, 4, 1, 3, 3, 4, 4, 2, 3, 1, 2, 2, 0, 1, 2, 2, 1, 4, 0, 0, 2, 2, 4, 2, 3, 1, 3, 1, 0, 0, 2, 1, 1, 4, 2, 3, 2, 1, 0, 3, 2, 4, 1, 1, 1, 0, 1, 3, 3, 0, 3, 2, 1, 0, 2, 2, 1, 2, 4, 0, 0, 3, 3, 0, 4, 0, 4, 0, 0, 0, 0, 3, 4, 3, 2, 1, 0, 1, 4, 3, 1, 1, 4, 0, 4, 2, 2, 0, 3, 0, 1, 1, 0, 3, 2, 4, 4, 2, 2, 0, 4, 3, 0, 0, 4, 2, 1, 4, 0, 4, 1, 2, 3, 1, 3, 2, 1, 0, 4, 4, 3, 2, 1, 3, 3, 1, 1, 4, 3, 1, 4, 3, 2, 2, 2, 3, 3, 2, 1, 2, 0, 0, 1, 4, 1, 0, 2, 1, 1, 0, 0, 4, 2, 4, 2, 0, 3, 2, 1, 4, 0, 2, 3, 0, 2, 0, 3, 3, 2, 3, 3, 3, 0, 1, 2, 3, 1, 4, 1, 2, 0, 3, 3, 4, 0, 0, 3, 1, 1, 4, 4, 1, 4, 1, 2, 4, 2, 2, 2, 1, 1, 3, 3, 3, 1, 3, 3, 3, 1, 1, 0, 4, 0, 2, 4, 4, 4, 1, 4, 4, 4, 4, 1, 4, 0, 4, 4, 0, 1, 0, 3, 4, 1, 4, 0, 4, 2, 0, 2, 2, 0, 1, 3, 2, 4, 2, 4, 3, 3, 0, 2, 1, 4, 1, 4, 2, 0, 4, 2, 2, 2, 2, 3, 1, 3, 3, 2, 4, 1, 2, 0, 4, 0, 0, 3, 0, 2, 4, 1, 2, 1, 3, 2, 4, 0, 3, 1, 3, 3, 4, 4, 1, 0, 4, 3, 2, 4, 2, 2, 3, 4, 0, 0, 3, 0, 4, 1, 1, 1, 4, 4, 3, 0, 3, 4, 2, 0, 0, 0, 0, 1, 0, 1, 4, 3, 2, 0, 0, 3, 0, 3, 2, 4, 4, 4, 4, 3, 3, 3, 2, 3, 4, 4, 2, 3, 0, 2, 4, 0, 0, 1, 3, 3, 2, 1, 0, 1, 0, 0, 1, 4, 3, 2, 0, 0, 1, 4, 2, 4, 4, 1, 3, 0, 0, 3, 4, 3, 3, 3, 3, 2, 4, 0, 1, 4, 1, 0, 2, 2, 3, 3] pubkeycol1175 = [3, 0, 0, 1, 4, 0, 0, 4, 1, 3, 3, 4, 2, 3, 1, 0, 2, 3, 0, 0, 4, 4, 1, 1, 0, 4, 2, 0, 4, 1, 3, 4, 3, 0, 1, 2, 2, 3, 4, 0, 0, 1, 1, 2, 4, 3, 2, 3, 4, 3, 1, 2, 1, 0, 3, 4, 1, 4, 0, 0, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 0, 3, 0, 2, 1, 2, 2, 4, 0, 3, 1, 4, 3, 0, 3, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 4, 2, 2, 4, 0, 1, 0, 1, 3, 4, 2, 4, 0, 3, 1, 1, 1, 0, 0, 4, 3, 2, 2, 0, 4, 3, 0, 4, 2, 2, 0, 0, 0, 2, 2, 2, 1, 3, 4, 0, 2, 4, 3, 4, 2, 1, 0, 3, 4, 3, 0, 2, 3, 0, 1, 0, 0, 3, 0, 4, 1, 1, 1, 3, 3, 3, 2, 2, 0, 4, 4, 2, 4, 1, 2, 2, 3, 3, 3, 1, 1, 3, 2, 3, 1, 3, 1, 2, 3, 1, 1, 1, 1, 2, 4, 2, 4, 3, 0, 4, 4, 4, 3, 0, 4, 0, 2, 1, 3, 0, 2, 1, 0, 1, 4, 0, 3, 3, 2, 0, 4, 1, 3, 0, 4, 4, 4, 1, 3, 1, 0, 4, 2, 4, 2, 2, 0, 0, 0, 2, 1, 3, 3, 1, 0, 3, 2, 4, 2, 0, 0, 3, 3, 3, 4, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 3, 1, 2, 1, 1, 0, 1, 1, 4, 2, 2, 4, 4, 2, 4, 2, 2, 4, 0, 2, 0, 4, 2, 3, 1, 1, 3, 3, 2, 0, 0, 4, 2, 3, 3, 2, 4, 0, 4, 4, 1, 4, 3, 0, 4, 0, 0, 2, 4, 0, 0, 3, 4, 1, 4, 0, 3, 3, 1, 1, 1, 4, 2, 3, 1, 2, 4, 3, 2, 1, 0, 2, 3, 4, 3, 4, 2, 2, 2, 1, 2, 4, 2, 4, 2, 2, 3, 1, 3, 4, 3, 2, 1, 1, 0, 0, 2, 4, 3, 0, 1, 2, 3, 4, 4, 4, 1, 4, 4, 3, 3, 0, 4, 1, 2, 0, 1, 2, 4, 3, 3, 3, 1, 4, 3, 1, 1, 2, 0, 4] pubkeycol1176 = [2, 3, 3, 2, 3, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 4, 3, 4, 1, 3, 3, 2, 4, 1, 4, 0, 2, 1, 3, 4, 0, 0, 3, 4, 0, 1, 0, 2, 4, 2, 3, 2, 1, 2, 3, 4, 1, 0, 3, 2, 4, 4, 2, 0, 2, 0, 2, 0, 3, 3, 1, 3, 0, 2, 0, 0, 3, 1, 3, 2, 3, 1, 3, 0, 3, 0, 0, 3, 4, 2, 4, 3, 2, 4, 1, 2, 1, 3, 3, 3, 4, 0, 2, 3, 2, 1, 2, 1, 1, 4, 1, 4, 3, 1, 0, 2, 2, 4, 2, 1, 2, 2, 0, 0, 4, 2, 2, 3, 2, 0, 2, 0, 1, 1, 4, 0, 3, 2, 0, 4, 2, 0, 0, 0, 3, 3, 3, 4, 4, 2, 3, 1, 4, 1, 4, 1, 2, 1, 2, 3, 1, 1, 3, 0, 2, 2, 0, 4, 0, 4, 4, 1, 1, 3, 4, 2, 2, 4, 1, 4, 2, 3, 4, 4, 4, 0, 4, 2, 1, 1, 4, 0, 4, 4, 3, 1, 3, 3, 1, 0, 1, 2, 3, 0, 3, 1, 0, 3, 2, 1, 3, 3, 4, 1, 1, 1, 1, 2, 4, 4, 2, 4, 3, 4, 1, 3, 2, 3, 0, 2, 3, 3, 3, 3, 0, 2, 1, 4, 0, 0, 3, 4, 2, 1, 0, 3, 0, 2, 0, 4, 1, 3, 3, 0, 1, 3, 3, 2, 3, 4, 1, 3, 0, 4, 0, 2, 1, 1, 2, 0, 4, 3, 3, 2, 2, 4, 2, 4, 3, 1, 4, 1, 0, 3, 3, 1, 1, 4, 3, 2, 3, 4, 4, 2, 3, 1, 1, 0, 4, 2, 0, 2, 2, 3, 0, 2, 0, 0, 4, 2, 2, 0, 1, 1, 4, 2, 1, 4, 4, 0, 4, 4, 2, 0, 3, 0, 3, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 1, 1, 2, 4, 4, 1, 3, 3, 2, 3, 1, 4, 0, 0, 4, 2, 0, 1, 3, 2, 2, 4, 2, 4, 3, 3, 1, 4, 1, 1, 1, 0, 3, 1, 1, 3, 1, 3, 2, 3, 4, 1, 4, 3, 4, 1, 0, 2, 2, 1, 3, 1, 1, 3, 0, 4, 3, 3, 0, 3, 0, 3, 2, 1, 4, 3, 2, 3, 2, 1, 4, 3] pubkeycol1177 = [0, 2, 0, 2, 0, 1, 3, 3, 0, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 1, 0, 4, 2, 0, 1, 4, 0, 4, 2, 3, 3, 3, 1, 4, 2, 1, 2, 3, 4, 3, 4, 2, 0, 0, 4, 2, 1, 4, 4, 3, 2, 4, 3, 0, 4, 0, 4, 1, 1, 0, 1, 2, 3, 2, 4, 2, 3, 0, 3, 1, 2, 3, 4, 0, 4, 3, 1, 4, 1, 1, 3, 0, 1, 0, 0, 0, 1, 0, 2, 4, 1, 2, 2, 2, 3, 4, 3, 2, 0, 2, 0, 0, 4, 0, 2, 3, 4, 2, 4, 4, 4, 0, 1, 4, 3, 3, 4, 1, 4, 3, 1, 0, 2, 4, 1, 3, 1, 4, 3, 0, 2, 1, 4, 2, 4, 4, 1, 0, 3, 4, 0, 4, 0, 4, 3, 1, 2, 3, 3, 3, 3, 4, 4, 3, 0, 3, 1, 2, 4, 2, 1, 4, 2, 3, 0, 3, 4, 0, 0, 0, 0, 0, 0, 4, 2, 1, 3, 3, 2, 0, 1, 2, 0, 3, 2, 3, 4, 3, 1, 2, 4, 4, 2, 2, 1, 0, 3, 2, 4, 2, 1, 3, 4, 0, 3, 2, 1, 2, 4, 3, 1, 1, 4, 2, 2, 3, 4, 2, 1, 1, 3, 0, 4, 1, 2, 0, 0, 1, 2, 4, 3, 4, 1, 1, 4, 2, 3, 4, 0, 3, 0, 4, 3, 4, 4, 2, 0, 3, 1, 1, 4, 0, 4, 1, 1, 0, 4, 4, 3, 1, 3, 3, 0, 0, 1, 1, 4, 1, 2, 0, 1, 2, 4, 3, 3, 1, 0, 0, 4, 1, 1, 1, 4, 2, 2, 2, 4, 4, 4, 0, 1, 3, 4, 2, 3, 2, 0, 1, 4, 0, 2, 3, 2, 1, 0, 0, 4, 1, 4, 2, 2, 4, 2, 3, 0, 4, 4, 1, 0, 1, 4, 1, 3, 1, 0, 3, 2, 1, 1, 1, 3, 4, 2, 3, 2, 0, 1, 1, 1, 2, 1, 2, 0, 3, 1, 1, 4, 1, 4, 0, 3, 4, 2, 2, 1, 0, 2, 3, 0, 0, 3, 4, 2, 1, 1, 4, 4, 3, 4, 1, 4, 1, 2, 1, 1, 2, 0, 2, 4, 2, 1, 0, 2, 1, 1, 0, 2, 3, 4, 3, 3, 2, 4, 4, 2, 1, 1, 0, 3] pubkeycol1178 = [2, 1, 0, 1, 1, 0, 0, 3, 0, 1, 3, 2, 3, 3, 4, 0, 1, 2, 1, 3, 4, 3, 0, 2, 0, 4, 2, 1, 4, 0, 1, 0, 1, 4, 0, 0, 3, 2, 0, 0, 4, 3, 3, 0, 3, 3, 4, 4, 0, 1, 1, 4, 1, 1, 3, 3, 0, 0, 1, 2, 2, 1, 3, 3, 0, 4, 4, 3, 0, 4, 2, 2, 1, 4, 4, 0, 1, 4, 3, 4, 4, 1, 2, 3, 4, 0, 4, 2, 4, 1, 1, 4, 1, 4, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 3, 4, 1, 4, 1, 4, 1, 3, 2, 1, 4, 2, 2, 4, 0, 1, 3, 1, 2, 1, 0, 0, 0, 3, 1, 1, 0, 0, 1, 1, 2, 1, 2, 4, 0, 0, 3, 1, 2, 0, 4, 3, 3, 1, 1, 4, 4, 0, 2, 2, 0, 0, 3, 1, 2, 4, 1, 1, 0, 2, 2, 3, 1, 3, 2, 2, 3, 0, 3, 1, 0, 2, 0, 0, 0, 1, 3, 0, 3, 1, 0, 4, 4, 0, 4, 1, 2, 2, 1, 4, 0, 1, 4, 4, 4, 1, 0, 2, 2, 1, 3, 4, 3, 4, 0, 0, 1, 0, 3, 0, 1, 3, 1, 1, 0, 0, 4, 1, 0, 4, 2, 1, 3, 3, 0, 4, 3, 1, 1, 0, 1, 4, 0, 0, 4, 4, 2, 3, 1, 1, 0, 2, 2, 3, 4, 4, 2, 2, 0, 1, 0, 4, 1, 4, 0, 4, 2, 4, 0, 4, 1, 3, 1, 0, 4, 1, 2, 1, 0, 0, 1, 2, 4, 1, 0, 4, 2, 2, 1, 4, 2, 3, 1, 2, 0, 4, 1, 4, 0, 0, 3, 3, 4, 1, 0, 3, 4, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 4, 4, 3, 4, 3, 4, 1, 0, 3, 1, 0, 2, 2, 0, 3, 1, 3, 4, 2, 2, 2, 2, 1, 2, 4, 1, 4, 4, 1, 4, 3, 0, 3, 2, 2, 0, 2, 0, 3, 3, 4, 2, 2, 2, 1, 4, 1, 1, 1, 2, 1, 3, 4, 0, 1, 4, 0, 0, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 2, 2, 0, 0, 4, 4, 3, 1, 4, 2, 1, 1, 4, 4, 3, 0, 3, 2] pubkeycol1179 = [4, 0, 2, 0, 1, 2, 3, 1, 1, 4, 1, 2, 3, 0, 3, 2, 3, 3, 4, 4, 2, 0, 2, 2, 3, 4, 0, 4, 3, 2, 3, 0, 0, 2, 3, 3, 3, 1, 0, 3, 0, 4, 1, 2, 0, 4, 4, 3, 0, 2, 1, 2, 1, 0, 2, 4, 4, 4, 3, 4, 0, 4, 2, 1, 0, 4, 2, 3, 3, 1, 0, 3, 1, 1, 2, 2, 1, 4, 0, 2, 4, 2, 3, 1, 3, 2, 1, 3, 1, 1, 1, 1, 0, 0, 4, 1, 1, 1, 4, 1, 4, 2, 4, 4, 4, 2, 4, 0, 4, 2, 1, 0, 3, 1, 2, 2, 0, 4, 1, 2, 0, 1, 4, 4, 4, 1, 3, 1, 3, 2, 3, 1, 4, 0, 3, 2, 0, 3, 1, 4, 0, 2, 2, 1, 4, 4, 1, 0, 1, 1, 4, 2, 3, 1, 0, 4, 3, 1, 3, 3, 1, 3, 1, 0, 2, 2, 3, 4, 1, 2, 0, 1, 4, 0, 3, 3, 2, 2, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 4, 0, 1, 3, 2, 4, 0, 2, 4, 4, 2, 2, 2, 1, 3, 0, 3, 0, 4, 2, 0, 1, 2, 3, 3, 2, 3, 2, 4, 4, 1, 1, 0, 3, 3, 1, 4, 0, 3, 2, 1, 4, 4, 2, 0, 1, 4, 0, 1, 1, 1, 0, 3, 1, 3, 3, 0, 3, 0, 3, 2, 1, 0, 0, 2, 3, 4, 1, 2, 0, 0, 4, 1, 4, 0, 2, 3, 1, 4, 4, 0, 0, 4, 3, 2, 4, 3, 1, 4, 3, 1, 0, 2, 0, 2, 4, 1, 3, 0, 2, 3, 3, 4, 4, 2, 1, 1, 3, 2, 4, 4, 4, 4, 2, 2, 2, 2, 0, 4, 3, 1, 2, 0, 0, 1, 0, 4, 4, 4, 3, 0, 0, 3, 4, 0, 3, 0, 2, 4, 4, 3, 2, 0, 4, 2, 4, 0, 1, 3, 1, 2, 3, 4, 4, 1, 4, 4, 2, 4, 3, 3, 4, 2, 4, 2, 0, 1, 0, 2, 1, 4, 2, 1, 0, 4, 2, 2, 1, 3, 0, 0, 1, 4, 4, 0, 3, 0, 4, 3, 3, 4, 0, 2, 0, 0, 3, 3, 1, 0, 0, 2, 0, 1, 3, 1, 2, 4, 1, 2, 1, 4] pubkeycol1180 = [1, 0, 4, 3, 1, 2, 0, 2, 0, 2, 2, 2, 1, 3, 1, 4, 4, 1, 0, 1, 4, 3, 2, 2, 2, 3, 4, 0, 0, 3, 4, 0, 2, 1, 0, 0, 0, 4, 1, 3, 2, 3, 3, 1, 1, 2, 3, 3, 3, 3, 4, 2, 1, 4, 2, 3, 4, 3, 0, 2, 3, 3, 2, 4, 3, 4, 0, 3, 4, 4, 0, 4, 1, 4, 4, 0, 2, 4, 2, 2, 1, 2, 0, 0, 2, 2, 2, 4, 3, 0, 2, 0, 3, 0, 1, 1, 3, 4, 4, 2, 3, 1, 0, 0, 1, 1, 4, 1, 0, 2, 4, 0, 0, 0, 2, 4, 1, 4, 4, 0, 4, 1, 3, 3, 2, 3, 1, 0, 1, 0, 3, 0, 2, 1, 4, 0, 4, 4, 4, 3, 0, 1, 2, 0, 3, 1, 4, 4, 4, 2, 3, 1, 4, 4, 3, 2, 0, 4, 4, 2, 4, 0, 1, 4, 4, 4, 3, 3, 2, 4, 2, 4, 2, 1, 2, 1, 0, 0, 1, 4, 1, 2, 4, 4, 3, 0, 1, 0, 1, 4, 3, 3, 1, 0, 3, 1, 2, 1, 0, 2, 4, 3, 2, 0, 1, 3, 2, 0, 3, 0, 1, 3, 2, 1, 4, 4, 3, 4, 0, 3, 2, 1, 2, 2, 3, 0, 1, 1, 0, 1, 0, 1, 4, 4, 3, 1, 0, 1, 4, 3, 2, 2, 2, 0, 2, 1, 3, 2, 1, 0, 4, 0, 4, 3, 1, 2, 2, 3, 0, 4, 0, 0, 3, 0, 1, 3, 4, 4, 2, 3, 4, 3, 4, 3, 2, 4, 4, 2, 1, 3, 2, 1, 1, 0, 4, 0, 4, 1, 4, 1, 1, 1, 4, 2, 0, 0, 2, 1, 3, 4, 2, 0, 4, 1, 2, 3, 1, 0, 2, 2, 2, 2, 1, 4, 1, 0, 4, 2, 3, 1, 4, 1, 0, 0, 2, 2, 2, 1, 3, 1, 0, 3, 2, 4, 4, 1, 0, 1, 4, 0, 0, 0, 1, 4, 2, 2, 2, 4, 1, 3, 3, 4, 2, 0, 2, 1, 1, 4, 1, 1, 2, 3, 2, 4, 4, 1, 0, 3, 1, 3, 0, 2, 4, 0, 1, 3, 0, 0, 2, 1, 0, 2, 1, 3, 1, 3, 4, 0, 4, 2, 2, 2, 1, 0, 4, 1, 4, 2, 0, 3] pubkeycol1181 = [3, 2, 1, 2, 3, 1, 1, 4, 0, 1, 1, 3, 2, 4, 3, 4, 3, 0, 3, 3, 1, 1, 2, 0, 3, 0, 0, 0, 2, 3, 0, 1, 4, 0, 1, 3, 0, 2, 1, 2, 0, 3, 2, 2, 2, 3, 2, 3, 2, 4, 4, 3, 1, 4, 2, 3, 4, 3, 3, 3, 0, 1, 0, 1, 4, 3, 3, 2, 4, 4, 0, 0, 4, 4, 0, 3, 0, 2, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 4, 0, 2, 3, 3, 0, 3, 1, 1, 4, 2, 3, 1, 2, 4, 3, 0, 1, 3, 0, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 3, 3, 4, 4, 3, 3, 3, 1, 3, 0, 3, 3, 3, 1, 4, 1, 1, 4, 1, 4, 0, 2, 3, 0, 2, 1, 0, 3, 3, 4, 4, 2, 4, 0, 4, 4, 1, 3, 1, 1, 1, 1, 2, 0, 0, 0, 2, 3, 3, 2, 3, 0, 3, 4, 4, 0, 3, 2, 3, 1, 3, 0, 3, 4, 3, 2, 4, 3, 1, 3, 0, 3, 0, 0, 3, 0, 2, 3, 1, 1, 1, 2, 4, 3, 1, 2, 4, 2, 3, 3, 3, 4, 1, 2, 4, 0, 1, 0, 2, 2, 1, 3, 1, 0, 0, 0, 2, 4, 2, 2, 2, 4, 0, 2, 2, 2, 4, 1, 1, 0, 4, 0, 3, 4, 3, 4, 4, 1, 3, 1, 0, 0, 4, 0, 4, 4, 3, 1, 2, 4, 3, 2, 3, 3, 3, 4, 3, 4, 2, 3, 4, 0, 0, 2, 4, 3, 1, 3, 0, 0, 0, 1, 1, 2, 2, 1, 3, 3, 2, 1, 0, 0, 4, 1, 1, 0, 1, 2, 4, 3, 2, 3, 0, 2, 2, 0, 3, 4, 4, 3, 2, 0, 0, 3, 0, 0, 2, 2, 0, 2, 4, 3, 0, 1, 4, 2, 4, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 1, 3, 0, 1, 0, 4, 4, 2, 3, 1, 3, 4, 0, 3, 3, 2, 0, 0, 2, 1, 0, 2, 2, 4, 2, 3, 3, 3, 0, 3, 2, 0, 3, 4, 1, 1, 4, 1, 4, 4, 4, 1, 4, 3, 0, 4, 4, 3, 3, 2, 4, 4, 2, 4, 3, 3, 2, 4, 1, 0, 4, 1] pubkeycol1182 = [4, 1, 3, 4, 0, 1, 3, 1, 3, 2, 1, 1, 4, 0, 0, 0, 4, 1, 0, 1, 0, 1, 4, 1, 2, 3, 1, 1, 0, 2, 1, 3, 4, 3, 0, 0, 0, 1, 0, 1, 4, 1, 4, 3, 0, 3, 2, 2, 2, 1, 3, 3, 4, 0, 2, 0, 0, 2, 1, 2, 3, 4, 1, 2, 1, 2, 0, 3, 1, 2, 4, 3, 4, 3, 2, 3, 3, 1, 2, 4, 0, 3, 4, 2, 1, 3, 1, 3, 0, 4, 3, 3, 3, 4, 1, 3, 1, 2, 3, 1, 1, 4, 0, 3, 4, 1, 4, 0, 1, 2, 2, 4, 1, 4, 3, 0, 4, 2, 0, 4, 0, 4, 0, 1, 2, 4, 2, 1, 1, 1, 3, 4, 3, 0, 0, 3, 3, 4, 2, 1, 2, 2, 0, 3, 2, 2, 3, 2, 2, 3, 0, 3, 4, 1, 1, 2, 2, 4, 2, 4, 0, 1, 1, 3, 3, 0, 4, 4, 2, 1, 0, 3, 1, 4, 1, 0, 0, 0, 1, 4, 1, 4, 1, 4, 2, 2, 4, 4, 1, 4, 2, 1, 1, 1, 3, 1, 0, 0, 2, 3, 0, 0, 2, 4, 1, 1, 0, 3, 3, 2, 1, 0, 0, 1, 0, 2, 1, 1, 3, 0, 4, 2, 0, 4, 4, 2, 1, 1, 3, 2, 4, 1, 1, 2, 3, 0, 0, 4, 2, 4, 0, 3, 0, 1, 4, 1, 0, 1, 1, 3, 1, 2, 2, 2, 2, 4, 2, 3, 3, 1, 1, 3, 1, 2, 2, 3, 4, 1, 4, 2, 1, 3, 4, 1, 1, 3, 0, 4, 3, 0, 0, 4, 2, 3, 3, 1, 1, 4, 4, 1, 1, 1, 4, 3, 2, 4, 2, 1, 2, 3, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 4, 0, 0, 3, 2, 3, 4, 4, 0, 4, 2, 3, 4, 4, 3, 2, 0, 2, 0, 0, 3, 3, 3, 1, 3, 2, 3, 1, 4, 4, 4, 0, 3, 1, 1, 0, 4, 2, 4, 0, 4, 2, 4, 4, 2, 4, 1, 4, 2, 2, 3, 2, 1, 4, 3, 1, 3, 1, 3, 3, 4, 0, 2, 2, 4, 1, 0, 1, 4, 3, 2, 4, 0, 0, 3, 0, 1, 0, 1, 3, 0, 2, 4, 1, 4, 2, 3, 3, 1, 3] pubkeycol1183 = [0, 2, 1, 3, 4, 0, 2, 1, 2, 4, 1, 4, 2, 1, 0, 2, 0, 2, 1, 0, 3, 0, 1, 1, 0, 4, 2, 4, 2, 1, 3, 4, 2, 0, 3, 2, 1, 1, 3, 2, 4, 4, 2, 3, 3, 3, 1, 4, 1, 3, 1, 1, 1, 3, 2, 3, 3, 4, 1, 4, 4, 3, 0, 4, 2, 1, 1, 4, 3, 4, 4, 4, 3, 2, 1, 3, 3, 1, 4, 4, 1, 1, 2, 2, 4, 4, 2, 2, 4, 4, 0, 4, 0, 1, 1, 2, 0, 1, 3, 0, 2, 3, 4, 2, 3, 4, 2, 3, 1, 0, 1, 4, 1, 1, 2, 0, 3, 3, 3, 2, 2, 1, 1, 0, 4, 0, 4, 3, 3, 0, 1, 4, 2, 2, 3, 0, 4, 3, 4, 1, 2, 4, 1, 0, 4, 3, 4, 2, 0, 1, 1, 3, 0, 3, 0, 0, 3, 3, 4, 3, 3, 2, 2, 4, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 0, 0, 2, 1, 4, 0, 2, 0, 2, 4, 3, 4, 3, 4, 4, 1, 1, 1, 2, 1, 2, 0, 2, 3, 3, 2, 0, 2, 3, 3, 4, 2, 2, 1, 0, 0, 2, 1, 0, 1, 3, 3, 4, 3, 0, 4, 4, 3, 3, 1, 0, 3, 0, 4, 3, 0, 2, 3, 2, 2, 0, 0, 4, 0, 3, 3, 3, 3, 2, 2, 0, 1, 0, 4, 3, 4, 4, 2, 1, 4, 1, 4, 1, 0, 1, 4, 1, 0, 1, 1, 3, 3, 4, 3, 4, 0, 0, 4, 2, 1, 3, 3, 4, 3, 3, 4, 3, 1, 4, 4, 0, 3, 0, 1, 3, 2, 0, 2, 4, 1, 4, 3, 1, 2, 3, 2, 3, 3, 1, 2, 4, 2, 2, 0, 3, 0, 1, 1, 2, 2, 3, 0, 0, 4, 2, 4, 1, 3, 1, 2, 0, 4, 2, 1, 1, 0, 0, 0, 4, 3, 3, 3, 4, 4, 1, 2, 3, 0, 4, 2, 3, 1, 3, 0, 4, 2, 3, 0, 4, 4, 0, 3, 3, 4, 1, 0, 4, 4, 1, 1, 0, 0, 1, 1, 3, 4, 0, 2, 0, 1, 2, 1, 1, 4, 1, 0, 1, 0, 4, 0, 2, 2, 0, 0, 4, 2, 2, 2, 3, 0, 0, 3, 1, 2, 3, 4] pubkeycol1184 = [4, 2, 3, 3, 0, 4, 4, 3, 2, 1, 2, 1, 2, 0, 4, 2, 2, 1, 2, 0, 2, 4, 3, 2, 0, 1, 3, 4, 4, 0, 4, 4, 1, 2, 3, 1, 0, 0, 3, 2, 1, 3, 0, 1, 1, 1, 2, 4, 3, 4, 1, 1, 4, 2, 0, 0, 0, 3, 1, 3, 4, 3, 3, 0, 4, 0, 4, 0, 3, 4, 3, 2, 1, 1, 0, 3, 0, 4, 4, 3, 4, 0, 2, 0, 0, 1, 0, 1, 4, 0, 4, 4, 3, 1, 3, 0, 2, 2, 3, 1, 4, 2, 4, 4, 2, 2, 2, 1, 4, 2, 4, 0, 2, 4, 0, 1, 2, 2, 4, 3, 4, 4, 0, 0, 0, 3, 3, 1, 3, 2, 1, 3, 3, 2, 1, 0, 3, 3, 2, 1, 1, 3, 0, 4, 2, 3, 4, 3, 3, 2, 3, 4, 3, 0, 2, 3, 3, 0, 2, 2, 2, 2, 4, 3, 0, 0, 0, 1, 4, 4, 3, 2, 3, 4, 0, 2, 3, 3, 3, 0, 0, 4, 3, 3, 2, 1, 0, 1, 4, 1, 2, 0, 4, 0, 2, 3, 2, 4, 0, 0, 4, 0, 3, 4, 2, 2, 4, 4, 3, 0, 0, 0, 3, 0, 3, 3, 2, 0, 3, 3, 1, 0, 0, 4, 3, 1, 2, 0, 1, 4, 4, 4, 1, 3, 0, 4, 4, 1, 1, 4, 1, 4, 4, 2, 0, 1, 2, 3, 4, 2, 1, 0, 0, 2, 2, 2, 2, 4, 3, 1, 3, 1, 1, 2, 2, 0, 2, 0, 2, 2, 3, 1, 0, 2, 2, 2, 2, 4, 2, 0, 2, 4, 3, 3, 1, 4, 1, 3, 4, 3, 2, 2, 4, 1, 4, 4, 3, 2, 0, 2, 0, 3, 0, 0, 4, 0, 4, 4, 0, 0, 1, 1, 3, 3, 1, 4, 3, 3, 0, 3, 2, 1, 1, 0, 1, 3, 3, 3, 3, 3, 0, 0, 0, 2, 4, 4, 4, 0, 0, 1, 2, 2, 3, 0, 2, 3, 0, 4, 0, 0, 2, 4, 0, 0, 4, 2, 1, 0, 3, 1, 2, 0, 2, 0, 1, 3, 3, 4, 3, 3, 2, 2, 0, 3, 4, 4, 1, 1, 4, 1, 4, 2, 1, 4, 3, 0, 3, 4, 4, 1, 1, 0, 0, 1, 2, 2, 0, 4, 3, 3] pubkeycol1185 = [3, 2, 1, 4, 3, 2, 3, 1, 2, 0, 1, 1, 3, 4, 0, 0, 2, 2, 1, 3, 1, 4, 3, 0, 2, 1, 4, 0, 4, 0, 1, 3, 4, 1, 2, 2, 3, 3, 3, 0, 0, 1, 4, 0, 0, 3, 3, 2, 2, 2, 1, 1, 1, 0, 3, 3, 3, 0, 3, 1, 0, 4, 4, 4, 2, 1, 3, 2, 3, 1, 2, 2, 0, 0, 0, 4, 3, 1, 4, 1, 4, 4, 3, 3, 3, 1, 4, 0, 0, 0, 3, 3, 2, 0, 4, 0, 0, 3, 3, 3, 3, 4, 1, 4, 4, 3, 4, 4, 2, 1, 1, 4, 1, 0, 1, 2, 4, 2, 2, 1, 0, 1, 1, 1, 3, 2, 0, 0, 4, 1, 1, 4, 1, 4, 2, 2, 3, 3, 0, 4, 0, 0, 2, 1, 4, 3, 3, 0, 0, 0, 4, 3, 1, 2, 4, 0, 2, 3, 3, 4, 0, 4, 1, 0, 2, 1, 0, 0, 1, 0, 0, 3, 2, 4, 4, 1, 0, 0, 4, 3, 1, 2, 2, 0, 1, 4, 4, 0, 3, 1, 0, 1, 4, 3, 4, 3, 1, 4, 4, 1, 3, 0, 4, 3, 4, 4, 0, 2, 4, 4, 0, 0, 4, 1, 2, 0, 2, 4, 1, 2, 2, 0, 4, 3, 2, 2, 1, 1, 4, 4, 4, 4, 2, 2, 2, 3, 0, 3, 0, 2, 3, 4, 3, 3, 2, 4, 3, 4, 1, 2, 4, 2, 1, 0, 3, 2, 1, 2, 3, 1, 2, 0, 0, 2, 1, 0, 1, 2, 3, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 3, 1, 4, 2, 2, 3, 1, 4, 3, 2, 3, 3, 2, 3, 4, 2, 2, 1, 4, 3, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 3, 3, 2, 3, 2, 2, 4, 0, 2, 3, 4, 1, 4, 4, 0, 4, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 0, 3, 3, 4, 0, 1, 0, 3, 2, 3, 1, 2, 1, 0, 4, 3, 1, 0, 1, 4, 0, 3, 4, 3, 4, 2, 4, 4, 4, 2, 1, 3, 3, 4, 0, 1, 3, 3, 0, 2, 0, 3, 0, 1, 3, 3, 3, 2, 3, 1, 4, 1, 0, 3, 3, 0, 0, 1, 0, 3, 2, 1, 2, 3] pubkeycol1186 = [1, 2, 1, 3, 0, 3, 0, 3, 2, 3, 0, 2, 3, 2, 2, 3, 2, 2, 4, 1, 4, 1, 4, 2, 2, 0, 4, 3, 3, 0, 1, 3, 3, 0, 0, 2, 2, 4, 4, 0, 2, 3, 3, 2, 2, 0, 0, 3, 4, 3, 1, 0, 0, 3, 3, 1, 2, 0, 2, 3, 2, 0, 0, 1, 3, 2, 1, 2, 4, 1, 2, 2, 0, 2, 3, 4, 4, 1, 4, 1, 3, 2, 3, 3, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 4, 0, 4, 0, 0, 1, 1, 1, 0, 3, 0, 0, 4, 1, 1, 3, 3, 4, 4, 0, 4, 4, 0, 4, 0, 2, 1, 2, 2, 3, 2, 3, 0, 3, 1, 0, 1, 4, 1, 1, 4, 1, 3, 0, 4, 0, 2, 2, 4, 0, 0, 0, 4, 1, 3, 3, 3, 0, 4, 0, 3, 2, 4, 1, 4, 2, 0, 4, 0, 1, 1, 0, 4, 4, 4, 2, 2, 4, 2, 2, 4, 2, 2, 2, 1, 3, 0, 2, 4, 0, 3, 1, 3, 1, 2, 0, 0, 3, 0, 1, 2, 0, 4, 1, 4, 3, 2, 3, 4, 1, 2, 0, 4, 2, 1, 1, 3, 0, 0, 3, 2, 4, 0, 3, 4, 2, 1, 3, 3, 2, 2, 0, 0, 4, 0, 4, 0, 4, 3, 3, 1, 4, 0, 1, 1, 2, 1, 4, 4, 1, 2, 1, 1, 0, 2, 1, 2, 2, 4, 2, 4, 3, 1, 3, 3, 3, 3, 4, 3, 0, 3, 2, 2, 0, 3, 2, 4, 3, 4, 4, 3, 4, 0, 0, 4, 2, 1, 3, 2, 1, 0, 2, 1, 3, 2, 1, 3, 3, 1, 1, 3, 3, 3, 1, 2, 0, 3, 2, 4, 0, 3, 3, 4, 4, 4, 2, 2, 0, 1, 0, 3, 3, 1, 3, 2, 3, 1, 2, 0, 3, 0, 0, 3, 1, 4, 1, 0, 1, 4, 1, 3, 4, 3, 0, 2, 1, 1, 4, 1, 3, 4, 0, 3, 4, 4, 3, 4, 4, 1, 1, 2, 3, 4, 4, 3, 3, 4, 4, 0, 4, 1, 0, 3, 0, 4, 1, 1, 0, 2, 3, 4, 2, 0, 3, 2, 4, 0, 3, 0, 0, 2, 2, 4, 3, 4, 1, 3, 1, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol1187 = [1, 2, 4, 0, 4, 0, 0, 2, 0, 3, 4, 4, 4, 0, 1, 0, 0, 0, 4, 4, 1, 4, 0, 3, 2, 3, 3, 0, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 4, 2, 3, 4, 2, 1, 4, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 4, 2, 0, 3, 3, 4, 4, 3, 4, 2, 1, 2, 2, 0, 0, 3, 1, 2, 3, 1, 1, 1, 4, 2, 3, 4, 0, 1, 4, 4, 3, 4, 1, 0, 3, 3, 4, 4, 3, 3, 2, 2, 4, 4, 2, 1, 0, 1, 3, 0, 4, 3, 4, 2, 0, 3, 1, 0, 2, 3, 0, 4, 3, 4, 1, 1, 3, 4, 1, 4, 4, 4, 0, 3, 0, 1, 3, 4, 4, 2, 2, 2, 3, 1, 3, 0, 0, 4, 2, 4, 3, 4, 2, 3, 0, 4, 1, 0, 1, 2, 2, 2, 3, 4, 4, 0, 2, 1, 4, 0, 3, 0, 2, 4, 1, 2, 4, 3, 2, 4, 4, 4, 1, 2, 1, 2, 0, 4, 1, 2, 3, 4, 0, 4, 4, 2, 1, 0, 2, 2, 1, 3, 4, 2, 1, 0, 2, 4, 4, 4, 0, 4, 4, 1, 4, 4, 3, 2, 0, 3, 1, 1, 3, 0, 4, 3, 1, 3, 4, 3, 1, 0, 3, 1, 1, 1, 1, 1, 3, 4, 1, 0, 3, 2, 1, 4, 1, 3, 0, 2, 3, 1, 3, 2, 0, 4, 0, 4, 0, 4, 2, 4, 3, 4, 4, 3, 1, 0, 0, 2, 2, 4, 1, 4, 1, 0, 2, 0, 1, 3, 2, 4, 4, 1, 4, 0, 3, 3, 1, 4, 0, 4, 1, 1, 3, 4, 4, 1, 3, 4, 2, 2, 3, 2, 3, 4, 3, 2, 4, 2, 1, 2, 0, 3, 3, 2, 1, 0, 1, 4, 3, 4, 0, 2, 4, 2, 2, 0, 1, 2, 1, 4, 3, 0, 3, 4, 3, 2, 2, 3, 0, 4, 1, 1, 0, 0, 1, 1, 1, 3, 2, 1, 3, 2, 0, 2, 4, 1, 3, 0, 2, 4, 3, 1, 3, 1, 4, 4, 4, 1, 3, 1, 3, 2, 1, 1, 1, 2, 4, 4, 2, 2, 3, 4, 1, 3, 1, 4, 1, 1, 1, 4, 1, 1, 3, 4, 2, 3, 4, 3, 0, 4, 1] pubkeycol1188 = [4, 2, 0, 2, 1, 1, 4, 0, 4, 0, 2, 2, 0, 2, 3, 3, 0, 2, 4, 1, 3, 2, 1, 2, 4, 3, 0, 3, 0, 0, 4, 2, 0, 1, 1, 4, 4, 1, 4, 1, 1, 2, 3, 4, 4, 1, 1, 4, 0, 3, 4, 3, 4, 0, 1, 0, 2, 4, 1, 4, 2, 1, 3, 4, 4, 2, 1, 4, 1, 3, 3, 0, 2, 2, 3, 0, 0, 2, 3, 0, 3, 4, 0, 3, 4, 2, 0, 0, 1, 1, 0, 3, 3, 2, 2, 0, 4, 2, 0, 3, 1, 2, 3, 1, 0, 4, 3, 1, 0, 0, 3, 1, 3, 4, 4, 3, 1, 1, 4, 3, 4, 4, 0, 1, 1, 1, 2, 3, 1, 1, 2, 1, 4, 2, 2, 4, 2, 2, 2, 4, 1, 0, 2, 0, 1, 4, 4, 4, 4, 0, 0, 3, 3, 4, 1, 3, 3, 0, 1, 1, 1, 3, 2, 4, 3, 2, 2, 1, 4, 2, 0, 4, 0, 1, 0, 3, 3, 0, 4, 3, 1, 3, 2, 1, 4, 1, 1, 3, 4, 1, 2, 4, 2, 0, 4, 1, 3, 4, 1, 4, 3, 0, 2, 3, 3, 4, 2, 2, 0, 0, 1, 0, 1, 4, 2, 3, 0, 1, 3, 1, 2, 0, 3, 3, 1, 1, 3, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 3, 1, 2, 0, 2, 4, 0, 3, 1, 4, 3, 3, 1, 2, 2, 4, 3, 4, 2, 0, 4, 3, 0, 0, 2, 0, 4, 0, 1, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 0, 1, 2, 4, 0, 4, 3, 2, 2, 0, 0, 3, 3, 1, 4, 4, 3, 0, 2, 2, 2, 4, 1, 1, 4, 2, 4, 3, 0, 0, 2, 0, 3, 4, 1, 4, 3, 3, 4, 3, 0, 0, 3, 4, 3, 2, 1, 1, 1, 2, 2, 4, 3, 4, 4, 4, 1, 2, 4, 4, 0, 3, 3, 0, 2, 1, 3, 3, 0, 4, 1, 0, 1, 0, 1, 4, 1, 4, 2, 3, 3, 2, 0, 2, 3, 2, 0, 2, 4, 2, 3, 4, 4, 1, 0, 0, 1, 4, 4, 2, 3, 0, 0, 4, 4, 1, 4, 2, 1, 2, 0, 0, 4, 4, 2, 3, 1] pubkeycol1189 = [2, 0, 4, 0, 1, 3, 1, 4, 4, 4, 0, 4, 1, 1, 3, 0, 2, 1, 3, 0, 1, 2, 1, 1, 0, 3, 1, 4, 1, 4, 4, 4, 4, 0, 3, 0, 1, 0, 4, 4, 2, 1, 2, 0, 1, 0, 0, 3, 3, 2, 0, 1, 3, 0, 0, 4, 0, 1, 3, 1, 3, 1, 1, 0, 3, 0, 0, 1, 2, 1, 2, 1, 3, 3, 0, 2, 0, 0, 1, 3, 4, 1, 0, 1, 2, 4, 2, 1, 1, 2, 2, 1, 0, 4, 2, 4, 3, 0, 1, 4, 0, 2, 4, 3, 0, 2, 4, 4, 1, 4, 4, 3, 3, 1, 2, 4, 2, 4, 1, 3, 3, 4, 4, 4, 1, 0, 0, 3, 0, 2, 0, 4, 4, 2, 4, 1, 4, 2, 2, 4, 2, 4, 0, 3, 0, 2, 1, 1, 0, 1, 3, 4, 2, 0, 2, 0, 3, 0, 0, 3, 4, 3, 1, 4, 3, 0, 1, 1, 3, 4, 0, 4, 0, 1, 4, 3, 3, 1, 2, 2, 0, 3, 2, 0, 2, 3, 1, 3, 3, 4, 0, 0, 1, 3, 2, 1, 3, 3, 2, 0, 3, 3, 1, 2, 1, 1, 0, 4, 4, 1, 2, 1, 4, 1, 1, 1, 0, 4, 1, 0, 4, 2, 1, 0, 1, 3, 1, 2, 1, 1, 1, 2, 0, 2, 4, 3, 1, 4, 2, 4, 3, 3, 0, 2, 0, 3, 2, 0, 3, 0, 3, 1, 2, 0, 3, 2, 1, 0, 0, 3, 1, 0, 1, 2, 4, 2, 4, 4, 0, 0, 2, 4, 0, 2, 2, 2, 2, 0, 1, 4, 0, 4, 3, 3, 4, 4, 0, 4, 3, 4, 1, 1, 2, 0, 0, 3, 3, 0, 3, 0, 3, 2, 4, 3, 3, 2, 3, 4, 3, 3, 4, 2, 4, 4, 1, 3, 1, 4, 2, 4, 1, 1, 0, 0, 1, 3, 4, 0, 1, 1, 3, 0, 0, 3, 4, 2, 4, 4, 0, 4, 0, 2, 3, 2, 0, 1, 2, 2, 3, 2, 3, 1, 2, 0, 4, 3, 3, 3, 0, 4, 3, 2, 3, 4, 3, 2, 1, 1, 0, 4, 2, 4, 2, 3, 4, 1, 0, 2, 4, 0, 0, 1, 4, 1, 2, 4, 4, 3, 4, 2, 3, 2, 0, 2, 3, 0, 4, 4, 2, 4] pubkeycol1190 = [0, 1, 1, 2, 3, 3, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 4, 4, 0, 2, 4, 1, 1, 1, 3, 3, 0, 2, 4, 0, 4, 1, 3, 0, 3, 2, 2, 2, 2, 3, 0, 0, 2, 0, 0, 4, 4, 1, 2, 3, 0, 2, 2, 3, 4, 0, 4, 4, 4, 1, 4, 4, 0, 3, 3, 2, 1, 2, 3, 1, 0, 0, 0, 0, 3, 1, 1, 1, 2, 2, 2, 4, 3, 3, 0, 3, 1, 4, 4, 3, 4, 2, 0, 4, 1, 3, 0, 2, 1, 0, 0, 3, 3, 2, 2, 3, 2, 4, 4, 4, 1, 1, 0, 4, 1, 3, 0, 2, 3, 4, 2, 2, 2, 4, 1, 1, 3, 1, 0, 0, 2, 1, 2, 3, 4, 1, 1, 2, 2, 0, 4, 0, 4, 3, 1, 0, 3, 4, 4, 0, 2, 1, 3, 0, 4, 2, 4, 4, 1, 3, 2, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 3, 0, 1, 1, 2, 3, 2, 1, 4, 0, 2, 3, 3, 1, 3, 0, 0, 3, 3, 0, 1, 1, 0, 0, 0, 3, 4, 0, 3, 4, 1, 4, 2, 0, 0, 3, 1, 4, 0, 4, 4, 4, 3, 3, 1, 3, 1, 1, 0, 3, 0, 3, 0, 1, 4, 3, 1, 0, 3, 1, 1, 2, 2, 3, 1, 3, 0, 4, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 3, 1, 0, 4, 2, 2, 2, 1, 1, 4, 2, 1, 1, 4, 0, 0, 1, 2, 3, 0, 0, 3, 4, 2, 0, 3, 1, 2, 1, 3, 1, 0, 1, 1, 3, 2, 1, 0, 0, 3, 1, 4, 0, 3, 1, 3, 0, 1, 4, 2, 4, 3, 2, 1, 3, 0, 1, 0, 1, 2, 3, 4, 0, 4, 2, 2, 0, 0, 1, 3, 4, 1, 0, 3, 4, 4, 1, 2, 3, 0, 4, 2, 3, 1, 4, 4, 2, 0, 1, 1, 1, 2, 0, 4, 2, 4, 0, 1, 3, 3, 4, 4, 1, 3, 1, 1, 0, 3, 4, 0, 1, 3, 1, 2, 3, 0, 0, 1, 3, 0, 1, 4, 2, 1, 0, 2, 1, 1, 3, 3, 4, 4, 4, 1, 3, 4, 2, 1, 1, 0, 0, 4, 1, 1, 2, 1, 0, 0, 0, 3, 0] pubkeycol1191 = [0, 1, 3, 4, 4, 4, 3, 0, 4, 2, 4, 1, 4, 0, 3, 2, 4, 0, 4, 1, 2, 4, 1, 4, 2, 1, 2, 4, 2, 3, 4, 0, 4, 0, 4, 0, 0, 0, 1, 3, 2, 1, 1, 4, 1, 4, 0, 4, 4, 1, 3, 0, 0, 0, 1, 4, 1, 3, 4, 0, 1, 2, 1, 0, 1, 1, 0, 4, 4, 0, 0, 4, 0, 0, 3, 0, 4, 1, 2, 2, 3, 0, 4, 1, 4, 2, 0, 2, 3, 4, 2, 1, 0, 3, 0, 0, 2, 4, 1, 3, 2, 0, 0, 2, 0, 3, 0, 4, 0, 3, 2, 4, 3, 1, 2, 4, 0, 4, 4, 0, 1, 1, 0, 2, 2, 4, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 4, 0, 4, 1, 1, 2, 1, 1, 0, 3, 4, 0, 2, 0, 0, 4, 1, 1, 2, 3, 3, 0, 4, 3, 3, 4, 4, 4, 3, 3, 0, 0, 1, 2, 3, 4, 0, 1, 1, 4, 4, 2, 3, 4, 2, 0, 1, 3, 1, 0, 0, 0, 4, 3, 4, 1, 1, 0, 4, 3, 0, 0, 1, 1, 1, 3, 2, 1, 3, 0, 4, 3, 0, 3, 1, 2, 0, 2, 1, 2, 2, 2, 2, 3, 2, 4, 0, 2, 3, 0, 2, 3, 1, 2, 4, 3, 0, 1, 0, 3, 2, 4, 4, 1, 2, 3, 4, 1, 1, 2, 3, 3, 0, 3, 2, 4, 1, 3, 0, 4, 0, 4, 1, 0, 3, 1, 0, 4, 1, 0, 0, 3, 3, 1, 4, 2, 1, 2, 4, 1, 4, 2, 2, 1, 3, 4, 2, 2, 1, 2, 3, 2, 1, 1, 0, 1, 2, 4, 0, 0, 3, 0, 1, 3, 3, 0, 3, 1, 3, 2, 2, 2, 1, 4, 1, 3, 0, 0, 2, 1, 0, 2, 2, 2, 2, 3, 2, 2, 2, 4, 4, 1, 0, 1, 1, 3, 1, 1, 4, 1, 2, 4, 3, 0, 2, 4, 2, 2, 4, 3, 1, 3, 2, 1, 0, 3, 3, 2, 4, 1, 0, 3, 2, 2, 0, 0, 0, 3, 3, 1, 0, 1, 1, 1, 0, 1, 0, 3, 1, 0, 3, 3, 2, 0, 0, 3, 0, 4, 2, 3, 1, 4, 0, 0, 3, 3, 3, 0] pubkeycol1192 = [4, 0, 0, 3, 3, 1, 4, 0, 3, 1, 1, 1, 2, 3, 3, 2, 0, 4, 0, 1, 0, 0, 0, 4, 1, 4, 2, 2, 0, 2, 1, 2, 2, 4, 1, 4, 1, 0, 4, 4, 3, 4, 1, 1, 0, 2, 3, 0, 4, 1, 1, 4, 3, 0, 2, 2, 0, 2, 2, 4, 0, 4, 2, 3, 4, 0, 3, 1, 2, 3, 1, 0, 3, 2, 0, 3, 1, 4, 0, 3, 0, 1, 2, 1, 2, 0, 4, 4, 4, 3, 1, 2, 2, 0, 3, 1, 0, 4, 4, 1, 0, 0, 2, 4, 4, 1, 0, 4, 2, 0, 1, 3, 2, 4, 4, 4, 2, 3, 2, 0, 3, 3, 3, 3, 0, 4, 2, 4, 1, 4, 0, 0, 0, 4, 3, 1, 3, 4, 3, 0, 1, 1, 4, 0, 4, 3, 1, 2, 2, 2, 4, 1, 0, 0, 3, 4, 1, 3, 4, 0, 0, 0, 4, 2, 0, 2, 3, 4, 4, 0, 1, 1, 0, 4, 3, 4, 1, 3, 4, 3, 3, 1, 1, 4, 0, 2, 3, 0, 1, 1, 1, 3, 2, 3, 1, 4, 0, 4, 2, 3, 1, 1, 4, 1, 4, 3, 3, 1, 4, 2, 4, 4, 3, 1, 3, 4, 0, 4, 3, 2, 2, 3, 2, 4, 3, 2, 1, 4, 4, 4, 2, 0, 0, 2, 3, 4, 1, 2, 0, 0, 0, 4, 3, 1, 2, 2, 1, 4, 3, 3, 1, 4, 3, 3, 1, 2, 1, 2, 1, 0, 4, 0, 4, 4, 3, 3, 3, 4, 2, 4, 0, 2, 0, 3, 3, 3, 1, 4, 1, 2, 3, 1, 1, 3, 2, 2, 3, 1, 4, 1, 3, 4, 1, 0, 0, 3, 2, 1, 2, 4, 0, 0, 2, 4, 1, 0, 3, 3, 2, 1, 1, 2, 3, 4, 3, 3, 3, 0, 2, 0, 0, 0, 0, 4, 0, 0, 1, 2, 1, 0, 2, 1, 4, 0, 3, 1, 1, 0, 1, 4, 3, 1, 2, 1, 1, 3, 1, 1, 2, 4, 4, 1, 4, 3, 2, 4, 4, 4, 1, 1, 3, 0, 1, 3, 4, 4, 1, 1, 3, 4, 4, 1, 2, 0, 2, 2, 3, 4, 4, 1, 1, 0, 3, 3, 1, 1, 1, 0, 4, 4, 1, 2, 3, 0, 0, 1, 4, 3, 1, 0] pubkeycol1193 = [4, 3, 4, 4, 0, 1, 2, 1, 1, 0, 1, 1, 4, 3, 0, 4, 4, 3, 2, 4, 0, 4, 0, 2, 4, 2, 1, 1, 2, 1, 3, 0, 1, 0, 2, 3, 2, 4, 1, 4, 2, 0, 3, 2, 4, 0, 0, 4, 4, 1, 4, 2, 0, 4, 0, 2, 1, 2, 1, 0, 4, 2, 4, 2, 2, 0, 3, 0, 3, 2, 1, 0, 1, 1, 3, 1, 1, 2, 1, 1, 1, 0, 3, 2, 3, 3, 2, 1, 2, 1, 4, 4, 2, 2, 0, 3, 3, 3, 1, 2, 2, 0, 3, 4, 3, 1, 3, 2, 4, 4, 4, 2, 0, 4, 4, 4, 4, 4, 3, 4, 0, 2, 3, 3, 0, 3, 0, 1, 4, 3, 1, 1, 1, 0, 2, 1, 3, 2, 1, 1, 3, 4, 3, 3, 3, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 3, 2, 4, 1, 0, 1, 0, 4, 4, 0, 4, 0, 3, 3, 3, 3, 2, 4, 2, 0, 4, 2, 3, 3, 0, 1, 1, 3, 1, 4, 4, 4, 4, 0, 3, 0, 1, 0, 4, 4, 3, 4, 4, 2, 4, 1, 3, 3, 2, 1, 3, 0, 3, 2, 2, 1, 3, 2, 0, 1, 3, 2, 2, 3, 4, 3, 4, 3, 1, 0, 3, 4, 4, 1, 4, 1, 0, 2, 1, 2, 3, 3, 0, 0, 4, 0, 4, 0, 3, 0, 2, 0, 4, 1, 0, 0, 1, 4, 4, 0, 2, 3, 4, 0, 3, 1, 0, 2, 4, 3, 1, 3, 2, 0, 2, 4, 1, 1, 0, 4, 4, 3, 3, 0, 1, 1, 1, 2, 1, 3, 0, 1, 3, 0, 3, 2, 1, 0, 0, 1, 3, 0, 4, 3, 3, 1, 3, 0, 4, 3, 0, 2, 1, 4, 0, 3, 3, 1, 2, 2, 4, 1, 2, 4, 4, 4, 3, 1, 0, 0, 3, 0, 0, 3, 4, 2, 0, 3, 0, 3, 3, 1, 3, 2, 4, 4, 0, 3, 3, 3, 0, 0, 2, 0, 3, 2, 0, 2, 0, 0, 0, 3, 1, 0, 0, 2, 2, 2, 3, 4, 4, 2, 3, 1, 3, 3, 3, 0, 3, 3, 0, 3, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 4, 4, 1, 0, 2, 1, 4, 4, 3, 1, 4] pubkeycol1194 = [4, 0, 3, 4, 3, 4, 1, 3, 1, 2, 1, 0, 3, 1, 3, 0, 1, 3, 4, 1, 0, 1, 1, 0, 3, 3, 4, 4, 4, 4, 2, 1, 2, 3, 2, 3, 0, 0, 2, 3, 0, 0, 1, 1, 2, 4, 2, 0, 1, 3, 0, 4, 3, 2, 2, 0, 4, 2, 4, 3, 0, 2, 3, 2, 1, 0, 1, 1, 3, 3, 4, 0, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 4, 1, 0, 3, 1, 0, 2, 2, 3, 3, 1, 3, 0, 3, 2, 0, 0, 1, 1, 4, 0, 1, 3, 1, 1, 0, 1, 1, 4, 0, 1, 2, 0, 1, 4, 0, 0, 1, 3, 2, 4, 0, 1, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 4, 0, 4, 4, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 4, 4, 1, 0, 0, 1, 0, 3, 2, 0, 2, 1, 4, 2, 1, 1, 0, 0, 0, 3, 2, 4, 4, 2, 4, 1, 2, 2, 2, 1, 3, 0, 2, 3, 0, 3, 0, 1, 1, 2, 2, 2, 4, 3, 3, 3, 3, 1, 0, 3, 2, 1, 0, 1, 4, 2, 2, 1, 3, 3, 2, 1, 0, 3, 3, 4, 2, 3, 2, 0, 1, 0, 0, 4, 0, 3, 0, 0, 2, 4, 2, 3, 3, 1, 3, 0, 1, 4, 0, 4, 4, 0, 0, 2, 0, 2, 1, 2, 1, 0, 3, 1, 4, 0, 4, 3, 3, 4, 3, 4, 2, 3, 3, 1, 2, 0, 0, 4, 1, 2, 0, 1, 3, 0, 4, 1, 2, 0, 1, 4, 2, 1, 3, 0, 0, 2, 3, 0, 4, 2, 4, 3, 2, 1, 3, 1, 3, 1, 0, 3, 1, 1, 2, 1, 4, 2, 4, 2, 3, 0, 0, 2, 0, 1, 4, 0, 0, 3, 2, 0, 0, 0, 2, 2, 0, 3, 1, 2, 1, 2, 3, 4, 0, 0, 0, 4, 1, 1, 3, 2, 4, 4, 3, 1, 1, 2, 3, 3, 4, 1, 1, 4, 1, 1, 2, 0, 2, 1, 2, 4, 3, 1, 4, 4, 1, 1, 4, 2, 0, 1, 2, 4, 3, 1, 3, 3, 2, 2, 2, 3, 2, 0, 4, 2, 4, 0, 0, 2, 2, 1, 0, 4, 4, 0, 0, 1, 4, 3] pubkeycol1195 = [3, 1, 2, 0, 1, 1, 1, 4, 3, 0, 0, 3, 3, 1, 4, 3, 0, 0, 4, 2, 1, 3, 0, 1, 3, 0, 4, 3, 2, 0, 4, 3, 2, 1, 0, 3, 1, 4, 3, 4, 0, 1, 3, 3, 4, 0, 2, 0, 1, 3, 4, 1, 1, 1, 1, 2, 0, 2, 0, 1, 3, 1, 4, 4, 2, 0, 2, 3, 3, 1, 4, 4, 0, 3, 0, 2, 2, 4, 2, 3, 3, 1, 0, 3, 1, 3, 1, 2, 4, 2, 4, 3, 0, 1, 4, 1, 2, 1, 3, 2, 3, 0, 3, 0, 4, 4, 0, 3, 1, 1, 0, 0, 4, 1, 1, 2, 0, 1, 3, 2, 1, 2, 1, 1, 1, 0, 1, 4, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 3, 0, 4, 1, 4, 0, 0, 4, 1, 3, 1, 4, 0, 4, 1, 2, 3, 3, 0, 2, 2, 2, 0, 2, 3, 1, 4, 2, 4, 4, 3, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 4, 4, 1, 1, 0, 2, 3, 2, 3, 3, 4, 4, 0, 0, 3, 2, 2, 0, 3, 4, 4, 1, 3, 3, 0, 3, 0, 4, 1, 4, 2, 4, 4, 0, 4, 4, 3, 1, 0, 2, 4, 2, 4, 4, 2, 0, 4, 2, 3, 2, 2, 2, 4, 0, 0, 0, 3, 0, 1, 0, 2, 2, 2, 0, 4, 4, 2, 0, 4, 4, 4, 3, 3, 1, 3, 4, 0, 4, 0, 3, 2, 0, 1, 2, 2, 3, 0, 2, 4, 4, 3, 0, 3, 4, 3, 4, 3, 0, 0, 0, 2, 2, 1, 2, 2, 4, 2, 1, 0, 4, 4, 1, 0, 0, 2, 1, 3, 3, 1, 2, 0, 0, 1, 0, 4, 0, 1, 0, 3, 0, 4, 4, 3, 4, 4, 2, 1, 4, 1, 1, 3, 4, 1, 4, 1, 3, 4, 2, 0, 4, 4, 4, 4, 3, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 3, 2, 2, 3, 3, 1, 4, 3, 0, 2, 3, 0, 3, 2, 2, 4, 0, 4, 0, 3, 0, 4, 4, 1, 1, 1, 0, 3, 3, 2, 0, 0, 3, 4, 4, 3, 2, 4, 3, 3, 1, 1, 3, 0, 1, 3, 1, 0, 0, 4, 0, 4, 3, 3, 0, 4] pubkeycol1196 = [4, 0, 1, 3, 3, 0, 2, 3, 3, 0, 3, 0, 0, 0, 4, 1, 3, 1, 4, 4, 4, 4, 1, 3, 2, 2, 3, 1, 2, 3, 1, 2, 1, 4, 1, 3, 0, 3, 2, 4, 2, 4, 1, 3, 0, 1, 3, 2, 4, 3, 1, 3, 0, 3, 3, 3, 1, 2, 2, 1, 2, 0, 2, 1, 4, 4, 2, 2, 0, 2, 0, 1, 1, 3, 4, 0, 4, 3, 4, 4, 0, 3, 0, 2, 2, 4, 1, 0, 3, 3, 1, 4, 0, 1, 3, 1, 1, 2, 1, 3, 4, 3, 2, 3, 0, 3, 4, 0, 2, 3, 4, 4, 2, 0, 1, 0, 3, 2, 1, 0, 4, 1, 1, 4, 3, 4, 3, 1, 0, 1, 3, 1, 0, 1, 0, 0, 4, 2, 3, 1, 2, 4, 0, 2, 3, 4, 0, 1, 0, 4, 2, 4, 4, 1, 2, 2, 4, 0, 0, 4, 4, 0, 4, 4, 2, 1, 4, 4, 1, 0, 4, 1, 4, 1, 1, 1, 3, 2, 2, 0, 4, 4, 4, 4, 3, 4, 2, 2, 1, 1, 1, 3, 3, 1, 1, 4, 0, 2, 0, 1, 1, 3, 3, 0, 1, 2, 4, 0, 2, 1, 4, 0, 1, 3, 4, 2, 4, 2, 4, 1, 1, 1, 2, 3, 4, 3, 0, 0, 3, 3, 4, 1, 3, 3, 2, 4, 3, 4, 4, 0, 0, 4, 2, 4, 3, 1, 2, 1, 0, 1, 2, 3, 0, 4, 2, 2, 0, 0, 1, 0, 0, 3, 4, 4, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 4, 0, 1, 0, 3, 3, 3, 3, 1, 2, 2, 2, 4, 0, 0, 2, 1, 3, 3, 2, 3, 4, 2, 1, 4, 1, 0, 3, 0, 4, 0, 2, 0, 3, 1, 3, 4, 3, 0, 3, 4, 2, 3, 4, 0, 3, 0, 3, 3, 0, 4, 4, 4, 4, 1, 2, 1, 1, 4, 3, 1, 0, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 2, 4, 2, 4, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 3, 1, 3, 0, 0, 3, 4, 2, 0, 2, 2, 1, 1, 3, 0, 4, 4, 0, 2, 4, 1, 4, 3, 4, 0, 0, 2, 0, 3, 4, 0, 0, 1] pubkeycol1197 = [3, 1, 1, 2, 3, 4, 2, 0, 3, 2, 1, 4, 4, 1, 1, 3, 1, 4, 1, 4, 3, 3, 1, 1, 2, 2, 4, 1, 4, 1, 0, 4, 3, 3, 1, 0, 2, 2, 1, 4, 3, 3, 4, 3, 4, 4, 2, 4, 3, 3, 3, 2, 4, 1, 1, 0, 4, 0, 1, 2, 1, 4, 0, 1, 3, 2, 1, 4, 3, 4, 3, 2, 3, 2, 4, 1, 2, 3, 1, 1, 1, 1, 4, 3, 0, 4, 2, 0, 1, 0, 4, 1, 1, 2, 4, 2, 3, 0, 2, 4, 4, 1, 0, 4, 1, 3, 3, 4, 1, 2, 2, 4, 0, 1, 3, 2, 0, 0, 3, 2, 0, 1, 0, 4, 4, 1, 0, 4, 4, 1, 2, 2, 3, 0, 3, 2, 1, 4, 1, 2, 2, 0, 1, 4, 0, 2, 3, 2, 1, 4, 1, 1, 0, 1, 3, 0, 4, 1, 4, 1, 1, 3, 0, 3, 4, 3, 0, 2, 0, 1, 1, 0, 4, 2, 4, 3, 3, 2, 4, 1, 0, 4, 4, 1, 3, 1, 0, 4, 3, 1, 2, 2, 4, 1, 1, 4, 0, 2, 3, 3, 3, 2, 4, 0, 4, 0, 0, 3, 0, 1, 3, 3, 0, 4, 0, 4, 2, 1, 1, 1, 2, 4, 3, 2, 4, 3, 4, 0, 0, 3, 2, 3, 3, 4, 1, 3, 1, 1, 3, 0, 4, 4, 4, 2, 4, 2, 3, 2, 3, 0, 0, 4, 3, 3, 2, 2, 0, 4, 3, 2, 0, 3, 4, 0, 1, 0, 4, 3, 4, 3, 0, 3, 0, 4, 2, 3, 3, 3, 4, 0, 4, 3, 4, 1, 0, 3, 0, 1, 0, 4, 0, 2, 2, 3, 1, 2, 3, 2, 3, 1, 1, 2, 1, 4, 1, 0, 2, 2, 4, 4, 4, 0, 3, 2, 3, 2, 0, 4, 2, 4, 0, 0, 3, 0, 2, 0, 4, 2, 3, 4, 0, 0, 0, 4, 0, 2, 1, 4, 2, 2, 0, 2, 4, 2, 1, 2, 3, 1, 0, 1, 0, 0, 0, 2, 2, 3, 4, 3, 0, 1, 3, 1, 1, 2, 0, 0, 2, 3, 1, 1, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 4, 3, 4, 4, 1, 1, 2, 2, 3, 1, 4, 3, 2, 1, 1, 4, 3] pubkeycol1198 = [1, 1, 4, 0, 2, 3, 3, 2, 3, 4, 2, 2, 0, 3, 0, 3, 1, 3, 1, 0, 4, 0, 3, 2, 0, 3, 2, 1, 0, 0, 1, 0, 2, 1, 2, 4, 1, 3, 0, 2, 3, 4, 3, 1, 0, 0, 4, 1, 2, 4, 3, 3, 1, 3, 3, 0, 4, 1, 4, 2, 4, 3, 2, 1, 3, 2, 3, 2, 4, 4, 4, 2, 4, 1, 4, 2, 2, 1, 1, 3, 3, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 3, 3, 1, 2, 3, 0, 2, 3, 4, 2, 2, 2, 1, 3, 2, 2, 3, 3, 0, 0, 4, 2, 3, 1, 1, 3, 2, 1, 3, 4, 2, 1, 4, 2, 3, 4, 2, 2, 2, 3, 2, 2, 3, 0, 4, 0, 4, 0, 0, 2, 0, 4, 4, 1, 3, 3, 3, 1, 3, 0, 0, 2, 4, 1, 2, 1, 2, 0, 3, 2, 4, 4, 4, 4, 2, 0, 1, 1, 2, 4, 2, 3, 3, 4, 2, 3, 0, 1, 3, 1, 0, 4, 4, 1, 4, 4, 1, 3, 4, 2, 4, 4, 1, 1, 2, 3, 4, 4, 4, 4, 3, 1, 2, 2, 1, 3, 0, 0, 0, 1, 1, 3, 2, 3, 2, 2, 3, 4, 0, 3, 1, 0, 3, 3, 2, 4, 4, 1, 4, 1, 2, 2, 1, 4, 4, 4, 2, 4, 2, 1, 2, 3, 3, 3, 1, 3, 2, 0, 0, 0, 3, 1, 0, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 1, 3, 2, 4, 3, 0, 0, 1, 3, 1, 0, 4, 2, 2, 1, 2, 0, 0, 4, 1, 1, 4, 4, 3, 2, 4, 4, 0, 1, 0, 3, 0, 0, 1, 3, 3, 0, 1, 4, 1, 1, 1, 3, 4, 2, 4, 2, 2, 0, 3, 0, 2, 0, 1, 4, 1, 4, 1, 2, 3, 2, 1, 1, 3, 2, 1, 1, 2, 1, 1, 0, 3, 1, 0, 3, 0, 3, 0, 2, 4, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 4, 4, 0, 3, 2, 4, 1, 3, 4, 2, 2, 4, 3, 0, 1, 3, 4, 3, 2, 1, 4, 0, 1, 0, 0, 4, 2, 3, 2, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2, 2, 4, 4] pubkeycol1199 = [0, 1, 0, 3, 2, 4, 2, 4, 3, 3, 3, 4, 0, 1, 1, 3, 2, 4, 4, 0, 4, 4, 3, 1, 0, 0, 3, 0, 4, 0, 0, 2, 4, 3, 1, 2, 2, 2, 3, 4, 4, 1, 4, 3, 2, 0, 3, 4, 1, 4, 0, 4, 2, 1, 4, 2, 0, 0, 2, 3, 0, 1, 4, 3, 0, 1, 1, 0, 0, 0, 4, 2, 4, 2, 3, 3, 1, 1, 1, 2, 0, 2, 0, 3, 3, 2, 3, 4, 3, 2, 3, 4, 2, 2, 1, 3, 1, 2, 2, 4, 1, 1, 4, 2, 3, 4, 2, 1, 3, 3, 0, 4, 2, 0, 2, 3, 1, 3, 3, 4, 1, 2, 0, 3, 0, 0, 0, 2, 3, 1, 0, 1, 3, 1, 0, 4, 4, 3, 3, 2, 1, 1, 2, 0, 0, 1, 3, 0, 4, 2, 0, 0, 3, 4, 1, 0, 1, 4, 0, 3, 1, 1, 2, 1, 2, 0, 4, 2, 1, 4, 0, 0, 3, 3, 4, 3, 3, 4, 0, 2, 0, 2, 3, 0, 4, 4, 2, 4, 3, 2, 1, 0, 3, 4, 3, 3, 3, 1, 3, 0, 4, 0, 4, 2, 4, 1, 3, 0, 0, 1, 1, 3, 3, 4, 3, 0, 2, 2, 0, 1, 0, 3, 3, 0, 1, 4, 0, 0, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 2, 1, 2, 0, 3, 3, 0, 1, 3, 4, 2, 0, 1, 0, 0, 4, 4, 1, 0, 0, 1, 1, 4, 3, 2, 1, 2, 3, 4, 1, 2, 0, 3, 2, 0, 4, 3, 4, 2, 2, 3, 2, 4, 1, 4, 3, 3, 0, 3, 1, 4, 0, 1, 2, 3, 4, 0, 1, 3, 0, 3, 4, 0, 3, 2, 4, 2, 0, 0, 4, 0, 4, 3, 0, 1, 1, 2, 3, 3, 2, 2, 1, 0, 4, 0, 1, 1, 2, 4, 1, 3, 1, 4, 3, 4, 3, 4, 1, 3, 1, 1, 0, 1, 1, 1, 3, 2, 2, 1, 2, 1, 4, 4, 3, 3, 1, 4, 1, 4, 3, 4, 0, 4, 2, 2, 4, 2, 0, 3, 4, 0, 4, 3, 4, 3, 2, 3, 1, 0, 0, 3, 0, 4, 4, 0, 0, 3, 1, 1, 1, 1, 2, 0, 3, 0, 2, 2, 3, 2, 4, 4, 3] pubkeycol1200 = [0, 2, 0, 2, 4, 2, 3, 3, 2, 1, 1, 1, 2, 4, 2, 1, 2, 4, 3, 1, 2, 3, 3, 3, 0, 4, 1, 0, 1, 4, 2, 1, 4, 2, 1, 3, 2, 2, 2, 0, 4, 3, 4, 1, 2, 3, 0, 1, 4, 0, 0, 1, 0, 2, 1, 2, 4, 1, 0, 3, 4, 4, 3, 0, 1, 3, 3, 4, 4, 1, 1, 1, 4, 3, 3, 1, 3, 4, 2, 3, 3, 3, 3, 0, 3, 1, 2, 4, 3, 3, 3, 2, 1, 1, 2, 0, 2, 2, 0, 4, 4, 4, 3, 3, 2, 4, 1, 4, 3, 2, 1, 0, 3, 4, 4, 4, 1, 3, 2, 0, 3, 0, 2, 0, 4, 2, 0, 0, 3, 2, 0, 0, 4, 2, 2, 4, 4, 3, 3, 4, 2, 3, 0, 2, 1, 4, 2, 0, 1, 0, 4, 3, 1, 2, 0, 3, 4, 1, 3, 1, 2, 4, 3, 4, 3, 3, 3, 0, 3, 2, 4, 0, 0, 3, 2, 3, 1, 1, 4, 1, 1, 2, 2, 0, 3, 3, 4, 2, 0, 0, 0, 3, 1, 3, 4, 2, 0, 3, 2, 4, 1, 1, 2, 4, 0, 4, 1, 4, 4, 1, 4, 0, 1, 1, 0, 4, 2, 1, 3, 1, 1, 1, 2, 4, 3, 0, 2, 3, 1, 1, 4, 1, 3, 3, 2, 0, 3, 1, 0, 4, 3, 2, 2, 2, 1, 2, 3, 2, 2, 0, 1, 0, 4, 0, 2, 1, 3, 4, 0, 1, 1, 3, 1, 1, 1, 3, 3, 4, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 3, 2, 2, 3, 3, 4, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 4, 3, 1, 3, 1, 3, 0, 3, 0, 1, 0, 4, 3, 2, 3, 0, 0, 2, 2, 0, 4, 2, 3, 3, 4, 4, 1, 4, 1, 4, 3, 4, 4, 4, 1, 0, 0, 0, 3, 4, 0, 2, 4, 3, 3, 0, 4, 4, 4, 1, 1, 4, 0, 1, 4, 2, 3, 2, 0, 1, 0, 4, 3, 2, 1, 4, 0, 2, 4, 0, 0, 2, 0, 0, 3, 1, 3, 0, 2, 0, 2, 0, 4, 2, 4, 4, 1, 3, 1, 2, 2, 2, 4, 1, 0, 0, 1, 3, 3, 1, 1, 0, 0, 4] pubkeycol1201 = [2, 2, 0, 4, 0, 0, 0, 1, 4, 3, 4, 2, 0, 4, 4, 2, 4, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 3, 2, 1, 3, 1, 4, 3, 1, 2, 1, 1, 0, 3, 0, 2, 4, 4, 2, 3, 0, 1, 2, 1, 2, 3, 1, 1, 2, 2, 1, 4, 4, 4, 0, 3, 2, 0, 3, 1, 3, 1, 4, 2, 0, 4, 3, 3, 2, 0, 1, 1, 4, 3, 0, 3, 2, 1, 0, 4, 2, 2, 4, 3, 3, 0, 2, 3, 0, 0, 3, 3, 4, 1, 3, 3, 4, 0, 1, 1, 2, 1, 2, 3, 3, 4, 3, 1, 2, 1, 0, 3, 3, 0, 0, 1, 2, 4, 4, 0, 0, 2, 4, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 3, 0, 0, 0, 1, 0, 2, 0, 1, 3, 3, 1, 3, 3, 3, 0, 4, 3, 3, 4, 0, 0, 0, 2, 1, 4, 3, 1, 1, 4, 0, 0, 3, 2, 2, 3, 3, 4, 0, 2, 0, 1, 4, 3, 3, 3, 3, 2, 3, 4, 2, 2, 4, 0, 3, 2, 2, 3, 2, 3, 2, 0, 0, 2, 0, 1, 1, 3, 0, 0, 0, 3, 3, 0, 1, 1, 3, 4, 1, 1, 0, 0, 1, 2, 4, 0, 3, 4, 3, 1, 1, 3, 4, 0, 2, 4, 3, 3, 2, 2, 0, 0, 0, 3, 2, 3, 0, 1, 4, 4, 2, 0, 0, 2, 4, 4, 1, 3, 4, 4, 0, 3, 4, 1, 2, 4, 3, 4, 1, 2, 2, 0, 2, 4, 1, 0, 2, 4, 1, 1, 4, 4, 0, 1, 3, 0, 0, 2, 4, 0, 3, 2, 1, 0, 1, 3, 3, 4, 3, 4, 2, 4, 3, 1, 3, 0, 3, 4, 3, 4, 3, 1, 0, 2, 1, 4, 0, 2, 3, 3, 4, 3, 0, 0, 2, 4, 0, 4, 4, 0, 1, 1, 3, 0, 2, 1, 2, 1, 2, 1, 0, 2, 3, 1, 2, 2, 0, 2, 3, 2, 4, 1, 2, 0, 4, 0, 1, 2, 4, 2, 0, 1, 4, 2, 2, 3, 2, 4, 4, 0, 2, 3, 1, 4, 0, 0, 1, 1, 0, 4, 4, 0, 4, 2, 0, 2, 2, 3, 0, 0, 2, 4] pubkeycol1202 = [4, 4, 2, 0, 0, 1, 2, 0, 4, 3, 4, 4, 1, 2, 0, 2, 4, 3, 4, 2, 4, 1, 2, 4, 0, 1, 1, 1, 3, 0, 0, 0, 4, 2, 2, 4, 3, 2, 4, 0, 4, 1, 1, 1, 2, 3, 0, 3, 2, 0, 0, 4, 4, 3, 3, 1, 1, 2, 4, 0, 4, 4, 4, 1, 1, 3, 0, 1, 2, 3, 4, 2, 0, 4, 4, 4, 4, 2, 3, 2, 3, 2, 0, 4, 4, 1, 2, 2, 1, 0, 3, 1, 3, 2, 4, 1, 0, 2, 2, 4, 4, 0, 0, 2, 1, 2, 3, 3, 1, 2, 1, 2, 4, 1, 3, 3, 1, 0, 3, 4, 3, 0, 2, 4, 0, 3, 2, 4, 1, 3, 4, 0, 1, 1, 4, 3, 4, 1, 3, 2, 0, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 1, 2, 3, 3, 4, 1, 0, 3, 1, 0, 4, 0, 3, 1, 4, 3, 4, 4, 0, 3, 2, 2, 1, 3, 4, 4, 0, 2, 2, 0, 0, 4, 1, 2, 0, 3, 2, 2, 4, 4, 2, 4, 4, 3, 1, 4, 0, 0, 2, 0, 2, 3, 1, 3, 4, 2, 2, 3, 4, 2, 0, 2, 3, 0, 4, 4, 0, 3, 2, 2, 2, 4, 1, 0, 3, 4, 2, 1, 2, 1, 0, 2, 2, 4, 2, 2, 1, 3, 3, 2, 4, 0, 1, 2, 0, 4, 3, 0, 3, 3, 4, 0, 3, 4, 4, 1, 1, 4, 1, 1, 1, 4, 4, 2, 3, 1, 3, 1, 3, 4, 4, 0, 0, 1, 0, 4, 2, 2, 3, 2, 3, 4, 2, 2, 1, 1, 3, 2, 1, 4, 1, 0, 3, 2, 4, 1, 2, 3, 1, 1, 2, 2, 0, 4, 4, 1, 1, 4, 2, 3, 0, 4, 0, 3, 2, 2, 0, 1, 3, 1, 1, 2, 2, 3, 4, 1, 3, 0, 1, 2, 4, 2, 1, 3, 3, 0, 3, 3, 3, 0, 4, 2, 1, 3, 1, 1, 2, 3, 4, 3, 1, 3, 0, 4, 0, 2, 1, 0, 1, 2, 1, 0, 4, 0, 4, 3, 0, 2, 0, 1, 3, 2, 1, 1, 2, 3, 1, 4, 1, 3, 2, 1, 2, 4, 0, 1, 1, 3, 0, 1, 1, 4, 3, 0, 3, 0, 4, 0] pubkeycol1203 = [2, 1, 0, 1, 0, 1, 1, 4, 1, 2, 2, 3, 0, 1, 0, 3, 3, 0, 4, 0, 1, 2, 0, 1, 1, 2, 2, 2, 3, 1, 1, 4, 3, 2, 2, 1, 2, 0, 0, 3, 3, 4, 1, 1, 4, 3, 3, 1, 0, 2, 3, 3, 2, 1, 2, 3, 0, 3, 0, 0, 0, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 4, 4, 1, 1, 0, 0, 2, 3, 3, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 3, 2, 1, 0, 0, 0, 4, 0, 0, 2, 0, 4, 2, 3, 1, 3, 1, 4, 1, 3, 3, 2, 3, 3, 0, 1, 3, 0, 3, 2, 0, 2, 2, 0, 3, 0, 0, 0, 3, 3, 3, 4, 1, 2, 2, 4, 1, 3, 4, 4, 3, 0, 1, 4, 4, 4, 1, 0, 0, 2, 4, 0, 2, 1, 3, 0, 2, 2, 1, 2, 3, 0, 3, 4, 1, 2, 0, 4, 2, 2, 2, 4, 0, 0, 1, 0, 1, 4, 0, 0, 0, 3, 3, 2, 2, 1, 4, 2, 1, 1, 0, 2, 2, 1, 1, 4, 2, 1, 3, 4, 4, 2, 1, 2, 0, 2, 2, 1, 0, 3, 0, 4, 3, 1, 0, 3, 4, 4, 4, 4, 3, 2, 0, 4, 0, 3, 1, 3, 2, 3, 4, 4, 4, 2, 3, 0, 0, 2, 2, 4, 0, 3, 0, 1, 2, 2, 4, 3, 3, 3, 0, 3, 3, 1, 4, 3, 1, 2, 2, 3, 1, 0, 2, 1, 3, 3, 3, 0, 1, 0, 0, 2, 1, 3, 2, 2, 0, 3, 0, 4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 2, 4, 0, 4, 3, 3, 1, 3, 4, 1, 4, 2, 3, 3, 4, 4, 1, 4, 1, 1, 1, 1, 1, 2, 1, 4, 1, 3, 2, 4, 2, 2, 4, 0, 0, 4, 0, 3, 1, 1, 2, 3, 4, 0, 1, 1, 3, 3, 3, 4, 0, 0, 0, 3, 3, 0, 3, 3, 0, 2, 0, 0, 2, 1, 0, 1, 3, 3, 3, 3, 3, 4, 3, 2, 0, 0, 2, 2, 0, 0, 1, 3, 3, 1, 2, 3, 1, 0, 0, 4, 1, 1, 4, 1, 1, 3, 4, 2, 3, 1] pubkeycol1204 = [0, 0, 4, 3, 3, 4, 0, 2, 3, 1, 1, 1, 2, 3, 3, 2, 0, 2, 3, 4, 4, 4, 0, 3, 4, 3, 4, 1, 1, 0, 4, 3, 4, 3, 2, 3, 2, 0, 4, 0, 4, 1, 0, 2, 1, 4, 0, 1, 2, 4, 3, 4, 0, 0, 2, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 2, 1, 4, 1, 4, 1, 3, 1, 4, 1, 1, 0, 4, 0, 3, 0, 3, 4, 3, 4, 2, 2, 4, 0, 2, 4, 4, 4, 3, 2, 4, 4, 0, 3, 0, 3, 1, 1, 3, 2, 0, 1, 3, 0, 1, 0, 0, 2, 1, 0, 2, 4, 1, 2, 3, 2, 4, 2, 0, 1, 2, 2, 2, 2, 4, 2, 4, 1, 2, 0, 3, 1, 0, 4, 4, 0, 3, 4, 0, 4, 0, 3, 0, 2, 0, 3, 0, 4, 1, 0, 1, 1, 1, 4, 4, 4, 0, 3, 2, 0, 4, 0, 2, 4, 1, 3, 2, 1, 2, 0, 4, 1, 3, 3, 1, 0, 0, 0, 1, 1, 0, 2, 2, 4, 4, 1, 1, 1, 2, 3, 4, 3, 2, 2, 4, 3, 4, 3, 1, 4, 3, 1, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 0, 4, 2, 4, 1, 1, 2, 0, 3, 4, 1, 2, 3, 0, 2, 4, 4, 0, 4, 1, 0, 0, 0, 3, 2, 0, 0, 2, 0, 1, 4, 0, 1, 4, 1, 1, 0, 2, 2, 1, 1, 4, 3, 1, 1, 3, 2, 4, 1, 2, 3, 1, 2, 3, 3, 0, 1, 0, 0, 4, 4, 0, 2, 0, 1, 4, 1, 4, 3, 1, 1, 1, 1, 2, 0, 0, 2, 0, 3, 4, 1, 1, 0, 3, 1, 4, 4, 4, 0, 2, 3, 3, 1, 1, 1, 0, 4, 1, 0, 1, 2, 4, 1, 2, 4, 4, 0, 4, 4, 3, 1, 4, 1, 2, 4, 0, 0, 1, 2, 0, 3, 1, 3, 3, 1, 0, 0, 2, 1, 0, 0, 1, 4, 0, 0, 0, 2, 2, 3, 4, 3, 4, 0, 3, 0, 3, 4, 3, 4, 0, 2, 1, 4, 2, 3, 0, 3, 2, 3, 1, 0, 2, 3, 1, 4, 0, 3, 1, 3, 0, 4, 1, 2, 2, 3, 0, 4, 1, 2, 1, 4, 0] pubkeycol1205 = [2, 4, 0, 4, 4, 1, 0, 2, 0, 2, 3, 3, 2, 3, 1, 0, 2, 0, 3, 1, 3, 4, 3, 0, 3, 2, 4, 1, 0, 4, 2, 4, 2, 3, 0, 4, 3, 4, 4, 0, 2, 0, 3, 1, 2, 0, 2, 0, 4, 4, 1, 4, 1, 4, 2, 0, 0, 4, 3, 4, 3, 1, 3, 3, 1, 3, 3, 2, 0, 4, 4, 1, 1, 3, 3, 1, 4, 0, 4, 4, 1, 0, 3, 3, 0, 3, 1, 3, 3, 4, 3, 3, 0, 3, 2, 2, 1, 4, 1, 4, 0, 3, 0, 4, 0, 4, 3, 0, 0, 4, 0, 4, 1, 2, 3, 0, 3, 2, 3, 3, 4, 4, 0, 0, 1, 2, 3, 3, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 4, 0, 3, 2, 3, 3, 2, 0, 0, 0, 3, 0, 3, 1, 4, 3, 3, 1, 4, 4, 4, 3, 2, 3, 2, 1, 4, 1, 2, 3, 1, 2, 1, 0, 4, 4, 1, 3, 3, 2, 1, 0, 3, 2, 3, 1, 3, 0, 3, 0, 4, 2, 1, 0, 4, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 3, 0, 4, 3, 2, 2, 3, 2, 4, 4, 4, 3, 1, 4, 0, 4, 1, 1, 4, 2, 2, 4, 3, 4, 1, 1, 1, 0, 0, 3, 1, 2, 0, 4, 1, 0, 1, 3, 1, 4, 4, 0, 2, 4, 1, 4, 1, 3, 0, 3, 3, 1, 3, 3, 2, 4, 2, 1, 2, 0, 2, 2, 1, 0, 1, 4, 4, 4, 0, 2, 2, 3, 0, 0, 1, 1, 4, 0, 4, 4, 3, 1, 3, 3, 3, 2, 3, 2, 3, 0, 2, 3, 4, 0, 3, 0, 2, 4, 0, 4, 2, 3, 2, 2, 2, 1, 4, 1, 0, 0, 4, 1, 1, 2, 3, 2, 3, 1, 3, 2, 2, 1, 0, 3, 1, 1, 2, 3, 1, 4, 2, 2, 3, 0, 1, 0, 2, 1, 4, 3, 1, 0, 1, 2, 1, 3, 4, 0, 3, 4, 2, 3, 0, 3, 0, 0, 1, 0, 1, 2, 2, 3, 0, 4, 3, 4, 1, 4, 0, 3, 1, 2, 3, 1, 0, 3, 4, 0, 3, 4, 0, 1, 3, 2, 0, 4, 1, 1] pubkeycol1206 = [2, 3, 0, 4, 1, 3, 1, 2, 3, 1, 4, 1, 0, 0, 1, 1, 0, 4, 1, 4, 4, 3, 0, 2, 1, 0, 4, 3, 2, 0, 0, 1, 0, 3, 2, 4, 4, 1, 4, 4, 4, 0, 0, 1, 2, 3, 2, 1, 1, 0, 4, 4, 3, 1, 4, 1, 0, 0, 4, 4, 4, 1, 0, 2, 1, 2, 4, 4, 3, 4, 4, 0, 0, 0, 1, 3, 4, 1, 3, 4, 1, 3, 0, 2, 2, 1, 1, 1, 0, 1, 3, 3, 3, 0, 4, 0, 3, 0, 3, 2, 0, 2, 0, 4, 2, 1, 2, 2, 4, 1, 0, 0, 1, 0, 1, 0, 0, 3, 0, 1, 2, 0, 0, 1, 1, 2, 4, 1, 1, 2, 1, 0, 0, 1, 2, 4, 1, 0, 0, 1, 2, 1, 0, 4, 0, 2, 4, 2, 4, 1, 2, 2, 1, 4, 2, 4, 1, 4, 1, 4, 1, 3, 3, 1, 4, 1, 4, 0, 2, 4, 0, 2, 2, 2, 0, 3, 2, 2, 4, 0, 2, 4, 1, 0, 3, 1, 3, 3, 0, 3, 3, 0, 2, 2, 4, 3, 4, 3, 0, 0, 1, 1, 4, 4, 4, 3, 0, 2, 3, 4, 1, 4, 4, 2, 4, 0, 3, 1, 0, 4, 4, 2, 4, 4, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 3, 3, 2, 2, 3, 0, 4, 3, 4, 2, 4, 2, 4, 3, 4, 1, 1, 4, 4, 1, 1, 2, 2, 0, 4, 1, 3, 2, 4, 3, 3, 3, 3, 1, 4, 3, 3, 2, 3, 3, 3, 0, 3, 4, 2, 1, 0, 4, 2, 2, 2, 1, 3, 0, 1, 4, 1, 1, 2, 3, 0, 4, 2, 2, 3, 1, 3, 1, 0, 4, 0, 4, 1, 3, 0, 3, 1, 3, 2, 3, 4, 2, 2, 3, 4, 4, 1, 1, 0, 1, 2, 4, 3, 2, 3, 0, 1, 3, 0, 4, 4, 4, 1, 4, 2, 0, 0, 2, 0, 0, 1, 0, 0, 3, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 4, 1, 3, 2, 2, 1, 1, 1, 0, 0, 0, 4, 4, 4, 3, 1, 2, 0, 3, 1, 4, 0, 3, 0, 1, 0, 2, 2, 3, 2, 1, 1, 1, 4, 0, 4, 0, 4, 1, 2] pubkeycol1207 = [4, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 4, 0, 1, 2, 0, 1, 4, 3, 1, 0, 1, 4, 0, 4, 3, 3, 4, 0, 4, 3, 4, 3, 2, 1, 0, 2, 4, 1, 2, 4, 0, 2, 0, 3, 4, 3, 2, 2, 1, 0, 4, 1, 3, 3, 4, 0, 0, 0, 3, 1, 4, 0, 4, 4, 1, 3, 4, 4, 1, 1, 3, 4, 0, 2, 0, 3, 3, 2, 0, 2, 2, 1, 1, 0, 3, 4, 1, 0, 4, 2, 0, 4, 2, 2, 3, 0, 1, 3, 0, 1, 3, 2, 2, 0, 1, 1, 2, 1, 4, 3, 3, 2, 4, 4, 0, 0, 3, 3, 1, 1, 2, 4, 3, 2, 4, 1, 0, 4, 4, 0, 2, 1, 3, 1, 4, 4, 0, 1, 4, 2, 2, 2, 1, 1, 2, 3, 1, 0, 1, 3, 0, 1, 3, 3, 0, 0, 2, 3, 3, 0, 3, 2, 1, 1, 3, 3, 1, 2, 1, 1, 0, 4, 3, 0, 1, 1, 3, 3, 4, 2, 2, 4, 3, 4, 3, 0, 3, 2, 4, 0, 1, 0, 4, 2, 0, 3, 0, 4, 4, 2, 4, 0, 0, 0, 4, 1, 4, 2, 2, 3, 4, 3, 0, 2, 4, 0, 4, 3, 4, 0, 3, 3, 1, 4, 4, 3, 1, 1, 2, 0, 1, 1, 2, 3, 1, 2, 3, 0, 1, 1, 2, 1, 1, 2, 1, 2, 4, 0, 1, 1, 0, 4, 3, 1, 4, 0, 3, 3, 2, 2, 3, 3, 2, 1, 2, 2, 1, 2, 1, 2, 1, 4, 3, 2, 2, 1, 2, 2, 2, 3, 1, 4, 3, 3, 3, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 3, 4, 3, 1, 3, 3, 4, 2, 3, 0, 3, 4, 1, 4, 4, 3, 4, 1, 4, 0, 4, 4, 2, 0, 2, 2, 4, 0, 4, 2, 3, 1, 2, 0, 4, 4, 3, 4, 4, 0, 2, 2, 0, 4, 2, 0, 3, 3, 0, 4, 1, 0, 4, 2, 3, 2, 2, 4, 2, 0, 4, 0, 1, 1, 4, 4, 2, 2, 4, 0, 2, 2, 4, 3, 2, 2, 2, 4, 4, 3, 2, 3, 1, 3, 0, 4, 2, 3, 2, 1, 4, 3, 2, 1, 3, 1, 4, 0, 2, 0, 4, 1, 0] pubkeycol1208 = [2, 3, 4, 1, 0, 2, 0, 0, 4, 0, 3, 3, 2, 4, 1, 0, 4, 3, 4, 0, 3, 1, 2, 1, 4, 1, 1, 3, 1, 0, 4, 3, 4, 0, 4, 2, 0, 2, 3, 0, 0, 3, 1, 0, 2, 0, 4, 1, 3, 4, 3, 0, 4, 1, 1, 0, 2, 2, 2, 1, 2, 3, 0, 4, 4, 4, 4, 0, 4, 3, 4, 3, 4, 1, 1, 0, 4, 4, 4, 0, 4, 0, 3, 0, 1, 0, 0, 0, 3, 1, 0, 3, 4, 4, 4, 1, 1, 1, 3, 4, 1, 1, 2, 2, 0, 2, 2, 2, 3, 4, 3, 4, 4, 3, 2, 3, 0, 3, 4, 3, 0, 3, 0, 2, 2, 4, 2, 3, 1, 2, 4, 1, 4, 3, 4, 1, 3, 4, 4, 2, 3, 3, 3, 4, 2, 3, 2, 1, 3, 2, 0, 3, 2, 4, 4, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 2, 3, 1, 3, 3, 1, 3, 0, 1, 1, 1, 4, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 3, 0, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 4, 1, 3, 1, 1, 2, 1, 4, 0, 1, 0, 2, 3, 0, 0, 4, 4, 2, 4, 2, 3, 0, 0, 1, 3, 2, 4, 1, 0, 4, 4, 0, 3, 2, 3, 0, 3, 2, 3, 3, 0, 4, 0, 3, 0, 4, 3, 0, 3, 1, 2, 2, 4, 3, 3, 4, 4, 1, 1, 1, 4, 0, 4, 4, 2, 2, 0, 3, 1, 0, 0, 3, 4, 0, 1, 1, 1, 2, 3, 0, 0, 2, 2, 3, 0, 1, 4, 2, 2, 2, 0, 3, 0, 4, 3, 3, 0, 3, 1, 3, 0, 4, 4, 0, 0, 1, 4, 1, 1, 4, 4, 4, 2, 4, 3, 3, 2, 0, 0, 0, 2, 2, 0, 4, 2, 4, 2, 0, 0, 0, 4, 0, 4, 1, 1, 2, 4, 1, 3, 4, 2, 1, 0, 2, 1, 3, 1, 1, 4, 3, 3, 4, 3, 0, 2, 2, 3, 2, 1, 2, 1, 0, 3, 3, 2, 4, 4, 0, 2, 4, 1, 1, 4, 2, 2, 3, 1, 2, 3, 2, 0, 4, 4, 1, 2, 3, 3, 3, 0, 3, 0, 4, 1, 3, 1, 1, 3, 4, 0, 2, 3] pubkeycol1209 = [0, 4, 2, 2, 4, 1, 0, 2, 3, 1, 2, 1, 2, 4, 1, 4, 2, 0, 2, 4, 2, 1, 1, 0, 3, 1, 0, 3, 0, 3, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 0, 3, 2, 0, 3, 2, 4, 3, 4, 3, 2, 3, 4, 4, 0, 0, 0, 2, 2, 1, 3, 2, 1, 0, 0, 0, 1, 3, 0, 1, 4, 2, 0, 2, 4, 0, 3, 0, 1, 1, 2, 3, 3, 1, 4, 2, 0, 2, 4, 1, 0, 2, 1, 3, 1, 2, 0, 4, 2, 4, 3, 2, 1, 2, 2, 3, 1, 2, 4, 1, 0, 1, 1, 3, 0, 3, 4, 4, 3, 2, 2, 0, 4, 4, 3, 1, 4, 4, 4, 0, 1, 2, 3, 4, 1, 4, 0, 2, 1, 0, 1, 4, 2, 2, 1, 0, 1, 4, 4, 2, 0, 0, 0, 0, 3, 2, 0, 0, 0, 4, 0, 1, 1, 3, 1, 2, 1, 4, 3, 1, 1, 0, 0, 3, 1, 1, 3, 3, 2, 4, 3, 1, 3, 4, 1, 4, 4, 3, 1, 1, 4, 4, 0, 2, 0, 0, 4, 1, 3, 2, 3, 3, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 4, 4, 2, 4, 2, 0, 0, 3, 1, 2, 4, 2, 2, 3, 1, 1, 1, 4, 0, 4, 4, 4, 1, 2, 0, 0, 0, 2, 0, 4, 2, 2, 0, 2, 1, 0, 1, 1, 3, 2, 0, 4, 1, 1, 2, 4, 0, 0, 2, 0, 3, 0, 3, 1, 0, 0, 3, 3, 4, 2, 1, 3, 0, 2, 4, 4, 3, 1, 4, 3, 2, 2, 3, 4, 2, 2, 0, 0, 1, 4, 1, 1, 3, 1, 3, 0, 3, 4, 0, 2, 2, 0, 1, 1, 2, 2, 1, 3, 2, 0, 4, 2, 1, 2, 1, 3, 1, 1, 4, 4, 1, 1, 4, 3, 1, 4, 3, 3, 3, 4, 0, 2, 2, 1, 2, 2, 4, 0, 4, 2, 2, 1, 0, 0, 1, 4, 3, 3, 2, 3, 0, 2, 1, 1, 0, 1, 1, 4, 3, 2, 4, 3, 4, 0, 2, 1, 4, 2, 4, 4, 0, 2, 0, 2, 4, 0, 1, 3, 1, 1, 3, 2, 4, 2, 4, 3, 0, 1, 4, 0, 4, 1, 4, 3, 0, 2, 4] pubkeycol1210 = [2, 2, 1, 0, 3, 1, 2, 2, 4, 4, 4, 1, 2, 2, 1, 1, 0, 4, 1, 0, 2, 4, 0, 4, 3, 0, 3, 3, 3, 2, 3, 0, 3, 3, 1, 3, 1, 1, 1, 0, 0, 4, 1, 1, 2, 3, 4, 4, 0, 0, 1, 1, 2, 3, 4, 1, 2, 2, 4, 0, 2, 3, 2, 1, 3, 2, 3, 3, 1, 1, 3, 2, 2, 1, 2, 0, 1, 3, 3, 4, 2, 2, 4, 2, 3, 3, 4, 3, 3, 4, 1, 4, 0, 2, 4, 1, 1, 0, 0, 2, 2, 1, 3, 4, 2, 2, 0, 3, 4, 3, 0, 2, 1, 2, 2, 0, 2, 4, 3, 0, 0, 2, 0, 0, 2, 2, 2, 4, 0, 0, 1, 3, 2, 1, 0, 4, 3, 3, 4, 0, 0, 2, 2, 0, 0, 3, 4, 0, 4, 4, 1, 3, 2, 1, 4, 0, 2, 4, 3, 1, 0, 0, 2, 4, 2, 1, 4, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 4, 4, 0, 1, 1, 3, 2, 2, 3, 0, 2, 4, 2, 4, 0, 1, 1, 1, 2, 2, 2, 0, 2, 4, 1, 3, 3, 3, 2, 1, 0, 1, 2, 1, 2, 3, 0, 1, 2, 0, 4, 2, 4, 3, 4, 3, 3, 2, 3, 1, 2, 0, 2, 3, 2, 0, 1, 4, 2, 3, 4, 4, 0, 4, 1, 2, 2, 0, 3, 4, 0, 0, 4, 4, 0, 4, 2, 1, 3, 3, 2, 0, 0, 3, 1, 2, 1, 4, 0, 3, 0, 4, 1, 0, 3, 3, 2, 2, 3, 4, 3, 4, 1, 4, 4, 2, 1, 1, 1, 2, 2, 0, 4, 3, 2, 1, 1, 0, 0, 4, 2, 4, 2, 0, 3, 4, 1, 0, 3, 0, 4, 3, 4, 0, 4, 0, 2, 4, 1, 0, 1, 2, 4, 4, 2, 2, 3, 0, 3, 3, 1, 2, 2, 3, 2, 3, 0, 1, 2, 4, 1, 0, 1, 0, 1, 2, 4, 3, 2, 1, 2, 0, 1, 2, 0, 0, 4, 0, 0, 4, 2, 3, 0, 0, 2, 0, 2, 3, 4, 0, 1, 3, 4, 3, 3, 4, 1, 1, 4, 3, 0, 0, 2, 4, 4, 3, 3, 3, 4, 3, 1, 0, 0, 1, 2, 4, 1, 2, 2, 3] pubkeycol1211 = [0, 3, 1, 0, 0, 4, 4, 0, 1, 0, 4, 4, 0, 0, 1, 2, 4, 2, 2, 0, 4, 4, 2, 0, 1, 3, 4, 0, 3, 1, 4, 0, 1, 1, 4, 0, 0, 1, 2, 3, 4, 1, 0, 4, 4, 3, 2, 0, 4, 2, 0, 1, 1, 2, 4, 4, 3, 4, 1, 1, 1, 4, 2, 4, 2, 1, 0, 2, 4, 1, 0, 1, 0, 4, 4, 2, 1, 1, 1, 2, 0, 2, 1, 4, 2, 1, 2, 4, 3, 1, 2, 2, 4, 2, 4, 3, 4, 3, 2, 4, 2, 2, 3, 0, 4, 0, 0, 4, 3, 2, 4, 4, 3, 3, 4, 4, 1, 3, 1, 3, 3, 3, 3, 1, 3, 4, 1, 3, 3, 4, 4, 4, 0, 1, 4, 3, 3, 0, 1, 4, 2, 1, 3, 0, 0, 3, 2, 2, 1, 3, 4, 2, 1, 2, 0, 1, 1, 4, 2, 4, 3, 1, 2, 2, 3, 4, 3, 4, 3, 3, 0, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 0, 1, 1, 2, 4, 1, 3, 3, 1, 3, 0, 2, 2, 0, 3, 1, 3, 1, 3, 1, 3, 2, 2, 3, 4, 1, 1, 3, 4, 0, 2, 4, 4, 1, 3, 4, 1, 3, 2, 4, 3, 4, 4, 2, 4, 3, 4, 1, 4, 0, 0, 3, 0, 2, 2, 1, 2, 4, 0, 4, 4, 2, 2, 3, 3, 0, 4, 0, 2, 1, 0, 0, 1, 4, 0, 4, 4, 4, 2, 1, 4, 1, 1, 3, 1, 4, 4, 3, 0, 4, 0, 0, 0, 3, 1, 3, 3, 0, 3, 4, 1, 4, 4, 2, 3, 0, 2, 4, 0, 2, 0, 2, 2, 4, 1, 0, 0, 1, 4, 4, 1, 2, 3, 2, 3, 1, 1, 1, 4, 1, 3, 1, 2, 0, 1, 0, 4, 4, 0, 2, 0, 1, 0, 2, 2, 2, 4, 1, 1, 0, 4, 0, 2, 2, 3, 1, 2, 4, 0, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 4, 4, 4, 4, 3, 0, 3, 2, 3, 2, 2, 2, 3, 2, 0, 1, 1, 4, 4, 1, 4, 1, 2, 2, 3, 3, 1, 4, 0, 3, 0, 3, 4, 2, 2, 4, 1, 4, 1, 2, 1, 3, 1, 0, 1, 3, 2, 2, 3, 2] pubkeycol1212 = [0, 2, 3, 2, 1, 1, 4, 0, 2, 3, 4, 0, 4, 0, 2, 3, 0, 2, 2, 3, 3, 4, 1, 0, 0, 0, 1, 2, 1, 4, 1, 2, 2, 3, 3, 1, 3, 2, 1, 3, 0, 4, 4, 1, 1, 4, 0, 4, 2, 2, 4, 3, 4, 1, 1, 1, 0, 4, 3, 2, 3, 2, 0, 0, 4, 2, 3, 2, 2, 1, 1, 3, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 4, 1, 0, 2, 4, 1, 2, 2, 3, 3, 3, 1, 4, 1, 2, 3, 1, 2, 2, 3, 1, 2, 1, 4, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 4, 4, 0, 3, 2, 3, 1, 1, 4, 3, 0, 1, 2, 0, 2, 4, 2, 3, 1, 4, 4, 1, 1, 0, 3, 3, 4, 3, 4, 2, 1, 1, 4, 3, 0, 0, 0, 4, 3, 0, 1, 3, 2, 0, 0, 3, 0, 3, 4, 3, 2, 3, 4, 0, 2, 4, 3, 3, 1, 2, 0, 2, 0, 4, 4, 1, 3, 1, 0, 0, 2, 1, 3, 0, 3, 0, 3, 2, 1, 3, 0, 0, 1, 2, 4, 3, 3, 0, 1, 4, 2, 0, 3, 1, 1, 0, 0, 1, 2, 1, 1, 2, 3, 4, 0, 2, 4, 4, 0, 4, 2, 4, 4, 1, 1, 3, 3, 4, 2, 1, 2, 4, 0, 1, 2, 3, 2, 2, 3, 4, 3, 0, 4, 0, 1, 3, 4, 1, 1, 3, 0, 0, 2, 0, 4, 3, 0, 1, 2, 2, 3, 3, 4, 0, 1, 2, 1, 4, 4, 4, 1, 1, 2, 3, 4, 2, 4, 3, 4, 1, 4, 3, 1, 3, 0, 3, 3, 1, 2, 4, 2, 1, 3, 4, 3, 1, 3, 2, 3, 4, 3, 1, 4, 2, 2, 3, 0, 1, 4, 1, 2, 1, 2, 2, 0, 2, 3, 3, 0, 4, 0, 3, 4, 4, 0, 2, 0, 3, 2, 2, 2, 1, 1, 4, 1, 3, 4, 3, 4, 1, 3, 0, 1, 0, 0, 4, 0, 3, 4, 2, 4, 1, 2, 1, 4, 1, 3, 1, 0, 3, 2, 3, 2, 3, 3, 0, 3, 0, 0, 1, 0, 4, 1, 2, 4, 0, 0, 0, 1, 2, 0, 0, 4, 2, 4, 4, 0] pubkeycol1213 = [0, 4, 2, 0, 4, 3, 2, 4, 3, 1, 4, 4, 4, 2, 1, 4, 3, 4, 2, 2, 0, 1, 1, 1, 0, 0, 4, 3, 4, 1, 1, 1, 4, 1, 1, 2, 1, 4, 4, 3, 3, 4, 0, 0, 4, 4, 3, 1, 4, 3, 2, 4, 2, 0, 4, 3, 3, 2, 1, 4, 2, 0, 0, 1, 2, 4, 3, 3, 3, 1, 4, 4, 4, 2, 2, 1, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 2, 4, 4, 2, 1, 1, 3, 4, 0, 3, 0, 1, 2, 4, 2, 4, 0, 4, 3, 2, 2, 4, 4, 0, 0, 1, 1, 3, 3, 4, 3, 1, 1, 2, 4, 3, 1, 2, 4, 0, 3, 2, 3, 4, 1, 1, 3, 3, 0, 3, 2, 0, 0, 0, 3, 0, 4, 1, 0, 0, 2, 4, 3, 3, 4, 2, 0, 1, 2, 1, 1, 3, 0, 1, 4, 1, 2, 2, 4, 4, 0, 0, 2, 4, 2, 2, 2, 3, 1, 1, 4, 1, 1, 2, 0, 3, 0, 1, 2, 4, 3, 2, 2, 0, 3, 4, 2, 2, 2, 0, 4, 1, 0, 2, 1, 1, 1, 3, 0, 4, 0, 1, 1, 0, 1, 3, 3, 0, 0, 0, 2, 4, 4, 2, 1, 3, 4, 2, 4, 4, 1, 0, 3, 0, 1, 1, 2, 4, 4, 2, 2, 2, 4, 3, 2, 1, 0, 0, 3, 0, 3, 1, 1, 4, 4, 0, 3, 0, 1, 2, 3, 2, 2, 1, 3, 4, 2, 0, 1, 1, 0, 4, 0, 1, 4, 0, 3, 2, 3, 0, 4, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 1, 4, 1, 0, 1, 1, 0, 0, 4, 0, 3, 4, 4, 0, 3, 2, 3, 0, 1, 3, 1, 0, 4, 1, 4, 4, 2, 0, 2, 2, 0, 2, 2, 1, 3, 4, 4, 2, 1, 0, 2, 1, 4, 2, 2, 2, 0, 0, 4, 3, 0, 4, 3, 2, 1, 3, 4, 1, 3, 0, 3, 0, 0, 0, 1, 4, 0, 0, 2, 2, 2, 3, 4, 0, 0, 4, 2, 2, 4, 4, 3, 4, 3, 1, 3, 0, 0, 0, 2, 1, 0, 1, 3, 3, 0, 1, 1, 1, 4, 1, 0, 1, 3, 3, 1, 1, 2, 4, 2, 2, 0, 3, 2] pubkeycol1214 = [2, 2, 4, 0, 4, 1, 3, 2, 1, 1, 3, 3, 4, 3, 0, 4, 3, 2, 2, 1, 2, 0, 0, 0, 1, 4, 2, 3, 1, 1, 3, 0, 2, 0, 3, 3, 2, 2, 1, 0, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 3, 1, 4, 1, 3, 0, 2, 3, 1, 2, 3, 1, 4, 0, 0, 2, 0, 1, 4, 0, 2, 4, 4, 3, 4, 4, 1, 3, 0, 2, 3, 0, 2, 0, 3, 3, 2, 4, 1, 3, 2, 0, 4, 3, 0, 3, 0, 0, 0, 4, 1, 4, 1, 3, 1, 2, 0, 4, 4, 1, 1, 1, 2, 4, 3, 3, 0, 3, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 3, 2, 4, 1, 2, 3, 3, 0, 2, 4, 2, 2, 0, 2, 3, 0, 1, 3, 4, 4, 3, 4, 3, 0, 4, 2, 2, 1, 3, 0, 1, 0, 0, 4, 3, 4, 3, 3, 4, 1, 1, 2, 3, 1, 2, 3, 3, 4, 0, 1, 3, 2, 1, 4, 3, 1, 0, 2, 0, 0, 1, 3, 0, 4, 1, 2, 0, 3, 0, 3, 0, 4, 3, 0, 2, 2, 1, 3, 2, 4, 3, 4, 0, 1, 1, 0, 0, 3, 0, 1, 4, 4, 3, 2, 4, 1, 3, 1, 0, 0, 0, 0, 0, 4, 3, 3, 4, 2, 2, 0, 4, 4, 1, 4, 4, 3, 4, 2, 4, 0, 3, 4, 1, 0, 3, 2, 1, 2, 4, 1, 2, 3, 2, 4, 4, 1, 4, 2, 4, 2, 0, 3, 0, 3, 0, 2, 2, 3, 4, 3, 2, 2, 4, 1, 3, 4, 4, 3, 1, 4, 3, 0, 2, 4, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 4, 2, 0, 3, 1, 1, 2, 0, 0, 1, 3, 4, 0, 1, 4, 0, 0, 3, 0, 1, 1, 4, 2, 3, 2, 0, 1, 3, 2, 1, 3, 3, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 3, 0, 4, 3, 0, 4, 2, 1, 1, 2, 4, 3, 2, 2, 4, 4, 0, 2, 2, 4, 1, 2, 2, 3, 4, 2, 1, 1, 4, 4, 0, 0, 3, 3, 0, 3, 4, 4, 0, 0, 4, 2, 3, 2, 4, 0, 0, 3, 1, 0, 0, 2, 4, 1, 3] pubkeycol1215 = [1, 0, 3, 4, 4, 3, 2, 2, 2, 2, 4, 1, 1, 4, 0, 4, 1, 4, 4, 4, 1, 4, 4, 2, 3, 0, 0, 0, 4, 3, 0, 0, 0, 0, 2, 1, 4, 1, 4, 4, 4, 1, 0, 1, 0, 0, 1, 0, 2, 3, 1, 1, 3, 3, 0, 3, 1, 2, 1, 0, 4, 1, 4, 0, 0, 4, 1, 0, 3, 2, 0, 4, 0, 1, 3, 1, 1, 4, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 4, 1, 2, 4, 2, 3, 1, 3, 4, 1, 1, 4, 4, 4, 1, 2, 3, 4, 3, 2, 2, 3, 0, 0, 4, 3, 1, 1, 3, 0, 1, 1, 3, 4, 0, 3, 0, 1, 1, 4, 2, 3, 2, 2, 0, 3, 1, 1, 0, 3, 3, 4, 4, 1, 1, 0, 1, 4, 2, 4, 0, 0, 4, 0, 2, 1, 4, 1, 2, 2, 0, 3, 4, 2, 4, 2, 0, 0, 4, 3, 3, 1, 0, 1, 0, 2, 1, 0, 4, 0, 4, 4, 3, 4, 0, 0, 1, 0, 4, 1, 3, 3, 4, 1, 2, 0, 0, 3, 0, 2, 4, 4, 1, 1, 2, 1, 1, 0, 3, 4, 1, 3, 1, 1, 3, 0, 1, 3, 3, 3, 0, 3, 2, 2, 0, 0, 2, 4, 1, 2, 1, 3, 4, 2, 2, 1, 2, 1, 0, 3, 1, 4, 3, 1, 2, 2, 0, 4, 4, 3, 3, 0, 2, 1, 0, 3, 4, 1, 3, 1, 3, 0, 2, 3, 4, 0, 1, 4, 1, 2, 3, 0, 0, 4, 4, 0, 1, 0, 1, 2, 4, 2, 3, 0, 4, 1, 3, 4, 3, 4, 0, 0, 1, 4, 3, 4, 4, 4, 0, 1, 2, 3, 2, 4, 2, 3, 3, 4, 3, 1, 0, 3, 4, 2, 2, 3, 3, 3, 2, 1, 1, 2, 0, 0, 0, 1, 3, 0, 0, 4, 0, 2, 0, 2, 0, 2, 2, 2, 4, 3, 2, 0, 2, 4, 3, 0, 0, 0, 0, 4, 0, 1, 4, 2, 0, 2, 3, 0, 3, 1, 0, 0, 0, 3, 2, 4, 4, 2, 0, 3, 3, 1, 3, 1, 0, 0, 1, 1, 0, 2, 1, 3, 1, 0, 3, 4, 1, 4, 3, 2, 2, 3, 3, 0, 1, 2, 0, 0, 3, 1, 1] pubkeycol1216 = [1, 4, 4, 4, 4, 3, 2, 4, 1, 1, 1, 4, 0, 2, 1, 1, 4, 1, 0, 1, 1, 3, 2, 4, 4, 0, 1, 4, 3, 0, 2, 0, 2, 1, 2, 4, 1, 4, 3, 1, 2, 4, 3, 1, 3, 0, 1, 2, 1, 3, 0, 1, 3, 2, 4, 2, 4, 0, 4, 3, 3, 1, 4, 1, 3, 2, 2, 4, 2, 0, 2, 0, 2, 4, 3, 3, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 1, 3, 2, 2, 0, 1, 3, 2, 0, 4, 0, 2, 2, 0, 0, 0, 2, 1, 4, 0, 0, 3, 4, 3, 3, 0, 1, 4, 4, 4, 0, 1, 0, 3, 2, 0, 3, 3, 4, 2, 4, 3, 4, 1, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 4, 3, 4, 3, 4, 2, 0, 3, 2, 0, 1, 0, 2, 1, 0, 1, 4, 1, 1, 2, 3, 2, 0, 2, 3, 2, 2, 1, 4, 0, 4, 0, 3, 2, 3, 3, 4, 3, 4, 0, 4, 3, 0, 1, 1, 1, 2, 0, 1, 2, 4, 2, 2, 3, 3, 4, 3, 1, 1, 2, 2, 0, 0, 3, 3, 2, 1, 4, 4, 3, 2, 3, 0, 2, 4, 0, 4, 0, 0, 3, 2, 2, 3, 2, 0, 4, 1, 4, 4, 4, 0, 3, 2, 1, 3, 0, 4, 4, 2, 1, 1, 4, 3, 1, 3, 0, 3, 3, 1, 1, 1, 3, 2, 0, 4, 4, 3, 2, 3, 2, 4, 2, 1, 0, 2, 0, 4, 0, 0, 1, 0, 3, 0, 2, 4, 0, 4, 0, 3, 4, 3, 4, 0, 0, 2, 0, 2, 0, 2, 2, 3, 3, 1, 4, 1, 4, 3, 1, 0, 4, 1, 2, 4, 0, 3, 4, 2, 0, 4, 1, 2, 4, 3, 3, 3, 2, 1, 2, 0, 2, 2, 0, 4, 0, 3, 2, 1, 3, 2, 0, 0, 2, 0, 0, 2, 3, 1, 3, 3, 3, 2, 4, 1, 1, 0, 2, 1, 2, 3, 2, 1, 0, 0, 4, 0, 0, 2, 4, 2, 4, 2, 2, 2, 0, 1, 3, 2, 0, 2, 1, 4, 3, 3, 2, 4, 4, 2, 1, 3, 1, 0, 4, 4, 2, 1, 1, 2, 0, 1, 1, 3, 1, 1, 4, 4, 0, 2] pubkeycol1217 = [4, 0, 1, 0, 0, 0, 0, 1, 1, 2, 4, 1, 1, 3, 1, 3, 4, 4, 4, 3, 4, 2, 0, 1, 4, 4, 3, 3, 1, 4, 1, 4, 1, 3, 3, 1, 3, 3, 0, 4, 3, 1, 1, 4, 1, 0, 2, 3, 0, 4, 0, 3, 0, 3, 3, 4, 1, 3, 3, 0, 3, 1, 4, 4, 0, 4, 2, 2, 1, 3, 3, 1, 0, 4, 4, 4, 3, 4, 1, 4, 3, 3, 3, 4, 0, 2, 0, 3, 2, 4, 4, 3, 4, 4, 4, 2, 1, 4, 2, 3, 3, 0, 2, 2, 3, 1, 2, 0, 4, 4, 1, 1, 1, 2, 2, 3, 3, 0, 1, 0, 3, 1, 3, 0, 1, 0, 0, 2, 0, 4, 0, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 4, 4, 1, 0, 4, 0, 3, 4, 3, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 3, 0, 0, 3, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 1, 2, 0, 3, 4, 1, 3, 4, 4, 1, 0, 3, 0, 2, 2, 4, 4, 3, 4, 2, 4, 0, 4, 4, 0, 1, 3, 1, 3, 1, 0, 0, 3, 4, 2, 4, 1, 1, 1, 4, 3, 4, 2, 2, 4, 1, 2, 0, 3, 1, 0, 2, 4, 4, 1, 1, 2, 0, 1, 0, 0, 2, 2, 3, 3, 0, 2, 4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 1, 4, 3, 3, 2, 2, 4, 0, 4, 4, 2, 1, 2, 1, 1, 1, 4, 3, 0, 3, 0, 1, 0, 4, 2, 3, 2, 0, 4, 3, 0, 3, 4, 1, 0, 1, 0, 0, 4, 4, 3, 4, 4, 1, 2, 4, 4, 4, 1, 1, 4, 0, 4, 1, 4, 1, 1, 3, 0, 2, 2, 2, 3, 2, 1, 0, 4, 3, 1, 3, 0, 4, 0, 3, 4, 3, 2, 3, 0, 3, 2, 4, 4, 0, 4, 3, 0, 2, 4, 2, 1, 2, 0, 1, 3, 2, 0, 2, 1, 1, 4, 0, 0, 2, 1, 1, 0, 4, 0, 4, 3, 3, 1, 4, 4, 3, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 3, 2, 0, 2, 2, 2, 0, 3, 3, 2, 4, 2, 3, 0, 0, 0, 2] pubkeycol1218 = [4, 1, 3, 2, 1, 3, 0, 0, 4, 2, 0, 2, 3, 3, 2, 0, 3, 2, 0, 1, 3, 3, 4, 4, 3, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 3, 2, 1, 1, 2, 2, 4, 2, 0, 3, 3, 3, 3, 2, 1, 2, 3, 1, 1, 1, 3, 1, 2, 2, 4, 1, 1, 4, 4, 2, 4, 0, 4, 0, 0, 0, 2, 3, 0, 1, 4, 3, 0, 3, 1, 1, 2, 3, 4, 2, 1, 1, 3, 1, 3, 3, 3, 2, 1, 0, 1, 2, 0, 4, 2, 2, 2, 1, 2, 0, 2, 2, 1, 3, 1, 4, 0, 4, 2, 0, 3, 2, 1, 1, 3, 2, 4, 4, 4, 2, 2, 2, 4, 0, 0, 3, 4, 4, 4, 2, 4, 3, 4, 2, 4, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 4, 4, 1, 4, 1, 4, 4, 2, 3, 0, 3, 2, 4, 3, 1, 3, 2, 4, 2, 0, 2, 2, 0, 0, 4, 4, 0, 3, 2, 3, 2, 1, 3, 4, 2, 2, 0, 0, 1, 2, 4, 3, 2, 1, 2, 3, 3, 1, 1, 1, 4, 1, 3, 0, 1, 3, 2, 0, 3, 0, 0, 0, 3, 4, 0, 1, 2, 1, 2, 1, 4, 0, 0, 3, 3, 4, 2, 0, 1, 2, 2, 3, 1, 2, 0, 4, 4, 2, 0, 4, 0, 0, 3, 3, 1, 3, 2, 2, 4, 4, 2, 2, 4, 3, 2, 4, 1, 2, 2, 2, 1, 4, 3, 3, 0, 1, 2, 2, 3, 3, 2, 0, 3, 1, 1, 4, 2, 2, 1, 1, 1, 1, 4, 1, 2, 2, 1, 2, 4, 3, 3, 0, 3, 1, 4, 3, 2, 4, 0, 3, 0, 0, 4, 0, 2, 2, 1, 2, 0, 1, 0, 3, 4, 4, 2, 0, 0, 4, 4, 0, 3, 3, 3, 1, 4, 1, 3, 0, 3, 3, 0, 4, 4, 0, 1, 1, 4, 3, 0, 1, 2, 4, 2, 4, 3, 1, 3, 3, 2, 2, 4, 2, 0, 1, 1, 1, 4, 3, 1, 2, 4, 3, 1, 2, 3, 0, 1, 4, 4, 2, 1, 4, 3, 4, 2, 0, 0, 3, 3, 2, 1, 3, 2, 2, 4] pubkeycol1219 = [0, 0, 4, 0, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 4, 0, 1, 1, 3, 1, 2, 3, 4, 4, 4, 2, 1, 4, 1, 4, 4, 2, 4, 2, 1, 3, 4, 3, 1, 1, 3, 3, 0, 0, 3, 3, 4, 0, 2, 1, 2, 2, 3, 2, 0, 0, 1, 3, 1, 3, 2, 0, 4, 2, 2, 1, 0, 2, 3, 0, 3, 2, 2, 2, 3, 4, 3, 3, 1, 4, 4, 1, 3, 1, 2, 1, 3, 1, 1, 2, 1, 4, 4, 3, 1, 2, 0, 1, 1, 1, 4, 1, 2, 1, 3, 1, 1, 4, 0, 4, 3, 1, 4, 4, 1, 3, 3, 1, 0, 2, 0, 3, 0, 0, 1, 4, 3, 3, 3, 3, 0, 0, 0, 1, 3, 0, 3, 4, 1, 0, 0, 0, 4, 1, 0, 4, 1, 3, 0, 3, 2, 2, 2, 3, 1, 1, 0, 2, 1, 1, 3, 0, 3, 1, 1, 2, 0, 1, 4, 4, 2, 1, 3, 4, 3, 4, 1, 3, 3, 1, 1, 1, 2, 1, 3, 4, 4, 2, 1, 3, 3, 3, 3, 1, 0, 0, 0, 3, 2, 3, 2, 4, 1, 0, 3, 0, 0, 3, 1, 3, 4, 2, 3, 4, 2, 2, 2, 4, 3, 4, 1, 2, 1, 2, 1, 4, 1, 1, 1, 4, 4, 2, 0, 4, 3, 3, 4, 1, 2, 2, 0, 0, 2, 4, 2, 3, 1, 0, 4, 1, 0, 1, 4, 4, 2, 3, 3, 0, 4, 4, 2, 2, 2, 1, 4, 4, 0, 3, 3, 2, 4, 4, 2, 4, 4, 1, 1, 2, 1, 1, 3, 0, 3, 1, 3, 2, 2, 3, 3, 4, 2, 3, 1, 1, 1, 0, 3, 0, 4, 1, 0, 3, 4, 2, 3, 3, 3, 4, 0, 2, 4, 0, 4, 3, 3, 2, 0, 2, 2, 4, 3, 4, 3, 2, 4, 2, 3, 2, 1, 2, 0, 2, 3, 3, 1, 1, 4, 0, 2, 4, 0, 2, 4, 4, 0, 2, 0, 3, 1, 2, 1, 2, 1, 1, 0, 1, 0, 3, 4, 3, 0, 1, 4, 0, 3, 2, 4, 3, 3, 0, 3, 4, 0, 4, 0, 2, 4, 3, 3, 2, 0, 0, 3, 2, 1, 4, 3, 4, 4, 3, 4, 0, 2, 1, 3, 2, 3, 0, 4] pubkeycol1220 = [1, 0, 4, 2, 0, 3, 0, 3, 3, 2, 0, 1, 2, 1, 4, 0, 3, 3, 1, 0, 0, 1, 0, 3, 0, 4, 0, 4, 1, 4, 2, 4, 0, 0, 2, 0, 3, 3, 4, 2, 4, 3, 0, 2, 0, 0, 0, 0, 0, 1, 3, 2, 4, 2, 3, 4, 1, 4, 4, 0, 2, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 4, 3, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 3, 0, 1, 2, 3, 3, 1, 0, 2, 2, 4, 3, 2, 1, 4, 0, 2, 1, 2, 1, 0, 1, 1, 0, 3, 2, 3, 2, 4, 1, 4, 0, 1, 2, 1, 0, 4, 1, 4, 4, 4, 0, 0, 3, 1, 3, 0, 4, 2, 1, 0, 4, 0, 2, 2, 1, 4, 1, 0, 1, 3, 3, 1, 1, 1, 3, 4, 1, 3, 2, 4, 2, 4, 2, 4, 2, 2, 1, 2, 4, 0, 2, 3, 0, 2, 1, 2, 0, 1, 4, 0, 4, 1, 1, 3, 2, 0, 0, 3, 0, 4, 0, 1, 0, 1, 4, 2, 1, 1, 0, 4, 0, 2, 0, 1, 0, 0, 1, 2, 4, 2, 4, 3, 0, 1, 3, 0, 1, 1, 3, 1, 2, 3, 3, 0, 3, 2, 1, 0, 3, 1, 0, 4, 2, 1, 4, 0, 0, 4, 4, 2, 4, 3, 1, 1, 1, 0, 1, 3, 4, 3, 3, 3, 3, 2, 0, 2, 0, 0, 2, 1, 4, 1, 1, 4, 3, 1, 3, 0, 1, 1, 0, 1, 0, 3, 3, 3, 2, 4, 1, 0, 1, 4, 1, 3, 4, 4, 1, 3, 0, 0, 1, 4, 1, 1, 4, 0, 0, 1, 4, 1, 0, 1, 4, 0, 3, 3, 0, 1, 3, 4, 3, 4, 4, 2, 1, 4, 1, 3, 0, 3, 4, 4, 3, 4, 3, 2, 2, 3, 2, 2, 0, 0, 1, 4, 2, 0, 0, 3, 2, 4, 2, 2, 0, 1, 0, 2, 4, 1, 2, 2, 2, 0, 4, 1, 0, 2, 0, 0, 4, 0, 2, 0, 4, 0, 4, 3, 3, 0, 3, 0, 1, 4, 1, 0, 2, 1, 2, 3, 0, 3, 4, 4, 0, 1, 1, 4, 3, 2, 0, 2, 3, 1, 0, 3, 1, 3, 2, 0, 0, 0, 3, 3, 4] pubkeycol1221 = [1, 0, 4, 1, 0, 1, 1, 4, 4, 3, 3, 3, 2, 0, 3, 2, 2, 3, 0, 4, 3, 4, 4, 3, 2, 1, 3, 4, 1, 4, 0, 1, 1, 4, 1, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 4, 4, 3, 4, 1, 2, 3, 2, 1, 4, 4, 3, 1, 4, 0, 4, 1, 0, 3, 2, 4, 0, 1, 0, 3, 4, 2, 0, 0, 3, 1, 2, 0, 1, 4, 2, 4, 3, 4, 4, 4, 1, 0, 3, 2, 3, 1, 0, 3, 0, 1, 4, 2, 4, 4, 0, 2, 2, 4, 0, 2, 4, 0, 0, 2, 4, 4, 1, 3, 2, 1, 1, 1, 4, 0, 3, 0, 0, 3, 2, 2, 4, 3, 2, 2, 2, 3, 0, 4, 0, 3, 3, 0, 4, 4, 2, 2, 2, 2, 0, 4, 0, 4, 2, 1, 3, 1, 3, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 3, 0, 2, 0, 4, 4, 4, 4, 1, 3, 1, 2, 2, 4, 4, 3, 0, 1, 0, 0, 0, 1, 2, 3, 1, 2, 1, 1, 4, 1, 0, 3, 0, 0, 3, 2, 2, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 2, 4, 2, 1, 3, 4, 1, 1, 0, 2, 2, 2, 1, 2, 1, 4, 4, 2, 4, 4, 2, 1, 4, 0, 3, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 0, 2, 4, 0, 3, 4, 2, 4, 0, 4, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 3, 0, 3, 0, 0, 4, 0, 1, 0, 1, 0, 4, 3, 2, 3, 0, 3, 4, 1, 4, 1, 4, 0, 2, 3, 0, 1, 0, 3, 2, 0, 1, 1, 4, 4, 3, 4, 1, 4, 2, 2, 0, 2, 0, 0, 0, 3, 1, 3, 0, 2, 0, 3, 4, 4, 0, 2, 3, 1, 3, 2, 3, 4, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 4, 0, 1, 2, 0, 0, 1, 4, 4, 3, 2, 3, 4, 1, 2, 4, 0, 1, 4, 0, 2, 0, 1, 3, 1, 4, 1, 4, 3, 3, 0, 2, 3, 4, 4, 1, 0, 2, 4, 4, 4, 4, 4, 4, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 2, 3, 4, 4, 1, 2, 0] pubkeycol1222 = [0, 0, 3, 0, 2, 3, 0, 1, 4, 3, 3, 0, 2, 4, 2, 1, 4, 2, 4, 0, 3, 3, 4, 2, 2, 0, 4, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 3, 0, 0, 2, 3, 2, 4, 0, 3, 2, 0, 1, 3, 2, 3, 3, 1, 0, 4, 0, 3, 0, 0, 0, 2, 2, 0, 0, 2, 4, 3, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 1, 4, 1, 0, 4, 4, 1, 4, 4, 3, 4, 4, 3, 3, 1, 4, 1, 0, 4, 3, 4, 4, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 3, 4, 1, 3, 1, 2, 3, 1, 1, 3, 3, 1, 3, 1, 0, 3, 4, 1, 4, 1, 2, 4, 0, 1, 1, 3, 2, 1, 0, 2, 2, 3, 2, 0, 3, 2, 4, 0, 4, 1, 1, 4, 2, 3, 3, 4, 4, 0, 4, 3, 0, 4, 3, 0, 2, 1, 3, 0, 4, 4, 1, 1, 4, 0, 2, 2, 3, 1, 1, 2, 4, 4, 3, 1, 4, 2, 1, 4, 4, 1, 2, 1, 4, 4, 2, 0, 3, 2, 2, 4, 1, 1, 3, 4, 0, 3, 2, 1, 2, 4, 0, 4, 3, 2, 3, 4, 2, 1, 1, 0, 2, 3, 3, 2, 2, 4, 3, 0, 0, 4, 0, 4, 0, 0, 3, 2, 2, 2, 3, 1, 2, 1, 2, 4, 2, 3, 2, 1, 3, 4, 0, 0, 2, 4, 1, 3, 2, 3, 3, 2, 0, 3, 0, 3, 2, 4, 2, 0, 0, 3, 2, 1, 2, 3, 1, 0, 4, 2, 0, 0, 2, 1, 4, 4, 3, 2, 1, 3, 4, 1, 3, 3, 0, 4, 4, 1, 3, 0, 0, 3, 3, 0, 0, 2, 3, 4, 3, 3, 1, 3, 0, 1, 3, 3, 3, 0, 0, 4, 1, 0, 1, 0, 1, 2, 4, 0, 0, 2, 3, 2, 2, 4, 0, 2, 0, 2, 0, 3, 2, 4, 4, 2, 0, 4, 0, 4, 3, 4, 3, 1, 3, 2, 2, 0, 3, 2, 1, 4, 3, 3, 2, 3, 2, 4, 4, 3, 0, 1, 0, 0, 4, 3, 4, 2, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 0, 3, 4, 3, 4, 2, 2, 3, 3, 3, 1, 4] pubkeycol1223 = [2, 3, 1, 3, 4, 3, 1, 0, 1, 4, 2, 1, 4, 3, 4, 1, 1, 0, 2, 2, 2, 1, 4, 3, 3, 1, 2, 0, 4, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 3, 2, 3, 0, 1, 4, 4, 4, 4, 2, 3, 3, 0, 4, 1, 3, 3, 1, 0, 4, 3, 4, 4, 2, 1, 3, 2, 4, 0, 1, 4, 3, 4, 4, 4, 2, 2, 2, 2, 1, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 0, 0, 0, 2, 4, 3, 4, 2, 2, 1, 4, 2, 4, 0, 3, 3, 2, 3, 1, 2, 2, 4, 2, 3, 3, 1, 3, 1, 2, 0, 1, 2, 2, 1, 3, 3, 3, 1, 4, 1, 2, 2, 4, 0, 1, 4, 2, 2, 2, 0, 1, 0, 3, 1, 1, 2, 0, 1, 2, 2, 1, 3, 0, 2, 4, 0, 2, 0, 4, 4, 2, 3, 2, 1, 4, 1, 1, 0, 1, 0, 2, 1, 3, 4, 3, 1, 1, 3, 1, 0, 2, 2, 2, 0, 4, 0, 2, 3, 3, 2, 1, 3, 3, 2, 3, 2, 4, 0, 3, 3, 2, 4, 4, 1, 1, 1, 4, 3, 2, 3, 2, 3, 4, 1, 3, 1, 0, 2, 3, 0, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 4, 1, 2, 3, 0, 2, 1, 2, 2, 3, 4, 0, 2, 0, 3, 4, 0, 1, 2, 3, 4, 2, 3, 4, 3, 4, 4, 4, 3, 2, 1, 0, 3, 2, 3, 1, 2, 1, 1, 3, 4, 2, 3, 2, 1, 3, 4, 3, 0, 2, 0, 0, 1, 0, 0, 4, 1, 0, 3, 2, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 2, 1, 3, 2, 4, 2, 2, 3, 4, 1, 1, 3, 4, 1, 0, 1, 2, 4, 3, 4, 0, 2, 4, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 3, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 4, 3, 0, 2, 4, 4, 1, 2, 4, 3, 4, 4, 4, 1, 0, 4, 4, 1, 0, 4, 4, 0, 2, 4, 4, 2, 0, 1, 1, 4, 4, 4, 3, 0, 4, 1, 4, 1, 1, 4, 0, 2, 1, 3, 1, 1, 0, 4, 0, 0] pubkeycol1224 = [2, 1, 3, 1, 0, 0, 1, 4, 4, 3, 2, 4, 4, 1, 1, 0, 3, 4, 2, 1, 1, 0, 2, 0, 1, 0, 3, 1, 3, 3, 1, 3, 0, 4, 2, 3, 2, 4, 1, 3, 1, 3, 2, 2, 2, 3, 4, 2, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 1, 3, 1, 0, 0, 2, 2, 0, 1, 1, 1, 4, 1, 0, 2, 4, 4, 2, 4, 2, 3, 3, 0, 0, 0, 4, 2, 4, 0, 2, 2, 1, 2, 1, 4, 1, 0, 2, 4, 0, 4, 3, 4, 1, 1, 2, 4, 0, 3, 1, 4, 1, 1, 0, 1, 2, 4, 0, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 0, 3, 4, 3, 1, 1, 4, 0, 0, 4, 1, 1, 3, 4, 4, 2, 2, 0, 1, 3, 4, 0, 4, 4, 1, 2, 4, 0, 4, 1, 2, 3, 1, 1, 2, 0, 3, 0, 3, 1, 0, 0, 4, 4, 2, 3, 0, 3, 1, 0, 3, 3, 0, 2, 3, 4, 1, 4, 2, 4, 4, 3, 0, 4, 1, 4, 4, 4, 2, 2, 4, 4, 4, 1, 1, 1, 4, 1, 1, 2, 0, 0, 1, 4, 1, 2, 4, 0, 2, 0, 2, 4, 2, 4, 3, 1, 3, 0, 1, 2, 0, 2, 1, 3, 2, 2, 1, 3, 0, 2, 4, 3, 1, 0, 0, 2, 0, 2, 3, 2, 0, 2, 1, 0, 4, 2, 4, 1, 4, 4, 2, 3, 1, 2, 1, 1, 1, 1, 4, 3, 0, 4, 1, 2, 3, 3, 4, 2, 0, 2, 2, 1, 3, 1, 0, 3, 4, 2, 3, 0, 4, 2, 4, 1, 2, 3, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 0, 1, 4, 1, 1, 0, 1, 0, 3, 3, 3, 3, 2, 0, 1, 4, 1, 1, 3, 0, 0, 3, 1, 3, 4, 0, 3, 3, 3, 3, 4, 3, 2, 3, 1, 2, 0, 0, 0, 4, 2, 1, 1, 2, 3, 1, 3, 1, 3, 0, 1, 2, 4, 2, 0, 2, 3, 4, 3, 0, 0, 0, 2, 4, 2, 3, 4, 0, 1, 2, 4, 3, 3, 3, 0, 3, 3, 4, 0, 4, 4, 1, 3, 2, 3, 1, 1, 4, 1, 3, 1, 0, 4, 3] pubkeycol1225 = [2, 1, 3, 3, 4, 4, 4, 2, 4, 0, 2, 3, 1, 1, 3, 4, 1, 4, 2, 4, 2, 1, 0, 0, 3, 0, 2, 4, 0, 2, 2, 1, 1, 3, 3, 3, 0, 1, 4, 4, 4, 0, 3, 0, 4, 3, 2, 4, 1, 1, 4, 1, 2, 2, 0, 4, 1, 3, 2, 1, 4, 1, 1, 2, 1, 2, 1, 1, 4, 1, 4, 0, 1, 4, 1, 4, 2, 0, 2, 3, 4, 0, 0, 0, 4, 3, 4, 4, 1, 4, 2, 0, 2, 3, 4, 0, 3, 4, 2, 2, 0, 1, 0, 3, 4, 0, 0, 2, 1, 4, 0, 1, 4, 0, 4, 2, 2, 4, 1, 1, 2, 0, 3, 1, 0, 0, 3, 2, 2, 1, 1, 4, 3, 2, 4, 0, 3, 4, 2, 2, 0, 1, 2, 0, 0, 3, 3, 0, 2, 2, 1, 2, 1, 0, 2, 4, 2, 4, 2, 4, 4, 1, 3, 1, 0, 4, 0, 2, 2, 1, 2, 4, 4, 1, 4, 0, 2, 4, 3, 0, 0, 2, 2, 3, 4, 2, 1, 4, 2, 4, 0, 3, 2, 4, 1, 1, 2, 2, 4, 1, 2, 0, 1, 4, 0, 1, 2, 3, 1, 1, 1, 0, 1, 4, 2, 2, 3, 0, 1, 0, 3, 2, 2, 0, 4, 0, 2, 4, 1, 4, 0, 0, 0, 3, 4, 0, 1, 4, 2, 3, 4, 1, 1, 4, 4, 0, 1, 4, 2, 3, 3, 3, 2, 0, 4, 2, 3, 2, 0, 1, 2, 1, 2, 1, 3, 2, 2, 4, 2, 4, 4, 0, 0, 3, 2, 1, 0, 2, 1, 0, 3, 2, 2, 2, 3, 4, 3, 1, 4, 3, 0, 2, 1, 3, 0, 2, 2, 2, 4, 0, 2, 1, 1, 3, 4, 0, 0, 0, 1, 0, 3, 2, 4, 3, 0, 0, 1, 0, 2, 0, 4, 2, 3, 4, 4, 2, 0, 1, 1, 2, 1, 2, 4, 4, 0, 4, 0, 0, 2, 0, 4, 4, 4, 0, 3, 1, 4, 4, 3, 3, 3, 1, 1, 3, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 0, 3, 1, 4, 4, 2, 1, 0, 2, 1, 3, 3, 4, 2, 1, 2, 3, 3, 1, 2, 0, 1, 3, 3, 3, 1, 3, 4, 3, 4, 1, 2, 1] pubkeycol1226 = [1, 4, 4, 1, 4, 2, 4, 4, 3, 2, 0, 2, 3, 1, 2, 2, 2, 3, 2, 2, 2, 0, 3, 4, 3, 0, 1, 2, 0, 4, 2, 0, 2, 1, 1, 4, 3, 0, 3, 0, 0, 3, 4, 1, 1, 0, 1, 1, 0, 2, 0, 4, 1, 3, 0, 1, 3, 2, 0, 1, 2, 4, 0, 1, 2, 2, 4, 2, 1, 2, 3, 0, 2, 4, 3, 4, 4, 1, 2, 1, 3, 4, 2, 2, 3, 0, 2, 1, 2, 3, 2, 1, 3, 4, 0, 4, 2, 0, 2, 3, 2, 1, 3, 4, 0, 0, 4, 0, 0, 3, 1, 3, 1, 3, 4, 1, 1, 0, 3, 4, 0, 4, 1, 3, 4, 0, 2, 1, 1, 4, 4, 2, 4, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 3, 4, 4, 1, 4, 4, 0, 1, 1, 1, 3, 1, 4, 1, 0, 2, 3, 3, 0, 0, 1, 4, 2, 3, 3, 2, 1, 0, 2, 0, 1, 2, 4, 3, 0, 4, 3, 2, 1, 4, 3, 1, 4, 1, 0, 4, 0, 3, 0, 2, 3, 2, 3, 0, 1, 0, 3, 4, 0, 1, 1, 2, 2, 1, 0, 3, 1, 1, 0, 1, 3, 1, 1, 0, 0, 1, 2, 0, 0, 2, 3, 3, 3, 2, 3, 4, 2, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 3, 1, 4, 2, 3, 4, 3, 0, 0, 1, 1, 4, 0, 1, 1, 2, 4, 1, 3, 3, 0, 0, 2, 1, 3, 2, 2, 0, 4, 2, 0, 4, 3, 0, 4, 2, 4, 0, 4, 2, 2, 1, 4, 0, 2, 1, 2, 4, 2, 4, 4, 1, 2, 0, 1, 4, 4, 3, 0, 2, 4, 0, 0, 1, 2, 2, 0, 3, 2, 2, 3, 0, 3, 3, 0, 2, 4, 2, 2, 3, 2, 1, 0, 1, 0, 3, 0, 4, 3, 2, 3, 3, 3, 3, 4, 3, 1, 3, 4, 0, 3, 2, 2, 4, 4, 1, 1, 0, 2, 4, 1, 1, 2, 1, 4, 0, 0, 2, 0, 4, 3, 0, 2, 3, 2, 1, 1, 4, 2, 0, 2, 2, 1, 0, 3, 2, 3, 2, 1, 3, 1, 1, 3, 1, 4, 1, 1, 0, 2, 4, 4, 0, 4, 1, 1, 2, 0, 4, 3] pubkeycol1227 = [3, 1, 0, 3, 4, 3, 1, 0, 4, 4, 2, 2, 1, 0, 0, 0, 2, 4, 0, 3, 3, 1, 2, 0, 3, 0, 4, 3, 1, 1, 4, 1, 0, 3, 0, 3, 0, 0, 1, 3, 1, 2, 3, 1, 0, 1, 4, 2, 0, 1, 4, 0, 4, 4, 2, 4, 1, 3, 3, 1, 1, 2, 2, 0, 3, 1, 3, 0, 0, 3, 4, 2, 2, 0, 4, 0, 0, 1, 0, 1, 1, 4, 2, 0, 4, 4, 1, 1, 2, 0, 0, 3, 1, 1, 4, 2, 3, 4, 4, 2, 2, 0, 1, 0, 1, 0, 3, 3, 2, 1, 0, 4, 0, 1, 3, 3, 2, 4, 2, 4, 1, 2, 3, 4, 0, 2, 2, 0, 1, 4, 0, 0, 2, 0, 0, 1, 1, 3, 1, 4, 2, 0, 3, 1, 4, 1, 1, 1, 2, 4, 4, 1, 0, 0, 4, 4, 2, 0, 3, 4, 3, 1, 0, 1, 1, 4, 3, 1, 4, 2, 1, 3, 3, 4, 0, 4, 3, 1, 4, 4, 2, 4, 0, 3, 2, 1, 4, 0, 1, 4, 0, 1, 0, 0, 0, 3, 4, 2, 1, 3, 1, 1, 4, 0, 4, 0, 3, 3, 3, 4, 4, 1, 3, 4, 0, 4, 1, 1, 1, 0, 2, 4, 0, 2, 1, 0, 3, 3, 0, 3, 4, 3, 0, 2, 1, 4, 1, 0, 1, 3, 1, 3, 1, 1, 2, 1, 4, 3, 4, 1, 4, 1, 4, 4, 4, 1, 3, 4, 2, 0, 4, 1, 3, 2, 2, 4, 3, 4, 0, 2, 1, 1, 1, 3, 2, 0, 4, 0, 4, 1, 2, 3, 2, 1, 2, 0, 0, 0, 3, 2, 4, 4, 2, 0, 0, 0, 3, 4, 0, 2, 3, 1, 4, 3, 2, 1, 2, 2, 4, 3, 1, 0, 1, 3, 3, 1, 2, 3, 3, 2, 0, 4, 1, 2, 1, 3, 2, 0, 3, 2, 1, 1, 2, 0, 0, 1, 0, 0, 4, 2, 1, 4, 2, 2, 1, 3, 1, 1, 3, 3, 1, 2, 0, 3, 0, 1, 3, 3, 3, 4, 3, 3, 4, 0, 1, 4, 0, 0, 1, 2, 1, 3, 3, 4, 2, 4, 3, 4, 0, 3, 2, 3, 1, 2, 1, 2, 0, 2, 2, 1, 0, 3, 3, 0, 3, 1, 1, 4, 2, 2] pubkeycol1228 = [1, 1, 3, 2, 0, 4, 0, 3, 1, 1, 3, 4, 3, 1, 4, 1, 2, 2, 2, 3, 1, 0, 0, 1, 1, 2, 2, 4, 4, 2, 0, 4, 1, 3, 0, 4, 2, 0, 2, 0, 1, 3, 1, 2, 0, 1, 0, 1, 4, 4, 0, 1, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 0, 3, 1, 1, 0, 4, 3, 0, 3, 1, 1, 1, 1, 1, 2, 1, 4, 4, 4, 1, 3, 1, 2, 3, 4, 2, 4, 2, 3, 4, 4, 2, 0, 4, 3, 0, 4, 1, 1, 0, 0, 4, 4, 1, 3, 3, 0, 2, 4, 3, 0, 4, 0, 3, 0, 2, 1, 3, 3, 4, 4, 3, 4, 2, 4, 3, 3, 4, 2, 0, 1, 2, 1, 4, 1, 0, 1, 1, 3, 2, 3, 4, 4, 1, 4, 3, 4, 3, 2, 1, 0, 3, 4, 1, 4, 4, 4, 4, 0, 2, 4, 0, 2, 3, 1, 1, 3, 3, 3, 2, 1, 3, 0, 3, 3, 1, 1, 3, 0, 1, 3, 2, 0, 1, 3, 2, 4, 3, 0, 2, 3, 1, 1, 0, 0, 0, 3, 1, 1, 2, 0, 4, 0, 4, 1, 1, 2, 3, 4, 2, 3, 1, 1, 3, 1, 0, 1, 1, 3, 0, 1, 0, 4, 0, 3, 0, 0, 1, 4, 0, 1, 1, 4, 2, 1, 3, 1, 2, 0, 2, 4, 1, 2, 2, 3, 2, 3, 2, 3, 4, 1, 0, 4, 0, 4, 0, 1, 0, 3, 3, 0, 3, 0, 0, 0, 4, 1, 2, 4, 2, 2, 1, 0, 3, 1, 2, 2, 0, 3, 0, 2, 0, 1, 1, 2, 3, 1, 3, 4, 4, 0, 4, 3, 4, 3, 4, 2, 3, 4, 0, 1, 3, 3, 3, 1, 3, 2, 3, 4, 1, 3, 1, 3, 0, 3, 0, 0, 4, 4, 2, 4, 4, 4, 2, 1, 1, 4, 3, 3, 0, 4, 3, 4, 3, 2, 4, 2, 3, 4, 2, 4, 1, 2, 2, 3, 2, 1, 4, 4, 2, 4, 3, 3, 2, 3, 4, 0, 4, 1, 0, 3, 2, 2, 0, 0, 3, 3, 4, 3, 4, 2, 0, 1, 4, 0, 3, 0, 1, 3, 1, 4, 2, 1, 2, 3, 3, 0, 2, 1, 1, 2, 0, 4, 0, 2, 0, 4, 2] pubkeycol1229 = [0, 3, 3, 4, 4, 3, 4, 0, 3, 2, 1, 4, 4, 4, 2, 0, 2, 0, 2, 0, 3, 4, 1, 2, 2, 1, 0, 3, 3, 0, 3, 2, 1, 4, 1, 4, 0, 4, 3, 0, 0, 4, 0, 3, 0, 4, 1, 3, 3, 2, 4, 4, 2, 0, 3, 3, 0, 3, 3, 3, 0, 1, 2, 3, 3, 4, 0, 0, 2, 1, 3, 4, 3, 2, 1, 1, 2, 2, 0, 1, 2, 3, 1, 2, 4, 1, 3, 0, 0, 0, 4, 3, 2, 0, 1, 3, 3, 4, 4, 2, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 0, 4, 2, 1, 3, 2, 1, 3, 2, 3, 0, 4, 1, 2, 1, 4, 3, 1, 0, 1, 1, 2, 2, 4, 4, 1, 1, 4, 4, 1, 3, 4, 3, 0, 0, 0, 1, 3, 4, 1, 4, 2, 3, 2, 2, 1, 1, 0, 3, 2, 2, 3, 1, 0, 1, 3, 1, 3, 4, 2, 2, 4, 2, 0, 0, 1, 1, 4, 2, 0, 1, 0, 3, 3, 0, 0, 1, 1, 4, 4, 0, 4, 2, 2, 3, 0, 2, 3, 4, 0, 0, 1, 0, 3, 3, 0, 4, 2, 2, 0, 1, 4, 2, 4, 2, 3, 4, 1, 4, 3, 3, 2, 3, 3, 0, 1, 1, 1, 2, 0, 2, 3, 4, 4, 2, 4, 0, 4, 1, 3, 2, 4, 2, 3, 4, 3, 1, 0, 0, 2, 3, 0, 3, 2, 4, 3, 4, 0, 1, 0, 4, 1, 3, 2, 0, 1, 0, 3, 1, 0, 2, 3, 1, 1, 0, 1, 0, 4, 1, 0, 1, 4, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 1, 2, 3, 2, 1, 4, 3, 3, 4, 4, 0, 0, 1, 2, 1, 0, 1, 1, 4, 1, 2, 0, 3, 2, 2, 4, 4, 4, 2, 4, 0, 2, 4, 3, 1, 1, 3, 2, 0, 1, 1, 2, 3, 3, 2, 0, 3, 2, 1, 1, 3, 4, 1, 2, 3, 2, 4, 2, 0, 4, 3, 2, 0, 2, 0, 2, 4, 2, 4, 0, 0, 1, 1, 2, 4, 2, 3, 1, 3, 3, 4, 3, 2, 2, 2, 0, 1, 3, 3, 3, 3, 1, 3, 1, 2, 1, 4, 2, 4, 0, 2] pubkeycol1230 = [3, 4, 4, 4, 4, 2, 1, 3, 1, 1, 3, 1, 0, 1, 3, 1, 1, 2, 2, 3, 2, 1, 1, 1, 4, 2, 0, 1, 0, 2, 2, 3, 3, 2, 2, 0, 1, 1, 1, 2, 4, 2, 1, 0, 2, 2, 0, 1, 3, 4, 4, 0, 0, 1, 4, 0, 4, 2, 0, 0, 0, 2, 2, 4, 2, 2, 3, 1, 4, 0, 2, 2, 1, 3, 0, 0, 1, 1, 3, 4, 1, 3, 0, 3, 4, 2, 4, 4, 2, 1, 4, 4, 3, 2, 3, 1, 3, 3, 4, 4, 3, 1, 4, 0, 4, 3, 1, 3, 2, 3, 0, 0, 3, 2, 0, 2, 1, 4, 1, 3, 2, 4, 3, 3, 4, 4, 2, 2, 2, 0, 3, 0, 1, 4, 0, 4, 4, 2, 3, 0, 2, 0, 2, 2, 0, 4, 4, 4, 0, 1, 1, 0, 2, 4, 0, 4, 0, 4, 1, 1, 2, 2, 2, 3, 0, 0, 2, 3, 3, 4, 2, 1, 1, 1, 0, 3, 2, 0, 4, 4, 1, 0, 4, 0, 0, 4, 2, 2, 4, 2, 1, 1, 3, 1, 3, 2, 0, 0, 0, 3, 4, 2, 1, 3, 3, 4, 1, 4, 2, 0, 3, 3, 3, 1, 1, 3, 3, 1, 3, 4, 4, 2, 2, 2, 0, 3, 4, 1, 2, 0, 0, 4, 3, 3, 3, 3, 0, 4, 3, 3, 3, 3, 1, 4, 2, 1, 0, 4, 4, 4, 0, 4, 2, 3, 1, 0, 2, 3, 1, 1, 1, 4, 2, 4, 3, 2, 2, 2, 2, 4, 4, 0, 3, 4, 0, 0, 3, 3, 4, 0, 1, 3, 1, 0, 3, 3, 1, 3, 4, 1, 3, 3, 2, 3, 4, 2, 0, 1, 0, 3, 3, 1, 4, 1, 0, 4, 2, 3, 0, 2, 2, 4, 3, 3, 4, 1, 1, 2, 4, 2, 2, 3, 3, 4, 0, 4, 3, 3, 3, 4, 1, 4, 4, 1, 2, 2, 1, 0, 3, 2, 1, 4, 4, 2, 1, 2, 4, 0, 2, 1, 1, 1, 4, 2, 3, 2, 2, 0, 1, 4, 2, 4, 3, 1, 1, 0, 0, 2, 2, 0, 3, 0, 1, 1, 2, 3, 4, 1, 4, 4, 4, 0, 0, 3, 3, 0, 1, 4, 0, 2, 3, 3, 4, 4, 1, 0, 4, 0, 4, 2] pubkeycol1231 = [1, 0, 0, 3, 3, 1, 3, 1, 0, 1, 0, 1, 1, 2, 2, 4, 3, 0, 4, 0, 2, 1, 2, 4, 3, 3, 1, 0, 4, 0, 2, 4, 3, 0, 3, 0, 3, 4, 2, 3, 1, 0, 1, 3, 0, 2, 4, 1, 4, 2, 4, 0, 2, 3, 3, 4, 4, 0, 2, 3, 4, 2, 4, 4, 2, 1, 2, 0, 1, 2, 3, 4, 3, 4, 2, 3, 4, 2, 1, 0, 2, 1, 1, 3, 1, 2, 0, 3, 0, 3, 3, 0, 4, 4, 1, 4, 0, 2, 4, 3, 1, 1, 4, 0, 2, 0, 2, 4, 1, 4, 2, 1, 3, 3, 3, 0, 0, 2, 0, 4, 0, 4, 1, 1, 4, 3, 3, 3, 1, 1, 4, 1, 1, 2, 4, 0, 3, 0, 1, 3, 3, 0, 3, 3, 1, 2, 0, 2, 2, 3, 4, 3, 2, 4, 0, 2, 0, 3, 0, 3, 3, 2, 4, 2, 3, 4, 4, 0, 4, 4, 1, 1, 0, 2, 1, 1, 4, 2, 1, 2, 3, 4, 0, 4, 3, 1, 4, 3, 4, 0, 2, 3, 2, 3, 3, 2, 4, 3, 1, 3, 2, 4, 1, 1, 3, 3, 0, 0, 1, 4, 1, 3, 4, 1, 3, 0, 0, 3, 2, 0, 1, 3, 0, 1, 3, 3, 2, 2, 4, 4, 1, 3, 1, 0, 3, 2, 4, 3, 2, 4, 4, 0, 2, 0, 3, 3, 0, 1, 2, 0, 2, 1, 3, 0, 1, 4, 1, 0, 4, 1, 1, 3, 2, 3, 0, 3, 0, 2, 4, 1, 2, 3, 2, 2, 4, 4, 4, 2, 0, 3, 3, 2, 4, 0, 3, 0, 1, 4, 2, 0, 0, 0, 2, 1, 0, 1, 2, 4, 1, 0, 1, 3, 3, 2, 3, 0, 1, 0, 2, 2, 0, 2, 0, 4, 3, 1, 2, 2, 1, 0, 0, 4, 0, 4, 3, 4, 4, 4, 3, 4, 2, 0, 2, 2, 4, 4, 4, 0, 4, 2, 3, 4, 2, 1, 1, 4, 4, 0, 3, 0, 4, 2, 0, 0, 4, 0, 1, 3, 0, 1, 0, 1, 3, 3, 1, 2, 2, 3, 2, 0, 3, 2, 1, 1, 3, 4, 2, 4, 0, 4, 3, 0, 4, 1, 3, 2, 2, 4, 4, 4, 4, 1, 0, 2, 2, 3, 4, 1, 2, 1] pubkeycol1232 = [2, 0, 2, 1, 1, 4, 1, 3, 2, 3, 4, 2, 4, 2, 1, 2, 3, 2, 1, 2, 4, 0, 0, 2, 2, 3, 2, 0, 0, 4, 2, 2, 4, 4, 1, 4, 0, 4, 2, 0, 3, 4, 1, 4, 2, 1, 3, 2, 2, 2, 4, 1, 2, 1, 0, 1, 1, 4, 3, 0, 1, 0, 4, 4, 1, 1, 0, 0, 1, 3, 3, 1, 4, 2, 1, 2, 2, 3, 4, 1, 3, 4, 4, 1, 4, 1, 4, 4, 1, 3, 4, 3, 1, 1, 4, 3, 3, 4, 0, 3, 3, 3, 3, 2, 0, 2, 1, 3, 1, 4, 1, 3, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 3, 0, 0, 3, 3, 1, 2, 0, 2, 0, 2, 4, 3, 4, 0, 2, 4, 0, 4, 1, 4, 4, 2, 2, 0, 1, 2, 3, 1, 1, 1, 2, 0, 4, 3, 3, 0, 0, 3, 2, 4, 0, 3, 0, 1, 2, 1, 2, 3, 3, 4, 0, 4, 2, 3, 4, 3, 2, 2, 4, 1, 4, 4, 0, 3, 0, 4, 4, 3, 1, 2, 2, 4, 1, 2, 4, 0, 0, 0, 0, 3, 1, 3, 0, 4, 1, 4, 0, 4, 4, 0, 4, 2, 4, 2, 0, 4, 2, 3, 2, 0, 2, 4, 0, 0, 1, 0, 4, 1, 4, 2, 0, 1, 1, 2, 3, 2, 2, 1, 2, 2, 0, 4, 1, 0, 0, 0, 1, 2, 2, 1, 4, 3, 4, 3, 1, 3, 3, 0, 2, 4, 0, 2, 2, 2, 1, 4, 1, 1, 4, 2, 4, 1, 3, 3, 1, 3, 3, 3, 2, 0, 3, 1, 4, 1, 3, 2, 4, 3, 2, 3, 3, 1, 4, 4, 3, 4, 1, 3, 1, 1, 1, 1, 1, 4, 1, 2, 2, 4, 1, 0, 3, 2, 2, 0, 0, 0, 4, 3, 3, 3, 4, 1, 3, 0, 3, 3, 0, 4, 2, 4, 1, 2, 0, 3, 3, 0, 2, 3, 3, 3, 1, 1, 3, 2, 3, 2, 0, 4, 1, 3, 0, 2, 4, 2, 1, 0, 0, 0, 1, 1, 0, 3, 4, 1, 3, 1, 1, 3, 4, 1, 1, 3, 2, 2, 3, 0, 2, 2, 4, 4, 2, 0, 2, 4, 1, 0, 0, 4, 0, 2, 2, 3, 3, 3, 1, 3] pubkeycol1233 = [3, 2, 3, 3, 3, 1, 0, 1, 3, 3, 3, 1, 2, 1, 2, 0, 1, 1, 3, 3, 3, 1, 3, 0, 3, 3, 4, 1, 0, 3, 1, 2, 0, 2, 0, 0, 0, 4, 1, 0, 2, 0, 4, 1, 0, 3, 1, 0, 0, 4, 1, 0, 3, 2, 3, 1, 1, 3, 0, 2, 4, 0, 3, 3, 3, 4, 2, 4, 2, 2, 0, 2, 3, 4, 1, 1, 1, 0, 0, 4, 3, 3, 3, 0, 1, 4, 3, 4, 3, 1, 2, 2, 1, 4, 1, 4, 4, 2, 2, 3, 3, 1, 0, 3, 1, 2, 2, 2, 1, 4, 4, 2, 4, 2, 1, 2, 1, 3, 4, 0, 0, 2, 2, 3, 1, 1, 0, 0, 1, 3, 2, 1, 1, 3, 4, 3, 0, 2, 0, 3, 2, 0, 4, 2, 4, 3, 1, 0, 4, 3, 1, 4, 4, 3, 1, 0, 4, 1, 1, 1, 3, 1, 3, 0, 4, 1, 0, 1, 3, 0, 4, 3, 3, 2, 2, 0, 2, 2, 4, 1, 0, 3, 1, 0, 2, 4, 0, 1, 1, 2, 1, 1, 2, 4, 2, 2, 0, 3, 4, 0, 4, 2, 2, 3, 1, 4, 0, 3, 2, 0, 0, 2, 0, 1, 0, 3, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 3, 0, 3, 0, 0, 3, 4, 0, 3, 0, 3, 0, 4, 1, 1, 3, 0, 4, 0, 3, 4, 4, 0, 3, 4, 1, 0, 1, 2, 3, 4, 0, 2, 2, 1, 1, 0, 1, 0, 4, 2, 0, 4, 3, 1, 3, 3, 0, 3, 2, 0, 4, 4, 4, 0, 0, 1, 4, 3, 4, 0, 2, 2, 0, 1, 1, 2, 3, 0, 3, 3, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 3, 3, 4, 3, 2, 3, 1, 3, 0, 2, 2, 3, 2, 3, 1, 2, 1, 4, 0, 3, 0, 0, 2, 2, 0, 0, 4, 4, 4, 1, 1, 3, 2, 0, 1, 2, 0, 0, 2, 4, 3, 4, 2, 1, 2, 3, 4, 1, 4, 4, 1, 3, 3, 3, 3, 0, 4, 3, 1, 0, 1, 0, 2, 0, 1, 2, 3, 3, 2, 0, 4, 4, 1, 4, 2, 4, 1, 0, 1, 2, 1, 3, 3, 2, 2, 1, 1, 0, 2, 3, 0, 2] pubkeycol1234 = [2, 4, 3, 0, 2, 3, 1, 4, 0, 0, 4, 3, 2, 2, 2, 1, 2, 0, 0, 0, 3, 0, 1, 1, 1, 4, 2, 1, 2, 1, 4, 3, 2, 4, 4, 4, 0, 2, 3, 3, 4, 2, 1, 0, 1, 2, 3, 4, 3, 3, 2, 2, 0, 1, 0, 1, 4, 4, 0, 2, 0, 2, 4, 3, 4, 0, 1, 4, 1, 3, 4, 3, 4, 2, 1, 2, 2, 1, 4, 3, 3, 2, 2, 1, 4, 1, 3, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 2, 2, 2, 3, 1, 2, 4, 1, 3, 4, 2, 1, 3, 1, 4, 4, 0, 4, 1, 0, 1, 1, 3, 2, 1, 2, 4, 1, 2, 2, 1, 3, 4, 0, 4, 4, 0, 0, 3, 1, 0, 0, 1, 0, 2, 0, 4, 4, 0, 2, 2, 3, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 3, 4, 3, 3, 3, 3, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 4, 2, 0, 1, 2, 0, 1, 4, 2, 1, 2, 4, 1, 3, 4, 2, 4, 1, 3, 4, 3, 2, 2, 3, 4, 3, 0, 4, 0, 1, 4, 4, 0, 1, 4, 0, 0, 4, 2, 3, 4, 1, 1, 3, 0, 1, 1, 3, 4, 3, 2, 2, 0, 4, 2, 0, 1, 0, 3, 0, 4, 2, 3, 3, 1, 4, 4, 2, 1, 4, 4, 3, 3, 3, 0, 0, 4, 2, 0, 4, 2, 1, 1, 0, 2, 1, 2, 2, 3, 1, 1, 3, 4, 3, 0, 2, 0, 1, 1, 0, 1, 0, 4, 0, 1, 2, 2, 3, 4, 1, 3, 0, 2, 0, 1, 1, 3, 2, 3, 2, 2, 3, 1, 0, 0, 4, 2, 2, 4, 3, 2, 0, 2, 0, 1, 3, 1, 2, 4, 2, 1, 3, 2, 2, 0, 4, 1, 1, 0, 3, 1, 4, 0, 3, 1, 1, 3, 2, 4, 4, 2, 4, 0, 3, 4, 1, 0, 1, 2, 0, 2, 2, 4, 1, 1, 4, 4, 0, 2, 4, 2, 3, 3, 0, 3, 2, 1, 3, 2, 2, 0, 1, 4, 2, 4, 4, 1, 0, 3, 3, 1, 2, 2, 1, 1, 1, 2, 1, 4, 0, 2, 3, 1, 0, 3, 1, 3, 0, 1, 1, 4, 3, 1, 3] pubkeycol1235 = [2, 4, 2, 4, 0, 2, 2, 1, 2, 0, 3, 2, 2, 0, 0, 0, 4, 4, 1, 0, 4, 2, 1, 4, 2, 2, 4, 3, 4, 2, 4, 0, 4, 0, 1, 3, 0, 0, 4, 3, 2, 1, 3, 0, 3, 3, 2, 0, 2, 0, 1, 3, 3, 3, 3, 3, 0, 3, 1, 2, 3, 4, 1, 0, 2, 3, 0, 1, 0, 0, 4, 4, 1, 2, 0, 3, 0, 3, 4, 0, 2, 4, 3, 1, 3, 4, 3, 4, 2, 3, 1, 3, 3, 2, 0, 4, 4, 0, 0, 3, 4, 3, 0, 2, 3, 0, 1, 4, 3, 4, 3, 1, 0, 4, 2, 0, 0, 3, 3, 4, 4, 1, 1, 1, 4, 1, 3, 3, 3, 1, 1, 4, 2, 0, 3, 1, 4, 4, 2, 1, 3, 4, 1, 1, 2, 4, 0, 4, 1, 4, 2, 0, 0, 3, 4, 0, 1, 3, 0, 2, 1, 1, 0, 4, 0, 4, 3, 2, 4, 4, 4, 3, 0, 1, 4, 1, 2, 0, 3, 1, 1, 1, 2, 2, 4, 4, 0, 4, 1, 3, 0, 4, 1, 1, 4, 2, 3, 3, 2, 0, 1, 4, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4, 1, 1, 1, 0, 4, 1, 3, 4, 3, 4, 2, 0, 3, 4, 1, 4, 2, 0, 3, 3, 0, 1, 3, 0, 4, 2, 2, 4, 0, 4, 0, 1, 3, 4, 0, 3, 0, 4, 4, 4, 0, 1, 1, 1, 3, 1, 0, 0, 3, 1, 2, 0, 2, 2, 3, 4, 3, 1, 1, 2, 0, 2, 3, 0, 4, 1, 2, 1, 0, 4, 1, 3, 3, 2, 1, 1, 4, 2, 2, 3, 1, 2, 4, 4, 2, 4, 3, 3, 3, 1, 3, 2, 1, 2, 0, 2, 4, 3, 2, 3, 2, 3, 4, 4, 2, 0, 1, 3, 1, 1, 2, 2, 3, 0, 1, 1, 1, 2, 1, 3, 0, 0, 3, 3, 3, 4, 2, 0, 3, 3, 3, 2, 4, 3, 2, 3, 0, 3, 0, 0, 4, 1, 0, 2, 4, 4, 0, 3, 4, 4, 3, 4, 1, 0, 3, 3, 2, 2, 4, 0, 4, 3, 3, 4, 1, 1, 1, 0, 4, 2, 2, 4, 2, 0, 3, 4, 2, 2, 0, 4, 3, 1, 4, 1, 1, 1, 0, 1] pubkeycol1236 = [2, 1, 3, 1, 4, 2, 0, 4, 4, 3, 0, 1, 4, 0, 3, 4, 0, 3, 1, 1, 1, 4, 3, 3, 3, 3, 2, 3, 4, 3, 4, 1, 0, 2, 3, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 3, 4, 1, 4, 1, 0, 2, 2, 0, 3, 1, 2, 1, 4, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 1, 4, 3, 3, 0, 4, 0, 4, 3, 4, 4, 4, 0, 3, 0, 1, 1, 3, 0, 4, 2, 4, 0, 4, 0, 1, 3, 2, 1, 0, 4, 4, 4, 2, 4, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 4, 1, 4, 0, 0, 4, 0, 2, 0, 3, 3, 4, 2, 3, 1, 1, 2, 0, 3, 2, 1, 2, 4, 2, 0, 3, 0, 1, 4, 1, 4, 0, 0, 4, 4, 3, 3, 1, 3, 1, 2, 3, 0, 2, 0, 3, 3, 0, 1, 0, 2, 4, 4, 4, 0, 0, 0, 0, 4, 3, 2, 2, 4, 4, 2, 2, 3, 2, 0, 3, 2, 4, 1, 2, 2, 0, 4, 2, 3, 0, 3, 2, 1, 4, 4, 2, 3, 2, 3, 3, 0, 0, 0, 0, 1, 3, 4, 1, 4, 0, 1, 2, 1, 1, 4, 2, 2, 3, 2, 1, 2, 3, 3, 2, 3, 0, 2, 2, 2, 1, 3, 0, 3, 3, 3, 0, 2, 0, 1, 2, 3, 4, 2, 0, 0, 0, 3, 2, 4, 1, 1, 4, 1, 1, 1, 2, 4, 1, 1, 3, 0, 4, 2, 2, 0, 4, 0, 3, 4, 4, 0, 1, 1, 4, 4, 1, 1, 1, 1, 4, 3, 3, 1, 0, 4, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 0, 0, 1, 1, 3, 2, 4, 4, 4, 0, 3, 0, 1, 0, 0, 2, 1, 2, 3, 0, 2, 3, 3, 4, 1, 4, 0, 1, 3, 0, 1, 2, 2, 3, 3, 4, 3, 1, 0, 0, 1, 3, 2, 3, 2, 3, 1, 0, 4, 2, 2, 2, 4, 4, 1, 2, 1, 1, 0, 2, 2, 4, 2, 4, 4, 0, 2, 3, 2, 3, 4, 4, 1, 0, 4, 1, 0, 3, 4, 3, 0, 4, 4, 0, 3, 4, 2, 4, 1, 0, 1, 1, 3, 1, 2, 0, 3, 3] pubkeycol1237 = [4, 1, 1, 3, 2, 4, 3, 2, 1, 2, 2, 3, 2, 1, 2, 0, 1, 1, 1, 3, 4, 0, 3, 2, 1, 0, 1, 4, 0, 1, 3, 4, 1, 0, 0, 4, 1, 4, 1, 0, 2, 2, 1, 1, 1, 3, 1, 2, 2, 4, 2, 4, 4, 4, 1, 0, 3, 4, 3, 0, 1, 2, 1, 2, 1, 1, 4, 0, 3, 3, 2, 4, 3, 3, 0, 4, 1, 3, 1, 3, 0, 4, 0, 2, 2, 2, 4, 2, 3, 0, 1, 2, 4, 1, 1, 0, 0, 4, 4, 1, 0, 0, 1, 2, 2, 0, 3, 3, 0, 4, 1, 4, 3, 0, 0, 1, 2, 3, 0, 2, 2, 4, 3, 2, 2, 2, 0, 4, 1, 2, 3, 1, 2, 0, 4, 4, 4, 0, 0, 1, 2, 3, 4, 1, 0, 2, 2, 3, 2, 0, 1, 3, 0, 1, 3, 1, 0, 0, 1, 3, 2, 2, 0, 1, 1, 4, 4, 2, 3, 4, 4, 3, 3, 1, 0, 2, 1, 1, 0, 2, 3, 2, 2, 4, 0, 4, 1, 2, 3, 4, 3, 2, 2, 4, 3, 0, 0, 2, 3, 1, 3, 2, 3, 1, 1, 0, 1, 4, 1, 1, 3, 0, 2, 0, 3, 4, 2, 0, 2, 4, 0, 0, 3, 4, 3, 3, 4, 2, 2, 2, 1, 0, 2, 4, 3, 1, 2, 3, 1, 3, 4, 4, 3, 1, 3, 2, 4, 0, 4, 2, 4, 4, 4, 4, 2, 1, 3, 2, 2, 3, 4, 0, 3, 4, 1, 1, 3, 4, 1, 2, 0, 0, 2, 3, 0, 1, 3, 3, 0, 0, 3, 0, 0, 3, 4, 0, 4, 4, 0, 2, 4, 3, 0, 3, 3, 3, 3, 3, 1, 1, 0, 3, 1, 3, 2, 3, 2, 0, 3, 1, 0, 3, 4, 1, 0, 2, 1, 4, 1, 2, 0, 4, 3, 2, 1, 3, 2, 4, 3, 2, 1, 4, 2, 2, 4, 1, 4, 2, 3, 0, 0, 3, 2, 4, 0, 0, 0, 4, 1, 0, 1, 1, 4, 2, 2, 3, 0, 4, 0, 2, 2, 2, 0, 3, 2, 4, 1, 4, 3, 2, 2, 0, 4, 0, 2, 2, 3, 3, 2, 4, 1, 1, 1, 1, 3, 4, 3, 2, 0, 2, 2, 0, 4, 4, 0, 3, 2, 2, 2, 4] pubkeycol1238 = [4, 3, 1, 3, 0, 0, 2, 0, 2, 4, 4, 0, 2, 1, 4, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 1, 4, 0, 3, 1, 4, 4, 0, 1, 0, 3, 0, 3, 1, 4, 3, 4, 2, 1, 0, 1, 1, 2, 0, 3, 4, 3, 1, 3, 4, 3, 3, 2, 0, 0, 1, 0, 3, 2, 3, 4, 4, 0, 3, 1, 1, 4, 3, 4, 2, 0, 4, 1, 1, 2, 3, 4, 2, 2, 0, 2, 2, 3, 0, 3, 4, 1, 3, 3, 3, 2, 1, 3, 4, 1, 3, 1, 1, 2, 4, 4, 3, 3, 2, 0, 4, 3, 4, 0, 4, 2, 2, 3, 2, 4, 2, 3, 4, 4, 1, 4, 3, 0, 4, 0, 4, 1, 2, 3, 0, 2, 1, 3, 3, 2, 1, 1, 4, 4, 3, 3, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 4, 1, 0, 2, 2, 0, 1, 2, 4, 4, 1, 3, 3, 1, 2, 4, 0, 3, 0, 0, 3, 4, 4, 1, 4, 0, 2, 1, 3, 1, 4, 3, 3, 0, 1, 4, 1, 4, 3, 3, 3, 0, 1, 3, 0, 1, 2, 2, 1, 2, 4, 1, 0, 2, 0, 4, 0, 0, 1, 3, 2, 1, 4, 1, 3, 1, 1, 4, 4, 4, 1, 2, 1, 1, 3, 3, 1, 4, 1, 3, 1, 0, 1, 0, 0, 2, 1, 4, 0, 1, 0, 0, 1, 3, 4, 3, 3, 2, 4, 3, 4, 4, 4, 2, 2, 2, 0, 4, 3, 4, 2, 0, 1, 0, 3, 4, 2, 0, 2, 4, 2, 3, 0, 4, 0, 3, 1, 3, 2, 2, 1, 2, 2, 1, 4, 2, 3, 4, 2, 4, 0, 2, 2, 3, 2, 2, 2, 0, 3, 2, 4, 2, 3, 4, 1, 4, 3, 1, 3, 4, 3, 1, 0, 4, 0, 4, 3, 3, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 3, 4, 4, 0, 3, 4, 0, 2, 4, 2, 3, 1, 3, 2, 2, 4, 1, 1, 2, 2, 3, 1, 3, 4, 4, 0, 4, 3, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 0, 3, 1, 4, 3, 4, 1, 1, 3, 3, 3, 1, 4, 4, 3, 4, 0, 1, 0, 0, 0, 3] pubkeycol1239 = [4, 4, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 3, 0, 1, 3, 2, 3, 2, 2, 3, 0, 1, 2, 0, 1, 3, 2, 2, 4, 0, 3, 1, 0, 0, 3, 4, 0, 2, 1, 1, 0, 3, 0, 0, 2, 3, 1, 1, 0, 1, 2, 3, 0, 0, 2, 3, 4, 2, 1, 1, 1, 1, 1, 3, 2, 0, 3, 1, 0, 1, 0, 1, 1, 3, 4, 3, 4, 0, 1, 4, 4, 1, 3, 1, 0, 3, 4, 2, 0, 3, 4, 0, 4, 1, 4, 2, 2, 2, 2, 0, 0, 3, 1, 4, 0, 2, 4, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 3, 4, 4, 4, 1, 2, 1, 2, 4, 3, 3, 1, 0, 4, 1, 1, 4, 2, 4, 1, 4, 3, 2, 3, 2, 1, 0, 2, 4, 3, 0, 3, 2, 0, 2, 3, 4, 4, 1, 1, 0, 1, 3, 1, 2, 0, 4, 1, 0, 1, 4, 4, 2, 4, 0, 0, 3, 0, 3, 0, 4, 2, 1, 1, 1, 1, 0, 2, 4, 4, 0, 3, 4, 0, 0, 2, 3, 1, 2, 2, 3, 4, 2, 4, 4, 3, 4, 3, 1, 3, 3, 4, 4, 1, 0, 0, 2, 2, 1, 4, 4, 3, 2, 0, 1, 2, 0, 1, 2, 0, 0, 4, 0, 2, 3, 3, 1, 2, 0, 4, 2, 3, 4, 2, 3, 0, 2, 1, 3, 0, 3, 4, 0, 2, 4, 0, 1, 0, 0, 4, 2, 4, 3, 2, 3, 0, 1, 4, 4, 3, 0, 3, 1, 3, 1, 1, 3, 2, 4, 0, 2, 2, 2, 1, 3, 4, 3, 0, 1, 2, 4, 2, 3, 0, 4, 3, 4, 1, 1, 2, 1, 4, 0, 3, 2, 1, 1, 1, 4, 3, 4, 0, 2, 2, 3, 4, 3, 1, 3, 2, 3, 0, 3, 3, 2, 1, 4, 3, 3, 2, 1, 1, 4, 1, 1, 4, 1, 3, 2, 1, 4, 0, 0, 2, 0, 1, 3, 3, 3, 4, 4, 3, 4, 0, 0, 2, 1, 2, 3, 4, 2, 4, 4, 0, 1, 2, 1, 1, 4, 3, 3, 0, 2, 2, 3, 3, 1, 2, 0, 0, 3, 4, 0, 1, 2, 4, 2, 3, 1, 0, 1, 3, 4, 0, 4, 3, 0, 0] pubkeycol1240 = [3, 4, 2, 3, 0, 3, 3, 1, 3, 4, 0, 1, 1, 1, 2, 1, 2, 3, 1, 0, 0, 3, 0, 3, 3, 2, 1, 1, 4, 3, 2, 0, 1, 0, 0, 4, 3, 0, 1, 2, 0, 2, 0, 2, 1, 4, 3, 2, 0, 3, 0, 1, 2, 3, 0, 0, 1, 2, 2, 1, 2, 3, 0, 2, 1, 2, 2, 2, 4, 3, 3, 0, 4, 4, 3, 0, 2, 4, 4, 2, 2, 4, 2, 4, 0, 3, 3, 1, 3, 4, 0, 0, 1, 0, 4, 3, 3, 1, 3, 0, 2, 4, 0, 3, 3, 4, 3, 3, 3, 0, 3, 1, 0, 3, 3, 2, 1, 3, 4, 2, 0, 2, 3, 3, 0, 0, 0, 3, 4, 0, 4, 3, 3, 1, 4, 2, 1, 0, 2, 2, 3, 0, 3, 3, 0, 4, 3, 3, 4, 2, 3, 2, 3, 4, 3, 1, 1, 0, 0, 2, 2, 0, 4, 1, 4, 1, 2, 1, 3, 3, 1, 4, 0, 3, 3, 2, 2, 1, 3, 0, 4, 3, 4, 0, 4, 3, 4, 0, 0, 2, 4, 0, 1, 1, 3, 1, 1, 0, 2, 1, 4, 3, 4, 1, 3, 3, 2, 1, 4, 4, 3, 4, 3, 4, 3, 2, 2, 0, 4, 3, 2, 1, 4, 2, 3, 0, 4, 0, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 2, 3, 2, 0, 1, 0, 1, 3, 2, 4, 0, 2, 0, 0, 1, 0, 4, 2, 2, 2, 3, 3, 1, 0, 4, 3, 1, 3, 0, 2, 3, 4, 3, 3, 4, 4, 0, 3, 0, 3, 2, 0, 0, 1, 4, 2, 1, 0, 2, 2, 1, 0, 3, 3, 3, 3, 1, 0, 1, 1, 1, 3, 3, 2, 0, 1, 3, 4, 0, 4, 4, 1, 3, 2, 4, 0, 1, 1, 0, 3, 3, 2, 1, 4, 1, 3, 0, 3, 0, 2, 2, 4, 1, 2, 1, 2, 0, 0, 2, 4, 4, 4, 3, 0, 3, 0, 1, 1, 3, 4, 2, 1, 1, 0, 4, 0, 1, 1, 1, 2, 0, 3, 2, 0, 0, 0, 3, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 4, 0, 3, 0, 1, 4, 1, 1, 1, 3, 4, 4, 4, 1, 3, 0, 3, 0, 4, 3, 1, 1, 3] pubkeycol1241 = [1, 3, 0, 1, 1, 3, 3, 4, 4, 1, 4, 2, 2, 1, 0, 4, 3, 0, 2, 4, 0, 1, 4, 1, 3, 4, 4, 1, 4, 4, 4, 1, 3, 4, 2, 0, 3, 2, 0, 0, 1, 2, 3, 3, 2, 2, 2, 4, 0, 0, 0, 1, 2, 3, 4, 2, 2, 2, 0, 4, 3, 3, 3, 0, 2, 2, 4, 1, 4, 1, 3, 0, 1, 3, 0, 2, 1, 1, 0, 2, 4, 1, 4, 0, 3, 2, 4, 3, 2, 4, 1, 4, 0, 4, 0, 2, 3, 2, 1, 0, 2, 0, 2, 0, 3, 4, 3, 2, 2, 3, 4, 2, 1, 4, 3, 0, 3, 1, 4, 0, 0, 4, 1, 1, 3, 2, 2, 4, 1, 2, 2, 2, 4, 2, 4, 4, 3, 2, 2, 1, 4, 4, 1, 1, 0, 1, 0, 2, 3, 2, 1, 3, 2, 1, 3, 0, 2, 0, 4, 0, 4, 0, 0, 2, 2, 2, 3, 0, 1, 4, 1, 1, 3, 3, 0, 4, 0, 1, 1, 3, 2, 4, 2, 2, 4, 1, 2, 4, 2, 1, 2, 3, 1, 3, 2, 0, 2, 1, 2, 3, 4, 2, 4, 0, 0, 2, 4, 4, 2, 1, 0, 0, 4, 2, 2, 0, 0, 3, 4, 0, 0, 4, 1, 1, 4, 2, 4, 4, 4, 3, 3, 2, 3, 0, 2, 1, 0, 3, 0, 0, 1, 3, 2, 3, 4, 0, 2, 3, 0, 0, 4, 4, 4, 2, 1, 0, 4, 4, 4, 2, 0, 0, 3, 4, 0, 3, 3, 2, 4, 2, 0, 3, 0, 0, 2, 4, 2, 1, 4, 1, 3, 2, 1, 0, 4, 4, 2, 3, 2, 4, 3, 3, 4, 2, 4, 0, 4, 4, 1, 3, 2, 4, 3, 0, 4, 4, 4, 1, 2, 4, 4, 1, 1, 0, 0, 3, 1, 0, 1, 3, 0, 3, 1, 3, 2, 2, 4, 1, 4, 2, 3, 1, 0, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 0, 1, 2, 2, 1, 3, 1, 1, 0, 4, 1, 3, 4, 2, 3, 1, 3, 2, 3, 0, 1, 2, 4, 4, 1, 0, 1, 3, 1, 1, 1, 1, 1, 0, 3, 0, 1, 2, 2, 0, 1, 0, 0, 0, 4, 2, 2, 1, 1, 4, 4, 0, 2, 4, 3, 1] pubkeycol1242 = [0, 4, 1, 3, 0, 3, 4, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 4, 1, 1, 0, 2, 3, 0, 3, 3, 4, 3, 2, 4, 0, 3, 3, 0, 4, 4, 2, 3, 4, 0, 4, 1, 3, 1, 4, 4, 3, 4, 1, 3, 4, 3, 2, 1, 2, 1, 2, 4, 1, 0, 4, 1, 4, 2, 2, 3, 4, 1, 0, 2, 4, 0, 3, 0, 4, 2, 4, 2, 4, 3, 3, 3, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 2, 0, 0, 1, 3, 3, 3, 4, 0, 4, 3, 0, 1, 0, 3, 2, 1, 0, 2, 0, 1, 0, 4, 3, 0, 1, 4, 1, 0, 0, 2, 3, 3, 4, 2, 1, 1, 0, 1, 3, 4, 4, 2, 0, 4, 1, 0, 4, 0, 4, 0, 0, 4, 0, 3, 2, 1, 4, 2, 0, 4, 4, 4, 3, 3, 0, 3, 2, 4, 3, 3, 1, 1, 2, 0, 2, 3, 0, 2, 0, 3, 0, 4, 1, 2, 2, 1, 3, 3, 3, 4, 3, 2, 1, 2, 2, 4, 4, 3, 4, 0, 1, 4, 2, 1, 0, 2, 1, 4, 4, 4, 2, 4, 2, 3, 4, 0, 3, 3, 1, 2, 4, 0, 1, 4, 1, 1, 0, 0, 3, 4, 1, 0, 0, 3, 4, 0, 4, 3, 3, 4, 3, 0, 4, 0, 3, 3, 1, 1, 3, 4, 3, 1, 0, 3, 1, 2, 2, 0, 4, 0, 1, 3, 4, 0, 2, 1, 1, 0, 2, 1, 3, 1, 1, 4, 2, 2, 4, 3, 2, 2, 1, 0, 1, 2, 3, 1, 0, 3, 3, 0, 0, 2, 3, 0, 0, 0, 1, 2, 0, 0, 4, 2, 4, 1, 4, 3, 0, 4, 0, 2, 0, 4, 1, 4, 0, 0, 3, 3, 1, 4, 1, 2, 2, 3, 0, 4, 3, 1, 2, 3, 0, 0, 2, 4, 3, 2, 0, 3, 0, 3, 3, 0, 0, 1, 2, 3, 0, 3, 4, 2, 4, 3, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 4, 0, 2, 0, 0, 1, 3, 1, 2, 4, 3, 0, 4, 4, 4, 4, 4, 1, 0, 2, 0, 1, 0, 4, 4, 4, 0, 4, 2, 2, 3, 2, 2, 0, 3, 4, 0, 1, 4, 2, 3, 2] pubkeycol1243 = [2, 4, 3, 2, 3, 3, 0, 0, 2, 2, 4, 2, 2, 1, 3, 1, 3, 2, 1, 1, 4, 0, 1, 1, 0, 3, 3, 1, 4, 2, 3, 0, 0, 1, 1, 3, 2, 0, 1, 0, 1, 0, 0, 4, 4, 4, 2, 1, 0, 1, 0, 0, 4, 0, 0, 0, 4, 3, 4, 3, 2, 2, 0, 4, 4, 3, 3, 2, 1, 2, 2, 0, 3, 4, 3, 3, 1, 1, 1, 2, 0, 2, 3, 3, 2, 0, 1, 0, 4, 1, 4, 1, 2, 4, 2, 2, 1, 4, 1, 1, 1, 0, 2, 1, 2, 2, 3, 1, 0, 0, 4, 0, 4, 2, 2, 4, 0, 4, 1, 1, 1, 2, 1, 2, 4, 3, 1, 3, 1, 1, 3, 4, 2, 2, 3, 3, 3, 0, 4, 0, 4, 4, 0, 4, 0, 2, 2, 0, 3, 0, 2, 2, 0, 2, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 2, 4, 2, 1, 0, 4, 3, 1, 2, 2, 0, 4, 1, 1, 2, 0, 4, 0, 3, 2, 4, 1, 3, 1, 1, 1, 4, 1, 0, 4, 4, 1, 1, 0, 2, 3, 1, 2, 4, 3, 3, 4, 2, 1, 2, 3, 1, 0, 0, 2, 4, 3, 1, 2, 2, 2, 1, 3, 3, 2, 2, 3, 0, 4, 1, 3, 1, 1, 3, 0, 0, 1, 0, 2, 3, 3, 2, 4, 0, 4, 4, 1, 4, 2, 2, 3, 1, 4, 1, 3, 3, 1, 0, 3, 0, 1, 1, 1, 0, 0, 2, 4, 1, 2, 1, 1, 4, 2, 3, 3, 0, 3, 0, 2, 3, 0, 0, 0, 2, 2, 1, 4, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 4, 4, 3, 2, 1, 2, 3, 1, 4, 0, 1, 0, 0, 0, 1, 1, 1, 1, 4, 0, 4, 4, 4, 1, 4, 3, 1, 2, 1, 4, 1, 2, 1, 2, 3, 1, 3, 4, 0, 2, 0, 1, 4, 4, 4, 2, 1, 1, 0, 4, 1, 2, 1, 4, 0, 1, 0, 1, 3, 1, 1, 3, 3, 4, 0, 4, 1, 4, 3, 2, 3, 3, 2, 4, 4, 0, 0, 3, 4, 3, 1, 2, 3, 1, 4, 2, 0, 0, 2, 4, 3, 0, 4, 4, 0, 1, 0, 0, 0, 3, 4, 2, 2] pubkeycol1244 = [0, 1, 4, 1, 0, 0, 3, 4, 4, 3, 3, 4, 0, 3, 0, 0, 1, 2, 1, 4, 2, 1, 2, 1, 2, 4, 1, 0, 3, 1, 3, 0, 1, 0, 0, 2, 2, 4, 0, 1, 1, 1, 4, 3, 1, 4, 0, 4, 3, 1, 4, 4, 4, 4, 3, 1, 1, 1, 4, 3, 4, 3, 2, 0, 3, 2, 3, 4, 1, 4, 0, 2, 2, 1, 1, 1, 3, 0, 1, 3, 0, 2, 0, 1, 1, 4, 1, 3, 3, 3, 1, 4, 4, 2, 4, 2, 1, 4, 1, 4, 3, 0, 4, 1, 0, 0, 4, 3, 3, 2, 4, 2, 2, 1, 1, 1, 3, 1, 0, 3, 1, 0, 2, 2, 2, 0, 3, 0, 1, 4, 2, 2, 3, 0, 2, 4, 4, 2, 4, 3, 1, 0, 4, 1, 1, 3, 4, 1, 0, 1, 0, 1, 2, 4, 2, 3, 2, 1, 0, 1, 0, 2, 1, 0, 1, 3, 1, 3, 4, 3, 0, 4, 2, 0, 2, 1, 0, 0, 4, 2, 3, 3, 3, 4, 3, 2, 2, 4, 0, 2, 3, 1, 3, 3, 1, 4, 2, 0, 0, 0, 0, 2, 4, 4, 1, 0, 2, 1, 4, 1, 4, 1, 0, 2, 2, 1, 3, 2, 0, 1, 2, 3, 1, 2, 4, 2, 4, 2, 1, 2, 4, 3, 4, 1, 0, 3, 4, 3, 0, 0, 2, 3, 0, 4, 4, 1, 3, 2, 2, 3, 0, 3, 0, 4, 4, 4, 3, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 4, 0, 2, 0, 3, 3, 3, 4, 3, 3, 2, 4, 0, 4, 1, 0, 3, 1, 3, 1, 0, 0, 1, 3, 0, 3, 3, 1, 0, 4, 0, 0, 4, 1, 2, 1, 2, 3, 3, 3, 2, 0, 3, 0, 3, 4, 2, 0, 0, 3, 3, 1, 2, 0, 4, 1, 3, 1, 1, 4, 2, 0, 0, 1, 1, 1, 2, 0, 3, 4, 1, 4, 1, 3, 3, 4, 1, 1, 1, 0, 1, 4, 3, 2, 2, 1, 4, 0, 2, 1, 1, 1, 1, 2, 4, 2, 1, 0, 2, 2, 3, 0, 4, 2, 2, 1, 3, 3, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 3, 3, 4, 1, 0, 4, 1, 4, 0, 3, 1, 2, 2, 1] pubkeycol1245 = [1, 3, 3, 3, 4, 3, 3, 3, 3, 1, 4, 0, 1, 1, 0, 4, 3, 1, 4, 3, 2, 3, 3, 2, 1, 2, 2, 0, 4, 3, 1, 3, 2, 0, 4, 4, 3, 4, 1, 2, 1, 0, 4, 2, 2, 2, 4, 2, 4, 1, 0, 2, 0, 4, 3, 3, 1, 1, 1, 3, 2, 3, 2, 2, 0, 3, 3, 3, 3, 3, 1, 0, 0, 3, 0, 3, 4, 2, 3, 4, 4, 1, 0, 1, 4, 3, 2, 2, 4, 1, 3, 4, 4, 0, 4, 2, 1, 4, 1, 4, 1, 2, 3, 4, 4, 3, 4, 2, 2, 4, 3, 4, 0, 1, 0, 1, 3, 2, 2, 3, 4, 1, 3, 0, 1, 3, 4, 0, 4, 1, 4, 1, 2, 4, 0, 3, 2, 2, 3, 2, 1, 1, 4, 0, 1, 3, 2, 1, 3, 4, 4, 0, 4, 1, 1, 3, 4, 3, 4, 0, 2, 3, 0, 0, 3, 4, 2, 1, 3, 1, 0, 0, 2, 2, 2, 3, 3, 0, 4, 4, 3, 2, 3, 0, 2, 3, 3, 0, 4, 2, 3, 4, 2, 1, 4, 0, 0, 3, 3, 3, 1, 4, 4, 1, 0, 3, 1, 3, 4, 0, 2, 1, 2, 0, 0, 4, 4, 3, 3, 2, 3, 0, 0, 1, 3, 2, 2, 2, 0, 0, 4, 1, 0, 4, 3, 2, 0, 1, 4, 3, 2, 4, 3, 1, 2, 2, 4, 4, 3, 0, 2, 3, 3, 1, 2, 3, 1, 2, 3, 0, 4, 0, 1, 3, 1, 4, 1, 3, 2, 1, 3, 2, 3, 4, 4, 0, 0, 3, 2, 2, 1, 4, 4, 1, 4, 3, 3, 0, 3, 0, 4, 4, 4, 0, 3, 2, 1, 1, 0, 3, 1, 3, 2, 0, 4, 4, 4, 0, 3, 3, 0, 0, 3, 2, 2, 0, 2, 2, 1, 0, 3, 0, 2, 2, 3, 1, 2, 0, 1, 4, 4, 3, 0, 0, 4, 2, 1, 0, 3, 4, 2, 0, 3, 2, 2, 0, 3, 2, 1, 3, 3, 2, 0, 2, 4, 3, 4, 4, 3, 1, 1, 2, 3, 3, 0, 4, 2, 3, 2, 1, 2, 3, 4, 0, 2, 4, 2, 0, 0, 2, 0, 0, 0, 3, 4, 3, 1, 4, 2, 4, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol1246 = [1, 4, 4, 2, 3, 4, 1, 2, 2, 0, 1, 1, 0, 0, 4, 4, 1, 1, 0, 2, 3, 3, 2, 0, 2, 4, 0, 0, 2, 4, 3, 4, 0, 1, 1, 4, 3, 1, 4, 4, 3, 1, 3, 0, 3, 0, 4, 1, 3, 1, 1, 2, 4, 4, 1, 1, 4, 4, 4, 2, 4, 2, 3, 0, 1, 4, 3, 1, 1, 4, 1, 1, 3, 0, 3, 4, 0, 1, 1, 2, 3, 1, 2, 2, 4, 1, 3, 4, 0, 3, 0, 1, 3, 3, 0, 1, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 2, 0, 2, 3, 4, 0, 0, 0, 4, 1, 3, 1, 2, 0, 1, 2, 4, 3, 2, 1, 4, 3, 2, 3, 3, 4, 4, 2, 2, 4, 4, 0, 4, 3, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 4, 0, 1, 1, 3, 1, 1, 3, 4, 4, 2, 3, 3, 2, 3, 1, 4, 1, 2, 3, 2, 1, 4, 3, 2, 3, 3, 2, 3, 0, 0, 1, 3, 0, 2, 4, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 3, 3, 3, 0, 3, 2, 4, 3, 0, 4, 0, 0, 3, 0, 2, 4, 1, 4, 2, 0, 4, 2, 2, 2, 0, 2, 3, 1, 3, 4, 0, 2, 3, 0, 1, 2, 2, 4, 1, 2, 2, 0, 2, 4, 3, 0, 4, 0, 1, 4, 1, 3, 4, 1, 2, 0, 4, 4, 3, 2, 3, 2, 2, 4, 3, 4, 2, 4, 3, 3, 1, 1, 3, 4, 3, 3, 2, 2, 2, 4, 0, 1, 0, 1, 0, 4, 0, 1, 2, 2, 4, 0, 3, 2, 4, 2, 0, 3, 3, 4, 2, 2, 1, 3, 4, 3, 2, 4, 1, 2, 3, 2, 3, 4, 4, 2, 1, 0, 4, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 3, 0, 0, 0, 1, 0, 2, 2, 0, 2, 4, 1, 3, 0, 3, 1, 1, 4, 1, 2, 4, 2, 2, 1, 2, 0, 4, 1, 1, 4, 0, 0, 4, 2, 2, 1, 3, 2, 1, 3, 0, 1, 3, 3, 4, 3, 0, 3, 4, 1, 0, 1, 0, 3, 0, 0, 0, 3, 2, 1, 2, 0, 0, 3, 1] pubkeycol1247 = [0, 3, 3, 1, 3, 3, 4, 4, 2, 3, 0, 3, 1, 3, 0, 1, 1, 0, 0, 1, 4, 1, 1, 3, 4, 2, 3, 4, 4, 1, 3, 0, 4, 4, 1, 4, 2, 2, 1, 1, 3, 3, 4, 3, 1, 1, 0, 0, 4, 0, 3, 4, 1, 1, 2, 0, 0, 2, 4, 4, 3, 0, 1, 1, 2, 4, 0, 2, 4, 1, 4, 2, 3, 3, 0, 1, 1, 3, 2, 2, 0, 4, 2, 3, 4, 4, 2, 3, 0, 0, 1, 2, 3, 4, 2, 4, 2, 3, 1, 3, 0, 4, 1, 0, 3, 3, 1, 4, 2, 2, 1, 4, 1, 0, 0, 3, 2, 3, 1, 4, 0, 1, 3, 4, 4, 1, 3, 0, 3, 4, 4, 4, 2, 4, 4, 3, 0, 3, 4, 3, 3, 3, 2, 0, 4, 1, 0, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4, 4, 3, 0, 4, 4, 1, 3, 0, 1, 3, 0, 4, 0, 1, 2, 2, 3, 2, 0, 0, 1, 1, 4, 3, 0, 4, 4, 2, 3, 4, 0, 4, 3, 3, 3, 3, 2, 0, 3, 2, 4, 4, 1, 2, 0, 3, 3, 1, 0, 3, 3, 2, 0, 4, 2, 0, 1, 1, 3, 2, 2, 4, 0, 3, 0, 2, 3, 3, 3, 0, 3, 4, 0, 0, 1, 2, 1, 4, 3, 4, 3, 1, 1, 2, 3, 1, 1, 0, 4, 1, 4, 3, 3, 3, 2, 4, 3, 2, 2, 4, 0, 2, 3, 3, 0, 3, 2, 4, 4, 2, 4, 0, 0, 4, 0, 4, 4, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 4, 0, 2, 2, 2, 4, 0, 2, 2, 1, 3, 1, 3, 3, 1, 3, 1, 0, 1, 1, 2, 0, 3, 1, 0, 2, 3, 0, 0, 3, 3, 3, 4, 3, 0, 4, 2, 1, 4, 3, 3, 3, 4, 1, 3, 1, 1, 3, 4, 4, 3, 3, 3, 0, 0, 2, 2, 0, 3, 4, 4, 0, 3, 0, 3, 3, 4, 2, 1, 4, 2, 1, 2, 3, 2, 2, 2, 0, 1, 1, 0, 3, 3, 1, 0, 3, 3, 1, 0, 1, 2, 4, 2, 3, 4, 4, 2, 1, 4, 0, 4, 0, 0, 1, 0, 2, 2, 4, 3, 2, 1, 1, 0, 2, 2, 4] pubkeycol1248 = [2, 1, 3, 1, 2, 3, 1, 0, 0, 2, 3, 2, 1, 1, 0, 4, 3, 3, 3, 3, 4, 3, 1, 4, 2, 2, 0, 0, 0, 4, 4, 3, 2, 1, 2, 2, 3, 1, 1, 3, 1, 1, 2, 1, 3, 4, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 4, 0, 3, 2, 4, 3, 1, 2, 0, 0, 0, 0, 1, 3, 1, 4, 1, 4, 4, 3, 1, 1, 0, 3, 3, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 4, 1, 1, 4, 2, 2, 1, 3, 4, 3, 1, 2, 3, 2, 0, 0, 3, 0, 4, 1, 2, 0, 2, 0, 4, 1, 2, 0, 4, 0, 4, 2, 1, 3, 4, 3, 0, 3, 1, 3, 1, 0, 4, 0, 2, 0, 1, 3, 4, 0, 0, 1, 3, 4, 1, 1, 3, 1, 3, 4, 2, 1, 0, 4, 2, 2, 0, 1, 1, 3, 3, 2, 2, 3, 0, 1, 3, 0, 3, 2, 1, 2, 0, 0, 0, 4, 4, 4, 1, 0, 3, 0, 3, 3, 0, 1, 2, 0, 2, 1, 4, 3, 3, 1, 1, 4, 0, 3, 1, 2, 3, 4, 4, 3, 3, 4, 4, 0, 0, 2, 1, 3, 1, 3, 0, 0, 2, 4, 4, 0, 1, 4, 2, 0, 0, 4, 1, 2, 1, 3, 0, 0, 0, 1, 2, 4, 2, 2, 3, 4, 4, 3, 3, 2, 0, 4, 4, 3, 2, 0, 2, 3, 4, 1, 3, 0, 2, 0, 0, 0, 2, 4, 2, 2, 4, 2, 3, 4, 4, 2, 4, 4, 1, 2, 1, 3, 3, 3, 2, 4, 4, 0, 2, 4, 4, 1, 1, 2, 4, 1, 2, 3, 3, 3, 0, 0, 2, 0, 4, 2, 4, 1, 2, 2, 2, 3, 2, 4, 1, 3, 0, 1, 2, 4, 0, 1, 2, 4, 2, 1, 1, 3, 2, 0, 2, 2, 3, 3, 3, 3, 3, 3, 1, 4, 3, 0, 3, 2, 4, 4, 4, 2, 4, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 4, 1, 1, 4, 4, 4, 2, 2, 1, 2, 1, 1, 1, 0, 1, 4, 1, 4, 1, 0, 1, 1, 4, 3, 0, 2, 0, 0, 1, 4, 3, 4, 0, 2, 0, 0] pubkeycol1249 = [0, 0, 3, 1, 4, 2, 0, 0, 4, 4, 0, 4, 4, 0, 1, 0, 3, 0, 3, 4, 2, 1, 1, 4, 0, 1, 4, 2, 2, 2, 1, 1, 4, 3, 2, 0, 4, 3, 2, 3, 1, 1, 4, 3, 1, 0, 0, 3, 1, 3, 2, 4, 1, 1, 0, 4, 2, 3, 1, 0, 1, 0, 1, 4, 2, 2, 1, 3, 4, 3, 4, 2, 2, 3, 0, 1, 3, 0, 2, 0, 0, 0, 1, 1, 0, 0, 3, 0, 4, 2, 1, 0, 0, 4, 4, 4, 4, 0, 1, 3, 2, 0, 0, 0, 3, 3, 0, 1, 4, 4, 3, 4, 0, 2, 3, 0, 3, 1, 0, 1, 2, 2, 1, 3, 3, 2, 3, 4, 4, 0, 3, 1, 0, 0, 0, 0, 3, 2, 1, 2, 3, 0, 4, 1, 0, 3, 4, 2, 3, 3, 2, 0, 2, 4, 2, 1, 3, 4, 3, 3, 0, 0, 3, 0, 0, 0, 2, 0, 2, 4, 1, 3, 4, 4, 2, 0, 2, 3, 4, 3, 1, 1, 0, 4, 2, 3, 2, 1, 1, 3, 2, 4, 1, 0, 4, 1, 4, 2, 0, 4, 0, 2, 4, 1, 4, 3, 3, 4, 2, 1, 4, 2, 3, 0, 1, 1, 0, 1, 4, 2, 0, 3, 1, 2, 1, 3, 1, 1, 2, 3, 0, 1, 0, 3, 4, 1, 1, 2, 2, 0, 4, 0, 3, 4, 3, 2, 4, 2, 0, 3, 2, 2, 1, 0, 1, 2, 3, 3, 3, 3, 0, 2, 2, 4, 2, 2, 4, 1, 4, 0, 3, 0, 0, 2, 4, 4, 1, 2, 3, 3, 0, 1, 4, 2, 1, 1, 0, 3, 3, 1, 4, 1, 0, 1, 1, 1, 2, 2, 2, 3, 0, 2, 3, 0, 2, 4, 3, 4, 1, 1, 0, 1, 1, 1, 1, 0, 1, 3, 3, 1, 4, 4, 0, 1, 2, 4, 3, 1, 0, 2, 4, 3, 0, 4, 2, 3, 3, 3, 2, 4, 2, 0, 1, 1, 1, 1, 2, 4, 0, 2, 3, 4, 4, 2, 2, 2, 0, 1, 3, 3, 1, 0, 2, 1, 3, 3, 4, 1, 4, 3, 1, 0, 0, 2, 2, 0, 3, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 3, 2, 4, 3, 0, 1, 2, 4, 1, 3, 2, 2, 0] pubkeycol1250 = [4, 1, 3, 2, 2, 1, 1, 0, 2, 3, 1, 0, 3, 2, 1, 2, 3, 2, 4, 2, 0, 4, 1, 0, 1, 4, 2, 0, 2, 3, 3, 3, 1, 0, 1, 1, 2, 4, 0, 0, 3, 0, 3, 1, 4, 2, 2, 1, 3, 1, 3, 2, 3, 0, 0, 4, 3, 0, 1, 4, 3, 3, 4, 4, 4, 3, 3, 1, 0, 3, 3, 3, 3, 3, 3, 3, 1, 4, 0, 2, 4, 1, 3, 2, 4, 0, 3, 0, 1, 2, 0, 3, 1, 2, 2, 2, 0, 2, 4, 4, 2, 0, 3, 2, 3, 4, 4, 1, 1, 1, 2, 2, 2, 0, 2, 4, 0, 1, 4, 4, 0, 1, 3, 4, 1, 4, 2, 1, 2, 4, 4, 1, 1, 2, 1, 3, 2, 3, 0, 3, 3, 0, 1, 2, 4, 1, 2, 4, 3, 0, 0, 2, 0, 3, 4, 0, 3, 2, 1, 3, 0, 2, 2, 2, 1, 2, 3, 0, 2, 3, 3, 0, 4, 4, 0, 3, 0, 1, 0, 2, 2, 3, 1, 0, 2, 2, 4, 1, 4, 1, 4, 0, 3, 0, 4, 3, 3, 3, 0, 4, 4, 1, 2, 3, 0, 2, 4, 0, 4, 4, 4, 1, 0, 4, 4, 2, 2, 3, 0, 1, 3, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 4, 2, 3, 3, 0, 3, 3, 3, 0, 0, 0, 4, 2, 4, 3, 2, 1, 2, 1, 2, 2, 4, 3, 4, 1, 1, 2, 0, 4, 3, 4, 3, 1, 0, 1, 2, 1, 1, 3, 2, 2, 4, 4, 2, 4, 2, 0, 0, 2, 0, 1, 3, 1, 0, 3, 1, 3, 3, 2, 4, 4, 1, 0, 1, 3, 1, 2, 4, 1, 2, 1, 4, 0, 2, 3, 0, 3, 4, 2, 3, 1, 2, 2, 1, 3, 1, 4, 0, 1, 1, 3, 3, 0, 0, 0, 4, 4, 4, 0, 1, 4, 3, 0, 0, 4, 4, 2, 1, 3, 4, 2, 0, 2, 1, 1, 1, 2, 2, 4, 2, 0, 1, 4, 4, 2, 0, 1, 4, 0, 1, 2, 1, 4, 0, 3, 4, 1, 0, 1, 3, 4, 2, 3, 2, 0, 1, 3, 1, 0, 2, 4, 2, 2, 1, 2, 4, 1, 2, 3, 1, 3, 1, 3, 2, 0, 3, 2, 4, 2] pubkeycol1251 = [3, 1, 3, 2, 0, 2, 1, 3, 0, 4, 0, 4, 1, 3, 3, 2, 2, 3, 1, 4, 1, 4, 2, 0, 2, 0, 2, 1, 4, 0, 1, 3, 4, 1, 0, 4, 4, 2, 0, 4, 3, 4, 4, 3, 3, 0, 0, 2, 0, 2, 4, 0, 1, 2, 4, 1, 4, 1, 2, 4, 1, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 3, 1, 1, 2, 2, 1, 2, 3, 3, 4, 2, 1, 0, 4, 0, 2, 1, 1, 0, 0, 4, 0, 0, 2, 3, 3, 0, 0, 0, 2, 2, 4, 3, 2, 0, 4, 2, 0, 1, 0, 1, 4, 3, 2, 1, 2, 1, 1, 4, 4, 3, 3, 4, 2, 4, 1, 4, 2, 3, 4, 1, 2, 0, 3, 0, 3, 3, 3, 1, 4, 2, 1, 2, 1, 2, 3, 0, 4, 4, 1, 0, 1, 2, 1, 2, 4, 4, 3, 3, 3, 2, 1, 0, 2, 3, 2, 2, 2, 2, 1, 3, 2, 4, 4, 3, 2, 3, 2, 4, 4, 4, 3, 1, 0, 3, 1, 1, 0, 1, 1, 2, 2, 3, 0, 3, 1, 4, 0, 3, 1, 4, 3, 0, 1, 1, 3, 0, 4, 4, 4, 4, 3, 2, 3, 2, 0, 2, 2, 0, 2, 3, 4, 2, 1, 0, 3, 1, 4, 2, 1, 2, 4, 3, 3, 4, 2, 3, 4, 2, 2, 4, 1, 3, 3, 3, 2, 0, 0, 4, 1, 0, 0, 2, 2, 4, 0, 0, 0, 3, 0, 2, 0, 3, 3, 1, 0, 4, 2, 3, 3, 0, 2, 4, 2, 4, 2, 3, 3, 4, 0, 0, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 0, 1, 4, 4, 3, 4, 2, 4, 1, 3, 1, 1, 2, 2, 2, 4, 1, 4, 0, 0, 0, 0, 3, 0, 4, 2, 2, 1, 2, 3, 3, 2, 4, 3, 0, 3, 3, 1, 0, 1, 1, 4, 0, 1, 3, 4, 1, 2, 0, 1, 2, 4, 1, 3, 4, 0, 1, 3, 4, 2, 0, 2, 2, 2, 1, 0, 4, 0, 0, 3, 3, 0, 2, 3, 4, 2, 3, 3, 4, 2, 0, 2, 3, 2, 1, 2, 4, 4, 1, 4, 0, 2, 2, 2, 0, 4, 4, 4, 2, 4, 4, 0, 4, 2, 0, 3] pubkeycol1252 = [4, 1, 0, 3, 1, 0, 2, 4, 2, 0, 4, 3, 3, 1, 4, 3, 3, 3, 2, 0, 2, 2, 2, 0, 4, 1, 1, 3, 0, 1, 4, 4, 1, 1, 3, 1, 1, 0, 4, 0, 3, 2, 0, 3, 4, 0, 3, 4, 1, 2, 4, 0, 3, 2, 3, 4, 2, 0, 3, 1, 0, 1, 4, 0, 2, 1, 2, 4, 0, 2, 2, 1, 4, 1, 4, 0, 0, 2, 3, 2, 1, 2, 3, 3, 3, 3, 3, 3, 4, 0, 2, 0, 3, 3, 3, 4, 2, 2, 2, 4, 3, 3, 4, 2, 4, 1, 0, 4, 2, 3, 1, 1, 2, 4, 2, 3, 3, 0, 0, 2, 1, 0, 2, 0, 4, 2, 2, 3, 1, 2, 2, 3, 0, 1, 1, 1, 4, 4, 4, 4, 0, 4, 4, 4, 2, 0, 3, 4, 0, 2, 4, 1, 0, 1, 2, 1, 3, 1, 4, 3, 3, 1, 0, 3, 2, 3, 0, 0, 3, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 3, 1, 2, 1, 2, 4, 1, 3, 4, 4, 0, 1, 1, 0, 3, 3, 4, 4, 2, 2, 3, 4, 1, 4, 0, 3, 2, 2, 0, 3, 4, 2, 1, 0, 0, 2, 2, 2, 3, 3, 4, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 1, 4, 3, 3, 4, 4, 1, 4, 0, 3, 1, 0, 1, 4, 0, 4, 1, 1, 4, 1, 0, 1, 0, 3, 4, 4, 2, 0, 4, 3, 1, 3, 1, 3, 1, 4, 3, 3, 3, 2, 4, 0, 2, 0, 2, 3, 3, 4, 0, 3, 2, 4, 4, 1, 4, 1, 4, 1, 1, 0, 4, 0, 3, 0, 4, 2, 0, 2, 4, 2, 2, 3, 0, 0, 3, 3, 1, 0, 0, 0, 2, 4, 4, 2, 0, 4, 3, 4, 3, 4, 1, 0, 1, 4, 2, 1, 1, 2, 3, 2, 1, 0, 0, 3, 4, 2, 4, 4, 3, 4, 4, 2, 1, 3, 2, 1, 0, 4, 4, 3, 1, 1, 4, 4, 3, 4, 1, 0, 2, 2, 1, 1, 4, 4, 1, 2, 0, 2, 1, 3, 0, 0, 0, 1, 1, 2, 4, 2, 4, 1, 4, 0, 3, 2, 4, 4, 1, 3, 4, 2, 3, 2, 3, 0, 2, 4, 4] pubkeycol1253 = [0, 4, 2, 0, 3, 2, 1, 4, 0, 1, 1, 2, 3, 0, 4, 3, 4, 1, 3, 4, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 4, 0, 3, 1, 4, 3, 2, 3, 3, 1, 0, 2, 3, 2, 2, 4, 3, 4, 3, 0, 0, 3, 0, 4, 4, 4, 2, 0, 0, 2, 0, 0, 1, 3, 1, 0, 3, 4, 1, 1, 0, 3, 2, 1, 0, 4, 2, 3, 3, 0, 4, 3, 0, 4, 0, 0, 2, 0, 0, 3, 1, 3, 3, 0, 4, 1, 4, 1, 2, 3, 2, 1, 0, 1, 2, 0, 2, 3, 2, 0, 3, 0, 4, 4, 0, 1, 4, 4, 4, 0, 0, 3, 3, 3, 2, 4, 2, 2, 1, 4, 2, 2, 2, 3, 3, 1, 1, 3, 3, 4, 1, 3, 4, 2, 4, 0, 3, 0, 2, 2, 0, 2, 3, 2, 1, 1, 4, 3, 1, 4, 2, 4, 1, 0, 0, 1, 2, 0, 0, 0, 1, 3, 3, 0, 2, 0, 4, 4, 1, 3, 3, 1, 3, 0, 0, 1, 4, 1, 2, 2, 1, 4, 2, 4, 1, 0, 4, 2, 1, 4, 1, 4, 4, 1, 3, 0, 4, 4, 4, 3, 1, 2, 4, 3, 4, 3, 1, 1, 4, 1, 0, 4, 2, 2, 2, 0, 0, 0, 2, 2, 4, 2, 4, 0, 0, 1, 2, 3, 2, 0, 2, 3, 2, 1, 2, 4, 4, 4, 3, 1, 2, 4, 4, 4, 1, 2, 3, 3, 1, 4, 3, 1, 3, 1, 4, 3, 4, 3, 2, 0, 0, 0, 4, 4, 1, 3, 2, 4, 2, 1, 2, 4, 4, 1, 2, 1, 0, 3, 2, 4, 4, 2, 0, 1, 4, 1, 0, 1, 1, 2, 4, 3, 3, 4, 3, 0, 0, 2, 4, 4, 3, 1, 2, 1, 3, 2, 1, 2, 1, 4, 0, 3, 4, 2, 3, 3, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 3, 3, 1, 0, 4, 3, 4, 1, 3, 3, 0, 3, 2, 1, 1, 0, 0, 0, 2, 4, 4, 1, 2, 3, 4, 4, 3, 4, 0, 0, 3, 1, 1, 4, 0, 4, 0, 1, 4, 3, 0, 2, 3, 2, 1, 0, 0, 4, 1, 4, 3, 3, 0, 0, 0, 2, 1, 1, 2, 2, 0, 3, 1, 1] pubkeycol1254 = [2, 1, 0, 4, 3, 1, 3, 4, 0, 2, 1, 3, 4, 0, 3, 1, 2, 4, 0, 4, 4, 0, 0, 1, 0, 1, 0, 3, 3, 1, 2, 2, 4, 3, 0, 0, 3, 4, 1, 1, 1, 0, 2, 1, 4, 4, 1, 4, 2, 3, 0, 3, 2, 1, 4, 2, 1, 1, 4, 2, 4, 3, 1, 3, 0, 4, 4, 3, 2, 3, 0, 1, 0, 1, 4, 4, 2, 2, 3, 1, 2, 0, 1, 1, 1, 0, 0, 4, 0, 3, 2, 1, 2, 1, 0, 3, 1, 2, 2, 3, 3, 3, 1, 1, 0, 2, 3, 1, 0, 1, 2, 4, 2, 0, 4, 1, 2, 2, 1, 0, 4, 4, 2, 4, 0, 2, 1, 2, 3, 1, 2, 3, 0, 1, 0, 1, 4, 1, 3, 3, 0, 4, 1, 3, 3, 0, 2, 1, 0, 1, 3, 1, 4, 4, 3, 4, 1, 2, 4, 1, 1, 2, 1, 0, 2, 0, 4, 4, 4, 2, 2, 0, 3, 3, 1, 3, 0, 0, 1, 3, 2, 2, 2, 2, 0, 0, 1, 3, 4, 3, 3, 1, 3, 1, 0, 4, 2, 4, 4, 1, 0, 1, 2, 3, 3, 0, 4, 1, 1, 0, 2, 4, 2, 1, 4, 4, 2, 3, 2, 3, 3, 3, 1, 4, 1, 3, 0, 3, 0, 3, 1, 3, 3, 1, 2, 0, 2, 4, 0, 1, 0, 1, 0, 1, 0, 3, 4, 0, 2, 4, 0, 1, 2, 1, 4, 1, 3, 0, 4, 3, 3, 3, 1, 3, 4, 1, 2, 0, 2, 0, 4, 3, 3, 4, 0, 1, 0, 4, 1, 0, 0, 1, 1, 0, 2, 3, 0, 2, 2, 1, 0, 0, 2, 0, 1, 3, 3, 0, 0, 3, 3, 4, 3, 4, 4, 3, 0, 2, 1, 3, 3, 2, 0, 0, 0, 3, 2, 4, 0, 0, 3, 2, 3, 3, 3, 3, 0, 3, 3, 4, 1, 3, 3, 3, 0, 4, 2, 2, 4, 4, 4, 2, 0, 4, 0, 1, 3, 3, 1, 3, 4, 1, 2, 0, 1, 0, 2, 3, 0, 2, 1, 1, 1, 2, 4, 0, 4, 0, 0, 0, 3, 2, 3, 3, 4, 4, 4, 2, 3, 1, 0, 3, 0, 3, 1, 0, 3, 2, 0, 4, 2, 1, 2, 2, 0, 4, 0, 3, 1, 2] pubkeycol1255 = [2, 0, 0, 3, 1, 4, 3, 2, 3, 4, 3, 4, 0, 0, 2, 4, 0, 3, 3, 4, 1, 2, 4, 3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 1, 4, 2, 1, 2, 3, 1, 1, 0, 0, 3, 3, 0, 4, 2, 2, 0, 3, 3, 4, 0, 3, 3, 4, 0, 2, 4, 2, 2, 0, 4, 3, 0, 4, 1, 1, 0, 1, 2, 0, 4, 2, 4, 4, 3, 4, 3, 3, 0, 1, 2, 3, 3, 2, 1, 4, 0, 2, 1, 4, 2, 1, 2, 4, 3, 2, 3, 0, 2, 1, 4, 1, 3, 2, 2, 4, 0, 0, 2, 1, 1, 2, 1, 1, 4, 1, 4, 3, 4, 2, 1, 0, 3, 0, 1, 4, 0, 4, 1, 3, 3, 0, 3, 1, 3, 3, 1, 0, 3, 4, 4, 3, 0, 0, 3, 2, 4, 1, 3, 0, 3, 1, 2, 1, 2, 1, 4, 4, 3, 4, 2, 0, 0, 1, 3, 2, 0, 2, 4, 0, 4, 2, 2, 0, 3, 4, 2, 3, 1, 4, 3, 1, 0, 3, 4, 4, 1, 1, 3, 1, 4, 0, 4, 4, 4, 0, 4, 4, 3, 3, 1, 2, 2, 0, 4, 3, 1, 2, 3, 1, 2, 0, 3, 2, 3, 1, 0, 4, 4, 0, 4, 1, 2, 1, 3, 0, 3, 1, 2, 3, 1, 1, 3, 3, 1, 1, 2, 3, 3, 1, 2, 2, 2, 0, 4, 3, 2, 4, 1, 2, 0, 0, 2, 4, 1, 2, 4, 2, 4, 0, 1, 4, 2, 3, 0, 0, 2, 3, 1, 3, 2, 1, 1, 4, 2, 1, 4, 4, 1, 4, 3, 1, 2, 3, 2, 1, 4, 0, 2, 4, 4, 4, 1, 3, 0, 2, 4, 1, 2, 3, 4, 1, 2, 3, 2, 2, 2, 3, 4, 4, 1, 1, 3, 3, 2, 1, 2, 1, 3, 1, 4, 0, 2, 2, 1, 4, 3, 0, 4, 3, 4, 3, 1, 3, 3, 3, 4, 3, 0, 2, 2, 0, 4, 4, 3, 1, 0, 0, 1, 0, 3, 4, 0, 2, 4, 1, 4, 2, 0, 4, 3, 2, 1, 0, 2, 0, 3, 1, 1, 3, 2, 4, 4, 3, 2, 1, 2, 0, 1, 2, 3, 3, 2, 3, 1, 1, 2, 1] pubkeycol1256 = [3, 2, 2, 3, 1, 4, 4, 0, 0, 0, 1, 2, 4, 3, 4, 4, 2, 2, 2, 2, 0, 3, 2, 2, 0, 1, 4, 3, 2, 3, 1, 1, 4, 4, 2, 3, 0, 3, 1, 3, 0, 3, 3, 2, 3, 2, 2, 4, 1, 0, 1, 3, 1, 0, 2, 3, 4, 4, 1, 1, 0, 1, 4, 0, 2, 3, 4, 1, 2, 2, 4, 0, 4, 3, 2, 3, 2, 2, 3, 0, 1, 4, 2, 0, 3, 0, 0, 2, 4, 2, 1, 2, 2, 3, 1, 1, 0, 3, 3, 0, 4, 4, 2, 4, 4, 3, 1, 1, 0, 4, 0, 0, 2, 4, 3, 2, 3, 2, 1, 0, 1, 3, 3, 0, 4, 3, 4, 4, 1, 4, 3, 3, 0, 3, 4, 0, 2, 3, 1, 4, 3, 4, 2, 4, 4, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 3, 3, 2, 0, 4, 1, 0, 2, 4, 1, 0, 0, 1, 0, 3, 4, 2, 2, 0, 0, 4, 2, 1, 1, 0, 3, 2, 4, 0, 4, 2, 1, 2, 1, 1, 3, 2, 2, 0, 0, 3, 3, 1, 4, 1, 2, 1, 0, 0, 1, 3, 4, 0, 4, 3, 0, 4, 2, 0, 2, 4, 2, 4, 1, 0, 1, 1, 2, 3, 2, 4, 2, 1, 2, 1, 2, 1, 0, 3, 4, 4, 4, 0, 1, 0, 0, 2, 3, 4, 0, 4, 1, 2, 2, 1, 3, 1, 0, 0, 2, 3, 4, 2, 0, 4, 3, 4, 1, 1, 2, 0, 3, 3, 0, 1, 0, 4, 4, 0, 4, 0, 2, 3, 2, 1, 2, 4, 3, 4, 0, 2, 1, 3, 2, 0, 3, 3, 3, 4, 4, 3, 1, 1, 3, 3, 0, 0, 3, 3, 1, 2, 2, 0, 3, 1, 1, 2, 0, 2, 0, 1, 4, 0, 1, 4, 1, 3, 0, 1, 4, 0, 4, 1, 2, 0, 1, 2, 1, 2, 2, 3, 2, 2, 4, 0, 2, 1, 0, 2, 3, 0, 2, 0, 0, 0, 3, 0, 1, 4, 0, 2, 4, 4, 3, 3, 1, 1, 2, 4, 0, 2, 1, 2, 1, 4, 0, 0, 2, 0, 4, 1, 2, 4, 2, 3, 2, 3, 0, 1, 4, 2, 4, 1, 0, 2, 3, 4, 1, 3, 2, 3, 3, 2, 3, 1] pubkeycol1257 = [1, 2, 2, 0, 0, 2, 2, 3, 0, 2, 4, 2, 1, 0, 3, 3, 0, 3, 2, 3, 2, 4, 4, 3, 4, 3, 4, 1, 0, 0, 3, 4, 1, 0, 2, 1, 1, 4, 4, 3, 1, 4, 4, 3, 3, 3, 2, 1, 2, 0, 1, 3, 2, 2, 3, 1, 2, 3, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 4, 0, 1, 1, 1, 4, 1, 1, 3, 2, 3, 4, 1, 2, 3, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 3, 1, 4, 1, 0, 2, 4, 0, 4, 0, 0, 1, 0, 3, 2, 4, 0, 0, 2, 0, 2, 1, 3, 4, 1, 2, 4, 1, 4, 1, 0, 4, 3, 4, 0, 1, 1, 3, 0, 0, 1, 1, 3, 3, 3, 3, 4, 2, 0, 3, 1, 0, 2, 4, 3, 3, 4, 0, 2, 0, 2, 4, 3, 1, 1, 0, 0, 4, 2, 3, 1, 2, 0, 1, 2, 0, 1, 4, 1, 1, 1, 0, 1, 4, 2, 4, 4, 0, 4, 3, 3, 0, 1, 0, 3, 4, 4, 0, 3, 4, 1, 0, 1, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 1, 0, 4, 1, 4, 1, 3, 0, 4, 3, 3, 4, 0, 2, 2, 2, 0, 0, 3, 0, 4, 4, 3, 0, 2, 1, 3, 1, 0, 3, 1, 1, 0, 1, 4, 3, 3, 0, 4, 0, 1, 0, 1, 4, 3, 3, 1, 3, 1, 3, 2, 4, 2, 4, 1, 2, 2, 1, 2, 2, 4, 1, 0, 4, 4, 0, 0, 1, 4, 1, 4, 0, 2, 3, 4, 2, 4, 2, 1, 0, 1, 3, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 3, 1, 3, 3, 3, 3, 0, 0, 3, 2, 2, 1, 0, 2, 4, 3, 1, 3, 0, 4, 1, 0, 4, 2, 2, 1, 4, 1, 4, 0, 3, 1, 1, 4, 2, 0, 0, 2, 3, 0, 1, 0, 2, 3, 0, 3, 3, 2, 4, 3, 2, 4, 3, 0, 3, 1, 3, 1, 1, 2, 3, 3, 4, 0, 4, 0, 4, 2, 1, 2, 3, 2, 4, 0, 2, 4, 2, 2, 1, 2, 4, 0, 4, 0, 2, 4, 4, 3, 3, 2, 0, 1, 1, 2, 0, 3, 2, 4] pubkeycol1258 = [4, 3, 2, 0, 2, 2, 2, 0, 1, 3, 1, 1, 4, 0, 4, 0, 1, 3, 2, 4, 4, 2, 3, 1, 3, 1, 1, 4, 3, 3, 2, 1, 0, 3, 0, 4, 0, 0, 4, 4, 1, 3, 2, 3, 0, 3, 2, 3, 4, 1, 1, 4, 1, 4, 1, 3, 4, 2, 2, 4, 4, 3, 0, 4, 1, 4, 1, 1, 4, 3, 4, 0, 4, 1, 3, 3, 3, 1, 4, 1, 0, 3, 2, 3, 1, 1, 2, 4, 2, 1, 0, 0, 4, 1, 2, 4, 3, 1, 0, 3, 1, 3, 2, 4, 1, 0, 0, 0, 0, 3, 1, 1, 1, 4, 0, 3, 0, 4, 2, 3, 3, 3, 3, 0, 4, 4, 1, 4, 2, 0, 4, 0, 0, 2, 3, 0, 2, 3, 1, 2, 0, 2, 1, 2, 2, 2, 3, 3, 1, 3, 4, 4, 1, 2, 0, 4, 1, 1, 0, 3, 1, 0, 0, 2, 4, 4, 3, 4, 0, 3, 2, 4, 4, 4, 3, 0, 4, 3, 4, 0, 3, 4, 4, 4, 2, 3, 0, 3, 4, 4, 0, 1, 2, 3, 0, 4, 1, 2, 1, 1, 4, 0, 4, 0, 3, 1, 1, 4, 1, 3, 2, 2, 4, 2, 3, 1, 0, 2, 4, 4, 3, 3, 1, 3, 0, 3, 0, 4, 3, 0, 3, 4, 3, 3, 0, 0, 3, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 3, 3, 4, 2, 1, 1, 1, 0, 2, 2, 4, 0, 4, 3, 4, 0, 4, 0, 0, 2, 1, 4, 1, 1, 4, 1, 0, 1, 1, 4, 0, 0, 4, 4, 3, 3, 4, 4, 0, 0, 0, 3, 2, 2, 3, 4, 0, 1, 0, 4, 3, 4, 3, 0, 0, 4, 2, 2, 3, 2, 2, 3, 0, 0, 0, 4, 0, 0, 1, 4, 1, 1, 3, 1, 2, 1, 2, 3, 0, 4, 2, 1, 3, 4, 0, 4, 2, 1, 0, 0, 1, 0, 1, 3, 0, 2, 1, 3, 1, 2, 2, 2, 3, 2, 4, 4, 4, 0, 4, 1, 3, 0, 1, 2, 0, 3, 4, 1, 3, 0, 4, 2, 1, 4, 1, 0, 2, 4, 4, 2, 2, 0, 4, 0, 3, 0, 4, 2, 3, 1, 3, 1, 4, 1, 0, 1, 2, 1, 4, 0, 1, 0, 0] pubkeycol1259 = [4, 1, 2, 1, 2, 3, 1, 0, 1, 3, 2, 2, 1, 0, 3, 3, 0, 2, 0, 4, 4, 0, 4, 3, 2, 1, 3, 1, 1, 0, 4, 3, 4, 3, 2, 4, 3, 4, 4, 2, 2, 0, 2, 3, 3, 2, 4, 2, 4, 0, 3, 3, 0, 2, 2, 1, 0, 3, 0, 1, 1, 4, 1, 4, 2, 3, 2, 3, 4, 0, 4, 1, 3, 3, 2, 3, 2, 4, 4, 4, 2, 4, 2, 4, 0, 4, 2, 3, 1, 4, 3, 3, 4, 1, 1, 0, 0, 0, 4, 3, 0, 1, 3, 0, 1, 3, 3, 3, 1, 0, 4, 1, 1, 2, 3, 4, 4, 1, 0, 3, 0, 4, 2, 1, 0, 1, 1, 2, 1, 1, 4, 1, 0, 4, 3, 4, 4, 4, 1, 3, 0, 1, 0, 1, 1, 2, 3, 1, 2, 4, 3, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 2, 0, 3, 3, 1, 0, 1, 2, 1, 4, 3, 0, 0, 1, 0, 3, 2, 2, 1, 4, 3, 3, 3, 4, 2, 3, 1, 1, 1, 4, 3, 2, 3, 4, 3, 3, 1, 1, 4, 0, 4, 0, 1, 0, 3, 3, 3, 1, 2, 3, 0, 2, 4, 2, 4, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 3, 2, 4, 3, 0, 0, 0, 0, 3, 3, 1, 1, 0, 1, 4, 1, 1, 1, 4, 3, 0, 2, 4, 4, 0, 2, 1, 2, 2, 3, 2, 4, 3, 3, 4, 1, 4, 0, 3, 0, 4, 4, 2, 1, 1, 2, 3, 3, 2, 4, 2, 4, 4, 2, 1, 0, 3, 0, 3, 3, 0, 0, 0, 2, 1, 3, 2, 2, 0, 3, 0, 4, 0, 2, 2, 0, 2, 2, 4, 1, 0, 3, 2, 4, 2, 4, 1, 0, 0, 2, 2, 4, 2, 3, 3, 0, 4, 2, 2, 0, 1, 4, 0, 3, 2, 4, 0, 3, 3, 3, 0, 3, 4, 3, 4, 2, 0, 2, 4, 1, 4, 2, 4, 2, 2, 4, 1, 1, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 2, 4, 1, 3, 1, 2, 1, 4, 1, 1, 3, 1, 2, 2, 2, 0, 0, 3, 4, 3, 3, 2, 4, 2, 3, 3, 4, 2, 2, 0, 1, 1, 3, 1] pubkeycol1260 = [2, 2, 1, 2, 4, 1, 4, 3, 0, 2, 4, 3, 4, 1, 1, 0, 2, 4, 3, 3, 4, 3, 3, 3, 3, 4, 0, 2, 0, 2, 1, 4, 1, 1, 3, 1, 4, 1, 3, 0, 0, 3, 4, 3, 1, 3, 4, 1, 1, 2, 1, 2, 1, 3, 2, 3, 3, 1, 3, 4, 0, 4, 2, 1, 4, 4, 1, 0, 2, 0, 0, 1, 2, 3, 1, 4, 2, 2, 0, 1, 2, 3, 4, 4, 1, 1, 1, 1, 2, 3, 4, 0, 0, 3, 2, 0, 3, 2, 0, 3, 2, 4, 3, 0, 1, 4, 2, 2, 0, 4, 2, 4, 4, 4, 0, 0, 4, 4, 0, 2, 0, 3, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 3, 0, 1, 0, 4, 1, 4, 1, 3, 3, 4, 2, 0, 3, 4, 3, 2, 0, 3, 0, 2, 2, 2, 2, 2, 0, 3, 0, 1, 0, 2, 3, 1, 0, 2, 0, 1, 2, 4, 3, 1, 1, 4, 2, 2, 2, 2, 1, 4, 4, 3, 3, 0, 1, 3, 0, 2, 4, 4, 3, 2, 2, 3, 0, 0, 4, 2, 2, 4, 0, 2, 2, 0, 4, 0, 1, 1, 4, 3, 2, 3, 1, 3, 4, 0, 0, 1, 0, 0, 4, 3, 3, 0, 1, 1, 2, 3, 3, 1, 0, 3, 2, 0, 2, 1, 3, 0, 0, 0, 4, 2, 0, 0, 0, 1, 2, 3, 0, 0, 3, 1, 2, 2, 3, 2, 4, 1, 3, 1, 2, 1, 4, 1, 2, 3, 0, 3, 3, 4, 2, 0, 1, 4, 3, 3, 2, 2, 4, 0, 1, 1, 1, 1, 1, 3, 0, 1, 0, 4, 2, 3, 0, 2, 2, 4, 1, 2, 4, 0, 4, 2, 1, 2, 4, 2, 1, 0, 4, 0, 3, 3, 0, 4, 1, 4, 4, 1, 3, 2, 3, 0, 3, 3, 3, 3, 4, 4, 0, 2, 3, 2, 4, 2, 3, 0, 1, 3, 0, 1, 1, 3, 2, 1, 4, 1, 4, 2, 0, 1, 0, 2, 3, 2, 4, 2, 0, 2, 4, 2, 1, 1, 1, 3, 2, 1, 1, 0, 4, 4, 3, 3, 0, 4, 2, 0, 4, 2, 2, 2, 3, 1, 1, 1, 2, 2, 3, 4, 2, 1, 0, 3, 1, 1, 4, 0, 3] pubkeycol1261 = [1, 2, 3, 3, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 0, 1, 0, 4, 0, 3, 0, 4, 4, 2, 1, 4, 3, 3, 4, 3, 4, 0, 2, 0, 4, 3, 0, 2, 1, 0, 2, 4, 2, 1, 0, 1, 4, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 0, 3, 3, 1, 4, 4, 4, 4, 3, 3, 0, 0, 4, 2, 1, 2, 4, 4, 1, 2, 0, 2, 2, 4, 4, 0, 0, 2, 0, 3, 0, 2, 4, 4, 0, 0, 0, 0, 2, 3, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 0, 3, 0, 4, 3, 0, 4, 1, 0, 0, 0, 2, 0, 2, 3, 4, 2, 3, 0, 2, 1, 0, 4, 1, 4, 3, 3, 3, 3, 4, 4, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 3, 0, 2, 3, 2, 2, 4, 1, 3, 2, 4, 3, 2, 2, 3, 3, 1, 0, 3, 4, 0, 1, 4, 1, 3, 4, 3, 1, 2, 4, 2, 2, 4, 3, 3, 3, 4, 2, 4, 4, 4, 2, 4, 1, 0, 2, 3, 3, 0, 2, 0, 0, 4, 4, 4, 1, 4, 2, 2, 1, 3, 3, 3, 4, 4, 2, 1, 4, 1, 0, 3, 1, 1, 2, 2, 3, 2, 3, 3, 2, 4, 2, 2, 2, 1, 1, 0, 2, 0, 4, 3, 0, 3, 4, 1, 0, 0, 0, 4, 0, 2, 2, 4, 4, 0, 2, 2, 3, 0, 3, 3, 0, 2, 4, 3, 3, 1, 2, 2, 1, 2, 0, 2, 2, 3, 2, 3, 4, 2, 2, 0, 4, 3, 0, 4, 2, 1, 0, 3, 3, 1, 3, 3, 4, 1, 0, 4, 1, 2, 2, 3, 3, 2, 3, 3, 2, 1, 0, 1, 0, 0, 4, 1, 0, 0, 2, 4, 0, 3, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 3, 1, 0, 0, 3, 4, 3, 3, 0, 2, 0, 1, 3, 2, 2, 1, 4, 3, 3, 2, 4, 1, 2, 2, 3, 1, 4, 2, 1, 4, 1, 0, 4, 0, 1, 4, 0, 0, 2, 1, 2, 4, 2, 1, 4, 2, 0, 4, 0, 0, 4, 2, 0, 3, 2, 2, 4, 2, 1, 4, 2, 3, 1, 4, 4, 0] pubkeycol1262 = [0, 4, 3, 0, 2, 1, 0, 0, 1, 3, 1, 2, 1, 1, 3, 4, 2, 0, 2, 0, 2, 3, 4, 4, 3, 0, 3, 1, 4, 3, 2, 4, 3, 4, 1, 3, 3, 4, 0, 2, 1, 2, 1, 1, 1, 1, 2, 3, 4, 2, 0, 0, 1, 2, 4, 2, 0, 3, 4, 3, 0, 4, 4, 4, 4, 2, 0, 4, 0, 1, 1, 1, 2, 2, 0, 2, 2, 4, 4, 2, 4, 2, 1, 2, 0, 4, 2, 4, 0, 0, 2, 4, 1, 0, 3, 3, 4, 2, 2, 3, 2, 3, 1, 2, 3, 4, 1, 3, 4, 3, 4, 1, 4, 1, 4, 1, 1, 1, 3, 3, 2, 4, 3, 4, 2, 1, 1, 1, 0, 4, 1, 3, 3, 1, 4, 2, 3, 4, 2, 2, 1, 3, 2, 3, 2, 3, 2, 0, 1, 2, 1, 4, 4, 1, 2, 0, 4, 3, 2, 3, 0, 3, 3, 4, 3, 2, 2, 2, 1, 1, 2, 4, 3, 0, 4, 0, 1, 0, 0, 0, 1, 0, 4, 2, 0, 0, 2, 1, 1, 0, 3, 2, 0, 4, 4, 4, 2, 1, 2, 3, 4, 4, 1, 1, 2, 1, 3, 3, 1, 4, 2, 3, 4, 3, 1, 3, 0, 0, 0, 0, 0, 1, 3, 0, 4, 1, 4, 2, 4, 2, 2, 0, 3, 3, 2, 0, 2, 1, 3, 2, 1, 4, 0, 1, 4, 1, 2, 2, 2, 1, 3, 4, 4, 0, 4, 4, 1, 3, 2, 3, 2, 4, 1, 1, 2, 2, 3, 4, 4, 0, 0, 4, 1, 4, 0, 1, 4, 4, 4, 2, 0, 4, 2, 3, 0, 0, 4, 4, 4, 4, 1, 2, 4, 3, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 4, 0, 0, 3, 3, 1, 2, 1, 1, 4, 0, 2, 2, 1, 2, 1, 3, 3, 2, 0, 0, 4, 0, 3, 2, 4, 0, 2, 3, 0, 0, 1, 0, 3, 4, 3, 2, 1, 4, 1, 4, 4, 1, 0, 1, 3, 0, 0, 4, 3, 2, 2, 2, 2, 2, 4, 0, 1, 2, 4, 3, 3, 1, 2, 0, 4, 1, 4, 0, 2, 2, 3, 3, 1, 2, 0, 4, 4, 1, 1, 3, 2, 0, 0, 4, 1, 1, 0, 2, 2, 4, 2, 1, 0, 2, 4] pubkeycol1263 = [3, 0, 3, 4, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 3, 2, 0, 4, 1, 4, 1, 0, 1, 0, 2, 3, 2, 0, 4, 2, 4, 3, 4, 2, 3, 2, 0, 0, 4, 4, 2, 2, 4, 1, 1, 4, 0, 3, 4, 1, 3, 4, 3, 0, 4, 2, 2, 4, 0, 3, 4, 0, 1, 4, 2, 0, 2, 3, 2, 4, 2, 3, 2, 0, 3, 4, 4, 0, 4, 1, 1, 2, 0, 1, 1, 4, 1, 4, 0, 4, 4, 4, 1, 0, 3, 1, 4, 1, 0, 1, 0, 0, 4, 3, 3, 4, 0, 3, 3, 3, 2, 0, 1, 2, 1, 4, 0, 1, 4, 3, 0, 3, 4, 0, 4, 4, 2, 1, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 2, 4, 3, 4, 2, 4, 2, 3, 3, 1, 0, 3, 0, 4, 3, 4, 0, 4, 4, 2, 2, 0, 3, 2, 0, 3, 2, 3, 4, 4, 4, 0, 1, 0, 1, 4, 3, 0, 0, 1, 3, 1, 3, 3, 4, 3, 3, 0, 2, 0, 1, 0, 1, 3, 2, 3, 2, 1, 0, 3, 1, 0, 2, 4, 3, 2, 2, 3, 2, 2, 0, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 3, 1, 1, 0, 0, 2, 4, 3, 2, 3, 4, 0, 0, 0, 1, 0, 2, 2, 0, 4, 3, 0, 2, 1, 1, 1, 1, 2, 1, 4, 0, 1, 4, 1, 1, 3, 2, 4, 1, 1, 1, 3, 2, 0, 0, 4, 2, 3, 3, 3, 0, 4, 4, 2, 0, 4, 3, 2, 3, 0, 0, 1, 3, 1, 0, 1, 1, 3, 4, 2, 4, 3, 0, 3, 0, 3, 1, 0, 4, 0, 4, 0, 4, 3, 0, 4, 2, 3, 3, 4, 3, 1, 4, 4, 0, 2, 3, 2, 4, 4, 2, 0, 0, 3, 4, 2, 0, 1, 4, 0, 3, 3, 2, 2, 0, 4, 3, 0, 2, 1, 3, 1, 0, 2, 1, 1, 2, 4, 4, 1, 2, 1, 4, 4, 3, 4, 4, 2, 0, 3, 3, 3, 4, 1, 0, 4, 4, 2, 4, 1, 0, 0, 2, 1, 3, 4, 1, 1, 0, 0, 0, 4, 3, 1, 3, 0, 3, 2, 4, 1, 2, 2, 4, 3, 0, 0, 2, 2, 1, 4, 2] pubkeycol1264 = [0, 0, 4, 2, 0, 1, 0, 1, 3, 2, 3, 4, 3, 4, 0, 0, 3, 1, 4, 1, 3, 4, 2, 2, 3, 2, 2, 4, 4, 0, 3, 4, 1, 4, 0, 2, 1, 1, 0, 4, 1, 4, 1, 4, 0, 0, 1, 4, 4, 4, 4, 2, 1, 4, 0, 1, 2, 1, 4, 4, 0, 1, 3, 1, 0, 1, 2, 4, 4, 2, 2, 2, 4, 4, 0, 0, 3, 2, 1, 4, 2, 1, 1, 1, 3, 4, 2, 1, 4, 1, 3, 1, 0, 3, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 3, 4, 0, 1, 0, 3, 3, 4, 2, 0, 2, 0, 1, 4, 3, 1, 4, 3, 0, 4, 4, 2, 0, 1, 1, 2, 1, 0, 1, 0, 3, 3, 0, 1, 4, 0, 1, 3, 4, 0, 3, 4, 2, 3, 1, 1, 1, 4, 3, 1, 0, 2, 3, 3, 1, 2, 4, 1, 3, 3, 4, 2, 4, 1, 0, 3, 3, 1, 3, 0, 0, 4, 4, 3, 0, 4, 1, 0, 2, 1, 2, 1, 3, 2, 0, 4, 4, 4, 1, 3, 2, 4, 3, 3, 1, 4, 3, 4, 4, 2, 1, 3, 2, 1, 1, 2, 3, 2, 1, 4, 2, 2, 1, 1, 3, 4, 1, 3, 4, 2, 1, 1, 4, 1, 3, 0, 4, 0, 2, 1, 1, 1, 2, 0, 3, 1, 2, 3, 1, 0, 3, 2, 4, 1, 3, 1, 4, 3, 1, 0, 2, 3, 0, 4, 1, 1, 4, 4, 1, 4, 4, 0, 2, 0, 0, 0, 4, 3, 0, 2, 3, 0, 2, 0, 0, 4, 3, 0, 0, 3, 2, 4, 0, 1, 0, 1, 1, 4, 0, 3, 2, 4, 1, 1, 1, 4, 2, 2, 0, 2, 0, 0, 2, 3, 2, 4, 2, 0, 1, 0, 3, 0, 1, 1, 0, 1, 3, 1, 0, 4, 1, 4, 3, 4, 1, 1, 1, 2, 3, 1, 3, 4, 4, 3, 0, 0, 2, 0, 2, 1, 3, 1, 1, 0, 3, 0, 2, 3, 0, 4, 0, 0, 3, 4, 0, 2, 0, 3, 0, 3, 1, 0, 4, 3, 0, 2, 3, 4, 3, 1, 3, 2, 0, 1, 4, 2, 4, 0, 3, 4, 2, 2, 3, 0, 0, 3, 4, 0, 0, 4, 2, 0, 0, 3, 3] pubkeycol1265 = [1, 3, 1, 4, 4, 0, 2, 4, 1, 2, 2, 3, 1, 4, 4, 3, 1, 3, 4, 4, 0, 3, 2, 0, 2, 1, 2, 3, 1, 0, 3, 3, 1, 4, 4, 3, 0, 4, 0, 0, 4, 2, 2, 0, 0, 0, 2, 0, 2, 3, 1, 1, 1, 1, 2, 0, 3, 0, 3, 3, 0, 2, 4, 1, 3, 1, 4, 2, 0, 2, 3, 4, 4, 2, 2, 3, 1, 0, 4, 1, 1, 2, 2, 2, 3, 4, 3, 1, 4, 2, 1, 3, 4, 4, 3, 4, 2, 2, 4, 2, 2, 2, 3, 0, 4, 2, 4, 4, 2, 1, 2, 0, 3, 4, 0, 1, 3, 0, 3, 1, 2, 2, 4, 0, 2, 3, 1, 4, 2, 3, 0, 0, 0, 1, 2, 3, 4, 2, 1, 1, 1, 3, 1, 3, 1, 2, 0, 0, 0, 3, 4, 2, 1, 3, 1, 0, 3, 0, 2, 1, 2, 4, 4, 2, 4, 4, 4, 4, 0, 1, 2, 4, 0, 2, 3, 3, 0, 0, 4, 1, 2, 1, 0, 2, 3, 2, 3, 4, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 4, 4, 0, 2, 3, 1, 0, 4, 3, 2, 3, 3, 4, 1, 4, 2, 4, 2, 0, 4, 1, 3, 0, 4, 2, 2, 3, 3, 4, 1, 0, 2, 1, 0, 3, 1, 2, 0, 3, 3, 2, 3, 0, 0, 1, 4, 1, 3, 0, 2, 0, 2, 1, 3, 4, 4, 3, 4, 1, 0, 0, 2, 1, 3, 3, 0, 1, 1, 1, 4, 4, 1, 0, 1, 4, 2, 1, 2, 1, 1, 4, 3, 2, 3, 0, 0, 2, 0, 2, 4, 4, 4, 0, 3, 0, 2, 4, 2, 3, 1, 1, 4, 1, 2, 2, 4, 2, 0, 0, 3, 0, 0, 1, 3, 0, 3, 3, 1, 1, 1, 1, 3, 2, 0, 2, 3, 0, 1, 3, 4, 0, 0, 4, 0, 4, 1, 1, 1, 4, 1, 3, 0, 4, 4, 1, 2, 0, 4, 0, 3, 0, 3, 0, 4, 3, 1, 2, 1, 1, 1, 0, 4, 1, 1, 3, 3, 3, 0, 2, 0, 0, 2, 0, 0, 2, 4, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 3, 4, 1, 2, 4, 2, 4] pubkeycol1266 = [2, 4, 0, 3, 2, 2, 4, 4, 2, 0, 3, 1, 4, 2, 3, 4, 3, 4, 3, 1, 4, 4, 4, 0, 3, 4, 1, 4, 2, 1, 1, 4, 4, 3, 0, 0, 0, 3, 0, 0, 1, 0, 4, 2, 0, 3, 2, 2, 0, 1, 3, 3, 3, 3, 4, 3, 1, 4, 3, 4, 4, 3, 2, 3, 1, 1, 3, 2, 0, 1, 4, 2, 0, 3, 2, 1, 4, 1, 2, 0, 3, 2, 3, 3, 0, 0, 1, 1, 3, 0, 2, 3, 1, 3, 4, 3, 4, 4, 2, 3, 2, 4, 0, 4, 2, 0, 4, 4, 4, 3, 4, 1, 3, 3, 3, 4, 2, 1, 4, 2, 1, 4, 4, 4, 0, 0, 0, 4, 0, 1, 0, 4, 0, 4, 2, 1, 4, 1, 3, 3, 4, 2, 3, 4, 3, 0, 3, 2, 2, 1, 2, 3, 0, 4, 3, 0, 0, 2, 3, 3, 2, 2, 0, 2, 4, 3, 0, 2, 3, 0, 3, 2, 0, 1, 3, 4, 2, 0, 2, 4, 2, 1, 2, 2, 1, 1, 4, 2, 1, 3, 1, 1, 2, 3, 2, 2, 3, 4, 2, 0, 3, 4, 0, 2, 0, 0, 3, 2, 2, 2, 0, 3, 4, 2, 4, 0, 1, 0, 1, 3, 1, 4, 2, 4, 4, 2, 0, 4, 0, 0, 2, 0, 4, 4, 3, 2, 1, 0, 2, 3, 0, 3, 3, 1, 3, 3, 0, 0, 3, 3, 0, 4, 2, 2, 4, 3, 0, 1, 4, 1, 3, 1, 4, 3, 2, 3, 3, 3, 1, 3, 0, 0, 4, 3, 1, 2, 3, 4, 4, 2, 3, 3, 3, 1, 1, 4, 3, 1, 2, 3, 2, 4, 1, 2, 1, 0, 1, 2, 4, 2, 4, 0, 2, 3, 1, 4, 1, 3, 1, 2, 3, 4, 1, 0, 0, 0, 4, 3, 0, 3, 2, 4, 2, 1, 4, 2, 1, 1, 2, 1, 2, 3, 3, 3, 1, 1, 4, 2, 3, 0, 2, 1, 3, 2, 1, 4, 0, 4, 0, 3, 3, 4, 1, 1, 4, 2, 3, 0, 3, 2, 2, 1, 0, 2, 3, 1, 2, 3, 4, 1, 1, 1, 4, 4, 4, 2, 4, 3, 3, 4, 3, 0, 3, 0, 3, 1, 4, 0, 1, 4, 0, 3, 3, 4, 4, 2, 2, 0, 2, 3] pubkeycol1267 = [0, 0, 2, 2, 1, 4, 4, 3, 3, 0, 3, 0, 3, 2, 3, 0, 1, 2, 3, 1, 3, 4, 1, 4, 3, 4, 0, 3, 0, 1, 1, 1, 2, 2, 0, 3, 1, 1, 0, 0, 2, 4, 1, 0, 3, 2, 3, 4, 3, 0, 0, 2, 2, 3, 2, 2, 3, 1, 4, 4, 1, 2, 1, 0, 1, 2, 3, 3, 0, 0, 0, 1, 2, 2, 3, 0, 0, 1, 2, 0, 2, 4, 2, 2, 2, 0, 2, 1, 4, 0, 0, 2, 2, 4, 4, 3, 1, 0, 3, 2, 1, 4, 4, 3, 0, 1, 4, 0, 1, 0, 2, 0, 2, 1, 1, 4, 2, 3, 0, 1, 2, 2, 4, 3, 2, 4, 4, 2, 2, 1, 3, 4, 0, 4, 4, 0, 4, 1, 0, 2, 3, 1, 3, 4, 1, 1, 3, 2, 2, 2, 1, 2, 1, 3, 1, 2, 0, 4, 1, 1, 1, 2, 2, 0, 1, 0, 3, 1, 4, 3, 2, 3, 4, 0, 4, 1, 4, 4, 4, 3, 0, 0, 1, 1, 1, 1, 4, 1, 3, 2, 3, 4, 2, 0, 1, 2, 0, 4, 4, 3, 4, 0, 0, 1, 1, 4, 4, 4, 4, 3, 1, 1, 1, 2, 2, 3, 4, 1, 3, 3, 3, 2, 2, 2, 0, 0, 0, 4, 1, 4, 0, 1, 0, 2, 1, 3, 1, 2, 3, 2, 4, 3, 1, 2, 2, 2, 3, 4, 3, 2, 4, 3, 0, 4, 3, 0, 2, 0, 0, 0, 3, 1, 2, 4, 2, 4, 4, 1, 2, 1, 2, 0, 1, 3, 1, 2, 3, 1, 4, 1, 4, 4, 2, 1, 1, 0, 0, 0, 4, 0, 2, 3, 0, 4, 3, 3, 4, 1, 2, 2, 3, 4, 2, 0, 0, 2, 2, 0, 0, 0, 4, 0, 0, 1, 4, 4, 2, 0, 4, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 2, 3, 0, 2, 4, 3, 4, 2, 3, 4, 0, 3, 0, 3, 2, 3, 0, 0, 3, 1, 4, 1, 4, 3, 4, 0, 3, 1, 4, 3, 1, 3, 0, 0, 1, 3, 0, 2, 1, 2, 1, 3, 3, 2, 0, 4, 2, 0, 3, 3, 2, 0, 0, 0, 3, 2, 0, 1, 3, 4, 2, 0, 3, 2, 3, 2, 0, 3, 0, 3, 2] pubkeycol1268 = [3, 1, 0, 1, 3, 1, 1, 3, 4, 3, 4, 0, 1, 3, 3, 4, 4, 0, 2, 4, 0, 0, 1, 3, 4, 0, 1, 4, 0, 1, 4, 2, 1, 0, 2, 2, 2, 4, 2, 4, 0, 1, 4, 1, 2, 1, 1, 4, 0, 1, 1, 4, 0, 4, 4, 0, 2, 0, 3, 0, 4, 3, 2, 2, 3, 2, 1, 0, 4, 2, 2, 0, 0, 0, 3, 1, 2, 2, 3, 3, 4, 1, 4, 0, 1, 1, 4, 2, 2, 0, 3, 1, 2, 4, 3, 4, 4, 0, 1, 0, 2, 3, 3, 3, 1, 1, 0, 2, 1, 0, 0, 4, 3, 0, 3, 2, 2, 0, 0, 3, 3, 1, 2, 4, 0, 1, 4, 1, 4, 0, 1, 0, 4, 2, 1, 2, 4, 1, 3, 1, 2, 0, 0, 2, 0, 4, 3, 3, 1, 2, 2, 3, 3, 2, 2, 4, 3, 0, 3, 1, 4, 3, 1, 3, 1, 0, 2, 0, 2, 4, 1, 1, 0, 4, 0, 0, 3, 3, 2, 3, 1, 0, 1, 3, 4, 3, 0, 2, 4, 4, 1, 4, 1, 2, 3, 4, 2, 4, 4, 0, 4, 0, 2, 0, 4, 1, 2, 3, 1, 1, 2, 3, 2, 0, 0, 1, 3, 4, 2, 0, 0, 4, 4, 4, 1, 3, 0, 3, 2, 4, 0, 0, 2, 0, 3, 0, 1, 4, 1, 0, 3, 0, 1, 3, 3, 2, 4, 3, 1, 3, 3, 2, 4, 1, 2, 2, 4, 3, 2, 2, 3, 2, 2, 2, 0, 2, 3, 4, 1, 3, 3, 1, 3, 0, 1, 4, 2, 4, 0, 3, 3, 3, 1, 0, 3, 0, 0, 1, 2, 3, 4, 0, 1, 0, 0, 4, 4, 4, 1, 4, 2, 0, 1, 0, 3, 0, 1, 4, 1, 0, 2, 4, 3, 2, 1, 2, 3, 1, 4, 2, 1, 1, 3, 2, 0, 4, 4, 3, 3, 4, 1, 3, 2, 3, 1, 3, 0, 2, 0, 2, 4, 4, 1, 3, 4, 4, 1, 0, 0, 3, 1, 2, 0, 0, 4, 2, 3, 4, 4, 3, 0, 3, 3, 4, 0, 2, 0, 3, 2, 0, 3, 3, 0, 0, 2, 2, 1, 3, 3, 4, 2, 1, 4, 4, 2, 0, 1, 3, 1, 0, 4, 4, 1, 0, 4, 4, 1, 0, 3, 4] pubkeycol1269 = [3, 4, 0, 4, 2, 0, 3, 0, 2, 1, 3, 0, 4, 0, 2, 1, 2, 0, 4, 1, 2, 0, 0, 4, 4, 1, 1, 1, 4, 1, 2, 1, 3, 1, 3, 2, 4, 0, 3, 4, 4, 2, 2, 3, 2, 2, 3, 2, 0, 3, 2, 0, 4, 3, 1, 2, 0, 4, 1, 2, 2, 1, 1, 0, 3, 0, 0, 4, 4, 2, 3, 4, 2, 2, 1, 0, 4, 0, 1, 3, 1, 0, 0, 3, 3, 2, 1, 2, 1, 2, 4, 2, 2, 0, 1, 4, 0, 3, 4, 0, 3, 2, 1, 4, 2, 1, 4, 1, 3, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 4, 0, 3, 3, 0, 2, 3, 3, 3, 2, 4, 2, 3, 4, 2, 2, 3, 1, 0, 3, 4, 0, 2, 2, 3, 3, 4, 1, 0, 1, 4, 0, 4, 1, 3, 2, 0, 2, 1, 3, 1, 3, 3, 3, 2, 1, 1, 2, 4, 1, 0, 0, 3, 0, 3, 2, 1, 4, 1, 1, 0, 0, 4, 1, 3, 0, 0, 1, 0, 2, 0, 4, 1, 2, 4, 1, 0, 1, 0, 0, 2, 4, 1, 2, 0, 2, 1, 0, 4, 2, 4, 1, 4, 2, 0, 2, 4, 0, 0, 1, 3, 1, 4, 4, 0, 1, 3, 1, 4, 2, 1, 2, 3, 0, 3, 4, 1, 0, 1, 2, 4, 2, 3, 2, 4, 0, 3, 2, 0, 3, 4, 1, 0, 4, 2, 0, 3, 2, 2, 0, 1, 1, 0, 1, 4, 4, 4, 0, 4, 3, 3, 0, 1, 2, 3, 0, 0, 2, 4, 3, 2, 4, 2, 0, 4, 3, 1, 3, 2, 0, 0, 0, 4, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 4, 1, 4, 0, 4, 4, 1, 0, 3, 4, 4, 1, 2, 1, 1, 3, 1, 3, 1, 0, 4, 4, 3, 2, 2, 2, 0, 1, 4, 1, 3, 1, 4, 2, 1, 1, 2, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 3, 2, 2, 3, 1, 4, 1, 0, 1, 3, 3, 2, 1, 1, 0, 3, 3, 3, 1, 2, 3, 3, 0, 1, 4, 3, 2, 1, 0, 1, 4, 2, 3, 1, 4, 0, 1, 3, 4, 3, 3, 3, 4, 2, 2, 4, 1] pubkeycol1270 = [2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 4, 3, 0, 2, 2, 3, 0, 4, 2, 0, 4, 4, 2, 3, 0, 1, 2, 1, 4, 2, 4, 4, 0, 0, 0, 4, 2, 1, 2, 0, 3, 0, 3, 3, 0, 4, 1, 3, 4, 1, 1, 4, 1, 0, 4, 2, 3, 1, 1, 4, 1, 0, 4, 3, 4, 2, 2, 4, 0, 3, 0, 4, 1, 4, 2, 2, 0, 0, 2, 4, 3, 3, 4, 0, 0, 4, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 4, 4, 2, 0, 4, 2, 4, 2, 2, 3, 1, 3, 1, 1, 0, 4, 0, 0, 4, 4, 2, 4, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4, 3, 4, 3, 3, 2, 3, 0, 0, 2, 4, 1, 0, 4, 0, 3, 0, 2, 1, 2, 2, 4, 3, 3, 3, 3, 4, 4, 0, 4, 0, 2, 3, 1, 4, 4, 0, 4, 0, 0, 2, 3, 0, 3, 1, 1, 1, 0, 0, 0, 4, 0, 2, 2, 2, 4, 1, 1, 1, 3, 1, 2, 3, 1, 1, 4, 2, 3, 3, 0, 1, 0, 2, 3, 2, 2, 0, 2, 2, 2, 3, 3, 3, 3, 0, 1, 3, 2, 0, 2, 4, 2, 2, 2, 3, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 1, 4, 3, 4, 4, 2, 4, 1, 1, 1, 2, 0, 3, 1, 2, 2, 4, 2, 3, 1, 0, 2, 1, 3, 3, 4, 2, 4, 2, 0, 1, 1, 0, 0, 4, 4, 2, 1, 4, 0, 2, 3, 4, 3, 3, 1, 0, 1, 4, 0, 1, 0, 3, 4, 1, 2, 2, 1, 1, 2, 2, 4, 3, 0, 3, 3, 4, 4, 1, 4, 4, 2, 0, 3, 3, 1, 3, 1, 3, 3, 0, 1, 0, 2, 1, 3, 3, 4, 2, 1, 1, 4, 4, 4, 0, 3, 2, 4, 2, 3, 2, 0, 0, 4, 1, 4, 1, 0, 4, 1, 3, 0, 0, 0, 4, 2, 1, 4, 3, 1, 3, 2, 0, 3, 4, 4, 3, 4, 4, 3, 1, 3, 2, 1, 2, 0, 0, 4, 4, 2, 1, 3, 3, 1, 0, 1, 3, 1, 1, 4, 3, 1, 1, 2, 4, 3, 3, 4, 4, 1] pubkeycol1271 = [4, 0, 3, 1, 2, 3, 2, 0, 0, 3, 2, 1, 1, 2, 4, 2, 3, 0, 2, 2, 2, 4, 2, 1, 3, 2, 4, 3, 3, 2, 1, 2, 1, 4, 3, 2, 2, 3, 0, 3, 1, 4, 0, 4, 2, 4, 0, 3, 1, 4, 1, 1, 3, 3, 4, 1, 0, 1, 2, 3, 2, 1, 3, 0, 0, 0, 4, 3, 4, 0, 4, 1, 1, 2, 1, 2, 1, 2, 4, 2, 4, 3, 4, 3, 2, 0, 4, 3, 4, 0, 2, 4, 0, 4, 2, 1, 2, 1, 3, 2, 4, 1, 2, 3, 3, 4, 3, 1, 2, 2, 0, 2, 3, 3, 1, 1, 1, 2, 0, 0, 4, 1, 4, 3, 1, 2, 1, 4, 4, 3, 4, 2, 2, 1, 0, 3, 2, 3, 4, 2, 3, 0, 4, 1, 2, 2, 0, 2, 3, 1, 4, 0, 0, 0, 0, 3, 0, 3, 2, 4, 2, 2, 0, 3, 1, 0, 3, 3, 3, 4, 3, 4, 3, 1, 2, 0, 1, 3, 0, 4, 0, 0, 2, 1, 3, 1, 0, 2, 3, 0, 3, 0, 3, 4, 2, 2, 2, 4, 0, 2, 3, 1, 0, 3, 4, 0, 2, 2, 1, 3, 0, 4, 3, 1, 0, 4, 4, 0, 3, 1, 1, 0, 1, 2, 0, 4, 3, 4, 1, 1, 3, 1, 1, 0, 1, 3, 2, 1, 2, 2, 4, 1, 1, 1, 4, 2, 1, 2, 2, 4, 4, 0, 3, 1, 2, 4, 3, 2, 0, 0, 3, 1, 3, 2, 2, 1, 3, 0, 3, 2, 1, 0, 0, 1, 1, 0, 3, 1, 3, 3, 4, 4, 2, 1, 1, 2, 1, 1, 3, 0, 1, 0, 3, 0, 4, 2, 3, 0, 0, 1, 3, 4, 1, 1, 3, 3, 0, 4, 0, 1, 4, 4, 4, 0, 3, 1, 4, 3, 2, 0, 4, 4, 1, 1, 1, 2, 3, 2, 0, 0, 1, 1, 3, 0, 3, 4, 2, 0, 4, 2, 1, 0, 2, 2, 2, 4, 2, 0, 1, 3, 4, 2, 4, 0, 2, 1, 2, 2, 3, 4, 3, 2, 4, 4, 3, 3, 2, 0, 4, 3, 4, 0, 4, 1, 4, 4, 2, 0, 1, 0, 1, 3, 1, 0, 1, 0, 4, 0, 2, 4, 2, 3, 2, 1, 0, 1, 2, 4, 4, 0] pubkeycol1272 = [3, 4, 4, 0, 2, 0, 1, 3, 2, 2, 2, 0, 0, 4, 1, 4, 0, 4, 1, 4, 0, 1, 3, 1, 0, 4, 1, 3, 0, 3, 0, 2, 4, 2, 0, 0, 0, 2, 1, 2, 0, 3, 2, 2, 1, 2, 1, 0, 3, 2, 4, 3, 0, 1, 4, 1, 4, 0, 1, 0, 1, 0, 3, 3, 0, 2, 0, 3, 0, 2, 2, 1, 4, 1, 1, 0, 0, 3, 1, 0, 2, 0, 1, 0, 2, 3, 3, 0, 0, 1, 4, 3, 3, 2, 4, 0, 3, 4, 2, 4, 4, 1, 1, 4, 2, 2, 1, 4, 0, 2, 4, 0, 3, 1, 1, 4, 2, 3, 0, 4, 4, 0, 3, 0, 3, 1, 0, 2, 1, 0, 3, 3, 0, 1, 4, 3, 0, 3, 0, 2, 0, 3, 1, 3, 2, 4, 3, 2, 2, 1, 3, 3, 0, 4, 3, 1, 3, 3, 1, 2, 0, 1, 0, 3, 4, 3, 2, 2, 1, 1, 0, 1, 3, 3, 1, 1, 3, 4, 0, 4, 1, 4, 1, 3, 0, 2, 3, 1, 2, 0, 2, 2, 2, 1, 0, 4, 3, 3, 2, 1, 2, 1, 1, 2, 4, 3, 1, 1, 0, 2, 3, 2, 0, 4, 1, 1, 3, 3, 1, 2, 2, 4, 2, 2, 3, 1, 4, 0, 4, 2, 0, 4, 2, 4, 2, 0, 4, 2, 1, 4, 2, 4, 3, 1, 2, 3, 2, 2, 1, 3, 3, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 1, 1, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 2, 1, 3, 0, 2, 2, 2, 1, 1, 1, 0, 4, 1, 1, 3, 3, 1, 3, 1, 3, 0, 0, 1, 0, 2, 4, 0, 4, 1, 0, 0, 2, 4, 3, 2, 0, 2, 0, 4, 4, 2, 2, 4, 3, 2, 3, 0, 3, 3, 4, 3, 4, 1, 3, 0, 4, 3, 1, 2, 0, 1, 2, 2, 4, 4, 4, 1, 3, 3, 0, 0, 0, 1, 2, 4, 1, 1, 4, 0, 1, 4, 2, 4, 3, 0, 2, 4, 1, 2, 2, 1, 1, 3, 2, 0, 2, 0, 4, 3, 4, 0, 2, 4, 4, 3, 2, 3, 4, 4, 4, 1, 1, 3, 2, 4, 2, 0, 0, 2, 0, 3, 1, 4, 0, 4] pubkeycol1273 = [2, 3, 2, 0, 3, 1, 4, 2, 2, 2, 1, 2, 4, 3, 0, 4, 4, 0, 4, 1, 4, 2, 0, 3, 2, 2, 2, 1, 3, 3, 4, 0, 4, 2, 0, 0, 2, 2, 4, 1, 4, 3, 2, 3, 0, 4, 0, 2, 1, 2, 4, 1, 4, 0, 2, 3, 3, 1, 2, 0, 0, 3, 1, 4, 4, 1, 3, 4, 3, 4, 3, 2, 3, 3, 4, 4, 0, 2, 1, 1, 0, 1, 2, 4, 0, 0, 1, 2, 0, 3, 3, 4, 0, 2, 2, 4, 0, 1, 4, 4, 0, 2, 4, 3, 0, 2, 1, 1, 4, 1, 3, 2, 0, 4, 1, 0, 4, 3, 2, 0, 0, 2, 4, 0, 0, 4, 3, 2, 3, 3, 1, 2, 1, 1, 4, 2, 2, 4, 2, 3, 4, 3, 4, 2, 0, 3, 0, 3, 4, 2, 2, 4, 3, 0, 3, 2, 1, 0, 1, 3, 4, 1, 3, 2, 4, 2, 0, 3, 4, 2, 4, 1, 0, 3, 0, 4, 2, 1, 1, 4, 3, 4, 4, 2, 2, 3, 1, 2, 0, 1, 4, 4, 2, 4, 3, 0, 0, 0, 4, 3, 2, 4, 1, 1, 4, 2, 0, 1, 1, 3, 3, 2, 3, 0, 0, 2, 0, 1, 0, 3, 3, 4, 2, 1, 3, 3, 4, 3, 1, 0, 1, 0, 3, 4, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 4, 2, 4, 2, 4, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 4, 2, 4, 4, 2, 2, 3, 1, 0, 1, 3, 4, 1, 0, 2, 2, 1, 4, 4, 4, 4, 3, 4, 0, 2, 4, 1, 2, 2, 0, 3, 0, 0, 3, 3, 4, 1, 3, 1, 3, 1, 4, 1, 3, 3, 4, 4, 3, 1, 1, 1, 4, 1, 3, 4, 1, 3, 4, 4, 3, 4, 2, 1, 2, 1, 2, 2, 4, 0, 0, 0, 1, 2, 4, 3, 2, 1, 1, 2, 2, 3, 3, 1, 4, 4, 1, 0, 0, 2, 1, 1, 3, 2, 3, 0, 4, 4, 0, 0, 0, 2, 0, 3, 0, 2, 3, 1, 2, 3, 1, 4, 4, 0, 1, 4, 3, 4, 3, 2, 1, 3, 0, 0, 4, 2, 4, 2, 1, 3, 3, 2, 1, 2, 3, 4, 3, 2, 3, 1, 0, 2] pubkeycol1274 = [3, 2, 4, 0, 2, 0, 0, 1, 3, 2, 1, 3, 3, 4, 1, 2, 0, 1, 4, 0, 0, 2, 0, 4, 4, 2, 0, 2, 1, 3, 3, 4, 3, 3, 0, 4, 0, 1, 1, 1, 2, 1, 3, 4, 4, 0, 2, 1, 3, 4, 4, 1, 1, 4, 2, 2, 2, 2, 0, 1, 2, 4, 2, 2, 0, 0, 3, 1, 3, 3, 0, 1, 0, 3, 2, 1, 1, 1, 4, 1, 0, 4, 0, 4, 4, 2, 3, 2, 4, 1, 3, 1, 3, 0, 4, 4, 0, 2, 0, 3, 3, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 3, 0, 3, 4, 3, 4, 3, 2, 2, 2, 0, 3, 1, 4, 4, 0, 4, 3, 3, 3, 3, 0, 4, 4, 0, 3, 0, 3, 4, 1, 1, 1, 4, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 4, 4, 2, 3, 3, 3, 2, 3, 0, 2, 0, 2, 1, 4, 2, 0, 3, 3, 0, 1, 1, 2, 2, 4, 2, 4, 0, 1, 2, 2, 2, 4, 2, 2, 4, 2, 0, 3, 4, 1, 3, 3, 2, 0, 3, 1, 3, 1, 2, 0, 1, 3, 2, 3, 1, 4, 2, 2, 4, 0, 0, 3, 0, 3, 2, 1, 4, 2, 1, 1, 0, 0, 4, 3, 2, 0, 2, 0, 1, 3, 3, 0, 2, 4, 3, 0, 4, 2, 3, 2, 0, 0, 1, 2, 4, 2, 3, 4, 1, 0, 3, 1, 1, 3, 4, 3, 3, 0, 1, 3, 3, 2, 0, 2, 1, 3, 0, 4, 2, 0, 4, 2, 0, 2, 1, 0, 1, 1, 3, 4, 1, 2, 4, 0, 4, 1, 1, 4, 4, 2, 3, 2, 2, 3, 0, 2, 2, 4, 1, 3, 4, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 3, 3, 4, 1, 3, 0, 3, 0, 0, 3, 3, 0, 2, 0, 4, 2, 2, 2, 4, 2, 3, 0, 4, 0, 2, 2, 4, 0, 4, 4, 3, 1, 4, 0, 2, 4, 1, 2, 0, 0, 2, 2, 2, 1, 4, 2, 2, 2, 0, 3, 4, 1, 1, 1, 2, 4, 2, 4, 0, 2, 0, 3, 3, 0, 1, 3, 3, 3, 1, 3, 3, 4, 2, 0, 2, 0, 0, 1, 1, 2, 4, 4, 4, 0] pubkeycol1275 = [4, 3, 3, 0, 3, 4, 3, 0, 1, 2, 0, 3, 4, 3, 4, 0, 1, 4, 2, 2, 1, 4, 4, 2, 1, 1, 4, 1, 2, 1, 3, 2, 2, 3, 1, 4, 3, 3, 3, 0, 0, 4, 4, 0, 0, 4, 1, 0, 2, 4, 2, 0, 3, 2, 4, 4, 4, 3, 0, 4, 3, 1, 2, 4, 1, 4, 1, 2, 4, 2, 0, 2, 4, 2, 0, 4, 2, 3, 3, 2, 2, 0, 1, 4, 1, 1, 2, 0, 3, 2, 1, 2, 3, 3, 4, 0, 3, 4, 1, 2, 1, 4, 3, 1, 3, 3, 4, 1, 2, 4, 2, 0, 1, 4, 1, 0, 3, 0, 1, 1, 2, 0, 4, 1, 4, 4, 0, 2, 4, 2, 3, 2, 0, 1, 3, 4, 0, 4, 0, 2, 2, 0, 2, 0, 4, 2, 3, 4, 3, 3, 4, 0, 2, 3, 3, 4, 4, 3, 0, 1, 4, 2, 1, 1, 1, 1, 0, 3, 2, 0, 1, 0, 3, 3, 1, 0, 0, 2, 0, 4, 4, 3, 4, 0, 3, 1, 4, 0, 4, 0, 3, 4, 1, 2, 0, 3, 3, 0, 3, 4, 4, 0, 3, 0, 3, 1, 4, 1, 0, 4, 0, 3, 4, 2, 1, 3, 4, 1, 1, 0, 0, 1, 2, 1, 4, 0, 2, 4, 1, 1, 0, 0, 3, 3, 0, 4, 0, 3, 2, 0, 2, 3, 0, 1, 4, 0, 3, 1, 0, 1, 2, 2, 0, 0, 0, 4, 0, 2, 2, 4, 4, 2, 0, 3, 2, 1, 3, 0, 2, 2, 1, 1, 3, 2, 3, 3, 0, 1, 3, 0, 1, 4, 1, 2, 2, 3, 2, 2, 4, 1, 3, 2, 2, 1, 0, 2, 4, 4, 4, 1, 2, 1, 2, 2, 0, 3, 0, 4, 2, 4, 3, 2, 0, 0, 3, 0, 0, 2, 2, 0, 0, 3, 2, 2, 1, 1, 4, 4, 1, 1, 1, 2, 4, 2, 4, 1, 1, 2, 0, 2, 3, 0, 4, 4, 2, 1, 2, 0, 3, 2, 4, 2, 3, 4, 0, 4, 3, 3, 1, 3, 4, 3, 1, 2, 4, 0, 2, 3, 4, 0, 3, 4, 0, 4, 2, 4, 0, 1, 4, 0, 4, 0, 4, 2, 1, 1, 4, 3, 1, 1, 1, 2, 1, 2, 0, 3, 0, 3, 2, 2] pubkeycol1276 = [4, 2, 3, 4, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 4, 2, 1, 2, 2, 4, 1, 1, 1, 1, 0, 4, 3, 0, 3, 2, 1, 3, 4, 0, 4, 2, 1, 4, 3, 2, 1, 0, 4, 0, 4, 3, 3, 3, 3, 4, 0, 3, 2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 3, 1, 0, 3, 1, 1, 2, 1, 1, 0, 0, 3, 0, 4, 4, 4, 2, 4, 1, 4, 3, 2, 1, 0, 3, 1, 2, 0, 1, 1, 0, 1, 3, 0, 1, 4, 0, 0, 4, 1, 2, 0, 0, 3, 1, 3, 0, 1, 4, 1, 4, 2, 2, 1, 1, 1, 4, 1, 4, 1, 4, 1, 0, 1, 2, 3, 1, 0, 3, 0, 1, 4, 4, 0, 0, 4, 4, 1, 2, 2, 1, 1, 3, 2, 1, 4, 0, 0, 0, 3, 1, 3, 1, 3, 3, 1, 3, 2, 0, 4, 2, 1, 2, 4, 0, 2, 4, 2, 4, 4, 1, 0, 0, 3, 4, 2, 4, 1, 4, 3, 4, 3, 2, 0, 3, 2, 0, 0, 0, 1, 3, 0, 0, 3, 2, 4, 3, 2, 0, 3, 4, 1, 3, 3, 3, 3, 1, 0, 2, 0, 3, 1, 2, 4, 4, 4, 2, 3, 1, 3, 2, 4, 0, 0, 1, 1, 0, 0, 0, 4, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 3, 4, 3, 1, 0, 0, 0, 2, 2, 0, 0, 1, 3, 0, 2, 4, 1, 2, 3, 0, 3, 2, 4, 1, 1, 2, 2, 1, 3, 3, 1, 2, 0, 1, 1, 4, 0, 1, 2, 0, 4, 1, 1, 4, 1, 0, 4, 2, 4, 2, 1, 3, 0, 2, 0, 0, 3, 4, 3, 0, 3, 0, 2, 3, 3, 2, 4, 3, 2, 0, 1, 2, 2, 3, 4, 2, 1, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 4, 2, 2, 1, 4, 1, 3, 0, 2, 0, 4, 1, 0, 1, 3, 2, 2, 2, 0, 1, 1, 3, 0, 0, 3, 2, 3, 1, 3, 3, 4, 1, 3, 1, 3, 0, 4, 4, 1, 4, 3, 4, 3, 0, 0, 3, 2, 2, 3, 0, 2, 4, 3, 0, 3, 3, 1, 4, 4, 4, 2] pubkeycol1277 = [4, 0, 2, 0, 3, 4, 0, 4, 3, 1, 3, 3, 1, 1, 2, 1, 4, 1, 1, 2, 0, 1, 3, 1, 1, 4, 4, 4, 1, 3, 4, 4, 1, 0, 4, 2, 4, 1, 0, 0, 4, 2, 1, 0, 2, 3, 4, 0, 1, 1, 0, 2, 2, 3, 2, 1, 0, 4, 3, 2, 3, 2, 2, 3, 1, 3, 4, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0, 2, 0, 3, 1, 0, 0, 4, 3, 2, 4, 2, 3, 2, 2, 1, 1, 3, 4, 0, 4, 4, 4, 1, 1, 1, 0, 2, 2, 1, 4, 2, 3, 4, 1, 1, 3, 0, 3, 2, 3, 0, 4, 3, 0, 4, 1, 1, 3, 2, 1, 1, 3, 1, 1, 3, 3, 1, 0, 3, 2, 1, 1, 2, 4, 3, 4, 2, 4, 0, 1, 2, 3, 0, 0, 4, 4, 3, 2, 0, 4, 4, 2, 3, 4, 2, 3, 3, 3, 2, 0, 2, 3, 3, 1, 1, 2, 1, 1, 1, 3, 0, 2, 3, 0, 0, 4, 0, 1, 3, 0, 3, 0, 4, 1, 1, 4, 0, 0, 4, 1, 0, 0, 3, 4, 1, 3, 3, 4, 1, 1, 2, 0, 2, 3, 1, 4, 4, 2, 4, 2, 3, 3, 4, 4, 4, 4, 3, 4, 0, 2, 4, 4, 0, 4, 4, 1, 3, 1, 1, 1, 2, 2, 2, 4, 2, 0, 4, 2, 2, 0, 1, 4, 4, 1, 3, 0, 3, 0, 2, 4, 0, 2, 1, 2, 1, 2, 1, 2, 3, 3, 3, 0, 3, 4, 3, 0, 2, 4, 0, 2, 1, 1, 2, 2, 0, 3, 0, 3, 1, 2, 2, 3, 0, 2, 3, 1, 1, 3, 1, 4, 0, 3, 0, 4, 3, 2, 0, 2, 0, 4, 3, 0, 2, 2, 2, 4, 0, 1, 4, 1, 0, 1, 0, 3, 1, 1, 1, 1, 0, 1, 3, 1, 1, 0, 2, 4, 3, 4, 2, 3, 0, 2, 3, 3, 2, 1, 4, 4, 4, 1, 3, 2, 4, 0, 3, 0, 1, 3, 3, 4, 0, 1, 4, 3, 4, 1, 4, 2, 0, 0, 1, 4, 1, 4, 2, 2, 0, 1, 4, 2, 1, 4, 4, 1, 2, 2, 4, 3, 1, 4, 0, 1, 0, 4, 3, 0, 3, 4, 4, 4, 2, 4, 3] pubkeycol1278 = [2, 3, 3, 2, 2, 0, 3, 2, 1, 2, 4, 0, 1, 1, 1, 1, 1, 2, 1, 3, 4, 3, 4, 2, 3, 1, 2, 1, 2, 3, 1, 3, 1, 2, 4, 0, 1, 2, 0, 0, 2, 4, 4, 0, 1, 4, 3, 0, 0, 4, 4, 1, 1, 0, 1, 2, 2, 0, 3, 1, 1, 3, 4, 0, 1, 4, 1, 0, 0, 4, 2, 0, 0, 1, 0, 2, 4, 3, 0, 3, 3, 0, 3, 1, 1, 3, 0, 4, 4, 3, 3, 1, 2, 4, 3, 2, 3, 4, 1, 4, 4, 3, 0, 1, 0, 1, 4, 2, 1, 4, 0, 2, 2, 2, 0, 2, 0, 4, 1, 3, 4, 2, 0, 0, 4, 0, 4, 4, 3, 4, 3, 2, 1, 1, 1, 0, 0, 1, 2, 3, 2, 0, 0, 4, 1, 3, 2, 3, 3, 0, 3, 3, 0, 3, 2, 0, 1, 3, 1, 2, 2, 2, 3, 2, 0, 0, 0, 2, 4, 1, 2, 4, 2, 3, 3, 2, 3, 0, 1, 3, 1, 4, 3, 1, 2, 2, 3, 4, 3, 0, 4, 0, 0, 4, 1, 4, 1, 4, 4, 4, 3, 0, 4, 4, 2, 4, 2, 0, 2, 3, 2, 2, 0, 0, 2, 0, 1, 2, 2, 4, 3, 0, 1, 2, 1, 4, 4, 1, 2, 4, 1, 1, 3, 3, 2, 1, 3, 0, 3, 2, 1, 0, 1, 1, 3, 0, 4, 2, 3, 0, 1, 1, 2, 3, 0, 3, 2, 4, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 4, 1, 1, 0, 1, 3, 3, 0, 1, 4, 2, 0, 3, 1, 2, 0, 4, 2, 3, 2, 0, 0, 0, 3, 0, 0, 4, 0, 4, 3, 4, 1, 1, 2, 4, 2, 0, 1, 3, 1, 0, 1, 3, 0, 4, 1, 4, 4, 1, 3, 2, 3, 3, 0, 4, 2, 0, 3, 1, 1, 0, 4, 0, 4, 3, 2, 3, 1, 2, 0, 2, 3, 1, 2, 0, 2, 2, 0, 4, 3, 3, 4, 1, 4, 4, 2, 3, 3, 4, 0, 2, 2, 2, 0, 0, 1, 1, 3, 4, 2, 2, 3, 3, 4, 0, 4, 2, 4, 0, 3, 4, 4, 0, 4, 1, 4, 2, 0, 0, 1, 0, 0, 1, 3, 3, 2, 2, 2, 0, 3, 2] pubkeycol1279 = [3, 0, 2, 2, 1, 2, 4, 0, 3, 2, 3, 4, 1, 2, 0, 2, 3, 1, 4, 2, 4, 1, 1, 3, 4, 1, 0, 4, 1, 3, 0, 0, 4, 0, 4, 1, 2, 3, 4, 3, 1, 0, 3, 3, 3, 2, 4, 2, 0, 3, 0, 3, 3, 1, 3, 0, 1, 3, 3, 4, 1, 1, 0, 3, 2, 1, 1, 2, 4, 3, 0, 1, 3, 2, 2, 3, 0, 4, 4, 4, 1, 3, 2, 1, 0, 1, 1, 3, 1, 4, 3, 3, 3, 3, 1, 3, 2, 1, 0, 1, 1, 4, 0, 0, 2, 1, 1, 1, 2, 2, 4, 2, 2, 3, 4, 1, 4, 3, 0, 1, 2, 1, 1, 2, 2, 2, 3, 4, 3, 3, 0, 2, 0, 3, 4, 1, 3, 3, 0, 2, 1, 4, 2, 3, 1, 3, 3, 4, 1, 1, 0, 3, 4, 4, 2, 4, 1, 2, 3, 4, 3, 2, 1, 3, 1, 4, 4, 0, 4, 2, 3, 3, 4, 0, 0, 0, 3, 3, 0, 0, 4, 3, 0, 0, 4, 4, 1, 1, 4, 2, 1, 0, 3, 0, 1, 3, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 4, 0, 4, 1, 1, 4, 0, 4, 2, 3, 2, 0, 3, 0, 4, 2, 0, 3, 3, 4, 0, 1, 2, 4, 3, 3, 0, 0, 1, 1, 0, 1, 0, 2, 4, 3, 2, 2, 0, 3, 0, 4, 2, 2, 1, 0, 2, 3, 4, 4, 3, 1, 0, 2, 4, 4, 1, 3, 4, 2, 4, 1, 1, 0, 4, 0, 4, 1, 0, 4, 0, 0, 3, 0, 2, 0, 2, 0, 0, 4, 1, 0, 1, 3, 4, 3, 3, 2, 0, 2, 1, 2, 3, 3, 3, 3, 3, 2, 1, 4, 4, 4, 1, 0, 1, 2, 1, 3, 4, 0, 2, 4, 4, 4, 1, 0, 1, 1, 4, 1, 1, 3, 0, 0, 4, 4, 2, 4, 4, 3, 4, 0, 0, 2, 2, 2, 4, 1, 1, 1, 4, 0, 4, 1, 4, 3, 2, 3, 2, 0, 2, 0, 3, 3, 4, 4, 4, 2, 0, 2, 2, 4, 3, 0, 1, 0, 0, 2, 3, 2, 3, 3, 1, 1, 4, 1, 4, 0, 0, 2, 2, 3, 1, 4, 0, 0, 0, 0, 3, 4, 3, 3, 4] pubkeycol1280 = [0, 0, 3, 1, 1, 0, 1, 3, 2, 4, 3, 4, 1, 0, 3, 1, 3, 2, 1, 3, 2, 3, 4, 4, 2, 1, 3, 0, 1, 4, 2, 4, 4, 0, 1, 3, 2, 4, 4, 1, 0, 2, 1, 4, 3, 4, 0, 1, 4, 0, 0, 2, 0, 0, 1, 2, 0, 4, 1, 3, 1, 3, 0, 0, 3, 1, 2, 0, 2, 2, 4, 0, 1, 1, 0, 0, 2, 4, 2, 2, 3, 3, 3, 0, 3, 0, 4, 0, 0, 3, 4, 2, 0, 4, 4, 4, 4, 1, 1, 4, 1, 4, 2, 2, 2, 2, 0, 3, 0, 2, 3, 3, 2, 1, 3, 3, 3, 2, 0, 1, 1, 4, 1, 3, 3, 2, 4, 4, 3, 2, 3, 4, 3, 0, 2, 2, 3, 2, 2, 3, 3, 1, 0, 4, 3, 1, 1, 3, 3, 1, 2, 1, 3, 1, 2, 2, 1, 1, 3, 3, 1, 0, 0, 1, 2, 1, 1, 4, 4, 1, 1, 2, 2, 2, 0, 4, 2, 2, 4, 4, 4, 4, 0, 1, 3, 3, 2, 4, 3, 1, 3, 4, 0, 2, 2, 3, 2, 1, 4, 4, 0, 2, 0, 4, 0, 4, 4, 0, 0, 1, 0, 0, 0, 4, 3, 4, 3, 3, 2, 1, 2, 1, 4, 4, 0, 3, 0, 4, 2, 4, 2, 4, 2, 1, 4, 0, 1, 3, 3, 4, 3, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 3, 1, 3, 2, 4, 1, 2, 0, 4, 1, 0, 0, 4, 3, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 0, 0, 2, 2, 3, 2, 0, 3, 4, 1, 2, 2, 1, 2, 2, 2, 1, 1, 3, 4, 2, 2, 2, 1, 1, 0, 1, 3, 4, 4, 0, 0, 4, 4, 1, 3, 0, 0, 3, 3, 2, 2, 3, 1, 1, 1, 4, 1, 2, 1, 1, 4, 1, 3, 3, 3, 3, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 0, 4, 4, 4, 0, 0, 0, 4, 4, 2, 1, 0, 4, 2, 4, 4, 4, 0, 0, 0, 1, 4, 2, 1, 4, 3, 1, 2, 4, 1, 3, 3, 3, 4, 1, 4, 2, 0, 4, 3, 2, 4, 2, 4, 3, 4, 2, 2, 2, 4, 3, 4, 0, 4] pubkeycol1281 = [4, 1, 2, 2, 4, 0, 3, 3, 0, 4, 4, 4, 1, 3, 2, 0, 1, 3, 3, 3, 0, 1, 3, 2, 0, 3, 1, 0, 4, 3, 1, 2, 4, 0, 0, 4, 2, 4, 1, 1, 3, 4, 2, 2, 1, 0, 3, 1, 3, 2, 0, 4, 2, 0, 4, 3, 1, 4, 4, 4, 4, 0, 3, 1, 4, 4, 0, 4, 2, 2, 3, 0, 0, 2, 3, 3, 2, 3, 1, 3, 4, 2, 2, 2, 0, 0, 1, 3, 0, 3, 4, 3, 0, 0, 1, 3, 4, 1, 0, 1, 4, 4, 4, 4, 3, 4, 1, 1, 4, 4, 1, 3, 1, 4, 1, 0, 2, 1, 4, 4, 0, 1, 4, 2, 3, 1, 4, 1, 1, 4, 2, 0, 2, 2, 1, 4, 1, 2, 0, 2, 0, 0, 4, 0, 3, 2, 4, 0, 4, 2, 2, 0, 2, 1, 2, 1, 3, 2, 1, 0, 1, 1, 0, 1, 2, 4, 3, 0, 4, 0, 4, 4, 1, 4, 3, 3, 0, 3, 2, 0, 3, 3, 1, 0, 4, 1, 3, 2, 4, 3, 1, 1, 0, 4, 1, 4, 2, 2, 3, 3, 3, 4, 4, 0, 0, 0, 1, 3, 0, 0, 1, 0, 1, 4, 1, 1, 2, 4, 0, 2, 1, 1, 0, 1, 1, 3, 3, 2, 4, 1, 4, 3, 0, 1, 4, 4, 0, 2, 0, 2, 4, 3, 2, 4, 2, 0, 0, 0, 2, 1, 0, 2, 3, 3, 0, 1, 3, 1, 2, 1, 2, 4, 0, 2, 2, 2, 0, 1, 4, 4, 4, 4, 4, 3, 2, 1, 3, 2, 4, 4, 2, 1, 4, 2, 4, 4, 1, 2, 3, 4, 4, 3, 3, 1, 4, 1, 4, 1, 0, 4, 2, 4, 2, 0, 3, 1, 2, 2, 2, 0, 0, 2, 4, 4, 2, 1, 0, 4, 0, 0, 0, 3, 0, 3, 3, 4, 2, 2, 0, 4, 3, 4, 3, 2, 1, 1, 3, 1, 1, 2, 0, 1, 3, 3, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 3, 4, 4, 2, 4, 0, 4, 4, 0, 3, 3, 2, 0, 4, 3, 3, 2, 3, 2, 1, 3, 1, 0, 4, 2, 0, 2, 2, 2, 4, 2, 2, 1, 0, 0, 0, 1, 1, 3, 3, 1, 0] pubkeycol1282 = [3, 3, 0, 0, 3, 4, 3, 4, 2, 1, 2, 1, 0, 1, 3, 1, 0, 2, 4, 0, 4, 0, 0, 2, 3, 1, 1, 0, 4, 0, 2, 1, 0, 3, 0, 1, 3, 1, 2, 2, 3, 1, 1, 0, 3, 4, 3, 2, 2, 4, 2, 3, 3, 1, 4, 4, 3, 3, 1, 4, 4, 3, 3, 0, 2, 4, 3, 2, 2, 1, 1, 1, 3, 2, 1, 3, 2, 3, 0, 4, 1, 3, 4, 0, 4, 0, 4, 3, 2, 1, 2, 3, 0, 1, 2, 0, 0, 3, 0, 2, 1, 1, 1, 1, 2, 3, 1, 4, 0, 3, 1, 4, 2, 4, 1, 2, 2, 1, 2, 0, 3, 4, 3, 3, 1, 1, 1, 4, 3, 0, 0, 2, 2, 3, 1, 1, 2, 4, 0, 3, 3, 1, 3, 0, 1, 2, 0, 2, 1, 0, 0, 1, 4, 1, 2, 2, 4, 0, 4, 3, 3, 3, 3, 4, 4, 3, 2, 4, 2, 0, 1, 2, 2, 3, 2, 3, 4, 4, 4, 2, 2, 2, 3, 3, 3, 0, 3, 1, 3, 4, 4, 2, 4, 0, 0, 4, 1, 1, 1, 2, 2, 0, 3, 0, 2, 4, 0, 4, 1, 3, 1, 2, 1, 0, 4, 0, 1, 4, 2, 3, 4, 4, 0, 3, 0, 1, 1, 4, 2, 3, 4, 4, 3, 3, 2, 1, 2, 2, 2, 4, 3, 3, 3, 3, 1, 2, 2, 4, 1, 3, 0, 1, 2, 0, 4, 2, 3, 0, 3, 0, 1, 0, 4, 2, 0, 4, 4, 4, 1, 1, 4, 3, 3, 4, 1, 0, 3, 0, 1, 2, 3, 0, 1, 4, 1, 3, 0, 4, 1, 3, 2, 2, 0, 4, 4, 1, 2, 1, 1, 4, 0, 0, 3, 0, 1, 4, 2, 1, 4, 1, 0, 2, 2, 3, 2, 2, 2, 0, 1, 0, 4, 4, 2, 3, 4, 0, 0, 3, 3, 3, 3, 3, 4, 3, 0, 1, 3, 0, 1, 2, 2, 1, 4, 2, 1, 4, 1, 1, 4, 4, 1, 0, 0, 4, 2, 0, 3, 0, 3, 3, 4, 1, 3, 0, 2, 2, 2, 3, 2, 4, 4, 0, 0, 4, 1, 0, 0, 2, 4, 1, 0, 2, 0, 1, 4, 2, 2, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 4, 1] pubkeycol1283 = [1, 4, 2, 3, 0, 4, 4, 0, 0, 1, 2, 1, 2, 1, 3, 1, 4, 0, 2, 0, 4, 1, 0, 3, 3, 0, 4, 2, 1, 4, 4, 4, 1, 2, 2, 0, 3, 0, 3, 3, 1, 0, 4, 4, 1, 3, 3, 4, 1, 4, 4, 0, 0, 0, 2, 4, 4, 2, 2, 0, 2, 3, 3, 0, 3, 4, 3, 3, 0, 1, 4, 2, 2, 4, 4, 3, 0, 4, 3, 1, 0, 0, 4, 4, 1, 2, 3, 1, 4, 1, 0, 1, 4, 3, 4, 4, 1, 3, 4, 1, 4, 1, 4, 2, 4, 4, 4, 3, 3, 2, 2, 0, 2, 1, 3, 4, 1, 1, 0, 2, 3, 0, 3, 2, 0, 3, 1, 3, 1, 3, 4, 2, 1, 0, 0, 3, 0, 2, 4, 2, 2, 2, 0, 1, 1, 3, 4, 4, 1, 3, 2, 2, 2, 2, 4, 4, 3, 2, 0, 3, 4, 1, 1, 2, 0, 0, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 2, 1, 1, 4, 3, 1, 0, 0, 2, 0, 1, 2, 0, 3, 1, 0, 1, 3, 0, 2, 4, 4, 2, 2, 1, 4, 2, 2, 0, 2, 2, 4, 0, 1, 4, 1, 3, 0, 1, 2, 1, 2, 4, 2, 2, 0, 2, 4, 0, 0, 0, 3, 3, 3, 0, 3, 3, 1, 2, 1, 0, 0, 1, 2, 4, 4, 1, 0, 0, 2, 1, 2, 0, 2, 4, 1, 1, 2, 0, 0, 3, 3, 4, 0, 3, 3, 3, 1, 0, 3, 0, 3, 2, 0, 2, 4, 1, 1, 4, 1, 4, 1, 4, 3, 1, 1, 2, 3, 4, 1, 2, 2, 2, 3, 3, 1, 4, 2, 0, 2, 3, 0, 1, 3, 1, 2, 1, 4, 1, 4, 4, 2, 2, 3, 0, 0, 2, 4, 0, 3, 4, 3, 2, 0, 4, 4, 1, 1, 3, 3, 4, 4, 1, 0, 3, 2, 4, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 0, 3, 0, 4, 2, 3, 3, 4, 3, 4, 2, 3, 2, 2, 0, 3, 2, 2, 1, 0, 3, 4, 1, 1, 4, 3, 1, 4, 0, 3, 1, 4, 3, 3, 0, 2, 1, 3, 3, 4, 1, 2, 4, 4, 3, 1, 1, 0, 1, 2, 2, 1, 1, 4, 2, 0] pubkeycol1284 = [0, 2, 1, 0, 4, 0, 3, 1, 2, 4, 1, 4, 1, 2, 3, 4, 2, 4, 1, 4, 4, 3, 2, 1, 3, 0, 3, 1, 1, 4, 0, 4, 2, 4, 3, 3, 4, 3, 2, 4, 4, 4, 1, 4, 4, 0, 3, 0, 3, 1, 2, 0, 4, 2, 4, 3, 3, 3, 4, 0, 2, 1, 4, 3, 3, 3, 2, 0, 2, 0, 0, 3, 4, 1, 1, 3, 3, 4, 0, 1, 1, 3, 4, 3, 1, 4, 3, 3, 1, 2, 3, 1, 1, 2, 4, 3, 3, 3, 1, 1, 4, 2, 4, 2, 3, 1, 2, 4, 4, 4, 0, 2, 0, 0, 2, 4, 1, 2, 3, 3, 2, 0, 3, 2, 3, 3, 2, 4, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 3, 3, 4, 0, 0, 0, 3, 4, 0, 1, 4, 4, 2, 2, 3, 3, 4, 0, 4, 1, 0, 0, 2, 0, 2, 3, 3, 1, 3, 1, 1, 4, 1, 3, 1, 4, 0, 2, 4, 2, 1, 3, 2, 1, 2, 3, 3, 1, 2, 2, 3, 3, 1, 4, 2, 0, 4, 4, 3, 2, 4, 1, 1, 3, 0, 3, 2, 3, 0, 1, 1, 2, 2, 3, 0, 0, 1, 3, 4, 4, 0, 0, 2, 4, 3, 3, 4, 0, 3, 0, 3, 1, 4, 1, 2, 1, 4, 3, 3, 2, 2, 0, 3, 0, 3, 0, 0, 1, 2, 2, 3, 3, 2, 3, 4, 2, 0, 0, 4, 1, 4, 0, 4, 3, 3, 4, 0, 1, 3, 1, 3, 0, 1, 1, 1, 2, 4, 4, 4, 3, 1, 0, 3, 4, 4, 4, 1, 2, 2, 3, 1, 3, 2, 2, 0, 3, 1, 4, 0, 3, 2, 2, 4, 0, 0, 1, 0, 3, 2, 4, 4, 4, 3, 2, 1, 1, 4, 4, 4, 1, 2, 0, 4, 4, 4, 4, 0, 2, 4, 3, 3, 2, 3, 0, 0, 1, 2, 2, 4, 2, 0, 3, 2, 1, 0, 1, 0, 0, 2, 2, 3, 0, 0, 3, 3, 1, 2, 4, 1, 0, 3, 1, 3, 2, 3, 1, 0, 3, 4, 4, 4, 2, 1, 1, 3, 2, 4, 4, 4, 1, 2, 1, 0, 0, 4, 4, 3, 2, 3, 4, 4, 1, 2, 1, 1, 2, 2, 4, 1] pubkeycol1285 = [4, 4, 1, 3, 4, 3, 4, 4, 2, 0, 4, 2, 3, 3, 3, 0, 3, 1, 1, 1, 2, 3, 3, 2, 0, 1, 3, 1, 1, 3, 0, 1, 3, 4, 4, 1, 1, 0, 4, 3, 0, 0, 1, 1, 2, 4, 1, 1, 0, 4, 0, 4, 1, 3, 3, 4, 3, 3, 1, 1, 3, 2, 3, 2, 3, 3, 1, 2, 1, 3, 2, 3, 3, 4, 2, 3, 1, 3, 1, 3, 1, 4, 0, 2, 4, 1, 1, 4, 3, 2, 1, 3, 0, 0, 1, 3, 2, 3, 1, 2, 2, 2, 0, 1, 0, 3, 0, 2, 0, 3, 3, 0, 4, 3, 1, 4, 4, 3, 0, 4, 0, 2, 1, 0, 2, 4, 0, 4, 0, 0, 3, 1, 4, 4, 4, 4, 3, 0, 1, 0, 0, 4, 1, 1, 4, 4, 3, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 4, 3, 4, 1, 0, 0, 4, 4, 1, 1, 2, 2, 3, 2, 2, 3, 3, 4, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 4, 2, 2, 1, 4, 3, 0, 1, 0, 0, 2, 0, 1, 0, 3, 2, 1, 2, 4, 2, 3, 0, 0, 2, 4, 2, 2, 4, 2, 1, 3, 2, 0, 0, 2, 1, 3, 0, 4, 2, 3, 0, 2, 4, 2, 4, 1, 0, 3, 3, 4, 3, 3, 1, 2, 4, 2, 4, 2, 4, 2, 1, 4, 3, 2, 2, 0, 3, 3, 2, 3, 0, 4, 3, 3, 4, 1, 1, 3, 4, 2, 1, 2, 0, 4, 4, 3, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 4, 4, 4, 2, 3, 0, 2, 0, 4, 3, 1, 4, 0, 2, 2, 4, 2, 0, 0, 4, 3, 2, 4, 2, 2, 4, 2, 2, 2, 4, 3, 0, 3, 4, 0, 4, 3, 0, 4, 2, 0, 2, 0, 2, 1, 0, 1, 4, 3, 2, 0, 3, 1, 4, 0, 0, 4, 2, 1, 0, 4, 1, 0, 3, 1, 4, 4, 0, 4, 4, 2, 3, 3, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 3, 2, 4, 0, 0, 2, 1, 0, 3, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 4, 1, 3] pubkeycol1286 = [1, 0, 1, 4, 0, 4, 2, 4, 2, 2, 0, 4, 2, 2, 1, 4, 1, 3, 0, 3, 2, 1, 1, 1, 3, 4, 2, 3, 4, 1, 2, 4, 1, 1, 1, 3, 3, 1, 0, 3, 3, 0, 0, 2, 3, 1, 0, 4, 0, 4, 0, 0, 0, 2, 0, 0, 4, 0, 3, 3, 0, 1, 0, 1, 0, 0, 2, 4, 2, 3, 1, 0, 0, 0, 4, 1, 4, 3, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 4, 0, 3, 1, 3, 0, 0, 3, 0, 3, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 0, 2, 2, 1, 2, 0, 2, 0, 3, 0, 4, 1, 3, 1, 4, 3, 4, 1, 1, 2, 4, 3, 3, 3, 1, 3, 0, 0, 4, 1, 2, 1, 1, 3, 1, 0, 3, 4, 0, 2, 3, 4, 0, 2, 0, 0, 4, 4, 0, 4, 0, 2, 0, 3, 1, 0, 1, 4, 0, 1, 2, 1, 1, 1, 4, 1, 1, 1, 0, 0, 3, 4, 0, 0, 2, 0, 3, 3, 0, 4, 3, 4, 0, 0, 2, 2, 4, 3, 3, 0, 0, 3, 3, 0, 3, 2, 2, 2, 2, 2, 4, 1, 2, 1, 0, 3, 3, 3, 0, 0, 2, 0, 2, 0, 4, 3, 3, 0, 1, 3, 1, 1, 2, 0, 3, 1, 3, 2, 0, 3, 3, 0, 1, 2, 2, 4, 4, 2, 2, 3, 3, 0, 2, 0, 4, 2, 3, 3, 3, 2, 0, 0, 1, 2, 4, 2, 1, 0, 1, 1, 1, 3, 0, 4, 4, 0, 2, 1, 0, 1, 1, 1, 0, 4, 4, 3, 3, 2, 1, 4, 1, 4, 1, 3, 1, 4, 4, 2, 1, 1, 2, 2, 1, 0, 3, 0, 2, 3, 0, 0, 1, 4, 1, 0, 0, 2, 0, 3, 2, 4, 2, 0, 1, 1, 3, 4, 2, 4, 2, 3, 2, 0, 3, 1, 3, 1, 3, 1, 0, 3, 2, 4, 0, 1, 3, 0, 0, 2, 1, 4, 4, 3, 2, 3, 4, 0, 2, 3, 4, 4, 3, 4, 0, 4, 2, 0, 4, 4, 2, 1, 0, 0, 4, 1, 1, 4, 1, 2, 3, 2, 3, 2, 2, 0, 0, 3, 4, 4, 3, 3, 3, 4, 3, 3, 4, 4, 3, 0, 3] pubkeycol1287 = [4, 1, 0, 1, 4, 2, 4, 2, 2, 3, 0, 2, 3, 4, 1, 1, 3, 2, 0, 2, 3, 0, 4, 4, 4, 3, 3, 2, 3, 3, 2, 0, 0, 2, 1, 0, 2, 3, 3, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 3, 1, 2, 2, 4, 2, 4, 0, 2, 0, 2, 4, 4, 1, 0, 4, 0, 0, 0, 1, 3, 1, 3, 1, 0, 4, 3, 3, 2, 2, 2, 4, 3, 3, 3, 2, 4, 0, 0, 1, 0, 0, 1, 4, 2, 0, 2, 0, 3, 3, 1, 4, 4, 0, 1, 1, 4, 0, 3, 0, 4, 2, 4, 4, 4, 4, 0, 3, 3, 2, 1, 4, 0, 4, 0, 4, 2, 4, 3, 3, 4, 0, 3, 1, 2, 1, 0, 1, 1, 1, 4, 3, 2, 0, 1, 0, 1, 4, 2, 2, 0, 1, 4, 1, 2, 4, 3, 2, 0, 3, 2, 4, 3, 1, 3, 0, 0, 2, 2, 2, 1, 4, 3, 4, 1, 4, 3, 3, 0, 1, 2, 2, 0, 2, 3, 0, 0, 0, 4, 0, 1, 3, 4, 0, 2, 3, 0, 1, 2, 4, 3, 4, 3, 4, 0, 2, 4, 3, 2, 0, 3, 4, 3, 4, 1, 4, 0, 1, 2, 2, 3, 0, 4, 4, 2, 1, 3, 2, 2, 4, 1, 0, 3, 3, 3, 4, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 3, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 4, 0, 0, 0, 0, 1, 2, 0, 2, 0, 3, 0, 3, 0, 2, 4, 1, 0, 4, 3, 0, 0, 2, 3, 2, 1, 3, 3, 4, 1, 0, 1, 4, 1, 0, 4, 4, 4, 4, 3, 2, 0, 4, 1, 3, 2, 2, 0, 4, 3, 4, 3, 2, 2, 1, 2, 0, 4, 2, 0, 2, 1, 4, 3, 3, 0, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 0, 4, 0, 1, 0, 3, 1, 2, 0, 0, 4, 0, 1, 4, 2, 1, 2, 1, 4, 2, 1, 2, 4, 0, 3, 3, 1, 0, 4, 2, 0, 1, 3, 4, 4, 4, 2, 3, 4, 2, 4, 4, 2, 3, 3, 2, 1, 4, 1, 3, 3, 2, 0, 0, 3, 3, 0, 4, 4, 1, 2, 1] pubkeycol1288 = [2, 1, 2, 4, 1, 0, 2, 3, 3, 3, 3, 4, 2, 1, 1, 1, 2, 2, 3, 4, 4, 0, 1, 3, 1, 4, 4, 2, 2, 4, 2, 0, 2, 0, 1, 0, 3, 3, 0, 2, 1, 3, 0, 2, 4, 1, 2, 1, 1, 0, 2, 0, 4, 1, 1, 0, 1, 0, 4, 2, 4, 4, 0, 1, 3, 4, 0, 3, 1, 0, 1, 0, 3, 1, 3, 1, 0, 4, 3, 2, 0, 0, 4, 0, 0, 4, 3, 2, 1, 0, 2, 4, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 4, 4, 1, 4, 1, 1, 0, 2, 4, 1, 3, 2, 2, 0, 0, 0, 0, 4, 2, 4, 1, 4, 2, 4, 1, 3, 1, 4, 1, 1, 1, 1, 0, 2, 3, 4, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 4, 4, 3, 3, 2, 3, 1, 2, 1, 0, 4, 4, 1, 3, 4, 2, 2, 4, 3, 0, 0, 0, 4, 1, 0, 4, 3, 4, 0, 1, 0, 0, 2, 4, 1, 3, 4, 2, 3, 4, 0, 3, 2, 0, 4, 2, 2, 1, 2, 4, 3, 1, 2, 3, 2, 1, 4, 4, 2, 2, 0, 1, 1, 0, 0, 3, 1, 1, 2, 1, 0, 3, 0, 4, 1, 4, 1, 4, 0, 2, 2, 4, 4, 1, 4, 1, 1, 0, 3, 3, 4, 4, 3, 3, 1, 2, 2, 1, 2, 0, 4, 2, 4, 0, 2, 1, 1, 3, 1, 4, 3, 1, 0, 4, 0, 2, 0, 2, 4, 0, 4, 2, 2, 1, 0, 4, 4, 3, 1, 1, 4, 0, 4, 3, 3, 4, 4, 4, 2, 0, 1, 0, 3, 1, 4, 0, 3, 3, 2, 0, 0, 2, 2, 3, 0, 2, 0, 4, 3, 0, 1, 4, 3, 1, 4, 4, 0, 1, 3, 1, 4, 0, 4, 1, 3, 1, 1, 3, 1, 2, 2, 0, 3, 0, 3, 2, 2, 1, 1, 0, 0, 1, 0, 2, 3, 1, 4, 3, 1, 1, 1, 4, 1, 2, 4, 2, 2, 1, 1, 3, 4, 0, 1, 3, 4, 0, 0, 2, 2, 2, 4, 0, 3, 1, 4, 0, 3, 1, 0, 3, 4, 0, 4, 3, 3, 4, 4, 1, 2, 3, 2, 0, 4, 1, 4, 1, 1, 4] pubkeycol1289 = [2, 2, 0, 0, 4, 2, 3, 2, 4, 1, 4, 4, 2, 4, 1, 1, 3, 4, 3, 4, 1, 4, 1, 4, 0, 4, 2, 0, 1, 1, 0, 4, 3, 0, 4, 1, 4, 0, 2, 4, 1, 3, 0, 2, 3, 1, 1, 1, 3, 3, 2, 1, 4, 4, 1, 4, 3, 1, 1, 4, 0, 1, 4, 3, 2, 4, 2, 2, 0, 3, 2, 4, 2, 2, 2, 1, 1, 3, 2, 0, 2, 1, 0, 3, 2, 0, 4, 1, 0, 4, 1, 4, 0, 3, 4, 1, 4, 3, 0, 0, 3, 3, 2, 1, 4, 0, 4, 4, 4, 3, 0, 2, 2, 0, 3, 4, 4, 4, 2, 1, 2, 4, 3, 4, 4, 0, 0, 4, 2, 0, 1, 2, 3, 3, 2, 1, 4, 2, 1, 1, 0, 1, 3, 2, 0, 3, 0, 3, 4, 1, 0, 3, 3, 2, 3, 1, 2, 0, 0, 2, 1, 3, 0, 2, 3, 4, 3, 3, 3, 3, 3, 2, 4, 0, 2, 4, 0, 4, 1, 1, 4, 2, 3, 0, 0, 0, 3, 3, 3, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 4, 3, 0, 2, 3, 3, 2, 3, 1, 1, 1, 4, 2, 4, 4, 3, 1, 3, 3, 2, 0, 3, 4, 3, 2, 4, 3, 3, 2, 0, 2, 1, 0, 3, 0, 2, 1, 0, 0, 0, 0, 1, 0, 3, 1, 3, 0, 0, 0, 1, 2, 3, 2, 2, 0, 0, 1, 2, 0, 0, 4, 2, 1, 1, 0, 2, 1, 1, 4, 0, 1, 2, 3, 3, 2, 2, 4, 0, 0, 1, 2, 1, 0, 4, 4, 4, 3, 3, 2, 2, 3, 1, 3, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 3, 4, 3, 3, 3, 0, 3, 4, 0, 2, 4, 0, 4, 2, 4, 1, 4, 4, 4, 4, 0, 3, 2, 4, 2, 4, 4, 1, 2, 1, 1, 1, 1, 2, 4, 4, 3, 4, 4, 2, 2, 2, 3, 1, 4, 1, 4, 3, 4, 0, 3, 3, 1, 4, 3, 2, 4, 0, 1, 2, 2, 4, 0, 0, 1, 0, 4, 0, 3, 2, 3, 3, 1, 4, 4, 2, 0, 3, 4, 2, 3, 2, 2, 2, 4, 4, 3, 0, 4, 3, 0, 3, 3, 0, 2, 0, 0, 4] pubkeycol1290 = [3, 1, 0, 0, 1, 2, 3, 2, 0, 3, 1, 3, 2, 2, 0, 4, 1, 1, 3, 2, 2, 2, 3, 0, 3, 2, 4, 0, 0, 2, 4, 0, 1, 3, 2, 1, 2, 1, 0, 1, 4, 3, 1, 4, 3, 4, 1, 2, 0, 0, 4, 3, 4, 0, 4, 4, 0, 0, 4, 1, 4, 4, 3, 0, 2, 1, 0, 3, 1, 2, 2, 0, 1, 2, 1, 3, 1, 4, 2, 1, 2, 2, 1, 2, 4, 1, 3, 2, 4, 3, 0, 0, 3, 4, 4, 3, 3, 4, 2, 0, 1, 1, 1, 1, 3, 4, 4, 0, 1, 1, 1, 1, 0, 4, 4, 2, 1, 0, 4, 3, 3, 1, 0, 2, 0, 2, 2, 0, 3, 0, 0, 0, 4, 3, 3, 4, 4, 2, 4, 3, 1, 2, 2, 3, 0, 3, 4, 2, 2, 0, 2, 0, 4, 4, 0, 0, 0, 2, 0, 2, 4, 3, 2, 4, 3, 2, 1, 2, 1, 1, 4, 4, 0, 1, 1, 2, 3, 4, 0, 0, 2, 4, 2, 4, 1, 1, 2, 3, 2, 0, 2, 1, 4, 0, 0, 3, 2, 1, 4, 2, 1, 3, 1, 1, 3, 3, 2, 3, 3, 2, 1, 0, 3, 3, 1, 2, 2, 3, 4, 2, 3, 0, 2, 2, 1, 4, 1, 4, 2, 2, 4, 3, 0, 4, 3, 0, 2, 0, 3, 3, 4, 1, 3, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 4, 4, 4, 1, 0, 2, 1, 2, 2, 3, 1, 2, 4, 1, 3, 4, 2, 1, 3, 4, 0, 2, 0, 3, 0, 0, 1, 2, 4, 1, 4, 4, 4, 0, 2, 4, 2, 2, 2, 4, 2, 4, 0, 3, 3, 3, 4, 1, 4, 1, 4, 0, 2, 4, 1, 1, 3, 0, 3, 4, 2, 1, 4, 0, 2, 1, 2, 3, 2, 1, 1, 2, 2, 3, 2, 4, 0, 2, 0, 2, 4, 3, 3, 3, 1, 3, 0, 1, 4, 3, 0, 2, 2, 1, 1, 4, 1, 4, 1, 4, 3, 4, 1, 2, 3, 4, 3, 2, 1, 4, 3, 2, 3, 0, 1, 0, 2, 0, 0, 4, 2, 3, 2, 1, 2, 3, 0, 0, 4, 2, 2, 1, 1, 2, 0, 0, 0, 0, 3, 2, 2, 2, 3, 3, 2, 0] pubkeycol1291 = [4, 3, 4, 4, 3, 1, 2, 2, 0, 0, 0, 0, 4, 1, 0, 0, 3, 4, 1, 4, 2, 2, 0, 4, 1, 2, 4, 4, 4, 2, 0, 3, 4, 4, 2, 4, 0, 1, 4, 2, 3, 3, 3, 3, 4, 1, 3, 1, 0, 1, 4, 1, 3, 4, 3, 4, 2, 4, 3, 2, 1, 4, 2, 3, 3, 2, 2, 4, 4, 1, 3, 4, 0, 0, 1, 2, 4, 1, 0, 2, 4, 0, 3, 1, 1, 4, 3, 0, 2, 0, 1, 2, 0, 1, 0, 3, 1, 0, 4, 2, 1, 2, 2, 1, 3, 3, 4, 0, 3, 4, 0, 2, 1, 3, 2, 0, 2, 1, 4, 2, 4, 4, 4, 4, 4, 0, 4, 1, 2, 2, 1, 0, 4, 3, 1, 0, 1, 4, 3, 3, 0, 0, 0, 0, 1, 4, 2, 3, 0, 0, 4, 4, 3, 0, 3, 0, 0, 2, 0, 4, 2, 0, 0, 0, 4, 2, 4, 1, 1, 1, 3, 4, 2, 0, 0, 4, 4, 0, 0, 1, 0, 1, 4, 1, 1, 2, 4, 0, 3, 0, 3, 0, 4, 4, 2, 2, 3, 2, 0, 1, 4, 0, 0, 1, 0, 3, 3, 3, 1, 1, 3, 3, 4, 0, 0, 1, 4, 3, 4, 0, 2, 4, 0, 3, 3, 3, 0, 0, 2, 3, 0, 3, 1, 0, 2, 3, 2, 0, 3, 3, 0, 1, 4, 0, 2, 2, 1, 3, 2, 0, 3, 2, 2, 3, 3, 3, 4, 3, 2, 2, 3, 4, 0, 4, 2, 2, 2, 1, 4, 1, 3, 3, 0, 0, 4, 3, 3, 1, 3, 2, 1, 4, 3, 3, 3, 3, 1, 0, 3, 3, 1, 0, 0, 3, 2, 4, 4, 2, 2, 2, 1, 4, 1, 0, 0, 4, 0, 4, 0, 3, 2, 3, 2, 1, 2, 1, 1, 0, 0, 4, 0, 4, 1, 4, 3, 2, 0, 3, 4, 1, 1, 4, 1, 4, 1, 1, 0, 0, 0, 2, 1, 0, 1, 3, 2, 4, 2, 4, 2, 1, 1, 3, 2, 3, 3, 4, 0, 1, 2, 4, 4, 1, 0, 1, 3, 1, 3, 1, 1, 1, 1, 4, 1, 2, 2, 3, 1, 0, 3, 4, 1, 0, 2, 2, 3, 2, 2, 4, 0, 0, 3, 3, 2, 3, 3, 2, 0, 2, 3, 3] pubkeycol1292 = [2, 4, 2, 4, 0, 3, 1, 3, 4, 0, 3, 1, 4, 1, 2, 3, 2, 0, 4, 2, 1, 0, 4, 2, 4, 2, 3, 2, 4, 2, 2, 3, 2, 3, 1, 1, 0, 2, 4, 1, 2, 4, 1, 4, 1, 3, 3, 3, 4, 4, 0, 4, 2, 3, 4, 1, 1, 1, 4, 3, 0, 1, 3, 3, 1, 0, 3, 3, 4, 4, 4, 3, 2, 1, 3, 2, 4, 4, 1, 1, 0, 0, 2, 1, 2, 2, 4, 1, 2, 0, 3, 0, 4, 1, 4, 4, 0, 0, 0, 4, 2, 0, 1, 2, 3, 1, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 2, 3, 3, 0, 2, 2, 3, 4, 4, 3, 3, 2, 3, 0, 1, 0, 3, 0, 0, 2, 3, 4, 1, 2, 2, 2, 3, 4, 4, 3, 0, 4, 0, 4, 1, 2, 3, 2, 4, 1, 0, 4, 3, 3, 2, 0, 2, 3, 0, 2, 4, 1, 1, 3, 2, 0, 2, 3, 4, 0, 3, 0, 0, 0, 1, 0, 2, 2, 1, 4, 2, 1, 0, 0, 3, 1, 2, 1, 2, 4, 0, 1, 3, 0, 1, 2, 0, 4, 3, 4, 4, 1, 4, 3, 4, 3, 2, 3, 2, 4, 2, 4, 0, 1, 4, 3, 4, 0, 2, 4, 0, 0, 0, 0, 1, 1, 3, 3, 2, 4, 3, 1, 0, 1, 3, 4, 3, 3, 3, 0, 0, 4, 1, 0, 3, 1, 4, 2, 4, 1, 0, 2, 0, 3, 4, 1, 0, 0, 4, 4, 3, 4, 0, 3, 1, 2, 2, 0, 2, 3, 1, 3, 1, 0, 1, 3, 2, 2, 4, 3, 1, 3, 2, 2, 2, 4, 3, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 4, 3, 3, 3, 0, 4, 1, 1, 0, 3, 0, 4, 3, 0, 4, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 4, 2, 2, 1, 2, 3, 3, 0, 3, 2, 1, 2, 1, 1, 3, 1, 3, 1, 4, 0, 0, 0, 1, 3, 0, 2, 0, 0, 4, 4, 2, 3, 3, 1, 1, 1, 1, 4, 3, 4, 1, 0, 3, 0, 0, 4, 4, 0, 0, 4, 2, 3, 3, 4, 2, 0, 2, 2, 3, 1, 4, 4, 4, 1, 4, 2, 0, 4, 2] pubkeycol1293 = [1, 2, 2, 0, 4, 0, 2, 0, 3, 0, 0, 3, 2, 2, 1, 0, 1, 4, 0, 1, 0, 0, 0, 2, 2, 3, 0, 2, 1, 0, 1, 3, 1, 0, 4, 2, 1, 0, 0, 1, 1, 3, 0, 1, 3, 0, 1, 3, 4, 2, 2, 3, 2, 4, 1, 4, 2, 1, 0, 4, 1, 1, 2, 2, 1, 1, 1, 4, 0, 3, 3, 1, 0, 0, 2, 1, 3, 1, 4, 3, 2, 4, 1, 1, 0, 1, 2, 2, 0, 4, 4, 2, 4, 0, 1, 1, 4, 0, 1, 0, 4, 4, 2, 1, 0, 0, 0, 3, 4, 0, 3, 3, 2, 4, 3, 0, 2, 1, 3, 1, 1, 4, 4, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 3, 1, 1, 1, 3, 0, 1, 3, 4, 3, 2, 3, 0, 0, 1, 2, 3, 0, 0, 1, 2, 3, 0, 1, 2, 4, 3, 1, 1, 2, 3, 4, 0, 3, 1, 3, 4, 0, 3, 1, 2, 4, 4, 2, 1, 3, 3, 2, 3, 1, 3, 2, 0, 3, 1, 1, 2, 1, 0, 4, 2, 0, 3, 4, 0, 4, 0, 0, 1, 3, 4, 0, 0, 3, 4, 2, 4, 3, 2, 2, 1, 4, 4, 3, 1, 0, 3, 4, 4, 0, 2, 2, 0, 1, 4, 0, 4, 1, 0, 4, 4, 4, 4, 1, 4, 0, 4, 0, 2, 1, 0, 1, 0, 4, 0, 4, 3, 3, 3, 0, 4, 3, 1, 3, 1, 4, 0, 3, 2, 4, 2, 4, 0, 2, 0, 4, 0, 4, 4, 2, 2, 0, 4, 1, 4, 4, 3, 4, 1, 4, 1, 3, 1, 1, 2, 4, 1, 2, 3, 3, 4, 1, 1, 3, 2, 4, 1, 2, 0, 4, 1, 3, 3, 2, 2, 3, 4, 2, 1, 2, 1, 4, 4, 4, 2, 4, 1, 0, 3, 1, 1, 3, 3, 4, 4, 0, 2, 1, 1, 1, 3, 3, 4, 4, 3, 3, 2, 2, 0, 1, 0, 3, 3, 3, 0, 0, 1, 0, 2, 0, 1, 1, 4, 3, 3, 4, 2, 2, 4, 1, 0, 0, 1, 4, 3, 3, 2, 1, 0, 2, 4, 2, 2, 3, 3, 1, 0, 3, 1, 0, 2, 0, 4, 1, 3, 1, 4, 1, 4, 0, 0, 2, 4, 4, 2, 0, 4] pubkeycol1294 = [3, 3, 2, 1, 4, 4, 2, 1, 0, 0, 1, 2, 1, 2, 1, 4, 2, 3, 1, 2, 0, 2, 4, 0, 4, 3, 3, 1, 3, 4, 4, 3, 2, 0, 2, 3, 3, 4, 2, 1, 2, 3, 3, 4, 0, 0, 0, 3, 0, 0, 2, 1, 0, 1, 1, 2, 2, 4, 1, 1, 0, 3, 0, 2, 2, 4, 0, 2, 0, 3, 3, 4, 1, 3, 0, 4, 2, 4, 4, 0, 3, 2, 2, 4, 0, 0, 2, 0, 3, 2, 4, 1, 3, 0, 4, 4, 4, 4, 0, 4, 0, 3, 4, 3, 0, 4, 2, 1, 0, 4, 4, 2, 3, 1, 3, 2, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 2, 3, 3, 0, 2, 3, 3, 3, 4, 2, 2, 2, 2, 2, 1, 4, 0, 2, 4, 0, 3, 3, 1, 3, 2, 4, 1, 4, 1, 1, 2, 0, 4, 1, 2, 0, 3, 3, 0, 3, 1, 2, 1, 2, 3, 2, 1, 2, 3, 0, 4, 0, 0, 3, 1, 0, 2, 3, 3, 1, 4, 1, 0, 4, 3, 4, 0, 3, 0, 2, 2, 1, 3, 4, 2, 2, 3, 2, 0, 1, 0, 1, 3, 0, 4, 1, 4, 3, 0, 1, 4, 0, 1, 1, 3, 4, 0, 4, 1, 1, 3, 2, 1, 3, 0, 3, 0, 1, 1, 0, 2, 1, 0, 3, 2, 0, 3, 4, 0, 4, 1, 1, 3, 4, 0, 1, 3, 2, 3, 2, 0, 0, 1, 4, 0, 1, 1, 0, 0, 3, 1, 1, 3, 3, 2, 4, 1, 2, 1, 1, 1, 1, 3, 2, 2, 4, 4, 0, 0, 3, 2, 4, 2, 3, 3, 1, 0, 3, 3, 1, 1, 4, 2, 3, 1, 3, 2, 1, 0, 1, 2, 0, 2, 1, 2, 3, 3, 0, 4, 0, 0, 0, 3, 0, 1, 3, 4, 4, 2, 0, 0, 0, 2, 2, 4, 0, 0, 1, 2, 3, 0, 1, 3, 4, 2, 3, 1, 2, 1, 3, 1, 2, 0, 0, 0, 4, 1, 2, 0, 4, 2, 0, 2, 2, 0, 3, 2, 4, 3, 1, 1, 1, 0, 0, 4, 0, 2, 0, 4, 1, 2, 4, 0, 4, 3, 3, 4, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 4, 4, 4, 4, 0, 3, 3] pubkeycol1295 = [4, 1, 3, 3, 3, 1, 3, 4, 1, 2, 4, 1, 2, 3, 4, 2, 0, 4, 1, 3, 2, 4, 2, 1, 1, 4, 1, 2, 1, 0, 1, 4, 2, 1, 3, 1, 1, 3, 3, 0, 4, 0, 2, 2, 4, 1, 0, 3, 1, 4, 3, 0, 1, 1, 4, 1, 4, 2, 3, 0, 3, 4, 1, 2, 2, 1, 1, 3, 0, 2, 0, 1, 2, 4, 1, 1, 3, 0, 4, 1, 3, 1, 2, 4, 2, 3, 0, 0, 0, 1, 1, 4, 3, 0, 1, 0, 4, 1, 2, 4, 0, 0, 4, 4, 3, 4, 1, 0, 2, 3, 3, 4, 2, 1, 4, 4, 3, 4, 2, 4, 4, 1, 2, 2, 0, 3, 2, 2, 3, 3, 3, 1, 0, 3, 3, 4, 3, 0, 4, 2, 4, 1, 1, 4, 4, 3, 3, 3, 3, 2, 3, 2, 4, 1, 2, 0, 4, 1, 4, 4, 0, 0, 3, 3, 3, 0, 1, 0, 0, 4, 0, 4, 1, 0, 4, 4, 1, 4, 1, 4, 0, 1, 2, 1, 4, 3, 4, 3, 2, 0, 0, 0, 2, 2, 0, 4, 1, 1, 2, 3, 4, 3, 4, 1, 1, 3, 2, 0, 0, 3, 3, 4, 0, 1, 0, 0, 4, 1, 2, 0, 2, 4, 2, 1, 0, 4, 2, 4, 1, 3, 1, 3, 2, 3, 2, 4, 3, 0, 3, 3, 0, 0, 4, 4, 1, 1, 3, 1, 3, 2, 2, 3, 4, 2, 3, 3, 1, 2, 1, 1, 1, 0, 0, 1, 1, 3, 0, 3, 0, 1, 2, 1, 0, 4, 2, 1, 3, 1, 3, 2, 2, 4, 4, 3, 3, 3, 2, 0, 3, 0, 4, 0, 2, 3, 4, 4, 0, 4, 4, 3, 2, 0, 4, 4, 3, 0, 2, 4, 2, 1, 0, 4, 2, 2, 0, 0, 1, 2, 2, 2, 4, 3, 3, 3, 4, 3, 4, 4, 2, 2, 2, 4, 2, 2, 0, 2, 3, 1, 2, 0, 1, 0, 4, 3, 0, 3, 1, 3, 0, 1, 3, 0, 2, 1, 3, 0, 3, 4, 0, 0, 3, 1, 1, 2, 0, 3, 2, 3, 1, 2, 3, 1, 3, 3, 4, 1, 4, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 2, 0, 3, 1, 4, 2, 0, 1, 4, 3, 3, 1, 0] pubkeycol1296 = [4, 0, 2, 0, 0, 3, 0, 3, 4, 3, 3, 0, 0, 4, 0, 3, 3, 0, 0, 2, 3, 2, 2, 1, 1, 0, 4, 0, 0, 0, 1, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 1, 4, 4, 1, 0, 3, 0, 3, 0, 4, 0, 3, 2, 2, 0, 3, 1, 2, 0, 0, 4, 1, 0, 1, 3, 4, 4, 0, 2, 0, 4, 0, 0, 0, 3, 4, 3, 1, 3, 3, 2, 1, 4, 3, 3, 2, 4, 4, 2, 2, 2, 4, 2, 4, 2, 2, 2, 2, 0, 0, 3, 2, 0, 4, 3, 4, 2, 2, 4, 2, 3, 4, 1, 3, 4, 1, 2, 1, 1, 3, 1, 4, 2, 0, 0, 0, 3, 4, 1, 3, 2, 3, 0, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 3, 0, 3, 2, 3, 0, 1, 0, 1, 2, 4, 3, 3, 3, 3, 3, 4, 1, 3, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 3, 1, 4, 3, 0, 2, 1, 1, 2, 3, 4, 1, 2, 0, 3, 4, 4, 1, 0, 1, 2, 2, 3, 4, 1, 1, 0, 4, 3, 0, 0, 1, 3, 1, 4, 1, 0, 0, 0, 3, 2, 2, 0, 4, 0, 0, 1, 1, 3, 0, 3, 1, 4, 4, 1, 1, 4, 4, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 4, 0, 0, 3, 2, 4, 3, 2, 4, 3, 2, 1, 2, 2, 0, 3, 2, 0, 3, 2, 1, 4, 3, 0, 0, 3, 0, 4, 0, 2, 1, 3, 3, 3, 4, 0, 0, 3, 3, 2, 0, 4, 4, 0, 2, 0, 3, 1, 1, 4, 3, 4, 1, 3, 0, 1, 4, 1, 3, 4, 1, 3, 3, 1, 2, 0, 1, 3, 2, 0, 2, 0, 2, 3, 4, 3, 0, 2, 4, 3, 3, 3, 4, 0, 2, 0, 0, 3, 0, 1, 3, 0, 2, 0, 1, 0, 3, 4, 3, 2, 3, 3, 1, 4, 2, 1, 1, 3, 1, 4, 3, 0, 2, 4, 0, 0, 0, 1, 3, 3, 2, 0, 1, 3, 3, 1, 2, 1, 0, 2, 2, 3, 3, 4, 3, 2, 1, 1, 4, 0, 3, 4, 3, 1, 2, 4, 2, 2, 1, 1, 0, 0, 0, 3, 1, 3, 0, 4] pubkeycol1297 = [2, 2, 3, 1, 3, 1, 3, 3, 1, 0, 4, 1, 2, 2, 0, 3, 0, 3, 2, 3, 2, 0, 1, 3, 1, 1, 4, 2, 4, 3, 2, 3, 4, 3, 4, 0, 1, 2, 2, 3, 0, 4, 2, 0, 2, 1, 3, 3, 0, 3, 0, 1, 1, 2, 4, 1, 3, 4, 2, 2, 2, 0, 0, 4, 0, 3, 4, 3, 0, 4, 4, 3, 1, 1, 0, 2, 1, 1, 4, 1, 2, 1, 3, 4, 1, 1, 0, 0, 1, 1, 2, 0, 2, 3, 0, 4, 2, 0, 1, 2, 4, 4, 4, 1, 2, 0, 0, 2, 2, 3, 1, 0, 0, 4, 2, 4, 3, 3, 0, 3, 2, 2, 4, 4, 4, 0, 0, 4, 0, 3, 2, 3, 1, 2, 2, 2, 1, 2, 3, 2, 3, 4, 2, 4, 3, 4, 1, 3, 0, 4, 0, 1, 1, 3, 3, 4, 1, 1, 3, 1, 0, 0, 4, 3, 3, 2, 4, 0, 4, 3, 0, 3, 3, 1, 0, 0, 4, 3, 4, 3, 1, 2, 3, 0, 0, 4, 4, 3, 4, 0, 4, 1, 1, 1, 2, 0, 4, 4, 3, 4, 4, 3, 2, 2, 1, 4, 3, 2, 0, 2, 1, 3, 0, 2, 1, 3, 1, 1, 4, 0, 4, 3, 1, 2, 1, 4, 1, 1, 1, 4, 4, 2, 3, 3, 2, 3, 1, 2, 3, 0, 0, 1, 4, 2, 0, 0, 3, 0, 3, 2, 0, 2, 4, 4, 2, 4, 1, 1, 1, 3, 4, 4, 3, 0, 3, 2, 1, 4, 1, 3, 3, 1, 1, 4, 0, 3, 3, 3, 2, 2, 2, 0, 1, 2, 4, 2, 3, 4, 0, 2, 3, 1, 1, 3, 4, 1, 1, 0, 4, 1, 2, 2, 2, 2, 4, 4, 1, 1, 4, 0, 3, 0, 0, 0, 2, 4, 2, 2, 4, 1, 2, 4, 0, 3, 4, 0, 2, 4, 0, 3, 3, 3, 4, 1, 2, 1, 2, 3, 2, 3, 4, 0, 4, 0, 2, 0, 3, 2, 2, 3, 4, 3, 4, 2, 0, 0, 0, 3, 1, 0, 0, 4, 2, 2, 1, 4, 0, 3, 2, 1, 1, 2, 4, 4, 2, 4, 4, 0, 3, 0, 0, 0, 4, 2, 0, 4, 4, 0, 2, 1, 4, 2, 1, 4, 2, 3, 1, 1, 1, 0] pubkeycol1298 = [3, 1, 1, 0, 2, 1, 4, 1, 3, 2, 0, 0, 3, 0, 0, 4, 0, 3, 4, 2, 4, 1, 3, 4, 2, 1, 2, 3, 4, 4, 3, 3, 3, 3, 0, 0, 4, 0, 2, 4, 2, 1, 0, 0, 2, 2, 0, 2, 1, 3, 3, 4, 1, 2, 1, 4, 4, 1, 3, 4, 0, 3, 0, 3, 2, 4, 1, 4, 0, 0, 1, 4, 2, 3, 2, 0, 3, 1, 2, 1, 0, 0, 2, 2, 4, 1, 4, 1, 1, 2, 3, 1, 1, 3, 2, 3, 3, 1, 1, 2, 0, 0, 1, 1, 0, 1, 3, 4, 0, 1, 4, 0, 3, 2, 0, 3, 2, 4, 1, 0, 1, 2, 0, 2, 1, 0, 3, 1, 1, 1, 1, 4, 0, 1, 1, 0, 0, 3, 0, 1, 3, 3, 4, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 3, 4, 2, 4, 2, 3, 3, 3, 2, 3, 1, 3, 0, 0, 0, 2, 1, 4, 1, 2, 2, 0, 4, 0, 1, 2, 2, 0, 1, 3, 3, 2, 2, 2, 1, 3, 2, 4, 3, 2, 3, 3, 1, 3, 0, 2, 4, 3, 2, 4, 4, 2, 0, 1, 2, 1, 1, 3, 4, 0, 2, 0, 1, 1, 2, 2, 0, 4, 4, 1, 0, 0, 3, 1, 3, 4, 4, 0, 0, 1, 3, 2, 0, 2, 3, 1, 2, 1, 2, 1, 4, 0, 2, 4, 4, 3, 0, 4, 4, 0, 3, 4, 2, 3, 2, 0, 2, 0, 1, 2, 0, 3, 3, 0, 1, 0, 0, 3, 3, 1, 0, 1, 0, 0, 2, 2, 3, 4, 0, 3, 4, 1, 1, 4, 3, 2, 0, 0, 1, 3, 4, 1, 4, 1, 3, 2, 1, 1, 2, 3, 3, 4, 2, 1, 2, 1, 3, 1, 3, 4, 0, 1, 3, 0, 3, 4, 2, 3, 4, 3, 1, 2, 3, 3, 1, 2, 3, 1, 4, 3, 3, 2, 2, 4, 3, 1, 3, 0, 1, 1, 4, 1, 2, 2, 0, 3, 2, 3, 0, 2, 3, 3, 1, 2, 3, 1, 2, 3, 0, 0, 3, 3, 4, 0, 0, 2, 4, 1, 0, 4, 2, 3, 3, 3, 1, 0, 4, 4, 3, 0, 0, 3, 1, 3, 3, 4, 2, 0, 3, 3, 0, 4, 1, 1, 3, 0, 4] pubkeycol1299 = [1, 2, 3, 2, 0, 2, 0, 1, 3, 0, 1, 4, 1, 0, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 0, 3, 4, 2, 1, 4, 0, 2, 4, 0, 0, 1, 4, 3, 1, 2, 3, 0, 0, 0, 4, 2, 0, 2, 3, 3, 1, 2, 2, 3, 4, 2, 3, 1, 2, 3, 3, 2, 1, 3, 4, 1, 1, 2, 1, 4, 2, 2, 0, 0, 2, 4, 1, 4, 2, 2, 3, 2, 1, 0, 3, 0, 1, 4, 4, 3, 3, 0, 4, 2, 0, 4, 0, 3, 1, 3, 3, 0, 2, 1, 1, 2, 2, 0, 1, 4, 0, 2, 2, 4, 3, 3, 0, 0, 1, 3, 1, 4, 0, 2, 4, 0, 2, 1, 4, 0, 1, 0, 3, 1, 2, 2, 3, 3, 0, 3, 0, 1, 3, 3, 4, 1, 3, 4, 4, 0, 3, 2, 3, 0, 0, 0, 0, 4, 1, 1, 0, 2, 2, 2, 1, 3, 3, 4, 3, 0, 3, 0, 4, 0, 1, 4, 1, 4, 2, 1, 4, 1, 3, 0, 3, 0, 3, 2, 3, 4, 4, 0, 4, 3, 0, 0, 4, 4, 0, 4, 3, 1, 3, 3, 3, 0, 0, 4, 0, 0, 3, 4, 1, 3, 3, 3, 3, 4, 1, 4, 2, 1, 4, 4, 1, 1, 3, 0, 3, 2, 1, 1, 3, 3, 2, 3, 2, 0, 3, 3, 0, 1, 3, 1, 2, 4, 4, 3, 0, 3, 4, 3, 2, 1, 4, 0, 2, 1, 2, 4, 1, 0, 0, 3, 0, 3, 1, 4, 0, 3, 0, 4, 1, 1, 2, 1, 3, 0, 4, 0, 0, 3, 2, 3, 2, 1, 0, 0, 1, 2, 3, 3, 4, 3, 1, 2, 1, 0, 1, 4, 1, 4, 0, 4, 3, 3, 0, 3, 1, 1, 3, 1, 4, 0, 3, 4, 0, 0, 0, 3, 1, 4, 2, 3, 4, 4, 3, 4, 4, 2, 1, 3, 1, 0, 1, 1, 3, 1, 4, 0, 4, 0, 0, 2, 3, 1, 0, 4, 2, 4, 0, 0, 3, 0, 4, 4, 3, 0, 3, 3, 4, 4, 0, 0, 3, 1, 1, 3, 0, 4, 1, 1, 4, 3, 0, 3, 4, 0, 2, 0, 3, 2, 2, 4, 3, 1, 3, 4, 3, 4, 1, 3, 2, 4, 2, 0, 1, 1, 0, 2] pubkeycol1300 = [1, 4, 4, 4, 3, 4, 1, 2, 0, 2, 1, 3, 2, 2, 0, 4, 2, 1, 1, 1, 4, 4, 2, 3, 4, 1, 3, 0, 2, 2, 2, 3, 0, 0, 4, 0, 1, 0, 2, 1, 4, 4, 1, 2, 3, 4, 3, 4, 1, 2, 1, 4, 3, 0, 1, 4, 2, 3, 0, 0, 3, 3, 4, 3, 3, 4, 1, 1, 4, 3, 4, 4, 0, 3, 1, 2, 2, 4, 1, 0, 1, 4, 4, 0, 1, 4, 0, 1, 1, 1, 0, 1, 1, 4, 0, 0, 4, 4, 1, 1, 3, 0, 1, 4, 1, 3, 1, 1, 4, 0, 1, 3, 3, 3, 0, 2, 3, 4, 3, 0, 2, 1, 2, 0, 4, 4, 4, 2, 4, 0, 1, 0, 1, 2, 4, 1, 4, 3, 2, 0, 0, 1, 0, 4, 0, 2, 1, 4, 0, 3, 0, 1, 1, 0, 0, 4, 1, 4, 3, 1, 3, 1, 0, 2, 4, 0, 4, 1, 2, 4, 0, 1, 0, 3, 0, 4, 1, 4, 2, 1, 0, 0, 3, 4, 3, 1, 3, 1, 4, 1, 0, 0, 2, 4, 3, 0, 2, 2, 4, 3, 4, 0, 2, 0, 2, 2, 4, 4, 1, 0, 0, 1, 1, 2, 0, 2, 3, 2, 3, 2, 1, 0, 4, 1, 2, 0, 1, 4, 2, 0, 3, 0, 3, 2, 0, 4, 3, 2, 0, 4, 1, 1, 4, 1, 1, 1, 3, 1, 3, 0, 4, 0, 4, 1, 0, 0, 4, 2, 4, 3, 2, 4, 2, 2, 4, 4, 3, 4, 4, 2, 0, 2, 3, 1, 4, 3, 4, 3, 4, 3, 4, 1, 2, 3, 2, 3, 0, 1, 4, 2, 4, 0, 1, 0, 3, 0, 3, 2, 4, 2, 1, 3, 0, 0, 4, 0, 2, 0, 1, 1, 1, 3, 1, 4, 1, 1, 4, 3, 3, 2, 0, 0, 0, 1, 2, 2, 2, 4, 1, 4, 4, 1, 0, 1, 0, 4, 4, 3, 1, 0, 4, 4, 0, 0, 2, 3, 3, 1, 2, 3, 0, 2, 0, 1, 1, 2, 0, 4, 0, 2, 2, 4, 1, 2, 0, 1, 4, 4, 4, 0, 0, 2, 3, 3, 3, 3, 4, 2, 1, 1, 2, 4, 0, 4, 3, 2, 0, 3, 4, 3, 4, 1, 3, 0, 4, 3, 3, 4, 2, 2] pubkeycol1301 = [3, 3, 4, 0, 0, 4, 3, 4, 4, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 3, 4, 3, 3, 4, 3, 3, 3, 1, 0, 3, 3, 2, 3, 3, 0, 3, 2, 0, 1, 1, 2, 1, 1, 3, 3, 4, 0, 1, 2, 3, 3, 2, 2, 1, 4, 0, 4, 1, 4, 4, 2, 1, 1, 2, 4, 2, 3, 1, 4, 3, 0, 4, 0, 4, 3, 1, 3, 1, 0, 4, 1, 0, 3, 0, 1, 2, 3, 0, 1, 3, 0, 3, 3, 2, 3, 0, 2, 4, 2, 3, 3, 2, 1, 4, 1, 3, 1, 1, 3, 1, 3, 3, 1, 0, 2, 1, 4, 2, 2, 0, 0, 2, 1, 1, 3, 3, 0, 0, 3, 0, 3, 2, 3, 0, 1, 1, 1, 2, 0, 1, 3, 3, 0, 4, 4, 1, 0, 1, 4, 2, 3, 0, 0, 4, 0, 2, 0, 4, 0, 3, 4, 4, 4, 4, 2, 4, 0, 0, 0, 2, 1, 1, 4, 0, 4, 0, 3, 4, 3, 1, 3, 1, 1, 2, 4, 0, 1, 3, 4, 4, 4, 2, 0, 4, 1, 1, 0, 4, 1, 4, 4, 4, 2, 0, 4, 3, 4, 0, 0, 1, 1, 1, 4, 4, 2, 3, 2, 1, 4, 2, 4, 1, 4, 4, 3, 3, 2, 1, 2, 0, 0, 4, 3, 2, 4, 0, 3, 2, 3, 2, 3, 3, 1, 2, 3, 0, 2, 1, 2, 2, 4, 3, 3, 0, 4, 1, 0, 1, 1, 2, 0, 3, 0, 1, 1, 3, 0, 0, 4, 2, 3, 4, 4, 3, 2, 3, 0, 2, 0, 2, 4, 3, 4, 2, 3, 2, 3, 3, 2, 0, 4, 1, 1, 4, 1, 4, 4, 2, 1, 2, 4, 3, 1, 3, 3, 4, 2, 1, 0, 2, 4, 3, 2, 2, 2, 3, 0, 2, 4, 1, 0, 1, 0, 1, 0, 3, 4, 1, 1, 1, 0, 3, 3, 3, 3, 3, 1, 1, 4, 0, 2, 4, 3, 3, 4, 0, 0, 2, 3, 2, 3, 4, 4, 1, 1, 3, 2, 0, 1, 4, 3, 0, 1, 2, 2, 3, 3, 2, 0, 0, 1, 4, 3, 0, 4, 3, 0, 4, 0, 0, 4, 3, 2, 2, 1, 4, 3, 2, 0, 4, 4, 3, 1, 2, 4, 1, 4, 2, 0, 4] pubkeycol1302 = [4, 3, 3, 4, 4, 3, 4, 2, 0, 0, 0, 3, 0, 2, 0, 4, 0, 3, 3, 1, 4, 0, 3, 4, 2, 4, 0, 2, 4, 1, 4, 3, 3, 1, 0, 4, 1, 4, 2, 4, 4, 3, 4, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 1, 2, 3, 1, 1, 0, 4, 2, 0, 3, 2, 3, 2, 3, 3, 4, 3, 1, 1, 0, 4, 0, 0, 1, 4, 1, 1, 3, 2, 2, 4, 4, 0, 4, 4, 0, 2, 2, 1, 3, 4, 3, 1, 1, 2, 1, 3, 1, 4, 0, 4, 0, 0, 3, 3, 3, 4, 2, 3, 1, 4, 4, 0, 0, 4, 3, 3, 2, 2, 4, 2, 3, 2, 0, 2, 1, 4, 0, 2, 1, 0, 3, 1, 2, 1, 4, 3, 1, 0, 0, 2, 4, 3, 2, 3, 1, 4, 4, 0, 0, 3, 0, 0, 4, 3, 3, 1, 2, 3, 4, 2, 1, 0, 3, 0, 3, 0, 3, 1, 0, 4, 0, 0, 1, 0, 4, 1, 1, 2, 1, 3, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 4, 3, 1, 1, 3, 0, 2, 0, 4, 3, 0, 3, 0, 3, 1, 2, 2, 1, 2, 1, 4, 0, 3, 1, 1, 1, 3, 1, 1, 0, 3, 4, 3, 2, 4, 3, 0, 4, 0, 4, 3, 0, 3, 0, 0, 2, 3, 3, 3, 3, 4, 2, 1, 4, 3, 1, 0, 0, 0, 0, 3, 2, 3, 1, 4, 0, 0, 1, 0, 0, 0, 3, 0, 1, 1, 1, 1, 2, 2, 0, 0, 3, 4, 1, 3, 3, 3, 0, 0, 4, 0, 1, 4, 1, 4, 2, 4, 4, 0, 1, 4, 0, 2, 3, 2, 0, 2, 1, 3, 4, 3, 0, 3, 1, 0, 0, 1, 1, 3, 4, 2, 2, 4, 0, 0, 2, 0, 4, 2, 4, 0, 3, 1, 0, 2, 3, 3, 3, 4, 1, 0, 0, 0, 3, 1, 2, 0, 0, 0, 3, 1, 1, 4, 4, 0, 3, 0, 4, 3, 4, 1, 0, 2, 4, 3, 0, 0, 1, 4, 0, 3, 0, 4, 0, 2, 4, 3, 0, 1, 0, 1, 1, 3, 1, 1, 2, 0, 0, 3, 0, 1, 2, 3, 4, 3, 1, 2, 2, 4, 0, 0, 0, 4, 3, 2, 1] pubkeycol1303 = [1, 3, 3, 2, 1, 3, 3, 0, 4, 4, 1, 0, 1, 4, 0, 0, 3, 4, 1, 0, 0, 3, 4, 0, 3, 1, 4, 1, 4, 1, 0, 4, 2, 2, 4, 2, 1, 0, 4, 1, 0, 4, 3, 3, 4, 3, 3, 4, 0, 2, 3, 1, 3, 2, 2, 4, 3, 1, 1, 2, 4, 0, 0, 0, 2, 3, 1, 3, 0, 3, 2, 2, 3, 0, 4, 0, 3, 2, 1, 1, 1, 4, 4, 0, 4, 0, 0, 3, 3, 0, 4, 3, 2, 0, 3, 4, 4, 1, 1, 2, 0, 4, 1, 1, 1, 4, 4, 4, 3, 3, 0, 1, 4, 1, 2, 1, 2, 2, 4, 2, 1, 4, 4, 2, 4, 3, 2, 4, 2, 4, 1, 4, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 3, 1, 4, 0, 1, 3, 0, 0, 2, 0, 3, 4, 4, 1, 4, 4, 2, 1, 0, 2, 0, 0, 4, 3, 3, 1, 3, 0, 4, 1, 0, 2, 2, 4, 3, 4, 4, 4, 0, 2, 3, 1, 3, 2, 4, 2, 3, 1, 0, 3, 4, 2, 3, 3, 1, 0, 2, 1, 3, 4, 0, 2, 0, 0, 2, 1, 2, 3, 4, 1, 2, 4, 3, 3, 1, 4, 4, 4, 1, 1, 2, 0, 2, 3, 1, 0, 0, 3, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 4, 1, 0, 1, 3, 1, 3, 4, 1, 3, 2, 2, 0, 3, 1, 2, 3, 1, 4, 3, 0, 0, 1, 4, 4, 2, 1, 4, 4, 2, 1, 0, 3, 4, 3, 1, 4, 3, 1, 4, 3, 3, 4, 1, 1, 0, 2, 0, 4, 1, 4, 4, 0, 4, 2, 0, 2, 4, 3, 1, 2, 4, 1, 3, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 3, 2, 2, 0, 3, 2, 4, 0, 2, 1, 4, 0, 0, 3, 3, 0, 4, 1, 2, 2, 0, 0, 1, 3, 4, 0, 2, 0, 0, 3, 1, 1, 4, 1, 0, 2, 1, 0, 4, 3, 0, 4, 4, 2, 4, 1, 2, 1, 1, 2, 0, 1, 0, 1, 4, 4, 1, 4, 3, 0, 3, 0, 3, 2, 1, 0, 0, 4, 2, 0, 0, 1, 2, 2, 2, 2, 4, 4, 3, 3, 2, 3, 2] pubkeycol1304 = [1, 2, 0, 0, 1, 1, 3, 0, 2, 0, 4, 2, 4, 0, 4, 1, 3, 2, 3, 1, 2, 4, 1, 0, 4, 3, 2, 1, 2, 0, 2, 3, 3, 0, 1, 3, 3, 4, 0, 0, 1, 1, 3, 1, 1, 1, 1, 0, 3, 0, 2, 2, 3, 2, 1, 3, 3, 1, 3, 0, 2, 2, 2, 3, 3, 2, 1, 0, 1, 4, 4, 1, 3, 4, 2, 2, 0, 2, 0, 2, 0, 3, 0, 4, 3, 1, 4, 3, 4, 4, 3, 2, 2, 3, 0, 4, 3, 0, 1, 1, 0, 3, 0, 3, 2, 1, 0, 3, 4, 1, 3, 4, 3, 3, 1, 3, 4, 3, 2, 2, 0, 4, 2, 0, 3, 2, 2, 0, 3, 2, 2, 3, 2, 0, 1, 1, 1, 3, 0, 4, 3, 2, 4, 1, 0, 2, 2, 3, 3, 0, 2, 4, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 4, 0, 3, 3, 4, 4, 1, 3, 3, 2, 3, 4, 3, 0, 2, 2, 4, 4, 4, 3, 2, 0, 2, 0, 4, 0, 1, 0, 2, 0, 2, 4, 0, 0, 1, 1, 1, 3, 1, 0, 2, 2, 0, 3, 3, 4, 1, 2, 4, 0, 4, 4, 3, 0, 4, 4, 0, 1, 3, 4, 1, 3, 2, 2, 2, 3, 2, 4, 2, 3, 2, 1, 4, 4, 3, 1, 0, 2, 0, 0, 4, 1, 2, 1, 3, 3, 2, 1, 0, 3, 1, 2, 3, 3, 0, 2, 3, 2, 2, 3, 4, 2, 2, 2, 2, 4, 3, 3, 4, 3, 2, 3, 3, 1, 2, 0, 4, 0, 1, 3, 2, 2, 4, 3, 3, 0, 0, 1, 3, 2, 3, 2, 4, 2, 0, 3, 1, 0, 3, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 1, 0, 2, 1, 1, 2, 1, 4, 0, 0, 2, 3, 2, 4, 3, 3, 4, 0, 0, 1, 4, 3, 3, 4, 0, 3, 4, 0, 4, 4, 1, 0, 1, 0, 0, 1, 0, 0, 0, 3, 0, 1, 0, 2, 2, 0, 1, 3, 4, 1, 2, 3, 3, 0, 3, 1, 4, 3, 3, 1, 3, 0, 0, 2, 1, 3, 4, 0, 4, 1, 0, 4, 4, 4, 1, 1, 1, 1, 1, 0, 4, 4, 1, 3, 0, 2, 3, 2, 4] pubkeycol1305 = [1, 4, 2, 2, 1, 4, 3, 3, 4, 0, 3, 2, 0, 2, 1, 2, 2, 4, 0, 1, 2, 4, 4, 3, 1, 3, 3, 2, 0, 0, 0, 2, 3, 2, 1, 2, 4, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 3, 4, 1, 4, 2, 2, 3, 0, 4, 1, 2, 2, 1, 0, 0, 3, 0, 3, 3, 1, 3, 4, 2, 1, 4, 1, 0, 0, 2, 3, 0, 2, 3, 1, 3, 2, 2, 3, 4, 0, 2, 0, 1, 4, 3, 2, 3, 2, 2, 4, 4, 2, 1, 0, 2, 1, 1, 2, 1, 4, 3, 4, 2, 0, 2, 3, 0, 3, 1, 1, 0, 4, 3, 2, 0, 4, 3, 1, 3, 2, 4, 1, 2, 0, 2, 1, 0, 2, 3, 4, 3, 3, 4, 2, 1, 1, 0, 0, 2, 2, 1, 0, 4, 3, 4, 4, 3, 3, 1, 4, 0, 0, 1, 1, 4, 4, 0, 3, 0, 1, 2, 1, 3, 0, 1, 3, 0, 1, 0, 4, 4, 4, 4, 1, 1, 2, 3, 4, 3, 4, 3, 4, 4, 3, 1, 3, 0, 0, 0, 2, 1, 4, 2, 4, 2, 4, 2, 0, 0, 0, 3, 1, 0, 2, 1, 1, 3, 0, 2, 3, 1, 2, 0, 4, 4, 3, 0, 1, 3, 0, 2, 4, 2, 2, 0, 3, 0, 0, 1, 3, 3, 0, 4, 2, 2, 2, 4, 3, 2, 0, 0, 0, 1, 2, 0, 0, 3, 4, 1, 4, 4, 3, 2, 1, 4, 2, 2, 3, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 3, 0, 2, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 1, 2, 4, 3, 0, 2, 4, 2, 0, 4, 4, 3, 3, 1, 4, 2, 2, 4, 4, 0, 2, 2, 3, 2, 0, 1, 4, 1, 3, 0, 4, 4, 1, 2, 0, 2, 1, 3, 1, 4, 1, 1, 3, 4, 4, 1, 0, 4, 2, 3, 4, 4, 4, 1, 4, 4, 4, 1, 0, 4, 2, 1, 4, 4, 2, 4, 3, 0, 3, 4, 4, 1, 4, 1, 1, 0, 2, 3, 3, 2, 4, 1, 2, 2, 4, 1, 0, 3, 2, 2, 3, 4, 2, 3, 3, 0, 2, 3, 2, 0, 0, 2, 3, 0] pubkeycol1306 = [4, 0, 2, 2, 3, 3, 0, 3, 4, 1, 4, 1, 1, 3, 1, 1, 2, 1, 2, 3, 3, 4, 0, 1, 4, 3, 1, 3, 2, 4, 2, 0, 2, 1, 3, 1, 0, 4, 3, 0, 2, 1, 0, 4, 0, 4, 3, 0, 4, 3, 1, 0, 0, 3, 4, 1, 0, 3, 0, 1, 4, 4, 0, 3, 2, 0, 1, 3, 4, 0, 0, 3, 3, 1, 0, 2, 0, 4, 3, 2, 3, 0, 1, 4, 4, 4, 0, 0, 3, 1, 0, 0, 4, 1, 2, 4, 2, 0, 1, 1, 1, 2, 2, 3, 0, 0, 1, 1, 1, 2, 3, 2, 3, 2, 4, 0, 3, 1, 4, 1, 2, 0, 1, 1, 1, 0, 2, 4, 2, 4, 0, 0, 4, 0, 2, 2, 1, 2, 1, 4, 1, 4, 3, 0, 4, 1, 3, 4, 4, 2, 4, 4, 4, 0, 1, 3, 4, 3, 4, 0, 1, 4, 1, 4, 2, 0, 0, 4, 0, 4, 4, 3, 4, 0, 1, 2, 4, 4, 2, 1, 4, 2, 4, 4, 3, 3, 4, 3, 2, 3, 2, 4, 0, 0, 0, 3, 3, 3, 1, 2, 1, 2, 4, 1, 0, 4, 2, 0, 2, 0, 1, 3, 2, 3, 1, 0, 0, 3, 2, 1, 4, 1, 1, 1, 4, 2, 1, 4, 4, 4, 4, 0, 2, 4, 0, 0, 2, 3, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 3, 1, 2, 0, 4, 0, 0, 4, 4, 3, 0, 1, 3, 3, 3, 3, 4, 1, 0, 4, 3, 3, 3, 3, 1, 0, 1, 0, 1, 0, 3, 2, 3, 0, 2, 3, 2, 2, 2, 3, 3, 0, 4, 4, 3, 3, 2, 3, 4, 1, 3, 1, 1, 4, 2, 3, 4, 0, 4, 4, 2, 0, 3, 2, 3, 3, 2, 3, 4, 3, 2, 1, 3, 1, 0, 3, 1, 0, 1, 3, 0, 2, 1, 1, 0, 3, 1, 4, 0, 4, 1, 4, 1, 4, 2, 0, 1, 0, 0, 3, 2, 3, 1, 2, 4, 1, 0, 3, 2, 1, 3, 1, 0, 4, 1, 1, 0, 4, 2, 0, 0, 4, 2, 4, 4, 0, 0, 4, 1, 4, 0, 3, 4, 3, 4, 1, 1, 3, 0, 0, 2, 1, 3, 0, 3, 0, 3, 2, 4, 2, 3, 0] pubkeycol1307 = [0, 4, 2, 1, 0, 4, 1, 2, 2, 0, 0, 0, 1, 3, 4, 0, 3, 4, 3, 1, 4, 0, 3, 1, 4, 3, 0, 4, 3, 2, 0, 0, 4, 0, 4, 0, 4, 2, 1, 4, 3, 1, 4, 2, 4, 2, 4, 2, 2, 4, 3, 4, 0, 3, 1, 0, 0, 0, 1, 0, 3, 0, 2, 1, 0, 0, 1, 1, 4, 2, 0, 3, 3, 3, 0, 4, 2, 1, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 4, 3, 3, 1, 4, 4, 3, 2, 2, 3, 4, 4, 1, 0, 0, 0, 4, 1, 4, 1, 1, 1, 1, 1, 3, 2, 0, 4, 3, 4, 1, 2, 0, 1, 2, 3, 3, 1, 0, 1, 3, 0, 0, 1, 3, 0, 4, 1, 3, 1, 2, 1, 0, 4, 3, 2, 2, 4, 2, 0, 0, 4, 0, 0, 3, 4, 3, 2, 0, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 3, 0, 0, 1, 4, 2, 2, 4, 0, 3, 1, 0, 2, 4, 3, 0, 3, 1, 3, 0, 3, 3, 0, 2, 1, 0, 3, 0, 2, 4, 4, 3, 3, 3, 3, 1, 1, 3, 0, 0, 3, 0, 0, 4, 4, 2, 0, 3, 0, 3, 2, 1, 1, 4, 4, 1, 1, 4, 0, 1, 3, 1, 0, 1, 1, 4, 4, 4, 1, 2, 3, 0, 2, 4, 2, 4, 2, 4, 4, 0, 4, 1, 4, 4, 0, 2, 1, 1, 0, 3, 1, 3, 0, 0, 4, 4, 3, 2, 2, 2, 2, 3, 3, 3, 0, 3, 3, 2, 1, 4, 0, 4, 2, 3, 1, 0, 4, 4, 1, 1, 1, 0, 4, 2, 2, 4, 2, 1, 3, 4, 3, 3, 0, 3, 2, 1, 2, 0, 2, 3, 2, 4, 3, 2, 3, 2, 3, 3, 4, 3, 2, 1, 1, 0, 0, 4, 2, 2, 3, 0, 1, 4, 0, 2, 4, 2, 1, 3, 3, 0, 3, 1, 1, 1, 4, 3, 1, 0, 3, 2, 0, 3, 3, 0, 4, 2, 2, 0, 2, 0, 3, 2, 2, 1, 2, 3, 4, 3, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 3, 1, 0, 0, 4, 4, 0, 0, 1, 1, 3, 3, 4, 4, 3, 3, 3, 2, 3, 0, 2, 1, 3, 3, 4] pubkeycol1308 = [4, 4, 0, 3, 4, 4, 4, 1, 3, 0, 2, 2, 2, 3, 0, 3, 0, 1, 0, 3, 2, 0, 2, 1, 0, 2, 2, 3, 4, 4, 3, 0, 2, 0, 4, 1, 4, 1, 4, 3, 0, 0, 1, 0, 3, 1, 0, 4, 2, 3, 0, 4, 4, 2, 2, 0, 0, 0, 4, 1, 4, 0, 2, 2, 3, 4, 4, 2, 3, 0, 3, 4, 1, 4, 4, 4, 4, 4, 0, 4, 3, 1, 4, 3, 3, 4, 3, 4, 4, 0, 3, 1, 1, 3, 2, 1, 0, 4, 2, 4, 3, 1, 3, 2, 4, 2, 2, 1, 1, 3, 4, 0, 0, 3, 4, 2, 4, 0, 0, 4, 4, 0, 0, 2, 3, 1, 3, 2, 2, 1, 2, 1, 1, 4, 3, 1, 1, 3, 3, 1, 2, 2, 2, 1, 4, 4, 1, 0, 4, 4, 4, 1, 2, 4, 0, 2, 3, 1, 3, 3, 1, 1, 0, 1, 2, 3, 1, 1, 1, 1, 0, 4, 4, 4, 4, 2, 3, 3, 1, 4, 3, 0, 2, 2, 2, 3, 3, 1, 2, 1, 0, 2, 4, 0, 1, 2, 0, 1, 3, 3, 0, 4, 1, 2, 2, 1, 2, 1, 2, 1, 4, 0, 1, 0, 2, 3, 2, 4, 0, 3, 3, 4, 0, 1, 2, 3, 4, 4, 4, 1, 3, 4, 0, 3, 3, 2, 3, 2, 2, 0, 1, 2, 1, 3, 0, 3, 0, 2, 2, 2, 4, 4, 4, 3, 2, 1, 4, 4, 1, 3, 0, 0, 4, 1, 1, 2, 3, 0, 2, 0, 3, 1, 2, 0, 2, 1, 4, 4, 0, 2, 4, 4, 1, 2, 1, 4, 4, 3, 2, 3, 2, 1, 0, 0, 2, 3, 1, 1, 3, 2, 4, 2, 0, 3, 1, 1, 1, 3, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 3, 0, 4, 1, 0, 2, 0, 1, 1, 1, 3, 3, 2, 0, 4, 2, 4, 3, 1, 2, 0, 4, 1, 4, 1, 3, 2, 4, 1, 2, 4, 3, 2, 3, 0, 0, 4, 1, 4, 4, 4, 3, 1, 1, 4, 1, 1, 2, 4, 4, 3, 2, 2, 2, 0, 4, 4, 3, 3, 0, 3, 3, 0, 4, 1, 1, 1, 1, 0, 1, 2, 4, 0, 2, 4] pubkeycol1309 = [4, 1, 4, 1, 2, 2, 1, 0, 0, 1, 0, 2, 3, 2, 1, 3, 4, 3, 4, 1, 1, 4, 2, 3, 0, 2, 0, 3, 3, 4, 2, 3, 3, 4, 0, 4, 3, 2, 0, 0, 4, 4, 0, 1, 2, 1, 2, 1, 0, 2, 1, 3, 4, 1, 2, 4, 1, 3, 2, 4, 2, 0, 4, 2, 1, 3, 3, 4, 2, 2, 4, 2, 2, 0, 4, 4, 1, 0, 3, 2, 1, 3, 2, 0, 0, 3, 3, 1, 0, 1, 4, 2, 3, 3, 3, 0, 3, 2, 2, 3, 4, 3, 2, 4, 2, 0, 3, 2, 1, 0, 0, 3, 0, 3, 0, 3, 1, 2, 4, 3, 3, 4, 2, 1, 1, 0, 3, 1, 1, 1, 3, 4, 1, 2, 0, 2, 2, 0, 2, 1, 3, 3, 3, 4, 1, 0, 0, 2, 2, 0, 2, 1, 1, 3, 0, 2, 4, 3, 4, 1, 4, 4, 0, 3, 1, 2, 0, 1, 3, 4, 2, 0, 3, 3, 2, 1, 0, 2, 3, 1, 4, 3, 4, 4, 4, 3, 3, 3, 0, 2, 0, 3, 0, 2, 1, 0, 3, 4, 1, 3, 1, 1, 4, 4, 4, 4, 1, 1, 2, 1, 0, 2, 1, 0, 1, 4, 4, 1, 3, 2, 4, 4, 4, 1, 2, 3, 1, 1, 4, 2, 4, 3, 3, 4, 0, 2, 3, 4, 2, 3, 0, 1, 4, 4, 1, 0, 2, 0, 4, 0, 2, 1, 2, 4, 0, 4, 2, 4, 4, 3, 1, 3, 3, 3, 2, 2, 2, 4, 3, 0, 4, 0, 3, 2, 0, 1, 0, 4, 2, 4, 2, 4, 4, 2, 2, 4, 1, 0, 0, 4, 2, 3, 2, 4, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 3, 1, 2, 0, 1, 3, 3, 0, 3, 3, 2, 4, 4, 3, 1, 3, 2, 1, 4, 2, 1, 2, 4, 2, 2, 2, 0, 1, 4, 1, 2, 4, 0, 1, 2, 4, 3, 3, 4, 0, 0, 0, 2, 1, 4, 3, 2, 3, 0, 1, 3, 2, 4, 4, 4, 2, 1, 1, 2, 3, 0, 4, 3, 3, 0, 4, 3, 1, 3, 1, 0, 0, 2, 3, 1, 3, 4, 2, 3, 0, 0, 0, 0, 0, 1, 3, 2, 2, 3, 0, 4, 2, 3, 4, 3] pubkeycol1310 = [2, 0, 3, 3, 4, 4, 3, 2, 0, 2, 1, 1, 0, 1, 3, 3, 2, 0, 4, 0, 2, 2, 2, 2, 0, 1, 1, 4, 2, 4, 4, 1, 3, 1, 4, 3, 0, 3, 1, 4, 4, 2, 1, 3, 4, 4, 2, 1, 1, 1, 4, 3, 4, 0, 0, 0, 0, 3, 2, 4, 3, 3, 0, 4, 4, 3, 4, 3, 1, 4, 0, 3, 4, 0, 3, 3, 4, 4, 4, 1, 1, 3, 2, 2, 2, 0, 1, 3, 2, 3, 1, 0, 3, 3, 4, 4, 4, 3, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 3, 2, 0, 4, 0, 3, 3, 4, 3, 4, 2, 4, 2, 2, 1, 3, 3, 3, 0, 0, 0, 3, 0, 1, 3, 4, 2, 2, 0, 3, 1, 3, 4, 3, 3, 1, 4, 0, 1, 4, 4, 0, 4, 3, 4, 4, 1, 1, 4, 1, 1, 4, 2, 2, 4, 2, 3, 2, 2, 3, 3, 2, 4, 4, 0, 0, 4, 1, 2, 4, 2, 0, 3, 2, 2, 3, 2, 3, 3, 3, 0, 1, 1, 0, 3, 1, 4, 0, 1, 3, 2, 4, 4, 2, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 0, 2, 0, 2, 3, 2, 3, 3, 2, 2, 4, 4, 2, 1, 3, 2, 3, 3, 2, 0, 1, 1, 0, 1, 4, 0, 0, 0, 0, 0, 2, 2, 0, 3, 1, 1, 4, 1, 2, 3, 3, 2, 4, 1, 4, 4, 1, 0, 1, 1, 3, 1, 0, 1, 4, 2, 0, 4, 0, 0, 2, 0, 3, 1, 1, 4, 2, 0, 4, 1, 1, 2, 0, 1, 1, 4, 1, 1, 3, 0, 1, 4, 0, 3, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 0, 1, 1, 1, 3, 1, 0, 1, 3, 1, 4, 1, 0, 2, 3, 3, 2, 0, 0, 1, 0, 1, 0, 4, 2, 2, 1, 2, 3, 3, 0, 4, 1, 3, 1, 3, 2, 4, 4, 0, 2, 3, 2, 1, 2, 0, 0, 4, 0, 1, 2, 4, 1, 1, 0, 4, 0, 4, 0, 2, 0, 3, 3, 0, 4, 0, 3, 1, 0, 4, 3, 3, 0, 1, 1, 1, 1, 2, 3, 4, 1, 2, 2, 2, 3, 2, 1, 3, 3, 0, 4, 3, 2] pubkeycol1311 = [1, 1, 4, 3, 3, 2, 2, 0, 0, 0, 3, 1, 4, 2, 0, 1, 0, 1, 2, 0, 0, 3, 4, 0, 2, 3, 4, 1, 0, 0, 1, 3, 4, 1, 2, 1, 2, 1, 4, 2, 0, 1, 0, 4, 0, 1, 4, 3, 1, 3, 0, 3, 3, 2, 0, 3, 1, 0, 1, 2, 1, 2, 3, 3, 4, 1, 0, 0, 4, 2, 1, 3, 0, 1, 0, 4, 2, 2, 0, 3, 0, 3, 2, 3, 0, 0, 0, 0, 0, 2, 4, 3, 0, 1, 4, 4, 4, 3, 4, 1, 0, 1, 2, 2, 0, 4, 2, 4, 2, 2, 1, 0, 4, 2, 0, 3, 4, 0, 1, 4, 2, 1, 3, 4, 0, 3, 0, 0, 0, 2, 2, 0, 4, 1, 0, 0, 1, 4, 0, 1, 2, 0, 0, 1, 4, 2, 1, 1, 4, 3, 0, 4, 1, 1, 0, 2, 2, 1, 3, 0, 2, 0, 3, 0, 3, 1, 3, 1, 1, 3, 0, 0, 1, 3, 4, 3, 2, 2, 2, 3, 2, 2, 2, 2, 4, 0, 4, 3, 0, 1, 1, 3, 2, 4, 1, 0, 4, 1, 1, 0, 4, 2, 4, 3, 3, 2, 0, 4, 1, 4, 4, 4, 0, 1, 3, 2, 2, 1, 2, 3, 1, 3, 3, 0, 0, 4, 1, 0, 3, 1, 4, 0, 2, 3, 4, 4, 1, 0, 4, 1, 1, 4, 4, 3, 4, 2, 3, 1, 1, 0, 4, 3, 3, 1, 2, 0, 0, 2, 4, 2, 1, 0, 2, 0, 1, 1, 1, 4, 4, 4, 1, 3, 2, 2, 4, 1, 1, 1, 0, 1, 4, 0, 3, 0, 1, 1, 3, 0, 2, 1, 4, 3, 2, 3, 0, 0, 3, 3, 4, 4, 2, 0, 0, 4, 1, 4, 4, 3, 3, 3, 4, 2, 2, 0, 3, 2, 4, 2, 2, 4, 1, 4, 0, 0, 0, 4, 2, 4, 0, 0, 1, 4, 3, 3, 1, 2, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 2, 1, 4, 1, 2, 1, 4, 1, 1, 3, 4, 3, 2, 0, 1, 0, 0, 1, 3, 2, 1, 3, 4, 4, 2, 4, 4, 1, 0, 0, 0, 2, 1, 3, 4, 3, 1, 0, 4, 2, 1, 1, 0, 1, 2, 0, 3, 4, 1, 2, 3, 1, 2, 2] pubkeycol1312 = [3, 0, 3, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 3, 1, 0, 2, 1, 1, 3, 0, 3, 4, 0, 0, 1, 0, 4, 0, 0, 3, 0, 1, 1, 2, 2, 3, 4, 0, 4, 0, 4, 2, 4, 1, 3, 1, 3, 3, 0, 0, 3, 0, 3, 2, 2, 4, 1, 4, 4, 2, 0, 4, 3, 3, 4, 1, 1, 4, 3, 0, 4, 0, 0, 4, 4, 0, 4, 1, 1, 4, 3, 0, 0, 2, 4, 4, 4, 0, 4, 3, 0, 1, 2, 2, 2, 3, 2, 0, 3, 3, 3, 0, 3, 2, 4, 2, 1, 0, 1, 1, 3, 3, 4, 0, 0, 3, 0, 2, 2, 4, 4, 3, 2, 1, 1, 4, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 3, 0, 4, 3, 4, 2, 2, 4, 0, 1, 2, 2, 0, 0, 3, 4, 4, 2, 0, 2, 0, 3, 4, 4, 4, 3, 1, 4, 3, 2, 1, 1, 1, 4, 1, 3, 4, 3, 1, 0, 1, 0, 2, 3, 1, 0, 4, 3, 1, 0, 2, 0, 3, 1, 0, 4, 1, 2, 2, 4, 3, 3, 0, 1, 2, 4, 1, 0, 0, 3, 0, 1, 4, 1, 3, 0, 0, 4, 1, 4, 4, 2, 0, 1, 1, 3, 4, 0, 4, 2, 0, 4, 2, 4, 3, 3, 2, 0, 2, 2, 1, 3, 0, 0, 4, 3, 2, 0, 0, 4, 4, 2, 4, 3, 0, 0, 4, 4, 3, 3, 3, 1, 3, 0, 2, 2, 4, 4, 2, 1, 2, 0, 3, 2, 1, 1, 3, 4, 3, 1, 4, 0, 2, 1, 0, 2, 3, 4, 4, 0, 2, 0, 0, 3, 2, 3, 0, 1, 4, 2, 1, 2, 0, 2, 1, 4, 0, 4, 4, 3, 0, 1, 2, 4, 4, 3, 0, 3, 1, 0, 0, 3, 4, 2, 2, 0, 3, 1, 2, 4, 2, 3, 4, 1, 1, 2, 3, 0, 1, 0, 2, 4, 1, 0, 3, 0, 2, 3, 1, 4, 1, 1, 1, 4, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 3, 0, 3, 4, 4, 4, 3, 1, 4, 0, 0, 4, 0, 2, 3, 4, 2, 3, 3, 2, 2, 3, 3, 3, 1, 1, 2, 3, 4, 1, 1, 3, 2, 2, 4] pubkeycol1313 = [3, 0, 0, 3, 1, 4, 3, 2, 1, 2, 0, 3, 4, 3, 2, 2, 2, 3, 2, 3, 2, 1, 4, 4, 4, 1, 0, 0, 3, 3, 3, 2, 2, 1, 4, 3, 0, 0, 0, 3, 1, 3, 0, 2, 0, 4, 4, 2, 0, 1, 0, 4, 3, 3, 1, 0, 4, 1, 2, 3, 3, 4, 2, 4, 4, 3, 4, 4, 2, 4, 1, 3, 1, 1, 1, 0, 3, 2, 1, 3, 1, 3, 1, 0, 1, 1, 2, 4, 3, 0, 0, 0, 3, 3, 0, 4, 0, 2, 0, 2, 4, 2, 0, 4, 2, 0, 0, 1, 3, 1, 0, 1, 1, 2, 0, 0, 3, 4, 4, 4, 3, 1, 3, 2, 2, 4, 4, 0, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 4, 4, 1, 4, 3, 1, 2, 1, 1, 0, 3, 0, 3, 4, 2, 3, 2, 1, 4, 4, 4, 4, 1, 0, 0, 3, 2, 3, 1, 1, 1, 1, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 0, 4, 1, 2, 0, 3, 1, 1, 3, 2, 4, 2, 3, 2, 3, 1, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 3, 3, 1, 1, 4, 2, 4, 2, 3, 0, 2, 1, 2, 0, 0, 3, 1, 4, 1, 4, 4, 4, 1, 2, 2, 4, 2, 3, 3, 3, 0, 2, 2, 0, 3, 3, 0, 0, 4, 3, 2, 4, 2, 0, 3, 3, 2, 2, 0, 2, 4, 3, 0, 4, 4, 0, 2, 4, 2, 3, 1, 0, 1, 1, 1, 1, 4, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 4, 1, 4, 3, 2, 4, 4, 0, 4, 2, 0, 3, 3, 2, 3, 4, 1, 1, 3, 1, 2, 1, 0, 3, 2, 2, 0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 2, 2, 1, 2, 2, 0, 3, 1, 0, 2, 3, 4, 1, 3, 0, 0, 1, 2, 4, 1, 1, 4, 0, 4, 4, 0, 4, 2, 3, 4, 1, 1, 4, 2, 3, 2, 0, 2, 0, 4, 0, 4, 3, 1, 3, 2, 4, 4, 1, 1, 4, 3, 3, 0, 1, 3, 2, 3, 0, 0, 0, 0, 0, 2, 0, 4, 3, 2, 4, 4, 2, 3, 2, 3, 0] pubkeycol1314 = [1, 3, 4, 2, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 2, 1, 0, 2, 3, 2, 3, 4, 0, 1, 0, 4, 2, 2, 0, 1, 4, 3, 1, 4, 4, 3, 4, 3, 2, 0, 2, 1, 1, 4, 4, 1, 4, 3, 0, 2, 3, 4, 4, 0, 1, 1, 4, 4, 2, 2, 1, 2, 3, 0, 2, 2, 1, 4, 3, 1, 1, 2, 3, 0, 4, 1, 4, 0, 1, 0, 4, 4, 0, 2, 1, 1, 4, 3, 4, 3, 2, 0, 2, 1, 1, 4, 0, 2, 1, 3, 3, 3, 4, 1, 3, 2, 2, 1, 4, 1, 4, 1, 1, 1, 2, 0, 0, 4, 3, 2, 4, 1, 3, 2, 1, 3, 3, 2, 3, 1, 2, 0, 3, 2, 3, 4, 4, 3, 2, 4, 0, 2, 1, 1, 3, 3, 2, 3, 1, 4, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 3, 0, 4, 3, 2, 0, 1, 4, 3, 3, 0, 4, 0, 2, 2, 1, 3, 4, 2, 1, 0, 4, 0, 4, 0, 0, 0, 4, 1, 4, 4, 0, 2, 4, 1, 3, 1, 4, 3, 2, 1, 4, 1, 4, 0, 4, 0, 2, 1, 2, 2, 4, 3, 0, 4, 4, 3, 1, 1, 1, 3, 3, 2, 0, 4, 2, 2, 2, 3, 2, 1, 0, 3, 1, 2, 1, 0, 4, 0, 0, 3, 1, 0, 0, 2, 1, 2, 2, 3, 3, 0, 2, 0, 0, 4, 1, 3, 2, 1, 3, 0, 3, 2, 0, 3, 1, 0, 0, 4, 2, 4, 4, 3, 3, 2, 2, 1, 1, 4, 4, 3, 3, 4, 4, 2, 0, 3, 0, 3, 1, 4, 0, 0, 1, 0, 3, 1, 0, 3, 2, 3, 0, 0, 4, 2, 1, 1, 0, 0, 3, 0, 2, 4, 3, 4, 1, 1, 3, 2, 1, 1, 4, 0, 3, 4, 3, 3, 1, 2, 4, 2, 0, 4, 3, 2, 0, 3, 1, 3, 4, 4, 4, 1, 0, 3, 4, 4, 3, 1, 3, 3, 0, 2, 1, 2, 2, 1, 4, 3, 2, 3, 0, 1, 4, 1, 4, 0, 2, 3, 3, 4, 4, 4, 2, 4, 0, 0, 2, 0, 2, 4, 2, 4, 3, 4, 4, 0, 3, 2, 2, 2, 2, 4, 1, 0, 1, 1, 1] pubkeycol1315 = [0, 4, 0, 3, 2, 4, 0, 3, 3, 2, 3, 2, 0, 1, 2, 4, 3, 4, 3, 4, 0, 3, 0, 0, 2, 1, 3, 2, 3, 2, 4, 2, 2, 0, 2, 4, 3, 0, 4, 4, 0, 4, 0, 0, 3, 2, 2, 1, 3, 4, 4, 3, 2, 1, 2, 3, 4, 4, 0, 4, 2, 2, 0, 3, 2, 3, 4, 1, 4, 1, 3, 4, 2, 2, 4, 0, 2, 3, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 4, 4, 1, 0, 2, 1, 3, 2, 1, 0, 1, 3, 1, 2, 0, 2, 3, 4, 4, 3, 4, 4, 1, 1, 1, 3, 4, 4, 1, 3, 4, 4, 2, 2, 3, 4, 3, 4, 4, 2, 2, 4, 4, 0, 3, 0, 4, 0, 3, 4, 2, 3, 2, 4, 4, 0, 4, 3, 3, 1, 1, 1, 4, 2, 4, 1, 2, 3, 1, 3, 0, 2, 1, 4, 3, 4, 0, 0, 1, 2, 1, 3, 4, 3, 1, 2, 4, 1, 1, 2, 1, 3, 3, 3, 0, 2, 2, 3, 0, 1, 4, 3, 2, 3, 0, 4, 2, 4, 4, 2, 2, 4, 0, 4, 3, 2, 3, 4, 1, 3, 0, 4, 4, 0, 3, 2, 1, 3, 3, 3, 2, 4, 2, 2, 0, 2, 2, 1, 3, 2, 2, 0, 2, 1, 1, 2, 1, 2, 4, 2, 1, 3, 2, 2, 0, 4, 1, 0, 3, 3, 3, 0, 1, 0, 4, 1, 2, 2, 0, 3, 3, 0, 3, 0, 2, 0, 3, 4, 3, 0, 1, 2, 2, 2, 0, 4, 2, 0, 1, 0, 4, 2, 3, 4, 2, 2, 1, 4, 2, 2, 2, 2, 4, 4, 4, 2, 0, 2, 2, 0, 2, 1, 1, 2, 3, 1, 4, 4, 0, 4, 3, 1, 3, 4, 3, 1, 0, 0, 0, 1, 0, 0, 2, 3, 0, 3, 4, 3, 1, 3, 1, 4, 1, 0, 1, 1, 1, 1, 3, 1, 3, 1, 0, 2, 2, 0, 0, 2, 0, 0, 3, 2, 4, 4, 1, 1, 3, 2, 2, 3, 3, 3, 2, 4, 3, 3, 3, 4, 4, 3, 4, 3, 4, 4, 2, 2, 0, 3, 0, 0, 4, 1, 4, 1, 4, 3, 3, 2, 0, 4, 4, 0, 4, 3, 3, 0, 1, 0, 3] pubkeycol1316 = [4, 3, 0, 1, 2, 3, 3, 0, 4, 4, 3, 1, 4, 0, 3, 3, 0, 4, 2, 3, 1, 3, 1, 3, 4, 2, 2, 0, 4, 4, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 3, 4, 2, 2, 1, 0, 3, 1, 1, 1, 2, 1, 0, 0, 3, 3, 0, 0, 4, 1, 0, 0, 0, 3, 4, 2, 3, 3, 1, 0, 3, 2, 0, 4, 2, 0, 4, 2, 2, 0, 3, 2, 0, 1, 2, 0, 0, 3, 4, 2, 4, 4, 0, 2, 3, 2, 4, 1, 0, 2, 3, 2, 2, 4, 4, 3, 0, 4, 0, 1, 2, 2, 4, 0, 4, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 4, 1, 1, 3, 3, 1, 2, 4, 2, 2, 4, 1, 3, 4, 1, 1, 2, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 4, 3, 0, 2, 3, 2, 0, 1, 1, 1, 3, 3, 1, 1, 2, 0, 3, 2, 4, 3, 0, 2, 1, 3, 0, 3, 1, 0, 2, 4, 1, 2, 1, 4, 3, 0, 0, 2, 4, 4, 1, 2, 2, 2, 4, 0, 4, 2, 0, 0, 3, 3, 3, 4, 1, 2, 1, 4, 4, 0, 2, 2, 4, 3, 2, 1, 0, 2, 1, 1, 1, 1, 4, 0, 2, 3, 3, 1, 4, 2, 1, 4, 3, 0, 2, 0, 2, 3, 4, 3, 1, 1, 4, 1, 1, 2, 4, 1, 0, 4, 4, 0, 3, 2, 0, 3, 3, 2, 1, 1, 2, 4, 3, 3, 0, 4, 2, 3, 4, 1, 1, 2, 1, 2, 3, 2, 4, 0, 2, 2, 2, 3, 0, 0, 0, 2, 2, 4, 1, 4, 1, 1, 1, 1, 2, 0, 2, 2, 1, 4, 1, 3, 3, 2, 2, 2, 0, 3, 3, 0, 4, 4, 3, 4, 4, 2, 2, 2, 0, 3, 3, 2, 1, 1, 4, 1, 2, 2, 4, 4, 3, 2, 0, 1, 3, 4, 3, 4, 1, 1, 1, 2, 1, 2, 4, 4, 3, 3, 0, 2, 0, 1, 4, 4, 2, 1, 4, 4, 4, 3, 1, 3, 3, 3, 1, 3, 4, 1, 1, 0, 1, 3, 4, 3, 3, 3, 4, 1, 3, 2, 1, 4, 2, 1, 2, 1, 3, 0, 1, 4, 4, 2] pubkeycol1317 = [1, 1, 1, 2, 0, 0, 3, 3, 3, 4, 4, 1, 0, 2, 2, 4, 1, 3, 3, 3, 2, 1, 1, 0, 3, 3, 3, 1, 3, 1, 2, 3, 4, 2, 2, 4, 1, 0, 3, 2, 4, 4, 2, 2, 1, 0, 2, 2, 4, 3, 3, 2, 4, 0, 1, 3, 3, 1, 2, 0, 4, 2, 4, 2, 0, 2, 1, 4, 0, 3, 4, 3, 2, 3, 2, 2, 4, 4, 1, 0, 1, 0, 0, 4, 4, 3, 0, 0, 1, 2, 2, 0, 2, 2, 3, 3, 0, 1, 3, 1, 4, 2, 0, 2, 3, 4, 4, 1, 1, 2, 4, 0, 2, 1, 4, 1, 4, 3, 0, 2, 4, 4, 1, 3, 1, 0, 1, 4, 3, 0, 3, 4, 2, 3, 4, 0, 1, 3, 1, 4, 2, 0, 1, 3, 4, 2, 0, 0, 3, 2, 1, 2, 2, 2, 1, 0, 4, 2, 3, 4, 4, 3, 2, 1, 3, 3, 4, 1, 2, 0, 4, 1, 2, 0, 0, 3, 0, 4, 0, 2, 3, 0, 1, 2, 4, 2, 3, 4, 3, 3, 2, 2, 0, 0, 2, 1, 0, 0, 3, 0, 2, 2, 4, 1, 3, 4, 2, 0, 4, 3, 4, 2, 0, 1, 2, 1, 3, 3, 3, 4, 2, 1, 4, 4, 2, 2, 2, 4, 0, 0, 0, 4, 2, 0, 1, 1, 3, 0, 0, 4, 0, 0, 3, 1, 0, 0, 1, 2, 0, 3, 3, 4, 0, 4, 1, 0, 1, 3, 0, 3, 4, 1, 3, 2, 2, 3, 4, 1, 0, 3, 4, 1, 0, 4, 0, 3, 4, 4, 1, 0, 2, 4, 0, 3, 0, 0, 2, 1, 0, 3, 4, 4, 4, 4, 4, 0, 2, 1, 2, 1, 0, 3, 1, 0, 0, 0, 1, 2, 1, 0, 2, 4, 1, 3, 0, 4, 4, 0, 0, 1, 4, 1, 4, 4, 1, 2, 2, 1, 4, 3, 1, 0, 0, 3, 4, 4, 2, 3, 1, 4, 1, 3, 3, 3, 1, 0, 4, 1, 2, 3, 0, 2, 4, 4, 1, 0, 3, 3, 0, 0, 2, 3, 1, 1, 2, 4, 1, 4, 0, 4, 0, 3, 1, 1, 0, 4, 4, 3, 0, 2, 2, 3, 2, 1, 0, 1, 3, 0, 1, 2, 3, 3, 0, 4, 2, 1, 2, 4, 0, 3] pubkeycol1318 = [3, 3, 4, 2, 4, 2, 0, 4, 2, 1, 0, 0, 4, 3, 0, 4, 0, 2, 4, 4, 1, 1, 2, 1, 2, 4, 2, 4, 1, 2, 4, 4, 4, 3, 2, 0, 2, 2, 1, 4, 3, 3, 3, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 4, 3, 2, 0, 1, 1, 0, 3, 1, 0, 0, 2, 3, 4, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 4, 1, 4, 2, 1, 1, 3, 4, 0, 0, 3, 1, 0, 0, 0, 2, 3, 2, 0, 4, 4, 4, 3, 0, 3, 3, 4, 0, 2, 1, 0, 2, 0, 2, 1, 4, 1, 1, 0, 1, 4, 4, 2, 1, 2, 3, 0, 0, 0, 4, 3, 0, 0, 1, 4, 2, 4, 0, 1, 1, 3, 0, 1, 3, 1, 2, 3, 0, 0, 2, 0, 4, 1, 4, 1, 4, 1, 1, 2, 1, 2, 0, 0, 4, 2, 0, 2, 1, 1, 3, 3, 0, 4, 0, 4, 1, 0, 4, 2, 3, 4, 1, 2, 0, 2, 0, 4, 0, 3, 1, 0, 0, 2, 1, 0, 3, 0, 1, 1, 4, 2, 3, 1, 2, 3, 4, 4, 1, 0, 3, 2, 3, 2, 4, 4, 4, 1, 1, 1, 1, 3, 2, 3, 4, 0, 3, 3, 2, 4, 4, 3, 1, 0, 4, 0, 0, 3, 2, 0, 0, 2, 3, 1, 2, 3, 1, 3, 4, 3, 3, 1, 1, 0, 2, 3, 2, 1, 1, 0, 1, 0, 3, 3, 1, 4, 3, 2, 1, 3, 3, 4, 2, 4, 4, 2, 2, 3, 3, 3, 3, 2, 3, 4, 0, 1, 4, 2, 1, 1, 4, 3, 0, 3, 1, 3, 1, 0, 1, 1, 0, 0, 4, 4, 2, 1, 2, 3, 3, 0, 3, 1, 4, 1, 1, 4, 3, 2, 3, 1, 3, 2, 3, 3, 1, 1, 1, 2, 4, 0, 1, 3, 3, 4, 1, 2, 3, 1, 4, 4, 4, 4, 4, 3, 3, 0, 0, 3, 3, 4, 1, 2, 3, 1, 2, 2, 2, 0, 2, 4, 4, 0, 0, 3, 3, 1, 3, 4, 0, 3, 0, 3, 3, 2, 3, 3, 2, 0, 0, 4, 2, 2, 2, 0, 4, 1, 2, 0, 3, 1, 3, 0, 1, 2, 1, 0, 4, 3, 4, 2, 2, 4, 2] pubkeycol1319 = [4, 4, 2, 4, 1, 1, 4, 0, 0, 4, 4, 3, 4, 0, 3, 1, 1, 3, 2, 2, 3, 1, 3, 1, 4, 0, 4, 4, 3, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 4, 4, 2, 0, 2, 0, 2, 1, 4, 0, 1, 0, 2, 0, 2, 4, 2, 0, 0, 1, 0, 3, 3, 3, 2, 4, 4, 1, 1, 3, 3, 4, 3, 0, 4, 1, 1, 4, 1, 4, 1, 4, 2, 2, 4, 1, 2, 1, 0, 0, 3, 4, 0, 0, 3, 2, 2, 0, 3, 3, 2, 0, 3, 1, 1, 3, 0, 2, 1, 1, 4, 2, 3, 4, 3, 0, 3, 3, 3, 4, 3, 2, 3, 4, 2, 2, 2, 0, 2, 4, 4, 0, 4, 2, 3, 4, 1, 3, 2, 2, 1, 1, 4, 3, 2, 0, 4, 3, 4, 2, 0, 2, 3, 3, 3, 4, 3, 0, 1, 3, 1, 1, 3, 1, 2, 2, 2, 3, 0, 2, 1, 0, 1, 1, 4, 2, 1, 1, 4, 1, 3, 3, 1, 4, 0, 4, 1, 2, 1, 4, 2, 1, 3, 2, 0, 3, 3, 3, 4, 4, 0, 3, 2, 2, 0, 2, 0, 3, 0, 4, 4, 3, 2, 3, 0, 0, 3, 4, 1, 4, 0, 3, 2, 0, 2, 4, 0, 3, 2, 3, 2, 0, 3, 2, 3, 1, 2, 4, 3, 1, 4, 4, 0, 3, 1, 4, 2, 1, 1, 4, 3, 4, 4, 0, 2, 1, 4, 2, 2, 0, 4, 3, 4, 4, 4, 0, 1, 4, 3, 3, 4, 0, 3, 0, 0, 0, 4, 1, 3, 0, 2, 2, 1, 2, 3, 2, 3, 3, 4, 1, 3, 4, 4, 3, 4, 0, 3, 0, 0, 0, 3, 1, 3, 4, 0, 4, 2, 1, 2, 0, 0, 0, 2, 2, 2, 3, 2, 4, 0, 3, 4, 1, 3, 3, 3, 0, 0, 2, 4, 2, 3, 3, 0, 3, 0, 4, 0, 0, 2, 1, 4, 2, 0, 0, 3, 4, 2, 1, 3, 1, 4, 1, 1, 4, 3, 3, 0, 4, 2, 4, 2, 3, 3, 1, 2, 4, 4, 4, 2, 2, 4, 1, 3, 2, 1, 4, 3, 2, 3, 2, 2, 4, 4, 3, 0, 1, 3, 1, 3, 4, 3, 4, 4, 3, 1, 3, 4, 4, 2, 0, 1] pubkeycol1320 = [0, 0, 3, 1, 3, 0, 4, 3, 0, 1, 4, 4, 3, 4, 3, 3, 4, 3, 3, 2, 4, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 2, 4, 2, 0, 0, 1, 2, 1, 1, 1, 3, 4, 2, 1, 2, 1, 3, 3, 4, 2, 4, 1, 1, 4, 4, 1, 3, 0, 2, 1, 0, 1, 3, 1, 2, 4, 4, 2, 1, 3, 0, 3, 4, 2, 4, 3, 1, 1, 4, 3, 1, 1, 4, 0, 3, 2, 1, 4, 1, 2, 3, 1, 0, 3, 4, 0, 4, 0, 3, 4, 0, 4, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 3, 4, 1, 3, 4, 0, 3, 4, 2, 3, 0, 3, 0, 2, 3, 1, 2, 4, 4, 0, 3, 3, 2, 0, 1, 2, 2, 2, 4, 2, 1, 2, 4, 1, 2, 1, 1, 3, 0, 0, 0, 3, 1, 0, 3, 3, 0, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 0, 3, 1, 0, 3, 0, 4, 3, 0, 2, 0, 1, 3, 4, 4, 0, 0, 3, 4, 0, 4, 3, 1, 4, 3, 1, 0, 0, 2, 2, 3, 3, 1, 3, 1, 2, 3, 2, 1, 2, 0, 4, 1, 1, 0, 0, 4, 4, 0, 3, 2, 1, 1, 3, 3, 1, 2, 1, 2, 3, 2, 2, 4, 3, 2, 3, 2, 3, 3, 0, 3, 2, 1, 4, 4, 4, 2, 0, 4, 0, 3, 0, 2, 0, 4, 2, 3, 3, 2, 4, 3, 4, 2, 0, 0, 4, 2, 4, 3, 0, 3, 3, 4, 3, 2, 3, 0, 4, 3, 0, 2, 4, 2, 1, 0, 2, 4, 2, 3, 3, 4, 4, 3, 3, 0, 1, 1, 2, 3, 0, 4, 4, 1, 2, 2, 0, 1, 1, 4, 1, 2, 0, 3, 3, 1, 2, 2, 1, 2, 1, 3, 2, 4, 1, 3, 3, 2, 1, 3, 4, 2, 1, 2, 3, 4, 2, 0, 4, 4, 1, 4, 0, 4, 2, 0, 1, 0, 3, 4, 0, 2, 3, 1, 2, 3, 2, 1, 2, 4, 3, 2, 4, 3, 3, 2, 4, 2, 4, 4, 3, 2, 3, 2, 0, 3, 2, 2, 3, 1, 4, 2, 3, 3, 1, 1, 2, 1, 1, 4, 3, 2, 0, 3, 3, 4, 3, 1, 0, 2] pubkeycol1321 = [3, 0, 1, 1, 0, 3, 0, 4, 1, 1, 1, 2, 4, 2, 0, 0, 3, 4, 3, 0, 3, 0, 3, 3, 2, 1, 3, 4, 2, 0, 1, 4, 0, 3, 1, 2, 1, 1, 1, 3, 2, 4, 2, 1, 1, 0, 1, 1, 3, 2, 2, 0, 1, 0, 1, 3, 3, 4, 3, 3, 3, 4, 3, 1, 2, 0, 1, 3, 1, 3, 2, 3, 4, 0, 3, 3, 4, 4, 1, 4, 0, 3, 1, 3, 1, 1, 0, 3, 2, 3, 0, 0, 2, 4, 3, 4, 0, 3, 3, 0, 4, 0, 0, 2, 4, 3, 3, 2, 2, 2, 4, 2, 3, 2, 2, 4, 2, 0, 4, 4, 4, 1, 0, 0, 4, 2, 3, 3, 1, 0, 0, 3, 4, 4, 2, 1, 3, 1, 0, 4, 4, 3, 2, 0, 3, 3, 0, 2, 0, 3, 4, 0, 4, 0, 4, 4, 3, 3, 4, 2, 1, 3, 2, 1, 4, 3, 3, 3, 0, 4, 3, 4, 3, 3, 2, 0, 3, 0, 4, 0, 2, 1, 3, 0, 1, 0, 0, 2, 3, 2, 1, 0, 3, 4, 2, 2, 1, 2, 0, 4, 2, 0, 1, 3, 4, 4, 2, 3, 2, 1, 4, 4, 1, 4, 2, 2, 4, 0, 2, 4, 4, 2, 4, 1, 3, 1, 3, 0, 2, 0, 1, 2, 3, 3, 0, 1, 0, 2, 1, 3, 0, 2, 4, 1, 1, 1, 4, 3, 2, 0, 2, 4, 2, 3, 0, 1, 1, 2, 0, 4, 4, 0, 4, 2, 4, 1, 1, 4, 0, 1, 4, 0, 3, 0, 3, 4, 4, 4, 2, 2, 3, 1, 4, 4, 0, 0, 2, 3, 2, 4, 3, 0, 4, 4, 1, 1, 4, 4, 4, 1, 2, 1, 1, 3, 1, 3, 3, 2, 4, 3, 2, 2, 0, 0, 4, 3, 1, 0, 0, 1, 2, 1, 0, 1, 4, 3, 2, 1, 1, 4, 4, 2, 4, 4, 4, 1, 0, 2, 2, 3, 0, 3, 2, 0, 4, 2, 2, 2, 2, 3, 4, 4, 2, 2, 3, 2, 0, 0, 2, 4, 4, 2, 2, 3, 1, 1, 4, 0, 3, 2, 2, 0, 4, 3, 4, 0, 4, 0, 3, 4, 4, 0, 3, 2, 1, 3, 3, 1, 2, 1, 1, 1, 2, 4, 3, 1, 4, 2, 2, 0] pubkeycol1322 = [1, 1, 2, 3, 2, 4, 1, 4, 4, 1, 0, 3, 2, 3, 1, 3, 0, 3, 2, 0, 2, 1, 1, 4, 2, 4, 2, 1, 0, 2, 3, 0, 4, 2, 1, 1, 0, 1, 0, 3, 1, 4, 4, 1, 0, 1, 1, 3, 4, 4, 3, 4, 3, 0, 4, 2, 2, 4, 0, 0, 0, 4, 4, 3, 3, 1, 1, 4, 3, 4, 3, 0, 1, 0, 4, 4, 1, 1, 4, 1, 1, 1, 4, 3, 3, 1, 4, 1, 1, 1, 3, 1, 2, 4, 4, 3, 1, 3, 2, 2, 0, 1, 3, 2, 2, 3, 3, 0, 4, 1, 4, 0, 4, 2, 4, 1, 1, 4, 1, 0, 2, 0, 0, 4, 4, 1, 0, 2, 3, 0, 2, 4, 1, 4, 1, 0, 4, 3, 1, 2, 0, 4, 0, 3, 3, 4, 3, 4, 1, 2, 2, 2, 0, 4, 3, 2, 0, 0, 0, 4, 3, 2, 4, 0, 4, 0, 1, 3, 0, 3, 1, 2, 4, 1, 2, 2, 4, 0, 3, 1, 1, 0, 2, 0, 1, 4, 0, 0, 4, 4, 3, 0, 2, 1, 4, 2, 1, 0, 2, 0, 3, 3, 2, 1, 2, 2, 2, 1, 4, 0, 3, 1, 3, 4, 4, 1, 4, 0, 2, 4, 3, 3, 2, 1, 4, 4, 0, 1, 0, 4, 0, 0, 2, 0, 2, 3, 0, 2, 4, 3, 3, 4, 4, 0, 2, 0, 4, 3, 3, 1, 0, 2, 0, 4, 0, 1, 2, 3, 0, 3, 1, 2, 1, 4, 4, 3, 2, 1, 2, 0, 4, 0, 2, 1, 0, 2, 1, 4, 0, 4, 1, 1, 3, 3, 0, 0, 1, 1, 0, 4, 3, 4, 2, 2, 3, 0, 1, 2, 0, 2, 4, 0, 2, 1, 2, 2, 4, 3, 4, 1, 0, 4, 1, 2, 1, 4, 1, 2, 3, 4, 3, 2, 1, 3, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 4, 3, 0, 2, 3, 1, 1, 2, 4, 1, 2, 1, 3, 0, 0, 1, 1, 3, 4, 4, 4, 2, 1, 3, 0, 2, 4, 0, 3, 0, 3, 0, 2, 3, 4, 3, 4, 4, 3, 2, 4, 0, 4, 3, 1, 2, 1, 4, 2, 2, 1, 0, 0, 0, 0, 0, 1, 4, 2, 0, 2, 3, 2, 1] pubkeycol1323 = [4, 3, 2, 3, 2, 4, 1, 1, 2, 3, 2, 0, 1, 4, 2, 1, 3, 4, 4, 4, 2, 2, 3, 4, 0, 3, 1, 1, 3, 2, 1, 4, 1, 1, 4, 2, 0, 1, 2, 4, 4, 2, 0, 4, 4, 1, 1, 4, 2, 4, 3, 2, 1, 1, 1, 2, 4, 4, 4, 0, 2, 0, 4, 2, 4, 1, 0, 4, 3, 0, 4, 0, 1, 3, 0, 2, 2, 2, 0, 4, 1, 4, 4, 3, 0, 1, 3, 1, 1, 4, 4, 3, 3, 2, 1, 3, 2, 3, 3, 3, 0, 3, 3, 4, 3, 4, 2, 3, 0, 1, 3, 2, 0, 2, 1, 1, 4, 2, 1, 4, 4, 0, 3, 1, 1, 0, 0, 3, 2, 1, 4, 0, 3, 3, 4, 1, 3, 4, 2, 0, 4, 2, 4, 2, 1, 4, 4, 1, 3, 3, 4, 4, 0, 1, 3, 2, 3, 0, 3, 4, 3, 0, 1, 0, 2, 2, 1, 2, 3, 3, 0, 4, 3, 4, 3, 2, 3, 4, 1, 2, 2, 1, 2, 4, 1, 0, 4, 4, 1, 1, 1, 1, 4, 4, 2, 1, 3, 2, 1, 3, 1, 3, 4, 0, 0, 1, 4, 4, 4, 0, 4, 3, 3, 3, 2, 0, 0, 3, 0, 2, 4, 2, 4, 3, 3, 0, 2, 4, 2, 0, 2, 2, 1, 4, 2, 4, 1, 0, 0, 2, 4, 0, 4, 0, 3, 4, 4, 2, 3, 2, 3, 3, 0, 4, 0, 3, 4, 0, 2, 1, 3, 2, 2, 4, 4, 3, 4, 1, 1, 3, 2, 0, 1, 1, 4, 2, 3, 0, 1, 3, 4, 3, 4, 2, 1, 3, 3, 0, 2, 0, 4, 0, 2, 3, 1, 2, 4, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 2, 4, 2, 0, 3, 1, 1, 3, 4, 0, 2, 0, 4, 0, 4, 4, 1, 3, 0, 4, 4, 2, 4, 0, 4, 3, 2, 3, 4, 1, 0, 1, 0, 4, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 3, 4, 3, 2, 2, 2, 2, 0, 4, 4, 3, 1, 1, 4, 4, 1, 4, 3, 2, 2, 1, 2, 4, 4, 1, 4, 3, 1, 1, 4, 4, 1, 3, 3, 2, 2, 0, 3, 4, 3, 2, 0, 4, 0, 1, 1] pubkeycol1324 = [1, 0, 2, 4, 4, 0, 1, 3, 2, 1, 4, 3, 4, 2, 0, 1, 0, 0, 3, 3, 4, 1, 2, 3, 3, 2, 0, 0, 3, 2, 3, 0, 3, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 4, 3, 4, 0, 3, 1, 3, 0, 2, 2, 3, 4, 2, 1, 3, 2, 0, 4, 2, 2, 3, 2, 1, 3, 0, 1, 2, 3, 4, 2, 2, 1, 3, 0, 3, 2, 4, 3, 3, 1, 3, 3, 4, 4, 4, 1, 2, 4, 2, 3, 1, 4, 3, 0, 3, 0, 1, 0, 1, 2, 4, 1, 1, 3, 1, 0, 4, 4, 0, 3, 0, 3, 4, 0, 4, 4, 3, 1, 4, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 3, 1, 3, 1, 3, 1, 0, 1, 3, 3, 3, 1, 0, 0, 0, 3, 0, 4, 3, 4, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 0, 1, 3, 0, 0, 4, 3, 3, 2, 3, 0, 3, 4, 1, 3, 4, 4, 3, 0, 0, 3, 1, 1, 3, 1, 3, 2, 4, 4, 0, 4, 1, 3, 3, 1, 0, 0, 3, 0, 4, 3, 3, 3, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 3, 3, 2, 0, 0, 2, 3, 0, 2, 1, 0, 2, 0, 3, 3, 1, 4, 3, 4, 3, 1, 1, 2, 2, 3, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 4, 0, 4, 0, 0, 2, 1, 4, 1, 1, 4, 2, 1, 0, 3, 0, 3, 1, 3, 2, 4, 1, 4, 3, 2, 0, 2, 4, 3, 2, 0, 2, 4, 3, 2, 2, 4, 1, 4, 4, 3, 4, 3, 3, 3, 3, 0, 2, 3, 0, 4, 4, 2, 2, 2, 2, 4, 4, 1, 4, 2, 2, 4, 1, 2, 3, 1, 2, 1, 3, 1, 2, 2, 1, 3, 1, 4, 3, 3, 1, 0, 0, 4, 2, 4, 2, 3, 4, 3, 2, 4, 1, 3, 1, 2, 1, 0, 3, 4, 4, 0, 4, 1, 1, 4, 3, 4, 3, 0, 1, 4, 0, 4, 3, 1, 4, 2, 1, 2, 2, 3, 1, 1, 1, 3, 1, 0, 4, 1, 4, 4, 2, 3, 1, 3, 1, 3, 3, 1, 3, 0, 1, 3, 2, 1, 0, 2, 1] pubkeycol1325 = [2, 4, 2, 3, 2, 2, 3, 2, 4, 0, 1, 4, 0, 4, 3, 1, 2, 3, 0, 2, 4, 4, 4, 3, 3, 3, 3, 4, 4, 2, 0, 2, 3, 4, 3, 4, 0, 3, 2, 0, 2, 4, 3, 2, 3, 4, 2, 4, 2, 3, 1, 1, 0, 0, 2, 4, 2, 4, 3, 0, 0, 3, 2, 0, 4, 2, 2, 4, 1, 1, 4, 4, 3, 4, 0, 2, 1, 4, 1, 1, 2, 0, 1, 4, 4, 1, 3, 3, 0, 0, 1, 0, 4, 4, 3, 4, 1, 1, 3, 0, 4, 4, 4, 0, 4, 0, 3, 2, 1, 2, 1, 3, 3, 2, 2, 4, 0, 2, 2, 3, 3, 1, 0, 3, 0, 4, 1, 4, 4, 1, 4, 3, 2, 4, 4, 2, 3, 3, 4, 3, 0, 2, 0, 4, 3, 3, 3, 3, 4, 1, 2, 4, 1, 2, 4, 4, 1, 3, 1, 3, 3, 4, 3, 3, 0, 1, 3, 4, 3, 4, 3, 2, 0, 1, 0, 4, 3, 2, 2, 2, 4, 3, 0, 1, 0, 0, 3, 1, 4, 2, 2, 4, 4, 1, 1, 4, 4, 1, 1, 2, 2, 1, 4, 4, 3, 0, 4, 2, 3, 3, 0, 2, 2, 3, 2, 3, 2, 1, 4, 1, 4, 4, 1, 1, 3, 2, 4, 3, 4, 3, 0, 2, 2, 0, 3, 1, 3, 3, 2, 3, 0, 2, 3, 0, 3, 4, 0, 2, 2, 1, 3, 4, 2, 2, 2, 4, 0, 4, 1, 2, 4, 0, 3, 3, 3, 3, 0, 2, 3, 0, 0, 1, 4, 0, 0, 2, 2, 3, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 4, 4, 1, 3, 2, 2, 0, 1, 3, 3, 0, 1, 1, 4, 3, 1, 4, 1, 3, 3, 4, 2, 2, 2, 1, 2, 4, 2, 4, 1, 1, 1, 2, 2, 0, 4, 1, 4, 2, 3, 2, 0, 0, 3, 1, 2, 0, 4, 1, 1, 4, 1, 0, 2, 2, 2, 4, 0, 4, 3, 0, 2, 2, 3, 4, 4, 1, 4, 1, 3, 2, 2, 0, 0, 1, 0, 0, 0, 3, 1, 0, 0, 3, 0, 0, 3, 4, 4, 2, 0, 3, 4, 3, 0, 0, 0, 4, 2, 0, 2, 1, 4, 0, 1, 1, 2, 4, 1, 4] pubkeycol1326 = [3, 3, 0, 0, 0, 4, 0, 4, 2, 3, 3, 3, 3, 0, 4, 2, 3, 3, 3, 4, 3, 2, 0, 0, 1, 0, 1, 4, 2, 0, 0, 2, 0, 3, 1, 2, 4, 0, 1, 0, 1, 3, 0, 3, 0, 4, 4, 2, 0, 3, 1, 3, 3, 3, 0, 2, 3, 4, 4, 4, 1, 0, 4, 2, 3, 4, 2, 3, 2, 1, 2, 2, 1, 2, 4, 1, 1, 2, 4, 1, 3, 0, 0, 3, 3, 2, 0, 2, 3, 2, 4, 2, 0, 3, 0, 2, 2, 2, 2, 2, 0, 2, 2, 3, 2, 2, 4, 0, 3, 1, 2, 4, 0, 4, 4, 4, 2, 0, 1, 3, 3, 3, 2, 3, 1, 0, 2, 1, 4, 1, 3, 4, 3, 3, 1, 0, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 0, 1, 4, 0, 1, 4, 1, 4, 4, 0, 2, 2, 0, 1, 3, 3, 0, 0, 3, 2, 1, 2, 0, 4, 3, 1, 0, 0, 3, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 3, 2, 2, 0, 4, 0, 4, 2, 3, 2, 4, 0, 1, 0, 3, 0, 2, 3, 0, 4, 4, 4, 0, 0, 2, 2, 0, 0, 4, 2, 1, 4, 0, 3, 2, 2, 4, 3, 0, 3, 4, 0, 4, 0, 0, 4, 4, 2, 3, 4, 2, 4, 1, 0, 0, 4, 1, 3, 1, 3, 3, 2, 2, 4, 0, 1, 4, 0, 4, 1, 2, 1, 1, 1, 0, 1, 1, 0, 4, 3, 4, 2, 3, 2, 4, 1, 2, 1, 3, 1, 3, 1, 1, 1, 4, 4, 4, 1, 0, 4, 4, 3, 2, 3, 3, 4, 3, 3, 1, 2, 2, 1, 4, 2, 3, 3, 0, 3, 2, 4, 1, 4, 2, 4, 4, 1, 1, 1, 3, 4, 4, 3, 3, 2, 1, 1, 0, 4, 1, 0, 3, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 3, 2, 3, 1, 0, 3, 2, 3, 3, 1, 1, 1, 4, 4, 1, 0, 4, 4, 3, 1, 2, 0, 2, 3, 2, 3, 0, 4, 3, 3, 2, 3, 0, 2, 3, 0, 2, 1, 0, 2, 0, 3, 4, 2, 3, 4, 4, 4, 3, 3, 0, 0, 2, 4, 2, 0, 0, 2, 4, 3, 2, 2] pubkeycol1327 = [4, 1, 1, 0, 3, 1, 4, 1, 1, 1, 1, 1, 2, 3, 0, 1, 0, 1, 1, 3, 4, 3, 4, 4, 2, 0, 0, 0, 1, 3, 4, 0, 2, 0, 4, 1, 2, 3, 1, 0, 3, 3, 0, 3, 3, 1, 1, 0, 0, 4, 0, 1, 3, 1, 0, 0, 3, 4, 2, 0, 2, 4, 0, 3, 4, 4, 2, 4, 2, 0, 4, 1, 0, 3, 3, 4, 0, 0, 0, 0, 1, 1, 1, 4, 2, 4, 3, 1, 0, 1, 2, 1, 1, 4, 1, 3, 0, 2, 0, 3, 2, 1, 3, 0, 0, 0, 3, 3, 0, 3, 3, 1, 3, 0, 4, 0, 4, 4, 2, 0, 0, 2, 4, 2, 2, 4, 0, 1, 0, 2, 0, 0, 0, 4, 4, 0, 2, 4, 4, 1, 2, 3, 2, 4, 4, 0, 1, 2, 4, 1, 2, 4, 2, 2, 3, 2, 0, 0, 4, 4, 2, 0, 2, 2, 4, 3, 4, 3, 4, 0, 1, 2, 2, 1, 4, 1, 2, 2, 0, 3, 4, 1, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 0, 0, 3, 2, 4, 4, 3, 0, 2, 4, 2, 4, 4, 3, 2, 4, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 3, 0, 0, 2, 1, 0, 3, 1, 2, 2, 0, 1, 3, 4, 4, 0, 0, 2, 2, 3, 2, 2, 4, 3, 0, 0, 0, 2, 2, 0, 0, 3, 1, 4, 1, 4, 3, 2, 1, 1, 2, 3, 0, 4, 2, 3, 4, 2, 4, 2, 0, 1, 4, 0, 3, 3, 0, 3, 4, 3, 0, 2, 1, 3, 3, 3, 2, 4, 2, 4, 3, 2, 1, 2, 4, 3, 3, 1, 4, 2, 0, 3, 3, 4, 0, 3, 2, 2, 0, 1, 2, 0, 1, 1, 3, 4, 0, 3, 2, 0, 4, 4, 3, 4, 4, 2, 0, 0, 0, 3, 2, 4, 4, 3, 2, 4, 0, 3, 0, 1, 1, 3, 3, 0, 4, 2, 2, 2, 3, 3, 3, 1, 4, 2, 1, 1, 2, 4, 3, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 4, 1, 4, 1, 1, 2, 0, 2, 4, 2, 3, 1, 3, 2, 2, 2, 2] pubkeycol1328 = [0, 4, 0, 2, 2, 2, 4, 1, 3, 0, 2, 1, 2, 3, 4, 2, 0, 4, 1, 3, 2, 0, 2, 2, 3, 1, 0, 1, 3, 3, 1, 2, 0, 3, 3, 2, 4, 1, 3, 0, 1, 2, 1, 3, 4, 0, 1, 2, 2, 0, 0, 3, 3, 2, 4, 3, 1, 1, 2, 1, 4, 4, 4, 3, 2, 0, 3, 1, 1, 4, 2, 3, 1, 1, 0, 3, 2, 0, 2, 0, 4, 0, 4, 1, 2, 1, 0, 4, 2, 1, 3, 4, 1, 4, 4, 4, 3, 4, 4, 2, 2, 1, 0, 4, 1, 4, 4, 0, 4, 0, 0, 4, 2, 2, 2, 2, 2, 1, 2, 4, 4, 1, 0, 4, 4, 2, 0, 1, 4, 4, 3, 0, 0, 2, 4, 1, 0, 1, 0, 2, 3, 2, 0, 1, 1, 1, 3, 1, 2, 1, 2, 2, 2, 2, 0, 2, 3, 1, 2, 3, 0, 0, 3, 0, 1, 3, 1, 2, 4, 1, 4, 4, 1, 0, 3, 2, 3, 3, 1, 0, 2, 4, 2, 0, 0, 0, 0, 1, 0, 0, 1, 3, 0, 2, 4, 3, 1, 2, 2, 2, 2, 4, 1, 4, 1, 1, 0, 2, 3, 4, 0, 2, 0, 3, 0, 1, 0, 1, 2, 2, 2, 1, 2, 4, 3, 4, 0, 1, 4, 0, 1, 1, 3, 1, 4, 3, 1, 4, 4, 4, 1, 0, 2, 4, 1, 1, 3, 2, 1, 3, 3, 2, 0, 3, 4, 2, 0, 3, 2, 1, 4, 4, 0, 0, 2, 2, 2, 3, 3, 2, 1, 2, 3, 1, 3, 4, 2, 4, 2, 4, 3, 3, 2, 3, 0, 0, 1, 0, 3, 0, 3, 4, 4, 2, 1, 4, 3, 3, 0, 2, 1, 1, 4, 4, 4, 3, 0, 2, 4, 4, 1, 2, 4, 2, 0, 3, 3, 4, 1, 2, 4, 3, 4, 0, 3, 2, 1, 1, 4, 3, 2, 2, 1, 4, 1, 4, 3, 4, 0, 2, 1, 2, 1, 0, 0, 1, 3, 1, 4, 0, 0, 3, 0, 3, 2, 1, 3, 0, 3, 3, 4, 4, 1, 0, 1, 0, 2, 0, 3, 3, 3, 1, 0, 2, 1, 0, 1, 2, 2, 1, 4, 0, 3, 3, 0, 0, 1, 3, 3, 1, 4, 2, 2, 3, 4, 2, 0, 2, 1, 2] pubkeycol1329 = [0, 1, 1, 0, 3, 2, 0, 0, 3, 3, 3, 0, 2, 2, 3, 3, 0, 0, 2, 1, 3, 2, 0, 3, 1, 1, 1, 1, 4, 3, 2, 1, 2, 4, 2, 0, 4, 0, 1, 0, 3, 1, 3, 0, 4, 4, 2, 1, 4, 3, 4, 2, 1, 2, 2, 2, 3, 3, 4, 1, 2, 0, 1, 2, 2, 3, 2, 2, 2, 0, 2, 4, 4, 0, 3, 1, 1, 1, 1, 3, 3, 0, 1, 0, 3, 4, 3, 0, 2, 3, 0, 0, 3, 2, 0, 3, 3, 1, 2, 0, 3, 2, 2, 0, 0, 3, 0, 3, 0, 1, 2, 0, 3, 0, 0, 0, 3, 1, 1, 0, 1, 1, 2, 2, 0, 0, 4, 2, 4, 3, 2, 3, 4, 0, 4, 1, 4, 4, 2, 0, 1, 1, 4, 3, 1, 2, 2, 0, 0, 3, 0, 3, 0, 3, 0, 1, 1, 4, 3, 2, 3, 1, 4, 0, 3, 3, 0, 1, 4, 4, 3, 3, 1, 3, 4, 1, 1, 1, 0, 2, 4, 2, 1, 3, 1, 4, 4, 3, 3, 3, 2, 2, 2, 3, 1, 3, 0, 0, 2, 0, 2, 0, 4, 4, 1, 3, 0, 0, 3, 1, 4, 0, 4, 3, 3, 2, 4, 1, 2, 4, 2, 0, 1, 4, 1, 4, 0, 3, 2, 0, 2, 2, 1, 1, 1, 1, 4, 1, 3, 2, 2, 0, 2, 3, 3, 0, 3, 3, 3, 3, 3, 0, 4, 3, 3, 0, 4, 3, 2, 1, 3, 4, 4, 3, 2, 0, 1, 4, 4, 2, 0, 2, 1, 0, 0, 4, 2, 1, 2, 4, 2, 0, 4, 3, 1, 1, 1, 3, 1, 4, 4, 3, 3, 2, 4, 0, 2, 3, 0, 2, 2, 2, 4, 3, 4, 2, 4, 1, 4, 0, 3, 4, 2, 4, 1, 0, 2, 2, 4, 4, 0, 4, 4, 1, 3, 3, 0, 4, 0, 3, 2, 3, 4, 1, 3, 0, 3, 0, 3, 3, 2, 3, 4, 1, 2, 4, 4, 4, 4, 3, 2, 3, 3, 4, 0, 1, 2, 1, 1, 0, 2, 1, 3, 3, 1, 0, 4, 3, 1, 2, 4, 4, 1, 0, 2, 3, 3, 0, 3, 1, 3, 2, 4, 4, 3, 0, 3, 3, 1, 3, 0, 4, 0, 4, 0, 2, 0, 2, 1, 3] pubkeycol1330 = [4, 1, 0, 0, 2, 3, 4, 0, 4, 4, 2, 1, 4, 3, 2, 2, 1, 2, 4, 0, 2, 1, 1, 4, 1, 1, 2, 4, 4, 4, 2, 1, 0, 3, 2, 3, 1, 3, 2, 1, 1, 3, 1, 1, 2, 1, 2, 3, 1, 4, 4, 1, 3, 1, 3, 3, 4, 4, 4, 3, 1, 4, 1, 2, 3, 4, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 3, 3, 3, 3, 1, 1, 2, 4, 2, 1, 0, 1, 0, 1, 4, 1, 4, 4, 4, 1, 2, 1, 1, 1, 0, 0, 3, 2, 0, 0, 3, 1, 1, 2, 4, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 4, 2, 1, 3, 4, 2, 0, 1, 0, 0, 0, 2, 4, 2, 3, 3, 1, 2, 2, 4, 4, 4, 2, 3, 3, 3, 3, 4, 1, 4, 4, 4, 4, 0, 1, 4, 0, 4, 3, 4, 2, 1, 1, 0, 0, 3, 2, 4, 0, 4, 2, 3, 1, 2, 3, 4, 3, 0, 2, 0, 2, 1, 3, 1, 1, 0, 1, 2, 4, 0, 1, 1, 1, 4, 0, 0, 2, 0, 2, 0, 0, 0, 0, 3, 3, 1, 1, 3, 4, 3, 0, 2, 4, 3, 1, 4, 4, 2, 4, 1, 2, 0, 1, 0, 1, 3, 2, 3, 4, 2, 0, 4, 4, 4, 3, 0, 1, 1, 3, 1, 2, 4, 3, 2, 1, 0, 4, 1, 3, 4, 0, 0, 4, 3, 2, 4, 4, 0, 2, 4, 3, 0, 4, 0, 2, 0, 1, 0, 4, 4, 2, 1, 0, 4, 2, 4, 4, 0, 2, 3, 0, 1, 2, 0, 3, 3, 3, 1, 4, 0, 1, 4, 3, 1, 0, 2, 2, 3, 0, 1, 2, 2, 1, 3, 4, 4, 0, 4, 2, 1, 4, 2, 4, 3, 3, 3, 2, 2, 4, 0, 0, 0, 0, 1, 0, 4, 1, 1, 1, 1, 2, 0, 3, 0, 1, 2, 4, 0, 4, 4, 4, 3, 4, 3, 0, 2, 3, 0, 3, 1, 2, 3, 4, 4, 1, 2, 2, 2, 2, 4, 1, 0, 0, 0, 2, 2, 4, 4, 4, 2, 3, 4, 1, 4, 3, 1, 1, 0, 0, 4, 0, 4, 3, 4, 0, 4, 0, 1, 2, 4, 2, 3, 4, 1, 2, 0, 2, 2, 2] pubkeycol1331 = [4, 2, 2, 1, 3, 3, 2, 2, 4, 4, 3, 1, 2, 0, 4, 0, 0, 1, 4, 4, 3, 4, 0, 3, 2, 4, 2, 0, 4, 4, 1, 3, 4, 1, 0, 0, 3, 0, 4, 0, 0, 4, 2, 4, 0, 0, 4, 2, 3, 4, 0, 0, 0, 4, 1, 0, 4, 1, 4, 2, 4, 2, 1, 0, 0, 0, 3, 2, 4, 2, 1, 3, 0, 0, 2, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 3, 4, 2, 4, 4, 1, 4, 3, 0, 1, 2, 0, 4, 3, 2, 1, 3, 0, 2, 3, 4, 2, 1, 0, 4, 1, 2, 2, 1, 3, 4, 1, 0, 3, 2, 3, 4, 4, 3, 1, 2, 4, 0, 4, 1, 4, 1, 1, 4, 3, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 3, 3, 4, 2, 0, 0, 2, 0, 4, 2, 3, 2, 1, 0, 3, 4, 4, 1, 1, 2, 2, 3, 1, 2, 3, 4, 1, 0, 3, 1, 2, 4, 3, 1, 2, 4, 2, 3, 4, 4, 2, 1, 3, 2, 4, 2, 3, 4, 3, 1, 3, 0, 4, 1, 2, 4, 2, 0, 3, 0, 1, 3, 1, 0, 4, 1, 0, 3, 4, 3, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 2, 1, 3, 4, 0, 2, 2, 4, 1, 0, 4, 1, 1, 2, 3, 1, 0, 4, 1, 1, 1, 2, 0, 3, 1, 2, 2, 4, 3, 1, 4, 0, 4, 1, 2, 4, 4, 3, 4, 3, 3, 4, 3, 0, 2, 1, 2, 2, 2, 2, 0, 3, 4, 1, 3, 3, 3, 3, 2, 2, 3, 0, 4, 3, 4, 1, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 3, 2, 4, 3, 4, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 3, 1, 0, 3, 4, 0, 2, 1, 0, 1, 3, 0, 2, 3, 2, 1, 3, 4, 0, 4, 4, 0, 1, 2, 3, 0, 4, 1, 4, 0, 2, 0, 4, 0, 2, 1, 3, 0, 4, 2, 0, 1, 1, 0, 3, 3, 2, 2, 4, 0, 4, 3, 2, 3, 3, 3, 4, 3, 3, 1, 3, 4, 0, 0, 4, 3, 0, 1, 1, 2, 1, 3, 2, 2, 0, 3, 1, 1] pubkeycol1332 = [0, 1, 0, 2, 1, 1, 3, 4, 2, 0, 3, 4, 0, 3, 2, 3, 1, 4, 1, 2, 0, 0, 4, 1, 2, 2, 0, 3, 1, 4, 2, 4, 2, 4, 1, 3, 0, 4, 3, 1, 0, 2, 1, 2, 0, 1, 3, 2, 2, 3, 1, 4, 3, 3, 2, 1, 2, 4, 4, 3, 2, 1, 4, 3, 1, 0, 4, 4, 4, 4, 0, 1, 1, 0, 4, 4, 1, 3, 1, 3, 2, 3, 0, 3, 1, 4, 2, 0, 4, 0, 2, 3, 3, 1, 0, 2, 4, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 4, 2, 4, 3, 2, 2, 3, 2, 0, 3, 0, 1, 0, 1, 0, 3, 4, 0, 1, 2, 1, 2, 0, 0, 0, 3, 4, 1, 4, 1, 2, 0, 3, 4, 1, 3, 2, 3, 0, 1, 4, 0, 3, 1, 0, 3, 4, 1, 1, 3, 1, 3, 0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 4, 0, 0, 0, 0, 1, 1, 2, 3, 0, 0, 1, 4, 4, 4, 3, 0, 0, 2, 1, 0, 1, 4, 4, 0, 3, 3, 3, 1, 0, 0, 0, 2, 0, 4, 2, 1, 1, 4, 2, 1, 4, 4, 4, 2, 2, 0, 4, 1, 3, 0, 3, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4, 1, 3, 0, 4, 4, 1, 1, 1, 1, 4, 3, 1, 2, 1, 0, 1, 4, 3, 2, 1, 0, 4, 2, 2, 0, 1, 1, 4, 1, 3, 1, 4, 1, 4, 0, 3, 1, 2, 0, 2, 4, 0, 4, 3, 3, 1, 4, 4, 3, 0, 0, 1, 2, 0, 3, 4, 3, 1, 4, 3, 4, 0, 4, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 4, 4, 2, 4, 1, 2, 1, 0, 0, 0, 3, 2, 2, 1, 3, 3, 3, 0, 1, 4, 0, 0, 0, 0, 1, 1, 2, 0, 2, 4, 0, 0, 3, 1, 0, 1, 3, 2, 2, 2, 0, 2, 4, 1, 2, 1, 4, 2, 2, 2, 4, 4, 4, 3, 1, 0, 3, 0, 0, 0, 4, 4, 2, 0, 0, 1, 3, 3, 1, 2, 1, 1, 0, 1, 0, 4, 1, 3, 2, 3, 3, 2, 4, 0, 1, 1, 2, 1, 1, 4, 3] pubkeycol1333 = [0, 0, 4, 1, 1, 0, 3, 0, 2, 1, 2, 1, 0, 0, 1, 3, 0, 4, 3, 4, 0, 1, 0, 3, 4, 0, 1, 3, 0, 3, 0, 3, 0, 3, 0, 1, 1, 0, 3, 4, 4, 2, 4, 2, 0, 2, 4, 2, 2, 0, 2, 1, 3, 2, 2, 0, 4, 1, 2, 3, 1, 3, 4, 1, 1, 1, 2, 2, 1, 4, 4, 4, 3, 2, 0, 3, 3, 0, 2, 1, 0, 4, 4, 4, 1, 4, 0, 4, 0, 4, 3, 0, 3, 1, 2, 4, 3, 2, 2, 4, 1, 1, 2, 0, 0, 2, 4, 3, 0, 2, 4, 1, 1, 2, 1, 3, 3, 2, 2, 1, 3, 0, 3, 4, 0, 3, 3, 0, 4, 3, 0, 3, 4, 2, 0, 1, 1, 3, 0, 2, 4, 3, 4, 1, 1, 3, 1, 0, 2, 1, 0, 4, 4, 3, 4, 0, 4, 4, 2, 3, 3, 1, 4, 3, 4, 4, 0, 4, 4, 2, 4, 2, 2, 2, 3, 4, 3, 1, 4, 0, 0, 3, 4, 2, 1, 3, 1, 4, 0, 4, 1, 1, 3, 4, 2, 2, 1, 0, 4, 3, 1, 2, 1, 2, 2, 1, 2, 3, 1, 1, 0, 3, 4, 0, 0, 2, 1, 1, 2, 0, 3, 0, 0, 3, 1, 3, 1, 1, 3, 4, 2, 4, 0, 4, 3, 4, 4, 0, 3, 0, 4, 4, 0, 4, 3, 3, 2, 3, 0, 4, 4, 2, 4, 1, 2, 2, 1, 4, 0, 1, 3, 3, 1, 2, 4, 4, 1, 4, 2, 2, 3, 2, 2, 2, 4, 1, 0, 4, 1, 1, 3, 2, 4, 3, 0, 3, 4, 4, 3, 4, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 3, 0, 2, 1, 4, 0, 1, 3, 3, 3, 2, 2, 2, 4, 0, 1, 2, 3, 2, 1, 1, 3, 0, 4, 4, 0, 1, 1, 4, 2, 3, 3, 2, 3, 1, 4, 0, 0, 4, 4, 3, 4, 3, 0, 0, 0, 1, 4, 3, 4, 3, 2, 1, 2, 1, 1, 4, 2, 2, 1, 3, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 3, 3, 4, 2, 3, 1, 4, 3, 3, 2, 2, 2, 3, 0, 4, 4, 2, 1, 3, 3, 4, 4] pubkeycol1334 = [0, 2, 4, 4, 3, 0, 3, 0, 4, 0, 0, 3, 3, 0, 0, 1, 2, 4, 4, 3, 0, 3, 1, 1, 3, 3, 2, 1, 1, 1, 2, 0, 1, 4, 3, 0, 2, 3, 0, 0, 0, 1, 3, 4, 3, 2, 2, 3, 0, 3, 1, 1, 0, 2, 4, 0, 4, 2, 4, 2, 0, 4, 3, 2, 0, 0, 0, 0, 0, 3, 0, 3, 1, 3, 0, 4, 3, 4, 1, 4, 4, 0, 2, 4, 2, 0, 4, 1, 2, 3, 0, 0, 2, 1, 1, 4, 0, 4, 4, 4, 1, 0, 4, 4, 2, 2, 0, 1, 1, 2, 0, 4, 4, 1, 2, 3, 3, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 3, 4, 2, 4, 4, 0, 2, 0, 1, 0, 3, 1, 4, 0, 1, 4, 4, 3, 1, 4, 3, 0, 3, 3, 3, 0, 2, 0, 2, 0, 3, 2, 1, 4, 1, 0, 1, 0, 1, 0, 1, 2, 1, 3, 1, 3, 2, 1, 4, 4, 3, 2, 4, 3, 3, 2, 0, 1, 0, 1, 2, 0, 2, 3, 3, 3, 1, 0, 0, 3, 1, 4, 3, 1, 2, 2, 2, 1, 4, 3, 3, 0, 2, 3, 1, 4, 1, 0, 1, 0, 1, 2, 3, 0, 4, 4, 3, 3, 2, 4, 1, 4, 4, 4, 4, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 3, 4, 3, 4, 4, 1, 0, 4, 0, 0, 2, 0, 4, 1, 1, 3, 2, 0, 4, 1, 2, 1, 3, 3, 1, 1, 2, 3, 4, 3, 4, 1, 3, 0, 1, 0, 1, 1, 2, 0, 0, 2, 4, 2, 1, 2, 3, 3, 4, 1, 4, 3, 2, 1, 0, 3, 3, 3, 3, 1, 3, 1, 4, 4, 4, 0, 1, 1, 2, 4, 2, 3, 2, 2, 1, 2, 3, 1, 1, 2, 4, 0, 4, 0, 2, 2, 1, 1, 3, 3, 4, 0, 4, 4, 1, 4, 0, 0, 2, 3, 3, 1, 3, 2, 4, 2, 3, 0, 1, 3, 4, 0, 1, 4, 1, 2, 0, 1, 1, 0, 0, 2, 4, 2, 1, 2, 0, 2, 0, 4, 1, 0, 0, 0, 3, 1, 4, 4, 2, 0, 2, 2, 3, 1, 0, 2, 3, 3, 1, 3, 0, 0, 3, 1] pubkeycol1335 = [0, 3, 1, 4, 3, 4, 4, 0, 2, 1, 1, 1, 3, 4, 0, 0, 3, 0, 1, 1, 3, 4, 2, 1, 0, 3, 0, 1, 3, 1, 0, 4, 3, 3, 4, 2, 1, 3, 2, 3, 0, 3, 1, 4, 0, 0, 2, 2, 2, 3, 0, 0, 3, 0, 0, 4, 2, 0, 1, 2, 3, 4, 4, 4, 2, 1, 1, 4, 3, 3, 3, 2, 1, 0, 0, 4, 0, 1, 4, 0, 1, 2, 2, 3, 0, 3, 4, 1, 1, 4, 1, 0, 2, 1, 4, 4, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 4, 3, 4, 3, 2, 3, 1, 0, 0, 1, 2, 1, 4, 4, 4, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 4, 4, 1, 2, 0, 4, 4, 1, 3, 2, 2, 1, 2, 4, 2, 0, 3, 2, 0, 3, 1, 2, 4, 4, 4, 1, 1, 2, 0, 0, 3, 4, 2, 4, 4, 0, 2, 3, 1, 3, 3, 4, 4, 1, 2, 4, 2, 2, 3, 2, 4, 2, 2, 1, 4, 4, 2, 0, 4, 4, 0, 3, 3, 4, 3, 4, 2, 1, 1, 4, 0, 3, 3, 4, 1, 1, 3, 1, 4, 0, 0, 2, 3, 0, 1, 4, 0, 1, 4, 1, 2, 3, 0, 1, 4, 2, 3, 3, 0, 2, 2, 3, 0, 2, 1, 1, 2, 0, 4, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 2, 1, 1, 4, 3, 2, 1, 4, 1, 2, 3, 0, 1, 3, 4, 4, 3, 4, 0, 1, 4, 4, 1, 0, 1, 4, 0, 3, 4, 3, 3, 1, 2, 0, 3, 4, 2, 3, 4, 3, 0, 3, 3, 4, 2, 4, 2, 2, 3, 0, 2, 2, 2, 2, 3, 0, 3, 1, 2, 1, 4, 2, 2, 0, 1, 1, 4, 3, 0, 2, 3, 2, 0, 0, 0, 3, 0, 0, 2, 0, 1, 3, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 3, 2, 3, 1, 3, 1, 3, 0, 1, 1, 2, 1, 1, 0, 4, 4, 3, 1, 0, 4, 1, 2, 4, 0, 1, 1, 3, 0, 2, 1, 1, 0, 0, 3, 1, 3, 0, 3, 3, 0, 3, 4, 1, 3, 2, 3, 4, 2, 3] pubkeycol1336 = [2, 2, 0, 1, 4, 0, 0, 2, 3, 4, 1, 1, 4, 4, 0, 4, 3, 0, 1, 3, 3, 4, 1, 1, 1, 4, 1, 3, 2, 0, 4, 3, 2, 0, 3, 1, 3, 1, 0, 4, 3, 0, 4, 0, 0, 3, 1, 1, 4, 1, 3, 4, 0, 3, 0, 3, 3, 0, 1, 1, 1, 4, 2, 3, 2, 4, 1, 3, 1, 4, 2, 2, 0, 2, 3, 1, 0, 3, 1, 1, 0, 1, 1, 0, 1, 0, 4, 2, 1, 1, 1, 2, 4, 1, 1, 0, 4, 0, 3, 1, 1, 3, 2, 1, 1, 0, 1, 4, 3, 4, 0, 2, 3, 2, 3, 4, 1, 3, 4, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 3, 0, 0, 2, 3, 4, 2, 3, 2, 2, 3, 0, 2, 0, 0, 4, 4, 0, 4, 2, 2, 2, 3, 1, 0, 1, 2, 1, 2, 3, 3, 2, 0, 3, 3, 3, 2, 4, 1, 1, 3, 2, 2, 3, 2, 1, 0, 2, 0, 3, 4, 1, 0, 1, 3, 0, 0, 4, 2, 4, 1, 0, 1, 1, 1, 4, 3, 1, 4, 4, 3, 2, 0, 0, 1, 3, 4, 1, 1, 0, 0, 1, 4, 3, 4, 4, 4, 0, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 4, 2, 0, 4, 3, 1, 0, 4, 3, 3, 4, 2, 4, 1, 3, 1, 1, 1, 3, 3, 3, 1, 4, 1, 1, 3, 0, 2, 2, 4, 4, 0, 0, 3, 0, 2, 0, 4, 1, 4, 3, 1, 2, 0, 3, 4, 4, 3, 2, 0, 3, 0, 4, 2, 1, 1, 4, 4, 3, 4, 0, 2, 4, 3, 2, 3, 1, 2, 4, 1, 2, 3, 4, 4, 4, 1, 4, 3, 1, 1, 3, 3, 1, 4, 2, 0, 3, 2, 1, 4, 4, 1, 1, 3, 4, 0, 2, 1, 2, 4, 2, 0, 3, 2, 3, 3, 3, 3, 2, 4, 2, 1, 0, 1, 0, 4, 2, 2, 2, 3, 0, 2, 1, 4, 4, 4, 1, 0, 4, 3, 1, 0, 0, 3, 0, 0, 2, 1, 0, 4, 2, 2, 1, 1, 3, 1, 1, 3, 2, 4, 4, 3, 4, 3, 3, 3, 3, 0, 1, 3, 1, 2, 1, 4, 3, 3, 0, 2, 4, 3, 0, 1, 0] pubkeycol1337 = [1, 0, 1, 1, 1, 2, 3, 0, 4, 3, 3, 2, 0, 4, 3, 1, 3, 1, 4, 4, 3, 4, 4, 1, 4, 3, 3, 3, 1, 3, 3, 2, 1, 4, 3, 4, 4, 3, 1, 1, 4, 3, 1, 3, 3, 3, 4, 3, 1, 4, 3, 0, 4, 2, 4, 0, 2, 1, 2, 4, 1, 1, 4, 1, 1, 1, 4, 0, 0, 2, 2, 1, 3, 0, 2, 4, 4, 0, 3, 4, 2, 2, 4, 3, 0, 4, 3, 3, 4, 0, 0, 0, 0, 3, 0, 4, 2, 1, 1, 4, 4, 3, 0, 3, 2, 2, 3, 2, 4, 3, 3, 1, 3, 1, 2, 2, 0, 0, 4, 4, 4, 3, 0, 2, 0, 4, 2, 3, 1, 4, 4, 1, 2, 2, 4, 2, 1, 0, 2, 1, 2, 3, 4, 1, 4, 2, 1, 1, 0, 1, 4, 4, 2, 4, 1, 0, 0, 2, 4, 3, 0, 1, 2, 3, 2, 1, 2, 3, 1, 3, 4, 0, 2, 0, 4, 3, 1, 4, 3, 4, 3, 4, 3, 2, 2, 2, 1, 0, 2, 3, 3, 2, 3, 4, 4, 2, 4, 4, 2, 4, 2, 1, 1, 1, 3, 0, 1, 0, 1, 3, 4, 0, 3, 0, 3, 2, 3, 1, 2, 4, 3, 4, 2, 0, 0, 0, 3, 2, 3, 2, 3, 4, 3, 0, 1, 4, 1, 3, 3, 0, 2, 2, 0, 1, 1, 2, 0, 4, 2, 1, 1, 4, 4, 3, 3, 3, 2, 2, 2, 1, 0, 1, 0, 3, 0, 4, 1, 0, 4, 1, 3, 4, 4, 4, 3, 1, 4, 3, 4, 4, 0, 2, 1, 0, 0, 1, 3, 1, 0, 3, 1, 0, 4, 0, 0, 0, 4, 4, 1, 2, 4, 2, 4, 4, 4, 3, 0, 1, 4, 1, 1, 2, 0, 3, 2, 1, 4, 1, 4, 3, 4, 3, 0, 0, 3, 1, 0, 3, 1, 2, 4, 2, 3, 3, 3, 0, 1, 3, 0, 0, 2, 4, 0, 1, 0, 2, 3, 0, 4, 2, 1, 3, 3, 1, 0, 3, 2, 1, 0, 4, 3, 3, 4, 4, 4, 2, 1, 2, 0, 4, 0, 4, 1, 3, 2, 4, 1, 3, 3, 1, 4, 1, 2, 3, 3, 3, 0, 0, 2, 4, 3, 3, 4, 3, 1, 2, 0, 1, 2, 2] pubkeycol1338 = [2, 3, 2, 4, 0, 4, 1, 1, 1, 3, 2, 2, 0, 4, 1, 0, 3, 2, 4, 1, 1, 1, 1, 1, 2, 0, 4, 2, 0, 1, 0, 0, 4, 1, 4, 1, 1, 2, 4, 3, 2, 0, 0, 3, 4, 1, 4, 1, 4, 0, 2, 2, 3, 4, 4, 0, 3, 0, 1, 1, 3, 0, 3, 4, 2, 0, 2, 0, 4, 4, 3, 0, 3, 0, 3, 1, 4, 0, 1, 4, 4, 2, 1, 3, 3, 3, 2, 3, 1, 1, 4, 4, 0, 4, 3, 2, 2, 2, 3, 3, 4, 1, 1, 0, 3, 1, 2, 4, 2, 3, 0, 4, 2, 4, 4, 0, 1, 4, 0, 0, 1, 0, 0, 2, 2, 1, 4, 2, 2, 4, 3, 3, 0, 4, 0, 4, 0, 2, 4, 0, 1, 1, 0, 1, 2, 2, 3, 2, 4, 1, 0, 1, 0, 0, 2, 3, 1, 2, 4, 3, 4, 1, 2, 1, 2, 0, 2, 4, 2, 1, 1, 2, 4, 4, 1, 2, 0, 1, 1, 1, 1, 0, 2, 3, 4, 0, 3, 3, 2, 1, 4, 0, 2, 0, 1, 0, 0, 1, 4, 4, 3, 0, 3, 2, 4, 3, 1, 3, 3, 4, 3, 2, 4, 0, 2, 3, 2, 0, 3, 2, 3, 4, 3, 2, 4, 0, 2, 1, 4, 4, 1, 0, 3, 1, 0, 1, 3, 1, 0, 0, 3, 3, 0, 0, 0, 0, 3, 2, 1, 1, 0, 0, 0, 4, 0, 0, 2, 0, 0, 3, 3, 1, 2, 4, 3, 1, 2, 2, 4, 4, 4, 4, 3, 4, 3, 4, 3, 1, 1, 3, 0, 4, 0, 1, 2, 3, 0, 0, 4, 2, 3, 4, 3, 0, 2, 2, 2, 2, 4, 4, 4, 1, 0, 4, 3, 3, 1, 1, 0, 0, 1, 3, 3, 4, 3, 3, 2, 0, 3, 4, 4, 3, 3, 2, 3, 4, 1, 4, 1, 1, 3, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 4, 3, 4, 3, 2, 4, 0, 1, 1, 3, 1, 1, 0, 4, 1, 1, 3, 1, 1, 1, 2, 4, 1, 1, 4, 3, 3, 3, 4, 3, 1, 1, 2, 3, 4, 3, 1, 2, 4, 1, 4, 2, 0, 2, 1, 3, 3, 2, 3, 2, 4, 4, 2, 0, 3, 4, 3, 4] pubkeycol1339 = [3, 1, 1, 4, 4, 1, 3, 4, 3, 1, 3, 4, 2, 4, 1, 3, 2, 2, 3, 4, 1, 4, 2, 3, 4, 1, 0, 1, 3, 3, 4, 1, 1, 3, 1, 3, 1, 0, 4, 3, 1, 4, 1, 0, 2, 1, 1, 1, 3, 1, 3, 0, 3, 4, 0, 1, 4, 3, 3, 4, 3, 4, 4, 2, 4, 1, 3, 2, 2, 1, 4, 0, 3, 4, 4, 0, 1, 2, 3, 3, 3, 2, 3, 0, 2, 1, 4, 1, 1, 3, 1, 4, 0, 1, 2, 3, 4, 0, 2, 4, 0, 3, 1, 2, 2, 2, 1, 1, 3, 1, 4, 0, 3, 0, 2, 0, 0, 0, 1, 2, 4, 1, 4, 3, 0, 4, 1, 2, 4, 4, 1, 3, 4, 1, 4, 1, 1, 1, 1, 0, 4, 2, 4, 0, 4, 4, 4, 1, 4, 3, 1, 1, 4, 2, 4, 2, 1, 2, 2, 2, 2, 3, 4, 1, 1, 1, 1, 1, 3, 4, 2, 4, 4, 1, 3, 1, 4, 0, 4, 4, 3, 1, 4, 1, 0, 4, 2, 3, 3, 4, 2, 3, 3, 2, 4, 2, 0, 4, 4, 0, 3, 3, 4, 3, 3, 3, 0, 4, 3, 4, 3, 2, 1, 1, 2, 4, 0, 1, 3, 4, 2, 3, 2, 2, 1, 3, 4, 0, 2, 4, 2, 1, 1, 4, 1, 0, 4, 3, 4, 2, 4, 1, 4, 4, 0, 1, 0, 0, 1, 1, 3, 4, 3, 0, 4, 0, 0, 3, 1, 3, 1, 2, 4, 3, 3, 3, 0, 1, 2, 2, 2, 2, 1, 1, 0, 3, 2, 2, 3, 1, 2, 3, 1, 3, 3, 4, 2, 4, 1, 3, 1, 1, 0, 3, 2, 3, 4, 1, 1, 1, 3, 2, 2, 3, 1, 0, 0, 4, 3, 4, 4, 1, 2, 4, 4, 0, 1, 3, 2, 1, 0, 3, 2, 3, 3, 4, 4, 0, 4, 3, 3, 0, 0, 2, 0, 4, 2, 2, 2, 3, 1, 0, 4, 1, 3, 3, 3, 1, 0, 0, 4, 1, 1, 4, 0, 4, 3, 4, 4, 1, 0, 2, 3, 4, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 4, 0, 3, 3, 0, 2, 2, 0, 0, 0, 4, 4, 2, 1, 2, 0, 1, 1, 4, 4, 2, 1, 4, 4, 1, 4] pubkeycol1340 = [0, 1, 2, 2, 1, 0, 3, 2, 4, 2, 1, 2, 3, 4, 0, 4, 2, 4, 2, 1, 3, 0, 4, 3, 4, 2, 3, 0, 0, 0, 0, 2, 3, 4, 2, 0, 0, 4, 0, 2, 0, 2, 4, 3, 0, 1, 0, 3, 0, 0, 0, 3, 3, 4, 3, 0, 4, 4, 1, 1, 3, 2, 4, 4, 1, 1, 0, 2, 0, 0, 4, 0, 4, 4, 3, 3, 0, 3, 3, 2, 4, 1, 0, 0, 1, 4, 3, 4, 0, 4, 0, 2, 4, 2, 1, 1, 4, 1, 2, 1, 3, 3, 1, 4, 1, 3, 2, 4, 1, 2, 4, 0, 1, 0, 4, 2, 3, 2, 0, 3, 1, 4, 1, 0, 4, 3, 1, 2, 1, 2, 3, 0, 3, 2, 0, 1, 4, 0, 3, 3, 0, 0, 4, 1, 3, 2, 1, 4, 2, 3, 4, 3, 3, 0, 2, 0, 3, 4, 2, 1, 4, 1, 3, 2, 1, 0, 1, 4, 0, 0, 4, 1, 4, 3, 3, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 3, 0, 3, 2, 4, 2, 0, 1, 1, 0, 0, 1, 2, 3, 3, 1, 1, 2, 2, 3, 1, 3, 0, 4, 3, 1, 2, 1, 1, 2, 1, 1, 2, 0, 3, 3, 0, 4, 3, 2, 1, 2, 2, 0, 4, 3, 2, 3, 2, 0, 3, 4, 2, 2, 0, 1, 0, 4, 3, 4, 1, 1, 2, 2, 2, 3, 3, 0, 4, 3, 2, 1, 0, 4, 4, 1, 4, 1, 1, 4, 1, 2, 1, 4, 4, 1, 0, 3, 1, 3, 2, 4, 0, 4, 0, 1, 4, 3, 1, 2, 2, 2, 0, 4, 0, 1, 4, 3, 4, 1, 3, 3, 0, 0, 2, 0, 1, 2, 4, 0, 3, 3, 2, 0, 4, 0, 4, 3, 2, 2, 2, 4, 4, 0, 1, 0, 1, 2, 2, 1, 4, 0, 2, 4, 2, 1, 3, 0, 4, 1, 3, 0, 3, 1, 0, 2, 2, 1, 0, 3, 1, 0, 3, 3, 1, 1, 4, 3, 0, 4, 2, 0, 0, 2, 1, 1, 2, 0, 4, 1, 1, 1, 4, 3, 2, 0, 0, 3, 2, 3, 0, 3, 4, 0, 1, 3, 2, 2, 2, 1, 2, 3, 4, 2, 3, 4, 3, 2, 0, 4, 0, 4] pubkeycol1341 = [2, 2, 0, 0, 3, 3, 4, 2, 2, 4, 4, 2, 3, 1, 3, 4, 4, 2, 4, 1, 1, 4, 3, 2, 0, 2, 0, 0, 0, 1, 1, 4, 4, 1, 0, 1, 3, 1, 1, 3, 2, 4, 1, 3, 4, 4, 1, 1, 4, 0, 4, 1, 4, 1, 1, 4, 4, 4, 4, 2, 1, 1, 1, 2, 4, 2, 3, 0, 0, 0, 4, 3, 0, 4, 3, 1, 3, 1, 2, 3, 1, 1, 1, 1, 0, 3, 4, 3, 4, 2, 4, 1, 1, 0, 4, 4, 3, 0, 0, 4, 1, 0, 4, 4, 2, 0, 2, 3, 1, 4, 0, 2, 3, 4, 2, 0, 3, 1, 2, 1, 4, 4, 1, 3, 3, 2, 4, 4, 1, 2, 0, 2, 1, 2, 4, 1, 2, 3, 2, 0, 0, 4, 3, 4, 0, 0, 3, 4, 3, 2, 3, 3, 3, 0, 2, 2, 1, 1, 3, 3, 2, 4, 0, 3, 2, 2, 0, 0, 3, 0, 4, 3, 1, 2, 4, 1, 3, 1, 2, 0, 4, 4, 4, 3, 3, 0, 4, 0, 0, 2, 2, 3, 0, 1, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 0, 4, 0, 4, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 3, 4, 3, 0, 3, 2, 2, 0, 3, 0, 0, 3, 3, 3, 0, 4, 0, 1, 1, 0, 3, 2, 3, 3, 3, 4, 1, 1, 2, 1, 0, 0, 3, 4, 4, 3, 4, 3, 2, 1, 1, 4, 2, 4, 2, 2, 1, 3, 2, 3, 2, 4, 1, 1, 4, 0, 4, 4, 0, 4, 4, 0, 2, 0, 4, 4, 2, 1, 2, 2, 2, 2, 3, 3, 1, 0, 1, 0, 4, 3, 4, 2, 1, 2, 4, 2, 2, 2, 0, 1, 3, 1, 0, 1, 0, 1, 4, 2, 4, 4, 2, 1, 0, 2, 1, 1, 4, 0, 2, 4, 4, 2, 4, 3, 1, 3, 4, 1, 3, 4, 4, 3, 4, 4, 3, 1, 3, 4, 1, 2, 2, 3, 3, 2, 1, 3, 1, 1, 1, 1, 0, 3, 1, 2, 0, 1, 3, 3, 3, 0, 0, 0, 4, 3, 0, 4, 0, 0, 3, 3, 1, 0, 2, 3, 4, 2, 2, 1, 1, 2, 2, 3, 2, 0, 4, 4, 0, 1] pubkeycol1342 = [1, 2, 0, 1, 4, 2, 0, 0, 1, 1, 4, 2, 3, 3, 4, 2, 4, 1, 3, 4, 3, 1, 1, 4, 0, 0, 3, 3, 4, 0, 4, 2, 0, 3, 4, 0, 4, 0, 3, 1, 0, 2, 3, 0, 4, 0, 0, 2, 3, 3, 3, 4, 2, 3, 3, 0, 0, 3, 3, 2, 2, 1, 1, 1, 4, 4, 3, 2, 4, 0, 4, 3, 3, 3, 2, 4, 2, 3, 4, 1, 2, 0, 3, 0, 2, 2, 0, 4, 2, 3, 0, 3, 2, 1, 4, 4, 1, 2, 3, 3, 3, 4, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 3, 3, 2, 2, 4, 4, 1, 0, 4, 3, 0, 1, 3, 1, 0, 1, 1, 0, 2, 0, 4, 0, 2, 0, 0, 2, 2, 1, 4, 0, 0, 3, 1, 0, 2, 1, 0, 2, 0, 4, 1, 4, 4, 2, 2, 4, 1, 1, 3, 3, 3, 1, 1, 2, 3, 0, 4, 0, 4, 3, 2, 2, 4, 2, 4, 1, 2, 1, 2, 3, 1, 2, 1, 2, 2, 0, 2, 3, 3, 0, 0, 1, 4, 4, 1, 2, 1, 4, 3, 3, 3, 2, 2, 0, 2, 4, 1, 1, 3, 2, 2, 1, 4, 3, 3, 3, 2, 0, 2, 3, 4, 2, 2, 0, 1, 0, 2, 3, 4, 3, 2, 1, 1, 0, 2, 4, 4, 3, 1, 2, 0, 3, 1, 4, 3, 3, 2, 3, 0, 1, 2, 1, 3, 4, 3, 1, 0, 2, 2, 3, 0, 3, 2, 2, 4, 3, 4, 4, 2, 2, 3, 3, 4, 1, 4, 0, 4, 0, 0, 0, 4, 4, 1, 4, 4, 3, 1, 3, 3, 0, 0, 2, 1, 2, 4, 0, 3, 0, 0, 0, 1, 4, 1, 4, 0, 2, 4, 3, 4, 3, 2, 1, 0, 2, 2, 4, 3, 3, 4, 4, 2, 3, 1, 2, 0, 2, 4, 4, 2, 0, 3, 2, 1, 3, 1, 3, 3, 1, 3, 4, 0, 2, 0, 0, 0, 4, 1, 0, 4, 3, 1, 4, 3, 1, 4, 0, 4, 2, 1, 1, 1, 4, 3, 4, 2, 4, 4, 4, 1, 2, 4, 3, 1, 2, 4, 3, 0, 2, 2, 0, 3, 4, 4, 4, 1, 3, 1, 2, 3, 0, 3, 2, 2, 0, 0] pubkeycol1343 = [4, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 1, 2, 1, 2, 3, 0, 2, 0, 0, 1, 0, 3, 4, 2, 2, 0, 4, 4, 3, 1, 3, 4, 1, 1, 4, 4, 1, 4, 1, 3, 4, 3, 2, 2, 2, 1, 4, 0, 3, 3, 2, 2, 2, 4, 1, 0, 0, 2, 1, 4, 4, 4, 1, 4, 0, 0, 0, 1, 1, 2, 4, 4, 2, 3, 3, 2, 2, 4, 4, 4, 1, 2, 0, 4, 2, 3, 0, 0, 4, 0, 2, 2, 4, 1, 0, 1, 1, 4, 1, 3, 1, 4, 2, 1, 0, 4, 1, 3, 2, 3, 2, 3, 4, 0, 2, 2, 1, 2, 1, 3, 4, 3, 2, 0, 0, 0, 3, 4, 1, 0, 3, 4, 1, 3, 1, 1, 0, 1, 2, 3, 0, 4, 2, 4, 1, 3, 0, 3, 3, 0, 0, 4, 0, 2, 2, 2, 4, 4, 0, 4, 3, 1, 1, 1, 1, 4, 3, 4, 1, 4, 2, 1, 3, 2, 1, 2, 0, 4, 1, 4, 1, 3, 4, 1, 2, 4, 3, 1, 2, 3, 0, 3, 3, 2, 0, 4, 0, 2, 0, 1, 0, 2, 0, 4, 2, 0, 1, 4, 1, 4, 2, 1, 1, 3, 3, 4, 3, 2, 2, 3, 3, 0, 4, 0, 1, 3, 1, 0, 3, 2, 0, 4, 2, 0, 0, 2, 0, 1, 4, 0, 0, 1, 3, 3, 1, 4, 3, 0, 4, 3, 1, 2, 4, 1, 2, 2, 2, 2, 4, 3, 3, 2, 2, 2, 1, 4, 3, 0, 1, 0, 4, 0, 0, 4, 3, 1, 3, 3, 2, 2, 3, 1, 0, 3, 3, 0, 0, 0, 2, 0, 0, 4, 2, 0, 1, 3, 0, 1, 1, 4, 1, 3, 3, 4, 2, 2, 4, 1, 3, 2, 0, 1, 3, 0, 1, 3, 2, 0, 1, 0, 0, 3, 1, 0, 1, 0, 3, 1, 3, 3, 4, 0, 4, 0, 1, 4, 0, 2, 1, 0, 0, 0, 0, 4, 4, 3, 3, 0, 4, 0, 3, 0, 4, 4, 3, 1, 2, 3, 1, 2, 1, 4, 4, 0, 2, 2, 2, 3, 3, 1, 1, 3, 3, 3, 4, 3, 0, 2, 3, 2, 0, 3, 2, 1, 4, 2, 1, 3, 4, 4, 3, 4, 0, 1, 2, 1, 0] pubkeycol1344 = [2, 3, 3, 4, 4, 1, 4, 1, 1, 0, 2, 4, 1, 4, 2, 2, 2, 4, 1, 3, 4, 1, 1, 0, 0, 3, 4, 3, 1, 3, 3, 2, 3, 0, 2, 2, 1, 0, 3, 3, 4, 2, 1, 3, 1, 0, 0, 2, 1, 0, 0, 3, 4, 1, 3, 4, 1, 0, 4, 0, 1, 4, 3, 0, 3, 3, 0, 3, 4, 2, 3, 1, 2, 4, 2, 4, 2, 0, 2, 0, 1, 2, 4, 0, 4, 4, 1, 1, 2, 3, 1, 2, 4, 4, 2, 1, 1, 3, 0, 1, 3, 2, 2, 3, 1, 3, 4, 3, 1, 1, 2, 3, 3, 0, 0, 2, 0, 4, 4, 2, 4, 2, 4, 3, 0, 2, 2, 1, 2, 1, 0, 4, 4, 4, 2, 1, 3, 0, 1, 0, 2, 2, 1, 4, 0, 0, 2, 0, 0, 4, 0, 0, 3, 3, 2, 2, 0, 2, 2, 4, 2, 2, 1, 1, 0, 3, 1, 2, 0, 4, 4, 0, 3, 0, 2, 3, 0, 3, 4, 0, 3, 0, 3, 2, 1, 2, 3, 0, 4, 3, 0, 1, 2, 1, 3, 0, 4, 3, 1, 4, 1, 1, 1, 3, 2, 3, 2, 0, 1, 4, 1, 2, 3, 3, 4, 1, 3, 0, 1, 0, 4, 0, 1, 1, 0, 4, 0, 1, 4, 1, 4, 3, 0, 2, 4, 2, 3, 0, 4, 3, 0, 3, 0, 4, 4, 1, 0, 4, 1, 4, 0, 1, 1, 0, 0, 4, 2, 1, 4, 1, 3, 0, 0, 1, 4, 2, 3, 0, 4, 2, 4, 0, 2, 2, 0, 2, 0, 4, 0, 0, 4, 1, 4, 3, 3, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 3, 0, 4, 4, 3, 3, 2, 0, 0, 0, 4, 2, 0, 0, 2, 2, 3, 1, 1, 4, 3, 1, 3, 1, 1, 1, 3, 2, 3, 1, 3, 0, 3, 3, 4, 4, 4, 0, 0, 3, 4, 0, 0, 1, 2, 3, 2, 3, 0, 3, 2, 4, 0, 1, 1, 0, 0, 2, 0, 4, 1, 2, 1, 4, 2, 4, 2, 2, 3, 2, 2, 4, 0, 3, 0, 2, 1, 3, 3, 3, 4, 2, 4, 0, 4, 2, 2, 4, 2, 0, 4, 2, 0, 4, 2, 4, 0, 1, 2, 0, 1, 3, 0, 0, 2] pubkeycol1345 = [3, 2, 3, 0, 0, 2, 3, 2, 4, 0, 0, 2, 2, 0, 1, 4, 4, 2, 4, 4, 4, 2, 2, 2, 3, 0, 3, 2, 3, 4, 3, 0, 2, 4, 0, 1, 2, 0, 0, 2, 3, 1, 0, 1, 2, 4, 0, 0, 3, 2, 2, 2, 0, 4, 4, 3, 0, 4, 2, 2, 2, 1, 0, 3, 2, 0, 1, 3, 1, 1, 0, 0, 3, 2, 0, 1, 4, 4, 3, 1, 2, 1, 3, 1, 1, 2, 4, 3, 3, 3, 0, 0, 3, 4, 0, 2, 0, 3, 1, 4, 4, 2, 3, 1, 0, 1, 0, 4, 1, 0, 4, 3, 2, 3, 2, 3, 1, 0, 4, 2, 2, 0, 0, 3, 1, 1, 2, 3, 3, 1, 1, 2, 1, 2, 3, 3, 4, 2, 1, 3, 3, 3, 0, 3, 0, 3, 3, 3, 4, 2, 1, 4, 2, 3, 2, 3, 1, 2, 3, 1, 0, 3, 4, 2, 1, 3, 3, 3, 1, 2, 2, 3, 4, 4, 1, 4, 4, 0, 0, 1, 2, 1, 3, 1, 2, 0, 3, 2, 4, 4, 3, 3, 0, 1, 3, 4, 0, 1, 1, 0, 0, 3, 2, 3, 3, 1, 1, 3, 2, 3, 0, 3, 4, 3, 0, 1, 0, 1, 3, 3, 4, 1, 4, 3, 2, 1, 4, 1, 0, 2, 2, 1, 0, 1, 4, 3, 3, 1, 3, 0, 0, 0, 0, 2, 4, 3, 4, 0, 2, 2, 3, 2, 0, 1, 0, 2, 3, 3, 0, 0, 4, 0, 0, 4, 2, 2, 4, 4, 3, 2, 1, 2, 4, 3, 4, 0, 0, 4, 1, 0, 1, 1, 3, 0, 3, 3, 2, 0, 0, 1, 4, 3, 2, 2, 2, 4, 4, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 0, 1, 0, 3, 3, 3, 1, 2, 0, 0, 1, 1, 0, 4, 0, 0, 1, 0, 0, 2, 1, 4, 3, 0, 3, 2, 4, 0, 4, 1, 1, 0, 2, 2, 3, 4, 4, 0, 3, 0, 3, 1, 3, 2, 3, 3, 4, 1, 0, 0, 4, 2, 1, 0, 3, 0, 1, 4, 3, 2, 1, 1, 3, 4, 1, 4, 3, 3, 3, 4, 0, 1, 2, 4, 0, 4, 0, 2, 1, 3, 3, 2, 4, 4, 4, 0, 4, 1, 2] pubkeycol1346 = [0, 3, 0, 0, 1, 0, 4, 4, 2, 2, 4, 4, 2, 4, 4, 4, 0, 2, 0, 1, 1, 4, 3, 3, 1, 3, 1, 0, 1, 2, 4, 1, 0, 0, 2, 1, 1, 2, 3, 0, 4, 4, 0, 4, 3, 1, 2, 1, 4, 3, 0, 0, 3, 3, 3, 0, 4, 4, 4, 1, 3, 3, 3, 3, 3, 3, 3, 4, 0, 4, 0, 2, 0, 4, 3, 1, 3, 1, 1, 2, 2, 1, 4, 3, 3, 3, 1, 2, 4, 2, 4, 4, 3, 0, 3, 1, 3, 2, 0, 1, 0, 4, 4, 0, 0, 0, 0, 2, 4, 1, 3, 0, 0, 4, 0, 0, 4, 0, 0, 2, 1, 1, 3, 4, 3, 4, 1, 1, 1, 2, 1, 4, 2, 3, 1, 0, 3, 3, 2, 3, 1, 4, 1, 4, 4, 1, 4, 3, 1, 2, 0, 4, 4, 3, 3, 0, 1, 3, 1, 1, 2, 3, 3, 4, 2, 4, 3, 0, 3, 4, 0, 2, 3, 2, 0, 2, 4, 4, 0, 2, 1, 3, 4, 1, 0, 3, 0, 1, 1, 4, 4, 2, 1, 2, 0, 3, 4, 1, 1, 4, 3, 2, 0, 1, 4, 1, 4, 1, 2, 4, 0, 3, 2, 2, 4, 1, 3, 4, 4, 3, 2, 3, 2, 0, 4, 4, 0, 2, 0, 4, 0, 4, 4, 3, 0, 1, 4, 3, 4, 4, 1, 3, 0, 3, 2, 1, 0, 3, 3, 2, 4, 1, 4, 4, 3, 4, 3, 2, 3, 2, 3, 4, 2, 0, 0, 4, 4, 1, 3, 1, 4, 0, 0, 1, 3, 4, 2, 2, 4, 4, 0, 4, 2, 1, 1, 2, 1, 2, 0, 4, 0, 3, 2, 0, 1, 2, 0, 0, 3, 0, 3, 2, 4, 1, 0, 0, 2, 0, 1, 0, 3, 0, 0, 1, 3, 3, 3, 1, 0, 1, 0, 1, 2, 1, 0, 4, 1, 0, 3, 1, 2, 3, 1, 0, 0, 3, 0, 0, 0, 1, 4, 4, 3, 3, 0, 0, 2, 2, 1, 0, 0, 2, 0, 4, 1, 4, 0, 2, 3, 3, 3, 0, 2, 4, 1, 0, 0, 2, 1, 3, 3, 3, 1, 4, 2, 4, 3, 1, 4, 1, 1, 1, 1, 0, 0, 3, 3, 3, 1, 2, 3, 0, 4, 3, 1, 1, 0, 0, 0, 4] pubkeycol1347 = [4, 3, 3, 0, 3, 4, 1, 3, 2, 3, 2, 1, 4, 4, 2, 4, 4, 0, 3, 4, 0, 1, 4, 1, 0, 0, 1, 1, 0, 3, 3, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 3, 4, 1, 4, 1, 3, 2, 4, 4, 0, 3, 4, 2, 4, 1, 0, 2, 4, 2, 3, 3, 2, 2, 0, 3, 0, 2, 1, 0, 3, 2, 1, 4, 2, 1, 4, 4, 3, 3, 1, 2, 2, 2, 1, 2, 0, 4, 0, 0, 1, 4, 1, 1, 3, 2, 0, 1, 1, 3, 2, 1, 1, 2, 3, 0, 4, 1, 0, 2, 0, 4, 1, 4, 4, 3, 2, 1, 4, 1, 3, 2, 1, 0, 4, 1, 4, 2, 4, 0, 3, 0, 2, 4, 3, 2, 4, 4, 0, 0, 2, 1, 0, 2, 0, 1, 2, 3, 1, 3, 0, 3, 2, 2, 3, 3, 0, 4, 2, 1, 4, 3, 4, 4, 3, 1, 1, 0, 2, 1, 3, 4, 1, 3, 3, 4, 3, 4, 3, 3, 0, 3, 1, 0, 0, 0, 0, 4, 3, 1, 1, 4, 0, 1, 0, 1, 3, 0, 4, 3, 3, 2, 4, 1, 3, 3, 0, 0, 4, 1, 3, 2, 0, 0, 2, 0, 1, 2, 1, 3, 4, 1, 2, 1, 0, 3, 3, 3, 1, 0, 0, 3, 3, 2, 3, 2, 2, 2, 0, 2, 0, 1, 0, 3, 3, 3, 1, 0, 4, 2, 4, 0, 4, 0, 0, 0, 3, 3, 0, 2, 3, 4, 0, 3, 1, 0, 2, 2, 3, 1, 1, 1, 3, 4, 0, 4, 0, 3, 2, 3, 3, 2, 0, 1, 1, 0, 3, 3, 0, 4, 3, 0, 1, 0, 3, 1, 0, 3, 4, 1, 0, 2, 1, 0, 3, 4, 4, 1, 4, 4, 0, 2, 2, 3, 2, 3, 4, 0, 1, 0, 1, 4, 1, 4, 3, 3, 3, 0, 4, 2, 3, 2, 0, 2, 2, 4, 4, 4, 2, 3, 1, 1, 4, 3, 3, 2, 4, 2, 0, 0, 4, 1, 0, 2, 3, 3, 2, 0, 4, 4, 4, 4, 4, 3, 3, 0, 2, 0, 3, 2, 2, 2, 2, 0, 4, 1, 0, 0, 1, 3, 3, 1, 1, 3, 3, 4, 2, 4, 3, 2, 1, 4, 2, 3, 0, 2, 0, 4] pubkeycol1348 = [3, 0, 3, 2, 2, 1, 2, 1, 0, 2, 1, 3, 1, 0, 1, 2, 0, 4, 1, 0, 3, 1, 4, 1, 3, 4, 3, 2, 3, 3, 2, 2, 4, 1, 0, 0, 4, 2, 1, 1, 1, 1, 1, 3, 1, 1, 4, 2, 3, 2, 2, 3, 1, 2, 2, 4, 1, 2, 4, 3, 0, 3, 0, 0, 0, 4, 3, 3, 4, 1, 4, 4, 0, 2, 0, 1, 0, 2, 2, 3, 3, 0, 1, 3, 1, 3, 3, 2, 3, 0, 3, 3, 3, 1, 1, 4, 1, 0, 0, 4, 4, 4, 4, 0, 0, 1, 1, 1, 2, 3, 2, 0, 2, 3, 0, 3, 1, 2, 1, 1, 4, 1, 2, 0, 2, 1, 3, 0, 0, 2, 3, 0, 1, 4, 0, 2, 0, 4, 0, 4, 1, 2, 3, 3, 4, 1, 1, 1, 0, 4, 1, 2, 3, 3, 3, 2, 0, 1, 4, 0, 3, 3, 4, 0, 0, 1, 2, 0, 4, 2, 4, 3, 2, 1, 2, 1, 2, 4, 4, 2, 3, 0, 3, 1, 0, 4, 1, 3, 1, 3, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 4, 1, 2, 0, 4, 3, 1, 0, 4, 3, 0, 0, 4, 2, 0, 2, 4, 2, 3, 2, 1, 3, 2, 4, 0, 3, 2, 0, 4, 4, 3, 4, 4, 3, 0, 3, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 3, 4, 0, 3, 0, 3, 3, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 4, 2, 1, 2, 2, 4, 3, 3, 2, 1, 0, 4, 1, 2, 4, 1, 0, 3, 0, 3, 3, 2, 1, 1, 4, 2, 4, 2, 2, 1, 4, 2, 1, 3, 2, 1, 4, 1, 4, 2, 3, 2, 2, 2, 2, 4, 2, 4, 0, 2, 0, 4, 4, 2, 0, 1, 4, 4, 3, 2, 2, 1, 3, 0, 1, 4, 1, 0, 1, 4, 1, 2, 1, 0, 3, 3, 1, 0, 2, 3, 4, 0, 4, 3, 1, 1, 2, 0, 0, 3, 3, 1, 1, 3, 0, 1, 1, 4, 3, 2, 3, 1, 3, 1, 0, 3, 4, 2, 0, 1, 1, 3, 1, 4, 0, 2, 4, 0, 4, 2, 2, 0, 3, 2, 1, 0, 1, 2, 3, 1, 3, 0, 1, 0, 0] pubkeycol1349 = [3, 2, 0, 3, 0, 3, 1, 0, 0, 2, 0, 0, 1, 3, 4, 2, 1, 0, 0, 3, 1, 0, 0, 0, 3, 2, 2, 0, 4, 1, 1, 4, 4, 2, 4, 2, 0, 1, 2, 3, 3, 4, 1, 3, 0, 1, 4, 1, 1, 3, 1, 0, 4, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 2, 0, 2, 0, 3, 2, 4, 2, 4, 2, 0, 1, 4, 3, 1, 1, 2, 2, 1, 1, 4, 4, 2, 1, 2, 4, 4, 1, 4, 1, 3, 1, 3, 0, 2, 0, 1, 3, 0, 4, 1, 0, 3, 1, 1, 1, 3, 3, 3, 1, 4, 3, 1, 4, 2, 3, 4, 1, 0, 4, 2, 4, 0, 3, 0, 2, 1, 1, 4, 3, 1, 3, 2, 4, 2, 2, 0, 1, 1, 3, 1, 0, 3, 0, 1, 4, 2, 1, 0, 2, 1, 3, 2, 1, 1, 4, 0, 1, 4, 2, 2, 0, 0, 2, 2, 0, 4, 1, 4, 4, 0, 4, 4, 3, 1, 2, 4, 2, 3, 1, 4, 3, 1, 2, 2, 4, 4, 2, 4, 1, 2, 0, 0, 2, 3, 4, 1, 0, 4, 1, 4, 2, 0, 1, 4, 4, 3, 1, 0, 1, 0, 4, 1, 4, 1, 2, 0, 3, 4, 4, 2, 4, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 3, 1, 1, 4, 4, 2, 1, 0, 2, 3, 0, 0, 2, 2, 1, 3, 3, 3, 3, 4, 4, 1, 0, 0, 1, 2, 4, 4, 1, 0, 1, 4, 2, 4, 3, 1, 1, 2, 0, 2, 2, 3, 1, 3, 1, 4, 2, 4, 2, 2, 0, 4, 3, 0, 0, 2, 1, 4, 2, 1, 4, 1, 4, 3, 0, 0, 0, 0, 4, 2, 1, 0, 2, 1, 1, 3, 0, 3, 4, 4, 2, 3, 1, 0, 2, 0, 3, 1, 3, 0, 1, 3, 3, 3, 3, 4, 2, 2, 0, 4, 4, 2, 2, 2, 1, 3, 2, 1, 3, 1, 4, 4, 3, 0, 0, 3, 4, 2, 1, 4, 2, 4, 3, 4, 3, 1, 1, 3, 1, 4, 4, 4, 4, 3, 1, 1, 1, 1, 4, 1, 1, 0, 3, 0, 3, 0, 3, 3, 2, 1, 3, 1, 3, 4, 3, 1, 0, 0, 4, 4, 4, 1, 2, 4] pubkeycol1350 = [0, 1, 2, 3, 1, 1, 0, 3, 1, 1, 0, 2, 3, 2, 2, 3, 0, 0, 2, 3, 1, 0, 3, 4, 0, 2, 3, 4, 2, 2, 3, 0, 2, 4, 4, 2, 3, 3, 3, 1, 0, 0, 2, 1, 3, 3, 0, 0, 3, 4, 4, 0, 3, 3, 0, 1, 3, 1, 1, 0, 3, 1, 1, 2, 1, 2, 4, 1, 2, 1, 1, 3, 1, 0, 3, 4, 0, 0, 0, 2, 3, 3, 0, 1, 0, 3, 2, 4, 2, 2, 4, 4, 0, 4, 2, 3, 3, 4, 0, 1, 4, 3, 2, 1, 3, 1, 0, 0, 2, 0, 0, 0, 3, 4, 2, 3, 0, 1, 2, 0, 1, 1, 4, 2, 4, 4, 2, 3, 1, 3, 1, 4, 1, 1, 0, 4, 3, 1, 0, 2, 1, 0, 2, 3, 1, 1, 1, 3, 2, 2, 0, 1, 1, 3, 1, 4, 1, 1, 0, 1, 4, 3, 3, 1, 3, 1, 2, 4, 1, 3, 0, 2, 0, 0, 2, 4, 1, 2, 1, 0, 1, 4, 3, 2, 4, 4, 0, 2, 3, 1, 4, 4, 0, 0, 3, 2, 1, 2, 4, 0, 4, 1, 1, 4, 2, 2, 0, 2, 2, 2, 3, 0, 0, 1, 1, 3, 1, 2, 4, 4, 0, 0, 4, 4, 3, 1, 0, 0, 0, 1, 1, 3, 0, 0, 3, 3, 3, 0, 3, 3, 2, 4, 4, 3, 2, 0, 2, 3, 2, 0, 3, 4, 0, 1, 4, 0, 2, 0, 2, 3, 2, 4, 3, 4, 0, 2, 0, 4, 1, 4, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 3, 0, 0, 1, 4, 4, 3, 0, 3, 4, 2, 4, 4, 0, 0, 2, 4, 3, 2, 0, 3, 3, 0, 2, 3, 3, 0, 3, 2, 1, 3, 1, 4, 1, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 4, 2, 4, 0, 0, 1, 2, 4, 1, 1, 3, 2, 0, 0, 0, 2, 4, 0, 2, 0, 1, 4, 2, 3, 3, 4, 0, 2, 3, 1, 1, 0, 2, 1, 0, 4, 0, 3, 2, 4, 2, 3, 3, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 4, 2, 4, 3, 2, 4, 0, 1, 1, 0, 2, 4, 2, 0, 0, 4, 3, 1, 0, 0, 2, 3, 4] pubkeycol1351 = [4, 0, 1, 2, 2, 1, 1, 1, 4, 0, 1, 4, 4, 4, 2, 3, 4, 3, 0, 3, 0, 3, 2, 3, 1, 0, 0, 3, 4, 3, 2, 4, 3, 0, 1, 4, 1, 2, 1, 0, 2, 2, 4, 1, 2, 4, 2, 0, 2, 1, 3, 0, 3, 0, 0, 2, 4, 4, 3, 4, 1, 4, 0, 0, 2, 3, 3, 2, 0, 1, 0, 1, 0, 1, 3, 4, 2, 4, 1, 4, 1, 0, 0, 2, 2, 3, 0, 0, 4, 3, 1, 3, 3, 0, 3, 0, 0, 4, 2, 4, 3, 3, 3, 4, 0, 0, 3, 0, 2, 3, 1, 3, 2, 4, 0, 0, 1, 0, 3, 0, 2, 2, 2, 0, 2, 1, 3, 0, 2, 1, 1, 1, 3, 0, 4, 0, 2, 4, 4, 2, 4, 1, 1, 1, 4, 0, 1, 4, 2, 2, 1, 4, 2, 0, 1, 0, 2, 1, 2, 1, 2, 4, 4, 3, 4, 1, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 4, 0, 0, 2, 1, 4, 0, 3, 1, 1, 3, 4, 3, 1, 0, 3, 4, 1, 4, 2, 0, 0, 1, 1, 3, 4, 1, 0, 3, 4, 2, 2, 4, 1, 3, 2, 4, 4, 3, 4, 2, 4, 1, 4, 3, 0, 3, 1, 1, 0, 0, 1, 1, 4, 2, 4, 1, 1, 2, 1, 4, 1, 0, 2, 3, 4, 3, 3, 2, 4, 4, 0, 0, 4, 4, 3, 2, 3, 1, 4, 0, 2, 3, 3, 1, 1, 0, 4, 2, 1, 1, 0, 2, 3, 2, 1, 2, 2, 3, 1, 3, 0, 2, 3, 3, 2, 2, 0, 2, 3, 1, 4, 1, 4, 4, 2, 3, 2, 2, 0, 1, 0, 4, 2, 0, 1, 3, 4, 2, 0, 1, 3, 2, 4, 1, 4, 0, 4, 1, 4, 4, 0, 0, 1, 1, 0, 4, 1, 1, 3, 4, 2, 4, 3, 1, 3, 2, 4, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 3, 1, 0, 1, 1, 2, 3, 4, 1, 0, 4, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 3, 1, 4, 1, 1, 4, 4, 3, 0, 0, 3, 4, 0, 4, 3, 3, 1, 3, 4, 2, 1, 0, 0, 2, 1] pubkeycol1352 = [4, 4, 1, 0, 2, 3, 0, 2, 0, 2, 4, 1, 4, 0, 4, 4, 3, 4, 3, 0, 0, 2, 3, 1, 4, 0, 1, 0, 1, 1, 3, 3, 2, 2, 0, 4, 4, 1, 2, 4, 4, 4, 4, 1, 3, 4, 0, 1, 4, 2, 4, 3, 4, 3, 0, 4, 2, 0, 2, 1, 1, 4, 3, 1, 2, 2, 1, 4, 2, 1, 3, 0, 4, 0, 2, 4, 4, 3, 2, 3, 0, 4, 4, 1, 0, 2, 1, 1, 4, 4, 1, 2, 0, 0, 4, 0, 0, 4, 3, 1, 4, 1, 3, 3, 2, 0, 1, 3, 4, 1, 0, 2, 2, 2, 0, 1, 2, 3, 3, 4, 4, 2, 2, 0, 3, 1, 1, 0, 1, 0, 0, 0, 3, 4, 3, 1, 3, 0, 0, 1, 2, 1, 2, 4, 1, 0, 3, 2, 3, 0, 4, 0, 0, 3, 3, 2, 0, 4, 3, 1, 3, 2, 3, 0, 1, 1, 4, 1, 4, 1, 2, 1, 2, 3, 0, 1, 3, 1, 1, 2, 3, 2, 3, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 3, 3, 0, 1, 1, 2, 1, 3, 3, 2, 2, 0, 2, 1, 1, 0, 1, 3, 4, 0, 4, 0, 4, 3, 0, 0, 4, 2, 3, 0, 2, 0, 4, 2, 0, 3, 2, 4, 4, 4, 2, 4, 1, 3, 4, 2, 4, 0, 0, 0, 2, 2, 3, 4, 2, 2, 2, 0, 4, 1, 0, 4, 3, 3, 2, 2, 1, 1, 4, 4, 1, 0, 3, 3, 2, 2, 0, 1, 2, 4, 1, 1, 3, 0, 2, 2, 4, 0, 3, 0, 0, 1, 0, 2, 0, 0, 1, 3, 3, 4, 2, 2, 3, 1, 0, 3, 3, 3, 1, 4, 0, 4, 2, 4, 4, 2, 4, 2, 1, 4, 1, 1, 4, 3, 0, 1, 4, 0, 0, 3, 3, 1, 0, 4, 1, 4, 1, 2, 2, 1, 2, 0, 1, 0, 3, 3, 3, 4, 2, 1, 4, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 4, 1, 3, 0, 0, 1, 3, 2, 0, 2, 1, 2, 4, 2, 1, 2, 2, 0, 3, 2, 1, 0, 2, 1, 3, 4, 2, 1, 1, 4, 1, 1, 4, 1, 2, 0, 4, 1, 3, 0] pubkeycol1353 = [2, 0, 4, 4, 4, 3, 3, 4, 1, 3, 2, 1, 1, 1, 2, 2, 1, 3, 4, 2, 0, 2, 0, 0, 1, 4, 4, 2, 1, 4, 4, 2, 0, 2, 4, 3, 3, 1, 4, 4, 1, 2, 2, 2, 3, 3, 2, 1, 3, 4, 1, 0, 2, 4, 4, 4, 2, 2, 3, 2, 1, 0, 0, 0, 4, 0, 1, 3, 3, 2, 3, 3, 0, 2, 2, 3, 3, 2, 0, 1, 3, 1, 4, 2, 1, 4, 1, 4, 1, 4, 4, 4, 2, 2, 2, 4, 0, 1, 1, 4, 3, 4, 3, 2, 2, 2, 1, 0, 3, 0, 0, 3, 3, 4, 1, 4, 0, 1, 4, 0, 4, 2, 4, 2, 1, 4, 4, 0, 2, 3, 1, 4, 4, 4, 3, 2, 1, 2, 0, 4, 1, 4, 1, 0, 2, 2, 3, 0, 1, 1, 1, 0, 1, 3, 4, 1, 2, 3, 3, 3, 1, 3, 4, 3, 3, 2, 3, 2, 4, 2, 3, 2, 0, 1, 0, 0, 4, 1, 1, 3, 3, 1, 1, 0, 4, 1, 4, 1, 2, 4, 1, 1, 0, 4, 1, 2, 0, 1, 3, 2, 3, 3, 1, 2, 4, 4, 0, 4, 3, 2, 1, 4, 2, 4, 2, 0, 2, 2, 4, 3, 2, 3, 0, 2, 3, 3, 2, 1, 3, 2, 4, 0, 3, 2, 2, 1, 3, 1, 4, 1, 0, 0, 3, 4, 0, 3, 4, 1, 4, 3, 2, 0, 3, 2, 3, 4, 3, 4, 3, 3, 4, 0, 2, 0, 3, 3, 0, 1, 2, 1, 2, 4, 3, 0, 3, 4, 0, 3, 3, 0, 0, 1, 4, 4, 4, 0, 4, 1, 2, 3, 1, 3, 3, 3, 4, 1, 4, 4, 3, 3, 1, 4, 1, 0, 1, 3, 0, 3, 1, 2, 0, 1, 1, 0, 4, 1, 1, 4, 1, 2, 3, 2, 4, 2, 1, 4, 1, 1, 0, 0, 4, 3, 2, 4, 1, 1, 0, 2, 2, 3, 2, 0, 3, 4, 2, 3, 3, 4, 1, 0, 1, 4, 2, 4, 0, 1, 0, 0, 3, 0, 3, 3, 2, 2, 3, 0, 3, 4, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 3, 0, 2, 1, 2, 2, 1, 1, 4, 3, 1, 0, 1, 2, 1, 1, 1, 4, 3] pubkeycol1354 = [0, 1, 3, 0, 4, 0, 3, 3, 1, 2, 4, 4, 2, 0, 0, 4, 2, 0, 4, 3, 3, 0, 2, 4, 1, 4, 2, 1, 0, 4, 4, 3, 3, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 3, 1, 2, 1, 0, 3, 0, 1, 3, 1, 2, 4, 1, 3, 2, 3, 2, 3, 3, 1, 3, 1, 0, 0, 3, 2, 1, 1, 0, 1, 0, 3, 4, 3, 4, 1, 4, 1, 1, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 4, 4, 2, 2, 4, 1, 2, 4, 1, 4, 3, 4, 0, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 4, 1, 1, 2, 1, 1, 0, 1, 3, 3, 4, 4, 1, 3, 2, 0, 4, 1, 3, 0, 0, 1, 4, 0, 0, 0, 4, 0, 4, 2, 2, 3, 3, 2, 1, 4, 4, 1, 0, 1, 1, 3, 3, 1, 0, 3, 1, 2, 0, 0, 4, 0, 0, 1, 0, 1, 4, 2, 3, 2, 4, 0, 2, 0, 2, 2, 2, 3, 2, 2, 2, 3, 4, 0, 2, 2, 2, 2, 3, 2, 0, 1, 4, 0, 2, 3, 3, 4, 3, 3, 1, 2, 3, 0, 1, 4, 2, 0, 2, 1, 4, 1, 3, 0, 0, 2, 0, 0, 2, 3, 3, 4, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 4, 1, 1, 2, 4, 1, 4, 2, 2, 0, 2, 3, 4, 1, 1, 3, 1, 0, 4, 3, 3, 2, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 2, 3, 2, 4, 0, 4, 3, 1, 2, 1, 2, 2, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 3, 4, 2, 3, 4, 2, 4, 4, 4, 4, 4, 3, 1, 1, 1, 0, 0, 3, 0, 4, 1, 1, 2, 4, 0, 3, 1, 4, 0, 2, 0, 3, 2, 1, 1, 2, 4, 3, 3, 0, 4, 1, 3, 1, 3, 0, 2, 1, 2, 4, 4, 1, 0, 4, 1, 0, 2, 3, 0, 3, 4, 0, 3, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 3, 0, 0, 4, 1, 0, 0, 0, 2, 4, 4, 2, 3, 4, 2, 1, 0, 0, 4, 2, 2, 2, 1, 4] pubkeycol1355 = [1, 1, 2, 3, 1, 4, 2, 1, 0, 0, 4, 3, 3, 2, 3, 0, 2, 1, 2, 0, 4, 1, 2, 3, 2, 3, 3, 2, 2, 4, 2, 2, 4, 1, 3, 4, 3, 0, 1, 3, 2, 1, 1, 0, 0, 3, 1, 0, 1, 0, 2, 3, 2, 3, 3, 0, 3, 1, 0, 3, 1, 0, 0, 4, 0, 0, 4, 1, 0, 1, 4, 3, 1, 3, 0, 0, 3, 2, 1, 3, 0, 3, 2, 1, 1, 0, 4, 2, 3, 0, 1, 1, 2, 1, 4, 4, 4, 4, 0, 2, 3, 1, 0, 0, 0, 2, 4, 2, 1, 3, 0, 1, 3, 0, 2, 4, 4, 1, 3, 3, 4, 2, 3, 0, 2, 1, 1, 4, 3, 4, 2, 3, 0, 0, 1, 3, 2, 0, 4, 2, 4, 3, 0, 2, 3, 1, 0, 4, 0, 2, 4, 4, 2, 3, 3, 4, 0, 4, 0, 3, 4, 3, 2, 3, 2, 3, 0, 4, 0, 2, 4, 3, 2, 0, 4, 1, 0, 0, 4, 3, 3, 1, 2, 2, 3, 3, 4, 4, 1, 2, 4, 4, 4, 0, 2, 0, 2, 1, 4, 2, 2, 3, 1, 4, 4, 3, 1, 4, 3, 1, 0, 1, 2, 1, 0, 4, 2, 3, 0, 0, 3, 2, 0, 4, 4, 1, 3, 0, 0, 3, 1, 0, 3, 2, 2, 3, 1, 0, 4, 0, 2, 3, 3, 1, 3, 0, 4, 1, 2, 1, 0, 2, 0, 1, 3, 2, 3, 1, 2, 0, 2, 0, 1, 3, 3, 0, 1, 1, 0, 4, 1, 3, 4, 1, 0, 3, 1, 0, 2, 3, 3, 2, 4, 2, 1, 3, 2, 4, 2, 2, 4, 1, 3, 2, 4, 1, 2, 0, 3, 3, 1, 1, 2, 4, 4, 3, 0, 4, 2, 2, 0, 3, 4, 4, 2, 4, 1, 3, 1, 3, 4, 0, 4, 2, 3, 0, 3, 3, 2, 3, 1, 0, 2, 4, 3, 2, 4, 0, 4, 4, 0, 0, 0, 2, 2, 4, 4, 3, 2, 3, 1, 4, 2, 0, 2, 0, 1, 3, 4, 4, 2, 1, 4, 4, 1, 2, 1, 4, 2, 4, 3, 1, 1, 1, 4, 0, 4, 1, 1, 4, 1, 1, 2, 3, 4, 3, 0, 0, 1, 4, 4, 4, 3, 4, 3, 2, 3, 3, 1, 3] pubkeycol1356 = [4, 1, 3, 0, 2, 3, 0, 1, 0, 0, 2, 2, 4, 4, 4, 1, 2, 0, 0, 1, 3, 2, 0, 1, 0, 2, 1, 3, 0, 4, 3, 0, 4, 2, 3, 4, 1, 0, 3, 1, 1, 4, 4, 2, 4, 4, 3, 2, 1, 0, 0, 2, 3, 4, 1, 0, 3, 0, 4, 0, 4, 4, 2, 2, 1, 3, 1, 3, 0, 0, 4, 0, 1, 0, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 1, 0, 2, 0, 1, 4, 3, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 4, 1, 0, 2, 2, 1, 0, 1, 0, 3, 1, 4, 3, 1, 0, 1, 3, 1, 2, 4, 1, 3, 0, 4, 1, 1, 4, 3, 3, 0, 1, 0, 1, 2, 4, 0, 0, 1, 0, 1, 3, 1, 4, 0, 3, 3, 3, 0, 1, 3, 2, 0, 0, 0, 1, 4, 4, 1, 3, 2, 4, 4, 4, 2, 1, 0, 0, 4, 4, 1, 2, 2, 3, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 4, 2, 4, 4, 2, 3, 3, 4, 0, 1, 1, 3, 3, 4, 4, 1, 4, 0, 0, 3, 4, 0, 0, 1, 0, 3, 1, 3, 2, 3, 0, 0, 3, 0, 1, 1, 0, 3, 3, 4, 2, 2, 4, 0, 3, 3, 4, 0, 3, 4, 0, 1, 3, 3, 2, 2, 1, 1, 0, 3, 1, 4, 2, 3, 4, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 3, 4, 1, 0, 4, 1, 4, 0, 2, 3, 1, 4, 2, 0, 4, 4, 4, 2, 1, 2, 4, 3, 2, 2, 3, 0, 2, 3, 1, 0, 2, 0, 0, 1, 1, 2, 4, 2, 0, 1, 3, 2, 1, 3, 1, 3, 3, 1, 4, 1, 4, 0, 2, 2, 3, 1, 1, 3, 4, 4, 0, 4, 4, 0, 4, 1, 1, 4, 2, 2, 4, 0, 3, 2, 2, 1, 3, 4, 0, 3, 2, 0, 4, 1, 3, 4, 0, 0, 0, 2, 4, 4, 0, 3, 0, 2, 2, 0, 3, 4, 3, 0, 1, 2, 2, 3, 0, 4, 2, 0, 3, 1, 0, 4, 3, 1, 3, 2, 3, 2, 3, 2, 3, 0, 4, 1, 1, 1, 0] pubkeycol1357 = [3, 2, 4, 1, 0, 1, 3, 2, 1, 0, 3, 3, 1, 3, 3, 1, 2, 2, 1, 4, 0, 3, 1, 3, 1, 0, 4, 1, 3, 1, 1, 2, 0, 1, 4, 1, 2, 0, 2, 2, 3, 3, 4, 2, 2, 3, 4, 4, 1, 3, 1, 1, 4, 2, 4, 4, 2, 4, 3, 2, 2, 4, 2, 1, 3, 1, 4, 4, 4, 0, 2, 4, 3, 2, 3, 1, 4, 4, 1, 1, 4, 3, 3, 2, 0, 1, 0, 4, 4, 4, 3, 4, 0, 0, 4, 2, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 2, 2, 2, 3, 1, 2, 4, 0, 4, 0, 3, 4, 0, 3, 0, 1, 3, 0, 0, 2, 1, 4, 0, 2, 1, 2, 4, 4, 3, 0, 1, 4, 0, 3, 3, 3, 4, 3, 0, 1, 0, 3, 1, 0, 4, 0, 0, 4, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 4, 1, 2, 4, 1, 3, 1, 4, 1, 1, 4, 1, 3, 4, 3, 3, 4, 4, 3, 1, 0, 1, 0, 1, 0, 3, 0, 2, 2, 4, 4, 1, 1, 3, 0, 0, 3, 0, 3, 0, 3, 3, 2, 1, 4, 1, 0, 3, 1, 2, 1, 2, 3, 4, 2, 1, 0, 3, 3, 4, 0, 2, 0, 0, 2, 1, 0, 2, 3, 3, 1, 4, 0, 0, 2, 4, 2, 4, 3, 0, 0, 3, 3, 0, 4, 3, 2, 3, 3, 0, 3, 3, 4, 0, 2, 2, 0, 2, 4, 1, 3, 0, 1, 2, 0, 2, 3, 0, 3, 0, 2, 4, 3, 0, 4, 1, 1, 3, 3, 2, 3, 2, 2, 0, 4, 2, 1, 1, 0, 3, 3, 1, 0, 2, 0, 1, 0, 4, 2, 0, 4, 0, 4, 4, 2, 0, 2, 1, 1, 4, 0, 3, 2, 3, 4, 3, 3, 3, 1, 2, 3, 4, 0, 0, 1, 1, 4, 1, 3, 0, 1, 0, 3, 3, 3, 0, 2, 0, 3, 4, 4, 3, 4, 2, 1, 3, 1, 4, 4, 4, 2, 2, 4, 3, 1, 2, 0, 3, 2, 1, 3, 1, 1, 4, 1, 3, 2, 2, 0, 0, 2, 0, 4, 1, 0, 1, 2, 3, 1, 0, 2, 4, 2, 3, 4, 2, 2, 0, 3, 2, 1, 3, 4, 4, 1] pubkeycol1358 = [2, 2, 3, 0, 1, 1, 0, 0, 0, 4, 4, 0, 3, 4, 0, 0, 1, 4, 1, 1, 0, 1, 1, 0, 0, 0, 1, 3, 4, 1, 0, 1, 3, 2, 2, 1, 0, 3, 1, 2, 2, 2, 3, 2, 0, 2, 4, 4, 1, 0, 4, 4, 1, 4, 0, 3, 4, 3, 4, 4, 2, 1, 3, 3, 3, 2, 0, 3, 1, 0, 0, 0, 4, 1, 0, 0, 3, 4, 0, 0, 4, 0, 3, 4, 2, 4, 0, 3, 2, 3, 0, 0, 1, 3, 2, 2, 4, 1, 3, 3, 1, 2, 0, 2, 0, 0, 3, 2, 0, 2, 1, 3, 1, 3, 0, 0, 0, 3, 2, 4, 3, 2, 4, 1, 3, 4, 0, 4, 3, 0, 1, 1, 1, 1, 3, 2, 0, 1, 3, 1, 2, 1, 3, 4, 1, 2, 0, 1, 0, 4, 4, 0, 2, 4, 1, 3, 4, 4, 0, 1, 0, 3, 4, 2, 1, 2, 3, 0, 4, 0, 0, 1, 4, 2, 4, 2, 0, 0, 1, 4, 3, 2, 0, 4, 3, 4, 0, 1, 3, 3, 4, 3, 2, 1, 1, 0, 4, 2, 1, 2, 4, 4, 1, 4, 0, 1, 3, 2, 2, 3, 4, 0, 4, 2, 0, 2, 2, 0, 1, 0, 2, 4, 2, 3, 2, 0, 1, 3, 1, 3, 2, 4, 3, 4, 3, 4, 0, 4, 1, 3, 1, 2, 1, 0, 4, 3, 3, 1, 2, 3, 4, 1, 1, 4, 2, 1, 0, 4, 3, 2, 1, 2, 4, 2, 4, 0, 2, 1, 4, 2, 2, 3, 2, 1, 4, 2, 3, 1, 0, 4, 2, 3, 3, 2, 1, 1, 0, 4, 4, 2, 3, 4, 1, 1, 2, 4, 3, 1, 1, 1, 1, 4, 1, 0, 1, 0, 0, 3, 0, 0, 1, 3, 3, 3, 4, 0, 4, 3, 1, 4, 3, 4, 4, 1, 1, 4, 4, 4, 3, 4, 0, 0, 0, 2, 3, 2, 4, 4, 1, 2, 2, 2, 4, 1, 2, 2, 1, 3, 1, 4, 1, 3, 0, 3, 4, 0, 0, 2, 0, 3, 4, 2, 2, 2, 3, 1, 3, 4, 3, 4, 0, 3, 2, 0, 3, 2, 4, 2, 0, 3, 3, 3, 1, 4, 0, 4, 2, 2, 2, 4, 0, 4, 1, 4, 4, 1, 4, 4, 0, 2] pubkeycol1359 = [1, 2, 3, 2, 1, 2, 1, 3, 2, 3, 0, 1, 1, 3, 1, 4, 1, 1, 4, 0, 1, 3, 4, 4, 0, 1, 1, 0, 4, 1, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 0, 0, 2, 2, 1, 0, 3, 3, 2, 2, 4, 4, 0, 0, 1, 4, 2, 3, 2, 3, 4, 4, 4, 2, 3, 4, 3, 0, 4, 3, 3, 1, 0, 2, 4, 3, 3, 2, 3, 3, 1, 4, 2, 2, 2, 3, 3, 4, 2, 0, 4, 4, 3, 3, 0, 3, 0, 2, 4, 1, 2, 0, 4, 0, 0, 3, 4, 4, 2, 1, 3, 4, 3, 4, 1, 1, 1, 2, 1, 4, 4, 1, 1, 3, 1, 2, 1, 4, 2, 1, 4, 4, 3, 2, 0, 0, 2, 2, 3, 3, 4, 2, 2, 2, 1, 4, 2, 1, 1, 1, 2, 1, 1, 3, 1, 3, 0, 0, 2, 0, 1, 1, 1, 1, 3, 1, 4, 3, 3, 1, 4, 3, 4, 3, 1, 2, 1, 2, 2, 2, 3, 2, 0, 3, 4, 2, 1, 1, 1, 3, 4, 0, 0, 4, 1, 1, 1, 4, 4, 3, 0, 4, 0, 1, 2, 1, 3, 2, 0, 0, 0, 0, 3, 2, 4, 4, 4, 4, 2, 2, 0, 1, 2, 2, 4, 3, 0, 1, 2, 4, 4, 3, 3, 2, 1, 4, 0, 1, 1, 1, 2, 4, 3, 4, 2, 3, 0, 0, 1, 0, 1, 1, 0, 4, 0, 4, 1, 3, 2, 3, 3, 3, 0, 0, 3, 4, 1, 3, 0, 1, 3, 3, 2, 1, 1, 4, 3, 4, 0, 3, 1, 4, 2, 1, 2, 2, 0, 3, 0, 3, 3, 2, 2, 0, 2, 0, 3, 1, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 4, 2, 3, 0, 3, 2, 4, 2, 2, 1, 4, 3, 0, 3, 1, 2, 1, 4, 0, 0, 2, 0, 1, 4, 0, 4, 2, 0, 2, 4, 0, 3, 2, 0, 0, 1, 3, 4, 4, 2, 2, 1, 2, 1, 1, 4, 0, 2, 0, 4, 2, 3, 1, 2, 0, 0, 3, 2, 4, 4, 4, 2, 0, 1, 4, 4, 4, 1, 0, 0, 1, 4, 0, 2, 3, 3, 2, 2, 1, 3, 3, 3, 3, 3, 4, 1, 3, 3, 3, 2, 2, 0] pubkeycol1360 = [1, 4, 0, 2, 3, 4, 1, 1, 4, 1, 1, 4, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 3, 0, 4, 4, 2, 2, 3, 2, 3, 1, 2, 1, 4, 0, 2, 1, 4, 1, 4, 1, 2, 0, 2, 3, 3, 2, 4, 0, 3, 2, 1, 4, 3, 0, 2, 2, 4, 1, 2, 0, 3, 3, 2, 0, 4, 4, 3, 3, 2, 2, 2, 1, 0, 2, 1, 1, 0, 3, 2, 1, 3, 1, 3, 4, 4, 2, 1, 0, 4, 0, 2, 4, 2, 2, 1, 3, 3, 3, 0, 0, 2, 2, 1, 0, 0, 2, 3, 4, 4, 2, 4, 1, 4, 3, 1, 2, 3, 4, 0, 3, 0, 3, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 4, 0, 1, 2, 1, 1, 3, 0, 3, 4, 1, 1, 3, 3, 2, 4, 2, 2, 1, 0, 2, 2, 4, 0, 1, 2, 2, 2, 3, 0, 2, 3, 1, 2, 3, 0, 4, 3, 0, 4, 2, 1, 3, 2, 3, 3, 2, 0, 0, 3, 4, 0, 4, 4, 0, 0, 3, 3, 0, 2, 1, 3, 4, 3, 2, 3, 2, 4, 4, 1, 0, 2, 2, 1, 3, 4, 3, 4, 4, 3, 4, 2, 4, 4, 2, 3, 1, 4, 4, 3, 3, 3, 2, 1, 0, 4, 4, 2, 4, 3, 3, 3, 2, 2, 4, 3, 0, 2, 3, 4, 1, 2, 1, 0, 2, 4, 1, 4, 0, 1, 3, 3, 1, 0, 1, 3, 2, 0, 4, 2, 4, 0, 0, 3, 1, 3, 0, 1, 3, 2, 2, 3, 4, 3, 4, 2, 4, 4, 0, 1, 1, 0, 4, 1, 2, 4, 4, 1, 4, 0, 2, 3, 2, 0, 1, 4, 3, 1, 4, 3, 3, 0, 1, 1, 0, 3, 4, 1, 3, 1, 4, 2, 0, 3, 4, 2, 1, 0, 2, 0, 3, 4, 1, 1, 0, 4, 0, 0, 1, 2, 0, 1, 4, 4, 4, 2, 4, 4, 0, 3, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 3, 2, 2, 2, 4, 4, 0, 2, 0, 0, 3, 4, 0, 2, 0, 2, 0, 4, 2, 3, 4, 1, 3, 2, 3, 2, 2, 2, 1, 2, 0, 4, 4, 2, 4, 0, 4, 4, 2, 2, 1, 1, 1] pubkeycol1361 = [4, 2, 3, 1, 2, 3, 4, 2, 4, 4, 0, 1, 1, 2, 0, 3, 4, 2, 0, 0, 1, 1, 1, 1, 4, 3, 1, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 2, 2, 4, 1, 2, 1, 4, 4, 2, 1, 2, 2, 3, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 3, 2, 1, 2, 3, 3, 3, 4, 1, 4, 1, 2, 2, 0, 3, 4, 2, 3, 2, 2, 0, 3, 2, 3, 3, 1, 2, 0, 3, 2, 4, 1, 0, 3, 4, 0, 1, 1, 4, 0, 2, 0, 4, 0, 4, 1, 1, 4, 1, 4, 1, 2, 3, 1, 1, 4, 0, 0, 0, 3, 0, 3, 2, 2, 0, 3, 4, 3, 1, 3, 3, 2, 0, 4, 2, 4, 4, 3, 2, 2, 4, 3, 1, 1, 0, 3, 2, 1, 0, 2, 1, 0, 4, 0, 4, 1, 2, 1, 1, 0, 2, 3, 1, 3, 0, 3, 1, 4, 1, 1, 0, 3, 4, 0, 0, 3, 1, 0, 2, 3, 1, 4, 4, 0, 0, 2, 1, 4, 2, 0, 3, 4, 3, 1, 3, 1, 3, 2, 1, 3, 3, 2, 2, 4, 2, 0, 2, 3, 3, 0, 3, 2, 4, 2, 2, 3, 3, 3, 0, 1, 3, 0, 3, 0, 4, 4, 2, 2, 1, 4, 4, 1, 1, 3, 2, 2, 3, 3, 0, 4, 4, 2, 1, 2, 1, 4, 1, 2, 1, 0, 1, 1, 0, 1, 1, 4, 0, 2, 3, 3, 4, 0, 1, 0, 4, 2, 0, 2, 4, 0, 1, 1, 4, 2, 0, 4, 3, 2, 0, 2, 1, 1, 3, 3, 2, 4, 2, 0, 4, 4, 2, 3, 3, 1, 4, 4, 3, 3, 1, 4, 0, 4, 2, 2, 3, 1, 2, 0, 0, 4, 0, 0, 0, 0, 3, 1, 1, 2, 1, 4, 3, 4, 3, 0, 3, 0, 4, 4, 2, 2, 2, 2, 0, 3, 2, 0, 4, 2, 1, 2, 4, 4, 0, 2, 0, 3, 1, 1, 2, 4, 0, 3, 3, 3, 2, 0, 1, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 0, 2, 3, 3, 1, 2, 2, 1, 3, 1, 4, 4, 2, 2, 0, 4, 4, 1, 1, 0, 0, 2, 4, 1, 3, 0, 2, 3, 0, 2, 2, 0] pubkeycol1362 = [4, 0, 2, 2, 4, 2, 2, 1, 0, 0, 4, 3, 4, 0, 1, 1, 1, 3, 4, 0, 4, 0, 3, 0, 2, 2, 1, 3, 1, 2, 2, 4, 3, 2, 0, 1, 0, 3, 0, 1, 0, 0, 0, 0, 0, 2, 4, 1, 4, 4, 2, 0, 2, 1, 3, 0, 2, 4, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 4, 4, 4, 4, 1, 2, 2, 4, 4, 1, 3, 3, 2, 0, 3, 3, 2, 4, 0, 4, 0, 0, 3, 4, 2, 2, 1, 3, 3, 1, 0, 0, 1, 4, 3, 3, 4, 2, 3, 4, 3, 4, 1, 0, 1, 3, 0, 1, 1, 0, 4, 0, 2, 3, 4, 1, 2, 0, 2, 2, 3, 3, 2, 3, 4, 1, 0, 3, 1, 2, 2, 3, 2, 1, 2, 4, 4, 0, 2, 1, 0, 2, 3, 2, 2, 4, 4, 3, 0, 1, 1, 2, 3, 3, 4, 2, 1, 2, 4, 3, 1, 4, 3, 3, 4, 1, 1, 1, 4, 4, 2, 2, 3, 0, 1, 1, 2, 1, 0, 2, 0, 3, 4, 1, 4, 2, 3, 0, 4, 0, 3, 1, 0, 3, 0, 4, 0, 3, 3, 2, 2, 4, 1, 3, 1, 4, 1, 1, 1, 3, 1, 2, 3, 4, 1, 0, 4, 1, 3, 0, 3, 0, 2, 1, 0, 4, 0, 4, 3, 2, 3, 0, 0, 2, 0, 1, 2, 2, 3, 3, 4, 0, 0, 3, 1, 0, 1, 2, 0, 3, 0, 3, 1, 3, 2, 0, 3, 4, 3, 0, 3, 4, 0, 0, 1, 2, 1, 0, 4, 4, 3, 3, 3, 1, 3, 4, 0, 4, 1, 4, 3, 2, 4, 2, 0, 0, 3, 1, 3, 3, 1, 0, 0, 1, 0, 4, 3, 3, 0, 3, 1, 3, 3, 4, 0, 0, 0, 4, 3, 4, 3, 3, 0, 1, 3, 2, 0, 1, 1, 3, 3, 4, 3, 0, 0, 0, 2, 1, 3, 4, 3, 2, 4, 3, 2, 1, 3, 4, 1, 3, 1, 0, 1, 1, 3, 1, 1, 3, 2, 4, 1, 3, 0, 4, 4, 2, 1, 3, 1, 3, 3, 3, 3, 2, 4, 2, 2, 0, 2, 0, 4, 0, 4, 4, 3, 4, 1, 1, 2, 4, 4, 4, 0, 4, 2, 2, 2, 0, 0, 3] pubkeycol1363 = [4, 1, 1, 0, 1, 2, 1, 4, 0, 3, 0, 1, 2, 0, 1, 3, 1, 0, 4, 2, 2, 1, 2, 0, 3, 3, 0, 1, 4, 2, 3, 1, 1, 1, 4, 1, 3, 3, 4, 4, 1, 3, 1, 4, 1, 3, 4, 1, 1, 0, 1, 4, 2, 3, 1, 2, 0, 2, 1, 2, 2, 1, 2, 3, 1, 1, 1, 4, 2, 3, 1, 1, 4, 2, 0, 2, 1, 2, 0, 4, 3, 0, 4, 2, 1, 3, 3, 4, 1, 2, 0, 3, 2, 4, 0, 1, 3, 3, 1, 3, 3, 1, 1, 1, 0, 3, 3, 3, 3, 1, 0, 4, 1, 0, 1, 3, 1, 3, 1, 4, 3, 3, 1, 0, 1, 3, 0, 4, 2, 0, 4, 0, 4, 4, 2, 1, 4, 1, 0, 0, 0, 4, 2, 3, 4, 4, 2, 3, 1, 3, 1, 4, 1, 1, 1, 2, 3, 2, 2, 1, 3, 1, 3, 3, 3, 3, 1, 4, 1, 4, 2, 2, 4, 3, 4, 3, 0, 2, 3, 4, 4, 0, 3, 3, 2, 0, 2, 3, 3, 0, 3, 1, 0, 3, 0, 0, 4, 1, 2, 4, 2, 0, 1, 1, 4, 1, 4, 0, 2, 2, 1, 2, 2, 4, 1, 2, 0, 4, 4, 2, 2, 0, 4, 3, 1, 2, 0, 1, 1, 2, 4, 4, 3, 0, 4, 0, 2, 0, 1, 2, 1, 2, 2, 3, 1, 3, 0, 2, 1, 4, 2, 4, 4, 1, 0, 3, 0, 3, 4, 3, 3, 0, 0, 4, 3, 0, 4, 0, 2, 2, 2, 4, 3, 4, 3, 2, 0, 0, 2, 1, 4, 2, 4, 3, 0, 2, 3, 2, 4, 0, 0, 1, 2, 0, 0, 0, 3, 4, 1, 2, 2, 1, 2, 4, 2, 3, 3, 1, 2, 1, 3, 0, 1, 2, 1, 1, 2, 0, 1, 0, 3, 4, 3, 2, 0, 2, 3, 3, 0, 4, 2, 2, 4, 1, 1, 1, 4, 1, 2, 1, 4, 1, 2, 0, 0, 0, 3, 2, 2, 4, 2, 1, 3, 0, 4, 3, 1, 4, 0, 3, 2, 4, 2, 0, 2, 2, 4, 1, 1, 4, 1, 3, 1, 2, 2, 0, 0, 3, 3, 2, 0, 0, 0, 4, 2, 3, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 3, 2, 2, 4] pubkeycol1364 = [3, 4, 3, 4, 3, 4, 0, 3, 3, 4, 4, 1, 1, 4, 1, 4, 0, 1, 1, 4, 2, 1, 2, 0, 4, 0, 3, 0, 2, 2, 4, 3, 4, 4, 2, 3, 1, 4, 1, 2, 0, 0, 3, 4, 1, 4, 2, 2, 3, 1, 0, 2, 0, 4, 1, 2, 2, 3, 2, 4, 1, 0, 2, 0, 1, 2, 1, 3, 3, 2, 3, 3, 2, 0, 0, 2, 0, 3, 4, 2, 3, 3, 2, 1, 4, 1, 4, 0, 0, 1, 1, 1, 0, 1, 1, 4, 3, 3, 1, 4, 3, 4, 4, 3, 2, 1, 3, 4, 2, 2, 4, 1, 0, 3, 4, 2, 3, 0, 3, 0, 0, 1, 3, 1, 3, 1, 4, 2, 0, 2, 2, 2, 2, 3, 2, 4, 4, 1, 1, 4, 4, 2, 3, 0, 4, 4, 4, 1, 3, 4, 1, 0, 4, 0, 1, 4, 1, 4, 2, 0, 0, 2, 2, 4, 0, 3, 1, 0, 0, 0, 0, 3, 2, 1, 4, 3, 3, 1, 0, 2, 1, 0, 2, 3, 4, 3, 3, 0, 0, 4, 3, 3, 3, 0, 2, 3, 3, 3, 4, 0, 3, 2, 2, 3, 0, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 0, 0, 0, 2, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 1, 0, 4, 2, 2, 0, 4, 1, 3, 3, 1, 1, 2, 3, 1, 1, 3, 2, 2, 2, 3, 2, 4, 0, 4, 4, 0, 3, 4, 2, 3, 2, 4, 3, 3, 3, 0, 3, 3, 3, 1, 4, 0, 1, 3, 1, 1, 1, 1, 2, 4, 4, 4, 4, 3, 1, 0, 0, 3, 4, 0, 4, 4, 1, 3, 4, 1, 4, 4, 1, 1, 0, 3, 1, 0, 2, 3, 2, 4, 4, 4, 1, 3, 3, 0, 4, 0, 1, 4, 2, 2, 4, 4, 4, 3, 2, 4, 2, 4, 3, 4, 3, 1, 4, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 1, 0, 3, 3, 1, 3, 3, 2, 3, 3, 2, 4, 4, 0, 1, 2, 0, 4, 0, 0, 4, 1, 2, 3, 1, 4, 4, 2, 0, 2, 0, 0, 4, 4, 2, 2, 0, 2, 2, 2, 1, 3, 4, 1, 4, 3, 1, 2, 4, 2, 1, 3, 1, 1, 0] pubkeycol1365 = [4, 4, 3, 1, 0, 3, 1, 3, 2, 0, 3, 3, 2, 4, 4, 2, 4, 4, 4, 2, 4, 3, 0, 4, 3, 3, 4, 3, 1, 0, 4, 3, 3, 2, 2, 0, 4, 0, 0, 0, 2, 0, 4, 3, 1, 1, 3, 2, 4, 2, 0, 2, 1, 2, 4, 4, 4, 2, 3, 1, 0, 1, 1, 0, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 4, 4, 0, 4, 3, 0, 4, 3, 2, 0, 4, 2, 3, 1, 2, 4, 0, 2, 0, 3, 0, 4, 1, 1, 4, 4, 4, 3, 1, 1, 2, 2, 1, 2, 4, 1, 4, 4, 2, 4, 1, 3, 2, 1, 3, 3, 4, 2, 1, 0, 4, 1, 0, 3, 2, 3, 3, 2, 2, 0, 0, 1, 0, 2, 4, 2, 4, 0, 0, 3, 2, 2, 1, 4, 2, 4, 2, 4, 1, 1, 2, 2, 0, 1, 4, 2, 2, 0, 4, 2, 3, 3, 4, 4, 4, 4, 2, 1, 3, 1, 2, 2, 2, 1, 4, 2, 3, 3, 1, 4, 4, 3, 2, 3, 4, 2, 1, 3, 1, 2, 4, 3, 3, 0, 1, 3, 3, 3, 3, 1, 3, 0, 1, 2, 2, 1, 3, 3, 0, 0, 3, 1, 1, 0, 3, 3, 3, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 3, 3, 0, 2, 3, 0, 2, 3, 2, 0, 3, 1, 2, 4, 0, 1, 1, 2, 3, 3, 4, 4, 1, 2, 2, 1, 0, 2, 3, 2, 1, 3, 2, 0, 0, 4, 2, 1, 3, 1, 2, 2, 4, 0, 3, 0, 1, 0, 0, 0, 4, 3, 3, 4, 4, 4, 0, 0, 3, 2, 3, 0, 4, 1, 1, 4, 3, 4, 2, 0, 4, 4, 0, 1, 3, 2, 0, 1, 2, 3, 3, 4, 3, 3, 0, 0, 0, 0, 4, 3, 2, 0, 2, 0, 3, 4, 2, 2, 4, 2, 2, 1, 3, 1, 0, 0, 0, 4, 3, 0, 1, 4, 3, 2, 2, 2, 4, 0, 1, 1, 1, 2, 4, 1, 1, 2, 3, 0, 4, 0, 2, 0, 4, 2, 2, 0, 1, 3, 4, 3, 2, 2, 4, 0, 4, 3, 1, 3, 2, 4, 4, 3, 1, 1, 2, 3, 2, 0, 3, 2, 4, 0, 0, 4, 2, 0, 0, 3, 0] pubkeycol1366 = [4, 0, 4, 4, 0, 0, 3, 2, 1, 1, 3, 3, 3, 2, 3, 3, 0, 4, 4, 4, 2, 2, 3, 3, 2, 0, 3, 3, 0, 0, 4, 1, 3, 2, 2, 2, 2, 4, 3, 2, 2, 0, 1, 1, 4, 2, 1, 1, 0, 0, 0, 3, 3, 3, 2, 4, 1, 1, 1, 0, 4, 3, 4, 1, 2, 0, 3, 2, 3, 1, 3, 3, 3, 1, 4, 2, 4, 0, 3, 2, 4, 1, 2, 1, 2, 4, 3, 1, 0, 2, 0, 2, 2, 0, 1, 2, 4, 4, 2, 1, 0, 1, 3, 2, 1, 1, 3, 0, 3, 3, 3, 1, 3, 3, 2, 4, 2, 3, 1, 1, 2, 3, 2, 4, 2, 4, 4, 4, 2, 2, 0, 2, 4, 2, 2, 1, 1, 4, 0, 2, 2, 2, 2, 0, 3, 4, 4, 3, 2, 4, 3, 1, 2, 0, 3, 4, 0, 0, 2, 4, 0, 2, 4, 2, 2, 4, 2, 2, 4, 1, 1, 2, 2, 2, 0, 2, 0, 2, 3, 1, 0, 1, 2, 2, 1, 4, 1, 4, 1, 1, 0, 0, 2, 4, 3, 4, 1, 2, 3, 0, 2, 3, 0, 4, 1, 1, 4, 0, 2, 3, 4, 1, 4, 2, 1, 3, 4, 3, 2, 3, 0, 1, 2, 1, 2, 3, 4, 2, 0, 0, 2, 4, 4, 1, 4, 0, 4, 1, 4, 3, 3, 0, 2, 0, 4, 4, 0, 3, 0, 1, 2, 4, 2, 4, 4, 2, 3, 4, 4, 2, 4, 2, 0, 4, 0, 4, 2, 4, 4, 4, 2, 3, 0, 4, 2, 1, 4, 4, 4, 3, 4, 4, 2, 2, 2, 3, 0, 1, 1, 0, 0, 0, 3, 4, 3, 0, 1, 2, 4, 0, 3, 1, 1, 1, 3, 2, 4, 3, 2, 1, 3, 1, 1, 3, 0, 0, 4, 0, 4, 4, 0, 1, 4, 3, 3, 3, 0, 0, 3, 4, 1, 1, 3, 0, 4, 2, 1, 3, 4, 2, 1, 2, 0, 1, 1, 1, 0, 0, 3, 2, 0, 2, 0, 0, 0, 3, 3, 3, 1, 3, 3, 2, 2, 4, 2, 2, 4, 4, 1, 2, 4, 3, 3, 4, 2, 3, 4, 0, 4, 2, 0, 0, 0, 0, 1, 1, 3, 0, 1, 4, 4, 2, 3, 2, 1, 4, 2, 2, 2, 4] pubkeycol1367 = [1, 1, 4, 1, 0, 0, 0, 2, 0, 1, 4, 0, 0, 0, 2, 1, 0, 2, 3, 3, 3, 2, 4, 4, 0, 1, 1, 3, 1, 3, 0, 1, 3, 4, 0, 3, 2, 2, 1, 4, 4, 2, 4, 3, 2, 3, 1, 1, 0, 0, 1, 3, 4, 2, 1, 0, 0, 2, 0, 0, 4, 2, 3, 1, 4, 4, 0, 4, 3, 3, 2, 4, 2, 0, 1, 3, 0, 1, 2, 2, 0, 3, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 3, 1, 1, 0, 0, 2, 0, 2, 2, 3, 4, 2, 4, 0, 0, 3, 3, 4, 4, 2, 4, 0, 4, 1, 2, 3, 0, 3, 1, 1, 1, 2, 3, 3, 0, 1, 2, 3, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 3, 2, 0, 4, 0, 0, 4, 4, 1, 3, 0, 1, 0, 0, 3, 0, 4, 3, 4, 1, 3, 0, 1, 0, 2, 4, 3, 1, 1, 2, 0, 3, 4, 0, 0, 4, 0, 0, 1, 2, 4, 3, 2, 2, 4, 0, 3, 0, 1, 0, 3, 3, 4, 0, 4, 2, 4, 1, 0, 1, 1, 4, 3, 4, 3, 4, 3, 0, 1, 3, 3, 2, 2, 2, 4, 3, 2, 0, 4, 2, 4, 3, 4, 1, 1, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 2, 1, 1, 4, 3, 3, 3, 1, 0, 4, 4, 1, 0, 1, 4, 0, 1, 4, 1, 0, 0, 3, 3, 1, 4, 3, 1, 3, 3, 1, 2, 0, 2, 3, 0, 2, 0, 0, 2, 1, 0, 4, 3, 1, 3, 0, 1, 3, 4, 0, 2, 0, 2, 3, 4, 0, 4, 3, 2, 3, 3, 3, 0, 0, 0, 2, 4, 4, 0, 3, 2, 2, 2, 4, 3, 3, 3, 4, 4, 2, 0, 1, 2, 1, 3, 0, 0, 1, 2, 1, 1, 1, 4, 1, 4, 0, 4, 4, 0, 1, 0, 3, 2, 0, 1, 3, 2, 4, 3, 3, 3, 3, 1, 2, 4, 3, 0, 2, 2, 4, 4, 0, 1, 4, 2, 3, 0, 4, 4, 2, 2, 4, 1, 4, 3, 3, 3, 3, 1, 1, 1, 0, 1, 2, 4, 2, 0, 1, 0, 4, 2, 4, 4, 4, 0, 2, 3, 3, 1, 4, 1, 1, 0, 2, 3] pubkeycol1368 = [0, 3, 2, 3, 1, 1, 3, 2, 1, 2, 4, 0, 2, 1, 4, 0, 1, 0, 1, 4, 1, 2, 3, 1, 3, 2, 3, 4, 3, 1, 0, 3, 2, 4, 3, 0, 0, 2, 2, 2, 2, 2, 3, 1, 3, 4, 0, 1, 1, 3, 1, 3, 2, 4, 1, 0, 0, 0, 1, 4, 2, 4, 0, 2, 1, 2, 1, 2, 2, 0, 3, 0, 1, 4, 1, 1, 3, 3, 2, 4, 0, 2, 4, 1, 3, 3, 2, 4, 1, 4, 4, 1, 1, 3, 2, 2, 3, 2, 3, 3, 0, 4, 1, 2, 0, 1, 3, 1, 3, 4, 4, 1, 2, 4, 4, 3, 1, 3, 4, 1, 2, 3, 0, 0, 4, 2, 3, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 4, 2, 1, 4, 2, 2, 0, 3, 2, 0, 2, 2, 4, 2, 0, 2, 4, 0, 1, 2, 3, 3, 3, 3, 0, 4, 1, 2, 4, 0, 4, 2, 1, 4, 1, 2, 1, 0, 0, 2, 0, 0, 3, 0, 4, 1, 3, 1, 2, 3, 1, 2, 3, 3, 4, 4, 3, 4, 4, 0, 1, 1, 4, 2, 4, 1, 0, 0, 4, 1, 3, 0, 2, 4, 4, 2, 3, 3, 1, 1, 1, 3, 0, 2, 0, 0, 4, 3, 2, 2, 2, 1, 3, 1, 3, 4, 2, 2, 4, 3, 4, 1, 2, 2, 2, 0, 0, 2, 4, 4, 3, 0, 4, 1, 2, 1, 3, 2, 0, 3, 1, 0, 4, 3, 1, 4, 1, 4, 0, 4, 4, 3, 4, 3, 0, 3, 3, 2, 0, 4, 2, 2, 4, 4, 4, 4, 1, 2, 2, 1, 3, 0, 3, 4, 2, 4, 3, 1, 2, 4, 1, 4, 3, 0, 4, 4, 0, 2, 1, 3, 3, 2, 1, 4, 1, 1, 3, 3, 1, 0, 2, 0, 0, 1, 3, 0, 3, 0, 1, 0, 4, 3, 4, 4, 3, 0, 2, 2, 4, 2, 1, 1, 0, 3, 3, 3, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 4, 4, 0, 1, 0, 3, 0, 4, 2, 4, 2, 2, 1, 0, 3, 0, 1, 2, 1, 3, 1, 0, 0, 2, 0, 4, 0, 2, 3, 3, 0, 4, 4, 1, 3, 0, 4, 2, 2, 4, 3, 2, 4, 1, 2, 4, 1] pubkeycol1369 = [4, 3, 3, 4, 2, 0, 3, 4, 0, 1, 2, 0, 4, 0, 3, 1, 0, 1, 0, 0, 2, 1, 1, 1, 3, 0, 1, 1, 0, 2, 3, 1, 3, 2, 4, 4, 4, 2, 0, 3, 0, 0, 3, 1, 4, 4, 1, 2, 4, 3, 4, 3, 1, 0, 2, 3, 1, 0, 4, 2, 3, 4, 0, 2, 3, 1, 3, 4, 0, 2, 3, 2, 4, 2, 4, 1, 0, 3, 4, 2, 0, 3, 3, 4, 2, 0, 4, 1, 2, 3, 4, 1, 2, 1, 4, 4, 0, 3, 4, 1, 2, 4, 0, 1, 2, 4, 4, 0, 3, 2, 2, 1, 2, 0, 0, 1, 2, 3, 3, 4, 0, 2, 2, 3, 3, 1, 0, 0, 0, 1, 2, 0, 0, 3, 4, 2, 1, 0, 2, 0, 1, 1, 4, 0, 3, 4, 2, 1, 2, 2, 3, 3, 1, 4, 4, 2, 1, 4, 2, 4, 1, 2, 4, 1, 3, 3, 4, 0, 4, 4, 4, 2, 0, 2, 1, 0, 3, 1, 0, 0, 4, 4, 3, 1, 1, 2, 0, 3, 4, 4, 2, 2, 3, 0, 4, 3, 3, 4, 1, 3, 2, 4, 2, 2, 4, 1, 2, 4, 4, 3, 4, 1, 2, 3, 2, 1, 4, 2, 2, 4, 4, 1, 0, 3, 1, 3, 2, 0, 1, 3, 0, 0, 0, 1, 2, 0, 4, 2, 4, 3, 4, 3, 1, 4, 0, 0, 0, 1, 2, 0, 1, 3, 2, 1, 1, 4, 4, 2, 3, 0, 1, 1, 3, 0, 2, 1, 0, 0, 0, 4, 0, 1, 4, 3, 2, 4, 4, 0, 4, 4, 4, 3, 0, 1, 1, 2, 2, 1, 0, 0, 2, 4, 3, 4, 3, 2, 2, 2, 3, 4, 0, 4, 0, 1, 2, 1, 2, 2, 1, 3, 4, 1, 4, 4, 3, 3, 2, 1, 2, 3, 0, 3, 4, 2, 4, 0, 0, 3, 3, 4, 4, 4, 0, 1, 3, 4, 4, 2, 1, 1, 0, 2, 3, 3, 3, 4, 0, 3, 3, 0, 3, 2, 4, 2, 4, 2, 0, 2, 3, 2, 4, 1, 0, 0, 3, 1, 1, 2, 4, 3, 3, 4, 4, 3, 2, 2, 2, 1, 3, 2, 2, 4, 3, 1, 2, 4, 4, 4, 1, 4, 2, 2, 4, 1, 3, 4, 3, 2, 2, 1] pubkeycol1370 = [0, 1, 3, 2, 3, 1, 4, 3, 3, 4, 0, 0, 2, 4, 3, 0, 0, 4, 3, 2, 0, 1, 4, 0, 4, 1, 1, 3, 2, 2, 2, 4, 0, 2, 1, 2, 3, 3, 1, 4, 0, 2, 4, 1, 2, 4, 3, 3, 1, 4, 1, 2, 2, 0, 2, 3, 0, 3, 3, 2, 4, 1, 3, 0, 0, 4, 4, 1, 1, 4, 2, 1, 2, 0, 0, 1, 0, 4, 1, 2, 2, 0, 0, 2, 3, 1, 3, 0, 1, 1, 3, 0, 1, 0, 1, 2, 3, 2, 0, 3, 3, 1, 0, 0, 3, 4, 2, 0, 3, 2, 0, 2, 0, 3, 2, 1, 2, 0, 4, 0, 4, 1, 2, 4, 0, 4, 4, 4, 3, 3, 0, 4, 4, 2, 1, 2, 0, 0, 2, 0, 1, 0, 3, 2, 3, 3, 0, 2, 3, 0, 0, 0, 0, 3, 3, 2, 3, 2, 3, 0, 4, 3, 3, 0, 0, 2, 2, 1, 3, 0, 2, 0, 2, 1, 2, 1, 1, 4, 0, 2, 3, 1, 2, 0, 2, 3, 3, 1, 2, 0, 4, 1, 0, 1, 4, 4, 2, 3, 4, 2, 1, 0, 1, 0, 0, 4, 1, 3, 1, 4, 3, 2, 1, 0, 3, 0, 4, 4, 3, 2, 3, 4, 2, 1, 1, 1, 4, 4, 0, 0, 1, 4, 0, 0, 4, 3, 3, 1, 4, 1, 1, 0, 4, 0, 3, 0, 1, 0, 2, 4, 2, 2, 1, 1, 3, 2, 1, 4, 3, 0, 2, 4, 3, 2, 1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 1, 4, 1, 2, 1, 0, 1, 0, 4, 0, 2, 4, 0, 3, 3, 3, 0, 1, 4, 3, 3, 4, 2, 0, 3, 2, 4, 2, 0, 0, 0, 1, 1, 2, 1, 4, 2, 0, 2, 2, 3, 4, 3, 4, 0, 1, 0, 4, 4, 2, 3, 2, 0, 0, 4, 4, 2, 3, 2, 0, 1, 2, 4, 2, 1, 0, 2, 3, 1, 2, 1, 4, 3, 0, 1, 2, 0, 1, 0, 2, 3, 1, 2, 0, 2, 4, 2, 2, 0, 4, 4, 2, 4, 0, 0, 3, 4, 1, 3, 1, 0, 0, 0, 1, 0, 3, 1, 2, 2, 3, 2, 0, 1, 4, 1, 0, 0, 2, 3, 2, 1, 0, 1, 1] pubkeycol1371 = [1, 1, 2, 2, 3, 0, 4, 0, 2, 1, 4, 1, 2, 2, 3, 0, 3, 4, 0, 2, 4, 1, 0, 2, 3, 3, 2, 0, 4, 0, 0, 3, 3, 3, 0, 4, 3, 0, 4, 1, 3, 1, 3, 0, 3, 2, 0, 3, 4, 0, 0, 0, 2, 4, 4, 3, 4, 0, 1, 2, 2, 2, 4, 0, 3, 1, 2, 2, 4, 1, 0, 4, 2, 3, 0, 4, 2, 0, 0, 2, 2, 2, 4, 3, 4, 1, 2, 4, 4, 4, 0, 1, 2, 2, 2, 0, 4, 4, 2, 3, 1, 2, 1, 1, 1, 3, 3, 3, 0, 2, 3, 4, 3, 2, 4, 3, 0, 2, 4, 3, 3, 0, 0, 0, 4, 4, 0, 2, 3, 3, 1, 1, 4, 3, 3, 3, 0, 1, 2, 0, 2, 3, 3, 4, 3, 2, 2, 0, 1, 2, 4, 4, 4, 4, 3, 3, 1, 4, 4, 2, 1, 0, 3, 2, 0, 1, 4, 4, 2, 0, 1, 1, 4, 2, 4, 2, 0, 0, 4, 4, 4, 3, 2, 4, 0, 1, 0, 2, 0, 2, 2, 4, 3, 3, 0, 1, 1, 2, 4, 0, 1, 3, 4, 1, 4, 4, 1, 2, 1, 0, 0, 4, 3, 3, 0, 0, 4, 2, 3, 2, 1, 1, 2, 0, 1, 4, 3, 0, 0, 3, 4, 2, 0, 4, 4, 2, 4, 1, 4, 2, 1, 1, 3, 2, 1, 0, 4, 4, 1, 3, 0, 3, 1, 4, 1, 3, 4, 0, 1, 1, 1, 4, 0, 4, 1, 1, 0, 1, 2, 1, 2, 4, 1, 2, 3, 4, 4, 0, 1, 1, 3, 2, 1, 1, 1, 3, 4, 2, 0, 0, 2, 2, 2, 1, 2, 3, 0, 1, 3, 4, 0, 4, 0, 3, 0, 3, 4, 3, 2, 4, 2, 2, 1, 0, 0, 0, 0, 0, 2, 4, 4, 0, 3, 4, 1, 3, 0, 4, 1, 0, 2, 4, 1, 4, 0, 2, 2, 0, 4, 1, 2, 3, 1, 3, 4, 4, 2, 0, 4, 1, 0, 4, 1, 0, 4, 2, 2, 0, 4, 1, 0, 2, 3, 1, 3, 4, 1, 0, 1, 1, 0, 0, 2, 4, 0, 1, 0, 4, 4, 4, 0, 4, 1, 4, 4, 3, 0, 1, 3, 3, 3, 1, 2, 4, 4, 0, 0, 4, 0, 2] pubkeycol1372 = [1, 2, 0, 3, 1, 1, 3, 2, 1, 2, 0, 0, 1, 3, 0, 1, 0, 4, 4, 3, 2, 2, 2, 2, 3, 3, 4, 0, 1, 0, 0, 3, 4, 2, 2, 1, 0, 1, 1, 0, 4, 4, 1, 2, 3, 4, 1, 1, 4, 3, 2, 2, 2, 4, 2, 1, 4, 4, 0, 1, 3, 1, 1, 3, 4, 1, 2, 3, 0, 2, 2, 0, 3, 1, 3, 1, 0, 3, 2, 3, 0, 1, 3, 1, 1, 2, 1, 0, 4, 4, 1, 4, 3, 2, 3, 2, 0, 3, 0, 2, 3, 3, 2, 4, 1, 1, 2, 4, 1, 1, 0, 4, 4, 1, 0, 3, 3, 3, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 3, 4, 3, 2, 0, 1, 3, 2, 3, 2, 1, 2, 2, 1, 0, 2, 0, 3, 4, 4, 1, 0, 0, 2, 1, 3, 2, 4, 2, 1, 3, 4, 4, 0, 0, 2, 3, 0, 1, 0, 2, 4, 2, 2, 1, 1, 1, 0, 0, 4, 0, 2, 2, 1, 3, 0, 1, 0, 3, 0, 1, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 1, 0, 1, 0, 2, 4, 3, 4, 2, 3, 3, 4, 1, 0, 4, 3, 3, 0, 3, 2, 4, 1, 0, 4, 0, 2, 2, 1, 2, 4, 2, 2, 0, 4, 0, 0, 3, 1, 4, 3, 3, 0, 3, 0, 1, 0, 0, 2, 2, 2, 2, 4, 1, 1, 2, 1, 0, 4, 2, 1, 3, 0, 4, 0, 3, 2, 0, 4, 0, 0, 4, 0, 4, 3, 1, 0, 1, 2, 1, 1, 4, 3, 2, 0, 0, 0, 2, 4, 4, 4, 3, 1, 0, 0, 3, 3, 0, 1, 0, 2, 3, 3, 2, 2, 4, 3, 0, 3, 4, 3, 0, 3, 1, 2, 1, 0, 4, 1, 1, 4, 4, 1, 3, 1, 1, 3, 0, 1, 4, 2, 3, 4, 1, 3, 2, 3, 4, 4, 2, 0, 3, 2, 3, 4, 3, 2, 2, 0, 3, 3, 3, 4, 4, 4, 2, 0, 0, 1, 3, 2, 0, 3, 4, 1, 1, 3, 1, 2, 3, 0, 0, 4, 0, 1, 3, 3, 4, 3, 2, 3, 3, 0, 2, 2, 1, 2, 3, 4, 2, 1, 2, 2, 2, 3, 2, 1, 1, 3] pubkeycol1373 = [0, 0, 1, 0, 2, 1, 4, 3, 4, 3, 0, 4, 1, 0, 4, 0, 2, 1, 0, 3, 0, 3, 2, 4, 4, 2, 1, 2, 2, 1, 2, 2, 1, 1, 4, 4, 1, 2, 3, 1, 3, 1, 1, 0, 1, 2, 4, 3, 1, 1, 1, 0, 2, 1, 1, 3, 1, 4, 4, 3, 4, 4, 0, 0, 3, 2, 1, 2, 2, 1, 2, 3, 2, 4, 2, 1, 2, 4, 3, 4, 3, 4, 4, 3, 4, 2, 3, 0, 0, 2, 3, 4, 2, 0, 1, 1, 3, 3, 4, 0, 0, 4, 3, 2, 1, 2, 4, 3, 3, 3, 4, 3, 1, 0, 2, 4, 4, 1, 4, 1, 3, 0, 2, 4, 2, 4, 4, 3, 0, 2, 2, 4, 2, 2, 3, 0, 0, 2, 4, 4, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 4, 1, 4, 3, 1, 1, 1, 1, 4, 0, 2, 0, 0, 0, 0, 1, 3, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 4, 4, 2, 2, 1, 4, 1, 0, 2, 4, 4, 0, 0, 4, 2, 3, 2, 0, 0, 3, 2, 1, 3, 1, 2, 4, 2, 4, 3, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 3, 3, 1, 1, 1, 1, 0, 0, 1, 1, 0, 4, 2, 1, 2, 2, 4, 0, 4, 4, 1, 2, 3, 0, 4, 4, 1, 0, 0, 0, 2, 2, 4, 2, 3, 1, 3, 1, 1, 0, 4, 4, 1, 3, 3, 1, 3, 1, 2, 0, 0, 2, 2, 1, 4, 0, 1, 3, 3, 4, 4, 4, 1, 4, 0, 4, 1, 0, 1, 0, 2, 1, 1, 4, 4, 3, 4, 2, 0, 0, 2, 3, 3, 3, 2, 3, 1, 3, 3, 3, 1, 2, 1, 0, 4, 4, 2, 1, 1, 4, 2, 4, 2, 0, 1, 0, 4, 0, 3, 1, 3, 4, 0, 3, 1, 4, 3, 2, 1, 4, 3, 1, 0, 2, 2, 4, 4, 3, 0, 0, 2, 1, 4, 0, 1, 4, 2, 0, 4, 2, 1, 1, 3, 4, 1, 2, 2, 1, 4, 1, 3, 0, 3, 2, 2, 0, 2, 2, 1, 4, 4, 1, 0, 0, 3, 0, 0, 1, 2, 1, 3, 2, 1, 2, 0, 1, 3, 3, 3, 3, 0, 3, 0] pubkeycol1374 = [1, 4, 0, 4, 4, 3, 4, 1, 2, 3, 0, 0, 0, 4, 0, 0, 4, 1, 1, 1, 2, 3, 1, 1, 0, 4, 1, 2, 1, 4, 3, 3, 1, 0, 3, 4, 1, 2, 2, 1, 4, 0, 4, 0, 4, 1, 0, 0, 1, 0, 0, 2, 1, 1, 4, 3, 0, 0, 1, 4, 2, 4, 4, 0, 1, 4, 1, 2, 2, 4, 3, 4, 1, 3, 2, 1, 3, 3, 2, 3, 2, 1, 2, 0, 4, 2, 3, 4, 3, 3, 0, 2, 3, 1, 3, 3, 1, 4, 3, 4, 0, 2, 4, 1, 3, 2, 4, 2, 4, 1, 3, 4, 2, 3, 1, 3, 4, 4, 1, 3, 0, 2, 1, 4, 2, 4, 1, 1, 1, 2, 0, 0, 3, 3, 0, 4, 2, 3, 2, 2, 4, 1, 3, 3, 1, 1, 3, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 4, 2, 1, 2, 3, 4, 1, 2, 4, 3, 4, 0, 1, 2, 2, 0, 3, 4, 2, 0, 0, 1, 3, 2, 2, 3, 3, 4, 1, 1, 4, 4, 1, 0, 3, 0, 3, 2, 3, 2, 2, 3, 1, 0, 0, 3, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 2, 3, 3, 0, 1, 2, 3, 1, 4, 3, 3, 0, 2, 4, 4, 1, 1, 4, 2, 1, 2, 2, 2, 1, 3, 4, 2, 0, 3, 3, 1, 3, 3, 4, 4, 1, 4, 4, 3, 1, 2, 3, 1, 2, 1, 0, 3, 1, 2, 3, 1, 0, 1, 2, 2, 4, 2, 1, 2, 0, 3, 2, 1, 2, 4, 4, 0, 2, 3, 4, 2, 0, 4, 3, 3, 3, 0, 2, 2, 4, 1, 2, 2, 1, 0, 4, 4, 2, 3, 1, 0, 2, 1, 1, 4, 4, 3, 1, 1, 1, 3, 2, 2, 4, 3, 3, 4, 3, 0, 4, 0, 1, 0, 3, 1, 3, 3, 0, 1, 1, 2, 0, 0, 4, 0, 0, 3, 2, 2, 3, 2, 1, 1, 3, 1, 3, 4, 1, 1, 0, 3, 4, 4, 2, 2, 0, 2, 1, 3, 3, 0, 4, 1, 2, 3, 2, 4, 1, 0, 0, 1, 1, 0, 1, 4, 4, 2, 2, 4, 4, 3, 4, 0, 2, 4, 0, 3, 4, 0, 3, 4, 2, 0, 1, 0] pubkeycol1375 = [0, 4, 1, 1, 2, 4, 4, 0, 4, 1, 3, 2, 1, 3, 3, 3, 4, 2, 4, 4, 2, 0, 4, 0, 1, 0, 3, 4, 2, 2, 1, 1, 4, 4, 4, 4, 4, 2, 1, 4, 1, 2, 0, 2, 4, 1, 3, 0, 0, 1, 1, 1, 2, 4, 0, 0, 3, 3, 1, 1, 1, 0, 1, 4, 0, 0, 1, 3, 1, 2, 1, 3, 2, 4, 4, 3, 1, 4, 1, 0, 3, 4, 2, 4, 3, 1, 3, 3, 3, 1, 3, 3, 4, 3, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 4, 2, 2, 2, 4, 4, 3, 1, 2, 0, 0, 4, 2, 1, 3, 4, 0, 4, 0, 2, 2, 1, 4, 4, 4, 2, 4, 4, 4, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 4, 4, 2, 1, 1, 3, 1, 2, 4, 4, 1, 3, 2, 2, 3, 1, 0, 2, 2, 0, 4, 1, 0, 1, 3, 0, 1, 4, 1, 4, 2, 1, 4, 3, 4, 1, 2, 0, 4, 2, 0, 3, 3, 4, 4, 1, 4, 4, 3, 3, 1, 4, 1, 2, 4, 3, 1, 0, 4, 3, 1, 0, 2, 1, 3, 4, 0, 1, 2, 3, 4, 1, 0, 3, 1, 4, 4, 0, 0, 1, 2, 4, 2, 0, 3, 3, 2, 1, 4, 2, 4, 1, 3, 2, 2, 1, 3, 2, 4, 2, 3, 4, 2, 2, 4, 0, 0, 3, 0, 4, 0, 0, 0, 2, 4, 0, 2, 3, 2, 0, 3, 3, 1, 4, 1, 4, 0, 2, 4, 3, 3, 4, 2, 4, 1, 2, 2, 1, 2, 2, 1, 0, 4, 0, 2, 0, 4, 4, 2, 1, 0, 4, 4, 2, 3, 0, 4, 4, 0, 4, 1, 3, 4, 1, 1, 3, 0, 1, 0, 0, 4, 3, 4, 2, 0, 1, 2, 1, 4, 1, 4, 4, 1, 1, 3, 1, 2, 3, 3, 3, 2, 0, 2, 4, 2, 1, 0, 4, 3, 0, 1, 2, 3, 2, 0, 4, 4, 2, 4, 0, 4, 3, 3, 1, 2, 2, 1, 2, 1, 4, 4, 3, 2, 0, 0, 3, 4, 3, 3, 3, 3, 4, 2, 2, 1, 1, 2, 3, 2, 2, 3, 2, 2, 0, 3, 3, 3, 0, 1, 2, 0, 1, 4, 1, 1] pubkeycol1376 = [3, 1, 3, 4, 2, 0, 1, 4, 2, 0, 3, 3, 2, 3, 1, 3, 2, 3, 4, 1, 0, 0, 0, 3, 3, 1, 2, 3, 2, 4, 1, 1, 4, 3, 3, 0, 3, 0, 3, 3, 2, 4, 3, 3, 4, 4, 4, 3, 2, 2, 3, 0, 4, 2, 1, 3, 3, 4, 2, 2, 1, 2, 1, 2, 3, 4, 0, 2, 1, 2, 2, 0, 0, 1, 0, 3, 4, 3, 2, 2, 4, 4, 1, 1, 4, 4, 4, 2, 2, 3, 4, 3, 0, 2, 4, 4, 1, 2, 1, 3, 0, 4, 0, 2, 4, 4, 3, 4, 2, 1, 1, 0, 4, 1, 3, 1, 2, 3, 2, 0, 4, 3, 2, 1, 4, 3, 3, 2, 1, 2, 2, 4, 0, 0, 2, 2, 2, 0, 4, 3, 1, 4, 1, 3, 3, 3, 4, 1, 0, 4, 1, 1, 0, 4, 3, 1, 1, 3, 0, 2, 1, 3, 1, 2, 0, 1, 1, 1, 2, 0, 3, 1, 2, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 4, 1, 4, 3, 2, 2, 0, 1, 0, 0, 3, 4, 0, 2, 4, 1, 4, 1, 1, 2, 2, 0, 1, 4, 3, 2, 3, 0, 2, 3, 3, 3, 3, 1, 4, 2, 0, 4, 1, 2, 0, 1, 4, 1, 1, 0, 1, 1, 1, 2, 3, 2, 4, 3, 1, 2, 4, 4, 0, 1, 4, 4, 0, 1, 4, 3, 2, 1, 1, 1, 4, 3, 4, 1, 0, 0, 4, 1, 2, 2, 4, 2, 1, 2, 1, 4, 0, 1, 3, 4, 1, 2, 4, 2, 0, 2, 2, 1, 2, 1, 3, 0, 4, 1, 1, 4, 0, 4, 1, 1, 3, 0, 4, 2, 0, 4, 2, 0, 1, 3, 0, 4, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 1, 4, 1, 1, 1, 2, 3, 3, 1, 1, 0, 4, 4, 3, 3, 4, 3, 3, 0, 0, 2, 3, 1, 1, 4, 1, 4, 3, 2, 3, 1, 1, 0, 4, 1, 3, 2, 4, 3, 0, 0, 0, 4, 3, 4, 2, 0, 1, 0, 3, 1, 3, 1, 3, 3, 0, 0, 3, 0, 4, 0, 1, 4, 1, 4, 3, 2, 1, 2, 4, 1, 4, 4, 0] pubkeycol1377 = [0, 2, 0, 2, 1, 0, 4, 0, 1, 3, 1, 3, 0, 1, 3, 1, 1, 3, 3, 0, 2, 1, 4, 1, 0, 2, 4, 1, 4, 2, 2, 1, 0, 3, 0, 2, 2, 4, 0, 2, 4, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 4, 3, 0, 1, 2, 4, 3, 1, 1, 4, 1, 2, 2, 3, 4, 3, 3, 4, 2, 0, 1, 3, 0, 0, 4, 3, 0, 3, 2, 2, 0, 2, 3, 3, 2, 2, 1, 2, 3, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 3, 3, 2, 2, 4, 3, 2, 4, 0, 0, 4, 2, 2, 1, 4, 0, 2, 4, 2, 4, 0, 4, 3, 0, 1, 3, 4, 1, 1, 3, 1, 1, 2, 0, 1, 2, 0, 0, 0, 3, 0, 0, 1, 4, 4, 2, 1, 4, 1, 1, 4, 3, 4, 4, 2, 4, 3, 0, 1, 4, 0, 0, 3, 1, 1, 3, 3, 2, 0, 4, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 4, 2, 2, 3, 2, 3, 4, 2, 1, 3, 4, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 4, 3, 4, 3, 1, 2, 0, 0, 3, 4, 1, 4, 4, 2, 1, 4, 2, 1, 1, 1, 0, 1, 0, 3, 1, 0, 2, 2, 0, 0, 0, 4, 0, 3, 4, 4, 3, 0, 0, 3, 1, 0, 1, 3, 0, 1, 2, 4, 3, 1, 1, 0, 3, 2, 2, 4, 4, 1, 0, 4, 2, 4, 3, 0, 2, 0, 0, 1, 4, 3, 0, 3, 0, 0, 4, 2, 0, 1, 4, 4, 4, 1, 3, 0, 3, 1, 1, 4, 2, 3, 3, 3, 4, 0, 2, 4, 4, 1, 1, 3, 1, 4, 4, 3, 3, 1, 2, 4, 4, 1, 0, 4, 1, 2, 3, 4, 4, 0, 1, 0, 0, 3, 3, 1, 4, 4, 0, 4, 3, 1, 2, 3, 1, 4, 1, 0, 2, 4, 4, 1, 3, 1, 0, 4, 3, 2, 2, 2, 4, 0, 4, 2, 1, 2, 2, 1, 2, 4, 0, 2, 0, 4, 1, 2, 2, 1, 4, 3, 4, 2, 0, 1, 1, 1, 2, 3, 4, 0, 1, 1, 2, 0, 4, 1, 1, 3, 3, 0, 0, 1, 4, 0, 4, 4, 1] pubkeycol1378 = [4, 1, 2, 4, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 2, 3, 1, 0, 0, 1, 3, 3, 2, 3, 4, 4, 3, 3, 3, 4, 2, 3, 2, 0, 1, 1, 3, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 4, 0, 0, 3, 1, 1, 1, 1, 0, 1, 3, 3, 1, 2, 3, 4, 1, 0, 1, 0, 2, 1, 1, 1, 3, 0, 2, 1, 2, 1, 3, 0, 4, 3, 4, 2, 4, 4, 4, 3, 3, 0, 3, 2, 1, 4, 4, 2, 3, 0, 0, 3, 2, 2, 4, 2, 2, 1, 1, 3, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 4, 3, 4, 3, 3, 4, 2, 4, 4, 0, 1, 0, 3, 0, 4, 3, 1, 2, 4, 3, 3, 2, 4, 3, 2, 4, 3, 0, 0, 4, 1, 3, 0, 1, 1, 4, 2, 3, 4, 2, 4, 0, 0, 4, 3, 3, 3, 4, 0, 4, 3, 2, 4, 0, 4, 3, 3, 2, 2, 2, 4, 4, 4, 2, 3, 0, 4, 3, 2, 4, 1, 3, 4, 4, 2, 3, 3, 4, 1, 0, 1, 3, 0, 1, 2, 3, 0, 1, 4, 3, 2, 3, 3, 4, 2, 1, 4, 4, 0, 1, 3, 4, 4, 1, 2, 2, 0, 0, 1, 4, 1, 0, 2, 3, 0, 1, 3, 2, 4, 2, 2, 2, 2, 0, 1, 3, 3, 4, 4, 1, 3, 1, 4, 2, 4, 0, 3, 1, 0, 1, 0, 3, 0, 1, 3, 3, 2, 4, 1, 3, 4, 1, 1, 3, 4, 3, 4, 2, 3, 4, 0, 1, 4, 2, 0, 3, 4, 4, 3, 0, 2, 0, 1, 0, 1, 3, 4, 3, 3, 1, 1, 3, 1, 3, 3, 4, 4, 2, 4, 2, 0, 3, 3, 2, 1, 4, 2, 3, 1, 2, 0, 4, 4, 4, 3, 2, 0, 0, 1, 3, 2, 2, 1, 3, 1, 3, 3, 2, 1, 0, 1, 0, 2, 4, 3, 1, 2, 1, 0, 1, 2, 3, 1, 2, 0, 0, 3, 0, 4, 0, 3, 3, 1, 3, 2, 3, 3, 0, 3, 4, 1, 0, 2, 1, 4, 3, 1, 1, 2, 2, 2, 2, 2, 0, 4, 0, 2, 2, 4, 0, 4, 0, 4, 0, 0, 0] pubkeycol1379 = [1, 4, 2, 0, 0, 4, 4, 3, 0, 4, 4, 2, 3, 0, 0, 0, 4, 0, 0, 2, 0, 2, 4, 1, 0, 2, 2, 3, 2, 2, 4, 0, 4, 2, 0, 0, 2, 3, 4, 1, 3, 3, 3, 4, 1, 4, 1, 1, 2, 0, 1, 1, 3, 3, 0, 3, 0, 3, 3, 2, 4, 3, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 4, 1, 3, 0, 1, 1, 2, 0, 0, 2, 4, 1, 2, 4, 2, 0, 3, 4, 0, 4, 0, 2, 1, 0, 4, 1, 2, 0, 1, 4, 4, 0, 2, 3, 2, 1, 2, 0, 3, 0, 3, 4, 0, 3, 3, 2, 4, 0, 2, 0, 3, 2, 4, 2, 3, 1, 4, 3, 1, 3, 3, 2, 0, 3, 0, 0, 2, 2, 4, 4, 3, 0, 0, 2, 1, 1, 3, 4, 2, 1, 0, 3, 0, 1, 4, 4, 2, 2, 3, 4, 0, 0, 2, 2, 0, 4, 4, 0, 3, 2, 0, 0, 3, 0, 3, 4, 4, 2, 0, 4, 4, 3, 1, 2, 3, 3, 2, 0, 1, 2, 1, 1, 3, 2, 4, 4, 4, 0, 4, 3, 0, 1, 4, 1, 3, 0, 2, 4, 3, 2, 3, 4, 1, 0, 2, 0, 4, 1, 0, 0, 3, 1, 1, 4, 0, 1, 2, 2, 1, 3, 1, 1, 4, 0, 4, 3, 2, 4, 3, 4, 0, 2, 0, 3, 2, 2, 3, 3, 0, 1, 0, 2, 3, 1, 1, 2, 3, 2, 0, 4, 1, 2, 3, 2, 0, 4, 4, 0, 3, 3, 4, 1, 2, 2, 2, 0, 0, 3, 3, 2, 1, 3, 2, 3, 1, 0, 3, 1, 1, 4, 4, 3, 4, 3, 2, 4, 0, 1, 1, 0, 1, 3, 1, 4, 2, 1, 0, 4, 4, 3, 0, 1, 3, 2, 2, 2, 3, 4, 1, 1, 2, 1, 0, 4, 2, 2, 4, 2, 1, 4, 0, 1, 4, 4, 4, 1, 0, 4, 3, 2, 2, 0, 0, 0, 3, 2, 1, 1, 4, 2, 3, 0, 3, 2, 0, 3, 2, 3, 1, 3, 1, 1, 1, 4, 4, 3, 0, 2, 2, 0, 1, 1, 4, 0, 0, 4, 2, 4, 0, 1, 4, 1, 1, 1, 3, 0, 0, 1, 0, 2, 4, 4, 4, 3, 2, 0, 0] pubkeycol1380 = [4, 0, 0, 0, 4, 4, 4, 4, 0, 1, 4, 2, 1, 4, 2, 4, 3, 0, 4, 2, 2, 4, 0, 2, 2, 4, 2, 0, 0, 2, 3, 0, 0, 3, 2, 2, 3, 3, 0, 1, 0, 4, 2, 2, 3, 2, 1, 1, 2, 2, 1, 1, 3, 4, 3, 0, 2, 3, 3, 4, 3, 3, 3, 1, 0, 2, 2, 3, 2, 3, 0, 4, 0, 3, 0, 4, 1, 1, 4, 1, 2, 4, 0, 4, 2, 0, 3, 1, 4, 2, 4, 1, 3, 0, 3, 1, 1, 0, 2, 4, 1, 1, 2, 1, 3, 3, 0, 4, 4, 4, 0, 2, 2, 2, 3, 2, 3, 2, 1, 1, 4, 4, 0, 0, 1, 1, 3, 0, 2, 2, 4, 4, 3, 4, 3, 2, 4, 3, 1, 1, 3, 2, 0, 0, 0, 4, 4, 3, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 3, 1, 1, 1, 3, 4, 1, 0, 1, 0, 0, 3, 0, 3, 2, 2, 3, 4, 1, 1, 2, 0, 2, 4, 2, 0, 2, 4, 1, 1, 4, 1, 2, 3, 1, 0, 2, 1, 4, 2, 4, 3, 4, 0, 2, 2, 2, 3, 0, 2, 0, 3, 4, 4, 4, 3, 0, 3, 3, 3, 2, 1, 0, 0, 1, 3, 2, 0, 0, 3, 3, 0, 2, 3, 4, 4, 4, 2, 3, 4, 3, 2, 3, 1, 2, 1, 3, 0, 0, 1, 3, 3, 4, 1, 3, 4, 4, 3, 0, 4, 0, 1, 1, 4, 1, 3, 3, 3, 2, 2, 0, 0, 0, 3, 1, 2, 1, 2, 2, 1, 4, 0, 3, 0, 2, 2, 2, 0, 4, 3, 1, 1, 3, 1, 1, 0, 0, 4, 2, 0, 0, 4, 4, 0, 0, 4, 3, 1, 3, 0, 0, 2, 4, 2, 4, 1, 2, 4, 1, 0, 3, 4, 4, 1, 0, 3, 2, 0, 4, 2, 2, 0, 3, 3, 4, 1, 1, 2, 1, 4, 0, 4, 0, 0, 2, 1, 1, 3, 1, 2, 4, 0, 4, 3, 3, 2, 0, 1, 1, 1, 2, 3, 2, 0, 3, 3, 1, 3, 4, 3, 0, 3, 0, 4, 4, 1, 0, 3, 4, 1, 0, 1, 1, 3, 1, 3, 3, 3, 1, 0, 1, 4, 3, 2, 0, 1, 1, 3, 1] pubkeycol1381 = [0, 1, 3, 0, 2, 3, 0, 3, 1, 4, 3, 3, 4, 2, 3, 2, 2, 4, 2, 3, 1, 0, 3, 2, 4, 1, 0, 3, 2, 4, 0, 4, 3, 2, 0, 2, 1, 0, 2, 0, 4, 0, 4, 0, 2, 2, 2, 0, 4, 3, 3, 1, 0, 3, 0, 4, 1, 4, 0, 4, 0, 0, 4, 4, 1, 3, 3, 0, 0, 3, 1, 1, 1, 3, 2, 2, 1, 1, 0, 3, 0, 1, 0, 1, 2, 4, 3, 2, 0, 0, 2, 3, 0, 0, 2, 3, 3, 0, 1, 3, 4, 0, 2, 2, 2, 4, 4, 1, 1, 4, 0, 1, 4, 3, 2, 0, 3, 4, 3, 2, 1, 4, 3, 2, 0, 0, 2, 0, 4, 2, 4, 1, 4, 2, 4, 0, 1, 2, 4, 4, 2, 4, 4, 4, 2, 4, 1, 1, 3, 2, 3, 2, 4, 0, 3, 1, 2, 0, 2, 4, 4, 4, 1, 2, 2, 4, 4, 2, 4, 0, 1, 3, 1, 2, 0, 2, 3, 0, 1, 0, 0, 4, 0, 0, 0, 2, 1, 4, 3, 1, 4, 0, 2, 2, 0, 4, 0, 1, 4, 2, 0, 2, 2, 1, 0, 4, 4, 0, 2, 0, 3, 3, 1, 4, 4, 2, 4, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 1, 1, 2, 3, 4, 0, 1, 2, 4, 2, 3, 4, 3, 4, 4, 0, 1, 1, 4, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 1, 3, 2, 3, 2, 0, 2, 1, 2, 2, 1, 4, 1, 2, 4, 4, 0, 3, 0, 1, 1, 0, 4, 1, 3, 2, 0, 3, 1, 2, 0, 1, 2, 3, 0, 0, 1, 3, 4, 4, 4, 4, 2, 3, 3, 0, 3, 4, 0, 3, 1, 4, 3, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 3, 1, 1, 0, 4, 4, 1, 3, 3, 2, 0, 4, 4, 2, 3, 0, 2, 1, 1, 2, 4, 2, 4, 0, 4, 1, 4, 3, 1, 2, 0, 3, 4, 3, 1, 0, 2, 3, 4, 3, 2, 2, 4, 0, 3, 2, 4, 3, 1, 2, 4, 4, 2, 1, 1, 4, 0, 3, 1, 2, 3, 1, 3, 3, 2, 4, 4, 0, 4] pubkeycol1382 = [0, 3, 0, 3, 0, 0, 3, 2, 2, 2, 4, 3, 4, 0, 0, 1, 4, 4, 4, 2, 1, 2, 1, 1, 1, 4, 0, 1, 4, 2, 0, 2, 4, 1, 4, 3, 1, 4, 1, 1, 1, 2, 2, 3, 4, 0, 0, 1, 4, 1, 1, 4, 0, 0, 2, 4, 1, 4, 0, 1, 1, 4, 4, 2, 0, 1, 0, 0, 0, 2, 4, 3, 4, 1, 1, 3, 3, 3, 4, 4, 4, 0, 3, 4, 3, 3, 4, 4, 2, 1, 4, 0, 1, 1, 2, 3, 0, 0, 1, 1, 3, 3, 0, 4, 4, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 3, 4, 2, 2, 1, 4, 0, 1, 0, 3, 2, 3, 1, 4, 2, 1, 0, 4, 1, 4, 0, 3, 1, 3, 4, 4, 2, 1, 4, 1, 4, 0, 4, 1, 0, 2, 2, 4, 4, 4, 2, 4, 3, 3, 0, 2, 3, 3, 3, 0, 0, 0, 0, 3, 2, 1, 1, 3, 1, 2, 4, 4, 4, 2, 4, 0, 2, 3, 4, 0, 3, 3, 2, 1, 4, 0, 0, 0, 3, 4, 0, 3, 1, 3, 1, 4, 2, 3, 1, 4, 4, 3, 0, 2, 3, 1, 1, 3, 3, 1, 2, 4, 3, 3, 4, 4, 4, 4, 1, 4, 2, 2, 0, 0, 2, 0, 3, 0, 3, 4, 1, 3, 3, 1, 1, 0, 3, 3, 1, 4, 2, 0, 2, 1, 2, 3, 2, 4, 2, 0, 2, 3, 1, 3, 4, 2, 3, 0, 3, 3, 1, 4, 2, 4, 3, 3, 4, 0, 4, 2, 3, 1, 0, 3, 3, 1, 4, 4, 3, 0, 3, 1, 1, 0, 1, 4, 3, 2, 1, 3, 4, 4, 0, 1, 4, 0, 0, 4, 4, 1, 1, 1, 4, 2, 0, 2, 1, 2, 1, 1, 4, 4, 2, 0, 1, 2, 1, 1, 3, 1, 3, 0, 4, 2, 4, 4, 4, 4, 3, 1, 1, 0, 4, 1, 0, 3, 3, 1, 1, 3, 3, 1, 0, 4, 4, 3, 4, 2, 4, 2, 1, 4, 1, 1, 2, 1, 1, 0, 3, 0, 4, 2, 3, 2, 3, 4, 0, 3, 0, 3, 0, 3, 3, 4, 0, 2, 1, 2, 1, 0, 1, 1, 4, 0, 3, 1, 3, 4, 2, 4, 1, 0, 0, 4, 1] pubkeycol1383 = [3, 2, 2, 1, 3, 1, 4, 3, 2, 0, 1, 0, 4, 4, 4, 4, 4, 0, 0, 1, 3, 3, 4, 2, 0, 3, 4, 0, 4, 3, 1, 3, 1, 0, 1, 3, 4, 3, 0, 1, 2, 3, 0, 1, 1, 2, 0, 0, 2, 3, 1, 4, 3, 0, 3, 3, 4, 4, 0, 1, 0, 0, 3, 4, 2, 1, 2, 2, 4, 2, 0, 1, 1, 1, 3, 1, 1, 2, 3, 4, 0, 3, 2, 2, 0, 4, 4, 1, 0, 4, 4, 4, 2, 0, 1, 0, 1, 0, 0, 3, 0, 2, 4, 2, 0, 4, 1, 4, 3, 4, 0, 2, 4, 2, 0, 4, 1, 0, 3, 1, 2, 0, 4, 2, 2, 3, 4, 4, 2, 1, 0, 4, 1, 2, 2, 1, 1, 4, 0, 3, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 3, 1, 2, 4, 0, 3, 3, 1, 0, 1, 3, 3, 1, 0, 4, 1, 3, 1, 2, 3, 1, 3, 0, 4, 2, 0, 0, 2, 1, 4, 4, 1, 0, 4, 1, 1, 4, 2, 1, 3, 4, 3, 4, 2, 1, 4, 3, 3, 0, 3, 0, 3, 2, 4, 4, 1, 1, 4, 3, 4, 0, 4, 1, 2, 1, 2, 4, 2, 2, 4, 3, 3, 4, 1, 3, 0, 0, 2, 2, 0, 4, 1, 2, 3, 4, 2, 2, 4, 1, 0, 1, 4, 1, 1, 2, 2, 4, 3, 3, 0, 2, 0, 2, 1, 0, 0, 3, 3, 1, 4, 2, 3, 2, 2, 2, 4, 0, 1, 0, 1, 0, 4, 1, 1, 2, 2, 4, 0, 2, 4, 0, 2, 1, 1, 2, 1, 1, 0, 0, 3, 3, 1, 4, 3, 1, 0, 4, 0, 1, 0, 0, 2, 0, 0, 0, 4, 4, 0, 3, 1, 3, 1, 3, 1, 2, 4, 1, 0, 0, 3, 1, 0, 3, 0, 4, 4, 4, 4, 1, 0, 2, 1, 1, 2, 4, 2, 4, 3, 4, 4, 3, 0, 4, 3, 4, 4, 4, 3, 2, 3, 4, 0, 0, 4, 1, 3, 4, 3, 3, 0, 3, 1, 3, 3, 4, 2, 1, 3, 0, 0, 4, 3, 3, 4, 1, 4, 1, 0, 1, 3, 4, 4, 2, 4, 2, 1, 4, 2, 4, 1, 1, 1, 3, 1, 3, 3, 1, 3, 3] pubkeycol1384 = [0, 3, 2, 2, 1, 3, 1, 1, 2, 1, 2, 0, 1, 3, 1, 2, 4, 0, 4, 1, 4, 2, 4, 4, 0, 4, 0, 4, 1, 0, 0, 3, 3, 3, 3, 1, 2, 1, 2, 2, 1, 1, 1, 3, 3, 0, 1, 4, 4, 1, 3, 4, 0, 1, 0, 2, 1, 4, 3, 0, 4, 2, 1, 0, 2, 4, 0, 3, 1, 3, 2, 4, 1, 3, 3, 4, 1, 3, 3, 2, 4, 0, 3, 2, 2, 0, 4, 2, 2, 2, 1, 0, 4, 4, 2, 4, 1, 1, 4, 0, 3, 2, 3, 1, 4, 1, 1, 4, 1, 4, 0, 4, 2, 1, 3, 0, 2, 3, 2, 2, 0, 2, 3, 0, 0, 4, 3, 4, 3, 2, 2, 1, 2, 3, 0, 2, 1, 2, 1, 4, 2, 0, 3, 1, 2, 0, 3, 2, 4, 1, 3, 0, 1, 3, 4, 4, 3, 0, 2, 1, 0, 2, 3, 0, 0, 2, 2, 3, 0, 1, 1, 1, 3, 1, 0, 4, 1, 4, 0, 3, 1, 2, 3, 3, 2, 1, 1, 3, 0, 1, 4, 4, 4, 4, 3, 1, 3, 0, 4, 3, 3, 0, 1, 3, 0, 4, 0, 0, 4, 2, 2, 3, 1, 2, 2, 1, 0, 1, 4, 0, 0, 2, 4, 1, 0, 4, 3, 3, 3, 2, 1, 4, 3, 1, 0, 4, 2, 1, 4, 3, 2, 3, 0, 3, 3, 4, 0, 1, 0, 0, 2, 3, 0, 2, 0, 4, 4, 3, 2, 2, 4, 3, 4, 4, 4, 2, 3, 1, 4, 3, 0, 2, 2, 3, 1, 2, 4, 4, 3, 4, 2, 4, 3, 4, 2, 0, 4, 3, 1, 4, 3, 4, 2, 4, 0, 0, 4, 4, 0, 1, 2, 2, 0, 0, 1, 2, 4, 0, 2, 1, 0, 2, 3, 4, 0, 0, 1, 1, 2, 0, 1, 1, 4, 4, 4, 2, 0, 3, 0, 4, 4, 2, 3, 0, 1, 4, 1, 0, 0, 0, 3, 4, 1, 0, 2, 2, 3, 1, 3, 3, 2, 1, 2, 3, 1, 0, 3, 4, 1, 1, 1, 4, 1, 2, 3, 4, 4, 2, 1, 3, 0, 1, 4, 4, 0, 1, 3, 0, 4, 2, 1, 4, 1, 1, 0, 3, 1, 0, 4, 1, 2, 3, 1, 4, 3, 2, 1, 0, 2, 4] pubkeycol1385 = [4, 3, 3, 4, 0, 2, 4, 0, 0, 4, 4, 4, 1, 1, 3, 4, 1, 2, 1, 2, 1, 1, 0, 1, 4, 3, 3, 4, 0, 4, 1, 1, 2, 2, 4, 0, 0, 3, 4, 0, 0, 3, 3, 3, 3, 4, 1, 0, 2, 0, 1, 1, 0, 2, 4, 0, 2, 1, 4, 2, 2, 3, 4, 1, 1, 3, 3, 4, 2, 0, 3, 3, 1, 1, 3, 0, 4, 0, 2, 1, 4, 4, 3, 2, 4, 1, 0, 0, 3, 1, 3, 1, 1, 3, 3, 3, 1, 3, 2, 1, 3, 4, 0, 3, 0, 4, 2, 2, 1, 0, 2, 1, 4, 4, 0, 4, 4, 4, 4, 3, 0, 2, 2, 4, 2, 3, 3, 0, 1, 0, 3, 3, 2, 3, 1, 1, 4, 3, 4, 3, 4, 3, 1, 0, 4, 2, 2, 4, 4, 1, 4, 3, 0, 0, 2, 1, 2, 3, 3, 2, 0, 2, 2, 2, 0, 2, 1, 1, 3, 4, 2, 2, 0, 2, 2, 3, 1, 1, 0, 2, 3, 0, 0, 0, 2, 1, 2, 3, 3, 0, 4, 0, 3, 4, 4, 4, 2, 0, 1, 2, 3, 3, 0, 3, 3, 3, 1, 1, 0, 0, 3, 3, 3, 4, 1, 1, 4, 0, 4, 2, 1, 2, 3, 1, 4, 3, 4, 2, 0, 3, 2, 1, 1, 2, 4, 0, 3, 4, 2, 0, 4, 4, 1, 3, 3, 0, 0, 2, 0, 4, 0, 2, 2, 0, 4, 2, 3, 4, 1, 1, 0, 2, 2, 3, 1, 4, 1, 4, 2, 0, 2, 2, 1, 0, 0, 2, 4, 1, 0, 0, 0, 1, 0, 3, 4, 2, 0, 4, 3, 0, 3, 4, 4, 4, 2, 3, 0, 4, 0, 4, 0, 0, 1, 4, 4, 1, 0, 3, 1, 3, 2, 4, 0, 2, 3, 4, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 4, 3, 1, 1, 1, 4, 0, 1, 1, 3, 2, 2, 2, 1, 4, 0, 0, 0, 2, 3, 0, 4, 0, 4, 0, 0, 2, 1, 2, 3, 2, 0, 1, 4, 0, 1, 1, 0, 4, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 3, 0, 2, 0, 4, 4, 1, 2, 4, 2, 3, 0, 4, 0, 0, 3, 3, 1, 2, 3] pubkeycol1386 = [0, 4, 2, 4, 0, 3, 1, 2, 2, 2, 4, 2, 4, 1, 2, 0, 4, 1, 4, 1, 1, 3, 0, 0, 2, 4, 2, 1, 0, 2, 4, 1, 3, 4, 2, 4, 3, 1, 2, 3, 3, 1, 4, 3, 2, 1, 0, 3, 2, 4, 2, 2, 4, 4, 3, 1, 3, 2, 3, 0, 0, 0, 2, 2, 4, 3, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 4, 0, 2, 2, 3, 0, 3, 4, 3, 0, 4, 1, 2, 1, 0, 4, 0, 3, 2, 2, 2, 0, 1, 2, 2, 1, 3, 2, 0, 2, 4, 3, 2, 3, 2, 3, 4, 2, 4, 1, 4, 0, 4, 4, 2, 1, 2, 0, 0, 4, 4, 0, 0, 3, 2, 3, 3, 2, 3, 0, 4, 3, 4, 0, 2, 3, 2, 4, 2, 1, 4, 4, 0, 3, 1, 3, 3, 3, 1, 4, 1, 2, 1, 3, 1, 4, 3, 1, 4, 4, 4, 1, 3, 4, 3, 1, 0, 1, 2, 3, 1, 3, 3, 4, 2, 3, 1, 2, 1, 4, 1, 4, 0, 3, 3, 3, 4, 1, 1, 1, 0, 1, 4, 1, 0, 1, 4, 1, 1, 1, 4, 4, 4, 1, 2, 1, 0, 4, 3, 0, 3, 3, 3, 2, 3, 0, 4, 4, 2, 0, 2, 2, 2, 3, 0, 2, 1, 4, 4, 4, 3, 3, 1, 2, 2, 1, 1, 0, 3, 4, 0, 3, 2, 4, 2, 3, 1, 0, 3, 0, 4, 3, 3, 1, 1, 0, 1, 1, 0, 2, 4, 0, 4, 2, 3, 0, 1, 1, 3, 3, 1, 2, 4, 3, 3, 3, 1, 4, 4, 2, 4, 2, 3, 3, 0, 2, 3, 3, 0, 3, 1, 2, 2, 2, 0, 1, 4, 2, 2, 2, 1, 3, 0, 2, 1, 4, 0, 1, 0, 3, 4, 4, 2, 1, 3, 2, 2, 3, 0, 3, 3, 2, 4, 2, 3, 3, 0, 1, 3, 2, 1, 0, 0, 2, 1, 0, 0, 3, 3, 4, 4, 4, 1, 4, 4, 1, 1, 0, 3, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 0, 4, 4, 1, 2, 3, 1, 2, 3, 2, 0, 0, 2, 0, 3, 0, 4, 1, 0, 1, 0, 3, 2, 4, 0, 1, 0, 3, 1, 0] pubkeycol1387 = [3, 1, 4, 3, 4, 0, 1, 2, 3, 0, 4, 1, 3, 1, 2, 1, 1, 1, 3, 0, 3, 3, 4, 3, 2, 0, 1, 1, 0, 0, 2, 4, 4, 0, 2, 4, 0, 1, 3, 0, 1, 4, 2, 3, 3, 1, 1, 2, 3, 3, 4, 0, 0, 4, 4, 3, 3, 1, 4, 0, 0, 4, 1, 4, 1, 2, 3, 3, 3, 4, 2, 2, 2, 1, 3, 0, 1, 3, 4, 4, 1, 1, 1, 4, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 3, 2, 3, 4, 0, 2, 4, 4, 3, 3, 0, 2, 0, 3, 0, 3, 2, 2, 2, 1, 4, 0, 0, 2, 1, 4, 2, 1, 1, 4, 4, 3, 1, 0, 4, 1, 1, 4, 1, 0, 1, 3, 1, 3, 4, 3, 2, 3, 0, 2, 4, 1, 1, 4, 3, 0, 0, 0, 2, 0, 0, 3, 2, 0, 4, 1, 2, 2, 2, 0, 2, 3, 4, 2, 3, 2, 2, 1, 0, 2, 2, 3, 4, 2, 2, 3, 3, 0, 4, 4, 2, 2, 2, 0, 3, 0, 0, 4, 2, 4, 0, 4, 1, 1, 4, 3, 2, 1, 3, 4, 0, 2, 2, 2, 4, 0, 2, 1, 0, 3, 3, 4, 2, 2, 2, 3, 2, 1, 4, 0, 2, 3, 0, 2, 0, 4, 3, 3, 3, 0, 3, 1, 2, 0, 3, 4, 3, 4, 3, 0, 2, 1, 0, 3, 2, 4, 1, 3, 2, 4, 2, 3, 2, 2, 3, 1, 4, 2, 3, 4, 3, 0, 0, 1, 2, 1, 1, 3, 1, 1, 0, 2, 2, 1, 2, 2, 4, 1, 3, 0, 1, 4, 3, 3, 4, 2, 4, 1, 1, 1, 1, 2, 3, 4, 3, 1, 4, 4, 2, 3, 1, 4, 1, 3, 2, 0, 1, 4, 4, 2, 2, 3, 1, 3, 1, 2, 4, 0, 3, 4, 4, 4, 1, 0, 2, 1, 2, 4, 2, 1, 3, 4, 0, 0, 3, 2, 1, 2, 0, 4, 1, 1, 0, 3, 3, 2, 3, 3, 2, 1, 4, 1, 1, 4, 2, 3, 4, 0, 0, 2, 3, 3, 1, 1, 0, 1, 4, 1, 1, 1, 1, 3, 4, 4, 1, 1, 0, 3, 1, 2, 4, 1, 3, 3, 2, 1, 1, 1, 1, 2, 4, 4, 4, 1, 3, 2] pubkeycol1388 = [1, 0, 0, 1, 4, 2, 0, 2, 0, 3, 4, 3, 1, 0, 4, 0, 3, 1, 4, 1, 4, 0, 1, 4, 4, 2, 2, 1, 4, 0, 0, 1, 0, 0, 2, 3, 0, 0, 1, 2, 1, 4, 4, 2, 0, 0, 0, 3, 1, 1, 1, 3, 4, 4, 0, 0, 2, 4, 4, 4, 0, 3, 2, 0, 1, 1, 1, 2, 1, 4, 4, 4, 1, 0, 0, 3, 0, 1, 0, 2, 3, 0, 4, 2, 4, 0, 3, 3, 0, 3, 0, 4, 4, 4, 1, 0, 1, 2, 2, 3, 4, 0, 2, 2, 2, 3, 1, 2, 0, 1, 0, 2, 0, 1, 4, 0, 0, 4, 2, 4, 4, 3, 2, 2, 4, 1, 1, 3, 2, 0, 2, 2, 0, 3, 3, 0, 1, 1, 1, 3, 1, 1, 4, 0, 1, 3, 3, 2, 1, 1, 2, 0, 0, 3, 4, 4, 0, 0, 2, 1, 3, 1, 2, 2, 0, 3, 1, 3, 1, 0, 3, 0, 3, 4, 1, 1, 4, 3, 0, 1, 4, 4, 2, 3, 0, 1, 0, 1, 1, 0, 3, 1, 0, 2, 4, 0, 0, 3, 4, 3, 2, 4, 1, 4, 3, 4, 0, 1, 0, 0, 2, 1, 1, 3, 3, 4, 4, 4, 1, 0, 2, 1, 4, 1, 0, 3, 4, 0, 4, 2, 4, 4, 0, 4, 4, 2, 2, 4, 0, 1, 4, 3, 4, 1, 0, 1, 4, 4, 3, 4, 4, 3, 2, 2, 2, 3, 0, 4, 1, 3, 1, 2, 4, 0, 1, 3, 1, 4, 3, 0, 3, 3, 4, 0, 3, 2, 1, 1, 1, 4, 1, 4, 0, 1, 4, 3, 3, 2, 4, 3, 1, 4, 2, 3, 2, 4, 2, 0, 4, 4, 3, 1, 1, 2, 2, 0, 4, 3, 3, 3, 1, 4, 0, 1, 0, 4, 0, 0, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 0, 3, 4, 1, 2, 3, 0, 0, 0, 1, 0, 3, 4, 4, 1, 4, 4, 2, 0, 1, 2, 2, 3, 4, 4, 1, 0, 4, 2, 4, 1, 4, 1, 1, 2, 2, 4, 3, 2, 4, 1, 1, 1, 4, 4, 3, 1, 4, 3, 0, 1, 4, 1, 3, 4, 1, 3, 0, 0, 2, 0, 4, 4, 2, 1, 1] pubkeycol1389 = [2, 3, 3, 2, 2, 4, 0, 1, 2, 3, 1, 2, 3, 0, 1, 3, 3, 0, 2, 2, 2, 1, 4, 2, 1, 2, 4, 1, 1, 4, 1, 3, 4, 3, 3, 3, 3, 0, 4, 4, 2, 4, 2, 0, 3, 2, 4, 4, 2, 4, 0, 3, 3, 1, 2, 3, 2, 0, 3, 2, 1, 0, 0, 0, 0, 2, 1, 1, 3, 1, 4, 4, 4, 2, 0, 3, 2, 2, 2, 3, 2, 3, 0, 2, 4, 0, 1, 0, 3, 1, 4, 3, 1, 0, 4, 4, 0, 2, 4, 2, 4, 3, 4, 4, 1, 0, 1, 3, 3, 2, 2, 4, 1, 3, 4, 2, 1, 0, 4, 1, 0, 0, 0, 4, 4, 4, 4, 4, 3, 2, 4, 0, 0, 1, 3, 2, 3, 0, 4, 3, 4, 1, 3, 3, 2, 3, 1, 1, 0, 2, 3, 2, 4, 0, 4, 3, 2, 2, 2, 4, 3, 4, 0, 1, 0, 3, 3, 4, 3, 0, 0, 1, 0, 4, 4, 1, 3, 1, 0, 2, 2, 0, 3, 1, 4, 0, 2, 1, 2, 4, 1, 2, 3, 0, 4, 0, 4, 0, 1, 4, 3, 2, 0, 1, 2, 2, 0, 2, 2, 1, 4, 0, 1, 4, 1, 0, 2, 4, 2, 4, 0, 2, 3, 3, 4, 2, 2, 0, 1, 0, 2, 0, 1, 2, 3, 3, 0, 1, 3, 1, 4, 1, 1, 2, 4, 0, 2, 0, 4, 0, 2, 3, 0, 0, 3, 0, 2, 3, 3, 3, 3, 1, 1, 2, 1, 0, 3, 1, 3, 2, 3, 1, 1, 0, 2, 4, 0, 4, 4, 4, 4, 0, 1, 2, 3, 0, 4, 3, 3, 3, 4, 3, 4, 0, 0, 1, 2, 4, 1, 2, 0, 1, 3, 4, 0, 4, 3, 2, 0, 0, 0, 2, 0, 0, 4, 2, 4, 3, 2, 4, 3, 4, 2, 4, 0, 0, 2, 3, 3, 1, 3, 4, 0, 0, 1, 3, 3, 4, 1, 1, 0, 2, 2, 4, 3, 2, 4, 3, 0, 3, 4, 4, 0, 2, 3, 3, 4, 1, 3, 4, 0, 1, 4, 1, 0, 3, 4, 4, 1, 2, 2, 4, 1, 0, 2, 0, 0, 1, 4, 3, 2, 3, 2, 2, 2, 1, 4, 0, 2, 4, 3, 1, 0, 4, 1, 3, 1, 2, 0, 0] pubkeycol1390 = [0, 1, 1, 3, 3, 1, 4, 3, 4, 2, 4, 3, 2, 2, 0, 1, 4, 3, 3, 0, 1, 2, 4, 4, 4, 3, 2, 3, 4, 0, 2, 0, 2, 0, 0, 2, 2, 3, 0, 4, 4, 4, 2, 0, 4, 0, 2, 1, 0, 4, 2, 3, 4, 0, 2, 3, 1, 0, 1, 3, 2, 4, 2, 4, 0, 4, 1, 4, 2, 2, 4, 0, 1, 4, 3, 4, 2, 3, 0, 0, 4, 0, 4, 4, 3, 1, 2, 0, 3, 0, 1, 4, 2, 0, 4, 4, 4, 0, 2, 3, 4, 4, 4, 1, 4, 3, 3, 2, 4, 3, 2, 2, 0, 1, 1, 0, 3, 0, 4, 3, 1, 0, 0, 2, 2, 3, 1, 2, 0, 3, 4, 1, 0, 2, 1, 2, 1, 0, 2, 4, 0, 1, 1, 4, 0, 2, 0, 3, 1, 1, 0, 4, 1, 2, 3, 1, 4, 1, 1, 2, 2, 2, 0, 2, 2, 0, 4, 1, 4, 0, 3, 0, 3, 1, 4, 1, 2, 4, 1, 0, 2, 1, 0, 0, 4, 4, 0, 3, 4, 2, 4, 3, 3, 2, 4, 2, 0, 1, 0, 3, 1, 4, 1, 0, 3, 4, 0, 1, 3, 4, 4, 2, 3, 3, 0, 4, 0, 4, 0, 3, 4, 4, 4, 0, 2, 3, 0, 2, 0, 2, 2, 1, 1, 1, 0, 3, 1, 1, 4, 3, 1, 3, 2, 2, 4, 3, 1, 0, 4, 1, 3, 0, 0, 3, 0, 4, 0, 3, 1, 0, 1, 3, 3, 4, 0, 4, 3, 4, 2, 0, 4, 4, 4, 4, 0, 1, 4, 4, 1, 0, 4, 3, 3, 3, 1, 0, 0, 2, 3, 2, 4, 0, 1, 4, 0, 0, 0, 1, 3, 4, 4, 1, 3, 2, 4, 3, 2, 0, 0, 3, 0, 4, 3, 4, 1, 4, 2, 4, 4, 1, 3, 0, 4, 1, 4, 1, 3, 0, 2, 2, 4, 4, 0, 1, 3, 0, 2, 3, 4, 2, 4, 3, 1, 3, 0, 0, 0, 3, 3, 2, 0, 4, 2, 2, 4, 2, 3, 4, 2, 0, 0, 1, 4, 0, 2, 3, 2, 4, 0, 2, 2, 1, 0, 4, 2, 0, 1, 2, 3, 4, 4, 2, 1, 2, 2, 0, 4, 4, 2, 4, 2, 0, 1, 4, 1, 1, 0, 0, 0, 4] pubkeycol1391 = [3, 2, 4, 2, 2, 3, 4, 1, 2, 0, 2, 4, 2, 1, 0, 3, 4, 3, 2, 3, 2, 0, 1, 2, 2, 4, 2, 2, 3, 3, 3, 0, 1, 4, 0, 4, 4, 4, 1, 3, 4, 0, 0, 2, 3, 2, 0, 3, 4, 0, 2, 3, 3, 3, 4, 1, 1, 3, 2, 3, 4, 2, 0, 4, 4, 1, 4, 0, 0, 4, 1, 2, 3, 4, 1, 0, 0, 2, 0, 2, 0, 3, 4, 0, 3, 1, 3, 3, 3, 4, 0, 4, 3, 1, 2, 2, 2, 3, 1, 0, 4, 1, 2, 1, 0, 1, 4, 1, 3, 2, 2, 2, 3, 4, 1, 2, 4, 0, 4, 1, 2, 0, 2, 4, 0, 2, 3, 1, 3, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 4, 4, 4, 3, 0, 3, 3, 0, 3, 2, 3, 1, 2, 0, 2, 1, 1, 4, 1, 0, 3, 1, 2, 1, 0, 3, 0, 2, 0, 2, 3, 3, 1, 0, 3, 2, 0, 4, 4, 3, 0, 0, 0, 4, 0, 2, 4, 4, 2, 1, 3, 0, 0, 0, 2, 1, 0, 1, 4, 1, 3, 1, 2, 4, 2, 1, 3, 0, 1, 1, 0, 3, 3, 0, 4, 4, 2, 3, 1, 3, 4, 3, 3, 3, 1, 1, 1, 4, 1, 2, 3, 4, 4, 0, 3, 2, 0, 3, 3, 2, 0, 1, 3, 1, 2, 0, 3, 1, 0, 3, 0, 4, 4, 3, 4, 3, 4, 0, 0, 4, 0, 0, 2, 3, 1, 1, 4, 4, 0, 3, 1, 1, 2, 1, 0, 0, 1, 0, 2, 4, 3, 2, 0, 3, 2, 1, 4, 3, 0, 3, 2, 3, 1, 3, 3, 4, 3, 3, 4, 2, 2, 1, 1, 2, 2, 3, 3, 1, 1, 2, 0, 2, 3, 3, 3, 2, 1, 2, 2, 0, 3, 1, 3, 1, 0, 4, 2, 0, 4, 3, 4, 1, 1, 0, 3, 1, 4, 4, 1, 2, 2, 4, 3, 0, 2, 0, 3, 2, 3, 2, 2, 2, 1, 0, 3, 0, 3, 0, 4, 4, 1, 4, 4, 2, 2, 4, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 4, 3, 4, 1, 3, 4, 4, 1, 4, 0, 3, 0, 3, 0, 2, 0, 2, 2, 2, 3, 2, 4, 0, 3] pubkeycol1392 = [0, 0, 3, 0, 1, 0, 1, 1, 3, 2, 3, 3, 0, 4, 3, 3, 1, 0, 4, 4, 4, 3, 1, 2, 4, 2, 4, 4, 4, 0, 4, 0, 1, 0, 2, 3, 2, 2, 1, 0, 2, 0, 4, 0, 2, 2, 1, 4, 2, 3, 0, 0, 0, 4, 1, 3, 2, 4, 3, 0, 4, 2, 3, 1, 1, 3, 2, 1, 4, 3, 2, 2, 3, 3, 0, 1, 1, 2, 0, 2, 2, 3, 0, 1, 1, 0, 2, 0, 4, 2, 1, 2, 4, 4, 3, 3, 1, 0, 0, 1, 3, 4, 4, 2, 4, 0, 3, 4, 1, 3, 3, 1, 3, 1, 0, 0, 1, 3, 2, 1, 4, 1, 1, 0, 2, 2, 1, 4, 3, 0, 1, 0, 4, 4, 4, 3, 3, 0, 2, 0, 4, 3, 0, 3, 1, 0, 3, 3, 0, 2, 4, 3, 1, 1, 2, 3, 4, 0, 4, 2, 4, 3, 4, 3, 0, 2, 3, 3, 4, 0, 2, 4, 3, 3, 1, 4, 3, 4, 4, 1, 3, 0, 4, 3, 2, 0, 0, 4, 1, 2, 2, 2, 3, 2, 0, 1, 3, 2, 3, 4, 4, 4, 3, 4, 1, 0, 1, 4, 3, 2, 0, 1, 2, 0, 3, 2, 1, 1, 0, 3, 2, 3, 4, 1, 4, 4, 1, 3, 4, 2, 4, 3, 0, 2, 1, 0, 2, 2, 3, 0, 3, 1, 4, 1, 2, 4, 2, 0, 4, 2, 0, 3, 1, 3, 2, 4, 3, 4, 0, 4, 1, 2, 0, 1, 3, 1, 4, 0, 4, 4, 0, 0, 3, 4, 3, 2, 4, 1, 4, 0, 1, 4, 1, 3, 2, 2, 0, 2, 4, 0, 3, 3, 3, 0, 2, 1, 3, 1, 1, 1, 4, 3, 0, 4, 0, 0, 0, 0, 1, 0, 1, 1, 4, 1, 4, 3, 0, 1, 4, 4, 4, 2, 2, 3, 0, 3, 3, 4, 2, 4, 0, 3, 1, 4, 1, 0, 3, 3, 2, 0, 4, 0, 4, 4, 3, 0, 4, 3, 2, 1, 0, 1, 0, 3, 2, 1, 4, 4, 3, 2, 0, 3, 1, 4, 1, 1, 2, 4, 4, 1, 2, 2, 0, 4, 2, 2, 0, 3, 0, 4, 1, 0, 4, 1, 0, 2, 4, 1, 3, 2, 1, 3, 4, 3, 3, 4, 4, 4, 4, 0] pubkeycol1393 = [2, 3, 4, 1, 2, 1, 1, 1, 0, 4, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 3, 1, 4, 0, 4, 4, 3, 2, 4, 2, 3, 3, 3, 2, 2, 4, 0, 3, 4, 1, 3, 1, 1, 3, 4, 4, 1, 0, 1, 2, 1, 3, 2, 1, 4, 3, 1, 3, 2, 2, 3, 0, 2, 2, 0, 3, 0, 0, 1, 2, 4, 0, 1, 0, 1, 1, 0, 1, 0, 2, 4, 4, 1, 0, 4, 2, 3, 1, 3, 3, 4, 1, 1, 1, 1, 3, 3, 1, 4, 0, 4, 1, 2, 2, 2, 1, 3, 3, 4, 4, 4, 3, 2, 0, 2, 2, 4, 3, 2, 0, 4, 3, 3, 3, 2, 4, 4, 2, 4, 2, 3, 2, 1, 4, 3, 4, 1, 1, 2, 4, 0, 4, 4, 0, 1, 1, 1, 2, 3, 1, 0, 3, 4, 2, 3, 3, 2, 3, 2, 1, 0, 0, 4, 3, 4, 2, 3, 0, 3, 4, 4, 2, 1, 0, 2, 4, 4, 1, 0, 1, 4, 3, 2, 0, 2, 2, 0, 2, 3, 3, 4, 2, 2, 0, 3, 1, 0, 0, 1, 4, 1, 1, 4, 1, 0, 4, 1, 3, 4, 1, 4, 1, 0, 0, 1, 4, 0, 4, 1, 0, 3, 4, 3, 2, 0, 2, 0, 3, 4, 0, 4, 0, 1, 4, 1, 2, 3, 3, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 3, 2, 0, 2, 3, 2, 3, 2, 2, 1, 3, 3, 4, 1, 4, 1, 0, 2, 0, 1, 0, 1, 3, 2, 0, 4, 3, 1, 1, 1, 4, 0, 0, 4, 1, 0, 0, 3, 4, 1, 4, 1, 2, 3, 4, 0, 2, 4, 4, 3, 3, 2, 2, 4, 3, 2, 1, 3, 0, 4, 2, 0, 2, 3, 0, 0, 0, 3, 3, 1, 1, 0, 1, 3, 0, 1, 3, 1, 4, 1, 3, 0, 4, 4, 1, 0, 1, 0, 4, 1, 0, 0, 1, 4, 4, 4, 2, 4, 0, 3, 2, 4, 0, 0, 0, 0, 1, 4, 3, 2, 2, 3, 0, 2, 4, 1, 3, 2, 0, 1, 4, 1, 2, 2, 4, 1, 2, 4, 2, 3, 4, 3, 2, 4, 2, 2, 3, 4, 0, 0, 4, 1, 2, 0, 3, 3, 2, 4, 2, 2, 0] pubkeycol1394 = [1, 1, 4, 2, 1, 4, 2, 0, 2, 4, 0, 3, 3, 4, 4, 1, 2, 1, 4, 2, 2, 4, 2, 2, 1, 4, 1, 0, 0, 3, 0, 2, 2, 3, 4, 3, 0, 0, 4, 0, 0, 2, 4, 3, 1, 3, 0, 0, 4, 0, 3, 1, 0, 3, 3, 4, 2, 2, 0, 4, 3, 1, 3, 4, 1, 1, 0, 4, 2, 3, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 4, 4, 1, 1, 1, 0, 2, 4, 3, 3, 3, 4, 4, 0, 3, 4, 4, 4, 2, 0, 3, 2, 2, 0, 3, 1, 3, 4, 0, 2, 1, 4, 1, 4, 3, 2, 4, 3, 1, 4, 0, 1, 4, 1, 4, 3, 0, 4, 0, 0, 1, 3, 3, 1, 1, 1, 4, 4, 4, 1, 4, 4, 0, 4, 0, 1, 1, 2, 1, 3, 1, 2, 1, 0, 4, 0, 0, 2, 3, 2, 2, 1, 3, 4, 1, 2, 3, 1, 0, 4, 2, 3, 4, 4, 4, 2, 1, 0, 0, 1, 0, 0, 1, 3, 0, 2, 1, 4, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 1, 4, 0, 3, 0, 4, 4, 4, 1, 1, 4, 2, 0, 1, 3, 1, 0, 3, 4, 1, 1, 2, 4, 1, 4, 0, 2, 0, 3, 2, 2, 3, 4, 4, 1, 0, 0, 1, 2, 4, 1, 2, 4, 3, 2, 4, 3, 2, 1, 3, 4, 2, 1, 4, 3, 3, 1, 4, 0, 2, 3, 1, 0, 0, 2, 0, 0, 3, 2, 2, 0, 4, 0, 2, 2, 4, 3, 4, 4, 3, 0, 0, 4, 1, 0, 0, 3, 3, 4, 2, 0, 0, 1, 4, 4, 0, 0, 4, 0, 0, 1, 2, 2, 0, 0, 4, 1, 1, 3, 4, 3, 4, 0, 0, 4, 3, 4, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 3, 4, 4, 2, 2, 4, 4, 4, 0, 3, 2, 1, 0, 0, 0, 3, 1, 2, 4, 3, 0, 3, 3, 2, 3, 0, 1, 2, 4, 4, 1, 2, 0, 0, 2, 3, 4, 2, 3, 0, 0, 1, 0, 1, 4, 4, 0, 3, 3, 4, 0, 0, 2, 0, 3, 3, 0, 1, 4, 0, 1, 2, 0, 2, 3, 2, 2, 2, 1, 4, 3, 3, 4, 0, 2] pubkeycol1395 = [4, 1, 4, 2, 2, 0, 2, 0, 4, 2, 4, 2, 2, 3, 0, 4, 4, 2, 3, 3, 3, 1, 3, 0, 2, 1, 1, 4, 0, 4, 2, 4, 4, 2, 4, 3, 0, 3, 1, 3, 4, 2, 0, 1, 1, 2, 3, 1, 1, 0, 2, 1, 4, 0, 4, 2, 0, 0, 0, 3, 0, 3, 1, 2, 1, 0, 0, 0, 4, 4, 1, 0, 1, 1, 0, 3, 3, 4, 2, 2, 2, 0, 1, 0, 3, 3, 4, 0, 2, 3, 3, 4, 1, 0, 3, 4, 1, 3, 1, 4, 1, 3, 1, 4, 2, 1, 2, 0, 4, 0, 2, 0, 0, 2, 3, 1, 4, 2, 4, 4, 2, 0, 0, 1, 2, 3, 4, 1, 4, 3, 2, 1, 1, 2, 0, 2, 1, 0, 3, 0, 3, 2, 0, 3, 2, 2, 1, 4, 2, 0, 0, 3, 3, 0, 4, 0, 4, 1, 4, 2, 2, 2, 2, 0, 4, 0, 0, 3, 4, 3, 3, 3, 0, 4, 2, 3, 0, 2, 3, 1, 2, 1, 0, 3, 4, 3, 1, 4, 2, 0, 1, 3, 2, 3, 4, 1, 2, 3, 1, 2, 3, 1, 0, 3, 3, 3, 1, 3, 1, 4, 2, 3, 2, 4, 4, 2, 3, 2, 1, 2, 2, 1, 1, 2, 3, 4, 4, 3, 0, 2, 3, 4, 1, 0, 0, 3, 2, 1, 0, 4, 0, 4, 4, 3, 1, 1, 1, 0, 2, 4, 4, 4, 1, 0, 1, 3, 0, 3, 2, 2, 1, 3, 2, 1, 2, 2, 2, 0, 3, 1, 3, 4, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 4, 2, 2, 2, 0, 2, 0, 1, 0, 4, 1, 3, 1, 1, 0, 3, 4, 3, 0, 3, 2, 4, 3, 2, 2, 4, 4, 4, 3, 2, 4, 2, 3, 2, 2, 4, 2, 4, 3, 2, 4, 4, 2, 4, 0, 0, 4, 4, 4, 0, 3, 2, 0, 0, 4, 3, 2, 1, 3, 0, 1, 2, 2, 0, 2, 4, 3, 3, 2, 1, 1, 3, 3, 2, 4, 3, 4, 4, 2, 3, 1, 2, 4, 3, 3, 3, 2, 2, 0, 1, 0, 4, 4, 4, 3, 3, 3, 2, 4, 2, 3, 1, 4, 1, 2, 3, 2, 0, 0, 4, 1, 4, 1, 3, 3, 2, 1] pubkeycol1396 = [0, 4, 3, 2, 2, 1, 0, 3, 0, 4, 2, 2, 4, 4, 4, 0, 2, 4, 2, 2, 0, 2, 3, 4, 4, 2, 3, 0, 2, 0, 3, 2, 2, 1, 3, 1, 3, 4, 1, 0, 2, 1, 4, 1, 2, 4, 2, 2, 1, 3, 4, 2, 1, 2, 0, 3, 0, 1, 3, 4, 2, 4, 0, 1, 4, 1, 2, 0, 1, 4, 3, 3, 4, 1, 2, 3, 1, 1, 3, 0, 2, 3, 4, 3, 1, 0, 3, 4, 3, 3, 4, 1, 3, 4, 2, 1, 2, 2, 1, 1, 4, 3, 1, 2, 3, 3, 2, 0, 4, 0, 3, 4, 4, 4, 4, 1, 2, 4, 3, 1, 2, 4, 4, 2, 0, 0, 4, 4, 0, 1, 4, 2, 4, 2, 2, 4, 1, 4, 3, 0, 3, 2, 2, 3, 4, 4, 1, 1, 1, 1, 0, 2, 2, 3, 0, 4, 2, 4, 4, 1, 0, 1, 1, 0, 4, 3, 3, 0, 4, 0, 0, 1, 3, 0, 4, 1, 0, 4, 0, 1, 4, 3, 0, 2, 1, 1, 2, 4, 2, 1, 3, 4, 2, 3, 3, 3, 0, 4, 0, 0, 4, 4, 1, 1, 2, 3, 4, 1, 1, 2, 0, 0, 2, 1, 3, 1, 1, 2, 1, 0, 3, 3, 3, 2, 1, 1, 1, 1, 2, 2, 1, 0, 4, 2, 1, 2, 1, 1, 2, 2, 2, 1, 3, 1, 2, 1, 2, 1, 3, 1, 3, 3, 4, 2, 3, 2, 4, 4, 2, 0, 4, 4, 0, 3, 4, 0, 1, 1, 0, 1, 4, 0, 3, 2, 3, 0, 4, 4, 2, 0, 3, 3, 4, 2, 1, 2, 1, 4, 1, 4, 3, 4, 1, 0, 2, 1, 3, 1, 2, 0, 0, 3, 2, 4, 0, 1, 1, 1, 0, 0, 1, 3, 1, 3, 1, 4, 0, 3, 3, 0, 2, 2, 2, 1, 3, 2, 3, 3, 4, 4, 1, 4, 4, 3, 1, 1, 4, 4, 2, 4, 2, 1, 3, 3, 0, 4, 0, 3, 2, 0, 1, 0, 2, 0, 3, 2, 3, 0, 1, 2, 1, 3, 0, 0, 3, 4, 3, 3, 0, 0, 4, 1, 4, 2, 2, 1, 3, 0, 1, 2, 4, 3, 0, 0, 4, 4, 0, 2, 3, 4, 3, 2, 1, 4, 0, 3, 0, 2, 0, 2] pubkeycol1397 = [0, 2, 3, 3, 0, 1, 3, 4, 3, 0, 0, 4, 1, 0, 1, 0, 4, 0, 2, 2, 1, 1, 2, 2, 2, 3, 0, 4, 2, 4, 2, 1, 4, 3, 2, 4, 4, 1, 3, 4, 3, 4, 0, 2, 0, 4, 0, 4, 3, 4, 4, 4, 0, 4, 4, 2, 1, 3, 4, 1, 3, 3, 4, 3, 3, 1, 2, 0, 4, 1, 3, 0, 4, 0, 2, 1, 3, 4, 1, 2, 2, 2, 1, 1, 1, 4, 0, 2, 0, 2, 0, 4, 0, 4, 2, 0, 0, 0, 3, 2, 2, 0, 0, 3, 3, 1, 2, 3, 4, 1, 4, 0, 4, 3, 3, 4, 4, 2, 3, 4, 3, 1, 3, 1, 4, 1, 2, 3, 0, 2, 2, 0, 2, 0, 3, 4, 3, 4, 2, 4, 2, 4, 4, 3, 3, 1, 2, 3, 1, 3, 0, 0, 3, 1, 1, 2, 1, 0, 0, 4, 3, 1, 3, 3, 1, 4, 2, 3, 3, 0, 0, 1, 4, 1, 1, 2, 2, 4, 0, 4, 1, 4, 3, 2, 1, 0, 2, 4, 1, 4, 0, 0, 4, 4, 1, 4, 4, 1, 4, 0, 4, 0, 3, 4, 1, 4, 2, 0, 3, 2, 1, 1, 0, 2, 0, 3, 4, 4, 4, 1, 4, 1, 0, 3, 2, 4, 4, 3, 1, 0, 1, 0, 4, 0, 4, 4, 1, 1, 2, 3, 0, 4, 2, 3, 1, 0, 3, 0, 2, 2, 0, 1, 0, 0, 0, 0, 4, 0, 3, 0, 3, 2, 2, 3, 1, 1, 0, 1, 0, 3, 0, 2, 3, 1, 2, 2, 3, 2, 2, 0, 3, 3, 4, 0, 0, 1, 0, 2, 3, 4, 2, 4, 3, 0, 1, 4, 0, 3, 1, 2, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 4, 2, 0, 3, 3, 4, 2, 2, 1, 1, 0, 4, 1, 1, 1, 3, 2, 4, 2, 1, 3, 4, 0, 4, 3, 4, 2, 3, 2, 1, 1, 4, 1, 0, 3, 4, 2, 2, 0, 0, 3, 0, 4, 1, 0, 1, 3, 2, 0, 1, 2, 2, 4, 0, 3, 3, 0, 1, 3, 4, 0, 1, 4, 3, 4, 1, 4, 3, 4, 2, 0, 4, 3, 3, 4, 2, 2, 0, 1, 1, 2, 2, 4, 2, 4, 0, 1, 2, 3, 3] pubkeycol1398 = [1, 2, 2, 4, 3, 0, 2, 3, 1, 0, 2, 1, 1, 1, 0, 4, 2, 2, 3, 2, 1, 0, 4, 4, 3, 0, 3, 1, 0, 4, 0, 0, 1, 0, 3, 2, 1, 0, 4, 3, 4, 3, 2, 2, 4, 1, 4, 1, 1, 1, 4, 2, 1, 0, 1, 2, 3, 2, 1, 4, 4, 1, 0, 0, 0, 3, 1, 1, 2, 3, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 3, 3, 4, 1, 3, 2, 0, 3, 1, 2, 0, 4, 0, 3, 3, 0, 3, 1, 0, 0, 1, 1, 3, 0, 2, 1, 4, 0, 0, 1, 3, 4, 4, 0, 4, 0, 3, 0, 2, 0, 2, 3, 2, 1, 3, 0, 2, 3, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 3, 1, 1, 4, 4, 0, 1, 4, 0, 2, 2, 2, 3, 0, 0, 3, 1, 2, 0, 4, 1, 0, 4, 3, 0, 0, 3, 4, 4, 1, 1, 0, 1, 1, 3, 0, 2, 2, 1, 1, 4, 1, 3, 2, 0, 1, 2, 1, 3, 3, 1, 1, 0, 3, 2, 3, 0, 2, 2, 1, 2, 4, 4, 3, 1, 2, 2, 1, 0, 3, 3, 4, 4, 3, 2, 0, 4, 0, 2, 4, 4, 3, 1, 3, 1, 4, 4, 4, 4, 1, 3, 3, 3, 1, 3, 2, 2, 2, 0, 2, 2, 4, 0, 2, 1, 0, 0, 1, 2, 0, 0, 3, 4, 0, 2, 2, 0, 4, 4, 0, 0, 1, 1, 4, 3, 1, 2, 1, 3, 4, 2, 2, 4, 1, 3, 0, 3, 4, 2, 0, 2, 3, 3, 2, 4, 0, 4, 3, 3, 0, 2, 1, 1, 4, 3, 3, 2, 2, 1, 2, 1, 1, 4, 0, 1, 2, 0, 0, 3, 0, 4, 3, 0, 0, 0, 2, 1, 4, 4, 1, 2, 1, 3, 3, 4, 0, 3, 4, 2, 2, 3, 4, 4, 0, 0, 0, 0, 2, 3, 3, 4, 0, 4, 2, 4, 4, 3, 3, 1, 4, 4, 4, 0, 4, 0, 0, 3, 4, 3, 3, 1, 3, 0, 4, 0, 3, 3, 3, 3, 3, 4, 1, 1, 0, 1, 2, 4, 1, 3, 3, 0, 4, 0, 3, 2, 3, 0, 4, 0, 2, 0, 3, 1] pubkeycol1399 = [1, 2, 1, 4, 2, 2, 1, 1, 4, 4, 2, 3, 0, 4, 1, 4, 3, 4, 2, 0, 1, 3, 0, 4, 0, 3, 0, 4, 2, 3, 2, 4, 1, 3, 1, 1, 4, 4, 4, 4, 2, 4, 2, 0, 3, 1, 2, 1, 4, 3, 1, 4, 3, 4, 4, 4, 1, 4, 4, 3, 3, 4, 4, 3, 1, 3, 0, 0, 3, 1, 0, 3, 2, 1, 1, 3, 0, 0, 4, 1, 3, 4, 2, 3, 4, 3, 1, 3, 1, 2, 4, 0, 2, 3, 3, 1, 0, 1, 0, 3, 4, 1, 0, 3, 2, 4, 0, 1, 1, 4, 0, 2, 0, 4, 3, 3, 4, 3, 1, 3, 4, 0, 3, 2, 1, 4, 4, 4, 1, 0, 2, 0, 1, 2, 4, 4, 2, 4, 4, 1, 1, 4, 1, 2, 2, 3, 4, 2, 0, 3, 0, 2, 4, 2, 2, 4, 1, 2, 3, 2, 1, 0, 0, 3, 3, 4, 1, 2, 2, 3, 3, 2, 1, 2, 2, 1, 2, 1, 4, 3, 4, 1, 3, 2, 3, 2, 3, 4, 4, 0, 0, 0, 3, 2, 0, 4, 3, 4, 1, 1, 2, 2, 0, 2, 3, 1, 3, 2, 4, 4, 2, 4, 2, 2, 1, 0, 4, 0, 4, 1, 0, 1, 4, 0, 1, 3, 2, 2, 4, 4, 3, 4, 2, 1, 2, 1, 1, 2, 4, 1, 3, 0, 3, 0, 1, 2, 1, 0, 0, 3, 0, 4, 2, 4, 0, 4, 3, 0, 0, 0, 4, 0, 3, 4, 3, 1, 0, 4, 1, 2, 2, 1, 3, 4, 3, 4, 3, 1, 1, 3, 4, 3, 3, 4, 3, 1, 1, 1, 0, 3, 3, 3, 0, 0, 3, 4, 0, 0, 0, 0, 3, 3, 0, 3, 2, 3, 4, 4, 1, 1, 4, 2, 4, 2, 1, 1, 0, 2, 4, 1, 2, 4, 4, 4, 1, 2, 2, 0, 4, 0, 0, 4, 2, 3, 1, 1, 3, 4, 3, 2, 1, 4, 2, 3, 0, 0, 1, 2, 0, 2, 0, 0, 4, 3, 0, 3, 3, 2, 1, 3, 4, 2, 1, 4, 1, 1, 0, 2, 4, 0, 2, 3, 3, 1, 4, 4, 3, 4, 0, 0, 4, 4, 2, 2, 4, 0, 4, 2, 1, 4, 1, 0, 3, 4, 1, 2, 3, 0, 0, 1] pubkeycol1400 = [4, 4, 3, 2, 2, 3, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 0, 3, 4, 4, 2, 1, 4, 1, 4, 0, 0, 1, 1, 1, 1, 2, 1, 4, 2, 0, 1, 2, 2, 2, 1, 1, 3, 0, 4, 2, 4, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 4, 2, 4, 1, 4, 2, 3, 2, 3, 2, 2, 3, 0, 2, 4, 3, 0, 0, 3, 4, 2, 2, 0, 2, 4, 0, 0, 4, 0, 3, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 4, 3, 3, 3, 4, 3, 0, 0, 3, 3, 3, 0, 3, 3, 1, 1, 3, 0, 1, 3, 3, 2, 4, 2, 1, 1, 4, 1, 2, 3, 0, 0, 0, 1, 2, 3, 3, 4, 0, 2, 3, 4, 4, 2, 0, 2, 1, 2, 1, 4, 4, 4, 1, 2, 1, 2, 0, 0, 2, 4, 1, 4, 4, 2, 3, 1, 4, 4, 4, 2, 0, 1, 3, 0, 4, 1, 0, 1, 0, 1, 3, 0, 2, 2, 2, 4, 1, 2, 4, 1, 3, 1, 1, 1, 0, 1, 3, 1, 0, 0, 1, 0, 3, 4, 2, 1, 4, 0, 0, 2, 3, 1, 4, 2, 3, 3, 4, 2, 3, 1, 0, 2, 4, 2, 3, 3, 2, 2, 4, 1, 4, 3, 3, 0, 2, 4, 2, 4, 3, 3, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 4, 3, 2, 1, 3, 2, 2, 2, 1, 2, 3, 4, 2, 3, 2, 1, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 1, 3, 2, 2, 1, 4, 3, 0, 1, 0, 2, 1, 0, 4, 3, 1, 1, 2, 0, 4, 0, 3, 4, 0, 2, 3, 0, 3, 4, 2, 3, 2, 1, 4, 1, 1, 3, 0, 0, 0, 3, 0, 0, 4, 0, 1, 1, 1, 3, 1, 4, 0, 2, 3, 4, 3, 3, 3, 2, 4, 2, 4, 2, 3, 3, 4, 2, 3, 1, 2, 4, 2, 3, 0, 3, 4, 0, 3, 0, 4, 4, 1, 4, 2, 3, 2, 0, 3, 2, 4, 1, 0, 0, 0, 2, 1, 2, 0, 4, 1, 3, 2, 3, 3, 0, 2, 3, 2, 3, 1, 0, 3, 3, 0, 4, 3, 0, 2, 0, 2, 2, 0] pubkeycol1401 = [1, 3, 0, 0, 0, 1, 0, 1, 3, 3, 0, 4, 3, 2, 4, 4, 0, 1, 2, 4, 3, 4, 3, 1, 2, 0, 0, 3, 2, 0, 2, 4, 0, 1, 2, 4, 2, 3, 0, 0, 4, 2, 1, 2, 1, 2, 4, 3, 0, 2, 3, 3, 0, 3, 2, 3, 1, 0, 4, 4, 0, 0, 4, 4, 3, 0, 3, 3, 4, 2, 1, 2, 4, 1, 4, 4, 3, 0, 0, 4, 2, 1, 4, 2, 1, 4, 1, 2, 3, 0, 4, 4, 2, 2, 2, 4, 3, 3, 3, 3, 1, 1, 2, 2, 3, 2, 2, 0, 1, 1, 1, 2, 4, 4, 4, 3, 2, 1, 4, 3, 0, 2, 4, 2, 0, 3, 1, 0, 1, 3, 4, 4, 1, 2, 4, 0, 0, 3, 0, 3, 4, 3, 4, 3, 3, 0, 4, 1, 0, 3, 2, 3, 4, 0, 0, 2, 1, 2, 3, 2, 3, 3, 0, 1, 3, 1, 4, 4, 2, 0, 2, 3, 1, 0, 0, 4, 2, 4, 1, 4, 1, 4, 2, 3, 2, 1, 1, 4, 1, 3, 2, 1, 2, 4, 3, 2, 1, 1, 2, 2, 4, 1, 2, 3, 4, 3, 2, 3, 3, 1, 0, 2, 2, 0, 1, 2, 3, 0, 0, 4, 1, 0, 2, 3, 1, 3, 4, 4, 4, 3, 4, 1, 0, 4, 2, 1, 3, 2, 0, 4, 0, 1, 4, 2, 4, 1, 0, 2, 4, 3, 1, 2, 2, 0, 2, 1, 0, 0, 4, 2, 2, 4, 3, 3, 2, 2, 3, 1, 1, 0, 0, 1, 0, 3, 4, 0, 4, 2, 2, 4, 4, 3, 4, 3, 1, 2, 4, 1, 3, 2, 3, 4, 0, 4, 0, 4, 4, 2, 4, 0, 0, 1, 4, 2, 0, 3, 3, 0, 0, 1, 3, 0, 3, 3, 3, 2, 1, 2, 1, 1, 0, 1, 1, 3, 0, 4, 0, 1, 4, 1, 4, 2, 1, 4, 1, 2, 4, 1, 2, 0, 2, 1, 3, 0, 0, 0, 1, 3, 2, 1, 3, 1, 1, 0, 4, 2, 0, 1, 3, 3, 1, 4, 0, 2, 4, 1, 2, 1, 4, 1, 2, 3, 0, 2, 2, 1, 3, 4, 0, 2, 0, 4, 1, 4, 3, 1, 0, 1, 1, 3, 2, 2, 4, 4, 0, 0, 3, 4, 4, 0] pubkeycol1402 = [4, 1, 4, 0, 4, 3, 1, 2, 4, 4, 3, 2, 1, 2, 2, 2, 4, 2, 3, 4, 1, 1, 0, 2, 3, 2, 4, 4, 4, 2, 3, 0, 0, 3, 4, 2, 1, 3, 1, 4, 0, 0, 3, 3, 0, 2, 4, 3, 1, 0, 3, 0, 2, 3, 0, 2, 4, 0, 0, 2, 0, 2, 2, 3, 2, 0, 1, 0, 3, 0, 4, 1, 3, 1, 1, 2, 2, 4, 4, 1, 0, 1, 3, 1, 0, 2, 0, 4, 1, 3, 1, 2, 4, 4, 4, 4, 3, 2, 4, 1, 0, 0, 1, 4, 2, 0, 3, 4, 0, 4, 2, 2, 2, 1, 2, 1, 0, 3, 1, 0, 0, 0, 0, 4, 1, 0, 3, 1, 1, 4, 2, 1, 4, 1, 2, 3, 1, 3, 1, 3, 3, 3, 0, 0, 2, 3, 2, 2, 2, 2, 1, 4, 3, 4, 2, 0, 2, 0, 0, 4, 4, 2, 0, 2, 4, 3, 3, 1, 0, 1, 4, 4, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 0, 3, 1, 2, 1, 1, 0, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 3, 0, 1, 1, 4, 3, 4, 3, 0, 1, 2, 3, 4, 3, 2, 2, 3, 1, 0, 3, 4, 0, 4, 4, 0, 2, 3, 2, 3, 3, 2, 2, 4, 1, 3, 1, 1, 0, 3, 3, 3, 4, 4, 1, 3, 3, 3, 2, 3, 3, 2, 2, 4, 3, 3, 2, 1, 2, 4, 0, 2, 0, 4, 3, 0, 0, 1, 2, 4, 4, 3, 3, 3, 3, 4, 2, 4, 3, 3, 4, 2, 1, 0, 2, 4, 2, 3, 0, 3, 2, 1, 0, 2, 4, 3, 4, 0, 2, 3, 3, 2, 0, 4, 4, 3, 3, 1, 2, 3, 1, 2, 0, 4, 4, 3, 3, 4, 4, 4, 4, 0, 4, 1, 4, 4, 4, 0, 2, 0, 2, 4, 2, 3, 0, 4, 2, 4, 4, 0, 3, 1, 1, 0, 1, 4, 2, 4, 4, 1, 4, 1, 0, 1, 4, 0, 2, 1, 0, 0, 0, 4, 2, 2, 3, 3, 3, 0, 2, 2, 2, 1, 0, 2, 0, 3, 3, 3, 1, 2, 4, 0, 0, 0, 1, 4, 1, 3, 2, 4, 1, 1, 4, 3, 4, 2, 4, 3, 3, 3, 0, 4] pubkeycol1403 = [4, 4, 4, 4, 3, 4, 3, 2, 4, 4, 2, 1, 3, 4, 1, 0, 1, 2, 0, 2, 1, 4, 4, 3, 3, 3, 3, 4, 2, 1, 4, 1, 3, 0, 2, 1, 3, 3, 3, 3, 1, 0, 4, 1, 1, 2, 1, 2, 1, 1, 1, 1, 3, 2, 0, 4, 1, 3, 0, 1, 3, 2, 3, 3, 2, 1, 4, 4, 4, 4, 1, 0, 0, 3, 2, 1, 0, 1, 4, 1, 0, 2, 1, 3, 3, 1, 2, 0, 1, 0, 0, 0, 3, 1, 1, 2, 0, 2, 4, 3, 3, 4, 0, 0, 3, 3, 1, 3, 1, 1, 1, 4, 4, 0, 2, 4, 2, 2, 3, 2, 3, 3, 2, 2, 2, 1, 4, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 4, 1, 4, 1, 2, 3, 2, 4, 3, 1, 3, 2, 3, 4, 0, 4, 3, 4, 0, 1, 0, 0, 1, 1, 3, 1, 2, 0, 2, 3, 4, 0, 3, 2, 3, 1, 4, 0, 0, 1, 0, 0, 2, 3, 1, 1, 1, 3, 3, 4, 4, 3, 4, 0, 0, 4, 1, 1, 1, 3, 3, 4, 3, 4, 1, 3, 3, 1, 4, 4, 0, 1, 1, 2, 4, 2, 3, 2, 1, 4, 0, 1, 1, 4, 3, 4, 4, 1, 1, 2, 2, 1, 4, 2, 2, 3, 1, 1, 1, 3, 4, 4, 2, 2, 2, 3, 0, 4, 0, 4, 1, 0, 4, 3, 1, 2, 2, 3, 4, 0, 2, 0, 1, 0, 4, 1, 1, 1, 3, 1, 4, 2, 4, 4, 1, 2, 3, 4, 4, 1, 0, 2, 1, 1, 3, 3, 2, 1, 2, 3, 3, 4, 0, 0, 1, 2, 0, 2, 4, 3, 0, 3, 3, 3, 3, 2, 1, 0, 2, 2, 1, 4, 0, 4, 2, 1, 2, 1, 0, 0, 4, 4, 0, 3, 4, 0, 1, 4, 1, 2, 1, 0, 3, 3, 4, 4, 2, 0, 3, 4, 4, 0, 1, 2, 0, 4, 0, 1, 4, 2, 4, 2, 4, 3, 2, 0, 3, 4, 2, 3, 2, 0, 2, 4, 1, 4, 4, 1, 1, 1, 3, 0, 4, 0, 4, 1, 1, 3, 0, 3, 4, 3, 1, 0, 0, 0, 1, 4, 0, 3, 2, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 4, 3] pubkeycol1404 = [4, 1, 2, 0, 4, 3, 4, 2, 4, 1, 2, 3, 1, 3, 0, 0, 3, 1, 4, 3, 4, 3, 1, 2, 1, 1, 4, 2, 1, 1, 4, 0, 4, 3, 3, 0, 2, 3, 3, 2, 4, 4, 4, 3, 4, 4, 2, 0, 1, 2, 1, 1, 2, 3, 3, 2, 3, 2, 0, 4, 1, 0, 0, 4, 2, 3, 0, 4, 0, 4, 4, 1, 1, 1, 0, 1, 2, 3, 1, 0, 1, 3, 1, 1, 4, 1, 4, 2, 4, 0, 0, 3, 4, 4, 4, 1, 1, 2, 2, 4, 3, 1, 2, 3, 3, 0, 4, 3, 3, 4, 3, 2, 1, 4, 0, 4, 3, 1, 1, 2, 0, 2, 2, 1, 2, 1, 4, 1, 3, 0, 3, 4, 1, 0, 1, 4, 4, 3, 2, 3, 0, 0, 3, 4, 0, 2, 3, 0, 0, 0, 4, 1, 3, 0, 2, 2, 4, 1, 3, 3, 3, 4, 3, 3, 0, 0, 1, 3, 4, 3, 4, 0, 4, 4, 1, 3, 0, 4, 1, 3, 3, 4, 1, 0, 2, 4, 0, 3, 1, 4, 0, 1, 0, 0, 2, 4, 4, 4, 1, 1, 2, 3, 0, 0, 2, 0, 3, 1, 3, 2, 2, 3, 2, 1, 1, 0, 2, 3, 3, 0, 3, 2, 1, 2, 4, 2, 1, 3, 1, 2, 0, 4, 1, 1, 3, 1, 4, 0, 3, 1, 3, 3, 4, 3, 0, 1, 1, 1, 3, 2, 0, 2, 3, 0, 3, 2, 3, 3, 4, 3, 1, 1, 2, 4, 3, 0, 2, 4, 2, 3, 1, 1, 3, 0, 3, 2, 0, 4, 4, 0, 2, 3, 0, 1, 4, 3, 2, 1, 4, 4, 1, 4, 0, 1, 2, 3, 0, 4, 2, 3, 3, 0, 1, 1, 4, 3, 2, 2, 0, 2, 1, 4, 4, 3, 2, 2, 3, 1, 1, 0, 2, 2, 3, 0, 3, 4, 3, 0, 2, 2, 4, 4, 1, 0, 0, 0, 3, 4, 2, 4, 1, 2, 3, 4, 4, 2, 1, 2, 3, 4, 0, 1, 3, 2, 4, 3, 4, 4, 1, 2, 4, 3, 1, 2, 0, 1, 2, 4, 1, 2, 4, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 3, 2, 4, 3, 0, 2, 1, 2, 4, 3, 2] pubkeycol1405 = [2, 4, 1, 1, 3, 2, 0, 0, 3, 4, 3, 1, 0, 1, 3, 1, 0, 4, 0, 4, 0, 4, 3, 1, 0, 0, 1, 2, 1, 3, 2, 0, 2, 1, 1, 4, 0, 3, 4, 4, 0, 4, 2, 0, 0, 3, 4, 3, 4, 2, 4, 2, 2, 0, 2, 4, 1, 1, 3, 3, 3, 4, 1, 2, 1, 2, 1, 0, 4, 4, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 1, 2, 4, 3, 3, 3, 1, 0, 2, 0, 2, 3, 2, 2, 2, 3, 4, 0, 2, 0, 2, 1, 3, 1, 4, 0, 3, 2, 1, 0, 2, 4, 4, 1, 4, 2, 4, 1, 1, 2, 0, 2, 2, 1, 4, 2, 3, 1, 0, 3, 1, 4, 4, 3, 3, 4, 4, 1, 4, 4, 2, 1, 1, 1, 4, 2, 1, 4, 2, 3, 0, 1, 2, 2, 2, 1, 0, 3, 1, 3, 3, 4, 3, 4, 0, 3, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 3, 1, 4, 0, 3, 4, 2, 4, 0, 3, 3, 1, 2, 4, 1, 1, 4, 3, 0, 4, 4, 0, 4, 1, 3, 3, 2, 2, 3, 1, 4, 3, 3, 3, 4, 4, 2, 2, 4, 1, 4, 1, 1, 4, 0, 4, 3, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 3, 4, 0, 3, 1, 2, 2, 2, 3, 4, 4, 0, 1, 0, 4, 1, 3, 3, 4, 0, 3, 4, 4, 4, 0, 0, 0, 0, 3, 1, 3, 4, 1, 1, 3, 2, 1, 4, 3, 0, 3, 0, 1, 1, 0, 3, 1, 1, 0, 3, 2, 3, 1, 1, 2, 2, 0, 4, 1, 4, 3, 1, 4, 2, 3, 2, 0, 4, 3, 1, 0, 3, 3, 1, 1, 0, 1, 3, 2, 0, 3, 3, 1, 2, 3, 1, 4, 3, 3, 2, 3, 3, 2, 4, 3, 4, 2, 3, 1, 0, 3, 4, 3, 3, 0, 3, 3, 0, 4, 3, 3, 2, 4, 2, 0, 1, 0, 2, 1, 3, 0, 4, 3, 1, 1, 0, 1, 4, 0, 3, 2, 3, 4, 3, 1, 3, 2, 4, 2, 3, 4, 3, 1, 4, 4, 2, 3, 1, 1, 4, 3, 1, 0, 1, 4, 0, 1, 4, 4, 3, 1, 2, 1] pubkeycol1406 = [3, 0, 4, 1, 0, 2, 1, 1, 2, 1, 3, 0, 2, 4, 1, 1, 1, 3, 4, 2, 2, 2, 4, 4, 2, 0, 2, 0, 1, 1, 2, 1, 4, 3, 0, 1, 0, 0, 0, 3, 4, 1, 0, 2, 3, 4, 4, 2, 1, 4, 4, 3, 1, 4, 4, 1, 4, 2, 3, 0, 3, 3, 0, 0, 1, 1, 2, 3, 0, 0, 2, 4, 1, 1, 1, 0, 1, 3, 3, 2, 2, 1, 0, 2, 0, 3, 2, 1, 4, 0, 3, 3, 1, 0, 1, 3, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 3, 0, 1, 0, 0, 3, 3, 4, 3, 3, 3, 3, 4, 1, 0, 2, 3, 3, 3, 2, 3, 4, 0, 4, 2, 0, 1, 3, 1, 3, 2, 0, 4, 4, 1, 4, 2, 2, 4, 4, 0, 1, 1, 2, 0, 3, 1, 2, 0, 4, 3, 1, 3, 1, 2, 0, 0, 1, 2, 1, 2, 3, 0, 4, 0, 2, 2, 0, 4, 0, 0, 4, 4, 1, 1, 1, 4, 0, 1, 2, 3, 0, 0, 0, 0, 2, 2, 2, 4, 1, 2, 4, 3, 1, 3, 4, 1, 2, 4, 3, 0, 3, 0, 1, 3, 1, 2, 4, 1, 3, 3, 4, 2, 1, 3, 0, 1, 2, 1, 3, 2, 2, 4, 3, 2, 0, 0, 2, 4, 0, 0, 0, 1, 2, 3, 3, 2, 0, 4, 0, 3, 1, 2, 1, 4, 4, 4, 4, 2, 3, 4, 0, 0, 4, 3, 1, 2, 1, 1, 4, 3, 4, 3, 4, 0, 3, 4, 4, 0, 1, 0, 3, 3, 1, 1, 2, 0, 3, 4, 2, 4, 4, 4, 2, 0, 4, 2, 3, 3, 3, 1, 4, 4, 1, 2, 0, 1, 1, 3, 3, 4, 0, 3, 3, 1, 0, 3, 4, 3, 1, 3, 3, 3, 1, 0, 3, 3, 3, 1, 4, 2, 3, 0, 0, 3, 2, 1, 4, 2, 2, 0, 1, 4, 1, 4, 0, 3, 3, 2, 4, 4, 3, 1, 0, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 4, 2, 0, 0, 4, 2, 1, 2, 4, 4, 3, 3, 2, 2, 4, 4, 0, 0, 4, 3, 2, 2, 2, 0, 1, 0, 2, 0, 3, 0, 2, 0, 3, 1, 0, 4, 1, 0] pubkeycol1407 = [0, 3, 1, 2, 1, 4, 1, 3, 0, 2, 4, 2, 2, 1, 0, 0, 3, 4, 1, 3, 0, 1, 0, 1, 3, 3, 3, 0, 2, 4, 2, 0, 4, 1, 3, 0, 3, 1, 0, 1, 3, 1, 1, 2, 3, 2, 4, 3, 1, 4, 3, 3, 4, 1, 0, 1, 2, 3, 4, 2, 1, 2, 4, 4, 4, 2, 1, 3, 4, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 4, 2, 3, 1, 1, 0, 2, 2, 4, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 3, 1, 2, 3, 3, 4, 2, 4, 2, 2, 3, 4, 0, 4, 4, 3, 2, 2, 4, 3, 0, 1, 0, 3, 2, 0, 1, 2, 1, 1, 3, 3, 1, 4, 0, 2, 2, 1, 4, 2, 4, 3, 4, 1, 1, 2, 3, 2, 4, 3, 0, 3, 2, 2, 2, 3, 2, 3, 1, 0, 1, 3, 4, 2, 3, 3, 4, 4, 3, 2, 4, 3, 4, 4, 2, 1, 3, 2, 1, 3, 4, 4, 0, 2, 2, 0, 3, 4, 1, 1, 1, 1, 4, 0, 3, 3, 0, 3, 4, 0, 1, 3, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 3, 3, 0, 3, 3, 1, 0, 0, 3, 0, 4, 0, 0, 2, 3, 3, 0, 2, 4, 2, 1, 3, 3, 4, 4, 3, 2, 3, 0, 1, 2, 0, 2, 1, 3, 1, 2, 2, 1, 1, 4, 1, 4, 3, 2, 3, 3, 4, 2, 3, 1, 1, 0, 1, 3, 1, 3, 4, 4, 0, 3, 1, 1, 2, 1, 4, 0, 1, 1, 2, 2, 2, 4, 4, 4, 1, 0, 2, 2, 4, 3, 1, 2, 2, 2, 4, 4, 3, 3, 0, 0, 3, 1, 4, 0, 3, 2, 4, 3, 1, 1, 0, 4, 3, 4, 4, 1, 3, 4, 3, 0, 1, 1, 1, 1, 3, 0, 2, 4, 2, 4, 0, 4, 2, 2, 0, 3, 0, 3, 4, 4, 2, 3, 4, 3, 1, 0, 4, 0, 0, 0, 1, 4, 3, 1, 3, 1, 0, 2, 3, 4, 0, 2, 4, 4, 1, 2, 3, 3, 1, 4, 4, 3, 3, 1, 2, 3, 1, 2, 1, 3, 1, 1, 4, 4, 4, 2, 2, 3, 4, 4, 2, 4, 4, 0, 4, 1] pubkeycol1408 = [4, 4, 1, 1, 0, 0, 3, 2, 2, 1, 4, 3, 4, 2, 4, 2, 4, 2, 4, 0, 2, 3, 3, 2, 1, 2, 3, 1, 1, 0, 4, 1, 3, 2, 3, 2, 0, 1, 1, 4, 1, 2, 3, 2, 4, 0, 0, 2, 3, 0, 4, 2, 2, 4, 3, 2, 2, 3, 3, 4, 0, 4, 1, 2, 1, 2, 1, 4, 1, 0, 2, 1, 3, 0, 2, 2, 3, 3, 1, 0, 4, 1, 3, 2, 1, 3, 4, 3, 3, 3, 4, 3, 3, 2, 1, 1, 3, 0, 4, 3, 4, 2, 0, 2, 1, 3, 0, 3, 2, 2, 3, 0, 2, 4, 3, 2, 1, 4, 2, 4, 3, 4, 4, 3, 2, 3, 0, 1, 1, 3, 3, 3, 3, 1, 3, 0, 4, 3, 1, 4, 2, 1, 0, 2, 4, 2, 0, 4, 0, 3, 4, 0, 1, 4, 0, 1, 1, 2, 3, 2, 2, 3, 2, 0, 2, 1, 3, 2, 0, 1, 0, 3, 3, 2, 4, 4, 3, 1, 1, 0, 3, 2, 0, 0, 4, 4, 0, 3, 0, 2, 2, 0, 0, 2, 3, 0, 2, 2, 4, 1, 0, 1, 4, 2, 1, 3, 3, 1, 3, 3, 4, 4, 4, 4, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 4, 2, 0, 3, 3, 1, 2, 0, 2, 3, 1, 1, 4, 4, 3, 2, 2, 2, 3, 4, 3, 1, 1, 0, 2, 0, 1, 3, 2, 4, 1, 3, 3, 0, 3, 0, 1, 3, 2, 3, 3, 2, 0, 4, 2, 0, 2, 2, 3, 0, 3, 2, 2, 1, 4, 3, 2, 1, 0, 3, 4, 3, 4, 3, 4, 2, 3, 0, 4, 2, 4, 2, 2, 0, 3, 1, 3, 3, 4, 1, 4, 0, 1, 2, 2, 0, 4, 2, 0, 1, 4, 4, 3, 4, 0, 4, 0, 4, 2, 1, 2, 3, 3, 0, 2, 2, 2, 4, 2, 1, 3, 1, 0, 4, 3, 1, 3, 0, 0, 1, 0, 0, 1, 3, 4, 1, 3, 3, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 4, 1, 1, 1, 3, 3, 0, 1, 2, 0, 3, 2, 0, 3, 4, 1, 2, 4, 0, 0, 2, 4, 0, 0, 1, 3, 4, 2, 2, 3, 2, 2, 3, 0, 3, 3, 1] pubkeycol1409 = [3, 2, 0, 0, 1, 2, 0, 2, 0, 4, 0, 2, 4, 1, 3, 0, 0, 0, 2, 3, 1, 3, 3, 0, 2, 0, 1, 0, 3, 2, 4, 3, 4, 4, 0, 2, 4, 3, 1, 1, 1, 0, 3, 2, 1, 1, 4, 1, 4, 3, 4, 2, 0, 4, 3, 1, 2, 0, 2, 3, 1, 2, 4, 1, 1, 2, 1, 4, 4, 2, 3, 0, 1, 2, 2, 0, 1, 4, 2, 2, 1, 2, 4, 0, 4, 3, 0, 3, 3, 4, 0, 2, 0, 3, 0, 4, 2, 3, 2, 4, 1, 4, 2, 1, 4, 2, 0, 3, 1, 4, 1, 0, 2, 4, 2, 0, 2, 1, 3, 3, 0, 1, 0, 1, 2, 4, 0, 1, 1, 1, 3, 4, 3, 1, 0, 4, 0, 1, 4, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 3, 3, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 4, 0, 3, 1, 3, 3, 4, 0, 1, 2, 3, 1, 3, 1, 3, 2, 0, 1, 1, 1, 2, 1, 3, 1, 0, 2, 4, 3, 3, 3, 1, 2, 2, 1, 3, 0, 4, 2, 2, 0, 0, 2, 0, 0, 4, 1, 0, 4, 1, 1, 0, 4, 0, 1, 3, 0, 0, 2, 1, 0, 2, 4, 4, 4, 4, 3, 2, 2, 1, 1, 0, 2, 4, 1, 2, 4, 1, 2, 2, 0, 3, 3, 0, 2, 0, 4, 2, 1, 4, 3, 3, 3, 0, 2, 1, 4, 2, 0, 2, 4, 1, 3, 0, 1, 4, 1, 4, 3, 0, 2, 0, 2, 2, 2, 0, 4, 2, 0, 1, 4, 0, 2, 0, 0, 2, 2, 0, 2, 3, 3, 3, 4, 3, 1, 0, 0, 0, 1, 3, 4, 3, 2, 4, 4, 2, 0, 0, 0, 4, 4, 2, 2, 1, 4, 0, 1, 3, 1, 3, 0, 2, 4, 2, 3, 3, 3, 4, 0, 3, 2, 3, 2, 3, 4, 1, 2, 1, 0, 3, 4, 2, 2, 0, 4, 2, 0, 3, 2, 1, 1, 1, 0, 3, 1, 2, 1, 3, 2, 1, 4, 2, 4, 1, 3, 3, 1, 2, 3, 3, 0, 3, 2, 3, 3, 4, 3, 2, 0, 1, 4, 3, 1, 4, 4, 0, 1, 4, 1, 3, 4, 2, 3, 1, 3] pubkeycol1410 = [0, 2, 1, 2, 2, 2, 3, 2, 0, 4, 1, 0, 2, 0, 2, 1, 3, 3, 0, 4, 4, 0, 3, 4, 4, 2, 3, 2, 3, 3, 4, 2, 2, 1, 3, 0, 4, 0, 0, 1, 4, 3, 4, 0, 4, 3, 3, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 4, 3, 0, 2, 2, 4, 4, 1, 3, 1, 1, 2, 3, 0, 3, 1, 4, 1, 1, 3, 4, 1, 3, 2, 2, 0, 3, 2, 4, 1, 2, 1, 0, 1, 2, 2, 2, 4, 1, 2, 4, 0, 1, 2, 4, 0, 0, 4, 2, 3, 2, 4, 0, 1, 1, 1, 1, 0, 0, 4, 4, 2, 2, 1, 4, 4, 3, 2, 3, 4, 2, 1, 4, 3, 3, 4, 3, 4, 2, 1, 1, 3, 0, 1, 1, 2, 0, 4, 0, 0, 4, 2, 4, 2, 4, 3, 4, 4, 2, 4, 2, 3, 2, 4, 1, 0, 0, 0, 4, 3, 0, 2, 4, 2, 4, 4, 3, 3, 3, 2, 0, 0, 1, 3, 2, 4, 3, 3, 0, 0, 2, 2, 0, 1, 3, 4, 4, 0, 3, 1, 1, 3, 3, 1, 3, 4, 1, 0, 0, 0, 0, 4, 0, 3, 4, 1, 2, 3, 4, 3, 1, 0, 0, 2, 1, 0, 2, 0, 3, 3, 4, 4, 3, 0, 4, 3, 4, 0, 1, 2, 0, 3, 3, 1, 4, 0, 4, 0, 3, 3, 2, 1, 3, 3, 3, 4, 4, 3, 4, 4, 1, 2, 0, 3, 1, 2, 3, 2, 2, 1, 4, 0, 2, 1, 1, 0, 4, 3, 2, 3, 2, 3, 2, 1, 3, 1, 1, 4, 4, 4, 3, 1, 2, 0, 0, 3, 1, 2, 3, 1, 3, 4, 4, 1, 2, 3, 0, 4, 4, 1, 4, 0, 2, 1, 0, 3, 4, 2, 1, 1, 0, 0, 2, 3, 1, 2, 0, 4, 4, 2, 2, 4, 0, 3, 2, 2, 1, 2, 0, 1, 4, 4, 0, 4, 3, 3, 4, 3, 2, 0, 2, 3, 2, 1, 0, 4, 3, 2, 3, 2, 2, 1, 1, 4, 2, 3, 1, 2, 0, 3, 2, 3, 0, 4, 1, 3, 1, 4, 2, 4, 3, 4, 2, 0, 1, 3, 4, 1, 3, 0, 0, 1, 0, 2, 1, 1, 3, 2, 3, 2, 1, 2] pubkeycol1411 = [0, 0, 4, 2, 0, 4, 1, 0, 1, 0, 0, 4, 1, 3, 0, 3, 0, 4, 4, 2, 4, 0, 2, 1, 1, 2, 0, 0, 1, 2, 3, 2, 0, 3, 0, 3, 2, 0, 1, 0, 4, 4, 2, 4, 3, 1, 2, 1, 0, 3, 2, 4, 1, 0, 1, 4, 0, 2, 0, 4, 4, 3, 2, 0, 2, 0, 4, 2, 0, 3, 3, 4, 2, 1, 1, 2, 4, 2, 1, 2, 1, 2, 4, 1, 4, 1, 2, 1, 1, 3, 1, 1, 0, 3, 0, 2, 2, 4, 4, 2, 1, 2, 1, 0, 3, 0, 4, 3, 1, 4, 1, 3, 2, 4, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 3, 0, 1, 2, 2, 4, 1, 4, 3, 3, 0, 4, 3, 2, 1, 2, 4, 1, 3, 1, 2, 0, 0, 2, 2, 0, 3, 0, 2, 2, 0, 4, 3, 1, 4, 4, 0, 1, 1, 0, 4, 4, 2, 3, 2, 0, 3, 1, 1, 4, 3, 4, 3, 2, 4, 1, 1, 0, 2, 2, 2, 0, 4, 1, 0, 4, 0, 2, 2, 2, 0, 3, 0, 1, 4, 3, 1, 4, 1, 3, 4, 0, 3, 2, 4, 3, 4, 3, 3, 2, 4, 4, 0, 4, 4, 4, 0, 0, 3, 1, 3, 3, 1, 1, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 2, 4, 2, 0, 2, 3, 2, 3, 2, 4, 4, 1, 1, 1, 2, 3, 1, 1, 0, 1, 3, 0, 4, 0, 1, 3, 3, 3, 2, 4, 1, 0, 4, 0, 3, 4, 3, 1, 4, 4, 3, 0, 2, 0, 1, 2, 1, 0, 1, 1, 3, 0, 2, 1, 3, 4, 1, 2, 3, 4, 4, 4, 0, 4, 4, 3, 4, 1, 3, 2, 2, 4, 4, 4, 3, 2, 0, 4, 2, 4, 4, 3, 2, 3, 2, 3, 2, 0, 2, 2, 0, 3, 3, 4, 3, 2, 4, 0, 4, 4, 1, 4, 0, 1, 3, 4, 3, 4, 2, 4, 3, 1, 2, 0, 3, 4, 2, 2, 0, 4, 3, 1, 0, 2, 4, 3, 3, 3, 0, 1, 1, 0, 4, 3, 1, 3, 3, 3, 4, 2, 1, 1, 2, 4, 1, 1, 2, 1, 4, 0, 3, 0, 3, 4, 0, 0, 4, 2, 2, 0] pubkeycol1412 = [1, 0, 4, 3, 4, 2, 1, 1, 0, 3, 0, 4, 4, 4, 3, 4, 3, 0, 2, 4, 2, 3, 1, 2, 4, 3, 0, 3, 4, 3, 2, 0, 1, 2, 2, 4, 3, 2, 4, 2, 1, 2, 4, 4, 1, 0, 3, 2, 1, 0, 1, 0, 3, 3, 2, 0, 2, 0, 0, 3, 2, 0, 0, 2, 4, 1, 1, 3, 4, 4, 2, 2, 1, 4, 4, 0, 4, 2, 0, 1, 4, 2, 3, 2, 2, 0, 1, 2, 0, 0, 2, 3, 2, 2, 0, 4, 0, 4, 1, 2, 3, 4, 4, 0, 1, 2, 1, 3, 0, 4, 3, 4, 0, 0, 4, 1, 1, 0, 2, 2, 0, 1, 2, 0, 4, 4, 1, 0, 0, 2, 2, 4, 2, 0, 2, 0, 1, 3, 4, 0, 4, 3, 3, 0, 3, 3, 0, 1, 3, 3, 3, 3, 1, 1, 2, 1, 4, 0, 1, 2, 0, 2, 3, 1, 1, 3, 1, 3, 4, 4, 1, 2, 3, 0, 0, 4, 0, 2, 4, 2, 3, 1, 3, 2, 0, 0, 4, 4, 2, 2, 4, 4, 3, 2, 3, 1, 4, 2, 0, 2, 2, 1, 2, 4, 1, 4, 0, 2, 4, 0, 2, 1, 1, 3, 4, 4, 4, 0, 1, 0, 2, 1, 4, 4, 1, 2, 2, 3, 4, 4, 2, 4, 4, 1, 4, 3, 2, 4, 3, 0, 3, 1, 4, 4, 1, 4, 3, 2, 3, 0, 4, 1, 2, 1, 3, 3, 3, 0, 0, 3, 2, 4, 3, 3, 4, 0, 3, 2, 0, 1, 4, 3, 1, 1, 0, 2, 2, 4, 4, 1, 2, 3, 1, 3, 3, 0, 0, 0, 4, 4, 0, 1, 1, 0, 3, 3, 0, 0, 2, 4, 3, 0, 3, 0, 1, 3, 3, 3, 0, 1, 0, 3, 3, 2, 1, 3, 1, 3, 4, 2, 2, 0, 0, 0, 0, 3, 3, 0, 3, 1, 3, 1, 3, 1, 3, 2, 3, 4, 4, 3, 3, 2, 1, 4, 4, 2, 3, 0, 4, 2, 1, 2, 4, 4, 1, 0, 3, 2, 0, 1, 4, 2, 1, 3, 2, 0, 3, 2, 1, 1, 2, 3, 1, 4, 2, 3, 4, 1, 1, 4, 1, 0, 1, 1, 2, 1, 1, 3, 3, 4, 4, 2, 1, 4, 3, 2, 3, 0, 4, 2] pubkeycol1413 = [3, 1, 4, 1, 2, 4, 1, 2, 2, 4, 1, 2, 3, 3, 2, 1, 1, 4, 1, 2, 3, 2, 3, 3, 3, 0, 2, 1, 0, 0, 3, 0, 4, 0, 0, 1, 4, 1, 4, 2, 3, 1, 0, 3, 4, 2, 2, 2, 3, 3, 2, 0, 2, 3, 3, 3, 1, 0, 3, 0, 3, 0, 4, 2, 4, 2, 1, 3, 0, 0, 2, 2, 4, 2, 4, 3, 1, 0, 2, 2, 4, 3, 0, 2, 3, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 3, 2, 0, 4, 0, 4, 2, 3, 1, 2, 0, 3, 1, 2, 1, 0, 1, 1, 4, 0, 1, 1, 3, 2, 4, 0, 0, 4, 4, 3, 1, 4, 3, 4, 1, 1, 3, 4, 3, 4, 0, 3, 1, 4, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 3, 1, 2, 2, 0, 1, 2, 2, 3, 1, 2, 0, 2, 0, 1, 4, 0, 2, 4, 3, 2, 0, 3, 1, 0, 2, 1, 4, 2, 1, 1, 2, 3, 1, 0, 4, 1, 1, 4, 0, 3, 3, 3, 3, 4, 1, 4, 3, 2, 4, 3, 1, 0, 1, 3, 0, 1, 1, 0, 2, 1, 4, 3, 1, 0, 2, 0, 1, 1, 0, 1, 4, 3, 4, 1, 3, 0, 0, 2, 2, 0, 3, 1, 3, 4, 0, 2, 0, 1, 0, 0, 0, 3, 4, 0, 1, 4, 1, 1, 0, 4, 4, 1, 4, 4, 4, 1, 4, 2, 4, 3, 4, 2, 0, 3, 1, 1, 4, 2, 3, 3, 4, 3, 2, 3, 2, 2, 4, 0, 4, 2, 0, 3, 3, 3, 0, 0, 2, 4, 3, 4, 3, 0, 1, 3, 2, 4, 2, 0, 1, 3, 1, 3, 3, 0, 2, 1, 3, 1, 0, 0, 4, 1, 2, 2, 4, 1, 3, 4, 0, 1, 4, 4, 1, 1, 0, 2, 4, 2, 2, 2, 2, 4, 3, 3, 4, 2, 2, 2, 2, 4, 3, 3, 2, 2, 0, 3, 2, 1, 4, 3, 0, 4, 0, 3, 1, 0, 1, 2, 0, 2, 3, 4, 0, 1, 0, 0, 0, 3, 0, 1, 4, 4, 2, 1, 2, 3, 1, 1, 1, 2, 4, 1, 2, 3, 0, 2, 1, 0, 1, 4, 3] pubkeycol1414 = [2, 3, 3, 1, 1, 1, 0, 0, 1, 4, 2, 4, 3, 4, 0, 1, 2, 3, 2, 1, 2, 1, 2, 1, 3, 4, 1, 2, 4, 3, 2, 2, 3, 0, 3, 1, 3, 0, 3, 1, 3, 4, 2, 3, 1, 4, 3, 1, 3, 2, 2, 3, 2, 0, 3, 1, 4, 2, 4, 1, 0, 4, 1, 0, 3, 1, 4, 4, 1, 1, 3, 4, 2, 3, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 3, 4, 2, 3, 0, 0, 4, 2, 0, 1, 3, 0, 1, 2, 1, 2, 4, 0, 0, 3, 3, 2, 1, 3, 3, 2, 2, 1, 0, 0, 1, 3, 0, 4, 3, 1, 4, 0, 2, 0, 0, 4, 0, 3, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 4, 2, 2, 3, 0, 2, 3, 4, 2, 3, 2, 1, 0, 3, 4, 2, 2, 4, 0, 4, 1, 4, 1, 2, 4, 1, 0, 4, 4, 3, 0, 0, 2, 0, 4, 3, 4, 0, 2, 2, 2, 3, 1, 0, 3, 2, 1, 0, 4, 1, 0, 3, 2, 3, 1, 0, 2, 1, 2, 2, 2, 2, 3, 4, 1, 2, 4, 1, 3, 4, 0, 3, 0, 1, 3, 4, 3, 3, 1, 3, 4, 2, 1, 0, 4, 0, 4, 1, 1, 2, 1, 0, 1, 0, 4, 3, 3, 0, 2, 1, 0, 4, 0, 4, 3, 0, 3, 0, 1, 4, 1, 3, 0, 4, 1, 0, 0, 2, 4, 2, 0, 1, 4, 0, 3, 4, 2, 3, 3, 0, 4, 2, 4, 0, 1, 2, 0, 4, 1, 0, 3, 1, 3, 2, 0, 4, 0, 3, 4, 0, 1, 2, 2, 4, 3, 3, 2, 3, 2, 3, 0, 3, 2, 1, 2, 4, 3, 3, 3, 2, 1, 2, 2, 4, 4, 1, 4, 0, 1, 2, 1, 3, 2, 4, 2, 4, 2, 4, 4, 4, 2, 4, 1, 1, 2, 4, 3, 3, 3, 1, 4, 0, 1, 0, 4, 3, 3, 3, 1, 3, 0, 0, 2, 1, 2, 1, 4, 0, 3, 1, 0, 4, 2, 2, 1, 2, 2, 0, 3, 2, 3, 1, 4, 4, 0, 4, 3, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 3, 4, 1, 4, 2, 4, 1, 2, 3, 1, 4, 1] pubkeycol1415 = [2, 3, 2, 0, 0, 3, 4, 2, 0, 4, 1, 3, 1, 2, 2, 2, 4, 3, 1, 2, 0, 3, 3, 2, 4, 3, 1, 4, 3, 1, 0, 3, 4, 2, 3, 1, 1, 2, 0, 4, 4, 1, 0, 1, 0, 1, 4, 2, 2, 2, 3, 3, 4, 1, 0, 1, 3, 3, 1, 3, 3, 2, 4, 2, 2, 3, 4, 1, 1, 2, 1, 4, 2, 0, 2, 1, 1, 0, 3, 3, 1, 4, 2, 3, 1, 4, 1, 2, 2, 3, 2, 1, 2, 4, 4, 1, 4, 4, 2, 2, 3, 2, 4, 0, 3, 4, 1, 1, 2, 3, 0, 4, 4, 4, 3, 2, 2, 3, 1, 1, 1, 2, 4, 2, 3, 3, 2, 1, 1, 4, 4, 2, 4, 4, 4, 3, 4, 2, 1, 1, 4, 0, 2, 1, 1, 3, 0, 4, 0, 3, 3, 0, 1, 1, 2, 0, 3, 2, 4, 1, 3, 0, 1, 4, 1, 1, 3, 2, 2, 0, 0, 2, 1, 0, 0, 1, 4, 3, 4, 0, 2, 3, 0, 3, 4, 3, 2, 1, 4, 2, 4, 2, 2, 4, 0, 1, 0, 4, 3, 2, 4, 1, 4, 2, 1, 4, 3, 2, 1, 3, 4, 3, 2, 1, 0, 2, 2, 1, 3, 3, 3, 3, 3, 2, 4, 0, 0, 1, 1, 0, 1, 2, 3, 0, 0, 0, 1, 0, 4, 0, 3, 1, 1, 2, 0, 4, 0, 4, 3, 2, 4, 1, 3, 0, 4, 2, 1, 0, 1, 4, 4, 0, 3, 1, 2, 0, 3, 0, 4, 2, 1, 1, 2, 0, 1, 3, 4, 0, 2, 3, 3, 4, 4, 2, 3, 0, 1, 0, 4, 0, 2, 3, 4, 1, 2, 2, 1, 4, 4, 1, 2, 3, 0, 2, 3, 3, 2, 2, 4, 2, 2, 4, 1, 4, 0, 0, 0, 2, 3, 0, 1, 3, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 4, 1, 2, 3, 4, 2, 4, 1, 3, 1, 3, 2, 0, 0, 4, 0, 2, 2, 2, 0, 0, 0, 4, 2, 1, 3, 0, 1, 2, 4, 1, 4, 4, 0, 2, 4, 3, 4, 4, 3, 1, 4, 2, 3, 0, 4, 1, 2, 2, 0, 2, 4, 1, 0, 0, 1, 3, 1, 0, 1, 3, 4, 1, 3, 3, 2, 4, 3] pubkeycol1416 = [2, 4, 3, 3, 1, 1, 0, 0, 0, 4, 3, 0, 1, 2, 4, 4, 3, 1, 0, 3, 2, 3, 3, 3, 4, 2, 2, 4, 3, 3, 0, 2, 2, 2, 1, 2, 4, 3, 3, 2, 4, 1, 3, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 4, 1, 4, 0, 4, 2, 2, 4, 1, 1, 3, 1, 3, 1, 1, 1, 4, 3, 1, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 0, 0, 0, 4, 0, 1, 0, 1, 0, 0, 2, 3, 4, 3, 1, 2, 0, 3, 2, 3, 1, 0, 0, 4, 1, 0, 3, 1, 1, 0, 2, 2, 2, 4, 3, 4, 3, 3, 2, 3, 3, 3, 3, 2, 1, 2, 4, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 2, 3, 4, 0, 2, 1, 0, 3, 1, 4, 4, 3, 1, 0, 1, 4, 2, 2, 1, 2, 1, 4, 4, 0, 4, 1, 1, 1, 4, 4, 4, 1, 0, 2, 1, 1, 2, 4, 0, 2, 2, 3, 1, 3, 2, 1, 3, 2, 1, 1, 4, 4, 2, 0, 2, 4, 4, 4, 1, 4, 3, 2, 2, 1, 2, 1, 3, 2, 3, 4, 1, 3, 0, 1, 0, 4, 4, 0, 2, 0, 3, 0, 2, 0, 4, 1, 4, 1, 1, 0, 1, 3, 0, 4, 0, 4, 0, 0, 1, 4, 3, 2, 1, 3, 4, 2, 4, 0, 3, 0, 4, 3, 2, 3, 2, 0, 1, 4, 1, 0, 4, 3, 2, 3, 1, 3, 0, 2, 3, 2, 2, 1, 4, 4, 3, 2, 4, 3, 2, 3, 0, 3, 1, 0, 3, 1, 1, 3, 1, 1, 1, 2, 0, 4, 3, 2, 1, 2, 1, 2, 2, 2, 4, 0, 4, 0, 3, 1, 1, 3, 1, 0, 0, 1, 3, 3, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 3, 3, 0, 3, 2, 2, 1, 1, 3, 3, 3, 3, 2, 4, 1, 1, 0, 3, 0, 4, 1, 3, 2, 0, 1, 0, 3, 1, 3, 1, 1, 1, 3, 4, 2, 2, 2, 4, 4, 0, 3, 4, 1, 4, 0, 4, 0, 3, 1, 1, 4, 2, 0, 3, 3, 1, 3, 4, 1, 2, 3, 3, 0, 4, 3, 3, 1] pubkeycol1417 = [0, 2, 0, 3, 2, 4, 0, 1, 3, 3, 2, 1, 4, 4, 1, 3, 2, 4, 3, 3, 2, 1, 4, 0, 4, 2, 3, 1, 2, 0, 3, 0, 3, 3, 0, 1, 4, 1, 1, 3, 1, 4, 4, 4, 2, 3, 0, 0, 4, 4, 1, 4, 1, 0, 2, 1, 2, 4, 2, 3, 0, 4, 4, 4, 1, 3, 0, 1, 4, 4, 3, 4, 4, 4, 3, 2, 1, 2, 3, 2, 1, 2, 2, 0, 3, 0, 2, 3, 1, 4, 2, 0, 2, 1, 2, 0, 2, 1, 3, 2, 2, 1, 4, 4, 3, 3, 4, 4, 3, 3, 0, 0, 3, 3, 3, 0, 4, 2, 1, 4, 0, 3, 0, 3, 0, 3, 4, 0, 3, 0, 4, 4, 4, 2, 1, 3, 2, 1, 1, 4, 4, 4, 3, 4, 0, 3, 0, 2, 4, 2, 4, 0, 4, 2, 1, 0, 4, 0, 3, 1, 4, 4, 3, 0, 3, 2, 2, 4, 2, 2, 3, 0, 0, 2, 1, 2, 4, 3, 1, 1, 1, 0, 0, 3, 3, 0, 0, 4, 0, 4, 4, 1, 3, 0, 1, 0, 3, 2, 4, 1, 2, 0, 4, 4, 4, 4, 3, 0, 2, 1, 2, 2, 2, 4, 4, 4, 2, 2, 3, 0, 3, 3, 2, 4, 2, 1, 0, 4, 1, 2, 0, 4, 0, 3, 0, 2, 4, 0, 4, 4, 2, 3, 3, 0, 4, 4, 1, 4, 0, 0, 0, 3, 3, 1, 1, 1, 0, 3, 2, 4, 2, 2, 2, 2, 4, 0, 0, 3, 0, 2, 1, 1, 2, 2, 3, 2, 4, 1, 1, 2, 0, 4, 1, 3, 4, 1, 0, 2, 3, 4, 4, 2, 3, 2, 0, 3, 0, 0, 4, 3, 1, 1, 2, 0, 1, 3, 0, 2, 1, 2, 4, 1, 1, 3, 0, 0, 4, 4, 3, 1, 0, 4, 3, 4, 0, 2, 4, 3, 4, 3, 1, 3, 4, 1, 3, 2, 1, 4, 2, 1, 1, 0, 3, 1, 4, 3, 1, 0, 4, 2, 3, 3, 0, 1, 0, 1, 1, 1, 0, 0, 2, 3, 2, 3, 0, 2, 0, 1, 4, 1, 1, 4, 1, 4, 1, 2, 1, 1, 0, 0, 3, 2, 3, 0, 3, 3, 4, 2, 1, 3, 0, 4, 2, 0, 1, 3, 4, 1, 4, 2] pubkeycol1418 = [0, 1, 3, 1, 2, 0, 0, 1, 4, 2, 3, 3, 2, 2, 3, 0, 1, 0, 2, 0, 4, 0, 3, 1, 1, 0, 4, 4, 1, 1, 3, 2, 3, 2, 4, 0, 1, 1, 4, 1, 4, 4, 1, 0, 1, 3, 4, 1, 2, 0, 4, 3, 3, 2, 0, 2, 0, 1, 3, 0, 1, 1, 4, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 4, 4, 0, 3, 4, 3, 1, 0, 1, 4, 4, 2, 4, 4, 0, 3, 1, 3, 4, 4, 4, 4, 2, 3, 4, 2, 4, 4, 2, 4, 3, 2, 4, 1, 3, 0, 4, 4, 0, 4, 2, 2, 2, 1, 2, 0, 1, 3, 2, 0, 0, 3, 0, 4, 2, 2, 3, 4, 2, 0, 2, 2, 2, 2, 0, 4, 4, 1, 3, 3, 4, 3, 4, 2, 1, 4, 1, 1, 4, 4, 0, 1, 1, 4, 4, 3, 1, 4, 3, 4, 4, 3, 2, 0, 3, 4, 1, 4, 0, 2, 4, 2, 1, 4, 0, 4, 2, 2, 3, 3, 1, 2, 3, 4, 0, 0, 0, 2, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 0, 2, 0, 2, 3, 4, 2, 1, 4, 3, 1, 2, 4, 2, 0, 2, 2, 0, 1, 0, 1, 1, 4, 0, 3, 4, 3, 2, 2, 3, 3, 4, 2, 2, 4, 0, 4, 0, 2, 4, 3, 2, 4, 3, 3, 1, 3, 0, 3, 1, 3, 0, 4, 4, 0, 4, 0, 3, 1, 4, 2, 0, 4, 4, 1, 0, 0, 4, 0, 2, 3, 0, 4, 1, 0, 1, 2, 1, 3, 3, 1, 4, 0, 2, 1, 4, 2, 4, 2, 1, 2, 2, 2, 3, 4, 4, 2, 1, 3, 4, 1, 3, 1, 0, 2, 3, 2, 4, 0, 1, 2, 1, 4, 0, 3, 1, 2, 3, 0, 2, 1, 2, 0, 2, 0, 4, 0, 1, 3, 1, 3, 4, 4, 2, 0, 3, 4, 2, 2, 1, 1, 4, 0, 4, 2, 3, 4, 0, 0, 1, 0, 4, 0, 2, 2, 4, 2, 3, 0, 4, 3, 3, 0, 2, 1, 3, 0, 2, 0, 2, 2, 1, 4, 2, 2, 0, 2, 4, 1, 3, 2, 3, 1, 4, 3, 4, 1, 4, 2, 2, 2, 0, 3, 1, 2, 2, 2, 3, 1] pubkeycol1419 = [2, 3, 1, 1, 2, 3, 0, 2, 3, 1, 3, 3, 0, 3, 1, 3, 2, 1, 4, 2, 0, 4, 4, 3, 4, 4, 2, 2, 2, 3, 3, 2, 1, 0, 3, 0, 0, 2, 3, 2, 3, 1, 0, 0, 4, 3, 4, 3, 1, 2, 0, 4, 1, 2, 3, 2, 3, 0, 2, 1, 1, 4, 2, 2, 3, 0, 2, 1, 1, 3, 3, 3, 1, 2, 1, 3, 2, 0, 2, 0, 2, 3, 1, 2, 2, 1, 2, 3, 3, 2, 0, 4, 2, 2, 2, 4, 1, 1, 3, 1, 3, 1, 0, 4, 2, 1, 0, 3, 2, 4, 0, 4, 0, 1, 4, 1, 4, 4, 2, 1, 2, 2, 4, 0, 1, 0, 4, 4, 1, 3, 1, 3, 2, 4, 0, 2, 4, 3, 4, 3, 3, 4, 2, 1, 4, 1, 4, 1, 3, 1, 4, 3, 1, 4, 1, 3, 1, 1, 0, 1, 4, 1, 1, 0, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 4, 2, 2, 2, 1, 3, 1, 0, 3, 4, 3, 2, 1, 4, 1, 3, 2, 3, 1, 3, 1, 2, 3, 0, 3, 1, 1, 3, 0, 0, 4, 4, 3, 3, 1, 4, 4, 3, 2, 2, 1, 4, 1, 3, 4, 4, 2, 1, 1, 4, 0, 4, 3, 2, 4, 4, 3, 1, 4, 3, 1, 2, 4, 3, 2, 0, 4, 2, 4, 2, 3, 1, 0, 4, 2, 1, 2, 4, 2, 4, 4, 0, 1, 4, 0, 0, 3, 2, 0, 3, 4, 0, 3, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 4, 4, 1, 2, 0, 2, 4, 1, 0, 4, 1, 0, 0, 0, 0, 0, 3, 1, 0, 4, 4, 1, 1, 4, 4, 2, 2, 0, 2, 2, 0, 0, 4, 3, 0, 4, 0, 3, 4, 1, 2, 4, 4, 4, 4, 0, 1, 4, 1, 2, 4, 2, 3, 4, 2, 4, 3, 2, 0, 3, 3, 3, 4, 3, 4, 2, 2, 1, 4, 4, 0, 2, 1, 2, 0, 0, 2, 4, 1, 4, 1, 4, 2, 3, 0, 0, 2, 0, 1, 2, 3, 4, 4, 1, 2, 4, 3, 3, 0, 1, 2, 4, 4, 2, 0, 0, 4, 1, 1, 3, 0, 2, 1, 1, 1, 1, 3, 0, 2, 0, 1, 2, 3] pubkeycol1420 = [4, 1, 3, 3, 0, 3, 1, 3, 0, 3, 0, 2, 1, 1, 0, 4, 3, 2, 2, 0, 3, 3, 0, 1, 1, 0, 4, 3, 1, 0, 0, 3, 3, 2, 3, 0, 2, 1, 2, 0, 4, 3, 1, 1, 0, 4, 2, 0, 1, 4, 0, 0, 4, 3, 1, 2, 3, 0, 0, 4, 2, 4, 0, 0, 2, 3, 2, 0, 3, 1, 3, 4, 3, 3, 1, 2, 4, 0, 1, 0, 3, 2, 1, 2, 4, 0, 1, 1, 3, 3, 4, 3, 0, 1, 0, 2, 3, 4, 2, 3, 4, 0, 0, 4, 1, 2, 3, 4, 0, 3, 1, 2, 2, 4, 3, 3, 1, 1, 2, 4, 0, 0, 0, 3, 1, 2, 3, 0, 2, 1, 2, 2, 3, 0, 2, 2, 3, 0, 4, 0, 2, 4, 2, 2, 1, 3, 1, 1, 0, 4, 1, 1, 0, 2, 4, 2, 0, 4, 3, 3, 1, 1, 2, 4, 1, 0, 0, 1, 1, 2, 0, 1, 1, 3, 0, 3, 2, 4, 1, 0, 4, 0, 3, 3, 4, 4, 1, 3, 4, 2, 4, 4, 4, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 4, 2, 3, 2, 3, 2, 1, 3, 3, 0, 2, 1, 1, 3, 1, 1, 0, 2, 4, 0, 3, 3, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 3, 2, 4, 1, 3, 1, 0, 0, 1, 3, 1, 3, 4, 0, 3, 4, 3, 4, 4, 1, 4, 3, 0, 0, 3, 4, 4, 4, 0, 3, 2, 3, 4, 0, 3, 3, 3, 3, 3, 3, 2, 1, 4, 1, 4, 0, 0, 1, 2, 4, 0, 2, 0, 2, 4, 3, 4, 4, 4, 1, 1, 0, 2, 4, 4, 0, 4, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 3, 0, 2, 4, 2, 1, 3, 3, 0, 4, 3, 3, 4, 4, 0, 4, 4, 0, 1, 1, 2, 4, 3, 3, 2, 2, 2, 2, 2, 3, 0, 3, 2, 3, 4, 1, 3, 3, 1, 1, 2, 0, 4, 4, 1, 1, 0, 4, 3, 1, 3, 3, 0, 1, 3, 0, 3, 2, 3, 2, 1, 4, 4, 2, 3, 1, 1, 3, 2, 0, 0, 1, 4, 4, 1, 1, 1, 3, 4, 4, 3, 3, 0, 0] pubkeycol1421 = [0, 4, 1, 0, 3, 2, 4, 4, 2, 4, 3, 3, 2, 3, 1, 4, 1, 2, 2, 0, 3, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 3, 2, 0, 1, 1, 0, 1, 1, 0, 3, 1, 2, 2, 1, 0, 2, 2, 1, 1, 4, 1, 4, 4, 4, 1, 1, 1, 2, 4, 0, 2, 1, 1, 3, 0, 4, 0, 1, 4, 1, 1, 1, 0, 0, 4, 4, 0, 0, 3, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 4, 1, 0, 0, 2, 3, 1, 4, 2, 2, 0, 4, 2, 3, 1, 4, 4, 0, 3, 3, 3, 4, 4, 2, 2, 0, 4, 0, 1, 4, 1, 4, 4, 3, 2, 4, 4, 1, 3, 0, 0, 0, 4, 1, 2, 1, 1, 4, 0, 4, 1, 4, 2, 4, 3, 0, 2, 0, 4, 4, 0, 4, 0, 1, 0, 3, 1, 4, 2, 4, 0, 2, 3, 2, 1, 4, 4, 1, 4, 4, 3, 3, 4, 1, 1, 4, 4, 3, 4, 0, 3, 1, 4, 1, 3, 3, 4, 4, 4, 1, 1, 2, 0, 4, 2, 3, 3, 4, 1, 1, 2, 1, 4, 3, 2, 4, 0, 0, 0, 0, 3, 2, 1, 2, 2, 4, 0, 2, 1, 1, 0, 1, 4, 3, 2, 1, 3, 3, 1, 0, 1, 3, 1, 2, 2, 2, 2, 0, 0, 1, 4, 4, 3, 4, 3, 3, 4, 0, 4, 3, 0, 1, 1, 0, 4, 2, 0, 1, 2, 2, 0, 3, 3, 0, 3, 2, 4, 0, 0, 4, 4, 4, 3, 1, 0, 0, 1, 4, 0, 1, 2, 0, 4, 0, 0, 1, 0, 2, 3, 4, 2, 3, 4, 1, 0, 4, 4, 0, 2, 0, 2, 3, 3, 2, 0, 3, 3, 3, 4, 4, 2, 4, 1, 2, 1, 4, 0, 1, 3, 4, 0, 2, 4, 0, 4, 1, 4, 1, 2, 3, 2, 1, 1, 1, 4, 1, 4, 3, 4, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 3, 0, 1, 3, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 0, 0, 4, 0, 0, 0, 1, 1, 1, 4, 2, 4, 3, 4, 4, 4, 1, 3, 3, 3, 4, 2, 1, 4, 2, 0, 3, 0, 4, 3] pubkeycol1422 = [1, 1, 4, 4, 3, 3, 1, 3, 0, 2, 2, 2, 3, 1, 3, 3, 0, 4, 0, 3, 2, 4, 2, 1, 0, 2, 1, 1, 4, 0, 1, 4, 4, 0, 1, 1, 0, 0, 2, 3, 2, 1, 1, 3, 3, 3, 3, 4, 4, 2, 0, 2, 3, 3, 4, 3, 2, 2, 1, 1, 0, 1, 3, 2, 0, 3, 4, 0, 0, 3, 2, 0, 3, 2, 0, 1, 0, 4, 4, 2, 0, 0, 1, 1, 3, 4, 0, 4, 3, 4, 1, 4, 4, 0, 4, 1, 2, 3, 4, 3, 4, 1, 2, 0, 1, 4, 2, 2, 1, 4, 2, 0, 0, 3, 1, 4, 1, 2, 3, 1, 2, 4, 1, 0, 3, 0, 4, 2, 2, 4, 3, 4, 0, 4, 1, 2, 0, 1, 4, 3, 1, 3, 0, 4, 2, 2, 0, 1, 0, 4, 0, 2, 2, 2, 2, 4, 0, 0, 3, 3, 2, 1, 4, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 4, 0, 1, 3, 2, 1, 2, 1, 3, 0, 4, 3, 3, 3, 0, 0, 0, 3, 3, 2, 1, 1, 0, 0, 4, 4, 1, 4, 3, 3, 1, 0, 2, 4, 3, 4, 1, 4, 1, 0, 4, 4, 3, 3, 0, 2, 0, 0, 0, 0, 4, 0, 2, 3, 1, 2, 2, 4, 4, 0, 3, 0, 1, 0, 3, 0, 1, 4, 0, 0, 0, 2, 4, 2, 2, 4, 2, 1, 2, 1, 0, 0, 4, 4, 1, 3, 3, 0, 3, 1, 3, 2, 3, 3, 4, 3, 0, 4, 0, 3, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 4, 1, 1, 0, 4, 3, 3, 2, 2, 4, 3, 2, 2, 2, 4, 4, 1, 0, 2, 1, 3, 4, 2, 0, 2, 4, 4, 3, 1, 3, 3, 4, 2, 0, 4, 1, 0, 3, 4, 2, 1, 4, 3, 3, 4, 0, 2, 1, 4, 3, 3, 0, 1, 1, 4, 0, 1, 1, 4, 3, 1, 1, 3, 1, 0, 2, 4, 0, 4, 3, 4, 0, 0, 2, 2, 1, 0, 4, 0, 1, 4, 0, 1, 0, 2, 4, 2, 1, 2, 4, 0, 4, 0, 1, 1, 3, 4, 2, 2, 1, 0, 1, 0, 3, 4, 0, 2, 4, 1, 1, 0, 2, 0, 3, 0] pubkeycol1423 = [0, 1, 0, 3, 3, 1, 4, 4, 0, 1, 1, 0, 1, 2, 1, 0, 3, 1, 2, 1, 4, 0, 0, 2, 3, 0, 0, 3, 1, 0, 0, 1, 4, 3, 0, 1, 1, 0, 1, 2, 4, 0, 1, 0, 4, 4, 1, 0, 2, 4, 4, 0, 2, 4, 4, 2, 4, 1, 3, 4, 2, 1, 0, 4, 1, 2, 3, 4, 2, 0, 1, 3, 3, 2, 3, 2, 4, 0, 2, 4, 0, 2, 4, 3, 3, 0, 1, 1, 1, 2, 1, 3, 1, 2, 3, 0, 3, 4, 0, 3, 2, 2, 3, 4, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 2, 4, 1, 1, 3, 0, 3, 0, 4, 3, 4, 0, 3, 4, 1, 0, 0, 3, 1, 0, 3, 1, 1, 0, 3, 1, 1, 0, 2, 3, 4, 1, 3, 4, 1, 2, 1, 4, 4, 4, 1, 1, 2, 1, 0, 0, 4, 0, 1, 3, 1, 1, 1, 2, 3, 3, 0, 3, 0, 0, 2, 2, 4, 1, 1, 3, 3, 4, 1, 3, 1, 2, 4, 4, 3, 0, 2, 4, 3, 4, 4, 2, 2, 1, 0, 0, 0, 2, 2, 0, 4, 1, 1, 2, 2, 4, 2, 0, 4, 4, 4, 3, 0, 3, 2, 2, 1, 2, 0, 3, 3, 3, 0, 4, 0, 4, 3, 1, 1, 2, 0, 0, 3, 0, 2, 4, 3, 3, 2, 4, 4, 2, 4, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 3, 1, 2, 3, 3, 3, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 2, 4, 2, 3, 2, 0, 4, 2, 3, 0, 3, 4, 2, 1, 3, 3, 4, 1, 4, 3, 2, 3, 3, 1, 4, 4, 2, 0, 2, 2, 0, 1, 0, 4, 4, 0, 4, 0, 4, 2, 3, 4, 3, 4, 2, 4, 1, 3, 4, 4, 0, 3, 4, 0, 2, 4, 3, 3, 1, 2, 1, 1, 3, 2, 3, 0, 4, 4, 3, 4, 3, 1, 4, 1, 3, 2, 1, 1, 1, 3, 1, 1, 1, 3, 2, 2, 2, 4, 4, 1, 3, 2, 1, 3, 2, 2, 4, 0, 0, 1, 2, 2, 2, 2, 4, 0, 3, 3, 3, 1, 1, 3, 1, 3, 0, 3, 1, 2, 2, 2, 4, 0, 2, 0] pubkeycol1424 = [2, 0, 0, 2, 3, 3, 4, 3, 0, 2, 4, 3, 1, 3, 2, 0, 4, 2, 4, 3, 2, 2, 4, 1, 1, 3, 2, 2, 2, 2, 3, 1, 2, 1, 4, 3, 4, 1, 3, 3, 4, 3, 1, 1, 4, 4, 4, 2, 0, 4, 2, 0, 3, 1, 3, 1, 4, 4, 1, 4, 3, 1, 4, 0, 4, 3, 1, 1, 2, 1, 1, 3, 0, 3, 4, 2, 2, 4, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 0, 1, 3, 2, 3, 0, 2, 1, 0, 1, 3, 2, 4, 2, 4, 3, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 0, 3, 3, 2, 2, 1, 4, 2, 4, 3, 3, 3, 3, 0, 0, 4, 0, 4, 2, 3, 1, 3, 4, 1, 0, 2, 0, 2, 3, 2, 4, 2, 1, 1, 1, 4, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 0, 1, 3, 4, 3, 0, 2, 1, 1, 0, 1, 4, 0, 4, 4, 0, 1, 0, 0, 0, 0, 3, 2, 4, 0, 0, 0, 3, 1, 3, 3, 0, 0, 0, 0, 2, 3, 0, 4, 2, 3, 4, 1, 1, 4, 0, 4, 1, 1, 3, 4, 4, 4, 4, 1, 0, 0, 1, 4, 4, 3, 4, 4, 3, 1, 3, 1, 2, 3, 1, 2, 3, 2, 2, 3, 2, 4, 4, 0, 1, 3, 1, 3, 3, 1, 1, 3, 1, 2, 0, 2, 4, 4, 1, 2, 2, 3, 2, 4, 2, 4, 1, 3, 0, 4, 1, 4, 0, 1, 2, 0, 3, 1, 1, 1, 0, 1, 0, 4, 2, 3, 4, 1, 1, 2, 4, 1, 2, 1, 1, 3, 1, 2, 4, 0, 2, 0, 1, 3, 4, 4, 3, 1, 1, 2, 3, 3, 2, 0, 1, 3, 2, 1, 3, 3, 1, 4, 0, 2, 1, 4, 3, 2, 1, 2, 2, 1, 0, 4, 1, 1, 4, 0, 4, 4, 3, 0, 0, 1, 3, 1, 3, 0, 2, 3, 3, 1, 1, 2, 3, 0, 3, 0, 2, 4, 1, 0, 1, 1, 0, 2, 1, 4, 2, 3, 3, 2, 3, 2, 2, 0, 3, 1, 1, 1, 1, 2, 2, 0, 3, 2, 4, 4, 2, 3, 2, 4, 2, 1, 0, 2, 3, 2, 0, 3, 0] pubkeycol1425 = [1, 3, 3, 2, 2, 1, 4, 1, 0, 1, 0, 1, 4, 4, 4, 0, 4, 4, 1, 2, 0, 2, 0, 4, 4, 4, 4, 4, 1, 0, 4, 4, 4, 0, 0, 4, 4, 1, 1, 1, 2, 0, 4, 4, 0, 1, 2, 1, 1, 2, 0, 4, 3, 2, 2, 3, 0, 3, 4, 3, 2, 2, 1, 1, 4, 2, 2, 3, 1, 1, 0, 3, 4, 3, 2, 1, 0, 0, 3, 2, 4, 3, 0, 2, 2, 3, 4, 1, 2, 1, 1, 2, 1, 0, 3, 2, 0, 4, 2, 0, 4, 0, 2, 0, 0, 0, 2, 3, 2, 4, 4, 3, 4, 0, 2, 2, 3, 2, 0, 1, 0, 1, 0, 3, 3, 4, 2, 4, 1, 4, 1, 1, 3, 0, 1, 1, 3, 4, 2, 3, 4, 0, 2, 0, 1, 4, 1, 0, 3, 1, 1, 1, 2, 3, 1, 1, 2, 3, 2, 2, 4, 2, 4, 3, 2, 3, 4, 0, 0, 1, 3, 4, 1, 1, 2, 1, 3, 2, 2, 2, 2, 3, 0, 3, 0, 1, 4, 4, 2, 2, 4, 4, 1, 3, 3, 4, 2, 3, 2, 4, 1, 3, 2, 1, 2, 2, 0, 4, 2, 0, 1, 4, 2, 2, 0, 1, 3, 1, 1, 1, 4, 2, 1, 4, 0, 1, 3, 3, 4, 4, 4, 2, 0, 4, 2, 4, 2, 2, 2, 2, 3, 3, 4, 1, 4, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 3, 0, 4, 0, 0, 2, 2, 0, 3, 2, 2, 2, 2, 4, 3, 2, 0, 4, 4, 3, 2, 3, 3, 2, 2, 0, 1, 1, 4, 4, 2, 1, 0, 3, 1, 4, 2, 4, 4, 2, 0, 2, 0, 4, 4, 0, 2, 0, 1, 1, 4, 2, 4, 1, 2, 1, 1, 2, 1, 2, 2, 4, 4, 0, 1, 0, 4, 0, 2, 0, 3, 1, 2, 4, 4, 1, 1, 4, 3, 0, 0, 4, 1, 4, 3, 3, 1, 0, 0, 1, 0, 0, 2, 1, 0, 4, 4, 1, 3, 1, 3, 0, 4, 4, 2, 0, 3, 1, 4, 1, 4, 2, 0, 4, 1, 3, 4, 3, 1, 1, 1, 4, 0, 4, 1, 1, 0, 1, 2, 4, 0, 0, 0, 2, 1, 0, 0, 1, 4, 4] pubkeycol1426 = [4, 1, 2, 0, 2, 0, 4, 4, 0, 2, 0, 4, 4, 3, 4, 3, 4, 4, 1, 4, 0, 1, 0, 2, 4, 1, 2, 1, 0, 1, 4, 1, 1, 3, 3, 1, 1, 4, 4, 2, 3, 2, 1, 1, 3, 1, 2, 0, 1, 2, 2, 3, 3, 4, 3, 4, 0, 3, 3, 2, 4, 4, 4, 3, 3, 3, 0, 3, 4, 1, 4, 3, 1, 0, 2, 3, 0, 0, 2, 2, 0, 2, 2, 0, 4, 1, 2, 3, 4, 1, 4, 2, 1, 0, 0, 3, 1, 2, 3, 4, 3, 1, 1, 1, 4, 4, 1, 1, 4, 0, 0, 2, 4, 1, 1, 3, 0, 3, 1, 0, 2, 0, 2, 2, 3, 4, 0, 3, 1, 4, 3, 4, 2, 1, 1, 2, 0, 3, 0, 3, 1, 1, 4, 4, 0, 4, 2, 3, 4, 3, 3, 3, 0, 1, 1, 0, 4, 1, 3, 4, 0, 2, 2, 3, 1, 0, 4, 3, 1, 0, 2, 3, 3, 1, 2, 0, 0, 4, 0, 4, 3, 4, 1, 4, 4, 2, 4, 2, 0, 1, 1, 3, 3, 0, 3, 3, 3, 0, 4, 4, 2, 4, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 4, 4, 3, 1, 3, 2, 4, 1, 3, 2, 2, 1, 4, 4, 2, 3, 4, 0, 4, 3, 2, 1, 4, 4, 1, 4, 0, 2, 4, 4, 1, 3, 3, 0, 2, 0, 2, 4, 4, 1, 0, 1, 3, 2, 1, 3, 3, 0, 4, 0, 2, 3, 2, 0, 3, 0, 3, 2, 2, 2, 4, 0, 0, 4, 1, 1, 3, 2, 3, 1, 2, 4, 2, 0, 3, 4, 3, 2, 0, 3, 3, 2, 3, 3, 0, 0, 2, 2, 0, 1, 4, 3, 1, 0, 0, 2, 4, 2, 3, 0, 0, 4, 0, 0, 2, 1, 3, 4, 2, 0, 4, 2, 1, 4, 3, 0, 1, 1, 2, 1, 0, 3, 2, 2, 1, 3, 0, 0, 0, 3, 4, 4, 2, 2, 1, 2, 1, 4, 0, 1, 1, 4, 1, 0, 4, 0, 2, 2, 0, 3, 3, 3, 4, 2, 3, 0, 3, 2, 2, 1, 2, 1, 0, 4, 0, 2, 1, 4, 3, 3, 3, 1, 0, 1, 3, 3, 4, 4, 3, 0, 4, 0, 4, 1, 1, 2, 3, 2] pubkeycol1427 = [0, 4, 3, 4, 0, 2, 3, 4, 2, 0, 0, 4, 1, 4, 3, 3, 0, 3, 2, 1, 4, 3, 0, 1, 1, 3, 0, 0, 0, 4, 4, 3, 1, 3, 1, 1, 0, 4, 2, 3, 0, 4, 0, 3, 0, 1, 2, 3, 4, 1, 1, 1, 2, 2, 3, 0, 3, 3, 1, 1, 1, 0, 2, 4, 2, 4, 0, 1, 3, 2, 0, 1, 1, 2, 3, 4, 3, 3, 2, 2, 1, 1, 3, 4, 4, 2, 1, 4, 2, 1, 1, 0, 3, 2, 3, 3, 0, 4, 4, 4, 3, 3, 3, 1, 1, 3, 1, 3, 3, 1, 2, 4, 1, 4, 3, 1, 0, 3, 2, 3, 0, 2, 1, 3, 3, 0, 0, 1, 3, 0, 1, 0, 4, 1, 2, 4, 0, 4, 0, 4, 0, 2, 3, 1, 0, 4, 3, 2, 1, 3, 4, 1, 0, 1, 3, 0, 4, 4, 2, 0, 0, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 1, 0, 2, 2, 0, 0, 4, 1, 4, 3, 4, 2, 0, 3, 1, 2, 3, 3, 3, 2, 3, 4, 4, 4, 2, 4, 4, 3, 1, 0, 1, 2, 3, 3, 0, 4, 0, 3, 4, 1, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 4, 2, 1, 1, 3, 3, 1, 3, 1, 4, 2, 2, 1, 0, 3, 0, 3, 0, 4, 3, 2, 1, 0, 4, 4, 1, 2, 1, 4, 0, 2, 0, 3, 2, 1, 2, 3, 2, 0, 2, 4, 1, 1, 3, 3, 0, 4, 2, 1, 1, 3, 3, 3, 2, 4, 4, 1, 2, 0, 3, 4, 0, 1, 0, 2, 3, 3, 4, 1, 0, 0, 3, 3, 1, 0, 4, 1, 2, 3, 4, 2, 4, 0, 4, 3, 3, 3, 2, 3, 1, 2, 1, 3, 3, 2, 0, 3, 2, 0, 4, 0, 1, 2, 2, 4, 2, 3, 3, 1, 3, 0, 1, 3, 4, 2, 4, 2, 3, 3, 4, 4, 3, 1, 3, 3, 2, 4, 1, 4, 3, 2, 2, 4, 0, 1, 1, 3, 3, 4, 1, 3, 0, 0, 0, 3, 3, 0, 2, 0, 2, 2, 4, 1, 0, 1, 3, 1, 2, 2, 0, 1, 4, 2, 0, 0, 4, 1, 4, 4, 4, 3, 1, 0, 1, 3] pubkeycol1428 = [1, 4, 0, 0, 1, 3, 0, 4, 1, 1, 3, 0, 1, 4, 1, 1, 4, 2, 4, 2, 2, 3, 1, 1, 2, 3, 0, 2, 0, 0, 1, 3, 2, 3, 1, 1, 1, 0, 0, 1, 0, 3, 0, 1, 1, 4, 3, 1, 4, 4, 2, 1, 2, 3, 0, 3, 2, 3, 4, 0, 1, 3, 3, 0, 4, 1, 2, 4, 3, 0, 0, 3, 3, 3, 3, 0, 4, 0, 0, 3, 2, 4, 4, 1, 2, 4, 4, 0, 0, 4, 4, 3, 3, 3, 1, 4, 4, 4, 2, 0, 1, 3, 4, 3, 0, 2, 2, 3, 1, 0, 0, 4, 0, 4, 2, 4, 1, 4, 4, 0, 2, 4, 2, 1, 2, 2, 1, 1, 0, 1, 2, 4, 1, 4, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 4, 4, 4, 0, 4, 3, 2, 0, 4, 0, 2, 2, 3, 2, 0, 2, 2, 3, 4, 2, 4, 0, 3, 3, 4, 4, 1, 1, 4, 3, 1, 0, 3, 4, 2, 4, 0, 4, 4, 1, 0, 3, 1, 0, 3, 0, 1, 4, 2, 3, 2, 0, 2, 0, 4, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, 3, 4, 4, 4, 3, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 1, 1, 2, 0, 0, 2, 2, 3, 1, 3, 1, 1, 0, 2, 4, 4, 4, 3, 3, 3, 0, 2, 2, 0, 4, 2, 2, 4, 4, 3, 0, 3, 2, 4, 1, 2, 2, 3, 2, 1, 3, 0, 2, 4, 2, 3, 3, 3, 1, 0, 2, 3, 4, 1, 4, 4, 3, 1, 0, 4, 3, 3, 1, 1, 0, 0, 4, 2, 1, 4, 1, 0, 3, 3, 2, 2, 4, 0, 2, 0, 4, 4, 0, 0, 2, 3, 2, 4, 0, 4, 4, 1, 2, 4, 2, 2, 0, 2, 2, 3, 4, 1, 1, 3, 3, 4, 0, 3, 4, 3, 3, 1, 0, 4, 2, 4, 4, 1, 4, 2, 3, 2, 1, 0, 1, 4, 4, 2, 0, 2, 2, 4, 4, 2, 4, 0, 4, 0, 3, 2, 3, 3, 1, 3, 1, 1, 4, 2, 3, 0, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 0, 3, 4, 1, 4, 2, 3, 0, 1, 4, 4, 0, 3, 3, 0] pubkeycol1429 = [2, 1, 2, 0, 4, 3, 2, 1, 1, 1, 2, 3, 1, 4, 1, 4, 2, 2, 4, 3, 0, 0, 3, 2, 3, 3, 3, 3, 4, 0, 4, 2, 2, 4, 0, 4, 0, 2, 0, 3, 4, 4, 1, 3, 2, 4, 4, 0, 4, 0, 3, 1, 0, 2, 1, 4, 2, 3, 1, 4, 3, 3, 0, 3, 4, 0, 2, 2, 4, 2, 1, 3, 2, 4, 2, 4, 2, 2, 3, 3, 4, 4, 4, 4, 2, 0, 2, 4, 1, 2, 1, 1, 3, 1, 2, 2, 2, 2, 0, 4, 2, 2, 2, 2, 2, 3, 1, 0, 4, 1, 0, 2, 2, 0, 3, 3, 4, 3, 2, 3, 2, 3, 0, 4, 2, 0, 1, 1, 2, 2, 4, 3, 3, 0, 2, 0, 0, 1, 4, 1, 0, 2, 2, 4, 0, 3, 3, 1, 4, 0, 4, 4, 1, 3, 4, 3, 3, 2, 1, 3, 2, 1, 1, 3, 2, 3, 0, 4, 2, 2, 3, 1, 3, 3, 1, 3, 4, 3, 4, 0, 2, 1, 4, 4, 2, 2, 2, 2, 1, 4, 0, 2, 2, 2, 3, 1, 1, 3, 0, 2, 3, 4, 4, 4, 0, 1, 2, 4, 1, 4, 3, 1, 0, 4, 0, 2, 4, 2, 0, 4, 0, 0, 4, 2, 0, 2, 0, 3, 0, 0, 3, 0, 2, 2, 4, 1, 3, 4, 3, 4, 4, 1, 0, 1, 4, 3, 4, 4, 1, 2, 1, 1, 1, 3, 4, 4, 0, 0, 3, 1, 2, 0, 4, 2, 3, 0, 4, 3, 4, 3, 0, 0, 3, 1, 1, 2, 1, 0, 2, 3, 0, 2, 4, 2, 3, 4, 2, 3, 1, 2, 1, 1, 4, 1, 0, 4, 1, 4, 4, 4, 1, 3, 4, 0, 1, 0, 3, 0, 4, 0, 4, 0, 1, 0, 0, 3, 2, 4, 1, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 2, 2, 4, 2, 1, 3, 4, 1, 2, 1, 0, 2, 3, 0, 4, 4, 3, 3, 0, 4, 3, 0, 1, 2, 1, 0, 3, 3, 0, 0, 3, 3, 4, 3, 3, 0, 3, 1, 2, 0, 0, 2, 0, 1, 1, 4, 0, 1, 0, 4, 0, 3, 1, 4, 3, 0, 3, 1, 0, 2, 0, 4, 4, 2, 1, 3, 3, 4, 0, 4, 4] pubkeycol1430 = [0, 3, 2, 3, 1, 1, 2, 0, 1, 1, 2, 4, 0, 3, 0, 4, 0, 4, 4, 1, 3, 1, 3, 1, 3, 3, 1, 0, 4, 3, 0, 2, 1, 1, 3, 0, 3, 1, 0, 1, 0, 4, 1, 2, 2, 1, 0, 3, 3, 3, 3, 4, 0, 4, 0, 3, 3, 2, 4, 2, 3, 2, 1, 1, 4, 1, 2, 3, 1, 4, 4, 2, 4, 4, 4, 3, 2, 2, 4, 1, 4, 0, 1, 4, 3, 3, 1, 0, 1, 1, 0, 2, 1, 4, 2, 2, 1, 4, 0, 1, 2, 4, 4, 3, 1, 0, 2, 1, 4, 4, 0, 1, 1, 3, 4, 0, 1, 1, 2, 4, 0, 1, 3, 3, 4, 3, 3, 3, 0, 0, 3, 2, 1, 0, 2, 2, 3, 1, 2, 2, 3, 2, 3, 4, 1, 0, 0, 1, 3, 2, 2, 1, 0, 2, 3, 0, 4, 4, 0, 3, 1, 3, 4, 2, 1, 3, 0, 1, 1, 3, 0, 0, 1, 1, 2, 2, 0, 2, 3, 0, 0, 0, 3, 4, 2, 3, 2, 4, 1, 2, 3, 0, 1, 3, 2, 2, 3, 0, 3, 4, 1, 3, 1, 4, 1, 0, 1, 4, 1, 2, 0, 2, 4, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 4, 0, 3, 1, 4, 2, 0, 3, 1, 3, 0, 1, 3, 4, 1, 0, 1, 1, 3, 1, 3, 3, 4, 4, 3, 3, 2, 4, 2, 3, 1, 1, 1, 3, 1, 1, 3, 2, 2, 3, 3, 4, 1, 0, 2, 2, 0, 4, 1, 3, 0, 0, 3, 3, 1, 0, 0, 3, 3, 3, 0, 1, 4, 0, 1, 4, 3, 2, 1, 1, 2, 3, 2, 4, 0, 2, 1, 0, 4, 4, 1, 1, 0, 4, 0, 0, 1, 4, 0, 2, 1, 2, 2, 3, 2, 1, 3, 2, 2, 2, 0, 3, 2, 3, 4, 3, 4, 3, 2, 3, 1, 0, 4, 1, 1, 2, 1, 4, 3, 2, 1, 0, 1, 2, 0, 3, 2, 4, 1, 3, 3, 4, 0, 2, 4, 1, 4, 2, 4, 3, 1, 1, 1, 2, 0, 0, 4, 0, 1, 2, 1, 3, 2, 2, 4, 3, 1, 3, 2, 2, 4, 1, 2, 3, 3, 1, 0, 2, 1, 3, 4, 1, 3, 4, 0, 3, 1] pubkeycol1431 = [1, 4, 0, 3, 1, 4, 2, 3, 0, 0, 1, 2, 1, 3, 1, 4, 4, 1, 0, 4, 1, 0, 1, 1, 4, 3, 0, 4, 1, 2, 4, 1, 4, 0, 0, 1, 1, 2, 2, 3, 4, 2, 0, 4, 1, 0, 4, 0, 3, 2, 3, 2, 3, 4, 0, 4, 3, 3, 1, 0, 0, 4, 3, 1, 2, 4, 3, 1, 4, 1, 2, 3, 4, 4, 3, 3, 2, 0, 0, 1, 4, 3, 4, 3, 1, 3, 4, 1, 4, 0, 1, 4, 1, 3, 1, 0, 3, 4, 4, 4, 1, 3, 3, 2, 4, 0, 4, 0, 3, 0, 3, 0, 4, 2, 0, 4, 1, 3, 1, 4, 4, 2, 3, 1, 0, 2, 3, 3, 3, 3, 0, 2, 3, 0, 1, 0, 1, 1, 4, 3, 1, 2, 3, 4, 1, 0, 3, 1, 0, 3, 2, 4, 3, 4, 3, 2, 0, 3, 3, 0, 4, 0, 3, 1, 0, 2, 0, 2, 3, 0, 1, 1, 4, 0, 0, 0, 1, 2, 4, 3, 1, 0, 3, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 3, 0, 4, 3, 3, 3, 1, 2, 4, 4, 0, 4, 1, 3, 0, 0, 4, 1, 0, 0, 2, 1, 3, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 3, 4, 0, 2, 0, 3, 0, 2, 2, 4, 0, 0, 0, 3, 4, 3, 3, 3, 0, 4, 1, 1, 2, 2, 2, 2, 0, 3, 2, 2, 0, 0, 4, 1, 4, 0, 1, 0, 3, 4, 4, 3, 4, 1, 3, 3, 1, 2, 4, 1, 0, 1, 2, 2, 3, 4, 3, 2, 4, 2, 0, 4, 3, 0, 4, 0, 0, 1, 2, 3, 2, 2, 1, 3, 1, 0, 3, 2, 3, 1, 4, 4, 3, 2, 2, 0, 2, 3, 1, 2, 2, 1, 3, 2, 0, 2, 1, 1, 0, 4, 1, 3, 4, 0, 1, 0, 2, 1, 0, 0, 4, 3, 0, 0, 2, 1, 4, 2, 2, 4, 4, 4, 0, 0, 0, 3, 3, 2, 0, 2, 4, 3, 3, 2, 4, 3, 1, 4, 2, 0, 2, 3, 2, 0, 3, 1, 4, 2, 0, 2, 2, 4, 4, 4, 1, 2, 2, 3, 0, 3, 2, 1, 1, 4] pubkeycol1432 = [1, 4, 2, 0, 2, 1, 3, 3, 4, 2, 2, 2, 2, 1, 1, 1, 3, 0, 2, 1, 2, 3, 3, 0, 3, 0, 0, 3, 3, 1, 4, 0, 2, 2, 1, 4, 0, 0, 2, 4, 2, 0, 0, 2, 3, 1, 3, 3, 2, 3, 4, 0, 2, 1, 2, 4, 0, 3, 4, 3, 0, 2, 1, 0, 4, 0, 3, 4, 1, 3, 3, 3, 0, 0, 3, 4, 1, 4, 3, 2, 3, 3, 2, 4, 2, 4, 2, 2, 4, 0, 4, 3, 0, 0, 0, 2, 0, 0, 4, 4, 0, 1, 0, 4, 2, 2, 3, 1, 0, 3, 4, 3, 2, 0, 3, 0, 1, 2, 1, 4, 0, 4, 1, 1, 3, 0, 0, 1, 2, 4, 1, 2, 0, 3, 2, 0, 0, 3, 2, 2, 4, 3, 2, 4, 1, 1, 3, 0, 3, 3, 1, 3, 3, 0, 0, 4, 4, 1, 1, 2, 4, 1, 3, 3, 2, 1, 4, 1, 1, 2, 2, 3, 0, 0, 4, 2, 2, 1, 2, 2, 4, 3, 1, 1, 3, 4, 0, 4, 4, 1, 0, 1, 2, 0, 1, 2, 3, 1, 1, 4, 0, 3, 0, 0, 0, 4, 4, 1, 3, 0, 0, 3, 0, 3, 2, 1, 1, 0, 3, 0, 3, 1, 1, 2, 1, 4, 3, 4, 0, 0, 2, 1, 0, 2, 0, 3, 0, 3, 0, 2, 2, 2, 2, 1, 0, 0, 4, 4, 2, 3, 3, 2, 1, 3, 3, 1, 0, 1, 2, 0, 1, 4, 2, 1, 1, 2, 2, 4, 3, 1, 3, 2, 1, 4, 3, 2, 2, 0, 0, 1, 2, 0, 1, 2, 3, 4, 1, 3, 3, 0, 3, 2, 4, 0, 3, 4, 1, 1, 2, 2, 1, 4, 1, 3, 3, 4, 2, 4, 3, 0, 0, 1, 2, 1, 1, 1, 4, 1, 0, 4, 0, 3, 1, 3, 4, 0, 0, 1, 0, 3, 4, 2, 0, 3, 3, 2, 4, 2, 1, 0, 1, 0, 0, 4, 2, 4, 2, 3, 3, 2, 0, 3, 4, 3, 3, 0, 3, 1, 2, 4, 3, 2, 2, 2, 4, 3, 2, 1, 2, 0, 4, 1, 4, 1, 2, 1, 0, 1, 1, 2, 3, 3, 3, 4, 3, 4, 2, 0, 0, 3, 3, 4, 3, 0, 4, 1, 4, 1, 1, 0] pubkeycol1433 = [1, 4, 4, 1, 4, 2, 0, 3, 3, 1, 4, 0, 4, 2, 0, 3, 2, 4, 0, 0, 3, 2, 4, 0, 1, 4, 0, 4, 2, 1, 2, 3, 1, 4, 3, 2, 1, 4, 0, 2, 2, 0, 1, 4, 2, 0, 2, 4, 4, 1, 2, 2, 0, 4, 0, 2, 1, 1, 2, 1, 0, 1, 4, 4, 4, 2, 1, 1, 2, 1, 2, 4, 3, 1, 2, 1, 4, 0, 3, 3, 1, 3, 0, 1, 2, 4, 3, 0, 1, 0, 4, 0, 2, 1, 0, 4, 0, 2, 3, 1, 3, 4, 0, 1, 4, 4, 4, 2, 3, 0, 0, 1, 0, 3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 0, 3, 1, 2, 4, 2, 0, 3, 2, 3, 1, 4, 1, 4, 3, 1, 1, 1, 2, 3, 1, 4, 3, 2, 2, 1, 3, 3, 1, 4, 2, 1, 1, 4, 0, 3, 0, 1, 4, 3, 0, 1, 4, 3, 4, 0, 2, 1, 0, 3, 1, 0, 3, 0, 2, 3, 1, 1, 0, 4, 1, 0, 2, 0, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 4, 4, 3, 1, 3, 0, 1, 1, 3, 0, 2, 0, 4, 3, 3, 1, 0, 0, 2, 3, 4, 1, 3, 1, 0, 0, 1, 4, 4, 2, 4, 1, 1, 1, 4, 2, 4, 4, 1, 0, 2, 3, 3, 2, 3, 1, 3, 4, 0, 0, 1, 1, 2, 2, 2, 3, 2, 4, 0, 3, 4, 4, 4, 1, 2, 1, 1, 2, 3, 1, 0, 0, 3, 2, 3, 2, 1, 1, 4, 1, 4, 2, 4, 1, 2, 1, 0, 2, 4, 2, 0, 3, 2, 2, 3, 1, 0, 2, 3, 0, 3, 4, 2, 2, 0, 0, 0, 1, 0, 4, 4, 3, 1, 4, 0, 3, 1, 3, 3, 4, 0, 3, 0, 1, 4, 4, 3, 4, 0, 1, 1, 4, 0, 2, 3, 4, 1, 2, 4, 4, 4, 3, 3, 0, 3, 4, 3, 4, 3, 1, 0, 3, 1, 3, 3, 4, 4, 1, 0, 4, 2, 2, 3, 1, 0, 0, 4, 3, 3, 2, 4, 3, 4, 2, 2, 3, 0, 3, 0, 0, 4, 1, 1, 2, 3, 4, 2, 1, 4, 0, 1, 3, 3, 0, 3, 1, 0, 0, 4, 1] pubkeycol1434 = [3, 0, 3, 0, 3, 0, 0, 3, 2, 4, 2, 3, 0, 4, 0, 2, 1, 2, 4, 1, 4, 4, 3, 1, 3, 3, 4, 4, 3, 2, 0, 3, 3, 1, 4, 2, 2, 4, 1, 2, 4, 1, 4, 1, 3, 3, 3, 0, 0, 4, 1, 1, 2, 2, 0, 0, 3, 2, 4, 0, 2, 3, 0, 4, 1, 4, 2, 4, 1, 3, 2, 0, 1, 0, 1, 1, 1, 2, 4, 4, 4, 1, 3, 1, 1, 1, 1, 1, 3, 1, 0, 4, 3, 1, 0, 2, 4, 1, 0, 3, 0, 2, 4, 2, 0, 3, 1, 3, 1, 3, 4, 3, 3, 2, 4, 1, 4, 0, 1, 2, 3, 4, 4, 1, 2, 3, 3, 3, 0, 2, 4, 2, 3, 4, 2, 0, 3, 2, 2, 1, 2, 0, 2, 4, 1, 1, 4, 3, 1, 3, 1, 1, 4, 2, 1, 2, 3, 2, 1, 3, 4, 1, 3, 4, 4, 3, 2, 1, 1, 3, 3, 3, 3, 4, 3, 2, 4, 4, 2, 1, 4, 4, 1, 1, 2, 2, 4, 1, 3, 2, 2, 4, 1, 4, 2, 1, 4, 3, 1, 3, 2, 1, 3, 0, 1, 3, 3, 0, 0, 3, 4, 2, 1, 4, 3, 0, 1, 3, 4, 0, 3, 4, 4, 1, 0, 1, 3, 0, 2, 2, 0, 2, 2, 0, 1, 2, 3, 0, 3, 3, 4, 1, 4, 4, 3, 3, 4, 1, 3, 2, 2, 4, 1, 3, 1, 1, 2, 3, 3, 0, 2, 0, 4, 1, 1, 3, 4, 1, 4, 0, 0, 0, 3, 4, 1, 1, 4, 0, 2, 0, 3, 1, 0, 2, 4, 0, 2, 2, 0, 1, 3, 4, 0, 3, 3, 4, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 4, 0, 3, 2, 4, 3, 2, 1, 1, 1, 3, 0, 3, 4, 2, 0, 2, 2, 1, 1, 2, 2, 2, 4, 1, 0, 3, 2, 3, 0, 1, 4, 2, 3, 3, 0, 2, 1, 3, 3, 2, 0, 4, 1, 2, 1, 3, 3, 4, 3, 2, 1, 0, 0, 4, 3, 3, 1, 4, 2, 1, 3, 0, 0, 4, 2, 2, 0, 3, 2, 3, 0, 3, 3, 2, 1, 2, 4, 4, 1, 1, 1, 0, 2, 2, 2, 2, 1, 3, 1, 0, 4, 0] pubkeycol1435 = [2, 4, 0, 3, 4, 0, 3, 2, 1, 4, 3, 4, 1, 2, 1, 2, 1, 3, 1, 3, 3, 3, 4, 0, 3, 2, 4, 0, 3, 3, 3, 0, 4, 2, 0, 1, 4, 4, 3, 2, 2, 1, 0, 2, 0, 1, 2, 2, 3, 2, 4, 4, 2, 1, 1, 4, 4, 1, 2, 4, 2, 4, 2, 3, 2, 2, 4, 1, 0, 3, 2, 4, 1, 2, 2, 0, 1, 0, 2, 0, 4, 3, 0, 3, 1, 2, 4, 2, 0, 4, 4, 4, 3, 4, 0, 2, 0, 3, 3, 4, 0, 1, 0, 0, 2, 4, 0, 4, 1, 1, 4, 4, 3, 3, 3, 3, 1, 3, 1, 2, 0, 1, 1, 4, 3, 3, 2, 1, 3, 4, 1, 0, 2, 3, 2, 3, 1, 4, 4, 4, 0, 1, 1, 4, 4, 2, 0, 0, 4, 3, 1, 2, 1, 0, 2, 0, 2, 3, 0, 2, 1, 0, 2, 4, 2, 1, 2, 1, 1, 3, 2, 1, 0, 4, 0, 4, 2, 3, 0, 3, 3, 3, 3, 4, 3, 4, 1, 2, 2, 4, 0, 2, 1, 2, 0, 2, 0, 3, 2, 0, 4, 1, 4, 2, 1, 1, 2, 1, 0, 4, 2, 0, 2, 0, 1, 3, 2, 2, 1, 1, 4, 1, 0, 1, 4, 3, 4, 1, 0, 3, 2, 0, 4, 2, 2, 2, 0, 4, 2, 2, 1, 1, 2, 2, 2, 3, 3, 0, 4, 3, 0, 1, 1, 2, 1, 3, 2, 4, 0, 1, 1, 1, 2, 0, 1, 3, 3, 2, 0, 2, 2, 2, 3, 0, 0, 0, 2, 2, 3, 1, 3, 3, 1, 4, 3, 2, 2, 4, 4, 0, 1, 2, 3, 0, 3, 4, 1, 3, 3, 2, 0, 0, 2, 0, 4, 0, 0, 1, 1, 3, 1, 2, 1, 2, 1, 2, 1, 4, 4, 0, 3, 2, 1, 0, 4, 1, 3, 1, 3, 0, 2, 0, 3, 0, 1, 2, 0, 3, 3, 1, 1, 1, 1, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 4, 4, 2, 1, 1, 2, 1, 1, 1, 0, 4, 4, 0, 2, 3, 3, 3, 2, 3, 0, 4, 4, 1, 1, 4, 2, 4, 4, 3, 2, 0, 3, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol1436 = [3, 3, 0, 2, 0, 1, 0, 2, 1, 4, 2, 1, 2, 3, 4, 3, 2, 2, 0, 3, 2, 0, 4, 4, 4, 3, 1, 0, 0, 1, 4, 3, 3, 4, 0, 0, 3, 2, 2, 2, 1, 2, 0, 0, 4, 1, 4, 4, 4, 2, 3, 4, 3, 0, 4, 1, 3, 4, 4, 1, 1, 4, 1, 3, 1, 3, 2, 4, 3, 0, 3, 3, 0, 1, 0, 2, 2, 2, 1, 4, 3, 0, 1, 4, 2, 4, 3, 4, 0, 3, 2, 0, 4, 3, 3, 3, 4, 2, 0, 4, 1, 4, 0, 2, 4, 0, 3, 1, 2, 0, 1, 3, 2, 2, 0, 3, 3, 1, 1, 4, 0, 3, 3, 0, 3, 2, 2, 4, 2, 3, 3, 4, 1, 3, 2, 0, 1, 0, 4, 2, 3, 0, 0, 2, 3, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 4, 3, 3, 4, 2, 4, 2, 4, 0, 1, 4, 3, 4, 4, 0, 1, 2, 3, 4, 4, 1, 1, 2, 1, 4, 0, 2, 3, 2, 0, 1, 0, 1, 0, 0, 2, 3, 4, 0, 2, 0, 1, 2, 1, 1, 0, 3, 2, 0, 1, 4, 3, 4, 2, 3, 1, 0, 3, 2, 2, 0, 4, 4, 1, 2, 0, 0, 0, 2, 1, 2, 3, 3, 2, 3, 1, 1, 4, 3, 4, 2, 0, 1, 3, 3, 4, 2, 2, 1, 2, 0, 3, 0, 4, 2, 4, 4, 4, 4, 0, 1, 3, 0, 0, 3, 3, 2, 1, 3, 1, 3, 0, 2, 1, 2, 3, 4, 1, 0, 3, 4, 4, 3, 0, 0, 3, 4, 2, 1, 2, 1, 1, 1, 3, 3, 1, 2, 2, 0, 1, 3, 0, 4, 0, 1, 4, 3, 4, 3, 2, 4, 3, 4, 2, 3, 2, 2, 4, 1, 4, 0, 3, 4, 1, 2, 1, 2, 4, 3, 4, 0, 1, 3, 3, 3, 0, 1, 4, 3, 4, 4, 4, 3, 4, 1, 2, 2, 4, 4, 4, 2, 0, 1, 4, 1, 4, 3, 2, 1, 4, 4, 3, 4, 3, 4, 0, 4, 0, 4, 0, 1, 1, 0, 3, 2, 3, 2, 3, 2, 0, 1, 1, 3, 2, 0, 2, 1, 0, 4, 3, 2, 1, 2, 3, 0, 2, 3, 4, 0, 3, 4, 4, 4, 3] pubkeycol1437 = [3, 4, 4, 0, 2, 0, 0, 1, 1, 3, 0, 1, 0, 2, 1, 2, 1, 0, 0, 3, 1, 1, 0, 1, 1, 4, 2, 2, 2, 1, 1, 4, 3, 4, 0, 2, 4, 4, 2, 4, 3, 1, 3, 2, 4, 3, 1, 2, 3, 4, 4, 1, 1, 0, 0, 4, 3, 1, 3, 2, 1, 1, 1, 1, 2, 2, 4, 4, 4, 2, 1, 0, 3, 0, 1, 2, 0, 3, 3, 2, 3, 1, 4, 2, 3, 1, 2, 3, 1, 4, 4, 1, 1, 0, 4, 4, 0, 3, 1, 2, 1, 1, 3, 1, 1, 2, 2, 3, 4, 0, 2, 4, 0, 2, 2, 4, 1, 4, 3, 2, 1, 1, 4, 2, 3, 1, 4, 4, 0, 2, 0, 3, 4, 0, 0, 3, 1, 1, 3, 4, 2, 3, 4, 1, 0, 2, 3, 2, 1, 0, 2, 3, 4, 2, 0, 4, 3, 3, 2, 1, 1, 3, 1, 1, 3, 4, 1, 4, 1, 4, 2, 0, 4, 2, 4, 4, 0, 3, 3, 4, 3, 3, 3, 2, 1, 1, 1, 1, 4, 2, 3, 4, 1, 1, 0, 2, 4, 4, 2, 2, 2, 4, 0, 3, 2, 0, 0, 2, 3, 4, 3, 3, 0, 0, 2, 4, 0, 2, 0, 2, 3, 2, 1, 0, 2, 3, 0, 4, 0, 2, 1, 1, 2, 1, 1, 2, 3, 1, 3, 1, 1, 3, 2, 3, 3, 1, 0, 4, 0, 2, 1, 2, 3, 4, 2, 4, 3, 1, 2, 3, 2, 3, 0, 2, 2, 3, 3, 0, 3, 4, 3, 2, 3, 4, 2, 2, 1, 3, 3, 3, 4, 1, 3, 2, 0, 2, 1, 1, 0, 4, 4, 0, 4, 0, 4, 0, 3, 3, 1, 0, 2, 0, 3, 3, 0, 4, 1, 2, 2, 1, 2, 4, 3, 0, 1, 0, 2, 1, 3, 2, 4, 0, 3, 4, 0, 1, 2, 4, 1, 0, 2, 4, 1, 0, 2, 2, 3, 0, 4, 2, 4, 2, 0, 3, 3, 0, 4, 4, 2, 2, 3, 0, 0, 0, 0, 0, 3, 1, 3, 4, 1, 1, 3, 0, 2, 0, 2, 4, 2, 2, 4, 1, 3, 4, 4, 2, 0, 4, 3, 1, 4, 0, 0, 1, 1, 3, 3, 2, 3, 4, 1, 3, 4, 3, 0, 1, 0, 3, 2, 0] pubkeycol1438 = [1, 4, 4, 0, 1, 2, 2, 2, 3, 2, 3, 3, 4, 0, 2, 2, 4, 0, 1, 1, 4, 1, 2, 0, 3, 3, 1, 0, 4, 4, 1, 1, 4, 3, 4, 0, 1, 3, 4, 2, 4, 3, 4, 1, 1, 2, 4, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 3, 3, 0, 2, 3, 3, 1, 3, 3, 3, 4, 2, 4, 3, 4, 3, 3, 1, 3, 2, 3, 2, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 2, 1, 2, 4, 4, 1, 0, 4, 3, 4, 2, 0, 3, 2, 4, 4, 0, 0, 2, 3, 0, 0, 3, 3, 2, 3, 0, 2, 0, 4, 1, 4, 3, 3, 3, 1, 0, 0, 2, 3, 1, 0, 2, 2, 1, 2, 4, 3, 1, 3, 0, 1, 4, 4, 1, 3, 0, 3, 3, 2, 0, 3, 4, 0, 1, 0, 4, 0, 3, 4, 1, 4, 4, 4, 2, 2, 3, 0, 2, 1, 1, 4, 1, 1, 4, 4, 2, 4, 3, 0, 3, 3, 4, 1, 2, 1, 1, 3, 0, 3, 0, 0, 1, 2, 2, 3, 3, 3, 4, 1, 3, 0, 3, 2, 2, 0, 4, 2, 2, 0, 4, 0, 4, 0, 1, 0, 2, 2, 4, 0, 0, 1, 3, 1, 1, 0, 0, 3, 2, 0, 1, 2, 4, 3, 2, 4, 1, 4, 2, 4, 3, 1, 4, 3, 3, 1, 3, 3, 2, 4, 1, 4, 4, 3, 0, 2, 0, 3, 2, 3, 1, 0, 4, 4, 2, 4, 0, 4, 4, 3, 4, 3, 4, 0, 3, 1, 0, 1, 1, 0, 1, 3, 3, 1, 4, 0, 2, 2, 3, 3, 0, 0, 3, 4, 0, 2, 1, 1, 3, 4, 0, 4, 0, 1, 1, 4, 2, 3, 3, 2, 4, 3, 4, 1, 0, 2, 3, 1, 0, 0, 0, 4, 1, 4, 1, 2, 2, 1, 0, 2, 3, 2, 2, 3, 2, 2, 1, 4, 4, 2, 1, 2, 0, 1, 4, 3, 2, 4, 3, 4, 0, 4, 2, 2, 0, 3, 4, 1, 4, 4, 4, 0, 3, 0, 3, 3, 0, 4, 1, 2, 3, 0, 0, 1, 4, 1, 2, 4, 4, 2, 3, 1, 1, 1, 3, 0, 1, 2, 4, 2, 3, 4, 2, 4, 0, 0, 2, 1, 4] pubkeycol1439 = [0, 0, 4, 4, 2, 3, 2, 3, 3, 0, 0, 0, 1, 0, 2, 4, 2, 0, 2, 0, 4, 1, 2, 3, 1, 4, 4, 0, 4, 3, 1, 0, 2, 4, 3, 3, 0, 0, 1, 3, 4, 0, 4, 3, 0, 0, 4, 2, 0, 0, 0, 0, 1, 1, 0, 4, 0, 2, 1, 3, 4, 2, 4, 2, 1, 4, 1, 4, 3, 3, 3, 4, 0, 4, 4, 0, 2, 1, 0, 3, 0, 0, 3, 0, 4, 0, 3, 3, 3, 0, 3, 3, 4, 1, 4, 1, 0, 0, 3, 4, 4, 1, 3, 0, 0, 0, 1, 2, 1, 4, 2, 0, 1, 1, 3, 4, 1, 4, 3, 4, 4, 1, 1, 2, 2, 1, 4, 0, 1, 0, 0, 2, 3, 0, 3, 4, 0, 3, 1, 0, 1, 2, 2, 4, 0, 3, 0, 1, 2, 0, 2, 1, 4, 3, 3, 2, 2, 1, 0, 2, 4, 3, 4, 0, 2, 0, 1, 2, 3, 2, 2, 0, 3, 0, 2, 4, 3, 1, 4, 4, 4, 3, 1, 3, 1, 0, 3, 4, 3, 2, 1, 4, 2, 0, 2, 3, 4, 3, 4, 0, 0, 3, 4, 3, 1, 1, 0, 0, 1, 4, 2, 3, 2, 4, 0, 0, 2, 4, 0, 3, 3, 0, 2, 3, 2, 3, 0, 2, 3, 0, 4, 4, 1, 1, 2, 1, 2, 0, 2, 3, 1, 0, 2, 1, 3, 1, 3, 0, 1, 4, 0, 1, 3, 1, 4, 2, 2, 4, 3, 4, 0, 0, 2, 3, 4, 2, 2, 4, 3, 2, 1, 1, 3, 1, 3, 1, 3, 1, 0, 2, 1, 3, 4, 2, 2, 0, 4, 4, 0, 3, 3, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 3, 2, 0, 4, 3, 4, 1, 3, 1, 0, 4, 3, 2, 4, 4, 3, 2, 3, 0, 0, 2, 2, 4, 4, 0, 3, 1, 4, 0, 4, 3, 3, 2, 0, 1, 3, 4, 0, 4, 1, 3, 4, 1, 3, 3, 0, 4, 1, 4, 3, 1, 3, 3, 4, 4, 2, 3, 1, 2, 2, 1, 0, 1, 0, 3, 4, 0, 4, 2, 0, 1, 1, 0, 1, 4, 2, 1, 1, 4, 3, 3, 1, 4, 2, 2, 0, 2, 0, 1, 1, 0, 4, 3, 1, 2, 4, 1] pubkeycol1440 = [1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 3, 4, 4, 1, 3, 2, 0, 4, 2, 1, 2, 2, 3, 0, 1, 1, 4, 0, 1, 4, 4, 0, 4, 2, 3, 0, 2, 3, 4, 0, 1, 0, 1, 4, 1, 4, 3, 4, 0, 1, 0, 4, 4, 0, 4, 3, 4, 3, 4, 1, 1, 3, 0, 3, 1, 0, 1, 4, 4, 0, 3, 0, 1, 4, 3, 0, 2, 0, 3, 2, 4, 2, 4, 1, 0, 1, 3, 1, 3, 0, 1, 4, 1, 4, 0, 0, 1, 1, 3, 1, 1, 1, 1, 1, 4, 1, 1, 2, 1, 4, 1, 3, 3, 1, 2, 3, 1, 0, 2, 2, 3, 2, 2, 4, 4, 3, 0, 4, 3, 2, 4, 4, 4, 3, 0, 1, 2, 3, 2, 2, 1, 4, 4, 1, 2, 3, 3, 4, 0, 4, 4, 2, 1, 1, 3, 2, 1, 1, 2, 3, 0, 1, 4, 0, 4, 2, 1, 1, 1, 0, 2, 0, 2, 4, 4, 1, 3, 1, 4, 3, 0, 4, 0, 2, 4, 0, 3, 0, 0, 0, 4, 0, 2, 4, 3, 2, 0, 2, 1, 0, 0, 2, 2, 3, 4, 4, 0, 1, 0, 3, 3, 4, 1, 4, 4, 0, 3, 1, 4, 2, 1, 0, 4, 4, 0, 0, 0, 0, 1, 1, 4, 1, 1, 1, 4, 0, 3, 2, 2, 1, 0, 3, 2, 0, 1, 2, 3, 4, 4, 4, 4, 2, 3, 3, 3, 4, 0, 1, 2, 3, 4, 2, 2, 1, 4, 4, 4, 4, 2, 0, 2, 2, 3, 2, 1, 3, 2, 1, 3, 2, 4, 2, 1, 1, 2, 1, 0, 4, 0, 2, 2, 0, 3, 1, 0, 2, 4, 0, 4, 0, 3, 1, 3, 4, 4, 0, 4, 2, 1, 3, 3, 4, 2, 2, 3, 1, 4, 2, 3, 0, 3, 3, 4, 1, 2, 0, 0, 4, 1, 1, 1, 2, 3, 2, 3, 3, 0, 2, 4, 2, 3, 2, 2, 1, 3, 4, 0, 0, 3, 4, 2, 2, 1, 0, 0, 0, 3, 2, 2, 0, 2, 4, 1, 2, 4, 1, 2, 1, 1, 0, 4, 1, 4, 1, 2, 2, 3, 2, 3, 1, 1, 1, 1, 1, 0, 3, 1, 4, 2, 2, 4, 1, 3, 4, 0, 3, 3, 1, 3, 2] pubkeycol1441 = [2, 0, 4, 3, 3, 1, 1, 4, 2, 0, 2, 1, 4, 1, 1, 3, 4, 1, 1, 4, 0, 1, 0, 0, 4, 2, 0, 1, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 3, 2, 4, 1, 4, 2, 1, 4, 2, 3, 1, 3, 3, 0, 0, 4, 3, 0, 3, 3, 0, 1, 1, 0, 2, 1, 2, 0, 2, 3, 0, 0, 3, 2, 0, 2, 3, 2, 2, 4, 2, 3, 3, 1, 0, 0, 4, 1, 3, 1, 2, 2, 1, 2, 4, 3, 3, 2, 1, 4, 3, 2, 3, 4, 0, 4, 4, 1, 3, 1, 0, 2, 1, 2, 3, 1, 3, 2, 3, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 3, 4, 1, 0, 4, 0, 0, 1, 4, 4, 3, 0, 3, 0, 4, 2, 3, 0, 3, 1, 3, 3, 3, 1, 0, 3, 4, 4, 3, 0, 2, 2, 4, 1, 1, 1, 0, 1, 4, 0, 0, 2, 2, 3, 4, 4, 0, 2, 2, 1, 1, 2, 4, 3, 3, 0, 3, 1, 3, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 4, 1, 4, 2, 2, 1, 0, 2, 4, 0, 3, 2, 0, 3, 3, 1, 4, 0, 0, 2, 2, 0, 4, 4, 1, 3, 2, 4, 3, 0, 4, 4, 0, 2, 0, 4, 1, 3, 0, 3, 4, 0, 1, 1, 4, 4, 4, 1, 1, 3, 1, 4, 1, 3, 2, 0, 3, 0, 2, 0, 0, 0, 4, 0, 3, 1, 3, 4, 1, 3, 2, 0, 3, 4, 1, 3, 2, 0, 0, 0, 2, 0, 4, 4, 1, 2, 3, 1, 0, 2, 0, 4, 2, 4, 2, 4, 2, 3, 0, 4, 0, 2, 1, 0, 4, 3, 4, 2, 2, 1, 3, 0, 4, 0, 1, 1, 3, 1, 1, 0, 2, 2, 1, 0, 4, 4, 0, 2, 1, 1, 4, 2, 1, 2, 1, 0, 1, 2, 1, 1, 4, 0, 4, 4, 3, 1, 1, 1, 2, 2, 3, 1, 3, 3, 4, 2, 3, 2, 3, 1, 4, 3, 4, 0, 0, 2, 1, 2, 3, 4, 1, 0, 1, 4, 4, 3, 1, 4, 1, 4, 2, 4, 4, 2, 1, 1, 4, 2, 0, 4, 2, 1, 4, 2, 2, 1, 2, 4, 3] pubkeycol1442 = [0, 3, 2, 1, 0, 1, 4, 1, 0, 3, 4, 2, 2, 2, 4, 2, 1, 0, 0, 2, 2, 0, 4, 1, 3, 0, 3, 0, 0, 1, 2, 1, 0, 3, 4, 2, 3, 3, 0, 3, 2, 4, 1, 4, 0, 2, 3, 0, 2, 1, 0, 3, 0, 0, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 2, 3, 1, 2, 3, 0, 2, 4, 4, 0, 4, 2, 3, 2, 1, 2, 2, 4, 3, 1, 3, 1, 3, 2, 2, 0, 1, 0, 1, 4, 3, 0, 0, 3, 4, 3, 0, 3, 2, 4, 2, 1, 0, 3, 1, 0, 2, 1, 4, 2, 0, 0, 4, 4, 2, 4, 4, 1, 2, 0, 0, 4, 1, 4, 3, 4, 1, 1, 4, 3, 0, 4, 0, 0, 2, 0, 3, 3, 2, 3, 1, 2, 1, 3, 4, 1, 4, 3, 0, 3, 0, 4, 4, 1, 4, 0, 3, 0, 4, 3, 3, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 4, 0, 2, 1, 1, 2, 2, 2, 4, 1, 2, 3, 1, 2, 0, 2, 3, 1, 0, 4, 1, 4, 4, 1, 3, 4, 4, 3, 2, 1, 4, 3, 1, 1, 2, 0, 2, 3, 4, 2, 4, 4, 1, 2, 1, 1, 3, 3, 2, 1, 1, 3, 1, 1, 4, 3, 2, 1, 1, 0, 3, 0, 1, 2, 4, 1, 4, 2, 1, 3, 0, 3, 0, 4, 0, 2, 3, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 2, 2, 0, 2, 2, 4, 4, 4, 4, 4, 3, 3, 1, 3, 4, 2, 0, 4, 2, 3, 2, 4, 3, 1, 1, 4, 1, 4, 1, 4, 2, 1, 1, 3, 3, 4, 2, 3, 1, 2, 2, 2, 0, 4, 4, 3, 3, 0, 4, 3, 1, 4, 4, 0, 1, 0, 4, 0, 3, 2, 3, 3, 1, 1, 1, 3, 2, 1, 1, 4, 2, 1, 3, 2, 4, 1, 3, 2, 4, 2, 2, 2, 1, 2, 3, 3, 3, 1, 1, 2, 2, 0, 3, 1, 3, 1, 2, 3, 4, 1, 4, 3, 4, 2, 0, 0, 2, 3, 2, 4, 3, 4, 0, 1, 3, 3, 4, 3, 3, 1, 3, 2, 1, 4, 1, 4, 3, 3, 4, 3, 3, 4, 4, 0, 2, 0, 1, 2] pubkeycol1443 = [2, 2, 3, 4, 3, 1, 2, 1, 0, 3, 0, 0, 4, 1, 1, 0, 0, 0, 1, 3, 2, 0, 0, 4, 2, 3, 3, 3, 3, 0, 0, 0, 4, 2, 1, 0, 3, 2, 2, 4, 0, 2, 4, 0, 3, 4, 0, 2, 3, 0, 0, 0, 3, 1, 0, 3, 1, 1, 0, 1, 0, 4, 4, 4, 3, 3, 1, 2, 1, 4, 3, 1, 0, 0, 3, 2, 3, 4, 4, 0, 4, 2, 0, 1, 3, 1, 0, 4, 0, 3, 0, 1, 0, 1, 2, 2, 1, 4, 0, 0, 0, 0, 2, 4, 3, 0, 2, 4, 0, 3, 3, 4, 4, 1, 3, 2, 4, 4, 1, 2, 0, 2, 3, 2, 3, 2, 1, 1, 2, 2, 3, 4, 3, 2, 4, 3, 1, 2, 3, 4, 4, 3, 0, 2, 1, 4, 0, 0, 2, 2, 1, 3, 0, 3, 2, 3, 3, 3, 3, 0, 3, 2, 0, 3, 4, 1, 3, 4, 1, 1, 3, 2, 0, 0, 2, 4, 3, 3, 2, 2, 2, 0, 3, 0, 3, 4, 4, 1, 2, 3, 3, 1, 1, 0, 2, 3, 1, 2, 2, 4, 4, 3, 0, 3, 0, 3, 3, 4, 3, 4, 4, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 3, 3, 1, 4, 0, 0, 2, 3, 0, 4, 4, 1, 0, 2, 0, 1, 2, 4, 3, 2, 2, 1, 0, 0, 0, 3, 1, 4, 4, 0, 0, 2, 3, 2, 3, 2, 1, 1, 0, 2, 0, 2, 1, 3, 3, 3, 4, 3, 2, 0, 2, 0, 0, 3, 2, 1, 4, 3, 0, 2, 2, 0, 2, 4, 1, 1, 1, 1, 2, 0, 2, 3, 4, 3, 3, 0, 3, 1, 4, 3, 0, 1, 0, 1, 3, 3, 4, 0, 1, 0, 3, 0, 1, 3, 0, 2, 1, 2, 0, 0, 3, 4, 4, 4, 2, 0, 4, 2, 0, 1, 2, 2, 4, 1, 4, 2, 4, 2, 4, 0, 1, 1, 3, 3, 1, 2, 4, 3, 1, 4, 2, 4, 1, 0, 2, 4, 4, 3, 0, 4, 2, 1, 3, 1, 1, 3, 1, 3, 0, 0, 2, 4, 4, 2, 4, 1, 4, 2, 0, 3, 2, 4, 1, 1, 4, 2, 1, 4, 2, 2, 2, 1, 1, 1, 2, 0, 4] pubkeycol1444 = [3, 3, 2, 2, 0, 4, 1, 1, 0, 2, 3, 1, 0, 1, 4, 0, 1, 1, 2, 3, 0, 4, 2, 4, 2, 4, 3, 3, 1, 2, 4, 1, 0, 1, 4, 0, 2, 0, 2, 4, 1, 1, 2, 1, 3, 2, 4, 3, 2, 1, 1, 4, 2, 1, 3, 0, 3, 1, 2, 4, 2, 1, 3, 2, 1, 1, 2, 4, 3, 3, 2, 4, 0, 0, 2, 4, 2, 0, 2, 1, 0, 3, 0, 0, 2, 2, 1, 4, 1, 1, 2, 4, 4, 3, 0, 1, 1, 4, 0, 1, 0, 3, 0, 0, 0, 2, 2, 4, 1, 3, 3, 3, 1, 3, 3, 0, 0, 0, 4, 2, 2, 4, 3, 1, 4, 2, 0, 4, 3, 3, 0, 0, 0, 1, 0, 3, 1, 2, 0, 3, 2, 2, 2, 3, 4, 4, 1, 1, 0, 4, 1, 0, 2, 4, 2, 4, 2, 0, 3, 0, 1, 1, 2, 1, 1, 0, 1, 1, 3, 2, 0, 3, 3, 2, 3, 4, 2, 4, 0, 1, 4, 3, 4, 0, 3, 0, 4, 2, 2, 3, 2, 1, 4, 4, 4, 1, 3, 3, 0, 0, 3, 3, 0, 4, 3, 1, 4, 4, 1, 4, 3, 0, 0, 0, 4, 1, 2, 3, 3, 0, 3, 3, 4, 3, 4, 4, 4, 1, 2, 0, 4, 1, 2, 2, 0, 1, 4, 4, 1, 4, 3, 0, 3, 1, 2, 1, 3, 2, 1, 4, 4, 1, 2, 3, 4, 0, 1, 0, 4, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 2, 2, 0, 0, 1, 4, 1, 2, 4, 2, 0, 2, 3, 0, 0, 4, 2, 3, 0, 4, 3, 1, 0, 1, 1, 3, 1, 0, 1, 4, 1, 0, 3, 3, 2, 4, 3, 1, 4, 3, 0, 3, 3, 0, 4, 2, 3, 3, 2, 2, 4, 2, 4, 3, 1, 0, 3, 0, 1, 1, 3, 2, 4, 2, 2, 3, 1, 0, 4, 0, 1, 3, 4, 1, 4, 0, 3, 1, 3, 0, 4, 3, 4, 0, 2, 4, 2, 3, 0, 3, 1, 1, 3, 1, 3, 0, 4, 1, 3, 1, 1, 0, 1, 3, 2, 4, 1, 4, 4, 3, 2, 4, 1, 3, 1, 2, 2, 2, 3, 4, 4, 1, 4, 2, 3, 1, 3, 1, 1, 2] pubkeycol1445 = [3, 1, 2, 0, 0, 2, 1, 2, 3, 2, 2, 4, 0, 3, 4, 1, 3, 1, 3, 2, 0, 3, 0, 4, 3, 0, 3, 3, 3, 2, 3, 3, 3, 4, 4, 1, 1, 1, 1, 3, 3, 3, 4, 3, 0, 1, 3, 0, 3, 4, 1, 3, 3, 1, 3, 0, 4, 4, 0, 1, 4, 2, 4, 2, 1, 3, 2, 1, 2, 0, 3, 2, 4, 3, 2, 1, 2, 4, 3, 0, 2, 4, 1, 1, 4, 1, 1, 1, 2, 3, 4, 4, 2, 3, 3, 1, 2, 0, 0, 0, 4, 2, 0, 0, 3, 1, 1, 0, 1, 3, 4, 2, 1, 0, 3, 1, 4, 3, 2, 3, 2, 4, 4, 3, 1, 4, 2, 2, 1, 1, 0, 1, 0, 2, 3, 2, 2, 2, 4, 1, 2, 4, 3, 3, 3, 2, 4, 2, 3, 1, 2, 4, 4, 3, 2, 3, 2, 0, 2, 0, 2, 4, 2, 1, 2, 4, 0, 1, 2, 1, 0, 3, 4, 3, 3, 0, 3, 4, 2, 0, 0, 3, 1, 3, 1, 0, 3, 0, 0, 3, 2, 4, 2, 3, 0, 4, 4, 2, 3, 3, 2, 1, 0, 0, 3, 4, 0, 1, 2, 2, 1, 4, 4, 3, 4, 3, 0, 4, 2, 0, 1, 4, 3, 4, 4, 0, 3, 4, 1, 4, 1, 0, 3, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 3, 1, 2, 2, 3, 2, 4, 0, 2, 1, 3, 1, 4, 3, 2, 2, 1, 3, 4, 2, 4, 0, 3, 3, 0, 0, 0, 4, 2, 3, 1, 3, 4, 1, 3, 3, 4, 1, 3, 4, 3, 3, 0, 3, 4, 0, 3, 4, 4, 0, 4, 4, 2, 4, 0, 4, 2, 4, 0, 4, 2, 1, 1, 0, 4, 0, 1, 4, 0, 4, 2, 4, 3, 4, 2, 2, 4, 1, 3, 1, 4, 2, 2, 3, 0, 1, 3, 4, 3, 0, 0, 1, 4, 2, 3, 3, 1, 0, 2, 4, 4, 3, 3, 3, 3, 4, 4, 4, 0, 4, 2, 4, 4, 0, 2, 0, 0, 1, 2, 1, 3, 0, 4, 4, 0, 1, 1, 2, 4, 4, 3, 2, 1, 1, 0, 4, 1, 2, 0, 4, 0, 4, 1, 2, 2, 2, 4, 3, 1, 2, 3, 3, 3, 0, 0] pubkeycol1446 = [1, 1, 3, 2, 4, 1, 0, 4, 4, 2, 1, 4, 1, 0, 1, 1, 0, 0, 1, 4, 4, 3, 1, 1, 3, 3, 3, 4, 0, 3, 0, 3, 3, 1, 0, 1, 4, 2, 2, 1, 3, 0, 2, 0, 0, 4, 4, 3, 1, 4, 2, 4, 3, 4, 3, 3, 3, 4, 1, 3, 3, 2, 3, 3, 1, 0, 4, 2, 1, 1, 2, 1, 0, 2, 3, 1, 2, 2, 4, 4, 0, 1, 0, 3, 1, 2, 3, 4, 0, 0, 2, 2, 4, 2, 4, 3, 3, 4, 1, 3, 3, 4, 2, 3, 3, 3, 0, 4, 4, 2, 2, 4, 1, 2, 4, 1, 0, 2, 1, 4, 4, 4, 3, 2, 1, 2, 1, 3, 1, 3, 2, 1, 4, 4, 4, 3, 1, 0, 0, 2, 3, 1, 1, 1, 1, 2, 3, 2, 0, 3, 1, 4, 2, 0, 4, 4, 0, 0, 2, 2, 4, 1, 0, 4, 1, 4, 1, 3, 1, 0, 1, 4, 1, 3, 3, 1, 1, 2, 2, 1, 3, 4, 2, 4, 0, 3, 4, 1, 2, 3, 0, 4, 1, 3, 2, 3, 1, 2, 3, 4, 4, 0, 0, 4, 2, 0, 1, 1, 1, 4, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 3, 1, 4, 4, 4, 2, 0, 3, 0, 0, 1, 4, 2, 1, 2, 3, 3, 3, 0, 1, 0, 4, 3, 2, 1, 4, 1, 0, 1, 4, 1, 4, 2, 0, 0, 4, 1, 2, 0, 2, 0, 0, 4, 1, 4, 1, 2, 3, 0, 1, 1, 2, 4, 3, 0, 3, 2, 2, 0, 4, 1, 4, 3, 3, 3, 4, 3, 2, 4, 4, 2, 0, 2, 4, 2, 4, 2, 4, 2, 1, 4, 3, 3, 4, 4, 2, 1, 4, 3, 1, 4, 0, 4, 1, 2, 3, 0, 2, 2, 0, 1, 3, 1, 2, 3, 0, 3, 2, 4, 1, 4, 0, 2, 0, 3, 0, 1, 3, 2, 3, 1, 2, 0, 4, 1, 2, 1, 4, 0, 1, 3, 4, 1, 3, 2, 2, 1, 4, 1, 2, 3, 4, 3, 2, 1, 0, 4, 1, 4, 3, 4, 4, 0, 2, 1, 0, 3, 0, 3, 4, 0, 1, 2, 4, 2, 1, 3, 4, 0, 2, 1, 0, 2, 4, 2, 0, 1, 1, 4, 2] pubkeycol1447 = [1, 4, 0, 2, 3, 2, 3, 2, 4, 3, 2, 2, 2, 4, 4, 2, 2, 4, 3, 1, 0, 2, 1, 3, 2, 3, 2, 2, 3, 0, 0, 0, 3, 0, 3, 1, 3, 3, 0, 2, 0, 3, 4, 2, 0, 2, 1, 2, 4, 1, 1, 3, 3, 1, 3, 1, 4, 2, 3, 2, 3, 0, 0, 1, 1, 0, 2, 2, 3, 1, 3, 0, 2, 3, 3, 0, 0, 4, 2, 4, 1, 0, 2, 2, 2, 0, 0, 3, 0, 3, 4, 0, 2, 3, 3, 1, 4, 1, 1, 3, 1, 3, 0, 0, 3, 3, 2, 3, 0, 2, 1, 0, 4, 0, 4, 2, 0, 4, 1, 0, 0, 1, 0, 2, 3, 3, 0, 0, 3, 4, 4, 3, 3, 0, 0, 0, 4, 3, 1, 3, 4, 4, 3, 3, 3, 1, 4, 0, 3, 1, 3, 1, 1, 2, 1, 0, 0, 0, 2, 3, 0, 3, 4, 0, 2, 3, 2, 0, 4, 1, 0, 1, 2, 0, 1, 1, 1, 3, 3, 1, 1, 1, 4, 0, 4, 0, 3, 0, 3, 0, 4, 1, 3, 1, 2, 0, 3, 2, 3, 3, 4, 0, 2, 4, 1, 3, 1, 3, 3, 3, 3, 3, 1, 0, 1, 2, 0, 0, 4, 0, 3, 3, 3, 1, 3, 1, 0, 2, 4, 2, 3, 4, 3, 2, 0, 3, 1, 1, 3, 4, 1, 3, 1, 4, 1, 2, 0, 0, 2, 3, 1, 3, 4, 1, 1, 0, 1, 1, 2, 3, 3, 0, 1, 4, 0, 0, 0, 1, 2, 2, 0, 3, 0, 2, 2, 0, 1, 0, 4, 1, 3, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 3, 2, 1, 0, 0, 2, 0, 1, 1, 0, 4, 1, 2, 4, 3, 1, 1, 4, 0, 3, 3, 4, 3, 4, 0, 4, 0, 4, 1, 4, 1, 2, 0, 2, 4, 2, 3, 1, 3, 1, 2, 2, 0, 0, 3, 0, 1, 1, 3, 2, 0, 0, 0, 3, 1, 3, 1, 2, 1, 1, 1, 1, 4, 2, 1, 3, 1, 0, 1, 3, 0, 4, 3, 3, 0, 4, 0, 0, 2, 4, 0, 2, 3, 0, 2, 4, 1, 1, 0, 3, 1, 1, 3, 0, 0, 2, 4, 2, 0, 4, 2, 0, 0, 2, 3, 3, 1, 0, 1] pubkeycol1448 = [0, 1, 0, 3, 1, 2, 0, 0, 0, 0, 4, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 0, 1, 3, 1, 4, 0, 1, 4, 1, 2, 0, 4, 4, 4, 4, 4, 3, 0, 3, 0, 1, 2, 2, 1, 1, 3, 1, 3, 2, 0, 1, 2, 3, 2, 0, 1, 4, 4, 3, 1, 2, 3, 1, 2, 0, 1, 1, 0, 3, 1, 0, 3, 3, 3, 3, 2, 1, 4, 0, 1, 4, 0, 1, 3, 0, 3, 1, 4, 2, 2, 4, 0, 1, 3, 0, 2, 1, 1, 4, 1, 0, 0, 4, 1, 0, 2, 4, 4, 2, 1, 1, 3, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 3, 1, 0, 1, 4, 4, 2, 2, 4, 3, 1, 2, 3, 3, 3, 1, 4, 3, 0, 4, 4, 2, 2, 1, 2, 0, 2, 3, 4, 4, 2, 1, 1, 0, 0, 1, 3, 0, 3, 0, 3, 1, 4, 4, 1, 2, 1, 0, 3, 2, 2, 3, 2, 2, 3, 0, 1, 0, 4, 1, 1, 0, 1, 0, 4, 0, 4, 2, 2, 0, 2, 1, 3, 1, 3, 1, 4, 4, 3, 0, 0, 1, 1, 4, 3, 0, 2, 1, 4, 3, 4, 0, 3, 0, 0, 0, 3, 3, 3, 3, 4, 2, 4, 1, 3, 0, 4, 2, 2, 3, 4, 2, 3, 1, 4, 2, 4, 0, 0, 4, 4, 3, 1, 4, 3, 2, 4, 2, 3, 3, 0, 0, 2, 3, 3, 1, 2, 2, 3, 4, 3, 2, 2, 4, 4, 2, 3, 1, 4, 0, 3, 3, 1, 1, 0, 4, 1, 0, 4, 4, 3, 4, 3, 4, 3, 4, 1, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 2, 0, 0, 4, 4, 4, 4, 3, 2, 3, 2, 2, 0, 3, 0, 1, 3, 3, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 3, 0, 0, 2, 0, 3, 4, 2, 2, 3, 0, 3, 1, 2, 1, 2, 1, 2, 0, 4, 3, 4, 0, 1, 1, 1, 0, 0, 3, 0, 1, 0, 4, 0, 0, 0, 4, 1, 0, 4, 0, 2, 3, 0, 1, 2, 4, 4, 2, 4, 1, 0, 1, 2, 4, 1, 0, 4, 1, 1, 0, 4, 0, 2, 0, 0, 2, 3, 0, 1, 1, 0] pubkeycol1449 = [4, 3, 4, 4, 4, 0, 0, 3, 0, 2, 2, 1, 3, 3, 0, 1, 4, 3, 0, 0, 1, 3, 0, 4, 0, 0, 0, 1, 2, 3, 4, 4, 4, 0, 2, 4, 3, 4, 3, 4, 3, 2, 3, 4, 0, 0, 2, 0, 0, 1, 3, 2, 4, 2, 0, 4, 3, 1, 2, 4, 2, 3, 0, 3, 2, 3, 1, 3, 3, 1, 4, 3, 3, 4, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 1, 1, 0, 4, 3, 3, 1, 4, 3, 4, 1, 0, 2, 3, 4, 2, 0, 3, 2, 4, 1, 1, 4, 3, 4, 3, 1, 4, 3, 4, 4, 4, 3, 4, 2, 4, 0, 2, 1, 3, 3, 3, 3, 0, 0, 2, 0, 2, 2, 3, 4, 0, 0, 0, 3, 3, 3, 1, 0, 4, 3, 3, 3, 4, 0, 1, 1, 4, 0, 3, 2, 1, 3, 0, 1, 1, 1, 3, 0, 4, 0, 4, 0, 4, 4, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 2, 1, 4, 1, 2, 2, 4, 2, 4, 4, 3, 4, 4, 3, 4, 1, 1, 3, 3, 3, 0, 4, 2, 0, 4, 3, 1, 3, 1, 0, 0, 1, 3, 1, 2, 1, 2, 4, 0, 0, 3, 1, 4, 4, 0, 1, 4, 0, 3, 3, 1, 3, 2, 4, 1, 1, 1, 1, 2, 1, 3, 1, 4, 3, 3, 0, 0, 2, 4, 4, 1, 2, 1, 0, 3, 2, 2, 4, 0, 0, 0, 3, 0, 2, 3, 4, 3, 3, 2, 2, 4, 3, 0, 2, 1, 3, 2, 3, 4, 3, 4, 0, 3, 1, 3, 4, 4, 2, 3, 3, 0, 4, 1, 0, 1, 2, 3, 0, 4, 2, 3, 2, 1, 4, 0, 1, 2, 2, 2, 2, 0, 4, 3, 0, 2, 2, 1, 3, 4, 1, 3, 0, 2, 1, 3, 0, 1, 4, 0, 1, 3, 4, 0, 4, 2, 4, 3, 0, 1, 0, 2, 2, 2, 4, 3, 1, 1, 2, 4, 0, 2, 0, 3, 2, 1, 2, 1, 3, 4, 4, 4, 0, 0, 4, 3, 3, 0, 1, 1, 1, 1, 0, 1, 2, 0, 3, 4, 3, 1, 2, 0, 0, 1, 2, 4, 1, 3, 4, 4, 2, 2, 0, 4, 4, 3, 4, 4, 4, 3] pubkeycol1450 = [4, 3, 2, 2, 4, 0, 0, 2, 3, 0, 0, 3, 4, 3, 2, 3, 1, 0, 1, 4, 4, 4, 0, 0, 1, 0, 0, 4, 0, 3, 0, 4, 0, 0, 2, 1, 3, 2, 1, 4, 2, 3, 2, 0, 1, 4, 4, 3, 0, 1, 3, 0, 1, 0, 4, 0, 2, 0, 3, 3, 4, 4, 1, 1, 1, 0, 2, 3, 2, 1, 3, 1, 0, 2, 3, 4, 2, 4, 2, 0, 2, 0, 1, 1, 0, 3, 3, 2, 0, 0, 4, 4, 0, 1, 4, 0, 0, 3, 1, 4, 0, 2, 0, 0, 1, 3, 4, 1, 0, 2, 4, 1, 4, 2, 0, 2, 0, 0, 4, 1, 0, 0, 4, 4, 3, 1, 4, 4, 3, 4, 4, 0, 2, 3, 3, 4, 3, 3, 0, 0, 0, 1, 1, 4, 4, 4, 0, 3, 2, 4, 0, 1, 4, 4, 2, 2, 2, 1, 3, 4, 1, 2, 1, 1, 0, 1, 1, 1, 3, 3, 0, 4, 1, 3, 0, 4, 3, 3, 3, 1, 0, 4, 1, 0, 1, 4, 0, 0, 3, 1, 2, 1, 0, 1, 0, 1, 4, 0, 1, 1, 1, 1, 0, 3, 2, 1, 2, 1, 4, 1, 2, 3, 0, 4, 2, 4, 3, 1, 0, 3, 1, 0, 2, 3, 1, 3, 0, 2, 2, 3, 3, 2, 3, 3, 0, 3, 1, 3, 4, 0, 1, 0, 0, 0, 2, 3, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 4, 2, 1, 4, 1, 2, 4, 1, 1, 4, 2, 4, 1, 1, 3, 4, 1, 4, 2, 2, 2, 0, 4, 0, 0, 1, 3, 0, 2, 3, 3, 1, 0, 2, 3, 0, 2, 0, 4, 1, 3, 1, 0, 3, 2, 3, 0, 1, 3, 4, 1, 3, 1, 1, 4, 3, 0, 3, 4, 0, 2, 4, 4, 1, 3, 2, 1, 3, 2, 4, 4, 1, 0, 0, 3, 4, 1, 1, 4, 2, 4, 0, 1, 3, 0, 4, 1, 4, 3, 3, 3, 3, 2, 1, 2, 4, 4, 1, 1, 4, 3, 2, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 4, 3, 4, 0, 3, 1, 1, 0, 4, 3, 0, 3, 3, 1, 0, 2, 0, 1, 4, 1, 4, 0, 2, 2, 0, 0, 1, 4, 3, 4] pubkeycol1451 = [1, 1, 3, 2, 3, 1, 2, 2, 1, 0, 3, 4, 2, 4, 2, 2, 0, 3, 1, 2, 4, 3, 3, 3, 1, 1, 3, 1, 2, 1, 0, 1, 3, 1, 0, 3, 4, 1, 4, 1, 3, 4, 3, 2, 3, 3, 1, 0, 0, 1, 3, 3, 2, 0, 4, 4, 2, 0, 0, 2, 2, 1, 0, 0, 0, 4, 3, 0, 0, 3, 0, 2, 3, 4, 2, 2, 0, 0, 3, 0, 3, 3, 2, 3, 4, 4, 3, 4, 2, 2, 4, 0, 2, 3, 4, 4, 2, 1, 2, 2, 1, 4, 0, 4, 1, 2, 1, 2, 3, 2, 0, 0, 4, 1, 0, 4, 4, 1, 4, 3, 4, 0, 1, 2, 2, 2, 4, 0, 1, 3, 3, 2, 4, 2, 4, 0, 4, 0, 3, 1, 3, 1, 2, 2, 3, 4, 4, 1, 3, 3, 2, 1, 1, 2, 3, 4, 1, 4, 2, 1, 1, 1, 1, 2, 3, 4, 4, 1, 0, 3, 1, 0, 1, 0, 4, 0, 0, 2, 1, 3, 4, 1, 4, 3, 1, 2, 4, 4, 3, 1, 3, 3, 1, 3, 0, 4, 3, 1, 1, 2, 2, 3, 3, 3, 2, 0, 4, 3, 1, 4, 2, 0, 1, 1, 4, 4, 3, 3, 1, 0, 3, 4, 2, 2, 1, 0, 3, 0, 1, 3, 0, 1, 4, 4, 1, 3, 1, 1, 3, 2, 2, 1, 2, 1, 1, 2, 0, 4, 1, 1, 1, 2, 1, 0, 3, 4, 2, 0, 0, 2, 1, 3, 0, 1, 2, 2, 3, 2, 1, 0, 1, 4, 4, 4, 3, 0, 2, 3, 4, 0, 1, 2, 2, 2, 1, 1, 4, 3, 2, 4, 2, 1, 1, 0, 2, 4, 2, 4, 2, 4, 3, 1, 3, 4, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 3, 0, 0, 3, 3, 2, 3, 1, 3, 3, 4, 4, 2, 1, 3, 4, 3, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 3, 1, 1, 3, 3, 1, 0, 4, 3, 0, 1, 1, 3, 4, 3, 3, 4, 3, 0, 3, 2, 1, 3, 0, 3, 2, 1, 2, 4, 4, 4, 0, 3, 4, 3, 1, 3, 4, 1, 0, 1, 0, 4, 3, 2, 3, 3, 0, 2, 2, 0] pubkeycol1452 = [0, 3, 2, 0, 1, 3, 1, 2, 1, 1, 3, 0, 3, 3, 2, 1, 0, 1, 2, 2, 0, 4, 4, 2, 2, 4, 4, 3, 0, 0, 2, 1, 0, 3, 3, 1, 0, 4, 3, 2, 1, 1, 3, 3, 2, 0, 1, 4, 1, 2, 1, 3, 3, 4, 0, 3, 0, 4, 4, 1, 2, 1, 1, 3, 1, 1, 4, 1, 2, 4, 2, 3, 2, 1, 3, 4, 3, 3, 1, 4, 2, 3, 0, 3, 0, 0, 4, 1, 2, 3, 0, 4, 1, 1, 4, 1, 1, 2, 3, 1, 2, 2, 4, 1, 4, 3, 0, 2, 3, 3, 0, 0, 4, 0, 0, 0, 3, 3, 2, 3, 4, 3, 3, 0, 4, 4, 3, 4, 2, 0, 3, 0, 3, 4, 0, 1, 0, 0, 1, 4, 3, 4, 0, 3, 0, 2, 0, 4, 4, 3, 3, 4, 3, 4, 3, 0, 0, 3, 3, 0, 1, 3, 3, 1, 1, 4, 2, 0, 3, 4, 3, 0, 3, 3, 4, 1, 0, 0, 1, 3, 3, 4, 2, 3, 3, 3, 1, 1, 3, 2, 3, 0, 3, 0, 2, 4, 4, 3, 2, 0, 3, 0, 0, 4, 1, 2, 3, 1, 3, 1, 2, 2, 0, 4, 0, 1, 3, 0, 1, 3, 0, 3, 0, 2, 3, 2, 1, 1, 4, 1, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 2, 1, 3, 2, 0, 2, 2, 1, 1, 4, 4, 0, 1, 1, 3, 1, 0, 3, 4, 2, 2, 2, 4, 0, 1, 4, 0, 0, 1, 2, 0, 3, 1, 3, 1, 2, 4, 3, 1, 4, 0, 0, 2, 4, 0, 0, 0, 4, 2, 0, 4, 0, 1, 4, 4, 1, 1, 0, 1, 3, 4, 2, 1, 4, 0, 1, 2, 0, 3, 2, 0, 3, 3, 2, 3, 0, 0, 2, 4, 0, 0, 3, 3, 3, 3, 1, 3, 0, 3, 2, 1, 3, 1, 2, 3, 2, 4, 4, 1, 3, 0, 0, 3, 2, 0, 3, 0, 4, 2, 3, 1, 1, 4, 1, 1, 4, 1, 3, 0, 1, 1, 4, 2, 2, 2, 1, 1, 0, 0, 2, 2, 4, 0, 2, 2, 2, 3, 2, 2, 0, 4, 1, 3, 0, 1, 4, 1, 1, 0, 1, 4, 2, 0, 3, 0, 1, 1, 0, 3, 2] pubkeycol1453 = [3, 0, 3, 4, 0, 1, 1, 3, 1, 0, 1, 2, 4, 3, 4, 1, 2, 4, 0, 3, 3, 4, 2, 1, 0, 1, 1, 3, 3, 0, 0, 3, 0, 3, 3, 2, 0, 3, 4, 2, 2, 2, 3, 3, 4, 3, 2, 2, 1, 0, 4, 4, 3, 3, 3, 0, 3, 1, 4, 4, 0, 2, 1, 1, 4, 1, 3, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 3, 1, 0, 2, 4, 3, 2, 1, 3, 1, 1, 1, 2, 2, 2, 3, 1, 2, 3, 4, 2, 3, 3, 2, 2, 0, 3, 2, 3, 0, 2, 3, 0, 4, 1, 3, 0, 1, 3, 1, 2, 4, 2, 4, 3, 1, 0, 4, 0, 3, 2, 1, 3, 0, 0, 4, 1, 2, 2, 4, 4, 2, 3, 1, 3, 4, 2, 1, 1, 3, 0, 4, 0, 1, 3, 0, 2, 4, 3, 0, 3, 1, 4, 2, 1, 4, 1, 1, 4, 3, 2, 1, 4, 2, 1, 3, 1, 2, 2, 4, 0, 3, 2, 4, 2, 2, 1, 1, 3, 3, 2, 1, 4, 2, 3, 3, 0, 0, 1, 2, 2, 4, 4, 4, 4, 0, 3, 1, 3, 3, 4, 2, 1, 1, 0, 4, 1, 3, 4, 3, 0, 4, 4, 2, 2, 2, 4, 0, 1, 0, 2, 1, 4, 0, 0, 2, 0, 4, 4, 4, 4, 4, 0, 2, 2, 0, 1, 3, 4, 3, 2, 2, 3, 0, 3, 2, 2, 0, 4, 0, 2, 0, 3, 4, 1, 3, 2, 2, 0, 0, 2, 1, 4, 3, 4, 1, 4, 3, 1, 1, 4, 0, 3, 1, 1, 3, 3, 4, 2, 2, 2, 4, 4, 3, 4, 3, 0, 4, 3, 4, 3, 4, 0, 0, 0, 3, 2, 4, 3, 3, 3, 2, 4, 1, 1, 0, 4, 1, 2, 0, 3, 3, 0, 3, 0, 2, 1, 1, 4, 4, 0, 4, 0, 4, 1, 2, 2, 4, 2, 4, 0, 0, 0, 4, 4, 4, 4, 2, 2, 3, 4, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 3, 0, 4, 3, 2, 3, 0, 4, 3, 4, 0, 3, 0, 4, 4, 0, 0, 1, 4, 2, 4, 4, 2, 3, 2, 4, 2, 1, 2] pubkeycol1454 = [0, 0, 3, 0, 3, 0, 4, 1, 4, 2, 2, 2, 1, 4, 1, 2, 1, 0, 3, 3, 0, 3, 3, 4, 0, 3, 2, 3, 3, 1, 3, 2, 1, 0, 2, 3, 3, 4, 3, 2, 3, 2, 3, 1, 0, 3, 1, 0, 2, 0, 1, 1, 0, 4, 4, 3, 3, 3, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 4, 0, 0, 1, 0, 4, 1, 4, 2, 2, 3, 4, 4, 3, 0, 4, 4, 0, 3, 1, 2, 2, 0, 1, 4, 3, 0, 3, 0, 4, 1, 1, 0, 3, 1, 0, 4, 0, 0, 0, 1, 0, 2, 0, 4, 2, 2, 2, 3, 4, 1, 2, 2, 2, 0, 4, 0, 0, 4, 2, 0, 4, 3, 0, 4, 2, 0, 3, 4, 2, 1, 3, 4, 1, 1, 4, 2, 2, 4, 4, 2, 0, 4, 3, 2, 2, 2, 1, 1, 3, 0, 3, 0, 3, 1, 4, 0, 0, 4, 3, 0, 3, 1, 2, 1, 3, 3, 4, 2, 4, 4, 0, 0, 0, 4, 0, 4, 0, 2, 3, 1, 3, 1, 2, 2, 2, 4, 1, 3, 1, 3, 2, 0, 2, 4, 4, 3, 1, 0, 0, 0, 3, 3, 4, 3, 3, 3, 3, 0, 0, 1, 0, 4, 3, 2, 0, 1, 3, 0, 4, 1, 3, 3, 2, 0, 2, 0, 3, 1, 0, 2, 0, 3, 2, 3, 2, 1, 4, 0, 2, 1, 4, 0, 4, 2, 3, 0, 3, 0, 2, 3, 3, 2, 1, 1, 2, 4, 0, 1, 4, 0, 0, 3, 0, 3, 3, 0, 1, 3, 3, 4, 4, 2, 3, 2, 2, 2, 4, 3, 0, 4, 1, 1, 2, 0, 1, 2, 3, 2, 1, 0, 0, 4, 0, 4, 1, 4, 2, 2, 4, 3, 0, 0, 3, 4, 1, 4, 1, 1, 2, 1, 3, 0, 3, 3, 1, 2, 1, 4, 3, 2, 1, 0, 1, 1, 0, 3, 4, 2, 0, 1, 0, 1, 0, 2, 4, 0, 2, 1, 3, 2, 0, 4, 4, 1, 3, 1, 0, 3, 1, 0, 3, 4, 3, 4, 3, 4, 1, 1, 3, 4, 4, 3, 0, 0, 4, 4, 3, 3, 1, 4, 3, 4, 1, 3, 4, 3, 2, 1, 1, 0, 1, 3, 3, 2, 3, 4, 1, 0, 0, 1] pubkeycol1455 = [0, 2, 3, 2, 4, 3, 1, 3, 3, 2, 3, 4, 2, 0, 3, 4, 0, 0, 4, 2, 1, 4, 4, 0, 1, 2, 1, 2, 4, 3, 4, 4, 0, 1, 2, 4, 2, 2, 3, 3, 4, 2, 2, 0, 1, 3, 3, 2, 3, 3, 3, 2, 4, 1, 2, 0, 1, 2, 3, 4, 0, 0, 1, 3, 2, 1, 2, 0, 2, 4, 1, 0, 4, 3, 3, 3, 2, 3, 4, 1, 1, 1, 1, 2, 3, 3, 0, 2, 4, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 1, 4, 0, 2, 1, 2, 1, 4, 3, 4, 0, 2, 2, 1, 4, 2, 3, 1, 4, 4, 2, 4, 3, 4, 1, 3, 1, 2, 4, 0, 1, 3, 3, 3, 1, 4, 2, 2, 3, 2, 1, 0, 0, 1, 4, 3, 4, 2, 0, 3, 2, 0, 0, 1, 0, 4, 2, 1, 4, 4, 1, 0, 4, 4, 4, 1, 3, 0, 1, 4, 4, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 3, 3, 2, 4, 3, 4, 3, 3, 0, 3, 4, 2, 0, 3, 2, 1, 2, 0, 1, 1, 1, 3, 4, 2, 3, 3, 1, 4, 3, 4, 1, 0, 1, 1, 1, 0, 3, 1, 2, 1, 2, 4, 0, 1, 3, 2, 2, 4, 2, 0, 2, 0, 1, 3, 1, 0, 4, 3, 2, 1, 2, 2, 1, 4, 4, 0, 2, 4, 3, 2, 4, 3, 0, 3, 4, 3, 3, 1, 3, 1, 2, 3, 3, 2, 0, 4, 1, 3, 3, 0, 2, 1, 2, 0, 0, 4, 4, 1, 1, 2, 1, 0, 0, 0, 4, 2, 3, 0, 1, 3, 4, 1, 4, 0, 4, 1, 3, 2, 3, 3, 1, 2, 2, 2, 1, 2, 1, 3, 3, 3, 2, 2, 2, 4, 1, 2, 1, 0, 4, 1, 1, 1, 2, 0, 0, 4, 2, 0, 2, 1, 2, 0, 1, 2, 4, 0, 2, 4, 0, 0, 3, 1, 4, 0, 0, 4, 2, 3, 3, 2, 2, 1, 1, 1, 1, 0, 2, 2, 3, 0, 2, 2, 0, 1, 3, 1, 0, 4, 1, 2, 0, 0, 0, 0, 3, 0, 1, 3, 0, 4, 4, 3, 2, 3, 2, 1, 1, 2, 1, 3, 4, 2, 2, 1, 3, 0, 3, 3, 0] pubkeycol1456 = [4, 1, 2, 4, 4, 4, 2, 0, 3, 1, 4, 2, 1, 3, 4, 1, 3, 3, 4, 4, 3, 0, 1, 1, 1, 2, 3, 2, 4, 0, 1, 4, 1, 2, 3, 2, 4, 1, 0, 0, 3, 2, 4, 3, 4, 3, 4, 4, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 4, 4, 3, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 3, 3, 4, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 4, 2, 3, 4, 4, 1, 2, 3, 3, 2, 0, 0, 3, 4, 3, 0, 4, 2, 4, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 4, 2, 4, 2, 1, 4, 3, 4, 1, 4, 1, 2, 3, 3, 0, 2, 3, 4, 4, 4, 1, 2, 3, 1, 1, 3, 3, 0, 3, 2, 3, 0, 0, 4, 1, 4, 1, 3, 2, 0, 1, 3, 4, 4, 2, 1, 1, 1, 4, 4, 3, 1, 1, 0, 1, 2, 3, 2, 4, 0, 3, 4, 3, 4, 2, 1, 4, 1, 2, 3, 0, 0, 3, 4, 4, 2, 0, 1, 0, 2, 1, 1, 0, 1, 4, 0, 0, 3, 4, 1, 4, 0, 4, 4, 1, 2, 0, 4, 0, 3, 1, 4, 2, 0, 1, 3, 4, 4, 0, 2, 2, 3, 0, 1, 4, 4, 4, 0, 0, 2, 0, 3, 2, 3, 0, 2, 0, 1, 0, 2, 2, 3, 4, 1, 4, 1, 4, 2, 4, 2, 2, 3, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 1, 0, 1, 2, 3, 3, 3, 2, 2, 1, 4, 1, 4, 4, 4, 0, 3, 0, 2, 3, 0, 4, 1, 3, 4, 4, 0, 1, 2, 2, 1, 4, 2, 1, 3, 0, 0, 0, 3, 1, 2, 4, 3, 4, 2, 0, 4, 3, 0, 2, 0, 0, 4, 4, 2, 3, 2, 2, 4, 0, 2, 0, 3, 0, 3, 3, 4, 2, 0, 3, 3, 0, 3, 0, 1, 2, 1, 1, 4, 3, 2, 3, 1, 3, 4, 1, 1, 3, 4, 1, 2, 2, 0, 0, 3, 3, 2, 0, 1, 0, 1, 1, 3, 4, 3, 3, 3, 3, 1, 3, 3, 2, 4, 1, 3, 1, 1, 3, 0, 0, 4, 3, 4, 4, 2, 0, 2, 2, 2, 2] pubkeycol1457 = [3, 0, 1, 3, 1, 1, 2, 4, 0, 3, 0, 0, 4, 1, 4, 2, 0, 1, 0, 3, 0, 0, 2, 0, 4, 4, 2, 0, 1, 0, 2, 4, 2, 1, 4, 1, 2, 2, 4, 4, 1, 1, 0, 4, 4, 0, 4, 0, 3, 3, 1, 0, 4, 1, 1, 0, 3, 3, 4, 0, 3, 4, 3, 1, 3, 3, 2, 1, 2, 1, 3, 1, 1, 4, 3, 1, 0, 3, 3, 4, 3, 3, 0, 1, 1, 4, 1, 4, 3, 3, 2, 3, 3, 0, 4, 3, 3, 3, 1, 4, 4, 3, 4, 3, 2, 0, 3, 3, 0, 2, 2, 0, 2, 3, 3, 0, 4, 3, 2, 0, 2, 0, 3, 3, 3, 1, 3, 0, 2, 0, 1, 4, 1, 3, 0, 2, 4, 1, 3, 4, 1, 2, 3, 1, 0, 4, 4, 4, 4, 3, 1, 3, 3, 0, 1, 0, 2, 3, 0, 4, 4, 2, 3, 2, 4, 1, 4, 0, 2, 1, 2, 2, 1, 2, 3, 1, 3, 0, 1, 2, 4, 3, 3, 2, 0, 3, 4, 2, 4, 3, 0, 2, 1, 0, 0, 4, 2, 3, 1, 4, 2, 0, 1, 1, 4, 1, 4, 1, 0, 3, 0, 2, 1, 1, 4, 3, 3, 1, 0, 4, 2, 1, 3, 0, 1, 3, 0, 0, 3, 3, 1, 2, 3, 0, 0, 2, 0, 0, 2, 1, 2, 2, 3, 1, 0, 2, 2, 4, 1, 3, 1, 1, 0, 4, 0, 3, 1, 2, 1, 2, 4, 3, 2, 2, 3, 0, 3, 0, 4, 4, 2, 0, 1, 3, 0, 0, 1, 2, 1, 1, 0, 3, 0, 0, 1, 3, 3, 0, 0, 0, 0, 1, 0, 1, 1, 0, 4, 2, 3, 4, 1, 4, 3, 2, 1, 4, 2, 2, 4, 4, 2, 4, 2, 3, 3, 0, 0, 1, 3, 3, 0, 2, 0, 0, 2, 1, 1, 3, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 3, 3, 4, 4, 1, 0, 3, 0, 2, 0, 4, 0, 1, 4, 2, 4, 3, 4, 3, 0, 2, 4, 0, 1, 1, 4, 0, 2, 2, 1, 4, 2, 4, 4, 2, 0, 1, 4, 2, 2, 4, 0, 0, 4, 0, 2, 0, 4, 4, 2, 1, 1, 1, 4, 0, 0, 0, 1, 3, 4] pubkeycol1458 = [3, 3, 3, 0, 0, 4, 1, 1, 4, 4, 3, 4, 2, 1, 1, 4, 2, 0, 1, 3, 1, 1, 4, 1, 0, 4, 4, 1, 0, 0, 2, 4, 3, 0, 1, 2, 4, 2, 4, 4, 0, 3, 0, 0, 2, 0, 4, 0, 0, 2, 2, 4, 3, 3, 2, 4, 4, 4, 2, 4, 3, 1, 2, 1, 2, 3, 4, 2, 2, 1, 1, 1, 2, 0, 1, 4, 0, 3, 2, 4, 0, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 4, 0, 2, 4, 3, 4, 4, 2, 3, 3, 0, 4, 0, 0, 4, 4, 4, 2, 0, 3, 4, 2, 2, 3, 0, 0, 4, 0, 0, 0, 0, 4, 2, 3, 3, 0, 0, 3, 4, 4, 2, 4, 1, 4, 0, 3, 2, 4, 1, 2, 1, 2, 2, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 2, 1, 0, 3, 0, 4, 4, 3, 0, 1, 4, 1, 3, 1, 0, 1, 0, 3, 1, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 4, 1, 4, 3, 4, 3, 1, 3, 4, 2, 3, 4, 2, 4, 2, 1, 2, 1, 1, 1, 2, 4, 0, 4, 1, 0, 2, 0, 4, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 4, 1, 2, 2, 3, 1, 4, 3, 1, 1, 2, 4, 4, 2, 4, 1, 0, 0, 3, 1, 2, 3, 1, 2, 3, 0, 2, 3, 4, 1, 2, 4, 3, 0, 3, 4, 2, 0, 1, 3, 2, 0, 3, 3, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 2, 4, 0, 4, 4, 1, 3, 3, 3, 2, 2, 2, 2, 0, 4, 2, 4, 3, 3, 4, 4, 4, 4, 4, 2, 3, 0, 0, 3, 0, 3, 1, 4, 2, 1, 2, 2, 2, 3, 2, 4, 4, 0, 1, 2, 0, 1, 4, 0, 2, 4, 4, 4, 2, 2, 1, 2, 1, 0, 2, 0, 0, 3, 0, 1, 1, 0, 3, 2, 0, 0, 4, 1, 1, 2, 1, 4, 1, 1, 4, 0, 2, 0, 4, 2, 1, 2, 0, 4, 3, 4, 4, 0, 1, 4, 1, 2, 4, 0, 3, 0, 0, 0, 4, 1, 0, 3, 4, 3, 3, 4, 1, 0, 1, 2, 0, 4, 3, 1, 4, 2] pubkeycol1459 = [3, 2, 4, 3, 4, 2, 0, 2, 2, 2, 2, 2, 3, 3, 4, 3, 1, 4, 0, 0, 4, 0, 2, 3, 1, 2, 2, 2, 0, 4, 2, 4, 0, 1, 0, 1, 2, 1, 3, 1, 1, 2, 1, 0, 2, 1, 3, 2, 0, 2, 1, 3, 1, 0, 4, 2, 0, 0, 4, 2, 3, 2, 0, 2, 4, 2, 3, 0, 2, 3, 1, 2, 2, 0, 4, 0, 3, 2, 2, 3, 4, 1, 0, 3, 1, 4, 0, 4, 2, 2, 1, 2, 3, 1, 4, 4, 2, 3, 2, 2, 4, 4, 4, 0, 0, 0, 2, 4, 3, 1, 4, 0, 0, 3, 1, 0, 0, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 0, 0, 3, 1, 3, 4, 3, 2, 3, 4, 1, 3, 0, 2, 4, 1, 3, 3, 3, 0, 1, 0, 3, 0, 2, 2, 0, 3, 1, 0, 1, 1, 2, 3, 0, 4, 0, 2, 3, 4, 3, 1, 2, 2, 3, 3, 4, 1, 1, 0, 3, 4, 2, 4, 0, 0, 0, 0, 0, 2, 0, 1, 3, 2, 0, 0, 3, 1, 1, 4, 1, 1, 4, 0, 2, 3, 2, 2, 4, 1, 2, 0, 0, 1, 3, 4, 4, 3, 0, 4, 4, 3, 0, 1, 0, 4, 3, 4, 3, 1, 3, 2, 4, 2, 0, 1, 1, 0, 3, 0, 4, 4, 0, 3, 1, 2, 0, 0, 4, 2, 0, 1, 2, 2, 2, 1, 3, 1, 3, 4, 4, 3, 1, 4, 1, 0, 2, 4, 4, 1, 1, 0, 4, 0, 2, 3, 3, 4, 0, 1, 2, 1, 2, 0, 3, 4, 2, 2, 3, 3, 0, 3, 4, 2, 1, 1, 3, 3, 0, 0, 3, 0, 1, 1, 1, 3, 3, 0, 4, 2, 4, 0, 2, 1, 0, 0, 4, 0, 1, 0, 3, 3, 1, 1, 4, 1, 1, 1, 0, 4, 4, 3, 3, 3, 2, 4, 3, 3, 1, 1, 0, 1, 4, 4, 4, 3, 2, 3, 3, 4, 1, 4, 3, 1, 0, 0, 3, 0, 1, 4, 4, 3, 3, 0, 3, 1, 4, 4, 2, 1, 3, 4, 0, 0, 4, 3, 2, 0, 0, 1, 2, 3, 3, 1, 0, 3, 1, 4, 2, 2, 2, 1, 2, 3, 0, 2, 0, 4, 1, 4, 1, 2, 1] pubkeycol1460 = [1, 4, 1, 0, 1, 2, 4, 3, 3, 0, 4, 0, 2, 3, 3, 2, 3, 0, 3, 4, 1, 2, 0, 3, 3, 4, 1, 3, 0, 3, 4, 2, 3, 4, 1, 2, 1, 3, 4, 0, 4, 1, 0, 2, 0, 1, 0, 3, 0, 2, 2, 2, 1, 3, 4, 4, 0, 3, 1, 0, 4, 0, 0, 3, 0, 1, 3, 3, 3, 0, 0, 2, 4, 2, 0, 0, 3, 4, 0, 4, 0, 1, 4, 2, 4, 4, 1, 0, 0, 1, 1, 3, 2, 0, 4, 0, 4, 4, 3, 4, 3, 4, 0, 4, 0, 3, 1, 0, 0, 0, 3, 1, 2, 4, 1, 2, 0, 4, 2, 4, 4, 3, 0, 4, 3, 1, 3, 0, 3, 0, 4, 1, 1, 4, 4, 2, 3, 2, 4, 1, 4, 0, 4, 2, 1, 3, 1, 3, 3, 4, 1, 1, 0, 1, 3, 3, 4, 1, 3, 2, 4, 0, 0, 4, 3, 4, 1, 0, 2, 2, 2, 2, 3, 4, 0, 3, 3, 2, 4, 0, 1, 4, 1, 3, 2, 4, 2, 2, 2, 4, 3, 0, 1, 0, 0, 4, 3, 0, 1, 0, 3, 4, 0, 1, 0, 3, 0, 3, 0, 1, 0, 3, 0, 0, 1, 3, 1, 0, 4, 1, 2, 4, 1, 3, 2, 3, 4, 4, 3, 2, 4, 0, 0, 0, 1, 0, 0, 0, 4, 3, 4, 4, 0, 1, 0, 3, 3, 4, 4, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 3, 0, 3, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 4, 2, 4, 2, 3, 3, 2, 2, 3, 1, 4, 0, 2, 1, 0, 3, 4, 4, 0, 0, 3, 0, 1, 1, 4, 2, 2, 2, 1, 1, 1, 1, 3, 0, 0, 3, 4, 4, 4, 0, 4, 4, 3, 0, 1, 4, 4, 4, 0, 2, 2, 2, 4, 3, 3, 4, 0, 1, 4, 1, 4, 4, 1, 2, 4, 0, 0, 2, 3, 4, 0, 2, 1, 2, 3, 0, 0, 4, 4, 3, 1, 0, 4, 1, 0, 1, 2, 2, 0, 0, 2, 2, 4, 3, 1, 3, 2, 0, 3, 1, 2, 4, 2, 3, 3, 4, 3, 1, 1, 0, 0, 0, 1, 3, 1, 3, 2, 2, 3, 3, 3, 1, 4, 3, 2, 4, 1, 0] pubkeycol1461 = [3, 3, 2, 3, 4, 2, 1, 1, 1, 3, 1, 2, 2, 4, 0, 2, 2, 1, 4, 3, 4, 3, 2, 0, 0, 3, 0, 3, 3, 3, 2, 2, 4, 3, 0, 1, 4, 1, 1, 4, 0, 3, 0, 1, 3, 0, 1, 2, 3, 0, 3, 4, 3, 0, 1, 0, 1, 4, 0, 2, 1, 3, 3, 4, 1, 3, 1, 1, 0, 3, 4, 1, 2, 1, 0, 1, 2, 1, 2, 4, 3, 1, 4, 3, 3, 1, 0, 1, 1, 4, 2, 0, 2, 1, 1, 1, 2, 0, 1, 4, 4, 0, 3, 0, 0, 2, 1, 0, 3, 2, 1, 4, 1, 0, 4, 3, 1, 3, 3, 3, 3, 0, 4, 3, 4, 0, 3, 0, 0, 2, 1, 0, 2, 4, 3, 2, 2, 4, 4, 3, 4, 4, 2, 0, 3, 4, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 4, 2, 0, 4, 0, 2, 1, 4, 0, 2, 1, 3, 4, 4, 0, 2, 4, 1, 0, 3, 4, 2, 3, 0, 0, 1, 1, 2, 1, 4, 1, 1, 2, 4, 2, 4, 1, 4, 4, 4, 3, 2, 1, 4, 3, 4, 4, 3, 4, 2, 2, 4, 0, 3, 1, 0, 0, 4, 4, 0, 2, 3, 1, 3, 0, 2, 0, 4, 3, 0, 2, 4, 2, 2, 3, 3, 2, 2, 1, 0, 4, 2, 0, 0, 4, 4, 1, 3, 0, 2, 3, 0, 0, 4, 3, 1, 4, 3, 2, 3, 0, 1, 2, 4, 3, 0, 2, 1, 2, 2, 2, 4, 4, 2, 3, 1, 3, 3, 1, 3, 0, 2, 2, 1, 1, 1, 2, 1, 1, 4, 1, 0, 4, 3, 2, 3, 0, 1, 1, 2, 1, 2, 0, 3, 4, 0, 4, 0, 1, 4, 3, 1, 2, 4, 4, 1, 3, 2, 1, 4, 0, 3, 0, 0, 4, 0, 3, 2, 1, 0, 4, 4, 2, 1, 4, 1, 3, 0, 1, 2, 0, 3, 0, 4, 3, 3, 3, 3, 4, 0, 4, 3, 2, 2, 0, 0, 2, 4, 1, 1, 1, 0, 1, 2, 3, 1, 3, 2, 1, 2, 1, 4, 0, 0, 2, 1, 4, 3, 2, 2, 0, 2, 3, 0, 2, 0, 3, 2, 1, 4, 0, 2, 3, 0, 1, 3, 3, 1, 3, 1, 2, 3, 0] pubkeycol1462 = [2, 4, 0, 3, 3, 0, 0, 0, 2, 4, 4, 0, 4, 3, 3, 2, 1, 4, 3, 0, 0, 4, 3, 3, 1, 4, 4, 3, 3, 3, 0, 2, 4, 4, 1, 3, 2, 1, 1, 1, 4, 4, 0, 1, 2, 2, 0, 0, 0, 1, 2, 3, 0, 4, 3, 1, 2, 1, 3, 1, 4, 2, 0, 4, 1, 4, 0, 2, 3, 2, 4, 3, 1, 4, 4, 2, 0, 2, 4, 2, 3, 2, 1, 3, 2, 4, 1, 2, 1, 1, 0, 3, 1, 0, 0, 3, 2, 0, 4, 1, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 2, 1, 4, 4, 2, 3, 3, 2, 3, 3, 0, 2, 4, 2, 4, 4, 3, 4, 4, 1, 4, 3, 3, 4, 1, 3, 1, 4, 4, 3, 1, 0, 1, 4, 2, 2, 0, 4, 2, 4, 2, 4, 1, 0, 1, 3, 0, 0, 1, 4, 0, 2, 3, 3, 3, 3, 2, 0, 2, 3, 0, 2, 4, 3, 3, 2, 4, 4, 3, 3, 4, 3, 3, 0, 2, 4, 4, 4, 3, 2, 4, 3, 4, 3, 1, 4, 4, 0, 4, 1, 0, 0, 2, 1, 4, 2, 2, 4, 0, 4, 4, 1, 0, 3, 2, 2, 0, 0, 0, 0, 0, 4, 3, 1, 2, 4, 1, 4, 3, 2, 1, 3, 0, 1, 4, 4, 3, 0, 1, 2, 2, 0, 1, 0, 0, 4, 2, 2, 3, 2, 2, 2, 2, 3, 4, 4, 0, 4, 4, 0, 1, 3, 3, 4, 1, 4, 2, 1, 2, 2, 3, 2, 2, 0, 0, 2, 0, 0, 2, 2, 4, 4, 3, 4, 0, 3, 2, 2, 4, 1, 3, 4, 3, 4, 2, 4, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 3, 4, 4, 0, 4, 4, 1, 3, 1, 3, 2, 0, 0, 0, 4, 2, 1, 2, 4, 0, 3, 2, 1, 1, 0, 1, 4, 4, 2, 2, 4, 0, 0, 3, 1, 1, 2, 0, 1, 2, 3, 2, 4, 3, 1, 2, 2, 1, 3, 3, 1, 1, 1, 0, 3, 3, 1, 1, 3, 4, 0, 1, 1, 4, 1, 4, 0, 4, 1, 3, 1, 1, 4, 2, 1, 4, 2, 4, 3, 4, 1, 4, 0, 2, 1, 4, 0, 3, 2, 3, 0, 2, 2, 2] pubkeycol1463 = [1, 4, 1, 4, 1, 0, 3, 3, 1, 3, 4, 3, 0, 0, 3, 3, 0, 4, 2, 2, 2, 4, 4, 2, 2, 4, 1, 0, 1, 1, 0, 3, 2, 3, 3, 4, 4, 2, 1, 3, 2, 1, 2, 0, 2, 0, 0, 3, 2, 2, 0, 1, 1, 1, 3, 2, 1, 3, 0, 0, 3, 4, 1, 1, 1, 2, 2, 3, 0, 3, 4, 2, 3, 0, 0, 2, 1, 1, 2, 2, 3, 0, 3, 2, 3, 0, 4, 2, 2, 1, 2, 1, 0, 0, 4, 0, 0, 3, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 4, 1, 3, 0, 0, 1, 2, 3, 4, 4, 3, 4, 0, 2, 4, 4, 1, 2, 0, 3, 2, 3, 0, 0, 2, 4, 4, 4, 1, 4, 4, 3, 2, 4, 2, 0, 4, 1, 1, 0, 1, 3, 1, 0, 2, 1, 2, 3, 1, 2, 2, 4, 2, 2, 0, 3, 4, 4, 0, 0, 3, 2, 4, 0, 1, 3, 1, 3, 4, 3, 4, 1, 3, 4, 0, 2, 0, 3, 3, 3, 4, 4, 1, 0, 0, 4, 2, 0, 2, 3, 2, 1, 1, 1, 0, 1, 0, 4, 1, 0, 3, 4, 3, 0, 2, 3, 3, 0, 1, 3, 4, 0, 4, 3, 2, 4, 3, 0, 0, 0, 0, 3, 4, 3, 2, 2, 2, 0, 2, 1, 3, 0, 1, 0, 4, 1, 1, 3, 2, 1, 0, 3, 3, 0, 3, 0, 2, 4, 0, 2, 3, 3, 1, 2, 0, 3, 3, 2, 4, 4, 4, 2, 0, 1, 0, 3, 4, 0, 0, 1, 2, 4, 3, 4, 3, 2, 4, 1, 0, 2, 0, 3, 1, 1, 1, 0, 2, 0, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 0, 4, 0, 2, 4, 0, 0, 3, 1, 1, 0, 4, 2, 0, 1, 3, 2, 3, 1, 2, 3, 3, 4, 4, 3, 4, 2, 3, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 3, 0, 2, 2, 0, 4, 3, 2, 3, 2, 2, 2, 0, 0, 2, 4, 3, 2, 2, 3, 1, 2, 2, 2, 0, 3, 2, 1, 0, 0, 2, 0, 0, 1, 4, 0, 3, 4, 3, 2, 4, 2, 1, 1, 1, 2, 4, 1, 0, 3, 3, 2, 0, 4] pubkeycol1464 = [3, 1, 0, 0, 2, 1, 0, 4, 1, 0, 1, 1, 0, 4, 3, 3, 2, 0, 1, 2, 1, 4, 2, 0, 4, 2, 3, 1, 1, 0, 4, 0, 0, 0, 3, 1, 0, 3, 2, 4, 3, 4, 4, 0, 3, 2, 1, 1, 3, 3, 1, 1, 0, 4, 4, 0, 2, 2, 3, 1, 3, 3, 0, 1, 0, 1, 4, 0, 3, 3, 3, 1, 0, 2, 1, 3, 0, 4, 1, 2, 1, 4, 2, 1, 4, 1, 1, 2, 0, 3, 3, 2, 2, 0, 2, 3, 0, 0, 4, 4, 0, 1, 3, 4, 3, 0, 2, 1, 0, 1, 3, 1, 4, 3, 2, 1, 3, 4, 1, 2, 4, 0, 1, 0, 4, 0, 3, 1, 2, 3, 4, 0, 1, 4, 1, 3, 3, 4, 3, 0, 3, 4, 1, 1, 4, 3, 0, 4, 0, 1, 0, 3, 1, 0, 0, 1, 1, 4, 0, 3, 2, 3, 2, 2, 1, 4, 2, 1, 0, 1, 1, 2, 0, 2, 4, 3, 0, 0, 1, 2, 0, 1, 3, 0, 0, 2, 1, 4, 4, 2, 0, 1, 2, 0, 0, 4, 2, 3, 1, 4, 4, 0, 0, 2, 0, 0, 0, 1, 4, 0, 0, 0, 3, 4, 1, 1, 3, 3, 0, 2, 1, 4, 0, 2, 4, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 4, 3, 4, 2, 0, 1, 0, 3, 1, 4, 2, 0, 0, 0, 4, 3, 0, 2, 2, 0, 4, 2, 0, 3, 4, 4, 4, 4, 3, 4, 0, 0, 0, 0, 4, 2, 3, 2, 4, 2, 4, 2, 4, 2, 0, 0, 1, 3, 2, 3, 2, 3, 4, 2, 4, 2, 3, 1, 1, 4, 1, 3, 3, 0, 1, 1, 0, 4, 4, 2, 4, 0, 3, 4, 1, 0, 2, 1, 4, 4, 1, 4, 0, 1, 1, 4, 3, 4, 0, 1, 0, 1, 3, 1, 4, 1, 4, 3, 3, 3, 0, 3, 4, 3, 3, 4, 3, 1, 4, 4, 2, 4, 1, 0, 2, 0, 0, 1, 3, 4, 2, 2, 3, 2, 3, 4, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 1, 2, 1, 1, 1, 3, 4, 2, 3, 0, 3, 3, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 4, 0, 1, 0, 1, 2, 1] pubkeycol1465 = [1, 4, 0, 3, 3, 1, 4, 4, 3, 1, 2, 0, 3, 1, 1, 2, 4, 3, 2, 1, 2, 3, 2, 3, 1, 2, 1, 0, 0, 2, 4, 4, 0, 4, 2, 2, 1, 2, 1, 0, 3, 4, 4, 3, 1, 0, 3, 3, 0, 2, 0, 4, 4, 0, 3, 1, 0, 1, 3, 4, 0, 2, 2, 1, 4, 2, 3, 2, 0, 4, 3, 2, 3, 3, 1, 1, 4, 0, 3, 3, 1, 4, 4, 2, 0, 2, 4, 0, 2, 4, 0, 1, 1, 3, 0, 2, 4, 3, 2, 3, 0, 2, 0, 4, 4, 3, 1, 3, 3, 2, 3, 3, 4, 2, 0, 4, 4, 2, 2, 4, 3, 0, 3, 4, 0, 1, 4, 2, 4, 0, 3, 1, 0, 3, 2, 0, 4, 1, 0, 0, 0, 0, 1, 3, 0, 1, 0, 1, 4, 4, 3, 1, 1, 1, 3, 4, 4, 0, 3, 1, 4, 2, 2, 0, 2, 2, 4, 1, 0, 3, 1, 4, 4, 1, 1, 4, 2, 2, 3, 1, 1, 0, 0, 3, 1, 4, 4, 0, 3, 0, 3, 3, 3, 0, 4, 0, 0, 3, 3, 2, 3, 0, 4, 0, 1, 2, 1, 3, 2, 0, 1, 2, 3, 2, 4, 0, 4, 4, 2, 0, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 4, 3, 4, 2, 1, 0, 1, 2, 1, 3, 3, 3, 2, 2, 2, 0, 4, 2, 2, 4, 3, 4, 2, 2, 0, 4, 2, 0, 3, 2, 2, 2, 4, 2, 0, 1, 0, 2, 3, 2, 4, 0, 4, 4, 3, 4, 1, 2, 4, 1, 3, 1, 2, 4, 1, 1, 1, 4, 2, 0, 3, 2, 3, 4, 3, 3, 2, 0, 4, 3, 1, 4, 3, 1, 4, 1, 2, 1, 0, 3, 2, 2, 2, 4, 1, 0, 4, 3, 1, 1, 0, 3, 1, 1, 0, 4, 1, 1, 1, 2, 3, 1, 4, 4, 2, 1, 4, 2, 2, 4, 1, 0, 0, 0, 0, 3, 2, 0, 2, 1, 0, 3, 3, 2, 2, 1, 0, 3, 2, 1, 0, 4, 2, 4, 1, 3, 2, 0, 0, 1, 3, 1, 3, 2, 0, 4, 1, 4, 2, 1, 2, 4, 0, 1, 0, 4, 0, 0, 0, 1, 3, 1, 4, 2, 4, 2, 3, 0, 2, 2] pubkeycol1466 = [3, 0, 2, 0, 1, 1, 4, 3, 4, 3, 2, 0, 2, 1, 4, 0, 3, 0, 1, 3, 0, 1, 3, 0, 2, 2, 4, 1, 2, 2, 4, 0, 3, 2, 0, 3, 1, 2, 0, 4, 3, 4, 3, 1, 4, 1, 3, 2, 1, 1, 3, 1, 4, 1, 4, 2, 3, 0, 2, 4, 0, 0, 0, 1, 2, 3, 4, 3, 1, 2, 1, 4, 1, 3, 0, 2, 4, 0, 0, 2, 0, 4, 3, 1, 2, 3, 3, 4, 2, 1, 3, 2, 3, 4, 0, 2, 3, 4, 4, 4, 4, 3, 2, 1, 2, 1, 0, 2, 4, 3, 0, 0, 1, 0, 1, 2, 0, 3, 0, 4, 0, 3, 3, 4, 0, 4, 1, 2, 3, 0, 0, 2, 4, 3, 2, 3, 4, 1, 0, 2, 0, 4, 3, 3, 2, 0, 4, 4, 2, 4, 1, 0, 3, 2, 1, 0, 1, 3, 3, 3, 4, 4, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 0, 3, 1, 3, 1, 2, 1, 4, 2, 2, 4, 4, 3, 4, 3, 0, 4, 1, 2, 4, 4, 2, 2, 0, 0, 2, 1, 4, 0, 2, 4, 1, 4, 0, 0, 0, 2, 2, 2, 2, 0, 3, 4, 2, 2, 0, 2, 2, 3, 1, 4, 3, 4, 1, 4, 2, 0, 4, 0, 1, 4, 2, 1, 3, 2, 4, 0, 0, 1, 0, 3, 2, 3, 3, 4, 0, 0, 3, 0, 4, 0, 3, 2, 3, 3, 0, 1, 3, 0, 2, 4, 0, 0, 2, 4, 4, 0, 0, 1, 2, 4, 1, 0, 0, 3, 1, 2, 1, 0, 1, 4, 1, 4, 2, 4, 1, 3, 3, 3, 0, 3, 4, 3, 3, 0, 0, 0, 2, 2, 4, 0, 1, 0, 3, 2, 3, 3, 0, 0, 2, 1, 4, 1, 2, 1, 2, 3, 0, 0, 1, 4, 4, 0, 4, 4, 0, 3, 0, 1, 2, 0, 0, 0, 1, 3, 2, 3, 1, 0, 2, 1, 1, 4, 2, 1, 1, 2, 3, 4, 2, 0, 2, 0, 4, 1, 2, 4, 4, 0, 2, 0, 4, 0, 2, 0, 4, 2, 4, 4, 0, 2, 0, 4, 0, 2, 1, 0, 0, 0, 3, 3, 3, 0, 4, 1, 1, 3, 4, 2, 1, 4, 4, 4, 0, 4, 0, 4, 0] pubkeycol1467 = [0, 4, 4, 4, 1, 0, 0, 2, 2, 3, 2, 3, 0, 3, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 4, 2, 1, 0, 4, 4, 0, 1, 0, 1, 3, 0, 3, 3, 2, 3, 3, 3, 4, 1, 1, 2, 1, 3, 0, 4, 1, 0, 3, 0, 1, 3, 0, 3, 4, 4, 2, 3, 0, 4, 3, 4, 1, 1, 2, 0, 0, 4, 2, 4, 4, 2, 0, 2, 3, 1, 2, 0, 0, 2, 4, 0, 4, 1, 3, 2, 1, 2, 2, 2, 3, 4, 0, 1, 1, 0, 2, 1, 1, 4, 1, 3, 2, 2, 2, 3, 2, 4, 1, 2, 0, 4, 4, 0, 3, 1, 3, 2, 3, 1, 4, 1, 0, 4, 2, 2, 3, 2, 2, 4, 1, 3, 1, 1, 1, 4, 1, 2, 3, 4, 3, 1, 3, 0, 1, 0, 1, 4, 0, 0, 4, 0, 3, 1, 3, 0, 0, 0, 2, 3, 3, 0, 1, 3, 4, 1, 1, 4, 0, 0, 1, 0, 2, 2, 2, 1, 0, 3, 2, 3, 2, 0, 4, 0, 3, 2, 3, 0, 3, 0, 2, 1, 4, 1, 3, 3, 2, 3, 0, 4, 0, 3, 1, 1, 0, 3, 2, 3, 2, 0, 1, 2, 2, 4, 0, 2, 0, 0, 4, 4, 4, 0, 3, 3, 3, 1, 0, 4, 0, 3, 3, 4, 2, 3, 0, 0, 0, 3, 0, 4, 4, 0, 3, 2, 1, 3, 1, 4, 0, 0, 3, 3, 2, 0, 3, 0, 3, 3, 1, 3, 1, 3, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 4, 1, 0, 3, 3, 3, 1, 0, 3, 4, 4, 4, 1, 4, 3, 0, 2, 4, 4, 4, 4, 3, 1, 4, 1, 4, 1, 2, 0, 2, 2, 4, 0, 3, 3, 2, 0, 4, 4, 4, 2, 3, 2, 3, 1, 2, 3, 4, 4, 4, 0, 0, 1, 0, 3, 2, 3, 0, 2, 1, 4, 2, 2, 3, 0, 4, 3, 2, 3, 3, 0, 4, 3, 4, 4, 4, 2, 0, 2, 3, 4, 3, 0, 1, 2, 0, 3, 0, 4, 1, 0, 3, 2, 0, 2, 3, 1, 1, 0, 1, 4, 4, 3, 1, 0, 4, 0, 1, 1, 1, 4, 4, 0, 1, 0, 2, 4, 3, 0, 1] pubkeycol1468 = [1, 3, 3, 0, 4, 0, 1, 0, 0, 2, 3, 0, 1, 0, 1, 1, 4, 0, 2, 1, 0, 1, 4, 0, 4, 2, 3, 1, 3, 0, 0, 1, 1, 3, 1, 3, 4, 4, 3, 0, 0, 4, 0, 1, 2, 4, 0, 2, 0, 1, 4, 0, 4, 3, 4, 1, 0, 0, 1, 3, 4, 2, 2, 0, 0, 3, 1, 1, 3, 4, 2, 1, 3, 0, 3, 4, 3, 4, 1, 1, 0, 2, 2, 3, 1, 0, 4, 1, 1, 2, 0, 3, 2, 1, 1, 2, 0, 3, 3, 1, 3, 2, 2, 1, 0, 2, 4, 1, 4, 3, 4, 4, 4, 2, 2, 4, 2, 1, 3, 0, 2, 0, 4, 4, 0, 1, 0, 3, 0, 0, 2, 1, 3, 0, 4, 2, 3, 3, 0, 4, 4, 3, 0, 4, 2, 0, 0, 0, 0, 2, 1, 4, 3, 2, 0, 2, 3, 0, 3, 3, 3, 3, 4, 2, 0, 4, 1, 1, 2, 2, 4, 2, 3, 4, 2, 1, 0, 3, 3, 1, 0, 3, 2, 1, 0, 1, 0, 0, 4, 3, 3, 0, 4, 0, 4, 3, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 4, 0, 4, 2, 4, 1, 3, 3, 1, 4, 4, 3, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 3, 1, 2, 2, 4, 4, 1, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 3, 1, 3, 1, 3, 4, 0, 0, 0, 1, 1, 2, 2, 4, 3, 1, 1, 2, 0, 0, 2, 3, 2, 0, 2, 3, 1, 2, 1, 2, 3, 4, 1, 1, 0, 1, 2, 1, 2, 4, 4, 3, 4, 2, 2, 1, 0, 1, 1, 0, 1, 2, 3, 0, 3, 2, 4, 3, 3, 1, 1, 4, 0, 4, 4, 4, 2, 0, 2, 1, 4, 3, 0, 1, 3, 1, 3, 1, 0, 3, 2, 4, 0, 4, 2, 0, 3, 0, 0, 2, 4, 1, 2, 3, 3, 3, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 3, 3, 2, 3, 1, 2, 4, 4, 0, 2, 3, 1, 1, 0, 2, 4, 4, 4, 1, 3, 2, 4, 4, 2, 1, 1, 2, 4, 3, 3, 4, 0, 4, 1, 1, 1, 1, 4, 2, 0, 1, 1, 0] pubkeycol1469 = [4, 0, 2, 1, 4, 2, 1, 3, 0, 1, 3, 3, 0, 2, 4, 3, 3, 0, 3, 4, 1, 2, 2, 4, 1, 4, 2, 3, 0, 2, 3, 4, 0, 3, 0, 4, 0, 4, 4, 4, 0, 4, 3, 4, 2, 0, 4, 2, 2, 0, 0, 2, 3, 3, 2, 4, 4, 1, 0, 2, 3, 0, 3, 1, 1, 3, 2, 1, 1, 4, 4, 2, 3, 4, 0, 2, 4, 2, 3, 2, 3, 1, 3, 3, 0, 3, 3, 2, 0, 3, 2, 4, 0, 2, 4, 4, 1, 3, 0, 0, 1, 1, 2, 0, 4, 2, 1, 1, 4, 3, 2, 2, 4, 3, 4, 1, 3, 4, 3, 0, 4, 2, 0, 0, 0, 1, 3, 4, 4, 1, 3, 1, 2, 3, 4, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 1, 4, 2, 3, 4, 1, 2, 1, 3, 4, 1, 1, 0, 3, 0, 4, 4, 2, 3, 4, 3, 4, 4, 4, 1, 0, 4, 2, 1, 2, 3, 2, 1, 3, 4, 3, 2, 1, 3, 2, 3, 3, 0, 2, 4, 3, 2, 2, 1, 2, 2, 3, 2, 4, 3, 4, 0, 1, 4, 1, 1, 4, 4, 1, 0, 2, 0, 3, 3, 0, 2, 4, 2, 4, 2, 0, 2, 0, 2, 1, 2, 3, 1, 3, 0, 4, 2, 0, 1, 0, 0, 4, 3, 1, 0, 3, 0, 4, 0, 2, 0, 3, 3, 2, 1, 4, 0, 3, 1, 2, 4, 0, 1, 3, 3, 1, 3, 2, 4, 0, 4, 4, 1, 1, 2, 3, 1, 4, 4, 2, 2, 3, 0, 4, 1, 0, 3, 4, 3, 3, 1, 2, 4, 0, 0, 1, 1, 0, 0, 0, 2, 3, 4, 3, 2, 1, 4, 2, 0, 1, 4, 1, 1, 1, 4, 1, 4, 2, 3, 0, 0, 3, 4, 2, 1, 3, 0, 1, 2, 2, 0, 3, 0, 2, 1, 1, 2, 0, 0, 4, 1, 1, 3, 2, 2, 2, 4, 3, 0, 2, 3, 4, 1, 3, 2, 0, 4, 0, 3, 0, 3, 2, 3, 0, 0, 4, 1, 2, 2, 2, 4, 4, 0, 4, 1, 4, 0, 4, 3, 0, 1, 2, 1, 0, 3, 4, 1, 1, 4, 4, 3, 2, 1, 1, 4, 1, 2, 1, 2, 0, 3, 1, 1, 0, 2] pubkeycol1470 = [3, 0, 4, 0, 2, 3, 0, 3, 1, 3, 1, 2, 1, 2, 4, 4, 0, 1, 3, 2, 2, 3, 2, 3, 1, 1, 0, 1, 2, 1, 2, 3, 1, 0, 2, 4, 1, 0, 0, 3, 1, 0, 2, 2, 4, 1, 0, 2, 1, 3, 0, 4, 2, 1, 2, 0, 3, 0, 0, 4, 3, 2, 2, 3, 1, 2, 2, 1, 0, 1, 2, 3, 3, 0, 2, 3, 4, 4, 2, 1, 4, 4, 2, 2, 3, 4, 2, 0, 1, 1, 1, 4, 2, 0, 4, 1, 4, 3, 2, 3, 4, 3, 1, 3, 3, 0, 2, 2, 4, 1, 0, 0, 0, 1, 3, 3, 2, 2, 3, 2, 1, 4, 4, 1, 1, 0, 0, 1, 3, 4, 0, 4, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 3, 4, 0, 4, 1, 1, 3, 3, 1, 0, 1, 4, 2, 2, 2, 1, 1, 2, 2, 3, 1, 0, 4, 0, 0, 4, 4, 0, 1, 3, 2, 4, 2, 0, 1, 0, 4, 3, 4, 1, 2, 4, 2, 4, 4, 2, 1, 2, 0, 0, 2, 3, 4, 4, 2, 4, 2, 2, 3, 1, 3, 0, 3, 1, 2, 0, 3, 2, 4, 0, 3, 3, 4, 4, 3, 4, 0, 1, 2, 4, 4, 3, 0, 2, 3, 0, 0, 3, 3, 3, 2, 3, 2, 2, 1, 0, 1, 3, 3, 0, 0, 1, 4, 3, 1, 3, 1, 3, 1, 4, 3, 1, 3, 1, 1, 1, 1, 4, 1, 3, 3, 0, 1, 3, 2, 2, 0, 1, 4, 1, 2, 3, 4, 0, 2, 4, 3, 2, 2, 2, 1, 2, 1, 2, 1, 1, 3, 4, 2, 3, 3, 4, 3, 2, 0, 4, 2, 4, 4, 1, 4, 0, 2, 4, 2, 1, 4, 4, 2, 4, 2, 1, 2, 0, 1, 4, 3, 3, 3, 2, 1, 1, 2, 2, 3, 3, 2, 4, 0, 0, 2, 3, 2, 2, 1, 0, 3, 1, 0, 0, 3, 1, 1, 4, 1, 0, 2, 2, 4, 2, 4, 0, 2, 0, 0, 1, 3, 3, 3, 1, 4, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 4, 3, 0, 2, 2, 0, 2, 2, 2, 2, 0, 4, 1, 2, 2, 1, 4, 2, 1, 2, 2, 2] pubkeycol1471 = [4, 2, 1, 1, 1, 1, 4, 4, 1, 3, 0, 1, 0, 2, 2, 2, 3, 3, 3, 2, 3, 3, 4, 3, 1, 0, 4, 1, 1, 3, 1, 2, 3, 1, 0, 4, 3, 3, 4, 2, 3, 2, 3, 2, 2, 4, 4, 2, 4, 1, 3, 1, 1, 2, 0, 3, 1, 3, 4, 4, 4, 2, 4, 3, 0, 3, 4, 4, 1, 2, 2, 0, 3, 2, 2, 1, 3, 2, 2, 1, 1, 0, 1, 4, 1, 1, 3, 2, 0, 3, 3, 4, 0, 3, 1, 1, 1, 1, 4, 4, 4, 3, 2, 0, 1, 1, 2, 3, 3, 4, 2, 0, 1, 3, 2, 0, 2, 1, 2, 1, 1, 1, 4, 3, 4, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 0, 2, 3, 2, 3, 3, 2, 3, 1, 1, 4, 1, 0, 2, 0, 0, 1, 2, 4, 2, 1, 1, 3, 3, 3, 3, 0, 3, 2, 0, 3, 3, 2, 4, 2, 3, 0, 0, 4, 4, 1, 4, 0, 2, 2, 1, 2, 1, 0, 0, 4, 1, 3, 3, 1, 3, 2, 3, 2, 4, 1, 0, 4, 0, 2, 3, 4, 2, 2, 3, 0, 0, 0, 2, 4, 1, 2, 1, 2, 3, 4, 1, 1, 1, 2, 0, 4, 1, 3, 4, 3, 2, 0, 4, 2, 2, 0, 3, 0, 2, 0, 1, 4, 1, 2, 1, 3, 4, 4, 4, 1, 3, 3, 1, 1, 0, 3, 0, 4, 2, 3, 2, 3, 1, 2, 1, 4, 0, 2, 4, 0, 0, 4, 4, 1, 1, 4, 2, 4, 0, 2, 0, 4, 0, 0, 2, 1, 0, 4, 1, 1, 3, 4, 0, 3, 2, 0, 0, 2, 2, 4, 3, 2, 3, 4, 0, 4, 4, 1, 2, 3, 0, 0, 4, 0, 1, 1, 1, 4, 0, 1, 4, 4, 4, 0, 3, 3, 0, 0, 1, 3, 4, 4, 4, 0, 4, 1, 3, 3, 1, 3, 3, 3, 2, 1, 4, 1, 3, 4, 1, 4, 0, 0, 3, 1, 3, 4, 4, 0, 2, 0, 3, 2, 1, 4, 4, 2, 3, 3, 1, 4, 1, 1, 0, 2, 0, 2, 4, 2, 4, 2, 0, 2, 2, 1, 2, 2, 1, 0, 4, 4, 4, 1, 1, 3, 3, 1, 1, 2, 0, 2, 1, 4] pubkeycol1472 = [0, 4, 3, 2, 2, 3, 0, 3, 3, 3, 1, 0, 1, 1, 4, 0, 0, 3, 4, 1, 1, 4, 4, 2, 3, 3, 3, 0, 2, 3, 4, 4, 4, 0, 1, 1, 1, 2, 3, 2, 4, 2, 4, 4, 3, 3, 4, 2, 1, 4, 0, 0, 3, 3, 4, 3, 0, 3, 3, 4, 1, 2, 0, 4, 4, 3, 0, 2, 3, 2, 3, 1, 4, 1, 4, 1, 0, 3, 1, 0, 4, 4, 0, 0, 1, 4, 1, 4, 0, 0, 4, 1, 3, 3, 1, 3, 0, 0, 4, 1, 3, 1, 2, 0, 1, 2, 3, 1, 2, 3, 3, 4, 1, 0, 3, 4, 3, 4, 3, 0, 4, 4, 0, 4, 4, 1, 3, 2, 0, 1, 2, 3, 1, 3, 2, 0, 3, 2, 2, 2, 2, 4, 3, 3, 1, 1, 1, 2, 2, 4, 4, 2, 3, 1, 3, 4, 0, 2, 0, 2, 0, 1, 3, 0, 0, 3, 1, 0, 1, 0, 3, 1, 4, 1, 4, 0, 0, 4, 1, 0, 0, 2, 4, 3, 0, 3, 0, 1, 1, 3, 1, 0, 2, 1, 3, 4, 3, 0, 1, 1, 3, 3, 0, 3, 4, 4, 3, 3, 0, 3, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 3, 1, 0, 0, 3, 2, 2, 0, 1, 0, 1, 4, 0, 3, 0, 1, 3, 0, 3, 0, 0, 1, 0, 1, 0, 1, 0, 3, 3, 2, 2, 1, 2, 2, 0, 1, 2, 1, 3, 1, 4, 4, 2, 0, 0, 2, 1, 2, 0, 4, 2, 4, 4, 2, 4, 1, 3, 0, 2, 1, 4, 2, 0, 3, 1, 3, 3, 2, 0, 4, 4, 1, 3, 2, 3, 0, 4, 3, 0, 3, 2, 4, 4, 3, 4, 2, 1, 1, 4, 3, 3, 4, 3, 3, 3, 0, 4, 2, 1, 1, 1, 0, 3, 1, 3, 4, 1, 3, 2, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 3, 4, 4, 3, 2, 2, 1, 3, 3, 0, 0, 3, 4, 1, 2, 0, 3, 3, 3, 0, 1, 3, 0, 1, 4, 1, 2, 4, 0, 2, 0, 4, 4, 0, 0, 3, 4, 0, 4, 0, 0, 2, 0, 2, 4, 0, 2, 1, 0, 2, 2] pubkeycol1473 = [4, 2, 1, 4, 3, 4, 3, 1, 2, 0, 1, 3, 1, 4, 1, 3, 1, 2, 1, 1, 3, 1, 4, 4, 3, 3, 4, 4, 2, 4, 3, 0, 3, 3, 1, 1, 2, 2, 4, 4, 2, 0, 0, 4, 2, 2, 3, 4, 2, 1, 2, 2, 0, 0, 3, 0, 0, 4, 0, 1, 1, 0, 4, 4, 1, 0, 4, 1, 2, 2, 1, 0, 4, 3, 0, 4, 3, 1, 4, 1, 1, 0, 3, 4, 4, 1, 2, 1, 3, 0, 0, 4, 2, 2, 1, 0, 0, 2, 4, 1, 3, 1, 0, 4, 4, 0, 2, 3, 3, 2, 0, 0, 2, 3, 3, 1, 1, 4, 4, 4, 3, 0, 3, 0, 4, 4, 3, 3, 4, 0, 4, 1, 0, 0, 3, 4, 3, 0, 4, 1, 3, 4, 4, 4, 1, 4, 4, 4, 0, 3, 3, 0, 0, 4, 3, 3, 2, 3, 2, 3, 4, 3, 4, 0, 4, 3, 1, 3, 3, 4, 2, 1, 2, 0, 1, 4, 1, 2, 3, 1, 0, 4, 3, 1, 0, 4, 4, 2, 1, 2, 1, 0, 1, 0, 1, 2, 4, 2, 3, 1, 3, 4, 1, 1, 2, 3, 1, 3, 1, 4, 0, 3, 1, 1, 3, 3, 3, 0, 2, 3, 0, 4, 1, 0, 0, 4, 4, 0, 3, 2, 1, 1, 4, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 4, 3, 2, 3, 4, 2, 1, 0, 1, 0, 2, 0, 3, 4, 4, 3, 3, 1, 0, 3, 1, 0, 0, 2, 0, 1, 4, 0, 3, 3, 0, 1, 1, 0, 2, 4, 2, 2, 1, 0, 3, 3, 1, 1, 2, 1, 2, 2, 3, 3, 3, 4, 1, 0, 2, 1, 0, 3, 0, 0, 3, 0, 0, 0, 4, 2, 1, 1, 3, 0, 3, 2, 0, 2, 4, 1, 4, 2, 0, 0, 2, 0, 2, 4, 2, 3, 3, 0, 0, 4, 3, 3, 4, 1, 0, 3, 4, 1, 0, 1, 1, 2, 4, 4, 3, 0, 4, 2, 3, 1, 3, 0, 1, 2, 2, 1, 4, 1, 2, 2, 0, 3, 1, 2, 1, 3, 2, 0, 0, 3, 3, 2, 1, 4, 2, 2, 0, 1, 4, 4, 3, 2, 3, 0, 1, 0, 3, 2, 1, 4, 2, 4, 2, 3, 2, 0] pubkeycol1474 = [2, 3, 3, 1, 2, 1, 4, 4, 2, 1, 2, 2, 2, 4, 0, 3, 3, 1, 2, 2, 1, 0, 1, 3, 1, 1, 1, 0, 4, 0, 2, 3, 2, 0, 1, 4, 2, 3, 1, 4, 0, 0, 3, 0, 4, 2, 1, 2, 2, 1, 0, 4, 2, 3, 1, 0, 4, 0, 2, 1, 4, 3, 3, 1, 3, 0, 1, 1, 3, 3, 0, 1, 2, 4, 0, 1, 4, 2, 0, 3, 1, 3, 3, 0, 2, 3, 4, 0, 2, 2, 0, 2, 4, 2, 4, 1, 0, 4, 2, 2, 4, 3, 1, 2, 3, 3, 0, 0, 1, 3, 4, 1, 3, 1, 4, 4, 3, 2, 0, 0, 3, 2, 0, 1, 4, 4, 4, 2, 4, 3, 3, 2, 1, 4, 1, 1, 4, 1, 2, 4, 1, 4, 3, 0, 0, 1, 0, 0, 1, 2, 2, 4, 2, 4, 2, 4, 2, 0, 4, 4, 1, 3, 1, 2, 3, 2, 4, 4, 4, 3, 1, 4, 1, 2, 4, 4, 0, 3, 4, 1, 4, 2, 0, 3, 4, 2, 3, 2, 3, 2, 3, 1, 2, 2, 0, 4, 1, 1, 3, 0, 1, 2, 3, 0, 2, 0, 4, 1, 4, 3, 3, 0, 3, 4, 3, 0, 0, 3, 1, 2, 1, 2, 3, 3, 3, 4, 0, 0, 3, 0, 0, 2, 0, 3, 1, 3, 4, 0, 0, 4, 4, 1, 4, 2, 1, 0, 0, 1, 0, 3, 3, 4, 4, 0, 4, 4, 3, 1, 3, 1, 3, 4, 3, 0, 0, 4, 4, 0, 1, 0, 4, 4, 0, 1, 1, 0, 2, 4, 2, 0, 3, 4, 4, 3, 2, 2, 2, 0, 0, 0, 3, 4, 1, 4, 1, 1, 3, 1, 1, 0, 1, 2, 4, 1, 3, 2, 4, 3, 2, 4, 2, 1, 1, 3, 2, 0, 4, 3, 2, 3, 1, 0, 3, 4, 1, 3, 2, 4, 3, 3, 4, 2, 1, 4, 4, 0, 1, 2, 3, 0, 2, 0, 4, 2, 0, 1, 0, 3, 2, 4, 2, 1, 0, 4, 4, 0, 2, 4, 3, 0, 0, 3, 3, 0, 1, 1, 4, 4, 3, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 3, 0, 1, 4, 2, 0, 3, 0, 1, 2, 3, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol1475 = [2, 0, 3, 3, 0, 1, 0, 1, 1, 2, 4, 1, 1, 3, 4, 0, 1, 4, 4, 0, 0, 3, 3, 1, 1, 2, 0, 3, 3, 2, 0, 2, 0, 3, 3, 2, 0, 4, 1, 1, 1, 4, 0, 0, 1, 4, 2, 0, 1, 3, 0, 1, 0, 3, 2, 1, 3, 1, 1, 1, 2, 4, 3, 4, 3, 4, 4, 3, 1, 0, 4, 3, 1, 0, 3, 1, 2, 4, 2, 1, 4, 2, 2, 1, 3, 1, 2, 1, 0, 2, 2, 3, 3, 3, 4, 2, 0, 3, 0, 0, 2, 2, 4, 4, 2, 1, 1, 2, 1, 0, 3, 2, 1, 0, 4, 3, 4, 1, 4, 4, 0, 1, 4, 0, 0, 4, 0, 3, 2, 1, 1, 4, 0, 1, 4, 1, 0, 2, 0, 3, 1, 3, 3, 0, 4, 2, 3, 0, 3, 2, 2, 2, 2, 0, 4, 1, 2, 4, 2, 2, 1, 3, 2, 1, 2, 3, 4, 0, 4, 2, 4, 0, 3, 3, 4, 0, 1, 1, 3, 2, 4, 1, 3, 3, 3, 2, 3, 0, 3, 3, 3, 2, 1, 0, 4, 3, 0, 0, 2, 0, 4, 4, 0, 4, 2, 2, 1, 0, 3, 3, 2, 4, 2, 0, 0, 4, 2, 0, 2, 3, 2, 3, 0, 0, 0, 4, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 3, 2, 2, 1, 0, 4, 4, 0, 0, 1, 2, 1, 3, 2, 4, 0, 2, 1, 3, 2, 3, 3, 4, 2, 0, 1, 2, 1, 2, 1, 4, 1, 4, 2, 4, 0, 2, 0, 4, 4, 2, 2, 3, 1, 0, 3, 2, 3, 0, 4, 2, 2, 1, 4, 2, 4, 0, 4, 0, 1, 1, 0, 1, 0, 4, 3, 4, 2, 1, 3, 3, 2, 1, 3, 4, 3, 3, 3, 4, 1, 4, 3, 2, 2, 2, 1, 1, 3, 3, 0, 0, 1, 0, 2, 3, 4, 2, 0, 2, 0, 1, 0, 0, 0, 3, 3, 1, 0, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 2, 4, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 4, 1, 0, 3, 4, 0, 3, 4, 2, 1, 2, 1, 3, 4, 0, 4, 2, 3, 2, 3, 3, 2, 0, 2, 1, 1, 0, 1, 2, 3, 1, 3, 4] pubkeycol1476 = [3, 1, 0, 0, 0, 3, 4, 2, 3, 1, 3, 1, 0, 1, 2, 3, 4, 1, 2, 0, 2, 0, 3, 2, 4, 3, 4, 0, 3, 4, 4, 2, 4, 2, 4, 1, 1, 2, 4, 4, 0, 4, 4, 3, 4, 3, 2, 2, 0, 1, 4, 1, 2, 4, 0, 3, 0, 2, 3, 4, 3, 0, 2, 1, 0, 4, 2, 0, 4, 0, 1, 4, 2, 1, 4, 1, 4, 1, 0, 2, 2, 3, 0, 0, 4, 1, 2, 1, 2, 1, 2, 3, 0, 1, 1, 0, 4, 1, 4, 4, 1, 4, 0, 1, 1, 1, 4, 3, 1, 1, 3, 0, 4, 3, 0, 1, 1, 1, 2, 4, 3, 0, 2, 1, 3, 0, 3, 2, 2, 2, 4, 1, 3, 1, 3, 3, 0, 1, 4, 3, 1, 1, 3, 2, 1, 4, 2, 3, 2, 2, 0, 4, 1, 4, 0, 2, 1, 3, 1, 1, 4, 2, 0, 4, 0, 4, 2, 3, 2, 1, 2, 2, 4, 1, 4, 1, 1, 4, 3, 2, 3, 1, 0, 0, 0, 2, 4, 1, 1, 2, 0, 0, 1, 4, 4, 0, 0, 4, 3, 2, 0, 4, 0, 3, 1, 3, 2, 4, 3, 1, 3, 3, 1, 2, 2, 2, 3, 1, 3, 4, 4, 2, 4, 2, 2, 2, 3, 3, 1, 3, 1, 1, 3, 4, 0, 0, 3, 1, 2, 2, 0, 4, 1, 4, 3, 1, 4, 2, 1, 2, 4, 4, 4, 0, 0, 4, 4, 1, 2, 0, 4, 2, 2, 3, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 4, 3, 2, 4, 3, 1, 1, 3, 3, 2, 2, 4, 1, 4, 2, 1, 2, 1, 2, 4, 1, 2, 4, 3, 4, 0, 0, 2, 3, 3, 4, 3, 3, 0, 3, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 3, 1, 0, 1, 1, 0, 1, 3, 3, 3, 3, 0, 4, 0, 2, 1, 1, 4, 4, 3, 4, 2, 3, 3, 0, 4, 0, 2, 1, 1, 1, 4, 2, 0, 0, 0, 1, 4, 1, 4, 4, 2, 1, 2, 1, 1, 3, 4, 4, 2, 3, 3, 1, 4, 4, 0, 0, 2, 1, 2, 2, 1, 3, 3, 2, 0, 3, 3, 1, 1, 2, 3, 1, 2, 0] pubkeycol1477 = [0, 4, 3, 3, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 1, 4, 3, 2, 4, 2, 2, 3, 0, 3, 3, 2, 1, 0, 2, 4, 2, 2, 3, 2, 0, 1, 2, 2, 2, 0, 4, 2, 2, 2, 4, 4, 1, 0, 0, 0, 3, 1, 0, 4, 3, 4, 2, 3, 4, 3, 4, 4, 1, 0, 0, 1, 2, 4, 2, 3, 4, 2, 4, 4, 1, 1, 2, 1, 1, 1, 3, 2, 3, 4, 2, 0, 0, 0, 2, 4, 4, 0, 4, 3, 0, 2, 4, 2, 4, 4, 4, 3, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 3, 4, 3, 1, 1, 0, 0, 3, 0, 1, 0, 3, 2, 1, 1, 0, 2, 0, 3, 4, 1, 0, 0, 1, 1, 3, 0, 0, 3, 2, 2, 0, 1, 2, 1, 0, 2, 4, 1, 4, 2, 4, 1, 2, 1, 0, 0, 2, 4, 3, 0, 3, 4, 3, 3, 1, 4, 0, 1, 1, 3, 1, 3, 3, 3, 4, 4, 3, 0, 3, 3, 0, 2, 4, 1, 4, 1, 0, 0, 4, 2, 2, 2, 0, 3, 1, 3, 4, 4, 3, 1, 0, 0, 3, 1, 1, 4, 2, 0, 2, 4, 0, 0, 2, 1, 2, 4, 0, 3, 0, 0, 4, 2, 4, 1, 2, 0, 1, 1, 3, 4, 4, 0, 2, 1, 2, 4, 4, 3, 0, 2, 4, 1, 2, 4, 3, 1, 4, 4, 0, 3, 3, 0, 4, 0, 4, 4, 4, 4, 2, 1, 4, 3, 3, 2, 0, 0, 4, 4, 1, 2, 3, 3, 3, 0, 3, 1, 1, 4, 1, 2, 3, 2, 3, 2, 3, 1, 2, 0, 3, 4, 3, 1, 2, 3, 1, 4, 4, 0, 4, 0, 0, 1, 4, 3, 0, 1, 0, 0, 1, 0, 1, 2, 3, 1, 3, 2, 3, 1, 0, 0, 2, 4, 2, 0, 4, 0, 3, 3, 4, 1, 1, 1, 4, 2, 2, 4, 0, 0, 0, 0, 3, 4, 3, 4, 2, 4, 2, 4, 4, 2, 4, 2, 4, 4, 3, 0, 2, 1, 1, 2, 1, 2, 0, 4, 3, 2, 0, 4, 0, 0, 4, 1, 2, 2, 4, 3, 2, 0, 2, 1, 3, 4, 0, 0, 2, 4, 0, 1, 3, 2, 3, 3] pubkeycol1478 = [4, 0, 3, 3, 1, 3, 2, 0, 0, 0, 3, 4, 4, 4, 3, 1, 4, 4, 1, 0, 0, 2, 0, 4, 4, 4, 1, 0, 3, 1, 0, 3, 0, 2, 0, 4, 2, 1, 1, 0, 3, 1, 0, 3, 3, 2, 1, 2, 2, 2, 4, 1, 0, 1, 1, 0, 1, 3, 4, 0, 3, 1, 0, 4, 3, 1, 1, 0, 3, 0, 1, 3, 4, 3, 0, 2, 0, 0, 1, 1, 0, 2, 4, 3, 2, 4, 0, 3, 4, 1, 4, 4, 1, 0, 1, 4, 1, 1, 1, 4, 2, 4, 2, 2, 3, 2, 0, 3, 0, 0, 4, 1, 1, 2, 3, 3, 1, 2, 3, 2, 3, 1, 1, 3, 2, 1, 0, 0, 3, 0, 1, 2, 4, 1, 4, 2, 1, 2, 3, 1, 2, 3, 0, 4, 4, 4, 3, 0, 4, 4, 2, 1, 1, 4, 0, 4, 1, 3, 2, 3, 3, 2, 1, 2, 0, 4, 2, 3, 0, 0, 4, 1, 4, 3, 1, 2, 2, 0, 1, 3, 1, 0, 0, 0, 2, 1, 2, 4, 1, 2, 1, 4, 3, 3, 3, 2, 4, 1, 4, 2, 2, 0, 4, 4, 4, 0, 1, 0, 0, 4, 1, 1, 3, 2, 2, 0, 3, 0, 0, 3, 3, 4, 2, 3, 2, 1, 2, 2, 4, 1, 0, 3, 3, 0, 1, 1, 3, 1, 4, 4, 1, 0, 4, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 4, 4, 1, 4, 0, 1, 0, 3, 1, 3, 3, 1, 0, 2, 4, 2, 2, 2, 2, 3, 4, 4, 3, 2, 0, 4, 2, 3, 1, 0, 2, 2, 2, 3, 4, 3, 2, 2, 4, 1, 3, 0, 4, 4, 1, 0, 0, 4, 2, 4, 3, 2, 2, 3, 0, 0, 3, 2, 0, 4, 3, 2, 4, 2, 0, 1, 3, 3, 4, 4, 2, 4, 3, 4, 2, 0, 4, 2, 0, 4, 2, 1, 4, 4, 3, 3, 1, 0, 3, 2, 2, 1, 4, 4, 0, 2, 2, 3, 4, 3, 0, 0, 4, 3, 1, 2, 2, 3, 4, 4, 4, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 3, 0, 3, 4, 3, 2, 3, 3, 4, 4, 2, 0, 0, 4, 4, 3, 1, 4, 2] pubkeycol1479 = [4, 1, 0, 4, 2, 0, 4, 0, 1, 1, 1, 4, 0, 0, 2, 2, 3, 0, 4, 2, 2, 4, 0, 2, 1, 1, 3, 4, 1, 4, 4, 1, 0, 2, 4, 0, 2, 4, 4, 2, 0, 4, 2, 3, 1, 4, 2, 0, 4, 0, 0, 3, 4, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3, 1, 1, 4, 4, 4, 2, 1, 0, 3, 1, 2, 4, 4, 0, 1, 2, 4, 2, 2, 1, 3, 0, 4, 0, 2, 0, 1, 0, 4, 2, 3, 0, 2, 0, 1, 0, 1, 2, 1, 3, 1, 1, 0, 4, 4, 3, 2, 3, 3, 4, 2, 3, 0, 0, 3, 2, 2, 0, 4, 2, 1, 1, 2, 0, 4, 4, 3, 1, 0, 4, 0, 1, 4, 0, 0, 4, 2, 3, 4, 3, 3, 3, 1, 3, 0, 2, 0, 4, 1, 3, 2, 1, 4, 1, 0, 3, 2, 0, 3, 2, 2, 2, 2, 1, 4, 1, 3, 2, 2, 4, 3, 3, 1, 2, 4, 2, 0, 1, 3, 3, 0, 4, 2, 4, 1, 1, 4, 1, 2, 1, 1, 0, 4, 1, 1, 3, 3, 0, 4, 2, 3, 0, 1, 4, 4, 1, 3, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 3, 3, 2, 2, 4, 2, 2, 4, 0, 2, 1, 2, 1, 0, 2, 1, 4, 2, 3, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 2, 4, 1, 3, 4, 1, 0, 1, 2, 1, 3, 3, 2, 0, 1, 0, 4, 1, 2, 2, 4, 1, 1, 4, 4, 0, 0, 3, 4, 2, 3, 0, 2, 3, 0, 1, 4, 2, 3, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 4, 1, 4, 3, 1, 0, 3, 1, 3, 1, 2, 3, 2, 3, 2, 1, 4, 4, 2, 4, 3, 0, 3, 1, 4, 4, 0, 2, 3, 3, 3, 2, 4, 0, 2, 2, 4, 4, 1, 4, 3, 1, 3, 2, 1, 1, 1, 4, 1, 3, 1, 3, 0, 4, 0, 2, 2, 1, 3, 0, 4, 0, 1, 4, 2, 4, 4, 1, 1, 0, 1, 0, 3, 0, 3, 4, 4, 3, 4, 2, 0, 4, 3, 4, 1, 3, 2] pubkeycol1480 = [1, 1, 1, 2, 0, 2, 1, 4, 4, 3, 4, 1, 3, 1, 2, 3, 4, 0, 1, 2, 1, 2, 1, 3, 4, 4, 4, 1, 2, 1, 1, 4, 4, 4, 0, 1, 2, 2, 1, 3, 0, 1, 3, 2, 0, 4, 1, 2, 0, 3, 4, 2, 2, 3, 0, 4, 0, 4, 3, 4, 1, 4, 1, 2, 0, 3, 2, 4, 3, 0, 3, 3, 4, 0, 2, 4, 3, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 4, 1, 3, 4, 0, 4, 4, 3, 0, 1, 0, 3, 4, 2, 4, 0, 2, 4, 2, 4, 4, 2, 2, 3, 3, 1, 0, 1, 2, 3, 1, 4, 1, 3, 4, 0, 1, 3, 4, 1, 2, 1, 2, 4, 4, 4, 3, 0, 1, 3, 2, 0, 2, 3, 1, 4, 2, 2, 0, 3, 2, 0, 2, 0, 2, 2, 4, 1, 3, 3, 4, 1, 0, 1, 0, 4, 1, 2, 3, 0, 3, 0, 4, 3, 4, 4, 0, 3, 3, 0, 2, 3, 3, 3, 1, 1, 1, 4, 4, 3, 1, 2, 0, 3, 0, 3, 3, 1, 0, 4, 4, 3, 3, 4, 1, 1, 4, 1, 1, 4, 0, 3, 1, 4, 0, 0, 4, 3, 1, 0, 3, 2, 2, 1, 0, 3, 2, 0, 2, 0, 0, 1, 4, 4, 1, 4, 2, 2, 2, 4, 3, 4, 1, 1, 4, 3, 3, 2, 4, 2, 2, 4, 0, 2, 3, 0, 3, 4, 0, 2, 0, 3, 4, 3, 2, 1, 4, 1, 0, 3, 2, 0, 0, 1, 3, 0, 4, 1, 4, 1, 3, 4, 2, 2, 1, 4, 3, 2, 4, 3, 1, 0, 1, 4, 4, 4, 0, 3, 4, 0, 3, 4, 3, 3, 4, 2, 3, 1, 2, 3, 4, 3, 4, 0, 1, 4, 3, 3, 2, 4, 1, 4, 2, 2, 0, 0, 3, 1, 4, 2, 2, 1, 2, 0, 4, 3, 1, 0, 2, 3, 2, 4, 4, 2, 0, 1, 3, 3, 4, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 3, 1, 3, 0, 0, 1, 3, 1, 0, 1, 3, 4, 2, 4, 4, 4, 0, 2, 1, 2, 3, 1, 2, 1, 0, 0, 3, 1, 3, 2, 1, 2, 2, 4, 0, 0, 3, 2, 4, 1] pubkeycol1481 = [4, 3, 0, 1, 3, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 3, 3, 2, 0, 1, 1, 4, 0, 0, 1, 0, 3, 3, 2, 4, 1, 4, 2, 1, 3, 4, 3, 1, 0, 0, 0, 4, 3, 3, 2, 2, 2, 0, 3, 0, 4, 4, 1, 4, 2, 4, 1, 3, 1, 3, 1, 3, 1, 1, 3, 3, 1, 0, 0, 4, 1, 3, 0, 0, 1, 4, 1, 4, 3, 2, 4, 4, 4, 4, 2, 4, 4, 0, 0, 1, 4, 1, 0, 4, 4, 4, 3, 2, 1, 1, 0, 2, 4, 1, 3, 1, 4, 3, 0, 1, 4, 1, 0, 1, 2, 0, 1, 4, 4, 4, 2, 4, 4, 3, 0, 3, 4, 0, 3, 3, 1, 4, 3, 0, 1, 1, 1, 0, 3, 3, 1, 2, 3, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 4, 3, 4, 4, 4, 3, 2, 1, 1, 2, 4, 2, 3, 4, 1, 2, 4, 2, 4, 4, 4, 0, 2, 4, 1, 2, 3, 0, 0, 3, 2, 1, 1, 4, 2, 4, 3, 2, 1, 2, 1, 0, 1, 0, 0, 4, 0, 4, 1, 3, 3, 3, 0, 0, 2, 4, 0, 2, 2, 1, 2, 0, 1, 0, 4, 2, 4, 4, 3, 0, 4, 2, 3, 0, 3, 2, 2, 1, 0, 1, 4, 1, 3, 2, 1, 1, 2, 0, 1, 3, 3, 1, 2, 1, 0, 1, 3, 0, 0, 3, 3, 1, 0, 2, 3, 3, 3, 2, 3, 2, 1, 1, 0, 4, 3, 3, 3, 2, 2, 3, 4, 1, 1, 0, 4, 0, 2, 0, 1, 4, 0, 1, 0, 1, 3, 1, 4, 1, 2, 4, 2, 3, 3, 3, 2, 0, 1, 2, 4, 3, 3, 2, 0, 2, 4, 4, 0, 4, 2, 1, 0, 0, 4, 4, 3, 0, 4, 2, 3, 2, 3, 1, 4, 4, 2, 1, 4, 0, 0, 1, 4, 1, 3, 4, 0, 1, 2, 0, 3, 0, 0, 3, 3, 3, 0, 2, 1, 2, 1, 2, 1, 0, 3, 0, 0, 1, 2, 3, 4, 3, 2, 1, 1, 4, 4, 1, 3, 2, 0, 2, 4, 3, 3, 2, 4, 3, 4, 4, 0, 4, 2, 2, 0, 0, 2, 4, 4, 4, 3, 3, 1, 1, 2, 4, 1, 2] pubkeycol1482 = [2, 4, 0, 4, 4, 3, 3, 1, 0, 3, 3, 2, 3, 4, 0, 3, 3, 2, 4, 4, 0, 2, 0, 0, 4, 2, 4, 3, 2, 0, 3, 3, 1, 3, 3, 0, 1, 0, 2, 2, 0, 3, 1, 0, 0, 2, 3, 3, 1, 3, 1, 4, 0, 0, 3, 2, 3, 0, 0, 4, 1, 1, 1, 2, 1, 0, 4, 2, 4, 3, 1, 2, 3, 4, 1, 4, 3, 1, 2, 1, 4, 2, 2, 2, 2, 3, 1, 2, 2, 4, 2, 2, 3, 1, 0, 4, 2, 2, 2, 1, 4, 4, 0, 4, 1, 4, 4, 1, 0, 4, 1, 4, 4, 2, 2, 4, 2, 1, 4, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 3, 4, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0, 0, 4, 4, 0, 0, 3, 1, 4, 2, 0, 2, 2, 0, 2, 2, 1, 4, 4, 0, 3, 2, 4, 1, 2, 2, 1, 0, 0, 3, 4, 4, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 2, 1, 3, 1, 3, 1, 4, 2, 0, 2, 0, 1, 4, 3, 2, 2, 4, 4, 3, 4, 1, 1, 1, 0, 2, 3, 1, 2, 2, 4, 2, 0, 0, 4, 1, 1, 3, 3, 2, 4, 0, 2, 0, 0, 0, 3, 0, 3, 1, 3, 4, 2, 4, 4, 3, 4, 3, 2, 0, 1, 3, 4, 0, 2, 4, 4, 2, 4, 3, 2, 2, 3, 2, 1, 4, 0, 3, 0, 2, 3, 1, 3, 2, 2, 2, 4, 3, 1, 2, 0, 3, 1, 3, 1, 4, 2, 1, 4, 1, 2, 0, 0, 3, 2, 2, 4, 2, 1, 2, 2, 4, 3, 3, 4, 2, 2, 1, 2, 2, 3, 0, 3, 3, 4, 0, 0, 2, 1, 4, 3, 4, 2, 1, 2, 4, 1, 0, 2, 0, 4, 3, 4, 0, 3, 3, 0, 1, 0, 2, 4, 4, 2, 4, 4, 3, 0, 2, 3, 4, 3, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 3, 2, 0, 3, 2, 4, 0, 3, 1, 3, 1, 3, 1, 2, 3, 1, 3, 0, 1, 0, 4, 2, 3, 1, 0, 3, 4, 2, 0, 4, 1, 4, 2, 2, 4, 2, 3, 1, 0, 4, 3, 1, 4, 1, 1, 0, 2] pubkeycol1483 = [2, 2, 0, 3, 4, 3, 3, 2, 0, 4, 0, 3, 4, 3, 1, 3, 1, 1, 1, 4, 3, 4, 1, 3, 2, 4, 1, 3, 0, 4, 1, 0, 3, 2, 4, 3, 3, 4, 3, 0, 4, 1, 4, 0, 1, 2, 4, 0, 0, 0, 3, 3, 3, 0, 1, 1, 0, 2, 4, 3, 1, 4, 3, 0, 1, 2, 4, 1, 0, 0, 4, 1, 4, 0, 2, 2, 4, 1, 3, 4, 2, 2, 1, 4, 0, 1, 0, 3, 0, 4, 0, 4, 1, 1, 2, 2, 0, 1, 3, 1, 1, 4, 3, 2, 1, 1, 4, 1, 0, 1, 2, 0, 4, 4, 4, 4, 3, 4, 1, 3, 1, 0, 0, 2, 4, 0, 4, 2, 1, 0, 2, 4, 3, 3, 1, 3, 0, 4, 2, 4, 2, 1, 4, 1, 1, 4, 2, 0, 0, 4, 3, 0, 4, 3, 3, 1, 3, 4, 1, 2, 0, 4, 4, 2, 4, 3, 1, 4, 2, 1, 2, 0, 1, 1, 2, 4, 0, 1, 2, 3, 0, 2, 3, 2, 2, 0, 3, 2, 4, 3, 3, 2, 2, 4, 2, 2, 4, 1, 0, 0, 1, 0, 1, 1, 2, 2, 4, 2, 4, 3, 0, 0, 1, 0, 2, 1, 1, 3, 0, 0, 4, 1, 3, 2, 2, 4, 2, 2, 4, 1, 1, 4, 2, 2, 0, 1, 0, 3, 1, 1, 3, 2, 1, 3, 3, 4, 1, 2, 0, 4, 2, 0, 1, 2, 2, 2, 0, 2, 0, 4, 2, 0, 0, 3, 4, 3, 1, 4, 1, 2, 1, 2, 1, 4, 3, 2, 1, 2, 3, 2, 0, 1, 1, 4, 3, 4, 2, 3, 2, 4, 3, 0, 4, 3, 0, 0, 2, 3, 4, 2, 0, 4, 2, 3, 4, 4, 1, 2, 4, 3, 4, 1, 1, 1, 0, 2, 0, 2, 1, 0, 4, 4, 1, 3, 1, 3, 4, 2, 2, 3, 3, 2, 3, 0, 0, 4, 1, 0, 1, 0, 2, 1, 3, 0, 2, 2, 2, 0, 4, 0, 1, 0, 2, 4, 4, 3, 4, 4, 1, 4, 4, 3, 1, 2, 3, 1, 4, 1, 0, 4, 3, 4, 2, 0, 4, 0, 1, 3, 3, 4, 2, 2, 1, 2, 1, 4, 1, 4, 3, 0, 0, 3, 2, 0, 3, 1, 4, 3, 2, 3] pubkeycol1484 = [0, 0, 1, 1, 3, 4, 4, 3, 1, 0, 4, 1, 0, 1, 3, 0, 3, 3, 1, 0, 3, 4, 1, 0, 2, 3, 1, 0, 3, 4, 3, 1, 2, 2, 1, 1, 3, 4, 4, 0, 3, 1, 4, 0, 0, 4, 0, 1, 0, 1, 2, 2, 2, 2, 4, 1, 4, 4, 2, 4, 0, 1, 1, 1, 4, 3, 1, 2, 0, 3, 3, 3, 2, 2, 1, 2, 3, 4, 2, 1, 3, 3, 1, 1, 2, 3, 1, 0, 3, 2, 2, 3, 4, 2, 0, 3, 0, 0, 4, 4, 1, 4, 2, 2, 0, 4, 1, 3, 2, 4, 3, 3, 4, 4, 2, 3, 4, 1, 2, 2, 3, 3, 0, 1, 2, 1, 0, 0, 4, 3, 1, 1, 2, 3, 4, 3, 0, 0, 1, 1, 1, 0, 3, 3, 0, 3, 1, 3, 1, 3, 3, 4, 0, 3, 1, 1, 1, 2, 1, 0, 1, 1, 3, 4, 1, 4, 1, 1, 1, 2, 1, 2, 1, 2, 0, 3, 0, 0, 3, 0, 1, 2, 1, 2, 0, 1, 4, 0, 3, 4, 3, 1, 3, 1, 4, 2, 4, 3, 2, 3, 1, 3, 4, 1, 4, 4, 2, 2, 1, 2, 3, 3, 2, 2, 4, 2, 4, 3, 1, 4, 2, 4, 4, 3, 1, 2, 2, 0, 0, 3, 3, 2, 2, 1, 3, 0, 0, 2, 3, 3, 1, 4, 2, 0, 3, 3, 1, 2, 1, 2, 2, 3, 4, 1, 1, 3, 4, 0, 4, 2, 0, 3, 2, 2, 2, 2, 3, 3, 0, 4, 3, 1, 1, 3, 3, 0, 2, 3, 3, 0, 1, 0, 1, 4, 1, 2, 1, 3, 2, 3, 1, 0, 4, 3, 3, 2, 4, 3, 4, 2, 1, 1, 3, 2, 0, 3, 4, 3, 1, 1, 2, 2, 0, 0, 3, 2, 2, 0, 0, 4, 4, 1, 3, 4, 1, 0, 2, 1, 1, 1, 4, 0, 1, 0, 0, 0, 4, 1, 4, 1, 2, 3, 3, 2, 4, 1, 0, 1, 0, 3, 0, 3, 0, 0, 2, 0, 1, 2, 0, 2, 4, 3, 0, 2, 2, 3, 0, 0, 4, 2, 4, 4, 3, 0, 1, 1, 0, 4, 0, 3, 3, 3, 1, 0, 2, 1, 4, 1, 3, 4, 4, 0, 0, 3, 0, 2, 1, 2, 0, 3] pubkeycol1485 = [4, 1, 0, 0, 2, 3, 4, 1, 2, 0, 0, 1, 3, 4, 4, 4, 1, 1, 1, 1, 0, 1, 2, 1, 4, 3, 2, 0, 0, 4, 3, 2, 0, 3, 0, 4, 3, 1, 0, 1, 4, 1, 2, 2, 0, 0, 1, 1, 3, 2, 2, 4, 2, 1, 2, 2, 4, 1, 4, 0, 1, 1, 0, 4, 3, 4, 3, 3, 0, 2, 4, 0, 1, 1, 2, 4, 2, 0, 2, 1, 4, 0, 4, 3, 2, 2, 0, 3, 0, 2, 1, 0, 1, 3, 2, 2, 1, 0, 4, 4, 2, 0, 0, 1, 2, 0, 4, 0, 0, 0, 3, 1, 2, 2, 0, 0, 2, 0, 3, 1, 3, 3, 0, 2, 3, 1, 3, 0, 3, 0, 1, 1, 4, 1, 2, 4, 0, 2, 4, 4, 1, 0, 4, 4, 1, 2, 2, 0, 0, 3, 2, 0, 1, 1, 2, 0, 4, 1, 2, 1, 3, 4, 1, 1, 0, 0, 1, 0, 3, 4, 1, 1, 1, 2, 3, 1, 0, 2, 3, 4, 3, 0, 0, 3, 2, 1, 1, 2, 1, 2, 2, 3, 3, 0, 1, 3, 3, 4, 3, 2, 0, 3, 1, 2, 2, 2, 1, 1, 3, 4, 0, 2, 4, 0, 1, 3, 1, 1, 4, 4, 3, 2, 0, 1, 0, 1, 1, 0, 4, 4, 1, 1, 4, 0, 3, 2, 4, 4, 4, 2, 4, 4, 3, 0, 4, 1, 4, 1, 3, 4, 2, 2, 1, 1, 4, 0, 4, 2, 3, 4, 1, 1, 1, 3, 2, 0, 3, 0, 3, 4, 3, 4, 1, 2, 4, 3, 4, 4, 2, 0, 2, 2, 2, 3, 0, 4, 4, 1, 0, 0, 4, 0, 2, 3, 1, 0, 2, 4, 0, 3, 2, 2, 3, 3, 0, 3, 2, 1, 3, 2, 3, 2, 1, 0, 4, 1, 1, 3, 0, 4, 1, 0, 3, 0, 2, 0, 0, 2, 2, 1, 0, 3, 1, 3, 2, 2, 4, 4, 2, 3, 3, 4, 1, 2, 2, 0, 2, 1, 4, 4, 4, 4, 0, 1, 0, 0, 4, 4, 0, 3, 4, 0, 4, 4, 3, 1, 1, 4, 2, 2, 1, 2, 3, 4, 3, 2, 1, 2, 1, 3, 0, 1, 0, 1, 1, 4, 0, 2, 0, 3, 0, 4, 4, 4, 1, 3, 3, 1, 1, 4] pubkeycol1486 = [2, 2, 2, 1, 0, 4, 3, 4, 4, 4, 4, 4, 1, 0, 3, 0, 0, 3, 0, 4, 3, 1, 2, 1, 3, 1, 3, 4, 0, 1, 3, 0, 0, 1, 1, 2, 3, 1, 3, 2, 2, 0, 2, 3, 3, 4, 2, 0, 1, 1, 3, 4, 0, 1, 4, 4, 0, 4, 4, 4, 2, 4, 1, 0, 1, 1, 4, 1, 0, 1, 1, 1, 2, 3, 3, 3, 0, 1, 0, 4, 2, 3, 4, 3, 3, 4, 3, 0, 0, 4, 0, 1, 4, 3, 0, 3, 0, 3, 3, 4, 4, 0, 1, 3, 2, 1, 1, 2, 2, 2, 3, 2, 0, 3, 3, 4, 1, 1, 2, 2, 1, 4, 0, 1, 3, 3, 4, 4, 2, 2, 2, 0, 4, 3, 1, 0, 1, 3, 3, 3, 0, 4, 2, 1, 4, 1, 0, 2, 3, 0, 1, 3, 2, 1, 0, 3, 1, 1, 2, 2, 3, 3, 3, 4, 3, 3, 2, 2, 4, 1, 2, 0, 1, 0, 0, 3, 2, 4, 3, 3, 2, 1, 1, 4, 4, 0, 0, 0, 3, 2, 1, 1, 0, 0, 0, 0, 3, 1, 3, 0, 3, 1, 2, 1, 2, 2, 3, 2, 0, 0, 2, 2, 4, 3, 0, 0, 4, 4, 3, 0, 4, 1, 1, 1, 4, 4, 0, 3, 0, 2, 3, 4, 1, 2, 4, 3, 1, 0, 3, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 3, 0, 2, 3, 3, 1, 0, 0, 1, 4, 0, 4, 0, 2, 1, 2, 1, 4, 4, 3, 1, 4, 3, 3, 0, 3, 1, 2, 3, 4, 3, 0, 2, 3, 3, 1, 2, 0, 3, 4, 0, 3, 1, 1, 1, 1, 3, 0, 4, 3, 2, 4, 4, 0, 1, 0, 4, 0, 1, 3, 2, 4, 2, 2, 0, 0, 0, 2, 4, 3, 0, 3, 3, 3, 4, 0, 3, 4, 1, 3, 2, 4, 2, 1, 0, 2, 3, 1, 2, 3, 4, 1, 0, 2, 3, 2, 4, 0, 2, 0, 0, 1, 2, 3, 1, 0, 0, 1, 1, 3, 3, 0, 3, 2, 1, 4, 0, 1, 1, 3, 4, 2, 3, 3, 0, 0, 2, 3, 1, 0, 2, 2, 1, 3, 2, 4, 3, 2, 4, 2, 4, 4, 4, 2, 0, 2, 2, 1, 1, 2, 4] pubkeycol1487 = [4, 3, 4, 4, 1, 1, 4, 3, 0, 2, 1, 1, 0, 1, 2, 4, 1, 2, 4, 0, 4, 2, 1, 3, 1, 3, 4, 3, 2, 0, 4, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 1, 0, 3, 3, 3, 3, 0, 0, 2, 0, 4, 1, 1, 1, 4, 2, 4, 0, 4, 4, 2, 4, 2, 4, 0, 0, 4, 4, 2, 2, 0, 1, 3, 4, 3, 1, 0, 4, 4, 4, 3, 2, 3, 2, 2, 2, 0, 4, 2, 4, 0, 3, 2, 4, 2, 2, 1, 0, 3, 4, 0, 0, 1, 3, 3, 4, 1, 1, 0, 2, 0, 1, 2, 1, 4, 3, 3, 4, 0, 2, 4, 4, 1, 3, 4, 0, 1, 3, 2, 3, 0, 0, 2, 2, 4, 1, 1, 3, 0, 1, 2, 0, 0, 4, 1, 2, 4, 0, 0, 1, 2, 0, 2, 4, 1, 2, 2, 0, 1, 4, 2, 1, 3, 3, 0, 3, 0, 2, 0, 4, 4, 1, 3, 4, 3, 3, 0, 2, 0, 0, 1, 0, 3, 1, 3, 0, 2, 1, 0, 1, 4, 3, 2, 0, 2, 0, 0, 0, 3, 4, 2, 4, 1, 0, 0, 1, 0, 4, 3, 3, 0, 4, 1, 3, 0, 4, 4, 0, 0, 1, 0, 2, 0, 0, 4, 3, 0, 3, 4, 0, 1, 3, 0, 4, 3, 1, 1, 3, 3, 3, 2, 1, 0, 2, 4, 2, 1, 3, 0, 1, 3, 0, 1, 4, 2, 3, 4, 0, 1, 0, 1, 4, 1, 4, 0, 2, 2, 0, 3, 3, 4, 1, 3, 1, 3, 1, 0, 3, 4, 3, 3, 0, 1, 0, 3, 3, 2, 4, 3, 4, 1, 2, 3, 4, 2, 2, 0, 0, 2, 0, 3, 2, 4, 3, 3, 4, 4, 1, 0, 1, 1, 2, 0, 3, 2, 2, 4, 1, 2, 0, 2, 0, 4, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 1, 3, 0, 3, 1, 2, 3, 0, 3, 2, 2, 0, 4, 4, 1, 2, 0, 1, 2, 1, 2, 3, 1, 2, 2, 3, 4, 1, 0, 2, 4, 0, 3, 1, 4, 2, 2, 2, 2, 0, 4, 2, 0, 2, 4, 4, 3, 3, 4, 3, 4, 0, 3, 3, 2, 3, 2, 3, 3, 2, 1, 0, 1, 4, 3] pubkeycol1488 = [4, 1, 2, 0, 2, 1, 3, 0, 1, 4, 2, 4, 0, 2, 2, 3, 4, 2, 0, 3, 2, 4, 1, 3, 2, 1, 1, 1, 0, 3, 2, 1, 3, 3, 4, 0, 3, 1, 4, 2, 3, 0, 4, 0, 3, 2, 1, 1, 0, 3, 3, 4, 2, 2, 3, 4, 0, 3, 2, 0, 1, 2, 4, 0, 1, 1, 0, 3, 1, 1, 3, 2, 2, 0, 0, 2, 4, 0, 4, 2, 4, 4, 3, 4, 2, 3, 2, 4, 0, 3, 1, 4, 0, 4, 3, 0, 1, 2, 4, 1, 2, 0, 2, 4, 2, 3, 1, 1, 0, 4, 0, 3, 3, 4, 1, 2, 1, 1, 1, 0, 0, 4, 2, 1, 4, 4, 3, 0, 3, 4, 3, 4, 0, 0, 4, 0, 3, 1, 0, 0, 1, 3, 4, 4, 0, 3, 2, 4, 4, 2, 0, 2, 3, 2, 1, 0, 4, 4, 1, 3, 3, 0, 3, 1, 4, 0, 1, 1, 4, 2, 1, 2, 2, 2, 0, 0, 4, 0, 4, 4, 2, 3, 3, 3, 1, 4, 2, 0, 1, 0, 1, 3, 4, 3, 3, 4, 3, 0, 3, 4, 2, 0, 3, 3, 1, 3, 0, 3, 2, 3, 2, 0, 1, 0, 3, 4, 4, 3, 2, 3, 3, 3, 0, 2, 2, 4, 4, 1, 0, 3, 0, 2, 4, 4, 2, 4, 2, 2, 1, 2, 0, 4, 2, 1, 2, 3, 0, 0, 4, 1, 4, 4, 1, 2, 2, 0, 3, 2, 0, 3, 2, 4, 3, 3, 2, 4, 1, 1, 3, 0, 1, 4, 0, 1, 4, 4, 3, 2, 3, 2, 1, 0, 3, 4, 4, 2, 4, 3, 3, 1, 3, 0, 1, 3, 3, 2, 2, 4, 1, 2, 3, 4, 0, 3, 4, 2, 2, 3, 3, 0, 0, 1, 0, 1, 4, 2, 1, 0, 3, 2, 2, 1, 4, 0, 1, 0, 3, 3, 0, 0, 0, 3, 0, 2, 1, 1, 2, 2, 2, 3, 3, 4, 1, 1, 0, 4, 4, 2, 4, 4, 0, 4, 0, 2, 2, 4, 1, 1, 2, 1, 1, 4, 3, 2, 2, 2, 2, 2, 4, 2, 4, 2, 4, 3, 2, 0, 1, 0, 0, 2, 2, 2, 3, 2, 4, 4, 0, 4, 4, 1, 4, 3, 4, 2, 2, 2, 1, 2, 4, 0] pubkeycol1489 = [3, 1, 2, 0, 4, 4, 3, 2, 3, 1, 1, 3, 2, 0, 0, 4, 2, 3, 3, 2, 2, 3, 1, 3, 1, 2, 3, 1, 1, 2, 3, 2, 3, 4, 2, 0, 4, 2, 1, 2, 2, 0, 4, 1, 2, 0, 4, 0, 3, 3, 0, 4, 1, 4, 2, 3, 4, 4, 0, 1, 1, 0, 4, 1, 3, 0, 0, 1, 4, 4, 2, 2, 1, 3, 1, 1, 4, 2, 3, 4, 3, 0, 1, 3, 1, 1, 2, 4, 4, 1, 0, 0, 1, 0, 3, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 0, 4, 0, 3, 1, 3, 0, 1, 0, 0, 3, 1, 0, 0, 0, 1, 1, 3, 3, 1, 2, 1, 1, 1, 0, 2, 4, 0, 3, 2, 4, 4, 0, 0, 4, 1, 4, 1, 0, 4, 2, 4, 4, 2, 0, 3, 2, 0, 0, 4, 1, 1, 0, 1, 3, 4, 4, 2, 1, 1, 0, 4, 4, 2, 0, 2, 3, 1, 1, 3, 4, 2, 2, 2, 1, 1, 3, 2, 4, 2, 2, 2, 1, 4, 3, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 3, 4, 2, 1, 3, 2, 4, 2, 3, 4, 2, 2, 1, 3, 3, 1, 2, 3, 0, 0, 2, 0, 0, 0, 3, 1, 0, 2, 4, 3, 1, 2, 1, 4, 1, 1, 1, 4, 3, 0, 1, 2, 2, 4, 0, 2, 1, 1, 4, 0, 2, 4, 0, 1, 4, 0, 1, 3, 4, 4, 4, 4, 0, 1, 1, 0, 3, 4, 3, 2, 2, 3, 4, 0, 4, 3, 3, 0, 4, 1, 3, 1, 0, 3, 1, 3, 3, 4, 3, 0, 2, 1, 2, 2, 1, 0, 4, 4, 0, 2, 4, 3, 2, 1, 4, 4, 4, 3, 0, 0, 1, 0, 3, 0, 3, 3, 4, 3, 1, 3, 4, 0, 3, 1, 3, 1, 1, 4, 1, 0, 4, 3, 0, 2, 0, 3, 4, 0, 2, 4, 1, 4, 0, 3, 3, 0, 3, 3, 2, 4, 4, 3, 4, 0, 0, 4, 3, 1, 1, 0, 0, 1, 1, 4, 1, 1, 0, 3, 0, 4, 2, 4, 0, 0, 4, 0, 1, 1, 4, 0, 1, 2, 2, 1, 4, 0, 1, 3, 2, 2, 2, 2, 2, 3, 4, 4, 4, 1, 4] pubkeycol1490 = [2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 0, 0, 1, 2, 0, 0, 3, 2, 3, 3, 4, 3, 3, 2, 3, 0, 0, 0, 3, 0, 3, 4, 2, 0, 0, 4, 2, 4, 3, 3, 0, 2, 0, 1, 1, 3, 0, 4, 4, 1, 1, 4, 2, 0, 0, 1, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 3, 4, 3, 1, 3, 0, 1, 2, 4, 2, 2, 2, 4, 2, 0, 2, 4, 4, 0, 0, 3, 2, 1, 3, 2, 3, 3, 0, 3, 2, 1, 3, 1, 1, 4, 2, 2, 2, 0, 4, 4, 3, 3, 4, 1, 0, 1, 4, 1, 3, 0, 4, 4, 3, 0, 1, 2, 4, 4, 0, 1, 0, 3, 2, 1, 4, 3, 1, 1, 1, 1, 1, 4, 1, 2, 0, 3, 4, 1, 3, 0, 3, 2, 2, 3, 1, 1, 4, 0, 1, 3, 0, 4, 0, 1, 2, 3, 0, 0, 0, 4, 0, 0, 1, 1, 4, 2, 3, 2, 4, 4, 1, 2, 3, 4, 4, 1, 3, 1, 1, 0, 0, 1, 0, 3, 1, 0, 0, 3, 1, 1, 1, 3, 4, 2, 3, 3, 0, 3, 2, 2, 3, 0, 0, 3, 4, 4, 4, 0, 4, 3, 4, 4, 0, 2, 3, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 4, 0, 4, 0, 1, 4, 0, 0, 0, 0, 1, 1, 0, 4, 3, 4, 1, 1, 1, 3, 1, 2, 4, 0, 0, 4, 1, 3, 4, 1, 0, 1, 1, 0, 4, 4, 3, 4, 4, 3, 3, 2, 1, 0, 0, 3, 2, 1, 3, 3, 4, 4, 0, 4, 2, 3, 2, 1, 1, 2, 2, 0, 1, 2, 4, 1, 4, 4, 4, 0, 3, 1, 2, 3, 1, 3, 3, 2, 2, 4, 1, 3, 4, 2, 1, 2, 3, 1, 3, 1, 2, 4, 0, 2, 3, 1, 2, 4, 1, 1, 3, 4, 0, 3, 1, 3, 0, 2, 4, 1, 0, 4, 1, 4, 2, 0, 3, 1, 2, 0, 1, 3, 2, 2, 4, 3, 3, 2, 1, 3, 2, 1, 4, 1, 2, 3, 2, 0, 0, 2, 2, 1, 3, 1, 2, 3, 2, 0, 3, 2, 1, 0, 2, 0, 4, 1, 4, 1, 1, 3, 2] pubkeycol1491 = [1, 4, 2, 2, 0, 4, 1, 2, 2, 2, 4, 1, 3, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 3, 4, 3, 1, 2, 3, 3, 0, 0, 2, 0, 2, 0, 2, 0, 0, 3, 0, 2, 1, 0, 4, 2, 2, 1, 2, 4, 1, 0, 2, 1, 3, 0, 3, 1, 3, 4, 2, 2, 4, 0, 1, 2, 3, 2, 0, 4, 1, 1, 4, 0, 3, 4, 4, 4, 1, 2, 2, 4, 2, 4, 1, 2, 2, 1, 2, 1, 2, 1, 4, 4, 1, 0, 2, 0, 3, 4, 1, 2, 2, 1, 4, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 4, 1, 0, 2, 4, 0, 3, 4, 1, 1, 1, 1, 4, 4, 1, 4, 3, 1, 1, 2, 2, 4, 3, 3, 0, 2, 4, 4, 0, 2, 3, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 2, 1, 4, 2, 1, 2, 0, 3, 0, 3, 1, 3, 1, 2, 0, 0, 0, 2, 2, 4, 4, 3, 2, 1, 4, 2, 1, 1, 4, 4, 1, 3, 3, 1, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 4, 0, 0, 3, 0, 3, 4, 1, 1, 1, 0, 4, 2, 1, 0, 4, 3, 2, 3, 2, 4, 2, 1, 4, 2, 1, 1, 1, 1, 0, 0, 1, 2, 3, 4, 0, 1, 1, 4, 4, 2, 3, 2, 3, 4, 4, 1, 4, 2, 3, 0, 0, 4, 3, 3, 1, 3, 2, 2, 3, 1, 1, 3, 0, 1, 4, 0, 4, 3, 1, 4, 4, 4, 4, 2, 2, 2, 2, 3, 0, 4, 0, 3, 1, 2, 3, 1, 3, 1, 3, 2, 2, 1, 0, 1, 2, 4, 0, 1, 4, 1, 3, 0, 0, 1, 2, 1, 1, 1, 1, 2, 4, 2, 1, 3, 1, 4, 3, 4, 4, 1, 4, 3, 2, 2, 0, 0, 3, 2, 2, 0, 0, 3, 4, 3, 2, 2, 2, 0, 3, 0, 3, 3, 0, 0, 0, 0, 4, 1, 0, 2, 3, 4, 1, 4, 2, 3, 0, 4, 4, 2, 1, 2, 1, 2, 0, 3, 4, 2, 4, 3, 1, 1, 2, 1, 2, 4, 2, 1, 4, 4, 2, 3, 2] pubkeycol1492 = [0, 2, 4, 1, 3, 3, 2, 1, 3, 3, 2, 3, 4, 1, 1, 4, 2, 3, 0, 0, 3, 2, 0, 4, 2, 2, 3, 2, 4, 1, 4, 3, 0, 4, 4, 0, 0, 1, 2, 4, 3, 0, 2, 3, 3, 4, 1, 1, 0, 2, 2, 0, 1, 2, 3, 3, 4, 1, 0, 2, 2, 4, 0, 1, 4, 3, 4, 1, 1, 1, 1, 2, 3, 1, 2, 0, 3, 3, 0, 0, 0, 4, 2, 0, 4, 2, 0, 0, 4, 3, 1, 0, 1, 2, 0, 3, 3, 4, 0, 4, 3, 3, 0, 1, 2, 1, 4, 4, 0, 1, 0, 1, 2, 4, 1, 1, 3, 2, 0, 3, 3, 4, 4, 0, 2, 4, 4, 1, 0, 2, 3, 1, 4, 0, 1, 0, 4, 1, 0, 0, 4, 2, 2, 4, 4, 4, 0, 0, 3, 2, 0, 1, 3, 3, 3, 2, 1, 2, 4, 1, 4, 1, 2, 1, 1, 4, 0, 1, 2, 2, 2, 1, 3, 0, 2, 4, 2, 4, 1, 4, 2, 1, 0, 2, 2, 0, 3, 1, 4, 2, 3, 4, 0, 1, 1, 0, 1, 0, 0, 2, 0, 3, 4, 1, 3, 2, 4, 2, 2, 1, 1, 2, 2, 3, 2, 4, 0, 4, 1, 1, 4, 3, 0, 3, 3, 3, 1, 1, 4, 3, 4, 2, 1, 2, 3, 0, 4, 3, 4, 1, 0, 4, 1, 4, 2, 2, 1, 1, 0, 2, 3, 2, 1, 3, 3, 3, 1, 2, 2, 0, 4, 0, 4, 4, 4, 2, 0, 2, 4, 2, 3, 3, 1, 4, 3, 1, 1, 1, 3, 3, 1, 4, 1, 2, 0, 0, 2, 2, 0, 3, 3, 4, 4, 4, 1, 1, 4, 1, 1, 4, 3, 2, 2, 4, 0, 1, 2, 1, 4, 0, 4, 1, 4, 1, 4, 3, 2, 2, 4, 2, 3, 0, 4, 4, 3, 2, 1, 4, 0, 2, 1, 1, 1, 4, 0, 1, 3, 3, 1, 3, 0, 4, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 4, 4, 1, 2, 2, 4, 1, 4, 2, 3, 4, 2, 2, 4, 0, 0, 3, 1, 2, 1, 1, 4, 0, 4, 0, 1, 0, 0, 4, 0, 4, 1, 1, 0, 1, 4, 1, 2, 4, 1, 2, 2, 1, 2, 1, 1] pubkeycol1493 = [4, 3, 0, 1, 4, 1, 4, 2, 3, 0, 0, 3, 4, 3, 2, 0, 4, 4, 1, 3, 1, 2, 4, 3, 1, 0, 1, 4, 3, 2, 1, 0, 1, 1, 1, 1, 0, 4, 4, 1, 2, 2, 4, 1, 2, 0, 4, 1, 0, 4, 2, 2, 1, 4, 2, 4, 1, 4, 4, 0, 3, 1, 2, 0, 1, 3, 0, 0, 2, 3, 1, 3, 2, 3, 1, 3, 4, 1, 1, 4, 4, 1, 2, 0, 0, 1, 3, 3, 0, 4, 0, 0, 2, 0, 2, 4, 3, 1, 0, 0, 0, 3, 4, 0, 4, 4, 0, 2, 4, 1, 0, 4, 2, 4, 4, 3, 1, 2, 1, 4, 2, 3, 3, 2, 0, 2, 2, 0, 0, 3, 0, 3, 4, 2, 4, 1, 1, 3, 0, 0, 1, 3, 0, 1, 4, 2, 3, 1, 3, 4, 3, 0, 1, 3, 1, 3, 1, 2, 1, 0, 4, 0, 4, 3, 1, 1, 0, 4, 3, 4, 1, 4, 4, 0, 0, 1, 1, 0, 1, 1, 1, 4, 0, 2, 4, 4, 0, 4, 3, 2, 1, 4, 2, 0, 1, 3, 0, 2, 2, 3, 0, 1, 3, 3, 4, 4, 4, 2, 3, 0, 0, 0, 0, 3, 1, 1, 1, 4, 1, 2, 4, 3, 3, 3, 1, 3, 1, 3, 1, 3, 1, 3, 2, 4, 3, 3, 4, 4, 1, 2, 3, 3, 0, 2, 3, 1, 3, 1, 3, 3, 3, 2, 4, 0, 4, 2, 2, 0, 2, 3, 4, 2, 0, 4, 3, 2, 4, 3, 3, 1, 4, 2, 0, 1, 1, 3, 4, 3, 3, 1, 3, 1, 0, 1, 0, 3, 0, 4, 3, 2, 0, 4, 4, 0, 3, 1, 0, 3, 1, 1, 1, 0, 3, 4, 3, 3, 1, 2, 3, 4, 0, 0, 4, 3, 3, 4, 3, 1, 0, 4, 2, 3, 4, 1, 0, 2, 0, 0, 0, 3, 2, 2, 2, 3, 2, 2, 0, 0, 3, 1, 4, 4, 4, 3, 2, 0, 3, 2, 0, 4, 0, 0, 4, 1, 3, 2, 1, 3, 1, 2, 3, 1, 1, 3, 2, 2, 2, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 0, 2, 0, 2, 0, 2, 3, 4, 2, 2, 0, 4, 0, 0, 2, 3, 0, 2, 3, 0, 3, 1] pubkeycol1494 = [1, 4, 3, 0, 3, 2, 3, 2, 1, 4, 1, 1, 1, 3, 3, 2, 3, 3, 1, 0, 4, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 2, 4, 2, 2, 3, 4, 4, 1, 4, 1, 2, 4, 1, 0, 3, 0, 2, 0, 1, 3, 4, 1, 2, 2, 1, 3, 2, 0, 4, 2, 4, 1, 2, 0, 4, 0, 2, 2, 1, 3, 0, 4, 4, 0, 2, 3, 0, 0, 0, 4, 4, 2, 1, 3, 2, 0, 2, 2, 4, 0, 2, 1, 4, 3, 3, 4, 2, 0, 1, 2, 1, 3, 2, 4, 1, 3, 1, 4, 2, 2, 0, 0, 4, 4, 1, 0, 4, 0, 4, 3, 3, 1, 1, 4, 0, 4, 0, 1, 4, 0, 4, 0, 3, 1, 3, 0, 2, 1, 2, 3, 3, 2, 1, 2, 2, 3, 3, 0, 1, 3, 3, 2, 2, 4, 1, 0, 0, 4, 3, 3, 1, 3, 4, 0, 2, 3, 0, 2, 3, 3, 1, 2, 3, 1, 0, 3, 3, 3, 0, 0, 3, 4, 0, 1, 0, 4, 3, 1, 4, 2, 0, 0, 0, 3, 1, 4, 3, 3, 2, 4, 0, 3, 2, 4, 4, 4, 4, 1, 2, 4, 0, 4, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 4, 2, 1, 0, 3, 3, 2, 4, 1, 2, 1, 1, 0, 3, 3, 2, 4, 4, 0, 0, 3, 2, 3, 4, 3, 4, 3, 3, 4, 1, 4, 0, 2, 2, 1, 4, 2, 3, 4, 0, 3, 3, 2, 4, 3, 3, 1, 1, 1, 2, 2, 3, 4, 2, 2, 0, 3, 3, 1, 4, 0, 0, 3, 0, 0, 4, 0, 1, 3, 3, 0, 2, 4, 1, 2, 3, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 4, 1, 3, 3, 3, 1, 1, 2, 4, 0, 0, 2, 4, 4, 1, 1, 3, 1, 1, 2, 3, 3, 0, 4, 0, 1, 0, 3, 4, 3, 3, 0, 4, 4, 4, 4, 2, 0, 1, 0, 3, 4, 1, 3, 3, 2, 1, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 0, 0, 3, 2, 4, 0, 0, 3, 3, 2, 3, 1, 2, 3, 4, 4, 0, 2, 2, 3, 2, 3, 3, 0, 1, 4, 1, 2, 0, 2, 1] pubkeycol1495 = [4, 0, 1, 4, 1, 2, 3, 0, 4, 1, 4, 3, 1, 0, 1, 3, 2, 1, 3, 4, 4, 2, 0, 2, 3, 2, 0, 0, 4, 2, 3, 1, 2, 0, 4, 0, 4, 3, 1, 0, 3, 2, 4, 0, 2, 2, 4, 4, 0, 0, 3, 0, 0, 1, 4, 2, 3, 1, 4, 3, 4, 4, 1, 2, 4, 0, 1, 3, 4, 1, 0, 0, 0, 0, 1, 2, 2, 0, 3, 3, 2, 4, 2, 4, 2, 4, 2, 2, 2, 2, 3, 0, 2, 4, 3, 1, 2, 3, 0, 4, 4, 4, 3, 1, 2, 2, 2, 1, 1, 3, 4, 3, 1, 1, 1, 1, 2, 2, 1, 0, 4, 2, 3, 0, 2, 4, 0, 4, 0, 0, 4, 2, 0, 2, 4, 4, 1, 1, 0, 4, 4, 3, 2, 0, 4, 1, 1, 4, 3, 2, 3, 1, 0, 1, 1, 4, 1, 3, 2, 3, 1, 3, 4, 4, 1, 4, 1, 2, 0, 3, 4, 1, 4, 0, 3, 1, 3, 2, 2, 4, 1, 0, 3, 0, 3, 3, 0, 2, 1, 0, 4, 2, 1, 3, 2, 3, 1, 0, 2, 1, 3, 1, 4, 0, 1, 4, 1, 3, 0, 4, 4, 3, 4, 4, 1, 1, 3, 2, 1, 2, 2, 2, 0, 0, 4, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 4, 0, 4, 0, 0, 3, 0, 2, 1, 4, 4, 0, 3, 2, 3, 2, 0, 3, 0, 0, 3, 2, 3, 3, 1, 1, 2, 4, 1, 3, 1, 0, 0, 3, 4, 2, 0, 3, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 3, 4, 1, 3, 2, 1, 0, 1, 4, 4, 3, 0, 4, 4, 4, 1, 3, 4, 1, 1, 4, 1, 3, 4, 0, 4, 3, 1, 2, 0, 0, 2, 0, 1, 2, 4, 2, 2, 0, 3, 2, 0, 3, 4, 4, 1, 2, 3, 1, 4, 3, 4, 2, 1, 0, 3, 2, 3, 1, 3, 0, 0, 4, 3, 2, 0, 2, 4, 0, 3, 0, 0, 4, 1, 3, 2, 1, 3, 2, 2, 1, 3, 3, 4, 1, 4, 0, 0, 4, 1, 3, 2, 2, 2, 0, 3, 3, 0, 4, 1, 4, 4, 3, 1, 2, 2, 2, 4, 1, 3] pubkeycol1496 = [0, 1, 4, 1, 2, 0, 2, 0, 3, 1, 0, 0, 1, 4, 4, 0, 0, 4, 2, 3, 1, 2, 3, 4, 2, 4, 1, 3, 3, 4, 3, 1, 3, 0, 0, 3, 3, 0, 4, 4, 1, 1, 4, 2, 0, 0, 4, 3, 1, 0, 4, 2, 0, 1, 3, 0, 4, 3, 4, 1, 4, 2, 0, 1, 3, 1, 4, 4, 1, 4, 3, 0, 1, 1, 4, 1, 1, 4, 2, 2, 0, 2, 4, 3, 2, 4, 2, 2, 1, 1, 1, 3, 1, 2, 4, 4, 3, 3, 0, 4, 2, 2, 4, 2, 0, 2, 0, 4, 1, 1, 3, 1, 4, 4, 3, 4, 0, 1, 4, 2, 2, 4, 2, 4, 4, 1, 1, 3, 2, 1, 3, 0, 0, 0, 1, 1, 0, 4, 1, 3, 4, 3, 3, 1, 1, 2, 0, 3, 2, 3, 1, 4, 0, 2, 1, 4, 1, 1, 4, 0, 0, 1, 4, 3, 0, 3, 4, 1, 1, 4, 1, 2, 2, 2, 1, 4, 0, 4, 1, 1, 3, 3, 3, 0, 2, 3, 3, 4, 1, 2, 1, 1, 2, 1, 1, 1, 0, 4, 4, 0, 1, 3, 2, 4, 2, 3, 4, 3, 2, 2, 1, 2, 2, 4, 3, 2, 1, 3, 0, 2, 0, 2, 3, 1, 2, 1, 0, 3, 2, 2, 2, 0, 1, 0, 3, 4, 0, 2, 2, 2, 3, 0, 4, 2, 4, 1, 3, 4, 4, 3, 3, 2, 4, 0, 4, 1, 3, 0, 0, 2, 3, 4, 1, 0, 0, 3, 0, 0, 3, 4, 1, 0, 4, 0, 1, 0, 4, 3, 3, 1, 2, 1, 3, 3, 3, 4, 1, 0, 4, 4, 4, 3, 0, 3, 4, 4, 4, 2, 2, 3, 3, 0, 0, 0, 0, 0, 3, 4, 3, 4, 0, 1, 0, 4, 0, 1, 0, 1, 1, 3, 3, 2, 3, 0, 3, 3, 2, 2, 0, 0, 4, 0, 3, 1, 0, 1, 1, 3, 0, 4, 1, 0, 3, 4, 4, 0, 0, 0, 4, 4, 0, 2, 0, 1, 0, 4, 1, 1, 1, 4, 2, 4, 4, 1, 4, 1, 0, 3, 4, 1, 1, 1, 2, 0, 0, 4, 0, 4, 2, 4, 0, 4, 4, 2, 0, 1, 2, 1, 4, 4, 2, 3, 0, 2, 4, 3, 3, 2, 2, 0] pubkeycol1497 = [0, 2, 3, 3, 4, 0, 3, 2, 2, 2, 0, 3, 0, 2, 2, 3, 2, 0, 1, 3, 1, 1, 2, 4, 1, 4, 2, 1, 2, 4, 4, 3, 0, 0, 3, 1, 0, 4, 1, 0, 1, 4, 2, 1, 1, 4, 2, 3, 3, 1, 3, 0, 0, 1, 4, 4, 3, 4, 3, 0, 0, 3, 2, 0, 2, 3, 3, 3, 2, 3, 0, 1, 0, 1, 3, 1, 4, 0, 0, 2, 2, 3, 2, 3, 1, 3, 2, 2, 4, 4, 4, 4, 2, 3, 3, 2, 3, 1, 3, 0, 3, 1, 0, 2, 0, 4, 2, 4, 2, 1, 4, 0, 0, 2, 4, 0, 2, 2, 0, 3, 0, 4, 1, 3, 3, 0, 2, 1, 3, 2, 0, 2, 0, 2, 0, 1, 3, 0, 4, 2, 1, 1, 1, 2, 2, 4, 2, 0, 1, 3, 0, 4, 0, 1, 2, 4, 2, 0, 3, 2, 0, 2, 4, 0, 3, 0, 0, 0, 3, 4, 3, 0, 0, 4, 4, 1, 4, 2, 2, 4, 0, 0, 1, 4, 1, 2, 2, 4, 1, 1, 3, 2, 4, 3, 3, 4, 2, 3, 0, 1, 4, 4, 0, 3, 4, 2, 2, 1, 0, 2, 1, 0, 2, 4, 0, 3, 1, 1, 4, 1, 0, 2, 3, 2, 3, 2, 4, 3, 2, 2, 3, 2, 3, 0, 4, 0, 4, 2, 3, 4, 3, 4, 3, 0, 3, 3, 4, 4, 4, 0, 0, 1, 3, 4, 1, 2, 1, 3, 4, 2, 0, 1, 4, 2, 4, 0, 4, 1, 0, 2, 0, 3, 0, 0, 1, 2, 2, 1, 3, 4, 3, 1, 3, 0, 3, 1, 2, 2, 1, 2, 3, 1, 0, 1, 1, 1, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 0, 3, 0, 3, 2, 0, 3, 4, 4, 3, 2, 4, 2, 3, 4, 0, 1, 4, 3, 0, 0, 1, 2, 2, 1, 4, 2, 3, 3, 0, 0, 2, 3, 0, 2, 0, 0, 1, 3, 3, 3, 4, 0, 3, 3, 1, 3, 0, 1, 4, 4, 2, 0, 2, 1, 1, 1, 3, 2, 3, 0, 3, 4, 4, 0, 3, 4, 2, 2, 3, 4, 0, 1, 3, 3, 2, 2, 4, 4, 2, 1, 1, 3, 2, 1, 0, 1, 3, 3, 1, 2, 0, 2] pubkeycol1498 = [0, 4, 4, 4, 2, 1, 0, 4, 4, 0, 4, 0, 3, 1, 0, 4, 3, 3, 1, 1, 0, 1, 1, 1, 0, 3, 2, 3, 0, 0, 4, 1, 2, 4, 1, 4, 0, 3, 0, 4, 1, 2, 0, 2, 4, 4, 2, 0, 1, 3, 0, 4, 4, 0, 0, 0, 0, 2, 2, 3, 2, 1, 0, 3, 1, 2, 4, 4, 4, 2, 0, 4, 1, 0, 0, 2, 1, 2, 1, 4, 1, 4, 1, 3, 4, 2, 0, 4, 3, 4, 0, 2, 3, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 4, 0, 2, 3, 4, 3, 4, 3, 0, 1, 3, 4, 0, 1, 3, 1, 0, 3, 1, 1, 1, 3, 1, 1, 4, 1, 2, 4, 2, 1, 1, 2, 2, 4, 0, 3, 2, 0, 4, 4, 4, 2, 2, 1, 0, 1, 1, 1, 2, 0, 3, 3, 3, 2, 3, 4, 4, 4, 2, 4, 3, 2, 1, 2, 3, 3, 4, 4, 1, 2, 2, 4, 1, 1, 0, 1, 4, 0, 3, 4, 1, 0, 0, 1, 3, 4, 2, 4, 1, 2, 2, 0, 4, 2, 1, 2, 0, 1, 1, 3, 1, 1, 0, 3, 0, 2, 1, 3, 1, 1, 4, 2, 2, 1, 3, 3, 3, 0, 1, 3, 0, 4, 1, 3, 1, 2, 0, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 0, 4, 1, 3, 0, 4, 3, 4, 1, 4, 2, 3, 3, 0, 2, 3, 4, 2, 3, 3, 1, 2, 4, 0, 0, 1, 0, 4, 3, 3, 1, 4, 4, 4, 2, 4, 4, 0, 1, 1, 4, 0, 3, 4, 0, 3, 4, 0, 2, 3, 1, 0, 3, 4, 0, 4, 4, 3, 1, 3, 0, 0, 2, 0, 3, 4, 3, 4, 1, 2, 2, 2, 3, 1, 1, 0, 0, 1, 0, 2, 3, 1, 2, 4, 0, 2, 2, 2, 3, 0, 4, 1, 2, 1, 1, 2, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 1, 4, 2, 1, 3, 0, 0, 3, 2, 1, 4, 3, 4, 2, 3, 1, 3, 2, 4, 0, 3, 2, 4, 1, 4, 2, 3, 1, 4, 1, 4, 0, 2, 2, 3, 1, 2, 3, 4, 2, 4, 0, 0, 0, 0, 3, 2, 3, 2, 2, 1] pubkeycol1499 = [2, 0, 3, 3, 4, 2, 4, 4, 1, 4, 1, 4, 4, 1, 3, 3, 0, 2, 0, 3, 1, 4, 3, 2, 1, 4, 4, 1, 0, 3, 4, 0, 4, 3, 3, 1, 3, 0, 1, 2, 3, 0, 2, 3, 3, 1, 3, 3, 0, 2, 4, 1, 1, 2, 1, 1, 3, 0, 3, 4, 3, 4, 3, 1, 3, 0, 3, 0, 3, 0, 4, 3, 0, 2, 0, 4, 4, 4, 1, 1, 3, 4, 3, 2, 3, 3, 4, 3, 2, 2, 2, 1, 3, 0, 2, 3, 0, 0, 0, 3, 2, 1, 4, 2, 0, 1, 2, 1, 0, 0, 1, 3, 4, 1, 4, 3, 1, 1, 2, 0, 0, 4, 2, 0, 4, 3, 0, 0, 3, 2, 4, 4, 4, 3, 1, 1, 0, 2, 4, 4, 4, 1, 3, 2, 3, 2, 1, 1, 3, 2, 0, 0, 2, 4, 0, 3, 1, 3, 2, 3, 3, 4, 3, 0, 2, 1, 2, 1, 1, 3, 0, 1, 2, 2, 2, 3, 3, 2, 3, 4, 4, 0, 3, 0, 4, 4, 4, 4, 2, 1, 1, 1, 0, 1, 3, 4, 1, 4, 1, 1, 0, 3, 2, 0, 3, 2, 2, 3, 1, 0, 1, 3, 3, 0, 3, 0, 4, 0, 3, 0, 4, 2, 2, 3, 1, 3, 2, 1, 1, 0, 2, 2, 4, 1, 4, 3, 3, 3, 1, 1, 0, 4, 0, 1, 2, 0, 1, 3, 1, 0, 2, 1, 2, 2, 4, 4, 1, 4, 1, 0, 3, 3, 0, 0, 2, 3, 0, 2, 4, 4, 0, 4, 4, 2, 3, 2, 2, 4, 2, 0, 0, 0, 4, 1, 4, 3, 1, 2, 0, 2, 4, 3, 2, 0, 3, 2, 1, 4, 2, 1, 0, 2, 4, 1, 4, 4, 1, 3, 3, 2, 3, 3, 3, 1, 4, 4, 3, 0, 2, 3, 4, 0, 0, 3, 4, 0, 2, 2, 2, 0, 3, 2, 2, 3, 2, 4, 2, 0, 4, 4, 1, 2, 0, 3, 4, 0, 2, 1, 2, 0, 3, 3, 4, 4, 0, 0, 0, 1, 0, 2, 0, 2, 3, 2, 0, 4, 1, 0, 3, 0, 3, 3, 2, 2, 2, 0, 0, 4, 1, 4, 2, 1, 0, 0, 4, 3, 0, 4, 1, 1, 3, 1, 2, 1, 4, 3, 2, 1, 1, 0] pubkeycol1500 = [2, 2, 2, 1, 4, 1, 1, 3, 1, 3, 4, 2, 1, 2, 4, 1, 4, 0, 0, 0, 4, 3, 4, 4, 4, 0, 1, 0, 3, 2, 0, 3, 3, 0, 2, 3, 1, 3, 4, 3, 1, 2, 4, 4, 1, 2, 0, 2, 4, 4, 0, 1, 3, 4, 4, 2, 0, 4, 4, 0, 4, 1, 0, 1, 4, 2, 2, 2, 2, 4, 4, 1, 2, 2, 2, 1, 3, 1, 1, 4, 0, 4, 3, 4, 4, 0, 0, 1, 0, 0, 0, 0, 3, 3, 2, 2, 2, 1, 0, 4, 4, 0, 0, 0, 3, 0, 1, 4, 3, 4, 3, 0, 4, 2, 0, 3, 4, 2, 2, 0, 0, 0, 4, 3, 0, 4, 2, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 2, 2, 1, 0, 4, 3, 4, 2, 0, 2, 0, 1, 4, 2, 2, 1, 1, 1, 1, 0, 4, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 1, 4, 0, 0, 1, 0, 2, 0, 1, 4, 0, 1, 2, 0, 3, 3, 4, 2, 0, 4, 3, 0, 4, 0, 2, 1, 1, 3, 1, 0, 1, 3, 4, 3, 2, 0, 0, 2, 1, 0, 4, 0, 3, 3, 4, 2, 0, 1, 2, 4, 4, 3, 3, 1, 4, 4, 0, 3, 2, 4, 0, 1, 2, 3, 1, 4, 3, 3, 4, 2, 1, 3, 1, 0, 2, 3, 0, 2, 3, 3, 2, 0, 4, 4, 4, 2, 1, 4, 3, 2, 1, 2, 2, 4, 2, 1, 3, 3, 2, 2, 3, 2, 4, 1, 3, 1, 1, 3, 2, 1, 1, 4, 4, 3, 0, 1, 0, 3, 2, 1, 4, 2, 3, 4, 1, 3, 3, 3, 1, 3, 1, 4, 1, 1, 2, 4, 0, 0, 0, 1, 4, 2, 0, 2, 3, 4, 3, 4, 1, 0, 3, 1, 4, 0, 3, 0, 1, 1, 0, 3, 0, 3, 0, 2, 2, 4, 4, 0, 4, 1, 4, 2, 3, 4, 4, 4, 1, 4, 3, 2, 3, 2, 0, 2, 3, 1, 4, 4, 3, 4, 3, 2, 1, 4, 3, 4, 1, 1, 2, 4, 1, 2, 1, 1, 4, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 3, 3, 2, 3, 4, 2, 0, 4, 0, 0, 2, 0, 2, 4, 4, 2, 0] pubkeycol1501 = [3, 2, 2, 3, 4, 2, 2, 2, 0, 1, 2, 4, 4, 4, 3, 4, 2, 1, 1, 4, 3, 2, 2, 0, 0, 4, 3, 4, 1, 0, 3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 4, 3, 3, 2, 4, 2, 1, 3, 3, 2, 0, 0, 3, 4, 4, 0, 3, 0, 1, 4, 4, 3, 0, 0, 4, 0, 0, 4, 2, 3, 2, 3, 0, 3, 2, 2, 2, 3, 1, 4, 1, 4, 2, 3, 2, 3, 1, 3, 3, 3, 2, 4, 3, 3, 3, 4, 1, 3, 0, 1, 4, 4, 1, 1, 1, 4, 1, 4, 0, 2, 3, 2, 1, 0, 0, 0, 4, 2, 1, 4, 2, 3, 4, 0, 2, 1, 0, 3, 0, 2, 3, 4, 2, 2, 4, 0, 4, 4, 4, 2, 4, 0, 1, 2, 0, 4, 4, 2, 3, 1, 0, 2, 3, 0, 1, 2, 4, 2, 3, 2, 2, 2, 0, 0, 0, 0, 4, 1, 4, 1, 1, 3, 4, 2, 1, 4, 0, 1, 0, 1, 1, 4, 0, 0, 3, 4, 0, 2, 2, 3, 4, 4, 2, 1, 3, 3, 3, 2, 2, 0, 3, 1, 3, 4, 4, 2, 1, 2, 3, 4, 4, 3, 0, 3, 1, 1, 2, 2, 3, 4, 1, 1, 1, 2, 3, 1, 3, 0, 4, 0, 1, 2, 4, 1, 4, 2, 3, 4, 2, 3, 3, 3, 4, 1, 4, 1, 3, 4, 4, 0, 4, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 4, 4, 3, 0, 0, 4, 4, 1, 4, 1, 3, 4, 0, 2, 3, 2, 2, 0, 1, 0, 2, 3, 1, 2, 4, 1, 1, 3, 3, 1, 3, 0, 2, 4, 4, 0, 1, 4, 3, 2, 3, 1, 3, 3, 4, 3, 3, 3, 2, 3, 1, 1, 4, 1, 3, 3, 4, 3, 2, 1, 3, 0, 3, 3, 3, 1, 2, 3, 3, 0, 4, 4, 4, 2, 0, 0, 1, 0, 4, 2, 2, 3, 0, 3, 2, 4, 2, 2, 0, 2, 3, 4, 3, 3, 4, 1, 3, 3, 3, 1, 3, 3, 1, 3, 4, 4, 2, 1, 1, 2, 4, 4, 3, 2, 2, 0, 3, 0, 2, 2, 1, 4, 3, 1, 1, 3, 3, 3, 0, 1] pubkeycol1502 = [0, 1, 2, 3, 2, 0, 1, 2, 0, 3, 0, 4, 0, 1, 2, 4, 0, 2, 0, 1, 2, 2, 1, 4, 4, 1, 1, 4, 3, 4, 1, 0, 1, 0, 3, 1, 4, 4, 1, 1, 0, 1, 4, 0, 2, 2, 3, 0, 1, 3, 2, 1, 1, 1, 2, 0, 1, 4, 2, 1, 2, 2, 3, 0, 2, 1, 4, 2, 1, 4, 4, 1, 1, 4, 3, 4, 1, 1, 2, 1, 4, 1, 3, 2, 1, 4, 1, 0, 4, 2, 1, 2, 4, 1, 2, 0, 1, 3, 4, 0, 2, 0, 1, 2, 4, 1, 2, 2, 0, 1, 0, 1, 4, 2, 2, 2, 0, 4, 4, 0, 4, 4, 1, 2, 4, 0, 1, 1, 0, 1, 4, 4, 4, 2, 3, 3, 2, 0, 0, 1, 2, 3, 1, 1, 4, 0, 4, 4, 2, 1, 3, 2, 3, 3, 3, 3, 0, 1, 1, 4, 1, 3, 3, 2, 1, 1, 1, 0, 2, 3, 0, 3, 2, 4, 4, 4, 0, 3, 3, 2, 0, 1, 1, 4, 2, 1, 4, 4, 1, 2, 4, 4, 3, 4, 3, 0, 4, 3, 2, 0, 3, 2, 2, 3, 2, 3, 1, 2, 2, 3, 3, 0, 2, 1, 3, 4, 2, 2, 2, 2, 0, 4, 3, 1, 3, 4, 1, 3, 3, 0, 3, 1, 4, 2, 2, 4, 1, 4, 2, 1, 2, 3, 4, 2, 4, 2, 0, 3, 4, 2, 2, 0, 2, 2, 1, 3, 2, 2, 1, 1, 0, 2, 3, 1, 3, 3, 2, 3, 2, 4, 2, 0, 4, 0, 2, 4, 2, 2, 3, 4, 0, 0, 4, 1, 2, 4, 0, 2, 4, 3, 3, 2, 2, 0, 3, 4, 2, 3, 2, 2, 3, 4, 3, 1, 2, 3, 0, 3, 3, 2, 3, 4, 2, 3, 4, 0, 2, 4, 0, 4, 2, 2, 2, 1, 4, 3, 4, 0, 2, 2, 1, 3, 3, 0, 1, 4, 2, 2, 0, 3, 0, 2, 2, 1, 1, 3, 0, 1, 3, 4, 2, 4, 2, 2, 0, 4, 2, 4, 4, 1, 4, 0, 3, 4, 4, 0, 3, 3, 3, 2, 3, 3, 1, 2, 0, 1, 4, 2, 1, 2, 2, 0, 0, 2, 4, 0, 0, 0, 2, 0, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1] pubkeycol1503 = [4, 0, 4, 2, 2, 3, 0, 4, 3, 4, 4, 4, 2, 3, 1, 4, 3, 3, 0, 2, 4, 3, 2, 2, 0, 4, 3, 1, 0, 4, 2, 4, 3, 4, 2, 1, 0, 1, 3, 3, 3, 1, 0, 2, 0, 0, 1, 4, 0, 4, 2, 1, 0, 2, 4, 1, 2, 3, 0, 3, 4, 1, 1, 0, 0, 1, 1, 0, 0, 4, 2, 4, 1, 4, 2, 1, 1, 1, 2, 2, 1, 1, 3, 3, 0, 1, 2, 2, 2, 3, 4, 0, 2, 4, 1, 0, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 1, 3, 2, 0, 0, 2, 1, 0, 1, 2, 4, 3, 2, 2, 4, 3, 2, 0, 3, 4, 1, 1, 4, 4, 4, 2, 1, 2, 1, 3, 0, 3, 2, 4, 3, 0, 3, 3, 0, 1, 3, 1, 4, 1, 2, 4, 1, 1, 1, 4, 0, 1, 0, 2, 3, 2, 0, 2, 4, 2, 2, 2, 1, 0, 4, 3, 2, 0, 2, 4, 4, 3, 0, 1, 3, 2, 1, 2, 3, 0, 3, 0, 1, 0, 0, 1, 2, 2, 0, 3, 2, 0, 3, 0, 0, 2, 2, 2, 1, 4, 4, 3, 4, 4, 0, 3, 2, 2, 3, 3, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 3, 2, 1, 2, 1, 4, 0, 1, 0, 4, 3, 3, 4, 4, 1, 3, 3, 3, 4, 1, 4, 1, 2, 3, 1, 1, 0, 4, 3, 2, 2, 0, 3, 0, 1, 2, 0, 3, 1, 0, 1, 4, 1, 0, 3, 2, 3, 2, 1, 2, 4, 1, 2, 4, 1, 2, 2, 2, 3, 1, 0, 0, 0, 3, 0, 3, 3, 4, 3, 3, 2, 3, 4, 0, 2, 1, 1, 1, 2, 4, 0, 4, 1, 0, 3, 0, 3, 3, 1, 0, 4, 3, 1, 1, 3, 0, 4, 1, 4, 0, 0, 0, 3, 4, 3, 2, 0, 4, 1, 3, 1, 1, 2, 4, 1, 3, 2, 2, 3, 2, 1, 0, 4, 0, 1, 2, 4, 1, 4, 2, 1, 4, 2, 4, 0, 3, 2, 2, 1, 1, 0, 3, 4, 3, 1, 3, 3, 4, 2, 1, 2, 4, 2, 3, 0, 4, 4, 1, 0, 1, 0, 1, 3, 0, 4, 1, 3, 0, 3, 4, 3, 3] pubkeycol1504 = [0, 1, 0, 1, 2, 0, 4, 0, 3, 2, 0, 2, 4, 0, 2, 0, 4, 3, 0, 2, 1, 0, 3, 2, 4, 1, 4, 3, 1, 3, 4, 3, 1, 0, 3, 4, 3, 1, 2, 3, 1, 4, 1, 3, 1, 4, 2, 0, 3, 1, 2, 2, 3, 4, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 2, 4, 3, 2, 3, 2, 3, 2, 2, 2, 4, 3, 3, 3, 3, 4, 0, 1, 3, 0, 0, 1, 3, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 4, 0, 1, 3, 2, 3, 3, 4, 2, 4, 4, 4, 0, 2, 3, 2, 2, 4, 0, 4, 2, 2, 1, 2, 1, 2, 3, 3, 3, 3, 1, 0, 2, 1, 1, 0, 0, 3, 1, 2, 3, 3, 3, 3, 0, 0, 3, 3, 4, 2, 0, 3, 2, 4, 4, 4, 4, 1, 1, 4, 2, 1, 1, 3, 2, 4, 2, 1, 1, 4, 1, 3, 3, 3, 2, 4, 4, 2, 3, 3, 4, 1, 4, 1, 2, 2, 1, 3, 2, 3, 1, 0, 1, 3, 3, 0, 2, 0, 3, 2, 0, 2, 3, 0, 1, 1, 2, 3, 4, 3, 0, 4, 4, 1, 0, 3, 0, 3, 0, 1, 1, 4, 4, 0, 0, 3, 3, 4, 4, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 4, 4, 3, 0, 2, 2, 1, 1, 4, 2, 0, 1, 2, 4, 3, 0, 3, 4, 3, 1, 2, 3, 2, 0, 1, 3, 1, 1, 4, 4, 4, 2, 1, 4, 2, 3, 0, 2, 2, 3, 0, 4, 4, 2, 3, 3, 1, 2, 3, 0, 0, 0, 0, 3, 2, 3, 0, 1, 1, 4, 1, 1, 3, 1, 2, 1, 0, 1, 4, 2, 3, 2, 0, 4, 1, 1, 3, 3, 0, 1, 2, 4, 4, 0, 1, 3, 4, 2, 2, 0, 2, 4, 2, 0, 3, 4, 1, 4, 1, 0, 4, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 4, 0, 4, 1, 0, 0, 3, 0, 4, 1, 3, 1, 3, 0, 0, 4, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 4, 3, 0, 1, 0, 2, 4, 4, 4, 2, 0, 2, 3, 1, 2, 3, 4, 3, 2, 2, 1, 3] pubkeycol1505 = [2, 0, 3, 4, 4, 1, 2, 1, 2, 4, 3, 3, 2, 4, 2, 3, 1, 1, 3, 0, 3, 3, 3, 1, 1, 4, 3, 4, 3, 3, 0, 1, 1, 1, 2, 2, 3, 0, 3, 4, 2, 4, 4, 0, 2, 4, 4, 2, 3, 2, 2, 1, 2, 3, 0, 4, 0, 1, 0, 3, 3, 4, 0, 2, 0, 4, 4, 2, 0, 3, 3, 1, 1, 1, 3, 4, 4, 0, 4, 4, 3, 3, 1, 0, 3, 2, 4, 1, 2, 2, 1, 0, 3, 2, 4, 0, 1, 0, 3, 1, 3, 3, 4, 0, 0, 2, 2, 2, 1, 0, 4, 1, 2, 0, 4, 3, 4, 1, 1, 0, 4, 4, 1, 1, 1, 3, 2, 4, 3, 3, 4, 3, 2, 4, 3, 2, 0, 4, 2, 1, 2, 4, 3, 2, 4, 3, 1, 2, 3, 2, 0, 3, 1, 0, 3, 4, 2, 4, 1, 4, 4, 0, 4, 1, 1, 4, 1, 1, 3, 0, 1, 4, 4, 0, 3, 0, 2, 1, 0, 2, 0, 3, 1, 4, 1, 0, 1, 1, 1, 3, 0, 3, 3, 1, 2, 1, 2, 1, 0, 3, 3, 0, 2, 0, 3, 3, 2, 4, 2, 4, 0, 1, 1, 3, 2, 3, 3, 4, 4, 1, 4, 0, 0, 2, 0, 3, 1, 0, 0, 0, 0, 2, 1, 3, 3, 0, 4, 0, 0, 2, 3, 1, 3, 2, 2, 3, 4, 0, 3, 4, 4, 1, 1, 4, 4, 1, 2, 1, 2, 3, 0, 1, 1, 4, 0, 1, 1, 3, 3, 1, 3, 3, 2, 2, 0, 4, 2, 2, 4, 3, 3, 4, 2, 4, 2, 3, 1, 2, 0, 3, 3, 1, 4, 1, 4, 1, 3, 1, 0, 4, 0, 4, 1, 1, 3, 4, 2, 4, 0, 3, 4, 0, 3, 2, 4, 1, 1, 0, 3, 3, 4, 0, 2, 3, 1, 3, 0, 1, 0, 4, 2, 2, 2, 0, 4, 1, 4, 4, 2, 3, 4, 0, 1, 1, 1, 1, 4, 1, 3, 3, 0, 1, 0, 1, 0, 2, 3, 3, 1, 2, 3, 0, 1, 3, 2, 4, 2, 0, 0, 3, 4, 3, 2, 2, 4, 1, 0, 3, 1, 3, 2, 2, 2, 4, 3, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 3, 1, 2] pubkeycol1506 = [4, 4, 0, 1, 2, 2, 2, 3, 2, 2, 1, 2, 1, 1, 3, 2, 1, 3, 1, 1, 2, 4, 0, 3, 2, 0, 4, 2, 3, 4, 1, 2, 4, 0, 2, 3, 0, 3, 3, 1, 1, 3, 0, 3, 4, 1, 1, 2, 3, 2, 1, 1, 1, 0, 2, 1, 4, 2, 0, 2, 4, 2, 4, 0, 4, 0, 0, 4, 0, 3, 3, 4, 2, 3, 1, 1, 4, 1, 2, 1, 2, 3, 0, 4, 0, 0, 3, 4, 1, 1, 0, 3, 3, 4, 1, 3, 0, 0, 1, 2, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4, 2, 3, 0, 0, 4, 1, 2, 0, 1, 1, 3, 4, 1, 3, 3, 2, 1, 4, 2, 0, 4, 2, 2, 4, 3, 0, 4, 0, 4, 3, 1, 1, 2, 3, 0, 0, 3, 0, 4, 0, 1, 2, 1, 2, 3, 3, 4, 2, 0, 1, 1, 1, 3, 3, 0, 3, 1, 2, 4, 0, 0, 3, 3, 3, 1, 1, 3, 4, 2, 3, 2, 0, 3, 4, 4, 3, 2, 3, 4, 2, 2, 1, 3, 4, 2, 4, 3, 1, 3, 1, 1, 3, 0, 2, 0, 3, 4, 3, 1, 1, 2, 2, 3, 4, 1, 4, 3, 4, 4, 0, 2, 3, 4, 1, 4, 1, 2, 2, 4, 2, 1, 2, 4, 3, 2, 2, 4, 1, 2, 0, 2, 0, 1, 4, 3, 4, 3, 3, 2, 4, 1, 2, 4, 0, 2, 4, 0, 4, 1, 0, 1, 4, 1, 1, 0, 2, 2, 2, 2, 1, 2, 3, 0, 1, 1, 0, 2, 4, 2, 1, 1, 1, 1, 4, 4, 1, 1, 3, 2, 2, 2, 1, 3, 4, 1, 4, 4, 2, 4, 3, 0, 4, 2, 3, 4, 4, 3, 4, 2, 3, 0, 3, 3, 3, 3, 1, 3, 4, 3, 3, 3, 1, 0, 1, 2, 0, 1, 0, 2, 3, 3, 0, 4, 1, 4, 1, 2, 1, 1, 4, 2, 2, 2, 3, 3, 0, 4, 0, 1, 0, 3, 0, 4, 1, 3, 1, 2, 3, 0, 2, 4, 2, 4, 0, 4, 1, 3, 3, 2, 4, 1, 1, 0, 2, 3, 3, 3, 1, 4, 0, 0, 0, 4, 0, 4, 4, 4, 2, 3, 1, 4, 3, 0, 2, 2, 3, 3, 0, 3] pubkeycol1507 = [3, 2, 4, 1, 0, 0, 3, 1, 3, 3, 0, 4, 1, 2, 0, 1, 2, 1, 3, 3, 4, 1, 4, 2, 0, 1, 0, 0, 2, 3, 2, 0, 3, 3, 4, 0, 3, 0, 1, 0, 2, 1, 3, 4, 0, 1, 3, 1, 1, 4, 0, 2, 0, 1, 3, 1, 0, 0, 2, 1, 3, 3, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 4, 4, 1, 1, 3, 0, 4, 0, 1, 1, 2, 3, 0, 2, 4, 4, 3, 3, 2, 2, 2, 4, 0, 1, 2, 1, 0, 1, 3, 3, 2, 4, 4, 4, 3, 4, 3, 4, 3, 3, 0, 3, 1, 0, 3, 2, 3, 3, 1, 3, 4, 1, 4, 4, 0, 1, 3, 1, 1, 2, 0, 3, 1, 3, 4, 4, 2, 4, 0, 2, 0, 0, 0, 0, 4, 4, 3, 4, 0, 3, 3, 0, 1, 1, 2, 1, 4, 3, 4, 0, 4, 1, 3, 3, 2, 4, 2, 0, 1, 4, 3, 1, 4, 0, 2, 0, 3, 3, 0, 4, 2, 4, 4, 0, 0, 4, 3, 3, 3, 2, 0, 4, 3, 0, 3, 2, 4, 2, 0, 2, 4, 3, 4, 4, 1, 0, 1, 1, 0, 1, 4, 4, 0, 0, 2, 3, 3, 0, 3, 3, 3, 3, 1, 0, 3, 4, 2, 2, 4, 2, 2, 3, 1, 3, 1, 2, 3, 3, 4, 1, 2, 0, 3, 2, 0, 2, 0, 2, 4, 1, 2, 4, 0, 4, 0, 3, 3, 3, 2, 0, 1, 0, 4, 0, 1, 1, 4, 3, 0, 0, 1, 0, 4, 2, 2, 2, 2, 4, 2, 0, 4, 0, 0, 2, 3, 2, 1, 1, 0, 0, 1, 0, 4, 4, 0, 2, 3, 3, 3, 0, 2, 2, 3, 0, 3, 3, 2, 1, 1, 2, 3, 1, 0, 3, 0, 0, 1, 2, 0, 0, 4, 2, 0, 4, 3, 3, 0, 3, 2, 4, 1, 4, 0, 0, 3, 0, 0, 4, 2, 3, 2, 3, 1, 0, 3, 1, 1, 3, 1, 0, 3, 0, 3, 4, 4, 1, 4, 0, 2, 0, 2, 4, 3, 0, 2, 2, 1, 3, 2, 2, 1, 1, 0, 0, 2, 1, 3, 1, 0, 2, 1, 4, 0, 3, 4, 2, 2, 0, 2, 3, 0, 0, 4, 1, 0, 1, 0, 3] pubkeycol1508 = [2, 2, 1, 3, 1, 3, 1, 0, 4, 1, 4, 2, 2, 2, 0, 4, 1, 2, 1, 2, 4, 4, 4, 2, 2, 4, 1, 2, 4, 3, 0, 2, 3, 1, 3, 2, 2, 2, 4, 3, 4, 4, 0, 3, 2, 3, 4, 1, 4, 2, 1, 4, 0, 4, 4, 2, 2, 2, 3, 3, 0, 3, 4, 2, 1, 3, 4, 3, 1, 2, 1, 4, 2, 4, 4, 2, 1, 4, 4, 4, 4, 3, 2, 3, 2, 0, 0, 3, 3, 4, 0, 3, 0, 0, 0, 4, 2, 4, 2, 1, 3, 0, 1, 0, 4, 0, 2, 0, 4, 1, 3, 3, 4, 2, 3, 3, 3, 3, 0, 4, 0, 2, 3, 1, 4, 2, 2, 2, 3, 0, 1, 0, 3, 3, 4, 2, 3, 2, 4, 3, 1, 2, 0, 1, 1, 4, 3, 1, 4, 0, 3, 0, 2, 4, 1, 2, 3, 3, 1, 0, 1, 4, 3, 1, 1, 4, 4, 4, 2, 0, 1, 2, 2, 3, 0, 0, 0, 3, 3, 2, 0, 4, 0, 0, 0, 3, 0, 0, 2, 1, 0, 2, 0, 3, 4, 4, 4, 4, 4, 1, 3, 2, 3, 0, 4, 1, 2, 0, 0, 2, 4, 0, 1, 3, 2, 3, 0, 1, 0, 1, 2, 0, 1, 0, 3, 1, 0, 4, 1, 3, 1, 1, 0, 2, 0, 2, 4, 3, 4, 4, 2, 1, 0, 2, 3, 2, 1, 4, 2, 0, 1, 4, 3, 3, 1, 2, 1, 0, 0, 0, 0, 1, 3, 0, 2, 0, 1, 4, 2, 2, 1, 3, 2, 1, 3, 0, 2, 3, 3, 4, 4, 3, 1, 0, 1, 3, 1, 2, 4, 4, 0, 4, 4, 4, 4, 0, 4, 3, 0, 3, 4, 0, 3, 2, 1, 4, 0, 3, 1, 0, 1, 4, 2, 3, 4, 0, 0, 3, 2, 2, 4, 2, 0, 2, 1, 2, 4, 0, 4, 3, 2, 0, 0, 2, 3, 3, 3, 1, 3, 0, 1, 2, 1, 1, 3, 4, 2, 1, 0, 1, 1, 3, 0, 0, 1, 3, 3, 0, 1, 4, 0, 1, 3, 4, 4, 0, 3, 2, 3, 2, 2, 3, 3, 0, 2, 4, 4, 3, 4, 0, 4, 1, 0, 0, 2, 4, 0, 2, 3, 3, 0, 1, 0, 4, 0, 4, 2, 4, 0, 3] pubkeycol1509 = [2, 0, 3, 4, 3, 4, 4, 0, 3, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 3, 3, 0, 4, 2, 0, 0, 0, 0, 4, 1, 1, 3, 0, 1, 4, 0, 0, 3, 4, 1, 3, 1, 1, 0, 0, 3, 2, 3, 2, 3, 1, 4, 4, 0, 2, 0, 0, 0, 3, 0, 0, 3, 2, 3, 3, 1, 0, 4, 1, 3, 3, 1, 1, 0, 0, 2, 2, 0, 2, 3, 0, 1, 4, 1, 2, 2, 3, 0, 0, 1, 2, 4, 2, 2, 1, 3, 2, 0, 0, 3, 2, 3, 4, 0, 3, 2, 1, 2, 0, 4, 2, 2, 3, 4, 4, 0, 2, 1, 3, 3, 4, 2, 0, 2, 1, 4, 1, 3, 1, 0, 4, 2, 4, 2, 2, 0, 0, 2, 1, 0, 1, 1, 3, 1, 4, 1, 1, 1, 1, 3, 4, 1, 0, 2, 0, 3, 2, 2, 0, 0, 1, 0, 2, 0, 4, 0, 1, 1, 4, 3, 3, 4, 2, 1, 4, 4, 4, 1, 1, 3, 2, 2, 4, 3, 4, 3, 0, 2, 1, 0, 1, 4, 2, 3, 4, 3, 1, 2, 1, 1, 1, 0, 0, 3, 2, 3, 1, 1, 4, 3, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 3, 3, 3, 2, 0, 1, 0, 0, 3, 1, 2, 4, 0, 1, 3, 2, 4, 1, 2, 3, 1, 3, 0, 2, 3, 4, 1, 1, 2, 4, 0, 4, 4, 0, 2, 4, 0, 0, 0, 1, 2, 0, 3, 4, 4, 0, 2, 4, 0, 2, 1, 1, 3, 1, 2, 1, 4, 2, 3, 4, 4, 4, 3, 2, 0, 0, 1, 2, 3, 0, 4, 0, 0, 1, 1, 1, 1, 4, 3, 2, 3, 3, 2, 0, 1, 3, 4, 1, 4, 1, 1, 2, 0, 2, 3, 2, 4, 0, 3, 0, 2, 2, 1, 2, 2, 4, 3, 2, 3, 3, 3, 1, 4, 3, 0, 3, 4, 4, 2, 4, 1, 4, 4, 0, 4, 1, 4, 3, 2, 0, 2, 1, 3, 0, 4, 1, 4, 3, 2, 3, 0, 0, 3, 0, 0, 0, 4, 3, 1, 2, 1, 1, 4, 4, 2, 3, 3, 1, 4, 1, 1, 1, 2, 1, 2, 3, 2, 2, 3, 3, 2, 1, 3, 1, 4, 1, 2, 2] pubkeycol1510 = [3, 4, 4, 3, 2, 0, 4, 0, 3, 1, 1, 2, 1, 0, 4, 3, 3, 2, 4, 3, 2, 3, 0, 2, 2, 0, 2, 3, 4, 4, 1, 3, 2, 2, 0, 3, 4, 0, 4, 3, 1, 1, 4, 4, 0, 2, 1, 4, 2, 1, 3, 3, 3, 4, 4, 1, 1, 1, 1, 0, 4, 1, 4, 3, 1, 0, 2, 2, 4, 2, 1, 2, 3, 2, 4, 2, 1, 2, 3, 1, 1, 3, 3, 0, 1, 3, 2, 0, 1, 4, 1, 3, 0, 4, 4, 2, 4, 3, 2, 0, 2, 1, 3, 4, 1, 1, 1, 2, 1, 4, 1, 2, 4, 4, 2, 2, 3, 2, 3, 4, 2, 1, 4, 4, 3, 2, 4, 1, 2, 1, 2, 2, 4, 1, 2, 1, 3, 3, 1, 3, 4, 1, 4, 2, 1, 1, 4, 4, 4, 4, 4, 3, 4, 0, 1, 0, 1, 3, 3, 2, 0, 1, 1, 4, 1, 4, 3, 0, 1, 4, 1, 2, 0, 3, 0, 0, 0, 1, 0, 2, 0, 4, 3, 1, 2, 3, 3, 3, 4, 4, 3, 1, 3, 2, 3, 0, 1, 2, 4, 1, 2, 3, 3, 4, 4, 0, 1, 4, 1, 3, 4, 2, 1, 2, 1, 1, 3, 0, 2, 3, 1, 3, 3, 1, 2, 2, 0, 0, 2, 2, 4, 2, 1, 0, 4, 2, 1, 2, 4, 1, 1, 2, 3, 3, 3, 1, 3, 1, 1, 0, 3, 3, 0, 1, 1, 4, 1, 2, 0, 0, 3, 1, 4, 3, 4, 1, 1, 1, 1, 4, 2, 3, 0, 4, 3, 0, 1, 1, 0, 4, 4, 2, 0, 1, 1, 4, 1, 3, 4, 1, 0, 1, 2, 0, 1, 2, 3, 1, 3, 2, 2, 4, 1, 0, 0, 3, 1, 3, 4, 3, 0, 2, 4, 1, 2, 1, 0, 4, 3, 1, 1, 3, 0, 1, 3, 1, 0, 3, 2, 3, 4, 1, 3, 4, 4, 1, 2, 1, 4, 2, 3, 0, 2, 0, 3, 4, 4, 4, 4, 3, 3, 3, 0, 4, 3, 1, 4, 4, 1, 3, 1, 4, 2, 4, 3, 2, 4, 4, 2, 4, 3, 1, 0, 3, 2, 0, 4, 1, 0, 4, 3, 2, 4, 1, 2, 3, 4, 4, 4, 0, 3, 0, 3, 1, 1, 4, 0, 2, 0, 4] pubkeycol1511 = [4, 1, 2, 0, 2, 0, 3, 0, 3, 0, 3, 3, 1, 4, 2, 1, 2, 1, 4, 0, 0, 4, 0, 3, 3, 0, 2, 2, 2, 0, 1, 2, 0, 3, 4, 3, 0, 3, 1, 3, 4, 2, 2, 0, 4, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 4, 1, 4, 2, 0, 3, 3, 0, 0, 3, 2, 1, 1, 1, 3, 4, 3, 4, 0, 2, 1, 1, 1, 0, 1, 3, 4, 2, 0, 1, 4, 1, 4, 1, 2, 4, 2, 2, 4, 4, 0, 4, 0, 2, 2, 1, 4, 2, 4, 2, 2, 0, 0, 3, 0, 2, 3, 1, 0, 4, 1, 3, 0, 0, 0, 2, 2, 4, 4, 0, 4, 3, 4, 4, 2, 2, 2, 0, 1, 1, 4, 3, 1, 3, 2, 4, 2, 1, 4, 0, 0, 4, 0, 3, 4, 3, 2, 0, 0, 0, 0, 1, 3, 4, 0, 1, 0, 2, 4, 4, 3, 2, 3, 3, 3, 3, 0, 1, 1, 4, 2, 4, 2, 2, 2, 0, 0, 3, 4, 0, 4, 2, 1, 1, 1, 4, 2, 2, 0, 0, 3, 1, 1, 2, 1, 1, 0, 1, 4, 2, 2, 4, 2, 2, 2, 2, 2, 2, 4, 2, 3, 3, 0, 3, 1, 3, 4, 1, 0, 4, 2, 0, 4, 3, 0, 2, 2, 2, 1, 2, 4, 4, 0, 0, 4, 3, 2, 4, 4, 4, 3, 3, 0, 4, 3, 3, 3, 2, 0, 1, 1, 4, 2, 0, 3, 0, 2, 4, 2, 4, 4, 0, 4, 1, 2, 2, 2, 1, 4, 2, 1, 4, 1, 0, 3, 1, 4, 0, 1, 1, 3, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 4, 4, 3, 1, 3, 3, 0, 4, 2, 2, 2, 2, 4, 1, 2, 1, 1, 1, 1, 0, 3, 4, 3, 4, 4, 3, 3, 4, 4, 2, 0, 3, 3, 3, 2, 2, 0, 2, 3, 2, 2, 0, 3, 2, 4, 3, 4, 4, 0, 2, 1, 2, 4, 4, 0, 0, 1, 0, 0, 3, 3, 3, 3, 2, 3, 1, 4, 4, 4, 2, 4, 1, 0, 3, 3, 4, 0, 4, 3, 0, 3, 2, 1, 1, 0, 3, 4, 2, 3, 1, 1, 4, 3, 3, 3, 3, 4, 1, 4, 2, 4] pubkeycol1512 = [1, 0, 3, 4, 2, 2, 1, 2, 3, 1, 2, 4, 2, 3, 2, 0, 1, 4, 1, 4, 2, 4, 3, 2, 4, 2, 0, 3, 2, 3, 1, 3, 0, 3, 2, 4, 0, 0, 4, 1, 4, 1, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 2, 0, 0, 0, 0, 1, 4, 0, 4, 4, 2, 1, 1, 1, 1, 4, 1, 0, 4, 3, 2, 2, 4, 1, 4, 1, 3, 3, 3, 4, 4, 3, 1, 3, 3, 3, 1, 3, 0, 3, 3, 0, 4, 0, 1, 3, 1, 0, 0, 0, 4, 4, 1, 0, 0, 2, 3, 2, 0, 0, 0, 2, 3, 1, 2, 2, 4, 2, 0, 0, 1, 1, 0, 2, 4, 2, 1, 0, 4, 1, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 1, 3, 3, 0, 4, 4, 3, 2, 4, 0, 2, 0, 3, 2, 4, 4, 4, 3, 0, 2, 3, 1, 4, 2, 1, 1, 1, 0, 4, 1, 1, 3, 1, 2, 4, 0, 3, 0, 1, 3, 3, 4, 3, 3, 1, 1, 3, 2, 3, 4, 3, 1, 4, 0, 1, 3, 3, 2, 2, 3, 0, 1, 0, 2, 4, 2, 2, 2, 1, 1, 0, 3, 1, 3, 4, 2, 0, 4, 0, 0, 0, 0, 3, 2, 2, 0, 2, 3, 0, 2, 1, 2, 3, 4, 0, 2, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 3, 3, 1, 2, 3, 0, 0, 3, 3, 4, 3, 3, 1, 1, 2, 2, 4, 4, 4, 4, 2, 4, 3, 4, 1, 1, 0, 4, 2, 2, 2, 1, 4, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 3, 2, 4, 0, 2, 1, 1, 4, 1, 0, 3, 0, 4, 4, 1, 3, 0, 4, 2, 1, 4, 2, 4, 1, 3, 2, 4, 4, 2, 2, 0, 4, 0, 3, 2, 3, 2, 4, 2, 4, 0, 4, 3, 0, 1, 2, 4, 4, 1, 4, 2, 0, 4, 0, 2, 4, 0, 2, 3, 4, 3, 0, 0, 0, 2, 1, 2, 0, 2, 1, 4, 4, 2, 2, 0, 4, 1, 2, 0, 1, 4, 0, 3, 0, 4, 2, 3, 0, 0, 2, 2, 4, 2, 2, 0, 4, 2, 3, 0, 2, 4, 0, 4, 0, 1, 0] pubkeycol1513 = [4, 0, 0, 4, 4, 2, 0, 2, 1, 0, 1, 0, 0, 3, 2, 0, 2, 0, 3, 0, 2, 0, 2, 3, 1, 0, 2, 3, 1, 4, 2, 0, 1, 0, 0, 2, 4, 1, 4, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 4, 0, 0, 3, 0, 4, 1, 0, 0, 3, 1, 3, 4, 1, 2, 1, 2, 0, 1, 2, 0, 4, 4, 1, 4, 3, 2, 4, 4, 4, 0, 1, 4, 2, 4, 0, 4, 0, 4, 1, 2, 3, 2, 4, 3, 4, 4, 4, 0, 3, 4, 4, 0, 1, 1, 1, 1, 2, 0, 4, 2, 2, 0, 0, 3, 4, 3, 2, 2, 4, 3, 0, 0, 4, 3, 1, 4, 4, 4, 1, 1, 3, 4, 1, 4, 2, 0, 1, 2, 4, 2, 0, 4, 3, 1, 3, 4, 4, 3, 2, 1, 0, 1, 4, 1, 0, 1, 2, 0, 2, 1, 2, 3, 2, 2, 0, 3, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 3, 3, 3, 0, 2, 3, 3, 4, 1, 0, 1, 4, 0, 0, 1, 0, 2, 3, 2, 4, 0, 0, 1, 2, 4, 1, 2, 4, 1, 3, 2, 2, 0, 1, 3, 3, 4, 3, 1, 2, 3, 0, 3, 1, 0, 1, 2, 3, 1, 1, 0, 2, 3, 4, 3, 4, 3, 2, 4, 0, 3, 1, 4, 0, 2, 0, 1, 1, 3, 3, 3, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 4, 1, 1, 0, 2, 0, 3, 1, 1, 4, 4, 3, 4, 2, 4, 4, 0, 0, 2, 4, 4, 3, 3, 4, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 3, 2, 3, 1, 4, 2, 4, 4, 0, 0, 1, 2, 2, 4, 3, 3, 2, 0, 4, 3, 0, 1, 3, 1, 4, 4, 3, 4, 2, 0, 1, 0, 3, 2, 1, 1, 2, 3, 2, 4, 1, 4, 1, 2, 0, 3, 0, 4, 2, 3, 4, 0, 2, 4, 1, 4, 0, 3, 4, 3, 0, 1, 3, 0, 0, 0, 2, 1, 4, 1, 3, 2, 3, 2, 4, 4, 4, 0, 0, 3, 4, 0, 3, 3, 0, 2, 0, 0, 4, 2, 4, 3, 2, 0, 2, 3, 1, 2, 0, 2, 4, 2, 2, 4, 4] pubkeycol1514 = [4, 0, 0, 1, 1, 2, 2, 1, 3, 2, 1, 1, 1, 0, 3, 2, 1, 1, 3, 4, 3, 1, 4, 1, 4, 1, 3, 1, 4, 0, 2, 3, 0, 0, 1, 2, 2, 2, 3, 0, 2, 0, 2, 1, 4, 2, 4, 1, 3, 3, 4, 3, 2, 3, 1, 2, 0, 0, 2, 2, 2, 1, 1, 4, 1, 1, 0, 3, 3, 4, 1, 3, 1, 2, 0, 4, 2, 0, 3, 1, 3, 4, 4, 3, 1, 0, 0, 3, 4, 1, 1, 3, 2, 3, 2, 2, 0, 4, 3, 3, 1, 0, 3, 1, 1, 4, 0, 1, 3, 0, 3, 3, 2, 0, 0, 1, 3, 1, 3, 2, 0, 2, 1, 1, 0, 2, 2, 0, 4, 1, 0, 1, 4, 0, 0, 3, 1, 4, 3, 0, 2, 0, 2, 2, 1, 4, 3, 3, 4, 4, 4, 3, 0, 0, 3, 4, 1, 0, 4, 2, 1, 0, 2, 2, 3, 2, 3, 1, 1, 0, 4, 1, 3, 4, 2, 1, 0, 4, 0, 2, 2, 3, 2, 0, 4, 1, 2, 2, 4, 0, 3, 0, 0, 3, 2, 3, 1, 0, 1, 4, 0, 3, 1, 4, 2, 0, 1, 3, 1, 2, 1, 0, 0, 3, 1, 2, 3, 0, 3, 3, 0, 4, 0, 4, 1, 3, 0, 1, 0, 3, 2, 3, 0, 0, 3, 4, 1, 0, 2, 3, 2, 4, 1, 1, 4, 1, 1, 0, 0, 3, 4, 1, 2, 0, 1, 4, 1, 2, 0, 1, 2, 2, 1, 3, 3, 0, 1, 3, 2, 0, 1, 3, 4, 2, 1, 2, 2, 0, 3, 1, 1, 4, 3, 3, 3, 3, 0, 4, 1, 3, 0, 3, 4, 1, 3, 2, 0, 1, 4, 2, 3, 1, 3, 1, 0, 2, 0, 4, 3, 2, 2, 0, 4, 3, 4, 0, 4, 0, 4, 4, 2, 2, 1, 3, 4, 1, 3, 3, 3, 2, 3, 4, 1, 4, 4, 3, 0, 2, 1, 3, 4, 1, 0, 4, 1, 0, 4, 0, 1, 2, 2, 0, 0, 3, 4, 0, 2, 4, 4, 4, 2, 0, 2, 0, 0, 3, 0, 2, 3, 2, 4, 0, 3, 0, 1, 0, 4, 3, 2, 3, 2, 1, 1, 1, 4, 0, 4, 2, 4, 4, 1, 3, 2, 0, 3, 1, 1, 1, 4, 3] pubkeycol1515 = [3, 3, 2, 4, 3, 3, 4, 3, 4, 4, 2, 4, 0, 1, 0, 1, 2, 4, 2, 3, 1, 1, 0, 3, 0, 2, 4, 1, 3, 0, 4, 3, 0, 3, 2, 0, 3, 1, 4, 3, 4, 4, 0, 4, 3, 3, 4, 1, 4, 2, 3, 1, 1, 4, 3, 2, 3, 1, 3, 1, 1, 1, 1, 3, 2, 4, 2, 0, 2, 4, 3, 4, 0, 4, 3, 1, 4, 0, 0, 2, 0, 4, 1, 3, 1, 1, 1, 0, 1, 0, 3, 4, 3, 1, 1, 4, 1, 3, 1, 1, 1, 0, 1, 0, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 2, 0, 4, 4, 2, 2, 4, 4, 3, 1, 2, 2, 1, 3, 3, 2, 2, 4, 4, 3, 0, 0, 1, 4, 3, 0, 4, 4, 3, 3, 4, 2, 3, 4, 0, 2, 4, 0, 3, 1, 1, 1, 3, 2, 2, 4, 4, 4, 1, 1, 3, 3, 0, 4, 3, 4, 2, 4, 0, 0, 2, 4, 4, 1, 3, 0, 2, 1, 4, 3, 0, 3, 0, 2, 1, 4, 4, 1, 2, 0, 4, 0, 2, 4, 3, 4, 0, 3, 2, 1, 1, 4, 2, 3, 2, 2, 3, 2, 1, 4, 0, 4, 2, 1, 2, 4, 1, 3, 2, 1, 1, 4, 1, 2, 2, 3, 2, 4, 0, 3, 3, 1, 3, 2, 2, 1, 1, 1, 0, 2, 3, 3, 3, 2, 4, 4, 2, 1, 4, 3, 0, 0, 3, 0, 4, 2, 3, 2, 3, 2, 0, 3, 1, 1, 0, 1, 3, 4, 0, 0, 2, 3, 1, 0, 4, 3, 0, 0, 3, 3, 4, 2, 2, 2, 0, 4, 1, 2, 1, 0, 1, 0, 2, 1, 3, 3, 4, 3, 1, 2, 0, 3, 0, 0, 3, 0, 3, 3, 2, 3, 0, 3, 1, 1, 2, 4, 3, 2, 1, 1, 3, 4, 0, 0, 4, 0, 2, 0, 4, 2, 3, 3, 3, 3, 0, 0, 2, 2, 2, 3, 3, 2, 0, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 4, 4, 1, 1, 4, 0, 0, 4, 2, 2, 3, 1, 4, 1, 4, 4, 3, 0, 3, 1, 0, 3, 1, 0, 3, 3, 3, 0, 4, 2, 1, 4, 1, 0, 2, 0, 4] pubkeycol1516 = [2, 4, 4, 1, 0, 2, 4, 3, 0, 0, 0, 0, 3, 0, 2, 2, 2, 4, 2, 0, 2, 3, 3, 1, 2, 0, 1, 3, 3, 4, 0, 1, 2, 0, 3, 0, 0, 1, 4, 4, 2, 3, 2, 0, 3, 3, 0, 2, 1, 2, 2, 3, 4, 2, 1, 2, 3, 3, 2, 1, 4, 2, 2, 1, 1, 2, 0, 0, 3, 4, 0, 1, 2, 2, 4, 2, 2, 1, 3, 2, 4, 0, 2, 0, 4, 4, 4, 0, 3, 1, 2, 1, 1, 0, 0, 1, 3, 0, 3, 2, 4, 1, 1, 4, 3, 3, 3, 1, 4, 3, 2, 4, 0, 1, 1, 4, 1, 2, 0, 2, 2, 2, 3, 0, 3, 3, 0, 4, 0, 1, 2, 0, 1, 1, 4, 0, 4, 1, 3, 0, 0, 1, 1, 3, 1, 0, 2, 0, 0, 1, 2, 0, 1, 4, 4, 2, 1, 1, 2, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 3, 1, 2, 4, 2, 4, 2, 0, 0, 3, 3, 0, 0, 0, 2, 2, 4, 4, 3, 2, 4, 1, 3, 3, 1, 1, 1, 1, 4, 3, 4, 2, 1, 2, 2, 1, 0, 1, 0, 3, 2, 1, 1, 2, 3, 4, 3, 0, 1, 0, 2, 4, 2, 2, 1, 2, 3, 1, 0, 2, 3, 0, 0, 4, 4, 3, 4, 3, 4, 0, 1, 2, 1, 0, 2, 1, 0, 2, 4, 3, 2, 2, 2, 0, 4, 4, 0, 4, 0, 1, 1, 3, 4, 0, 3, 1, 2, 3, 3, 2, 2, 4, 3, 2, 3, 3, 2, 0, 2, 0, 2, 3, 1, 2, 0, 2, 2, 3, 2, 0, 1, 0, 4, 3, 2, 2, 1, 2, 4, 4, 1, 1, 3, 4, 2, 3, 0, 0, 4, 0, 2, 3, 2, 3, 3, 3, 3, 4, 0, 3, 2, 3, 4, 0, 2, 3, 3, 3, 0, 1, 0, 0, 3, 1, 4, 4, 3, 1, 2, 1, 0, 0, 3, 3, 4, 4, 1, 1, 1, 3, 4, 3, 4, 2, 2, 2, 2, 4, 4, 1, 4, 1, 1, 3, 2, 4, 2, 3, 3, 2, 2, 3, 4, 1, 1, 0, 4, 3, 2, 2, 2, 4, 0, 3, 3, 4, 1, 0, 1, 2, 1, 0, 2, 4, 4, 4, 0] pubkeycol1517 = [4, 1, 2, 3, 0, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 0, 1, 0, 4, 1, 3, 4, 3, 4, 0, 2, 4, 1, 4, 2, 1, 4, 2, 2, 3, 2, 3, 4, 2, 3, 0, 1, 3, 3, 1, 0, 0, 3, 2, 1, 3, 1, 3, 0, 0, 3, 4, 2, 4, 1, 3, 4, 3, 2, 0, 4, 0, 4, 3, 3, 1, 1, 1, 2, 1, 0, 3, 1, 3, 3, 2, 0, 0, 4, 2, 1, 2, 0, 1, 1, 1, 1, 3, 1, 2, 3, 0, 0, 0, 1, 3, 0, 4, 3, 1, 4, 0, 0, 3, 0, 4, 4, 4, 3, 4, 2, 2, 4, 2, 3, 2, 0, 2, 1, 4, 4, 1, 0, 1, 2, 4, 3, 2, 1, 1, 4, 2, 0, 2, 4, 0, 3, 1, 3, 2, 1, 4, 1, 3, 4, 0, 4, 3, 1, 4, 2, 0, 0, 4, 2, 4, 4, 1, 4, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 1, 3, 1, 0, 3, 4, 4, 0, 1, 2, 3, 1, 1, 1, 3, 4, 3, 2, 4, 0, 1, 4, 2, 2, 1, 2, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 3, 0, 4, 2, 1, 2, 1, 3, 4, 1, 3, 0, 3, 0, 2, 0, 4, 4, 2, 1, 4, 1, 4, 0, 1, 1, 0, 0, 1, 2, 4, 1, 3, 1, 0, 2, 2, 1, 4, 3, 4, 4, 3, 3, 1, 0, 4, 2, 1, 1, 1, 0, 4, 1, 2, 0, 1, 2, 0, 4, 2, 2, 0, 1, 1, 4, 3, 3, 0, 0, 4, 3, 0, 1, 2, 3, 2, 4, 1, 0, 3, 1, 1, 3, 3, 3, 4, 3, 2, 0, 1, 0, 4, 1, 4, 4, 4, 4, 2, 2, 3, 3, 4, 0, 2, 1, 1, 2, 4, 2, 4, 3, 1, 1, 3, 0, 2, 3, 1, 4, 0, 3, 2, 3, 1, 1, 3, 2, 3, 0, 3, 4, 4, 0, 4, 0, 1, 2, 3, 3, 0, 4, 2, 0, 1, 4, 0, 0, 1, 1, 3, 2, 1, 0, 3, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 0, 2, 1, 3, 2, 1, 2, 4, 3, 3, 4, 1, 4, 2, 1, 2, 1, 3, 4] pubkeycol1518 = [4, 1, 4, 4, 2, 4, 1, 0, 3, 4, 1, 3, 1, 4, 0, 1, 0, 2, 3, 1, 1, 3, 3, 2, 0, 3, 4, 1, 2, 4, 0, 4, 1, 2, 0, 3, 3, 2, 1, 1, 2, 3, 2, 1, 0, 0, 4, 4, 0, 3, 1, 1, 4, 2, 4, 0, 3, 4, 2, 0, 3, 1, 1, 0, 1, 3, 3, 1, 2, 1, 2, 3, 4, 3, 0, 3, 1, 2, 2, 0, 1, 2, 4, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 3, 0, 1, 0, 2, 0, 0, 1, 3, 1, 2, 0, 3, 4, 2, 0, 1, 3, 1, 0, 3, 4, 3, 0, 2, 1, 2, 3, 0, 0, 4, 4, 0, 3, 0, 1, 3, 4, 2, 4, 1, 2, 4, 4, 0, 3, 0, 0, 4, 4, 0, 3, 4, 1, 4, 1, 4, 4, 2, 0, 0, 0, 4, 4, 4, 4, 0, 3, 1, 3, 0, 2, 3, 1, 4, 0, 0, 3, 3, 0, 2, 2, 2, 0, 4, 1, 2, 3, 4, 3, 3, 4, 4, 3, 0, 2, 4, 4, 4, 1, 3, 2, 1, 1, 1, 0, 1, 0, 1, 1, 3, 2, 4, 3, 0, 4, 0, 3, 0, 4, 1, 1, 0, 1, 1, 4, 0, 2, 1, 0, 2, 2, 0, 1, 3, 0, 1, 0, 2, 2, 3, 4, 4, 2, 4, 3, 3, 3, 4, 2, 2, 2, 4, 1, 0, 0, 0, 0, 0, 3, 3, 3, 2, 3, 1, 4, 1, 4, 2, 0, 0, 0, 2, 1, 2, 1, 4, 2, 1, 0, 0, 3, 0, 1, 3, 2, 3, 0, 1, 3, 2, 1, 3, 2, 4, 3, 4, 3, 3, 3, 1, 3, 0, 2, 4, 1, 3, 0, 0, 2, 1, 3, 2, 1, 3, 4, 1, 4, 0, 4, 0, 4, 2, 4, 4, 1, 4, 3, 1, 3, 3, 2, 4, 3, 0, 2, 2, 0, 1, 4, 0, 3, 4, 4, 1, 2, 2, 0, 4, 3, 2, 1, 2, 0, 4, 1, 1, 3, 3, 2, 1, 2, 3, 3, 0, 4, 1, 0, 3, 4, 0, 0, 4, 3, 1, 4, 0, 2, 4, 3, 0, 4, 2, 2, 2, 4, 2, 2, 3, 4, 0, 3, 0, 1, 2, 0, 2, 3, 3, 1, 1, 0, 4, 4, 1, 2] pubkeycol1519 = [2, 3, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 1, 2, 4, 3, 2, 0, 4, 1, 3, 2, 3, 3, 2, 1, 4, 1, 3, 2, 3, 3, 4, 0, 2, 1, 2, 3, 4, 3, 3, 2, 0, 2, 3, 2, 2, 3, 1, 0, 0, 1, 4, 3, 4, 1, 1, 1, 4, 3, 2, 1, 0, 3, 3, 2, 1, 3, 1, 3, 1, 2, 4, 1, 1, 2, 1, 1, 2, 1, 2, 3, 3, 3, 0, 2, 1, 0, 0, 1, 1, 4, 0, 1, 2, 3, 0, 4, 3, 4, 4, 0, 4, 3, 3, 1, 3, 4, 1, 1, 4, 3, 2, 1, 4, 0, 0, 3, 3, 2, 2, 2, 1, 1, 2, 3, 0, 3, 4, 3, 3, 2, 1, 1, 1, 1, 2, 2, 0, 4, 2, 1, 3, 0, 3, 3, 4, 2, 3, 4, 3, 4, 1, 1, 4, 4, 2, 0, 4, 2, 0, 3, 4, 3, 3, 0, 1, 2, 2, 3, 2, 0, 1, 3, 1, 3, 0, 2, 4, 0, 2, 1, 0, 0, 4, 0, 1, 2, 0, 1, 0, 2, 2, 4, 3, 0, 3, 3, 3, 0, 4, 1, 0, 0, 2, 0, 3, 2, 1, 1, 2, 4, 2, 3, 2, 3, 0, 4, 4, 0, 0, 1, 0, 3, 4, 3, 2, 3, 4, 4, 0, 3, 4, 2, 2, 3, 1, 0, 4, 2, 2, 2, 3, 3, 0, 2, 4, 3, 1, 3, 0, 2, 4, 3, 4, 1, 3, 1, 1, 0, 1, 2, 4, 4, 3, 0, 0, 4, 2, 2, 1, 4, 1, 4, 0, 0, 3, 3, 3, 2, 1, 2, 1, 0, 4, 2, 0, 3, 0, 1, 4, 1, 4, 3, 4, 3, 3, 0, 4, 4, 1, 3, 0, 4, 3, 2, 2, 4, 2, 0, 0, 1, 1, 1, 0, 3, 1, 1, 0, 3, 3, 1, 2, 3, 4, 2, 0, 1, 4, 1, 1, 1, 3, 1, 2, 0, 1, 1, 4, 1, 2, 0, 1, 3, 1, 1, 1, 4, 1, 3, 4, 4, 3, 4, 1, 2, 0, 1, 4, 0, 4, 2, 2, 4, 1, 4, 2, 3, 4, 3, 0, 3, 4, 4, 0, 0, 0, 1, 1, 2, 4, 0, 1, 4, 1, 2, 3, 1, 2, 2, 1, 2, 0, 3, 0, 4, 3, 4, 2, 2] pubkeycol1520 = [0, 1, 4, 3, 4, 1, 2, 1, 3, 4, 4, 2, 4, 4, 3, 4, 2, 0, 4, 2, 1, 3, 1, 0, 1, 4, 4, 1, 2, 3, 3, 0, 1, 2, 2, 3, 0, 1, 0, 3, 1, 3, 1, 1, 2, 4, 0, 1, 2, 0, 3, 3, 2, 4, 2, 2, 4, 4, 2, 2, 4, 2, 2, 0, 2, 1, 1, 4, 3, 2, 3, 3, 0, 4, 3, 0, 3, 3, 4, 2, 0, 2, 2, 1, 3, 3, 1, 0, 4, 4, 1, 0, 0, 3, 0, 1, 2, 4, 1, 3, 0, 1, 2, 2, 0, 0, 2, 3, 4, 1, 1, 3, 2, 0, 0, 4, 4, 3, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 3, 3, 0, 1, 4, 3, 0, 1, 4, 1, 3, 0, 3, 2, 3, 3, 0, 4, 0, 0, 0, 3, 3, 2, 4, 0, 3, 1, 4, 4, 0, 1, 2, 3, 0, 2, 0, 2, 3, 4, 3, 3, 2, 3, 1, 2, 2, 4, 0, 1, 2, 2, 3, 1, 3, 1, 4, 1, 3, 2, 4, 3, 0, 1, 1, 0, 4, 1, 3, 2, 2, 3, 4, 2, 4, 0, 2, 1, 4, 2, 1, 0, 1, 1, 1, 3, 1, 0, 4, 3, 4, 4, 3, 2, 1, 1, 2, 2, 2, 0, 0, 4, 2, 4, 3, 2, 1, 0, 0, 1, 3, 0, 2, 1, 2, 4, 0, 3, 2, 1, 1, 2, 0, 2, 1, 3, 1, 2, 2, 3, 1, 4, 1, 1, 0, 4, 4, 3, 1, 2, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 1, 3, 0, 3, 2, 4, 3, 1, 3, 2, 0, 3, 1, 2, 2, 1, 0, 3, 0, 0, 4, 0, 3, 1, 3, 0, 1, 0, 0, 1, 2, 0, 4, 3, 1, 1, 2, 3, 3, 2, 3, 1, 1, 4, 2, 0, 2, 2, 3, 2, 2, 0, 3, 3, 0, 3, 0, 2, 0, 4, 2, 0, 1, 1, 4, 4, 1, 3, 3, 2, 2, 2, 1, 1, 0, 2, 4, 0, 3, 2, 2, 3, 4, 4, 0, 4, 4, 0, 0, 4, 2, 2, 0, 3, 3, 0, 4, 2, 4, 0, 2, 1, 1, 2, 1, 2, 1, 4, 3, 0, 3, 4, 4, 4, 4, 1, 3, 4, 3, 1] pubkeycol1521 = [3, 1, 3, 4, 1, 2, 4, 0, 2, 3, 0, 1, 3, 0, 1, 0, 3, 3, 3, 0, 0, 0, 2, 1, 3, 2, 1, 2, 0, 2, 0, 1, 0, 0, 3, 2, 0, 0, 4, 1, 1, 3, 0, 2, 3, 0, 0, 3, 0, 2, 1, 1, 4, 0, 0, 2, 0, 0, 0, 3, 1, 1, 4, 4, 1, 0, 3, 3, 3, 0, 2, 2, 4, 0, 4, 1, 0, 3, 0, 2, 0, 4, 0, 1, 0, 4, 4, 4, 4, 2, 2, 2, 4, 3, 0, 2, 3, 1, 4, 2, 2, 2, 1, 4, 2, 0, 3, 4, 2, 4, 3, 2, 4, 0, 4, 4, 2, 0, 3, 1, 0, 3, 0, 2, 2, 4, 2, 4, 3, 4, 0, 3, 4, 0, 0, 4, 1, 3, 4, 2, 4, 1, 2, 2, 4, 1, 1, 3, 3, 0, 3, 3, 1, 4, 1, 4, 1, 4, 3, 2, 0, 0, 3, 3, 0, 2, 3, 1, 4, 1, 3, 3, 2, 3, 3, 2, 1, 1, 0, 4, 1, 2, 4, 3, 2, 2, 2, 4, 1, 0, 1, 3, 0, 2, 4, 2, 1, 2, 4, 1, 3, 4, 1, 3, 4, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 3, 0, 4, 4, 4, 1, 4, 0, 0, 0, 1, 2, 0, 0, 1, 3, 3, 3, 2, 1, 4, 3, 1, 4, 3, 3, 3, 1, 1, 3, 0, 3, 2, 4, 3, 0, 2, 0, 1, 2, 3, 3, 4, 3, 2, 1, 1, 2, 1, 3, 3, 0, 3, 3, 4, 0, 0, 0, 2, 2, 3, 3, 0, 2, 2, 3, 3, 1, 1, 3, 3, 1, 3, 4, 4, 1, 3, 3, 0, 1, 4, 4, 1, 2, 1, 1, 1, 4, 1, 1, 0, 4, 4, 4, 1, 0, 1, 4, 0, 4, 2, 2, 3, 1, 4, 0, 4, 4, 3, 0, 0, 0, 0, 1, 0, 1, 3, 4, 1, 1, 1, 3, 0, 4, 2, 1, 2, 1, 1, 0, 1, 0, 3, 2, 2, 4, 1, 2, 0, 3, 1, 3, 2, 0, 3, 1, 1, 0, 3, 1, 4, 4, 2, 3, 1, 3, 0, 0, 4, 3, 3, 4, 0, 4, 0, 4, 1, 0, 2, 4, 4, 2, 3, 3, 2, 4, 0, 1, 1, 3, 3, 4] pubkeycol1522 = [4, 4, 4, 4, 2, 3, 2, 4, 1, 3, 3, 4, 2, 0, 4, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 4, 2, 0, 0, 0, 1, 0, 1, 3, 4, 4, 4, 0, 0, 4, 2, 0, 3, 3, 2, 2, 1, 4, 4, 3, 0, 3, 4, 1, 4, 3, 4, 1, 1, 2, 0, 0, 0, 0, 3, 1, 4, 4, 2, 3, 1, 1, 1, 1, 3, 2, 1, 2, 0, 0, 1, 4, 0, 3, 0, 4, 4, 3, 1, 0, 4, 1, 2, 2, 4, 4, 3, 4, 4, 1, 1, 3, 3, 0, 0, 3, 1, 0, 0, 3, 4, 3, 4, 2, 0, 4, 0, 0, 3, 0, 1, 1, 3, 1, 0, 0, 2, 3, 0, 4, 0, 2, 3, 0, 3, 3, 1, 4, 4, 3, 2, 1, 2, 2, 3, 4, 1, 0, 3, 1, 4, 4, 1, 2, 0, 0, 0, 1, 3, 3, 2, 1, 3, 3, 4, 4, 2, 2, 2, 3, 4, 0, 2, 0, 0, 3, 1, 2, 3, 3, 2, 0, 2, 3, 0, 4, 0, 3, 1, 4, 4, 3, 4, 3, 3, 4, 4, 4, 0, 4, 2, 2, 4, 4, 0, 3, 3, 0, 3, 0, 3, 2, 2, 0, 0, 2, 4, 0, 4, 3, 0, 2, 1, 1, 3, 2, 1, 0, 2, 0, 3, 0, 1, 0, 3, 0, 0, 4, 2, 0, 4, 2, 4, 4, 1, 1, 2, 2, 0, 3, 3, 4, 1, 0, 1, 1, 0, 2, 0, 4, 3, 4, 4, 3, 0, 4, 2, 0, 0, 2, 3, 4, 1, 3, 1, 3, 2, 0, 3, 4, 4, 4, 1, 3, 2, 1, 0, 0, 3, 3, 2, 0, 2, 4, 2, 2, 1, 1, 4, 4, 4, 2, 1, 2, 1, 3, 1, 3, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 4, 4, 2, 3, 3, 0, 4, 1, 0, 3, 1, 0, 2, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 1, 2, 1, 3, 3, 4, 0, 0, 3, 1, 1, 2, 4, 4, 4, 1, 3, 2, 1, 0, 0, 4, 3, 2, 3, 2, 0, 2, 2, 3, 1, 3, 0, 3, 0, 0, 2, 2, 2, 1, 4, 0, 0, 2, 3, 1, 4, 2, 0, 3, 3, 2] pubkeycol1523 = [3, 1, 2, 4, 1, 0, 1, 1, 1, 2, 2, 3, 1, 3, 4, 3, 2, 2, 4, 3, 1, 4, 3, 3, 3, 1, 0, 4, 0, 3, 3, 4, 4, 4, 0, 1, 2, 3, 2, 3, 0, 2, 1, 2, 1, 1, 0, 0, 0, 4, 2, 0, 2, 3, 3, 3, 2, 3, 2, 0, 4, 2, 2, 4, 2, 0, 1, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 0, 4, 3, 2, 0, 2, 1, 0, 4, 2, 0, 3, 4, 1, 1, 0, 1, 4, 0, 3, 4, 0, 0, 2, 1, 1, 0, 2, 3, 4, 0, 3, 4, 4, 0, 2, 1, 2, 1, 4, 3, 4, 1, 4, 1, 0, 3, 3, 4, 3, 0, 3, 2, 2, 3, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 3, 2, 4, 0, 1, 4, 2, 1, 3, 2, 0, 4, 4, 2, 2, 0, 4, 0, 4, 3, 2, 1, 4, 2, 1, 0, 2, 1, 2, 4, 3, 3, 1, 0, 4, 2, 0, 3, 1, 0, 1, 3, 0, 4, 4, 2, 2, 3, 3, 0, 1, 2, 1, 3, 0, 1, 3, 2, 2, 3, 0, 0, 3, 2, 3, 1, 0, 0, 3, 0, 0, 1, 2, 0, 1, 3, 2, 4, 0, 3, 0, 4, 4, 0, 4, 4, 4, 3, 1, 4, 0, 3, 1, 2, 4, 3, 3, 4, 2, 2, 3, 1, 0, 2, 0, 2, 1, 0, 3, 1, 1, 3, 2, 4, 4, 0, 3, 1, 3, 4, 0, 3, 4, 0, 3, 4, 1, 4, 3, 3, 4, 2, 3, 4, 4, 2, 0, 0, 1, 1, 4, 0, 2, 2, 0, 3, 4, 2, 4, 1, 4, 3, 4, 4, 0, 0, 1, 4, 1, 2, 4, 0, 2, 1, 4, 1, 0, 1, 1, 3, 0, 0, 0, 1, 1, 3, 2, 4, 3, 3, 3, 1, 3, 0, 0, 0, 2, 2, 1, 4, 1, 1, 1, 3, 2, 4, 0, 3, 3, 3, 1, 4, 3, 0, 2, 0, 1, 0, 2, 2, 2, 4, 1, 1, 2, 3, 3, 4, 2, 4, 2, 1, 2, 3, 1, 3, 4, 4, 3, 2, 2, 2, 3, 3, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 3, 1, 0, 0, 4, 2, 3, 0, 3, 0, 3, 0] pubkeycol1524 = [1, 4, 1, 4, 3, 0, 0, 3, 2, 2, 4, 4, 4, 3, 2, 0, 3, 4, 4, 2, 1, 1, 3, 4, 2, 1, 4, 3, 1, 2, 3, 0, 2, 4, 0, 4, 2, 3, 3, 4, 0, 1, 3, 4, 4, 0, 4, 2, 2, 0, 3, 4, 2, 1, 4, 4, 1, 3, 0, 0, 1, 4, 4, 3, 2, 1, 1, 2, 1, 1, 1, 3, 3, 2, 1, 2, 2, 1, 1, 3, 0, 2, 3, 0, 4, 2, 0, 2, 0, 0, 3, 4, 1, 0, 1, 1, 4, 0, 3, 2, 1, 4, 4, 3, 2, 4, 1, 4, 1, 3, 0, 2, 4, 2, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 0, 2, 1, 4, 1, 3, 2, 4, 1, 2, 4, 2, 2, 2, 2, 2, 2, 2, 3, 1, 4, 3, 3, 0, 4, 2, 4, 1, 0, 3, 4, 1, 2, 3, 2, 1, 1, 0, 1, 4, 2, 2, 4, 1, 3, 1, 4, 3, 4, 1, 4, 1, 0, 4, 2, 3, 4, 4, 4, 3, 1, 2, 4, 2, 0, 3, 1, 4, 2, 0, 2, 3, 1, 0, 3, 4, 1, 1, 3, 2, 4, 1, 2, 3, 0, 3, 4, 1, 1, 1, 0, 3, 4, 2, 4, 4, 1, 3, 0, 1, 0, 1, 1, 4, 4, 3, 2, 0, 3, 3, 4, 4, 0, 0, 0, 3, 0, 2, 2, 4, 4, 3, 0, 1, 2, 2, 3, 1, 4, 3, 0, 3, 2, 4, 2, 0, 1, 1, 2, 1, 2, 3, 1, 3, 3, 4, 2, 3, 4, 4, 1, 0, 2, 1, 4, 0, 4, 2, 4, 3, 4, 2, 4, 2, 1, 1, 3, 4, 0, 2, 2, 3, 2, 4, 0, 1, 1, 3, 2, 1, 2, 0, 4, 3, 3, 1, 1, 2, 2, 2, 3, 1, 2, 0, 0, 4, 0, 4, 1, 3, 1, 0, 4, 3, 3, 3, 4, 4, 1, 1, 3, 0, 0, 0, 4, 0, 4, 1, 4, 4, 2, 2, 0, 4, 2, 4, 4, 3, 4, 2, 2, 1, 4, 1, 0, 4, 1, 1, 1, 3, 0, 4, 0, 4, 0, 3, 2, 1, 4, 4, 2, 4, 0, 2, 3, 3, 0, 1, 4, 0, 2, 1, 1, 1, 4, 0, 1, 2, 0, 3, 0, 1, 0, 2, 2, 1] pubkeycol1525 = [1, 1, 0, 1, 1, 2, 3, 4, 2, 2, 2, 1, 2, 3, 3, 3, 2, 4, 2, 3, 1, 3, 4, 3, 1, 3, 2, 2, 4, 4, 2, 0, 4, 4, 1, 3, 1, 2, 2, 1, 2, 0, 3, 2, 0, 0, 2, 3, 0, 1, 2, 0, 0, 1, 3, 4, 0, 3, 0, 3, 0, 3, 2, 3, 2, 4, 0, 2, 1, 0, 4, 1, 3, 2, 3, 1, 4, 0, 1, 4, 1, 3, 4, 0, 4, 0, 3, 4, 3, 0, 1, 0, 1, 4, 0, 4, 0, 0, 1, 1, 0, 2, 1, 2, 4, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 0, 4, 1, 4, 1, 2, 4, 2, 4, 1, 2, 2, 1, 1, 0, 1, 1, 4, 3, 4, 1, 2, 0, 3, 0, 3, 0, 1, 3, 2, 4, 0, 4, 2, 4, 3, 4, 1, 4, 0, 1, 4, 4, 3, 1, 1, 2, 4, 0, 1, 0, 0, 4, 3, 3, 1, 0, 0, 2, 2, 4, 2, 2, 2, 0, 4, 0, 3, 0, 0, 1, 3, 2, 1, 3, 1, 4, 3, 0, 2, 0, 0, 0, 4, 2, 2, 0, 3, 0, 2, 3, 4, 0, 1, 3, 0, 3, 0, 1, 3, 2, 1, 1, 0, 0, 0, 3, 3, 1, 2, 0, 1, 4, 2, 0, 3, 2, 4, 1, 3, 3, 3, 2, 0, 1, 4, 1, 2, 2, 4, 4, 4, 1, 1, 3, 3, 1, 0, 0, 3, 2, 4, 3, 2, 1, 0, 0, 1, 4, 0, 0, 0, 3, 3, 1, 2, 2, 2, 1, 1, 0, 4, 2, 2, 0, 1, 4, 1, 3, 1, 4, 1, 1, 0, 1, 4, 0, 2, 4, 4, 2, 2, 2, 2, 0, 3, 3, 2, 3, 1, 2, 1, 0, 4, 1, 2, 1, 4, 1, 3, 4, 2, 0, 4, 2, 3, 4, 0, 1, 2, 0, 1, 4, 0, 3, 4, 0, 3, 2, 3, 1, 3, 0, 3, 3, 0, 1, 4, 3, 2, 4, 1, 2, 1, 1, 1, 3, 4, 1, 4, 1, 4, 3, 4, 2, 2, 2, 1, 4, 0, 4, 0, 0, 0, 2, 0, 3, 1, 0, 1, 0, 3, 0, 3, 1, 1, 4, 3, 0, 3, 2, 0, 2, 3, 4, 3, 4, 1, 3, 1, 2, 1, 4] pubkeycol1526 = [2, 3, 0, 4, 2, 0, 2, 4, 3, 3, 1, 4, 2, 3, 3, 1, 4, 4, 1, 0, 3, 4, 4, 1, 4, 3, 0, 3, 3, 1, 0, 3, 4, 4, 1, 3, 2, 3, 1, 1, 4, 4, 2, 3, 2, 0, 4, 1, 2, 4, 3, 3, 2, 1, 1, 1, 4, 3, 0, 1, 3, 2, 2, 4, 3, 2, 0, 0, 0, 3, 1, 2, 0, 3, 3, 1, 3, 2, 1, 0, 1, 1, 0, 0, 4, 0, 1, 0, 4, 0, 4, 1, 0, 2, 3, 3, 3, 2, 1, 3, 1, 3, 0, 2, 1, 3, 3, 3, 4, 3, 4, 1, 4, 1, 3, 0, 4, 1, 2, 4, 1, 2, 0, 0, 4, 4, 4, 2, 2, 1, 4, 3, 4, 3, 3, 3, 0, 0, 3, 1, 2, 4, 4, 1, 0, 1, 2, 2, 2, 0, 4, 1, 1, 3, 2, 3, 2, 4, 3, 2, 3, 2, 0, 1, 2, 3, 0, 3, 3, 2, 4, 2, 1, 3, 0, 3, 1, 4, 2, 2, 1, 4, 0, 0, 0, 4, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 4, 0, 3, 3, 1, 4, 4, 2, 4, 1, 3, 3, 1, 0, 0, 2, 2, 4, 3, 0, 4, 2, 1, 4, 1, 0, 1, 1, 0, 2, 3, 1, 4, 3, 0, 2, 4, 0, 3, 0, 4, 1, 3, 3, 1, 3, 4, 2, 0, 3, 1, 2, 3, 1, 1, 1, 0, 4, 0, 0, 0, 0, 4, 0, 1, 0, 3, 2, 1, 0, 1, 0, 0, 1, 0, 0, 3, 0, 3, 4, 4, 0, 3, 0, 3, 4, 4, 1, 0, 4, 0, 4, 0, 0, 1, 3, 4, 0, 0, 0, 4, 1, 2, 4, 3, 2, 1, 3, 0, 1, 2, 2, 0, 1, 1, 4, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 3, 3, 2, 1, 1, 0, 4, 0, 3, 0, 4, 1, 3, 1, 2, 1, 4, 1, 1, 3, 3, 1, 4, 2, 0, 3, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 2, 3, 0, 0, 2, 0, 1, 0, 3, 3, 3, 4, 2, 1, 0, 0, 2, 0, 4, 4, 0, 2, 3, 4, 0, 4, 0, 0, 2, 0, 3, 4, 3, 2, 1, 3, 3, 1, 2, 1, 1] pubkeycol1527 = [3, 2, 2, 4, 1, 1, 0, 0, 2, 1, 0, 3, 0, 2, 0, 4, 3, 1, 2, 2, 4, 1, 1, 2, 2, 4, 2, 0, 0, 0, 0, 2, 1, 1, 4, 3, 2, 2, 1, 0, 3, 2, 2, 1, 1, 0, 4, 1, 0, 2, 3, 4, 4, 0, 2, 3, 2, 2, 4, 3, 2, 4, 1, 3, 0, 4, 3, 4, 3, 2, 2, 3, 1, 4, 3, 2, 2, 3, 0, 0, 4, 1, 2, 4, 4, 4, 0, 2, 3, 2, 0, 2, 1, 3, 4, 2, 3, 0, 2, 2, 2, 4, 4, 2, 2, 4, 3, 2, 2, 1, 4, 3, 2, 3, 2, 0, 3, 1, 0, 3, 4, 2, 3, 1, 0, 0, 0, 2, 4, 2, 3, 2, 3, 4, 4, 4, 1, 0, 2, 4, 4, 1, 3, 1, 3, 0, 3, 1, 4, 1, 4, 0, 2, 4, 1, 3, 3, 0, 2, 0, 3, 4, 4, 3, 4, 2, 1, 0, 0, 2, 4, 2, 0, 1, 2, 2, 1, 3, 4, 0, 4, 3, 0, 3, 4, 2, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 2, 4, 2, 4, 1, 3, 4, 0, 3, 0, 2, 1, 3, 0, 0, 4, 1, 3, 3, 2, 4, 0, 3, 3, 3, 3, 3, 1, 0, 4, 1, 2, 4, 2, 2, 2, 0, 4, 0, 2, 3, 3, 3, 4, 1, 1, 1, 1, 2, 1, 3, 4, 4, 0, 0, 2, 3, 3, 3, 3, 4, 3, 4, 0, 0, 1, 1, 1, 1, 2, 4, 1, 1, 1, 2, 0, 3, 2, 0, 3, 4, 1, 3, 0, 4, 3, 1, 0, 1, 1, 2, 3, 1, 1, 2, 3, 4, 4, 4, 0, 3, 4, 2, 3, 4, 4, 1, 3, 3, 0, 3, 4, 4, 1, 0, 1, 0, 2, 1, 4, 2, 1, 2, 2, 2, 1, 0, 0, 0, 3, 4, 2, 4, 4, 0, 0, 3, 3, 1, 1, 4, 4, 1, 0, 2, 0, 0, 4, 3, 1, 4, 4, 1, 0, 4, 4, 1, 4, 2, 0, 4, 4, 2, 0, 1, 4, 3, 0, 2, 4, 2, 1, 3, 4, 3, 2, 3, 0, 1, 1, 0, 4, 3, 1, 4, 1, 3, 1, 4, 0, 1, 0, 2, 2, 2, 0, 2, 2, 3, 1, 4, 0, 1, 2] pubkeycol1528 = [3, 0, 2, 2, 4, 3, 3, 1, 2, 2, 0, 2, 4, 0, 1, 0, 4, 0, 4, 3, 1, 2, 4, 2, 0, 4, 1, 4, 2, 3, 0, 1, 3, 0, 3, 1, 0, 3, 0, 3, 4, 0, 1, 3, 4, 3, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 4, 1, 4, 1, 3, 1, 1, 2, 3, 4, 1, 1, 1, 3, 0, 1, 3, 0, 3, 0, 2, 4, 2, 2, 1, 3, 4, 2, 1, 0, 1, 0, 2, 0, 2, 3, 1, 1, 0, 3, 0, 3, 1, 4, 0, 2, 4, 0, 2, 1, 2, 0, 1, 3, 0, 1, 2, 2, 0, 2, 1, 4, 3, 0, 2, 0, 3, 1, 4, 1, 2, 3, 2, 2, 4, 4, 4, 0, 2, 4, 0, 4, 3, 0, 4, 3, 2, 1, 0, 2, 2, 2, 3, 0, 1, 3, 4, 4, 3, 3, 3, 0, 0, 3, 4, 0, 4, 4, 1, 2, 3, 3, 0, 2, 4, 1, 3, 0, 1, 3, 4, 4, 2, 0, 1, 3, 2, 1, 2, 2, 3, 2, 0, 2, 4, 0, 0, 4, 0, 3, 0, 0, 3, 2, 3, 0, 4, 2, 2, 3, 2, 2, 0, 3, 0, 4, 4, 1, 1, 3, 2, 0, 1, 3, 4, 2, 3, 0, 4, 1, 4, 4, 2, 3, 3, 4, 1, 0, 1, 0, 1, 3, 3, 3, 2, 0, 3, 1, 4, 4, 0, 1, 2, 1, 1, 0, 2, 4, 3, 1, 0, 0, 1, 3, 2, 4, 3, 2, 1, 0, 4, 0, 4, 2, 3, 0, 0, 1, 2, 2, 4, 0, 0, 4, 3, 2, 3, 1, 1, 0, 0, 2, 4, 1, 0, 1, 0, 1, 3, 1, 4, 1, 0, 3, 0, 2, 0, 4, 3, 2, 1, 0, 0, 3, 2, 4, 3, 1, 1, 0, 0, 4, 1, 3, 4, 2, 0, 4, 1, 1, 2, 1, 2, 3, 4, 4, 0, 3, 4, 4, 4, 1, 4, 4, 2, 2, 4, 2, 1, 2, 3, 3, 4, 3, 3, 3, 4, 4, 0, 3, 0, 1, 0, 1, 4, 2, 1, 3, 2, 3, 2, 2, 4, 3, 0, 0, 2, 2, 1, 0, 2, 3, 3, 1, 2, 3, 1, 3, 2, 3, 1, 1] pubkeycol1529 = [1, 3, 3, 0, 1, 0, 2, 3, 4, 0, 0, 2, 2, 4, 4, 1, 4, 2, 4, 0, 4, 4, 4, 4, 0, 0, 1, 2, 1, 3, 4, 3, 1, 2, 2, 1, 2, 2, 3, 0, 3, 2, 0, 2, 0, 4, 2, 0, 0, 0, 0, 3, 4, 3, 3, 4, 1, 4, 3, 2, 2, 3, 2, 2, 4, 1, 4, 3, 1, 1, 0, 3, 2, 0, 1, 4, 1, 2, 2, 2, 4, 1, 4, 0, 2, 2, 4, 3, 4, 3, 4, 2, 4, 1, 4, 1, 3, 4, 3, 0, 2, 0, 0, 1, 3, 2, 4, 3, 0, 2, 2, 0, 3, 4, 1, 4, 4, 3, 3, 4, 3, 1, 0, 0, 1, 2, 1, 0, 3, 2, 2, 4, 0, 1, 3, 0, 4, 2, 3, 2, 2, 2, 0, 1, 2, 1, 2, 3, 1, 2, 2, 1, 2, 1, 1, 2, 0, 3, 0, 0, 3, 2, 0, 3, 3, 2, 1, 1, 1, 3, 2, 2, 2, 2, 4, 2, 1, 3, 2, 4, 0, 0, 1, 0, 1, 4, 2, 2, 2, 4, 3, 2, 1, 4, 1, 1, 1, 2, 1, 3, 3, 3, 0, 1, 2, 0, 2, 4, 1, 1, 3, 0, 2, 1, 3, 4, 2, 2, 0, 2, 4, 4, 2, 3, 2, 0, 1, 0, 2, 3, 3, 1, 4, 0, 1, 2, 3, 1, 0, 4, 4, 0, 3, 0, 0, 0, 2, 2, 2, 4, 3, 0, 4, 4, 2, 2, 2, 4, 4, 3, 2, 1, 4, 1, 1, 4, 4, 4, 0, 4, 4, 4, 0, 2, 2, 2, 2, 2, 3, 0, 2, 4, 2, 0, 2, 3, 3, 1, 0, 2, 1, 4, 1, 3, 1, 3, 3, 0, 1, 3, 4, 1, 1, 0, 0, 0, 4, 2, 0, 3, 0, 0, 2, 3, 4, 2, 2, 1, 4, 1, 4, 3, 0, 1, 2, 2, 4, 2, 0, 1, 1, 4, 1, 4, 0, 2, 1, 4, 3, 1, 3, 3, 2, 4, 0, 2, 0, 1, 1, 0, 0, 3, 2, 1, 3, 3, 2, 3, 0, 3, 3, 2, 4, 3, 4, 3, 2, 2, 3, 0, 2, 1, 4, 2, 1, 4, 0, 1, 1, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 1, 4, 2, 4, 4, 4, 3, 3, 0, 1, 1] pubkeycol1530 = [2, 0, 3, 4, 3, 3, 1, 0, 0, 3, 1, 1, 2, 3, 2, 3, 3, 0, 2, 0, 3, 1, 3, 3, 4, 0, 0, 1, 0, 3, 2, 4, 2, 0, 4, 4, 1, 0, 4, 2, 3, 0, 0, 0, 3, 4, 1, 0, 2, 3, 0, 0, 2, 3, 4, 4, 3, 2, 2, 0, 4, 0, 1, 2, 2, 2, 3, 2, 2, 4, 2, 0, 4, 2, 0, 1, 2, 2, 0, 4, 0, 3, 0, 4, 0, 3, 0, 0, 4, 0, 1, 3, 1, 1, 0, 4, 2, 2, 0, 3, 0, 3, 1, 0, 0, 1, 3, 1, 4, 0, 1, 3, 2, 2, 2, 2, 1, 0, 0, 1, 3, 0, 4, 1, 1, 0, 2, 4, 2, 0, 4, 4, 4, 2, 4, 4, 3, 4, 0, 4, 2, 1, 4, 1, 4, 3, 4, 4, 0, 3, 3, 2, 1, 1, 2, 2, 3, 2, 1, 2, 1, 0, 3, 2, 3, 3, 2, 0, 2, 4, 2, 3, 3, 3, 4, 3, 1, 4, 0, 2, 1, 3, 0, 2, 4, 1, 2, 0, 0, 0, 3, 0, 1, 1, 1, 1, 2, 1, 2, 2, 4, 1, 4, 2, 1, 0, 1, 0, 2, 4, 4, 4, 3, 3, 3, 0, 0, 2, 2, 3, 3, 0, 3, 0, 4, 3, 1, 3, 3, 0, 1, 4, 4, 2, 3, 2, 1, 2, 2, 1, 0, 0, 3, 2, 1, 1, 3, 3, 1, 3, 4, 1, 1, 1, 4, 3, 2, 1, 0, 1, 1, 2, 2, 1, 0, 3, 2, 4, 1, 3, 4, 0, 1, 1, 3, 0, 0, 0, 2, 1, 3, 3, 3, 0, 3, 0, 1, 1, 0, 1, 0, 2, 3, 4, 0, 1, 1, 2, 2, 0, 0, 3, 4, 3, 1, 0, 2, 1, 2, 4, 2, 0, 0, 4, 0, 2, 4, 3, 0, 0, 2, 3, 1, 3, 2, 1, 1, 2, 1, 4, 4, 3, 0, 2, 0, 0, 2, 1, 2, 3, 1, 4, 3, 2, 0, 4, 4, 2, 2, 2, 4, 4, 4, 4, 1, 0, 0, 4, 4, 2, 4, 4, 3, 0, 2, 1, 2, 3, 2, 4, 1, 4, 0, 3, 2, 4, 4, 2, 0, 2, 2, 2, 4, 2, 4, 3, 3, 2, 3, 2, 0, 3, 3, 2, 2, 1, 0, 4, 4, 1] pubkeycol1531 = [1, 3, 3, 4, 0, 4, 1, 3, 0, 0, 0, 1, 3, 4, 1, 2, 1, 2, 2, 4, 4, 3, 4, 0, 3, 0, 4, 4, 1, 3, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 3, 3, 1, 1, 0, 0, 4, 4, 1, 4, 1, 0, 3, 3, 1, 0, 0, 4, 2, 3, 2, 2, 0, 3, 3, 4, 3, 3, 0, 0, 4, 1, 3, 4, 4, 0, 4, 1, 1, 2, 3, 1, 0, 4, 3, 2, 2, 1, 1, 0, 0, 3, 3, 4, 3, 1, 0, 1, 3, 3, 2, 2, 4, 4, 0, 4, 4, 4, 1, 1, 3, 0, 1, 1, 0, 0, 2, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 2, 4, 2, 3, 1, 1, 3, 0, 2, 3, 4, 2, 1, 3, 2, 1, 3, 0, 0, 0, 0, 3, 4, 0, 4, 4, 0, 0, 0, 3, 2, 2, 4, 3, 2, 1, 4, 4, 1, 4, 3, 3, 3, 0, 3, 1, 2, 3, 4, 2, 1, 1, 0, 2, 4, 0, 2, 3, 3, 0, 1, 2, 3, 3, 3, 4, 0, 4, 2, 2, 2, 0, 3, 1, 0, 4, 1, 0, 0, 0, 4, 2, 3, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 4, 4, 4, 1, 3, 4, 1, 3, 3, 0, 4, 1, 2, 4, 4, 1, 0, 3, 2, 3, 2, 1, 4, 3, 1, 1, 0, 2, 4, 0, 1, 2, 2, 2, 3, 1, 3, 3, 2, 3, 2, 0, 2, 4, 1, 3, 0, 0, 1, 3, 0, 2, 1, 1, 0, 1, 2, 4, 0, 0, 4, 3, 3, 4, 0, 1, 4, 1, 4, 1, 3, 1, 1, 4, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 2, 0, 2, 1, 0, 3, 4, 1, 2, 2, 0, 3, 0, 3, 4, 0, 0, 4, 4, 3, 4, 1, 0, 0, 3, 3, 4, 4, 4, 0, 0, 1, 4, 0, 0, 0, 3, 0, 2, 4, 0, 2, 2, 4, 4, 2, 1, 4, 1, 2, 4, 0, 4, 3, 4, 0, 3, 4, 0, 4, 1, 2, 3, 3, 4, 0, 0, 2, 4, 0, 3, 2, 2, 4, 3, 3, 2, 2, 1, 0, 0, 1, 2, 4, 4, 3, 4, 3, 1, 2, 1, 3] pubkeycol1532 = [3, 3, 3, 0, 2, 1, 3, 1, 2, 4, 2, 1, 1, 2, 2, 1, 2, 3, 0, 3, 1, 0, 2, 4, 1, 0, 0, 0, 4, 0, 2, 3, 2, 2, 0, 1, 4, 0, 2, 0, 1, 0, 0, 1, 4, 3, 2, 2, 2, 4, 4, 4, 3, 4, 1, 1, 3, 0, 3, 0, 2, 3, 0, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 4, 0, 1, 1, 2, 4, 2, 4, 0, 2, 2, 3, 3, 4, 3, 3, 2, 4, 2, 0, 4, 1, 4, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 4, 4, 2, 2, 3, 1, 2, 4, 1, 2, 1, 3, 2, 4, 0, 1, 3, 0, 0, 2, 1, 1, 3, 1, 0, 2, 2, 4, 0, 4, 3, 2, 0, 4, 1, 4, 2, 2, 3, 0, 2, 4, 1, 3, 0, 4, 3, 4, 3, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 3, 2, 4, 2, 0, 1, 2, 2, 2, 1, 0, 2, 3, 3, 0, 3, 4, 3, 4, 3, 4, 1, 3, 3, 1, 3, 3, 0, 1, 0, 4, 1, 1, 1, 1, 2, 2, 4, 0, 2, 4, 1, 2, 2, 3, 4, 2, 1, 0, 4, 2, 3, 3, 0, 3, 1, 2, 0, 0, 2, 3, 1, 2, 4, 1, 3, 0, 0, 3, 0, 2, 1, 1, 0, 1, 2, 3, 1, 1, 1, 3, 3, 0, 0, 0, 4, 2, 2, 2, 3, 1, 1, 3, 3, 0, 3, 2, 3, 1, 3, 0, 3, 2, 4, 3, 0, 3, 0, 0, 2, 1, 1, 4, 4, 3, 3, 2, 0, 4, 3, 2, 1, 1, 0, 3, 1, 0, 0, 4, 1, 1, 1, 4, 2, 1, 0, 1, 1, 4, 3, 3, 3, 1, 4, 0, 0, 3, 4, 4, 4, 4, 1, 2, 1, 2, 0, 1, 4, 0, 3, 0, 4, 0, 1, 0, 1, 3, 1, 1, 0, 1, 0, 2, 3, 4, 1, 4, 3, 3, 3, 3, 3, 4, 0, 2, 2, 2, 1, 0, 1, 4, 1, 0, 3, 3, 0, 1, 1, 4, 1, 0, 4, 3, 3, 4, 3, 2, 2, 1, 1, 3, 0, 4, 4, 0, 3, 1, 2, 3, 2, 1, 1, 0, 2, 1, 2, 0, 2, 3, 0, 4, 3, 3] pubkeycol1533 = [4, 4, 1, 2, 2, 4, 2, 4, 0, 3, 3, 0, 1, 2, 0, 1, 3, 1, 3, 1, 1, 2, 3, 3, 1, 0, 2, 2, 2, 1, 3, 1, 1, 3, 0, 0, 0, 0, 1, 0, 4, 3, 4, 0, 1, 3, 4, 3, 1, 4, 0, 4, 3, 4, 1, 0, 2, 4, 1, 0, 4, 1, 1, 3, 4, 2, 3, 4, 3, 0, 3, 0, 3, 1, 1, 3, 0, 0, 0, 4, 2, 1, 1, 4, 4, 1, 1, 3, 3, 4, 0, 0, 1, 3, 3, 3, 1, 4, 1, 1, 2, 2, 0, 4, 4, 1, 4, 3, 3, 1, 2, 4, 3, 0, 0, 3, 1, 2, 4, 1, 3, 0, 1, 2, 0, 2, 4, 2, 1, 4, 0, 2, 3, 2, 2, 4, 0, 1, 0, 3, 2, 2, 4, 2, 4, 4, 1, 0, 1, 3, 1, 2, 3, 2, 3, 2, 0, 1, 2, 4, 2, 4, 1, 1, 4, 1, 2, 4, 3, 0, 3, 3, 2, 3, 0, 2, 3, 4, 2, 2, 0, 3, 4, 3, 0, 2, 0, 4, 1, 1, 3, 2, 3, 0, 4, 3, 2, 4, 1, 4, 3, 0, 1, 4, 3, 4, 0, 2, 2, 0, 3, 4, 4, 4, 2, 0, 0, 4, 3, 0, 2, 1, 1, 0, 1, 4, 0, 3, 4, 4, 0, 4, 1, 1, 1, 0, 4, 4, 0, 4, 2, 3, 1, 2, 0, 4, 3, 4, 2, 3, 3, 3, 1, 0, 0, 3, 0, 2, 4, 3, 1, 1, 0, 1, 0, 0, 4, 4, 1, 0, 3, 1, 0, 0, 3, 4, 4, 0, 3, 1, 0, 4, 2, 1, 2, 4, 0, 4, 0, 1, 4, 1, 2, 1, 2, 3, 2, 0, 3, 1, 0, 0, 2, 1, 3, 1, 2, 3, 0, 1, 2, 0, 1, 3, 1, 1, 3, 1, 4, 0, 3, 0, 0, 0, 1, 4, 1, 4, 3, 4, 2, 0, 0, 3, 4, 0, 1, 1, 4, 0, 4, 3, 4, 2, 3, 3, 1, 0, 1, 0, 2, 0, 0, 2, 3, 0, 1, 1, 3, 3, 3, 1, 1, 4, 1, 1, 1, 0, 3, 1, 1, 1, 3, 1, 2, 0, 2, 2, 0, 0, 4, 4, 2, 0, 3, 1, 2, 4, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol1534 = [0, 4, 1, 2, 2, 0, 3, 4, 3, 1, 3, 0, 2, 4, 0, 0, 1, 4, 0, 3, 4, 1, 0, 3, 0, 0, 1, 3, 4, 0, 1, 4, 0, 1, 1, 0, 2, 0, 1, 3, 3, 0, 3, 3, 4, 4, 0, 4, 4, 2, 2, 4, 0, 3, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 4, 2, 0, 3, 2, 3, 4, 0, 1, 4, 3, 3, 1, 4, 0, 4, 0, 1, 2, 0, 1, 1, 2, 4, 4, 3, 3, 2, 4, 2, 3, 2, 0, 1, 2, 4, 4, 1, 3, 2, 4, 3, 1, 0, 4, 1, 2, 4, 0, 4, 3, 2, 4, 3, 4, 1, 4, 2, 0, 1, 4, 4, 3, 1, 2, 1, 2, 3, 2, 4, 4, 3, 1, 4, 3, 3, 3, 0, 3, 4, 4, 1, 1, 2, 4, 3, 3, 4, 1, 1, 2, 3, 4, 3, 2, 0, 1, 0, 4, 1, 4, 2, 4, 4, 1, 4, 3, 4, 0, 4, 0, 0, 3, 2, 3, 4, 0, 0, 3, 2, 3, 2, 0, 3, 3, 4, 1, 1, 1, 2, 4, 1, 0, 3, 4, 4, 2, 4, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 4, 2, 0, 2, 1, 2, 4, 4, 4, 4, 3, 1, 3, 1, 4, 4, 3, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 3, 4, 4, 4, 0, 1, 4, 1, 4, 2, 1, 4, 0, 1, 4, 3, 1, 1, 3, 2, 3, 4, 0, 2, 0, 4, 1, 3, 2, 2, 4, 1, 0, 1, 3, 4, 0, 1, 3, 2, 1, 4, 4, 4, 3, 2, 0, 3, 4, 1, 2, 2, 3, 0, 1, 2, 3, 0, 2, 4, 2, 2, 1, 1, 0, 3, 2, 3, 1, 3, 0, 2, 0, 3, 2, 3, 4, 1, 1, 2, 3, 2, 4, 1, 2, 0, 3, 0, 3, 3, 4, 0, 2, 4, 4, 4, 1, 0, 2, 4, 2, 3, 4, 4, 4, 2, 4, 2, 3, 2, 1, 2, 1, 4, 2, 1, 0, 3, 2, 3, 0, 3, 1, 0, 4, 0, 3, 4, 2, 2, 1, 1, 2, 3, 4, 1, 2, 2, 4, 0, 2, 0, 3, 4, 2, 4, 0, 0, 3, 3, 4, 1, 1, 3] pubkeycol1535 = [4, 2, 2, 2, 0, 1, 4, 2, 1, 1, 1, 3, 4, 1, 4, 3, 1, 4, 0, 1, 4, 3, 1, 1, 2, 2, 4, 1, 1, 0, 3, 2, 1, 3, 4, 1, 1, 4, 3, 0, 1, 4, 4, 3, 0, 1, 3, 3, 4, 4, 4, 3, 4, 3, 0, 3, 4, 0, 4, 3, 3, 2, 1, 2, 3, 4, 3, 0, 4, 2, 4, 2, 2, 2, 0, 0, 2, 2, 3, 3, 2, 3, 4, 4, 1, 0, 1, 0, 3, 1, 3, 1, 3, 1, 2, 4, 1, 1, 4, 1, 2, 3, 3, 2, 1, 1, 0, 4, 3, 3, 2, 0, 3, 1, 1, 2, 4, 2, 4, 3, 4, 2, 1, 4, 4, 4, 2, 2, 4, 3, 0, 0, 0, 3, 0, 2, 0, 3, 3, 0, 1, 1, 1, 0, 2, 0, 0, 2, 3, 0, 1, 2, 4, 0, 2, 4, 2, 3, 3, 2, 4, 2, 2, 0, 2, 3, 3, 2, 0, 3, 0, 1, 0, 2, 0, 4, 2, 1, 4, 3, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 2, 3, 0, 1, 0, 4, 4, 1, 0, 4, 4, 1, 4, 1, 3, 3, 1, 0, 2, 0, 1, 3, 2, 2, 0, 1, 0, 3, 4, 3, 3, 2, 0, 1, 1, 2, 4, 1, 2, 4, 0, 2, 2, 3, 3, 2, 2, 1, 2, 1, 4, 2, 2, 2, 4, 0, 0, 4, 2, 0, 2, 1, 1, 4, 4, 4, 2, 4, 3, 0, 2, 2, 4, 1, 0, 1, 4, 1, 0, 0, 4, 1, 0, 2, 1, 2, 3, 0, 4, 4, 1, 0, 0, 3, 3, 2, 0, 1, 2, 4, 0, 1, 1, 0, 0, 2, 2, 3, 0, 1, 2, 4, 2, 1, 3, 3, 4, 2, 1, 3, 2, 1, 3, 3, 4, 2, 4, 4, 3, 2, 0, 0, 1, 4, 3, 2, 3, 1, 2, 3, 4, 1, 0, 1, 4, 2, 3, 1, 0, 2, 3, 2, 1, 3, 4, 3, 0, 3, 0, 4, 1, 2, 0, 3, 4, 3, 3, 1, 2, 3, 4, 4, 3, 3, 3, 2, 2, 1, 2, 0, 0, 1, 1, 4, 4, 4, 1, 4, 2, 2, 2, 2, 1, 1, 3, 1, 4, 0, 0, 4, 1, 1, 0, 2] pubkeycol1536 = [2, 3, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 3, 2, 2, 4, 3, 3, 1, 0, 0, 0, 2, 3, 0, 0, 4, 2, 2, 2, 4, 1, 0, 4, 4, 2, 2, 4, 2, 4, 0, 3, 3, 0, 0, 3, 1, 3, 3, 0, 3, 4, 4, 1, 1, 3, 2, 3, 4, 0, 2, 4, 3, 2, 3, 1, 4, 2, 0, 4, 3, 0, 4, 0, 2, 2, 4, 3, 4, 2, 2, 4, 3, 4, 4, 0, 2, 4, 3, 3, 1, 0, 0, 3, 0, 1, 4, 3, 2, 4, 2, 1, 3, 2, 4, 2, 2, 0, 0, 2, 0, 2, 0, 1, 3, 2, 3, 3, 0, 0, 2, 1, 2, 4, 3, 3, 1, 3, 1, 0, 0, 1, 1, 4, 2, 4, 2, 3, 4, 2, 3, 0, 3, 1, 1, 2, 1, 2, 3, 1, 3, 2, 2, 4, 4, 4, 1, 0, 3, 1, 4, 1, 4, 2, 2, 4, 2, 3, 2, 3, 3, 1, 1, 2, 2, 4, 4, 3, 1, 0, 1, 3, 3, 0, 0, 3, 2, 1, 0, 4, 3, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 3, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 4, 3, 4, 0, 4, 4, 0, 0, 2, 0, 2, 4, 2, 1, 2, 1, 0, 1, 4, 4, 3, 4, 0, 2, 3, 1, 3, 3, 1, 0, 2, 0, 0, 3, 4, 0, 3, 3, 4, 2, 0, 0, 3, 0, 2, 2, 0, 3, 0, 1, 4, 4, 4, 0, 4, 1, 0, 0, 2, 4, 2, 4, 2, 2, 0, 3, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 4, 3, 1, 2, 2, 0, 2, 3, 3, 1, 1, 4, 0, 4, 2, 4, 4, 4, 1, 1, 3, 3, 1, 4, 0, 4, 1, 2, 0, 4, 1, 4, 4, 1, 3, 2, 2, 2, 0, 3, 0, 1, 4, 2, 3, 1, 0, 0, 3, 3, 2, 0, 3, 0, 0, 1, 0, 0, 3, 1, 0, 2, 4, 4, 4, 1, 4, 0, 0, 4, 0, 3, 3, 0, 1, 0, 1, 0, 4, 2, 2, 2, 3, 2, 4, 1, 2, 0, 0, 0, 2, 0, 3, 1, 1, 3, 0, 4, 3, 0, 2, 1, 1, 3, 3, 1] pubkeycol1537 = [0, 2, 4, 4, 3, 2, 3, 4, 0, 2, 0, 0, 0, 0, 4, 4, 2, 1, 0, 0, 1, 4, 2, 4, 0, 2, 0, 3, 3, 4, 3, 3, 4, 2, 2, 2, 3, 1, 4, 0, 2, 1, 2, 0, 2, 3, 3, 4, 4, 1, 2, 3, 1, 2, 2, 1, 2, 2, 3, 4, 4, 3, 3, 1, 0, 0, 0, 4, 0, 1, 4, 4, 4, 4, 1, 1, 3, 2, 3, 4, 1, 3, 2, 1, 3, 3, 2, 1, 0, 3, 3, 3, 3, 2, 3, 1, 2, 0, 0, 3, 3, 3, 3, 3, 4, 2, 1, 1, 4, 0, 1, 0, 0, 4, 3, 2, 2, 4, 0, 3, 4, 3, 4, 4, 0, 4, 0, 0, 4, 1, 3, 1, 3, 3, 3, 2, 3, 1, 2, 1, 2, 3, 0, 4, 2, 4, 2, 0, 1, 0, 0, 2, 4, 4, 1, 4, 2, 4, 2, 2, 2, 4, 3, 0, 2, 3, 2, 0, 1, 3, 1, 4, 4, 1, 1, 1, 4, 4, 4, 3, 4, 4, 2, 0, 0, 3, 4, 2, 1, 4, 4, 0, 4, 2, 4, 1, 1, 0, 1, 3, 1, 4, 0, 0, 0, 3, 4, 0, 1, 2, 1, 1, 2, 3, 2, 2, 0, 0, 1, 2, 3, 3, 0, 0, 3, 2, 3, 0, 1, 0, 1, 4, 3, 4, 4, 2, 2, 2, 2, 1, 1, 2, 0, 4, 3, 0, 1, 1, 3, 3, 4, 1, 1, 0, 3, 0, 3, 2, 2, 0, 2, 3, 0, 4, 3, 1, 1, 3, 3, 0, 0, 3, 0, 1, 4, 3, 3, 0, 0, 1, 0, 3, 3, 1, 2, 0, 4, 1, 0, 4, 1, 0, 3, 3, 0, 4, 3, 4, 4, 2, 2, 3, 0, 2, 3, 2, 4, 3, 2, 3, 3, 1, 3, 3, 3, 4, 0, 2, 4, 0, 3, 1, 1, 1, 4, 0, 0, 4, 0, 0, 3, 2, 1, 4, 1, 4, 4, 0, 4, 3, 2, 1, 0, 3, 4, 0, 1, 1, 3, 0, 2, 2, 2, 2, 3, 4, 0, 1, 4, 3, 0, 4, 2, 2, 2, 0, 1, 0, 1, 1, 3, 0, 2, 3, 1, 1, 3, 2, 3, 1, 3, 1, 0, 4, 0, 0, 3, 2, 0, 4, 0, 3, 1, 4, 0, 0, 4, 2, 3, 2] pubkeycol1538 = [3, 2, 4, 3, 3, 2, 2, 2, 3, 4, 2, 1, 1, 3, 1, 2, 3, 3, 0, 4, 2, 1, 4, 0, 4, 3, 0, 2, 4, 2, 1, 0, 0, 4, 4, 1, 0, 0, 1, 0, 3, 1, 4, 0, 3, 4, 0, 4, 4, 3, 2, 0, 1, 1, 0, 1, 1, 1, 3, 1, 4, 1, 0, 3, 1, 3, 4, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 4, 2, 4, 1, 4, 0, 0, 2, 2, 4, 1, 0, 3, 1, 0, 0, 3, 2, 0, 2, 0, 3, 3, 3, 0, 2, 0, 3, 3, 1, 0, 1, 1, 3, 0, 0, 4, 4, 0, 3, 0, 3, 1, 4, 0, 4, 2, 4, 1, 4, 0, 2, 4, 3, 4, 3, 1, 0, 1, 3, 0, 1, 3, 2, 4, 0, 2, 4, 1, 2, 4, 1, 1, 0, 4, 0, 3, 1, 0, 3, 1, 4, 0, 2, 2, 1, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 1, 1, 3, 3, 3, 4, 1, 2, 4, 4, 2, 0, 0, 4, 4, 0, 0, 1, 0, 3, 4, 4, 1, 2, 3, 0, 1, 4, 1, 4, 1, 1, 1, 2, 1, 3, 0, 0, 0, 2, 4, 0, 3, 0, 1, 2, 4, 2, 1, 2, 3, 1, 1, 0, 0, 4, 4, 3, 1, 2, 0, 0, 1, 4, 1, 0, 4, 1, 1, 1, 2, 1, 2, 1, 3, 4, 4, 3, 0, 0, 0, 1, 4, 4, 2, 4, 2, 3, 0, 1, 4, 1, 3, 4, 2, 2, 1, 3, 4, 2, 1, 1, 4, 4, 1, 4, 3, 1, 2, 2, 1, 4, 0, 2, 3, 2, 0, 3, 2, 2, 4, 3, 3, 4, 3, 3, 0, 2, 1, 1, 0, 4, 3, 1, 3, 4, 0, 3, 0, 2, 3, 4, 3, 2, 0, 1, 3, 1, 0, 4, 2, 0, 4, 4, 3, 1, 0, 1, 3, 2, 4, 0, 3, 0, 4, 3, 0, 1, 0, 1, 3, 3, 0, 3, 0, 2, 0, 1, 0, 1, 1, 4, 3, 0, 3, 2, 0, 0, 2, 4, 4, 3, 0, 0, 0, 3, 0, 2, 3, 2, 2, 2, 4, 0, 0, 3, 2, 3, 1, 2, 2, 1, 4, 2, 4, 3, 4, 4, 2, 2, 4, 4, 0, 4, 1, 2, 0] pubkeycol1539 = [1, 4, 1, 3, 2, 1, 0, 4, 2, 4, 1, 1, 4, 1, 4, 1, 4, 2, 1, 3, 1, 3, 2, 0, 4, 3, 0, 1, 2, 1, 2, 3, 0, 2, 4, 0, 3, 1, 1, 1, 2, 1, 4, 2, 4, 1, 1, 3, 2, 4, 0, 4, 0, 0, 0, 0, 1, 3, 4, 4, 1, 1, 3, 1, 0, 4, 3, 4, 4, 0, 2, 1, 3, 2, 3, 2, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 1, 3, 0, 2, 3, 0, 2, 1, 3, 4, 3, 0, 3, 4, 3, 0, 1, 3, 2, 0, 4, 1, 0, 4, 3, 4, 4, 3, 2, 4, 2, 4, 3, 3, 3, 0, 3, 0, 4, 0, 2, 3, 3, 0, 0, 1, 3, 2, 0, 4, 0, 4, 4, 4, 0, 2, 0, 3, 0, 2, 0, 4, 2, 1, 2, 1, 1, 2, 4, 0, 1, 4, 2, 1, 0, 4, 0, 2, 2, 2, 1, 1, 4, 0, 3, 4, 1, 0, 1, 0, 1, 1, 3, 3, 0, 4, 0, 4, 0, 3, 2, 2, 0, 2, 2, 0, 1, 0, 1, 4, 3, 3, 2, 2, 1, 2, 0, 4, 3, 2, 1, 3, 0, 1, 1, 3, 4, 0, 1, 0, 1, 3, 0, 4, 2, 1, 0, 1, 1, 1, 1, 4, 3, 4, 0, 3, 3, 2, 3, 0, 3, 0, 2, 1, 0, 2, 4, 4, 2, 0, 2, 1, 1, 1, 3, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 4, 3, 0, 4, 1, 0, 2, 1, 2, 3, 3, 3, 0, 2, 1, 2, 4, 0, 0, 4, 0, 4, 4, 0, 2, 2, 2, 4, 0, 0, 2, 3, 0, 3, 1, 1, 2, 0, 3, 1, 0, 3, 2, 4, 2, 3, 0, 0, 4, 2, 1, 3, 3, 1, 3, 4, 2, 2, 1, 1, 2, 2, 1, 4, 2, 2, 4, 0, 1, 3, 0, 4, 2, 3, 4, 3, 1, 2, 3, 3, 0, 3, 3, 3, 0, 2, 4, 4, 2, 0, 4, 0, 3, 3, 0, 2, 0, 3, 3, 2, 0, 2, 0, 4, 1, 3, 2, 1, 2, 4, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 0, 4, 4, 0, 1, 2, 2, 3, 3, 4, 4, 2, 4, 4, 3, 0] pubkeycol1540 = [2, 3, 0, 2, 0, 4, 3, 0, 3, 4, 0, 3, 1, 3, 2, 4, 2, 4, 0, 1, 3, 2, 2, 4, 4, 0, 1, 4, 2, 2, 1, 0, 1, 0, 2, 0, 0, 3, 2, 3, 3, 1, 1, 3, 1, 0, 2, 3, 4, 2, 4, 2, 0, 3, 4, 1, 1, 3, 3, 1, 1, 0, 2, 4, 0, 1, 1, 1, 3, 3, 2, 3, 2, 1, 4, 0, 2, 3, 3, 0, 2, 2, 1, 3, 3, 4, 2, 4, 3, 4, 0, 4, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 3, 2, 4, 0, 3, 3, 1, 3, 4, 4, 2, 4, 2, 0, 1, 4, 0, 2, 3, 1, 3, 0, 0, 4, 2, 3, 2, 1, 1, 0, 4, 4, 4, 0, 3, 3, 0, 2, 3, 4, 0, 2, 4, 2, 4, 3, 0, 0, 0, 2, 2, 3, 4, 2, 0, 2, 1, 4, 0, 1, 0, 1, 4, 0, 2, 3, 3, 4, 1, 2, 4, 0, 0, 2, 2, 0, 3, 4, 2, 3, 2, 2, 4, 0, 4, 2, 2, 1, 3, 4, 2, 4, 1, 2, 0, 3, 2, 2, 4, 0, 4, 1, 0, 0, 4, 2, 3, 3, 2, 2, 2, 2, 2, 3, 0, 2, 2, 1, 0, 1, 2, 0, 1, 3, 4, 2, 3, 0, 1, 0, 4, 2, 1, 0, 2, 0, 4, 2, 0, 2, 1, 4, 4, 0, 1, 0, 4, 4, 2, 3, 4, 1, 2, 2, 3, 0, 0, 2, 4, 0, 1, 1, 1, 0, 2, 2, 4, 0, 3, 4, 2, 2, 4, 0, 3, 1, 4, 0, 0, 3, 2, 4, 3, 0, 3, 4, 0, 0, 4, 0, 0, 2, 0, 0, 4, 1, 2, 0, 0, 2, 3, 4, 3, 1, 4, 4, 2, 3, 1, 3, 2, 1, 3, 0, 0, 2, 1, 1, 4, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 3, 1, 0, 0, 4, 3, 2, 1, 3, 0, 3, 0, 2, 0, 2, 0, 4, 4, 4, 1, 2, 4, 2, 1, 4, 3, 3, 2, 1, 0, 2, 3, 2, 4, 3, 3, 1, 4, 2, 2, 4, 3, 4, 1, 0, 2, 4, 1, 1, 3, 2, 4, 3, 2, 1, 4, 4, 0, 2, 3, 2, 0, 2, 4, 2, 0, 2, 0, 2] pubkeycol1541 = [3, 0, 2, 2, 1, 2, 0, 2, 2, 4, 3, 0, 1, 0, 2, 2, 0, 0, 3, 3, 3, 1, 4, 1, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 1, 4, 3, 3, 1, 3, 3, 2, 0, 1, 2, 1, 2, 4, 2, 1, 4, 2, 3, 0, 4, 0, 2, 4, 3, 4, 0, 2, 1, 1, 0, 1, 2, 3, 3, 1, 4, 4, 0, 0, 2, 0, 4, 2, 4, 2, 1, 3, 2, 2, 3, 2, 3, 4, 3, 3, 0, 0, 4, 3, 2, 1, 1, 0, 2, 2, 0, 2, 2, 3, 3, 0, 1, 0, 0, 2, 4, 0, 0, 4, 2, 1, 4, 0, 1, 4, 2, 3, 3, 2, 3, 3, 1, 1, 4, 1, 1, 4, 2, 4, 1, 3, 2, 3, 0, 1, 1, 0, 2, 4, 3, 2, 0, 4, 3, 3, 4, 4, 2, 2, 4, 0, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 0, 1, 0, 2, 2, 2, 1, 3, 1, 3, 0, 4, 3, 3, 2, 3, 3, 4, 0, 2, 3, 2, 2, 4, 0, 4, 4, 1, 3, 0, 4, 1, 3, 2, 2, 0, 0, 3, 3, 3, 3, 4, 2, 0, 3, 2, 3, 4, 2, 0, 1, 3, 3, 1, 3, 4, 0, 0, 0, 0, 2, 0, 2, 4, 2, 1, 0, 2, 4, 4, 4, 0, 0, 1, 2, 0, 1, 3, 3, 0, 0, 3, 2, 0, 4, 4, 2, 1, 2, 3, 2, 3, 4, 0, 1, 2, 1, 3, 1, 2, 0, 2, 1, 2, 4, 3, 2, 2, 4, 0, 3, 4, 3, 0, 2, 3, 0, 3, 0, 0, 1, 2, 1, 4, 4, 4, 2, 1, 1, 2, 0, 2, 0, 4, 1, 3, 3, 1, 2, 1, 3, 1, 2, 4, 3, 1, 1, 1, 2, 2, 4, 3, 1, 3, 1, 0, 0, 2, 2, 1, 3, 2, 3, 3, 3, 1, 4, 3, 4, 0, 3, 0, 3, 2, 2, 2, 1, 2, 2, 0, 3, 1, 1, 4, 3, 0, 1, 0, 3, 3, 3, 3, 3, 2, 4, 3, 0, 2, 3, 3, 3, 1, 4, 2, 2, 2, 3, 1, 0, 4, 0, 0, 1, 2, 2, 4, 0, 0, 4, 1, 3, 4, 4, 3, 3, 2, 4, 0, 3, 1, 3, 3, 2, 0] pubkeycol1542 = [2, 0, 2, 3, 3, 0, 4, 2, 0, 1, 1, 1, 0, 3, 4, 1, 3, 4, 0, 2, 0, 3, 1, 2, 3, 2, 2, 4, 3, 0, 3, 1, 1, 3, 4, 1, 3, 2, 2, 0, 1, 4, 1, 1, 2, 2, 3, 0, 4, 4, 0, 0, 1, 3, 2, 4, 3, 2, 4, 4, 0, 1, 3, 4, 0, 1, 1, 0, 3, 2, 4, 4, 0, 2, 3, 0, 4, 2, 2, 3, 4, 0, 0, 0, 3, 1, 4, 4, 4, 3, 1, 0, 1, 3, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 0, 3, 2, 2, 4, 1, 1, 3, 4, 0, 0, 1, 2, 4, 2, 1, 2, 4, 4, 1, 2, 4, 1, 3, 3, 2, 4, 1, 3, 3, 3, 0, 0, 0, 1, 1, 1, 3, 3, 2, 4, 0, 2, 4, 4, 1, 4, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0, 3, 4, 2, 2, 1, 3, 3, 1, 1, 1, 0, 2, 3, 1, 2, 2, 2, 2, 4, 1, 3, 4, 1, 4, 3, 4, 3, 1, 1, 1, 2, 0, 2, 3, 0, 2, 4, 2, 1, 2, 0, 2, 4, 2, 1, 4, 3, 4, 2, 0, 0, 1, 0, 4, 0, 2, 4, 2, 1, 4, 1, 3, 1, 3, 3, 1, 0, 2, 1, 0, 4, 4, 1, 1, 0, 1, 2, 4, 3, 0, 1, 4, 4, 4, 0, 3, 3, 1, 1, 0, 3, 3, 0, 4, 2, 3, 2, 3, 1, 0, 2, 3, 2, 4, 1, 3, 3, 1, 0, 2, 0, 2, 0, 3, 1, 4, 4, 0, 0, 4, 1, 4, 2, 3, 4, 3, 4, 0, 2, 2, 2, 4, 1, 2, 4, 0, 4, 1, 2, 3, 2, 2, 1, 1, 1, 3, 4, 4, 1, 4, 3, 1, 0, 3, 0, 2, 4, 1, 0, 4, 0, 1, 1, 1, 2, 3, 4, 1, 2, 4, 0, 4, 1, 4, 1, 2, 3, 2, 1, 1, 1, 4, 4, 2, 4, 4, 2, 2, 1, 3, 4, 1, 4, 0, 0, 2, 4, 4, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 3, 3, 4, 1, 0, 0, 3, 3, 4, 2, 4, 4, 0, 0, 4, 2, 3, 1, 1, 4, 3, 4, 4, 2, 0, 4] pubkeycol1543 = [2, 2, 2, 0, 4, 4, 3, 1, 2, 3, 2, 3, 3, 3, 3, 0, 3, 1, 3, 0, 4, 2, 3, 1, 1, 0, 1, 3, 0, 1, 4, 0, 2, 3, 4, 3, 4, 1, 0, 4, 1, 2, 3, 0, 1, 3, 2, 3, 3, 0, 1, 3, 2, 4, 3, 3, 0, 2, 1, 2, 3, 4, 3, 4, 4, 0, 2, 0, 1, 1, 4, 1, 0, 3, 1, 4, 3, 0, 1, 1, 3, 1, 0, 2, 0, 0, 1, 2, 2, 2, 4, 3, 1, 0, 2, 3, 3, 3, 0, 0, 2, 3, 0, 1, 1, 0, 0, 2, 3, 4, 1, 3, 2, 3, 4, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 4, 4, 3, 2, 0, 4, 1, 0, 2, 3, 1, 3, 0, 0, 2, 3, 2, 2, 0, 4, 3, 2, 0, 3, 2, 1, 4, 4, 1, 3, 4, 3, 1, 1, 1, 4, 1, 3, 0, 0, 1, 4, 2, 2, 3, 1, 0, 3, 4, 1, 1, 3, 1, 3, 0, 4, 2, 4, 4, 0, 3, 3, 2, 3, 1, 1, 0, 4, 1, 1, 1, 0, 0, 0, 1, 3, 0, 0, 2, 3, 0, 4, 3, 2, 1, 4, 2, 4, 3, 1, 2, 1, 3, 1, 1, 4, 3, 2, 2, 0, 3, 0, 4, 1, 3, 2, 3, 1, 4, 2, 3, 3, 4, 0, 0, 2, 2, 0, 4, 2, 0, 0, 2, 0, 1, 4, 3, 4, 3, 2, 2, 3, 1, 4, 4, 1, 2, 3, 0, 0, 4, 0, 1, 1, 1, 0, 2, 3, 2, 2, 0, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 0, 4, 0, 0, 4, 3, 3, 3, 4, 0, 1, 4, 0, 3, 0, 0, 3, 2, 2, 1, 3, 2, 2, 0, 2, 1, 3, 1, 2, 3, 4, 4, 3, 4, 0, 4, 1, 3, 0, 0, 4, 0, 3, 1, 0, 4, 2, 2, 4, 1, 2, 2, 0, 4, 2, 0, 4, 0, 2, 0, 2, 3, 0, 0, 2, 4, 1, 2, 4, 0, 4, 0, 3, 0, 1, 0, 1, 0, 0, 1, 3, 2, 1, 0, 2, 3, 0, 4, 1, 0, 1, 1, 3, 0, 2, 3, 0, 4, 1, 3, 2, 3, 2, 0, 1, 2, 0, 1, 1, 3, 0] pubkeycol1544 = [2, 4, 2, 4, 3, 0, 3, 0, 4, 1, 2, 2, 2, 0, 1, 3, 2, 0, 0, 0, 3, 1, 3, 4, 1, 0, 4, 2, 2, 3, 0, 3, 0, 2, 0, 2, 4, 1, 0, 2, 4, 3, 2, 0, 0, 4, 1, 4, 0, 2, 1, 2, 4, 0, 3, 0, 4, 4, 4, 0, 2, 3, 2, 3, 4, 3, 0, 2, 2, 2, 0, 3, 2, 3, 3, 2, 0, 1, 1, 0, 2, 0, 4, 4, 0, 0, 2, 1, 1, 4, 4, 3, 3, 4, 1, 0, 1, 0, 2, 0, 1, 3, 0, 1, 0, 1, 0, 2, 0, 0, 4, 2, 0, 0, 0, 1, 3, 2, 2, 4, 4, 3, 0, 3, 0, 0, 2, 2, 3, 0, 4, 1, 1, 4, 0, 2, 0, 2, 3, 0, 3, 3, 3, 1, 2, 4, 0, 2, 0, 3, 1, 3, 3, 4, 2, 1, 1, 2, 4, 2, 2, 0, 3, 3, 1, 2, 3, 1, 4, 4, 2, 2, 1, 2, 4, 4, 0, 2, 2, 3, 3, 0, 0, 0, 1, 0, 0, 3, 3, 2, 2, 1, 1, 3, 3, 2, 1, 2, 3, 4, 3, 4, 4, 2, 3, 3, 1, 4, 0, 4, 2, 1, 0, 3, 0, 4, 2, 4, 4, 1, 1, 0, 0, 1, 0, 1, 1, 4, 2, 4, 0, 4, 2, 1, 3, 2, 4, 0, 2, 0, 4, 2, 4, 1, 1, 3, 4, 2, 4, 0, 3, 4, 2, 0, 4, 1, 4, 0, 1, 0, 1, 2, 2, 3, 3, 0, 2, 3, 0, 1, 1, 4, 0, 1, 3, 3, 0, 2, 3, 2, 0, 0, 2, 0, 2, 4, 2, 3, 3, 2, 3, 1, 4, 4, 0, 2, 0, 4, 2, 3, 4, 0, 2, 0, 1, 0, 2, 0, 3, 0, 0, 0, 2, 0, 2, 4, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 4, 2, 0, 0, 0, 2, 2, 1, 3, 1, 1, 0, 4, 2, 1, 0, 0, 4, 2, 1, 0, 4, 3, 4, 3, 0, 2, 0, 0, 4, 4, 3, 0, 1, 0, 2, 4, 2, 3, 4, 4, 1, 4, 2, 4, 1, 4, 2, 1, 3, 2, 0, 1, 2, 0, 2, 0, 2, 3, 2, 0, 2, 4, 2, 4, 0, 2, 0, 0, 2, 3, 0, 0] pubkeycol1545 = [3, 1, 2, 0, 4, 3, 0, 4, 0, 1, 4, 1, 1, 1, 4, 2, 0, 3, 2, 1, 0, 0, 4, 2, 0, 1, 1, 0, 3, 0, 1, 1, 2, 0, 4, 3, 1, 2, 0, 1, 0, 1, 2, 3, 0, 4, 2, 3, 1, 1, 1, 4, 3, 2, 1, 2, 0, 4, 3, 3, 0, 0, 3, 4, 4, 2, 0, 2, 1, 2, 1, 4, 3, 2, 0, 2, 2, 3, 0, 3, 1, 0, 1, 2, 3, 0, 0, 0, 1, 0, 3, 2, 0, 1, 3, 0, 0, 4, 2, 2, 0, 0, 2, 3, 0, 0, 1, 4, 3, 3, 1, 4, 2, 0, 4, 2, 2, 2, 0, 3, 4, 4, 1, 0, 1, 3, 1, 3, 2, 0, 2, 3, 1, 0, 1, 1, 4, 3, 0, 0, 2, 3, 0, 1, 4, 1, 0, 3, 0, 4, 1, 4, 3, 2, 2, 2, 3, 2, 1, 2, 0, 4, 2, 2, 2, 2, 2, 3, 2, 4, 1, 1, 4, 1, 0, 3, 2, 1, 3, 2, 2, 0, 0, 1, 1, 3, 1, 1, 1, 2, 4, 1, 4, 3, 0, 4, 2, 3, 0, 2, 4, 4, 0, 2, 1, 1, 2, 4, 3, 0, 2, 3, 0, 0, 1, 4, 1, 0, 2, 1, 4, 2, 3, 0, 0, 3, 0, 2, 1, 2, 2, 3, 3, 2, 4, 3, 1, 1, 3, 4, 0, 2, 2, 1, 4, 3, 2, 3, 0, 3, 1, 2, 1, 1, 0, 4, 3, 2, 2, 3, 1, 4, 0, 3, 2, 3, 4, 4, 1, 0, 0, 3, 3, 2, 4, 2, 3, 4, 2, 1, 0, 1, 2, 1, 2, 4, 1, 2, 4, 3, 1, 3, 1, 4, 1, 0, 1, 0, 2, 2, 4, 4, 2, 1, 4, 0, 4, 4, 3, 2, 3, 1, 1, 1, 2, 1, 4, 0, 4, 0, 4, 4, 1, 2, 0, 4, 1, 0, 0, 4, 4, 0, 2, 2, 1, 0, 4, 4, 3, 0, 4, 3, 2, 0, 1, 3, 2, 3, 4, 3, 2, 4, 3, 4, 3, 3, 4, 4, 0, 1, 0, 0, 3, 0, 4, 0, 3, 3, 3, 3, 2, 2, 0, 2, 1, 3, 1, 2, 0, 1, 4, 4, 0, 3, 3, 4, 0, 0, 3, 0, 3, 4, 2, 4, 4, 3, 1, 0, 0, 3] pubkeycol1546 = [3, 2, 3, 1, 3, 2, 2, 2, 0, 1, 4, 3, 3, 0, 2, 4, 3, 3, 2, 4, 4, 0, 2, 0, 4, 4, 0, 4, 1, 2, 0, 1, 1, 0, 4, 4, 4, 2, 3, 3, 3, 2, 3, 3, 2, 2, 1, 3, 1, 0, 2, 4, 0, 2, 4, 1, 0, 1, 0, 3, 4, 0, 0, 4, 4, 3, 1, 2, 4, 4, 0, 1, 3, 1, 2, 3, 4, 2, 0, 4, 4, 0, 1, 3, 2, 3, 1, 2, 1, 3, 4, 2, 2, 2, 3, 0, 4, 1, 0, 1, 2, 2, 3, 2, 4, 4, 2, 1, 3, 2, 1, 3, 4, 3, 0, 1, 1, 4, 2, 3, 2, 1, 2, 2, 4, 4, 2, 4, 3, 0, 1, 2, 2, 3, 0, 4, 0, 0, 0, 3, 2, 4, 4, 2, 4, 4, 1, 0, 4, 1, 1, 4, 0, 4, 1, 2, 1, 1, 3, 0, 1, 1, 1, 0, 3, 3, 0, 4, 0, 4, 4, 1, 3, 2, 1, 0, 2, 3, 0, 2, 1, 3, 1, 0, 2, 2, 4, 2, 1, 2, 0, 4, 0, 0, 2, 4, 3, 3, 0, 0, 2, 0, 2, 2, 1, 4, 1, 2, 1, 1, 2, 4, 4, 3, 4, 3, 2, 1, 3, 0, 1, 2, 3, 3, 0, 1, 1, 4, 4, 4, 2, 0, 4, 2, 0, 0, 2, 3, 0, 2, 4, 3, 1, 2, 2, 0, 0, 3, 3, 0, 4, 4, 1, 0, 2, 0, 2, 4, 4, 2, 4, 1, 3, 3, 1, 0, 3, 2, 3, 2, 0, 1, 3, 2, 0, 4, 0, 2, 4, 3, 1, 1, 2, 3, 0, 3, 2, 4, 4, 2, 2, 4, 4, 4, 3, 0, 4, 2, 3, 4, 4, 2, 0, 0, 3, 0, 1, 0, 4, 2, 3, 4, 4, 3, 0, 0, 4, 0, 3, 1, 2, 1, 2, 1, 1, 0, 2, 3, 1, 4, 2, 2, 0, 3, 2, 0, 0, 1, 3, 1, 1, 3, 1, 2, 2, 0, 4, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 4, 2, 3, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 3, 2, 3, 2, 3, 3, 1, 4, 3, 3, 4, 2, 1, 1, 2, 4, 0, 4, 2, 1, 2, 1, 0, 3, 3, 1] pubkeycol1547 = [4, 4, 0, 2, 3, 0, 4, 4, 0, 2, 0, 0, 2, 3, 2, 2, 0, 4, 2, 3, 2, 1, 4, 2, 2, 0, 0, 3, 4, 0, 2, 1, 2, 2, 4, 2, 0, 4, 4, 0, 0, 3, 0, 0, 1, 2, 4, 1, 4, 1, 4, 3, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 3, 1, 1, 0, 4, 1, 0, 3, 0, 1, 3, 4, 4, 0, 1, 0, 4, 3, 3, 3, 0, 4, 1, 4, 0, 4, 1, 1, 4, 0, 2, 1, 0, 3, 1, 0, 0, 4, 4, 3, 3, 2, 3, 4, 4, 4, 1, 0, 0, 3, 2, 0, 2, 3, 4, 4, 1, 1, 4, 1, 1, 0, 4, 4, 3, 0, 2, 1, 3, 2, 1, 2, 1, 2, 0, 3, 1, 0, 2, 0, 0, 0, 0, 0, 4, 0, 1, 0, 3, 1, 4, 0, 2, 2, 4, 3, 0, 3, 4, 1, 4, 0, 1, 0, 2, 1, 4, 0, 0, 3, 0, 4, 0, 4, 3, 2, 4, 0, 4, 1, 4, 0, 3, 0, 2, 0, 3, 2, 3, 4, 2, 1, 0, 4, 2, 3, 1, 4, 0, 4, 0, 2, 2, 1, 4, 2, 2, 0, 4, 3, 2, 4, 4, 3, 1, 3, 4, 3, 1, 1, 3, 1, 2, 0, 2, 4, 2, 1, 1, 1, 3, 0, 1, 2, 4, 2, 0, 4, 3, 3, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 3, 0, 0, 0, 1, 0, 3, 1, 4, 2, 0, 0, 0, 3, 4, 0, 3, 4, 1, 4, 0, 1, 4, 2, 2, 3, 3, 2, 4, 0, 3, 2, 3, 3, 2, 0, 0, 0, 0, 1, 4, 4, 2, 4, 2, 4, 1, 1, 2, 3, 2, 2, 2, 0, 1, 4, 1, 2, 2, 1, 0, 1, 3, 4, 3, 4, 1, 1, 0, 3, 1, 4, 1, 0, 0, 0, 0, 0, 4, 4, 4, 2, 3, 1, 4, 2, 0, 2, 2, 4, 4, 3, 2, 2, 0, 2, 0, 0, 0, 2, 3, 1, 3, 2, 3, 2, 2, 1, 0, 1, 0, 2, 0, 0, 4, 1, 3, 0, 1, 3, 2, 0, 3, 4, 1, 0, 4, 4, 4, 1, 4, 0, 2, 0, 0, 3, 4, 2, 4, 3, 0, 4, 2, 1] pubkeycol1548 = [3, 4, 0, 2, 3, 4, 0, 1, 1, 0, 4, 1, 3, 0, 3, 3, 0, 4, 2, 1, 3, 0, 4, 4, 0, 0, 0, 2, 4, 4, 2, 3, 4, 1, 0, 0, 3, 2, 2, 2, 2, 4, 3, 1, 0, 3, 3, 1, 3, 1, 4, 4, 3, 0, 3, 1, 4, 4, 1, 3, 0, 4, 3, 2, 3, 3, 1, 0, 2, 0, 2, 2, 1, 3, 1, 0, 2, 4, 2, 4, 0, 0, 2, 1, 4, 1, 4, 1, 3, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 2, 1, 2, 1, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 4, 4, 2, 4, 4, 2, 3, 4, 4, 3, 1, 4, 2, 1, 1, 3, 2, 4, 3, 2, 2, 2, 1, 4, 3, 1, 3, 0, 1, 1, 0, 3, 0, 1, 4, 4, 1, 1, 2, 3, 0, 4, 4, 4, 2, 2, 3, 3, 3, 0, 2, 0, 0, 1, 0, 4, 0, 2, 1, 2, 0, 2, 2, 3, 2, 1, 0, 0, 2, 4, 3, 2, 4, 3, 3, 3, 4, 0, 4, 2, 3, 0, 0, 2, 1, 1, 4, 1, 2, 3, 0, 3, 2, 1, 2, 0, 3, 1, 2, 1, 4, 0, 1, 4, 0, 0, 2, 0, 0, 0, 4, 3, 2, 4, 2, 0, 0, 3, 4, 2, 4, 3, 1, 3, 2, 2, 1, 1, 0, 2, 1, 2, 0, 4, 4, 3, 4, 3, 4, 1, 0, 1, 1, 1, 3, 1, 0, 1, 2, 3, 1, 0, 1, 3, 1, 2, 0, 3, 0, 1, 0, 2, 1, 2, 0, 3, 0, 0, 1, 2, 0, 4, 3, 4, 3, 1, 0, 2, 4, 1, 1, 0, 0, 3, 0, 3, 3, 4, 4, 0, 4, 4, 3, 3, 0, 0, 3, 2, 4, 1, 3, 0, 1, 1, 3, 2, 0, 3, 4, 1, 4, 4, 0, 0, 4, 4, 2, 0, 0, 3, 1, 3, 4, 0, 3, 0, 4, 2, 0, 2, 3, 1, 3, 3, 1, 1, 0, 1, 0, 0, 3, 4, 0, 2, 3, 3, 3, 0, 0, 2, 4, 0, 1, 2, 0, 3, 1, 2, 1, 4, 1, 0, 2, 1, 3, 0, 2, 0, 3, 1, 4, 4, 2, 2, 4, 3, 2, 0, 3, 0, 4, 2, 2, 3, 1, 4] pubkeycol1549 = [1, 1, 4, 4, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 4, 4, 4, 0, 0, 0, 4, 1, 4, 3, 3, 2, 4, 1, 1, 0, 1, 4, 4, 4, 4, 1, 3, 1, 1, 0, 0, 4, 0, 3, 1, 0, 0, 2, 1, 4, 0, 3, 1, 4, 1, 3, 4, 1, 1, 3, 1, 2, 1, 0, 0, 4, 1, 2, 4, 0, 2, 4, 2, 4, 1, 4, 0, 4, 3, 4, 2, 1, 3, 3, 0, 0, 4, 0, 0, 3, 3, 1, 3, 2, 4, 3, 1, 0, 4, 2, 0, 4, 1, 3, 0, 4, 1, 0, 2, 1, 3, 2, 1, 4, 4, 3, 2, 1, 3, 2, 1, 3, 2, 3, 1, 0, 3, 2, 0, 3, 2, 1, 1, 0, 2, 1, 4, 1, 1, 2, 2, 3, 1, 2, 4, 1, 2, 0, 3, 1, 1, 2, 1, 3, 0, 2, 4, 2, 2, 2, 0, 3, 2, 3, 4, 1, 1, 2, 3, 2, 2, 4, 0, 4, 2, 4, 3, 2, 0, 2, 1, 4, 0, 2, 3, 3, 4, 2, 3, 2, 0, 2, 2, 3, 2, 2, 3, 2, 3, 0, 1, 3, 4, 2, 2, 0, 3, 1, 3, 3, 1, 1, 3, 0, 2, 4, 4, 2, 4, 4, 2, 0, 3, 0, 4, 2, 2, 2, 4, 2, 1, 2, 1, 1, 1, 4, 2, 2, 0, 2, 1, 1, 3, 3, 2, 1, 3, 1, 3, 4, 3, 1, 3, 0, 2, 3, 3, 3, 2, 1, 3, 3, 1, 4, 4, 1, 2, 1, 3, 1, 1, 1, 4, 2, 1, 1, 0, 4, 3, 0, 4, 2, 1, 1, 3, 1, 2, 4, 2, 2, 4, 3, 0, 4, 0, 1, 0, 0, 1, 2, 4, 2, 0, 2, 3, 1, 2, 2, 0, 0, 3, 1, 1, 2, 1, 1, 4, 0, 3, 0, 1, 2, 2, 0, 0, 1, 2, 0, 4, 3, 4, 4, 2, 1, 1, 1, 2, 0, 4, 4, 0, 3, 4, 3, 0, 0, 1, 3, 1, 4, 2, 3, 4, 0, 0, 0, 0, 1, 3, 2, 4, 1, 4, 4, 3, 1, 1, 2, 2, 0, 0, 2, 4, 1, 2, 3, 1, 1, 2, 1, 0, 2, 3, 3, 4, 2, 0, 2, 3, 1, 3, 0, 3, 3, 1, 2, 4, 3, 4] pubkeycol1550 = [3, 3, 1, 3, 1, 3, 4, 4, 2, 0, 3, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 3, 2, 2, 2, 0, 0, 2, 4, 3, 3, 3, 0, 4, 3, 0, 2, 1, 0, 3, 3, 0, 3, 1, 2, 0, 1, 2, 2, 1, 3, 1, 1, 0, 1, 2, 3, 3, 2, 3, 2, 0, 4, 1, 2, 2, 0, 0, 1, 4, 1, 3, 3, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 0, 1, 4, 0, 4, 3, 0, 1, 1, 2, 1, 1, 3, 3, 4, 2, 3, 3, 2, 0, 1, 4, 1, 3, 3, 4, 2, 4, 2, 0, 3, 0, 0, 2, 0, 0, 2, 1, 3, 4, 2, 1, 3, 1, 0, 2, 3, 4, 0, 2, 2, 1, 1, 3, 0, 1, 3, 4, 0, 3, 3, 3, 0, 3, 2, 2, 1, 0, 3, 1, 1, 4, 2, 3, 4, 2, 4, 1, 0, 2, 2, 0, 1, 0, 3, 2, 4, 0, 1, 0, 2, 4, 1, 3, 0, 4, 3, 1, 1, 3, 3, 3, 4, 0, 0, 1, 0, 0, 0, 4, 0, 1, 0, 2, 0, 0, 0, 1, 3, 2, 4, 2, 1, 3, 0, 4, 2, 1, 4, 1, 2, 0, 0, 1, 3, 4, 2, 0, 3, 3, 2, 0, 4, 3, 4, 3, 1, 3, 3, 4, 0, 3, 4, 2, 4, 4, 4, 1, 1, 1, 0, 1, 3, 2, 4, 0, 2, 2, 3, 1, 2, 4, 3, 0, 3, 4, 3, 4, 3, 1, 4, 2, 4, 3, 4, 0, 4, 4, 3, 3, 1, 2, 2, 1, 3, 4, 0, 3, 4, 3, 2, 3, 3, 0, 0, 2, 4, 4, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 3, 0, 4, 0, 1, 2, 0, 1, 3, 0, 1, 1, 3, 2, 4, 2, 4, 3, 3, 3, 3, 0, 3, 0, 3, 0, 0, 4, 4, 0, 4, 0, 0, 0, 1, 2, 4, 2, 2, 3, 1, 2, 0, 0, 2, 1, 4, 1, 0, 4, 4, 4, 3, 2, 1, 0, 0, 3, 0, 0, 1, 1, 2, 4, 2, 4, 4, 4, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 3, 0, 4, 2, 0, 0, 4, 1, 3, 1, 2, 4, 3] pubkeycol1551 = [4, 3, 1, 0, 2, 4, 0, 2, 1, 4, 2, 4, 4, 1, 2, 0, 0, 0, 0, 3, 0, 1, 4, 4, 3, 1, 2, 1, 1, 0, 2, 1, 1, 0, 4, 4, 0, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 4, 2, 0, 0, 4, 3, 2, 2, 0, 4, 2, 3, 1, 3, 0, 2, 2, 0, 1, 3, 4, 2, 2, 0, 3, 2, 4, 1, 1, 4, 2, 4, 3, 2, 1, 4, 2, 0, 4, 1, 2, 0, 3, 0, 3, 1, 2, 4, 1, 4, 2, 3, 4, 3, 4, 4, 2, 3, 4, 2, 0, 3, 4, 3, 0, 4, 3, 4, 1, 3, 0, 3, 0, 2, 4, 3, 1, 2, 2, 0, 4, 3, 3, 3, 1, 2, 4, 1, 1, 1, 4, 2, 4, 3, 1, 0, 1, 1, 0, 4, 4, 4, 4, 2, 4, 3, 1, 3, 2, 2, 1, 3, 4, 2, 0, 4, 0, 0, 4, 4, 1, 2, 4, 2, 2, 4, 3, 4, 1, 0, 4, 4, 4, 4, 2, 0, 1, 4, 3, 0, 1, 4, 2, 2, 3, 2, 3, 2, 1, 0, 0, 3, 4, 0, 3, 2, 1, 0, 3, 4, 4, 2, 4, 1, 2, 4, 2, 4, 4, 0, 0, 3, 0, 4, 0, 1, 4, 2, 1, 3, 4, 1, 3, 4, 3, 0, 2, 0, 1, 2, 1, 0, 3, 4, 3, 4, 3, 0, 0, 0, 2, 4, 3, 3, 0, 3, 0, 0, 1, 4, 0, 1, 0, 0, 4, 2, 3, 2, 1, 4, 1, 3, 0, 1, 3, 0, 2, 0, 2, 4, 4, 4, 1, 3, 4, 4, 1, 4, 4, 4, 4, 4, 3, 2, 4, 4, 1, 1, 2, 0, 4, 0, 4, 2, 1, 4, 0, 3, 1, 2, 2, 1, 2, 2, 2, 3, 1, 0, 3, 3, 2, 1, 0, 2, 4, 1, 3, 4, 1, 2, 0, 1, 2, 0, 4, 2, 0, 0, 3, 0, 1, 1, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 3, 4, 3, 4, 3, 4, 4, 1, 4, 4, 1, 2, 0, 4, 4, 0, 2, 3, 3, 3, 3, 4, 4, 3, 1, 0, 2, 2, 2, 1, 0, 2, 3, 0, 0, 1, 0, 0, 3, 3, 0, 3, 2, 3, 1, 2, 2, 4, 2, 0, 4] pubkeycol1552 = [4, 1, 4, 1, 3, 0, 0, 4, 2, 4, 1, 4, 4, 2, 4, 3, 3, 2, 1, 1, 0, 3, 1, 4, 3, 3, 0, 0, 4, 3, 1, 1, 3, 3, 0, 2, 4, 2, 2, 3, 1, 4, 3, 1, 1, 4, 2, 1, 4, 0, 1, 4, 1, 0, 3, 0, 1, 4, 0, 0, 1, 0, 2, 2, 4, 4, 3, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2, 0, 2, 2, 3, 4, 1, 3, 0, 3, 2, 0, 2, 4, 0, 3, 4, 0, 1, 4, 2, 3, 2, 0, 4, 3, 0, 2, 2, 3, 3, 2, 3, 1, 3, 3, 0, 0, 4, 2, 4, 1, 4, 1, 1, 3, 2, 1, 3, 3, 0, 4, 1, 0, 3, 4, 1, 4, 1, 0, 2, 1, 0, 3, 0, 1, 1, 1, 3, 3, 1, 4, 0, 3, 0, 0, 0, 0, 4, 4, 2, 3, 2, 3, 0, 0, 0, 4, 2, 1, 3, 2, 0, 3, 0, 4, 4, 3, 1, 3, 4, 1, 4, 4, 1, 4, 1, 2, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 2, 0, 4, 4, 2, 1, 2, 1, 0, 1, 4, 0, 2, 0, 2, 0, 0, 3, 1, 4, 1, 3, 3, 2, 1, 0, 3, 4, 3, 1, 1, 4, 3, 2, 0, 3, 2, 0, 0, 1, 2, 4, 1, 2, 0, 0, 0, 0, 1, 0, 0, 3, 4, 1, 4, 3, 1, 0, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 3, 0, 3, 4, 4, 3, 2, 3, 3, 2, 2, 4, 1, 2, 1, 1, 0, 0, 2, 4, 3, 0, 2, 1, 1, 0, 0, 1, 3, 3, 4, 1, 0, 4, 1, 3, 4, 3, 2, 0, 0, 4, 1, 3, 2, 4, 1, 0, 3, 4, 4, 0, 3, 3, 0, 2, 1, 4, 2, 3, 0, 0, 0, 4, 0, 2, 3, 1, 4, 1, 4, 3, 4, 4, 4, 2, 4, 3, 2, 4, 2, 1, 2, 2, 3, 0, 2, 1, 4, 4, 4, 4, 0, 4, 2, 3, 3, 0, 4, 0, 4, 0, 0, 4, 4, 3, 1, 0, 4, 3, 3, 2, 1, 2, 3, 0, 0, 4, 2, 4, 4, 3, 0, 0, 1, 2, 2, 4, 4, 0, 2, 0, 0, 1, 4, 1, 1, 4] pubkeycol1553 = [4, 1, 1, 3, 0, 3, 1, 4, 3, 4, 4, 3, 2, 2, 3, 1, 1, 4, 1, 2, 1, 2, 3, 3, 4, 4, 4, 0, 3, 1, 2, 2, 3, 0, 3, 2, 0, 2, 2, 0, 4, 1, 3, 1, 4, 3, 2, 4, 2, 0, 4, 3, 4, 0, 1, 3, 4, 3, 1, 3, 0, 1, 4, 4, 2, 2, 3, 1, 2, 4, 2, 3, 1, 4, 4, 0, 3, 4, 0, 3, 1, 3, 1, 2, 3, 3, 0, 4, 0, 3, 0, 2, 3, 2, 0, 2, 2, 4, 2, 0, 2, 0, 2, 2, 0, 4, 3, 2, 2, 3, 2, 2, 2, 0, 4, 4, 1, 3, 1, 1, 3, 0, 3, 0, 4, 3, 0, 0, 1, 3, 1, 3, 2, 1, 2, 4, 2, 4, 0, 4, 2, 2, 2, 4, 1, 1, 1, 1, 2, 1, 0, 0, 0, 3, 3, 3, 2, 0, 2, 4, 3, 1, 2, 2, 0, 4, 4, 4, 1, 2, 1, 1, 1, 1, 2, 4, 2, 1, 4, 4, 1, 4, 2, 1, 3, 2, 0, 3, 3, 0, 2, 1, 0, 2, 3, 2, 1, 4, 0, 4, 3, 2, 4, 0, 2, 4, 2, 1, 0, 4, 3, 4, 1, 0, 1, 0, 1, 1, 0, 1, 1, 4, 1, 3, 4, 3, 3, 0, 2, 3, 0, 0, 1, 2, 4, 1, 1, 3, 3, 2, 3, 1, 0, 1, 2, 1, 0, 0, 4, 4, 1, 1, 1, 3, 0, 1, 3, 1, 2, 4, 2, 3, 1, 4, 2, 1, 1, 1, 0, 2, 2, 4, 3, 0, 0, 0, 2, 1, 1, 0, 0, 3, 2, 3, 4, 3, 0, 1, 3, 3, 2, 4, 3, 4, 2, 1, 0, 4, 1, 3, 4, 0, 0, 3, 1, 3, 3, 4, 4, 2, 2, 1, 4, 1, 0, 3, 1, 3, 2, 2, 1, 0, 1, 4, 3, 2, 0, 3, 3, 0, 2, 4, 3, 2, 3, 4, 0, 4, 4, 1, 3, 1, 1, 0, 1, 0, 1, 1, 4, 1, 2, 4, 1, 3, 4, 2, 3, 0, 3, 4, 0, 0, 3, 3, 2, 0, 0, 0, 3, 2, 1, 2, 0, 2, 1, 1, 2, 2, 3, 1, 1, 2, 2, 1, 1, 0, 1, 4, 3, 4, 1, 3, 4, 4, 4, 0, 1, 0, 1, 3] pubkeycol1554 = [0, 4, 3, 4, 2, 2, 2, 4, 4, 3, 0, 3, 4, 4, 0, 1, 0, 1, 4, 0, 2, 0, 0, 3, 1, 3, 0, 2, 2, 2, 3, 0, 1, 3, 4, 4, 2, 2, 4, 2, 3, 3, 2, 4, 3, 3, 1, 4, 4, 3, 4, 3, 2, 4, 2, 1, 4, 1, 4, 0, 3, 4, 1, 4, 2, 4, 3, 3, 4, 3, 0, 3, 2, 1, 4, 3, 4, 1, 2, 1, 0, 4, 0, 1, 2, 1, 2, 1, 0, 3, 0, 1, 2, 3, 3, 1, 1, 2, 1, 0, 1, 1, 1, 4, 1, 0, 3, 0, 2, 1, 0, 2, 1, 1, 4, 3, 1, 4, 1, 0, 4, 2, 4, 3, 2, 4, 3, 3, 4, 4, 3, 2, 2, 2, 3, 4, 2, 3, 0, 3, 0, 2, 4, 0, 4, 3, 1, 1, 1, 2, 0, 0, 2, 3, 0, 2, 2, 0, 0, 3, 0, 2, 2, 2, 4, 3, 4, 0, 3, 0, 4, 2, 4, 0, 1, 3, 0, 1, 4, 1, 3, 3, 0, 1, 0, 4, 1, 1, 3, 3, 1, 3, 3, 3, 2, 4, 0, 0, 3, 4, 4, 2, 4, 4, 0, 3, 4, 1, 3, 2, 0, 3, 2, 1, 4, 2, 0, 0, 0, 4, 2, 0, 4, 3, 1, 0, 2, 4, 0, 0, 1, 0, 0, 3, 1, 0, 4, 0, 4, 0, 3, 4, 4, 1, 1, 0, 0, 3, 4, 4, 4, 1, 4, 3, 0, 2, 4, 3, 1, 3, 4, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 3, 1, 0, 3, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 3, 1, 2, 3, 0, 1, 1, 2, 2, 3, 2, 4, 3, 4, 2, 3, 2, 1, 2, 0, 1, 3, 3, 4, 0, 2, 0, 0, 2, 2, 0, 3, 1, 1, 2, 3, 2, 1, 0, 2, 0, 0, 4, 1, 0, 1, 4, 1, 3, 4, 0, 0, 0, 0, 0, 4, 2, 2, 1, 0, 4, 3, 1, 1, 3, 2, 0, 2, 2, 3, 4, 3, 4, 4, 1, 0, 1, 2, 2, 3, 3, 4, 3, 2, 2, 0, 4, 2, 4, 4, 1, 0, 4, 3, 0, 2, 4, 3, 3, 1, 4, 4, 0, 1, 1, 2, 1, 1, 0, 0, 4, 3, 0, 1] pubkeycol1555 = [1, 4, 0, 3, 0, 4, 0, 0, 4, 1, 4, 2, 0, 4, 3, 3, 3, 2, 3, 3, 4, 4, 0, 1, 1, 0, 4, 0, 0, 0, 3, 0, 4, 1, 4, 4, 4, 4, 1, 1, 0, 2, 3, 3, 3, 0, 3, 4, 2, 0, 0, 3, 1, 3, 4, 4, 2, 2, 3, 0, 3, 0, 2, 4, 3, 0, 3, 3, 4, 4, 0, 1, 4, 0, 3, 0, 4, 0, 4, 3, 2, 3, 3, 3, 3, 2, 0, 1, 3, 2, 1, 0, 0, 3, 2, 1, 1, 0, 2, 4, 4, 3, 3, 0, 0, 3, 4, 3, 2, 4, 3, 2, 2, 0, 3, 0, 0, 3, 1, 4, 4, 3, 3, 3, 3, 2, 4, 2, 2, 0, 1, 2, 4, 2, 3, 3, 3, 0, 1, 1, 4, 1, 0, 3, 3, 2, 4, 1, 3, 3, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 3, 3, 3, 3, 2, 1, 2, 1, 0, 3, 2, 4, 4, 3, 1, 1, 0, 0, 1, 2, 3, 1, 2, 4, 0, 0, 2, 3, 0, 4, 3, 4, 1, 4, 1, 4, 0, 1, 4, 1, 0, 4, 2, 4, 3, 0, 0, 3, 4, 3, 4, 1, 4, 1, 3, 0, 2, 4, 0, 4, 1, 0, 3, 3, 3, 0, 4, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 4, 3, 2, 1, 4, 0, 0, 3, 2, 3, 3, 4, 2, 3, 1, 2, 3, 4, 0, 2, 0, 0, 4, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 3, 2, 0, 0, 2, 1, 3, 2, 4, 0, 2, 1, 4, 4, 3, 0, 4, 2, 3, 0, 3, 0, 1, 3, 0, 4, 4, 2, 2, 2, 4, 3, 1, 1, 1, 2, 4, 3, 2, 1, 1, 1, 0, 1, 3, 4, 4, 4, 3, 3, 2, 2, 0, 1, 0, 3, 0, 2, 4, 4, 2, 4, 0, 2, 4, 1, 1, 1, 1, 4, 1, 1, 1, 0, 1, 1, 0, 3, 0, 3, 0, 4, 3, 3, 2, 2, 1, 4, 2, 2, 2, 2, 2, 0, 0, 0, 4, 0, 4, 2, 2, 4, 1, 1, 1, 4, 3, 1, 4, 4, 2, 3, 4, 1, 0, 1, 3, 0, 1, 0, 4, 0, 0, 3, 3, 0, 3] pubkeycol1556 = [3, 1, 3, 3, 0, 2, 1, 4, 0, 1, 3, 3, 3, 2, 3, 1, 2, 3, 0, 3, 1, 2, 2, 0, 4, 3, 1, 3, 4, 1, 0, 1, 0, 4, 1, 1, 0, 2, 1, 1, 3, 1, 0, 2, 2, 3, 1, 3, 3, 0, 3, 1, 2, 2, 2, 3, 1, 3, 1, 2, 4, 3, 1, 3, 1, 2, 1, 2, 3, 3, 2, 0, 1, 4, 4, 1, 1, 4, 1, 4, 1, 2, 4, 3, 0, 3, 1, 1, 0, 3, 4, 0, 3, 0, 2, 0, 0, 1, 4, 2, 1, 3, 1, 0, 0, 2, 0, 1, 3, 4, 3, 1, 0, 2, 3, 4, 1, 1, 2, 0, 0, 2, 1, 3, 4, 0, 0, 2, 1, 1, 4, 0, 2, 3, 2, 2, 4, 0, 4, 2, 1, 2, 3, 4, 4, 2, 0, 0, 2, 1, 2, 3, 0, 4, 4, 2, 3, 2, 4, 0, 4, 1, 1, 4, 0, 0, 0, 0, 0, 3, 4, 3, 2, 3, 3, 2, 3, 3, 2, 1, 1, 3, 0, 3, 0, 2, 4, 1, 1, 0, 3, 1, 1, 1, 4, 4, 2, 2, 3, 3, 4, 1, 3, 1, 4, 1, 0, 0, 2, 2, 2, 3, 0, 1, 2, 1, 2, 4, 1, 2, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 4, 1, 1, 2, 1, 4, 4, 4, 2, 1, 4, 2, 1, 1, 0, 1, 2, 3, 3, 4, 1, 2, 4, 1, 4, 0, 4, 0, 2, 3, 2, 4, 0, 3, 1, 0, 3, 4, 2, 3, 2, 0, 4, 4, 3, 1, 4, 3, 4, 2, 3, 1, 3, 0, 4, 2, 4, 2, 0, 4, 0, 4, 3, 0, 0, 3, 0, 1, 4, 1, 0, 0, 1, 3, 1, 4, 2, 0, 1, 0, 4, 0, 2, 3, 3, 3, 0, 2, 2, 0, 1, 2, 3, 3, 2, 2, 3, 2, 3, 0, 0, 0, 3, 4, 0, 1, 0, 4, 4, 2, 3, 1, 3, 1, 0, 2, 2, 3, 0, 0, 3, 2, 2, 3, 3, 1, 3, 0, 4, 3, 3, 0, 4, 3, 2, 2, 4, 4, 2, 4, 4, 4, 4, 0, 1, 2, 2, 3, 3, 1, 2, 4, 3, 3, 0, 4, 1, 4, 3, 4, 0, 2, 3, 0, 4, 3, 3, 1, 3, 2] pubkeycol1557 = [3, 0, 4, 2, 1, 2, 3, 4, 3, 0, 3, 4, 4, 0, 0, 2, 2, 3, 4, 4, 2, 0, 2, 4, 4, 4, 3, 2, 0, 0, 3, 2, 0, 2, 1, 2, 1, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 2, 1, 0, 4, 3, 2, 1, 4, 2, 1, 2, 2, 0, 3, 2, 0, 2, 0, 0, 3, 2, 0, 4, 3, 4, 3, 3, 3, 0, 2, 1, 0, 0, 4, 1, 3, 3, 1, 4, 4, 1, 1, 2, 2, 4, 4, 1, 3, 3, 4, 0, 1, 2, 1, 3, 1, 4, 3, 2, 2, 2, 4, 1, 0, 4, 3, 0, 2, 4, 0, 1, 2, 3, 1, 2, 4, 4, 3, 2, 1, 4, 0, 4, 0, 0, 4, 4, 3, 4, 4, 0, 4, 4, 1, 0, 4, 3, 0, 4, 2, 3, 0, 4, 1, 4, 4, 2, 0, 0, 2, 4, 0, 1, 2, 1, 2, 0, 0, 0, 0, 4, 4, 1, 3, 4, 4, 2, 3, 4, 4, 4, 2, 2, 0, 0, 1, 0, 2, 3, 1, 1, 3, 4, 2, 3, 4, 4, 0, 0, 2, 0, 2, 0, 1, 0, 0, 3, 0, 3, 3, 4, 1, 2, 3, 1, 1, 2, 1, 4, 0, 1, 2, 4, 0, 4, 1, 1, 0, 2, 0, 2, 2, 4, 3, 4, 1, 4, 1, 2, 4, 0, 2, 4, 4, 4, 3, 1, 4, 4, 2, 0, 0, 0, 4, 1, 1, 3, 3, 3, 2, 1, 0, 4, 3, 4, 4, 3, 2, 4, 1, 0, 3, 4, 1, 3, 2, 4, 4, 3, 4, 0, 3, 2, 4, 3, 1, 0, 2, 0, 2, 0, 2, 0, 3, 1, 4, 1, 0, 2, 2, 3, 1, 1, 4, 3, 4, 1, 0, 1, 2, 3, 1, 2, 0, 2, 1, 4, 4, 2, 1, 2, 1, 3, 3, 3, 3, 3, 4, 2, 1, 2, 3, 3, 3, 4, 0, 4, 1, 3, 3, 0, 4, 4, 1, 2, 2, 3, 4, 0, 3, 2, 4, 4, 0, 4, 4, 1, 3, 4, 0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 3, 4, 4, 1, 4, 1, 1, 2, 2, 1, 1, 3, 3, 3, 3, 1, 3, 0, 4, 2, 3, 4, 0, 2, 1, 4, 3, 4, 2, 3, 3, 1, 1] pubkeycol1558 = [2, 3, 2, 3, 1, 4, 3, 0, 4, 3, 1, 0, 3, 2, 0, 4, 1, 2, 0, 0, 0, 1, 2, 4, 0, 3, 4, 0, 2, 1, 1, 3, 3, 4, 2, 0, 2, 2, 2, 4, 3, 4, 0, 1, 3, 1, 3, 2, 3, 4, 1, 0, 3, 2, 0, 4, 4, 2, 3, 1, 3, 4, 0, 1, 2, 2, 1, 0, 2, 1, 0, 4, 4, 1, 2, 1, 0, 1, 0, 0, 4, 1, 1, 3, 2, 3, 1, 4, 4, 1, 2, 3, 1, 4, 1, 3, 0, 3, 4, 0, 0, 1, 0, 2, 4, 4, 2, 1, 4, 3, 1, 1, 4, 3, 4, 1, 1, 1, 3, 0, 0, 2, 4, 0, 0, 3, 3, 1, 0, 2, 0, 1, 4, 0, 2, 3, 2, 2, 0, 0, 1, 4, 4, 4, 1, 2, 0, 2, 2, 4, 2, 1, 3, 4, 3, 3, 0, 3, 4, 2, 2, 1, 4, 2, 3, 2, 2, 1, 1, 3, 2, 3, 0, 4, 2, 1, 4, 2, 3, 0, 4, 0, 1, 1, 3, 4, 3, 2, 4, 2, 3, 0, 1, 3, 1, 2, 4, 3, 1, 4, 3, 2, 4, 4, 0, 1, 3, 3, 3, 0, 1, 0, 4, 0, 0, 2, 2, 2, 3, 2, 0, 0, 1, 0, 4, 0, 4, 4, 0, 0, 2, 2, 3, 4, 0, 0, 3, 1, 0, 3, 2, 3, 0, 1, 2, 3, 1, 4, 2, 3, 4, 0, 3, 1, 4, 3, 1, 2, 0, 0, 0, 4, 2, 4, 4, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 1, 3, 2, 4, 0, 3, 2, 2, 2, 1, 4, 2, 0, 0, 0, 3, 0, 2, 2, 1, 4, 3, 4, 2, 0, 2, 2, 4, 1, 4, 2, 2, 4, 1, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 2, 4, 2, 2, 3, 1, 1, 1, 1, 0, 0, 3, 0, 3, 3, 3, 3, 4, 2, 2, 3, 4, 1, 0, 1, 3, 2, 1, 2, 4, 3, 0, 4, 2, 4, 2, 4, 0, 3, 0, 4, 2, 1, 4, 4, 2, 1, 1, 4, 1, 0, 4, 0, 3, 4, 0, 4, 1, 1, 1, 2, 3, 0, 0, 2, 3, 2, 3, 4, 1, 2, 1, 1, 2, 0, 0, 0, 2, 3, 0, 3] pubkeycol1559 = [4, 0, 2, 4, 1, 2, 0, 2, 3, 3, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 3, 1, 3, 0, 2, 0, 3, 3, 2, 3, 2, 0, 1, 2, 1, 4, 3, 2, 2, 3, 1, 0, 3, 0, 4, 4, 1, 4, 4, 4, 4, 1, 0, 0, 4, 0, 0, 0, 3, 3, 3, 3, 0, 2, 1, 4, 1, 3, 3, 4, 0, 0, 0, 4, 3, 1, 1, 4, 0, 0, 0, 3, 4, 3, 3, 4, 0, 1, 0, 0, 3, 4, 2, 0, 2, 2, 2, 2, 1, 4, 4, 4, 0, 4, 4, 1, 2, 2, 1, 3, 1, 4, 1, 3, 4, 3, 3, 4, 2, 1, 1, 0, 1, 1, 4, 3, 0, 1, 2, 1, 3, 3, 2, 0, 3, 0, 3, 3, 3, 2, 3, 4, 2, 4, 1, 0, 4, 2, 3, 4, 4, 3, 1, 4, 4, 1, 2, 1, 2, 0, 1, 4, 4, 0, 3, 3, 3, 3, 4, 0, 3, 2, 3, 3, 3, 2, 0, 1, 0, 3, 1, 0, 2, 1, 4, 1, 1, 3, 0, 3, 0, 2, 2, 2, 0, 2, 0, 3, 1, 3, 4, 0, 2, 4, 3, 4, 1, 1, 3, 1, 1, 2, 2, 2, 4, 0, 0, 0, 1, 3, 2, 1, 2, 1, 1, 4, 0, 2, 1, 2, 2, 4, 2, 2, 2, 0, 2, 3, 2, 4, 1, 1, 4, 3, 1, 0, 2, 4, 2, 3, 4, 2, 2, 0, 0, 1, 1, 2, 3, 1, 3, 4, 0, 2, 3, 4, 0, 2, 2, 4, 1, 4, 0, 4, 4, 1, 1, 4, 3, 1, 3, 2, 2, 4, 3, 4, 3, 0, 4, 4, 4, 3, 3, 3, 2, 3, 2, 2, 4, 0, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 2, 4, 4, 1, 1, 4, 0, 1, 0, 4, 2, 2, 1, 0, 1, 2, 3, 2, 3, 0, 3, 2, 1, 3, 2, 0, 2, 4, 4, 3, 2, 4, 1, 3, 0, 2, 3, 4, 0, 0, 0, 2, 2, 2, 4, 2, 2, 0, 4, 1, 0, 0, 3, 1, 2, 4, 1, 2, 4, 0, 3, 3, 1, 1, 3, 0, 0, 1, 2, 2, 1, 2, 3, 3, 4, 1, 0, 4, 2, 0, 1, 1, 3, 1, 4, 3] pubkeycol1560 = [2, 1, 2, 3, 4, 2, 4, 3, 0, 2, 0, 2, 3, 2, 2, 2, 1, 3, 1, 1, 2, 0, 1, 4, 4, 1, 0, 3, 2, 4, 1, 2, 0, 0, 1, 4, 1, 3, 1, 0, 2, 0, 3, 0, 4, 2, 0, 4, 3, 2, 1, 3, 2, 1, 3, 3, 2, 0, 4, 2, 4, 3, 4, 4, 4, 0, 2, 1, 1, 3, 2, 0, 4, 3, 4, 1, 1, 0, 4, 4, 2, 0, 4, 1, 3, 2, 2, 4, 1, 1, 4, 0, 2, 2, 2, 0, 2, 3, 4, 2, 2, 2, 2, 2, 0, 0, 4, 3, 4, 1, 0, 4, 0, 4, 1, 4, 4, 1, 2, 4, 4, 2, 3, 2, 2, 2, 2, 2, 0, 0, 3, 3, 4, 3, 3, 1, 3, 2, 1, 2, 2, 3, 3, 4, 2, 0, 3, 2, 4, 3, 3, 1, 3, 3, 2, 2, 2, 0, 4, 4, 0, 4, 3, 2, 3, 1, 2, 3, 1, 2, 2, 2, 0, 2, 4, 3, 4, 4, 2, 4, 4, 0, 4, 0, 0, 1, 1, 1, 2, 3, 4, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 0, 3, 4, 1, 0, 4, 4, 0, 0, 4, 2, 4, 2, 4, 1, 4, 4, 4, 2, 0, 2, 4, 2, 0, 4, 0, 4, 0, 2, 3, 3, 1, 2, 1, 3, 4, 1, 1, 4, 0, 3, 3, 3, 1, 3, 0, 3, 4, 0, 4, 4, 4, 2, 1, 0, 4, 3, 4, 2, 4, 2, 0, 2, 1, 3, 0, 4, 2, 0, 2, 2, 4, 4, 2, 2, 2, 2, 2, 4, 0, 2, 3, 0, 2, 4, 4, 3, 1, 4, 4, 3, 4, 4, 2, 0, 0, 3, 0, 0, 3, 2, 0, 4, 2, 0, 0, 0, 3, 1, 0, 4, 2, 4, 0, 0, 4, 1, 0, 0, 1, 2, 3, 1, 1, 3, 0, 0, 3, 4, 4, 4, 0, 0, 2, 3, 0, 1, 4, 2, 4, 1, 4, 0, 0, 1, 4, 4, 2, 4, 2, 2, 4, 4, 3, 4, 0, 0, 1, 2, 0, 3, 0, 2, 0, 0, 0, 3, 4, 4, 4, 0, 2, 3, 3, 1, 0, 0, 0, 2, 0, 2, 2, 3, 2, 1, 0, 1, 1, 4, 3, 2, 1, 0, 2, 1, 3, 4, 3, 2] pubkeycol1561 = [3, 3, 0, 0, 3, 1, 3, 1, 0, 0, 2, 1, 0, 1, 3, 0, 4, 0, 1, 4, 4, 3, 1, 3, 1, 1, 2, 4, 2, 1, 3, 2, 2, 1, 3, 1, 4, 4, 0, 2, 4, 1, 1, 3, 1, 3, 2, 3, 4, 3, 1, 4, 2, 4, 1, 3, 0, 4, 3, 1, 4, 0, 0, 4, 4, 0, 3, 3, 0, 4, 4, 2, 4, 2, 1, 1, 2, 1, 3, 0, 1, 0, 1, 2, 2, 3, 0, 0, 3, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 4, 3, 3, 1, 1, 2, 3, 2, 4, 2, 2, 0, 3, 1, 3, 2, 1, 3, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 4, 0, 2, 2, 0, 4, 4, 2, 4, 1, 4, 2, 0, 0, 4, 2, 0, 4, 3, 1, 3, 1, 2, 1, 0, 3, 2, 3, 4, 0, 3, 1, 2, 3, 4, 0, 0, 0, 2, 3, 0, 0, 2, 1, 2, 3, 2, 2, 1, 4, 3, 0, 2, 1, 3, 3, 2, 4, 3, 2, 0, 3, 4, 4, 3, 3, 4, 3, 3, 0, 3, 3, 4, 4, 4, 4, 0, 3, 3, 4, 1, 1, 1, 0, 1, 0, 2, 0, 0, 4, 1, 1, 0, 0, 3, 4, 3, 0, 0, 1, 0, 2, 1, 3, 0, 2, 3, 1, 2, 3, 4, 0, 4, 2, 4, 1, 4, 4, 0, 1, 0, 3, 1, 4, 3, 1, 2, 4, 4, 1, 0, 0, 4, 2, 1, 3, 4, 3, 4, 1, 0, 3, 4, 1, 2, 4, 1, 4, 0, 4, 3, 4, 0, 3, 0, 0, 2, 2, 4, 1, 4, 4, 0, 3, 3, 4, 1, 1, 4, 3, 3, 1, 3, 1, 3, 2, 4, 4, 4, 4, 4, 3, 0, 4, 1, 2, 0, 2, 1, 0, 3, 1, 3, 0, 0, 2, 4, 0, 0, 3, 3, 2, 4, 3, 0, 2, 2, 0, 2, 3, 1, 0, 4, 4, 3, 1, 4, 4, 0, 0, 4, 1, 3, 2, 2, 3, 1, 4, 3, 2, 3, 0, 3, 0, 2, 4, 4, 1, 2, 4, 3, 0, 2, 2, 3, 4, 4, 4, 4, 4, 2, 3, 4, 0, 2, 2, 2, 0, 2, 1, 4, 3, 1, 0, 1, 3, 2, 2] pubkeycol1562 = [1, 3, 2, 4, 1, 4, 4, 0, 1, 1, 4, 3, 0, 0, 0, 0, 1, 3, 4, 2, 0, 3, 0, 1, 0, 4, 0, 4, 4, 0, 1, 0, 1, 4, 4, 2, 2, 3, 0, 1, 2, 4, 2, 1, 3, 0, 4, 2, 3, 2, 3, 4, 4, 4, 0, 2, 3, 4, 1, 0, 4, 0, 4, 1, 4, 1, 4, 2, 1, 4, 1, 2, 2, 2, 0, 2, 0, 1, 2, 3, 2, 2, 2, 2, 3, 1, 4, 4, 1, 3, 4, 4, 1, 4, 1, 0, 3, 2, 4, 1, 4, 2, 1, 3, 1, 1, 0, 4, 4, 4, 0, 3, 1, 3, 1, 2, 0, 0, 1, 0, 3, 2, 2, 1, 0, 1, 0, 1, 1, 3, 0, 0, 2, 3, 3, 0, 4, 3, 1, 0, 3, 1, 3, 1, 2, 0, 1, 0, 4, 3, 0, 3, 0, 2, 4, 1, 4, 4, 1, 2, 1, 3, 3, 3, 4, 3, 3, 4, 1, 4, 3, 3, 1, 0, 1, 4, 1, 3, 1, 0, 1, 4, 3, 2, 0, 0, 3, 2, 2, 0, 1, 1, 3, 3, 4, 1, 1, 3, 4, 2, 4, 3, 0, 1, 2, 4, 4, 3, 1, 3, 0, 3, 0, 4, 3, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 4, 2, 4, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 3, 4, 0, 4, 1, 3, 0, 4, 3, 0, 4, 3, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 4, 3, 1, 2, 4, 2, 2, 2, 3, 3, 0, 2, 3, 2, 1, 4, 3, 3, 4, 3, 0, 3, 4, 4, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 3, 2, 4, 3, 2, 1, 1, 3, 3, 3, 0, 2, 1, 2, 1, 2, 4, 0, 2, 0, 1, 3, 1, 0, 4, 4, 3, 4, 2, 1, 2, 0, 0, 1, 0, 4, 3, 2, 0, 3, 3, 1, 1, 2, 3, 1, 4, 1, 2, 3, 4, 0, 1, 4, 0, 4, 0, 4, 4, 2, 2, 1, 0, 1, 1, 0, 4, 4, 1, 1, 1, 2, 0, 4, 0, 3, 4, 4, 2, 3, 2, 2, 1, 3, 4, 3, 3, 4, 1, 3, 1, 1, 1, 4, 3, 4, 0] pubkeycol1563 = [0, 4, 1, 3, 0, 3, 1, 4, 0, 4, 1, 4, 3, 4, 0, 4, 0, 4, 4, 0, 4, 2, 2, 0, 2, 3, 2, 4, 2, 3, 4, 4, 4, 1, 4, 4, 2, 1, 1, 0, 4, 4, 2, 4, 4, 1, 3, 1, 0, 3, 4, 3, 2, 4, 0, 0, 3, 0, 3, 2, 2, 4, 1, 3, 3, 0, 1, 1, 2, 1, 2, 2, 3, 2, 3, 2, 4, 2, 3, 2, 2, 4, 3, 2, 4, 3, 4, 4, 4, 0, 1, 2, 0, 2, 3, 3, 2, 3, 1, 2, 0, 0, 0, 1, 2, 0, 0, 3, 2, 3, 0, 2, 3, 4, 2, 1, 2, 4, 4, 0, 3, 4, 3, 3, 0, 4, 1, 4, 2, 3, 0, 3, 4, 1, 4, 3, 4, 0, 3, 2, 3, 4, 0, 0, 4, 2, 1, 3, 1, 2, 2, 4, 4, 2, 2, 1, 4, 0, 0, 0, 1, 3, 2, 2, 4, 3, 3, 2, 2, 3, 0, 3, 2, 1, 4, 4, 3, 2, 1, 1, 0, 0, 3, 3, 2, 3, 3, 3, 1, 1, 4, 3, 4, 2, 4, 2, 2, 3, 2, 0, 3, 2, 1, 0, 0, 1, 1, 0, 4, 4, 1, 3, 3, 2, 4, 1, 1, 2, 0, 0, 0, 2, 0, 4, 1, 0, 1, 3, 2, 3, 3, 2, 4, 0, 1, 4, 2, 0, 4, 1, 0, 1, 3, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 4, 4, 0, 0, 2, 4, 3, 2, 0, 2, 0, 0, 1, 3, 2, 0, 2, 2, 4, 0, 1, 0, 1, 4, 2, 2, 1, 2, 4, 1, 4, 1, 0, 1, 0, 1, 4, 4, 3, 0, 3, 4, 4, 2, 3, 4, 0, 1, 3, 1, 1, 2, 3, 0, 1, 4, 4, 4, 1, 2, 4, 2, 4, 0, 0, 1, 4, 2, 0, 2, 0, 0, 0, 3, 0, 2, 0, 3, 2, 2, 3, 4, 2, 2, 4, 1, 4, 3, 2, 1, 4, 1, 1, 3, 4, 2, 1, 2, 0, 1, 0, 0, 0, 3, 2, 1, 4, 0, 4, 0, 2, 3, 4, 4, 1, 0, 1, 3, 0, 2, 3, 4, 2, 2, 1, 4, 0, 3, 3, 0, 1, 0, 1, 2, 4, 2, 3, 3, 4, 4, 2, 0, 2, 2, 2, 1, 0] pubkeycol1564 = [4, 1, 0, 3, 2, 1, 4, 0, 2, 4, 2, 1, 1, 0, 1, 0, 1, 4, 1, 2, 4, 3, 1, 1, 3, 4, 4, 4, 4, 0, 3, 0, 0, 3, 0, 1, 3, 0, 3, 4, 4, 1, 2, 0, 2, 0, 0, 1, 2, 0, 3, 1, 4, 1, 3, 0, 4, 0, 3, 1, 0, 1, 4, 3, 2, 2, 3, 3, 0, 1, 0, 3, 2, 1, 0, 4, 4, 2, 4, 4, 4, 3, 0, 4, 3, 1, 2, 2, 3, 1, 3, 1, 3, 3, 1, 0, 2, 0, 4, 0, 2, 2, 3, 1, 4, 2, 4, 1, 3, 4, 3, 1, 0, 2, 3, 4, 2, 3, 3, 1, 1, 1, 3, 3, 1, 4, 2, 0, 4, 0, 2, 1, 3, 1, 2, 4, 1, 2, 4, 2, 0, 4, 4, 4, 1, 0, 4, 3, 4, 4, 0, 1, 1, 3, 1, 4, 1, 2, 4, 0, 0, 3, 1, 0, 1, 3, 0, 0, 0, 4, 0, 3, 3, 4, 2, 1, 0, 2, 3, 4, 1, 2, 0, 1, 4, 2, 0, 1, 0, 4, 2, 0, 0, 0, 1, 1, 2, 2, 1, 4, 0, 4, 3, 1, 2, 1, 1, 4, 2, 4, 3, 0, 0, 3, 3, 3, 4, 1, 1, 3, 1, 2, 0, 1, 4, 4, 0, 1, 0, 4, 2, 4, 4, 0, 1, 0, 1, 4, 1, 3, 3, 0, 2, 0, 4, 0, 2, 4, 0, 0, 0, 3, 1, 2, 1, 1, 2, 4, 4, 3, 0, 3, 2, 1, 0, 3, 4, 3, 3, 2, 0, 0, 3, 3, 4, 0, 2, 3, 2, 4, 0, 0, 3, 1, 4, 4, 0, 3, 3, 4, 0, 4, 1, 3, 0, 0, 3, 2, 2, 4, 1, 1, 4, 0, 3, 0, 2, 0, 0, 2, 3, 4, 1, 2, 2, 4, 4, 3, 1, 1, 0, 2, 0, 4, 0, 3, 0, 1, 4, 2, 1, 1, 1, 3, 4, 0, 3, 1, 4, 1, 4, 2, 3, 2, 4, 4, 0, 2, 1, 2, 0, 1, 1, 0, 4, 3, 4, 0, 1, 0, 3, 4, 0, 0, 2, 2, 0, 1, 2, 2, 3, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 3, 1, 0, 2, 1, 1, 4, 2, 0, 1, 4, 2, 2] pubkeycol1565 = [3, 2, 0, 3, 0, 4, 2, 0, 4, 0, 4, 4, 1, 0, 4, 0, 2, 2, 1, 2, 1, 4, 2, 4, 0, 2, 0, 2, 2, 2, 1, 3, 2, 0, 2, 4, 4, 0, 0, 1, 3, 4, 2, 0, 0, 4, 4, 1, 2, 4, 1, 0, 4, 1, 0, 2, 3, 3, 2, 4, 0, 1, 1, 0, 2, 0, 4, 4, 4, 2, 4, 2, 1, 1, 4, 3, 0, 2, 3, 0, 1, 0, 4, 4, 3, 0, 2, 0, 1, 3, 4, 3, 2, 2, 4, 3, 0, 3, 2, 1, 0, 2, 1, 4, 3, 2, 3, 4, 4, 2, 1, 1, 1, 3, 2, 0, 2, 0, 0, 0, 1, 4, 1, 4, 1, 1, 4, 1, 2, 1, 2, 4, 0, 4, 0, 4, 2, 3, 4, 2, 4, 2, 1, 1, 3, 1, 0, 0, 4, 0, 3, 4, 3, 0, 0, 4, 4, 0, 0, 4, 2, 3, 2, 1, 4, 4, 3, 1, 1, 1, 4, 0, 4, 4, 0, 2, 4, 3, 2, 2, 2, 3, 3, 1, 3, 2, 0, 1, 0, 4, 3, 1, 4, 0, 4, 1, 4, 2, 2, 4, 4, 1, 0, 3, 4, 1, 4, 2, 1, 1, 1, 0, 3, 0, 4, 3, 1, 3, 2, 3, 1, 1, 0, 2, 1, 4, 2, 4, 2, 1, 0, 4, 1, 0, 0, 4, 2, 3, 0, 2, 0, 0, 4, 2, 2, 3, 1, 3, 0, 0, 2, 4, 0, 2, 3, 0, 0, 4, 4, 2, 4, 1, 1, 3, 2, 3, 4, 2, 4, 4, 2, 1, 0, 1, 2, 4, 0, 4, 1, 2, 2, 3, 1, 1, 2, 0, 2, 0, 4, 2, 0, 0, 3, 0, 3, 4, 2, 4, 3, 4, 0, 2, 3, 2, 4, 0, 2, 2, 4, 3, 4, 3, 3, 0, 0, 0, 0, 4, 3, 0, 4, 0, 1, 3, 3, 0, 2, 4, 2, 3, 4, 0, 4, 0, 2, 4, 3, 1, 0, 3, 2, 3, 0, 1, 3, 3, 4, 4, 2, 3, 0, 1, 3, 2, 1, 2, 1, 4, 1, 0, 3, 3, 3, 4, 4, 4, 4, 0, 0, 1, 3, 2, 1, 4, 2, 2, 1, 1, 0, 4, 3, 1, 0, 4, 1, 0, 2, 3, 2, 4, 4, 2, 4, 2, 1, 3, 4, 1, 4, 3] pubkeycol1566 = [1, 3, 3, 0, 2, 4, 1, 0, 4, 0, 4, 0, 3, 2, 0, 4, 2, 4, 3, 0, 0, 3, 0, 4, 4, 0, 3, 0, 2, 4, 4, 0, 4, 4, 3, 1, 3, 0, 2, 4, 2, 1, 0, 4, 3, 2, 0, 2, 1, 2, 1, 2, 3, 0, 0, 4, 0, 4, 1, 4, 4, 4, 4, 0, 2, 3, 2, 2, 2, 2, 0, 1, 2, 3, 3, 3, 3, 0, 4, 2, 0, 1, 4, 3, 1, 0, 4, 4, 3, 0, 2, 2, 4, 1, 3, 3, 2, 3, 3, 3, 3, 4, 1, 4, 0, 0, 1, 0, 4, 0, 3, 2, 0, 2, 3, 2, 1, 0, 0, 1, 0, 0, 4, 0, 3, 2, 0, 4, 2, 2, 3, 2, 4, 4, 4, 1, 3, 0, 3, 4, 2, 1, 2, 1, 0, 4, 3, 4, 1, 3, 4, 4, 1, 1, 4, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 4, 3, 1, 2, 0, 2, 3, 3, 2, 3, 4, 0, 1, 3, 4, 3, 2, 3, 2, 2, 1, 3, 2, 3, 4, 4, 2, 2, 1, 1, 3, 3, 4, 3, 1, 3, 3, 3, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 3, 3, 2, 1, 4, 2, 4, 1, 1, 3, 2, 1, 0, 4, 0, 0, 2, 3, 0, 3, 4, 0, 2, 3, 0, 4, 0, 1, 1, 1, 0, 0, 0, 2, 4, 4, 1, 0, 2, 3, 4, 2, 4, 2, 0, 1, 3, 1, 2, 0, 4, 1, 1, 1, 4, 1, 4, 0, 1, 3, 3, 2, 3, 3, 4, 0, 1, 2, 4, 4, 3, 3, 2, 2, 2, 2, 0, 4, 1, 1, 3, 2, 3, 2, 3, 2, 3, 4, 2, 4, 0, 4, 0, 0, 3, 0, 3, 1, 2, 4, 2, 0, 1, 1, 0, 2, 1, 0, 0, 4, 2, 3, 2, 2, 3, 1, 2, 3, 4, 4, 4, 1, 0, 3, 3, 3, 2, 3, 1, 2, 2, 3, 1, 3, 4, 2, 3, 0, 0, 0, 0, 3, 0, 2, 3, 3, 0, 4, 1, 3, 3, 4, 1, 2, 1, 3, 3, 1, 0, 4, 4, 4, 1, 3, 4, 0, 1, 3, 4, 4, 0, 1, 3, 2, 2, 4, 4, 3, 3, 0, 3, 1, 2, 2] pubkeycol1567 = [3, 4, 3, 1, 2, 2, 4, 2, 1, 2, 4, 1, 1, 0, 0, 1, 4, 0, 1, 2, 0, 2, 2, 1, 3, 1, 4, 0, 2, 4, 2, 1, 4, 0, 0, 1, 1, 2, 1, 4, 1, 4, 0, 4, 4, 2, 1, 4, 3, 0, 1, 1, 0, 2, 1, 1, 4, 1, 3, 2, 0, 2, 1, 0, 0, 4, 1, 4, 2, 3, 2, 1, 0, 0, 4, 3, 2, 0, 0, 0, 3, 0, 4, 3, 2, 0, 0, 2, 3, 0, 1, 4, 0, 3, 1, 4, 1, 1, 0, 1, 4, 2, 4, 0, 1, 2, 0, 1, 2, 1, 1, 4, 1, 1, 3, 0, 3, 0, 1, 3, 1, 0, 0, 1, 0, 0, 3, 1, 0, 0, 0, 4, 4, 3, 1, 3, 4, 3, 0, 3, 2, 2, 2, 4, 4, 2, 0, 4, 0, 4, 4, 2, 1, 4, 1, 1, 1, 3, 0, 0, 4, 0, 4, 2, 0, 4, 4, 3, 2, 4, 2, 1, 4, 0, 3, 2, 4, 0, 3, 3, 4, 1, 0, 1, 2, 3, 0, 4, 1, 2, 3, 4, 0, 4, 4, 4, 1, 0, 4, 1, 4, 0, 4, 0, 3, 0, 2, 0, 0, 1, 1, 4, 4, 0, 4, 4, 1, 1, 4, 4, 1, 4, 1, 4, 1, 0, 0, 1, 4, 2, 2, 4, 4, 3, 2, 3, 0, 4, 1, 3, 2, 3, 4, 0, 3, 4, 1, 0, 0, 4, 3, 0, 1, 1, 1, 2, 2, 3, 2, 4, 2, 1, 3, 2, 2, 3, 4, 0, 4, 4, 0, 0, 1, 4, 1, 1, 3, 2, 1, 1, 3, 3, 3, 1, 0, 2, 2, 2, 4, 2, 0, 3, 3, 2, 2, 0, 0, 2, 4, 3, 3, 0, 3, 2, 1, 3, 3, 0, 2, 0, 0, 2, 3, 0, 2, 3, 3, 4, 1, 0, 1, 0, 4, 4, 3, 3, 2, 2, 4, 0, 2, 1, 1, 0, 2, 2, 3, 3, 1, 0, 3, 4, 4, 1, 3, 0, 3, 3, 4, 1, 3, 1, 3, 3, 3, 3, 1, 0, 4, 3, 2, 4, 3, 2, 2, 2, 3, 4, 3, 2, 4, 3, 3, 3, 4, 0, 3, 4, 1, 4, 0, 0, 2, 4, 0, 3, 2, 2, 0, 0, 4, 1, 1, 4, 2, 1, 2, 2, 4, 2] pubkeycol1568 = [0, 0, 2, 1, 0, 4, 0, 2, 2, 0, 2, 3, 1, 4, 0, 4, 4, 3, 4, 0, 2, 1, 1, 0, 2, 1, 0, 0, 3, 0, 4, 1, 3, 1, 0, 2, 3, 2, 0, 3, 4, 0, 3, 1, 0, 0, 4, 0, 2, 3, 1, 1, 3, 4, 4, 1, 1, 3, 4, 0, 1, 2, 1, 1, 4, 1, 3, 4, 2, 2, 3, 2, 0, 1, 2, 1, 3, 3, 3, 1, 2, 1, 2, 4, 3, 0, 3, 3, 4, 1, 2, 2, 3, 2, 2, 3, 2, 0, 3, 0, 0, 0, 4, 4, 2, 4, 2, 3, 0, 0, 3, 1, 1, 3, 1, 2, 0, 2, 1, 0, 2, 2, 3, 2, 3, 0, 3, 4, 1, 3, 4, 0, 2, 1, 2, 1, 1, 1, 0, 4, 0, 4, 1, 3, 3, 1, 4, 2, 3, 4, 4, 2, 4, 1, 2, 1, 3, 1, 2, 2, 2, 1, 3, 4, 4, 4, 0, 2, 1, 3, 1, 0, 3, 4, 4, 3, 0, 3, 0, 0, 0, 1, 0, 3, 3, 3, 2, 4, 4, 2, 2, 0, 3, 1, 0, 4, 3, 0, 4, 0, 4, 1, 3, 1, 4, 0, 1, 4, 2, 3, 2, 0, 4, 0, 1, 1, 0, 2, 1, 4, 1, 2, 4, 4, 2, 2, 4, 2, 4, 0, 2, 1, 4, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 2, 3, 2, 3, 0, 1, 2, 2, 1, 4, 2, 3, 3, 4, 1, 1, 3, 1, 4, 2, 0, 2, 4, 4, 1, 3, 2, 0, 4, 1, 4, 4, 4, 4, 4, 4, 4, 0, 2, 3, 3, 3, 0, 0, 3, 4, 0, 3, 3, 2, 1, 0, 2, 0, 1, 2, 0, 0, 3, 4, 1, 1, 0, 1, 2, 3, 0, 3, 1, 4, 3, 4, 1, 2, 0, 0, 1, 0, 1, 4, 2, 2, 0, 4, 3, 2, 3, 4, 1, 4, 1, 1, 4, 2, 4, 4, 2, 4, 2, 2, 4, 4, 1, 3, 4, 4, 2, 4, 3, 1, 4, 1, 4, 0, 0, 4, 3, 0, 0, 1, 3, 1, 4, 0, 2, 0, 3, 1, 2, 2, 1, 0, 1, 4, 1, 0, 3, 4, 1, 3, 2, 3, 4, 1, 1, 4, 4, 0, 2, 1, 4, 4, 2, 0, 3, 0, 4] pubkeycol1569 = [1, 4, 0, 1, 2, 4, 0, 1, 2, 4, 4, 3, 1, 4, 3, 1, 3, 2, 2, 2, 2, 4, 0, 3, 0, 1, 1, 2, 1, 2, 1, 4, 1, 1, 4, 3, 1, 2, 1, 1, 0, 0, 4, 4, 1, 3, 1, 4, 4, 1, 2, 1, 0, 2, 1, 3, 4, 0, 0, 2, 4, 0, 3, 3, 3, 1, 4, 1, 2, 3, 2, 1, 0, 4, 2, 1, 4, 3, 0, 1, 2, 1, 1, 1, 4, 1, 1, 2, 1, 3, 1, 0, 4, 1, 1, 1, 0, 3, 4, 2, 3, 3, 4, 4, 2, 2, 2, 0, 1, 0, 4, 1, 1, 4, 3, 0, 2, 2, 4, 3, 3, 4, 3, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 2, 2, 3, 1, 2, 3, 1, 1, 2, 4, 2, 4, 2, 2, 1, 4, 2, 4, 4, 1, 2, 1, 1, 2, 3, 1, 4, 1, 1, 3, 2, 2, 2, 1, 3, 0, 1, 2, 4, 4, 1, 4, 4, 1, 1, 1, 0, 3, 4, 0, 0, 4, 1, 2, 4, 3, 0, 3, 4, 4, 0, 4, 4, 0, 3, 1, 0, 1, 1, 2, 2, 3, 3, 1, 3, 0, 2, 4, 0, 3, 3, 2, 4, 4, 1, 3, 0, 2, 4, 1, 0, 2, 1, 1, 3, 4, 3, 2, 0, 3, 4, 2, 1, 3, 2, 4, 3, 1, 2, 0, 1, 3, 2, 2, 0, 3, 2, 3, 1, 4, 4, 4, 4, 2, 1, 0, 0, 1, 3, 2, 2, 2, 0, 1, 4, 1, 2, 2, 3, 3, 3, 2, 2, 0, 1, 3, 0, 1, 4, 1, 3, 1, 0, 2, 0, 0, 3, 1, 4, 4, 2, 3, 3, 4, 0, 1, 3, 4, 1, 1, 0, 3, 3, 1, 2, 4, 2, 4, 1, 0, 4, 3, 4, 3, 3, 3, 1, 3, 4, 1, 1, 4, 3, 0, 2, 3, 4, 4, 3, 0, 1, 0, 3, 1, 0, 1, 0, 0, 4, 0, 4, 0, 1, 2, 4, 0, 2, 1, 2, 0, 1, 4, 3, 2, 1, 3, 3, 3, 4, 3, 2, 2, 4, 1, 3, 0, 1, 3, 3, 1, 0, 1, 0, 3, 2, 1, 1, 2, 1, 4, 1, 0, 1, 1, 3, 4, 2, 2, 2, 1, 1, 0, 4, 0, 3, 3] pubkeycol1570 = [4, 2, 2, 0, 0, 3, 2, 3, 4, 2, 4, 3, 0, 0, 0, 4, 1, 0, 0, 2, 2, 2, 1, 4, 3, 0, 4, 4, 1, 0, 4, 1, 3, 3, 0, 0, 4, 1, 1, 2, 1, 2, 0, 2, 4, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 4, 3, 2, 1, 0, 4, 1, 4, 4, 2, 1, 1, 0, 2, 3, 4, 0, 3, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 3, 3, 0, 3, 1, 0, 2, 4, 2, 4, 2, 1, 1, 1, 0, 0, 3, 3, 4, 0, 3, 3, 3, 1, 2, 1, 4, 0, 4, 1, 4, 0, 3, 2, 0, 4, 4, 0, 2, 3, 3, 3, 4, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 4, 0, 1, 4, 4, 0, 3, 4, 2, 2, 2, 0, 2, 3, 0, 3, 1, 4, 0, 4, 2, 1, 4, 1, 1, 2, 2, 3, 0, 4, 3, 1, 0, 4, 3, 4, 2, 1, 2, 3, 3, 4, 0, 4, 1, 1, 2, 1, 2, 0, 0, 2, 2, 4, 0, 0, 0, 1, 3, 3, 1, 0, 0, 1, 3, 4, 2, 4, 4, 1, 1, 3, 3, 0, 3, 0, 1, 1, 1, 1, 0, 3, 0, 4, 3, 4, 0, 4, 3, 0, 0, 0, 1, 2, 1, 3, 3, 2, 3, 4, 1, 1, 0, 0, 2, 2, 3, 0, 0, 0, 1, 1, 4, 4, 4, 2, 4, 1, 2, 0, 3, 1, 3, 4, 0, 3, 1, 0, 0, 4, 3, 3, 0, 4, 2, 3, 0, 1, 4, 4, 3, 4, 4, 0, 2, 3, 2, 2, 3, 1, 3, 1, 3, 0, 0, 0, 4, 1, 2, 1, 2, 1, 1, 0, 3, 1, 4, 2, 3, 0, 1, 1, 2, 3, 2, 1, 3, 0, 3, 2, 4, 4, 4, 4, 3, 3, 4, 0, 3, 4, 3, 4, 4, 0, 2, 4, 0, 1, 3, 4, 3, 0, 3, 1, 2, 1, 0, 0, 3, 3, 1, 0, 2, 4, 0, 0, 1, 3, 1, 2, 2, 4, 2, 3, 2, 2, 0, 0, 1, 0, 4, 0, 3, 0, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 4, 3, 0, 3, 2, 0, 1, 3, 1, 3, 2, 3, 2, 4, 3, 0, 4] pubkeycol1571 = [1, 1, 4, 1, 2, 0, 4, 0, 1, 4, 2, 0, 2, 1, 4, 1, 0, 0, 3, 0, 0, 4, 3, 4, 1, 0, 2, 4, 3, 4, 1, 1, 4, 2, 3, 0, 2, 0, 0, 3, 0, 2, 1, 2, 4, 3, 4, 3, 1, 2, 0, 1, 2, 2, 1, 1, 2, 3, 0, 3, 0, 1, 2, 2, 3, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 4, 1, 4, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 4, 4, 4, 1, 4, 2, 0, 3, 2, 1, 4, 3, 0, 1, 3, 2, 1, 0, 4, 2, 2, 1, 4, 4, 3, 4, 1, 3, 1, 3, 1, 4, 2, 4, 4, 2, 4, 0, 0, 3, 1, 4, 4, 1, 1, 1, 4, 3, 1, 3, 3, 2, 0, 4, 3, 2, 2, 3, 4, 1, 3, 2, 3, 0, 1, 1, 0, 2, 3, 3, 1, 4, 0, 3, 1, 0, 0, 0, 1, 4, 1, 0, 4, 3, 3, 3, 4, 0, 1, 4, 3, 2, 0, 0, 0, 0, 4, 4, 3, 3, 0, 3, 3, 2, 4, 3, 0, 1, 0, 1, 2, 4, 1, 2, 1, 0, 3, 3, 2, 1, 4, 1, 3, 3, 2, 1, 2, 0, 1, 3, 4, 4, 3, 2, 4, 0, 1, 3, 2, 0, 2, 0, 1, 4, 0, 2, 3, 0, 0, 2, 1, 4, 3, 1, 0, 2, 0, 2, 3, 0, 4, 2, 2, 3, 1, 1, 4, 0, 4, 0, 4, 0, 3, 2, 4, 3, 3, 4, 4, 2, 0, 3, 3, 4, 0, 4, 4, 3, 2, 0, 2, 2, 1, 1, 0, 0, 4, 0, 2, 4, 3, 4, 0, 1, 0, 1, 4, 4, 1, 3, 3, 3, 2, 3, 1, 1, 4, 3, 4, 4, 0, 2, 2, 0, 3, 4, 1, 1, 0, 4, 0, 1, 0, 2, 4, 4, 3, 2, 3, 0, 2, 4, 2, 0, 0, 3, 1, 0, 4, 0, 0, 1, 1, 4, 4, 1, 2, 2, 1, 4, 3, 2, 3, 1, 3, 0, 4, 4, 3, 1, 1, 3, 4, 0, 0, 0, 1, 3, 3, 0, 2, 0, 3, 3, 4, 4, 4, 4, 3, 3, 2, 0, 2, 4, 4, 2, 1, 2, 4, 0, 3, 2, 1, 4, 0, 0, 4, 0, 2, 2, 0] pubkeycol1572 = [3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 2, 0, 4, 1, 1, 2, 3, 4, 0, 2, 1, 4, 2, 0, 0, 3, 0, 0, 1, 2, 3, 3, 4, 4, 3, 2, 4, 3, 0, 3, 4, 3, 3, 2, 3, 2, 4, 0, 1, 3, 2, 0, 1, 3, 1, 4, 2, 2, 4, 3, 4, 4, 1, 0, 0, 2, 1, 1, 3, 0, 2, 1, 2, 4, 3, 1, 3, 4, 4, 1, 1, 0, 2, 1, 2, 2, 4, 1, 0, 3, 0, 3, 3, 4, 3, 1, 3, 1, 3, 4, 2, 0, 4, 3, 1, 3, 3, 1, 0, 3, 0, 3, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 4, 4, 0, 0, 3, 2, 2, 3, 4, 1, 3, 2, 4, 0, 3, 1, 0, 0, 2, 0, 4, 2, 2, 3, 4, 0, 3, 1, 0, 3, 2, 0, 3, 3, 4, 3, 0, 3, 0, 1, 2, 1, 3, 4, 3, 3, 3, 0, 1, 0, 4, 2, 1, 4, 0, 2, 2, 4, 3, 2, 1, 1, 2, 3, 1, 3, 3, 4, 1, 4, 3, 0, 2, 3, 3, 0, 3, 1, 4, 2, 0, 0, 3, 2, 1, 2, 1, 3, 3, 1, 0, 0, 4, 0, 1, 2, 3, 1, 3, 2, 3, 3, 3, 0, 4, 2, 2, 0, 0, 3, 2, 4, 2, 3, 2, 1, 0, 2, 1, 1, 2, 2, 1, 4, 1, 3, 3, 4, 0, 4, 4, 2, 1, 0, 4, 1, 0, 0, 0, 0, 4, 3, 4, 3, 1, 1, 4, 1, 3, 0, 2, 4, 4, 3, 4, 3, 0, 1, 2, 2, 2, 3, 0, 1, 3, 3, 3, 4, 2, 4, 4, 3, 2, 0, 1, 0, 0, 0, 0, 4, 0, 1, 1, 4, 0, 2, 2, 0, 2, 1, 3, 4, 2, 4, 3, 3, 0, 4, 3, 2, 2, 1, 3, 2, 2, 2, 4, 4, 3, 3, 1, 3, 1, 1, 2, 3, 1, 3, 2, 1, 3, 3, 2, 3, 2, 0, 3, 3, 2, 1, 3, 0, 2, 1, 4, 2, 2, 1, 2, 1, 1, 3, 4, 3, 1, 4, 2, 3, 0, 2, 0, 3, 0, 3, 4, 2, 1, 0, 3, 2, 2, 1, 1, 0, 2, 4, 4, 3, 4, 0, 1, 3, 3, 2, 1, 1, 3, 3] pubkeycol1573 = [3, 1, 3, 3, 4, 3, 2, 3, 0, 2, 4, 2, 2, 2, 1, 0, 0, 1, 0, 1, 3, 2, 4, 2, 4, 2, 4, 4, 1, 2, 1, 4, 1, 2, 1, 3, 2, 3, 3, 2, 1, 1, 3, 4, 2, 1, 0, 1, 2, 2, 1, 3, 1, 4, 2, 0, 1, 3, 1, 0, 4, 0, 3, 1, 4, 4, 0, 3, 0, 1, 3, 1, 0, 2, 2, 0, 2, 3, 0, 1, 3, 3, 2, 4, 1, 3, 3, 0, 3, 0, 1, 4, 0, 0, 0, 1, 3, 4, 3, 3, 1, 3, 3, 1, 3, 1, 0, 0, 3, 3, 4, 4, 2, 0, 1, 3, 2, 4, 1, 1, 4, 2, 1, 2, 3, 0, 3, 1, 2, 1, 0, 0, 4, 1, 1, 0, 1, 4, 2, 3, 3, 3, 0, 0, 0, 0, 4, 0, 4, 4, 1, 0, 4, 0, 4, 2, 3, 1, 4, 0, 4, 0, 3, 3, 1, 2, 3, 2, 4, 3, 0, 3, 4, 3, 1, 1, 3, 2, 3, 4, 4, 2, 0, 4, 1, 4, 3, 3, 2, 3, 0, 1, 2, 2, 2, 3, 4, 1, 0, 3, 4, 3, 2, 2, 2, 4, 1, 2, 0, 4, 4, 3, 0, 4, 2, 0, 3, 1, 2, 4, 0, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 4, 0, 0, 1, 1, 0, 0, 2, 0, 4, 0, 4, 4, 4, 3, 3, 2, 2, 2, 0, 0, 3, 3, 0, 3, 1, 4, 3, 2, 0, 3, 0, 1, 4, 4, 1, 4, 3, 3, 0, 2, 4, 0, 4, 3, 2, 0, 3, 3, 4, 4, 3, 1, 1, 3, 3, 3, 1, 3, 2, 2, 3, 0, 4, 0, 4, 4, 3, 1, 1, 3, 4, 0, 1, 0, 0, 2, 2, 1, 0, 4, 0, 4, 2, 0, 0, 4, 0, 3, 4, 1, 3, 2, 3, 0, 0, 0, 0, 4, 4, 3, 4, 3, 2, 4, 4, 0, 2, 2, 0, 4, 1, 2, 0, 4, 2, 2, 1, 3, 2, 3, 1, 4, 2, 1, 0, 1, 4, 2, 4, 4, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 4, 2, 0, 4, 2, 4, 2, 4, 1, 3, 0, 0, 1, 0, 4, 4, 2, 4, 3, 2, 1, 2, 4, 2, 0, 0, 1, 4] pubkeycol1574 = [2, 2, 1, 1, 3, 3, 0, 3, 4, 2, 4, 0, 4, 0, 0, 1, 0, 3, 0, 4, 2, 3, 2, 3, 1, 3, 4, 0, 3, 1, 3, 4, 1, 2, 3, 1, 1, 3, 2, 4, 4, 4, 3, 1, 4, 2, 4, 4, 1, 3, 2, 4, 3, 2, 2, 4, 3, 3, 1, 3, 3, 1, 4, 0, 4, 1, 3, 1, 2, 4, 2, 3, 2, 0, 3, 0, 0, 0, 4, 3, 0, 3, 1, 3, 1, 0, 4, 3, 3, 3, 3, 0, 1, 1, 0, 4, 0, 0, 1, 0, 3, 2, 4, 0, 3, 1, 4, 3, 4, 0, 0, 1, 3, 3, 4, 0, 1, 4, 4, 2, 0, 4, 4, 0, 4, 2, 3, 2, 4, 0, 4, 2, 1, 1, 4, 2, 1, 4, 0, 3, 2, 2, 3, 4, 0, 0, 4, 2, 4, 3, 4, 2, 0, 2, 2, 3, 1, 0, 1, 1, 1, 3, 4, 1, 4, 4, 4, 4, 3, 4, 0, 1, 1, 4, 2, 4, 1, 1, 1, 1, 0, 4, 0, 4, 4, 2, 2, 2, 4, 3, 3, 4, 3, 0, 3, 2, 4, 3, 1, 0, 4, 1, 1, 3, 0, 1, 2, 3, 2, 0, 1, 4, 1, 0, 3, 4, 1, 2, 2, 3, 3, 0, 3, 2, 1, 3, 2, 1, 4, 0, 3, 1, 3, 0, 0, 0, 0, 4, 0, 1, 4, 2, 1, 3, 1, 2, 3, 2, 4, 1, 3, 0, 0, 0, 0, 2, 4, 0, 0, 1, 2, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 0, 1, 1, 3, 1, 1, 1, 0, 3, 0, 0, 1, 0, 1, 1, 1, 1, 3, 4, 3, 1, 4, 1, 3, 2, 3, 4, 2, 1, 2, 1, 2, 1, 0, 1, 3, 0, 2, 1, 1, 1, 0, 2, 0, 3, 2, 3, 2, 3, 4, 4, 3, 1, 1, 3, 3, 2, 4, 4, 2, 4, 2, 3, 3, 2, 1, 2, 2, 0, 2, 0, 0, 4, 1, 4, 2, 0, 2, 0, 0, 3, 4, 1, 2, 0, 2, 4, 2, 0, 0, 3, 0, 0, 2, 0, 3, 4, 3, 3, 2, 1, 0, 4, 1, 0, 2, 4, 3, 1, 3, 1, 1, 3, 4, 2, 2, 4, 3, 2, 3, 3, 3, 1, 4, 2, 1, 3, 2, 4] pubkeycol1575 = [0, 0, 2, 3, 2, 4, 2, 1, 0, 1, 4, 0, 2, 4, 4, 2, 3, 2, 4, 0, 2, 1, 1, 3, 2, 0, 2, 0, 2, 3, 4, 0, 2, 3, 0, 1, 4, 0, 1, 2, 1, 1, 2, 0, 3, 3, 3, 1, 1, 0, 3, 2, 4, 0, 3, 4, 0, 4, 2, 1, 1, 4, 2, 0, 1, 4, 4, 4, 1, 3, 3, 4, 2, 4, 0, 4, 0, 4, 4, 1, 0, 0, 2, 4, 2, 4, 1, 0, 4, 3, 4, 1, 4, 0, 0, 2, 3, 0, 1, 4, 1, 2, 4, 2, 3, 2, 2, 1, 2, 2, 0, 3, 2, 0, 3, 4, 4, 2, 3, 0, 1, 4, 2, 0, 0, 1, 3, 4, 1, 2, 2, 3, 0, 3, 0, 2, 3, 3, 2, 0, 2, 1, 3, 0, 3, 2, 0, 3, 1, 3, 4, 1, 3, 4, 4, 1, 3, 2, 2, 2, 3, 3, 3, 1, 0, 4, 4, 3, 1, 2, 2, 2, 0, 3, 4, 1, 1, 0, 0, 4, 0, 3, 2, 4, 0, 3, 3, 0, 1, 4, 1, 3, 1, 3, 2, 1, 4, 2, 2, 3, 3, 2, 3, 4, 4, 0, 2, 4, 2, 0, 2, 0, 4, 1, 3, 3, 0, 3, 3, 0, 4, 2, 2, 1, 2, 3, 2, 2, 3, 4, 2, 3, 2, 3, 0, 1, 0, 2, 4, 4, 4, 3, 2, 3, 3, 2, 2, 0, 3, 2, 2, 4, 2, 0, 4, 1, 2, 3, 4, 4, 0, 3, 2, 3, 0, 2, 0, 4, 0, 2, 1, 0, 0, 4, 3, 3, 0, 4, 3, 4, 0, 3, 4, 3, 0, 2, 1, 3, 2, 2, 4, 1, 3, 1, 2, 1, 0, 2, 2, 4, 3, 1, 0, 4, 2, 3, 3, 0, 1, 1, 0, 2, 0, 4, 1, 2, 0, 1, 4, 2, 4, 0, 2, 0, 3, 0, 0, 1, 2, 3, 2, 1, 3, 1, 1, 3, 3, 4, 4, 4, 4, 2, 4, 3, 2, 2, 4, 1, 0, 0, 0, 0, 1, 4, 4, 4, 1, 2, 2, 0, 4, 1, 2, 3, 1, 1, 4, 0, 4, 1, 1, 4, 1, 4, 4, 3, 2, 4, 4, 3, 2, 4, 4, 0, 4, 3, 0, 4, 0, 4, 0, 2, 2, 1, 1, 2, 4, 3, 1, 3] pubkeycol1576 = [2, 0, 3, 2, 2, 0, 0, 2, 0, 1, 2, 0, 3, 1, 2, 1, 2, 0, 4, 4, 3, 1, 2, 0, 2, 0, 3, 3, 1, 3, 2, 4, 1, 2, 3, 1, 2, 4, 4, 1, 0, 3, 4, 0, 4, 1, 3, 4, 1, 1, 2, 2, 3, 2, 4, 1, 3, 2, 0, 2, 3, 0, 1, 2, 4, 1, 4, 3, 1, 2, 3, 4, 2, 0, 0, 1, 0, 2, 2, 4, 3, 3, 4, 2, 1, 2, 1, 0, 4, 4, 2, 4, 0, 0, 1, 4, 1, 1, 2, 0, 0, 2, 4, 1, 1, 1, 2, 1, 0, 0, 2, 3, 3, 1, 4, 3, 3, 2, 4, 0, 1, 1, 0, 3, 0, 1, 4, 1, 4, 1, 2, 3, 2, 4, 2, 3, 4, 4, 1, 4, 0, 1, 2, 1, 3, 0, 2, 4, 1, 0, 2, 2, 0, 1, 4, 0, 4, 1, 2, 1, 2, 0, 0, 2, 4, 4, 0, 1, 1, 1, 2, 1, 3, 3, 1, 0, 0, 3, 4, 1, 0, 0, 1, 2, 3, 0, 4, 4, 1, 4, 0, 0, 1, 3, 2, 3, 2, 3, 1, 4, 0, 3, 1, 0, 4, 4, 4, 1, 3, 3, 2, 0, 1, 1, 3, 0, 0, 4, 4, 2, 2, 2, 2, 1, 4, 4, 0, 2, 3, 1, 2, 1, 1, 0, 0, 0, 4, 2, 2, 3, 0, 3, 0, 2, 4, 1, 2, 3, 3, 3, 2, 0, 4, 1, 4, 2, 1, 4, 2, 0, 3, 0, 4, 4, 2, 1, 0, 4, 0, 2, 1, 3, 2, 4, 1, 1, 3, 2, 1, 2, 1, 4, 1, 0, 3, 0, 4, 4, 2, 4, 4, 3, 4, 0, 3, 3, 3, 2, 0, 3, 0, 3, 0, 1, 4, 0, 0, 1, 1, 4, 0, 1, 3, 0, 1, 4, 1, 1, 2, 0, 1, 2, 1, 1, 4, 4, 0, 2, 0, 1, 0, 3, 4, 0, 3, 4, 1, 4, 3, 4, 1, 3, 4, 1, 1, 1, 0, 3, 2, 4, 1, 1, 1, 3, 1, 2, 0, 2, 0, 2, 3, 1, 4, 2, 2, 1, 4, 3, 4, 4, 2, 4, 3, 2, 1, 0, 1, 2, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 2, 1, 1, 3, 4, 3, 4, 2, 2, 0, 3, 3] pubkeycol1577 = [1, 0, 2, 4, 2, 4, 2, 4, 1, 1, 1, 0, 3, 4, 4, 0, 3, 2, 2, 4, 1, 2, 1, 2, 1, 0, 0, 4, 1, 1, 4, 0, 2, 0, 1, 1, 3, 3, 0, 2, 1, 2, 1, 0, 3, 2, 0, 3, 2, 4, 3, 4, 1, 4, 1, 2, 4, 2, 1, 0, 1, 3, 4, 1, 0, 1, 4, 4, 4, 3, 2, 4, 4, 0, 0, 2, 3, 3, 0, 0, 3, 4, 1, 2, 4, 0, 0, 4, 0, 3, 4, 3, 1, 2, 1, 1, 4, 4, 0, 3, 0, 2, 3, 4, 0, 4, 0, 3, 0, 0, 4, 2, 2, 1, 0, 3, 0, 4, 3, 1, 1, 2, 2, 2, 4, 1, 0, 4, 1, 2, 0, 3, 3, 1, 4, 1, 4, 3, 4, 3, 3, 0, 3, 2, 0, 4, 2, 4, 2, 3, 1, 4, 3, 1, 0, 3, 4, 1, 4, 3, 1, 3, 2, 4, 4, 2, 4, 2, 3, 2, 1, 3, 2, 0, 2, 1, 2, 1, 3, 4, 0, 2, 3, 2, 0, 1, 3, 2, 1, 0, 1, 4, 3, 1, 3, 0, 3, 1, 0, 4, 1, 2, 0, 0, 3, 2, 3, 2, 4, 0, 1, 1, 4, 3, 4, 1, 3, 0, 0, 2, 3, 3, 4, 0, 3, 2, 1, 4, 2, 0, 4, 4, 3, 1, 0, 0, 0, 3, 4, 2, 2, 3, 3, 1, 1, 0, 3, 0, 0, 2, 1, 1, 0, 1, 4, 2, 3, 0, 4, 4, 3, 3, 4, 2, 0, 3, 1, 4, 1, 1, 3, 0, 2, 3, 2, 1, 4, 2, 1, 0, 3, 4, 0, 1, 2, 0, 4, 1, 2, 3, 4, 4, 1, 4, 4, 0, 4, 4, 2, 0, 1, 4, 1, 4, 2, 2, 4, 3, 3, 1, 1, 3, 4, 3, 4, 1, 3, 4, 1, 3, 1, 2, 4, 4, 1, 0, 3, 3, 4, 2, 3, 0, 4, 1, 4, 1, 3, 2, 2, 0, 2, 2, 4, 1, 0, 2, 3, 3, 2, 1, 4, 4, 2, 3, 3, 4, 3, 0, 4, 0, 2, 4, 1, 3, 0, 4, 0, 3, 3, 2, 2, 3, 2, 4, 1, 0, 3, 3, 3, 3, 3, 1, 1, 0, 4, 0, 1, 4, 0, 0, 0, 3, 0, 3, 3, 3, 1, 2, 0, 0] pubkeycol1578 = [1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 3, 4, 3, 0, 4, 3, 3, 1, 4, 4, 3, 2, 0, 2, 3, 2, 2, 3, 0, 0, 2, 2, 4, 4, 4, 2, 3, 2, 2, 4, 4, 1, 1, 1, 3, 0, 4, 2, 3, 1, 1, 1, 2, 4, 4, 4, 3, 3, 2, 3, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 4, 2, 3, 4, 0, 1, 3, 3, 4, 1, 4, 3, 0, 2, 1, 3, 1, 0, 1, 2, 1, 1, 4, 0, 3, 3, 2, 4, 0, 3, 4, 0, 2, 2, 1, 2, 4, 4, 0, 2, 4, 3, 3, 4, 1, 1, 1, 2, 1, 4, 4, 0, 1, 2, 1, 0, 1, 1, 4, 0, 0, 1, 3, 1, 4, 0, 2, 0, 1, 1, 0, 4, 0, 2, 4, 3, 1, 2, 0, 4, 2, 4, 1, 3, 3, 2, 1, 2, 4, 0, 0, 1, 0, 2, 0, 0, 4, 3, 2, 1, 2, 0, 0, 3, 2, 4, 3, 0, 3, 1, 4, 1, 2, 1, 3, 4, 0, 3, 2, 1, 0, 4, 1, 1, 1, 2, 2, 1, 2, 4, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 3, 0, 4, 2, 3, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 4, 3, 1, 2, 3, 1, 2, 2, 3, 0, 0, 3, 2, 2, 3, 2, 2, 3, 4, 4, 0, 2, 0, 1, 2, 3, 2, 4, 3, 2, 2, 1, 3, 0, 1, 0, 3, 3, 4, 1, 2, 0, 4, 3, 0, 1, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 1, 4, 3, 3, 3, 2, 3, 4, 1, 1, 2, 4, 0, 4, 0, 3, 1, 3, 0, 1, 0, 0, 3, 1, 0, 4, 4, 0, 3, 2, 0, 2, 0, 0, 1, 0, 4, 4, 1, 0, 1, 2, 3, 4, 4, 1, 1, 3, 2, 4, 4, 4, 3, 3, 4, 3, 4, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 4, 3, 4, 2, 0, 3, 1, 2, 4, 2, 1, 0, 1, 2, 4, 4, 1, 4, 4, 0, 0, 0, 2, 2, 4, 3, 4, 2, 4, 3, 1, 3] pubkeycol1579 = [1, 2, 2, 4, 4, 2, 1, 4, 1, 3, 1, 0, 1, 2, 2, 1, 4, 4, 3, 0, 2, 2, 0, 4, 1, 3, 2, 1, 4, 0, 0, 0, 1, 0, 2, 1, 1, 2, 4, 0, 4, 0, 0, 0, 3, 0, 4, 4, 3, 1, 4, 3, 1, 2, 4, 3, 2, 0, 4, 0, 3, 2, 1, 4, 4, 1, 1, 4, 1, 0, 0, 2, 1, 4, 1, 3, 1, 4, 1, 0, 4, 3, 1, 3, 4, 4, 4, 2, 2, 0, 0, 0, 4, 0, 0, 2, 2, 4, 4, 0, 3, 2, 3, 2, 2, 0, 4, 1, 4, 2, 1, 3, 0, 2, 4, 2, 3, 4, 3, 3, 3, 1, 2, 1, 1, 4, 1, 2, 4, 3, 3, 4, 1, 1, 4, 2, 1, 4, 3, 4, 1, 4, 4, 4, 2, 2, 3, 2, 4, 3, 2, 4, 0, 0, 3, 1, 2, 1, 1, 1, 4, 1, 0, 0, 0, 1, 0, 4, 2, 2, 4, 3, 2, 2, 0, 0, 1, 0, 0, 0, 1, 4, 4, 0, 1, 0, 3, 4, 3, 4, 3, 4, 3, 2, 2, 4, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 4, 3, 0, 0, 2, 0, 2, 2, 3, 3, 2, 2, 4, 2, 0, 2, 4, 3, 2, 0, 1, 4, 0, 3, 1, 2, 2, 3, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 4, 2, 3, 1, 4, 1, 1, 3, 2, 1, 4, 2, 3, 4, 4, 2, 0, 3, 1, 2, 4, 3, 2, 1, 4, 0, 0, 3, 3, 4, 0, 3, 4, 4, 2, 3, 3, 0, 2, 2, 1, 0, 0, 4, 4, 0, 1, 4, 1, 2, 1, 4, 0, 2, 4, 0, 3, 3, 3, 4, 1, 3, 0, 2, 1, 0, 0, 1, 0, 2, 4, 4, 4, 2, 0, 1, 4, 2, 0, 1, 2, 4, 3, 1, 1, 3, 4, 1, 2, 4, 0, 2, 3, 3, 1, 0, 0, 4, 2, 4, 0, 3, 3, 1, 0, 4, 2, 0, 2, 1, 2, 3, 1, 4, 3, 3, 0, 2, 1, 1, 0, 4, 3, 3, 4, 4, 4, 4, 0, 0, 3, 0, 0, 0, 3, 3, 2, 1, 2, 3, 0, 1, 0, 0, 0, 4, 2, 0, 0, 1, 3, 1, 2] pubkeycol1580 = [4, 2, 1, 2, 4, 1, 4, 2, 4, 2, 4, 0, 0, 4, 3, 4, 2, 1, 2, 4, 0, 4, 3, 4, 1, 2, 2, 1, 4, 1, 1, 1, 2, 4, 2, 4, 2, 3, 2, 0, 2, 1, 0, 2, 4, 1, 2, 3, 1, 3, 2, 0, 4, 2, 4, 3, 1, 3, 2, 1, 2, 0, 2, 1, 2, 4, 4, 0, 2, 1, 0, 4, 4, 4, 3, 4, 1, 1, 4, 1, 2, 1, 1, 4, 0, 0, 1, 1, 3, 3, 4, 1, 3, 3, 3, 3, 4, 0, 4, 3, 4, 4, 0, 2, 1, 4, 3, 0, 4, 0, 1, 3, 3, 2, 2, 2, 3, 1, 3, 0, 1, 4, 4, 0, 1, 1, 2, 3, 4, 0, 3, 2, 1, 0, 0, 2, 0, 1, 4, 0, 0, 3, 2, 1, 1, 4, 4, 3, 1, 4, 0, 3, 0, 2, 0, 0, 4, 3, 1, 4, 4, 4, 0, 1, 2, 1, 1, 0, 1, 3, 4, 0, 2, 3, 3, 3, 1, 2, 4, 0, 3, 1, 0, 1, 2, 2, 3, 2, 4, 4, 4, 1, 4, 2, 3, 4, 2, 0, 4, 1, 0, 2, 0, 1, 1, 1, 2, 4, 4, 2, 3, 0, 0, 0, 2, 4, 2, 0, 3, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 3, 4, 4, 1, 2, 3, 3, 0, 4, 0, 1, 3, 0, 0, 0, 3, 3, 4, 4, 4, 3, 1, 4, 4, 4, 4, 1, 2, 2, 3, 0, 4, 2, 2, 4, 3, 2, 1, 2, 4, 4, 0, 0, 4, 0, 2, 4, 0, 0, 0, 3, 2, 2, 2, 3, 2, 0, 0, 3, 2, 3, 2, 1, 0, 3, 2, 4, 1, 3, 0, 0, 4, 2, 4, 3, 0, 4, 4, 1, 4, 2, 3, 0, 1, 1, 0, 0, 2, 2, 1, 3, 0, 1, 1, 4, 2, 4, 2, 4, 0, 2, 4, 0, 0, 1, 3, 4, 0, 2, 2, 0, 0, 4, 4, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 1, 1, 1, 2, 2, 1, 3, 2, 0, 0, 4, 2, 3, 3, 3, 2, 3, 0, 3, 4, 4, 0, 2, 0, 0, 3, 3, 2, 1, 2, 4, 3, 3, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol1581 = [3, 4, 3, 4, 4, 3, 3, 3, 4, 2, 2, 4, 1, 3, 4, 0, 3, 1, 1, 4, 4, 1, 2, 2, 4, 1, 1, 3, 4, 3, 4, 4, 4, 3, 4, 4, 0, 3, 3, 2, 0, 4, 3, 0, 4, 4, 1, 2, 1, 0, 4, 4, 4, 0, 1, 3, 1, 3, 0, 0, 0, 0, 2, 3, 1, 1, 4, 3, 1, 0, 1, 3, 3, 3, 3, 0, 0, 3, 2, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 1, 2, 1, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 2, 1, 1, 0, 4, 3, 2, 4, 1, 4, 0, 1, 4, 2, 3, 3, 0, 1, 2, 1, 2, 4, 2, 3, 1, 4, 1, 1, 1, 0, 3, 1, 3, 1, 2, 0, 4, 3, 3, 2, 0, 4, 3, 2, 3, 4, 2, 2, 3, 2, 1, 1, 1, 3, 0, 2, 4, 4, 0, 3, 4, 0, 1, 2, 4, 2, 4, 2, 4, 0, 2, 0, 3, 0, 2, 0, 3, 3, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 4, 3, 0, 3, 2, 2, 3, 1, 4, 1, 4, 1, 1, 4, 1, 1, 2, 1, 0, 3, 0, 1, 3, 0, 0, 4, 2, 3, 1, 0, 4, 2, 4, 2, 1, 2, 2, 4, 4, 4, 2, 1, 3, 3, 0, 4, 1, 1, 0, 0, 2, 4, 0, 0, 1, 1, 0, 1, 4, 3, 3, 2, 1, 2, 2, 0, 3, 2, 1, 1, 4, 2, 0, 4, 3, 2, 3, 4, 0, 1, 4, 1, 0, 1, 1, 3, 4, 3, 4, 2, 1, 2, 4, 0, 3, 0, 2, 4, 4, 2, 0, 1, 0, 4, 0, 3, 2, 1, 4, 1, 4, 0, 1, 4, 1, 1, 1, 0, 4, 0, 1, 3, 4, 4, 4, 1, 1, 4, 3, 2, 2, 2, 2, 1, 4, 3, 1, 3, 3, 3, 0, 3, 3, 3, 4, 2, 4, 3, 4, 0, 1, 3, 4, 2, 0, 0, 0, 3, 0, 0, 1, 3, 2, 3, 3, 0, 3, 0, 4, 0, 0, 4, 4, 1, 4, 1, 3, 4, 4, 3, 4, 3, 1, 1, 3, 4, 0, 0, 0, 2, 1, 0, 1, 4, 0, 1, 3, 1, 2, 0, 2, 0, 1, 0, 2] pubkeycol1582 = [4, 1, 3, 4, 1, 4, 1, 4, 3, 1, 4, 1, 3, 0, 3, 3, 1, 3, 4, 2, 2, 1, 0, 0, 0, 3, 2, 2, 1, 1, 2, 3, 4, 0, 3, 0, 0, 0, 3, 0, 4, 2, 2, 4, 0, 0, 0, 4, 0, 0, 1, 4, 2, 3, 4, 1, 2, 0, 2, 4, 0, 3, 4, 2, 4, 4, 0, 3, 1, 4, 3, 4, 0, 4, 0, 1, 0, 3, 2, 4, 1, 2, 0, 2, 1, 2, 4, 0, 1, 3, 1, 1, 1, 3, 3, 1, 3, 4, 4, 0, 1, 1, 4, 2, 1, 1, 0, 0, 3, 2, 1, 3, 0, 2, 2, 4, 4, 0, 3, 3, 0, 0, 2, 2, 0, 3, 1, 2, 0, 0, 3, 3, 4, 2, 3, 0, 0, 1, 4, 1, 3, 2, 4, 2, 0, 2, 4, 1, 2, 4, 2, 4, 0, 2, 1, 3, 3, 2, 4, 0, 1, 2, 0, 2, 3, 2, 4, 2, 2, 1, 0, 3, 4, 2, 1, 0, 4, 2, 2, 3, 1, 0, 1, 4, 1, 2, 3, 4, 4, 3, 4, 1, 2, 4, 3, 4, 2, 2, 1, 0, 2, 2, 1, 4, 0, 1, 1, 2, 0, 3, 0, 0, 4, 0, 4, 2, 4, 3, 4, 4, 2, 3, 2, 1, 1, 1, 4, 4, 3, 4, 1, 4, 0, 0, 1, 0, 1, 4, 1, 2, 1, 0, 1, 0, 4, 1, 4, 3, 2, 3, 4, 1, 0, 3, 4, 3, 0, 2, 3, 1, 4, 4, 3, 3, 2, 3, 0, 0, 2, 0, 3, 4, 0, 0, 4, 4, 2, 1, 4, 2, 3, 1, 1, 1, 1, 2, 2, 3, 0, 2, 2, 4, 2, 0, 4, 0, 1, 0, 1, 3, 1, 0, 0, 4, 3, 0, 2, 0, 4, 4, 3, 4, 3, 2, 2, 4, 3, 4, 4, 1, 2, 1, 2, 2, 4, 2, 2, 1, 3, 2, 4, 4, 1, 0, 3, 0, 0, 2, 2, 3, 3, 0, 1, 4, 2, 4, 1, 2, 1, 4, 0, 4, 3, 3, 1, 2, 0, 1, 2, 1, 1, 1, 4, 0, 4, 3, 3, 4, 0, 4, 1, 1, 2, 4, 4, 2, 0, 2, 4, 1, 1, 0, 2, 0, 2, 2, 2, 3, 4, 0, 1, 4, 0, 4, 1, 2, 4, 1, 2, 2] pubkeycol1583 = [3, 1, 3, 0, 3, 2, 2, 0, 1, 1, 2, 1, 0, 2, 3, 1, 3, 0, 0, 0, 1, 4, 2, 3, 3, 2, 1, 2, 1, 4, 4, 2, 1, 3, 0, 3, 1, 0, 0, 0, 1, 2, 0, 2, 3, 4, 1, 0, 0, 2, 1, 3, 4, 2, 2, 2, 1, 3, 2, 4, 2, 3, 0, 2, 1, 0, 4, 1, 0, 4, 1, 0, 4, 1, 2, 0, 3, 3, 4, 3, 3, 3, 2, 4, 0, 0, 1, 0, 4, 2, 0, 1, 1, 0, 3, 3, 4, 2, 0, 3, 4, 3, 0, 3, 1, 2, 3, 4, 4, 1, 1, 2, 3, 0, 3, 3, 0, 3, 4, 0, 4, 3, 4, 4, 3, 0, 2, 1, 4, 1, 4, 2, 4, 4, 3, 3, 2, 3, 2, 3, 3, 1, 2, 1, 3, 2, 3, 0, 2, 3, 4, 2, 3, 1, 1, 1, 1, 0, 4, 2, 0, 1, 3, 3, 4, 1, 3, 3, 0, 2, 2, 3, 0, 4, 3, 0, 0, 1, 4, 4, 1, 2, 2, 0, 4, 3, 0, 3, 4, 4, 4, 3, 3, 0, 0, 4, 0, 1, 3, 0, 4, 3, 2, 2, 4, 3, 2, 4, 3, 4, 2, 2, 4, 2, 2, 1, 1, 4, 0, 3, 0, 0, 1, 4, 4, 2, 3, 2, 4, 3, 0, 3, 0, 0, 3, 4, 1, 4, 1, 4, 3, 1, 2, 1, 0, 1, 3, 4, 2, 1, 2, 1, 4, 2, 4, 2, 0, 2, 0, 4, 1, 0, 2, 4, 3, 2, 1, 0, 2, 4, 2, 2, 3, 3, 3, 4, 3, 2, 2, 1, 1, 4, 4, 0, 4, 1, 0, 3, 1, 2, 4, 1, 0, 0, 1, 4, 3, 0, 0, 3, 3, 0, 0, 4, 4, 2, 1, 3, 3, 2, 4, 4, 0, 2, 0, 2, 2, 3, 0, 3, 0, 0, 0, 2, 4, 2, 4, 0, 0, 3, 2, 0, 2, 4, 2, 4, 4, 1, 0, 1, 1, 0, 4, 0, 4, 0, 4, 4, 1, 3, 1, 4, 4, 0, 3, 4, 0, 4, 2, 4, 1, 1, 2, 1, 0, 3, 1, 4, 3, 4, 1, 3, 0, 3, 0, 0, 3, 3, 1, 3, 3, 2, 4, 0, 4, 2, 1, 0, 3, 0, 4, 0, 1, 2, 3, 1, 1, 4, 3, 1] pubkeycol1584 = [2, 2, 0, 3, 0, 2, 2, 3, 4, 2, 0, 2, 4, 2, 2, 1, 4, 1, 2, 2, 0, 1, 1, 1, 4, 0, 0, 0, 1, 4, 2, 0, 0, 1, 4, 2, 3, 3, 0, 4, 3, 2, 3, 1, 4, 2, 4, 4, 3, 0, 3, 2, 0, 2, 3, 4, 1, 3, 2, 2, 3, 3, 1, 2, 4, 4, 4, 1, 2, 1, 3, 4, 4, 4, 1, 1, 4, 3, 3, 0, 2, 0, 4, 2, 2, 2, 1, 0, 3, 0, 4, 3, 0, 1, 1, 0, 1, 3, 1, 2, 3, 1, 4, 3, 4, 2, 0, 1, 0, 1, 4, 4, 4, 4, 0, 2, 4, 2, 1, 1, 1, 1, 3, 4, 1, 1, 4, 4, 4, 1, 2, 4, 4, 4, 1, 0, 3, 3, 4, 2, 4, 4, 0, 0, 1, 3, 4, 1, 4, 4, 2, 3, 3, 1, 2, 4, 2, 4, 1, 3, 2, 4, 2, 4, 1, 2, 3, 3, 1, 2, 4, 0, 2, 2, 4, 1, 4, 0, 4, 4, 3, 3, 3, 0, 1, 4, 3, 3, 2, 4, 2, 1, 3, 1, 1, 2, 1, 4, 4, 0, 2, 0, 1, 1, 4, 1, 2, 0, 4, 1, 0, 3, 1, 2, 2, 0, 0, 0, 4, 4, 1, 2, 4, 3, 0, 2, 4, 0, 0, 1, 1, 3, 4, 2, 2, 4, 0, 1, 2, 2, 0, 4, 4, 2, 2, 4, 1, 3, 2, 3, 0, 4, 2, 0, 2, 3, 4, 1, 4, 4, 1, 3, 1, 4, 3, 0, 2, 1, 2, 4, 0, 0, 3, 2, 2, 0, 2, 1, 3, 3, 0, 3, 3, 0, 0, 1, 3, 1, 1, 1, 0, 4, 1, 4, 0, 3, 1, 0, 1, 1, 1, 0, 4, 3, 1, 1, 0, 4, 4, 4, 2, 4, 2, 1, 0, 1, 4, 0, 2, 1, 3, 3, 2, 0, 2, 4, 0, 3, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 4, 3, 4, 1, 2, 1, 3, 2, 3, 4, 2, 1, 2, 3, 1, 2, 4, 0, 3, 4, 0, 2, 3, 0, 0, 3, 0, 0, 1, 4, 2, 2, 1, 3, 3, 4, 4, 2, 2, 4, 1, 3, 2, 4, 2, 2, 4, 4, 2, 2, 3, 2, 4, 1, 0, 0, 3, 0, 2, 2, 3, 2] pubkeycol1585 = [4, 2, 4, 0, 3, 1, 4, 4, 3, 0, 4, 3, 2, 1, 3, 4, 1, 4, 1, 0, 3, 0, 0, 0, 0, 3, 2, 3, 1, 0, 4, 3, 3, 3, 1, 0, 1, 3, 0, 4, 1, 3, 4, 3, 2, 2, 3, 1, 0, 4, 3, 2, 4, 2, 4, 1, 2, 4, 4, 0, 2, 3, 3, 3, 3, 4, 1, 0, 3, 0, 0, 1, 1, 4, 0, 4, 0, 2, 1, 1, 0, 1, 3, 4, 3, 1, 3, 3, 2, 4, 4, 2, 1, 0, 1, 3, 4, 0, 3, 1, 3, 1, 4, 4, 3, 2, 0, 1, 0, 3, 0, 3, 3, 2, 3, 2, 4, 0, 1, 1, 1, 1, 1, 0, 3, 2, 0, 2, 1, 1, 4, 1, 0, 2, 1, 4, 1, 2, 0, 4, 1, 4, 3, 1, 4, 0, 4, 4, 3, 1, 4, 1, 0, 3, 3, 3, 4, 1, 0, 4, 4, 0, 1, 0, 1, 1, 1, 4, 2, 2, 1, 1, 0, 4, 2, 1, 0, 3, 4, 3, 4, 3, 2, 1, 4, 2, 1, 1, 3, 1, 4, 1, 0, 4, 4, 3, 0, 4, 4, 2, 3, 1, 3, 2, 1, 2, 4, 0, 0, 1, 0, 1, 2, 3, 3, 2, 4, 4, 4, 1, 3, 4, 4, 3, 3, 3, 3, 4, 1, 0, 4, 0, 3, 0, 2, 4, 0, 3, 0, 0, 4, 1, 2, 1, 4, 3, 1, 3, 3, 4, 2, 4, 0, 1, 4, 3, 3, 3, 3, 0, 2, 0, 2, 1, 3, 3, 3, 1, 3, 0, 4, 4, 0, 0, 4, 2, 3, 0, 0, 0, 4, 1, 2, 0, 2, 3, 3, 3, 1, 2, 3, 3, 0, 4, 2, 1, 4, 2, 4, 4, 3, 0, 1, 2, 4, 3, 0, 1, 1, 4, 4, 3, 0, 0, 3, 0, 3, 2, 4, 3, 1, 2, 2, 3, 2, 0, 3, 1, 2, 2, 3, 1, 2, 0, 4, 4, 1, 1, 0, 1, 4, 2, 3, 0, 4, 0, 0, 4, 2, 0, 4, 2, 1, 0, 4, 0, 1, 1, 0, 0, 1, 4, 2, 2, 3, 0, 1, 1, 0, 1, 3, 1, 0, 2, 2, 4, 4, 1, 3, 4, 2, 4, 2, 3, 3, 3, 4, 2, 1, 1, 3, 3, 4, 3, 1, 4, 4, 1, 4, 3] pubkeycol1586 = [0, 2, 4, 2, 4, 0, 4, 0, 3, 1, 4, 0, 0, 4, 2, 1, 1, 3, 1, 2, 0, 1, 3, 2, 2, 0, 1, 1, 4, 0, 2, 1, 1, 2, 3, 4, 3, 1, 4, 0, 4, 3, 2, 2, 2, 1, 0, 4, 4, 2, 1, 4, 3, 3, 1, 4, 2, 2, 0, 4, 0, 0, 3, 0, 3, 0, 4, 2, 4, 2, 0, 0, 3, 4, 3, 1, 2, 0, 1, 0, 1, 3, 4, 0, 0, 1, 1, 4, 1, 3, 1, 1, 4, 4, 3, 2, 4, 0, 0, 2, 3, 0, 3, 4, 2, 3, 0, 1, 4, 0, 2, 4, 2, 1, 0, 3, 4, 2, 3, 1, 3, 3, 4, 0, 0, 0, 1, 1, 4, 1, 1, 4, 0, 2, 2, 2, 4, 4, 2, 1, 4, 4, 1, 1, 3, 1, 1, 4, 3, 0, 2, 1, 1, 4, 3, 0, 3, 2, 2, 3, 0, 3, 0, 1, 2, 3, 1, 1, 2, 2, 1, 3, 2, 2, 4, 3, 2, 4, 1, 0, 1, 3, 4, 2, 0, 2, 3, 1, 3, 2, 3, 1, 3, 1, 1, 1, 0, 4, 2, 2, 3, 1, 1, 2, 4, 0, 4, 4, 3, 4, 3, 4, 0, 4, 1, 3, 4, 4, 1, 4, 2, 2, 4, 4, 4, 0, 0, 4, 4, 1, 0, 2, 3, 0, 3, 1, 2, 4, 4, 4, 0, 2, 0, 1, 3, 4, 3, 2, 3, 0, 2, 3, 0, 1, 3, 1, 0, 1, 0, 0, 1, 2, 3, 1, 0, 1, 0, 4, 1, 0, 4, 1, 1, 2, 3, 2, 0, 3, 3, 3, 0, 4, 3, 3, 0, 0, 0, 0, 1, 4, 0, 2, 1, 0, 2, 0, 4, 4, 3, 2, 1, 2, 3, 0, 0, 1, 3, 3, 4, 0, 2, 0, 0, 0, 0, 1, 1, 0, 4, 4, 2, 4, 3, 2, 2, 2, 0, 0, 2, 3, 1, 1, 2, 1, 0, 3, 4, 0, 4, 4, 4, 2, 3, 3, 1, 4, 2, 3, 1, 4, 1, 3, 4, 2, 3, 2, 1, 2, 4, 4, 2, 4, 4, 4, 4, 4, 3, 4, 0, 1, 1, 2, 0, 4, 3, 0, 4, 2, 0, 0, 0, 3, 2, 1, 0, 4, 0, 3, 1, 2, 1, 3, 2, 1, 0, 1, 2, 2, 4, 0] pubkeycol1587 = [0, 1, 1, 1, 0, 2, 3, 1, 2, 1, 0, 1, 3, 4, 3, 4, 2, 3, 0, 4, 0, 2, 1, 0, 1, 4, 2, 0, 3, 0, 0, 2, 1, 4, 2, 3, 1, 2, 3, 4, 3, 1, 0, 1, 2, 3, 2, 1, 1, 3, 1, 4, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 3, 2, 1, 2, 3, 3, 4, 0, 2, 2, 0, 0, 0, 4, 4, 1, 1, 4, 0, 1, 2, 1, 0, 0, 3, 4, 0, 1, 4, 0, 2, 3, 2, 0, 4, 4, 1, 4, 3, 1, 3, 4, 3, 3, 3, 1, 2, 2, 4, 0, 4, 4, 1, 4, 3, 3, 4, 3, 2, 3, 2, 0, 2, 4, 0, 0, 0, 4, 0, 1, 1, 1, 3, 4, 3, 4, 0, 0, 0, 4, 0, 2, 3, 2, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 3, 1, 0, 4, 3, 1, 3, 0, 0, 1, 4, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 3, 2, 4, 4, 0, 3, 4, 0, 1, 2, 4, 1, 3, 0, 3, 3, 0, 4, 3, 1, 1, 0, 3, 4, 3, 3, 0, 3, 2, 3, 4, 1, 3, 3, 4, 1, 2, 0, 3, 2, 2, 0, 0, 0, 3, 4, 4, 1, 4, 4, 4, 4, 3, 2, 3, 1, 3, 3, 0, 1, 3, 4, 0, 0, 0, 2, 4, 4, 4, 0, 1, 4, 0, 1, 4, 3, 4, 1, 3, 4, 1, 1, 2, 1, 2, 1, 3, 1, 3, 0, 0, 0, 2, 4, 0, 3, 4, 1, 1, 3, 1, 3, 2, 3, 3, 1, 3, 3, 0, 2, 3, 4, 2, 1, 1, 2, 3, 3, 4, 3, 4, 2, 3, 4, 0, 2, 4, 4, 4, 2, 3, 0, 2, 4, 1, 0, 0, 4, 1, 2, 3, 0, 1, 3, 2, 4, 3, 3, 4, 1, 1, 1, 2, 3, 1, 0, 2, 3, 4, 1, 2, 1, 2, 2, 2, 4, 4, 4, 0, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 4, 2, 2, 3, 0, 1, 1, 4, 1, 1, 2, 2, 3, 4, 3, 0, 0, 2, 0, 2, 3, 1, 1, 0, 1, 3, 2, 3, 0, 0, 4, 2, 0, 2, 3, 0, 1, 2, 2, 4, 4] pubkeycol1588 = [0, 3, 2, 1, 3, 2, 3, 4, 3, 0, 3, 4, 2, 1, 3, 0, 2, 4, 3, 1, 3, 0, 3, 0, 1, 4, 3, 0, 3, 4, 4, 2, 3, 1, 2, 2, 2, 3, 0, 3, 4, 3, 2, 4, 3, 1, 3, 0, 1, 2, 4, 2, 2, 0, 1, 4, 2, 2, 0, 0, 4, 2, 3, 3, 4, 0, 2, 1, 3, 4, 3, 1, 4, 3, 0, 1, 0, 2, 1, 0, 2, 0, 0, 4, 3, 1, 4, 2, 2, 2, 1, 0, 2, 1, 4, 4, 0, 0, 4, 3, 4, 2, 0, 4, 2, 0, 3, 1, 0, 0, 2, 0, 4, 3, 2, 3, 0, 3, 4, 4, 3, 4, 3, 4, 3, 1, 2, 4, 4, 4, 3, 4, 2, 3, 2, 1, 2, 1, 0, 0, 3, 1, 4, 2, 3, 4, 3, 0, 0, 2, 2, 3, 1, 1, 2, 3, 0, 1, 4, 3, 0, 4, 2, 2, 4, 4, 4, 3, 2, 2, 2, 0, 0, 3, 4, 2, 1, 3, 0, 4, 1, 0, 3, 4, 0, 0, 0, 1, 2, 3, 0, 4, 1, 0, 2, 0, 3, 4, 1, 0, 0, 1, 3, 4, 2, 1, 2, 1, 2, 4, 1, 3, 3, 0, 3, 3, 3, 1, 4, 3, 2, 4, 4, 1, 3, 1, 4, 0, 2, 1, 0, 2, 4, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 3, 3, 4, 1, 3, 2, 0, 4, 1, 0, 2, 0, 0, 0, 4, 1, 3, 4, 2, 2, 4, 0, 2, 4, 2, 4, 3, 4, 0, 0, 0, 0, 1, 0, 4, 3, 0, 2, 3, 0, 4, 1, 2, 1, 0, 0, 3, 2, 4, 3, 3, 3, 0, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 1, 2, 2, 3, 0, 2, 4, 1, 1, 3, 3, 4, 3, 4, 3, 0, 3, 1, 1, 0, 4, 1, 1, 4, 2, 1, 3, 3, 4, 2, 4, 4, 3, 2, 3, 2, 3, 0, 3, 4, 3, 1, 3, 1, 0, 2, 1, 1, 4, 3, 0, 3, 3, 1, 4, 0, 3, 0, 4, 0, 3, 0, 2, 3, 2, 2, 3, 2, 3, 4, 3, 3, 3, 3, 4, 4, 0, 1, 0, 4, 2, 1, 2, 3, 3, 1] pubkeycol1589 = [1, 1, 4, 1, 2, 0, 3, 0, 2, 1, 1, 4, 0, 1, 0, 4, 2, 4, 2, 3, 2, 1, 1, 4, 2, 3, 2, 1, 0, 0, 4, 2, 1, 4, 1, 0, 1, 1, 4, 3, 1, 0, 0, 0, 1, 0, 0, 3, 2, 1, 1, 1, 1, 1, 4, 2, 2, 4, 1, 1, 0, 2, 3, 0, 2, 4, 3, 2, 2, 1, 4, 3, 2, 4, 3, 3, 2, 2, 3, 2, 2, 3, 0, 3, 4, 3, 2, 1, 4, 3, 2, 2, 4, 4, 4, 4, 4, 1, 0, 3, 1, 1, 4, 0, 1, 4, 4, 1, 4, 4, 3, 3, 0, 0, 4, 0, 4, 4, 3, 2, 3, 3, 1, 4, 0, 0, 0, 0, 3, 0, 4, 0, 0, 0, 3, 0, 0, 3, 3, 0, 1, 4, 3, 0, 1, 2, 3, 1, 0, 2, 1, 1, 3, 4, 0, 4, 0, 4, 1, 4, 0, 1, 3, 0, 2, 0, 0, 0, 1, 2, 3, 0, 4, 3, 1, 3, 0, 1, 0, 0, 3, 3, 3, 0, 4, 0, 3, 1, 2, 0, 2, 3, 2, 4, 1, 4, 4, 4, 1, 4, 3, 0, 1, 1, 1, 4, 2, 2, 0, 0, 2, 4, 4, 4, 1, 3, 0, 3, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 4, 3, 3, 1, 3, 2, 4, 2, 4, 1, 4, 0, 1, 1, 3, 1, 4, 3, 0, 0, 1, 1, 4, 3, 4, 1, 1, 3, 0, 1, 4, 4, 1, 3, 2, 0, 0, 0, 3, 4, 3, 2, 4, 2, 3, 3, 0, 0, 3, 4, 0, 0, 4, 1, 3, 0, 3, 3, 2, 1, 3, 4, 3, 1, 4, 3, 0, 1, 2, 2, 2, 0, 0, 1, 4, 0, 4, 4, 3, 4, 3, 4, 1, 3, 1, 2, 4, 0, 3, 2, 2, 3, 2, 4, 4, 4, 0, 4, 1, 0, 0, 0, 3, 1, 4, 2, 3, 0, 4, 1, 1, 0, 3, 2, 3, 2, 2, 2, 1, 0, 1, 1, 3, 4, 0, 2, 3, 0, 0, 1, 2, 2, 3, 0, 3, 0, 3, 0, 1, 1, 2, 4, 4, 2, 2, 2, 1, 4, 3, 2, 3, 0, 0, 3, 3, 1, 0, 4, 1, 3, 3, 4, 2, 1, 0, 1, 2, 4, 3, 3] pubkeycol1590 = [4, 3, 4, 2, 1, 3, 4, 4, 2, 1, 0, 2, 4, 1, 2, 4, 1, 2, 4, 3, 0, 2, 2, 2, 0, 1, 1, 1, 0, 3, 4, 1, 2, 3, 0, 3, 1, 1, 2, 2, 1, 4, 1, 0, 4, 3, 2, 1, 4, 4, 4, 2, 4, 1, 3, 2, 3, 2, 2, 2, 0, 4, 0, 3, 0, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 1, 4, 0, 2, 1, 0, 0, 0, 2, 3, 0, 0, 1, 3, 4, 2, 0, 1, 0, 4, 0, 1, 4, 1, 2, 1, 1, 4, 3, 0, 3, 0, 3, 2, 1, 3, 4, 4, 2, 3, 3, 1, 0, 1, 2, 2, 4, 4, 2, 4, 3, 2, 3, 4, 2, 3, 4, 0, 3, 0, 3, 4, 3, 3, 4, 2, 0, 4, 2, 0, 3, 3, 2, 3, 1, 2, 3, 4, 2, 3, 4, 1, 4, 3, 2, 4, 3, 3, 2, 1, 0, 3, 4, 0, 0, 0, 1, 2, 2, 0, 0, 3, 0, 2, 3, 3, 1, 1, 0, 3, 0, 2, 2, 0, 2, 4, 2, 1, 1, 4, 1, 2, 4, 0, 3, 0, 1, 0, 3, 2, 3, 2, 4, 2, 1, 3, 3, 0, 2, 1, 0, 1, 0, 2, 2, 0, 3, 4, 2, 3, 4, 2, 0, 2, 3, 3, 2, 0, 2, 0, 3, 2, 1, 3, 0, 0, 0, 1, 4, 2, 4, 0, 4, 0, 0, 1, 2, 3, 3, 2, 3, 4, 0, 4, 1, 0, 1, 1, 1, 3, 1, 4, 1, 4, 4, 0, 0, 0, 2, 0, 0, 3, 4, 0, 1, 2, 4, 4, 1, 1, 3, 2, 2, 2, 4, 2, 0, 4, 0, 2, 1, 0, 1, 1, 4, 0, 0, 2, 2, 3, 0, 0, 2, 3, 0, 1, 4, 3, 0, 0, 2, 0, 0, 1, 4, 1, 2, 3, 2, 2, 4, 3, 2, 2, 1, 3, 4, 1, 1, 0, 1, 4, 1, 2, 2, 0, 0, 1, 0, 3, 4, 1, 2, 2, 0, 1, 4, 3, 1, 4, 1, 3, 2, 3, 1, 2, 0, 4, 2, 4, 0, 2, 0, 1, 4, 1, 2, 0, 1, 0, 2, 4, 2, 3, 0, 0, 2, 4, 3, 1, 3, 4, 2, 4, 1, 4, 0, 4, 1, 2, 2, 4, 1, 0, 2] pubkeycol1591 = [0, 3, 0, 1, 2, 4, 1, 0, 1, 2, 2, 4, 3, 1, 3, 3, 2, 3, 2, 1, 4, 0, 1, 3, 0, 0, 4, 1, 0, 1, 3, 4, 2, 0, 1, 1, 2, 3, 2, 4, 1, 3, 1, 2, 3, 4, 0, 4, 2, 1, 0, 0, 2, 2, 4, 2, 0, 4, 1, 3, 0, 2, 2, 2, 2, 4, 1, 3, 0, 2, 3, 4, 3, 2, 3, 3, 1, 2, 2, 2, 1, 2, 1, 3, 1, 4, 2, 1, 2, 4, 3, 3, 4, 1, 2, 4, 3, 3, 0, 1, 3, 2, 1, 2, 0, 3, 4, 1, 4, 1, 3, 0, 1, 3, 2, 4, 4, 0, 3, 4, 3, 4, 4, 3, 3, 2, 2, 0, 4, 2, 3, 3, 4, 4, 2, 4, 3, 0, 3, 4, 1, 4, 4, 3, 0, 1, 0, 2, 1, 0, 4, 2, 0, 1, 2, 4, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 4, 1, 0, 0, 3, 2, 3, 3, 0, 3, 4, 4, 4, 2, 0, 0, 1, 1, 4, 0, 3, 0, 4, 2, 2, 0, 2, 3, 2, 3, 4, 4, 4, 1, 4, 0, 0, 0, 1, 0, 0, 1, 4, 1, 2, 4, 2, 0, 3, 1, 3, 0, 0, 2, 3, 2, 0, 3, 2, 2, 2, 4, 1, 1, 0, 0, 2, 3, 1, 2, 3, 3, 2, 0, 3, 1, 0, 2, 3, 4, 3, 4, 0, 2, 4, 0, 2, 2, 3, 0, 4, 1, 4, 0, 3, 1, 1, 3, 4, 4, 3, 4, 2, 1, 4, 1, 0, 4, 3, 1, 3, 2, 1, 0, 4, 1, 3, 2, 4, 1, 0, 4, 2, 3, 3, 4, 0, 3, 3, 0, 1, 4, 0, 0, 0, 2, 3, 0, 1, 2, 0, 0, 3, 4, 0, 1, 4, 4, 2, 0, 4, 0, 1, 1, 1, 3, 4, 2, 3, 2, 3, 1, 0, 2, 1, 2, 0, 1, 4, 1, 4, 4, 2, 4, 4, 0, 4, 4, 4, 3, 3, 3, 3, 0, 2, 0, 4, 2, 0, 3, 1, 3, 2, 0, 0, 3, 4, 4, 0, 2, 0, 1, 4, 3, 4, 4, 3, 0, 2, 3, 3, 3, 4, 0, 2, 0, 2, 4, 0, 3, 3, 4, 4, 4, 0, 2, 0, 3, 1, 1, 1] pubkeycol1592 = [3, 4, 0, 3, 3, 4, 3, 0, 4, 1, 2, 2, 3, 2, 2, 4, 3, 0, 0, 0, 2, 0, 3, 2, 2, 1, 0, 2, 1, 0, 4, 2, 4, 0, 1, 0, 3, 2, 1, 4, 1, 2, 2, 4, 0, 0, 0, 4, 1, 1, 4, 0, 3, 3, 1, 0, 3, 0, 4, 0, 2, 4, 1, 2, 4, 4, 4, 4, 4, 1, 4, 1, 3, 3, 2, 2, 1, 4, 4, 4, 4, 4, 1, 3, 2, 1, 4, 1, 3, 0, 1, 4, 0, 0, 0, 2, 1, 4, 1, 1, 0, 1, 2, 1, 0, 3, 0, 1, 2, 4, 4, 1, 1, 2, 3, 4, 3, 2, 3, 1, 2, 2, 1, 3, 4, 0, 3, 2, 3, 2, 3, 3, 0, 0, 2, 0, 4, 1, 2, 4, 4, 3, 3, 1, 1, 3, 2, 1, 2, 2, 3, 4, 3, 0, 0, 2, 4, 3, 3, 4, 2, 4, 1, 1, 3, 3, 3, 0, 4, 2, 3, 4, 3, 3, 2, 1, 1, 4, 4, 2, 0, 4, 1, 3, 0, 2, 3, 0, 3, 0, 2, 2, 3, 0, 3, 3, 2, 4, 3, 1, 0, 4, 4, 4, 3, 2, 0, 2, 3, 3, 2, 3, 3, 4, 4, 3, 1, 4, 1, 1, 1, 3, 3, 1, 2, 2, 3, 1, 4, 1, 0, 0, 1, 0, 0, 3, 2, 3, 2, 4, 1, 0, 3, 4, 3, 3, 2, 0, 1, 3, 3, 4, 0, 2, 2, 4, 4, 4, 1, 0, 3, 1, 2, 2, 3, 4, 0, 2, 1, 1, 4, 1, 2, 4, 1, 0, 3, 0, 4, 4, 3, 2, 4, 0, 2, 2, 2, 0, 4, 3, 3, 1, 4, 3, 3, 0, 0, 0, 2, 0, 0, 4, 0, 2, 2, 0, 4, 4, 0, 3, 2, 4, 4, 4, 3, 2, 2, 2, 1, 4, 2, 3, 0, 1, 1, 3, 4, 3, 2, 0, 3, 1, 4, 4, 2, 1, 0, 1, 2, 3, 0, 1, 3, 0, 2, 2, 4, 2, 2, 0, 0, 4, 4, 1, 2, 1, 0, 3, 0, 0, 2, 4, 4, 4, 3, 3, 2, 2, 3, 0, 3, 0, 1, 4, 4, 0, 2, 1, 2, 0, 1, 3, 4, 2, 3, 3, 1, 0, 0, 4, 1, 1, 2, 0, 3, 2, 4, 0, 1, 0] pubkeycol1593 = [0, 1, 3, 1, 1, 3, 3, 2, 2, 0, 0, 1, 1, 2, 4, 2, 0, 0, 0, 1, 4, 0, 0, 2, 3, 4, 0, 3, 1, 4, 2, 3, 2, 2, 1, 4, 2, 3, 3, 0, 0, 0, 3, 1, 0, 2, 0, 3, 1, 0, 2, 3, 2, 4, 4, 3, 0, 1, 0, 1, 4, 3, 2, 1, 4, 2, 2, 4, 3, 4, 1, 3, 2, 2, 3, 2, 4, 1, 4, 1, 3, 0, 1, 3, 4, 4, 2, 2, 4, 1, 3, 3, 2, 2, 0, 1, 0, 2, 0, 0, 0, 4, 4, 3, 3, 3, 1, 0, 3, 0, 4, 4, 4, 3, 1, 0, 4, 1, 4, 4, 2, 0, 3, 2, 1, 1, 4, 0, 2, 1, 2, 4, 1, 0, 4, 2, 0, 3, 3, 4, 0, 1, 2, 4, 3, 3, 1, 4, 0, 3, 4, 4, 1, 1, 2, 4, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 4, 4, 2, 1, 4, 2, 1, 4, 3, 0, 4, 3, 1, 0, 4, 0, 3, 2, 4, 0, 3, 1, 2, 0, 1, 0, 4, 1, 3, 3, 3, 1, 4, 4, 2, 0, 2, 2, 2, 0, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 3, 4, 4, 1, 0, 1, 0, 0, 2, 1, 4, 4, 0, 3, 4, 0, 2, 0, 2, 4, 2, 2, 4, 3, 2, 1, 1, 1, 2, 0, 4, 2, 2, 1, 2, 2, 3, 2, 1, 1, 1, 1, 4, 0, 1, 0, 1, 1, 1, 0, 2, 4, 0, 1, 3, 0, 0, 4, 1, 2, 2, 3, 4, 4, 2, 1, 0, 1, 4, 3, 3, 2, 1, 1, 1, 0, 1, 3, 1, 4, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 3, 2, 4, 3, 0, 4, 4, 0, 4, 2, 2, 0, 1, 3, 3, 2, 3, 2, 2, 0, 1, 0, 3, 4, 2, 4, 0, 4, 1, 3, 0, 2, 1, 0, 0, 3, 4, 0, 1, 1, 1, 0, 4, 0, 1, 2, 0, 4, 1, 3, 0, 3, 1, 1, 0, 2, 4, 4, 0, 0, 3, 2, 3, 4, 2, 0, 0, 2, 3, 4, 4, 2, 0, 0, 4, 4, 2, 2, 0, 4, 1, 2, 4, 3, 0, 2, 0, 3, 4, 4, 0] pubkeycol1594 = [3, 4, 1, 3, 3, 0, 4, 4, 1, 3, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 3, 4, 4, 2, 3, 4, 3, 3, 1, 1, 0, 0, 0, 1, 1, 4, 4, 2, 0, 2, 4, 1, 1, 1, 3, 4, 1, 4, 4, 0, 0, 4, 1, 1, 4, 1, 4, 1, 4, 0, 3, 2, 0, 0, 4, 1, 1, 4, 0, 0, 4, 0, 2, 0, 1, 3, 3, 3, 1, 3, 3, 3, 2, 3, 1, 3, 3, 2, 3, 3, 4, 3, 0, 0, 2, 4, 0, 4, 3, 4, 0, 2, 0, 3, 3, 4, 1, 1, 4, 1, 4, 3, 4, 1, 3, 1, 2, 4, 0, 2, 0, 0, 1, 3, 3, 3, 2, 2, 2, 3, 2, 3, 4, 4, 2, 2, 1, 0, 2, 0, 4, 3, 2, 4, 2, 3, 2, 2, 1, 4, 4, 4, 1, 3, 0, 4, 0, 1, 1, 3, 1, 4, 0, 0, 3, 1, 4, 3, 1, 4, 4, 4, 1, 4, 4, 4, 4, 3, 1, 2, 4, 4, 0, 0, 1, 1, 4, 2, 1, 3, 4, 0, 4, 0, 3, 4, 4, 4, 4, 4, 1, 1, 0, 3, 2, 3, 1, 2, 3, 2, 1, 4, 2, 0, 3, 2, 0, 3, 2, 4, 2, 3, 0, 2, 3, 3, 0, 0, 4, 4, 1, 2, 0, 1, 0, 3, 4, 0, 2, 1, 1, 0, 3, 1, 4, 1, 0, 1, 0, 3, 3, 1, 3, 4, 4, 1, 1, 0, 4, 0, 1, 2, 1, 2, 1, 4, 2, 3, 4, 0, 3, 0, 3, 0, 1, 0, 2, 1, 1, 0, 3, 2, 0, 0, 0, 4, 4, 1, 2, 3, 0, 4, 0, 4, 1, 3, 2, 1, 0, 1, 0, 4, 2, 4, 1, 4, 4, 2, 2, 4, 0, 4, 2, 4, 3, 2, 0, 1, 0, 1, 0, 1, 3, 0, 4, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 0, 2, 3, 2, 2, 2, 4, 3, 2, 3, 0, 4, 4, 3, 1, 1, 2, 3, 1, 1, 3, 3, 4, 3, 1, 2, 1, 2, 3, 3, 2, 0, 1, 4, 0, 2, 3, 2, 3, 3, 2, 0, 4, 1, 2, 2, 2, 3, 4, 4, 2, 0, 2, 3, 3, 3, 1, 3, 2, 3, 2, 0, 0, 1, 0] pubkeycol1595 = [2, 4, 3, 0, 2, 4, 4, 1, 3, 1, 3, 2, 1, 2, 0, 4, 4, 4, 0, 2, 2, 2, 3, 1, 2, 2, 0, 3, 3, 1, 1, 3, 0, 0, 2, 0, 2, 0, 3, 4, 3, 0, 2, 1, 0, 0, 4, 1, 2, 0, 4, 3, 1, 0, 4, 3, 3, 0, 1, 2, 4, 3, 0, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 3, 1, 3, 4, 1, 2, 4, 2, 0, 4, 0, 4, 4, 1, 0, 1, 0, 4, 2, 3, 4, 4, 4, 1, 3, 4, 0, 3, 1, 0, 0, 4, 3, 3, 2, 4, 3, 4, 1, 3, 2, 3, 0, 3, 3, 0, 0, 1, 4, 2, 1, 0, 3, 3, 3, 1, 3, 3, 3, 0, 4, 4, 4, 4, 1, 0, 0, 0, 1, 2, 0, 4, 0, 4, 0, 2, 3, 0, 4, 1, 1, 0, 0, 2, 4, 2, 3, 4, 0, 2, 3, 1, 0, 1, 3, 3, 4, 1, 1, 1, 1, 2, 3, 3, 2, 0, 4, 1, 2, 4, 2, 0, 4, 2, 0, 2, 0, 0, 3, 4, 1, 4, 4, 1, 0, 1, 1, 1, 4, 4, 2, 0, 3, 4, 4, 4, 2, 4, 4, 4, 0, 2, 4, 4, 0, 2, 2, 4, 4, 3, 2, 3, 0, 2, 3, 1, 1, 0, 4, 1, 2, 0, 3, 1, 4, 0, 0, 3, 2, 2, 3, 1, 1, 3, 1, 0, 1, 3, 1, 4, 4, 2, 4, 4, 1, 3, 2, 3, 3, 1, 1, 4, 4, 4, 1, 0, 2, 1, 3, 1, 2, 4, 2, 3, 0, 0, 0, 3, 4, 4, 0, 4, 3, 3, 0, 4, 3, 2, 1, 4, 4, 2, 0, 1, 3, 4, 3, 4, 3, 1, 4, 0, 2, 0, 1, 3, 1, 2, 4, 3, 1, 0, 1, 0, 2, 1, 3, 1, 3, 4, 4, 2, 1, 2, 4, 1, 0, 0, 0, 4, 4, 2, 3, 4, 4, 0, 4, 4, 3, 2, 2, 1, 2, 1, 4, 0, 4, 0, 1, 2, 2, 2, 1, 3, 0, 4, 1, 3, 1, 3, 4, 3, 1, 1, 1, 4, 3, 1, 3, 0, 4, 3, 2, 1, 1, 1, 4, 0, 3, 0, 2, 2, 0, 0, 2, 4, 1, 1, 3, 3, 3, 3, 0, 2, 3] pubkeycol1596 = [1, 4, 2, 0, 4, 1, 1, 1, 2, 2, 0, 4, 1, 2, 1, 2, 4, 2, 4, 2, 2, 1, 2, 1, 0, 4, 1, 0, 1, 0, 2, 1, 0, 4, 1, 1, 0, 3, 3, 0, 2, 3, 4, 4, 3, 4, 2, 2, 3, 1, 0, 3, 1, 2, 1, 0, 4, 0, 0, 2, 0, 0, 0, 4, 4, 2, 3, 1, 3, 1, 2, 3, 4, 1, 4, 4, 4, 2, 3, 4, 1, 0, 3, 4, 2, 2, 4, 0, 0, 4, 1, 2, 4, 2, 3, 0, 2, 2, 4, 3, 1, 0, 3, 2, 2, 3, 3, 3, 0, 4, 1, 0, 2, 3, 4, 1, 4, 0, 2, 3, 3, 0, 1, 2, 3, 3, 2, 4, 0, 2, 3, 1, 4, 1, 4, 4, 3, 1, 0, 0, 4, 1, 0, 0, 1, 4, 3, 4, 4, 3, 2, 4, 3, 0, 4, 1, 1, 4, 4, 2, 4, 0, 3, 0, 2, 1, 2, 1, 2, 0, 2, 3, 4, 3, 1, 3, 1, 2, 1, 3, 0, 1, 0, 4, 4, 3, 4, 4, 2, 3, 3, 3, 2, 1, 1, 4, 2, 1, 2, 3, 4, 0, 4, 2, 0, 0, 0, 2, 4, 3, 1, 1, 2, 0, 0, 4, 3, 2, 1, 4, 0, 4, 1, 4, 2, 0, 0, 1, 0, 1, 0, 1, 3, 3, 0, 3, 1, 0, 2, 1, 3, 3, 0, 0, 3, 2, 3, 1, 3, 4, 4, 2, 1, 3, 1, 3, 2, 2, 1, 2, 0, 2, 3, 1, 2, 1, 3, 3, 2, 0, 0, 1, 3, 4, 2, 4, 1, 3, 1, 2, 3, 4, 3, 3, 3, 4, 0, 4, 3, 1, 1, 4, 2, 1, 3, 1, 1, 2, 3, 4, 4, 3, 2, 3, 0, 0, 3, 1, 4, 2, 0, 3, 4, 1, 0, 4, 0, 0, 1, 0, 2, 2, 4, 2, 2, 2, 1, 2, 1, 1, 0, 4, 1, 3, 1, 4, 3, 3, 4, 4, 4, 0, 4, 0, 0, 1, 2, 4, 4, 0, 2, 2, 1, 2, 1, 3, 0, 3, 1, 1, 0, 1, 1, 0, 0, 4, 2, 3, 3, 2, 4, 1, 0, 1, 3, 0, 2, 1, 1, 1, 0, 1, 3, 3, 0, 3, 0, 0, 0, 0, 3, 4, 2, 3, 3, 4, 4, 4, 4, 2] pubkeycol1597 = [0, 1, 1, 1, 0, 3, 3, 0, 1, 0, 3, 2, 0, 3, 2, 4, 0, 1, 1, 4, 3, 3, 1, 1, 2, 0, 4, 0, 0, 2, 3, 4, 3, 1, 4, 3, 4, 4, 3, 4, 0, 1, 2, 1, 1, 1, 3, 0, 4, 2, 2, 0, 0, 3, 4, 2, 2, 4, 1, 4, 1, 4, 1, 4, 1, 3, 3, 4, 4, 4, 4, 0, 4, 0, 4, 1, 3, 1, 4, 3, 0, 3, 3, 0, 2, 4, 0, 2, 2, 4, 3, 4, 0, 4, 0, 0, 4, 0, 3, 4, 3, 2, 0, 3, 2, 0, 2, 1, 0, 1, 0, 3, 4, 4, 4, 2, 2, 4, 4, 0, 2, 2, 1, 4, 2, 1, 4, 2, 4, 4, 0, 3, 0, 4, 4, 3, 4, 2, 1, 4, 4, 0, 4, 4, 3, 3, 0, 1, 4, 2, 2, 0, 4, 2, 3, 2, 3, 1, 1, 2, 4, 3, 4, 0, 1, 3, 0, 1, 3, 2, 0, 2, 3, 3, 2, 1, 0, 1, 3, 4, 4, 4, 0, 3, 3, 2, 3, 0, 1, 3, 3, 3, 3, 4, 0, 0, 4, 2, 4, 0, 3, 2, 4, 2, 4, 1, 2, 1, 3, 4, 0, 1, 3, 1, 3, 3, 4, 3, 1, 4, 0, 0, 0, 4, 1, 4, 1, 0, 1, 4, 4, 0, 1, 2, 1, 4, 1, 1, 4, 1, 2, 3, 4, 4, 0, 4, 2, 2, 3, 0, 0, 4, 2, 2, 1, 3, 2, 2, 0, 3, 2, 2, 4, 0, 0, 3, 3, 0, 3, 3, 3, 2, 0, 3, 0, 4, 4, 0, 1, 1, 4, 1, 2, 4, 2, 2, 4, 0, 3, 0, 3, 1, 3, 0, 4, 4, 0, 0, 3, 0, 1, 2, 0, 0, 2, 2, 3, 2, 3, 0, 3, 2, 0, 2, 0, 1, 1, 0, 0, 3, 2, 2, 3, 4, 4, 4, 1, 2, 0, 1, 1, 0, 0, 3, 2, 2, 0, 2, 3, 4, 1, 0, 3, 2, 4, 2, 4, 2, 0, 2, 1, 3, 0, 1, 1, 4, 3, 1, 1, 0, 2, 0, 0, 3, 2, 2, 1, 0, 0, 0, 2, 1, 3, 4, 0, 3, 4, 1, 3, 3, 1, 2, 1, 0, 3, 0, 0, 3, 0, 0, 4, 2, 4, 3, 4, 4, 2, 4, 1, 4] pubkeycol1598 = [2, 4, 3, 0, 4, 2, 4, 4, 1, 0, 4, 4, 1, 1, 4, 2, 2, 1, 0, 3, 0, 4, 2, 1, 3, 1, 4, 3, 3, 0, 3, 2, 2, 3, 3, 0, 0, 2, 3, 2, 0, 0, 1, 1, 4, 4, 1, 4, 2, 1, 0, 3, 2, 2, 3, 0, 4, 1, 1, 0, 4, 0, 1, 3, 1, 4, 0, 4, 0, 2, 4, 4, 1, 1, 0, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 3, 1, 4, 0, 0, 0, 1, 1, 0, 4, 1, 0, 2, 2, 3, 3, 1, 0, 3, 1, 3, 2, 0, 0, 3, 2, 3, 0, 1, 4, 2, 3, 3, 2, 0, 4, 4, 2, 2, 4, 4, 2, 2, 2, 3, 2, 2, 1, 4, 3, 0, 0, 3, 2, 4, 0, 0, 2, 2, 3, 4, 4, 2, 1, 4, 4, 3, 1, 3, 3, 3, 0, 1, 4, 1, 4, 0, 4, 0, 1, 4, 0, 3, 4, 0, 0, 1, 0, 3, 4, 3, 0, 0, 1, 3, 1, 3, 1, 0, 2, 1, 3, 0, 4, 2, 4, 1, 0, 2, 2, 1, 0, 0, 2, 1, 4, 3, 0, 1, 3, 2, 3, 4, 2, 1, 0, 1, 2, 3, 4, 3, 4, 0, 4, 4, 0, 4, 4, 1, 0, 3, 2, 4, 3, 1, 3, 1, 2, 0, 0, 1, 0, 4, 1, 2, 1, 1, 4, 2, 3, 2, 4, 3, 3, 4, 0, 2, 1, 4, 1, 2, 3, 0, 2, 0, 0, 3, 2, 2, 1, 1, 1, 2, 0, 0, 0, 4, 0, 2, 4, 3, 3, 2, 2, 0, 2, 1, 1, 1, 3, 1, 4, 0, 0, 2, 0, 4, 4, 4, 1, 0, 2, 3, 2, 1, 1, 2, 1, 4, 4, 0, 3, 2, 3, 3, 1, 0, 3, 0, 4, 4, 0, 3, 4, 4, 4, 2, 0, 3, 1, 1, 2, 1, 4, 2, 4, 4, 0, 4, 4, 4, 2, 4, 3, 4, 4, 0, 3, 0, 3, 0, 1, 2, 4, 4, 0, 2, 4, 1, 0, 3, 0, 1, 4, 2, 4, 0, 2, 0, 1, 1, 3, 3, 0, 1, 0, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 0, 2, 1, 4, 0, 1, 3, 3, 4, 3, 3, 4, 2, 0, 1, 1, 2, 4, 3] pubkeycol1599 = [1, 1, 4, 2, 1, 0, 3, 1, 1, 3, 0, 2, 3, 4, 2, 4, 4, 4, 1, 4, 3, 0, 0, 2, 4, 2, 0, 3, 2, 0, 0, 1, 4, 3, 1, 4, 0, 2, 3, 1, 0, 0, 2, 4, 3, 3, 2, 2, 0, 1, 2, 1, 4, 4, 3, 4, 3, 0, 2, 2, 0, 3, 4, 0, 1, 2, 1, 4, 1, 0, 0, 1, 0, 2, 0, 2, 0, 4, 4, 3, 0, 2, 1, 2, 3, 3, 3, 4, 0, 1, 4, 3, 2, 3, 4, 1, 0, 2, 3, 4, 0, 4, 2, 4, 2, 1, 1, 4, 4, 2, 1, 0, 3, 2, 3, 2, 4, 4, 1, 2, 1, 4, 4, 4, 3, 0, 3, 2, 3, 3, 3, 4, 2, 2, 3, 0, 1, 4, 3, 0, 3, 1, 2, 4, 4, 3, 3, 1, 1, 2, 3, 4, 4, 4, 2, 0, 4, 1, 4, 1, 2, 3, 2, 2, 0, 1, 4, 1, 1, 4, 2, 3, 4, 4, 2, 3, 4, 0, 1, 4, 2, 1, 0, 1, 4, 3, 4, 2, 3, 2, 0, 1, 2, 4, 2, 2, 3, 0, 2, 4, 1, 4, 4, 4, 4, 1, 1, 1, 3, 3, 4, 0, 2, 0, 4, 0, 2, 2, 1, 0, 0, 1, 1, 3, 2, 3, 0, 3, 3, 3, 0, 4, 3, 2, 4, 0, 3, 2, 0, 3, 3, 4, 4, 3, 3, 1, 3, 3, 2, 2, 4, 3, 1, 1, 3, 4, 4, 3, 3, 0, 2, 2, 2, 1, 0, 0, 3, 0, 4, 4, 3, 0, 0, 3, 4, 2, 2, 2, 1, 1, 0, 4, 4, 1, 4, 0, 4, 3, 0, 1, 0, 1, 1, 3, 1, 1, 3, 1, 3, 4, 1, 3, 1, 3, 3, 3, 1, 4, 2, 3, 3, 3, 4, 3, 1, 2, 3, 1, 2, 4, 2, 1, 3, 1, 2, 1, 2, 1, 3, 3, 3, 0, 2, 2, 3, 3, 3, 4, 1, 2, 3, 3, 1, 2, 3, 1, 2, 1, 4, 3, 2, 3, 0, 2, 4, 2, 4, 0, 2, 4, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 4, 1, 1, 3, 3, 2, 1, 4, 2, 1, 3, 2, 4, 2, 4, 4, 3, 2, 3, 3, 3, 2, 0, 4, 4, 3, 1, 0, 0, 0] pubkeycol1600 = [3, 2, 4, 0, 3, 4, 3, 4, 4, 3, 3, 1, 2, 0, 0, 4, 1, 0, 4, 0, 0, 0, 3, 3, 3, 4, 0, 1, 1, 4, 4, 0, 1, 2, 4, 1, 0, 4, 0, 3, 2, 1, 0, 3, 1, 1, 0, 1, 3, 0, 3, 0, 1, 0, 3, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 3, 2, 0, 3, 3, 4, 3, 1, 2, 3, 4, 1, 4, 2, 1, 2, 3, 2, 2, 1, 0, 2, 2, 1, 3, 2, 4, 3, 3, 4, 0, 3, 1, 0, 1, 3, 4, 4, 4, 2, 2, 3, 4, 4, 4, 1, 4, 0, 1, 2, 0, 4, 1, 4, 1, 0, 0, 0, 0, 1, 3, 1, 1, 4, 0, 4, 0, 3, 0, 4, 2, 2, 4, 0, 1, 4, 1, 1, 1, 2, 2, 1, 0, 3, 4, 1, 2, 1, 4, 3, 3, 0, 4, 3, 1, 4, 0, 1, 3, 0, 1, 1, 1, 2, 3, 1, 4, 4, 2, 4, 4, 0, 2, 3, 4, 0, 3, 2, 4, 3, 1, 0, 4, 1, 3, 4, 4, 4, 0, 1, 3, 2, 1, 0, 3, 0, 1, 3, 3, 0, 0, 0, 1, 1, 0, 3, 0, 2, 4, 2, 0, 3, 0, 3, 0, 3, 0, 1, 2, 3, 4, 1, 2, 4, 0, 0, 0, 2, 2, 2, 4, 3, 3, 3, 4, 3, 3, 4, 0, 0, 2, 0, 1, 1, 4, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 0, 3, 2, 2, 3, 3, 1, 1, 2, 1, 0, 2, 2, 4, 3, 4, 4, 2, 4, 1, 2, 1, 2, 0, 0, 4, 4, 0, 4, 4, 3, 0, 2, 3, 1, 4, 4, 1, 4, 4, 2, 3, 3, 1, 2, 3, 2, 2, 4, 3, 4, 4, 3, 2, 3, 1, 1, 0, 1, 1, 1, 2, 4, 0, 2, 0, 1, 4, 3, 2, 4, 2, 2, 2, 3, 3, 3, 4, 3, 4, 0, 0, 0, 0, 1, 4, 0, 4, 0, 4, 1, 3, 2, 4, 1, 0, 2, 1, 0, 4, 0, 3, 0, 2, 4, 1, 4, 0, 3, 2, 3, 1, 4, 2, 3, 3, 4, 2, 2, 1, 3, 1, 0, 0, 1, 2, 3, 2, 0, 0, 3, 2, 3, 0, 4, 0, 1, 3, 3, 2] pubkeycol1601 = [0, 3, 4, 4, 0, 1, 3, 3, 2, 1, 4, 0, 2, 2, 2, 2, 3, 2, 4, 1, 0, 2, 1, 3, 2, 3, 1, 1, 4, 4, 0, 3, 4, 2, 4, 2, 1, 0, 2, 1, 4, 3, 2, 1, 3, 3, 3, 3, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 4, 3, 4, 2, 2, 0, 4, 3, 2, 3, 0, 0, 3, 3, 3, 0, 0, 2, 3, 4, 0, 3, 0, 0, 3, 0, 2, 3, 4, 4, 0, 1, 1, 2, 1, 0, 3, 4, 0, 1, 2, 4, 1, 1, 3, 1, 3, 3, 1, 1, 4, 2, 3, 1, 0, 2, 4, 0, 0, 1, 4, 0, 3, 0, 3, 1, 0, 3, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 3, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 4, 1, 4, 0, 0, 1, 3, 4, 0, 1, 4, 2, 1, 2, 2, 3, 2, 3, 1, 3, 4, 0, 1, 4, 3, 3, 0, 2, 4, 2, 1, 2, 3, 1, 3, 4, 2, 0, 2, 0, 4, 4, 2, 2, 2, 1, 0, 3, 1, 3, 1, 4, 4, 3, 1, 1, 2, 1, 3, 2, 2, 4, 3, 0, 0, 0, 1, 2, 4, 4, 4, 4, 0, 0, 1, 0, 3, 0, 2, 4, 3, 3, 1, 4, 2, 0, 3, 0, 0, 3, 0, 4, 1, 1, 2, 4, 4, 1, 1, 4, 2, 1, 1, 3, 3, 0, 2, 2, 0, 4, 3, 0, 1, 2, 4, 1, 2, 2, 0, 2, 3, 4, 2, 1, 4, 2, 1, 1, 0, 0, 4, 2, 4, 1, 3, 3, 0, 2, 3, 0, 4, 0, 4, 3, 4, 4, 2, 3, 3, 4, 2, 3, 3, 0, 4, 1, 1, 4, 1, 4, 3, 3, 1, 4, 0, 3, 2, 1, 1, 1, 3, 3, 2, 2, 3, 0, 2, 0, 0, 4, 3, 0, 3, 3, 0, 1, 2, 2, 2, 2, 0, 2, 3, 4, 1, 3, 0, 1, 1, 2, 4, 2, 4, 4, 2, 2, 2, 0, 3, 4, 0, 1, 1, 1, 3, 1, 0, 2, 0, 1, 3, 1, 2, 2, 3, 4, 2, 2, 2, 3, 4, 4, 2, 3, 1, 2, 0, 3, 2, 2, 4, 4, 1, 0, 4, 0, 1] pubkeycol1602 = [0, 0, 3, 1, 0, 0, 2, 3, 0, 4, 0, 0, 1, 3, 0, 2, 3, 2, 4, 1, 2, 0, 1, 2, 3, 0, 2, 1, 0, 0, 2, 4, 2, 3, 2, 1, 1, 3, 1, 0, 0, 2, 1, 0, 0, 4, 1, 2, 2, 1, 1, 0, 1, 4, 0, 4, 4, 4, 1, 3, 3, 3, 4, 4, 4, 4, 1, 3, 3, 2, 3, 0, 2, 1, 4, 4, 1, 2, 0, 4, 4, 2, 3, 2, 4, 0, 3, 4, 2, 4, 0, 1, 0, 3, 2, 1, 0, 3, 1, 3, 4, 3, 3, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 4, 1, 3, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 3, 2, 1, 3, 0, 0, 0, 4, 1, 0, 1, 2, 4, 3, 2, 0, 1, 0, 0, 0, 4, 3, 3, 3, 3, 2, 2, 4, 0, 0, 3, 3, 3, 0, 0, 0, 4, 3, 4, 1, 2, 1, 4, 1, 2, 3, 0, 1, 2, 1, 2, 4, 4, 3, 2, 4, 2, 4, 1, 4, 1, 4, 1, 3, 0, 4, 3, 1, 0, 2, 1, 3, 0, 1, 1, 4, 4, 1, 0, 4, 2, 4, 3, 1, 1, 4, 2, 4, 4, 4, 2, 0, 0, 4, 4, 0, 0, 1, 4, 1, 0, 3, 2, 4, 0, 0, 0, 1, 3, 3, 0, 0, 4, 3, 0, 1, 3, 2, 1, 3, 2, 1, 1, 3, 1, 1, 2, 3, 2, 4, 4, 3, 4, 1, 2, 1, 1, 4, 3, 2, 2, 4, 2, 0, 0, 2, 0, 3, 0, 1, 0, 1, 3, 0, 2, 4, 3, 1, 4, 2, 3, 2, 4, 3, 4, 1, 3, 3, 2, 3, 3, 1, 4, 0, 3, 2, 4, 3, 3, 2, 4, 3, 4, 2, 2, 3, 2, 4, 4, 4, 1, 3, 4, 2, 2, 1, 2, 2, 2, 3, 0, 0, 1, 0, 0, 2, 2, 2, 4, 3, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 1, 3, 0, 3, 1, 1, 2, 2, 3, 1, 2, 2, 1, 1, 0, 3, 2, 4, 2, 1, 4, 2, 0, 4, 1, 1, 1, 2, 0, 1, 4, 2, 0, 2, 0, 3, 0, 3, 4, 1, 4, 0, 0, 3, 3, 3, 1, 4, 4, 4, 1, 3, 1, 3] pubkeycol1603 = [4, 0, 4, 1, 3, 1, 0, 1, 1, 0, 0, 4, 1, 4, 1, 0, 3, 3, 4, 4, 0, 4, 2, 3, 3, 2, 4, 4, 4, 2, 3, 4, 1, 0, 2, 1, 1, 0, 1, 1, 4, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 4, 3, 1, 2, 4, 4, 3, 0, 1, 4, 0, 2, 1, 2, 2, 4, 0, 4, 4, 4, 2, 3, 1, 0, 3, 0, 3, 3, 3, 3, 2, 3, 4, 0, 1, 4, 4, 3, 2, 0, 2, 4, 4, 1, 2, 1, 1, 2, 4, 3, 0, 1, 2, 3, 4, 3, 4, 0, 3, 2, 0, 4, 2, 0, 3, 1, 0, 1, 4, 4, 2, 0, 3, 2, 3, 4, 1, 2, 2, 2, 1, 2, 3, 0, 0, 0, 3, 3, 2, 1, 0, 1, 0, 4, 3, 3, 1, 0, 3, 4, 0, 3, 2, 1, 4, 4, 4, 0, 4, 2, 1, 2, 4, 0, 1, 4, 0, 2, 3, 0, 3, 3, 2, 2, 0, 0, 3, 4, 3, 2, 1, 1, 0, 0, 2, 4, 1, 2, 0, 3, 4, 2, 1, 2, 3, 3, 2, 3, 0, 0, 0, 1, 4, 3, 2, 3, 3, 0, 4, 4, 2, 1, 4, 2, 3, 1, 2, 4, 0, 0, 3, 2, 1, 2, 4, 3, 4, 1, 4, 2, 1, 2, 4, 3, 2, 3, 0, 4, 4, 1, 3, 2, 4, 2, 4, 4, 0, 1, 2, 3, 4, 2, 2, 3, 1, 1, 3, 1, 2, 4, 2, 3, 2, 4, 1, 0, 0, 3, 0, 3, 0, 1, 2, 4, 2, 2, 1, 2, 0, 4, 1, 1, 1, 0, 3, 3, 4, 1, 2, 1, 3, 2, 4, 1, 4, 3, 2, 2, 1, 1, 4, 1, 4, 2, 0, 1, 2, 2, 2, 3, 1, 4, 3, 0, 2, 2, 1, 3, 0, 3, 2, 1, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 4, 4, 3, 0, 0, 4, 0, 1, 3, 2, 3, 2, 2, 4, 4, 0, 3, 1, 4, 2, 2, 0, 2, 3, 0, 0, 4, 3, 2, 0, 1, 4, 1, 2, 1, 1, 3, 1, 4, 3, 3, 0, 3, 0, 4, 1, 2, 4, 4, 0, 0, 0, 0, 4, 0, 2, 4, 1, 2, 2, 3, 3, 2, 1, 3, 0, 2] pubkeycol1604 = [1, 3, 0, 0, 4, 3, 2, 4, 4, 2, 2, 3, 1, 0, 0, 1, 1, 3, 2, 1, 0, 2, 1, 1, 0, 3, 0, 3, 4, 1, 4, 2, 3, 1, 3, 2, 4, 2, 0, 1, 4, 2, 2, 4, 4, 3, 4, 3, 2, 1, 4, 3, 3, 2, 0, 0, 4, 2, 0, 1, 2, 0, 3, 2, 4, 1, 1, 0, 2, 0, 4, 4, 1, 4, 1, 3, 3, 0, 4, 2, 4, 3, 1, 1, 3, 0, 1, 0, 1, 4, 0, 1, 1, 1, 4, 2, 2, 0, 2, 1, 0, 2, 3, 4, 0, 1, 1, 1, 2, 2, 0, 0, 3, 3, 0, 1, 4, 2, 0, 3, 0, 2, 2, 1, 2, 2, 4, 2, 2, 1, 4, 4, 0, 2, 4, 0, 4, 2, 3, 1, 4, 4, 4, 2, 2, 4, 0, 1, 1, 4, 4, 0, 1, 4, 0, 4, 2, 4, 3, 2, 1, 2, 0, 4, 4, 4, 3, 3, 0, 4, 3, 1, 0, 4, 3, 0, 2, 1, 3, 0, 4, 1, 2, 0, 3, 1, 2, 2, 2, 4, 0, 1, 1, 0, 3, 2, 4, 3, 1, 1, 2, 4, 4, 0, 1, 1, 0, 4, 1, 4, 3, 3, 0, 4, 4, 1, 0, 2, 0, 0, 3, 3, 4, 2, 1, 1, 3, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 3, 4, 2, 0, 2, 1, 2, 0, 1, 4, 0, 4, 2, 1, 3, 0, 4, 1, 1, 3, 2, 3, 0, 2, 4, 1, 4, 3, 1, 4, 2, 2, 1, 0, 0, 1, 3, 4, 3, 4, 2, 1, 3, 4, 0, 2, 3, 4, 1, 0, 1, 4, 0, 3, 0, 2, 2, 3, 0, 3, 4, 0, 3, 4, 0, 2, 0, 0, 3, 2, 4, 3, 3, 3, 4, 1, 2, 0, 3, 4, 1, 3, 0, 4, 1, 0, 4, 4, 2, 1, 3, 4, 4, 4, 2, 3, 2, 3, 4, 2, 3, 2, 2, 2, 1, 2, 2, 4, 0, 1, 3, 4, 0, 1, 1, 3, 2, 2, 3, 3, 1, 1, 0, 2, 4, 2, 0, 3, 0, 4, 2, 3, 1, 0, 3, 1, 4, 2, 1, 0, 0, 0, 4, 1, 0, 1, 1, 0, 1, 2, 3, 2, 4, 1, 4, 3, 1, 2] pubkeycol1605 = [3, 4, 3, 3, 3, 2, 1, 4, 0, 3, 2, 0, 4, 3, 4, 4, 1, 1, 0, 0, 0, 4, 3, 1, 1, 4, 1, 3, 4, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 2, 3, 4, 4, 1, 1, 2, 1, 1, 0, 3, 1, 4, 1, 0, 3, 3, 3, 2, 3, 2, 1, 1, 0, 4, 1, 3, 1, 4, 2, 3, 0, 0, 0, 0, 0, 4, 2, 3, 4, 4, 2, 3, 4, 2, 0, 1, 2, 0, 3, 4, 3, 4, 4, 3, 0, 1, 1, 1, 3, 0, 1, 0, 4, 2, 3, 3, 2, 3, 0, 2, 4, 3, 4, 2, 1, 4, 2, 0, 1, 2, 1, 0, 0, 0, 1, 3, 0, 3, 2, 1, 4, 1, 0, 0, 3, 0, 0, 4, 4, 3, 3, 3, 2, 0, 1, 4, 2, 0, 1, 4, 1, 0, 1, 4, 3, 3, 1, 0, 0, 1, 2, 2, 4, 0, 3, 1, 3, 4, 2, 1, 1, 0, 1, 1, 3, 4, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 0, 4, 1, 4, 3, 1, 4, 4, 1, 0, 4, 4, 3, 1, 3, 0, 0, 3, 3, 3, 0, 2, 3, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 3, 3, 4, 2, 4, 3, 1, 4, 4, 3, 2, 3, 4, 4, 0, 3, 3, 4, 2, 0, 1, 0, 1, 2, 4, 0, 4, 1, 3, 0, 3, 0, 2, 2, 1, 2, 4, 4, 2, 0, 0, 1, 1, 3, 0, 0, 0, 2, 1, 3, 2, 2, 4, 4, 1, 3, 2, 1, 2, 4, 4, 2, 4, 1, 3, 3, 1, 0, 0, 0, 3, 3, 3, 1, 4, 0, 2, 2, 0, 2, 3, 2, 0, 2, 4, 3, 4, 3, 1, 1, 1, 0, 0, 2, 4, 1, 4, 1, 2, 2, 1, 3, 4, 3, 3, 4, 3, 0, 4, 1, 1, 1, 3, 3, 2, 3, 0, 3, 4, 4, 1, 4, 4, 4, 1, 4, 1, 1, 3, 2, 0, 3, 2, 2, 1, 4, 1, 0, 3, 1, 3, 2, 2, 2, 3, 2, 4, 4, 1, 3, 4, 2, 1, 0, 0, 4, 0, 2, 0, 2, 2, 0, 1, 3, 4, 0, 0, 3, 1, 2, 2, 3, 1, 2, 2, 0, 0, 1, 2] pubkeycol1606 = [0, 2, 4, 4, 1, 0, 4, 0, 0, 4, 1, 2, 3, 0, 1, 3, 3, 2, 3, 3, 1, 3, 3, 0, 4, 1, 1, 1, 4, 3, 2, 2, 1, 0, 2, 4, 4, 3, 4, 2, 2, 3, 2, 0, 4, 0, 4, 2, 1, 2, 1, 0, 3, 0, 3, 0, 2, 4, 0, 4, 2, 4, 1, 0, 4, 2, 0, 2, 4, 4, 0, 4, 3, 3, 0, 1, 1, 4, 2, 1, 3, 1, 3, 2, 2, 1, 0, 3, 3, 2, 4, 4, 3, 1, 3, 2, 1, 0, 4, 4, 4, 3, 2, 4, 2, 3, 3, 2, 4, 2, 4, 0, 1, 1, 0, 1, 3, 2, 2, 2, 1, 4, 3, 2, 0, 0, 2, 4, 0, 4, 1, 2, 1, 3, 1, 3, 3, 1, 4, 3, 1, 2, 3, 1, 1, 3, 3, 1, 3, 1, 4, 2, 1, 4, 1, 3, 4, 1, 4, 0, 3, 0, 0, 2, 0, 4, 1, 1, 4, 2, 2, 0, 1, 2, 0, 0, 3, 3, 1, 4, 3, 0, 0, 2, 4, 1, 3, 4, 1, 3, 2, 0, 0, 0, 3, 4, 4, 0, 3, 1, 1, 0, 4, 2, 4, 3, 3, 0, 2, 4, 2, 4, 2, 1, 2, 0, 3, 4, 0, 4, 4, 2, 1, 1, 1, 3, 3, 4, 1, 1, 1, 2, 3, 3, 2, 3, 0, 2, 0, 2, 2, 4, 4, 3, 4, 0, 3, 1, 4, 4, 3, 1, 1, 0, 1, 3, 3, 0, 3, 2, 3, 2, 4, 0, 3, 1, 4, 3, 0, 4, 2, 3, 3, 0, 4, 2, 3, 1, 0, 0, 4, 2, 2, 4, 1, 1, 3, 3, 1, 3, 0, 4, 3, 4, 0, 2, 0, 0, 3, 2, 4, 1, 1, 0, 1, 1, 3, 4, 0, 2, 2, 2, 1, 4, 1, 0, 2, 3, 2, 1, 1, 0, 4, 1, 1, 3, 0, 4, 2, 2, 4, 2, 1, 0, 3, 4, 4, 0, 3, 3, 1, 3, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 3, 2, 2, 4, 4, 1, 4, 3, 3, 4, 0, 2, 0, 1, 1, 3, 4, 4, 3, 1, 3, 0, 3, 1, 2, 4, 4, 3, 0, 2, 3, 4, 3, 0, 1, 1, 3, 3, 0, 1, 3, 4, 1, 2, 1, 2] pubkeycol1607 = [2, 1, 1, 4, 3, 3, 1, 3, 2, 2, 3, 1, 2, 1, 4, 4, 2, 0, 0, 0, 4, 2, 4, 0, 2, 3, 4, 2, 4, 4, 1, 0, 2, 1, 4, 1, 0, 0, 3, 1, 3, 1, 3, 4, 0, 0, 4, 0, 1, 3, 2, 3, 2, 4, 0, 4, 3, 2, 1, 2, 3, 1, 2, 4, 4, 4, 0, 3, 4, 1, 0, 1, 1, 2, 2, 1, 1, 3, 1, 0, 0, 3, 0, 0, 0, 1, 0, 0, 2, 3, 4, 0, 2, 4, 3, 0, 1, 0, 0, 1, 3, 1, 2, 0, 3, 1, 2, 4, 4, 3, 3, 1, 0, 4, 3, 1, 2, 1, 3, 2, 0, 4, 0, 1, 3, 3, 0, 2, 2, 4, 4, 0, 1, 4, 0, 1, 3, 3, 4, 3, 2, 0, 4, 1, 3, 2, 3, 4, 3, 3, 2, 4, 4, 2, 4, 0, 0, 2, 4, 1, 1, 0, 2, 1, 1, 3, 2, 3, 3, 3, 2, 4, 1, 2, 3, 0, 4, 4, 4, 2, 1, 4, 0, 1, 3, 1, 3, 1, 4, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 3, 0, 4, 4, 2, 3, 4, 0, 2, 4, 0, 1, 0, 2, 4, 4, 4, 3, 0, 2, 4, 3, 1, 1, 0, 3, 2, 2, 3, 4, 0, 4, 1, 2, 1, 2, 2, 3, 4, 2, 2, 1, 1, 1, 4, 3, 3, 2, 4, 2, 0, 2, 3, 1, 1, 4, 3, 3, 4, 2, 0, 1, 4, 4, 3, 2, 2, 2, 2, 4, 0, 1, 1, 3, 0, 1, 3, 1, 1, 3, 3, 3, 0, 0, 2, 4, 3, 2, 3, 2, 1, 0, 2, 1, 2, 0, 4, 4, 4, 3, 4, 0, 2, 1, 2, 3, 2, 3, 3, 1, 4, 1, 0, 0, 3, 3, 4, 4, 3, 3, 1, 1, 2, 3, 2, 0, 2, 2, 0, 3, 3, 1, 4, 4, 1, 0, 3, 3, 1, 2, 4, 0, 4, 0, 3, 3, 4, 2, 3, 2, 1, 3, 1, 1, 1, 2, 2, 2, 3, 2, 4, 2, 0, 2, 2, 3, 2, 3, 0, 0, 2, 1, 4, 2, 0, 3, 4, 0, 1, 1, 2, 4, 4, 0, 0, 4, 1, 1, 4, 2, 0, 0, 3, 2, 2] pubkeycol1608 = [4, 1, 2, 3, 3, 4, 0, 0, 0, 1, 0, 3, 2, 1, 3, 4, 3, 1, 2, 0, 1, 0, 0, 4, 3, 2, 0, 3, 4, 3, 0, 2, 0, 3, 4, 0, 0, 4, 4, 0, 3, 4, 2, 0, 4, 0, 0, 2, 0, 3, 3, 0, 3, 1, 1, 0, 3, 3, 2, 4, 4, 1, 4, 2, 3, 3, 1, 4, 2, 1, 2, 1, 2, 4, 0, 2, 2, 4, 2, 3, 2, 2, 4, 3, 1, 3, 0, 2, 2, 2, 2, 3, 3, 0, 4, 1, 3, 2, 2, 1, 2, 2, 2, 4, 2, 0, 2, 1, 4, 4, 4, 3, 3, 4, 3, 3, 4, 1, 3, 3, 4, 2, 1, 1, 0, 1, 4, 0, 2, 3, 4, 4, 2, 2, 4, 3, 0, 3, 0, 2, 3, 3, 1, 1, 2, 4, 3, 3, 0, 4, 4, 1, 2, 0, 4, 0, 3, 0, 2, 0, 3, 2, 4, 2, 4, 3, 4, 3, 0, 4, 3, 1, 0, 1, 3, 1, 4, 3, 0, 4, 3, 4, 2, 2, 4, 2, 3, 3, 1, 0, 0, 0, 0, 0, 4, 1, 0, 3, 3, 3, 3, 1, 1, 3, 1, 0, 2, 4, 2, 4, 4, 4, 3, 0, 0, 3, 4, 4, 4, 3, 4, 3, 1, 2, 2, 2, 4, 0, 1, 0, 1, 0, 3, 3, 1, 2, 2, 1, 3, 2, 3, 4, 3, 3, 3, 4, 4, 1, 3, 4, 0, 2, 1, 2, 0, 1, 3, 3, 4, 4, 1, 1, 2, 0, 3, 1, 4, 4, 0, 0, 1, 4, 1, 3, 3, 0, 2, 3, 0, 3, 0, 3, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 4, 0, 2, 1, 1, 3, 4, 2, 0, 1, 1, 0, 3, 3, 2, 1, 1, 1, 0, 0, 1, 4, 3, 0, 2, 0, 1, 3, 1, 1, 0, 0, 3, 2, 3, 3, 2, 3, 1, 4, 3, 0, 2, 1, 2, 2, 0, 3, 4, 1, 0, 3, 1, 4, 4, 1, 4, 3, 2, 4, 0, 2, 0, 3, 0, 1, 3, 0, 4, 0, 4, 2, 1, 1, 4, 2, 1, 4, 2, 2, 3, 0, 2, 3, 2, 4, 3, 4, 2, 4, 3, 3, 3, 4, 0, 4, 4, 4, 0, 1, 4, 0, 0, 3, 1, 3, 4] pubkeycol1609 = [3, 2, 0, 4, 1, 0, 3, 1, 2, 4, 3, 4, 4, 2, 1, 0, 3, 3, 3, 4, 2, 3, 3, 3, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 3, 4, 0, 4, 2, 0, 1, 2, 0, 3, 1, 1, 4, 2, 1, 3, 4, 3, 3, 3, 2, 1, 0, 3, 0, 2, 0, 4, 2, 3, 0, 1, 4, 1, 2, 3, 3, 3, 3, 0, 4, 0, 3, 1, 0, 2, 3, 0, 2, 1, 3, 3, 0, 4, 2, 0, 2, 0, 4, 0, 4, 2, 0, 2, 1, 3, 2, 1, 0, 3, 2, 2, 3, 0, 1, 4, 0, 4, 1, 2, 3, 2, 4, 4, 3, 4, 1, 3, 0, 1, 0, 3, 3, 4, 0, 1, 3, 0, 4, 3, 0, 4, 0, 1, 0, 3, 2, 0, 3, 1, 1, 1, 1, 0, 0, 4, 2, 4, 0, 0, 3, 3, 0, 0, 0, 4, 2, 3, 0, 0, 0, 3, 2, 0, 0, 4, 4, 0, 1, 1, 3, 1, 2, 1, 0, 1, 3, 4, 0, 3, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 3, 0, 1, 1, 4, 0, 2, 0, 1, 3, 4, 0, 0, 4, 4, 1, 4, 3, 4, 0, 3, 3, 0, 3, 4, 0, 4, 1, 3, 2, 2, 1, 3, 4, 2, 4, 4, 1, 1, 1, 2, 1, 4, 2, 0, 3, 2, 3, 0, 3, 4, 4, 1, 2, 1, 3, 2, 4, 3, 2, 0, 1, 2, 4, 2, 0, 0, 0, 2, 3, 4, 1, 3, 1, 1, 2, 0, 0, 2, 2, 2, 3, 2, 3, 2, 2, 0, 2, 1, 3, 0, 4, 1, 4, 2, 2, 3, 4, 1, 1, 2, 0, 4, 4, 0, 1, 1, 1, 1, 4, 4, 2, 0, 2, 3, 1, 0, 4, 1, 3, 0, 0, 0, 4, 4, 2, 4, 1, 4, 2, 3, 3, 1, 1, 1, 2, 4, 1, 3, 0, 0, 4, 0, 3, 3, 0, 1, 4, 0, 0, 1, 2, 1, 4, 4, 3, 1, 0, 4, 1, 4, 0, 1, 0, 0, 1, 4, 1, 2, 4, 1, 4, 1, 1, 1, 2, 0, 4, 3, 1, 0, 2, 0, 2, 2, 1, 0, 1, 4, 2, 2, 3, 3, 1, 3, 4, 0, 1, 1, 1, 3, 4, 4] pubkeycol1610 = [0, 1, 0, 0, 1, 0, 3, 1, 4, 4, 3, 0, 0, 4, 2, 1, 3, 0, 2, 0, 2, 1, 2, 4, 2, 3, 0, 0, 2, 0, 3, 4, 3, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 3, 4, 1, 4, 4, 4, 3, 2, 4, 2, 0, 1, 2, 2, 1, 0, 0, 3, 2, 4, 4, 2, 4, 4, 0, 3, 3, 3, 2, 1, 4, 2, 1, 3, 4, 1, 4, 2, 0, 3, 4, 3, 0, 3, 2, 1, 3, 0, 0, 2, 1, 2, 3, 0, 3, 1, 0, 2, 3, 2, 1, 4, 2, 3, 0, 3, 3, 0, 3, 3, 1, 2, 4, 1, 0, 1, 0, 1, 0, 0, 0, 2, 3, 3, 4, 2, 4, 4, 1, 0, 4, 4, 2, 0, 3, 1, 1, 1, 2, 2, 4, 1, 4, 1, 2, 4, 0, 2, 4, 0, 3, 3, 3, 1, 0, 3, 4, 0, 4, 0, 3, 0, 3, 3, 2, 3, 3, 4, 4, 3, 4, 3, 0, 4, 1, 1, 0, 2, 0, 4, 2, 0, 1, 1, 0, 3, 2, 0, 2, 0, 1, 4, 2, 4, 0, 2, 2, 1, 1, 3, 0, 3, 0, 3, 2, 3, 0, 3, 0, 2, 2, 0, 1, 2, 4, 4, 1, 3, 0, 3, 2, 0, 0, 4, 4, 3, 0, 4, 4, 0, 3, 2, 0, 2, 1, 1, 0, 1, 4, 1, 1, 2, 4, 4, 1, 2, 2, 4, 3, 3, 1, 0, 0, 1, 4, 3, 3, 1, 4, 4, 2, 3, 4, 1, 3, 2, 1, 4, 1, 3, 2, 2, 2, 2, 3, 0, 3, 1, 4, 1, 2, 3, 0, 0, 1, 1, 4, 2, 0, 0, 4, 0, 1, 4, 0, 2, 3, 2, 2, 2, 3, 0, 0, 4, 2, 0, 0, 1, 1, 1, 0, 2, 4, 3, 2, 4, 2, 2, 3, 0, 1, 2, 4, 2, 4, 2, 4, 1, 3, 4, 3, 4, 2, 0, 3, 0, 2, 0, 2, 3, 2, 4, 4, 1, 1, 3, 0, 0, 1, 0, 1, 3, 2, 2, 4, 3, 1, 1, 2, 4, 1, 4, 4, 2, 1, 0, 1, 3, 4, 2, 0, 0, 1, 0, 3, 3, 0, 3, 2, 0, 3, 0, 1, 2, 3, 1, 0, 4, 4, 3, 4, 2, 0, 0, 1, 0, 1] pubkeycol1611 = [4, 4, 1, 0, 4, 4, 3, 2, 4, 2, 4, 4, 0, 0, 4, 1, 1, 0, 1, 1, 1, 4, 0, 4, 1, 2, 1, 4, 1, 0, 3, 0, 4, 4, 3, 2, 0, 3, 1, 3, 3, 1, 4, 4, 4, 3, 3, 0, 3, 1, 2, 4, 3, 2, 0, 1, 4, 4, 3, 2, 0, 4, 2, 0, 4, 2, 3, 3, 2, 0, 0, 3, 2, 2, 4, 2, 4, 3, 4, 3, 2, 1, 0, 2, 3, 3, 4, 0, 2, 1, 1, 2, 3, 1, 2, 0, 4, 4, 3, 4, 2, 1, 1, 3, 2, 2, 0, 3, 4, 4, 3, 1, 1, 2, 2, 4, 4, 0, 2, 3, 3, 4, 3, 2, 0, 4, 0, 4, 3, 4, 4, 0, 2, 4, 1, 3, 4, 2, 1, 0, 0, 4, 3, 4, 1, 0, 3, 3, 3, 4, 4, 2, 1, 4, 4, 3, 1, 0, 2, 0, 1, 4, 0, 1, 4, 1, 0, 4, 3, 4, 4, 0, 4, 1, 4, 4, 3, 2, 3, 4, 3, 4, 0, 4, 0, 0, 3, 3, 4, 4, 3, 2, 1, 2, 1, 4, 2, 4, 3, 2, 0, 0, 3, 1, 3, 2, 4, 0, 1, 2, 1, 2, 0, 1, 1, 3, 1, 0, 2, 1, 4, 4, 1, 0, 2, 1, 3, 4, 2, 3, 2, 1, 4, 3, 4, 1, 3, 0, 0, 0, 4, 4, 2, 4, 3, 0, 4, 4, 2, 2, 2, 1, 2, 4, 4, 0, 1, 2, 2, 1, 0, 3, 3, 3, 1, 4, 2, 3, 3, 1, 4, 2, 1, 4, 1, 2, 1, 0, 1, 0, 3, 0, 3, 4, 1, 2, 1, 2, 1, 2, 0, 1, 4, 3, 3, 3, 1, 2, 4, 0, 4, 2, 4, 4, 4, 4, 3, 4, 4, 0, 4, 2, 4, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 4, 1, 0, 2, 2, 1, 2, 4, 0, 1, 3, 1, 1, 2, 4, 1, 3, 2, 1, 3, 1, 1, 4, 2, 3, 2, 3, 0, 0, 4, 1, 3, 4, 2, 1, 4, 4, 3, 3, 1, 4, 0, 2, 0, 4, 4, 4, 0, 3, 1, 1, 4, 0, 1, 1, 3, 0, 1, 1, 2, 4, 2, 1, 4, 4, 3, 0, 1, 2, 0, 1, 3, 3, 3, 4, 4, 0] pubkeycol1612 = [4, 2, 3, 2, 2, 4, 1, 3, 3, 4, 0, 4, 3, 2, 1, 0, 4, 3, 0, 1, 4, 2, 3, 3, 1, 3, 4, 0, 0, 0, 2, 2, 2, 0, 3, 1, 4, 2, 4, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 4, 3, 1, 4, 0, 0, 0, 0, 2, 2, 1, 1, 3, 4, 4, 0, 4, 3, 2, 3, 3, 3, 4, 3, 4, 1, 2, 1, 0, 3, 1, 1, 4, 3, 0, 4, 1, 4, 1, 4, 0, 0, 0, 0, 3, 3, 1, 1, 3, 2, 4, 2, 0, 2, 1, 2, 4, 2, 1, 2, 1, 2, 1, 4, 0, 3, 0, 2, 2, 3, 3, 4, 1, 1, 1, 1, 3, 4, 3, 1, 2, 3, 2, 2, 3, 1, 2, 2, 3, 1, 3, 4, 3, 0, 1, 0, 2, 3, 4, 4, 1, 1, 1, 1, 2, 4, 3, 4, 3, 0, 3, 2, 1, 4, 1, 2, 1, 4, 1, 4, 0, 1, 3, 4, 3, 2, 3, 1, 0, 2, 2, 1, 1, 3, 0, 1, 1, 1, 1, 1, 3, 0, 0, 1, 4, 1, 2, 0, 2, 1, 0, 0, 0, 3, 4, 3, 4, 0, 3, 3, 2, 2, 3, 4, 0, 2, 0, 0, 2, 3, 2, 1, 2, 4, 4, 1, 4, 1, 0, 3, 2, 4, 3, 1, 3, 2, 0, 0, 4, 2, 1, 0, 4, 3, 4, 0, 4, 2, 2, 3, 3, 4, 3, 2, 0, 0, 2, 2, 4, 0, 3, 1, 1, 3, 3, 3, 4, 1, 4, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 4, 4, 3, 4, 3, 0, 4, 4, 2, 0, 4, 1, 4, 4, 2, 1, 3, 0, 0, 2, 1, 3, 1, 3, 2, 4, 3, 3, 3, 1, 2, 3, 4, 3, 0, 3, 1, 3, 2, 2, 1, 4, 2, 3, 0, 1, 4, 1, 3, 1, 2, 0, 1, 3, 0, 3, 0, 1, 2, 3, 2, 3, 4, 3, 1, 1, 2, 1, 4, 3, 3, 4, 3, 2, 0, 4, 2, 3, 2, 1, 2, 3, 2, 4, 0, 1, 3, 0, 0, 1, 4, 2, 2, 4, 3, 2, 3, 2, 3, 4, 4, 0, 0, 0, 3, 2, 3, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0] pubkeycol1613 = [2, 1, 1, 1, 3, 4, 3, 2, 4, 0, 3, 2, 1, 0, 4, 0, 4, 1, 1, 4, 3, 4, 4, 0, 2, 1, 0, 4, 1, 0, 4, 2, 1, 1, 4, 2, 2, 4, 4, 2, 0, 2, 3, 1, 0, 3, 0, 0, 0, 3, 1, 3, 1, 2, 1, 2, 1, 0, 2, 4, 1, 0, 4, 3, 3, 4, 2, 2, 1, 1, 4, 1, 4, 1, 2, 3, 3, 2, 4, 1, 3, 2, 4, 4, 3, 3, 4, 3, 4, 4, 3, 2, 2, 0, 2, 2, 1, 2, 4, 1, 4, 4, 3, 4, 2, 0, 1, 4, 0, 0, 0, 1, 1, 0, 3, 2, 1, 2, 0, 3, 0, 1, 0, 4, 3, 3, 2, 0, 2, 4, 2, 2, 1, 2, 0, 4, 2, 2, 4, 2, 3, 0, 0, 3, 0, 4, 4, 4, 3, 1, 0, 1, 3, 3, 3, 2, 0, 2, 4, 1, 2, 3, 1, 1, 3, 3, 2, 3, 4, 3, 3, 1, 1, 3, 0, 0, 1, 0, 2, 3, 4, 0, 3, 4, 3, 1, 2, 4, 2, 4, 4, 4, 3, 0, 2, 1, 4, 3, 3, 2, 2, 3, 1, 0, 3, 4, 3, 0, 1, 3, 4, 2, 0, 3, 4, 3, 0, 2, 2, 2, 1, 2, 0, 0, 3, 1, 2, 0, 3, 2, 3, 2, 0, 4, 0, 2, 0, 3, 3, 3, 3, 2, 0, 2, 4, 0, 0, 3, 0, 2, 0, 4, 3, 2, 0, 3, 2, 1, 3, 1, 0, 4, 0, 0, 1, 3, 1, 4, 2, 1, 4, 1, 3, 0, 4, 0, 3, 3, 1, 1, 4, 0, 3, 2, 3, 3, 3, 3, 4, 1, 2, 2, 0, 4, 4, 3, 1, 1, 2, 0, 1, 3, 4, 0, 2, 2, 0, 0, 2, 1, 3, 4, 2, 0, 4, 1, 1, 2, 0, 3, 3, 0, 0, 1, 4, 3, 3, 3, 4, 3, 2, 1, 0, 2, 3, 0, 0, 0, 3, 2, 0, 2, 1, 1, 4, 3, 0, 4, 3, 1, 2, 1, 4, 1, 4, 0, 2, 1, 3, 0, 3, 3, 4, 1, 4, 3, 0, 2, 4, 4, 0, 2, 4, 2, 2, 3, 4, 0, 1, 0, 0, 3, 4, 1, 4, 3, 2, 2, 4, 3, 1, 4, 1, 2, 0, 2, 3, 4, 3, 2] pubkeycol1614 = [2, 1, 1, 2, 3, 4, 1, 3, 3, 3, 2, 1, 4, 2, 3, 4, 1, 1, 0, 4, 1, 0, 4, 3, 0, 0, 1, 2, 0, 1, 0, 1, 1, 4, 2, 0, 4, 0, 3, 1, 4, 2, 2, 3, 3, 0, 2, 3, 2, 3, 3, 0, 1, 0, 2, 1, 4, 1, 3, 4, 1, 0, 1, 2, 2, 3, 4, 2, 4, 3, 2, 1, 4, 2, 1, 2, 4, 1, 0, 2, 2, 4, 0, 0, 0, 1, 2, 0, 2, 0, 4, 1, 0, 3, 3, 4, 0, 1, 0, 3, 4, 4, 1, 4, 3, 0, 4, 2, 4, 3, 1, 4, 2, 0, 1, 0, 3, 2, 3, 4, 2, 0, 1, 2, 2, 2, 2, 4, 4, 3, 1, 0, 3, 1, 3, 2, 1, 2, 2, 3, 1, 4, 1, 4, 1, 3, 0, 4, 3, 2, 2, 2, 1, 2, 2, 0, 0, 1, 4, 1, 4, 0, 3, 0, 3, 4, 3, 0, 0, 1, 3, 4, 2, 0, 4, 0, 2, 4, 0, 4, 4, 3, 0, 4, 2, 3, 2, 2, 3, 4, 1, 0, 2, 4, 4, 2, 1, 3, 3, 4, 4, 4, 4, 2, 3, 2, 4, 0, 1, 1, 2, 4, 1, 4, 0, 4, 3, 2, 0, 4, 4, 3, 4, 1, 0, 2, 0, 4, 2, 0, 1, 1, 3, 0, 4, 2, 4, 4, 0, 3, 3, 3, 2, 2, 0, 4, 3, 4, 1, 3, 1, 3, 2, 1, 1, 0, 1, 1, 2, 0, 3, 2, 2, 3, 2, 4, 0, 2, 3, 2, 0, 3, 2, 3, 4, 0, 2, 0, 0, 3, 2, 0, 2, 2, 1, 0, 0, 0, 0, 3, 3, 3, 0, 0, 1, 2, 1, 0, 2, 3, 4, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 4, 1, 2, 4, 3, 2, 4, 0, 1, 1, 4, 4, 2, 0, 2, 2, 4, 2, 2, 0, 1, 0, 1, 2, 3, 1, 1, 4, 1, 3, 0, 2, 1, 2, 3, 1, 4, 3, 2, 3, 2, 4, 0, 2, 1, 0, 2, 4, 4, 1, 2, 0, 1, 2, 1, 1, 3, 4, 1, 1, 3, 1, 3, 4, 3, 1, 4, 3, 0, 3, 2, 3, 1, 4, 1, 4, 3, 3, 0, 1, 3, 1, 2] pubkeycol1615 = [2, 3, 4, 3, 1, 0, 1, 0, 4, 3, 3, 1, 1, 2, 3, 0, 2, 2, 3, 3, 3, 1, 4, 2, 1, 1, 4, 1, 1, 0, 2, 4, 4, 3, 4, 2, 2, 3, 1, 1, 4, 3, 4, 0, 3, 4, 2, 1, 1, 4, 1, 3, 0, 0, 0, 1, 0, 3, 4, 2, 3, 3, 1, 2, 4, 0, 2, 4, 3, 1, 4, 1, 2, 2, 3, 0, 2, 4, 1, 0, 0, 0, 0, 4, 3, 2, 4, 3, 1, 0, 3, 3, 0, 2, 4, 4, 2, 1, 4, 4, 2, 1, 2, 4, 3, 4, 4, 4, 0, 1, 1, 2, 4, 4, 3, 3, 4, 0, 2, 4, 1, 4, 0, 0, 4, 0, 2, 4, 3, 4, 1, 3, 1, 3, 2, 3, 0, 3, 3, 2, 1, 3, 3, 3, 1, 0, 2, 4, 0, 0, 2, 0, 4, 1, 4, 1, 1, 2, 0, 1, 0, 3, 0, 2, 4, 2, 2, 2, 0, 2, 4, 2, 1, 3, 3, 1, 0, 4, 0, 1, 4, 1, 0, 3, 0, 1, 4, 1, 1, 3, 1, 0, 4, 0, 0, 3, 0, 0, 2, 0, 0, 1, 2, 0, 3, 1, 0, 1, 1, 2, 1, 1, 3, 2, 1, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 4, 0, 2, 2, 0, 3, 4, 3, 3, 3, 3, 1, 1, 3, 4, 3, 2, 3, 1, 3, 0, 3, 2, 4, 2, 4, 4, 1, 0, 0, 2, 3, 3, 1, 3, 0, 0, 4, 1, 3, 3, 3, 2, 1, 4, 3, 1, 0, 3, 3, 2, 0, 4, 2, 0, 3, 2, 1, 4, 0, 4, 0, 0, 2, 4, 3, 3, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 4, 0, 3, 0, 0, 4, 1, 1, 3, 1, 4, 4, 4, 2, 0, 1, 2, 3, 3, 3, 2, 2, 4, 2, 0, 3, 4, 2, 4, 4, 3, 0, 4, 3, 3, 3, 4, 4, 0, 1, 2, 4, 4, 2, 2, 1, 4, 3, 0, 4, 0, 3, 2, 2, 4, 4, 4, 1, 0, 2, 3, 0, 4, 0, 0, 0, 0, 1, 1, 3, 1, 0, 0, 1, 0, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 3, 0, 2, 1, 0, 4, 2, 3, 1] pubkeycol1616 = [2, 1, 1, 1, 4, 3, 0, 4, 0, 0, 2, 0, 3, 2, 4, 2, 4, 2, 2, 2, 2, 4, 0, 1, 4, 0, 4, 4, 2, 1, 3, 2, 4, 1, 0, 2, 1, 4, 3, 2, 4, 1, 0, 4, 0, 0, 4, 0, 4, 1, 3, 1, 0, 0, 3, 2, 2, 4, 4, 1, 0, 3, 2, 3, 0, 0, 3, 3, 1, 3, 4, 3, 1, 4, 3, 3, 2, 3, 1, 0, 3, 3, 4, 4, 2, 2, 1, 2, 0, 1, 4, 4, 2, 0, 3, 0, 3, 3, 3, 1, 2, 0, 3, 3, 2, 1, 1, 0, 2, 1, 4, 4, 4, 3, 2, 1, 1, 2, 3, 3, 1, 2, 4, 2, 2, 2, 2, 3, 3, 4, 0, 3, 2, 0, 3, 3, 4, 1, 3, 0, 3, 4, 3, 3, 3, 1, 3, 0, 1, 2, 2, 2, 2, 2, 1, 3, 0, 4, 2, 4, 0, 3, 2, 3, 2, 3, 3, 2, 2, 3, 4, 4, 2, 0, 0, 2, 2, 2, 4, 3, 0, 3, 4, 0, 3, 3, 3, 2, 0, 4, 4, 0, 4, 4, 2, 3, 3, 1, 3, 2, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 2, 4, 1, 2, 1, 4, 4, 0, 0, 4, 3, 4, 3, 1, 4, 0, 4, 4, 2, 3, 2, 0, 2, 0, 1, 2, 0, 2, 1, 3, 2, 4, 1, 0, 2, 2, 3, 0, 1, 3, 1, 4, 4, 4, 0, 4, 0, 1, 4, 1, 1, 4, 1, 0, 4, 1, 3, 1, 3, 2, 4, 2, 3, 1, 0, 0, 4, 0, 0, 0, 0, 0, 3, 2, 0, 0, 2, 3, 3, 1, 1, 1, 1, 4, 3, 2, 1, 0, 4, 4, 2, 1, 4, 2, 1, 3, 3, 1, 3, 0, 4, 4, 1, 1, 0, 2, 4, 0, 1, 2, 2, 4, 1, 0, 0, 1, 2, 1, 0, 4, 3, 1, 1, 4, 1, 2, 1, 3, 1, 2, 1, 0, 1, 2, 1, 2, 0, 4, 3, 4, 1, 3, 4, 3, 1, 3, 3, 2, 4, 0, 3, 1, 2, 3, 1, 3, 3, 0, 1, 3, 3, 3, 3, 3, 0, 3, 2, 1, 1, 1, 3, 4, 4, 2, 4, 2, 0, 4, 0, 1, 4, 3, 1, 0, 4, 2, 3, 0, 3, 3] pubkeycol1617 = [0, 2, 0, 4, 3, 4, 2, 1, 1, 4, 0, 4, 4, 2, 2, 0, 0, 3, 4, 3, 3, 0, 4, 4, 3, 4, 4, 0, 4, 2, 0, 4, 3, 2, 0, 0, 4, 1, 4, 4, 3, 0, 1, 4, 3, 3, 1, 1, 1, 0, 4, 2, 2, 4, 4, 3, 2, 1, 2, 4, 0, 3, 4, 3, 2, 3, 4, 1, 1, 1, 2, 3, 3, 3, 0, 3, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 4, 2, 0, 2, 3, 4, 1, 3, 1, 0, 0, 1, 1, 1, 3, 4, 0, 0, 3, 2, 4, 4, 1, 2, 4, 1, 3, 2, 4, 2, 0, 3, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 4, 3, 2, 3, 0, 3, 2, 0, 3, 3, 2, 0, 3, 4, 4, 0, 3, 2, 2, 2, 2, 4, 4, 0, 1, 2, 0, 0, 3, 1, 3, 0, 2, 1, 1, 2, 1, 2, 4, 0, 0, 4, 0, 3, 4, 2, 3, 3, 3, 3, 3, 0, 4, 4, 3, 4, 2, 4, 1, 1, 1, 0, 3, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 4, 4, 4, 3, 4, 4, 0, 2, 1, 0, 2, 1, 3, 2, 2, 1, 1, 2, 2, 2, 1, 3, 4, 4, 0, 1, 2, 2, 3, 4, 4, 3, 0, 0, 4, 3, 2, 4, 3, 4, 4, 1, 1, 1, 3, 1, 3, 0, 3, 4, 1, 1, 0, 2, 3, 0, 0, 0, 3, 0, 4, 1, 4, 4, 4, 0, 4, 1, 3, 3, 3, 3, 0, 4, 4, 0, 2, 3, 1, 2, 1, 4, 0, 4, 3, 4, 2, 3, 4, 2, 1, 0, 3, 3, 4, 0, 3, 3, 4, 1, 0, 0, 1, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 0, 1, 3, 3, 0, 0, 0, 1, 1, 0, 0, 1, 4, 1, 4, 0, 3, 3, 2, 2, 0, 0, 1, 3, 2, 4, 0, 1, 2, 1, 0, 4, 2, 1, 0, 1, 4, 4, 4, 4, 4, 0, 3, 0, 2, 3, 0, 0, 0, 2, 2, 2, 3, 0, 2, 3, 2, 1, 4, 1, 0, 3, 3, 1, 1, 4, 2, 3, 0, 2, 1, 4, 1, 1, 3, 1, 1, 0] pubkeycol1618 = [2, 1, 2, 3, 1, 1, 4, 4, 1, 2, 2, 2, 2, 4, 4, 1, 0, 4, 0, 2, 3, 3, 2, 2, 3, 4, 2, 1, 2, 1, 4, 1, 1, 4, 2, 3, 2, 2, 2, 4, 4, 2, 2, 2, 1, 1, 3, 2, 0, 1, 4, 3, 4, 3, 3, 3, 0, 1, 4, 2, 4, 1, 2, 0, 4, 4, 4, 4, 0, 4, 3, 2, 2, 1, 2, 1, 1, 3, 2, 2, 3, 4, 4, 4, 2, 0, 3, 0, 0, 0, 3, 0, 2, 1, 4, 1, 0, 3, 2, 1, 0, 4, 4, 4, 4, 2, 1, 2, 1, 4, 0, 3, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 3, 4, 2, 0, 3, 2, 2, 3, 1, 4, 3, 2, 0, 1, 3, 4, 3, 2, 0, 3, 3, 3, 1, 0, 3, 3, 4, 0, 4, 3, 1, 1, 1, 1, 0, 4, 3, 3, 1, 4, 4, 2, 2, 0, 4, 0, 4, 2, 1, 0, 3, 1, 0, 2, 3, 3, 0, 3, 0, 1, 3, 2, 0, 1, 3, 2, 0, 3, 3, 1, 3, 1, 3, 3, 1, 4, 4, 3, 2, 3, 4, 0, 0, 3, 0, 4, 3, 3, 3, 0, 3, 1, 1, 0, 1, 3, 4, 4, 0, 0, 4, 3, 4, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 2, 4, 0, 2, 0, 1, 0, 0, 2, 0, 1, 3, 3, 3, 4, 0, 0, 4, 3, 0, 0, 4, 1, 0, 2, 1, 0, 0, 4, 1, 2, 3, 2, 1, 4, 1, 3, 4, 2, 0, 3, 1, 1, 4, 2, 0, 3, 4, 1, 0, 4, 1, 1, 0, 4, 0, 4, 2, 0, 1, 4, 4, 2, 2, 1, 0, 3, 3, 2, 0, 0, 3, 0, 1, 1, 0, 3, 1, 3, 1, 2, 4, 4, 3, 0, 2, 2, 2, 1, 3, 0, 2, 1, 2, 2, 2, 0, 0, 0, 4, 4, 1, 2, 3, 3, 2, 4, 1, 3, 4, 0, 1, 4, 1, 1, 1, 1, 3, 1, 1, 4, 0, 4, 0, 1, 3, 2, 1, 2, 3, 2, 4, 2, 4, 2, 0, 1, 0, 4, 3, 2, 4, 1, 3, 1, 2, 4, 2, 4, 0, 1, 0, 4, 4, 3, 2, 0, 4, 4, 3, 4, 1, 0, 1, 1] pubkeycol1619 = [4, 1, 4, 0, 3, 2, 1, 2, 3, 2, 0, 3, 4, 2, 0, 3, 1, 4, 1, 1, 3, 4, 4, 2, 0, 0, 4, 3, 2, 4, 3, 1, 2, 0, 4, 3, 1, 1, 4, 2, 2, 0, 2, 2, 4, 2, 1, 0, 1, 2, 0, 4, 0, 0, 4, 3, 2, 4, 3, 3, 2, 1, 2, 0, 0, 4, 4, 3, 2, 3, 3, 1, 3, 3, 4, 1, 3, 2, 1, 2, 1, 0, 1, 3, 1, 1, 4, 3, 4, 3, 3, 4, 0, 3, 3, 2, 2, 0, 3, 1, 0, 2, 0, 4, 2, 0, 0, 3, 2, 1, 1, 2, 2, 3, 3, 2, 0, 1, 4, 2, 0, 0, 3, 0, 1, 1, 0, 2, 3, 2, 4, 1, 3, 0, 3, 4, 2, 0, 0, 3, 0, 3, 1, 4, 3, 2, 4, 3, 3, 2, 3, 3, 2, 0, 0, 1, 3, 4, 1, 0, 4, 1, 1, 1, 0, 4, 0, 3, 4, 2, 2, 3, 1, 2, 3, 2, 0, 0, 2, 2, 4, 4, 1, 3, 1, 0, 0, 0, 0, 2, 1, 3, 4, 4, 3, 2, 1, 4, 0, 1, 4, 4, 1, 1, 2, 4, 4, 3, 3, 2, 0, 0, 2, 2, 1, 4, 1, 4, 1, 2, 3, 1, 4, 3, 4, 2, 1, 3, 1, 4, 4, 3, 3, 2, 4, 1, 0, 2, 0, 4, 3, 1, 2, 3, 0, 4, 0, 1, 2, 4, 4, 2, 2, 3, 4, 4, 0, 2, 2, 2, 3, 3, 4, 4, 3, 2, 1, 2, 0, 4, 1, 2, 2, 3, 4, 1, 4, 4, 3, 2, 4, 4, 0, 2, 2, 2, 0, 4, 1, 3, 2, 4, 1, 0, 1, 2, 4, 1, 2, 4, 2, 2, 0, 4, 3, 4, 2, 2, 2, 3, 2, 0, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 3, 2, 0, 4, 1, 1, 3, 1, 1, 0, 1, 0, 4, 0, 3, 4, 2, 2, 2, 3, 2, 2, 1, 0, 2, 2, 0, 3, 1, 3, 3, 3, 3, 2, 3, 1, 0, 1, 2, 1, 3, 1, 3, 0, 2, 0, 2, 2, 1, 3, 1, 1, 4, 2, 0, 1, 1, 2, 4, 4, 3, 1, 3, 2, 2, 3, 3, 1, 3, 2, 0, 1, 0, 0, 4, 2, 0] pubkeycol1620 = [3, 0, 1, 0, 4, 0, 3, 1, 0, 1, 2, 4, 2, 1, 2, 1, 2, 4, 1, 4, 4, 4, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 3, 1, 4, 2, 1, 4, 4, 2, 2, 4, 3, 0, 0, 1, 3, 1, 1, 3, 4, 0, 2, 1, 0, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 4, 1, 3, 2, 2, 1, 4, 4, 1, 1, 2, 0, 1, 1, 3, 2, 1, 1, 1, 4, 2, 0, 3, 4, 0, 3, 2, 1, 4, 2, 3, 1, 0, 0, 2, 1, 3, 0, 3, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 2, 4, 4, 4, 2, 0, 1, 3, 0, 0, 3, 2, 4, 3, 0, 2, 3, 0, 2, 3, 1, 4, 3, 0, 3, 1, 2, 0, 2, 4, 4, 2, 3, 3, 3, 3, 4, 2, 2, 4, 1, 3, 2, 4, 2, 0, 1, 1, 4, 4, 0, 1, 2, 2, 2, 0, 2, 4, 0, 4, 1, 3, 4, 4, 3, 2, 1, 2, 3, 1, 4, 4, 3, 2, 3, 2, 4, 2, 4, 2, 3, 0, 0, 4, 1, 4, 2, 3, 0, 4, 2, 0, 1, 4, 4, 1, 1, 4, 4, 4, 0, 2, 3, 1, 4, 3, 1, 0, 2, 2, 4, 4, 4, 3, 1, 4, 2, 3, 4, 1, 3, 0, 2, 4, 3, 4, 3, 3, 3, 1, 3, 3, 0, 1, 4, 2, 4, 3, 2, 2, 3, 3, 1, 2, 0, 1, 1, 1, 0, 1, 4, 1, 2, 1, 1, 0, 3, 2, 1, 3, 3, 4, 2, 3, 3, 4, 3, 4, 3, 1, 0, 0, 2, 4, 3, 4, 1, 1, 4, 0, 3, 0, 3, 3, 1, 3, 4, 4, 4, 1, 0, 2, 4, 2, 2, 2, 4, 1, 2, 1, 1, 2, 2, 4, 1, 0, 1, 3, 1, 0, 4, 2, 4, 3, 1, 3, 1, 3, 2, 0, 4, 0, 2, 0, 4, 3, 2, 2, 4, 1, 2, 0, 1, 1, 0, 4, 4, 3, 3, 1, 3, 3, 1, 3, 2, 3, 2, 2, 2, 0, 2, 3, 4, 3, 1, 0, 3, 3, 3, 4, 4, 4, 2, 4, 1, 4, 4, 2, 0, 1] pubkeycol1621 = [2, 3, 3, 1, 1, 0, 3, 3, 2, 4, 0, 2, 4, 1, 0, 2, 0, 1, 0, 1, 4, 2, 3, 3, 3, 2, 1, 4, 1, 4, 3, 3, 3, 1, 1, 1, 3, 0, 3, 2, 4, 3, 3, 2, 0, 1, 0, 1, 0, 2, 3, 3, 0, 3, 3, 1, 0, 2, 4, 1, 4, 2, 4, 4, 1, 2, 4, 4, 3, 2, 1, 3, 4, 4, 1, 3, 2, 0, 2, 1, 2, 2, 0, 3, 3, 4, 3, 3, 2, 1, 0, 3, 0, 1, 4, 3, 2, 2, 4, 1, 4, 2, 1, 0, 1, 2, 3, 1, 0, 2, 1, 0, 4, 0, 4, 3, 4, 2, 1, 2, 2, 4, 2, 0, 2, 3, 3, 0, 0, 0, 3, 4, 4, 1, 2, 3, 4, 2, 0, 1, 1, 3, 0, 4, 4, 3, 4, 4, 1, 3, 2, 2, 2, 4, 4, 3, 3, 1, 3, 0, 2, 3, 2, 0, 2, 3, 0, 0, 4, 0, 1, 3, 4, 3, 3, 1, 0, 2, 1, 3, 2, 2, 0, 2, 3, 3, 2, 1, 0, 1, 3, 2, 3, 4, 2, 3, 3, 4, 0, 2, 3, 2, 4, 1, 3, 4, 2, 2, 3, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 3, 0, 4, 3, 0, 0, 4, 0, 3, 3, 0, 3, 2, 0, 0, 0, 4, 2, 4, 1, 2, 2, 1, 0, 0, 1, 0, 0, 4, 3, 3, 0, 1, 4, 3, 3, 1, 0, 1, 0, 2, 1, 0, 1, 3, 2, 2, 1, 2, 2, 2, 1, 3, 3, 2, 0, 2, 2, 2, 1, 3, 3, 2, 3, 1, 3, 0, 0, 4, 1, 1, 4, 0, 2, 4, 0, 1, 1, 2, 1, 4, 0, 1, 0, 0, 4, 0, 1, 3, 4, 4, 2, 1, 3, 1, 3, 3, 4, 4, 0, 2, 4, 0, 4, 4, 0, 3, 0, 3, 1, 2, 1, 0, 2, 0, 4, 2, 0, 0, 0, 4, 1, 1, 1, 0, 1, 4, 2, 3, 1, 3, 4, 0, 0, 3, 0, 3, 3, 2, 1, 1, 3, 3, 0, 1, 0, 3, 4, 0, 0, 4, 4, 1, 2, 0, 3, 4, 0, 2, 2, 2, 3, 2, 1, 2, 0, 1, 1, 2, 4, 3, 0, 3, 1, 4, 3, 4, 4, 0, 2, 4] pubkeycol1622 = [0, 0, 4, 1, 0, 4, 0, 4, 3, 1, 3, 2, 4, 2, 2, 3, 3, 4, 0, 1, 3, 4, 3, 2, 3, 3, 3, 0, 4, 2, 1, 4, 4, 0, 0, 4, 0, 2, 4, 3, 2, 4, 3, 0, 3, 1, 1, 2, 1, 0, 2, 1, 1, 3, 0, 0, 3, 4, 4, 1, 1, 4, 1, 1, 2, 2, 2, 2, 3, 0, 2, 1, 1, 2, 4, 3, 3, 1, 4, 2, 1, 4, 0, 4, 1, 4, 3, 2, 3, 0, 0, 1, 3, 4, 2, 0, 4, 4, 1, 3, 3, 4, 4, 1, 1, 3, 0, 3, 4, 4, 1, 2, 3, 2, 4, 3, 3, 2, 3, 0, 2, 2, 2, 0, 3, 0, 2, 2, 3, 2, 2, 3, 0, 4, 0, 1, 4, 4, 3, 3, 2, 1, 0, 3, 0, 2, 0, 3, 4, 1, 1, 1, 0, 2, 1, 4, 4, 3, 4, 0, 4, 0, 3, 1, 2, 3, 0, 2, 1, 3, 1, 2, 1, 3, 3, 4, 4, 1, 4, 4, 2, 0, 2, 2, 1, 1, 4, 4, 1, 4, 4, 3, 4, 4, 1, 4, 4, 4, 1, 2, 2, 4, 0, 2, 3, 4, 3, 2, 1, 2, 2, 2, 2, 3, 3, 0, 2, 4, 1, 0, 3, 0, 0, 4, 1, 2, 3, 4, 2, 4, 2, 4, 1, 4, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 4, 2, 1, 4, 0, 4, 0, 2, 4, 2, 4, 4, 1, 2, 4, 2, 2, 2, 4, 1, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 0, 0, 4, 0, 4, 0, 4, 4, 1, 4, 0, 4, 1, 4, 1, 0, 2, 1, 3, 2, 0, 3, 2, 4, 2, 2, 4, 4, 4, 1, 0, 3, 1, 2, 4, 0, 3, 1, 3, 1, 3, 2, 2, 1, 4, 4, 2, 2, 4, 3, 2, 4, 0, 1, 4, 4, 4, 3, 0, 4, 4, 0, 4, 0, 4, 1, 0, 2, 2, 0, 3, 4, 4, 2, 2, 3, 0, 4, 3, 2, 2, 3, 4, 3, 3, 0, 2, 1, 0, 0, 4, 1, 2, 4, 3, 4, 1, 3, 3, 3, 0, 3, 0, 1, 1, 3, 1, 2, 4, 4, 1, 2, 1, 2, 2, 1, 0, 1, 3, 1, 3, 0, 1, 1] pubkeycol1623 = [3, 4, 3, 2, 1, 3, 4, 3, 3, 2, 2, 2, 3, 4, 2, 2, 3, 3, 0, 1, 4, 2, 2, 2, 0, 3, 3, 1, 0, 2, 0, 4, 2, 4, 1, 4, 4, 1, 4, 4, 3, 2, 1, 1, 4, 2, 0, 1, 4, 0, 1, 4, 4, 3, 0, 0, 2, 4, 4, 3, 0, 2, 0, 3, 0, 3, 0, 1, 1, 0, 3, 4, 2, 4, 2, 3, 1, 1, 4, 3, 0, 1, 0, 0, 1, 2, 1, 0, 2, 4, 3, 1, 4, 0, 2, 2, 2, 2, 2, 1, 4, 1, 4, 4, 2, 3, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 3, 1, 2, 1, 3, 0, 1, 4, 1, 1, 1, 1, 0, 2, 4, 1, 1, 3, 3, 0, 3, 3, 4, 4, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 3, 0, 3, 0, 4, 3, 3, 4, 1, 4, 1, 1, 3, 2, 2, 0, 4, 2, 2, 1, 4, 2, 1, 0, 4, 4, 0, 2, 3, 1, 0, 2, 3, 1, 3, 0, 2, 1, 0, 1, 4, 0, 1, 1, 4, 0, 4, 0, 1, 3, 3, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 3, 1, 0, 3, 1, 1, 1, 3, 1, 1, 0, 0, 1, 0, 2, 3, 3, 3, 3, 4, 4, 1, 0, 0, 1, 3, 2, 4, 2, 4, 3, 0, 0, 3, 4, 2, 0, 2, 2, 3, 2, 2, 3, 4, 0, 3, 2, 3, 4, 4, 1, 3, 2, 2, 3, 4, 3, 1, 4, 0, 1, 2, 2, 2, 2, 3, 1, 4, 1, 0, 0, 4, 0, 1, 3, 4, 3, 0, 1, 4, 1, 3, 0, 3, 4, 0, 4, 3, 4, 3, 0, 1, 2, 4, 2, 2, 4, 4, 0, 0, 1, 1, 3, 4, 4, 0, 0, 4, 2, 1, 0, 1, 0, 2, 4, 1, 4, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 1, 4, 3, 0, 4, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 3, 4, 2, 2, 4, 2, 1, 2, 1, 2, 1, 0, 4, 3, 4, 0, 3, 2, 0, 4, 4, 1, 3, 1, 2, 0, 4, 2, 1, 1, 2, 1, 3, 0, 2, 2] pubkeycol1624 = [4, 0, 4, 1, 1, 2, 4, 1, 1, 1, 2, 3, 1, 1, 3, 4, 0, 3, 2, 3, 3, 0, 3, 0, 0, 2, 3, 1, 4, 4, 0, 4, 2, 3, 1, 3, 4, 4, 1, 0, 4, 3, 1, 4, 4, 4, 0, 3, 2, 1, 3, 2, 3, 4, 2, 0, 4, 1, 2, 2, 3, 4, 4, 2, 4, 3, 3, 3, 4, 1, 1, 2, 2, 2, 1, 1, 4, 3, 2, 3, 1, 4, 4, 4, 3, 1, 0, 4, 1, 4, 2, 4, 1, 0, 3, 2, 3, 3, 3, 4, 1, 3, 1, 4, 2, 4, 3, 3, 1, 1, 3, 4, 4, 4, 0, 1, 0, 4, 1, 0, 3, 4, 4, 4, 1, 4, 3, 3, 4, 2, 0, 4, 1, 2, 0, 4, 2, 2, 3, 2, 2, 1, 4, 1, 3, 1, 2, 1, 1, 4, 0, 1, 0, 2, 2, 1, 4, 4, 1, 0, 3, 4, 0, 1, 4, 3, 3, 0, 0, 0, 0, 4, 1, 4, 0, 0, 0, 0, 1, 0, 1, 3, 0, 1, 1, 1, 3, 4, 0, 0, 0, 4, 0, 0, 3, 3, 0, 0, 3, 4, 2, 2, 4, 2, 0, 2, 0, 2, 1, 4, 0, 4, 0, 2, 3, 3, 4, 4, 2, 3, 1, 2, 3, 4, 0, 2, 2, 2, 4, 0, 4, 3, 4, 2, 0, 3, 1, 4, 1, 3, 4, 2, 0, 4, 1, 3, 2, 4, 4, 2, 3, 3, 0, 1, 0, 1, 4, 4, 1, 4, 1, 1, 3, 0, 0, 4, 4, 4, 2, 2, 2, 2, 2, 3, 3, 0, 0, 3, 0, 1, 3, 0, 2, 3, 3, 2, 0, 1, 2, 3, 4, 3, 1, 4, 0, 0, 0, 0, 4, 2, 4, 2, 0, 1, 1, 1, 3, 3, 4, 2, 0, 2, 2, 4, 2, 0, 4, 4, 2, 4, 4, 4, 2, 3, 4, 4, 0, 2, 1, 2, 3, 2, 2, 0, 4, 2, 4, 1, 0, 1, 4, 1, 3, 0, 0, 2, 4, 1, 2, 2, 4, 4, 1, 3, 2, 2, 4, 4, 1, 3, 2, 4, 3, 3, 2, 3, 1, 2, 4, 2, 3, 0, 4, 0, 2, 0, 2, 2, 0, 1, 1, 4, 3, 1, 4, 3, 4, 0, 1, 3, 2, 0, 4, 0, 4, 0, 3, 0, 1, 3] pubkeycol1625 = [1, 0, 4, 0, 4, 4, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 3, 2, 4, 0, 0, 2, 2, 0, 1, 0, 4, 1, 3, 1, 2, 1, 3, 0, 3, 0, 2, 4, 4, 4, 1, 0, 1, 1, 4, 3, 3, 3, 2, 4, 1, 0, 2, 0, 4, 2, 4, 4, 2, 3, 2, 3, 4, 4, 2, 4, 0, 1, 2, 0, 0, 4, 3, 4, 3, 2, 0, 4, 1, 3, 2, 3, 3, 2, 0, 3, 0, 0, 1, 1, 2, 3, 1, 0, 2, 3, 2, 2, 3, 1, 2, 3, 3, 3, 4, 4, 0, 2, 1, 4, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 4, 1, 1, 1, 0, 0, 3, 0, 4, 3, 1, 2, 0, 1, 4, 0, 4, 0, 3, 0, 2, 2, 4, 0, 3, 0, 3, 3, 2, 2, 3, 4, 3, 0, 4, 1, 2, 1, 1, 1, 0, 1, 4, 1, 0, 2, 0, 2, 2, 0, 4, 1, 4, 4, 3, 4, 4, 2, 1, 2, 4, 0, 3, 0, 0, 1, 4, 4, 0, 4, 4, 4, 0, 2, 1, 4, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 4, 2, 0, 0, 1, 1, 0, 4, 3, 1, 3, 2, 2, 1, 2, 0, 0, 3, 2, 3, 4, 2, 1, 0, 4, 3, 2, 1, 3, 3, 0, 4, 1, 0, 3, 3, 2, 2, 2, 0, 0, 4, 1, 1, 2, 2, 1, 1, 2, 3, 0, 0, 1, 4, 0, 0, 0, 3, 1, 3, 1, 1, 4, 0, 4, 1, 4, 2, 3, 0, 1, 2, 0, 0, 2, 0, 4, 4, 3, 4, 0, 0, 2, 1, 2, 1, 4, 2, 4, 3, 1, 1, 2, 0, 3, 4, 1, 4, 4, 0, 2, 3, 1, 4, 2, 0, 1, 4, 3, 1, 2, 4, 4, 0, 1, 2, 2, 3, 1, 4, 2, 3, 0, 1, 1, 4, 4, 3, 0, 1, 1, 2, 3, 4, 3, 2, 1, 1, 1, 3, 4, 3, 1, 2, 0, 4, 4, 0, 4, 4, 2, 1, 3, 1, 3, 3, 2, 1, 4, 2, 2, 1, 0, 3, 1, 1, 2, 0, 0, 0, 3, 4, 3, 0, 2, 1, 3, 3, 1, 2, 1, 1, 2, 2, 0, 3, 1] pubkeycol1626 = [3, 1, 0, 0, 2, 2, 2, 3, 4, 2, 1, 0, 0, 4, 3, 4, 1, 4, 0, 0, 1, 4, 0, 3, 1, 2, 1, 2, 1, 1, 0, 4, 4, 3, 3, 1, 3, 4, 0, 0, 2, 4, 4, 3, 0, 1, 2, 3, 3, 0, 1, 3, 0, 3, 1, 2, 3, 2, 0, 4, 2, 1, 3, 0, 4, 3, 4, 2, 1, 3, 0, 4, 2, 2, 1, 0, 3, 2, 1, 0, 4, 0, 3, 4, 1, 4, 0, 0, 2, 2, 1, 3, 2, 1, 2, 0, 2, 2, 2, 0, 0, 3, 0, 0, 1, 1, 2, 0, 2, 4, 3, 0, 0, 2, 1, 1, 3, 3, 0, 4, 2, 4, 1, 4, 3, 1, 2, 3, 3, 3, 1, 0, 0, 4, 4, 3, 2, 1, 3, 1, 0, 2, 0, 0, 4, 4, 3, 0, 0, 4, 1, 4, 2, 4, 1, 0, 3, 4, 3, 0, 4, 0, 0, 2, 4, 3, 3, 1, 4, 2, 1, 2, 0, 1, 3, 2, 3, 3, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 3, 2, 3, 4, 3, 4, 1, 1, 2, 2, 3, 3, 4, 3, 2, 1, 2, 4, 1, 3, 0, 1, 3, 3, 4, 4, 4, 2, 1, 4, 0, 1, 1, 3, 3, 0, 2, 0, 4, 2, 3, 3, 4, 4, 3, 0, 4, 3, 2, 4, 1, 0, 4, 3, 3, 4, 0, 3, 1, 2, 4, 4, 2, 3, 0, 4, 4, 3, 4, 0, 1, 0, 1, 4, 1, 1, 2, 0, 2, 4, 4, 3, 4, 1, 2, 3, 0, 1, 1, 3, 2, 1, 4, 1, 4, 4, 3, 1, 4, 3, 0, 3, 1, 2, 3, 0, 2, 4, 2, 0, 2, 0, 1, 3, 4, 0, 1, 4, 0, 1, 1, 1, 0, 1, 3, 4, 3, 3, 3, 4, 1, 2, 0, 1, 3, 4, 1, 2, 1, 4, 3, 3, 2, 1, 2, 3, 0, 4, 0, 4, 2, 1, 0, 3, 4, 1, 0, 3, 0, 2, 3, 4, 1, 2, 1, 4, 2, 3, 1, 1, 0, 2, 3, 3, 2, 0, 4, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 4, 1, 3, 4, 0, 3, 4, 3, 0, 1, 0, 2, 3, 1, 4, 2, 4, 4, 0, 2, 1, 2, 1, 1] pubkeycol1627 = [1, 4, 1, 2, 3, 4, 0, 0, 1, 3, 3, 4, 0, 4, 0, 3, 2, 2, 1, 1, 2, 3, 4, 0, 3, 0, 3, 1, 1, 3, 3, 4, 1, 0, 4, 3, 2, 4, 1, 2, 2, 1, 4, 0, 2, 0, 3, 2, 3, 0, 2, 4, 0, 1, 2, 1, 1, 1, 3, 2, 3, 1, 3, 3, 0, 0, 3, 1, 2, 4, 2, 1, 1, 2, 1, 0, 3, 1, 1, 3, 4, 2, 3, 4, 1, 3, 1, 1, 2, 0, 0, 4, 3, 3, 4, 4, 4, 3, 2, 2, 2, 1, 3, 4, 4, 0, 3, 0, 0, 2, 4, 3, 3, 2, 3, 1, 0, 1, 3, 2, 0, 2, 1, 1, 3, 4, 3, 0, 3, 0, 3, 1, 0, 2, 3, 2, 0, 4, 3, 1, 4, 2, 1, 2, 1, 2, 2, 4, 2, 0, 1, 2, 2, 4, 0, 4, 0, 4, 4, 4, 1, 0, 1, 4, 2, 4, 0, 3, 4, 3, 4, 3, 4, 3, 0, 0, 1, 2, 2, 0, 4, 0, 1, 4, 0, 4, 2, 3, 2, 0, 3, 4, 4, 4, 0, 0, 3, 4, 3, 4, 2, 4, 4, 3, 0, 1, 2, 4, 4, 3, 3, 2, 4, 4, 4, 2, 0, 2, 4, 3, 0, 4, 1, 2, 0, 4, 2, 1, 2, 0, 1, 0, 4, 0, 1, 0, 3, 0, 4, 0, 3, 3, 4, 0, 4, 3, 3, 1, 1, 2, 2, 0, 0, 4, 0, 1, 3, 2, 2, 4, 1, 3, 3, 1, 2, 3, 1, 1, 2, 1, 0, 0, 1, 3, 2, 3, 2, 1, 4, 1, 4, 3, 0, 2, 4, 2, 1, 1, 1, 4, 3, 2, 4, 2, 4, 1, 3, 3, 0, 4, 4, 3, 3, 4, 1, 2, 2, 1, 1, 1, 1, 1, 3, 4, 1, 4, 3, 3, 0, 4, 4, 4, 0, 2, 2, 3, 2, 0, 0, 0, 2, 2, 4, 0, 3, 1, 0, 2, 0, 2, 0, 4, 2, 0, 2, 2, 1, 2, 4, 0, 4, 0, 1, 0, 1, 4, 4, 1, 0, 2, 1, 3, 3, 0, 1, 2, 0, 1, 1, 3, 0, 2, 4, 2, 1, 0, 3, 1, 4, 0, 2, 0, 3, 4, 4, 4, 1, 3, 3, 0, 1, 4, 0, 4, 1, 2, 1, 4, 3, 2] pubkeycol1628 = [0, 1, 4, 3, 0, 1, 3, 2, 3, 3, 1, 0, 2, 3, 2, 2, 3, 4, 2, 2, 3, 0, 0, 2, 1, 3, 2, 3, 4, 4, 3, 2, 4, 0, 3, 1, 2, 4, 4, 3, 4, 4, 3, 1, 0, 0, 1, 4, 2, 2, 0, 3, 3, 2, 0, 4, 1, 1, 4, 4, 4, 2, 0, 3, 0, 4, 0, 3, 0, 1, 2, 2, 2, 1, 0, 4, 4, 1, 2, 1, 2, 2, 0, 4, 1, 2, 0, 4, 3, 0, 1, 0, 0, 2, 1, 4, 2, 0, 1, 1, 1, 3, 4, 4, 3, 1, 2, 2, 1, 0, 1, 3, 2, 3, 1, 1, 2, 3, 0, 2, 4, 3, 2, 3, 0, 4, 1, 1, 4, 2, 0, 2, 1, 1, 1, 4, 0, 0, 4, 4, 2, 2, 0, 0, 3, 4, 0, 0, 4, 3, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 2, 4, 4, 3, 3, 4, 2, 1, 3, 3, 4, 4, 0, 2, 0, 3, 2, 2, 4, 0, 3, 0, 4, 3, 3, 4, 3, 2, 0, 1, 3, 2, 0, 3, 0, 2, 1, 3, 2, 4, 4, 1, 3, 0, 1, 1, 2, 1, 4, 1, 0, 4, 1, 2, 4, 3, 3, 3, 0, 3, 2, 1, 2, 0, 2, 3, 4, 0, 1, 3, 3, 3, 1, 4, 0, 0, 1, 3, 0, 3, 1, 1, 3, 3, 4, 3, 1, 4, 3, 2, 0, 3, 0, 0, 4, 3, 0, 3, 0, 1, 2, 4, 2, 1, 3, 4, 4, 0, 4, 2, 1, 0, 2, 3, 4, 1, 0, 2, 3, 2, 0, 3, 3, 3, 2, 0, 0, 3, 1, 4, 2, 4, 2, 2, 0, 2, 4, 3, 4, 4, 3, 2, 3, 2, 4, 1, 1, 0, 2, 1, 0, 3, 2, 0, 1, 1, 2, 4, 3, 3, 1, 1, 2, 3, 1, 1, 3, 4, 3, 0, 1, 1, 2, 3, 3, 3, 4, 0, 3, 3, 1, 0, 0, 4, 2, 3, 2, 0, 2, 1, 2, 1, 0, 1, 4, 4, 3, 3, 2, 2, 0, 4, 0, 4, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 4, 3, 1, 3, 4, 0, 2, 4, 0, 4, 4, 3, 4, 4, 3, 4, 0, 2, 2, 4, 3, 1, 3, 2, 0, 2] pubkeycol1629 = [2, 4, 3, 3, 4, 2, 2, 2, 1, 1, 4, 2, 3, 2, 3, 3, 3, 2, 1, 0, 2, 1, 0, 3, 1, 1, 0, 2, 4, 0, 2, 3, 3, 1, 0, 3, 4, 3, 0, 0, 0, 3, 0, 3, 4, 2, 0, 4, 2, 4, 0, 1, 3, 1, 2, 2, 0, 2, 1, 2, 4, 2, 2, 4, 2, 1, 0, 4, 4, 4, 1, 1, 0, 2, 0, 4, 0, 4, 0, 0, 2, 3, 0, 3, 2, 2, 4, 3, 4, 4, 1, 1, 3, 1, 3, 4, 2, 3, 2, 4, 4, 4, 4, 3, 2, 0, 4, 2, 4, 1, 1, 0, 4, 2, 2, 4, 2, 2, 3, 3, 4, 1, 4, 0, 0, 0, 2, 0, 3, 2, 0, 1, 4, 0, 2, 0, 2, 2, 3, 0, 2, 1, 0, 0, 3, 1, 3, 4, 0, 1, 2, 3, 2, 2, 4, 2, 2, 0, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 3, 0, 0, 4, 4, 3, 4, 4, 3, 4, 0, 4, 4, 4, 1, 1, 1, 2, 3, 0, 0, 2, 4, 2, 0, 3, 3, 2, 0, 4, 3, 4, 2, 2, 4, 4, 1, 1, 1, 2, 4, 3, 4, 1, 4, 3, 0, 0, 2, 3, 1, 0, 2, 3, 0, 4, 3, 0, 2, 4, 2, 1, 3, 4, 4, 4, 3, 3, 0, 0, 2, 1, 4, 4, 4, 0, 1, 1, 4, 0, 3, 1, 1, 4, 3, 4, 3, 1, 0, 2, 3, 4, 1, 2, 2, 2, 3, 3, 0, 4, 0, 2, 2, 1, 0, 1, 1, 3, 3, 4, 0, 1, 2, 3, 0, 2, 2, 0, 3, 3, 2, 1, 1, 2, 1, 3, 3, 4, 4, 2, 4, 1, 2, 0, 1, 0, 1, 0, 3, 1, 1, 4, 1, 0, 2, 1, 3, 1, 1, 1, 4, 1, 0, 2, 4, 4, 2, 2, 2, 3, 2, 2, 3, 2, 1, 0, 2, 4, 2, 4, 1, 1, 4, 2, 4, 4, 4, 1, 4, 4, 4, 3, 2, 1, 4, 2, 1, 1, 4, 2, 4, 1, 2, 4, 2, 3, 1, 0, 1, 1, 1, 3, 4, 2, 4, 2, 0, 1, 0, 4, 2, 0, 3, 1, 2, 1, 2, 4, 0, 4, 4, 2, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol1630 = [2, 3, 0, 2, 4, 2, 0, 4, 3, 2, 1, 4, 4, 1, 4, 4, 3, 0, 1, 1, 3, 4, 1, 2, 1, 3, 3, 4, 4, 4, 3, 3, 2, 2, 4, 1, 3, 3, 2, 3, 1, 2, 0, 1, 3, 4, 0, 0, 0, 0, 2, 0, 1, 0, 2, 4, 0, 4, 4, 1, 2, 1, 1, 1, 4, 4, 4, 1, 3, 1, 4, 0, 3, 1, 4, 2, 1, 0, 4, 4, 0, 3, 3, 3, 2, 2, 1, 1, 2, 1, 2, 0, 2, 3, 3, 2, 0, 4, 3, 1, 1, 2, 0, 4, 4, 3, 3, 4, 3, 0, 0, 0, 2, 3, 2, 0, 4, 2, 3, 1, 3, 4, 1, 4, 2, 2, 0, 4, 4, 4, 0, 1, 1, 1, 1, 0, 4, 2, 1, 3, 2, 3, 1, 2, 2, 3, 3, 4, 0, 0, 2, 2, 1, 4, 4, 4, 3, 3, 3, 3, 1, 2, 0, 0, 1, 3, 2, 2, 1, 3, 0, 0, 1, 4, 2, 4, 0, 2, 0, 3, 4, 2, 0, 3, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 3, 3, 1, 2, 3, 0, 1, 0, 1, 1, 0, 3, 3, 1, 4, 0, 4, 0, 4, 4, 1, 0, 2, 3, 1, 0, 3, 1, 2, 3, 0, 0, 4, 3, 1, 3, 1, 2, 1, 0, 1, 1, 2, 1, 2, 4, 4, 3, 1, 2, 0, 0, 0, 3, 0, 4, 4, 4, 2, 1, 0, 1, 3, 1, 4, 3, 2, 4, 2, 2, 0, 1, 0, 0, 1, 2, 3, 0, 2, 2, 2, 2, 3, 4, 1, 4, 0, 2, 1, 2, 3, 4, 1, 0, 1, 4, 0, 1, 0, 1, 4, 2, 1, 1, 2, 3, 3, 3, 4, 2, 4, 3, 4, 1, 2, 4, 4, 0, 3, 3, 3, 1, 1, 1, 1, 4, 3, 2, 1, 4, 4, 1, 1, 1, 0, 1, 0, 2, 2, 0, 3, 0, 2, 1, 4, 2, 1, 0, 2, 1, 0, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 0, 0, 0, 1, 2, 2, 0, 1, 3, 4, 0, 4, 3, 3, 3, 2, 3, 3, 2, 0, 2, 0, 1, 2, 2, 2, 3, 3, 2, 2, 2, 0, 2, 4, 2, 2, 3, 4, 2, 2, 0, 0, 1, 3] pubkeycol1631 = [4, 2, 3, 4, 0, 0, 2, 0, 2, 1, 0, 4, 2, 4, 1, 0, 1, 3, 2, 3, 3, 4, 4, 3, 2, 1, 2, 3, 4, 4, 2, 1, 2, 4, 1, 0, 1, 3, 4, 4, 2, 4, 3, 3, 3, 3, 1, 3, 0, 1, 2, 3, 1, 4, 1, 0, 3, 0, 2, 0, 4, 4, 0, 3, 2, 0, 4, 2, 2, 4, 0, 3, 0, 0, 2, 2, 0, 2, 4, 4, 0, 1, 1, 1, 0, 3, 1, 4, 0, 3, 3, 2, 2, 1, 0, 0, 2, 4, 3, 0, 3, 3, 3, 1, 2, 4, 0, 3, 2, 0, 0, 3, 1, 3, 3, 3, 2, 2, 0, 2, 0, 2, 3, 1, 4, 1, 4, 2, 3, 3, 2, 0, 2, 3, 4, 0, 3, 2, 0, 0, 1, 0, 3, 3, 4, 1, 4, 2, 0, 2, 2, 3, 2, 2, 4, 4, 0, 3, 3, 2, 0, 2, 3, 1, 1, 2, 1, 3, 4, 3, 0, 3, 1, 0, 1, 3, 2, 4, 0, 1, 2, 1, 1, 0, 3, 2, 3, 0, 1, 2, 2, 4, 1, 4, 1, 4, 1, 0, 4, 0, 1, 1, 2, 3, 2, 3, 2, 1, 2, 1, 0, 2, 2, 3, 4, 3, 4, 4, 1, 2, 4, 4, 2, 2, 4, 1, 0, 3, 3, 3, 4, 4, 2, 2, 2, 3, 0, 0, 0, 4, 3, 3, 0, 0, 2, 4, 3, 3, 0, 3, 3, 1, 4, 3, 3, 3, 4, 3, 3, 4, 4, 0, 3, 4, 0, 4, 3, 1, 2, 4, 1, 3, 2, 1, 4, 4, 4, 0, 1, 3, 0, 1, 4, 3, 2, 0, 0, 4, 1, 4, 3, 3, 4, 2, 3, 4, 3, 3, 0, 1, 4, 3, 3, 2, 0, 1, 2, 4, 3, 2, 0, 4, 0, 1, 0, 0, 1, 1, 3, 4, 4, 0, 4, 0, 2, 2, 1, 1, 3, 0, 2, 4, 1, 4, 0, 1, 4, 4, 3, 3, 2, 2, 3, 2, 0, 2, 0, 0, 0, 0, 4, 1, 2, 2, 3, 3, 3, 2, 0, 2, 0, 2, 4, 0, 1, 0, 0, 3, 3, 1, 0, 1, 2, 4, 2, 1, 3, 0, 0, 1, 4, 1, 2, 1, 4, 4, 4, 0, 0, 2, 2, 1, 4, 2, 3, 0, 0, 2, 4, 4] pubkeycol1632 = [0, 4, 2, 1, 4, 4, 2, 4, 0, 0, 3, 4, 3, 0, 1, 0, 1, 3, 3, 3, 4, 4, 3, 2, 4, 0, 0, 2, 4, 3, 0, 4, 0, 2, 2, 2, 4, 0, 3, 0, 4, 0, 0, 0, 3, 2, 2, 1, 1, 3, 4, 2, 3, 2, 1, 0, 1, 4, 4, 4, 1, 0, 4, 2, 0, 2, 1, 1, 0, 3, 4, 0, 4, 4, 0, 1, 3, 3, 1, 2, 4, 2, 4, 4, 0, 2, 0, 1, 4, 4, 0, 0, 3, 4, 0, 2, 4, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 3, 4, 4, 4, 2, 4, 3, 1, 4, 4, 3, 2, 0, 2, 4, 0, 0, 3, 4, 4, 1, 4, 3, 0, 3, 3, 3, 2, 3, 0, 4, 3, 0, 1, 2, 3, 4, 4, 3, 3, 0, 4, 1, 2, 2, 2, 3, 0, 0, 0, 1, 0, 4, 3, 2, 1, 3, 2, 0, 3, 0, 2, 2, 3, 0, 3, 2, 2, 1, 1, 2, 0, 4, 2, 0, 3, 4, 2, 0, 2, 1, 2, 2, 3, 2, 1, 2, 1, 4, 4, 1, 1, 4, 2, 4, 1, 1, 0, 3, 0, 0, 2, 2, 1, 1, 3, 2, 1, 3, 1, 1, 0, 1, 0, 3, 0, 4, 1, 0, 2, 2, 0, 0, 3, 1, 3, 3, 0, 3, 3, 1, 2, 4, 2, 2, 3, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 4, 0, 2, 0, 1, 3, 3, 1, 4, 3, 3, 2, 4, 0, 1, 3, 1, 2, 3, 1, 3, 4, 2, 0, 1, 3, 1, 4, 2, 0, 3, 0, 1, 0, 2, 2, 4, 4, 1, 4, 0, 2, 1, 1, 2, 3, 1, 1, 3, 4, 1, 4, 1, 1, 4, 4, 2, 1, 3, 1, 1, 3, 3, 3, 1, 4, 2, 0, 2, 1, 2, 1, 0, 4, 1, 2, 4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 4, 2, 2, 2, 3, 2, 3, 0, 1, 2, 0, 3, 3, 0, 2, 4, 1, 4, 1, 4, 0, 0, 2, 1, 1, 4, 3, 3, 3, 3, 4, 2, 1, 0, 4, 2, 2, 2, 2, 0, 3, 1, 4, 0, 3, 4, 3, 4, 1, 2, 2, 0, 0, 3, 2, 1, 1, 2, 0, 1, 1] pubkeycol1633 = [0, 3, 4, 1, 1, 3, 0, 3, 1, 3, 3, 0, 1, 4, 2, 2, 2, 4, 2, 4, 1, 0, 4, 2, 2, 2, 1, 2, 4, 3, 4, 1, 2, 1, 2, 3, 3, 3, 0, 4, 4, 2, 2, 4, 4, 1, 3, 4, 2, 0, 2, 1, 3, 2, 2, 0, 0, 4, 0, 2, 4, 0, 2, 4, 3, 0, 4, 2, 2, 4, 1, 2, 1, 4, 4, 0, 1, 4, 1, 4, 2, 3, 3, 3, 1, 3, 4, 3, 1, 0, 1, 4, 2, 1, 3, 3, 0, 1, 3, 1, 0, 4, 1, 2, 1, 0, 4, 1, 2, 2, 4, 1, 2, 2, 2, 2, 3, 1, 0, 2, 1, 2, 2, 3, 0, 0, 1, 2, 2, 2, 3, 0, 3, 2, 4, 4, 0, 0, 4, 4, 3, 2, 2, 3, 4, 0, 0, 0, 2, 2, 2, 0, 4, 4, 4, 3, 0, 4, 4, 4, 2, 1, 2, 4, 3, 0, 2, 3, 0, 0, 1, 4, 2, 1, 4, 1, 0, 0, 3, 3, 2, 4, 4, 3, 3, 0, 3, 3, 3, 4, 3, 4, 3, 2, 1, 4, 2, 2, 1, 4, 0, 2, 4, 2, 4, 2, 0, 1, 1, 3, 1, 3, 4, 3, 1, 4, 4, 1, 0, 1, 1, 1, 0, 2, 3, 3, 0, 4, 3, 0, 3, 0, 2, 4, 0, 2, 2, 3, 0, 1, 4, 4, 3, 2, 4, 3, 4, 2, 4, 0, 4, 0, 2, 1, 1, 4, 0, 3, 2, 1, 1, 1, 2, 2, 2, 0, 4, 0, 0, 4, 2, 4, 1, 3, 3, 1, 1, 0, 4, 1, 4, 3, 1, 4, 2, 1, 0, 2, 3, 0, 3, 0, 2, 3, 4, 1, 3, 0, 0, 0, 0, 1, 1, 1, 0, 2, 4, 2, 4, 0, 1, 3, 0, 1, 3, 1, 3, 0, 1, 0, 2, 2, 3, 2, 0, 4, 3, 0, 2, 1, 3, 0, 2, 0, 3, 0, 3, 1, 4, 4, 3, 1, 1, 0, 2, 2, 3, 4, 3, 1, 2, 4, 0, 4, 2, 4, 1, 0, 3, 0, 3, 1, 1, 3, 1, 0, 3, 1, 2, 3, 3, 4, 1, 4, 0, 0, 3, 2, 0, 1, 2, 0, 1, 1, 1, 1, 3, 4, 2, 0, 4, 0, 0, 4, 1, 2, 2, 3, 4, 3] pubkeycol1634 = [3, 2, 0, 4, 0, 2, 2, 1, 4, 1, 3, 3, 2, 0, 1, 3, 3, 2, 4, 0, 1, 3, 1, 4, 4, 4, 1, 0, 0, 2, 0, 4, 1, 3, 2, 1, 2, 0, 4, 4, 0, 1, 3, 1, 1, 4, 2, 4, 0, 0, 2, 4, 0, 2, 2, 3, 4, 2, 4, 2, 4, 0, 2, 2, 2, 0, 4, 1, 3, 4, 2, 4, 0, 0, 3, 4, 4, 4, 2, 1, 0, 2, 1, 3, 0, 1, 4, 4, 4, 4, 3, 4, 3, 4, 1, 0, 4, 2, 3, 1, 0, 1, 4, 1, 3, 2, 3, 0, 3, 3, 3, 0, 0, 4, 4, 2, 0, 4, 2, 3, 4, 4, 4, 3, 3, 1, 2, 2, 3, 2, 1, 1, 1, 3, 0, 4, 0, 3, 1, 2, 2, 2, 4, 1, 1, 4, 1, 2, 4, 2, 0, 4, 2, 1, 2, 1, 0, 2, 2, 2, 4, 0, 3, 3, 2, 4, 1, 1, 2, 1, 0, 2, 0, 3, 1, 2, 1, 1, 4, 1, 3, 3, 1, 4, 4, 4, 3, 3, 2, 4, 2, 3, 2, 4, 4, 4, 4, 3, 0, 1, 1, 3, 2, 1, 3, 2, 0, 4, 1, 4, 1, 3, 1, 0, 3, 0, 1, 3, 2, 3, 2, 3, 4, 0, 0, 0, 3, 0, 4, 1, 2, 4, 4, 3, 1, 0, 1, 2, 3, 2, 0, 4, 2, 0, 1, 0, 0, 1, 4, 4, 3, 1, 0, 3, 3, 1, 4, 3, 0, 4, 3, 1, 1, 1, 0, 0, 3, 0, 4, 0, 4, 0, 2, 3, 4, 0, 0, 0, 4, 4, 3, 3, 2, 0, 3, 3, 1, 3, 1, 0, 3, 0, 2, 1, 2, 3, 4, 2, 2, 3, 0, 1, 3, 4, 2, 1, 2, 4, 4, 4, 0, 3, 4, 3, 0, 2, 2, 0, 4, 1, 2, 1, 4, 4, 1, 1, 4, 4, 1, 1, 0, 4, 2, 4, 4, 1, 4, 3, 1, 0, 0, 0, 2, 3, 2, 0, 2, 1, 0, 2, 1, 0, 1, 4, 2, 4, 3, 0, 2, 0, 3, 1, 4, 3, 0, 2, 2, 1, 0, 0, 0, 3, 0, 1, 2, 1, 3, 3, 1, 4, 2, 1, 0, 2, 3, 4, 2, 4, 2, 4, 4, 0, 2, 3, 2, 2, 3, 0, 3, 0] pubkeycol1635 = [0, 0, 0, 4, 4, 0, 1, 3, 4, 4, 3, 0, 3, 1, 1, 1, 2, 0, 0, 2, 2, 4, 1, 4, 2, 4, 2, 0, 3, 0, 4, 3, 4, 1, 2, 1, 2, 0, 0, 4, 0, 2, 0, 4, 2, 1, 3, 1, 4, 2, 3, 0, 0, 3, 4, 0, 0, 3, 1, 0, 2, 4, 3, 3, 1, 0, 3, 3, 1, 2, 3, 3, 4, 0, 0, 4, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 4, 1, 1, 2, 1, 0, 1, 3, 4, 3, 4, 0, 4, 3, 2, 4, 1, 0, 0, 0, 2, 0, 1, 3, 4, 3, 1, 4, 4, 0, 3, 2, 0, 0, 1, 4, 3, 3, 4, 3, 4, 4, 3, 1, 0, 3, 0, 3, 4, 4, 1, 1, 2, 1, 4, 3, 0, 2, 2, 4, 1, 0, 4, 3, 1, 1, 3, 4, 4, 4, 1, 2, 0, 3, 2, 2, 2, 3, 2, 0, 2, 0, 0, 4, 1, 0, 3, 3, 1, 3, 1, 0, 1, 2, 3, 0, 4, 4, 1, 0, 2, 4, 4, 0, 1, 3, 0, 2, 2, 3, 0, 3, 2, 0, 4, 2, 3, 3, 3, 4, 1, 3, 3, 3, 3, 2, 0, 4, 4, 1, 0, 3, 1, 3, 1, 4, 2, 0, 1, 4, 0, 1, 2, 3, 3, 1, 2, 4, 0, 3, 0, 4, 4, 1, 2, 1, 2, 0, 4, 1, 1, 4, 1, 2, 4, 2, 2, 4, 4, 4, 2, 0, 1, 1, 0, 0, 1, 0, 2, 3, 0, 3, 4, 1, 4, 2, 1, 1, 0, 3, 3, 4, 4, 2, 2, 2, 3, 2, 3, 0, 2, 1, 4, 2, 2, 1, 2, 2, 4, 1, 4, 2, 4, 4, 1, 0, 0, 4, 2, 3, 0, 3, 1, 0, 4, 2, 4, 2, 3, 2, 3, 3, 0, 3, 4, 3, 0, 2, 3, 2, 0, 3, 4, 3, 2, 1, 3, 3, 1, 3, 3, 4, 3, 3, 2, 1, 1, 3, 4, 0, 3, 0, 3, 1, 2, 1, 3, 1, 2, 4, 0, 4, 3, 2, 0, 0, 0, 2, 0, 3, 0, 2, 1, 2, 3, 1, 4, 3, 1, 3, 0, 1, 0, 3, 0, 0, 1, 1, 2, 4, 2, 1, 2, 4, 3, 0, 2, 4, 1, 4] pubkeycol1636 = [4, 0, 3, 1, 3, 0, 4, 2, 2, 2, 3, 1, 1, 1, 1, 2, 2, 1, 2, 2, 4, 2, 3, 0, 3, 0, 3, 2, 4, 3, 2, 3, 4, 4, 4, 1, 1, 0, 2, 2, 4, 1, 1, 1, 4, 3, 2, 0, 4, 0, 1, 4, 0, 1, 4, 2, 1, 3, 0, 4, 0, 3, 4, 4, 0, 4, 4, 2, 3, 2, 4, 3, 3, 2, 2, 0, 2, 0, 3, 1, 4, 4, 0, 0, 1, 2, 4, 1, 2, 0, 0, 2, 0, 4, 2, 4, 2, 1, 1, 3, 4, 0, 3, 2, 4, 0, 2, 1, 4, 1, 0, 4, 0, 2, 0, 4, 4, 4, 1, 4, 3, 3, 2, 3, 2, 4, 3, 3, 2, 2, 2, 0, 1, 3, 3, 4, 0, 0, 4, 3, 3, 1, 0, 3, 2, 1, 2, 3, 3, 3, 1, 1, 1, 0, 3, 3, 0, 3, 1, 2, 1, 4, 0, 4, 1, 2, 4, 1, 3, 1, 2, 3, 0, 1, 4, 4, 0, 0, 2, 4, 3, 2, 2, 4, 0, 2, 0, 2, 3, 3, 1, 0, 3, 3, 1, 3, 1, 0, 2, 3, 4, 3, 2, 0, 1, 1, 4, 2, 0, 1, 0, 0, 0, 4, 2, 4, 0, 4, 0, 3, 4, 4, 3, 1, 1, 1, 0, 0, 3, 3, 1, 3, 2, 1, 3, 0, 0, 3, 1, 3, 1, 1, 3, 4, 4, 1, 2, 4, 2, 0, 4, 0, 1, 3, 4, 3, 4, 4, 3, 1, 3, 2, 3, 2, 2, 3, 1, 0, 2, 0, 4, 0, 3, 3, 2, 3, 4, 2, 1, 1, 3, 3, 3, 4, 2, 3, 3, 1, 4, 2, 0, 1, 0, 4, 0, 2, 4, 4, 0, 4, 1, 4, 2, 2, 2, 2, 0, 3, 3, 2, 2, 3, 4, 4, 1, 4, 4, 1, 0, 4, 2, 2, 0, 0, 4, 4, 3, 0, 4, 3, 3, 0, 2, 1, 1, 3, 4, 3, 2, 4, 0, 1, 3, 1, 3, 3, 1, 3, 1, 2, 4, 0, 4, 2, 2, 3, 1, 2, 3, 3, 0, 3, 2, 3, 3, 0, 1, 2, 2, 2, 0, 2, 0, 3, 0, 0, 0, 1, 4, 2, 1, 4, 3, 2, 3, 2, 0, 1, 1, 4, 2, 0, 0, 0, 2, 2, 0, 3, 3, 3] pubkeycol1637 = [0, 0, 4, 1, 4, 1, 0, 2, 3, 1, 1, 3, 1, 3, 1, 3, 2, 2, 1, 0, 4, 3, 0, 3, 2, 0, 1, 3, 4, 3, 3, 1, 0, 4, 3, 0, 3, 4, 4, 4, 3, 3, 2, 4, 1, 2, 1, 3, 3, 3, 3, 2, 1, 4, 4, 2, 3, 0, 3, 1, 4, 1, 4, 4, 0, 4, 4, 2, 3, 3, 4, 3, 3, 1, 2, 3, 2, 4, 0, 3, 2, 4, 3, 0, 2, 4, 1, 0, 4, 3, 0, 4, 3, 3, 4, 1, 4, 1, 3, 3, 2, 1, 1, 0, 3, 0, 0, 3, 3, 1, 1, 3, 3, 1, 3, 3, 0, 4, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 3, 3, 0, 0, 2, 1, 0, 4, 0, 4, 2, 4, 0, 3, 3, 4, 1, 1, 2, 1, 4, 4, 2, 1, 2, 1, 3, 0, 1, 4, 3, 3, 0, 4, 3, 1, 3, 4, 1, 0, 0, 0, 0, 0, 4, 4, 3, 1, 3, 1, 4, 0, 2, 4, 1, 1, 3, 2, 0, 3, 3, 3, 1, 3, 2, 0, 4, 4, 4, 0, 0, 2, 2, 1, 4, 1, 3, 2, 4, 0, 2, 3, 0, 1, 0, 0, 3, 1, 3, 3, 4, 2, 2, 3, 4, 4, 2, 1, 0, 3, 2, 4, 0, 2, 3, 0, 3, 2, 2, 3, 2, 3, 4, 1, 4, 2, 3, 3, 2, 4, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 4, 4, 1, 4, 0, 4, 4, 0, 2, 3, 0, 0, 2, 4, 1, 3, 0, 2, 3, 3, 2, 3, 4, 0, 1, 0, 4, 2, 4, 2, 0, 0, 2, 0, 4, 3, 0, 3, 2, 4, 0, 3, 2, 3, 3, 2, 3, 2, 0, 3, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 4, 1, 3, 2, 0, 0, 1, 3, 4, 1, 2, 2, 1, 1, 3, 3, 2, 3, 2, 1, 0, 0, 2, 3, 0, 0, 0, 1, 1, 0, 4, 4, 0, 3, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 3, 1, 4, 1, 2, 2, 3, 1, 1, 1, 2, 1, 1, 4, 0, 4, 2, 4, 3, 1, 3, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2] pubkeycol1638 = [2, 3, 3, 1, 4, 1, 1, 1, 3, 3, 2, 3, 4, 0, 4, 1, 1, 1, 2, 2, 3, 2, 2, 1, 4, 2, 2, 1, 0, 3, 0, 2, 1, 4, 4, 0, 4, 3, 4, 0, 0, 4, 4, 3, 3, 2, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 1, 3, 2, 0, 2, 3, 1, 2, 4, 3, 0, 1, 3, 3, 3, 3, 2, 0, 1, 1, 4, 0, 0, 1, 1, 1, 0, 2, 2, 0, 3, 0, 1, 1, 4, 1, 0, 0, 3, 1, 0, 1, 0, 0, 2, 3, 1, 4, 2, 4, 4, 4, 1, 2, 2, 2, 4, 3, 0, 1, 0, 3, 2, 3, 4, 3, 1, 3, 2, 2, 3, 4, 2, 3, 4, 4, 1, 0, 2, 4, 0, 2, 0, 2, 1, 4, 0, 1, 0, 1, 4, 3, 4, 3, 3, 2, 4, 3, 3, 0, 1, 4, 2, 2, 0, 3, 1, 4, 0, 2, 4, 4, 3, 2, 1, 0, 0, 4, 4, 2, 3, 4, 1, 4, 3, 3, 2, 1, 1, 0, 3, 4, 4, 1, 1, 4, 3, 4, 3, 3, 1, 1, 2, 2, 4, 4, 4, 0, 1, 2, 3, 1, 1, 1, 0, 1, 1, 1, 4, 0, 2, 4, 3, 1, 0, 3, 3, 2, 2, 1, 2, 1, 1, 4, 0, 2, 3, 1, 1, 4, 3, 3, 4, 2, 1, 2, 4, 0, 4, 2, 0, 2, 0, 4, 4, 2, 0, 4, 1, 4, 4, 3, 0, 3, 4, 3, 4, 2, 4, 1, 2, 4, 4, 0, 3, 4, 2, 1, 0, 2, 2, 1, 4, 4, 1, 0, 0, 2, 1, 4, 0, 4, 0, 2, 4, 3, 4, 3, 4, 3, 1, 0, 2, 0, 0, 4, 3, 1, 4, 3, 4, 4, 0, 4, 0, 0, 0, 1, 0, 2, 4, 0, 0, 1, 0, 4, 2, 2, 0, 2, 2, 4, 3, 4, 4, 2, 1, 0, 3, 0, 0, 2, 2, 0, 2, 3, 2, 0, 1, 4, 2, 3, 0, 1, 0, 2, 0, 1, 4, 2, 3, 0, 0, 1, 4, 1, 4, 4, 0, 2, 4, 0, 4, 0, 1, 2, 2, 4, 3, 2, 2, 4, 2, 0, 2, 1, 3, 0, 0, 3, 2, 1, 2, 2, 0, 4, 0, 3, 0, 4, 0, 3, 3] pubkeycol1639 = [0, 0, 0, 0, 4, 2, 3, 0, 0, 2, 0, 2, 3, 4, 3, 0, 2, 4, 0, 0, 0, 4, 2, 0, 4, 0, 1, 4, 4, 4, 2, 1, 4, 3, 2, 2, 4, 1, 0, 1, 3, 2, 4, 1, 1, 4, 0, 1, 0, 2, 3, 1, 0, 3, 1, 3, 4, 0, 0, 2, 4, 4, 0, 2, 3, 1, 1, 2, 0, 4, 0, 2, 1, 2, 2, 0, 0, 2, 0, 4, 3, 0, 1, 2, 3, 1, 0, 2, 3, 0, 3, 2, 4, 0, 2, 3, 0, 0, 1, 2, 4, 0, 2, 3, 1, 3, 1, 1, 0, 4, 3, 0, 1, 1, 3, 1, 2, 2, 1, 1, 3, 0, 3, 1, 1, 4, 0, 2, 0, 4, 2, 3, 2, 0, 2, 2, 3, 3, 3, 1, 0, 2, 1, 0, 2, 4, 2, 4, 1, 3, 4, 4, 2, 2, 2, 1, 4, 1, 0, 2, 1, 4, 0, 1, 2, 2, 0, 3, 4, 3, 1, 3, 0, 1, 1, 3, 0, 3, 1, 3, 2, 4, 2, 3, 1, 2, 2, 1, 0, 1, 1, 3, 2, 1, 4, 0, 1, 3, 0, 2, 2, 3, 1, 4, 3, 2, 4, 1, 4, 4, 3, 3, 2, 1, 3, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 3, 1, 2, 1, 0, 4, 2, 4, 2, 2, 0, 1, 4, 2, 0, 4, 2, 2, 2, 4, 3, 4, 4, 3, 1, 4, 3, 4, 2, 4, 4, 3, 3, 4, 0, 2, 0, 2, 2, 3, 4, 3, 0, 4, 4, 3, 4, 0, 2, 1, 0, 0, 1, 1, 0, 3, 3, 3, 3, 0, 4, 0, 1, 1, 4, 3, 1, 1, 3, 1, 1, 4, 2, 3, 1, 4, 2, 0, 4, 2, 4, 3, 0, 0, 0, 1, 3, 4, 3, 4, 1, 3, 0, 4, 1, 3, 3, 0, 3, 0, 4, 0, 4, 2, 0, 0, 0, 2, 1, 4, 0, 3, 1, 2, 2, 1, 4, 2, 1, 0, 1, 4, 1, 4, 3, 1, 4, 3, 4, 4, 3, 3, 0, 2, 2, 0, 3, 2, 2, 0, 4, 4, 0, 3, 1, 3, 2, 1, 2, 1, 2, 4, 0, 4, 2, 0, 0, 3, 1, 2, 1, 3, 4, 1, 1, 4, 4, 3, 0, 2, 1, 4, 2, 0, 0] pubkeycol1640 = [2, 0, 1, 3, 1, 0, 3, 4, 4, 2, 1, 2, 2, 4, 4, 3, 2, 3, 1, 2, 4, 0, 0, 4, 2, 4, 2, 2, 4, 1, 1, 0, 1, 3, 4, 3, 1, 3, 3, 3, 4, 4, 2, 2, 2, 3, 3, 0, 2, 0, 4, 0, 4, 1, 2, 0, 0, 2, 1, 4, 2, 4, 4, 4, 0, 1, 3, 1, 1, 2, 0, 4, 2, 3, 3, 2, 1, 3, 1, 4, 1, 4, 2, 1, 0, 2, 4, 0, 0, 4, 1, 1, 1, 2, 1, 4, 2, 4, 2, 2, 2, 3, 1, 1, 1, 3, 0, 1, 2, 0, 2, 3, 2, 4, 0, 4, 1, 4, 2, 3, 1, 4, 0, 3, 4, 1, 3, 4, 3, 3, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 3, 0, 1, 2, 0, 4, 1, 1, 1, 0, 3, 2, 2, 1, 3, 4, 2, 4, 3, 3, 4, 1, 1, 4, 1, 0, 1, 1, 4, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 4, 2, 1, 1, 2, 1, 3, 3, 3, 0, 2, 0, 1, 2, 3, 2, 4, 1, 0, 3, 0, 2, 2, 1, 3, 0, 1, 3, 3, 1, 1, 3, 0, 1, 2, 3, 4, 4, 2, 0, 3, 1, 2, 0, 2, 3, 2, 0, 1, 4, 4, 1, 4, 4, 2, 3, 1, 2, 1, 3, 4, 1, 3, 3, 3, 3, 3, 4, 1, 0, 2, 1, 2, 2, 2, 1, 3, 1, 2, 0, 3, 0, 2, 3, 1, 3, 4, 3, 4, 1, 3, 1, 2, 1, 1, 4, 2, 1, 2, 4, 4, 3, 0, 3, 2, 4, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 4, 1, 2, 3, 2, 3, 1, 1, 2, 3, 1, 0, 1, 2, 1, 1, 2, 1, 2, 4, 2, 1, 3, 1, 4, 1, 2, 4, 3, 3, 4, 2, 1, 3, 4, 4, 1, 1, 1, 4, 0, 1, 0, 1, 3, 2, 0, 3, 3, 1, 0, 3, 2, 1, 4, 0, 1, 2, 4, 4, 4, 1, 3, 1, 4, 3, 2, 3, 3, 0, 2, 1, 2, 1, 1, 0, 4, 2, 3, 4, 3, 1, 4, 1, 4, 3, 1, 0, 4, 4, 1, 1, 0, 4, 1, 4] pubkeycol1641 = [2, 2, 1, 4, 2, 1, 0, 2, 2, 0, 3, 3, 4, 3, 1, 1, 0, 4, 0, 0, 2, 3, 4, 2, 1, 3, 0, 4, 1, 0, 1, 3, 3, 2, 2, 2, 1, 1, 1, 2, 4, 1, 2, 2, 4, 4, 4, 3, 4, 1, 1, 1, 2, 0, 4, 4, 4, 0, 2, 0, 1, 0, 1, 4, 0, 4, 4, 3, 2, 3, 1, 2, 2, 0, 4, 0, 1, 0, 3, 0, 4, 1, 0, 1, 0, 0, 4, 2, 1, 0, 3, 3, 0, 2, 1, 3, 1, 3, 2, 0, 2, 2, 3, 0, 2, 1, 0, 2, 4, 1, 3, 4, 4, 2, 0, 0, 2, 4, 0, 0, 4, 1, 2, 3, 2, 2, 2, 4, 2, 2, 3, 1, 0, 2, 4, 1, 1, 1, 3, 0, 4, 4, 4, 1, 1, 4, 4, 3, 0, 3, 2, 1, 3, 0, 2, 3, 3, 0, 2, 3, 4, 3, 3, 4, 0, 2, 1, 2, 3, 4, 3, 4, 4, 4, 4, 1, 3, 0, 3, 0, 4, 0, 1, 2, 2, 4, 3, 4, 3, 3, 1, 1, 3, 1, 1, 1, 4, 0, 0, 3, 2, 2, 3, 3, 3, 1, 3, 0, 2, 4, 1, 3, 0, 3, 0, 3, 2, 4, 0, 0, 1, 3, 2, 1, 0, 2, 1, 2, 4, 1, 0, 0, 3, 0, 3, 1, 4, 1, 2, 3, 0, 4, 4, 4, 1, 2, 4, 3, 1, 4, 0, 1, 2, 4, 2, 4, 1, 4, 3, 2, 1, 2, 3, 2, 4, 3, 3, 4, 2, 4, 0, 2, 3, 1, 1, 1, 2, 3, 1, 2, 0, 3, 2, 0, 0, 3, 0, 2, 0, 0, 4, 4, 4, 1, 3, 0, 0, 1, 0, 1, 4, 2, 1, 3, 4, 0, 2, 4, 0, 1, 4, 1, 0, 1, 2, 2, 4, 3, 2, 1, 2, 3, 0, 2, 4, 2, 1, 3, 3, 3, 0, 4, 4, 0, 1, 4, 1, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 2, 2, 3, 2, 2, 1, 2, 2, 4, 4, 1, 4, 3, 3, 3, 3, 4, 1, 3, 4, 3, 3, 1, 1, 4, 1, 0, 2, 4, 3, 0, 0, 3, 0, 1, 0, 4, 4, 1, 0, 2, 3, 4, 0, 2, 3, 3, 3, 4, 2, 4, 2, 1] pubkeycol1642 = [2, 0, 3, 4, 2, 3, 2, 0, 1, 3, 0, 0, 0, 4, 0, 2, 3, 3, 3, 4, 2, 1, 2, 4, 2, 4, 1, 3, 1, 3, 1, 0, 0, 2, 4, 3, 4, 2, 0, 3, 0, 2, 2, 2, 0, 1, 2, 1, 4, 2, 2, 4, 3, 3, 1, 0, 2, 1, 4, 1, 3, 1, 0, 0, 3, 2, 0, 0, 3, 4, 2, 3, 1, 0, 2, 3, 0, 4, 2, 1, 0, 4, 0, 3, 4, 2, 3, 1, 0, 4, 2, 2, 0, 2, 3, 0, 1, 2, 3, 1, 0, 0, 4, 4, 3, 4, 0, 4, 0, 2, 1, 1, 1, 4, 0, 4, 0, 0, 0, 1, 4, 2, 0, 0, 1, 3, 4, 0, 2, 4, 3, 2, 0, 0, 3, 4, 1, 3, 1, 4, 4, 3, 4, 0, 1, 0, 4, 2, 3, 2, 3, 4, 4, 4, 1, 4, 2, 0, 4, 4, 0, 3, 1, 1, 3, 2, 2, 0, 2, 2, 1, 4, 1, 1, 1, 4, 4, 0, 1, 2, 3, 0, 4, 3, 4, 1, 1, 3, 4, 2, 4, 2, 2, 4, 1, 4, 0, 1, 2, 3, 1, 1, 2, 0, 4, 1, 4, 0, 1, 0, 0, 0, 3, 3, 4, 1, 2, 4, 2, 1, 2, 1, 4, 3, 2, 4, 3, 0, 2, 3, 1, 2, 4, 0, 3, 0, 4, 2, 3, 1, 0, 1, 3, 3, 0, 1, 2, 2, 4, 0, 2, 3, 0, 4, 0, 2, 3, 4, 3, 2, 0, 4, 1, 1, 3, 4, 1, 4, 2, 0, 4, 3, 0, 3, 3, 4, 1, 1, 0, 1, 0, 0, 4, 0, 2, 0, 0, 4, 4, 2, 1, 3, 1, 3, 1, 3, 2, 3, 0, 2, 1, 1, 4, 1, 4, 0, 4, 0, 3, 3, 3, 3, 3, 4, 3, 4, 0, 3, 3, 1, 3, 2, 2, 2, 3, 0, 0, 4, 4, 2, 4, 1, 4, 1, 3, 0, 4, 1, 2, 2, 4, 3, 0, 1, 2, 3, 1, 0, 1, 3, 1, 3, 2, 4, 3, 0, 2, 0, 4, 3, 3, 3, 4, 4, 2, 1, 1, 1, 3, 3, 4, 1, 3, 3, 1, 0, 4, 3, 4, 4, 0, 3, 3, 0, 3, 3, 4, 3, 1, 4, 4, 0, 2, 2, 2, 2, 0, 4, 1, 0] pubkeycol1643 = [3, 0, 0, 1, 3, 4, 3, 4, 1, 4, 1, 1, 0, 3, 4, 2, 2, 4, 4, 2, 0, 1, 1, 4, 4, 3, 0, 2, 4, 0, 4, 3, 3, 3, 2, 4, 4, 4, 1, 4, 0, 0, 4, 3, 1, 3, 2, 2, 1, 3, 1, 0, 4, 0, 4, 2, 1, 0, 2, 1, 3, 2, 0, 4, 4, 2, 2, 2, 1, 1, 1, 3, 2, 0, 1, 2, 3, 3, 4, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 3, 2, 4, 2, 3, 2, 0, 0, 0, 2, 2, 1, 4, 2, 2, 3, 1, 2, 1, 0, 3, 3, 2, 0, 1, 2, 0, 3, 1, 0, 1, 0, 3, 1, 0, 3, 2, 1, 2, 3, 1, 4, 0, 2, 0, 3, 0, 3, 4, 3, 0, 2, 1, 4, 4, 4, 2, 4, 0, 3, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 4, 1, 0, 4, 3, 3, 2, 2, 0, 2, 2, 2, 0, 3, 0, 1, 1, 4, 4, 2, 1, 2, 4, 4, 4, 1, 2, 3, 1, 1, 1, 3, 3, 0, 4, 2, 4, 0, 0, 1, 3, 0, 3, 4, 1, 1, 4, 2, 3, 4, 4, 2, 2, 1, 3, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 4, 3, 0, 0, 3, 1, 3, 0, 1, 0, 2, 4, 3, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 3, 3, 3, 1, 3, 1, 4, 4, 1, 1, 3, 2, 2, 2, 3, 3, 1, 4, 2, 4, 0, 0, 1, 4, 2, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 4, 1, 0, 4, 3, 1, 1, 2, 4, 1, 3, 4, 1, 4, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 1, 3, 0, 0, 2, 1, 4, 3, 0, 4, 4, 0, 2, 0, 2, 0, 2, 0, 4, 3, 2, 1, 2, 3, 0, 2, 1, 3, 1, 2, 1, 2, 4, 4, 3, 2, 0, 2, 0, 0, 2, 4, 2, 4, 0, 0, 4, 0, 3, 2, 3, 1, 4, 1, 2, 3, 2, 1, 1, 1, 4, 0, 1, 1, 1, 0, 0, 1, 3, 2, 1, 4, 4, 3, 0, 3, 4, 1, 2, 4, 0, 2, 0, 0, 2, 2, 3] pubkeycol1644 = [1, 1, 4, 2, 3, 4, 3, 1, 3, 4, 3, 3, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 4, 0, 2, 3, 1, 2, 2, 1, 4, 4, 3, 1, 1, 2, 4, 4, 2, 3, 4, 2, 4, 1, 4, 3, 0, 1, 1, 2, 4, 0, 4, 1, 0, 3, 3, 0, 1, 1, 0, 1, 1, 0, 0, 2, 3, 0, 2, 3, 0, 4, 2, 3, 1, 4, 2, 2, 0, 1, 0, 3, 4, 1, 2, 2, 3, 4, 4, 3, 2, 2, 1, 1, 1, 4, 3, 2, 0, 4, 4, 3, 3, 1, 4, 3, 0, 1, 4, 4, 4, 0, 0, 2, 0, 2, 0, 0, 1, 4, 1, 1, 3, 2, 2, 0, 2, 1, 2, 0, 0, 3, 1, 3, 1, 0, 2, 3, 3, 4, 3, 1, 1, 3, 2, 4, 3, 3, 1, 0, 1, 2, 0, 4, 4, 1, 4, 2, 3, 4, 2, 2, 3, 1, 2, 4, 0, 1, 4, 0, 2, 1, 0, 2, 4, 1, 1, 1, 4, 1, 3, 1, 4, 1, 2, 3, 1, 3, 4, 2, 1, 4, 4, 4, 1, 0, 1, 0, 0, 1, 4, 3, 0, 4, 0, 2, 2, 4, 0, 3, 3, 3, 3, 0, 1, 4, 3, 1, 2, 1, 3, 2, 1, 0, 1, 4, 0, 1, 2, 0, 4, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 3, 0, 1, 2, 2, 4, 1, 2, 3, 1, 1, 4, 1, 0, 2, 2, 2, 4, 3, 3, 2, 3, 4, 1, 2, 4, 3, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 3, 4, 4, 3, 0, 1, 0, 3, 1, 0, 1, 1, 2, 4, 0, 1, 3, 0, 2, 2, 1, 0, 1, 0, 3, 0, 1, 3, 4, 2, 2, 1, 0, 0, 4, 1, 3, 1, 2, 1, 3, 3, 0, 1, 3, 2, 3, 3, 1, 4, 4, 2, 0, 3, 2, 1, 3, 1, 1, 3, 3, 2, 3, 1, 0, 0, 0, 0, 2, 4, 0, 1, 2, 4, 2, 2, 2, 3, 2, 2, 0, 4, 4, 3, 3, 1, 1, 3, 1, 3, 1, 0, 0, 3, 1, 2, 2, 4, 1, 4, 1, 2, 0, 3, 1, 1, 1, 3, 2, 1, 3, 2, 1, 4, 3, 2, 3, 4, 3, 1] pubkeycol1645 = [1, 3, 2, 0, 1, 2, 3, 1, 3, 1, 4, 1, 2, 1, 3, 3, 1, 2, 0, 2, 0, 4, 4, 3, 4, 1, 1, 3, 1, 0, 4, 4, 0, 0, 3, 0, 2, 1, 4, 4, 2, 3, 3, 0, 1, 2, 3, 0, 0, 3, 0, 1, 0, 0, 3, 0, 0, 3, 1, 0, 2, 3, 3, 4, 4, 3, 3, 0, 1, 2, 2, 0, 1, 4, 2, 3, 3, 3, 4, 3, 3, 3, 0, 3, 2, 1, 3, 3, 2, 3, 0, 4, 0, 4, 4, 0, 4, 1, 2, 3, 3, 0, 0, 0, 4, 3, 2, 4, 4, 1, 3, 4, 3, 3, 3, 0, 2, 2, 2, 3, 0, 2, 4, 4, 3, 0, 0, 1, 0, 2, 3, 1, 1, 3, 1, 0, 4, 2, 1, 4, 3, 2, 2, 4, 0, 0, 0, 1, 0, 0, 3, 2, 4, 1, 0, 0, 0, 4, 2, 3, 4, 3, 3, 3, 3, 2, 4, 2, 3, 4, 1, 0, 2, 1, 2, 0, 1, 4, 0, 2, 3, 1, 4, 4, 0, 2, 2, 4, 0, 1, 0, 0, 2, 0, 1, 0, 3, 3, 1, 2, 2, 4, 1, 0, 0, 2, 1, 3, 2, 2, 0, 1, 3, 3, 3, 1, 2, 3, 0, 4, 0, 3, 4, 0, 1, 3, 0, 0, 3, 4, 4, 0, 3, 2, 0, 1, 3, 2, 3, 3, 1, 4, 4, 4, 2, 4, 2, 2, 0, 3, 3, 0, 1, 1, 2, 1, 0, 3, 0, 3, 3, 0, 0, 2, 4, 3, 3, 2, 4, 3, 1, 4, 3, 0, 3, 0, 1, 4, 1, 0, 1, 4, 2, 2, 0, 3, 1, 4, 3, 1, 1, 4, 2, 1, 0, 1, 3, 0, 4, 4, 2, 1, 4, 1, 2, 4, 1, 1, 2, 4, 1, 3, 2, 3, 1, 1, 1, 2, 2, 4, 0, 3, 0, 2, 2, 0, 2, 4, 3, 4, 3, 2, 1, 4, 4, 1, 0, 1, 2, 2, 1, 4, 0, 4, 4, 2, 3, 1, 1, 1, 2, 2, 4, 0, 0, 2, 3, 2, 0, 0, 4, 4, 3, 2, 2, 4, 0, 1, 4, 2, 0, 4, 4, 1, 4, 4, 0, 4, 3, 1, 3, 4, 3, 4, 4, 0, 0, 1, 0, 0, 2, 4, 3, 4, 3, 3, 2, 3, 0, 1] pubkeycol1646 = [2, 0, 0, 0, 0, 1, 3, 2, 2, 4, 1, 4, 2, 0, 1, 1, 2, 0, 4, 3, 2, 4, 1, 1, 4, 2, 4, 3, 2, 4, 4, 3, 3, 3, 2, 3, 4, 3, 4, 3, 2, 2, 1, 4, 0, 3, 2, 3, 0, 3, 2, 0, 3, 3, 3, 0, 2, 3, 0, 2, 4, 3, 0, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 3, 4, 0, 2, 0, 3, 1, 3, 3, 0, 3, 1, 4, 0, 2, 3, 3, 1, 1, 4, 4, 4, 1, 1, 3, 4, 3, 0, 4, 0, 3, 2, 0, 3, 2, 4, 3, 3, 0, 0, 2, 2, 1, 4, 3, 4, 0, 3, 2, 4, 1, 2, 4, 3, 0, 2, 4, 0, 1, 2, 0, 0, 2, 4, 2, 2, 1, 1, 4, 1, 1, 4, 0, 0, 2, 2, 1, 4, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 3, 1, 4, 0, 3, 4, 2, 1, 1, 0, 2, 4, 0, 3, 2, 3, 2, 3, 3, 1, 3, 2, 2, 0, 2, 2, 4, 3, 3, 0, 0, 4, 1, 0, 1, 0, 3, 1, 2, 4, 2, 1, 3, 0, 2, 2, 3, 4, 1, 4, 4, 4, 0, 4, 1, 4, 1, 1, 0, 3, 0, 4, 2, 0, 3, 2, 3, 0, 3, 3, 1, 2, 1, 3, 4, 4, 0, 1, 3, 1, 4, 0, 2, 0, 4, 4, 1, 1, 4, 4, 0, 2, 1, 2, 1, 0, 4, 4, 1, 4, 2, 1, 4, 1, 2, 0, 3, 3, 1, 3, 0, 4, 2, 0, 1, 0, 3, 4, 3, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 0, 1, 0, 2, 3, 0, 3, 4, 0, 1, 0, 4, 1, 3, 4, 1, 2, 0, 2, 1, 1, 1, 1, 4, 0, 0, 3, 1, 0, 0, 3, 1, 3, 1, 4, 0, 2, 4, 3, 0, 0, 2, 3, 2, 1, 4, 2, 0, 4, 3, 2, 4, 1, 0, 4, 0, 4, 4, 2, 1, 2, 4, 0, 2, 0, 1, 4, 4, 2, 4, 1, 4, 3, 0, 4, 4, 2, 3, 4, 0, 4, 4, 1, 0, 4, 2, 3, 0, 0, 1, 0, 4, 2, 4, 0, 2, 0, 2, 0, 4, 2, 3, 2, 1, 1, 4, 1, 0, 2, 4] pubkeycol1647 = [2, 1, 2, 4, 0, 1, 4, 0, 1, 4, 0, 0, 3, 3, 0, 2, 3, 0, 1, 2, 1, 0, 4, 4, 4, 3, 2, 4, 0, 3, 0, 3, 1, 0, 1, 0, 3, 2, 2, 3, 4, 4, 2, 1, 3, 0, 3, 1, 4, 1, 4, 2, 3, 3, 4, 0, 1, 0, 1, 4, 4, 2, 3, 0, 2, 4, 4, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 3, 3, 3, 0, 0, 4, 1, 2, 1, 3, 0, 1, 3, 2, 0, 4, 2, 1, 1, 2, 3, 3, 3, 2, 4, 1, 0, 4, 2, 2, 0, 3, 4, 0, 1, 0, 4, 3, 3, 1, 1, 1, 2, 3, 1, 4, 0, 2, 4, 4, 1, 1, 0, 0, 0, 0, 1, 3, 1, 1, 4, 3, 4, 1, 3, 3, 0, 4, 0, 2, 1, 2, 2, 1, 4, 4, 3, 2, 1, 1, 4, 3, 0, 2, 3, 2, 4, 1, 4, 4, 1, 4, 1, 1, 4, 1, 1, 0, 3, 2, 3, 0, 3, 3, 1, 0, 4, 1, 4, 3, 4, 3, 4, 3, 3, 4, 1, 1, 2, 0, 3, 4, 3, 4, 4, 0, 0, 0, 0, 3, 3, 1, 1, 3, 4, 4, 4, 2, 4, 3, 2, 0, 2, 0, 2, 3, 1, 0, 2, 3, 4, 0, 1, 0, 3, 4, 0, 3, 1, 2, 2, 3, 1, 1, 3, 4, 3, 2, 3, 2, 3, 4, 1, 1, 3, 3, 3, 4, 4, 1, 4, 0, 4, 0, 2, 1, 1, 4, 3, 4, 0, 3, 0, 3, 3, 4, 2, 4, 2, 3, 0, 0, 3, 4, 4, 1, 1, 4, 1, 2, 4, 0, 4, 3, 2, 4, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 3, 1, 3, 0, 3, 3, 3, 4, 1, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 0, 3, 0, 0, 1, 3, 2, 3, 0, 1, 2, 1, 2, 0, 1, 2, 3, 4, 2, 2, 0, 4, 2, 0, 3, 2, 4, 4, 1, 3, 2, 1, 4, 3, 1, 4, 1, 0, 2, 3, 1, 0, 0, 1, 4, 1, 4, 2, 0, 1, 4, 2, 4, 2, 3, 0, 1, 0, 3, 3, 4, 1, 0, 3, 0, 4, 0, 1, 4, 0, 3, 4, 1] pubkeycol1648 = [2, 3, 2, 2, 0, 0, 4, 4, 2, 4, 0, 3, 1, 0, 1, 3, 4, 2, 2, 1, 3, 4, 0, 3, 0, 2, 4, 1, 2, 2, 2, 4, 0, 4, 0, 4, 3, 3, 1, 2, 2, 3, 0, 0, 0, 2, 2, 4, 0, 2, 0, 2, 0, 1, 3, 2, 2, 3, 1, 3, 0, 3, 3, 4, 1, 1, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 3, 3, 2, 4, 2, 0, 1, 0, 1, 4, 2, 3, 0, 3, 2, 3, 2, 4, 4, 4, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 4, 1, 0, 2, 4, 0, 3, 1, 1, 4, 0, 3, 4, 4, 0, 4, 3, 3, 0, 3, 3, 0, 4, 3, 3, 0, 4, 3, 0, 3, 0, 4, 3, 1, 1, 0, 4, 2, 4, 1, 0, 0, 4, 4, 2, 0, 2, 0, 0, 4, 4, 4, 1, 3, 4, 4, 1, 2, 0, 2, 1, 1, 2, 4, 0, 0, 4, 2, 4, 2, 0, 2, 3, 4, 2, 3, 2, 1, 0, 2, 1, 2, 1, 3, 4, 3, 4, 2, 1, 2, 4, 0, 4, 2, 4, 4, 4, 3, 0, 0, 1, 3, 4, 0, 0, 1, 4, 1, 0, 0, 4, 1, 2, 3, 0, 0, 4, 1, 4, 1, 1, 0, 3, 4, 2, 0, 3, 4, 0, 0, 4, 4, 2, 1, 1, 1, 3, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 4, 3, 2, 2, 4, 0, 3, 4, 1, 1, 0, 1, 0, 1, 2, 3, 3, 0, 0, 3, 2, 4, 2, 1, 3, 2, 0, 3, 4, 0, 4, 3, 2, 3, 4, 1, 3, 1, 0, 1, 2, 3, 3, 1, 2, 0, 3, 4, 3, 0, 1, 3, 4, 3, 3, 4, 3, 0, 4, 3, 1, 0, 2, 0, 2, 1, 0, 3, 2, 4, 3, 1, 0, 4, 0, 3, 2, 4, 2, 2, 1, 3, 0, 2, 1, 2, 2, 0, 3, 0, 3, 2, 0, 2, 0, 1, 0, 3, 1, 2, 1, 2, 4, 0, 3, 3, 0, 4, 3, 4, 2, 0, 3, 4, 0, 3, 4, 2, 0, 2, 3, 1, 2, 3, 4, 3, 0, 0, 0, 1, 1, 0, 3, 3, 4, 3, 0, 0, 4, 0, 1, 3, 0, 1, 0] pubkeycol1649 = [4, 0, 4, 1, 2, 1, 3, 4, 2, 4, 4, 3, 3, 0, 4, 3, 0, 0, 0, 0, 2, 4, 2, 1, 3, 4, 2, 2, 2, 3, 4, 1, 1, 3, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 3, 3, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 3, 1, 4, 0, 2, 0, 2, 1, 0, 0, 4, 0, 0, 2, 0, 2, 1, 4, 3, 2, 1, 2, 2, 4, 1, 4, 1, 2, 1, 4, 2, 1, 0, 4, 4, 4, 2, 3, 4, 0, 4, 2, 4, 0, 4, 2, 1, 0, 4, 1, 1, 0, 0, 3, 1, 1, 3, 1, 4, 4, 1, 1, 0, 3, 4, 4, 3, 1, 0, 4, 3, 2, 1, 3, 2, 4, 3, 0, 4, 1, 1, 0, 1, 0, 3, 1, 4, 0, 3, 2, 3, 1, 2, 4, 2, 3, 2, 3, 0, 2, 3, 0, 1, 0, 3, 4, 1, 3, 4, 1, 4, 2, 3, 0, 0, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 3, 1, 4, 1, 0, 3, 4, 3, 1, 1, 3, 1, 3, 2, 4, 3, 2, 0, 2, 0, 3, 3, 4, 1, 3, 1, 4, 1, 4, 0, 4, 0, 4, 1, 3, 2, 0, 0, 3, 0, 2, 4, 2, 1, 2, 2, 0, 3, 0, 2, 4, 1, 0, 0, 2, 4, 1, 3, 2, 4, 3, 2, 1, 3, 0, 1, 3, 3, 1, 4, 4, 1, 1, 1, 2, 0, 4, 2, 1, 2, 3, 2, 4, 4, 2, 4, 0, 2, 1, 1, 2, 4, 0, 3, 3, 1, 0, 0, 1, 2, 1, 0, 3, 3, 3, 0, 0, 0, 2, 0, 3, 2, 4, 2, 1, 3, 1, 2, 1, 3, 4, 1, 2, 1, 3, 2, 2, 4, 0, 4, 0, 0, 3, 1, 0, 3, 2, 1, 2, 4, 2, 2, 2, 0, 0, 3, 2, 3, 4, 1, 1, 0, 4, 2, 4, 2, 1, 4, 3, 0, 4, 1, 4, 3, 2, 2, 3, 0, 2, 2, 4, 3, 4, 0, 0, 0, 1, 2, 3, 4, 1, 1, 4, 3, 3, 2, 1, 1, 2, 0, 3, 4, 1, 4, 0, 1, 0, 4, 4, 3, 3, 1, 2, 3, 0, 4, 3, 3, 3, 4, 3, 2, 4, 2, 0] pubkeycol1650 = [2, 3, 0, 2, 3, 3, 1, 2, 3, 2, 1, 2, 2, 3, 0, 3, 4, 3, 0, 0, 0, 4, 0, 3, 3, 1, 1, 4, 3, 3, 0, 3, 1, 4, 4, 3, 1, 3, 1, 4, 1, 4, 0, 4, 4, 0, 0, 1, 3, 3, 4, 3, 3, 4, 1, 1, 3, 0, 4, 0, 4, 4, 0, 4, 4, 3, 3, 3, 2, 4, 2, 2, 3, 3, 1, 2, 2, 0, 2, 0, 4, 2, 4, 2, 3, 2, 3, 3, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 1, 3, 2, 0, 2, 2, 1, 3, 0, 0, 1, 1, 0, 4, 4, 1, 2, 1, 4, 1, 3, 0, 2, 3, 1, 3, 3, 0, 3, 3, 2, 0, 1, 3, 0, 1, 4, 0, 4, 2, 1, 0, 1, 3, 4, 0, 1, 0, 1, 4, 2, 3, 1, 3, 2, 4, 4, 0, 2, 0, 3, 0, 4, 3, 2, 4, 4, 1, 0, 1, 0, 3, 0, 4, 4, 2, 1, 4, 3, 3, 1, 4, 4, 2, 3, 4, 2, 4, 4, 0, 2, 2, 2, 4, 4, 3, 4, 3, 0, 1, 3, 4, 2, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 2, 4, 0, 4, 3, 0, 1, 2, 2, 0, 4, 4, 3, 0, 4, 2, 0, 2, 2, 1, 0, 4, 1, 1, 0, 4, 1, 2, 2, 0, 2, 2, 0, 3, 4, 3, 4, 3, 3, 2, 0, 2, 1, 2, 4, 4, 3, 0, 2, 0, 3, 4, 2, 1, 2, 0, 1, 2, 2, 4, 0, 0, 1, 2, 1, 1, 1, 1, 3, 1, 0, 2, 1, 0, 1, 4, 2, 1, 2, 3, 2, 3, 4, 3, 2, 0, 1, 1, 4, 2, 1, 3, 2, 3, 3, 4, 4, 2, 3, 4, 1, 2, 2, 0, 4, 4, 2, 0, 3, 0, 0, 4, 1, 2, 1, 2, 2, 3, 3, 1, 3, 3, 1, 3, 3, 1, 0, 2, 3, 3, 2, 4, 4, 1, 0, 2, 2, 0, 2, 3, 3, 4, 1, 0, 0, 1, 4, 2, 4, 2, 2, 3, 1, 1, 3, 2, 2, 4, 0, 0, 3, 1, 4, 0, 0, 1, 0, 0, 4, 0, 4, 0, 4, 4, 1, 0, 2, 3, 0, 2] pubkeycol1651 = [2, 1, 0, 4, 2, 1, 3, 4, 1, 3, 4, 1, 2, 1, 3, 3, 0, 1, 2, 4, 1, 1, 3, 0, 2, 0, 3, 2, 4, 2, 4, 0, 2, 1, 2, 4, 1, 0, 0, 3, 4, 2, 2, 3, 2, 0, 1, 1, 3, 3, 0, 1, 1, 1, 4, 0, 2, 3, 1, 3, 4, 3, 1, 4, 0, 2, 1, 0, 0, 0, 1, 0, 2, 4, 2, 2, 1, 0, 3, 3, 0, 0, 0, 1, 4, 3, 4, 3, 0, 3, 0, 4, 2, 3, 2, 4, 4, 0, 1, 0, 3, 1, 2, 0, 4, 2, 3, 4, 2, 3, 4, 1, 4, 4, 2, 1, 2, 0, 4, 0, 4, 3, 1, 0, 1, 2, 1, 2, 3, 4, 2, 1, 0, 1, 1, 2, 4, 3, 3, 3, 2, 1, 3, 4, 0, 2, 4, 4, 0, 4, 4, 2, 0, 1, 1, 4, 2, 0, 2, 1, 0, 2, 2, 0, 3, 0, 2, 2, 1, 0, 4, 0, 3, 1, 4, 3, 2, 1, 4, 2, 3, 4, 1, 4, 0, 1, 2, 2, 0, 1, 4, 1, 3, 3, 2, 0, 1, 2, 4, 2, 1, 1, 4, 0, 4, 1, 0, 4, 0, 4, 0, 1, 4, 0, 3, 2, 3, 4, 4, 4, 2, 0, 4, 3, 0, 1, 4, 3, 1, 1, 3, 4, 1, 1, 3, 3, 0, 2, 0, 2, 4, 0, 4, 2, 1, 1, 4, 2, 3, 0, 4, 1, 2, 1, 2, 3, 2, 4, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 2, 4, 1, 1, 0, 0, 2, 1, 0, 4, 0, 3, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 3, 0, 1, 2, 3, 3, 2, 2, 4, 2, 3, 1, 4, 0, 1, 3, 3, 3, 2, 1, 0, 4, 0, 3, 4, 0, 4, 2, 0, 2, 4, 4, 0, 0, 0, 4, 1, 1, 1, 3, 2, 3, 2, 4, 2, 3, 4, 4, 4, 4, 4, 0, 4, 3, 4, 1, 3, 1, 0, 4, 2, 3, 3, 4, 0, 1, 1, 2, 2, 1, 1, 2, 0, 4, 2, 0, 4, 1, 2, 0, 2, 2, 0, 3, 3, 1, 3, 3, 1, 4, 3, 4, 4, 4, 0, 4, 1, 4, 3, 1] pubkeycol1652 = [3, 1, 2, 4, 4, 1, 0, 4, 3, 4, 3, 0, 3, 3, 1, 3, 2, 2, 1, 4, 4, 0, 1, 1, 3, 4, 3, 1, 1, 2, 4, 1, 0, 2, 3, 0, 4, 2, 2, 4, 2, 1, 1, 2, 0, 3, 0, 2, 3, 0, 4, 4, 3, 2, 3, 2, 3, 4, 2, 0, 4, 4, 2, 2, 4, 3, 3, 1, 2, 4, 4, 4, 1, 2, 4, 2, 4, 0, 2, 1, 0, 0, 0, 0, 3, 3, 0, 0, 1, 1, 1, 3, 0, 4, 3, 4, 0, 2, 2, 3, 4, 3, 1, 2, 4, 0, 2, 3, 1, 4, 4, 2, 3, 4, 4, 4, 2, 0, 3, 1, 4, 2, 1, 1, 2, 0, 2, 0, 4, 2, 2, 2, 3, 4, 2, 4, 4, 1, 4, 0, 3, 4, 3, 1, 1, 4, 3, 4, 1, 3, 0, 2, 3, 3, 4, 3, 1, 0, 2, 1, 2, 4, 0, 1, 0, 1, 4, 3, 0, 2, 3, 0, 0, 3, 3, 2, 4, 0, 3, 0, 2, 0, 1, 1, 4, 4, 3, 2, 3, 1, 0, 1, 1, 3, 4, 1, 3, 0, 0, 0, 4, 0, 3, 1, 4, 2, 3, 2, 1, 4, 4, 0, 3, 0, 2, 0, 3, 0, 0, 3, 4, 3, 2, 4, 1, 1, 4, 3, 2, 0, 0, 1, 0, 1, 0, 1, 3, 4, 1, 2, 0, 3, 4, 1, 3, 4, 4, 1, 1, 3, 3, 0, 1, 4, 2, 3, 4, 4, 1, 0, 4, 4, 4, 3, 3, 4, 3, 4, 0, 0, 0, 2, 2, 0, 4, 4, 1, 4, 1, 2, 3, 3, 1, 2, 4, 1, 2, 0, 1, 4, 0, 4, 0, 0, 4, 3, 3, 3, 3, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 2, 2, 4, 4, 3, 3, 1, 3, 4, 0, 1, 1, 3, 3, 3, 0, 4, 0, 3, 3, 1, 3, 1, 3, 3, 3, 4, 2, 3, 4, 2, 3, 0, 1, 4, 4, 4, 2, 1, 2, 2, 3, 0, 2, 4, 1, 0, 4, 3, 1, 1, 4, 3, 0, 0, 2, 2, 4, 2, 1, 1, 3, 0, 1, 4, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 3, 3, 4, 3, 4, 2, 2, 3, 2, 1, 4, 2, 2] pubkeycol1653 = [4, 2, 1, 3, 0, 4, 3, 1, 1, 4, 0, 2, 0, 4, 4, 3, 1, 4, 2, 1, 4, 0, 2, 1, 0, 4, 4, 3, 4, 0, 0, 2, 4, 2, 0, 0, 4, 1, 1, 1, 2, 4, 4, 0, 4, 1, 1, 2, 1, 1, 3, 1, 2, 4, 4, 3, 1, 2, 3, 3, 4, 1, 3, 3, 4, 2, 3, 2, 2, 4, 1, 3, 4, 4, 0, 2, 3, 0, 0, 1, 2, 4, 0, 4, 4, 3, 3, 2, 3, 1, 3, 0, 4, 3, 4, 1, 4, 3, 1, 0, 3, 1, 3, 4, 0, 0, 1, 4, 3, 0, 2, 4, 3, 1, 2, 4, 3, 4, 2, 0, 1, 3, 2, 3, 2, 4, 0, 0, 0, 2, 2, 1, 4, 1, 1, 4, 2, 3, 2, 4, 4, 3, 0, 4, 0, 0, 4, 4, 1, 0, 1, 3, 2, 0, 1, 3, 4, 3, 4, 0, 1, 0, 3, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 3, 0, 1, 0, 3, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 3, 1, 0, 4, 0, 1, 2, 0, 0, 0, 4, 3, 0, 1, 2, 2, 2, 2, 4, 2, 0, 4, 3, 1, 1, 0, 4, 0, 2, 1, 3, 1, 0, 2, 4, 3, 3, 1, 3, 0, 0, 4, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 4, 4, 2, 0, 3, 3, 3, 0, 3, 2, 1, 3, 2, 0, 2, 4, 4, 3, 0, 1, 2, 4, 0, 2, 0, 3, 0, 0, 4, 2, 1, 1, 3, 3, 1, 3, 4, 0, 4, 2, 4, 2, 3, 1, 1, 4, 2, 4, 2, 2, 4, 1, 2, 3, 0, 3, 2, 2, 0, 0, 4, 0, 4, 2, 2, 2, 4, 0, 2, 3, 2, 4, 0, 2, 3, 0, 3, 4, 3, 3, 4, 3, 4, 1, 0, 0, 0, 3, 2, 4, 4, 3, 1, 2, 1, 4, 4, 4, 4, 1, 3, 4, 2, 4, 1, 0, 4, 4, 1, 4, 1, 0, 2, 0, 2, 4, 1, 3, 2, 4, 4, 3, 2, 0, 2, 1, 3, 4, 0, 0, 2, 2, 2, 4, 3, 4, 2, 2, 4, 1, 0, 3, 3, 0, 3, 3, 1, 3, 3, 3, 2, 4, 1] pubkeycol1654 = [2, 0, 0, 1, 3, 2, 3, 2, 1, 0, 4, 0, 3, 4, 0, 4, 1, 1, 0, 2, 3, 4, 2, 3, 3, 0, 2, 1, 2, 1, 4, 4, 0, 0, 1, 1, 3, 0, 4, 1, 2, 4, 0, 4, 0, 3, 0, 3, 3, 1, 2, 1, 2, 0, 3, 2, 1, 3, 3, 1, 2, 2, 4, 4, 1, 3, 0, 3, 2, 1, 2, 4, 0, 3, 1, 1, 4, 4, 1, 3, 0, 3, 1, 4, 1, 4, 3, 0, 0, 1, 2, 4, 2, 2, 1, 4, 3, 2, 2, 0, 3, 3, 1, 2, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 2, 4, 4, 3, 4, 2, 0, 3, 2, 2, 3, 2, 1, 4, 4, 1, 3, 4, 1, 0, 4, 3, 3, 0, 2, 4, 3, 3, 0, 1, 4, 3, 3, 4, 2, 4, 2, 1, 4, 3, 3, 4, 0, 1, 1, 3, 1, 4, 3, 0, 0, 3, 1, 4, 2, 1, 3, 2, 3, 4, 3, 4, 2, 3, 2, 3, 2, 1, 3, 4, 1, 3, 3, 4, 4, 0, 4, 0, 1, 2, 2, 1, 3, 3, 0, 2, 1, 0, 3, 1, 0, 1, 2, 0, 0, 1, 0, 4, 3, 0, 4, 0, 1, 4, 1, 4, 3, 0, 4, 3, 4, 3, 4, 0, 3, 2, 1, 0, 0, 1, 1, 4, 3, 3, 3, 4, 0, 1, 3, 1, 0, 0, 1, 2, 1, 1, 0, 0, 4, 1, 0, 1, 2, 0, 0, 2, 2, 3, 2, 3, 4, 0, 1, 0, 1, 3, 0, 4, 0, 1, 2, 2, 4, 3, 3, 4, 2, 0, 3, 4, 1, 4, 3, 4, 0, 3, 0, 3, 2, 2, 3, 4, 1, 1, 3, 4, 3, 0, 0, 2, 4, 4, 2, 0, 2, 1, 4, 4, 2, 0, 1, 3, 3, 4, 2, 4, 1, 4, 2, 4, 3, 1, 0, 2, 4, 0, 0, 1, 1, 4, 4, 3, 2, 0, 4, 4, 2, 1, 4, 1, 3, 1, 1, 3, 2, 0, 3, 2, 0, 1, 4, 2, 1, 2, 4, 3, 0, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 0, 3, 4, 0, 0, 0, 4, 3, 0, 4, 4, 0, 1, 3, 2, 4, 2, 1, 4, 0, 3, 1, 1, 4, 1] pubkeycol1655 = [3, 3, 4, 3, 1, 4, 3, 0, 2, 3, 4, 2, 2, 3, 0, 2, 3, 2, 3, 0, 4, 0, 0, 0, 2, 3, 3, 3, 3, 4, 0, 1, 4, 3, 3, 3, 3, 1, 2, 0, 3, 0, 2, 0, 3, 0, 0, 1, 4, 4, 2, 3, 1, 2, 0, 2, 0, 3, 2, 1, 2, 0, 4, 0, 0, 3, 3, 3, 3, 1, 1, 4, 1, 3, 2, 0, 0, 1, 4, 4, 2, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 2, 0, 1, 4, 4, 0, 3, 2, 1, 1, 1, 2, 3, 0, 1, 3, 2, 1, 4, 4, 2, 0, 3, 3, 0, 2, 2, 0, 3, 1, 2, 2, 4, 4, 0, 4, 1, 1, 1, 2, 4, 1, 0, 3, 1, 0, 0, 1, 0, 2, 2, 0, 3, 2, 3, 0, 0, 3, 3, 0, 3, 4, 4, 2, 4, 1, 4, 0, 0, 1, 4, 4, 3, 0, 3, 2, 3, 4, 2, 2, 3, 3, 1, 3, 2, 4, 4, 2, 2, 0, 3, 3, 4, 2, 4, 4, 0, 1, 1, 2, 2, 3, 4, 0, 4, 3, 0, 0, 1, 1, 3, 2, 2, 0, 4, 2, 3, 1, 3, 0, 0, 2, 2, 2, 1, 1, 3, 0, 1, 1, 4, 0, 2, 1, 1, 4, 4, 1, 0, 0, 4, 4, 4, 0, 1, 2, 3, 4, 0, 2, 1, 4, 0, 0, 3, 1, 0, 0, 3, 3, 2, 1, 4, 3, 0, 3, 1, 1, 1, 1, 4, 0, 3, 1, 0, 2, 4, 2, 2, 4, 2, 2, 4, 3, 1, 3, 3, 3, 2, 3, 2, 1, 4, 1, 3, 0, 4, 2, 4, 4, 0, 4, 1, 4, 2, 3, 0, 2, 4, 2, 3, 4, 0, 4, 4, 4, 2, 0, 3, 0, 4, 2, 0, 1, 0, 2, 4, 2, 4, 2, 2, 2, 0, 2, 2, 0, 2, 4, 0, 1, 3, 0, 0, 1, 3, 3, 2, 0, 0, 3, 0, 4, 1, 2, 4, 1, 1, 4, 0, 4, 1, 0, 2, 1, 1, 3, 2, 2, 4, 1, 3, 0, 4, 3, 3, 4, 2, 4, 1, 1, 1, 3, 2, 0, 4, 1, 2, 2, 2, 4, 1, 2, 2, 4, 1, 0, 1, 3, 1, 2, 2, 0, 2, 2, 2, 4, 3, 2] pubkeycol1656 = [0, 1, 2, 0, 3, 4, 0, 3, 2, 3, 1, 4, 0, 3, 0, 0, 4, 3, 0, 2, 4, 0, 3, 4, 3, 0, 0, 0, 2, 0, 1, 1, 0, 4, 0, 3, 2, 2, 4, 3, 3, 4, 3, 0, 1, 3, 3, 1, 0, 2, 2, 3, 1, 2, 1, 4, 2, 2, 2, 2, 3, 4, 0, 1, 4, 0, 0, 1, 2, 2, 2, 1, 1, 0, 4, 4, 0, 3, 0, 1, 4, 3, 2, 1, 0, 1, 1, 1, 4, 1, 0, 2, 3, 3, 2, 3, 2, 4, 1, 1, 0, 1, 1, 1, 1, 2, 0, 4, 3, 0, 4, 4, 4, 4, 2, 3, 4, 1, 1, 4, 3, 2, 0, 1, 0, 0, 2, 3, 1, 4, 4, 0, 1, 4, 3, 2, 2, 1, 2, 4, 2, 1, 1, 2, 3, 0, 1, 4, 1, 4, 3, 3, 2, 1, 4, 4, 3, 2, 2, 4, 4, 3, 2, 3, 3, 4, 1, 4, 0, 3, 4, 2, 0, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 1, 1, 3, 1, 0, 1, 3, 3, 1, 2, 2, 0, 2, 3, 3, 2, 0, 1, 3, 0, 0, 0, 0, 0, 4, 2, 3, 1, 4, 3, 0, 4, 1, 2, 0, 2, 4, 0, 0, 1, 0, 3, 2, 4, 3, 0, 1, 1, 2, 3, 2, 1, 2, 2, 0, 1, 3, 0, 4, 4, 1, 4, 3, 3, 2, 1, 0, 4, 3, 0, 0, 2, 0, 2, 3, 4, 3, 2, 4, 3, 4, 4, 1, 0, 4, 0, 1, 4, 0, 0, 0, 0, 3, 3, 3, 1, 0, 3, 4, 2, 0, 4, 3, 3, 0, 1, 1, 3, 4, 0, 1, 4, 4, 3, 1, 3, 3, 2, 4, 1, 3, 2, 4, 4, 4, 1, 4, 0, 2, 0, 4, 2, 3, 4, 4, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 4, 1, 2, 1, 3, 4, 2, 4, 2, 3, 4, 3, 0, 0, 1, 3, 4, 3, 4, 2, 4, 1, 4, 4, 0, 0, 4, 2, 0, 1, 3, 2, 2, 1, 1, 3, 4, 1, 3, 4, 1, 2, 0, 3, 2, 2, 4, 0, 0, 2, 4, 0, 3, 2, 4, 3, 1, 0, 3, 2, 4, 2, 3, 0, 1, 3, 1, 0, 3, 3, 2, 0] pubkeycol1657 = [0, 1, 0, 0, 2, 1, 2, 3, 0, 1, 3, 2, 4, 2, 1, 3, 0, 0, 2, 4, 4, 4, 2, 4, 1, 1, 4, 2, 0, 4, 3, 1, 2, 2, 3, 1, 4, 4, 2, 3, 4, 3, 1, 4, 4, 1, 0, 3, 0, 4, 2, 2, 3, 2, 4, 4, 0, 0, 4, 0, 3, 1, 0, 0, 4, 3, 2, 4, 2, 4, 0, 0, 3, 2, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 2, 3, 4, 3, 2, 3, 0, 1, 1, 4, 4, 4, 4, 3, 0, 3, 4, 1, 3, 0, 4, 4, 0, 4, 0, 0, 4, 1, 2, 4, 0, 2, 2, 1, 3, 0, 3, 1, 0, 3, 4, 2, 0, 3, 4, 4, 0, 3, 0, 2, 1, 3, 0, 4, 1, 2, 4, 0, 2, 3, 3, 3, 1, 0, 0, 0, 0, 2, 1, 3, 0, 1, 1, 0, 1, 2, 4, 2, 1, 1, 2, 0, 2, 0, 2, 0, 4, 3, 1, 1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 2, 3, 3, 1, 3, 0, 2, 3, 0, 2, 2, 4, 3, 1, 1, 3, 3, 2, 1, 2, 2, 4, 4, 3, 4, 1, 3, 0, 3, 4, 0, 0, 1, 4, 2, 0, 4, 1, 4, 2, 3, 4, 3, 3, 4, 1, 0, 2, 2, 2, 0, 2, 2, 2, 4, 0, 0, 1, 0, 1, 0, 3, 3, 0, 0, 2, 2, 3, 0, 4, 4, 1, 4, 3, 4, 4, 0, 1, 1, 2, 3, 2, 1, 0, 3, 4, 4, 3, 4, 0, 4, 3, 3, 2, 0, 2, 3, 2, 3, 4, 1, 1, 2, 4, 2, 2, 3, 2, 3, 1, 0, 2, 2, 1, 4, 4, 0, 4, 3, 4, 0, 4, 4, 1, 2, 4, 0, 3, 3, 4, 4, 1, 0, 3, 2, 2, 2, 1, 0, 3, 2, 1, 3, 2, 0, 0, 2, 2, 0, 3, 0, 4, 0, 2, 3, 1, 3, 1, 4, 4, 1, 4, 2, 0, 3, 2, 0, 2, 2, 3, 3, 3, 3, 4, 3, 1, 1, 3, 2, 0, 2, 2, 3, 2, 1, 2, 4, 0, 4, 2, 2, 1, 3, 4, 3, 1, 1, 4, 2, 1, 2, 3, 2, 4, 4, 0, 3, 3, 0, 0, 0, 3, 4, 1, 2] pubkeycol1658 = [3, 3, 4, 3, 3, 4, 2, 0, 4, 3, 4, 1, 3, 1, 4, 4, 3, 4, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 1, 2, 0, 3, 1, 3, 4, 1, 0, 0, 3, 0, 0, 0, 3, 3, 1, 2, 2, 1, 1, 0, 0, 3, 3, 0, 0, 0, 1, 4, 2, 1, 4, 3, 2, 1, 2, 0, 1, 2, 3, 2, 1, 1, 3, 1, 2, 2, 0, 3, 4, 1, 0, 3, 0, 1, 3, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 3, 3, 2, 4, 3, 4, 0, 4, 4, 3, 3, 4, 3, 0, 4, 4, 2, 2, 2, 0, 1, 0, 1, 3, 2, 3, 3, 0, 3, 4, 0, 2, 2, 2, 3, 2, 3, 4, 4, 0, 2, 1, 4, 2, 3, 0, 4, 2, 1, 0, 1, 0, 2, 4, 4, 2, 3, 4, 1, 4, 3, 3, 1, 4, 2, 1, 1, 2, 3, 4, 1, 0, 3, 3, 4, 4, 4, 1, 4, 0, 0, 2, 0, 4, 0, 3, 1, 1, 1, 3, 0, 4, 2, 1, 2, 0, 1, 0, 2, 2, 0, 4, 0, 4, 1, 2, 3, 2, 0, 2, 0, 4, 1, 1, 4, 2, 3, 2, 2, 2, 1, 0, 2, 4, 4, 2, 1, 3, 2, 3, 4, 4, 2, 2, 2, 2, 0, 2, 3, 4, 4, 0, 2, 3, 3, 3, 0, 0, 3, 3, 3, 1, 4, 3, 1, 4, 0, 4, 0, 1, 2, 4, 1, 0, 0, 0, 2, 2, 4, 3, 4, 4, 4, 0, 4, 2, 1, 4, 0, 2, 1, 0, 0, 0, 1, 3, 3, 0, 3, 0, 0, 2, 0, 1, 4, 4, 3, 3, 3, 1, 3, 1, 1, 1, 2, 2, 0, 2, 0, 2, 3, 2, 1, 4, 0, 2, 3, 2, 2, 2, 2, 1, 2, 3, 1, 2, 0, 0, 0, 0, 3, 4, 3, 0, 3, 2, 2, 4, 3, 4, 3, 3, 0, 3, 4, 1, 1, 4, 4, 0, 0, 0, 2, 0, 1, 4, 2, 1, 2, 1, 0, 1, 1, 4, 1, 1, 1, 1, 0, 4, 4, 3, 1, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 3, 1, 3, 2, 4, 2, 2, 1, 0, 4, 1, 3, 1, 2, 1, 2, 2, 2, 3, 3, 2] pubkeycol1659 = [4, 3, 4, 0, 1, 2, 3, 4, 4, 3, 2, 1, 2, 2, 1, 0, 4, 0, 2, 4, 3, 0, 2, 1, 1, 4, 0, 0, 0, 2, 3, 4, 2, 3, 3, 4, 0, 3, 2, 0, 3, 1, 2, 1, 2, 0, 0, 4, 1, 2, 4, 1, 0, 3, 2, 0, 1, 4, 4, 4, 0, 1, 4, 3, 0, 2, 2, 1, 2, 4, 0, 4, 0, 2, 3, 0, 3, 0, 1, 1, 4, 4, 0, 4, 2, 2, 0, 2, 4, 4, 0, 2, 3, 0, 1, 2, 1, 4, 3, 3, 4, 4, 0, 4, 4, 0, 0, 0, 2, 1, 0, 4, 1, 1, 0, 2, 4, 4, 0, 1, 3, 4, 1, 3, 1, 0, 1, 1, 2, 4, 0, 4, 1, 4, 0, 0, 2, 1, 3, 2, 2, 2, 4, 3, 3, 3, 3, 3, 0, 3, 0, 1, 4, 2, 4, 3, 4, 0, 2, 2, 1, 4, 0, 2, 3, 0, 3, 3, 0, 4, 2, 0, 1, 3, 0, 0, 2, 4, 1, 0, 1, 3, 4, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 4, 2, 4, 2, 0, 2, 3, 1, 0, 0, 3, 1, 3, 1, 2, 1, 0, 4, 4, 3, 1, 4, 0, 0, 1, 3, 1, 2, 2, 2, 3, 3, 4, 2, 1, 2, 4, 4, 4, 3, 2, 0, 1, 3, 4, 1, 4, 2, 2, 3, 0, 4, 4, 3, 4, 0, 3, 4, 1, 0, 0, 4, 4, 1, 2, 2, 0, 4, 2, 2, 0, 1, 0, 3, 2, 4, 0, 4, 0, 2, 0, 1, 1, 1, 3, 3, 4, 2, 0, 4, 4, 1, 0, 2, 3, 1, 1, 3, 3, 0, 0, 1, 4, 4, 1, 2, 0, 4, 0, 2, 1, 0, 1, 1, 0, 4, 0, 4, 3, 4, 2, 1, 4, 4, 1, 2, 2, 1, 2, 2, 4, 1, 1, 0, 4, 1, 1, 3, 1, 1, 0, 1, 1, 1, 3, 0, 2, 2, 1, 3, 3, 0, 2, 3, 2, 2, 2, 3, 3, 3, 3, 2, 4, 2, 4, 3, 4, 2, 4, 4, 4, 3, 2, 2, 3, 3, 0, 1, 3, 1, 4, 4, 4, 1, 3, 2, 4, 2, 3, 3, 1, 2, 2, 0, 1, 3, 3, 3, 4, 4, 4, 1, 4, 4, 0, 2] pubkeycol1660 = [0, 1, 4, 3, 4, 4, 2, 4, 2, 1, 1, 0, 2, 1, 2, 4, 1, 4, 2, 2, 1, 0, 4, 4, 1, 0, 1, 4, 3, 2, 4, 3, 4, 1, 2, 2, 1, 1, 1, 0, 3, 1, 4, 2, 1, 3, 0, 3, 3, 1, 0, 1, 3, 1, 2, 0, 0, 1, 4, 3, 0, 4, 1, 3, 4, 3, 1, 3, 0, 0, 3, 1, 1, 3, 2, 1, 3, 3, 3, 4, 2, 4, 4, 0, 2, 3, 4, 4, 2, 0, 1, 3, 4, 3, 2, 3, 1, 4, 2, 4, 0, 4, 2, 2, 1, 2, 1, 2, 0, 1, 0, 4, 1, 0, 2, 0, 4, 4, 2, 3, 2, 2, 1, 0, 1, 4, 3, 2, 1, 4, 0, 3, 0, 3, 3, 3, 4, 4, 3, 1, 2, 4, 0, 2, 1, 3, 2, 0, 3, 3, 1, 2, 1, 1, 0, 1, 4, 0, 4, 4, 0, 0, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 4, 4, 3, 1, 2, 3, 0, 4, 4, 4, 0, 4, 3, 2, 2, 0, 4, 0, 2, 1, 1, 4, 1, 2, 2, 1, 3, 1, 3, 2, 0, 1, 3, 3, 1, 3, 4, 3, 3, 0, 3, 4, 0, 3, 0, 1, 4, 0, 4, 2, 1, 0, 1, 0, 3, 3, 3, 0, 0, 3, 4, 3, 1, 0, 4, 1, 1, 3, 2, 2, 0, 4, 1, 3, 0, 3, 4, 3, 4, 2, 2, 0, 3, 3, 4, 0, 1, 1, 3, 1, 1, 3, 4, 2, 1, 0, 4, 2, 0, 3, 4, 2, 3, 0, 3, 4, 3, 4, 2, 2, 2, 3, 4, 1, 0, 1, 3, 0, 4, 4, 0, 0, 1, 4, 1, 0, 0, 0, 3, 0, 4, 1, 3, 4, 1, 1, 3, 2, 1, 1, 1, 0, 4, 1, 2, 4, 1, 0, 3, 1, 4, 1, 3, 4, 2, 4, 0, 2, 2, 2, 2, 3, 4, 1, 2, 2, 1, 3, 4, 3, 3, 3, 4, 1, 4, 2, 2, 1, 0, 4, 4, 1, 1, 2, 3, 1, 3, 0, 2, 4, 3, 3, 1, 1, 0, 0, 1, 3, 0, 4, 0, 2, 1, 0, 0, 2, 1, 2, 3, 0, 3, 1, 4, 2, 0, 2, 0, 0, 2, 4, 0, 4, 0, 0, 4, 0, 3, 0] pubkeycol1661 = [3, 3, 4, 0, 2, 2, 4, 3, 1, 0, 2, 2, 2, 1, 4, 4, 4, 4, 0, 0, 2, 0, 4, 3, 4, 2, 2, 3, 0, 0, 0, 2, 0, 4, 0, 0, 2, 0, 4, 2, 1, 1, 1, 4, 0, 0, 0, 3, 0, 2, 3, 1, 1, 3, 2, 2, 2, 3, 1, 0, 1, 1, 3, 0, 0, 2, 4, 2, 4, 1, 4, 0, 4, 3, 2, 2, 2, 2, 2, 1, 0, 2, 1, 3, 4, 4, 2, 1, 0, 3, 4, 4, 0, 3, 0, 3, 3, 3, 0, 2, 2, 3, 1, 0, 0, 1, 3, 3, 3, 0, 0, 0, 0, 0, 4, 1, 1, 0, 1, 0, 1, 1, 4, 4, 0, 3, 1, 4, 4, 3, 2, 3, 1, 4, 2, 1, 0, 0, 4, 3, 3, 3, 3, 4, 0, 1, 3, 4, 4, 4, 3, 1, 2, 2, 4, 2, 3, 2, 2, 0, 3, 3, 0, 2, 0, 4, 0, 2, 4, 3, 1, 2, 3, 1, 3, 0, 0, 3, 0, 4, 4, 3, 1, 0, 4, 3, 4, 4, 3, 2, 1, 2, 1, 3, 4, 4, 4, 4, 4, 2, 0, 4, 0, 2, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 1, 0, 4, 4, 4, 1, 4, 3, 0, 4, 2, 2, 0, 3, 0, 0, 3, 2, 0, 0, 0, 1, 4, 4, 0, 2, 1, 2, 4, 3, 0, 4, 0, 2, 3, 1, 4, 1, 0, 3, 3, 0, 2, 2, 2, 1, 2, 4, 4, 1, 0, 0, 2, 1, 4, 0, 0, 0, 1, 2, 3, 0, 4, 2, 1, 4, 4, 4, 0, 2, 1, 4, 4, 2, 0, 3, 4, 2, 3, 3, 4, 1, 4, 0, 0, 0, 1, 4, 1, 1, 3, 3, 2, 3, 3, 0, 2, 1, 1, 2, 0, 0, 3, 1, 0, 1, 4, 3, 2, 2, 4, 1, 3, 0, 4, 2, 3, 3, 0, 0, 0, 1, 2, 2, 1, 4, 3, 1, 1, 3, 1, 3, 4, 4, 3, 2, 4, 1, 0, 2, 2, 2, 2, 4, 0, 3, 3, 2, 0, 2, 2, 3, 0, 2, 3, 4, 0, 0, 3, 0, 3, 3, 1, 1, 2, 2, 4, 4, 4, 2, 4, 3, 4, 3, 1, 2, 0, 3, 3, 1, 1, 2, 2, 3, 2, 2] pubkeycol1662 = [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 3, 2, 4, 1, 2, 3, 2, 3, 0, 2, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 3, 3, 2, 4, 4, 4, 4, 0, 3, 1, 2, 2, 4, 2, 0, 1, 1, 0, 2, 4, 2, 1, 0, 1, 0, 3, 0, 3, 0, 4, 2, 3, 0, 0, 3, 4, 4, 1, 3, 2, 4, 4, 2, 3, 2, 2, 0, 2, 0, 1, 3, 2, 3, 3, 0, 3, 0, 2, 1, 1, 0, 1, 4, 3, 2, 0, 0, 4, 4, 3, 1, 4, 1, 2, 2, 1, 4, 3, 0, 3, 0, 4, 4, 2, 0, 1, 2, 2, 1, 2, 4, 3, 4, 0, 4, 3, 0, 2, 1, 1, 2, 2, 3, 4, 1, 4, 0, 2, 2, 4, 1, 0, 3, 1, 4, 0, 1, 4, 2, 3, 0, 2, 0, 0, 0, 4, 1, 3, 4, 0, 2, 4, 1, 0, 3, 3, 0, 3, 4, 1, 3, 1, 2, 4, 1, 0, 1, 4, 2, 3, 2, 0, 0, 2, 3, 1, 4, 4, 3, 0, 0, 1, 4, 4, 0, 4, 4, 0, 0, 4, 2, 2, 0, 2, 0, 4, 0, 1, 1, 0, 0, 1, 3, 4, 0, 3, 2, 3, 4, 0, 2, 1, 1, 4, 1, 0, 4, 3, 1, 4, 4, 4, 0, 0, 1, 0, 1, 0, 1, 4, 1, 0, 4, 3, 1, 3, 3, 0, 2, 0, 3, 4, 3, 4, 2, 3, 2, 2, 4, 2, 3, 4, 1, 2, 3, 0, 4, 1, 1, 0, 4, 2, 1, 4, 0, 3, 3, 0, 2, 0, 4, 4, 0, 1, 0, 2, 2, 2, 0, 1, 4, 3, 3, 2, 4, 2, 4, 1, 2, 3, 0, 2, 2, 4, 2, 4, 1, 1, 4, 3, 2, 3, 2, 2, 4, 3, 2, 3, 1, 3, 2, 1, 3, 0, 2, 3, 2, 2, 3, 1, 4, 0, 2, 0, 1, 3, 4, 0, 4, 2, 0, 0, 2, 3, 3, 2, 2, 3, 1, 0, 4, 3, 2, 3, 0, 4, 4, 0, 0, 2, 3, 2, 3, 1, 0, 0, 3, 4, 3, 2, 1, 0, 1, 4, 4, 2, 3, 2, 0, 1, 2, 3, 1, 3, 3, 1, 2, 0, 1, 3, 1, 2, 3, 2, 0, 0, 3, 1] pubkeycol1663 = [4, 4, 4, 2, 0, 3, 1, 0, 2, 4, 2, 3, 0, 0, 1, 0, 2, 0, 0, 4, 2, 4, 0, 4, 1, 3, 0, 3, 2, 3, 2, 0, 1, 4, 3, 4, 0, 0, 0, 4, 4, 3, 0, 4, 4, 0, 1, 0, 4, 0, 3, 3, 1, 1, 4, 0, 3, 2, 2, 0, 1, 1, 3, 1, 1, 3, 4, 1, 3, 1, 2, 1, 1, 2, 0, 3, 4, 4, 1, 3, 2, 2, 2, 2, 0, 0, 3, 3, 1, 3, 0, 2, 3, 4, 1, 4, 4, 2, 1, 4, 4, 3, 4, 4, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 4, 1, 2, 3, 4, 2, 0, 1, 0, 4, 1, 0, 2, 0, 3, 0, 0, 3, 1, 3, 3, 3, 1, 2, 3, 2, 0, 1, 3, 4, 2, 4, 2, 2, 1, 1, 0, 0, 1, 3, 3, 4, 4, 3, 2, 2, 3, 1, 0, 2, 2, 3, 3, 1, 2, 4, 1, 0, 4, 4, 0, 1, 3, 3, 1, 0, 3, 1, 0, 0, 1, 1, 3, 2, 3, 1, 4, 1, 3, 1, 2, 3, 1, 0, 1, 1, 2, 2, 2, 3, 0, 1, 3, 4, 0, 0, 1, 3, 1, 2, 3, 0, 2, 0, 1, 0, 2, 1, 1, 3, 4, 1, 0, 0, 4, 0, 3, 2, 2, 3, 0, 4, 0, 3, 1, 3, 2, 0, 3, 1, 0, 4, 4, 0, 0, 0, 2, 1, 1, 4, 3, 4, 4, 1, 0, 0, 3, 2, 4, 3, 1, 2, 1, 3, 2, 0, 3, 3, 2, 0, 2, 0, 1, 3, 4, 4, 3, 0, 2, 2, 3, 2, 0, 3, 2, 4, 3, 4, 3, 2, 3, 1, 1, 4, 0, 4, 1, 1, 3, 4, 2, 4, 4, 0, 4, 1, 1, 1, 0, 0, 0, 3, 1, 0, 2, 2, 1, 1, 1, 1, 2, 3, 2, 1, 4, 4, 1, 2, 2, 4, 1, 0, 2, 0, 1, 2, 3, 1, 2, 3, 0, 1, 2, 1, 0, 4, 1, 0, 3, 0, 4, 2, 4, 3, 3, 1, 4, 1, 1, 3, 1, 0, 0, 4, 3, 2, 2, 0, 3, 3, 3, 3, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 4, 0, 4, 4, 4, 2, 1, 4, 3, 4, 0, 2, 0, 1] pubkeycol1664 = [3, 1, 2, 4, 1, 2, 3, 0, 3, 1, 3, 0, 1, 3, 3, 0, 1, 0, 0, 3, 3, 2, 0, 0, 3, 4, 0, 2, 1, 1, 1, 4, 2, 0, 2, 4, 4, 4, 4, 2, 3, 4, 2, 4, 2, 3, 2, 1, 1, 4, 2, 3, 4, 0, 1, 1, 1, 0, 2, 3, 1, 4, 0, 3, 4, 0, 1, 2, 2, 4, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 3, 3, 1, 2, 3, 2, 4, 3, 4, 4, 4, 1, 1, 4, 1, 3, 0, 4, 2, 0, 3, 4, 0, 0, 1, 0, 0, 3, 4, 3, 3, 1, 2, 2, 3, 4, 2, 3, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 3, 2, 0, 1, 0, 0, 3, 0, 2, 0, 0, 3, 0, 1, 1, 3, 0, 0, 4, 3, 2, 1, 2, 4, 2, 2, 3, 4, 3, 3, 1, 1, 1, 4, 2, 0, 3, 4, 1, 1, 0, 3, 3, 1, 1, 4, 1, 1, 1, 3, 4, 4, 4, 1, 1, 4, 1, 1, 1, 3, 1, 4, 4, 2, 0, 1, 2, 1, 2, 4, 3, 4, 1, 3, 1, 2, 4, 3, 4, 3, 3, 4, 0, 3, 2, 1, 1, 2, 0, 1, 4, 4, 1, 2, 4, 0, 3, 0, 1, 1, 1, 2, 1, 1, 3, 1, 0, 4, 0, 2, 0, 0, 2, 1, 3, 1, 2, 2, 1, 3, 2, 4, 0, 2, 3, 0, 2, 2, 2, 3, 2, 4, 1, 3, 3, 3, 4, 2, 4, 1, 4, 3, 1, 2, 4, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 4, 4, 0, 4, 0, 1, 1, 0, 3, 4, 0, 0, 1, 4, 4, 4, 0, 2, 4, 0, 1, 3, 1, 0, 3, 4, 0, 2, 2, 0, 4, 2, 4, 4, 3, 1, 1, 2, 0, 1, 2, 0, 3, 1, 4, 1, 4, 3, 3, 2, 4, 2, 2, 0, 2, 4, 2, 2, 3, 2, 1, 0, 2, 1, 1, 4, 0, 3, 1, 2, 4, 2, 1, 3, 1, 4, 2, 4, 0, 4, 4, 0, 3, 1, 3, 1, 4, 2, 0, 2, 0, 0, 3, 3, 2, 3, 4, 0, 0, 2, 3, 3, 4, 2, 1] pubkeycol1665 = [0, 4, 2, 4, 1, 3, 4, 1, 3, 4, 2, 3, 0, 4, 3, 3, 4, 1, 0, 4, 0, 1, 0, 3, 3, 0, 1, 4, 4, 2, 0, 1, 3, 0, 2, 2, 0, 1, 4, 2, 3, 0, 0, 1, 0, 3, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 4, 0, 1, 4, 2, 3, 2, 4, 1, 4, 2, 1, 0, 0, 3, 3, 4, 2, 3, 2, 1, 2, 0, 4, 1, 2, 3, 1, 4, 1, 3, 0, 3, 4, 2, 1, 2, 3, 4, 0, 2, 1, 1, 4, 0, 3, 1, 3, 0, 1, 0, 0, 2, 2, 4, 0, 1, 0, 0, 1, 4, 0, 0, 1, 2, 4, 0, 1, 2, 4, 4, 1, 4, 2, 0, 1, 0, 3, 1, 1, 0, 2, 3, 2, 2, 3, 1, 4, 1, 3, 0, 1, 1, 3, 3, 0, 4, 2, 3, 1, 4, 0, 0, 2, 3, 3, 2, 2, 3, 0, 1, 4, 2, 2, 2, 0, 4, 1, 1, 3, 2, 0, 4, 0, 2, 3, 1, 1, 2, 0, 3, 2, 2, 1, 3, 1, 3, 3, 2, 2, 0, 4, 1, 2, 2, 0, 0, 1, 3, 3, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 3, 1, 2, 2, 1, 2, 3, 0, 4, 4, 2, 3, 4, 0, 1, 3, 2, 4, 1, 1, 2, 1, 4, 1, 2, 4, 0, 0, 4, 0, 3, 2, 0, 4, 1, 4, 0, 1, 3, 2, 2, 0, 2, 1, 4, 4, 4, 0, 3, 2, 1, 4, 4, 4, 1, 4, 3, 3, 0, 2, 3, 0, 4, 3, 3, 4, 1, 4, 1, 0, 4, 3, 1, 2, 2, 3, 3, 0, 3, 2, 3, 3, 2, 3, 1, 3, 3, 4, 2, 1, 4, 2, 3, 1, 3, 2, 0, 1, 1, 3, 1, 1, 1, 4, 1, 3, 1, 2, 1, 1, 1, 4, 2, 0, 1, 1, 4, 1, 4, 4, 4, 0, 4, 3, 3, 1, 2, 1, 1, 3, 4, 4, 0, 2, 4, 4, 3, 0, 1, 4, 0, 3, 1, 4, 0, 3, 3, 0, 4, 2, 2, 4, 0, 4, 4, 1, 2, 3, 1, 3, 4, 1, 4, 1, 0, 1, 0, 1, 0, 4, 3, 3, 1, 0, 4, 3, 1, 3, 3, 2, 0, 0, 3, 1] pubkeycol1666 = [3, 4, 2, 3, 4, 2, 3, 1, 2, 1, 3, 1, 0, 3, 1, 2, 2, 4, 1, 4, 1, 2, 4, 3, 2, 1, 0, 3, 1, 1, 0, 1, 4, 4, 0, 0, 4, 1, 0, 1, 0, 2, 3, 1, 1, 1, 2, 4, 2, 3, 0, 3, 3, 1, 0, 4, 1, 3, 2, 0, 3, 0, 0, 0, 2, 3, 2, 0, 1, 3, 1, 2, 2, 4, 3, 0, 3, 0, 4, 3, 2, 0, 3, 3, 2, 4, 0, 2, 2, 2, 1, 3, 0, 2, 1, 0, 3, 2, 0, 4, 3, 0, 4, 3, 3, 2, 4, 0, 1, 0, 0, 4, 1, 4, 0, 4, 3, 2, 3, 4, 4, 1, 0, 0, 2, 0, 3, 3, 3, 2, 0, 1, 1, 1, 3, 0, 1, 3, 0, 4, 0, 3, 4, 0, 0, 4, 3, 0, 2, 3, 2, 3, 3, 3, 2, 2, 4, 3, 3, 0, 4, 3, 0, 0, 1, 1, 4, 3, 4, 3, 3, 0, 1, 1, 0, 1, 1, 0, 4, 4, 4, 1, 2, 1, 4, 0, 3, 2, 3, 0, 4, 1, 4, 2, 4, 3, 1, 1, 0, 4, 2, 3, 4, 0, 4, 3, 3, 1, 2, 4, 3, 0, 3, 3, 0, 4, 2, 0, 0, 4, 2, 1, 4, 3, 1, 2, 3, 1, 3, 4, 0, 1, 4, 0, 2, 3, 2, 2, 4, 4, 4, 0, 1, 0, 0, 1, 3, 1, 4, 4, 4, 1, 1, 0, 1, 0, 4, 2, 1, 3, 4, 1, 1, 4, 0, 1, 3, 2, 4, 3, 2, 1, 0, 0, 3, 4, 3, 1, 0, 3, 1, 0, 4, 4, 2, 0, 2, 0, 0, 3, 4, 1, 0, 2, 3, 0, 2, 1, 1, 1, 3, 2, 4, 3, 2, 0, 0, 2, 2, 1, 3, 1, 3, 2, 1, 1, 4, 0, 4, 0, 0, 0, 4, 0, 2, 4, 0, 0, 3, 0, 3, 3, 1, 2, 3, 0, 0, 3, 4, 4, 2, 2, 2, 1, 3, 3, 1, 1, 4, 1, 4, 4, 4, 1, 0, 1, 2, 2, 3, 2, 3, 0, 2, 0, 3, 2, 3, 4, 3, 4, 0, 4, 2, 4, 2, 0, 1, 2, 1, 4, 3, 4, 0, 1, 4, 0, 0, 4, 0, 4, 1, 0, 4, 3, 0, 1, 3, 4, 3, 3] pubkeycol1667 = [1, 0, 3, 3, 3, 1, 2, 4, 1, 1, 3, 2, 0, 4, 4, 0, 0, 4, 3, 1, 4, 0, 0, 3, 1, 1, 0, 0, 3, 3, 3, 3, 3, 1, 3, 2, 3, 3, 1, 0, 3, 1, 4, 2, 1, 4, 4, 2, 1, 1, 2, 0, 0, 1, 0, 4, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 3, 0, 4, 3, 0, 0, 1, 3, 2, 0, 4, 2, 0, 0, 2, 2, 1, 1, 2, 4, 3, 3, 2, 4, 1, 1, 3, 4, 1, 4, 1, 1, 0, 2, 4, 1, 0, 3, 4, 1, 4, 1, 4, 4, 4, 3, 0, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 3, 3, 4, 0, 3, 0, 2, 4, 2, 0, 1, 3, 3, 4, 3, 3, 1, 3, 0, 0, 0, 2, 3, 4, 1, 4, 2, 1, 3, 0, 1, 3, 4, 3, 2, 1, 4, 2, 2, 0, 0, 1, 1, 3, 3, 3, 1, 3, 3, 3, 4, 4, 3, 4, 4, 2, 0, 2, 0, 4, 1, 4, 2, 2, 0, 4, 3, 1, 4, 3, 1, 0, 2, 4, 1, 4, 0, 2, 1, 2, 3, 0, 2, 4, 0, 0, 1, 3, 0, 4, 3, 3, 4, 2, 2, 3, 1, 4, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 1, 1, 3, 0, 4, 4, 4, 0, 0, 1, 4, 1, 3, 1, 2, 4, 3, 4, 3, 0, 2, 0, 3, 4, 2, 0, 1, 3, 2, 2, 4, 2, 1, 0, 2, 2, 0, 4, 4, 4, 4, 1, 4, 2, 3, 2, 4, 0, 0, 3, 4, 4, 2, 0, 0, 3, 2, 2, 1, 4, 1, 3, 4, 0, 3, 3, 4, 2, 2, 2, 1, 3, 2, 2, 0, 2, 2, 3, 3, 2, 0, 2, 3, 3, 1, 0, 4, 2, 1, 1, 3, 0, 1, 2, 0, 3, 1, 1, 2, 3, 3, 3, 3, 1, 0, 1, 4, 0, 3, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 3, 0, 3, 0, 2, 1, 1, 0, 2, 3, 4, 3, 3, 1, 4, 1, 0, 2, 1, 2, 4, 3, 4, 2, 2, 3, 0, 0, 4, 3, 3, 3, 4, 4, 2, 2, 2, 2, 1, 2, 3, 0, 2, 4, 4] pubkeycol1668 = [0, 4, 4, 3, 2, 0, 2, 1, 3, 1, 0, 3, 0, 3, 4, 2, 1, 4, 3, 3, 2, 2, 3, 2, 4, 2, 1, 1, 3, 1, 0, 2, 2, 1, 1, 4, 3, 0, 4, 3, 0, 2, 1, 2, 1, 3, 4, 1, 1, 4, 4, 2, 4, 1, 1, 4, 4, 1, 3, 4, 0, 3, 3, 4, 2, 2, 4, 4, 2, 4, 4, 0, 1, 4, 4, 3, 3, 0, 4, 2, 4, 2, 3, 0, 4, 2, 3, 3, 2, 3, 1, 2, 2, 0, 4, 0, 0, 2, 3, 2, 1, 0, 0, 2, 4, 2, 1, 4, 4, 1, 0, 1, 2, 1, 1, 2, 0, 1, 3, 4, 1, 1, 1, 4, 0, 2, 2, 0, 4, 4, 3, 0, 4, 0, 4, 0, 3, 4, 2, 3, 4, 1, 1, 4, 0, 2, 3, 3, 2, 0, 4, 4, 2, 2, 3, 1, 2, 0, 0, 1, 2, 4, 1, 0, 1, 2, 3, 2, 1, 3, 3, 3, 4, 1, 2, 3, 4, 1, 4, 4, 0, 4, 4, 1, 0, 1, 1, 2, 2, 4, 0, 3, 0, 0, 1, 4, 1, 3, 2, 0, 0, 0, 3, 3, 0, 3, 0, 1, 2, 1, 3, 0, 2, 1, 3, 4, 3, 3, 3, 4, 0, 0, 1, 1, 3, 1, 1, 1, 2, 2, 0, 0, 3, 3, 2, 0, 1, 0, 4, 3, 3, 1, 4, 2, 2, 4, 2, 4, 0, 1, 2, 0, 0, 1, 4, 4, 1, 2, 1, 1, 2, 0, 3, 4, 0, 3, 4, 1, 3, 2, 2, 2, 0, 0, 3, 4, 4, 2, 1, 4, 4, 2, 1, 1, 3, 4, 3, 2, 1, 0, 3, 2, 0, 4, 3, 0, 2, 2, 4, 0, 2, 3, 4, 0, 3, 2, 4, 4, 0, 4, 1, 1, 3, 1, 3, 3, 0, 0, 3, 3, 4, 3, 4, 3, 2, 3, 0, 1, 4, 4, 2, 3, 3, 2, 2, 2, 2, 4, 3, 4, 1, 4, 3, 2, 0, 2, 2, 3, 3, 1, 3, 2, 3, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 4, 0, 0, 3, 0, 3, 0, 4, 3, 3, 0, 2, 0, 0, 0, 3, 0, 2, 0, 0, 3, 3, 1, 1, 0, 1, 3, 0, 4, 1, 3, 4, 0, 1] pubkeycol1669 = [0, 1, 4, 4, 1, 3, 1, 0, 3, 1, 1, 0, 2, 1, 1, 3, 4, 2, 2, 1, 2, 4, 0, 4, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 3, 0, 3, 0, 1, 3, 4, 3, 3, 2, 2, 4, 3, 1, 4, 0, 0, 4, 0, 2, 1, 2, 4, 4, 4, 0, 3, 1, 3, 2, 2, 4, 4, 1, 2, 2, 3, 3, 4, 2, 1, 0, 3, 4, 0, 0, 1, 2, 3, 1, 3, 4, 1, 3, 2, 1, 2, 2, 4, 1, 1, 0, 0, 1, 3, 3, 3, 3, 0, 0, 4, 0, 0, 4, 1, 0, 2, 4, 1, 3, 4, 0, 4, 0, 1, 2, 2, 1, 2, 3, 2, 0, 4, 0, 3, 0, 2, 0, 3, 4, 4, 3, 0, 0, 0, 2, 1, 0, 3, 2, 0, 3, 3, 2, 1, 1, 4, 2, 0, 3, 1, 2, 2, 2, 2, 4, 1, 1, 2, 3, 2, 4, 1, 2, 3, 2, 0, 3, 4, 3, 4, 3, 4, 1, 1, 1, 3, 3, 1, 1, 2, 0, 4, 3, 1, 0, 4, 3, 2, 4, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 4, 1, 1, 1, 3, 1, 3, 1, 3, 0, 4, 4, 1, 1, 1, 0, 0, 1, 4, 4, 2, 4, 0, 0, 0, 3, 0, 3, 1, 3, 1, 1, 1, 1, 4, 2, 0, 1, 4, 4, 4, 2, 0, 1, 1, 3, 4, 4, 4, 3, 0, 3, 3, 4, 4, 2, 3, 0, 2, 0, 2, 1, 2, 2, 0, 2, 4, 4, 1, 0, 1, 1, 3, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 4, 4, 3, 1, 2, 1, 1, 1, 0, 2, 1, 3, 2, 2, 3, 1, 4, 4, 0, 4, 0, 4, 4, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 3, 4, 0, 3, 4, 4, 4, 4, 2, 0, 4, 2, 4, 0, 2, 0, 2, 0, 1, 1, 3, 3, 1, 2, 1, 0, 3, 2, 1, 0, 2, 1, 1, 1, 3, 1, 0, 0, 2, 0, 4, 0, 4, 1, 4, 2, 4, 4, 0, 0, 0, 0, 2, 2, 3, 3, 1, 1, 1, 3, 0, 0, 3, 4, 4, 2, 2, 2, 3, 3, 0, 0, 2, 3, 2, 3] pubkeycol1670 = [3, 3, 1, 0, 2, 2, 0, 4, 3, 2, 0, 4, 4, 3, 1, 1, 2, 1, 1, 4, 4, 0, 1, 4, 2, 3, 1, 3, 0, 4, 2, 1, 0, 4, 0, 3, 1, 1, 2, 1, 2, 0, 4, 3, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 3, 3, 0, 1, 0, 4, 4, 2, 1, 1, 2, 2, 0, 1, 1, 2, 3, 0, 4, 0, 4, 2, 4, 0, 2, 0, 4, 4, 3, 2, 1, 0, 2, 4, 3, 4, 4, 1, 0, 3, 4, 4, 1, 3, 0, 0, 2, 0, 2, 4, 2, 2, 3, 1, 4, 1, 1, 1, 4, 3, 4, 1, 4, 3, 3, 0, 1, 0, 2, 0, 3, 2, 1, 0, 1, 1, 3, 3, 4, 4, 4, 4, 3, 3, 1, 4, 3, 0, 3, 3, 3, 4, 4, 3, 4, 1, 2, 3, 4, 4, 4, 2, 4, 3, 1, 1, 2, 4, 2, 3, 4, 2, 0, 2, 3, 0, 4, 1, 4, 4, 0, 2, 1, 0, 4, 0, 2, 2, 2, 2, 4, 0, 1, 0, 2, 0, 2, 4, 3, 4, 2, 1, 0, 0, 2, 3, 1, 2, 1, 4, 0, 4, 1, 3, 4, 1, 3, 0, 1, 4, 3, 0, 0, 0, 1, 0, 2, 0, 4, 1, 2, 1, 0, 1, 3, 2, 4, 3, 1, 1, 3, 0, 1, 0, 1, 2, 4, 1, 2, 0, 1, 2, 2, 1, 0, 3, 2, 4, 3, 0, 3, 0, 1, 4, 0, 2, 1, 2, 3, 0, 3, 2, 4, 2, 1, 3, 4, 4, 2, 4, 1, 4, 3, 1, 3, 1, 3, 4, 3, 0, 2, 2, 2, 1, 1, 4, 3, 3, 2, 0, 0, 3, 4, 2, 4, 2, 2, 4, 3, 2, 1, 1, 3, 0, 1, 3, 1, 2, 2, 1, 4, 2, 0, 1, 3, 1, 2, 3, 2, 2, 4, 4, 2, 4, 3, 4, 3, 1, 0, 2, 0, 4, 3, 4, 0, 0, 0, 1, 3, 1, 4, 0, 0, 3, 2, 4, 0, 1, 1, 0, 2, 4, 4, 2, 0, 1, 0, 2, 4, 4, 0, 2, 3, 0, 0, 0, 4, 3, 1, 2, 0, 4, 3, 2, 1, 4, 3, 4, 1, 3, 3, 0, 1, 3, 4, 1, 1, 0, 1, 1, 4, 3, 4, 2, 0, 2] pubkeycol1671 = [4, 2, 4, 2, 2, 1, 1, 4, 2, 1, 0, 4, 2, 4, 4, 0, 0, 4, 4, 1, 2, 0, 2, 4, 2, 0, 4, 0, 1, 4, 0, 1, 0, 1, 4, 3, 4, 2, 4, 4, 2, 3, 2, 4, 0, 4, 4, 2, 0, 3, 4, 0, 0, 0, 0, 4, 2, 2, 4, 2, 0, 3, 0, 4, 2, 1, 3, 0, 1, 2, 3, 4, 1, 4, 2, 4, 1, 2, 1, 3, 2, 3, 2, 4, 2, 1, 0, 2, 4, 2, 1, 1, 4, 4, 1, 0, 1, 3, 4, 3, 2, 2, 2, 1, 4, 1, 1, 3, 3, 0, 3, 1, 2, 3, 0, 2, 3, 4, 4, 4, 3, 4, 1, 3, 4, 4, 2, 1, 1, 2, 0, 1, 1, 1, 4, 1, 0, 0, 3, 3, 0, 1, 3, 0, 3, 2, 3, 1, 2, 3, 4, 4, 4, 1, 0, 2, 0, 0, 4, 2, 3, 3, 1, 2, 0, 3, 3, 3, 0, 3, 3, 3, 3, 2, 1, 2, 3, 0, 0, 2, 0, 2, 2, 1, 0, 4, 2, 1, 4, 2, 4, 1, 0, 2, 3, 2, 3, 4, 2, 0, 0, 0, 3, 4, 3, 1, 1, 4, 2, 4, 4, 4, 3, 3, 2, 1, 1, 0, 3, 4, 1, 0, 3, 4, 3, 2, 0, 1, 3, 4, 1, 0, 4, 0, 3, 2, 1, 2, 2, 3, 2, 0, 1, 3, 3, 1, 0, 2, 1, 3, 4, 0, 0, 4, 4, 2, 0, 1, 3, 1, 0, 3, 2, 0, 4, 1, 2, 3, 1, 0, 1, 4, 4, 2, 1, 0, 3, 0, 2, 0, 0, 0, 4, 0, 2, 1, 3, 2, 2, 4, 0, 4, 4, 2, 2, 3, 2, 4, 0, 4, 2, 4, 3, 0, 3, 0, 3, 3, 0, 0, 0, 4, 1, 3, 0, 3, 4, 4, 1, 0, 4, 4, 3, 3, 0, 0, 0, 4, 4, 0, 4, 0, 2, 4, 3, 0, 4, 2, 0, 1, 1, 3, 0, 0, 4, 0, 1, 3, 1, 0, 1, 0, 0, 1, 1, 0, 2, 4, 3, 4, 3, 4, 4, 4, 3, 3, 1, 2, 3, 1, 0, 0, 4, 3, 3, 3, 4, 0, 3, 3, 2, 2, 3, 2, 3, 4, 4, 3, 3, 1, 1, 2, 1, 1, 3, 1, 1, 0, 0, 0] pubkeycol1672 = [4, 4, 3, 2, 2, 4, 3, 1, 3, 4, 2, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 0, 3, 0, 3, 1, 1, 1, 0, 0, 1, 0, 3, 0, 2, 1, 2, 0, 3, 0, 2, 4, 1, 3, 0, 3, 0, 3, 2, 4, 0, 0, 3, 1, 1, 2, 0, 0, 4, 0, 3, 4, 4, 2, 1, 2, 1, 3, 2, 4, 1, 1, 0, 3, 1, 1, 1, 0, 3, 2, 4, 4, 0, 3, 4, 0, 0, 4, 0, 4, 1, 2, 3, 4, 2, 4, 2, 2, 0, 2, 3, 4, 4, 0, 0, 4, 0, 2, 2, 1, 2, 4, 0, 1, 0, 3, 3, 0, 4, 2, 1, 2, 3, 0, 0, 2, 2, 4, 1, 1, 1, 3, 2, 4, 2, 2, 0, 1, 0, 3, 0, 4, 0, 4, 3, 2, 4, 1, 2, 2, 0, 1, 1, 4, 3, 3, 4, 2, 0, 0, 4, 0, 3, 2, 2, 2, 0, 4, 0, 2, 3, 3, 3, 3, 3, 3, 0, 4, 1, 1, 2, 0, 4, 1, 4, 1, 2, 4, 4, 0, 1, 0, 4, 3, 3, 2, 1, 2, 4, 3, 3, 0, 2, 3, 4, 1, 0, 4, 0, 4, 4, 4, 0, 0, 1, 0, 0, 4, 1, 0, 2, 2, 1, 0, 0, 3, 0, 2, 2, 4, 2, 1, 3, 3, 3, 1, 3, 3, 2, 1, 4, 1, 2, 2, 0, 3, 4, 2, 3, 1, 4, 0, 4, 2, 2, 2, 0, 0, 1, 0, 1, 0, 3, 2, 4, 3, 3, 4, 1, 0, 3, 4, 2, 2, 2, 2, 2, 3, 0, 4, 0, 3, 4, 3, 4, 2, 3, 4, 2, 3, 0, 3, 2, 4, 0, 2, 0, 3, 4, 0, 0, 2, 0, 0, 2, 2, 3, 4, 3, 2, 4, 1, 0, 0, 2, 3, 0, 2, 4, 3, 3, 3, 3, 2, 0, 2, 0, 0, 4, 3, 0, 4, 0, 4, 0, 4, 0, 0, 4, 1, 3, 3, 3, 3, 2, 1, 0, 1, 4, 4, 1, 3, 3, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 4, 2, 2, 1, 3, 1, 0, 4, 4, 2, 2, 1, 3, 1, 0, 3, 1, 2, 4, 1, 2, 4, 0, 2, 4] pubkeycol1673 = [2, 4, 1, 3, 2, 4, 2, 0, 3, 2, 4, 4, 3, 3, 4, 2, 0, 4, 4, 4, 2, 3, 3, 2, 3, 2, 2, 3, 1, 4, 4, 3, 4, 2, 4, 1, 3, 1, 2, 0, 4, 3, 2, 1, 4, 4, 2, 4, 3, 2, 2, 4, 1, 4, 2, 2, 1, 4, 3, 3, 0, 2, 4, 4, 1, 1, 3, 4, 1, 0, 1, 4, 4, 0, 4, 4, 3, 2, 1, 2, 1, 0, 1, 3, 3, 1, 1, 1, 0, 0, 4, 2, 4, 1, 4, 2, 4, 4, 0, 0, 4, 0, 0, 1, 1, 3, 0, 3, 1, 1, 3, 3, 4, 3, 2, 1, 4, 0, 0, 1, 4, 3, 2, 3, 2, 0, 2, 2, 2, 2, 4, 1, 4, 3, 0, 4, 4, 0, 1, 4, 4, 4, 4, 1, 2, 0, 3, 2, 4, 2, 1, 0, 0, 4, 0, 0, 1, 0, 1, 2, 3, 0, 0, 0, 0, 4, 1, 2, 2, 2, 2, 3, 1, 2, 4, 4, 1, 4, 1, 3, 3, 1, 1, 3, 2, 4, 0, 4, 1, 0, 1, 3, 3, 2, 1, 0, 2, 0, 1, 1, 4, 1, 3, 3, 1, 1, 1, 0, 2, 3, 4, 3, 2, 4, 3, 1, 3, 2, 1, 4, 3, 2, 3, 2, 0, 3, 1, 2, 2, 3, 0, 1, 3, 1, 3, 1, 2, 4, 3, 2, 4, 0, 2, 3, 4, 1, 0, 3, 1, 1, 2, 2, 1, 4, 0, 1, 2, 4, 1, 1, 3, 1, 2, 2, 0, 2, 0, 2, 1, 4, 1, 0, 0, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 1, 1, 3, 4, 1, 0, 2, 1, 4, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 4, 1, 0, 3, 4, 1, 4, 3, 2, 3, 3, 0, 4, 2, 4, 3, 4, 0, 0, 4, 1, 1, 0, 2, 3, 3, 1, 0, 0, 3, 3, 0, 2, 4, 2, 1, 1, 0, 0, 2, 4, 3, 1, 2, 2, 4, 3, 3, 1, 0, 1, 4, 0, 3, 2, 4, 2, 1, 4, 4, 0, 2, 4, 0, 4, 1, 3, 0, 0, 2, 2, 1, 4, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 3, 2, 0, 4, 1, 1, 0, 3, 2, 0, 0, 3, 2, 0] pubkeycol1674 = [4, 4, 4, 0, 3, 1, 3, 1, 3, 0, 2, 2, 4, 0, 2, 1, 0, 2, 4, 3, 2, 4, 3, 1, 4, 3, 3, 1, 0, 4, 1, 4, 2, 3, 1, 0, 4, 2, 2, 1, 2, 1, 3, 1, 2, 4, 3, 4, 4, 3, 0, 2, 3, 0, 2, 4, 2, 4, 1, 2, 4, 0, 2, 2, 1, 3, 2, 4, 3, 4, 2, 4, 3, 2, 0, 1, 4, 1, 4, 3, 4, 1, 2, 0, 1, 0, 2, 3, 4, 4, 0, 1, 1, 2, 2, 1, 1, 4, 2, 0, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 3, 2, 4, 0, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 0, 0, 3, 3, 1, 3, 1, 4, 1, 2, 3, 1, 0, 4, 0, 2, 3, 0, 2, 3, 0, 3, 0, 0, 1, 0, 2, 0, 0, 4, 3, 4, 0, 4, 3, 2, 1, 3, 0, 4, 1, 3, 0, 3, 2, 4, 4, 4, 0, 4, 4, 3, 0, 1, 2, 1, 4, 3, 1, 3, 0, 1, 4, 2, 4, 4, 2, 2, 3, 3, 1, 1, 3, 4, 3, 0, 2, 0, 3, 4, 2, 1, 4, 4, 3, 4, 2, 2, 2, 2, 2, 1, 4, 1, 0, 4, 1, 4, 0, 0, 2, 0, 0, 1, 3, 0, 1, 0, 3, 3, 0, 4, 0, 4, 3, 0, 1, 4, 2, 1, 4, 3, 0, 0, 2, 0, 1, 1, 3, 4, 4, 3, 4, 2, 2, 3, 2, 0, 4, 2, 2, 1, 1, 4, 1, 3, 3, 4, 3, 2, 4, 2, 2, 0, 0, 2, 1, 1, 4, 0, 4, 3, 4, 0, 2, 1, 3, 3, 3, 3, 2, 3, 2, 0, 2, 1, 3, 1, 1, 1, 3, 2, 2, 2, 0, 0, 0, 0, 3, 0, 3, 2, 1, 4, 2, 4, 1, 0, 1, 1, 0, 0, 4, 4, 1, 3, 4, 2, 3, 4, 0, 2, 2, 3, 3, 4, 0, 4, 1, 1, 3, 1, 4, 4, 0, 3, 2, 3, 3, 3, 1, 2, 3, 0, 4, 0, 0, 0, 1, 4, 0, 2, 4, 2, 4, 1, 1, 1, 2, 3, 2, 1, 1, 2, 3, 1, 3, 3, 4, 3, 2, 3, 4, 2, 3, 1, 3, 4, 4, 0, 1, 0, 2, 1, 1] pubkeycol1675 = [1, 4, 3, 1, 4, 0, 0, 0, 1, 0, 1, 4, 3, 1, 0, 1, 0, 4, 0, 3, 2, 4, 1, 3, 0, 0, 0, 4, 2, 0, 2, 1, 1, 1, 3, 2, 2, 1, 4, 0, 4, 1, 4, 4, 3, 0, 2, 0, 2, 0, 3, 2, 1, 1, 3, 0, 0, 0, 4, 3, 2, 1, 1, 3, 2, 3, 3, 2, 2, 0, 0, 4, 4, 3, 3, 1, 4, 1, 0, 2, 1, 3, 0, 1, 2, 2, 3, 0, 3, 0, 2, 4, 1, 1, 1, 1, 3, 1, 3, 2, 1, 0, 1, 4, 2, 2, 1, 1, 1, 0, 4, 3, 1, 0, 4, 4, 4, 2, 1, 3, 1, 3, 1, 3, 2, 3, 2, 4, 0, 1, 0, 1, 2, 3, 3, 0, 3, 4, 3, 2, 2, 0, 1, 4, 4, 3, 4, 3, 1, 4, 0, 3, 1, 0, 4, 4, 2, 2, 3, 1, 3, 0, 1, 1, 3, 1, 4, 0, 4, 3, 3, 1, 4, 0, 0, 1, 1, 3, 3, 2, 3, 1, 4, 4, 3, 1, 2, 0, 1, 0, 2, 1, 3, 1, 1, 4, 4, 1, 2, 0, 1, 2, 0, 0, 0, 4, 0, 4, 2, 4, 2, 0, 4, 3, 3, 0, 4, 0, 2, 1, 4, 4, 2, 1, 0, 2, 4, 0, 4, 4, 2, 3, 3, 2, 4, 1, 3, 2, 3, 1, 4, 4, 1, 2, 2, 4, 2, 3, 3, 3, 1, 1, 2, 4, 4, 4, 4, 0, 0, 2, 3, 0, 2, 1, 4, 2, 1, 1, 0, 0, 2, 4, 4, 4, 0, 3, 0, 3, 1, 3, 1, 0, 1, 1, 4, 2, 3, 1, 3, 0, 0, 0, 2, 3, 2, 1, 4, 2, 1, 2, 4, 1, 1, 0, 0, 1, 1, 3, 2, 3, 0, 0, 0, 3, 4, 1, 4, 0, 3, 1, 2, 0, 1, 2, 3, 3, 2, 1, 3, 1, 4, 1, 3, 1, 1, 2, 2, 1, 3, 0, 0, 4, 1, 4, 4, 1, 1, 4, 1, 0, 4, 0, 2, 4, 3, 0, 0, 0, 0, 1, 3, 0, 2, 3, 0, 0, 1, 4, 4, 3, 1, 3, 0, 2, 2, 1, 1, 4, 4, 4, 4, 1, 3, 4, 0, 4, 3, 3, 1, 4, 1, 4, 4, 3, 3, 4, 0, 1, 3, 4] pubkeycol1676 = [4, 3, 1, 0, 1, 4, 1, 4, 3, 1, 0, 2, 3, 4, 2, 2, 2, 3, 4, 1, 2, 2, 0, 3, 4, 4, 0, 1, 4, 4, 2, 4, 4, 3, 0, 2, 1, 4, 3, 4, 4, 4, 1, 2, 0, 1, 3, 0, 4, 2, 4, 4, 4, 1, 3, 4, 3, 4, 4, 2, 0, 0, 3, 3, 0, 1, 1, 3, 4, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 4, 0, 3, 2, 2, 1, 1, 0, 3, 2, 4, 2, 1, 0, 2, 2, 1, 3, 2, 2, 1, 3, 2, 0, 2, 4, 2, 3, 3, 3, 2, 4, 3, 0, 3, 3, 4, 2, 4, 0, 1, 1, 2, 4, 0, 3, 1, 0, 3, 2, 2, 0, 4, 2, 2, 0, 0, 0, 4, 1, 2, 3, 1, 1, 2, 0, 0, 4, 1, 2, 3, 4, 4, 1, 3, 1, 1, 1, 2, 1, 2, 2, 4, 3, 2, 3, 3, 0, 3, 0, 3, 2, 3, 3, 3, 1, 2, 4, 0, 4, 0, 2, 1, 0, 3, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 4, 2, 4, 2, 2, 3, 0, 4, 4, 4, 1, 1, 1, 4, 3, 4, 4, 4, 4, 2, 4, 3, 1, 0, 1, 4, 4, 3, 3, 1, 2, 4, 1, 0, 2, 4, 2, 0, 2, 3, 4, 3, 3, 0, 0, 4, 1, 2, 3, 4, 1, 1, 1, 3, 0, 4, 1, 4, 1, 3, 0, 1, 0, 0, 3, 2, 0, 3, 3, 4, 2, 2, 2, 4, 1, 3, 1, 0, 0, 1, 0, 4, 2, 1, 4, 1, 4, 2, 2, 3, 3, 1, 0, 0, 2, 3, 4, 2, 2, 3, 0, 2, 3, 3, 2, 4, 2, 4, 4, 0, 1, 2, 0, 0, 3, 4, 2, 0, 2, 1, 2, 1, 2, 3, 3, 2, 2, 1, 2, 4, 2, 0, 4, 2, 4, 2, 0, 2, 2, 3, 1, 1, 3, 1, 0, 1, 1, 0, 4, 0, 1, 3, 0, 2, 0, 4, 3, 3, 3, 2, 3, 2, 2, 4, 1, 0, 2, 1, 4, 3, 3, 4, 3, 2, 4, 1, 4, 0, 4, 3, 3, 4, 0, 1, 2, 3, 1, 2, 0, 0, 2, 2, 4, 0, 4, 1, 1, 2, 4, 1, 1] pubkeycol1677 = [4, 1, 3, 1, 2, 3, 3, 4, 4, 1, 1, 3, 2, 1, 3, 1, 3, 1, 1, 3, 4, 1, 2, 2, 3, 1, 1, 0, 0, 4, 3, 1, 2, 3, 4, 2, 0, 2, 4, 3, 0, 4, 4, 3, 3, 1, 2, 4, 1, 1, 4, 0, 0, 2, 3, 2, 3, 0, 3, 4, 2, 0, 0, 0, 2, 2, 1, 2, 1, 3, 3, 3, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 4, 2, 4, 2, 0, 4, 1, 1, 4, 3, 1, 3, 1, 4, 1, 4, 4, 1, 1, 1, 3, 2, 3, 4, 1, 2, 2, 0, 4, 4, 4, 3, 4, 3, 0, 4, 4, 4, 1, 3, 0, 2, 3, 0, 2, 4, 4, 4, 4, 1, 2, 0, 0, 0, 2, 2, 4, 3, 0, 0, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 4, 1, 2, 4, 1, 2, 1, 3, 2, 3, 4, 1, 2, 0, 0, 4, 2, 3, 2, 2, 3, 4, 0, 1, 0, 1, 1, 4, 0, 1, 3, 1, 4, 4, 0, 1, 4, 2, 3, 3, 2, 2, 3, 3, 4, 0, 2, 0, 2, 0, 3, 1, 4, 2, 1, 3, 1, 1, 3, 0, 4, 1, 4, 2, 3, 1, 3, 1, 3, 2, 1, 0, 3, 4, 3, 0, 3, 4, 3, 3, 4, 2, 4, 2, 4, 4, 3, 2, 2, 4, 3, 3, 0, 1, 3, 3, 0, 3, 0, 2, 2, 3, 4, 3, 2, 0, 2, 3, 3, 3, 3, 3, 2, 4, 3, 2, 1, 1, 2, 4, 3, 3, 4, 4, 3, 0, 2, 3, 2, 0, 3, 3, 1, 4, 1, 3, 4, 0, 3, 2, 2, 1, 0, 2, 1, 0, 1, 3, 4, 1, 3, 4, 2, 0, 3, 3, 0, 2, 0, 2, 1, 0, 0, 4, 4, 0, 3, 4, 4, 1, 0, 2, 1, 2, 3, 0, 2, 1, 2, 0, 1, 3, 2, 3, 3, 0, 1, 0, 3, 1, 4, 2, 1, 4, 4, 1, 0, 0, 3, 4, 4, 3, 4, 4, 2, 0, 1, 3, 0, 0, 3, 1, 2, 3, 4, 0, 0, 0, 3, 2, 0, 3, 4, 3, 4, 3, 4, 0, 4, 2, 3, 1, 4, 0, 3, 0, 4, 3, 4, 3, 0, 1, 2, 0, 2] pubkeycol1678 = [0, 1, 3, 1, 1, 2, 3, 4, 1, 4, 4, 2, 4, 0, 2, 0, 1, 0, 0, 1, 3, 4, 1, 1, 2, 1, 2, 0, 0, 3, 4, 0, 4, 2, 3, 1, 2, 4, 4, 0, 2, 0, 1, 4, 2, 0, 3, 2, 0, 3, 3, 4, 4, 4, 1, 3, 3, 2, 0, 2, 0, 2, 4, 1, 1, 0, 4, 4, 1, 1, 4, 3, 4, 1, 1, 1, 0, 1, 3, 2, 3, 3, 1, 4, 2, 2, 1, 1, 4, 4, 1, 4, 3, 1, 4, 4, 4, 4, 3, 3, 0, 4, 3, 4, 2, 3, 1, 4, 2, 1, 4, 2, 1, 3, 4, 3, 0, 4, 4, 3, 4, 4, 0, 2, 1, 4, 4, 1, 0, 2, 2, 1, 3, 3, 0, 4, 3, 3, 3, 1, 1, 4, 0, 2, 0, 2, 4, 0, 4, 1, 0, 3, 3, 4, 3, 2, 1, 1, 3, 2, 0, 3, 0, 0, 0, 4, 0, 4, 4, 3, 1, 0, 2, 2, 3, 3, 1, 3, 2, 0, 4, 2, 2, 4, 3, 3, 1, 0, 1, 4, 2, 0, 3, 4, 3, 1, 1, 2, 3, 2, 0, 0, 2, 4, 2, 1, 0, 2, 3, 2, 1, 2, 3, 3, 4, 1, 1, 4, 3, 2, 2, 3, 4, 2, 0, 1, 0, 2, 3, 2, 4, 0, 3, 1, 0, 2, 1, 3, 3, 0, 2, 3, 0, 3, 3, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 3, 4, 0, 3, 1, 3, 0, 3, 0, 3, 0, 3, 4, 0, 4, 0, 2, 4, 1, 0, 3, 2, 0, 0, 1, 3, 2, 4, 3, 3, 1, 0, 2, 1, 4, 1, 0, 0, 3, 2, 4, 3, 0, 4, 2, 3, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 3, 3, 0, 3, 3, 3, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 3, 1, 4, 2, 0, 3, 0, 2, 3, 2, 4, 4, 1, 4, 1, 0, 4, 0, 1, 4, 4, 0, 2, 4, 1, 0, 1, 3, 2, 4, 0, 3, 2, 2, 4, 1, 1, 2, 1, 4, 2, 3, 3, 0, 4, 1, 4, 3, 0, 2, 3, 1, 3, 0, 4, 4, 0, 4, 4, 3] pubkeycol1679 = [4, 0, 4, 0, 4, 4, 4, 0, 0, 2, 2, 4, 0, 3, 0, 4, 4, 1, 1, 0, 0, 0, 4, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 0, 1, 4, 1, 4, 0, 1, 4, 4, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 4, 3, 1, 2, 2, 2, 3, 2, 3, 3, 3, 1, 0, 3, 1, 1, 0, 4, 1, 0, 0, 4, 2, 3, 2, 2, 3, 2, 1, 1, 3, 0, 0, 2, 2, 4, 2, 1, 2, 4, 1, 3, 0, 1, 3, 1, 3, 2, 4, 2, 0, 0, 1, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 1, 3, 4, 4, 2, 4, 3, 1, 1, 1, 1, 3, 0, 1, 0, 1, 1, 0, 4, 3, 3, 1, 0, 0, 3, 4, 1, 1, 0, 2, 1, 3, 0, 0, 4, 2, 2, 4, 4, 3, 3, 0, 3, 3, 1, 4, 2, 2, 2, 0, 0, 4, 2, 2, 0, 4, 0, 0, 3, 2, 1, 1, 1, 0, 3, 4, 4, 2, 2, 0, 2, 2, 0, 4, 4, 4, 2, 1, 1, 2, 4, 1, 1, 4, 4, 3, 1, 0, 4, 0, 1, 1, 3, 1, 0, 1, 0, 0, 2, 2, 1, 1, 4, 0, 1, 1, 0, 2, 0, 3, 1, 0, 2, 4, 1, 2, 2, 2, 1, 3, 3, 3, 1, 0, 4, 3, 1, 2, 3, 3, 0, 1, 3, 4, 4, 4, 0, 0, 0, 2, 2, 1, 2, 3, 4, 3, 3, 1, 2, 0, 0, 1, 4, 1, 3, 0, 1, 4, 1, 1, 4, 3, 0, 0, 4, 0, 4, 1, 2, 4, 4, 3, 2, 2, 1, 2, 0, 4, 2, 3, 0, 0, 2, 1, 2, 2, 1, 1, 4, 3, 4, 1, 3, 1, 0, 2, 2, 3, 1, 4, 0, 0, 4, 0, 4, 4, 3, 4, 0, 1, 0, 0, 4, 4, 1, 0, 1, 4, 2, 4, 0, 0, 4, 2, 1, 1, 2, 2, 3, 2, 0, 3, 2, 0, 4, 4, 1, 1, 1, 0, 2, 3, 4, 4, 0, 4, 1, 0, 4, 4, 4, 1, 3, 1, 2, 0, 3, 0, 2, 3, 1, 4, 3, 1, 3, 1, 1, 1, 2, 1, 1, 3, 3, 0, 1, 1, 3, 4, 1, 4, 0, 0, 0, 4] pubkeycol1680 = [0, 2, 1, 1, 3, 1, 0, 0, 2, 4, 1, 3, 3, 2, 4, 1, 1, 2, 1, 4, 0, 0, 2, 1, 4, 0, 3, 2, 4, 4, 4, 4, 2, 0, 2, 0, 2, 3, 1, 0, 3, 4, 1, 2, 1, 1, 0, 2, 1, 0, 4, 3, 2, 3, 1, 3, 3, 0, 4, 1, 1, 2, 0, 4, 2, 1, 4, 1, 0, 4, 1, 3, 1, 4, 4, 0, 2, 1, 2, 4, 0, 4, 2, 4, 4, 2, 3, 4, 4, 4, 4, 2, 3, 0, 1, 1, 0, 4, 3, 0, 2, 2, 0, 3, 3, 1, 1, 2, 2, 1, 1, 0, 4, 3, 1, 0, 4, 4, 1, 4, 2, 1, 1, 3, 0, 2, 1, 2, 2, 4, 2, 3, 0, 4, 1, 1, 0, 0, 3, 0, 1, 1, 2, 1, 2, 3, 0, 2, 4, 1, 1, 2, 4, 2, 4, 4, 2, 1, 0, 2, 0, 2, 3, 1, 2, 4, 2, 0, 2, 1, 2, 2, 1, 3, 1, 2, 1, 2, 2, 0, 0, 0, 3, 4, 3, 4, 2, 2, 1, 2, 0, 4, 0, 2, 3, 4, 3, 4, 0, 0, 1, 2, 4, 0, 4, 2, 0, 2, 0, 1, 4, 1, 0, 2, 0, 2, 0, 1, 2, 4, 0, 0, 2, 3, 4, 1, 3, 4, 3, 2, 2, 2, 1, 4, 1, 2, 2, 1, 3, 3, 1, 4, 3, 0, 0, 1, 2, 1, 3, 2, 3, 0, 0, 1, 0, 4, 4, 0, 4, 1, 3, 2, 3, 2, 4, 4, 0, 1, 3, 4, 3, 2, 4, 2, 1, 0, 2, 3, 1, 4, 1, 4, 0, 0, 3, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 0, 3, 0, 0, 3, 1, 1, 3, 1, 3, 2, 0, 2, 0, 1, 1, 1, 0, 4, 1, 2, 0, 0, 3, 0, 1, 2, 0, 4, 1, 4, 2, 4, 0, 0, 0, 1, 0, 2, 3, 4, 1, 3, 3, 0, 1, 2, 1, 2, 1, 3, 1, 3, 4, 0, 2, 3, 4, 4, 3, 1, 3, 4, 2, 4, 0, 3, 2, 1, 2, 3, 1, 3, 3, 0, 4, 3, 4, 1, 1, 0, 4, 2, 1, 0, 2, 4, 4, 3, 3, 2, 1, 2, 1, 4, 2, 4, 0, 1, 2, 2, 3, 1, 2, 0] pubkeycol1681 = [1, 1, 1, 2, 3, 3, 2, 4, 1, 1, 0, 2, 4, 0, 2, 2, 3, 0, 0, 0, 0, 3, 4, 4, 1, 2, 2, 1, 2, 3, 1, 4, 1, 3, 3, 0, 1, 0, 4, 0, 4, 1, 1, 1, 2, 0, 2, 0, 4, 1, 4, 2, 3, 4, 0, 2, 3, 1, 1, 3, 3, 4, 3, 3, 0, 0, 0, 3, 2, 1, 4, 0, 1, 3, 3, 0, 3, 3, 3, 3, 3, 1, 2, 2, 4, 1, 4, 3, 1, 2, 2, 2, 0, 2, 4, 1, 4, 3, 1, 3, 2, 2, 2, 1, 3, 4, 3, 0, 4, 4, 0, 0, 2, 1, 4, 1, 4, 2, 3, 3, 2, 0, 2, 1, 3, 3, 3, 4, 4, 1, 4, 0, 4, 2, 1, 4, 0, 3, 1, 3, 4, 0, 2, 4, 1, 3, 0, 0, 2, 4, 0, 4, 3, 3, 4, 2, 0, 4, 1, 1, 1, 3, 4, 2, 3, 0, 1, 1, 1, 1, 2, 3, 2, 3, 3, 0, 3, 2, 2, 3, 4, 1, 2, 0, 3, 1, 0, 0, 3, 0, 4, 1, 1, 1, 1, 0, 3, 3, 0, 3, 1, 0, 3, 3, 2, 3, 3, 3, 0, 3, 3, 4, 0, 2, 2, 4, 2, 1, 4, 1, 3, 4, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 0, 4, 0, 4, 4, 3, 1, 1, 0, 0, 0, 1, 4, 4, 2, 4, 3, 2, 3, 3, 1, 3, 1, 3, 3, 0, 1, 3, 0, 3, 1, 2, 2, 1, 0, 0, 2, 3, 3, 2, 2, 3, 0, 3, 1, 4, 1, 0, 1, 0, 3, 4, 4, 2, 2, 2, 0, 4, 2, 0, 1, 1, 4, 1, 2, 4, 4, 0, 2, 4, 0, 3, 4, 2, 3, 4, 3, 3, 2, 1, 0, 4, 0, 1, 4, 1, 3, 3, 3, 0, 2, 0, 0, 4, 4, 4, 3, 0, 3, 2, 0, 4, 1, 3, 1, 1, 2, 1, 1, 3, 0, 1, 2, 0, 0, 3, 3, 1, 1, 3, 1, 0, 3, 4, 1, 4, 2, 0, 1, 4, 3, 3, 3, 2, 3, 1, 0, 2, 2, 3, 1, 0, 1, 2, 3, 1, 1, 4, 1, 2, 0, 3, 0, 0, 3, 0, 0, 0, 0, 1, 4, 0, 0] pubkeycol1682 = [1, 1, 1, 4, 1, 4, 1, 3, 4, 0, 0, 4, 4, 0, 0, 2, 4, 4, 0, 4, 1, 1, 3, 2, 4, 1, 4, 1, 3, 2, 4, 4, 1, 4, 0, 1, 4, 2, 2, 2, 3, 3, 1, 4, 0, 4, 4, 1, 1, 1, 2, 1, 2, 0, 2, 3, 1, 3, 1, 0, 3, 0, 1, 3, 3, 1, 4, 2, 2, 2, 2, 3, 2, 2, 1, 2, 0, 1, 3, 2, 2, 0, 2, 1, 2, 0, 0, 4, 1, 3, 1, 2, 2, 3, 2, 0, 0, 2, 4, 4, 0, 2, 4, 1, 0, 2, 3, 2, 1, 2, 1, 3, 2, 4, 1, 3, 4, 4, 2, 2, 1, 3, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 4, 2, 3, 2, 1, 4, 4, 1, 4, 3, 1, 3, 3, 3, 1, 1, 0, 1, 3, 4, 0, 3, 3, 3, 0, 4, 3, 0, 3, 2, 1, 0, 2, 2, 2, 4, 3, 0, 2, 0, 2, 0, 3, 1, 3, 1, 2, 3, 1, 4, 1, 3, 3, 3, 1, 2, 1, 4, 3, 0, 2, 2, 1, 3, 2, 0, 2, 2, 2, 3, 1, 4, 4, 4, 0, 0, 3, 3, 0, 0, 3, 2, 2, 3, 4, 3, 2, 2, 4, 0, 3, 3, 2, 0, 2, 0, 4, 0, 4, 0, 0, 3, 1, 3, 1, 0, 3, 4, 3, 4, 0, 1, 4, 3, 0, 1, 2, 1, 4, 3, 4, 4, 3, 4, 2, 2, 2, 3, 4, 4, 0, 4, 1, 3, 4, 0, 4, 0, 2, 1, 2, 0, 3, 3, 1, 2, 3, 3, 1, 1, 0, 2, 3, 0, 3, 2, 0, 0, 2, 4, 1, 2, 0, 1, 4, 3, 2, 3, 0, 1, 0, 2, 4, 0, 3, 0, 4, 4, 4, 0, 2, 3, 1, 0, 0, 0, 4, 4, 2, 1, 3, 4, 2, 1, 2, 3, 2, 4, 4, 3, 3, 2, 3, 2, 0, 1, 3, 3, 4, 4, 3, 4, 4, 1, 1, 4, 4, 2, 2, 4, 2, 4, 4, 4, 3, 4, 2, 4, 2, 2, 3, 0, 3, 2, 1, 3, 0, 0, 4, 2, 0, 4, 3, 0, 2, 3, 4, 0, 0, 1, 4, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol1683 = [2, 4, 2, 4, 4, 2, 4, 0, 1, 3, 0, 0, 4, 2, 1, 0, 3, 0, 1, 2, 3, 4, 1, 3, 4, 1, 3, 1, 0, 0, 3, 1, 3, 3, 2, 4, 4, 3, 3, 0, 1, 0, 0, 3, 3, 3, 1, 4, 3, 1, 1, 1, 1, 3, 3, 0, 2, 0, 4, 1, 3, 4, 1, 2, 3, 1, 4, 1, 1, 1, 1, 0, 4, 2, 0, 2, 4, 0, 3, 2, 3, 0, 4, 4, 0, 3, 0, 1, 4, 3, 1, 0, 4, 1, 1, 0, 2, 2, 0, 1, 3, 2, 4, 3, 3, 1, 4, 1, 1, 4, 3, 2, 4, 2, 3, 0, 0, 0, 0, 0, 2, 3, 3, 4, 1, 3, 0, 0, 0, 2, 2, 3, 1, 1, 3, 0, 1, 2, 4, 1, 3, 0, 3, 1, 1, 0, 2, 0, 4, 1, 0, 4, 2, 4, 2, 1, 0, 3, 3, 4, 3, 0, 4, 2, 3, 1, 0, 0, 2, 2, 3, 3, 0, 1, 2, 1, 2, 0, 3, 1, 0, 1, 4, 4, 2, 0, 4, 4, 4, 2, 4, 2, 1, 0, 3, 1, 1, 4, 2, 2, 2, 0, 3, 0, 4, 3, 0, 3, 3, 1, 4, 2, 4, 4, 4, 3, 1, 1, 4, 4, 0, 4, 1, 3, 4, 2, 1, 0, 2, 3, 4, 1, 2, 0, 3, 3, 4, 0, 2, 4, 2, 2, 3, 0, 1, 4, 1, 4, 2, 2, 4, 3, 4, 1, 3, 0, 2, 0, 2, 1, 4, 3, 0, 0, 3, 0, 2, 0, 1, 2, 1, 2, 3, 4, 2, 0, 0, 4, 1, 1, 4, 1, 0, 4, 2, 2, 4, 2, 1, 3, 3, 4, 2, 2, 1, 0, 1, 1, 4, 3, 3, 2, 1, 4, 0, 0, 0, 0, 3, 2, 0, 0, 3, 3, 0, 4, 1, 0, 3, 3, 2, 3, 2, 3, 1, 0, 1, 3, 1, 2, 2, 2, 4, 4, 1, 4, 1, 0, 0, 4, 4, 0, 3, 1, 3, 0, 3, 3, 0, 4, 2, 0, 2, 4, 4, 1, 0, 3, 2, 4, 0, 0, 4, 1, 3, 3, 0, 4, 2, 0, 1, 3, 2, 2, 2, 2, 1, 1, 3, 3, 0, 2, 2, 0, 3, 1, 2, 1, 0, 4, 2, 4, 3, 0, 2, 1, 4, 1, 0, 4] pubkeycol1684 = [1, 3, 3, 4, 3, 4, 0, 1, 1, 2, 3, 0, 2, 3, 0, 0, 4, 4, 2, 2, 3, 4, 4, 1, 1, 1, 2, 3, 2, 3, 3, 4, 4, 0, 1, 0, 1, 3, 3, 3, 4, 2, 0, 3, 1, 3, 2, 3, 0, 1, 3, 4, 3, 4, 0, 4, 4, 1, 1, 4, 1, 3, 4, 0, 0, 2, 3, 1, 4, 0, 2, 0, 3, 2, 4, 0, 4, 1, 2, 2, 0, 3, 3, 2, 2, 4, 3, 0, 1, 0, 3, 4, 1, 0, 3, 2, 3, 4, 1, 0, 2, 0, 3, 3, 3, 3, 2, 3, 3, 2, 2, 0, 4, 3, 4, 2, 1, 1, 3, 4, 3, 0, 0, 3, 4, 2, 2, 3, 4, 1, 4, 3, 0, 2, 0, 4, 1, 1, 0, 3, 1, 4, 2, 0, 4, 1, 0, 4, 2, 4, 2, 3, 0, 1, 2, 4, 1, 3, 3, 4, 0, 0, 2, 4, 3, 1, 3, 1, 4, 0, 2, 4, 4, 1, 3, 4, 2, 1, 3, 2, 2, 1, 4, 3, 1, 0, 2, 1, 1, 3, 3, 0, 1, 0, 3, 3, 0, 2, 2, 4, 1, 4, 1, 0, 1, 1, 1, 0, 3, 0, 4, 4, 0, 2, 4, 1, 3, 3, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 3, 2, 4, 3, 4, 3, 0, 0, 4, 1, 1, 4, 4, 3, 4, 4, 1, 2, 1, 1, 0, 2, 0, 4, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 4, 1, 4, 4, 4, 4, 0, 4, 3, 1, 1, 3, 0, 1, 1, 2, 0, 1, 3, 0, 1, 0, 3, 1, 3, 1, 4, 4, 1, 4, 4, 3, 0, 4, 1, 0, 3, 2, 1, 4, 1, 2, 3, 1, 0, 3, 1, 3, 1, 1, 4, 2, 3, 2, 1, 0, 4, 3, 4, 3, 1, 3, 2, 2, 3, 2, 0, 1, 2, 3, 1, 4, 3, 2, 3, 0, 2, 2, 0, 1, 3, 4, 1, 1, 4, 2, 2, 3, 4, 1, 4, 1, 3, 3, 0, 2, 2, 0, 0, 1, 1, 4, 0, 4, 1, 2, 1, 1, 3, 3, 1, 2, 1, 2, 4, 0, 1, 3, 2, 1, 0, 0, 2, 2, 3, 0, 4, 4, 1, 1, 0, 4, 0, 2] pubkeycol1685 = [4, 0, 1, 2, 4, 4, 1, 2, 3, 2, 1, 4, 4, 2, 3, 4, 1, 3, 3, 2, 4, 1, 0, 4, 4, 1, 2, 4, 2, 3, 3, 2, 3, 0, 3, 2, 3, 4, 0, 0, 2, 1, 4, 0, 0, 4, 3, 4, 3, 2, 4, 2, 0, 0, 1, 4, 0, 4, 2, 4, 0, 3, 4, 4, 1, 2, 1, 1, 4, 4, 4, 2, 0, 4, 3, 3, 2, 1, 0, 1, 4, 1, 4, 2, 2, 2, 3, 2, 1, 3, 0, 3, 4, 0, 0, 0, 4, 3, 4, 3, 0, 0, 3, 0, 2, 2, 2, 4, 1, 0, 2, 3, 2, 1, 0, 0, 1, 3, 2, 2, 0, 4, 1, 3, 4, 2, 4, 0, 4, 3, 3, 2, 4, 3, 1, 3, 0, 0, 1, 1, 1, 0, 3, 0, 0, 1, 0, 4, 2, 3, 4, 2, 4, 0, 3, 1, 4, 3, 3, 1, 3, 3, 2, 1, 2, 3, 4, 2, 3, 0, 0, 0, 4, 0, 2, 3, 2, 4, 2, 2, 4, 3, 0, 4, 1, 4, 1, 1, 3, 4, 2, 3, 4, 3, 4, 1, 4, 1, 0, 4, 4, 4, 1, 1, 3, 4, 4, 4, 2, 4, 1, 1, 1, 4, 4, 2, 2, 4, 1, 0, 1, 2, 4, 0, 2, 3, 4, 0, 2, 0, 2, 1, 3, 4, 0, 4, 0, 3, 0, 0, 1, 3, 4, 3, 2, 0, 4, 1, 1, 4, 3, 3, 4, 1, 1, 2, 4, 1, 3, 1, 1, 1, 0, 3, 1, 1, 1, 3, 2, 2, 3, 4, 3, 3, 1, 4, 3, 4, 2, 0, 2, 1, 2, 3, 1, 4, 1, 2, 1, 2, 1, 3, 2, 0, 2, 4, 2, 0, 1, 3, 0, 0, 4, 2, 4, 0, 3, 1, 1, 4, 4, 1, 2, 2, 0, 2, 0, 0, 2, 4, 2, 4, 0, 3, 0, 1, 0, 4, 4, 1, 2, 1, 3, 1, 1, 0, 3, 1, 4, 2, 3, 0, 1, 1, 2, 2, 2, 4, 2, 4, 3, 3, 4, 4, 3, 0, 1, 1, 2, 1, 4, 2, 0, 1, 0, 4, 0, 0, 2, 2, 3, 2, 3, 2, 3, 4, 0, 3, 0, 1, 3, 2, 4, 2, 1, 1, 2, 3, 1, 3, 0, 3, 4, 3, 2, 1, 3, 1, 3, 3] pubkeycol1686 = [1, 2, 1, 3, 2, 2, 4, 3, 0, 4, 2, 2, 3, 1, 3, 4, 0, 0, 2, 2, 2, 0, 4, 2, 3, 3, 0, 3, 1, 3, 4, 3, 3, 2, 4, 0, 1, 1, 4, 2, 2, 3, 4, 4, 2, 0, 1, 1, 3, 0, 4, 2, 4, 2, 4, 3, 3, 1, 2, 3, 1, 2, 2, 0, 3, 3, 4, 2, 0, 1, 2, 1, 2, 0, 1, 1, 3, 3, 2, 1, 4, 0, 2, 2, 4, 2, 4, 4, 3, 4, 4, 0, 0, 1, 0, 4, 3, 4, 2, 0, 3, 4, 2, 2, 0, 2, 2, 2, 1, 2, 4, 0, 3, 3, 0, 3, 1, 2, 1, 2, 2, 1, 0, 4, 3, 1, 0, 1, 3, 3, 0, 4, 1, 4, 4, 0, 1, 0, 1, 4, 4, 4, 3, 4, 2, 1, 0, 4, 3, 2, 1, 3, 1, 3, 0, 1, 1, 1, 4, 3, 1, 4, 4, 3, 4, 1, 3, 3, 2, 4, 2, 4, 4, 2, 3, 3, 1, 1, 4, 4, 3, 1, 4, 1, 4, 0, 3, 2, 0, 0, 3, 3, 0, 2, 2, 1, 1, 1, 2, 4, 0, 0, 0, 4, 1, 2, 1, 0, 3, 4, 1, 0, 0, 2, 2, 1, 4, 1, 4, 4, 3, 3, 0, 3, 4, 4, 0, 4, 1, 4, 0, 4, 0, 3, 3, 0, 2, 0, 3, 2, 4, 3, 3, 4, 0, 3, 4, 0, 4, 3, 4, 2, 0, 1, 4, 3, 3, 4, 3, 0, 2, 1, 3, 4, 3, 4, 1, 1, 2, 2, 1, 4, 2, 3, 0, 1, 1, 0, 3, 0, 0, 2, 4, 2, 3, 1, 2, 2, 4, 4, 3, 2, 4, 3, 2, 4, 0, 4, 0, 3, 3, 1, 2, 1, 1, 1, 4, 0, 4, 1, 1, 4, 4, 0, 4, 2, 3, 4, 3, 0, 3, 4, 1, 4, 1, 2, 3, 1, 1, 1, 3, 4, 1, 2, 4, 0, 4, 0, 3, 1, 1, 2, 1, 1, 4, 4, 4, 1, 3, 4, 1, 1, 3, 4, 2, 0, 0, 2, 0, 2, 3, 0, 4, 2, 1, 1, 0, 3, 3, 0, 0, 2, 4, 3, 3, 4, 4, 4, 2, 3, 2, 4, 1, 3, 2, 0, 3, 1, 4, 1, 3, 4, 2, 0, 3, 1, 0, 2, 4, 3] pubkeycol1687 = [4, 0, 1, 1, 3, 1, 3, 0, 4, 2, 3, 0, 4, 0, 4, 3, 1, 2, 1, 4, 1, 2, 3, 3, 4, 2, 2, 2, 1, 4, 1, 1, 3, 2, 0, 0, 3, 0, 1, 0, 1, 4, 1, 0, 4, 0, 3, 0, 2, 1, 2, 0, 3, 3, 4, 4, 0, 4, 1, 4, 3, 4, 2, 0, 0, 0, 2, 2, 2, 0, 4, 2, 2, 4, 1, 1, 3, 1, 4, 4, 3, 1, 2, 1, 2, 4, 4, 2, 2, 2, 3, 4, 1, 3, 4, 0, 2, 2, 3, 1, 4, 4, 2, 4, 3, 2, 0, 1, 3, 0, 3, 3, 3, 3, 0, 1, 2, 1, 4, 4, 3, 0, 2, 0, 0, 4, 4, 1, 4, 1, 4, 0, 4, 1, 2, 3, 3, 0, 1, 1, 3, 0, 2, 0, 4, 0, 4, 3, 1, 3, 1, 2, 2, 0, 2, 0, 4, 4, 1, 2, 3, 1, 3, 0, 2, 4, 4, 2, 3, 1, 4, 4, 3, 2, 4, 4, 4, 3, 4, 3, 0, 0, 0, 1, 2, 3, 2, 0, 1, 4, 3, 3, 2, 1, 0, 0, 2, 3, 4, 2, 3, 0, 0, 0, 0, 3, 1, 4, 2, 2, 3, 0, 2, 2, 1, 0, 4, 1, 2, 0, 2, 0, 2, 4, 2, 1, 4, 0, 0, 4, 0, 0, 1, 3, 4, 4, 2, 4, 1, 1, 4, 3, 3, 0, 2, 1, 2, 4, 1, 3, 2, 4, 1, 1, 1, 1, 2, 0, 4, 1, 3, 2, 2, 3, 1, 0, 1, 3, 2, 3, 4, 1, 2, 4, 1, 3, 1, 1, 1, 1, 3, 0, 2, 1, 3, 4, 3, 3, 3, 1, 1, 0, 2, 4, 1, 3, 1, 4, 1, 0, 4, 0, 1, 0, 3, 2, 0, 1, 4, 0, 0, 2, 3, 1, 4, 0, 4, 2, 3, 3, 0, 1, 3, 3, 2, 2, 3, 4, 2, 2, 0, 2, 3, 3, 0, 1, 3, 0, 2, 3, 0, 2, 0, 4, 1, 3, 1, 3, 3, 3, 0, 0, 2, 3, 3, 3, 3, 3, 1, 4, 0, 3, 1, 3, 0, 2, 1, 2, 4, 1, 1, 1, 3, 0, 0, 2, 0, 1, 4, 4, 4, 2, 2, 2, 3, 0, 3, 4, 2, 1, 2, 4, 4, 2, 0, 3, 4, 4, 2, 4] pubkeycol1688 = [1, 1, 0, 2, 3, 1, 3, 0, 1, 2, 3, 0, 4, 2, 0, 2, 4, 2, 2, 0, 2, 3, 1, 2, 4, 3, 3, 3, 1, 0, 2, 3, 1, 2, 3, 1, 2, 3, 3, 4, 2, 2, 2, 3, 0, 3, 2, 3, 3, 1, 2, 1, 3, 0, 3, 1, 1, 1, 0, 0, 4, 3, 1, 4, 3, 3, 1, 4, 0, 1, 1, 4, 3, 1, 3, 3, 0, 0, 4, 2, 1, 0, 1, 0, 0, 3, 4, 4, 4, 3, 4, 1, 4, 1, 0, 2, 0, 2, 1, 3, 2, 2, 1, 0, 0, 3, 0, 1, 1, 3, 4, 0, 0, 4, 2, 1, 1, 2, 3, 3, 4, 0, 2, 1, 4, 2, 2, 1, 0, 2, 2, 2, 4, 2, 2, 4, 0, 4, 3, 0, 3, 2, 3, 0, 4, 4, 0, 0, 2, 2, 4, 2, 3, 1, 4, 3, 4, 0, 0, 2, 4, 0, 0, 3, 0, 1, 3, 3, 3, 1, 4, 3, 3, 1, 3, 4, 2, 3, 3, 2, 3, 1, 2, 2, 3, 3, 4, 3, 4, 3, 4, 0, 3, 1, 4, 3, 0, 4, 4, 3, 4, 1, 0, 3, 3, 0, 1, 0, 1, 2, 0, 1, 4, 0, 4, 1, 2, 2, 3, 2, 1, 1, 2, 2, 4, 0, 0, 3, 4, 1, 0, 4, 2, 1, 2, 2, 0, 1, 4, 0, 3, 2, 3, 3, 4, 3, 3, 0, 2, 4, 3, 0, 4, 4, 4, 1, 2, 4, 0, 3, 1, 3, 0, 3, 0, 1, 2, 4, 4, 3, 1, 2, 2, 1, 3, 0, 0, 2, 4, 1, 0, 1, 0, 2, 1, 3, 3, 2, 0, 3, 0, 0, 3, 2, 3, 3, 3, 1, 3, 4, 3, 2, 2, 0, 1, 3, 3, 3, 2, 0, 4, 3, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 3, 0, 0, 0, 3, 2, 3, 3, 2, 4, 2, 2, 2, 2, 4, 2, 0, 4, 3, 1, 0, 0, 3, 4, 0, 3, 1, 0, 1, 1, 0, 3, 0, 3, 3, 4, 1, 2, 3, 0, 2, 3, 1, 1, 0, 1, 4, 1, 1, 1, 4, 2, 3, 0, 2, 1, 0, 2, 3, 2, 0, 2, 1, 4, 3, 4, 4, 4, 2, 0, 0, 1, 3, 4, 1, 4, 3, 2] pubkeycol1689 = [4, 1, 3, 4, 3, 2, 2, 2, 0, 1, 1, 4, 1, 4, 0, 0, 2, 1, 3, 0, 2, 3, 0, 1, 3, 4, 0, 4, 4, 3, 1, 4, 1, 4, 2, 0, 4, 4, 1, 2, 3, 3, 2, 2, 0, 4, 3, 1, 0, 4, 3, 3, 2, 0, 4, 3, 2, 4, 3, 3, 0, 0, 2, 3, 2, 1, 3, 1, 0, 2, 4, 0, 4, 0, 1, 2, 4, 4, 1, 4, 0, 0, 4, 0, 3, 2, 3, 4, 3, 2, 3, 4, 3, 1, 1, 4, 3, 1, 4, 3, 1, 1, 3, 4, 4, 2, 2, 2, 4, 0, 4, 2, 2, 0, 4, 4, 2, 1, 3, 2, 0, 1, 3, 1, 2, 3, 3, 2, 0, 3, 1, 1, 3, 3, 1, 1, 2, 1, 1, 4, 3, 3, 1, 2, 4, 2, 3, 4, 3, 1, 4, 0, 0, 3, 0, 3, 3, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 3, 3, 1, 1, 1, 2, 4, 3, 1, 4, 2, 4, 2, 3, 2, 4, 2, 3, 2, 3, 0, 1, 0, 0, 0, 3, 3, 2, 0, 4, 4, 0, 3, 1, 4, 4, 4, 4, 2, 0, 3, 1, 4, 4, 0, 4, 3, 1, 1, 3, 3, 4, 2, 0, 0, 2, 2, 3, 3, 2, 4, 2, 3, 3, 3, 0, 3, 0, 1, 0, 3, 0, 1, 2, 3, 1, 1, 0, 0, 3, 4, 0, 4, 4, 0, 1, 0, 4, 4, 0, 0, 3, 4, 1, 4, 3, 2, 2, 4, 1, 1, 4, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 4, 4, 1, 0, 2, 3, 3, 2, 3, 2, 1, 3, 1, 4, 3, 1, 1, 3, 0, 0, 3, 4, 2, 1, 0, 2, 0, 3, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 4, 3, 2, 0, 3, 4, 0, 0, 0, 4, 2, 2, 4, 3, 3, 2, 3, 2, 1, 2, 1, 3, 1, 4, 2, 3, 1, 4, 0, 0, 3, 0, 2, 2, 1, 2, 3, 3, 0, 0, 0, 4, 0, 3, 0, 4, 2, 0, 0, 4, 4, 4, 4, 2, 1, 3, 2, 2, 0, 3, 0, 4, 1, 0, 0] pubkeycol1690 = [2, 2, 0, 2, 4, 4, 3, 2, 3, 4, 1, 4, 3, 0, 0, 1, 3, 2, 1, 1, 1, 0, 3, 2, 2, 0, 3, 1, 2, 4, 1, 0, 3, 3, 2, 4, 2, 2, 2, 0, 3, 0, 2, 4, 1, 4, 3, 3, 4, 1, 2, 0, 1, 0, 2, 1, 4, 4, 4, 1, 0, 1, 4, 2, 3, 3, 2, 1, 4, 4, 0, 3, 4, 4, 1, 0, 4, 0, 1, 3, 2, 0, 0, 0, 1, 1, 0, 4, 0, 0, 1, 3, 3, 2, 1, 4, 0, 4, 3, 3, 2, 4, 0, 3, 2, 2, 1, 1, 2, 2, 0, 3, 4, 1, 1, 4, 4, 0, 1, 4, 1, 1, 2, 3, 0, 1, 3, 4, 0, 2, 2, 3, 3, 3, 4, 3, 4, 0, 2, 4, 1, 3, 0, 3, 0, 3, 0, 2, 2, 4, 1, 3, 4, 3, 0, 0, 3, 0, 1, 0, 2, 0, 4, 0, 2, 3, 0, 2, 4, 1, 2, 4, 0, 4, 3, 2, 4, 2, 2, 1, 4, 2, 3, 3, 0, 0, 4, 1, 0, 4, 1, 1, 4, 3, 3, 3, 1, 0, 0, 0, 4, 3, 0, 4, 0, 1, 4, 0, 2, 2, 4, 3, 4, 4, 3, 1, 0, 3, 0, 1, 2, 4, 3, 3, 2, 3, 2, 3, 2, 1, 0, 0, 3, 2, 3, 0, 4, 3, 0, 4, 4, 4, 0, 1, 4, 1, 1, 3, 1, 2, 4, 0, 0, 0, 3, 1, 1, 2, 3, 0, 0, 2, 1, 3, 0, 2, 4, 1, 2, 0, 3, 1, 2, 3, 0, 0, 2, 2, 2, 2, 3, 1, 0, 1, 4, 4, 1, 1, 3, 0, 0, 2, 3, 4, 1, 4, 4, 1, 0, 2, 0, 1, 3, 4, 4, 3, 1, 2, 1, 4, 1, 2, 2, 4, 0, 2, 0, 1, 3, 4, 4, 4, 4, 3, 2, 0, 0, 4, 0, 1, 2, 2, 1, 4, 1, 3, 0, 2, 0, 3, 3, 0, 1, 0, 2, 2, 3, 2, 2, 0, 0, 2, 4, 3, 0, 0, 0, 2, 3, 2, 2, 0, 4, 2, 1, 1, 0, 3, 2, 2, 0, 1, 2, 2, 1, 1, 3, 2, 1, 2, 4, 3, 4, 1, 1, 3, 2, 2, 2, 3, 1, 3, 4, 1, 2, 0, 2, 1, 1, 1] pubkeycol1691 = [1, 2, 4, 1, 1, 0, 3, 4, 4, 1, 1, 3, 2, 2, 0, 1, 2, 0, 3, 2, 0, 3, 4, 1, 4, 4, 3, 0, 1, 3, 4, 0, 3, 0, 4, 4, 4, 1, 3, 3, 4, 1, 1, 0, 1, 1, 4, 2, 3, 0, 0, 1, 2, 1, 4, 2, 3, 1, 1, 1, 4, 3, 2, 3, 3, 1, 0, 4, 3, 1, 3, 3, 3, 0, 2, 3, 3, 4, 0, 1, 4, 0, 0, 2, 0, 0, 2, 4, 3, 0, 0, 4, 3, 2, 3, 1, 1, 0, 3, 3, 1, 4, 2, 0, 2, 3, 2, 4, 2, 4, 0, 0, 1, 0, 3, 4, 3, 2, 2, 2, 0, 1, 3, 2, 4, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 3, 1, 0, 3, 4, 2, 0, 2, 3, 3, 4, 0, 2, 0, 3, 4, 2, 3, 4, 3, 0, 1, 1, 3, 0, 3, 1, 4, 4, 3, 3, 2, 0, 1, 4, 1, 0, 1, 1, 1, 3, 4, 4, 4, 4, 2, 0, 4, 0, 2, 1, 2, 1, 1, 2, 2, 0, 3, 3, 1, 4, 1, 1, 4, 1, 4, 0, 2, 0, 1, 4, 2, 4, 1, 0, 0, 0, 4, 2, 1, 1, 0, 4, 2, 2, 1, 4, 3, 0, 2, 0, 1, 1, 4, 2, 1, 0, 3, 1, 3, 3, 4, 4, 3, 1, 3, 4, 2, 2, 3, 3, 4, 3, 4, 2, 0, 1, 3, 1, 3, 2, 3, 0, 3, 0, 3, 1, 1, 4, 2, 3, 2, 1, 4, 2, 3, 2, 3, 3, 4, 2, 4, 0, 1, 1, 2, 1, 1, 1, 4, 3, 2, 1, 4, 2, 3, 3, 4, 4, 3, 0, 2, 2, 4, 2, 0, 4, 2, 4, 0, 4, 0, 0, 4, 0, 1, 0, 1, 4, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 0, 1, 2, 0, 0, 1, 0, 4, 4, 0, 2, 3, 0, 0, 0, 2, 4, 4, 1, 1, 4, 4, 3, 0, 4, 2, 3, 1, 1, 1, 2, 4, 0, 0, 1, 1, 2, 4, 0, 2, 1, 3, 4, 0, 2, 3, 0, 0, 3, 2, 0, 2, 0, 0, 1, 3, 3, 1, 0, 4, 4, 3, 1, 4, 4, 0, 0, 1, 3, 1, 3, 1, 1, 4, 4, 4] pubkeycol1692 = [3, 2, 3, 4, 3, 1, 2, 1, 4, 0, 0, 0, 3, 3, 0, 1, 1, 1, 1, 4, 4, 3, 2, 2, 1, 3, 2, 4, 1, 3, 0, 1, 3, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 3, 3, 3, 3, 4, 0, 1, 0, 4, 4, 3, 1, 0, 4, 1, 1, 2, 2, 2, 0, 2, 3, 4, 1, 4, 2, 1, 2, 2, 3, 2, 0, 3, 4, 3, 4, 2, 1, 2, 1, 2, 3, 2, 1, 0, 1, 0, 0, 1, 2, 3, 2, 4, 0, 0, 2, 0, 4, 2, 2, 1, 4, 3, 2, 1, 1, 0, 3, 3, 2, 3, 4, 0, 3, 3, 1, 2, 0, 4, 3, 0, 0, 4, 0, 0, 1, 3, 1, 3, 0, 4, 4, 3, 3, 3, 1, 4, 3, 1, 0, 1, 2, 2, 1, 4, 3, 3, 2, 1, 1, 3, 4, 0, 2, 1, 1, 0, 4, 0, 4, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 4, 2, 1, 2, 1, 3, 4, 1, 4, 0, 2, 0, 1, 1, 0, 3, 0, 3, 4, 0, 4, 3, 3, 4, 3, 2, 0, 4, 4, 4, 1, 2, 4, 2, 2, 4, 2, 0, 2, 2, 1, 4, 4, 0, 4, 2, 1, 1, 4, 0, 2, 0, 4, 4, 0, 0, 0, 3, 2, 0, 3, 4, 4, 4, 0, 2, 0, 0, 4, 0, 0, 2, 2, 0, 0, 2, 0, 4, 4, 0, 3, 1, 2, 2, 3, 3, 0, 3, 1, 0, 0, 0, 3, 2, 3, 4, 3, 1, 0, 0, 1, 1, 2, 1, 0, 1, 3, 2, 1, 4, 0, 0, 4, 4, 3, 1, 1, 0, 4, 0, 3, 2, 2, 2, 1, 2, 4, 0, 3, 1, 2, 0, 0, 1, 2, 0, 3, 3, 2, 0, 3, 2, 3, 0, 0, 1, 3, 1, 3, 0, 3, 1, 0, 4, 1, 2, 0, 1, 1, 3, 2, 2, 3, 1, 4, 2, 2, 3, 3, 2, 4, 4, 0, 0, 1, 2, 4, 1, 0, 3, 2, 0, 1, 4, 1, 2, 4, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 3, 2, 4, 2, 4, 0, 2, 3, 4, 0, 3, 2, 2, 2, 3, 0, 0, 3, 4, 2, 3, 3, 2, 1, 2, 4, 1, 2, 2] pubkeycol1693 = [2, 2, 2, 2, 4, 2, 2, 3, 1, 4, 2, 0, 0, 1, 2, 0, 3, 1, 1, 3, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 4, 0, 1, 1, 1, 3, 0, 4, 2, 1, 1, 1, 1, 2, 3, 3, 1, 4, 0, 3, 2, 4, 2, 0, 1, 0, 2, 0, 4, 1, 3, 4, 3, 0, 2, 2, 4, 4, 1, 1, 1, 0, 2, 2, 3, 1, 3, 3, 0, 3, 3, 3, 2, 0, 1, 1, 4, 4, 1, 2, 2, 1, 2, 3, 1, 2, 4, 3, 4, 2, 0, 2, 2, 4, 4, 0, 2, 4, 4, 2, 2, 2, 4, 3, 1, 1, 0, 0, 0, 0, 3, 2, 0, 2, 1, 1, 2, 3, 1, 0, 2, 4, 0, 2, 3, 0, 0, 2, 0, 2, 4, 4, 1, 3, 0, 0, 0, 3, 0, 4, 4, 4, 2, 4, 3, 3, 1, 4, 2, 2, 2, 0, 1, 4, 0, 4, 3, 0, 0, 4, 1, 0, 4, 2, 3, 4, 1, 4, 0, 3, 3, 0, 4, 0, 1, 0, 4, 3, 3, 2, 2, 3, 1, 2, 3, 3, 2, 3, 4, 3, 4, 4, 2, 1, 4, 2, 0, 1, 0, 0, 2, 3, 4, 4, 4, 3, 1, 2, 2, 0, 0, 3, 0, 1, 3, 2, 2, 1, 4, 1, 0, 4, 4, 0, 0, 3, 3, 0, 0, 1, 4, 2, 1, 0, 1, 1, 2, 1, 1, 1, 3, 0, 4, 4, 2, 1, 4, 1, 0, 4, 3, 3, 1, 0, 3, 0, 2, 1, 2, 0, 3, 0, 3, 4, 1, 4, 1, 4, 0, 0, 2, 0, 4, 4, 0, 3, 3, 2, 4, 4, 4, 2, 1, 3, 2, 4, 2, 0, 0, 4, 3, 1, 3, 2, 1, 2, 2, 1, 3, 4, 4, 3, 4, 3, 3, 2, 2, 4, 4, 2, 0, 4, 0, 1, 0, 4, 4, 2, 3, 3, 4, 3, 1, 0, 2, 1, 2, 0, 4, 3, 1, 0, 2, 4, 0, 2, 3, 2, 4, 0, 1, 3, 3, 4, 2, 1, 0, 1, 0, 3, 3, 3, 0, 3, 1, 2, 2, 3, 1, 3, 3, 0, 4, 1, 2, 1, 4, 1, 4, 1, 4, 1, 0, 0, 1, 4, 1, 1, 2, 1, 1, 3, 1, 2, 4, 4] pubkeycol1694 = [2, 1, 0, 0, 1, 2, 4, 4, 3, 0, 0, 0, 1, 1, 2, 3, 0, 1, 0, 0, 0, 1, 3, 2, 1, 2, 2, 1, 1, 0, 4, 4, 2, 3, 1, 0, 1, 3, 1, 3, 1, 2, 2, 0, 2, 3, 1, 3, 3, 2, 4, 4, 2, 0, 3, 3, 2, 2, 1, 0, 3, 1, 0, 4, 0, 3, 2, 1, 2, 4, 1, 3, 2, 2, 2, 3, 0, 0, 0, 0, 0, 4, 0, 2, 1, 1, 4, 4, 0, 0, 4, 0, 2, 4, 2, 3, 0, 0, 4, 3, 4, 3, 1, 4, 2, 3, 0, 4, 3, 1, 1, 4, 4, 4, 3, 4, 0, 2, 3, 0, 1, 1, 0, 4, 2, 1, 0, 0, 0, 0, 4, 0, 2, 4, 2, 0, 1, 2, 4, 2, 2, 1, 4, 0, 0, 1, 0, 1, 1, 3, 1, 0, 1, 4, 0, 1, 3, 3, 3, 2, 3, 0, 1, 0, 4, 0, 3, 1, 1, 1, 4, 2, 2, 3, 4, 0, 1, 1, 4, 4, 0, 3, 2, 1, 1, 2, 4, 1, 2, 2, 0, 2, 0, 2, 4, 2, 0, 3, 1, 4, 3, 4, 4, 4, 0, 1, 3, 4, 2, 4, 2, 1, 3, 3, 3, 0, 4, 4, 2, 2, 1, 3, 3, 1, 2, 3, 0, 4, 1, 4, 2, 1, 1, 3, 4, 4, 0, 0, 4, 0, 3, 1, 2, 2, 2, 2, 0, 1, 2, 3, 3, 1, 2, 2, 3, 4, 1, 0, 0, 0, 2, 1, 0, 0, 2, 3, 0, 2, 1, 3, 4, 0, 4, 1, 3, 1, 2, 4, 3, 4, 1, 3, 2, 3, 3, 1, 0, 2, 0, 3, 0, 4, 4, 4, 1, 0, 4, 1, 2, 4, 4, 1, 3, 2, 0, 0, 4, 3, 4, 3, 4, 1, 0, 4, 0, 4, 1, 4, 3, 4, 1, 3, 3, 4, 2, 4, 2, 1, 1, 4, 1, 0, 0, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 0, 2, 2, 2, 4, 3, 0, 2, 2, 4, 0, 1, 2, 2, 4, 2, 1, 2, 3, 2, 2, 3, 0, 4, 3, 2, 4, 0, 4, 3, 1, 3, 3, 0, 0, 1, 3, 1, 4, 0, 4, 3, 3, 3, 0, 3, 2, 0, 3, 2, 1, 0, 3, 4, 1, 0, 1] pubkeycol1695 = [2, 4, 0, 3, 2, 4, 2, 3, 1, 0, 0, 3, 1, 2, 3, 1, 2, 2, 2, 0, 0, 3, 1, 3, 0, 3, 3, 3, 0, 4, 1, 1, 3, 2, 2, 3, 4, 0, 0, 3, 2, 2, 1, 1, 2, 0, 0, 1, 4, 3, 4, 3, 3, 1, 2, 0, 3, 2, 0, 2, 4, 0, 1, 1, 0, 4, 1, 0, 2, 4, 3, 4, 4, 4, 1, 4, 0, 1, 1, 3, 0, 2, 3, 3, 3, 1, 0, 4, 1, 3, 3, 3, 3, 0, 3, 3, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 3, 1, 2, 2, 4, 2, 0, 0, 1, 2, 4, 4, 0, 2, 4, 0, 2, 3, 3, 3, 0, 2, 2, 4, 0, 2, 3, 3, 0, 3, 3, 3, 4, 1, 1, 4, 0, 3, 2, 2, 0, 0, 3, 0, 2, 4, 3, 1, 0, 4, 0, 4, 4, 1, 1, 3, 4, 0, 2, 0, 2, 0, 4, 3, 1, 0, 4, 4, 1, 1, 2, 3, 2, 0, 4, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 1, 3, 0, 0, 2, 0, 3, 2, 3, 0, 1, 0, 0, 1, 2, 0, 0, 2, 4, 4, 1, 4, 3, 2, 0, 1, 3, 0, 0, 4, 4, 0, 1, 4, 2, 1, 0, 4, 0, 2, 1, 4, 3, 1, 4, 0, 1, 0, 3, 0, 3, 2, 1, 2, 4, 4, 0, 1, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 1, 0, 1, 0, 0, 4, 1, 0, 0, 2, 2, 2, 2, 4, 3, 2, 4, 1, 1, 1, 2, 2, 4, 1, 0, 4, 0, 3, 2, 2, 0, 4, 3, 1, 2, 1, 3, 4, 1, 4, 0, 0, 0, 2, 4, 4, 1, 4, 4, 4, 4, 4, 0, 4, 2, 2, 3, 3, 3, 4, 3, 2, 4, 0, 4, 1, 2, 0, 0, 0, 0, 3, 2, 0, 3, 4, 1, 4, 3, 4, 3, 1, 0, 3, 3, 2, 1, 1, 2, 4, 3, 1, 3, 1, 4, 2, 1, 4, 4, 0, 2, 0, 2, 3, 0, 2, 1, 2, 0, 2, 4, 2, 4, 2, 0, 4, 3, 3, 1, 4, 2, 2, 4, 4, 0, 2, 1, 2, 4, 4, 3, 3, 1, 1, 1] pubkeycol1696 = [0, 1, 3, 3, 1, 4, 2, 3, 3, 2, 3, 3, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 4, 3, 2, 4, 2, 3, 0, 1, 3, 2, 1, 4, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 3, 2, 0, 0, 3, 4, 1, 4, 4, 2, 3, 0, 1, 2, 1, 0, 2, 2, 0, 4, 0, 4, 2, 0, 4, 2, 3, 0, 4, 2, 4, 2, 3, 3, 4, 3, 1, 1, 3, 1, 2, 0, 0, 3, 2, 2, 3, 2, 1, 3, 4, 1, 0, 3, 2, 3, 2, 3, 1, 4, 4, 2, 4, 2, 0, 2, 1, 0, 1, 3, 2, 2, 0, 2, 4, 1, 0, 1, 2, 0, 1, 2, 0, 3, 2, 4, 2, 0, 1, 2, 1, 0, 3, 4, 2, 0, 3, 0, 1, 2, 4, 1, 1, 3, 2, 3, 4, 1, 4, 3, 1, 2, 2, 0, 4, 4, 3, 3, 0, 4, 3, 2, 0, 2, 2, 3, 3, 4, 4, 0, 0, 0, 1, 2, 3, 3, 0, 2, 1, 3, 2, 4, 3, 4, 4, 1, 4, 3, 0, 3, 4, 0, 4, 1, 2, 2, 2, 2, 3, 0, 1, 3, 0, 1, 0, 0, 3, 1, 3, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 4, 2, 1, 1, 0, 4, 1, 0, 1, 0, 2, 2, 0, 2, 4, 2, 4, 1, 4, 2, 2, 4, 2, 3, 3, 3, 1, 0, 1, 0, 4, 1, 1, 3, 0, 1, 3, 3, 3, 3, 4, 3, 0, 1, 0, 3, 3, 3, 4, 4, 3, 3, 3, 3, 1, 3, 4, 2, 1, 2, 2, 4, 1, 0, 0, 4, 0, 4, 2, 3, 0, 0, 2, 4, 1, 1, 0, 1, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 2, 0, 0, 1, 2, 1, 0, 1, 4, 1, 3, 2, 4, 3, 0, 1, 2, 4, 3, 2, 2, 2, 0, 0, 4, 0, 1, 4, 2, 4, 0, 0, 4, 3, 4, 0, 4, 1, 0, 1, 4, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 3, 0, 0, 1, 0, 0, 2, 2, 4, 2, 0, 4, 4, 4, 1, 0, 4, 0, 4, 1, 3, 2, 2, 3, 0, 2, 0] pubkeycol1697 = [4, 3, 1, 3, 2, 0, 0, 2, 1, 0, 2, 1, 3, 1, 0, 0, 0, 4, 0, 4, 2, 1, 2, 4, 1, 4, 1, 1, 4, 0, 4, 0, 1, 1, 1, 1, 1, 4, 1, 4, 2, 2, 1, 3, 1, 3, 1, 2, 3, 2, 3, 3, 3, 0, 0, 3, 3, 2, 0, 0, 3, 3, 3, 3, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 0, 2, 2, 3, 0, 0, 0, 4, 0, 4, 4, 3, 3, 2, 3, 4, 1, 0, 4, 2, 1, 3, 4, 1, 3, 0, 0, 4, 3, 2, 2, 0, 0, 3, 0, 4, 0, 3, 3, 4, 3, 2, 1, 4, 4, 2, 4, 1, 1, 2, 3, 2, 0, 0, 0, 2, 1, 1, 3, 3, 2, 4, 2, 0, 4, 2, 3, 4, 2, 4, 4, 0, 0, 3, 0, 3, 4, 3, 4, 2, 2, 2, 2, 1, 1, 1, 0, 1, 4, 3, 4, 0, 0, 2, 2, 3, 3, 0, 2, 4, 4, 2, 2, 1, 0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 0, 3, 3, 2, 3, 3, 4, 3, 0, 0, 3, 2, 0, 2, 4, 2, 3, 3, 0, 1, 2, 3, 4, 2, 4, 2, 2, 1, 0, 3, 3, 3, 0, 3, 0, 4, 4, 4, 4, 1, 3, 1, 3, 2, 0, 4, 2, 1, 1, 3, 2, 4, 4, 4, 2, 3, 3, 3, 1, 0, 3, 0, 2, 3, 0, 1, 4, 2, 4, 2, 3, 4, 3, 4, 2, 4, 0, 4, 1, 1, 1, 2, 4, 4, 1, 2, 0, 1, 4, 2, 0, 1, 2, 3, 1, 1, 3, 0, 4, 2, 3, 2, 4, 2, 1, 2, 4, 2, 0, 0, 3, 2, 0, 4, 2, 2, 3, 0, 3, 0, 3, 4, 4, 0, 2, 0, 4, 4, 3, 2, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 4, 2, 2, 1, 3, 4, 3, 1, 0, 4, 4, 1, 2, 2, 1, 4, 1, 0, 4, 3, 4, 3, 3, 1, 4, 0, 1, 1, 0, 4, 0, 1, 2, 1, 1, 3, 2, 3, 4, 3, 4, 2, 2, 3, 0, 0, 3, 3, 1, 3, 3, 1, 1, 0, 1, 4, 0, 1, 1, 4, 3, 3, 3, 3, 0, 2, 4, 0, 0, 0, 0] pubkeycol1698 = [0, 2, 3, 4, 0, 3, 1, 2, 1, 1, 1, 4, 1, 4, 0, 0, 1, 2, 0, 3, 3, 4, 2, 2, 4, 0, 4, 3, 1, 2, 0, 4, 0, 2, 4, 1, 1, 4, 0, 3, 3, 0, 1, 0, 2, 2, 1, 0, 4, 0, 4, 1, 4, 4, 0, 4, 4, 1, 1, 0, 2, 1, 0, 2, 2, 3, 4, 1, 0, 1, 4, 4, 4, 3, 3, 4, 1, 3, 2, 1, 4, 4, 4, 2, 2, 2, 4, 4, 2, 4, 2, 4, 4, 3, 0, 1, 2, 4, 4, 4, 0, 2, 3, 4, 2, 0, 2, 4, 0, 4, 0, 3, 2, 0, 4, 2, 1, 2, 4, 0, 3, 4, 0, 3, 1, 1, 4, 2, 1, 1, 3, 4, 3, 1, 3, 4, 2, 4, 3, 4, 0, 1, 1, 4, 3, 0, 4, 0, 1, 2, 0, 4, 4, 3, 2, 0, 3, 1, 3, 2, 4, 1, 1, 1, 0, 2, 0, 4, 4, 3, 3, 0, 1, 0, 4, 3, 0, 4, 2, 3, 1, 1, 1, 3, 3, 1, 1, 1, 4, 0, 2, 1, 3, 1, 1, 1, 0, 1, 0, 1, 2, 3, 2, 1, 2, 0, 1, 4, 2, 0, 2, 3, 1, 2, 3, 0, 4, 3, 1, 1, 4, 3, 0, 4, 0, 3, 3, 1, 0, 3, 2, 4, 0, 2, 1, 2, 0, 2, 1, 3, 1, 4, 1, 0, 0, 4, 1, 3, 2, 1, 3, 4, 2, 4, 1, 0, 1, 3, 0, 2, 1, 4, 3, 2, 1, 3, 2, 2, 0, 0, 1, 3, 2, 4, 3, 1, 2, 0, 1, 2, 1, 1, 3, 0, 4, 4, 3, 2, 2, 0, 4, 0, 2, 1, 3, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 1, 4, 1, 0, 0, 4, 0, 3, 3, 0, 2, 3, 0, 4, 0, 1, 4, 4, 3, 3, 4, 2, 1, 4, 0, 3, 4, 1, 0, 4, 0, 3, 3, 0, 0, 3, 1, 0, 2, 3, 4, 2, 1, 2, 1, 1, 0, 1, 3, 1, 4, 0, 4, 3, 0, 3, 3, 1, 3, 2, 2, 0, 2, 4, 1, 3, 3, 4, 3, 0, 4, 3, 4, 0, 2, 4, 1, 3, 1, 0, 0, 4, 1, 1, 0, 4, 1, 1, 0, 3, 0, 3] pubkeycol1699 = [0, 1, 0, 0, 4, 1, 3, 3, 4, 3, 2, 2, 2, 0, 1, 2, 3, 1, 3, 1, 3, 2, 1, 1, 4, 2, 3, 0, 1, 0, 0, 4, 0, 0, 1, 3, 2, 0, 4, 4, 1, 0, 3, 3, 2, 2, 0, 0, 3, 2, 2, 0, 3, 0, 2, 4, 2, 3, 3, 0, 1, 4, 2, 3, 0, 1, 2, 4, 0, 1, 4, 1, 4, 4, 3, 2, 4, 4, 3, 1, 1, 1, 2, 0, 1, 3, 0, 4, 1, 4, 0, 3, 3, 3, 4, 0, 0, 3, 2, 2, 1, 3, 0, 2, 1, 4, 4, 3, 4, 2, 4, 3, 3, 4, 3, 4, 3, 1, 1, 1, 4, 2, 0, 4, 0, 3, 4, 1, 2, 2, 3, 1, 0, 3, 2, 3, 4, 4, 0, 1, 1, 2, 0, 1, 2, 4, 1, 2, 2, 0, 2, 2, 3, 3, 1, 1, 2, 4, 3, 3, 4, 0, 0, 2, 4, 4, 1, 4, 0, 0, 3, 4, 1, 2, 0, 4, 2, 0, 2, 3, 0, 2, 2, 3, 0, 1, 0, 2, 4, 0, 4, 1, 1, 1, 2, 0, 2, 1, 0, 4, 3, 4, 2, 0, 0, 1, 2, 0, 2, 2, 2, 4, 1, 3, 1, 2, 3, 4, 1, 1, 4, 4, 1, 1, 4, 1, 2, 0, 0, 2, 2, 3, 4, 2, 0, 1, 3, 3, 4, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 4, 3, 3, 4, 0, 1, 2, 4, 2, 1, 3, 2, 1, 0, 0, 0, 1, 0, 3, 0, 0, 3, 2, 4, 2, 4, 4, 2, 4, 3, 0, 2, 3, 1, 3, 2, 0, 1, 0, 1, 3, 0, 1, 1, 0, 0, 0, 3, 2, 0, 4, 3, 2, 3, 2, 4, 0, 4, 4, 1, 4, 3, 0, 2, 4, 2, 4, 0, 0, 3, 3, 1, 1, 4, 2, 3, 4, 2, 3, 4, 4, 2, 3, 3, 0, 2, 0, 3, 4, 2, 1, 0, 4, 1, 2, 2, 0, 3, 4, 0, 1, 3, 3, 0, 4, 2, 2, 0, 0, 4, 0, 2, 0, 0, 1, 4, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 2, 1, 4, 1, 4, 0, 1, 0, 1, 3, 0, 1, 3, 0, 4, 1, 3, 1, 2, 4, 2, 0, 1, 2, 0] pubkeycol1700 = [2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 4, 2, 1, 4, 3, 2, 1, 2, 1, 2, 4, 1, 0, 2, 1, 1, 4, 1, 3, 3, 4, 2, 3, 1, 3, 0, 4, 1, 2, 1, 4, 2, 2, 4, 3, 4, 0, 1, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 2, 1, 0, 0, 4, 1, 3, 0, 0, 4, 2, 2, 0, 2, 2, 3, 1, 1, 0, 3, 3, 1, 2, 4, 3, 2, 0, 1, 4, 2, 2, 2, 3, 3, 4, 2, 2, 0, 4, 0, 1, 4, 1, 1, 2, 1, 3, 3, 2, 3, 1, 0, 3, 4, 3, 4, 4, 4, 4, 4, 0, 3, 4, 2, 3, 0, 2, 3, 0, 2, 0, 4, 3, 3, 4, 2, 1, 4, 1, 2, 2, 0, 2, 0, 4, 3, 3, 2, 4, 3, 2, 0, 3, 2, 3, 1, 1, 0, 0, 2, 3, 1, 2, 0, 1, 1, 4, 3, 0, 3, 0, 0, 4, 0, 1, 2, 4, 2, 1, 4, 4, 3, 4, 2, 1, 0, 3, 3, 1, 3, 1, 3, 1, 2, 0, 0, 2, 4, 4, 0, 2, 1, 2, 4, 0, 3, 2, 1, 1, 1, 4, 3, 0, 1, 4, 3, 1, 3, 2, 4, 0, 1, 0, 1, 0, 1, 0, 4, 2, 2, 0, 3, 2, 0, 3, 4, 4, 0, 0, 1, 2, 4, 0, 2, 2, 3, 4, 3, 3, 1, 1, 2, 4, 0, 4, 1, 4, 1, 4, 1, 4, 3, 2, 4, 1, 1, 1, 1, 1, 0, 2, 1, 3, 3, 4, 3, 0, 2, 4, 1, 0, 2, 1, 1, 1, 1, 3, 2, 3, 1, 2, 4, 1, 0, 2, 3, 1, 3, 4, 0, 1, 4, 0, 3, 4, 1, 3, 2, 2, 2, 1, 3, 2, 4, 3, 4, 4, 2, 1, 0, 1, 0, 2, 3, 3, 0, 0, 0, 1, 1, 3, 1, 4, 4, 3, 4, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 0, 1, 4, 4, 4, 3, 4, 0, 3, 2, 1, 1, 4, 2, 3, 0, 2, 1, 4, 3, 3, 1, 1, 2, 0, 2, 3, 1, 2, 4, 1, 4, 3, 0, 3, 2, 0, 2, 3, 2, 0, 3, 1, 4, 3, 0, 4, 4, 4, 1, 4, 1, 3, 4, 0, 0] pubkeycol1701 = [2, 3, 2, 1, 4, 2, 2, 2, 3, 3, 3, 2, 0, 3, 1, 0, 1, 0, 4, 1, 2, 3, 3, 0, 3, 4, 1, 3, 1, 4, 2, 1, 4, 2, 4, 1, 0, 4, 2, 3, 0, 4, 4, 2, 3, 0, 0, 3, 0, 0, 1, 1, 3, 3, 4, 2, 2, 4, 3, 0, 1, 4, 4, 1, 2, 3, 2, 3, 2, 4, 2, 1, 2, 4, 0, 1, 2, 1, 3, 3, 1, 1, 0, 3, 0, 0, 0, 0, 4, 3, 3, 1, 1, 2, 2, 2, 4, 0, 4, 0, 2, 1, 4, 0, 2, 4, 1, 2, 4, 1, 2, 2, 3, 4, 1, 0, 3, 2, 1, 1, 2, 3, 1, 4, 2, 2, 4, 2, 3, 4, 2, 3, 4, 1, 1, 3, 1, 1, 1, 0, 1, 3, 2, 4, 1, 0, 4, 2, 0, 1, 0, 3, 4, 3, 3, 0, 4, 1, 3, 4, 4, 1, 2, 2, 2, 3, 2, 0, 1, 0, 1, 2, 4, 2, 3, 1, 4, 1, 0, 4, 2, 4, 3, 0, 3, 3, 1, 0, 0, 1, 1, 4, 2, 2, 1, 1, 2, 0, 3, 4, 2, 3, 2, 2, 4, 0, 0, 4, 1, 2, 4, 0, 3, 3, 0, 2, 2, 3, 4, 4, 4, 1, 4, 2, 4, 4, 1, 2, 1, 0, 0, 4, 3, 0, 2, 3, 1, 0, 0, 4, 0, 2, 0, 1, 0, 2, 4, 3, 4, 1, 0, 0, 0, 4, 2, 4, 0, 3, 3, 2, 3, 1, 3, 0, 2, 1, 2, 3, 4, 2, 1, 2, 2, 2, 4, 0, 1, 4, 1, 1, 0, 4, 0, 0, 1, 0, 1, 3, 4, 2, 4, 0, 3, 2, 1, 2, 1, 3, 0, 4, 1, 1, 0, 0, 4, 4, 2, 1, 3, 3, 0, 3, 4, 0, 1, 3, 1, 1, 4, 3, 4, 0, 2, 4, 3, 3, 3, 3, 1, 1, 4, 1, 2, 2, 4, 1, 3, 0, 4, 2, 0, 2, 0, 1, 4, 2, 3, 2, 2, 3, 3, 4, 1, 1, 0, 0, 0, 2, 1, 2, 1, 4, 4, 4, 1, 4, 4, 1, 3, 0, 1, 1, 2, 3, 2, 0, 4, 2, 0, 2, 4, 0, 3, 4, 0, 2, 2, 0, 2, 4, 0, 2, 4, 2, 0, 2, 0, 4, 3, 3] pubkeycol1702 = [4, 3, 0, 3, 3, 2, 0, 0, 2, 4, 4, 3, 0, 4, 0, 0, 1, 1, 4, 0, 2, 0, 3, 1, 1, 0, 4, 3, 3, 1, 4, 3, 1, 1, 2, 0, 2, 2, 1, 2, 1, 3, 2, 4, 1, 2, 2, 0, 4, 1, 3, 2, 0, 0, 2, 1, 3, 2, 2, 1, 4, 4, 2, 2, 3, 1, 3, 4, 0, 2, 4, 0, 4, 4, 3, 1, 3, 3, 1, 2, 1, 3, 2, 1, 1, 0, 3, 4, 3, 1, 4, 3, 0, 1, 0, 4, 1, 2, 0, 1, 3, 0, 2, 3, 4, 2, 0, 1, 1, 4, 1, 0, 4, 1, 4, 3, 4, 0, 3, 1, 4, 3, 1, 0, 4, 0, 0, 4, 4, 2, 3, 4, 4, 4, 1, 2, 1, 2, 4, 1, 4, 4, 4, 1, 3, 2, 2, 3, 2, 2, 3, 3, 0, 2, 0, 4, 2, 4, 3, 2, 0, 0, 3, 4, 1, 1, 2, 2, 4, 4, 1, 2, 0, 0, 0, 1, 0, 1, 4, 1, 3, 0, 0, 1, 0, 0, 1, 2, 3, 2, 4, 2, 4, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 4, 0, 1, 0, 0, 1, 2, 1, 4, 0, 3, 0, 0, 1, 2, 3, 0, 1, 1, 2, 2, 4, 1, 3, 4, 0, 4, 1, 1, 3, 4, 1, 1, 4, 0, 0, 3, 0, 3, 4, 1, 3, 1, 1, 3, 2, 3, 1, 2, 0, 0, 3, 3, 1, 0, 4, 4, 2, 1, 4, 2, 4, 2, 1, 2, 0, 1, 1, 4, 0, 2, 2, 4, 1, 0, 1, 1, 0, 3, 4, 1, 4, 1, 2, 4, 4, 3, 1, 3, 2, 0, 0, 3, 4, 4, 1, 3, 4, 2, 4, 3, 2, 3, 2, 0, 1, 3, 4, 0, 0, 3, 1, 0, 2, 4, 0, 4, 3, 2, 3, 1, 3, 0, 0, 2, 4, 1, 4, 1, 2, 0, 0, 1, 0, 2, 4, 3, 3, 3, 2, 4, 2, 3, 2, 2, 2, 4, 3, 2, 1, 1, 0, 4, 2, 4, 0, 3, 0, 0, 3, 1, 1, 1, 2, 3, 3, 1, 0, 3, 3, 3, 2, 0, 3, 2, 2, 3, 0, 2, 4, 1, 0, 0, 4, 2, 4, 1, 0, 0, 1, 1, 2, 3, 4, 0, 1, 1] pubkeycol1703 = [0, 0, 3, 0, 0, 3, 0, 2, 0, 1, 3, 4, 2, 3, 2, 2, 3, 0, 2, 4, 1, 2, 4, 0, 3, 0, 2, 2, 4, 4, 1, 1, 2, 4, 3, 3, 2, 0, 4, 3, 0, 4, 2, 3, 3, 0, 3, 2, 4, 1, 1, 4, 2, 3, 1, 1, 3, 3, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 3, 1, 0, 0, 4, 2, 0, 4, 4, 2, 4, 1, 3, 2, 1, 2, 1, 3, 3, 1, 1, 3, 4, 4, 4, 0, 3, 4, 2, 0, 1, 1, 0, 0, 2, 1, 4, 4, 2, 0, 3, 0, 0, 4, 3, 3, 1, 1, 3, 0, 4, 3, 4, 1, 4, 3, 4, 4, 4, 0, 4, 4, 0, 3, 0, 2, 4, 1, 1, 3, 2, 4, 1, 0, 3, 4, 4, 4, 2, 0, 1, 0, 3, 4, 1, 4, 0, 0, 3, 2, 3, 1, 4, 0, 4, 2, 0, 4, 2, 0, 0, 1, 3, 2, 4, 0, 4, 1, 3, 2, 2, 3, 3, 2, 1, 3, 2, 3, 2, 0, 0, 0, 4, 1, 1, 1, 2, 2, 4, 2, 2, 0, 4, 3, 0, 4, 1, 2, 1, 4, 1, 3, 0, 4, 1, 4, 0, 1, 3, 4, 2, 3, 0, 1, 3, 3, 3, 2, 4, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 4, 3, 4, 3, 3, 3, 1, 4, 2, 2, 3, 3, 4, 1, 4, 4, 3, 4, 3, 0, 3, 4, 3, 3, 2, 3, 4, 1, 4, 0, 1, 1, 4, 3, 4, 1, 1, 2, 4, 3, 0, 1, 1, 1, 2, 3, 4, 2, 0, 1, 0, 3, 3, 1, 2, 3, 1, 3, 4, 0, 0, 1, 2, 1, 1, 4, 3, 3, 4, 2, 3, 3, 4, 1, 1, 3, 1, 4, 3, 4, 2, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 4, 0, 4, 4, 2, 0, 2, 3, 0, 3, 2, 3, 4, 3, 2, 3, 0, 3, 4, 1, 4, 2, 1, 2, 1, 3, 2, 1, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 4, 3, 4, 2, 4, 4, 2, 0, 0, 0, 1, 0, 0, 2, 2, 3, 3, 0, 4, 4, 1, 4, 4, 2, 4, 1, 2, 0] pubkeycol1704 = [4, 4, 0, 2, 3, 3, 4, 0, 1, 2, 0, 0, 2, 3, 2, 1, 0, 3, 0, 0, 3, 4, 2, 1, 1, 0, 1, 2, 2, 2, 3, 4, 3, 3, 3, 3, 2, 4, 1, 1, 4, 2, 3, 3, 1, 2, 2, 0, 2, 3, 3, 1, 1, 1, 0, 4, 4, 0, 1, 2, 3, 3, 1, 3, 1, 2, 4, 4, 4, 0, 0, 0, 2, 1, 4, 1, 1, 0, 2, 0, 2, 1, 0, 1, 4, 4, 4, 2, 3, 4, 3, 4, 2, 0, 0, 0, 4, 2, 4, 2, 3, 0, 3, 2, 4, 0, 3, 3, 1, 1, 2, 1, 1, 3, 4, 4, 3, 2, 0, 2, 0, 3, 0, 1, 1, 2, 3, 3, 4, 2, 1, 3, 0, 0, 4, 0, 0, 4, 4, 4, 0, 1, 1, 4, 4, 3, 1, 3, 3, 3, 2, 3, 0, 3, 4, 4, 0, 1, 2, 1, 1, 1, 1, 4, 1, 0, 2, 4, 3, 1, 4, 3, 4, 2, 1, 0, 4, 0, 1, 4, 4, 0, 1, 1, 3, 0, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 4, 0, 1, 3, 0, 4, 3, 0, 3, 4, 4, 2, 1, 4, 3, 3, 1, 1, 3, 4, 0, 2, 3, 2, 0, 2, 2, 4, 2, 1, 3, 2, 3, 4, 0, 3, 0, 4, 3, 0, 3, 0, 2, 4, 1, 0, 4, 4, 0, 3, 1, 2, 4, 0, 1, 0, 0, 2, 1, 1, 4, 4, 1, 0, 4, 0, 4, 2, 2, 4, 3, 4, 3, 0, 3, 4, 1, 2, 1, 4, 0, 4, 0, 2, 3, 4, 0, 2, 1, 3, 2, 2, 4, 3, 3, 1, 4, 4, 1, 3, 4, 3, 0, 3, 0, 4, 1, 3, 4, 4, 4, 1, 0, 4, 3, 3, 3, 4, 0, 0, 4, 4, 2, 4, 1, 1, 2, 0, 2, 3, 4, 0, 0, 3, 3, 0, 4, 1, 0, 1, 0, 4, 4, 4, 1, 4, 3, 4, 2, 2, 4, 2, 2, 2, 1, 1, 0, 1, 0, 4, 2, 3, 0, 0, 3, 2, 2, 0, 4, 1, 4, 2, 0, 2, 4, 0, 4, 3, 2, 2, 0, 3, 2, 0, 2, 0, 1, 0, 4, 4, 3, 3, 0, 1, 2, 2, 1, 2, 2, 3, 4, 2, 0, 2] pubkeycol1705 = [3, 0, 3, 1, 4, 4, 4, 0, 0, 3, 1, 3, 2, 1, 2, 0, 1, 4, 4, 0, 2, 1, 3, 4, 4, 4, 4, 3, 4, 0, 1, 1, 2, 4, 1, 4, 0, 0, 1, 4, 2, 3, 2, 2, 0, 0, 4, 4, 1, 3, 1, 3, 1, 3, 0, 4, 0, 0, 1, 4, 2, 3, 2, 4, 0, 1, 0, 0, 4, 3, 1, 3, 0, 4, 2, 1, 1, 1, 4, 2, 2, 0, 3, 4, 0, 2, 1, 2, 3, 3, 2, 1, 2, 3, 0, 1, 2, 3, 4, 4, 3, 4, 3, 3, 2, 3, 2, 3, 1, 0, 3, 1, 1, 1, 3, 4, 1, 1, 4, 2, 2, 3, 4, 4, 2, 0, 3, 1, 4, 3, 2, 1, 0, 1, 2, 2, 3, 4, 1, 3, 2, 1, 1, 1, 2, 1, 4, 0, 3, 1, 4, 3, 3, 1, 2, 2, 3, 4, 0, 4, 0, 1, 0, 0, 0, 3, 0, 1, 3, 3, 4, 3, 2, 1, 2, 1, 1, 2, 1, 2, 1, 4, 0, 0, 1, 2, 2, 3, 3, 3, 2, 1, 3, 2, 2, 0, 3, 2, 1, 2, 4, 2, 4, 0, 3, 2, 3, 3, 4, 2, 0, 2, 2, 2, 3, 2, 2, 3, 4, 4, 0, 4, 2, 4, 0, 1, 4, 0, 0, 1, 3, 3, 0, 4, 3, 1, 4, 1, 2, 0, 2, 4, 1, 3, 0, 1, 2, 2, 0, 4, 3, 2, 2, 4, 3, 1, 3, 4, 0, 0, 4, 4, 1, 2, 0, 2, 2, 4, 3, 2, 3, 4, 0, 1, 3, 1, 1, 2, 4, 3, 2, 1, 3, 0, 2, 4, 2, 0, 4, 1, 4, 0, 3, 1, 2, 4, 4, 2, 4, 0, 3, 1, 3, 4, 4, 2, 0, 2, 2, 4, 0, 4, 0, 4, 2, 3, 1, 1, 0, 2, 2, 0, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 3, 0, 1, 3, 0, 1, 3, 4, 2, 4, 2, 3, 4, 0, 0, 4, 0, 0, 0, 1, 0, 4, 2, 0, 2, 0, 4, 2, 1, 3, 0, 2, 2, 3, 2, 4, 4, 4, 4, 4, 3, 0, 1, 1, 3, 1, 0, 1, 1, 0, 1, 1, 1, 2, 4, 4, 3, 3, 0, 3, 4, 2, 0, 2, 3, 4, 4] pubkeycol1706 = [3, 0, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 0, 4, 0, 1, 2, 2, 4, 2, 4, 3, 0, 4, 2, 0, 4, 4, 2, 1, 0, 2, 3, 4, 1, 1, 0, 0, 4, 0, 0, 0, 3, 4, 3, 2, 4, 4, 0, 4, 1, 1, 0, 2, 2, 2, 0, 2, 0, 3, 0, 0, 0, 3, 1, 4, 4, 1, 2, 4, 0, 0, 1, 4, 3, 4, 2, 3, 2, 1, 3, 0, 2, 4, 0, 0, 1, 0, 0, 3, 1, 2, 4, 4, 2, 4, 1, 2, 4, 0, 2, 1, 2, 0, 0, 1, 4, 2, 4, 0, 0, 1, 1, 4, 0, 1, 2, 2, 0, 4, 1, 0, 1, 2, 4, 0, 0, 4, 3, 3, 4, 1, 3, 0, 3, 4, 2, 1, 1, 4, 1, 4, 1, 4, 2, 2, 4, 4, 2, 0, 1, 4, 1, 1, 4, 1, 3, 2, 4, 1, 3, 0, 0, 1, 0, 3, 3, 4, 3, 4, 1, 4, 3, 1, 3, 4, 2, 3, 0, 4, 0, 3, 4, 2, 0, 2, 2, 3, 3, 3, 3, 2, 1, 0, 1, 2, 3, 0, 1, 1, 3, 0, 2, 2, 3, 2, 1, 3, 4, 0, 1, 3, 0, 0, 0, 0, 3, 1, 2, 2, 1, 2, 1, 1, 1, 1, 3, 4, 4, 4, 1, 3, 0, 1, 1, 2, 0, 3, 4, 0, 3, 1, 0, 2, 2, 0, 4, 1, 1, 4, 4, 1, 4, 2, 0, 1, 0, 4, 3, 3, 1, 2, 1, 4, 3, 0, 3, 1, 3, 0, 3, 3, 4, 1, 4, 0, 2, 1, 1, 4, 3, 4, 0, 0, 2, 4, 1, 0, 0, 3, 1, 3, 2, 3, 4, 2, 4, 0, 2, 3, 1, 4, 4, 0, 1, 1, 3, 1, 2, 4, 1, 0, 1, 1, 4, 2, 1, 4, 3, 4, 0, 4, 1, 2, 0, 2, 3, 0, 4, 4, 3, 3, 2, 2, 0, 3, 1, 0, 1, 3, 1, 4, 1, 1, 0, 1, 4, 4, 1, 1, 4, 3, 0, 0, 1, 2, 0, 4, 4, 2, 4, 1, 3, 3, 2, 0, 1, 4, 4, 3, 1, 2, 2, 0, 3, 0, 3, 4, 1, 3, 2, 1, 2, 1, 3, 4, 1, 2, 0, 3, 1, 0, 2, 3, 2, 3, 4, 3, 1, 4] pubkeycol1707 = [2, 3, 4, 2, 3, 2, 3, 4, 3, 0, 3, 3, 4, 2, 2, 4, 0, 0, 2, 2, 2, 1, 1, 3, 2, 1, 2, 4, 1, 1, 3, 3, 2, 1, 0, 3, 2, 1, 4, 4, 0, 4, 2, 3, 2, 1, 3, 3, 2, 4, 1, 3, 4, 2, 3, 1, 3, 4, 3, 1, 2, 1, 0, 1, 2, 4, 1, 0, 1, 0, 0, 4, 0, 2, 1, 3, 1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 3, 1, 0, 1, 2, 0, 4, 2, 2, 0, 3, 3, 3, 2, 2, 3, 0, 4, 2, 0, 2, 1, 2, 2, 4, 0, 3, 0, 4, 2, 2, 0, 4, 2, 2, 0, 3, 0, 4, 3, 4, 0, 1, 1, 3, 4, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 4, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 2, 2, 2, 4, 2, 1, 0, 4, 2, 4, 4, 0, 2, 0, 0, 3, 1, 0, 4, 0, 3, 0, 1, 4, 0, 2, 1, 4, 3, 4, 0, 1, 4, 1, 0, 1, 2, 0, 3, 0, 2, 4, 2, 2, 3, 1, 2, 0, 4, 4, 3, 1, 3, 3, 3, 2, 3, 0, 4, 3, 1, 1, 3, 3, 1, 2, 1, 2, 3, 2, 2, 2, 0, 3, 2, 3, 3, 4, 3, 2, 1, 3, 0, 3, 4, 0, 4, 0, 3, 3, 3, 0, 0, 2, 4, 2, 1, 2, 3, 1, 0, 3, 3, 1, 1, 0, 2, 4, 0, 4, 0, 1, 3, 0, 2, 0, 3, 2, 2, 4, 0, 0, 4, 4, 1, 0, 1, 0, 1, 1, 1, 0, 3, 3, 1, 3, 2, 4, 0, 4, 3, 4, 2, 1, 4, 2, 2, 4, 3, 4, 4, 1, 3, 1, 1, 3, 0, 3, 4, 0, 3, 0, 4, 0, 3, 0, 1, 0, 0, 1, 3, 3, 1, 0, 4, 1, 3, 2, 1, 3, 4, 4, 3, 1, 3, 4, 4, 1, 1, 3, 0, 4, 4, 4, 1, 1, 0, 0, 4, 0, 3, 3, 1, 1, 2, 0, 4, 0, 1, 0, 3, 1, 4, 0, 4, 0, 3, 2, 0, 3, 4, 3, 0, 2, 2, 3, 1, 0, 4, 1, 2, 3, 3, 1, 4, 3, 4, 0, 2, 1, 3, 4, 0, 3, 2, 0] pubkeycol1708 = [3, 1, 4, 0, 4, 2, 2, 4, 2, 1, 1, 4, 0, 1, 3, 4, 0, 4, 0, 1, 4, 1, 1, 4, 2, 1, 3, 1, 4, 0, 4, 4, 4, 1, 0, 4, 1, 3, 2, 4, 2, 4, 1, 4, 3, 2, 4, 1, 0, 4, 1, 0, 4, 3, 3, 0, 1, 3, 2, 4, 1, 0, 3, 3, 2, 3, 1, 0, 4, 1, 2, 2, 2, 3, 3, 2, 3, 0, 2, 4, 0, 4, 1, 2, 0, 4, 4, 1, 2, 2, 0, 0, 3, 4, 2, 3, 1, 4, 0, 4, 2, 1, 0, 0, 3, 3, 2, 4, 1, 4, 0, 1, 1, 3, 3, 3, 3, 4, 4, 1, 4, 2, 4, 3, 3, 3, 0, 3, 2, 1, 4, 1, 1, 4, 1, 1, 0, 4, 2, 0, 3, 2, 2, 1, 2, 3, 1, 3, 2, 0, 4, 3, 3, 3, 4, 3, 1, 2, 4, 3, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 4, 3, 4, 4, 2, 4, 4, 2, 4, 4, 0, 1, 3, 0, 0, 1, 3, 0, 2, 2, 2, 0, 2, 3, 4, 2, 2, 4, 2, 2, 0, 1, 2, 2, 4, 2, 3, 1, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 1, 1, 1, 1, 4, 3, 2, 3, 3, 0, 4, 1, 4, 1, 3, 3, 4, 4, 1, 3, 2, 3, 2, 2, 4, 2, 2, 3, 3, 2, 4, 2, 1, 1, 1, 2, 0, 3, 3, 2, 2, 1, 2, 3, 3, 4, 0, 2, 2, 4, 1, 2, 0, 4, 2, 3, 1, 0, 0, 3, 4, 3, 2, 0, 2, 0, 3, 3, 2, 2, 4, 0, 4, 4, 2, 2, 1, 3, 2, 2, 2, 2, 3, 0, 0, 3, 2, 1, 4, 3, 0, 2, 3, 0, 1, 0, 2, 0, 4, 2, 1, 3, 0, 0, 3, 4, 2, 0, 1, 1, 3, 3, 0, 1, 2, 1, 2, 0, 3, 3, 1, 4, 0, 2, 1, 2, 4, 3, 4, 2, 3, 3, 1, 3, 0, 0, 4, 2, 4, 1, 3, 0, 2, 4, 4, 0, 3, 1, 0, 4, 1, 1, 2, 2, 1, 3, 0, 2, 3, 3, 4, 0, 3, 3, 3, 0, 3, 1, 3, 0, 0, 1, 0, 1, 2, 4, 0, 3, 0, 2, 0, 1] pubkeycol1709 = [2, 4, 1, 2, 4, 1, 2, 3, 4, 4, 4, 1, 3, 3, 4, 2, 1, 1, 1, 1, 2, 1, 2, 4, 1, 0, 2, 1, 1, 0, 3, 3, 0, 1, 0, 2, 0, 2, 1, 3, 0, 3, 1, 0, 4, 3, 3, 4, 3, 1, 2, 0, 4, 0, 1, 3, 0, 3, 0, 3, 2, 3, 1, 0, 0, 0, 4, 2, 4, 0, 2, 1, 4, 3, 2, 4, 0, 2, 4, 0, 2, 3, 3, 3, 0, 0, 1, 0, 3, 2, 4, 2, 2, 2, 3, 3, 3, 2, 0, 0, 2, 1, 3, 4, 0, 1, 1, 2, 0, 1, 3, 0, 4, 1, 3, 1, 3, 1, 3, 2, 0, 0, 0, 3, 3, 2, 0, 4, 4, 2, 3, 0, 4, 0, 0, 2, 1, 2, 2, 1, 3, 3, 1, 0, 3, 4, 2, 1, 4, 2, 4, 0, 1, 0, 4, 0, 1, 2, 3, 2, 4, 4, 1, 2, 3, 2, 4, 3, 4, 3, 1, 2, 1, 0, 3, 3, 3, 3, 2, 3, 4, 1, 4, 3, 1, 0, 0, 1, 1, 2, 4, 0, 4, 3, 3, 0, 3, 2, 0, 4, 0, 1, 0, 4, 2, 4, 1, 3, 4, 1, 3, 0, 1, 0, 1, 0, 1, 3, 3, 0, 2, 3, 1, 3, 3, 3, 4, 2, 1, 4, 1, 2, 3, 1, 2, 0, 3, 1, 2, 1, 1, 2, 4, 0, 2, 4, 0, 3, 3, 1, 1, 0, 3, 4, 3, 1, 3, 1, 2, 3, 2, 3, 4, 4, 3, 4, 1, 2, 2, 0, 4, 2, 2, 1, 4, 4, 1, 3, 3, 1, 1, 4, 0, 1, 2, 3, 4, 4, 0, 2, 3, 2, 3, 3, 1, 1, 4, 1, 0, 3, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 2, 4, 1, 4, 4, 3, 3, 0, 1, 0, 3, 4, 2, 0, 2, 0, 0, 4, 4, 3, 1, 3, 3, 4, 4, 1, 1, 2, 0, 3, 2, 2, 3, 2, 1, 1, 2, 2, 2, 4, 3, 4, 4, 0, 2, 0, 3, 1, 0, 1, 0, 2, 4, 0, 2, 0, 3, 1, 2, 1, 2, 0, 2, 0, 3, 0, 1, 4, 1, 4, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 4, 4, 4, 2, 0, 2, 1, 4, 0, 2] pubkeycol1710 = [4, 1, 0, 3, 0, 0, 2, 0, 0, 4, 1, 1, 1, 2, 0, 4, 0, 4, 2, 4, 3, 1, 0, 2, 0, 4, 3, 0, 2, 0, 0, 2, 4, 4, 4, 4, 2, 4, 3, 1, 1, 3, 3, 0, 0, 2, 2, 4, 2, 0, 2, 4, 1, 1, 1, 4, 2, 4, 0, 2, 0, 3, 4, 1, 1, 4, 1, 3, 2, 2, 4, 1, 0, 4, 0, 3, 4, 2, 1, 3, 1, 3, 0, 2, 4, 0, 3, 1, 4, 0, 1, 2, 0, 4, 1, 2, 4, 2, 4, 3, 4, 3, 1, 0, 4, 3, 1, 3, 1, 1, 0, 1, 2, 1, 3, 0, 4, 3, 1, 2, 1, 3, 2, 2, 1, 2, 3, 2, 3, 1, 3, 1, 2, 1, 2, 2, 4, 0, 2, 3, 0, 3, 4, 3, 0, 2, 3, 2, 2, 1, 0, 4, 3, 3, 2, 3, 3, 3, 4, 1, 2, 0, 2, 4, 0, 4, 0, 4, 4, 4, 2, 1, 4, 4, 1, 0, 0, 0, 2, 1, 3, 1, 0, 4, 1, 0, 2, 4, 3, 3, 0, 0, 1, 3, 4, 0, 4, 0, 2, 2, 4, 1, 1, 1, 3, 1, 2, 2, 2, 2, 3, 0, 2, 2, 0, 4, 0, 2, 2, 3, 2, 4, 3, 1, 1, 3, 1, 3, 2, 0, 1, 4, 4, 2, 1, 1, 1, 4, 0, 3, 0, 1, 3, 3, 3, 4, 1, 4, 2, 3, 2, 4, 0, 3, 4, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 4, 1, 0, 2, 2, 0, 3, 2, 1, 2, 2, 3, 4, 1, 2, 1, 2, 2, 0, 0, 1, 4, 3, 2, 2, 3, 0, 0, 4, 0, 2, 3, 0, 3, 4, 2, 3, 2, 1, 3, 3, 0, 1, 4, 4, 3, 1, 0, 0, 3, 4, 2, 4, 1, 4, 3, 0, 4, 3, 2, 4, 4, 2, 4, 4, 1, 3, 0, 3, 1, 1, 0, 0, 2, 0, 3, 3, 1, 0, 4, 3, 0, 4, 2, 0, 1, 2, 3, 3, 0, 0, 0, 4, 1, 2, 3, 0, 1, 2, 0, 1, 1, 1, 0, 3, 4, 4, 1, 0, 4, 2, 2, 3, 2, 0, 2, 1, 4, 2, 2, 0, 1, 1, 0, 4, 3, 0, 1, 0, 0] pubkeycol1711 = [4, 0, 0, 0, 1, 4, 0, 2, 4, 3, 2, 3, 0, 1, 0, 3, 0, 4, 3, 1, 4, 3, 3, 0, 4, 1, 2, 3, 4, 3, 2, 2, 2, 4, 0, 0, 4, 3, 3, 4, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 3, 1, 2, 4, 0, 0, 3, 4, 0, 2, 1, 2, 3, 4, 3, 2, 0, 1, 0, 4, 4, 0, 3, 1, 4, 0, 0, 2, 0, 0, 1, 1, 3, 1, 3, 4, 3, 2, 2, 1, 3, 4, 2, 1, 1, 2, 1, 4, 2, 4, 4, 0, 1, 3, 0, 1, 3, 1, 1, 0, 1, 2, 3, 4, 3, 0, 2, 1, 0, 0, 1, 0, 4, 4, 0, 4, 2, 0, 4, 2, 4, 0, 4, 0, 2, 4, 4, 4, 4, 4, 1, 3, 1, 3, 3, 1, 3, 1, 1, 2, 3, 2, 0, 3, 3, 0, 1, 4, 4, 4, 0, 3, 3, 4, 2, 1, 4, 2, 1, 0, 0, 1, 2, 2, 4, 3, 2, 3, 1, 1, 1, 3, 3, 0, 4, 0, 4, 4, 1, 0, 0, 4, 2, 2, 4, 1, 1, 3, 0, 0, 4, 0, 0, 2, 3, 0, 3, 3, 2, 3, 3, 3, 0, 0, 4, 0, 1, 4, 0, 0, 1, 2, 3, 0, 2, 4, 3, 2, 0, 3, 2, 2, 4, 4, 3, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 3, 3, 0, 0, 0, 1, 3, 0, 0, 0, 2, 4, 3, 2, 4, 2, 3, 3, 1, 1, 3, 3, 1, 3, 0, 2, 3, 4, 3, 3, 2, 2, 3, 1, 3, 1, 3, 0, 2, 0, 4, 1, 0, 4, 1, 2, 2, 0, 2, 2, 4, 3, 2, 1, 3, 2, 1, 1, 4, 4, 1, 2, 1, 2, 2, 1, 2, 4, 1, 0, 0, 1, 0, 4, 2, 4, 0, 3, 0, 0, 0, 4, 0, 4, 3, 1, 1, 2, 2, 4, 2, 2, 4, 1, 3, 4, 0, 1, 4, 0, 0, 4, 4, 0, 2, 4, 2, 2, 1, 1, 2, 4, 2, 2, 4, 2, 3, 0, 0, 0, 2, 3, 1, 2, 1, 4, 3, 1, 3, 0, 0, 2, 4, 2, 3, 0, 1, 2, 2, 1, 0, 4, 4, 3, 2, 1, 0, 3, 2, 4, 0, 3] pubkeycol1712 = [0, 1, 4, 3, 2, 4, 1, 3, 4, 1, 0, 1, 0, 0, 2, 1, 4, 1, 4, 1, 3, 2, 1, 1, 2, 2, 2, 1, 1, 3, 0, 0, 3, 2, 2, 3, 1, 3, 0, 2, 1, 2, 0, 3, 0, 0, 4, 0, 2, 2, 1, 1, 1, 4, 1, 3, 4, 0, 0, 1, 2, 4, 3, 0, 2, 0, 0, 2, 4, 1, 0, 1, 3, 1, 3, 0, 3, 4, 3, 1, 3, 0, 0, 4, 3, 4, 4, 4, 3, 3, 0, 1, 3, 0, 0, 1, 4, 3, 4, 0, 3, 3, 1, 4, 0, 1, 2, 2, 0, 2, 1, 4, 4, 0, 3, 2, 0, 2, 1, 2, 3, 3, 3, 3, 3, 0, 1, 4, 1, 0, 0, 3, 3, 4, 1, 3, 4, 2, 3, 3, 0, 0, 0, 4, 3, 1, 4, 2, 0, 0, 0, 3, 4, 1, 1, 4, 4, 4, 3, 4, 1, 3, 2, 4, 2, 4, 0, 2, 0, 4, 3, 2, 0, 1, 1, 1, 2, 4, 0, 1, 4, 3, 1, 2, 0, 0, 2, 0, 0, 3, 2, 4, 1, 4, 0, 1, 4, 2, 0, 4, 2, 3, 1, 2, 0, 3, 2, 4, 0, 2, 0, 1, 0, 4, 2, 1, 2, 1, 2, 3, 2, 3, 0, 2, 1, 2, 2, 4, 2, 3, 4, 3, 0, 3, 3, 2, 1, 1, 4, 0, 2, 1, 4, 0, 0, 0, 3, 4, 2, 2, 0, 3, 3, 3, 2, 0, 4, 2, 2, 2, 3, 4, 1, 2, 1, 3, 0, 4, 2, 0, 1, 1, 3, 1, 3, 2, 1, 2, 4, 0, 4, 2, 0, 2, 3, 4, 3, 0, 0, 1, 3, 4, 4, 3, 3, 3, 3, 2, 0, 3, 3, 3, 4, 2, 3, 0, 2, 2, 0, 3, 4, 3, 3, 4, 3, 3, 1, 3, 3, 4, 2, 2, 0, 1, 0, 3, 0, 0, 3, 1, 2, 4, 4, 4, 3, 1, 2, 1, 2, 2, 3, 3, 1, 0, 0, 0, 4, 3, 3, 4, 4, 4, 0, 1, 3, 0, 1, 2, 3, 4, 1, 1, 2, 0, 2, 0, 4, 0, 1, 1, 2, 4, 0, 3, 2, 0, 2, 0, 1, 1, 4, 1, 2, 3, 4, 3, 4, 1, 4, 2, 2, 3, 0, 3, 2, 2, 3, 2, 3, 0] pubkeycol1713 = [1, 3, 4, 1, 0, 1, 0, 4, 1, 4, 4, 0, 4, 0, 3, 2, 4, 3, 0, 2, 0, 0, 4, 4, 2, 0, 1, 3, 2, 2, 1, 2, 4, 3, 4, 1, 2, 3, 2, 1, 4, 2, 1, 2, 1, 1, 0, 2, 0, 1, 3, 3, 0, 0, 0, 2, 3, 4, 1, 0, 2, 2, 4, 1, 4, 2, 4, 3, 2, 0, 3, 2, 3, 2, 4, 3, 1, 3, 2, 2, 0, 0, 3, 2, 0, 4, 4, 3, 2, 3, 4, 4, 2, 4, 0, 4, 2, 0, 2, 0, 4, 3, 4, 0, 4, 3, 3, 4, 3, 0, 1, 1, 1, 4, 0, 3, 4, 1, 1, 1, 4, 3, 0, 2, 0, 2, 2, 1, 3, 0, 3, 1, 0, 0, 3, 1, 3, 0, 0, 2, 3, 4, 4, 4, 1, 0, 2, 3, 1, 1, 2, 3, 3, 1, 2, 1, 4, 4, 4, 4, 2, 2, 2, 0, 4, 2, 2, 4, 2, 3, 0, 4, 2, 4, 2, 1, 3, 0, 4, 1, 1, 4, 1, 4, 2, 2, 4, 2, 2, 0, 1, 0, 4, 1, 0, 4, 3, 0, 1, 4, 0, 2, 2, 3, 4, 1, 3, 2, 1, 4, 3, 4, 4, 1, 4, 4, 4, 0, 4, 1, 1, 0, 4, 0, 0, 1, 0, 3, 1, 0, 1, 4, 2, 3, 0, 1, 1, 4, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 3, 0, 2, 3, 0, 2, 4, 1, 3, 3, 1, 2, 3, 2, 3, 0, 1, 1, 4, 0, 0, 1, 3, 0, 3, 4, 1, 3, 1, 1, 4, 2, 0, 4, 0, 4, 2, 4, 2, 0, 4, 1, 3, 1, 3, 2, 4, 2, 0, 4, 4, 4, 4, 3, 4, 2, 1, 0, 4, 4, 1, 0, 3, 0, 4, 1, 2, 3, 4, 1, 4, 0, 1, 4, 1, 1, 1, 1, 1, 3, 4, 4, 4, 3, 0, 2, 3, 3, 1, 1, 1, 0, 1, 3, 1, 3, 1, 3, 4, 0, 1, 1, 2, 3, 0, 3, 0, 0, 4, 1, 3, 1, 1, 1, 1, 1, 1, 4, 3, 1, 3, 3, 2, 4, 0, 0, 0, 2, 1, 0, 2, 2, 3, 0, 4, 3, 3, 1, 4, 2, 2, 2, 1, 1, 1, 3, 1, 2, 1, 2, 3] pubkeycol1714 = [3, 1, 0, 3, 0, 3, 0, 3, 0, 3, 2, 2, 0, 4, 1, 0, 2, 4, 0, 2, 4, 0, 0, 1, 1, 3, 3, 0, 3, 2, 2, 4, 3, 4, 4, 4, 1, 2, 0, 1, 3, 2, 3, 0, 0, 1, 4, 0, 0, 1, 3, 2, 1, 3, 2, 2, 2, 3, 1, 3, 1, 2, 4, 3, 1, 3, 0, 3, 3, 2, 4, 4, 4, 1, 3, 4, 3, 0, 2, 0, 3, 1, 3, 0, 1, 2, 0, 4, 2, 3, 4, 4, 1, 2, 2, 0, 3, 3, 3, 0, 2, 0, 2, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 3, 4, 2, 1, 3, 4, 3, 1, 2, 4, 2, 1, 2, 3, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 4, 3, 4, 4, 1, 2, 3, 2, 0, 4, 4, 4, 4, 4, 1, 3, 3, 4, 3, 2, 3, 3, 0, 2, 0, 1, 2, 4, 2, 4, 2, 0, 0, 1, 1, 0, 4, 4, 4, 0, 3, 3, 2, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 3, 4, 0, 1, 1, 1, 0, 4, 0, 0, 0, 3, 4, 0, 2, 0, 3, 3, 0, 3, 1, 0, 2, 3, 4, 2, 1, 1, 1, 0, 4, 4, 1, 3, 2, 0, 1, 3, 4, 4, 3, 1, 4, 2, 2, 2, 4, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 4, 4, 2, 0, 2, 4, 1, 1, 0, 4, 1, 4, 4, 4, 4, 4, 0, 0, 2, 4, 1, 4, 1, 2, 1, 1, 4, 1, 3, 2, 0, 3, 4, 2, 3, 3, 4, 1, 2, 0, 4, 0, 1, 4, 1, 4, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 4, 1, 0, 2, 4, 2, 4, 3, 2, 0, 1, 0, 0, 3, 4, 1, 1, 1, 3, 1, 1, 4, 2, 2, 2, 0, 1, 1, 4, 0, 3, 0, 2, 1, 1, 3, 4, 2, 4, 3, 4, 3, 2, 2, 4, 1, 3, 2, 4, 0, 2, 3, 4, 0, 1, 4, 2, 4, 0, 1, 2, 3, 1, 3, 0, 4, 1, 2, 3, 3, 3, 1, 1, 1, 4, 1, 0, 3, 3, 3, 2, 0, 3, 4, 0, 0, 1, 0, 2, 4] pubkeycol1715 = [2, 2, 2, 0, 3, 3, 1, 4, 4, 4, 0, 4, 4, 4, 1, 1, 2, 2, 3, 2, 4, 0, 3, 4, 4, 0, 4, 3, 1, 4, 4, 2, 4, 0, 0, 1, 0, 4, 3, 2, 1, 1, 4, 4, 0, 2, 2, 1, 2, 2, 4, 1, 1, 3, 3, 0, 3, 4, 0, 1, 2, 4, 3, 4, 2, 2, 0, 1, 1, 1, 0, 1, 3, 3, 2, 1, 1, 2, 1, 3, 2, 2, 4, 1, 2, 1, 1, 4, 4, 0, 2, 4, 1, 0, 2, 0, 0, 2, 4, 0, 0, 4, 4, 3, 3, 2, 1, 2, 4, 0, 3, 0, 4, 4, 3, 2, 3, 0, 0, 0, 4, 3, 0, 2, 4, 1, 1, 4, 0, 3, 2, 4, 3, 3, 1, 3, 3, 1, 4, 0, 1, 4, 4, 2, 1, 0, 4, 2, 0, 1, 0, 4, 0, 3, 4, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 1, 0, 1, 1, 2, 0, 2, 4, 3, 0, 1, 3, 4, 1, 4, 0, 0, 0, 4, 2, 0, 1, 4, 3, 3, 1, 1, 2, 1, 3, 4, 3, 2, 4, 1, 1, 0, 1, 1, 4, 3, 0, 2, 0, 4, 1, 3, 1, 4, 4, 0, 0, 4, 3, 4, 3, 0, 3, 0, 0, 0, 2, 4, 1, 4, 2, 0, 0, 1, 4, 1, 0, 0, 4, 0, 2, 1, 1, 4, 3, 4, 2, 4, 1, 3, 2, 0, 4, 2, 3, 4, 1, 2, 2, 0, 1, 2, 2, 4, 2, 1, 0, 4, 1, 3, 4, 2, 0, 1, 4, 0, 3, 2, 3, 0, 2, 1, 4, 3, 3, 1, 1, 1, 0, 3, 1, 4, 2, 1, 4, 1, 1, 0, 0, 0, 2, 0, 0, 4, 0, 4, 0, 0, 1, 4, 2, 2, 4, 1, 1, 3, 2, 1, 0, 3, 4, 1, 1, 1, 1, 0, 2, 1, 4, 3, 1, 0, 0, 1, 2, 1, 1, 1, 3, 0, 1, 1, 1, 0, 2, 0, 0, 4, 2, 0, 0, 1, 0, 4, 0, 1, 1, 4, 1, 2, 4, 3, 0, 0, 3, 2, 3, 1, 0, 4, 3, 4, 1, 0, 3, 0, 0, 1, 2, 3, 1, 2, 1, 1, 0, 3, 4, 2, 3, 4, 2, 3, 3, 2, 1] pubkeycol1716 = [0, 0, 0, 3, 1, 1, 1, 3, 3, 2, 1, 0, 4, 1, 0, 4, 4, 2, 1, 1, 0, 0, 3, 4, 0, 1, 4, 1, 2, 0, 4, 3, 3, 0, 2, 2, 4, 3, 3, 2, 3, 2, 3, 2, 0, 1, 4, 0, 4, 1, 1, 0, 4, 2, 0, 0, 0, 0, 2, 0, 3, 4, 4, 2, 0, 3, 3, 3, 0, 4, 1, 1, 4, 1, 4, 2, 0, 3, 4, 3, 1, 4, 3, 4, 0, 3, 4, 0, 0, 0, 4, 0, 1, 4, 4, 1, 1, 1, 3, 4, 2, 3, 1, 0, 2, 2, 3, 2, 0, 1, 2, 1, 3, 1, 1, 2, 3, 0, 3, 0, 1, 0, 0, 2, 3, 3, 2, 1, 4, 0, 2, 2, 4, 3, 4, 4, 0, 3, 0, 2, 2, 0, 0, 4, 1, 1, 4, 1, 4, 2, 1, 0, 0, 0, 2, 4, 3, 0, 2, 0, 2, 3, 1, 3, 4, 0, 2, 3, 2, 2, 0, 0, 4, 0, 0, 3, 1, 2, 4, 3, 4, 4, 4, 0, 2, 3, 1, 4, 3, 3, 0, 1, 0, 4, 4, 0, 2, 0, 2, 2, 0, 2, 3, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 3, 1, 3, 2, 4, 2, 0, 1, 1, 2, 0, 3, 4, 2, 1, 2, 0, 1, 3, 3, 1, 4, 0, 1, 2, 0, 3, 4, 0, 0, 3, 0, 3, 1, 2, 0, 0, 3, 0, 2, 3, 4, 0, 3, 2, 0, 0, 4, 3, 2, 2, 3, 2, 0, 0, 2, 1, 4, 2, 3, 0, 3, 0, 0, 4, 1, 3, 3, 4, 4, 3, 0, 3, 4, 0, 4, 4, 1, 4, 0, 1, 3, 4, 1, 4, 4, 0, 0, 2, 4, 3, 4, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 2, 3, 2, 4, 1, 0, 2, 2, 4, 3, 3, 4, 4, 4, 3, 0, 1, 4, 3, 2, 0, 4, 3, 3, 1, 2, 4, 0, 2, 4, 2, 0, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 4, 1, 0, 0, 0, 3, 2, 2, 4, 1, 2, 4, 1, 0, 2, 2, 3, 1, 4, 4, 4, 3, 1, 4, 2, 1, 1, 4, 0, 0, 3, 3, 4, 3, 2, 4, 0, 1] pubkeycol1717 = [0, 4, 4, 4, 1, 2, 1, 4, 3, 4, 3, 3, 3, 0, 2, 2, 3, 3, 3, 4, 1, 0, 2, 4, 0, 2, 0, 1, 3, 3, 1, 2, 4, 3, 3, 3, 2, 1, 1, 3, 2, 1, 4, 0, 0, 1, 1, 4, 2, 0, 0, 4, 2, 1, 1, 0, 2, 3, 1, 0, 2, 3, 2, 4, 2, 2, 3, 0, 3, 2, 0, 0, 4, 3, 2, 3, 4, 2, 4, 1, 2, 0, 3, 2, 1, 0, 4, 4, 4, 2, 2, 1, 0, 4, 1, 3, 0, 4, 0, 2, 0, 3, 4, 4, 0, 3, 4, 3, 3, 1, 4, 3, 0, 4, 0, 2, 0, 3, 1, 4, 3, 3, 2, 1, 2, 0, 3, 2, 1, 4, 4, 2, 3, 3, 0, 2, 2, 1, 1, 1, 4, 3, 2, 4, 1, 4, 3, 4, 2, 2, 1, 0, 1, 0, 3, 4, 1, 1, 3, 2, 1, 1, 4, 3, 4, 1, 4, 3, 1, 4, 1, 2, 0, 2, 2, 2, 1, 4, 0, 2, 2, 1, 4, 4, 3, 4, 2, 4, 2, 4, 4, 0, 2, 3, 0, 2, 4, 2, 3, 4, 2, 0, 0, 4, 0, 1, 2, 3, 3, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 3, 4, 2, 0, 3, 3, 1, 1, 0, 4, 3, 1, 3, 2, 3, 2, 2, 4, 2, 0, 3, 3, 0, 0, 4, 1, 2, 2, 4, 2, 2, 4, 3, 3, 0, 4, 2, 3, 4, 3, 2, 4, 0, 2, 1, 2, 3, 2, 3, 4, 4, 0, 3, 1, 4, 1, 4, 1, 0, 4, 4, 2, 2, 2, 3, 1, 4, 1, 3, 1, 3, 3, 4, 0, 4, 4, 4, 1, 3, 1, 3, 2, 0, 3, 1, 2, 4, 0, 2, 2, 3, 1, 1, 2, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 0, 4, 2, 2, 3, 1, 4, 2, 0, 0, 3, 4, 3, 4, 3, 2, 2, 2, 0, 2, 0, 1, 0, 2, 4, 2, 2, 2, 3, 0, 1, 4, 0, 1, 4, 1, 1, 1, 0, 0, 1, 0, 4, 4, 0, 0, 2, 0, 0, 1, 3, 1, 2, 2, 2, 3, 1, 4, 3, 0, 3, 3, 1, 3, 3, 0, 2, 0, 1, 3, 1, 1, 2, 4, 2] pubkeycol1718 = [2, 2, 1, 1, 2, 3, 2, 4, 4, 1, 4, 4, 3, 1, 4, 0, 4, 2, 2, 1, 2, 2, 0, 3, 3, 3, 2, 4, 0, 0, 2, 2, 1, 4, 1, 0, 3, 2, 3, 1, 2, 0, 3, 4, 4, 0, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 3, 2, 4, 1, 4, 3, 2, 2, 0, 1, 3, 2, 1, 1, 1, 0, 3, 1, 4, 4, 2, 4, 1, 2, 2, 0, 1, 4, 4, 3, 0, 3, 0, 2, 2, 1, 4, 4, 1, 2, 0, 0, 3, 2, 0, 0, 0, 1, 3, 2, 0, 2, 4, 1, 2, 0, 4, 1, 3, 3, 0, 4, 1, 4, 3, 2, 4, 3, 0, 2, 2, 4, 1, 3, 0, 3, 2, 1, 2, 0, 4, 0, 2, 3, 4, 2, 0, 0, 4, 3, 1, 4, 1, 2, 3, 0, 4, 1, 2, 2, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 4, 3, 1, 2, 2, 3, 2, 1, 4, 4, 0, 1, 4, 1, 3, 4, 3, 2, 3, 3, 4, 4, 3, 1, 4, 2, 1, 2, 0, 1, 0, 0, 4, 2, 3, 0, 2, 4, 0, 4, 1, 0, 3, 4, 2, 4, 3, 3, 1, 4, 3, 0, 0, 0, 3, 3, 4, 3, 2, 0, 3, 2, 4, 3, 2, 3, 0, 4, 1, 2, 1, 0, 4, 0, 2, 0, 0, 4, 2, 1, 3, 3, 1, 1, 1, 1, 0, 1, 4, 4, 2, 4, 1, 0, 0, 1, 4, 0, 0, 4, 1, 3, 0, 2, 3, 2, 0, 1, 3, 1, 0, 2, 2, 3, 3, 1, 0, 3, 4, 0, 1, 4, 1, 2, 1, 3, 2, 0, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 0, 4, 0, 1, 0, 4, 4, 3, 0, 1, 3, 1, 0, 1, 2, 1, 3, 4, 4, 0, 4, 1, 0, 0, 2, 4, 3, 1, 2, 2, 4, 1, 0, 1, 3, 0, 0, 0, 4, 2, 4, 4, 0, 1, 0, 4, 0, 2, 4, 1, 3, 3, 4, 0, 0, 3, 0, 3, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 1, 3, 4, 3, 0, 1, 2, 3, 4, 1, 3, 2, 0, 0, 4, 4, 1, 4, 0, 4, 2, 1, 3, 3] pubkeycol1719 = [4, 0, 4, 2, 1, 4, 0, 0, 0, 4, 1, 3, 2, 4, 4, 3, 3, 0, 4, 4, 2, 1, 4, 4, 3, 4, 3, 3, 3, 0, 2, 0, 4, 1, 3, 1, 0, 3, 1, 1, 2, 0, 4, 1, 4, 3, 4, 4, 4, 0, 4, 1, 3, 3, 3, 0, 0, 4, 3, 3, 0, 1, 1, 3, 0, 4, 1, 2, 3, 4, 3, 2, 3, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 2, 4, 4, 4, 0, 1, 0, 4, 3, 3, 1, 0, 3, 3, 3, 3, 3, 0, 2, 0, 3, 3, 2, 2, 2, 4, 3, 2, 0, 3, 0, 3, 1, 4, 2, 3, 0, 0, 2, 4, 4, 1, 2, 4, 4, 3, 1, 2, 2, 0, 2, 0, 2, 1, 3, 1, 0, 3, 0, 2, 0, 0, 2, 3, 0, 2, 2, 2, 3, 4, 1, 2, 1, 1, 0, 0, 0, 0, 4, 3, 4, 0, 1, 2, 1, 4, 3, 3, 3, 3, 1, 2, 1, 1, 4, 1, 2, 2, 1, 4, 2, 0, 0, 2, 0, 0, 3, 1, 1, 0, 1, 0, 4, 1, 1, 4, 3, 1, 1, 2, 3, 2, 1, 3, 0, 4, 4, 1, 4, 1, 0, 0, 0, 1, 4, 0, 0, 1, 2, 3, 4, 3, 3, 0, 3, 3, 4, 3, 4, 4, 4, 3, 4, 3, 2, 4, 4, 4, 2, 3, 0, 3, 4, 3, 1, 4, 1, 4, 2, 3, 3, 1, 4, 1, 4, 4, 2, 4, 3, 4, 3, 1, 0, 1, 3, 0, 0, 2, 1, 3, 3, 4, 2, 4, 1, 2, 3, 2, 2, 1, 2, 4, 4, 3, 2, 1, 2, 2, 0, 1, 4, 4, 1, 3, 4, 2, 3, 4, 2, 0, 3, 3, 1, 4, 1, 1, 1, 0, 3, 4, 0, 3, 2, 1, 3, 1, 3, 4, 3, 4, 2, 2, 2, 4, 1, 2, 1, 1, 3, 3, 0, 3, 4, 1, 2, 2, 1, 4, 1, 3, 2, 0, 1, 2, 2, 3, 1, 2, 3, 3, 0, 1, 2, 4, 3, 2, 3, 2, 3, 2, 0, 3, 1, 4, 2, 1, 0, 0, 3, 4, 0, 1, 4, 0, 4, 3, 1, 4, 1, 1, 3, 2, 0, 3, 1, 4, 0, 4, 0, 0, 0, 3, 0, 0, 2, 4, 2] pubkeycol1720 = [0, 1, 2, 1, 3, 3, 2, 1, 2, 1, 0, 0, 3, 4, 0, 2, 1, 4, 4, 3, 3, 2, 4, 4, 4, 1, 2, 1, 1, 4, 0, 2, 0, 0, 0, 0, 1, 2, 0, 4, 0, 2, 0, 3, 0, 0, 3, 3, 4, 2, 0, 0, 4, 3, 2, 4, 4, 3, 2, 0, 1, 4, 0, 4, 1, 2, 0, 4, 1, 0, 0, 4, 3, 3, 4, 4, 4, 1, 4, 4, 4, 2, 4, 4, 1, 3, 4, 4, 4, 0, 1, 4, 3, 4, 1, 3, 3, 0, 0, 0, 1, 2, 4, 4, 2, 2, 2, 1, 0, 1, 0, 4, 2, 1, 4, 2, 3, 0, 3, 1, 1, 4, 3, 0, 2, 3, 0, 4, 2, 1, 0, 4, 1, 1, 4, 1, 4, 0, 2, 3, 1, 4, 4, 4, 2, 3, 2, 4, 4, 0, 2, 4, 1, 2, 1, 3, 0, 3, 1, 1, 0, 3, 2, 4, 2, 4, 0, 3, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 0, 2, 2, 3, 3, 1, 0, 0, 1, 2, 0, 0, 0, 4, 0, 3, 3, 2, 0, 0, 3, 0, 3, 3, 2, 2, 4, 1, 1, 4, 0, 2, 0, 1, 0, 1, 3, 4, 3, 2, 4, 3, 0, 2, 1, 0, 4, 3, 4, 1, 2, 4, 0, 1, 1, 4, 4, 4, 1, 1, 2, 0, 2, 2, 0, 2, 4, 3, 0, 1, 3, 0, 1, 0, 1, 4, 1, 4, 2, 4, 1, 1, 1, 2, 4, 2, 4, 2, 0, 1, 4, 3, 3, 2, 0, 4, 1, 0, 0, 0, 3, 4, 2, 2, 2, 1, 2, 4, 4, 3, 3, 1, 0, 4, 0, 4, 0, 0, 3, 4, 2, 0, 4, 0, 1, 0, 2, 2, 1, 0, 0, 0, 4, 4, 4, 2, 3, 2, 4, 2, 4, 2, 3, 4, 2, 4, 4, 1, 2, 0, 1, 0, 0, 0, 0, 3, 2, 0, 4, 4, 2, 0, 4, 0, 2, 1, 0, 0, 2, 0, 1, 3, 0, 0, 2, 4, 4, 0, 1, 1, 2, 2, 3, 1, 1, 2, 0, 1, 0, 2, 4, 1, 1, 0, 3, 3, 0, 2, 4, 4, 0, 3, 4, 0, 2, 2, 0, 3, 1, 3, 0, 3, 1, 3, 4, 0, 2, 1] pubkeycol1721 = [3, 4, 0, 1, 0, 4, 0, 1, 3, 1, 2, 2, 4, 3, 0, 0, 4, 3, 2, 4, 4, 2, 4, 3, 1, 2, 0, 4, 4, 1, 3, 3, 3, 4, 1, 4, 4, 3, 4, 3, 3, 2, 2, 0, 4, 1, 3, 3, 3, 2, 4, 4, 3, 0, 1, 1, 2, 1, 2, 0, 3, 1, 0, 3, 1, 3, 1, 4, 1, 3, 3, 3, 0, 3, 1, 1, 4, 1, 2, 2, 3, 2, 0, 1, 4, 4, 0, 1, 0, 3, 2, 3, 4, 3, 2, 4, 3, 3, 4, 0, 1, 2, 0, 0, 2, 2, 2, 0, 4, 4, 0, 1, 2, 2, 4, 1, 2, 3, 3, 1, 2, 1, 3, 1, 4, 4, 1, 3, 3, 0, 1, 1, 1, 4, 2, 0, 1, 1, 4, 2, 3, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 3, 3, 4, 2, 0, 1, 2, 1, 4, 0, 3, 4, 1, 1, 4, 3, 1, 2, 3, 2, 1, 4, 2, 4, 2, 4, 4, 1, 4, 2, 4, 3, 2, 4, 3, 0, 2, 2, 3, 3, 3, 1, 2, 0, 0, 2, 2, 0, 3, 1, 1, 3, 2, 1, 2, 4, 3, 0, 4, 4, 0, 3, 3, 2, 3, 0, 2, 4, 1, 4, 3, 2, 3, 4, 4, 3, 0, 0, 4, 0, 3, 2, 0, 2, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 0, 2, 4, 2, 0, 1, 4, 3, 2, 0, 1, 0, 0, 0, 2, 3, 2, 4, 1, 4, 3, 4, 4, 4, 1, 3, 2, 0, 2, 1, 0, 3, 4, 4, 2, 4, 1, 1, 0, 3, 2, 1, 1, 0, 2, 3, 2, 1, 2, 0, 0, 4, 4, 3, 1, 2, 4, 0, 4, 2, 0, 0, 0, 0, 2, 0, 4, 0, 1, 4, 4, 2, 4, 0, 2, 3, 1, 3, 4, 4, 4, 2, 4, 2, 3, 2, 4, 0, 1, 0, 4, 0, 4, 0, 1, 0, 0, 0, 0, 3, 0, 4, 0, 3, 0, 2, 2, 1, 4, 3, 3, 2, 4, 0, 3, 3, 2, 4, 4, 1, 4, 4, 1, 4, 0, 2, 2, 3, 2, 3, 3, 0, 4, 3, 1, 2, 4, 1, 2, 0, 2, 0, 3, 0, 3, 3, 0, 3, 1, 3, 0, 1, 1, 4, 2] pubkeycol1722 = [4, 4, 1, 3, 2, 3, 0, 3, 2, 2, 3, 2, 2, 1, 2, 0, 0, 4, 1, 2, 0, 4, 0, 2, 4, 3, 0, 3, 2, 3, 0, 1, 0, 3, 4, 0, 0, 0, 2, 1, 2, 4, 3, 4, 4, 2, 4, 3, 3, 2, 3, 0, 2, 1, 0, 4, 4, 3, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 3, 1, 4, 0, 0, 3, 0, 3, 0, 1, 4, 3, 2, 3, 3, 4, 3, 4, 3, 3, 4, 1, 3, 2, 4, 0, 2, 1, 4, 3, 1, 1, 0, 2, 0, 0, 2, 1, 2, 4, 2, 3, 1, 3, 0, 2, 4, 2, 3, 4, 3, 1, 2, 1, 3, 0, 0, 4, 4, 3, 4, 2, 4, 4, 0, 3, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 3, 2, 0, 1, 1, 3, 1, 2, 1, 2, 3, 3, 2, 4, 0, 4, 2, 3, 3, 2, 2, 3, 4, 1, 2, 0, 4, 0, 1, 2, 0, 1, 0, 3, 3, 3, 1, 0, 1, 3, 0, 3, 4, 4, 4, 4, 1, 4, 3, 2, 1, 3, 0, 1, 0, 4, 2, 4, 3, 1, 1, 0, 1, 2, 2, 4, 0, 1, 3, 2, 1, 0, 1, 1, 1, 4, 2, 2, 2, 0, 1, 1, 1, 1, 1, 4, 4, 1, 2, 0, 2, 4, 2, 0, 3, 0, 2, 1, 0, 1, 3, 3, 3, 4, 3, 4, 1, 4, 4, 1, 0, 4, 1, 4, 4, 4, 3, 2, 2, 2, 2, 0, 2, 2, 4, 4, 3, 0, 4, 2, 3, 2, 1, 1, 0, 2, 3, 3, 3, 1, 0, 1, 0, 4, 3, 4, 0, 2, 0, 4, 0, 0, 4, 1, 1, 1, 0, 2, 0, 2, 4, 2, 3, 1, 1, 1, 4, 0, 3, 2, 3, 4, 4, 2, 0, 0, 2, 4, 3, 4, 2, 1, 2, 2, 4, 3, 1, 3, 4, 0, 3, 4, 3, 2, 2, 2, 4, 3, 1, 3, 0, 4, 0, 4, 3, 1, 3, 4, 1, 4, 4, 3, 2, 1, 3, 2, 2, 1, 2, 3, 0, 3, 0, 3, 2, 4, 3, 0, 2, 4, 0, 3, 0, 0, 2, 0, 2, 3, 4, 2, 0, 1, 1, 0, 3, 2, 2, 3, 0, 3, 0, 4, 2, 3, 0] pubkeycol1723 = [1, 2, 2, 1, 3, 4, 1, 4, 1, 0, 3, 1, 2, 4, 4, 0, 3, 0, 3, 0, 3, 1, 2, 0, 2, 4, 0, 0, 4, 4, 3, 0, 1, 0, 4, 0, 2, 1, 3, 0, 1, 2, 3, 4, 1, 4, 2, 4, 3, 2, 0, 3, 2, 4, 1, 2, 2, 2, 0, 2, 1, 3, 2, 1, 2, 3, 0, 2, 4, 1, 2, 4, 2, 3, 3, 1, 1, 3, 2, 0, 1, 1, 1, 1, 1, 4, 4, 4, 4, 1, 0, 4, 1, 1, 0, 2, 0, 2, 3, 4, 0, 1, 2, 3, 3, 3, 0, 4, 4, 0, 4, 2, 0, 4, 1, 1, 4, 4, 3, 2, 0, 1, 4, 1, 2, 4, 3, 1, 2, 3, 4, 4, 1, 3, 2, 1, 4, 3, 3, 1, 0, 2, 2, 2, 0, 2, 1, 0, 3, 4, 1, 2, 4, 1, 3, 3, 1, 0, 0, 3, 0, 1, 2, 3, 0, 2, 1, 2, 0, 4, 0, 1, 4, 3, 1, 3, 4, 4, 0, 0, 4, 4, 2, 4, 4, 2, 3, 1, 3, 1, 3, 1, 3, 4, 4, 0, 0, 4, 3, 4, 3, 1, 2, 1, 2, 3, 2, 1, 1, 1, 1, 4, 4, 0, 1, 0, 4, 4, 2, 2, 4, 2, 0, 2, 0, 4, 0, 3, 0, 4, 1, 1, 0, 3, 3, 4, 0, 1, 0, 2, 3, 4, 4, 4, 3, 2, 4, 4, 2, 3, 0, 2, 3, 3, 4, 1, 0, 0, 4, 1, 1, 4, 1, 1, 4, 2, 0, 3, 0, 2, 0, 3, 4, 2, 0, 0, 0, 3, 0, 0, 2, 0, 0, 3, 3, 1, 3, 3, 1, 2, 4, 4, 4, 2, 2, 1, 2, 0, 0, 2, 4, 1, 0, 0, 3, 2, 0, 1, 2, 4, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 0, 0, 2, 0, 2, 3, 3, 2, 3, 1, 0, 1, 1, 4, 1, 0, 1, 4, 4, 4, 0, 2, 1, 4, 0, 2, 0, 0, 4, 4, 0, 3, 1, 1, 3, 0, 3, 4, 0, 0, 1, 3, 0, 0, 1, 3, 1, 0, 3, 3, 2, 2, 2, 3, 4, 2, 2, 2, 4, 3, 3, 0, 2, 0, 0, 2, 4, 3, 2, 1, 2, 4, 1, 2, 4, 0, 2, 0, 0, 2] pubkeycol1724 = [2, 4, 4, 1, 0, 1, 0, 2, 4, 0, 1, 3, 2, 2, 0, 0, 2, 3, 1, 0, 0, 3, 2, 2, 1, 1, 2, 2, 0, 4, 2, 1, 0, 4, 1, 3, 0, 4, 2, 2, 0, 4, 3, 3, 0, 4, 2, 1, 3, 2, 1, 0, 4, 3, 1, 1, 2, 4, 0, 3, 0, 2, 0, 4, 2, 2, 0, 4, 0, 4, 1, 4, 1, 2, 2, 2, 1, 3, 3, 2, 4, 2, 3, 0, 3, 2, 4, 2, 2, 0, 4, 3, 0, 2, 0, 3, 0, 2, 0, 3, 3, 1, 2, 4, 3, 3, 1, 4, 4, 4, 1, 4, 0, 2, 3, 4, 2, 3, 1, 4, 1, 0, 1, 0, 2, 0, 0, 1, 3, 2, 4, 3, 0, 3, 0, 2, 3, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 4, 2, 3, 4, 4, 4, 3, 0, 3, 4, 3, 1, 3, 0, 4, 1, 3, 2, 3, 2, 2, 4, 2, 1, 3, 0, 0, 3, 4, 1, 2, 0, 3, 3, 2, 0, 3, 0, 4, 1, 0, 0, 2, 0, 0, 2, 3, 4, 0, 1, 4, 4, 3, 4, 4, 3, 2, 4, 2, 1, 3, 2, 3, 0, 3, 3, 3, 2, 2, 4, 1, 3, 1, 2, 3, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 3, 0, 2, 0, 1, 0, 2, 4, 2, 1, 4, 3, 0, 1, 2, 0, 0, 1, 3, 3, 0, 4, 0, 4, 0, 3, 3, 4, 2, 1, 1, 2, 3, 1, 3, 4, 0, 0, 4, 2, 4, 3, 3, 0, 3, 3, 4, 2, 3, 2, 0, 1, 2, 0, 4, 3, 4, 2, 2, 0, 3, 2, 1, 3, 0, 2, 3, 0, 3, 3, 0, 2, 3, 3, 1, 3, 3, 2, 3, 2, 3, 0, 2, 3, 3, 1, 0, 2, 1, 2, 3, 2, 1, 0, 3, 1, 0, 2, 0, 4, 2, 2, 4, 1, 0, 1, 2, 0, 4, 4, 0, 4, 2, 2, 3, 4, 1, 3, 1, 1, 1, 2, 1, 4, 0, 4, 4, 1, 0, 1, 2, 4, 2, 2, 3, 1, 0, 3, 0, 2, 1, 4, 4, 2, 3, 3, 4, 4, 2, 2, 4, 1, 0, 1, 1, 3, 0, 1, 2, 4] pubkeycol1725 = [0, 1, 3, 1, 2, 2, 0, 3, 4, 4, 1, 0, 1, 2, 0, 1, 4, 3, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 4, 4, 2, 3, 3, 2, 2, 0, 0, 3, 0, 3, 3, 1, 3, 1, 3, 1, 0, 1, 0, 4, 1, 0, 3, 1, 3, 1, 0, 3, 1, 0, 2, 0, 3, 4, 1, 1, 3, 1, 0, 1, 2, 1, 4, 1, 2, 4, 1, 0, 2, 2, 4, 3, 2, 1, 2, 1, 4, 4, 4, 2, 4, 1, 3, 3, 0, 0, 2, 2, 2, 2, 3, 4, 0, 2, 4, 0, 0, 3, 3, 4, 3, 2, 2, 4, 4, 2, 1, 3, 0, 2, 0, 2, 3, 0, 2, 0, 1, 3, 4, 4, 2, 1, 2, 2, 2, 1, 4, 3, 2, 4, 1, 1, 2, 4, 0, 1, 4, 4, 0, 0, 4, 2, 1, 4, 1, 2, 2, 3, 0, 2, 3, 4, 4, 2, 4, 4, 0, 4, 4, 1, 3, 1, 1, 3, 1, 2, 0, 2, 0, 0, 3, 2, 1, 1, 3, 1, 2, 2, 1, 2, 3, 1, 1, 2, 1, 3, 4, 3, 3, 0, 2, 1, 0, 4, 3, 3, 2, 3, 4, 2, 0, 4, 3, 0, 1, 2, 3, 1, 3, 3, 2, 4, 2, 4, 1, 2, 3, 0, 4, 0, 2, 4, 0, 4, 4, 3, 0, 4, 0, 1, 4, 1, 2, 0, 4, 2, 2, 0, 2, 3, 4, 4, 2, 3, 2, 3, 4, 3, 4, 4, 2, 0, 3, 3, 1, 4, 2, 4, 1, 4, 2, 3, 2, 3, 0, 2, 4, 2, 0, 4, 3, 0, 0, 0, 1, 3, 3, 3, 3, 0, 2, 1, 3, 2, 3, 2, 2, 4, 2, 4, 0, 0, 0, 1, 0, 3, 4, 2, 2, 0, 3, 2, 3, 3, 2, 0, 0, 1, 4, 4, 2, 1, 3, 1, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 2, 0, 3, 4, 4, 2, 1, 3, 4, 4, 4, 2, 4, 1, 3, 4, 2, 4, 0, 0, 3, 3, 2, 3, 4, 3, 3, 3, 2, 4, 4, 1, 2, 1, 3, 2, 2, 4, 4, 0, 4, 3, 1, 0, 3, 2, 0, 3, 3, 4, 0, 2, 2, 3, 3, 2, 1, 2, 4, 1, 2, 0, 1] pubkeycol1726 = [1, 3, 3, 4, 2, 4, 4, 3, 1, 4, 0, 0, 2, 4, 4, 4, 0, 1, 2, 4, 0, 1, 4, 4, 3, 1, 3, 1, 2, 1, 2, 3, 4, 2, 4, 2, 3, 1, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 1, 4, 4, 0, 2, 3, 1, 2, 1, 3, 2, 2, 3, 1, 3, 4, 0, 3, 3, 1, 1, 2, 1, 4, 4, 3, 1, 4, 1, 2, 2, 0, 0, 1, 1, 2, 2, 4, 0, 4, 1, 3, 2, 4, 3, 3, 0, 2, 1, 4, 3, 0, 4, 1, 2, 4, 1, 4, 4, 0, 0, 2, 3, 1, 3, 3, 1, 4, 2, 3, 0, 3, 0, 2, 3, 1, 2, 0, 3, 3, 0, 3, 3, 3, 4, 2, 0, 1, 1, 3, 3, 2, 4, 0, 1, 2, 4, 3, 2, 2, 1, 3, 4, 1, 1, 0, 4, 1, 1, 4, 1, 1, 4, 3, 3, 0, 0, 2, 0, 3, 4, 4, 3, 3, 0, 4, 0, 0, 0, 4, 0, 3, 2, 0, 0, 4, 4, 3, 3, 3, 2, 0, 2, 2, 2, 4, 4, 4, 2, 1, 3, 2, 3, 4, 1, 3, 3, 4, 2, 3, 3, 2, 1, 0, 3, 2, 2, 1, 1, 3, 4, 2, 2, 4, 0, 4, 4, 1, 2, 2, 0, 0, 2, 3, 0, 3, 4, 4, 2, 2, 4, 2, 1, 4, 3, 2, 1, 4, 3, 4, 3, 1, 0, 4, 1, 3, 4, 4, 3, 4, 2, 2, 2, 4, 2, 2, 2, 1, 2, 3, 0, 2, 3, 3, 4, 4, 2, 4, 4, 4, 4, 1, 4, 2, 0, 4, 0, 1, 0, 3, 4, 4, 0, 3, 3, 3, 4, 4, 2, 2, 3, 2, 4, 4, 0, 4, 0, 1, 0, 1, 4, 3, 4, 2, 4, 1, 2, 0, 0, 3, 0, 4, 2, 0, 0, 3, 0, 1, 1, 2, 1, 3, 0, 1, 4, 0, 1, 4, 0, 3, 0, 3, 4, 1, 4, 1, 3, 1, 1, 2, 0, 2, 1, 0, 2, 1, 4, 2, 2, 3, 0, 2, 3, 4, 4, 3, 0, 4, 3, 3, 1, 0, 4, 0, 1, 1, 2, 4, 4, 3, 4, 1, 0, 1, 4, 2, 3, 3, 3, 0, 3, 1, 4, 4, 0, 0, 3, 1, 0, 0, 2, 0] pubkeycol1727 = [0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 4, 2, 2, 2, 2, 0, 1, 0, 0, 4, 2, 3, 2, 1, 4, 1, 2, 2, 3, 0, 2, 3, 2, 1, 1, 0, 4, 0, 2, 1, 2, 3, 0, 4, 1, 0, 1, 3, 4, 2, 0, 2, 1, 2, 0, 4, 4, 0, 1, 3, 2, 3, 0, 3, 3, 0, 0, 0, 3, 1, 3, 2, 4, 1, 0, 0, 1, 0, 3, 1, 0, 0, 1, 4, 4, 0, 3, 1, 4, 1, 0, 1, 4, 4, 0, 2, 2, 3, 1, 4, 0, 1, 4, 1, 0, 3, 3, 1, 4, 2, 4, 3, 1, 2, 0, 4, 0, 0, 2, 0, 3, 1, 2, 4, 3, 0, 2, 3, 3, 1, 4, 1, 1, 2, 3, 0, 4, 2, 1, 2, 0, 3, 3, 4, 2, 4, 2, 3, 3, 1, 0, 4, 1, 1, 3, 1, 3, 4, 2, 4, 1, 4, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 4, 4, 4, 1, 2, 2, 2, 3, 3, 4, 2, 0, 4, 1, 1, 0, 0, 2, 4, 2, 4, 3, 2, 1, 0, 0, 4, 2, 1, 3, 3, 0, 0, 2, 0, 4, 4, 1, 3, 2, 4, 0, 0, 4, 3, 1, 1, 1, 3, 1, 2, 3, 1, 0, 3, 0, 3, 1, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 4, 2, 3, 2, 3, 4, 4, 1, 4, 1, 3, 1, 1, 1, 0, 0, 4, 4, 2, 0, 1, 3, 4, 3, 3, 0, 2, 4, 4, 3, 2, 2, 3, 4, 3, 2, 1, 4, 1, 0, 2, 4, 4, 4, 1, 2, 2, 1, 0, 4, 1, 3, 0, 3, 0, 2, 1, 4, 4, 3, 3, 2, 1, 2, 3, 4, 4, 0, 2, 0, 1, 0, 3, 4, 4, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 4, 0, 2, 4, 4, 3, 4, 2, 3, 3, 3, 2, 2, 0, 1, 0, 0, 1, 3, 2, 3, 4, 2, 2, 1, 2, 0, 4, 0, 4, 0, 0, 4, 1, 3, 0, 2, 2, 4, 3, 3, 2, 4, 1, 0, 4, 4, 3, 1, 1, 0, 2, 3, 1, 3, 1, 0, 3, 4, 1, 1, 4, 2, 1, 0, 1, 3] pubkeycol1728 = [0, 4, 0, 0, 1, 4, 3, 4, 4, 4, 3, 1, 0, 0, 2, 0, 1, 2, 2, 3, 3, 0, 3, 0, 0, 4, 2, 2, 2, 4, 4, 2, 0, 4, 4, 4, 1, 2, 4, 3, 0, 1, 0, 0, 0, 0, 0, 3, 1, 1, 2, 4, 1, 2, 0, 3, 2, 3, 1, 1, 0, 4, 3, 3, 1, 0, 4, 4, 2, 3, 0, 0, 1, 0, 4, 3, 3, 4, 2, 4, 3, 1, 3, 1, 2, 3, 4, 1, 0, 4, 2, 0, 3, 0, 1, 2, 0, 2, 2, 2, 1, 3, 1, 0, 0, 2, 2, 4, 0, 3, 3, 0, 4, 4, 2, 4, 2, 2, 1, 2, 1, 0, 1, 0, 4, 4, 2, 1, 0, 1, 3, 4, 3, 0, 3, 4, 2, 4, 2, 3, 3, 4, 3, 3, 1, 1, 0, 4, 0, 4, 0, 3, 1, 1, 1, 4, 0, 0, 2, 2, 1, 0, 0, 0, 4, 2, 1, 2, 2, 0, 3, 0, 2, 0, 2, 1, 1, 2, 2, 3, 4, 0, 0, 2, 2, 2, 0, 4, 3, 3, 2, 3, 3, 2, 0, 0, 4, 3, 4, 3, 0, 0, 4, 1, 4, 4, 2, 0, 3, 4, 3, 1, 1, 4, 0, 0, 1, 4, 0, 1, 1, 0, 0, 4, 1, 1, 2, 3, 3, 0, 1, 3, 2, 2, 1, 0, 4, 3, 3, 4, 0, 0, 2, 0, 4, 3, 3, 3, 0, 2, 1, 2, 3, 4, 1, 4, 3, 4, 3, 3, 2, 2, 4, 3, 3, 4, 0, 1, 4, 2, 1, 4, 3, 4, 2, 4, 0, 2, 4, 0, 4, 1, 4, 2, 4, 4, 0, 1, 3, 4, 3, 2, 1, 1, 4, 3, 4, 3, 4, 3, 1, 0, 4, 4, 1, 1, 3, 3, 3, 0, 3, 2, 4, 0, 4, 4, 4, 0, 1, 0, 1, 0, 2, 0, 3, 4, 2, 2, 0, 0, 4, 0, 3, 0, 4, 3, 2, 0, 4, 2, 0, 0, 3, 0, 4, 4, 0, 2, 1, 2, 0, 4, 1, 2, 3, 0, 0, 3, 2, 1, 1, 0, 0, 2, 0, 2, 0, 4, 4, 2, 1, 4, 2, 0, 1, 3, 4, 3, 3, 4, 0, 0, 3, 4, 0, 0, 3, 2, 0, 0, 0, 4, 3, 0, 0, 3, 3, 3, 1, 2] pubkeycol1729 = [4, 1, 4, 1, 3, 0, 2, 4, 0, 3, 0, 1, 2, 2, 3, 0, 3, 4, 0, 1, 4, 1, 4, 2, 0, 1, 0, 1, 4, 3, 0, 4, 4, 3, 1, 1, 1, 0, 0, 3, 1, 2, 1, 0, 2, 3, 1, 0, 3, 3, 2, 0, 3, 0, 0, 4, 0, 0, 3, 3, 1, 1, 4, 1, 2, 0, 2, 1, 3, 3, 2, 2, 1, 1, 2, 4, 3, 1, 3, 3, 4, 1, 4, 4, 2, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 1, 4, 1, 2, 3, 1, 0, 4, 2, 0, 2, 3, 0, 3, 3, 1, 1, 4, 3, 4, 4, 0, 0, 1, 3, 4, 0, 3, 3, 1, 0, 2, 0, 2, 0, 4, 1, 4, 1, 0, 3, 4, 2, 2, 3, 3, 3, 2, 0, 1, 3, 2, 4, 3, 3, 3, 1, 3, 4, 4, 3, 4, 2, 4, 4, 2, 1, 3, 4, 3, 2, 1, 1, 4, 4, 3, 4, 2, 2, 1, 4, 4, 3, 4, 3, 3, 2, 3, 3, 0, 4, 2, 4, 2, 1, 3, 1, 3, 0, 2, 3, 1, 2, 4, 4, 0, 1, 1, 3, 0, 0, 0, 1, 1, 2, 3, 3, 2, 3, 2, 0, 2, 4, 3, 4, 0, 0, 2, 0, 0, 1, 4, 1, 2, 0, 0, 0, 1, 4, 2, 0, 0, 0, 3, 1, 0, 4, 3, 3, 3, 2, 2, 2, 3, 0, 1, 0, 3, 1, 0, 1, 2, 4, 4, 1, 4, 3, 3, 2, 1, 1, 1, 4, 3, 0, 3, 3, 3, 2, 3, 4, 4, 2, 1, 0, 1, 1, 2, 3, 4, 4, 1, 1, 4, 3, 2, 0, 4, 1, 4, 4, 0, 3, 1, 0, 3, 4, 1, 2, 2, 4, 3, 3, 2, 4, 4, 0, 3, 4, 3, 1, 3, 4, 0, 4, 1, 4, 0, 3, 4, 3, 0, 3, 2, 2, 2, 2, 3, 0, 4, 3, 3, 0, 0, 3, 1, 3, 2, 4, 2, 2, 1, 1, 4, 1, 2, 4, 2, 3, 1, 3, 2, 3, 3, 1, 2, 1, 0, 4, 2, 2, 3, 1, 0, 3, 0, 1, 4, 4, 4, 4, 3, 3, 0, 2, 3, 3, 1, 2, 2, 3, 1, 4, 1, 4, 2, 1, 1, 0, 4, 2, 2, 2, 2] pubkeycol1730 = [2, 4, 2, 0, 2, 2, 3, 4, 3, 0, 0, 0, 2, 2, 2, 4, 4, 1, 4, 1, 1, 0, 4, 4, 4, 4, 1, 3, 1, 3, 1, 1, 3, 3, 2, 4, 1, 2, 3, 4, 2, 1, 2, 1, 1, 1, 4, 4, 0, 4, 1, 2, 1, 0, 4, 0, 2, 4, 1, 0, 2, 2, 3, 3, 2, 2, 0, 0, 1, 0, 1, 3, 2, 1, 0, 4, 1, 1, 4, 2, 2, 0, 3, 1, 4, 3, 2, 4, 1, 2, 3, 3, 0, 1, 3, 3, 2, 3, 4, 4, 4, 1, 1, 1, 2, 0, 4, 0, 0, 4, 0, 2, 4, 3, 4, 4, 2, 0, 4, 1, 2, 2, 2, 4, 4, 0, 4, 4, 3, 3, 1, 0, 4, 2, 2, 4, 2, 4, 3, 0, 1, 4, 4, 3, 3, 1, 0, 3, 2, 0, 2, 0, 0, 2, 0, 2, 4, 3, 3, 1, 0, 3, 4, 1, 4, 1, 4, 0, 2, 1, 4, 1, 2, 2, 3, 2, 1, 1, 2, 3, 2, 3, 1, 3, 3, 2, 1, 2, 1, 0, 4, 1, 0, 4, 1, 4, 2, 4, 3, 1, 4, 1, 2, 0, 3, 2, 4, 2, 0, 4, 3, 0, 1, 0, 3, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 4, 0, 2, 0, 0, 2, 2, 0, 2, 0, 4, 3, 1, 2, 4, 4, 0, 0, 2, 4, 2, 4, 0, 4, 0, 3, 3, 4, 3, 4, 1, 4, 1, 3, 1, 0, 3, 2, 2, 0, 4, 4, 2, 0, 1, 0, 1, 4, 4, 4, 1, 3, 2, 0, 3, 2, 2, 1, 2, 0, 4, 3, 0, 1, 2, 4, 2, 2, 4, 2, 4, 2, 0, 3, 0, 1, 2, 2, 0, 2, 2, 4, 1, 0, 0, 3, 2, 4, 1, 3, 2, 1, 4, 3, 2, 2, 1, 2, 3, 0, 4, 1, 3, 3, 4, 1, 0, 1, 4, 2, 3, 0, 0, 4, 0, 0, 4, 2, 2, 0, 2, 2, 4, 4, 4, 0, 0, 2, 2, 3, 3, 2, 3, 1, 1, 4, 1, 2, 2, 3, 3, 1, 3, 3, 4, 2, 1, 4, 4, 3, 0, 1, 4, 3, 1, 4, 4, 3, 1, 0, 4, 4, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 3, 1, 1] pubkeycol1731 = [0, 1, 4, 3, 2, 0, 2, 2, 0, 2, 1, 0, 3, 0, 3, 3, 4, 0, 0, 2, 4, 0, 0, 4, 1, 3, 3, 2, 1, 2, 1, 3, 4, 4, 3, 4, 1, 3, 4, 2, 2, 2, 0, 1, 3, 2, 1, 4, 3, 1, 4, 3, 3, 1, 2, 2, 1, 0, 4, 1, 2, 2, 1, 0, 1, 2, 0, 4, 2, 0, 2, 0, 4, 4, 2, 0, 1, 1, 3, 3, 4, 1, 2, 1, 4, 0, 2, 4, 2, 2, 1, 0, 0, 1, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 0, 2, 0, 2, 1, 2, 3, 4, 1, 3, 1, 3, 4, 2, 3, 4, 0, 1, 4, 0, 2, 2, 3, 2, 3, 4, 2, 0, 4, 3, 2, 1, 1, 3, 3, 3, 3, 1, 3, 4, 1, 1, 2, 4, 3, 4, 4, 0, 4, 2, 4, 1, 4, 3, 3, 4, 2, 4, 1, 3, 4, 4, 2, 1, 4, 1, 1, 0, 3, 2, 2, 0, 3, 0, 3, 4, 0, 3, 2, 3, 1, 0, 1, 4, 2, 3, 2, 3, 0, 4, 3, 0, 0, 0, 4, 1, 0, 2, 3, 1, 0, 0, 1, 4, 1, 4, 1, 3, 3, 0, 0, 3, 1, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 2, 4, 4, 0, 4, 1, 2, 2, 1, 2, 1, 3, 4, 2, 2, 4, 0, 2, 2, 4, 3, 3, 1, 0, 3, 0, 3, 0, 2, 1, 0, 4, 2, 3, 4, 2, 3, 2, 3, 1, 2, 0, 3, 4, 3, 4, 4, 3, 1, 0, 1, 2, 3, 4, 3, 2, 3, 3, 0, 0, 1, 2, 4, 2, 4, 2, 1, 4, 0, 4, 3, 1, 0, 1, 1, 3, 1, 3, 1, 4, 1, 3, 1, 2, 0, 3, 0, 0, 4, 0, 3, 3, 3, 3, 2, 0, 3, 2, 3, 0, 4, 1, 1, 1, 2, 4, 0, 4, 1, 3, 1, 1, 4, 0, 4, 1, 3, 1, 1, 0, 2, 2, 2, 4, 0, 1, 2, 4, 4, 0, 3, 1, 2, 0, 4, 0, 2, 4, 3, 4, 1, 2, 2, 4, 1, 2, 0, 3, 0, 0, 0, 2, 3, 0, 4, 2, 0, 3, 0, 2, 2, 2, 1, 3, 4, 2, 0, 3, 1, 2] pubkeycol1732 = [2, 4, 0, 4, 2, 1, 0, 4, 4, 3, 3, 3, 2, 4, 4, 1, 2, 3, 0, 4, 1, 4, 2, 2, 4, 3, 4, 2, 4, 2, 1, 1, 0, 4, 3, 1, 4, 2, 2, 1, 3, 0, 2, 0, 0, 4, 0, 0, 2, 2, 0, 3, 4, 0, 0, 3, 1, 4, 2, 3, 0, 1, 4, 3, 3, 2, 4, 1, 0, 2, 4, 0, 3, 1, 4, 1, 4, 0, 0, 0, 3, 3, 4, 3, 0, 0, 4, 3, 4, 4, 0, 0, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 3, 4, 2, 1, 2, 2, 0, 1, 3, 4, 0, 3, 3, 4, 4, 3, 0, 3, 2, 0, 4, 0, 0, 3, 3, 0, 1, 3, 0, 2, 0, 4, 0, 0, 3, 4, 2, 0, 1, 1, 2, 2, 4, 4, 1, 0, 2, 1, 4, 4, 4, 2, 3, 1, 1, 3, 3, 1, 1, 0, 4, 4, 1, 1, 4, 1, 4, 0, 4, 2, 2, 2, 4, 3, 0, 2, 4, 4, 4, 0, 0, 4, 4, 1, 3, 3, 2, 4, 1, 4, 1, 3, 2, 2, 3, 3, 3, 0, 2, 4, 3, 2, 4, 2, 4, 2, 3, 4, 0, 2, 4, 2, 3, 0, 1, 4, 4, 0, 4, 3, 4, 0, 1, 1, 4, 1, 0, 0, 4, 3, 3, 2, 2, 1, 0, 3, 0, 3, 3, 3, 0, 0, 2, 3, 2, 4, 0, 2, 4, 0, 2, 0, 0, 4, 1, 0, 4, 0, 4, 0, 0, 1, 1, 4, 0, 0, 3, 1, 2, 1, 2, 3, 1, 3, 1, 0, 1, 1, 1, 0, 4, 3, 1, 1, 4, 4, 1, 2, 3, 4, 0, 3, 1, 1, 4, 4, 2, 3, 1, 0, 0, 0, 2, 2, 1, 4, 3, 0, 4, 1, 0, 4, 1, 0, 4, 4, 0, 0, 3, 0, 0, 0, 3, 2, 3, 0, 4, 0, 0, 3, 0, 0, 0, 1, 3, 2, 4, 2, 3, 2, 4, 0, 4, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 3, 3, 0, 3, 4, 0, 4, 4, 0, 1, 1, 4, 1, 0, 0, 3, 4, 0, 0, 0, 2, 1, 4, 2, 2, 1, 2, 3, 4, 1, 3, 4, 3, 1, 1, 3, 3, 2, 3, 4, 3, 1, 1, 2] pubkeycol1733 = [0, 1, 0, 3, 1, 1, 2, 0, 4, 2, 4, 2, 3, 3, 3, 0, 2, 0, 2, 4, 1, 0, 3, 3, 1, 2, 1, 0, 2, 0, 4, 3, 0, 4, 2, 0, 0, 4, 4, 1, 4, 2, 0, 0, 2, 0, 3, 2, 1, 2, 4, 3, 2, 3, 2, 0, 4, 2, 4, 2, 0, 1, 3, 2, 2, 3, 1, 1, 1, 1, 3, 4, 4, 4, 4, 4, 2, 4, 0, 3, 0, 0, 2, 4, 2, 2, 0, 4, 2, 3, 1, 3, 1, 2, 3, 0, 1, 0, 4, 1, 0, 3, 2, 0, 0, 3, 3, 0, 2, 0, 3, 0, 2, 0, 4, 3, 2, 1, 1, 0, 4, 4, 2, 0, 1, 3, 1, 1, 4, 0, 1, 0, 1, 1, 1, 4, 1, 1, 1, 4, 3, 1, 4, 3, 1, 2, 1, 0, 4, 1, 0, 4, 1, 4, 2, 4, 1, 0, 0, 0, 2, 4, 0, 3, 3, 3, 1, 0, 0, 1, 2, 1, 1, 2, 3, 2, 1, 0, 2, 0, 4, 1, 1, 0, 0, 4, 3, 1, 2, 0, 3, 1, 1, 0, 0, 3, 1, 2, 0, 3, 4, 0, 0, 3, 4, 4, 0, 1, 1, 1, 0, 0, 3, 3, 1, 2, 1, 0, 2, 3, 2, 4, 1, 0, 1, 4, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 2, 4, 3, 3, 2, 0, 0, 0, 4, 0, 1, 2, 0, 0, 4, 3, 1, 1, 4, 2, 1, 4, 1, 3, 1, 4, 0, 4, 3, 2, 0, 4, 3, 3, 2, 3, 4, 3, 3, 0, 0, 3, 2, 1, 0, 0, 2, 2, 1, 0, 4, 2, 0, 0, 4, 2, 0, 0, 1, 1, 4, 0, 0, 2, 2, 3, 3, 2, 1, 2, 2, 1, 4, 1, 0, 2, 0, 0, 2, 3, 3, 1, 3, 4, 3, 0, 1, 4, 2, 4, 4, 1, 1, 3, 3, 2, 1, 0, 0, 1, 4, 0, 1, 2, 4, 4, 3, 2, 4, 2, 2, 0, 3, 3, 1, 2, 4, 2, 0, 2, 4, 4, 3, 3, 0, 3, 4, 4, 4, 3, 4, 0, 0, 1, 1, 2, 1, 4, 2, 0, 1, 2, 1, 3, 3, 4, 1, 3, 4, 1] pubkeycol1734 = [3, 2, 1, 2, 1, 2, 0, 4, 3, 3, 0, 0, 0, 3, 0, 1, 0, 0, 3, 3, 1, 1, 4, 0, 4, 4, 2, 1, 1, 1, 3, 2, 1, 2, 1, 1, 2, 3, 4, 0, 4, 2, 3, 4, 4, 2, 3, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 3, 1, 0, 4, 2, 1, 3, 1, 3, 1, 4, 3, 4, 3, 0, 2, 3, 0, 3, 2, 1, 0, 4, 2, 1, 1, 4, 2, 2, 4, 1, 1, 3, 1, 1, 2, 2, 1, 1, 4, 4, 4, 2, 1, 2, 0, 1, 4, 4, 3, 1, 3, 2, 3, 2, 3, 4, 1, 1, 2, 2, 3, 1, 0, 2, 2, 3, 2, 1, 0, 4, 4, 4, 0, 3, 3, 2, 2, 1, 3, 0, 2, 3, 1, 1, 0, 1, 3, 0, 1, 1, 4, 3, 0, 2, 2, 1, 4, 0, 2, 1, 3, 1, 0, 4, 1, 2, 3, 2, 4, 1, 3, 4, 1, 0, 4, 2, 3, 4, 0, 2, 0, 3, 1, 1, 2, 2, 3, 3, 3, 1, 1, 0, 0, 1, 0, 0, 3, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 3, 3, 4, 3, 2, 4, 3, 2, 3, 1, 2, 1, 1, 3, 4, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 4, 3, 0, 3, 4, 4, 0, 4, 3, 4, 4, 4, 0, 0, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 4, 4, 4, 2, 2, 3, 2, 2, 1, 1, 2, 0, 2, 3, 2, 3, 0, 2, 1, 0, 4, 2, 4, 0, 1, 1, 3, 3, 3, 1, 2, 1, 1, 4, 3, 2, 2, 1, 4, 2, 0, 4, 4, 1, 2, 4, 4, 3, 3, 4, 2, 2, 4, 1, 0, 0, 0, 0, 2, 4, 3, 2, 1, 3, 4, 0, 2, 2, 0, 2, 0, 3, 0, 2, 3, 4, 4, 0, 2, 0, 3, 1, 2, 2, 1, 2, 1, 3, 1, 1, 1, 0, 1, 0, 3, 3, 0, 0, 1, 3, 1, 2, 2, 1, 2, 3, 0, 3, 3, 3, 3, 0, 3, 4, 3, 0, 4, 1, 3, 2, 4, 2, 1, 3, 3, 4, 2, 2, 2, 1, 2, 4, 4, 4, 2, 1, 1, 4, 4, 2, 4, 2, 0] pubkeycol1735 = [3, 4, 2, 0, 1, 2, 4, 3, 3, 0, 4, 2, 1, 1, 3, 2, 1, 3, 3, 0, 1, 4, 2, 1, 3, 3, 0, 3, 1, 3, 2, 0, 1, 4, 4, 0, 3, 3, 1, 4, 4, 4, 3, 2, 2, 4, 3, 4, 3, 1, 3, 4, 2, 1, 2, 2, 1, 3, 4, 4, 2, 2, 3, 4, 0, 3, 3, 1, 3, 2, 1, 2, 0, 4, 2, 0, 2, 0, 2, 4, 3, 2, 0, 0, 4, 0, 3, 4, 3, 4, 3, 1, 2, 0, 2, 1, 4, 0, 0, 1, 0, 1, 2, 3, 2, 3, 2, 4, 2, 4, 2, 3, 1, 4, 0, 0, 1, 1, 3, 1, 1, 2, 0, 4, 1, 3, 1, 3, 4, 0, 4, 4, 4, 3, 2, 3, 4, 0, 2, 4, 3, 3, 1, 4, 2, 1, 1, 0, 4, 2, 1, 2, 2, 3, 2, 0, 0, 1, 3, 2, 4, 0, 0, 2, 0, 2, 0, 4, 2, 1, 2, 0, 4, 4, 0, 4, 1, 3, 4, 2, 3, 0, 2, 1, 4, 2, 3, 4, 3, 2, 2, 4, 1, 1, 4, 4, 1, 2, 0, 2, 0, 0, 0, 0, 3, 4, 1, 0, 2, 4, 2, 2, 0, 2, 4, 2, 2, 1, 2, 3, 1, 2, 0, 2, 2, 3, 0, 1, 1, 1, 4, 3, 3, 1, 2, 2, 0, 0, 4, 1, 1, 1, 1, 3, 4, 4, 1, 4, 4, 2, 1, 4, 4, 2, 3, 0, 1, 3, 1, 1, 3, 1, 1, 4, 2, 3, 3, 3, 4, 2, 0, 0, 4, 0, 4, 3, 4, 0, 4, 4, 3, 0, 1, 0, 3, 1, 4, 0, 2, 2, 0, 0, 0, 1, 3, 1, 2, 4, 3, 2, 3, 0, 3, 4, 0, 4, 4, 0, 1, 3, 3, 2, 3, 4, 2, 2, 0, 0, 4, 2, 1, 2, 1, 2, 2, 2, 4, 4, 1, 3, 4, 4, 3, 4, 0, 0, 4, 3, 2, 4, 2, 3, 0, 4, 2, 3, 1, 3, 0, 3, 2, 4, 0, 3, 1, 2, 4, 0, 1, 0, 4, 1, 2, 4, 4, 3, 4, 2, 4, 2, 1, 2, 2, 0, 0, 3, 3, 2, 2, 3, 2, 0, 4, 0, 4, 3, 3, 0, 0, 3, 2, 0, 4, 4, 4, 2, 4, 4, 1, 2] pubkeycol1736 = [2, 2, 0, 0, 1, 2, 3, 2, 1, 0, 1, 0, 4, 0, 4, 2, 2, 4, 1, 2, 2, 1, 4, 2, 0, 2, 2, 1, 0, 0, 0, 0, 4, 0, 2, 3, 3, 0, 3, 4, 4, 2, 0, 2, 0, 2, 1, 1, 3, 0, 1, 3, 0, 1, 2, 4, 3, 0, 0, 2, 4, 3, 2, 1, 4, 3, 1, 4, 2, 2, 1, 4, 2, 1, 3, 1, 1, 0, 2, 3, 2, 4, 4, 3, 2, 3, 3, 2, 2, 0, 3, 3, 1, 2, 3, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 4, 4, 3, 1, 3, 2, 0, 1, 3, 1, 4, 4, 1, 3, 1, 3, 1, 0, 0, 4, 4, 0, 2, 4, 1, 0, 3, 2, 3, 2, 1, 1, 1, 1, 3, 0, 0, 2, 3, 0, 1, 4, 2, 2, 1, 2, 0, 3, 4, 3, 3, 2, 4, 2, 0, 2, 4, 4, 2, 2, 4, 4, 4, 2, 2, 2, 4, 2, 3, 2, 0, 2, 0, 3, 1, 3, 1, 1, 0, 0, 4, 3, 1, 3, 2, 2, 2, 3, 0, 2, 1, 1, 3, 1, 2, 0, 3, 4, 2, 0, 1, 0, 0, 3, 2, 0, 1, 2, 4, 1, 0, 3, 3, 3, 0, 3, 3, 0, 1, 4, 4, 4, 1, 3, 2, 4, 2, 2, 0, 2, 3, 2, 2, 1, 0, 0, 1, 2, 4, 4, 3, 3, 4, 4, 2, 2, 0, 0, 3, 2, 1, 3, 1, 4, 0, 4, 4, 2, 0, 4, 0, 1, 4, 1, 3, 4, 3, 3, 1, 2, 3, 3, 4, 1, 2, 3, 0, 0, 0, 4, 3, 4, 4, 3, 2, 1, 3, 2, 0, 1, 4, 0, 3, 4, 0, 2, 3, 2, 1, 4, 3, 1, 3, 2, 2, 2, 4, 2, 4, 4, 3, 4, 1, 0, 1, 2, 3, 1, 1, 3, 3, 3, 4, 1, 2, 0, 1, 2, 2, 4, 2, 0, 4, 1, 0, 4, 0, 2, 1, 0, 1, 4, 2, 0, 4, 0, 2, 0, 2, 4, 0, 1, 1, 1, 1, 2, 1, 3, 0, 1, 1, 2, 1, 3, 1, 0, 4, 3, 2, 4, 4, 2, 0, 3, 4, 3, 1, 2, 1, 2, 2, 0, 0, 0, 2, 3, 2, 1, 1, 3, 1, 4, 3] pubkeycol1737 = [2, 3, 2, 1, 0, 4, 0, 3, 3, 0, 4, 2, 1, 0, 3, 0, 2, 4, 0, 1, 4, 3, 3, 1, 1, 3, 3, 1, 0, 3, 3, 3, 0, 4, 0, 3, 1, 3, 2, 0, 1, 0, 1, 2, 3, 2, 4, 3, 4, 0, 4, 4, 1, 1, 3, 4, 0, 1, 0, 4, 2, 3, 4, 0, 0, 0, 3, 0, 2, 3, 3, 0, 3, 0, 2, 2, 2, 1, 2, 2, 1, 4, 4, 1, 1, 2, 3, 0, 4, 2, 3, 3, 3, 2, 3, 0, 1, 4, 1, 1, 1, 3, 2, 4, 0, 1, 0, 2, 2, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 4, 3, 0, 1, 1, 2, 4, 0, 4, 3, 1, 2, 1, 2, 2, 2, 3, 0, 3, 1, 4, 2, 4, 4, 3, 0, 0, 1, 1, 1, 3, 3, 1, 0, 3, 3, 1, 2, 3, 4, 0, 1, 0, 3, 1, 2, 4, 2, 1, 3, 0, 0, 0, 2, 3, 3, 0, 1, 0, 3, 1, 1, 3, 0, 3, 1, 2, 2, 3, 1, 3, 4, 2, 3, 4, 1, 2, 2, 2, 2, 4, 1, 4, 1, 1, 4, 3, 0, 0, 4, 3, 1, 2, 4, 0, 2, 3, 0, 1, 0, 0, 1, 0, 4, 1, 1, 4, 0, 4, 2, 1, 1, 4, 1, 4, 0, 2, 1, 4, 1, 0, 3, 2, 2, 4, 0, 0, 0, 1, 2, 0, 2, 3, 1, 3, 3, 1, 0, 1, 0, 3, 4, 2, 3, 0, 3, 1, 2, 2, 3, 0, 0, 1, 4, 3, 3, 2, 3, 2, 0, 1, 3, 2, 4, 2, 1, 2, 1, 2, 0, 3, 1, 3, 0, 0, 0, 4, 2, 4, 1, 0, 4, 0, 3, 0, 2, 0, 4, 3, 1, 0, 1, 1, 3, 3, 2, 2, 1, 3, 3, 2, 1, 1, 0, 0, 2, 0, 4, 1, 2, 0, 0, 3, 1, 0, 4, 3, 3, 0, 3, 1, 3, 0, 2, 1, 1, 2, 1, 4, 4, 0, 1, 2, 4, 2, 4, 1, 4, 2, 3, 0, 2, 1, 4, 3, 1, 1, 4, 3, 2, 3, 1, 2, 4, 4, 0, 4, 3, 1, 4, 3, 2, 1, 3, 0, 0, 4, 2, 4, 3, 4, 4, 1, 3, 0, 2, 2] pubkeycol1738 = [0, 4, 1, 0, 3, 3, 4, 1, 3, 1, 1, 1, 1, 1, 3, 0, 0, 4, 0, 2, 4, 0, 4, 4, 4, 2, 4, 1, 1, 3, 0, 0, 1, 3, 2, 1, 0, 1, 3, 3, 2, 0, 4, 1, 0, 0, 3, 2, 2, 4, 4, 2, 2, 3, 0, 0, 0, 4, 4, 2, 4, 0, 2, 4, 1, 4, 0, 3, 0, 1, 1, 4, 1, 1, 0, 3, 2, 4, 0, 3, 1, 0, 1, 3, 1, 1, 0, 0, 1, 2, 0, 0, 4, 3, 3, 2, 1, 2, 0, 0, 3, 0, 0, 1, 2, 0, 0, 1, 3, 3, 0, 4, 1, 3, 4, 0, 0, 4, 2, 1, 2, 4, 1, 2, 3, 3, 3, 2, 3, 1, 0, 1, 4, 3, 4, 4, 0, 0, 3, 4, 1, 1, 3, 4, 0, 4, 4, 3, 2, 3, 3, 2, 2, 2, 1, 4, 4, 2, 3, 3, 4, 1, 3, 0, 1, 4, 2, 0, 0, 0, 4, 1, 3, 3, 0, 1, 3, 2, 4, 0, 0, 2, 3, 0, 1, 3, 3, 4, 2, 4, 2, 4, 4, 1, 1, 3, 4, 0, 4, 3, 3, 3, 2, 2, 0, 4, 2, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 1, 2, 4, 2, 2, 4, 2, 0, 3, 1, 0, 4, 2, 0, 0, 3, 2, 1, 4, 4, 2, 4, 2, 0, 4, 2, 4, 2, 0, 3, 3, 1, 1, 4, 1, 2, 0, 2, 2, 2, 2, 0, 3, 4, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 1, 2, 1, 2, 2, 2, 4, 0, 1, 3, 1, 1, 3, 2, 4, 3, 2, 0, 0, 0, 3, 1, 1, 1, 3, 3, 2, 3, 1, 2, 3, 2, 2, 4, 1, 0, 4, 1, 0, 0, 3, 0, 2, 3, 4, 4, 4, 4, 3, 0, 0, 0, 2, 3, 0, 2, 2, 3, 1, 0, 1, 0, 2, 0, 1, 3, 3, 1, 0, 2, 4, 0, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 1, 4, 3, 3, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 3, 0, 3, 4, 2, 3, 2, 0, 0, 2, 4, 3, 3, 1, 2, 4, 4, 4, 3, 4, 1, 2, 2, 0, 1, 3, 4] pubkeycol1739 = [3, 1, 4, 0, 4, 0, 3, 2, 2, 2, 2, 4, 0, 2, 1, 1, 2, 3, 0, 0, 2, 2, 3, 4, 2, 2, 1, 0, 0, 2, 4, 2, 0, 2, 4, 3, 4, 3, 0, 3, 4, 2, 4, 2, 0, 4, 1, 3, 2, 0, 4, 2, 0, 2, 2, 2, 0, 2, 4, 1, 0, 2, 0, 3, 4, 0, 2, 2, 1, 0, 2, 0, 2, 3, 3, 0, 0, 3, 0, 4, 1, 1, 3, 4, 3, 1, 1, 1, 0, 4, 2, 2, 4, 2, 4, 2, 1, 3, 0, 4, 0, 2, 1, 4, 1, 2, 1, 1, 1, 3, 4, 4, 2, 0, 2, 2, 2, 3, 0, 3, 2, 2, 2, 3, 2, 1, 2, 0, 3, 0, 3, 1, 2, 4, 1, 2, 3, 4, 4, 4, 2, 1, 2, 3, 3, 1, 0, 2, 0, 2, 3, 1, 3, 4, 4, 1, 1, 0, 2, 0, 0, 3, 0, 4, 4, 3, 1, 0, 0, 1, 3, 0, 2, 0, 2, 2, 3, 2, 0, 0, 3, 1, 2, 3, 4, 0, 4, 4, 1, 3, 1, 3, 2, 4, 0, 2, 1, 2, 3, 3, 2, 0, 3, 2, 0, 2, 1, 0, 2, 0, 4, 2, 1, 1, 0, 0, 3, 3, 3, 3, 4, 2, 3, 3, 1, 3, 3, 0, 4, 0, 2, 0, 4, 3, 1, 4, 0, 3, 2, 1, 0, 3, 0, 0, 3, 0, 3, 3, 2, 4, 1, 4, 4, 1, 1, 3, 2, 1, 2, 3, 1, 1, 0, 2, 4, 3, 1, 4, 3, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 4, 2, 2, 2, 3, 0, 0, 1, 4, 1, 3, 2, 2, 3, 1, 2, 4, 2, 3, 3, 3, 3, 1, 3, 4, 2, 3, 2, 0, 3, 0, 2, 3, 0, 2, 2, 4, 1, 4, 0, 1, 0, 1, 1, 0, 3, 1, 3, 2, 3, 3, 2, 1, 0, 0, 4, 2, 2, 0, 2, 3, 1, 4, 0, 3, 2, 1, 0, 0, 0, 4, 3, 0, 3, 2, 0, 2, 4, 3, 1, 0, 0, 2, 4, 1, 0, 0, 4, 1, 1, 3, 2, 0, 1, 1, 4, 2, 3, 2, 1, 4, 4, 2, 0, 3, 4, 2, 0, 1, 1, 3, 1, 3, 1, 4, 2, 3, 0, 4, 0, 3]