kilobytes = 103.942562372692 q = 5 m = 5 n = 1466 s = 0 t = 16 u = 64 k = 1146 w = 40 ciphertext = [4, 3, 3, 2, 0, 4, 2, 4, 3, 2, 3, 1, 1, 0, 1, 2, 3, 0, 1, 2, 1, 1, 0, 3, 0, 4, 1, 3, 3, 1, 0, 4, 4, 0, 2, 1, 2, 3, 1, 3, 4, 0, 1, 0, 0, 4, 0, 2, 2, 2, 0, 0, 4, 0, 0, 2, 4, 0, 0, 1, 0, 4, 0, 2, 0, 1, 2, 1, 4, 4, 0, 4, 2, 3, 1, 2, 4, 3, 3, 2, 0, 4, 4, 0, 2, 0, 1, 0, 4, 1, 2, 0, 0, 4, 1, 3, 2, 0, 3, 4, 0, 4, 2, 1, 1, 1, 2, 3, 0, 3, 0, 2, 1, 3, 1, 2, 2, 4, 0, 1, 0, 4, 1, 0, 0, 2, 0, 2, 0, 4, 2, 0, 0, 1, 4, 4, 2, 1, 2, 4, 4, 0, 1, 2, 1, 4, 3, 1, 1, 1, 1, 3, 1, 4, 3, 2, 2, 4, 2, 3, 3, 1, 2, 0, 0, 2, 4, 3, 3, 2, 2, 1, 3, 2, 4, 0, 1, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 3, 0, 4, 1, 2, 2, 4, 2, 4, 4, 3, 0, 2, 2, 0, 1, 2, 0, 4, 3, 3, 3, 1, 3, 4, 3, 4, 1, 3, 0, 2, 3, 3, 4, 3, 4, 1, 4, 2, 4, 0, 0, 1, 3, 1, 1, 4, 1, 4, 0, 1, 4, 1, 1, 2, 3, 0, 3, 2, 1, 1, 4, 1, 3, 2, 0, 2, 3, 2, 2, 3, 2, 0, 3, 2, 4, 3, 1, 1, 3, 3, 4, 2, 2, 1, 4, 2, 1, 0, 4, 3, 3, 0, 4, 4, 2, 2, 3, 3, 1, 1, 0, 2, 4, 1, 3, 1, 4, 1, 3, 2, 0, 4, 2, 0, 1, 0, 4, 2, 0, 0, 1, 4, 3, 0, 1, 0, 3, 2, 2, 1, 3, 3] recovered_plaintext_using_secret_key = True pubkeycol320 = [2, 0, 3, 3, 2, 0, 2, 2, 2, 4, 1, 1, 4, 0, 2, 4, 1, 1, 3, 4, 4, 0, 3, 0, 0, 0, 4, 2, 2, 4, 3, 1, 3, 4, 4, 0, 3, 4, 2, 1, 2, 2, 2, 1, 3, 4, 4, 1, 1, 2, 4, 2, 3, 3, 2, 2, 2, 3, 3, 0, 1, 2, 1, 1, 4, 3, 3, 0, 0, 4, 2, 4, 3, 1, 4, 2, 2, 1, 3, 4, 1, 0, 0, 0, 0, 3, 4, 0, 0, 3, 2, 3, 3, 3, 1, 4, 3, 0, 4, 0, 2, 2, 1, 2, 0, 3, 3, 0, 2, 1, 2, 4, 2, 3, 0, 0, 4, 1, 2, 3, 0, 0, 3, 4, 1, 2, 3, 3, 0, 2, 0, 3, 4, 1, 0, 3, 3, 1, 3, 2, 1, 1, 0, 0, 4, 3, 1, 1, 4, 4, 3, 4, 2, 4, 2, 1, 3, 2, 3, 3, 3, 0, 1, 1, 3, 2, 1, 3, 0, 2, 0, 0, 2, 0, 2, 4, 3, 4, 1, 4, 3, 2, 2, 3, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 4, 2, 3, 4, 2, 3, 1, 2, 0, 3, 3, 0, 1, 4, 0, 0, 0, 4, 0, 3, 3, 1, 2, 3, 4, 2, 3, 0, 1, 0, 2, 2, 1, 0, 4, 1, 2, 0, 4, 4, 2, 4, 1, 4, 1, 3, 0, 0, 2, 1, 3, 2, 3, 3, 2, 1, 3, 0, 1, 1, 2, 3, 3, 1, 2, 4, 3, 4, 3, 4, 3, 3, 0, 3, 0, 3, 3, 3, 1, 3, 1, 4, 4, 2, 2, 2, 2, 1, 0, 0, 4, 0, 3, 0, 3, 0, 0, 4, 0, 4, 3, 3, 3, 2, 0, 0, 1, 1, 4, 3, 2, 3, 4, 4, 3, 3, 1, 0, 1, 3, 4, 4, 1, 0, 1] pubkeycol321 = [4, 3, 1, 3, 3, 0, 1, 4, 4, 4, 1, 1, 3, 3, 4, 4, 1, 0, 1, 3, 3, 4, 4, 4, 1, 4, 3, 2, 3, 3, 0, 4, 2, 3, 3, 1, 1, 4, 1, 2, 1, 1, 4, 2, 4, 0, 4, 0, 1, 2, 1, 2, 2, 4, 3, 1, 4, 1, 1, 0, 1, 1, 3, 4, 0, 3, 3, 3, 0, 0, 0, 1, 4, 4, 3, 3, 2, 0, 3, 1, 2, 1, 4, 3, 3, 1, 0, 4, 3, 1, 4, 4, 0, 1, 3, 4, 2, 1, 1, 2, 4, 3, 3, 1, 1, 0, 1, 0, 0, 2, 3, 0, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 0, 4, 2, 2, 1, 3, 4, 4, 1, 1, 1, 2, 0, 0, 4, 2, 1, 3, 1, 1, 1, 3, 4, 4, 4, 0, 4, 2, 2, 1, 3, 3, 2, 3, 3, 0, 4, 4, 1, 4, 0, 1, 2, 4, 4, 0, 1, 2, 4, 2, 0, 4, 0, 1, 0, 3, 4, 0, 3, 0, 3, 0, 1, 1, 1, 3, 4, 3, 0, 0, 4, 2, 3, 4, 0, 2, 2, 4, 4, 4, 2, 1, 2, 1, 1, 4, 3, 0, 1, 3, 1, 3, 2, 0, 1, 1, 3, 2, 2, 1, 1, 2, 2, 1, 4, 3, 3, 4, 4, 1, 1, 3, 3, 1, 1, 0, 2, 3, 1, 1, 0, 1, 4, 3, 4, 3, 0, 4, 2, 1, 3, 3, 4, 0, 4, 1, 4, 2, 3, 2, 1, 2, 1, 0, 1, 0, 0, 0, 3, 4, 0, 2, 1, 4, 2, 3, 4, 3, 2, 0, 3, 0, 1, 2, 1, 3, 1, 3, 3, 2, 4, 2, 2, 1, 2, 4, 1, 3, 0, 4, 0, 3, 4, 4, 3, 2, 3, 0, 2, 0, 3, 1, 0, 1, 2, 2, 2, 1] pubkeycol322 = [1, 2, 4, 2, 2, 2, 4, 3, 4, 2, 4, 4, 4, 4, 4, 1, 3, 0, 1, 0, 2, 1, 1, 0, 3, 4, 2, 4, 0, 4, 4, 3, 4, 3, 4, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 4, 2, 4, 0, 3, 2, 4, 0, 3, 0, 4, 4, 2, 4, 0, 0, 0, 1, 1, 0, 4, 2, 3, 4, 0, 4, 2, 4, 2, 2, 1, 3, 4, 4, 3, 3, 0, 4, 1, 3, 2, 1, 0, 3, 3, 3, 2, 0, 1, 0, 0, 4, 1, 0, 3, 3, 0, 0, 2, 3, 4, 2, 0, 3, 0, 2, 3, 4, 4, 3, 0, 0, 1, 0, 2, 4, 1, 3, 0, 2, 1, 2, 0, 2, 3, 1, 2, 2, 4, 3, 3, 4, 4, 4, 1, 0, 1, 3, 2, 4, 4, 4, 0, 2, 1, 2, 4, 1, 4, 4, 0, 4, 3, 1, 4, 2, 0, 0, 1, 3, 0, 2, 3, 3, 4, 2, 2, 4, 0, 4, 2, 1, 3, 4, 0, 1, 2, 1, 3, 4, 3, 1, 0, 2, 4, 4, 4, 0, 4, 3, 1, 3, 0, 4, 1, 4, 3, 2, 2, 3, 1, 2, 3, 2, 2, 3, 4, 4, 0, 0, 4, 0, 3, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 4, 2, 3, 4, 3, 4, 2, 3, 4, 4, 4, 3, 3, 3, 3, 0, 2, 4, 1, 2, 4, 3, 3, 2, 3, 1, 4, 0, 2, 2, 2, 1, 1, 4, 1, 4, 2, 1, 0, 0, 0, 0, 3, 4, 4, 3, 3, 2, 1, 4, 0, 2, 1, 4, 4, 4, 1, 4, 2, 4, 0, 1, 0, 3, 1, 3, 4, 0, 2, 1, 4, 0, 2, 4, 4, 3, 4, 3, 3, 4, 0, 1, 1, 4, 4, 2, 4, 0, 1, 3] pubkeycol323 = [3, 4, 4, 1, 0, 4, 3, 2, 3, 0, 1, 3, 2, 1, 0, 4, 2, 4, 4, 0, 3, 2, 0, 3, 3, 2, 2, 3, 3, 3, 4, 4, 0, 3, 0, 0, 2, 4, 1, 0, 1, 2, 4, 1, 3, 2, 4, 1, 1, 1, 2, 2, 3, 1, 4, 1, 2, 1, 1, 3, 4, 4, 2, 1, 0, 3, 4, 4, 3, 0, 4, 4, 0, 1, 4, 4, 2, 0, 2, 0, 3, 4, 4, 4, 1, 3, 4, 3, 2, 4, 0, 4, 4, 1, 4, 4, 2, 4, 3, 3, 0, 2, 3, 4, 2, 4, 3, 1, 2, 4, 0, 4, 2, 3, 3, 2, 4, 0, 3, 3, 3, 3, 0, 1, 1, 0, 2, 3, 1, 3, 0, 3, 2, 0, 4, 3, 4, 2, 3, 3, 3, 4, 3, 3, 1, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 3, 4, 2, 1, 2, 1, 3, 0, 2, 3, 0, 0, 4, 1, 2, 3, 4, 4, 2, 0, 3, 1, 2, 3, 1, 0, 0, 1, 2, 0, 1, 4, 2, 1, 4, 3, 4, 1, 4, 3, 1, 1, 2, 1, 1, 4, 3, 3, 4, 2, 3, 2, 3, 1, 1, 0, 1, 0, 3, 1, 1, 2, 2, 3, 3, 0, 2, 4, 3, 4, 2, 0, 4, 0, 1, 1, 0, 3, 2, 1, 3, 1, 2, 2, 1, 1, 3, 0, 2, 4, 2, 3, 2, 0, 4, 2, 0, 0, 3, 2, 2, 3, 0, 0, 1, 3, 2, 3, 2, 1, 1, 1, 4, 1, 1, 3, 3, 3, 1, 2, 3, 4, 0, 0, 0, 4, 1, 3, 4, 0, 0, 4, 0, 1, 1, 2, 3, 0, 3, 4, 2, 4, 1, 1, 0, 2, 3, 0, 2, 4, 2, 3, 1, 3, 4, 1, 0, 3, 1, 0, 1, 1] pubkeycol324 = [0, 1, 3, 1, 3, 2, 1, 3, 3, 3, 3, 3, 0, 0, 3, 4, 3, 4, 1, 1, 0, 2, 0, 4, 4, 2, 3, 2, 3, 0, 3, 3, 2, 4, 2, 4, 4, 0, 3, 4, 1, 3, 3, 2, 3, 0, 4, 2, 2, 2, 4, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 1, 0, 2, 3, 1, 3, 0, 3, 4, 3, 0, 0, 0, 3, 2, 4, 4, 4, 3, 2, 0, 0, 4, 1, 1, 2, 2, 2, 1, 2, 1, 3, 0, 1, 3, 4, 4, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 4, 2, 0, 1, 3, 4, 3, 1, 1, 1, 1, 4, 0, 1, 4, 1, 3, 1, 1, 4, 2, 0, 0, 1, 4, 0, 3, 4, 3, 2, 0, 1, 2, 2, 4, 3, 3, 3, 0, 0, 1, 2, 3, 4, 0, 3, 2, 2, 1, 0, 1, 0, 4, 3, 2, 3, 3, 2, 2, 1, 1, 2, 4, 0, 1, 2, 4, 4, 1, 1, 1, 2, 0, 2, 2, 4, 2, 1, 4, 2, 0, 2, 3, 4, 0, 3, 1, 3, 1, 0, 1, 3, 0, 0, 0, 3, 3, 4, 1, 3, 4, 0, 2, 4, 3, 2, 0, 2, 2, 2, 3, 1, 4, 0, 3, 4, 0, 1, 2, 2, 4, 4, 2, 4, 1, 1, 4, 0, 4, 1, 4, 0, 0, 2, 2, 3, 1, 1, 1, 3, 3, 1, 4, 1, 1, 0, 1, 4, 3, 4, 4, 3, 3, 3, 0, 2, 3, 2, 4, 2, 3, 0, 2, 1, 3, 1, 4, 1, 1, 4, 3, 1, 3, 1, 0, 1, 3, 1, 4, 0, 0, 3, 1, 1, 3, 4, 2, 1, 2, 2, 1, 3, 1, 0, 0, 2, 2, 4, 2, 1, 0, 2, 0, 2, 0, 0, 4, 4, 4, 1] pubkeycol325 = [3, 3, 2, 4, 1, 1, 4, 1, 3, 4, 2, 0, 0, 3, 0, 2, 1, 2, 0, 3, 0, 0, 3, 3, 4, 3, 4, 3, 3, 0, 1, 1, 3, 3, 4, 4, 2, 2, 2, 3, 2, 4, 0, 1, 0, 0, 4, 4, 4, 4, 0, 0, 1, 2, 1, 0, 3, 2, 2, 0, 0, 2, 1, 0, 3, 0, 4, 4, 3, 0, 2, 0, 1, 4, 0, 3, 3, 4, 1, 3, 1, 3, 0, 1, 0, 2, 2, 1, 0, 3, 0, 2, 3, 0, 2, 2, 1, 1, 3, 2, 1, 2, 3, 2, 0, 2, 3, 2, 1, 4, 4, 2, 1, 4, 4, 2, 0, 0, 1, 3, 3, 0, 1, 4, 0, 4, 2, 0, 2, 3, 4, 1, 2, 3, 3, 4, 4, 3, 0, 0, 2, 3, 2, 0, 0, 0, 2, 2, 4, 3, 2, 1, 2, 1, 4, 2, 4, 4, 2, 2, 2, 3, 1, 4, 1, 4, 4, 1, 1, 3, 0, 3, 4, 3, 4, 2, 1, 4, 0, 2, 0, 4, 0, 2, 3, 2, 4, 1, 0, 1, 0, 3, 2, 2, 3, 0, 0, 1, 2, 2, 2, 4, 3, 3, 2, 1, 1, 2, 0, 4, 3, 4, 3, 2, 1, 4, 3, 4, 2, 2, 2, 1, 4, 1, 1, 1, 3, 4, 4, 0, 4, 4, 0, 2, 0, 2, 2, 0, 0, 4, 3, 2, 0, 1, 4, 2, 0, 2, 3, 0, 2, 4, 0, 2, 2, 4, 3, 1, 0, 1, 1, 4, 0, 4, 3, 0, 4, 3, 1, 0, 1, 0, 2, 2, 4, 1, 3, 3, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 4, 3, 1, 4, 3, 3, 1, 1, 3, 3, 4, 2, 1, 3, 2, 1, 4, 4, 2, 0, 0, 1, 0, 3, 2, 4, 3, 2, 4, 1, 3] pubkeycol326 = [1, 4, 1, 2, 2, 2, 4, 2, 4, 2, 1, 1, 2, 4, 0, 3, 4, 3, 3, 2, 3, 2, 3, 1, 0, 2, 4, 1, 4, 0, 2, 1, 1, 1, 4, 0, 3, 3, 1, 3, 0, 4, 3, 4, 4, 2, 2, 3, 2, 3, 3, 2, 3, 2, 0, 2, 0, 3, 0, 3, 1, 2, 2, 2, 0, 4, 4, 1, 4, 1, 2, 0, 3, 3, 1, 2, 1, 3, 3, 3, 3, 0, 4, 2, 2, 4, 2, 4, 1, 3, 2, 2, 1, 3, 1, 4, 4, 3, 3, 3, 3, 0, 2, 4, 3, 3, 4, 4, 2, 3, 4, 1, 3, 0, 2, 3, 4, 4, 4, 2, 3, 4, 4, 0, 2, 4, 2, 0, 3, 4, 4, 3, 2, 0, 4, 0, 4, 4, 3, 4, 3, 2, 3, 4, 3, 1, 3, 3, 3, 3, 4, 4, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 4, 2, 1, 3, 2, 2, 3, 0, 4, 2, 0, 4, 2, 3, 2, 0, 3, 1, 2, 4, 1, 3, 3, 0, 0, 0, 0, 4, 3, 2, 1, 2, 0, 4, 1, 2, 0, 2, 3, 2, 0, 2, 4, 4, 3, 4, 4, 2, 4, 1, 0, 3, 4, 2, 3, 4, 0, 1, 1, 1, 3, 4, 2, 3, 4, 2, 2, 1, 0, 4, 3, 2, 3, 2, 4, 4, 4, 1, 3, 3, 2, 1, 4, 1, 0, 1, 4, 2, 1, 1, 1, 4, 3, 1, 0, 3, 2, 2, 0, 3, 4, 1, 2, 4, 2, 3, 4, 0, 1, 1, 0, 1, 3, 1, 1, 4, 2, 0, 3, 2, 2, 4, 3, 3, 2, 3, 3, 4, 4, 3, 2, 3, 4, 1, 0, 2, 2, 2, 4, 2, 0, 0, 3, 0, 1, 4, 0, 2, 0, 3, 4, 4, 4, 1, 3, 3, 4, 4] pubkeycol327 = [3, 0, 3, 0, 1, 0, 4, 1, 0, 4, 3, 1, 4, 0, 0, 1, 1, 2, 1, 4, 4, 2, 2, 0, 2, 4, 0, 3, 2, 1, 0, 0, 1, 4, 0, 0, 3, 3, 1, 2, 1, 3, 4, 1, 4, 2, 1, 4, 2, 1, 0, 4, 0, 2, 1, 4, 1, 0, 2, 1, 3, 1, 2, 3, 2, 0, 0, 0, 4, 0, 3, 0, 1, 4, 2, 3, 3, 2, 4, 3, 1, 4, 3, 0, 0, 1, 2, 4, 1, 4, 1, 3, 2, 0, 0, 3, 0, 4, 1, 2, 0, 3, 0, 1, 2, 1, 3, 0, 3, 0, 1, 2, 4, 1, 0, 1, 1, 0, 3, 3, 3, 3, 1, 0, 0, 1, 1, 0, 2, 3, 0, 3, 2, 1, 4, 2, 1, 1, 3, 2, 3, 2, 3, 3, 4, 2, 0, 0, 4, 3, 2, 3, 3, 2, 2, 2, 4, 0, 3, 4, 3, 3, 2, 3, 4, 4, 1, 1, 4, 2, 4, 4, 0, 4, 0, 3, 3, 0, 4, 1, 3, 2, 2, 3, 2, 4, 3, 2, 2, 0, 2, 1, 4, 2, 0, 0, 0, 3, 3, 4, 1, 0, 1, 4, 1, 4, 0, 2, 3, 4, 0, 2, 4, 4, 4, 3, 1, 1, 0, 0, 4, 2, 0, 1, 2, 2, 2, 3, 2, 0, 4, 2, 1, 4, 1, 1, 2, 3, 2, 0, 3, 4, 0, 0, 2, 0, 0, 3, 4, 0, 0, 2, 1, 3, 2, 0, 3, 3, 0, 0, 3, 1, 3, 2, 4, 2, 2, 2, 0, 1, 0, 4, 1, 2, 2, 4, 0, 2, 3, 2, 1, 0, 4, 0, 3, 2, 2, 4, 4, 4, 4, 1, 2, 3, 2, 4, 3, 2, 0, 2, 2, 0, 3, 0, 0, 2, 0, 1, 2, 4, 1, 1, 2, 0, 4, 3, 0, 0, 1, 4] pubkeycol328 = [4, 4, 2, 0, 1, 4, 4, 0, 3, 4, 2, 1, 3, 2, 0, 1, 1, 2, 0, 2, 4, 0, 0, 2, 0, 2, 0, 3, 1, 4, 1, 3, 0, 3, 2, 2, 3, 4, 1, 0, 3, 2, 4, 2, 4, 3, 3, 3, 1, 4, 0, 3, 2, 2, 4, 4, 4, 0, 4, 2, 1, 3, 2, 2, 0, 0, 1, 2, 0, 2, 4, 0, 2, 1, 0, 2, 4, 1, 1, 1, 2, 0, 2, 2, 2, 2, 4, 2, 4, 0, 3, 4, 0, 1, 2, 3, 2, 2, 1, 3, 4, 0, 0, 1, 4, 2, 2, 1, 3, 1, 2, 4, 2, 4, 0, 4, 4, 0, 1, 0, 0, 4, 3, 1, 1, 1, 3, 2, 1, 1, 3, 3, 3, 3, 0, 3, 4, 3, 0, 3, 3, 4, 4, 0, 4, 0, 0, 4, 3, 3, 1, 4, 4, 2, 0, 1, 1, 1, 3, 0, 1, 4, 1, 2, 2, 1, 1, 4, 3, 1, 4, 0, 2, 2, 3, 0, 0, 1, 1, 1, 2, 3, 1, 3, 3, 3, 1, 3, 4, 0, 0, 4, 3, 1, 2, 4, 1, 3, 1, 1, 3, 2, 2, 0, 1, 3, 4, 4, 1, 1, 1, 0, 1, 1, 0, 3, 2, 2, 0, 3, 4, 1, 3, 4, 3, 3, 3, 3, 3, 3, 2, 4, 1, 0, 1, 2, 0, 0, 0, 3, 2, 1, 1, 1, 3, 0, 2, 4, 3, 1, 3, 1, 0, 0, 3, 3, 1, 3, 1, 0, 1, 4, 2, 0, 1, 1, 0, 2, 3, 2, 2, 2, 2, 4, 3, 2, 3, 2, 2, 3, 2, 2, 0, 2, 3, 2, 0, 0, 0, 2, 1, 1, 3, 2, 2, 0, 1, 3, 3, 3, 0, 2, 4, 3, 0, 2, 1, 3, 2, 3, 0, 0, 1, 2, 3, 1, 2, 2, 0, 2] pubkeycol329 = [4, 1, 1, 4, 4, 2, 3, 3, 4, 3, 0, 4, 3, 0, 4, 0, 2, 1, 3, 2, 0, 1, 0, 0, 0, 0, 1, 1, 3, 0, 0, 3, 4, 2, 1, 2, 0, 3, 0, 1, 3, 1, 3, 4, 4, 0, 0, 1, 0, 4, 0, 2, 3, 4, 1, 2, 4, 2, 2, 4, 2, 0, 2, 1, 4, 3, 4, 1, 3, 4, 1, 1, 0, 4, 2, 2, 1, 0, 2, 0, 4, 3, 2, 1, 4, 1, 1, 3, 1, 1, 2, 2, 2, 3, 3, 4, 4, 2, 4, 4, 4, 4, 0, 2, 2, 2, 0, 3, 2, 2, 0, 4, 4, 3, 1, 2, 3, 4, 1, 1, 1, 0, 0, 4, 1, 2, 0, 4, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 4, 4, 4, 1, 4, 4, 0, 1, 2, 4, 4, 2, 1, 0, 0, 0, 4, 4, 3, 3, 4, 0, 3, 1, 1, 4, 2, 4, 3, 4, 3, 2, 0, 0, 0, 0, 2, 2, 2, 4, 2, 1, 2, 2, 0, 4, 3, 4, 1, 2, 1, 0, 1, 2, 3, 0, 3, 0, 3, 2, 3, 4, 1, 3, 1, 0, 3, 1, 1, 3, 4, 2, 1, 3, 2, 1, 2, 4, 4, 1, 3, 0, 4, 3, 3, 0, 3, 4, 3, 2, 3, 2, 2, 1, 4, 1, 0, 1, 4, 3, 0, 3, 2, 4, 4, 0, 2, 2, 1, 3, 4, 0, 0, 0, 0, 1, 2, 4, 2, 1, 3, 3, 0, 4, 3, 1, 2, 2, 4, 3, 1, 0, 3, 1, 4, 3, 4, 4, 2, 2, 4, 1, 3, 3, 3, 4, 0, 1, 4, 4, 0, 0, 4, 4, 4, 1, 2, 0, 3, 4, 0, 3, 0, 2, 2, 1, 4, 3, 3, 1, 3, 3, 3, 3, 0, 1, 1, 0, 2, 3, 1, 0] pubkeycol330 = [1, 3, 4, 4, 3, 4, 0, 2, 1, 3, 0, 3, 0, 2, 4, 1, 0, 1, 3, 2, 1, 2, 1, 2, 4, 1, 2, 4, 2, 2, 4, 4, 0, 2, 2, 3, 0, 4, 1, 4, 1, 4, 1, 2, 1, 2, 1, 2, 4, 4, 2, 2, 3, 1, 3, 0, 2, 0, 3, 0, 0, 1, 0, 2, 1, 3, 4, 2, 2, 3, 2, 4, 0, 0, 0, 2, 0, 2, 4, 0, 3, 3, 4, 0, 1, 4, 3, 0, 1, 1, 3, 4, 3, 4, 4, 0, 0, 1, 1, 4, 1, 3, 0, 4, 3, 3, 4, 1, 3, 4, 1, 4, 0, 0, 1, 1, 4, 0, 4, 4, 2, 3, 3, 3, 1, 0, 1, 4, 3, 4, 3, 4, 3, 3, 2, 0, 3, 1, 0, 4, 3, 3, 0, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 3, 3, 1, 0, 4, 0, 0, 2, 1, 0, 0, 4, 3, 2, 0, 3, 3, 0, 3, 3, 4, 1, 0, 3, 4, 4, 2, 4, 2, 1, 0, 3, 1, 4, 3, 1, 2, 3, 3, 3, 2, 3, 2, 4, 3, 4, 4, 3, 3, 2, 2, 0, 4, 1, 4, 2, 0, 1, 1, 1, 3, 0, 3, 1, 3, 4, 1, 2, 3, 0, 0, 0, 2, 2, 3, 1, 2, 2, 3, 4, 0, 4, 0, 3, 0, 4, 0, 1, 2, 3, 1, 4, 1, 2, 2, 1, 0, 1, 1, 2, 3, 0, 2, 4, 2, 3, 4, 4, 4, 2, 1, 0, 1, 4, 0, 4, 3, 0, 3, 4, 0, 1, 4, 0, 4, 3, 0, 3, 3, 0, 2, 2, 1, 2, 3, 4, 4, 0, 3, 4, 2, 2, 2, 1, 2, 0, 0, 1, 3, 2, 0, 3, 0, 3, 0, 1, 0, 4, 0, 1, 1, 1, 1, 3, 0, 0] pubkeycol331 = [4, 0, 1, 4, 1, 1, 2, 2, 4, 1, 0, 4, 3, 2, 0, 3, 1, 0, 3, 1, 2, 3, 1, 1, 2, 2, 4, 4, 2, 3, 1, 3, 0, 2, 4, 1, 0, 2, 4, 0, 1, 0, 2, 1, 3, 1, 1, 3, 4, 1, 4, 2, 0, 4, 2, 1, 4, 2, 3, 0, 3, 1, 2, 0, 4, 0, 2, 0, 3, 4, 1, 0, 1, 4, 4, 1, 1, 3, 3, 3, 2, 2, 0, 0, 0, 3, 4, 4, 3, 1, 4, 0, 3, 1, 2, 4, 4, 2, 1, 4, 0, 0, 1, 2, 0, 2, 4, 3, 1, 3, 0, 1, 4, 1, 4, 2, 2, 1, 3, 2, 3, 3, 3, 0, 4, 3, 1, 1, 3, 2, 0, 4, 0, 2, 1, 3, 4, 0, 2, 0, 0, 2, 1, 1, 2, 3, 3, 4, 3, 2, 0, 0, 3, 0, 2, 3, 4, 0, 3, 4, 4, 0, 3, 1, 2, 2, 1, 3, 4, 1, 0, 0, 3, 4, 3, 4, 1, 3, 0, 1, 3, 0, 1, 2, 0, 3, 2, 4, 0, 2, 0, 0, 0, 2, 2, 3, 4, 2, 4, 2, 3, 0, 2, 2, 3, 0, 0, 3, 2, 2, 4, 3, 2, 4, 3, 0, 2, 3, 2, 2, 0, 2, 3, 3, 1, 2, 4, 4, 2, 1, 4, 4, 2, 1, 4, 0, 4, 1, 3, 3, 4, 4, 1, 4, 2, 4, 4, 1, 2, 0, 4, 4, 1, 4, 0, 1, 1, 4, 3, 0, 2, 3, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 4, 0, 4, 2, 4, 0, 0, 3, 1, 1, 3, 1, 4, 4, 4, 4, 2, 3, 4, 1, 2, 1, 0, 0, 2, 4, 1, 2, 2, 4, 2, 2, 3, 4, 1, 3, 0, 4, 3, 4, 0, 3, 1, 0, 2, 2, 2] pubkeycol332 = [3, 0, 4, 4, 3, 4, 4, 1, 4, 0, 1, 0, 0, 1, 0, 2, 0, 2, 4, 3, 0, 1, 1, 2, 1, 3, 2, 4, 2, 3, 0, 4, 3, 3, 4, 3, 1, 3, 0, 1, 4, 0, 4, 4, 4, 3, 1, 3, 4, 2, 3, 3, 0, 2, 0, 1, 0, 1, 4, 3, 3, 3, 3, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 3, 3, 1, 1, 1, 0, 3, 4, 2, 1, 1, 0, 2, 1, 0, 4, 3, 0, 0, 0, 0, 3, 2, 3, 1, 1, 3, 0, 0, 1, 4, 3, 0, 0, 2, 3, 2, 4, 1, 1, 0, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 4, 4, 0, 3, 4, 2, 2, 1, 1, 0, 0, 1, 4, 4, 1, 4, 4, 3, 2, 0, 1, 3, 4, 1, 2, 1, 0, 2, 3, 4, 4, 2, 2, 1, 1, 2, 2, 0, 0, 2, 3, 1, 1, 4, 3, 1, 0, 4, 4, 0, 2, 1, 4, 3, 3, 0, 1, 4, 1, 3, 1, 1, 1, 3, 3, 0, 2, 3, 3, 2, 3, 1, 3, 1, 3, 0, 2, 3, 1, 0, 0, 2, 4, 3, 1, 1, 3, 2, 4, 1, 1, 4, 4, 2, 3, 3, 2, 1, 0, 2, 4, 2, 2, 3, 2, 4, 3, 1, 3, 0, 0, 2, 3, 2, 2, 1, 2, 4, 1, 3, 3, 0, 2, 4, 3, 0, 2, 3, 3, 2, 0, 4, 3, 0, 1, 2, 1, 0, 0, 4, 3, 0, 3, 0, 4, 4, 4, 4, 2, 0, 1, 2, 1, 0, 3, 3, 2, 3, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 3, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 0, 0, 0, 0, 4, 4, 3, 1, 2, 0, 0, 1, 3, 0, 1, 3] pubkeycol333 = [0, 2, 3, 0, 1, 0, 1, 3, 1, 4, 4, 1, 1, 4, 4, 0, 3, 0, 1, 3, 3, 1, 1, 1, 4, 0, 4, 4, 3, 3, 3, 2, 0, 3, 1, 2, 4, 1, 2, 2, 1, 2, 2, 2, 0, 3, 0, 1, 0, 4, 3, 3, 0, 4, 0, 4, 1, 4, 4, 2, 4, 0, 0, 3, 2, 2, 2, 2, 0, 0, 2, 3, 1, 2, 3, 3, 3, 1, 3, 2, 4, 1, 4, 3, 0, 3, 0, 1, 4, 1, 1, 0, 4, 1, 1, 3, 3, 2, 1, 0, 0, 2, 1, 3, 0, 0, 1, 1, 1, 4, 1, 1, 1, 1, 1, 2, 4, 3, 2, 1, 4, 1, 2, 1, 0, 3, 2, 3, 4, 3, 2, 2, 0, 1, 4, 2, 0, 4, 2, 4, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 3, 1, 0, 3, 1, 3, 3, 2, 4, 0, 2, 2, 3, 2, 2, 4, 4, 3, 1, 3, 0, 3, 0, 3, 4, 0, 0, 1, 4, 2, 3, 3, 0, 3, 4, 0, 2, 3, 4, 3, 1, 1, 4, 2, 0, 1, 2, 4, 3, 1, 3, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 3, 1, 2, 3, 1, 4, 0, 1, 0, 4, 1, 1, 1, 4, 3, 0, 4, 1, 4, 1, 0, 2, 4, 3, 2, 3, 3, 4, 0, 0, 2, 2, 4, 3, 4, 1, 0, 3, 3, 0, 1, 3, 4, 2, 1, 4, 4, 1, 4, 1, 0, 3, 2, 0, 3, 3, 2, 3, 2, 0, 2, 4, 3, 0, 4, 0, 0, 0, 1, 4, 2, 4, 3, 4, 3, 4, 0, 0, 4, 0, 3, 3, 4, 2, 4, 4, 0, 4, 4, 2, 1, 4, 4, 3, 1, 0, 0, 2, 4, 4, 4, 2, 1, 0, 0, 1, 2, 3] pubkeycol334 = [0, 3, 1, 2, 3, 1, 3, 2, 1, 4, 2, 4, 1, 1, 1, 2, 1, 1, 3, 2, 0, 0, 1, 0, 2, 3, 3, 1, 2, 0, 0, 1, 3, 4, 4, 0, 2, 2, 3, 2, 1, 4, 0, 1, 0, 2, 1, 0, 0, 0, 1, 4, 0, 3, 3, 4, 2, 0, 0, 0, 0, 2, 2, 1, 4, 3, 2, 0, 1, 4, 2, 4, 3, 4, 1, 1, 2, 1, 4, 4, 4, 3, 0, 3, 3, 0, 3, 0, 3, 1, 1, 1, 2, 0, 4, 1, 2, 2, 2, 4, 1, 4, 4, 4, 2, 0, 3, 0, 0, 2, 1, 4, 1, 2, 1, 4, 3, 0, 3, 2, 1, 4, 0, 3, 1, 1, 0, 4, 3, 1, 1, 1, 2, 2, 0, 1, 4, 1, 3, 2, 3, 1, 1, 2, 0, 0, 0, 0, 2, 4, 1, 4, 0, 3, 2, 0, 2, 2, 0, 0, 3, 1, 1, 0, 1, 4, 0, 3, 1, 3, 2, 0, 0, 0, 3, 4, 2, 4, 3, 3, 2, 2, 2, 0, 0, 4, 0, 3, 0, 2, 2, 2, 4, 4, 4, 4, 0, 2, 1, 4, 0, 0, 3, 0, 1, 0, 3, 1, 4, 0, 0, 3, 4, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 2, 0, 3, 3, 4, 4, 4, 3, 0, 2, 2, 4, 2, 3, 4, 2, 1, 1, 0, 4, 1, 4, 1, 4, 1, 4, 4, 2, 1, 3, 1, 2, 2, 4, 3, 4, 4, 4, 3, 4, 0, 1, 1, 4, 4, 2, 2, 4, 0, 3, 2, 1, 4, 2, 1, 0, 4, 1, 2, 3, 4, 2, 0, 4, 0, 3, 4, 1, 3, 1, 2, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol335 = [1, 1, 2, 1, 3, 0, 1, 3, 1, 4, 3, 3, 3, 1, 0, 2, 2, 1, 2, 3, 0, 1, 0, 3, 4, 3, 1, 4, 2, 0, 1, 0, 1, 4, 3, 2, 3, 1, 4, 4, 2, 0, 3, 0, 3, 2, 0, 4, 4, 4, 3, 2, 2, 2, 4, 3, 3, 4, 4, 0, 2, 4, 3, 1, 2, 4, 0, 0, 4, 4, 0, 3, 3, 4, 1, 1, 0, 3, 2, 3, 1, 3, 2, 4, 3, 0, 0, 3, 3, 0, 4, 3, 0, 4, 3, 3, 0, 0, 3, 3, 2, 0, 4, 1, 4, 3, 3, 4, 2, 1, 1, 2, 2, 2, 3, 1, 4, 4, 3, 2, 0, 1, 2, 1, 1, 3, 4, 4, 4, 0, 0, 4, 1, 3, 1, 4, 3, 3, 0, 2, 2, 0, 3, 1, 0, 0, 3, 1, 1, 0, 2, 3, 2, 0, 2, 3, 1, 1, 3, 3, 4, 1, 1, 4, 1, 0, 2, 4, 0, 0, 2, 0, 3, 2, 1, 1, 3, 0, 0, 2, 4, 4, 0, 4, 2, 0, 3, 4, 1, 1, 1, 4, 4, 1, 0, 3, 1, 1, 4, 2, 3, 1, 1, 4, 0, 3, 0, 1, 2, 3, 2, 2, 4, 1, 1, 1, 3, 4, 4, 0, 0, 1, 1, 2, 4, 1, 0, 3, 3, 0, 2, 3, 1, 3, 4, 0, 1, 0, 1, 4, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 4, 2, 3, 1, 3, 0, 3, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 3, 2, 4, 4, 1, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 0, 0, 4, 3, 1, 0, 4, 0, 0, 2, 3, 0, 4, 4, 2, 1, 2, 0, 4, 1, 3, 3, 3, 2, 4, 0, 1, 1, 0, 4] pubkeycol336 = [4, 1, 1, 3, 4, 2, 0, 1, 0, 2, 4, 0, 2, 3, 1, 3, 4, 2, 3, 3, 4, 3, 2, 3, 1, 3, 2, 4, 0, 3, 0, 2, 0, 4, 4, 3, 2, 3, 4, 4, 2, 2, 3, 2, 1, 3, 4, 4, 3, 1, 2, 3, 2, 3, 2, 4, 3, 2, 2, 0, 2, 0, 0, 4, 1, 2, 4, 1, 1, 3, 2, 0, 2, 3, 0, 3, 3, 0, 0, 2, 4, 1, 4, 0, 1, 0, 3, 1, 2, 1, 0, 3, 0, 3, 0, 0, 0, 4, 3, 3, 1, 1, 2, 1, 4, 4, 2, 2, 4, 3, 0, 1, 2, 0, 2, 1, 2, 1, 4, 1, 0, 2, 4, 1, 1, 2, 1, 1, 1, 3, 1, 3, 2, 2, 1, 4, 4, 2, 4, 3, 4, 0, 4, 4, 4, 1, 2, 3, 3, 3, 2, 1, 0, 3, 0, 0, 3, 1, 4, 4, 1, 3, 3, 2, 1, 1, 0, 3, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 4, 3, 2, 2, 4, 1, 3, 4, 3, 0, 1, 3, 3, 2, 4, 3, 1, 0, 0, 2, 0, 4, 1, 4, 3, 1, 2, 2, 4, 1, 4, 0, 0, 4, 4, 4, 3, 4, 1, 1, 2, 1, 4, 4, 1, 0, 2, 4, 2, 4, 1, 1, 2, 3, 4, 3, 4, 3, 1, 2, 4, 3, 3, 2, 0, 2, 4, 4, 4, 1, 3, 3, 3, 2, 1, 1, 4, 0, 1, 1, 4, 4, 4, 1, 1, 2, 1, 0, 2, 1, 1, 3, 3, 3, 4, 3, 1, 2, 4, 0, 3, 4, 4, 1, 1, 3, 1, 4, 2, 0, 2, 2, 3, 2, 4, 0, 0, 2, 4, 3, 2, 0, 4, 2, 1, 0, 0, 4, 2, 4, 0, 2, 3, 1, 1, 2, 3, 3, 1, 1] pubkeycol337 = [4, 4, 0, 4, 0, 3, 4, 2, 0, 4, 3, 4, 1, 4, 2, 4, 3, 3, 0, 0, 4, 3, 4, 3, 4, 1, 2, 1, 4, 3, 1, 4, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 3, 1, 4, 0, 1, 4, 3, 1, 1, 1, 1, 4, 4, 2, 4, 3, 2, 3, 0, 4, 1, 0, 2, 2, 3, 2, 1, 1, 0, 1, 2, 0, 1, 3, 3, 0, 1, 3, 0, 1, 0, 3, 2, 3, 0, 2, 2, 1, 0, 3, 1, 1, 1, 3, 0, 1, 4, 2, 4, 0, 4, 2, 1, 2, 4, 1, 1, 1, 2, 1, 0, 4, 4, 0, 2, 3, 2, 3, 3, 1, 2, 0, 3, 2, 4, 1, 2, 3, 4, 1, 3, 4, 3, 3, 2, 3, 1, 4, 1, 3, 4, 1, 1, 3, 1, 4, 4, 4, 3, 0, 4, 0, 4, 2, 2, 1, 3, 1, 1, 2, 4, 1, 4, 0, 3, 4, 4, 1, 4, 1, 2, 1, 3, 3, 4, 1, 0, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 4, 2, 4, 1, 0, 2, 4, 3, 2, 3, 2, 3, 2, 0, 2, 3, 3, 3, 1, 1, 2, 2, 2, 4, 2, 4, 3, 3, 4, 3, 0, 0, 3, 4, 1, 0, 1, 1, 0, 3, 4, 1, 4, 0, 3, 0, 1, 4, 0, 3, 2, 0, 0, 3, 3, 1, 0, 1, 0, 4, 0, 2, 2, 2, 0, 2, 3, 1, 1, 0, 1, 3, 3, 4, 2, 4, 4, 4, 1, 0, 4, 0, 1, 4, 4, 1, 2, 4, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 0, 4, 2, 2, 4, 1, 3, 3, 4, 3, 2, 0, 3, 2, 1, 4, 3, 4, 2, 3] pubkeycol338 = [4, 1, 4, 0, 4, 3, 2, 1, 1, 1, 4, 3, 4, 3, 2, 1, 4, 2, 4, 1, 2, 1, 0, 1, 3, 4, 3, 0, 2, 1, 2, 3, 3, 1, 2, 0, 0, 2, 3, 3, 2, 0, 4, 3, 1, 1, 3, 3, 1, 1, 1, 4, 4, 2, 4, 1, 0, 2, 2, 4, 0, 0, 1, 0, 0, 4, 4, 0, 4, 0, 3, 1, 0, 2, 0, 1, 4, 3, 4, 2, 3, 4, 3, 2, 0, 0, 2, 0, 2, 1, 4, 2, 2, 1, 4, 0, 2, 3, 3, 0, 4, 2, 4, 2, 3, 1, 0, 1, 3, 1, 0, 1, 2, 3, 1, 0, 3, 4, 1, 3, 3, 0, 2, 2, 1, 2, 3, 2, 1, 3, 1, 0, 4, 4, 4, 1, 3, 1, 3, 2, 2, 1, 1, 1, 2, 0, 2, 2, 4, 3, 3, 4, 4, 2, 4, 1, 0, 2, 4, 2, 0, 0, 2, 2, 3, 4, 1, 1, 4, 1, 2, 4, 4, 3, 3, 0, 0, 3, 1, 0, 0, 1, 0, 0, 3, 3, 3, 1, 3, 2, 0, 3, 1, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 0, 3, 1, 4, 2, 2, 2, 0, 0, 4, 3, 0, 0, 2, 2, 1, 0, 1, 4, 2, 0, 1, 3, 1, 0, 2, 3, 3, 2, 2, 1, 1, 2, 1, 3, 0, 2, 0, 4, 0, 3, 1, 1, 0, 3, 4, 4, 2, 2, 2, 0, 4, 4, 4, 1, 1, 2, 1, 0, 3, 3, 3, 0, 4, 3, 3, 3, 1, 1, 4, 4, 0, 4, 1, 2, 3, 0, 1, 3, 2, 3, 4, 3, 0, 4, 0, 3, 3, 2, 1, 3, 4, 4, 4, 4, 3, 2, 0, 4, 3, 3, 1, 1, 1, 4, 0, 0, 3, 3, 1, 2, 1, 4, 4, 0, 1] pubkeycol339 = [1, 3, 0, 4, 3, 0, 3, 3, 4, 4, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 2, 2, 3, 3, 2, 2, 0, 4, 0, 4, 4, 1, 0, 4, 0, 3, 4, 1, 2, 3, 4, 2, 0, 0, 0, 3, 1, 0, 3, 0, 3, 1, 0, 2, 2, 1, 4, 2, 2, 0, 2, 3, 2, 4, 4, 3, 1, 0, 3, 3, 0, 4, 0, 4, 3, 0, 4, 3, 1, 4, 3, 3, 2, 1, 4, 4, 1, 0, 4, 2, 3, 4, 3, 0, 4, 2, 0, 1, 0, 2, 3, 4, 2, 0, 4, 1, 1, 4, 3, 0, 1, 3, 1, 0, 1, 1, 2, 1, 1, 2, 4, 2, 4, 1, 0, 4, 1, 4, 1, 4, 2, 0, 1, 3, 1, 1, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 0, 4, 2, 3, 1, 3, 3, 3, 3, 4, 2, 4, 3, 3, 1, 3, 3, 4, 2, 1, 0, 2, 1, 0, 3, 4, 4, 2, 1, 3, 3, 0, 4, 4, 4, 1, 4, 1, 0, 2, 3, 1, 1, 1, 1, 0, 2, 2, 0, 1, 4, 2, 1, 1, 0, 1, 3, 3, 2, 0, 4, 0, 2, 4, 2, 3, 2, 4, 2, 1, 2, 1, 4, 2, 0, 0, 1, 4, 2, 2, 2, 1, 0, 4, 0, 4, 4, 3, 3, 0, 2, 1, 1, 0, 3, 2, 0, 1, 4, 0, 0, 1, 0, 3, 3, 0, 0, 3, 2, 3, 0, 1, 4, 3, 4, 0, 2, 1, 0, 4, 4, 1, 4, 1, 1, 1, 4, 2, 2, 3, 4, 0, 0, 1, 4, 4, 3, 2, 0, 0, 4, 1, 1, 0, 3, 3, 3, 4, 2, 2, 1, 0, 4, 3, 0, 1, 2, 1, 4, 1, 0, 4, 4, 4, 0, 3, 0, 1, 0, 2, 3, 2, 0] pubkeycol340 = [4, 0, 2, 2, 0, 2, 4, 3, 3, 2, 1, 1, 3, 2, 2, 3, 0, 2, 1, 2, 2, 0, 0, 3, 2, 3, 3, 0, 1, 4, 2, 3, 3, 0, 1, 3, 1, 3, 1, 2, 1, 1, 4, 3, 4, 1, 4, 2, 2, 0, 3, 1, 0, 0, 2, 3, 4, 0, 3, 1, 3, 4, 1, 3, 3, 3, 4, 4, 1, 1, 0, 4, 4, 0, 3, 1, 1, 1, 3, 4, 4, 2, 3, 2, 3, 1, 3, 4, 3, 3, 1, 1, 2, 2, 1, 2, 3, 1, 0, 0, 2, 4, 0, 1, 3, 0, 1, 2, 4, 2, 1, 1, 4, 2, 0, 0, 0, 3, 2, 4, 4, 0, 3, 0, 1, 3, 1, 2, 0, 1, 0, 1, 0, 4, 1, 3, 3, 0, 2, 4, 1, 2, 4, 3, 4, 4, 3, 2, 3, 4, 2, 4, 0, 0, 1, 0, 1, 2, 1, 2, 0, 3, 1, 4, 1, 2, 3, 1, 3, 4, 3, 1, 4, 1, 0, 0, 0, 2, 1, 1, 4, 1, 1, 4, 0, 1, 3, 2, 1, 0, 1, 0, 4, 1, 2, 4, 3, 1, 2, 4, 0, 2, 0, 2, 2, 0, 1, 1, 4, 4, 1, 3, 3, 2, 3, 0, 1, 0, 2, 0, 3, 1, 3, 3, 1, 2, 1, 0, 0, 4, 2, 0, 3, 0, 2, 1, 0, 0, 2, 1, 0, 4, 2, 1, 0, 1, 3, 4, 4, 3, 3, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 3, 0, 4, 4, 2, 4, 1, 0, 3, 0, 4, 2, 1, 0, 2, 1, 2, 1, 4, 3, 1, 3, 3, 3, 3, 2, 0, 3, 1, 1, 2, 3, 2, 1, 2, 2, 0, 4, 4, 1, 0, 4, 4, 0, 0, 2, 3, 1, 4, 2, 3, 1, 1, 1, 3, 3, 0, 3, 4] pubkeycol341 = [3, 2, 3, 0, 3, 0, 2, 2, 1, 1, 2, 1, 4, 1, 2, 1, 3, 1, 4, 1, 3, 3, 2, 3, 1, 2, 1, 3, 1, 4, 1, 4, 1, 2, 4, 4, 2, 3, 4, 3, 0, 3, 2, 3, 2, 4, 0, 1, 2, 0, 1, 3, 1, 0, 2, 2, 4, 0, 3, 1, 4, 2, 1, 4, 2, 0, 2, 4, 3, 1, 2, 3, 0, 0, 0, 3, 1, 3, 3, 3, 2, 2, 3, 2, 3, 3, 4, 1, 4, 4, 1, 3, 4, 1, 0, 4, 1, 2, 4, 2, 4, 0, 1, 0, 4, 2, 3, 4, 1, 1, 0, 4, 2, 0, 0, 1, 4, 1, 4, 0, 0, 4, 0, 4, 2, 3, 4, 3, 3, 0, 2, 0, 0, 0, 0, 3, 0, 2, 4, 4, 3, 4, 3, 4, 2, 0, 4, 1, 0, 4, 0, 0, 2, 4, 1, 1, 4, 4, 1, 0, 3, 3, 1, 2, 3, 2, 2, 1, 0, 0, 1, 3, 2, 1, 4, 2, 3, 0, 4, 1, 4, 1, 4, 0, 0, 4, 0, 4, 4, 2, 0, 3, 1, 3, 3, 1, 3, 2, 1, 2, 2, 4, 1, 1, 1, 4, 2, 1, 1, 1, 0, 3, 3, 0, 3, 3, 1, 4, 1, 1, 0, 2, 0, 3, 0, 4, 3, 4, 1, 4, 1, 1, 1, 0, 2, 3, 3, 0, 3, 0, 2, 3, 1, 3, 3, 1, 2, 3, 3, 3, 3, 1, 4, 4, 1, 3, 4, 1, 2, 3, 0, 0, 1, 1, 4, 4, 1, 3, 3, 3, 1, 2, 2, 3, 4, 0, 1, 2, 1, 4, 4, 1, 4, 3, 3, 1, 2, 4, 0, 3, 1, 3, 0, 0, 1, 0, 0, 2, 2, 2, 4, 4, 3, 2, 4, 0, 3, 2, 3, 4, 1, 2, 0, 2, 4, 1, 4, 0, 3, 0] pubkeycol342 = [0, 0, 3, 2, 2, 4, 2, 2, 2, 2, 2, 0, 4, 2, 2, 0, 3, 4, 0, 1, 3, 4, 1, 2, 3, 3, 2, 3, 1, 0, 1, 1, 4, 2, 2, 3, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 3, 0, 1, 1, 3, 1, 0, 2, 0, 1, 2, 4, 2, 1, 1, 0, 0, 0, 3, 4, 0, 2, 1, 0, 4, 1, 3, 4, 2, 0, 3, 3, 0, 3, 0, 3, 4, 1, 1, 2, 2, 1, 0, 1, 2, 2, 4, 0, 0, 4, 3, 1, 0, 2, 4, 0, 1, 2, 4, 4, 4, 3, 0, 2, 3, 1, 2, 0, 4, 4, 0, 4, 1, 0, 3, 3, 2, 1, 3, 0, 1, 2, 3, 3, 4, 4, 2, 1, 4, 3, 4, 4, 4, 3, 1, 1, 2, 0, 4, 0, 3, 3, 4, 2, 4, 4, 2, 3, 3, 3, 0, 4, 2, 3, 0, 4, 0, 3, 2, 4, 1, 0, 4, 1, 2, 4, 2, 0, 4, 3, 4, 1, 4, 0, 2, 0, 1, 1, 0, 1, 3, 0, 1, 3, 0, 1, 2, 0, 0, 3, 4, 2, 0, 0, 4, 4, 2, 4, 2, 3, 1, 4, 1, 0, 3, 1, 1, 0, 2, 0, 3, 1, 3, 4, 4, 0, 4, 0, 3, 4, 4, 4, 0, 2, 2, 1, 2, 3, 4, 1, 3, 1, 2, 1, 1, 0, 0, 3, 4, 3, 2, 3, 3, 4, 0, 4, 4, 0, 2, 1, 2, 2, 0, 1, 4, 4, 4, 0, 2, 0, 4, 2, 4, 2, 1, 2, 3, 2, 2, 0, 0, 0, 4, 3, 4, 3, 4, 1, 1, 1, 2, 2, 0, 0, 1, 1, 4, 4, 3, 3, 2, 3, 0, 0, 2, 3, 1, 0, 1, 0, 3, 4, 2, 3, 1, 1, 2, 3, 2, 1] pubkeycol343 = [0, 4, 0, 2, 4, 3, 0, 0, 3, 1, 3, 2, 2, 2, 0, 2, 0, 0, 0, 3, 0, 1, 0, 4, 1, 3, 4, 1, 4, 3, 2, 4, 1, 1, 0, 1, 2, 3, 4, 2, 2, 0, 2, 3, 4, 4, 1, 2, 4, 1, 3, 2, 0, 4, 3, 3, 4, 0, 3, 2, 3, 0, 3, 3, 0, 1, 2, 4, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 3, 0, 1, 1, 0, 0, 3, 0, 0, 4, 2, 2, 2, 2, 0, 1, 4, 3, 3, 2, 1, 2, 2, 3, 2, 4, 3, 1, 4, 1, 1, 0, 0, 0, 3, 0, 2, 3, 2, 3, 2, 2, 0, 3, 3, 0, 4, 4, 3, 0, 2, 1, 1, 0, 0, 4, 0, 3, 2, 4, 1, 2, 3, 2, 4, 2, 4, 4, 3, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 1, 4, 0, 3, 3, 2, 3, 2, 3, 1, 3, 3, 4, 3, 3, 0, 3, 3, 1, 3, 2, 3, 4, 4, 2, 0, 2, 2, 3, 1, 2, 1, 4, 1, 1, 3, 2, 3, 2, 4, 0, 0, 0, 1, 3, 1, 0, 3, 3, 1, 0, 0, 2, 3, 4, 2, 3, 1, 0, 0, 2, 1, 4, 4, 4, 2, 3, 1, 4, 2, 3, 0, 0, 1, 4, 4, 0, 3, 3, 2, 4, 1, 2, 4, 3, 4, 2, 2, 0, 1, 1, 0, 3, 2, 0, 2, 1, 3, 3, 3, 1, 3, 0, 1, 1, 0, 1, 3, 4, 4, 3, 2, 1, 0, 4, 2, 4, 0, 2, 2, 1, 4, 3, 0, 4, 4, 4, 1, 2, 2, 4, 4, 1, 0, 0, 3, 0, 0, 4, 4, 3, 2, 3, 4, 4, 4, 2, 0, 1, 1, 0, 4, 1, 0, 2, 0, 0, 2, 4, 4, 2, 3, 1] pubkeycol344 = [4, 0, 4, 0, 3, 3, 1, 0, 3, 3, 3, 1, 2, 0, 3, 1, 1, 1, 0, 2, 0, 1, 2, 4, 3, 1, 2, 2, 2, 1, 2, 3, 2, 3, 4, 1, 2, 2, 3, 1, 1, 4, 1, 0, 2, 1, 4, 0, 2, 1, 1, 0, 3, 0, 1, 4, 4, 4, 2, 4, 1, 0, 1, 1, 2, 4, 1, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 3, 4, 4, 2, 4, 3, 3, 4, 2, 3, 3, 1, 0, 1, 3, 4, 3, 4, 2, 3, 2, 0, 2, 3, 3, 2, 4, 3, 4, 0, 0, 3, 4, 3, 1, 0, 3, 2, 0, 0, 3, 1, 4, 2, 0, 3, 2, 3, 4, 1, 1, 0, 0, 4, 3, 3, 3, 3, 0, 2, 4, 3, 4, 4, 0, 2, 4, 3, 2, 2, 1, 1, 0, 0, 3, 4, 0, 2, 4, 4, 1, 1, 4, 1, 0, 2, 4, 4, 3, 0, 3, 2, 3, 2, 4, 1, 0, 3, 2, 0, 0, 0, 2, 1, 0, 1, 0, 4, 1, 0, 3, 3, 2, 3, 0, 2, 2, 1, 0, 4, 4, 4, 4, 2, 0, 0, 4, 1, 4, 1, 2, 1, 2, 3, 1, 4, 2, 3, 2, 1, 2, 0, 1, 4, 1, 1, 1, 1, 0, 1, 1, 2, 3, 0, 2, 2, 2, 0, 4, 1, 4, 0, 2, 0, 0, 3, 3, 4, 4, 3, 4, 4, 2, 2, 1, 2, 2, 0, 4, 4, 1, 3, 0, 3, 4, 4, 3, 4, 2, 1, 3, 1, 2, 2, 4, 3, 1, 2, 3, 0, 0, 2, 4, 4, 0, 3, 3, 4, 1, 1, 1, 4, 2, 3, 4, 2, 4, 4, 2, 0, 1, 2, 4, 4, 1, 0, 4, 1, 4, 0, 1, 1, 0] pubkeycol345 = [4, 3, 4, 4, 2, 1, 4, 2, 3, 4, 3, 3, 2, 4, 0, 0, 4, 1, 4, 1, 4, 1, 2, 2, 0, 3, 2, 0, 2, 3, 2, 1, 3, 0, 4, 3, 2, 1, 4, 2, 2, 2, 3, 4, 0, 3, 4, 1, 4, 0, 4, 0, 1, 0, 4, 0, 0, 3, 3, 1, 4, 1, 0, 3, 4, 0, 2, 2, 0, 2, 3, 0, 4, 0, 3, 3, 1, 4, 3, 2, 3, 3, 0, 1, 2, 2, 2, 4, 0, 3, 3, 4, 0, 0, 3, 2, 4, 4, 1, 4, 3, 2, 4, 2, 2, 3, 1, 3, 0, 2, 1, 0, 0, 0, 3, 4, 3, 1, 4, 4, 3, 1, 3, 3, 2, 2, 4, 2, 2, 0, 4, 0, 2, 1, 1, 1, 0, 3, 1, 4, 3, 3, 1, 2, 0, 3, 3, 4, 1, 1, 1, 2, 4, 4, 2, 4, 0, 4, 0, 4, 3, 3, 4, 1, 3, 4, 0, 0, 1, 2, 4, 1, 2, 2, 4, 4, 0, 2, 3, 3, 2, 0, 4, 2, 1, 3, 1, 1, 3, 4, 3, 1, 4, 4, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 4, 3, 4, 0, 1, 2, 1, 4, 1, 3, 2, 1, 1, 1, 2, 4, 4, 3, 2, 4, 0, 0, 0, 0, 0, 3, 2, 2, 3, 2, 1, 4, 2, 1, 2, 3, 2, 2, 2, 4, 3, 4, 3, 1, 3, 4, 3, 3, 4, 4, 0, 0, 2, 3, 2, 4, 1, 0, 0, 4, 3, 3, 3, 2, 0, 4, 4, 2, 2, 3, 2, 4, 1, 4, 3, 1, 0, 4, 2, 4, 0, 0, 3, 2, 1, 4, 2, 2, 1, 2, 1, 1, 2, 1, 3, 1, 0, 2, 2, 3, 0, 2, 3, 0, 0, 3, 0, 2, 3, 4, 2, 0, 2, 2, 2] pubkeycol346 = [4, 3, 3, 1, 0, 4, 1, 2, 1, 1, 3, 2, 3, 2, 0, 3, 3, 4, 0, 1, 3, 3, 4, 1, 1, 1, 3, 1, 0, 4, 2, 0, 3, 1, 1, 4, 2, 4, 3, 1, 1, 4, 3, 0, 0, 0, 4, 3, 3, 2, 0, 3, 0, 2, 0, 3, 2, 3, 4, 3, 0, 3, 2, 3, 2, 3, 0, 2, 2, 1, 2, 0, 4, 1, 0, 4, 1, 3, 3, 4, 4, 2, 0, 3, 4, 2, 1, 0, 4, 2, 1, 4, 0, 2, 2, 3, 1, 1, 1, 1, 3, 4, 4, 1, 1, 2, 2, 0, 4, 0, 4, 2, 3, 3, 0, 1, 4, 0, 1, 4, 0, 1, 4, 4, 4, 0, 3, 4, 1, 3, 1, 1, 4, 0, 4, 4, 4, 4, 3, 1, 1, 3, 2, 2, 4, 0, 3, 1, 4, 1, 4, 3, 2, 3, 2, 1, 4, 0, 4, 0, 3, 2, 2, 1, 1, 3, 0, 3, 4, 1, 1, 0, 2, 4, 0, 4, 1, 2, 0, 2, 4, 3, 1, 4, 2, 4, 3, 0, 4, 1, 1, 3, 3, 3, 1, 2, 0, 1, 2, 4, 1, 4, 3, 2, 0, 3, 3, 0, 1, 1, 3, 1, 4, 0, 0, 3, 1, 0, 3, 4, 4, 3, 3, 3, 4, 1, 2, 0, 1, 0, 1, 2, 0, 3, 2, 3, 3, 3, 1, 4, 3, 1, 0, 2, 0, 4, 1, 4, 0, 4, 4, 1, 2, 4, 1, 2, 1, 3, 4, 1, 1, 1, 0, 0, 4, 3, 3, 3, 1, 3, 1, 3, 2, 3, 3, 4, 3, 1, 0, 1, 2, 2, 1, 4, 3, 3, 2, 3, 4, 3, 2, 0, 0, 1, 3, 1, 0, 0, 0, 3, 1, 3, 4, 3, 0, 4, 1, 4, 1, 4, 3, 3, 4, 3, 4, 0, 1, 3, 3, 1] pubkeycol347 = [1, 1, 2, 4, 2, 2, 1, 3, 0, 0, 0, 1, 3, 1, 0, 3, 3, 2, 4, 1, 0, 0, 2, 4, 1, 3, 3, 4, 2, 0, 4, 4, 1, 0, 4, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 1, 2, 3, 4, 0, 2, 0, 2, 4, 2, 1, 0, 1, 3, 1, 2, 0, 3, 2, 2, 3, 4, 3, 4, 3, 2, 4, 0, 4, 2, 0, 1, 2, 0, 2, 3, 1, 3, 4, 1, 1, 2, 4, 1, 1, 1, 2, 2, 0, 1, 1, 0, 4, 1, 0, 1, 1, 3, 3, 0, 4, 0, 3, 0, 2, 1, 4, 0, 0, 3, 1, 3, 2, 1, 3, 1, 2, 4, 0, 2, 3, 1, 3, 0, 2, 0, 1, 4, 3, 1, 1, 3, 1, 4, 4, 1, 2, 4, 0, 3, 3, 2, 3, 4, 0, 4, 0, 1, 2, 1, 4, 0, 3, 1, 0, 1, 4, 2, 1, 4, 2, 1, 4, 0, 0, 1, 4, 2, 0, 1, 4, 0, 4, 1, 2, 0, 3, 3, 1, 3, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 4, 4, 1, 1, 0, 3, 2, 1, 1, 0, 1, 4, 4, 0, 1, 4, 3, 0, 1, 4, 1, 0, 3, 3, 3, 3, 2, 1, 0, 2, 0, 1, 0, 2, 1, 4, 4, 4, 1, 1, 2, 0, 4, 4, 2, 0, 3, 2, 4, 3, 3, 0, 0, 3, 4, 3, 0, 2, 0, 4, 1, 2, 1, 2, 0, 1, 1, 2, 3, 4, 1, 1, 0, 2, 0, 4, 2, 0, 2, 0, 1, 4, 4, 4, 0, 3, 2, 1, 4, 4, 2, 1, 1, 3, 0, 4, 0, 3, 0, 3, 1, 4, 0, 2, 3, 2, 3, 4, 0, 2, 3, 4, 2, 2, 2, 1, 1, 2, 4, 1, 0, 3, 1, 3] pubkeycol348 = [3, 0, 1, 2, 0, 4, 1, 2, 0, 3, 4, 1, 0, 4, 2, 3, 1, 1, 4, 0, 4, 0, 0, 0, 3, 2, 0, 2, 3, 2, 1, 2, 3, 2, 2, 1, 1, 4, 4, 4, 1, 4, 2, 4, 1, 0, 2, 3, 2, 2, 4, 3, 1, 3, 1, 0, 4, 3, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 3, 2, 2, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 2, 0, 2, 3, 4, 3, 1, 3, 0, 1, 0, 3, 3, 1, 4, 3, 0, 4, 0, 0, 4, 2, 0, 0, 3, 3, 4, 3, 0, 0, 4, 0, 0, 0, 4, 2, 3, 3, 2, 4, 3, 3, 2, 0, 4, 4, 3, 0, 0, 0, 1, 0, 0, 4, 3, 2, 1, 2, 2, 3, 4, 2, 4, 4, 0, 4, 0, 4, 1, 1, 4, 2, 2, 0, 4, 3, 1, 2, 0, 4, 2, 3, 1, 0, 3, 0, 1, 0, 0, 1, 3, 3, 3, 1, 3, 1, 2, 4, 1, 4, 3, 0, 4, 3, 0, 0, 0, 0, 2, 0, 4, 1, 0, 3, 2, 1, 3, 2, 0, 3, 3, 1, 2, 3, 0, 1, 0, 1, 1, 4, 4, 1, 2, 2, 3, 0, 4, 4, 4, 1, 4, 3, 4, 2, 3, 0, 0, 1, 3, 2, 2, 2, 4, 2, 2, 0, 4, 0, 2, 1, 3, 1, 4, 1, 1, 3, 2, 4, 3, 1, 2, 0, 3, 1, 3, 2, 1, 3, 0, 3, 3, 4, 3, 1, 3, 3, 0, 4, 2, 3, 0, 0, 1, 0, 0, 1, 3, 4, 4, 4, 0, 1, 1, 1, 3, 2, 1, 0, 1, 0, 2, 2, 1, 3, 4, 0, 0, 3, 1, 0, 1, 2, 0, 2, 0, 1, 4, 2, 0, 3, 0, 3, 0, 1, 1, 0] pubkeycol349 = [2, 4, 0, 4, 3, 0, 3, 0, 4, 2, 4, 4, 0, 3, 1, 3, 3, 2, 3, 0, 3, 4, 3, 1, 4, 0, 0, 3, 0, 2, 4, 3, 4, 4, 0, 0, 4, 4, 4, 1, 3, 0, 3, 0, 2, 1, 4, 3, 4, 2, 3, 4, 2, 4, 1, 0, 0, 1, 2, 0, 4, 1, 4, 2, 0, 0, 0, 1, 0, 2, 1, 4, 2, 1, 1, 3, 1, 3, 4, 4, 1, 0, 0, 3, 0, 4, 0, 4, 2, 0, 2, 4, 1, 4, 1, 2, 0, 0, 3, 2, 0, 3, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 3, 4, 3, 3, 2, 1, 1, 1, 3, 4, 2, 4, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 3, 1, 4, 3, 3, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 4, 1, 3, 1, 4, 0, 3, 4, 3, 3, 1, 0, 4, 0, 2, 0, 3, 3, 2, 0, 4, 0, 4, 0, 1, 4, 3, 3, 2, 2, 0, 1, 3, 0, 1, 4, 1, 1, 1, 4, 0, 3, 1, 0, 3, 3, 1, 1, 1, 1, 4, 3, 1, 3, 4, 3, 1, 0, 2, 4, 1, 1, 4, 2, 2, 1, 2, 3, 4, 0, 4, 3, 0, 1, 4, 2, 3, 4, 4, 2, 2, 3, 2, 1, 4, 4, 4, 2, 2, 0, 4, 3, 4, 2, 1, 4, 3, 2, 1, 3, 2, 4, 0, 1, 1, 3, 2, 0, 2, 3, 3, 1, 2, 0, 2, 4, 4, 3, 1, 0, 2, 3, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 3, 3, 1, 3, 0, 2, 3, 2, 4, 0, 0, 2, 2, 1, 4, 4, 4, 4, 3, 1, 0, 3, 1, 3, 0, 3, 3, 0] pubkeycol350 = [1, 0, 3, 3, 4, 2, 0, 1, 0, 1, 4, 3, 4, 1, 1, 2, 0, 1, 0, 1, 3, 3, 4, 2, 4, 2, 0, 1, 0, 2, 2, 4, 3, 0, 1, 3, 1, 1, 1, 1, 1, 0, 1, 3, 0, 1, 2, 0, 1, 4, 4, 1, 1, 2, 3, 1, 1, 4, 0, 1, 2, 4, 1, 4, 2, 4, 4, 0, 4, 4, 2, 4, 3, 2, 3, 2, 0, 1, 1, 4, 4, 1, 0, 2, 0, 4, 0, 2, 1, 2, 1, 4, 2, 2, 0, 0, 1, 4, 0, 0, 0, 0, 0, 4, 1, 0, 2, 2, 2, 0, 4, 2, 1, 2, 1, 3, 2, 3, 3, 0, 0, 2, 1, 2, 4, 1, 4, 2, 3, 1, 2, 1, 2, 1, 1, 3, 0, 3, 4, 2, 2, 3, 4, 3, 3, 3, 1, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 1, 2, 4, 2, 4, 1, 1, 4, 3, 3, 1, 0, 4, 4, 3, 3, 2, 0, 0, 4, 3, 2, 3, 2, 0, 3, 4, 0, 0, 0, 2, 3, 4, 3, 4, 0, 2, 3, 1, 0, 3, 1, 2, 1, 3, 4, 0, 4, 1, 2, 3, 4, 3, 2, 4, 1, 3, 2, 2, 3, 1, 4, 4, 0, 1, 0, 0, 0, 1, 3, 2, 3, 0, 4, 3, 0, 1, 3, 4, 0, 3, 0, 1, 1, 2, 4, 0, 2, 4, 4, 2, 0, 2, 2, 3, 2, 3, 3, 2, 1, 3, 2, 3, 4, 3, 2, 0, 2, 2, 4, 0, 0, 0, 4, 2, 1, 4, 2, 2, 2, 3, 1, 0, 2, 0, 4, 1, 2, 3, 2, 1, 3, 4, 3, 4, 3, 0, 4, 1, 1, 0, 0, 4, 4, 3, 2, 4, 1, 0, 0, 4, 4, 2, 2, 1, 1, 1, 1, 2, 2, 0, 3, 4] pubkeycol351 = [2, 3, 1, 1, 3, 2, 2, 2, 1, 0, 0, 3, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 3, 3, 4, 3, 1, 0, 2, 0, 2, 3, 1, 1, 3, 2, 2, 4, 2, 0, 1, 1, 4, 1, 3, 4, 4, 1, 0, 3, 1, 2, 3, 0, 3, 1, 4, 1, 1, 1, 1, 0, 4, 3, 4, 1, 1, 0, 3, 0, 1, 2, 4, 4, 1, 2, 0, 0, 4, 3, 1, 4, 2, 4, 4, 3, 2, 0, 3, 2, 2, 3, 1, 0, 1, 1, 3, 0, 0, 0, 4, 2, 1, 0, 4, 3, 3, 1, 2, 0, 1, 1, 2, 4, 0, 2, 2, 2, 0, 4, 1, 1, 2, 1, 0, 3, 4, 3, 1, 3, 1, 0, 4, 2, 3, 3, 3, 4, 0, 0, 1, 0, 0, 4, 1, 2, 0, 2, 2, 0, 3, 0, 1, 3, 0, 2, 2, 1, 1, 0, 0, 1, 2, 4, 3, 1, 4, 3, 4, 4, 3, 0, 0, 1, 3, 0, 4, 0, 4, 1, 4, 2, 2, 3, 2, 1, 0, 3, 0, 3, 1, 1, 2, 4, 1, 0, 4, 1, 3, 1, 4, 0, 2, 1, 0, 1, 4, 4, 0, 3, 1, 1, 0, 3, 2, 3, 2, 1, 1, 4, 3, 2, 2, 4, 1, 1, 2, 2, 2, 4, 0, 0, 2, 2, 1, 2, 4, 1, 4, 2, 0, 3, 3, 4, 1, 2, 3, 2, 3, 2, 0, 1, 2, 3, 1, 3, 2, 0, 3, 2, 4, 3, 2, 4, 0, 4, 4, 2, 3, 2, 0, 4, 1, 3, 4, 4, 2, 4, 0, 0, 2, 0, 0, 0, 4, 4, 3, 0, 0, 1, 4, 4, 1, 3, 3, 2, 1, 1, 3, 1, 3, 4, 0, 0, 4, 3, 1, 2, 2, 4, 3, 2, 2, 4] pubkeycol352 = [4, 0, 3, 4, 4, 1, 3, 3, 1, 4, 1, 4, 0, 4, 2, 2, 1, 3, 4, 1, 4, 0, 4, 4, 3, 0, 0, 2, 0, 0, 3, 2, 0, 0, 1, 4, 4, 4, 4, 2, 2, 3, 3, 0, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 0, 0, 0, 0, 3, 2, 1, 2, 4, 0, 2, 2, 4, 4, 0, 4, 1, 2, 3, 1, 1, 2, 2, 1, 2, 1, 2, 0, 3, 4, 2, 4, 0, 2, 4, 4, 4, 0, 0, 1, 0, 0, 1, 4, 3, 3, 2, 1, 3, 4, 3, 3, 4, 3, 1, 3, 3, 4, 4, 2, 1, 4, 3, 3, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 4, 1, 3, 1, 0, 4, 4, 3, 3, 1, 4, 3, 3, 3, 1, 1, 2, 3, 3, 1, 0, 3, 0, 1, 0, 4, 4, 2, 2, 1, 0, 1, 2, 1, 4, 0, 3, 2, 3, 1, 4, 4, 3, 2, 0, 1, 4, 0, 3, 0, 3, 3, 4, 0, 3, 4, 2, 2, 3, 1, 0, 1, 2, 4, 2, 0, 4, 1, 3, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 3, 0, 0, 4, 2, 1, 4, 0, 2, 1, 2, 3, 1, 2, 3, 3, 2, 1, 1, 3, 1, 3, 4, 3, 3, 3, 0, 2, 3, 0, 4, 4, 1, 4, 4, 2, 1, 2, 0, 0, 2, 1, 4, 4, 4, 1, 2, 0, 3, 1, 1, 3, 1, 3, 2, 1, 0, 0, 0, 1, 3, 2, 4, 2, 2, 3, 0, 3, 1, 3, 0, 1, 0, 1, 4, 3, 3, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 2, 3, 1, 3, 3, 3, 1, 0, 0, 3, 1, 4, 0, 0, 2] pubkeycol353 = [4, 3, 0, 1, 3, 0, 4, 4, 0, 1, 2, 1, 3, 4, 3, 1, 3, 1, 1, 1, 0, 2, 3, 3, 0, 4, 2, 4, 2, 0, 3, 0, 0, 4, 4, 4, 1, 4, 3, 4, 1, 3, 1, 0, 0, 2, 3, 4, 4, 3, 4, 4, 3, 0, 1, 0, 0, 4, 0, 0, 4, 2, 0, 1, 4, 2, 1, 2, 0, 3, 2, 1, 3, 1, 4, 0, 4, 2, 3, 2, 1, 4, 1, 4, 4, 1, 3, 2, 1, 2, 4, 0, 4, 2, 0, 1, 4, 1, 4, 3, 4, 1, 0, 3, 4, 4, 0, 3, 2, 1, 1, 4, 3, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 4, 1, 3, 0, 4, 0, 4, 2, 0, 4, 0, 4, 4, 4, 1, 2, 4, 3, 2, 3, 1, 2, 0, 0, 4, 3, 3, 2, 4, 0, 4, 2, 4, 3, 4, 3, 3, 4, 1, 4, 2, 0, 3, 2, 0, 1, 3, 2, 2, 1, 0, 3, 4, 2, 4, 2, 0, 4, 1, 1, 3, 3, 2, 1, 1, 3, 1, 2, 1, 3, 1, 4, 0, 4, 1, 2, 3, 0, 2, 2, 1, 0, 2, 1, 4, 1, 0, 0, 0, 3, 3, 1, 3, 4, 2, 0, 0, 0, 2, 3, 4, 3, 3, 0, 3, 0, 3, 2, 0, 3, 2, 1, 1, 1, 2, 0, 0, 4, 4, 3, 1, 3, 1, 3, 4, 0, 3, 3, 2, 0, 2, 0, 4, 0, 0, 3, 2, 3, 0, 1, 2, 0, 1, 1, 2, 2, 3, 0, 2, 3, 3, 2, 1, 3, 3, 0, 4, 4, 4, 2, 0, 1, 0, 4, 1, 0, 2, 4, 4, 3, 0, 1, 3, 2, 3, 3, 2, 2, 1, 0, 0, 3, 4, 3, 4, 3, 1, 4, 0, 1, 2, 3, 0, 1, 0, 2] pubkeycol354 = [1, 1, 3, 0, 1, 3, 3, 3, 2, 2, 3, 4, 2, 3, 4, 4, 0, 0, 3, 2, 1, 2, 2, 3, 4, 1, 4, 1, 0, 0, 2, 0, 4, 0, 1, 1, 1, 4, 3, 3, 0, 1, 0, 3, 2, 4, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 3, 4, 1, 0, 2, 4, 3, 1, 1, 0, 2, 3, 2, 2, 2, 4, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 4, 2, 3, 3, 3, 0, 1, 2, 3, 2, 3, 3, 1, 2, 0, 2, 2, 1, 3, 0, 4, 3, 0, 0, 2, 0, 1, 2, 4, 2, 2, 2, 1, 0, 1, 2, 4, 4, 1, 4, 3, 4, 3, 4, 0, 0, 3, 2, 2, 3, 1, 3, 0, 1, 1, 0, 4, 4, 4, 1, 4, 2, 3, 3, 3, 0, 2, 2, 2, 1, 3, 0, 0, 0, 4, 1, 0, 4, 1, 1, 1, 0, 4, 1, 4, 4, 0, 2, 2, 3, 1, 2, 0, 0, 0, 2, 4, 1, 2, 1, 0, 4, 0, 0, 3, 1, 1, 3, 3, 1, 3, 1, 3, 2, 3, 3, 0, 4, 3, 0, 4, 0, 2, 1, 3, 2, 2, 4, 1, 1, 2, 2, 3, 4, 4, 3, 1, 3, 1, 1, 0, 0, 2, 3, 0, 3, 0, 3, 2, 4, 2, 4, 1, 4, 2, 0, 2, 0, 0, 4, 2, 0, 3, 0, 3, 0, 1, 1, 4, 0, 4, 1, 1, 4, 0, 3, 2, 3, 3, 4, 2, 2, 2, 0, 1, 2, 3, 3, 2, 0, 0, 2, 0, 3, 2, 4, 1, 4, 4, 0, 3, 4, 2, 2, 0, 1, 2, 0, 4, 1, 0, 0, 0, 0, 0, 3, 2, 3, 3, 0, 1, 3, 2, 2, 0, 0, 4, 1, 4, 3, 2, 0] pubkeycol355 = [4, 4, 0, 4, 1, 3, 4, 1, 1, 2, 0, 1, 2, 2, 0, 4, 0, 3, 1, 2, 4, 1, 1, 0, 4, 0, 2, 0, 2, 1, 3, 2, 0, 2, 2, 0, 3, 4, 3, 4, 1, 2, 2, 4, 2, 0, 2, 3, 1, 0, 4, 3, 4, 2, 0, 1, 1, 2, 4, 1, 2, 4, 4, 0, 3, 3, 3, 1, 0, 1, 4, 0, 4, 0, 0, 4, 1, 0, 2, 0, 0, 0, 3, 3, 3, 2, 0, 3, 0, 0, 2, 1, 3, 3, 1, 3, 4, 1, 2, 4, 2, 0, 4, 2, 0, 1, 3, 0, 1, 1, 3, 4, 2, 3, 3, 0, 3, 4, 3, 2, 0, 4, 0, 1, 0, 0, 3, 1, 0, 4, 3, 3, 4, 0, 4, 2, 1, 0, 2, 3, 0, 1, 2, 2, 1, 1, 1, 1, 0, 4, 2, 4, 2, 1, 2, 1, 3, 3, 2, 0, 2, 0, 0, 1, 2, 0, 3, 0, 2, 4, 3, 2, 2, 3, 0, 2, 0, 1, 2, 2, 1, 4, 0, 2, 4, 3, 3, 2, 4, 1, 0, 2, 4, 1, 1, 0, 3, 1, 1, 3, 2, 2, 4, 0, 0, 0, 3, 3, 0, 1, 4, 1, 1, 3, 4, 1, 2, 4, 1, 1, 1, 4, 1, 2, 3, 3, 1, 2, 2, 3, 4, 2, 4, 0, 3, 4, 1, 2, 3, 3, 0, 2, 3, 2, 1, 3, 2, 3, 3, 3, 2, 2, 4, 4, 1, 4, 1, 0, 2, 4, 4, 1, 1, 0, 3, 1, 3, 0, 3, 4, 4, 4, 2, 3, 4, 1, 3, 2, 4, 1, 1, 0, 4, 0, 2, 4, 4, 0, 4, 2, 4, 4, 4, 0, 1, 2, 2, 4, 0, 4, 1, 4, 0, 1, 3, 2, 3, 0, 4, 3, 2, 0, 2, 0, 4, 1, 0, 0, 3, 2] pubkeycol356 = [1, 0, 2, 4, 1, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 1, 4, 3, 1, 3, 1, 3, 1, 0, 2, 1, 2, 1, 3, 1, 0, 3, 4, 0, 2, 0, 2, 4, 2, 1, 3, 0, 2, 1, 3, 0, 0, 4, 0, 4, 4, 4, 0, 1, 3, 4, 4, 2, 1, 4, 2, 0, 2, 0, 4, 3, 1, 4, 0, 3, 1, 2, 3, 2, 4, 2, 1, 1, 2, 4, 2, 1, 2, 0, 2, 4, 1, 2, 3, 3, 1, 2, 1, 3, 1, 3, 2, 3, 3, 3, 4, 0, 0, 0, 3, 0, 1, 2, 3, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 4, 4, 4, 0, 1, 0, 0, 2, 1, 3, 1, 0, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 2, 1, 1, 3, 1, 4, 3, 4, 3, 3, 2, 3, 1, 0, 4, 3, 3, 4, 2, 2, 1, 3, 4, 0, 0, 2, 3, 0, 2, 3, 1, 4, 2, 4, 0, 4, 1, 4, 4, 1, 2, 0, 1, 0, 4, 4, 2, 0, 1, 0, 0, 0, 0, 0, 1, 3, 0, 0, 4, 0, 3, 3, 4, 3, 0, 1, 4, 1, 2, 0, 1, 2, 1, 0, 0, 1, 3, 2, 0, 0, 4, 3, 4, 2, 1, 2, 2, 0, 1, 4, 1, 2, 1, 0, 0, 0, 3, 2, 0, 2, 3, 4, 4, 0, 3, 0, 3, 0, 4, 3, 0, 2, 3, 2, 4, 1, 3, 2, 1, 3, 3, 4, 0, 1, 2, 1, 3, 4, 2, 0, 1, 0, 0, 3, 2, 0, 4, 2, 0, 2, 1, 4, 1, 0, 0, 4, 2, 2, 1, 4, 2, 3, 3, 0, 3, 3, 0, 4, 4, 4, 3, 2, 1, 4, 0, 4, 1, 0, 4, 2, 0, 2, 1, 3, 0, 2] pubkeycol357 = [0, 0, 0, 2, 2, 3, 4, 0, 4, 0, 4, 1, 3, 2, 0, 1, 3, 2, 4, 1, 1, 4, 0, 3, 2, 3, 1, 1, 1, 0, 0, 2, 1, 2, 4, 3, 3, 3, 0, 4, 1, 4, 3, 3, 3, 0, 4, 3, 0, 3, 3, 2, 3, 1, 4, 3, 3, 2, 1, 0, 2, 2, 3, 2, 2, 3, 0, 0, 0, 3, 4, 1, 3, 3, 4, 3, 4, 1, 4, 3, 0, 3, 1, 0, 4, 2, 4, 0, 3, 1, 0, 4, 4, 0, 0, 0, 0, 0, 1, 3, 3, 2, 2, 1, 1, 3, 2, 0, 1, 1, 1, 4, 3, 3, 3, 3, 0, 1, 3, 4, 0, 3, 2, 2, 2, 1, 2, 2, 0, 3, 3, 4, 4, 2, 3, 2, 3, 3, 0, 3, 2, 2, 1, 2, 2, 4, 4, 1, 3, 0, 0, 0, 4, 4, 4, 1, 2, 1, 2, 0, 1, 3, 4, 4, 4, 2, 1, 0, 2, 1, 4, 3, 0, 0, 1, 4, 3, 3, 3, 2, 2, 1, 0, 3, 4, 1, 1, 4, 2, 4, 0, 3, 4, 3, 2, 0, 4, 4, 2, 0, 0, 1, 0, 0, 2, 0, 4, 4, 3, 0, 0, 2, 1, 4, 1, 1, 4, 1, 2, 2, 4, 3, 3, 0, 2, 3, 0, 3, 3, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 4, 0, 4, 0, 3, 0, 4, 3, 2, 0, 0, 4, 2, 4, 2, 3, 1, 0, 1, 1, 4, 2, 3, 4, 2, 3, 0, 1, 0, 1, 4, 1, 3, 1, 4, 3, 1, 3, 1, 1, 1, 4, 2, 1, 3, 3, 1, 0, 3, 4, 2, 1, 2, 4, 4, 2, 1, 2, 1, 2, 4, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 4, 0, 0, 1, 3, 0, 2, 1] pubkeycol358 = [0, 2, 4, 0, 3, 4, 3, 1, 0, 0, 4, 0, 0, 3, 2, 3, 0, 3, 0, 1, 1, 3, 4, 3, 4, 0, 2, 3, 3, 1, 0, 2, 2, 2, 0, 0, 3, 2, 0, 3, 1, 4, 2, 1, 1, 4, 0, 0, 4, 4, 1, 4, 3, 4, 4, 3, 4, 1, 4, 2, 1, 4, 4, 2, 3, 0, 4, 2, 2, 1, 4, 3, 4, 3, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 3, 4, 1, 0, 2, 1, 0, 4, 2, 1, 1, 1, 1, 3, 4, 2, 0, 1, 4, 4, 4, 3, 0, 4, 0, 2, 3, 2, 1, 1, 0, 1, 3, 0, 4, 1, 3, 0, 0, 0, 2, 1, 0, 2, 4, 2, 2, 0, 0, 3, 3, 1, 0, 3, 2, 0, 4, 2, 0, 4, 0, 1, 0, 2, 3, 2, 4, 2, 0, 4, 4, 2, 3, 2, 4, 3, 0, 4, 1, 3, 0, 4, 2, 1, 3, 1, 3, 3, 0, 2, 2, 0, 2, 3, 0, 4, 2, 0, 1, 0, 1, 1, 4, 1, 1, 3, 4, 4, 0, 3, 4, 3, 2, 1, 2, 2, 3, 4, 2, 4, 3, 3, 0, 2, 1, 3, 1, 1, 4, 0, 2, 2, 3, 0, 3, 3, 1, 3, 0, 2, 1, 0, 0, 2, 1, 1, 3, 0, 4, 2, 2, 2, 2, 4, 4, 2, 4, 2, 3, 3, 2, 0, 0, 0, 2, 2, 0, 1, 4, 1, 4, 1, 2, 0, 2, 2, 3, 0, 2, 0, 3, 0, 4, 1, 3, 4, 2, 1, 3, 0, 2, 4, 4, 4, 3, 1, 3, 1, 1, 2, 3, 3, 2, 3, 2, 4, 0, 3, 1, 0, 2, 1, 2, 2, 2, 1, 1, 4, 4, 2, 4, 0, 2, 2, 1, 1, 4, 3, 3, 2, 2, 2, 0, 1, 2, 4] pubkeycol359 = [1, 3, 2, 1, 2, 1, 2, 2, 3, 1, 2, 0, 1, 2, 4, 1, 3, 4, 2, 0, 4, 4, 3, 0, 1, 2, 4, 1, 3, 0, 4, 0, 3, 4, 0, 3, 1, 4, 2, 4, 2, 1, 2, 2, 0, 3, 3, 4, 3, 1, 0, 3, 3, 1, 1, 1, 1, 1, 3, 4, 3, 0, 3, 4, 2, 3, 0, 1, 4, 3, 0, 1, 2, 0, 4, 1, 1, 0, 1, 2, 4, 3, 0, 0, 4, 3, 3, 0, 4, 4, 4, 4, 1, 2, 2, 1, 4, 1, 2, 0, 3, 2, 2, 2, 1, 3, 4, 4, 2, 3, 1, 0, 0, 2, 0, 3, 4, 3, 2, 4, 2, 0, 0, 4, 2, 0, 2, 0, 3, 3, 4, 3, 4, 1, 4, 0, 2, 3, 3, 4, 0, 2, 1, 4, 3, 0, 3, 0, 1, 3, 2, 0, 1, 4, 0, 2, 2, 4, 2, 3, 0, 4, 4, 4, 4, 3, 0, 3, 3, 1, 1, 1, 1, 4, 0, 4, 0, 0, 0, 3, 0, 0, 3, 4, 0, 2, 4, 1, 0, 2, 2, 1, 3, 0, 4, 4, 4, 4, 2, 0, 2, 0, 3, 0, 0, 4, 0, 4, 2, 3, 3, 1, 0, 4, 3, 1, 2, 1, 4, 3, 4, 3, 4, 0, 0, 0, 1, 3, 1, 2, 4, 3, 4, 3, 4, 1, 0, 2, 1, 0, 3, 3, 3, 4, 0, 4, 1, 4, 0, 2, 2, 0, 1, 3, 4, 3, 2, 0, 1, 2, 4, 0, 4, 1, 0, 4, 0, 0, 4, 1, 1, 3, 3, 0, 0, 1, 1, 3, 0, 2, 2, 2, 3, 4, 1, 1, 1, 1, 0, 0, 0, 3, 4, 4, 3, 3, 1, 3, 0, 4, 1, 4, 0, 2, 1, 1, 4, 3, 3, 4, 1, 1, 0, 1, 3, 4, 3, 0, 1, 2] pubkeycol360 = [3, 2, 1, 0, 0, 2, 1, 4, 3, 3, 1, 3, 3, 2, 0, 2, 3, 3, 2, 4, 3, 2, 1, 3, 0, 0, 1, 1, 3, 1, 3, 2, 1, 3, 0, 4, 2, 0, 2, 1, 4, 4, 2, 0, 0, 0, 3, 3, 3, 4, 3, 2, 1, 0, 1, 4, 0, 3, 1, 4, 0, 2, 1, 1, 2, 4, 4, 1, 4, 3, 0, 2, 3, 0, 1, 1, 0, 1, 3, 3, 1, 2, 2, 0, 1, 1, 3, 1, 2, 0, 0, 4, 3, 0, 4, 3, 4, 1, 0, 1, 1, 1, 0, 3, 2, 0, 1, 2, 2, 1, 1, 0, 3, 2, 3, 2, 3, 4, 3, 3, 2, 4, 2, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 1, 4, 2, 4, 4, 3, 2, 3, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 3, 2, 4, 0, 1, 2, 3, 4, 3, 0, 3, 0, 2, 4, 0, 4, 0, 2, 4, 2, 1, 4, 0, 2, 4, 0, 1, 3, 4, 2, 1, 0, 2, 1, 3, 3, 0, 3, 4, 3, 0, 0, 0, 0, 2, 3, 2, 1, 4, 2, 1, 4, 1, 1, 1, 0, 0, 4, 3, 1, 3, 1, 3, 1, 2, 4, 1, 2, 2, 1, 3, 3, 1, 0, 4, 2, 1, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 4, 1, 2, 1, 4, 1, 0, 2, 4, 2, 4, 1, 2, 3, 4, 0, 3, 1, 1, 4, 1, 2, 4, 2, 0, 3, 3, 2, 2, 0, 0, 0, 3, 0, 4, 4, 4, 3, 0, 2, 1, 4, 4, 2, 0, 3, 1, 0, 3, 3, 0, 4, 1, 2, 2, 4, 2, 4, 4, 1, 2, 4, 0, 4, 1, 3, 0, 4, 3, 2, 3, 4, 4, 3, 2, 1, 1, 2] pubkeycol361 = [0, 0, 3, 0, 2, 2, 4, 2, 0, 3, 1, 1, 2, 4, 3, 4, 4, 4, 3, 4, 1, 4, 3, 2, 2, 2, 4, 3, 2, 1, 3, 2, 4, 0, 4, 0, 0, 4, 4, 2, 2, 4, 2, 3, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 4, 3, 1, 4, 3, 4, 3, 3, 3, 3, 3, 2, 1, 4, 4, 1, 3, 2, 0, 2, 0, 3, 3, 3, 1, 1, 4, 1, 1, 4, 1, 1, 3, 1, 0, 2, 0, 2, 2, 4, 1, 1, 0, 2, 4, 1, 3, 3, 4, 4, 2, 0, 2, 4, 3, 4, 2, 3, 4, 2, 1, 1, 3, 2, 4, 3, 0, 2, 2, 2, 0, 3, 2, 2, 1, 2, 0, 1, 3, 3, 1, 2, 1, 2, 0, 4, 3, 2, 3, 4, 4, 3, 0, 3, 0, 3, 3, 1, 4, 0, 0, 3, 3, 0, 0, 4, 3, 0, 4, 0, 3, 2, 2, 4, 0, 4, 1, 3, 3, 4, 3, 2, 0, 2, 3, 2, 1, 1, 1, 0, 2, 4, 0, 4, 4, 3, 0, 1, 4, 2, 0, 0, 2, 4, 0, 2, 3, 3, 4, 1, 2, 2, 0, 3, 0, 1, 3, 0, 0, 3, 4, 2, 3, 1, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 4, 1, 1, 4, 0, 0, 1, 1, 4, 2, 4, 3, 2, 4, 1, 4, 4, 4, 4, 0, 0, 0, 4, 3, 2, 2, 0, 4, 0, 2, 1, 3, 1, 4, 2, 2, 0, 3, 3, 0, 4, 1, 4, 0, 3, 2, 1, 4, 0, 3, 0, 0, 4, 3, 3, 1, 2, 2, 2, 1, 2, 2, 1, 4, 2, 0, 4, 0, 3, 2, 0, 4, 4, 2, 0, 2, 0, 0, 3, 2, 2, 4, 3, 1, 1, 0, 1, 1, 3, 1] pubkeycol362 = [3, 0, 1, 0, 4, 3, 4, 4, 2, 2, 2, 1, 3, 1, 0, 4, 0, 4, 0, 1, 1, 4, 3, 2, 4, 0, 4, 1, 4, 0, 1, 3, 2, 0, 1, 1, 4, 2, 2, 3, 4, 4, 2, 4, 3, 3, 0, 2, 0, 3, 1, 2, 4, 0, 3, 0, 3, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 3, 4, 1, 2, 1, 3, 0, 4, 2, 1, 4, 3, 1, 4, 0, 1, 4, 3, 1, 4, 3, 1, 2, 2, 4, 4, 4, 0, 4, 3, 4, 0, 3, 2, 0, 3, 1, 2, 3, 2, 3, 3, 0, 1, 1, 1, 3, 2, 4, 0, 3, 0, 0, 0, 2, 0, 4, 3, 1, 2, 3, 2, 0, 0, 2, 0, 4, 4, 3, 1, 3, 0, 3, 1, 2, 0, 3, 4, 3, 3, 1, 2, 2, 0, 4, 3, 1, 4, 2, 0, 1, 3, 0, 4, 1, 3, 1, 3, 4, 0, 1, 2, 4, 3, 2, 4, 4, 4, 4, 3, 2, 3, 2, 1, 4, 4, 2, 4, 3, 3, 2, 4, 2, 2, 0, 1, 4, 3, 1, 0, 3, 0, 4, 0, 3, 0, 2, 3, 2, 0, 0, 4, 2, 2, 3, 0, 0, 0, 4, 4, 4, 3, 4, 0, 1, 4, 3, 2, 0, 4, 4, 0, 1, 4, 4, 3, 2, 1, 4, 3, 4, 2, 2, 0, 0, 2, 4, 3, 4, 4, 0, 4, 2, 2, 4, 1, 4, 0, 2, 1, 3, 2, 0, 1, 4, 1, 1, 2, 2, 4, 0, 3, 2, 1, 4, 4, 1, 0, 0, 2, 3, 2, 3, 4, 1, 4, 0, 2, 4, 2, 3, 1, 0, 0, 3, 4, 0, 3, 0, 3, 1, 0, 1, 4, 0, 2, 0, 2, 4, 3, 1, 2, 0, 0, 2, 3, 2, 2, 4, 3, 1, 0] pubkeycol363 = [4, 3, 3, 3, 4, 3, 3, 4, 4, 1, 1, 0, 0, 3, 0, 4, 4, 1, 3, 1, 0, 3, 1, 3, 3, 0, 3, 1, 4, 2, 4, 1, 3, 0, 3, 1, 3, 4, 3, 2, 0, 3, 2, 3, 3, 0, 2, 1, 1, 3, 2, 4, 4, 0, 4, 3, 4, 1, 4, 1, 3, 2, 2, 3, 4, 1, 1, 4, 4, 4, 0, 4, 2, 2, 3, 4, 2, 0, 0, 2, 3, 0, 1, 2, 3, 1, 1, 2, 3, 4, 4, 4, 2, 4, 3, 2, 1, 3, 3, 3, 2, 0, 4, 4, 2, 2, 1, 4, 0, 2, 0, 1, 2, 1, 4, 2, 1, 1, 0, 1, 2, 0, 4, 1, 4, 1, 2, 4, 1, 4, 0, 4, 4, 4, 1, 2, 3, 3, 2, 2, 1, 3, 2, 1, 0, 2, 4, 4, 3, 4, 0, 1, 4, 3, 1, 2, 1, 2, 2, 2, 0, 3, 0, 1, 4, 2, 2, 4, 4, 4, 4, 4, 3, 2, 0, 1, 2, 1, 4, 1, 2, 1, 1, 3, 4, 1, 3, 2, 0, 4, 1, 1, 1, 2, 3, 1, 3, 0, 1, 3, 2, 0, 0, 0, 3, 2, 1, 4, 0, 2, 1, 0, 0, 3, 3, 3, 2, 0, 0, 1, 4, 1, 3, 0, 3, 2, 1, 1, 0, 3, 3, 0, 1, 3, 3, 1, 2, 1, 1, 3, 1, 0, 0, 0, 4, 0, 4, 2, 1, 0, 2, 2, 1, 1, 1, 3, 4, 4, 0, 0, 3, 4, 4, 3, 1, 0, 2, 1, 0, 3, 1, 0, 1, 4, 1, 1, 2, 2, 4, 4, 4, 3, 0, 4, 2, 1, 3, 2, 0, 2, 3, 4, 4, 3, 3, 3, 0, 1, 0, 0, 3, 4, 2, 3, 2, 3, 0, 2, 2, 3, 0, 4, 3, 4, 4, 4, 3, 0, 2, 2] pubkeycol364 = [3, 2, 2, 4, 1, 0, 3, 4, 4, 4, 4, 2, 1, 3, 0, 3, 2, 2, 1, 0, 2, 3, 3, 1, 3, 2, 4, 0, 3, 1, 2, 0, 0, 3, 0, 0, 1, 3, 0, 0, 0, 1, 2, 4, 2, 2, 0, 3, 4, 2, 3, 0, 3, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 3, 3, 4, 4, 4, 3, 4, 1, 2, 4, 3, 1, 0, 2, 3, 1, 3, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 3, 3, 3, 1, 0, 4, 3, 4, 0, 0, 3, 4, 0, 4, 4, 3, 4, 4, 4, 1, 4, 4, 3, 1, 4, 3, 0, 2, 3, 4, 3, 2, 4, 3, 2, 1, 1, 4, 2, 1, 2, 0, 2, 1, 0, 3, 2, 4, 4, 4, 3, 4, 3, 2, 1, 1, 0, 2, 4, 2, 3, 3, 4, 2, 0, 3, 2, 0, 2, 4, 4, 4, 1, 2, 3, 1, 4, 0, 2, 1, 0, 3, 3, 3, 2, 0, 1, 0, 4, 1, 1, 3, 1, 0, 4, 0, 3, 2, 1, 2, 0, 0, 3, 2, 0, 1, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 4, 3, 3, 0, 4, 4, 1, 3, 0, 0, 1, 2, 2, 1, 1, 2, 4, 1, 1, 4, 4, 1, 0, 4, 4, 4, 0, 4, 1, 3, 4, 3, 0, 1, 4, 2, 0, 1, 3, 0, 1, 0, 0, 2, 1, 1, 2, 2, 3, 3, 4, 2, 3, 1, 2, 4, 0, 4, 3, 1, 0, 4, 0, 1, 1, 0, 0, 0, 2, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 0, 1, 1, 3, 1, 1, 1, 0, 4, 0, 2, 3, 2, 4, 4, 4, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 3] pubkeycol365 = [2, 0, 4, 0, 0, 1, 3, 2, 3, 4, 4, 3, 0, 4, 2, 2, 1, 1, 1, 2, 2, 4, 2, 0, 1, 4, 3, 2, 4, 1, 0, 3, 2, 3, 1, 3, 2, 2, 2, 0, 1, 1, 1, 4, 2, 3, 2, 3, 4, 4, 1, 3, 3, 4, 3, 3, 3, 1, 2, 3, 2, 2, 1, 0, 0, 4, 0, 4, 4, 2, 2, 4, 0, 0, 3, 2, 3, 4, 0, 4, 3, 1, 1, 3, 0, 2, 3, 3, 2, 2, 1, 4, 4, 2, 1, 0, 2, 2, 4, 3, 0, 2, 3, 0, 0, 3, 1, 3, 0, 3, 2, 1, 2, 3, 4, 2, 4, 1, 0, 1, 1, 1, 1, 4, 0, 1, 0, 3, 1, 3, 3, 1, 1, 0, 2, 4, 4, 0, 4, 3, 4, 3, 0, 0, 1, 3, 3, 0, 3, 3, 0, 4, 2, 0, 0, 2, 2, 2, 3, 2, 2, 4, 2, 2, 2, 1, 4, 2, 3, 4, 0, 3, 1, 4, 0, 2, 0, 2, 0, 1, 4, 3, 4, 4, 3, 1, 3, 0, 0, 1, 2, 3, 4, 3, 3, 1, 4, 3, 0, 0, 1, 0, 3, 2, 0, 4, 3, 1, 4, 0, 2, 3, 0, 2, 1, 2, 4, 3, 3, 2, 1, 3, 4, 0, 4, 0, 2, 0, 4, 1, 3, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 4, 2, 3, 3, 4, 3, 2, 2, 3, 0, 0, 3, 4, 2, 4, 1, 3, 2, 1, 0, 0, 1, 2, 0, 3, 4, 4, 3, 4, 4, 2, 2, 3, 2, 4, 2, 2, 3, 3, 0, 3, 0, 0, 3, 2, 0, 4, 4, 4, 3, 2, 0, 1, 2, 1, 0, 1, 0, 3, 0, 1, 4, 3, 4, 1, 1, 4, 0, 4, 2, 1, 0, 3, 4, 4, 4, 3, 2, 2] pubkeycol366 = [4, 3, 0, 2, 0, 2, 2, 2, 4, 0, 4, 2, 1, 4, 0, 4, 2, 4, 4, 0, 2, 4, 1, 2, 0, 0, 2, 0, 3, 3, 2, 3, 0, 2, 4, 1, 0, 3, 1, 2, 4, 4, 3, 2, 4, 0, 3, 4, 2, 3, 4, 1, 2, 4, 2, 2, 4, 4, 4, 1, 4, 1, 3, 3, 0, 0, 0, 2, 1, 1, 4, 1, 3, 1, 1, 2, 0, 4, 1, 2, 2, 0, 1, 1, 4, 0, 0, 1, 0, 0, 3, 1, 4, 0, 4, 1, 3, 3, 4, 0, 2, 4, 1, 0, 2, 4, 1, 4, 1, 3, 0, 0, 4, 3, 2, 1, 1, 0, 3, 0, 4, 2, 2, 1, 2, 2, 0, 4, 0, 4, 3, 1, 2, 3, 0, 1, 1, 0, 3, 1, 0, 2, 2, 2, 1, 0, 2, 4, 1, 4, 1, 2, 1, 0, 3, 4, 3, 1, 3, 1, 3, 1, 2, 4, 4, 3, 1, 1, 0, 3, 4, 2, 1, 0, 2, 4, 3, 3, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 3, 1, 0, 0, 0, 0, 3, 3, 3, 1, 2, 1, 2, 4, 2, 0, 0, 3, 3, 0, 2, 0, 2, 2, 4, 1, 2, 4, 2, 3, 3, 4, 1, 4, 1, 3, 3, 3, 0, 1, 3, 4, 4, 0, 2, 2, 0, 4, 4, 4, 2, 3, 2, 3, 3, 1, 2, 0, 0, 1, 0, 4, 1, 3, 3, 0, 2, 2, 3, 3, 3, 0, 1, 3, 0, 3, 1, 4, 0, 4, 4, 3, 3, 0, 4, 2, 4, 3, 4, 0, 3, 0, 2, 2, 3, 2, 4, 3, 3, 0, 4, 4, 4, 4, 1, 0, 3, 2, 4, 4, 1, 3, 2, 0, 4, 2, 3, 3, 0, 0, 2, 0, 1, 2, 0, 0, 1, 4, 3, 4, 3, 1] pubkeycol367 = [4, 0, 4, 3, 3, 1, 0, 0, 1, 3, 0, 3, 1, 0, 2, 4, 1, 3, 1, 2, 0, 2, 2, 1, 3, 1, 3, 1, 2, 1, 1, 1, 4, 3, 3, 4, 4, 1, 1, 1, 1, 3, 3, 4, 1, 1, 2, 4, 2, 3, 1, 0, 3, 3, 3, 0, 1, 1, 4, 3, 3, 1, 1, 4, 2, 1, 1, 1, 4, 1, 0, 4, 0, 2, 3, 1, 0, 3, 1, 1, 0, 0, 1, 3, 3, 4, 3, 2, 1, 1, 2, 0, 0, 4, 1, 0, 1, 4, 2, 3, 4, 3, 3, 4, 3, 0, 1, 3, 1, 3, 1, 0, 0, 2, 1, 4, 1, 1, 2, 3, 0, 4, 2, 0, 3, 1, 1, 0, 1, 4, 2, 2, 4, 2, 4, 1, 4, 0, 1, 1, 0, 4, 0, 1, 2, 2, 3, 2, 3, 2, 3, 4, 0, 3, 4, 2, 0, 4, 4, 3, 2, 0, 4, 4, 2, 1, 2, 2, 0, 2, 4, 3, 0, 0, 2, 4, 2, 4, 1, 1, 2, 3, 0, 4, 2, 3, 0, 0, 4, 3, 0, 3, 2, 0, 1, 0, 4, 1, 2, 3, 0, 0, 0, 2, 3, 4, 1, 3, 4, 2, 3, 1, 4, 2, 0, 1, 3, 4, 0, 3, 2, 4, 2, 1, 1, 0, 0, 0, 0, 3, 1, 1, 2, 4, 1, 2, 3, 4, 4, 4, 3, 2, 2, 1, 0, 1, 0, 3, 1, 1, 4, 0, 4, 1, 4, 3, 3, 2, 3, 4, 0, 4, 3, 2, 1, 4, 1, 2, 3, 4, 0, 1, 4, 3, 0, 1, 0, 2, 0, 2, 2, 2, 4, 2, 0, 2, 4, 1, 0, 3, 3, 3, 1, 3, 3, 3, 0, 0, 2, 0, 4, 0, 4, 2, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 1, 0, 0, 1, 1] pubkeycol368 = [4, 4, 2, 3, 1, 4, 4, 3, 0, 1, 4, 4, 2, 4, 2, 4, 2, 2, 0, 0, 0, 3, 0, 4, 1, 1, 0, 2, 2, 1, 0, 3, 1, 3, 1, 3, 0, 2, 0, 3, 3, 1, 2, 1, 1, 3, 4, 0, 1, 2, 3, 0, 0, 3, 4, 4, 2, 4, 4, 4, 4, 2, 2, 4, 2, 3, 4, 4, 1, 2, 4, 0, 4, 4, 1, 0, 1, 1, 0, 1, 1, 1, 3, 0, 4, 0, 3, 1, 2, 4, 3, 0, 4, 0, 0, 2, 3, 4, 2, 3, 1, 1, 3, 2, 0, 1, 0, 2, 0, 1, 1, 2, 4, 2, 2, 3, 0, 2, 2, 0, 0, 4, 0, 4, 0, 3, 2, 2, 0, 4, 0, 0, 4, 2, 0, 0, 1, 4, 0, 3, 4, 3, 3, 3, 3, 0, 4, 3, 4, 2, 0, 0, 4, 0, 3, 2, 0, 0, 4, 3, 3, 1, 4, 0, 3, 3, 3, 0, 0, 3, 3, 3, 1, 0, 4, 1, 3, 2, 4, 1, 4, 4, 0, 0, 2, 3, 4, 1, 0, 0, 0, 0, 0, 1, 2, 0, 3, 0, 3, 3, 1, 3, 1, 4, 2, 1, 4, 4, 2, 1, 4, 1, 1, 2, 0, 2, 4, 0, 0, 0, 1, 4, 0, 4, 2, 1, 3, 3, 0, 3, 2, 3, 3, 0, 1, 4, 2, 4, 3, 3, 0, 2, 3, 4, 4, 3, 0, 4, 2, 0, 2, 0, 3, 4, 0, 2, 1, 4, 0, 2, 3, 0, 0, 4, 4, 4, 3, 0, 0, 0, 0, 2, 2, 1, 4, 2, 1, 3, 1, 0, 0, 2, 4, 2, 2, 3, 0, 2, 3, 2, 3, 4, 0, 3, 2, 1, 3, 4, 0, 2, 4, 0, 0, 2, 1, 1, 0, 0, 3, 0, 2, 0, 0, 4, 1, 3, 4, 0, 0, 2] pubkeycol369 = [2, 3, 0, 1, 4, 1, 4, 1, 1, 0, 1, 3, 4, 4, 0, 0, 4, 1, 4, 2, 0, 3, 2, 2, 3, 1, 3, 4, 3, 4, 2, 1, 2, 4, 1, 0, 3, 1, 2, 3, 4, 1, 4, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 1, 0, 0, 1, 1, 3, 2, 0, 1, 2, 0, 1, 1, 0, 1, 3, 0, 3, 0, 0, 2, 0, 1, 0, 3, 4, 3, 2, 1, 2, 1, 2, 3, 4, 0, 0, 4, 3, 4, 2, 0, 4, 3, 3, 1, 2, 4, 4, 2, 0, 1, 0, 1, 3, 1, 2, 2, 4, 1, 4, 0, 3, 1, 3, 1, 3, 0, 1, 2, 1, 4, 3, 1, 2, 0, 3, 2, 0, 3, 3, 2, 1, 2, 4, 3, 1, 2, 2, 4, 3, 1, 4, 2, 0, 2, 0, 4, 0, 0, 3, 1, 4, 2, 4, 3, 0, 3, 3, 3, 1, 4, 3, 0, 2, 1, 0, 4, 1, 0, 3, 3, 4, 3, 0, 0, 1, 3, 3, 3, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 4, 0, 1, 2, 2, 3, 4, 3, 4, 3, 4, 1, 2, 3, 1, 0, 1, 1, 1, 0, 0, 3, 2, 3, 3, 4, 2, 4, 4, 4, 4, 4, 4, 1, 1, 4, 0, 4, 0, 4, 2, 2, 3, 4, 0, 4, 2, 1, 4, 1, 2, 3, 1, 1, 0, 2, 3, 0, 4, 4, 3, 0, 3, 0, 0, 4, 3, 4, 0, 1, 4, 3, 3, 0, 4, 4, 2, 0, 2, 4, 0, 4, 0, 2, 0, 3, 2, 2, 0, 3, 0, 3, 0, 1, 1, 1, 2, 3, 3, 4, 0, 0, 1, 1, 0, 3, 1, 1, 0, 0, 3, 3, 0, 1, 3, 3, 4, 1, 3, 1, 0, 3, 2, 1, 3, 4, 3, 1] pubkeycol370 = [4, 2, 1, 2, 1, 2, 0, 3, 0, 4, 1, 1, 2, 3, 0, 3, 0, 1, 4, 3, 4, 3, 0, 4, 1, 1, 4, 2, 0, 4, 3, 2, 0, 4, 1, 1, 3, 0, 3, 0, 4, 4, 0, 0, 3, 2, 2, 2, 3, 1, 0, 3, 2, 0, 2, 0, 4, 0, 3, 0, 0, 0, 0, 4, 0, 1, 3, 1, 4, 3, 4, 1, 3, 4, 0, 3, 4, 1, 1, 0, 3, 1, 0, 2, 1, 3, 2, 2, 4, 3, 3, 4, 3, 4, 1, 3, 3, 2, 1, 3, 0, 3, 4, 3, 0, 4, 0, 4, 2, 4, 2, 4, 4, 0, 2, 3, 1, 1, 4, 2, 4, 2, 4, 3, 1, 3, 1, 2, 4, 2, 1, 3, 1, 4, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 3, 1, 0, 1, 4, 3, 3, 2, 2, 0, 2, 0, 1, 1, 0, 4, 4, 0, 4, 0, 2, 3, 2, 4, 2, 0, 0, 1, 0, 2, 3, 1, 0, 0, 1, 3, 2, 0, 2, 3, 2, 0, 0, 1, 0, 3, 3, 1, 1, 4, 3, 4, 2, 4, 2, 3, 0, 3, 4, 4, 4, 2, 4, 2, 4, 4, 2, 2, 1, 0, 1, 4, 2, 4, 0, 0, 4, 3, 0, 1, 1, 1, 4, 2, 3, 2, 4, 1, 2, 1, 1, 1, 2, 4, 3, 0, 2, 0, 1, 1, 4, 4, 1, 1, 1, 4, 2, 4, 1, 3, 2, 0, 1, 4, 1, 1, 2, 0, 0, 0, 2, 2, 4, 2, 2, 4, 1, 1, 2, 1, 3, 1, 2, 2, 4, 4, 1, 2, 4, 1, 1, 1, 1, 0, 2, 2, 4, 4, 4, 4, 4, 2, 0, 0, 3, 1, 1, 3, 2, 2, 1, 0, 3, 2, 1, 1, 1, 0, 3, 2, 0, 2, 1, 4, 0] pubkeycol371 = [3, 0, 3, 3, 2, 4, 3, 1, 1, 2, 1, 0, 3, 4, 4, 2, 0, 0, 3, 4, 0, 4, 4, 2, 0, 3, 3, 1, 1, 4, 2, 3, 0, 2, 3, 3, 3, 4, 2, 4, 0, 2, 4, 2, 1, 0, 2, 2, 1, 4, 2, 0, 3, 4, 3, 1, 1, 0, 3, 3, 4, 1, 4, 4, 4, 0, 0, 0, 1, 0, 1, 2, 0, 4, 3, 2, 3, 3, 2, 2, 1, 4, 0, 1, 3, 1, 4, 1, 1, 2, 3, 4, 2, 1, 1, 1, 2, 0, 3, 2, 3, 3, 2, 3, 3, 4, 3, 4, 3, 3, 0, 2, 2, 2, 4, 4, 0, 0, 3, 1, 1, 4, 1, 1, 2, 4, 4, 4, 2, 2, 4, 1, 4, 1, 4, 0, 4, 2, 1, 1, 2, 0, 1, 2, 3, 0, 2, 2, 1, 1, 4, 4, 4, 2, 0, 2, 0, 3, 1, 1, 2, 4, 0, 2, 1, 2, 3, 2, 3, 1, 4, 4, 4, 2, 4, 0, 1, 4, 1, 0, 4, 3, 1, 3, 4, 3, 1, 1, 1, 1, 4, 1, 1, 1, 3, 4, 0, 3, 4, 2, 0, 4, 1, 1, 4, 0, 4, 2, 4, 4, 1, 0, 1, 2, 4, 4, 4, 2, 0, 4, 2, 0, 1, 2, 3, 3, 4, 0, 1, 0, 3, 3, 4, 0, 0, 4, 4, 4, 4, 0, 2, 2, 0, 4, 4, 1, 3, 4, 3, 0, 0, 0, 2, 2, 0, 2, 4, 4, 0, 2, 2, 4, 4, 2, 4, 2, 4, 2, 2, 4, 3, 1, 1, 4, 2, 0, 4, 0, 1, 0, 0, 3, 2, 2, 3, 2, 3, 1, 2, 4, 0, 3, 1, 1, 2, 3, 0, 3, 2, 0, 4, 4, 0, 3, 3, 0, 4, 3, 3, 0, 3, 0, 0, 2, 4, 2, 3, 0, 2, 2] pubkeycol372 = [3, 2, 2, 1, 4, 3, 0, 1, 3, 0, 0, 4, 2, 4, 4, 0, 0, 3, 2, 0, 2, 2, 0, 1, 0, 4, 0, 3, 2, 3, 1, 0, 1, 1, 3, 0, 1, 1, 3, 4, 0, 2, 3, 1, 2, 2, 1, 0, 4, 3, 3, 3, 1, 1, 2, 4, 2, 3, 0, 2, 4, 0, 3, 0, 4, 2, 3, 0, 0, 2, 1, 2, 3, 4, 1, 2, 3, 4, 4, 2, 0, 3, 3, 2, 3, 4, 2, 4, 0, 1, 0, 1, 2, 3, 1, 4, 3, 4, 1, 4, 3, 4, 1, 1, 3, 0, 4, 0, 2, 2, 4, 3, 1, 4, 2, 2, 3, 4, 1, 0, 0, 1, 2, 2, 4, 4, 3, 3, 2, 0, 2, 0, 0, 1, 0, 3, 1, 1, 2, 0, 2, 0, 2, 2, 1, 3, 4, 0, 2, 2, 1, 3, 4, 3, 3, 0, 3, 1, 0, 0, 1, 3, 0, 1, 1, 3, 0, 0, 2, 4, 1, 4, 2, 0, 1, 4, 4, 4, 3, 1, 3, 3, 3, 3, 2, 2, 2, 4, 1, 3, 3, 3, 0, 4, 4, 1, 3, 0, 0, 3, 2, 4, 3, 2, 0, 3, 2, 1, 3, 4, 4, 0, 3, 1, 1, 4, 3, 0, 1, 3, 0, 3, 3, 4, 0, 4, 0, 1, 0, 0, 1, 1, 0, 3, 4, 2, 0, 2, 2, 0, 0, 3, 2, 3, 2, 4, 4, 4, 2, 1, 2, 4, 4, 0, 4, 3, 3, 0, 4, 2, 2, 1, 0, 2, 1, 4, 3, 0, 2, 3, 3, 4, 1, 0, 0, 1, 1, 0, 1, 3, 1, 4, 0, 4, 4, 4, 2, 2, 4, 3, 4, 2, 2, 0, 3, 3, 0, 1, 1, 1, 2, 2, 3, 3, 3, 1, 4, 3, 3, 3, 2, 2, 1, 3, 2, 1, 3, 0, 0, 0] pubkeycol373 = [3, 2, 4, 2, 2, 1, 4, 1, 3, 3, 0, 3, 0, 3, 2, 1, 1, 2, 0, 3, 2, 1, 1, 4, 1, 3, 4, 1, 0, 1, 4, 1, 0, 1, 2, 0, 3, 2, 3, 1, 3, 4, 0, 3, 2, 2, 1, 2, 0, 0, 0, 4, 1, 3, 1, 4, 1, 4, 0, 0, 2, 0, 2, 2, 3, 2, 0, 0, 4, 3, 1, 1, 3, 1, 4, 4, 1, 0, 1, 1, 2, 3, 3, 2, 2, 4, 3, 4, 3, 0, 0, 3, 0, 3, 4, 0, 0, 0, 3, 0, 2, 3, 2, 0, 4, 1, 4, 1, 3, 4, 4, 1, 3, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 3, 1, 1, 4, 4, 3, 3, 0, 3, 1, 2, 0, 1, 2, 0, 0, 3, 4, 1, 1, 0, 3, 2, 0, 2, 3, 3, 2, 4, 0, 3, 2, 2, 0, 1, 4, 4, 0, 0, 0, 0, 2, 4, 2, 2, 3, 0, 1, 3, 4, 0, 0, 4, 0, 3, 4, 2, 3, 2, 0, 2, 3, 2, 1, 0, 2, 3, 2, 2, 1, 0, 4, 2, 4, 0, 4, 2, 2, 3, 0, 0, 4, 0, 0, 2, 3, 4, 2, 2, 4, 3, 0, 3, 4, 1, 3, 2, 3, 2, 3, 4, 2, 3, 3, 1, 3, 3, 0, 1, 4, 1, 0, 2, 4, 3, 1, 1, 0, 3, 3, 4, 4, 2, 2, 4, 2, 4, 4, 1, 1, 1, 3, 1, 3, 0, 4, 3, 3, 2, 2, 4, 4, 4, 1, 0, 2, 2, 0, 2, 4, 0, 2, 1, 2, 0, 4, 1, 2, 4, 2, 2, 1, 1, 1, 0, 0, 0, 3, 0, 1, 2, 4, 1, 4, 2, 4, 1, 4, 2, 3, 4, 3, 3, 0, 3, 3, 0, 1, 3, 0, 3, 4, 4, 3, 2, 0] pubkeycol374 = [0, 3, 4, 3, 4, 4, 1, 0, 4, 4, 4, 1, 2, 4, 1, 1, 0, 0, 1, 0, 0, 1, 4, 0, 4, 1, 4, 1, 4, 4, 4, 3, 3, 3, 0, 4, 3, 4, 4, 3, 3, 1, 3, 4, 1, 0, 3, 0, 2, 1, 3, 1, 0, 0, 4, 4, 3, 1, 3, 0, 2, 1, 1, 1, 4, 1, 0, 1, 4, 2, 0, 2, 2, 4, 3, 3, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 4, 3, 3, 2, 2, 4, 2, 0, 1, 4, 0, 1, 4, 2, 1, 3, 4, 4, 0, 4, 3, 3, 2, 4, 3, 0, 1, 2, 4, 0, 3, 4, 3, 0, 3, 4, 4, 2, 3, 4, 0, 4, 0, 4, 3, 0, 0, 2, 0, 4, 4, 4, 3, 3, 4, 2, 3, 1, 0, 3, 2, 0, 1, 4, 4, 1, 2, 4, 1, 1, 2, 1, 2, 3, 2, 3, 4, 4, 1, 0, 2, 1, 2, 1, 3, 1, 0, 0, 3, 4, 4, 4, 2, 3, 2, 4, 3, 1, 3, 2, 2, 3, 2, 1, 1, 1, 3, 0, 2, 0, 4, 4, 2, 1, 0, 2, 3, 1, 2, 2, 4, 0, 4, 4, 1, 2, 2, 0, 3, 1, 1, 2, 0, 0, 3, 2, 0, 1, 3, 3, 1, 1, 4, 1, 1, 3, 0, 3, 0, 3, 1, 4, 3, 1, 4, 3, 2, 0, 2, 1, 3, 2, 4, 1, 4, 1, 1, 0, 3, 3, 2, 4, 2, 1, 4, 1, 3, 4, 2, 4, 4, 1, 2, 1, 0, 4, 3, 0, 3, 3, 3, 3, 3, 1, 3, 4, 2, 4, 3, 0, 2, 0, 0, 1, 4, 3, 2, 2, 3, 3, 3, 3, 3, 4, 0, 0, 4, 4, 2, 2, 0, 4, 0, 3, 0, 3, 4, 1, 0, 2, 2] pubkeycol375 = [4, 0, 4, 3, 0, 4, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 4, 2, 0, 0, 4, 0, 3, 0, 4, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 3, 3, 0, 1, 3, 0, 0, 0, 3, 0, 2, 4, 3, 4, 4, 2, 0, 4, 0, 2, 4, 3, 0, 0, 1, 3, 0, 1, 1, 4, 0, 2, 2, 0, 4, 3, 2, 3, 1, 1, 1, 1, 0, 3, 3, 0, 4, 2, 2, 3, 1, 0, 2, 1, 3, 1, 4, 4, 0, 2, 4, 2, 2, 4, 0, 0, 2, 0, 3, 0, 4, 1, 2, 2, 1, 1, 3, 4, 0, 3, 4, 3, 3, 2, 2, 1, 2, 1, 0, 3, 2, 3, 0, 0, 4, 3, 1, 0, 4, 3, 0, 2, 0, 0, 0, 2, 4, 0, 0, 3, 0, 4, 3, 0, 4, 0, 2, 3, 4, 2, 3, 2, 4, 4, 4, 0, 0, 2, 4, 4, 4, 3, 2, 2, 1, 2, 0, 2, 2, 4, 2, 3, 0, 3, 0, 3, 2, 2, 0, 0, 3, 3, 3, 1, 4, 1, 0, 1, 0, 3, 2, 2, 0, 3, 4, 1, 1, 2, 4, 4, 2, 1, 1, 3, 2, 0, 3, 1, 2, 2, 4, 1, 3, 0, 4, 2, 2, 0, 3, 0, 4, 2, 4, 3, 1, 3, 2, 0, 4, 3, 4, 4, 2, 1, 3, 1, 3, 1, 3, 0, 2, 4, 3, 2, 1, 0, 3, 4, 0, 1, 1, 4, 1, 4, 4, 4, 4, 4, 1, 3, 1, 4, 1, 4, 1, 4, 1, 3, 3, 3, 4, 2, 0, 0, 0, 0, 3, 3, 2, 1, 3, 2, 3, 4, 2, 4, 4, 4, 4, 2, 0, 2, 0, 4, 3, 1, 4, 0, 2, 1, 2, 1, 4, 2, 2, 2, 1, 3, 4, 2, 1, 2, 3] pubkeycol376 = [3, 1, 0, 1, 3, 4, 4, 1, 0, 4, 0, 0, 1, 1, 3, 3, 1, 0, 4, 0, 4, 3, 4, 2, 2, 3, 4, 2, 0, 4, 4, 0, 0, 2, 1, 1, 4, 0, 1, 1, 4, 4, 3, 2, 2, 0, 0, 3, 2, 3, 4, 4, 0, 4, 2, 0, 3, 4, 4, 3, 4, 4, 0, 4, 4, 0, 4, 3, 2, 3, 2, 3, 4, 1, 3, 4, 1, 3, 3, 3, 2, 3, 3, 0, 3, 0, 1, 0, 1, 1, 4, 0, 3, 2, 4, 2, 3, 4, 4, 4, 2, 4, 2, 2, 3, 0, 0, 2, 1, 0, 4, 4, 0, 2, 1, 0, 2, 3, 4, 2, 1, 4, 0, 4, 4, 2, 2, 0, 1, 3, 1, 2, 1, 2, 3, 2, 1, 2, 2, 1, 3, 0, 2, 2, 4, 4, 1, 3, 4, 4, 0, 4, 2, 2, 4, 1, 3, 4, 0, 3, 0, 1, 2, 4, 0, 2, 0, 4, 1, 0, 2, 3, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 0, 1, 3, 3, 4, 4, 3, 1, 0, 3, 2, 0, 3, 3, 4, 2, 1, 0, 0, 3, 4, 2, 3, 4, 1, 2, 3, 3, 2, 4, 3, 3, 2, 0, 2, 0, 1, 0, 3, 0, 1, 1, 0, 3, 2, 3, 3, 3, 0, 1, 4, 3, 1, 1, 0, 0, 2, 3, 1, 1, 0, 3, 4, 1, 2, 3, 2, 4, 1, 4, 2, 2, 3, 1, 0, 0, 3, 1, 3, 0, 2, 1, 4, 1, 1, 2, 3, 1, 4, 1, 2, 0, 0, 3, 3, 2, 3, 0, 0, 0, 0, 1, 2, 3, 0, 4, 3, 2, 4, 1, 1, 3, 4, 4, 4, 1, 3, 1, 3, 0, 0, 2, 2, 4, 2, 1, 2, 1, 2, 3, 1, 2, 2, 3, 4, 0] pubkeycol377 = [0, 2, 3, 0, 1, 4, 2, 3, 3, 0, 3, 1, 1, 4, 2, 1, 4, 3, 4, 1, 0, 4, 1, 3, 0, 0, 2, 2, 0, 0, 2, 1, 4, 2, 1, 0, 3, 2, 2, 0, 2, 3, 2, 0, 4, 4, 0, 4, 2, 2, 0, 4, 4, 2, 2, 4, 4, 0, 3, 1, 0, 1, 4, 4, 4, 0, 4, 0, 1, 2, 2, 2, 4, 4, 0, 0, 4, 4, 1, 4, 1, 3, 3, 4, 1, 4, 1, 1, 0, 2, 4, 0, 4, 0, 4, 4, 4, 3, 1, 4, 4, 2, 4, 4, 3, 0, 0, 2, 3, 3, 2, 3, 3, 4, 2, 2, 3, 2, 3, 2, 1, 1, 0, 0, 0, 4, 1, 3, 2, 4, 4, 3, 3, 2, 2, 0, 1, 2, 4, 3, 1, 2, 1, 4, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 3, 2, 1, 4, 1, 0, 3, 3, 2, 0, 1, 0, 1, 1, 4, 3, 1, 1, 1, 4, 3, 3, 0, 3, 1, 0, 0, 2, 2, 4, 1, 4, 0, 3, 2, 2, 3, 1, 2, 1, 3, 1, 4, 2, 3, 3, 2, 2, 3, 2, 2, 0, 0, 1, 2, 3, 4, 3, 0, 1, 0, 1, 3, 2, 4, 0, 4, 4, 0, 1, 4, 0, 0, 0, 2, 2, 0, 1, 0, 4, 1, 0, 3, 1, 4, 0, 0, 0, 1, 0, 4, 3, 3, 3, 3, 0, 3, 3, 2, 2, 1, 3, 1, 4, 3, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 3, 0, 0, 0, 2, 1, 3, 0, 4, 2, 1, 1, 0, 0, 0, 3, 0, 4, 2, 0, 1, 2, 0, 1, 3, 4, 0, 0, 3, 1, 0, 3, 2, 2, 4, 3, 2, 2, 2, 1, 0, 1, 2, 0, 3, 1, 3, 0] pubkeycol378 = [4, 1, 1, 0, 3, 2, 4, 2, 1, 4, 3, 0, 1, 2, 1, 4, 1, 1, 2, 2, 4, 2, 4, 1, 4, 3, 4, 1, 2, 1, 0, 3, 2, 2, 2, 2, 1, 0, 3, 1, 3, 1, 0, 2, 2, 2, 1, 0, 0, 3, 2, 4, 2, 3, 2, 1, 4, 2, 3, 4, 3, 1, 1, 2, 2, 4, 1, 0, 4, 4, 3, 1, 1, 3, 2, 4, 1, 1, 4, 2, 2, 3, 3, 2, 0, 4, 2, 4, 0, 4, 0, 1, 3, 3, 4, 2, 3, 3, 1, 2, 0, 3, 3, 0, 3, 4, 3, 4, 4, 3, 2, 2, 3, 0, 1, 1, 4, 2, 4, 2, 0, 4, 2, 2, 1, 1, 2, 1, 4, 3, 1, 0, 2, 1, 1, 0, 0, 2, 1, 4, 0, 4, 2, 3, 4, 4, 3, 4, 2, 0, 2, 3, 2, 0, 0, 4, 4, 3, 1, 1, 4, 0, 0, 4, 0, 2, 4, 2, 2, 4, 2, 1, 0, 3, 3, 3, 1, 2, 0, 3, 1, 0, 0, 3, 1, 3, 3, 2, 4, 3, 3, 2, 4, 2, 3, 2, 1, 4, 0, 4, 2, 2, 2, 4, 4, 1, 3, 3, 0, 4, 3, 1, 2, 4, 3, 0, 1, 0, 1, 0, 3, 1, 2, 1, 3, 2, 0, 1, 2, 2, 4, 0, 2, 3, 1, 0, 3, 3, 3, 3, 4, 2, 2, 2, 1, 3, 3, 2, 4, 3, 1, 3, 4, 1, 4, 3, 1, 0, 2, 3, 2, 4, 3, 3, 0, 4, 4, 4, 1, 3, 1, 2, 2, 4, 0, 1, 0, 2, 4, 0, 3, 4, 1, 2, 1, 0, 2, 0, 2, 0, 1, 3, 2, 4, 4, 0, 3, 3, 2, 1, 1, 2, 4, 3, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 4, 0] pubkeycol379 = [1, 1, 3, 0, 4, 4, 0, 3, 3, 4, 4, 4, 1, 2, 2, 4, 4, 1, 2, 4, 1, 4, 0, 1, 3, 0, 3, 3, 0, 2, 0, 0, 3, 0, 1, 3, 0, 4, 4, 3, 4, 3, 3, 1, 3, 2, 3, 4, 3, 3, 4, 4, 2, 3, 1, 4, 2, 0, 3, 1, 1, 2, 0, 4, 1, 1, 3, 0, 4, 4, 3, 4, 1, 2, 4, 4, 4, 4, 2, 1, 0, 1, 2, 4, 2, 0, 2, 2, 3, 0, 4, 4, 4, 3, 2, 2, 4, 0, 1, 4, 3, 1, 3, 0, 3, 2, 4, 4, 4, 2, 0, 2, 0, 3, 4, 1, 0, 2, 0, 2, 0, 4, 0, 2, 3, 2, 3, 3, 4, 0, 1, 1, 0, 0, 3, 4, 0, 4, 1, 4, 2, 2, 2, 2, 1, 3, 2, 3, 4, 0, 1, 3, 4, 4, 4, 3, 1, 4, 2, 4, 4, 3, 0, 2, 3, 3, 0, 3, 0, 0, 4, 1, 2, 0, 2, 1, 2, 3, 4, 4, 3, 1, 4, 3, 0, 3, 2, 3, 4, 2, 4, 4, 4, 0, 2, 4, 2, 4, 2, 2, 2, 3, 3, 0, 3, 1, 3, 1, 4, 1, 2, 4, 0, 2, 3, 3, 3, 2, 4, 1, 0, 2, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 4, 3, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 3, 4, 4, 2, 1, 3, 4, 3, 3, 0, 1, 4, 2, 3, 2, 0, 0, 0, 4, 3, 2, 4, 0, 1, 0, 1, 4, 3, 0, 2, 4, 3, 1, 0, 3, 3, 2, 4, 1, 1, 3, 0, 2, 2, 1, 2, 1, 1, 3, 3, 1, 3, 3, 0, 3, 2, 0, 3, 0, 2, 4, 2, 3, 1, 0, 2, 4, 4, 2, 4, 3, 4] pubkeycol380 = [0, 1, 0, 2, 0, 0, 2, 3, 2, 1, 2, 1, 1, 3, 3, 1, 0, 4, 1, 0, 2, 1, 0, 1, 0, 2, 3, 1, 1, 1, 0, 0, 1, 0, 4, 1, 2, 1, 0, 0, 4, 1, 2, 2, 3, 4, 1, 2, 4, 0, 4, 3, 2, 4, 2, 2, 2, 4, 4, 0, 1, 3, 0, 1, 3, 4, 1, 2, 2, 2, 3, 3, 0, 4, 1, 3, 2, 4, 3, 0, 0, 4, 0, 1, 2, 2, 4, 2, 4, 4, 3, 3, 1, 2, 4, 4, 4, 4, 2, 0, 0, 4, 3, 4, 4, 4, 0, 2, 2, 3, 2, 2, 0, 4, 4, 3, 1, 0, 0, 4, 0, 4, 4, 4, 2, 1, 3, 1, 2, 4, 3, 0, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 4, 2, 3, 4, 2, 1, 3, 1, 4, 3, 4, 4, 1, 4, 1, 4, 3, 2, 1, 4, 1, 2, 2, 3, 0, 4, 2, 3, 3, 3, 4, 2, 2, 4, 3, 2, 2, 4, 4, 2, 4, 1, 2, 3, 2, 1, 4, 3, 0, 0, 1, 4, 4, 4, 3, 0, 3, 3, 2, 4, 2, 2, 0, 2, 3, 3, 1, 4, 2, 1, 2, 3, 0, 1, 4, 0, 4, 4, 2, 2, 2, 1, 0, 2, 2, 3, 0, 3, 0, 4, 4, 0, 2, 0, 0, 0, 4, 3, 1, 0, 3, 4, 2, 2, 0, 3, 1, 3, 0, 0, 4, 3, 0, 0, 4, 2, 4, 4, 3, 0, 3, 1, 3, 4, 4, 3, 2, 4, 4, 4, 2, 3, 0, 2, 0, 4, 4, 3, 1, 3, 3, 1, 3, 1, 0, 1, 2, 1, 2, 2, 0, 3, 0, 1, 4, 2, 4, 4, 2, 3, 0, 1, 4, 3, 4, 4, 2, 4, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2] pubkeycol381 = [4, 4, 0, 1, 3, 1, 1, 1, 4, 4, 4, 0, 4, 2, 1, 2, 1, 3, 0, 1, 1, 3, 3, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 3, 4, 4, 2, 4, 4, 0, 1, 2, 0, 2, 3, 0, 2, 0, 3, 3, 0, 3, 1, 0, 4, 0, 3, 3, 1, 3, 2, 4, 3, 0, 1, 4, 0, 0, 2, 3, 2, 4, 4, 3, 4, 0, 2, 4, 2, 0, 0, 0, 4, 0, 2, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 3, 3, 2, 0, 2, 4, 4, 4, 4, 1, 3, 3, 2, 3, 4, 1, 3, 1, 2, 0, 4, 4, 0, 3, 4, 4, 2, 3, 4, 4, 1, 3, 3, 1, 2, 4, 1, 2, 0, 2, 0, 1, 0, 4, 1, 2, 0, 3, 2, 2, 0, 3, 1, 3, 1, 1, 4, 4, 1, 1, 2, 0, 2, 0, 4, 2, 2, 3, 2, 3, 1, 1, 0, 2, 3, 4, 4, 1, 3, 0, 0, 3, 1, 1, 4, 3, 1, 2, 0, 4, 0, 1, 3, 3, 1, 2, 2, 1, 0, 3, 3, 2, 4, 3, 2, 0, 1, 0, 4, 0, 1, 4, 3, 2, 1, 2, 3, 2, 0, 1, 2, 3, 0, 1, 4, 2, 3, 0, 4, 4, 3, 2, 2, 4, 1, 0, 1, 0, 3, 4, 1, 3, 0, 4, 0, 1, 2, 3, 3, 1, 4, 2, 4, 1, 1, 1, 2, 1, 2, 1, 0, 4, 0, 3, 1, 2, 2, 1, 1, 3, 2, 2, 2, 0, 2, 1, 1, 1, 4, 3, 1, 0, 4, 2, 0, 1, 3, 3, 0, 0, 1, 1, 0, 2, 1, 4, 0, 2, 3, 4, 1, 2, 3, 3, 2, 1, 0, 3, 4, 1, 4, 3, 0, 4, 2, 0, 3, 3] pubkeycol382 = [3, 3, 2, 2, 4, 3, 3, 2, 4, 4, 0, 1, 3, 0, 2, 2, 4, 3, 0, 3, 4, 4, 1, 4, 3, 0, 4, 3, 4, 2, 4, 2, 3, 3, 1, 4, 3, 3, 0, 1, 0, 2, 3, 0, 0, 4, 1, 1, 4, 1, 1, 3, 2, 0, 3, 4, 4, 0, 2, 0, 4, 2, 1, 4, 0, 1, 3, 2, 4, 0, 2, 2, 2, 1, 4, 4, 2, 4, 4, 0, 4, 3, 0, 4, 4, 3, 2, 3, 1, 1, 3, 4, 2, 4, 1, 3, 4, 1, 2, 1, 4, 3, 0, 3, 3, 2, 4, 2, 4, 3, 0, 2, 4, 0, 1, 2, 1, 0, 4, 1, 4, 2, 2, 4, 0, 0, 3, 4, 2, 0, 4, 1, 1, 0, 1, 4, 3, 4, 0, 1, 1, 4, 0, 0, 1, 4, 0, 3, 0, 4, 1, 3, 0, 0, 3, 4, 2, 4, 0, 1, 4, 1, 2, 2, 3, 1, 0, 4, 3, 0, 3, 2, 4, 0, 4, 2, 4, 0, 2, 4, 0, 0, 3, 4, 4, 1, 2, 2, 0, 0, 2, 4, 2, 0, 1, 3, 0, 2, 4, 1, 2, 3, 0, 3, 1, 3, 0, 4, 2, 3, 0, 2, 1, 0, 0, 1, 0, 4, 1, 4, 0, 0, 3, 0, 3, 2, 2, 1, 3, 0, 1, 3, 1, 1, 0, 4, 2, 2, 1, 1, 0, 2, 2, 2, 0, 4, 4, 4, 3, 3, 4, 1, 3, 4, 1, 4, 1, 4, 0, 2, 4, 3, 1, 3, 0, 4, 3, 2, 2, 4, 4, 1, 2, 2, 4, 3, 3, 0, 4, 1, 4, 1, 3, 0, 1, 0, 4, 2, 1, 4, 2, 0, 0, 3, 0, 0, 3, 1, 2, 0, 4, 2, 3, 0, 1, 1, 3, 4, 4, 3, 0, 0, 3, 1, 2, 0, 4, 1, 4, 1] pubkeycol383 = [4, 3, 3, 0, 0, 0, 4, 1, 4, 3, 3, 3, 2, 1, 3, 4, 1, 4, 4, 1, 0, 4, 4, 3, 0, 4, 0, 0, 4, 2, 0, 1, 4, 2, 3, 3, 3, 2, 2, 4, 0, 0, 3, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 2, 4, 3, 3, 2, 4, 1, 1, 4, 4, 3, 3, 4, 0, 3, 3, 4, 4, 0, 2, 0, 0, 0, 2, 3, 4, 4, 0, 3, 1, 0, 4, 2, 2, 2, 4, 1, 2, 4, 1, 4, 2, 3, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 4, 3, 4, 2, 1, 0, 3, 2, 4, 4, 0, 4, 0, 0, 3, 4, 1, 0, 0, 3, 3, 1, 0, 2, 4, 4, 2, 1, 0, 0, 0, 2, 4, 0, 3, 1, 1, 4, 1, 3, 2, 2, 3, 3, 2, 4, 2, 1, 0, 4, 0, 0, 2, 2, 2, 1, 0, 1, 2, 3, 0, 1, 4, 1, 2, 3, 4, 4, 3, 2, 4, 1, 1, 0, 3, 4, 3, 4, 2, 4, 1, 3, 4, 4, 0, 0, 1, 4, 4, 3, 2, 4, 0, 2, 0, 1, 3, 0, 3, 4, 3, 0, 0, 2, 0, 3, 1, 2, 3, 0, 2, 1, 1, 3, 4, 0, 2, 0, 3, 2, 0, 3, 1, 0, 3, 4, 0, 2, 0, 0, 2, 0, 0, 3, 4, 1, 0, 3, 2, 0, 4, 4, 2, 4, 1, 3, 0, 0, 3, 4, 4, 2, 2, 4, 0, 4, 3, 2, 0, 2, 1, 2, 3, 0, 0, 1, 2, 4, 3, 3, 4, 3, 1, 3, 0, 3, 0, 3, 2, 1, 1, 0, 1, 2, 4, 0, 2, 0, 2, 1, 3, 4, 1, 1, 4, 0, 1, 2, 3, 3, 1, 0, 4, 0, 3, 2, 4, 1, 0, 3, 1, 4, 2, 1] pubkeycol384 = [4, 4, 4, 1, 3, 4, 4, 4, 0, 2, 1, 0, 3, 4, 2, 1, 1, 0, 2, 2, 2, 3, 4, 0, 1, 3, 3, 4, 0, 2, 3, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 3, 1, 3, 4, 0, 3, 4, 1, 0, 4, 1, 0, 1, 1, 0, 4, 0, 0, 1, 4, 4, 4, 0, 4, 3, 0, 4, 2, 4, 2, 1, 2, 4, 1, 0, 3, 4, 2, 3, 1, 3, 1, 0, 2, 2, 4, 4, 4, 1, 0, 4, 0, 3, 0, 1, 3, 1, 2, 3, 1, 1, 4, 2, 4, 1, 0, 0, 3, 1, 1, 2, 4, 2, 2, 3, 0, 4, 0, 0, 3, 4, 3, 0, 4, 3, 1, 4, 0, 0, 2, 0, 2, 2, 1, 2, 4, 0, 3, 4, 3, 3, 3, 3, 0, 2, 4, 3, 4, 2, 4, 0, 4, 3, 2, 4, 3, 1, 2, 0, 2, 2, 4, 1, 4, 1, 1, 2, 4, 4, 1, 1, 3, 1, 4, 1, 2, 3, 2, 2, 1, 0, 2, 4, 0, 3, 3, 3, 4, 2, 1, 2, 1, 2, 3, 0, 4, 0, 3, 2, 3, 4, 1, 0, 0, 1, 0, 0, 0, 4, 2, 3, 2, 4, 3, 0, 4, 4, 3, 1, 3, 3, 0, 0, 1, 4, 2, 4, 2, 1, 0, 0, 0, 1, 1, 2, 3, 1, 0, 4, 1, 0, 3, 1, 4, 0, 1, 2, 2, 1, 0, 4, 4, 0, 0, 3, 3, 2, 1, 1, 2, 0, 2, 2, 1, 3, 3, 1, 2, 4, 0, 3, 0, 3, 4, 2, 4, 1, 1, 3, 1, 3, 0, 4, 2, 0, 2, 1, 2, 4, 1, 2, 3, 0, 1, 4, 2, 4, 1, 2, 1, 1, 4, 3, 4, 0, 0, 3, 4, 2, 2, 2] pubkeycol385 = [0, 4, 1, 3, 1, 2, 4, 3, 3, 2, 0, 2, 3, 0, 1, 2, 2, 4, 2, 1, 4, 2, 4, 3, 2, 3, 0, 4, 0, 2, 2, 4, 0, 2, 0, 0, 3, 0, 3, 1, 4, 0, 2, 4, 2, 2, 2, 4, 1, 3, 1, 0, 4, 0, 0, 4, 2, 2, 0, 0, 3, 1, 0, 1, 1, 0, 2, 1, 4, 4, 0, 3, 0, 1, 0, 3, 0, 2, 1, 4, 1, 1, 3, 3, 2, 2, 4, 3, 0, 3, 1, 0, 4, 4, 4, 1, 3, 4, 0, 2, 1, 0, 1, 3, 3, 4, 2, 1, 0, 2, 2, 2, 1, 2, 4, 0, 4, 2, 0, 4, 1, 0, 4, 1, 1, 4, 1, 0, 0, 4, 0, 0, 0, 1, 0, 4, 3, 1, 1, 3, 3, 1, 0, 2, 2, 1, 2, 0, 3, 0, 3, 0, 1, 2, 2, 2, 4, 2, 4, 4, 2, 2, 1, 2, 0, 0, 4, 0, 3, 1, 1, 1, 1, 0, 0, 2, 3, 0, 4, 4, 2, 3, 2, 4, 2, 2, 0, 4, 0, 4, 2, 1, 3, 2, 3, 0, 3, 3, 3, 0, 1, 2, 4, 1, 4, 0, 0, 2, 4, 1, 0, 4, 4, 4, 2, 4, 2, 1, 4, 4, 2, 3, 1, 2, 4, 4, 4, 3, 3, 0, 0, 3, 0, 4, 4, 2, 1, 3, 4, 4, 2, 0, 2, 4, 0, 1, 3, 2, 1, 3, 3, 2, 1, 2, 3, 2, 4, 3, 3, 0, 1, 0, 1, 3, 4, 1, 0, 4, 4, 3, 1, 0, 1, 4, 4, 1, 3, 3, 3, 4, 1, 0, 1, 2, 1, 1, 1, 3, 1, 3, 4, 3, 3, 2, 4, 2, 3, 4, 3, 4, 0, 4, 4, 0, 3, 4, 0, 3, 2, 4, 4, 3, 0, 1, 4, 0, 0, 3, 2, 0] pubkeycol386 = [1, 4, 1, 2, 4, 1, 0, 4, 1, 4, 0, 2, 4, 1, 1, 4, 4, 3, 0, 0, 4, 3, 0, 3, 0, 0, 3, 3, 3, 3, 0, 4, 3, 1, 1, 2, 1, 4, 4, 2, 1, 0, 3, 4, 3, 0, 2, 3, 0, 2, 2, 2, 3, 1, 1, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 1, 3, 4, 2, 1, 0, 1, 4, 3, 4, 3, 1, 2, 3, 1, 4, 4, 0, 4, 0, 1, 4, 0, 3, 2, 1, 2, 1, 1, 3, 1, 0, 3, 1, 2, 4, 2, 2, 0, 2, 0, 4, 1, 0, 3, 0, 0, 0, 2, 4, 2, 3, 3, 0, 1, 3, 1, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 4, 2, 0, 2, 2, 3, 2, 0, 1, 3, 2, 1, 1, 4, 1, 0, 4, 1, 0, 2, 4, 4, 4, 2, 1, 1, 4, 0, 1, 1, 0, 1, 4, 1, 3, 0, 3, 2, 0, 4, 1, 2, 1, 3, 1, 4, 0, 1, 4, 3, 0, 3, 1, 1, 2, 2, 1, 0, 0, 3, 2, 0, 1, 1, 4, 4, 0, 1, 1, 3, 2, 3, 3, 3, 3, 4, 4, 0, 2, 3, 0, 1, 1, 4, 1, 3, 4, 0, 3, 1, 1, 4, 0, 0, 4, 2, 1, 0, 4, 2, 1, 3, 2, 3, 3, 1, 0, 4, 4, 0, 0, 2, 0, 3, 3, 3, 1, 1, 3, 1, 1, 0, 3, 0, 2, 1, 3, 0, 0, 2, 3, 4, 0, 4, 1, 2, 4, 1, 4, 2, 2, 2, 1, 2, 0, 3, 2, 0, 1, 3, 0, 1, 0, 4, 0, 0, 2, 4, 4, 0, 1, 0, 0, 3, 2, 1, 4, 0, 2, 3, 2, 1, 3, 3, 3, 2, 0, 3, 4, 1, 0, 1, 2, 1, 0, 0] pubkeycol387 = [1, 0, 3, 3, 0, 0, 4, 0, 0, 2, 2, 4, 0, 2, 3, 3, 0, 4, 0, 3, 0, 3, 1, 0, 1, 3, 0, 3, 3, 3, 3, 3, 0, 2, 0, 3, 1, 1, 1, 1, 0, 1, 3, 2, 3, 3, 4, 1, 2, 4, 1, 4, 3, 4, 0, 4, 1, 3, 4, 0, 1, 0, 4, 4, 0, 1, 2, 3, 4, 4, 1, 0, 2, 1, 4, 1, 1, 3, 3, 0, 2, 0, 4, 0, 4, 3, 1, 4, 3, 4, 2, 1, 1, 0, 0, 0, 2, 4, 1, 3, 0, 0, 3, 4, 3, 2, 2, 2, 0, 0, 0, 4, 1, 3, 2, 3, 3, 1, 1, 4, 0, 3, 2, 4, 3, 1, 3, 4, 4, 0, 2, 2, 3, 1, 1, 0, 0, 4, 2, 1, 2, 0, 0, 3, 1, 0, 3, 1, 3, 0, 2, 4, 0, 2, 4, 0, 4, 2, 0, 4, 4, 4, 2, 0, 2, 4, 1, 3, 0, 4, 4, 3, 0, 2, 4, 1, 3, 3, 3, 0, 0, 3, 0, 2, 2, 4, 4, 2, 3, 0, 2, 0, 4, 4, 2, 3, 4, 2, 1, 1, 0, 4, 1, 4, 4, 0, 0, 4, 4, 0, 1, 3, 4, 3, 3, 1, 3, 0, 3, 0, 3, 3, 2, 4, 4, 4, 0, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3, 0, 0, 0, 0, 4, 2, 3, 0, 4, 4, 4, 0, 4, 4, 1, 4, 0, 2, 3, 0, 1, 2, 4, 3, 1, 4, 0, 2, 4, 1, 1, 0, 4, 1, 4, 3, 1, 0, 0, 3, 3, 0, 2, 2, 4, 1, 3, 3, 1, 2, 4, 1, 4, 2, 4, 1, 1, 3, 2, 4, 4, 1, 3, 2, 2, 3, 0, 0, 0, 4, 1, 2, 1, 1, 4, 4, 1, 4, 4, 3, 2, 2, 1] pubkeycol388 = [2, 0, 0, 3, 0, 3, 2, 0, 3, 1, 4, 4, 2, 2, 2, 2, 4, 2, 4, 3, 1, 0, 1, 4, 1, 3, 1, 4, 2, 4, 3, 2, 0, 3, 1, 2, 0, 0, 3, 4, 4, 2, 0, 0, 0, 3, 4, 0, 1, 1, 0, 4, 4, 1, 2, 0, 4, 2, 2, 0, 1, 4, 4, 1, 2, 4, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 0, 3, 1, 2, 2, 3, 0, 0, 4, 2, 1, 0, 0, 4, 4, 4, 0, 3, 4, 4, 1, 0, 1, 2, 1, 1, 0, 1, 0, 4, 2, 1, 4, 0, 2, 0, 2, 0, 4, 2, 4, 4, 2, 4, 1, 2, 4, 1, 3, 1, 4, 1, 3, 0, 2, 1, 0, 0, 1, 4, 0, 1, 0, 0, 3, 0, 4, 0, 2, 4, 4, 3, 3, 2, 1, 2, 1, 3, 1, 2, 0, 2, 4, 0, 1, 1, 0, 1, 3, 1, 3, 2, 1, 4, 0, 4, 1, 1, 3, 0, 1, 3, 0, 1, 1, 0, 3, 3, 2, 0, 4, 0, 1, 4, 0, 1, 1, 0, 2, 3, 4, 2, 4, 4, 2, 2, 2, 1, 3, 3, 3, 1, 4, 2, 3, 1, 3, 1, 3, 4, 1, 0, 4, 4, 2, 3, 1, 1, 4, 0, 0, 4, 2, 2, 4, 1, 1, 0, 2, 4, 4, 3, 0, 0, 4, 1, 3, 3, 0, 4, 4, 2, 1, 2, 3, 4, 3, 2, 4, 0, 0, 4, 4, 4, 4, 0, 1, 1, 2, 2, 1, 1, 3, 0, 4, 0, 4, 0, 0, 4, 2, 1, 0, 0, 2, 2, 0, 4, 1, 4, 4, 2, 2, 3, 2, 4, 0, 4, 2, 2, 2, 4, 4, 0, 2, 3, 1, 1, 1, 3, 4, 4, 1, 0, 0, 1, 2, 3, 0, 2, 3, 3, 3, 4] pubkeycol389 = [4, 3, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 3, 4, 3, 0, 1, 3, 4, 1, 3, 3, 1, 0, 3, 1, 1, 0, 1, 2, 3, 3, 3, 2, 4, 3, 4, 0, 2, 0, 2, 3, 3, 4, 2, 4, 1, 1, 0, 0, 3, 2, 3, 2, 1, 2, 4, 3, 1, 2, 3, 4, 4, 4, 0, 0, 2, 4, 1, 3, 0, 3, 0, 0, 2, 4, 0, 0, 2, 3, 4, 3, 3, 4, 0, 3, 4, 2, 3, 2, 0, 4, 0, 3, 4, 4, 0, 1, 2, 1, 3, 2, 4, 4, 2, 2, 4, 4, 1, 4, 1, 2, 0, 3, 0, 3, 3, 0, 3, 1, 3, 0, 2, 0, 2, 4, 3, 4, 2, 0, 1, 2, 4, 2, 1, 2, 4, 2, 3, 4, 2, 0, 3, 1, 1, 3, 0, 4, 0, 1, 4, 1, 0, 4, 0, 1, 3, 1, 0, 0, 0, 3, 1, 1, 2, 0, 1, 0, 1, 0, 3, 0, 0, 1, 1, 4, 2, 3, 2, 1, 0, 4, 1, 1, 2, 3, 4, 4, 0, 3, 3, 2, 3, 0, 0, 3, 2, 1, 3, 1, 3, 1, 4, 0, 4, 4, 4, 4, 4, 3, 4, 0, 2, 3, 0, 4, 2, 2, 4, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 0, 2, 4, 2, 0, 2, 4, 2, 4, 0, 4, 3, 2, 3, 2, 4, 2, 1, 0, 3, 1, 1, 0, 4, 0, 4, 0, 4, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 3, 0, 2, 1, 1, 2, 2, 4, 1, 1, 1, 2, 4, 3, 1, 2, 2, 0, 0, 1, 2, 4, 3, 4, 4, 4, 2, 0, 1, 3, 1, 4, 2, 1, 2, 1, 4, 0, 4, 4, 4, 2, 0, 0, 3, 1, 1, 2, 3] pubkeycol390 = [2, 2, 3, 4, 4, 4, 0, 4, 4, 1, 0, 1, 3, 1, 0, 3, 1, 0, 2, 4, 2, 0, 0, 0, 2, 4, 0, 4, 4, 4, 1, 3, 3, 0, 0, 2, 0, 3, 3, 2, 3, 1, 1, 4, 1, 3, 1, 3, 0, 4, 3, 3, 1, 4, 0, 2, 1, 2, 2, 4, 4, 4, 1, 4, 3, 3, 4, 0, 3, 2, 1, 1, 1, 4, 1, 1, 0, 3, 4, 0, 1, 1, 3, 4, 2, 4, 2, 2, 2, 0, 0, 1, 2, 4, 1, 0, 3, 1, 3, 1, 2, 4, 3, 3, 2, 2, 4, 1, 3, 4, 4, 0, 0, 2, 3, 3, 4, 0, 1, 3, 3, 3, 1, 3, 2, 0, 4, 4, 2, 2, 4, 0, 0, 0, 4, 2, 4, 3, 2, 2, 1, 0, 4, 4, 1, 4, 3, 2, 4, 0, 4, 0, 1, 4, 2, 3, 2, 1, 4, 1, 0, 3, 1, 2, 0, 0, 0, 2, 0, 2, 3, 0, 4, 4, 1, 0, 2, 0, 0, 0, 3, 2, 1, 2, 4, 2, 0, 4, 3, 2, 1, 4, 2, 0, 4, 1, 0, 2, 2, 1, 3, 3, 4, 3, 4, 1, 2, 0, 1, 2, 4, 2, 3, 3, 2, 4, 1, 2, 4, 0, 2, 3, 2, 3, 4, 0, 0, 2, 4, 2, 2, 3, 0, 1, 3, 3, 4, 0, 2, 3, 4, 2, 3, 4, 4, 4, 0, 3, 1, 4, 0, 2, 3, 2, 2, 2, 3, 0, 2, 1, 4, 4, 3, 4, 1, 3, 3, 1, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 3, 3, 2, 4, 2, 3, 1, 4, 0, 0, 4, 3, 1, 0, 0, 3, 3, 1, 4, 1, 3, 4, 1, 0, 2, 0, 0, 3, 2, 0, 3, 4, 0, 4, 4, 3, 2, 2, 1, 2, 2, 2] pubkeycol391 = [2, 2, 2, 0, 0, 3, 0, 4, 0, 4, 3, 0, 3, 1, 1, 0, 0, 0, 1, 0, 3, 0, 1, 1, 4, 3, 0, 1, 2, 3, 4, 4, 4, 3, 4, 3, 3, 1, 4, 4, 1, 3, 4, 2, 3, 1, 0, 3, 3, 3, 2, 2, 4, 4, 2, 4, 4, 1, 1, 0, 0, 4, 1, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 2, 3, 4, 1, 3, 3, 0, 2, 1, 3, 0, 3, 2, 3, 3, 1, 4, 1, 2, 4, 2, 4, 3, 1, 1, 1, 1, 3, 2, 1, 2, 1, 1, 3, 1, 4, 2, 4, 4, 3, 0, 1, 0, 4, 1, 1, 0, 0, 0, 4, 4, 2, 3, 0, 4, 3, 2, 2, 2, 1, 4, 0, 4, 3, 3, 4, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 1, 3, 1, 0, 4, 1, 1, 2, 4, 0, 0, 4, 4, 4, 0, 4, 1, 1, 0, 3, 0, 4, 2, 2, 3, 2, 3, 2, 2, 4, 4, 2, 2, 1, 4, 3, 4, 1, 1, 3, 0, 2, 1, 3, 3, 4, 1, 0, 0, 2, 1, 0, 4, 3, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 0, 2, 0, 0, 3, 3, 2, 1, 1, 4, 3, 3, 3, 0, 0, 0, 2, 1, 4, 1, 3, 1, 3, 0, 4, 2, 0, 0, 1, 0, 1, 3, 2, 2, 3, 1, 4, 0, 3, 4, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 3, 1, 1, 3, 4, 2, 2, 0, 4, 4, 2, 0, 4, 1, 2, 1, 0, 2, 2, 4, 2, 4, 1, 3, 4, 4, 2, 2, 3, 1, 0, 3, 4, 4, 4, 3, 3, 2, 0, 1, 3, 0, 3, 3, 2, 2, 1, 3, 0, 3, 2, 4, 3, 4, 2] pubkeycol392 = [2, 2, 1, 3, 3, 0, 1, 4, 4, 2, 2, 3, 2, 4, 1, 3, 1, 0, 1, 2, 3, 0, 0, 0, 3, 0, 2, 1, 1, 2, 2, 4, 2, 3, 4, 1, 4, 3, 4, 1, 0, 4, 2, 0, 0, 3, 0, 0, 2, 4, 4, 3, 1, 2, 2, 2, 1, 0, 0, 1, 4, 4, 0, 1, 4, 0, 4, 4, 2, 2, 2, 4, 4, 3, 0, 3, 1, 2, 2, 3, 4, 4, 4, 0, 4, 0, 0, 2, 4, 4, 4, 4, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 3, 4, 2, 4, 3, 3, 4, 1, 4, 1, 0, 4, 1, 1, 3, 2, 4, 2, 2, 2, 4, 4, 1, 0, 1, 0, 2, 1, 1, 0, 0, 3, 0, 3, 3, 2, 4, 0, 2, 1, 2, 4, 1, 4, 1, 3, 4, 3, 2, 0, 4, 4, 0, 3, 2, 3, 0, 3, 2, 4, 1, 0, 4, 0, 4, 3, 1, 0, 4, 1, 3, 0, 3, 1, 3, 4, 1, 4, 2, 2, 0, 2, 0, 0, 0, 3, 3, 3, 3, 0, 3, 1, 3, 3, 0, 4, 2, 4, 3, 2, 1, 3, 3, 2, 1, 0, 4, 2, 3, 2, 0, 0, 1, 1, 4, 0, 0, 0, 3, 2, 0, 1, 4, 4, 3, 4, 3, 4, 4, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 0, 0, 1, 1, 0, 2, 1, 2, 4, 4, 4, 1, 3, 2, 3, 0, 0, 1, 3, 4, 2, 4, 2, 4, 1, 1, 4, 0, 2, 2, 4, 1, 1, 1, 1, 1, 4, 3, 4, 4, 4, 4, 2, 1, 2, 3, 2, 2, 4, 1, 4, 0, 2, 1, 0, 0, 4, 1, 1, 1, 0, 3, 3, 1, 0, 0, 0, 2, 4, 2, 3, 4, 0, 3, 2, 2, 2] pubkeycol393 = [1, 3, 3, 1, 4, 2, 2, 1, 3, 3, 3, 1, 1, 1, 0, 3, 2, 1, 4, 0, 3, 4, 0, 4, 2, 4, 0, 4, 3, 0, 2, 0, 0, 0, 4, 3, 0, 3, 3, 3, 1, 2, 2, 4, 0, 3, 2, 1, 2, 0, 2, 2, 3, 0, 4, 2, 3, 2, 0, 1, 4, 4, 3, 1, 4, 3, 0, 2, 4, 2, 0, 4, 2, 2, 0, 0, 4, 1, 1, 0, 0, 3, 3, 0, 3, 3, 0, 2, 3, 3, 0, 0, 2, 3, 3, 2, 0, 3, 2, 0, 1, 3, 4, 0, 0, 0, 1, 2, 1, 4, 2, 0, 4, 2, 2, 2, 0, 0, 2, 0, 4, 1, 3, 2, 3, 4, 0, 4, 4, 4, 3, 2, 4, 0, 0, 1, 4, 1, 4, 2, 3, 1, 4, 1, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 2, 2, 0, 3, 4, 0, 1, 4, 2, 0, 4, 4, 2, 4, 2, 0, 0, 1, 0, 2, 1, 4, 2, 3, 0, 3, 3, 2, 1, 4, 1, 2, 2, 4, 1, 3, 3, 1, 3, 2, 4, 0, 1, 3, 2, 1, 2, 4, 2, 3, 2, 0, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 2, 0, 3, 3, 0, 2, 3, 0, 1, 3, 3, 4, 4, 2, 2, 1, 0, 1, 3, 3, 3, 2, 0, 3, 4, 1, 3, 3, 3, 4, 0, 2, 4, 1, 2, 4, 2, 2, 0, 1, 0, 4, 4, 0, 3, 3, 0, 0, 2, 0, 2, 2, 2, 0, 4, 2, 4, 0, 4, 1, 2, 3, 0, 0, 3, 2, 0, 2, 4, 1, 1, 1, 3, 0, 4, 0, 1, 3, 1, 3, 0, 4, 4, 3, 2, 4, 3, 3, 3, 4, 4, 0, 4, 2, 0, 0, 4, 0, 0, 4, 1, 2, 2] pubkeycol394 = [1, 4, 3, 4, 2, 2, 2, 0, 4, 4, 4, 4, 1, 0, 2, 2, 4, 4, 1, 2, 0, 3, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 3, 2, 3, 0, 4, 0, 3, 1, 3, 3, 0, 3, 2, 4, 3, 3, 4, 0, 4, 4, 3, 1, 4, 2, 4, 0, 0, 4, 0, 1, 4, 4, 4, 0, 4, 1, 3, 3, 2, 1, 3, 4, 0, 3, 0, 4, 1, 3, 4, 4, 2, 4, 4, 2, 3, 2, 0, 2, 3, 3, 2, 3, 0, 1, 4, 3, 2, 2, 4, 0, 1, 3, 2, 2, 0, 3, 3, 0, 4, 2, 3, 0, 4, 4, 0, 2, 3, 0, 1, 0, 1, 1, 0, 2, 2, 4, 4, 1, 2, 2, 3, 1, 2, 3, 0, 4, 1, 3, 4, 0, 3, 4, 1, 3, 4, 3, 1, 2, 2, 1, 4, 0, 3, 0, 1, 1, 0, 0, 0, 0, 2, 4, 3, 3, 3, 4, 0, 4, 3, 4, 0, 2, 3, 4, 3, 1, 1, 3, 3, 0, 2, 1, 0, 2, 0, 3, 3, 4, 2, 2, 2, 1, 0, 2, 4, 0, 4, 3, 1, 3, 1, 4, 1, 1, 2, 1, 0, 0, 4, 4, 1, 2, 0, 4, 3, 3, 3, 2, 0, 4, 1, 0, 2, 1, 1, 1, 4, 1, 0, 1, 2, 3, 3, 3, 3, 1, 2, 3, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 3, 0, 1, 0, 1, 2, 1, 2, 3, 4, 0, 2, 4, 1, 1, 1, 2, 2, 0, 4, 0, 3, 4, 4, 4, 0, 1, 3, 3, 3, 4, 0, 0, 0, 3, 1, 4, 3, 1, 0, 1, 2, 2, 2, 3, 4, 2, 4, 4, 4, 4, 0, 1, 4, 0, 3, 2, 1, 1, 2, 3, 0, 4, 2, 1, 2] pubkeycol395 = [3, 1, 2, 2, 2, 4, 0, 0, 1, 3, 1, 0, 2, 1, 3, 3, 2, 4, 4, 1, 0, 3, 0, 0, 0, 0, 0, 1, 2, 4, 1, 0, 4, 1, 1, 2, 2, 3, 2, 1, 3, 0, 2, 1, 3, 3, 1, 2, 0, 0, 2, 0, 1, 3, 4, 2, 0, 0, 4, 3, 1, 2, 0, 0, 2, 0, 1, 2, 3, 4, 4, 2, 3, 2, 1, 3, 4, 2, 4, 4, 0, 0, 3, 3, 3, 0, 1, 1, 3, 2, 0, 1, 4, 2, 4, 3, 0, 3, 2, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 1, 4, 0, 3, 2, 0, 0, 3, 4, 2, 3, 0, 1, 2, 0, 1, 0, 0, 2, 0, 3, 0, 0, 2, 1, 4, 0, 3, 3, 2, 4, 3, 0, 1, 0, 4, 0, 1, 2, 0, 2, 0, 1, 1, 4, 0, 1, 3, 3, 4, 4, 1, 2, 0, 1, 0, 3, 0, 0, 2, 1, 4, 3, 4, 0, 3, 2, 3, 2, 4, 4, 2, 1, 0, 1, 0, 0, 1, 0, 4, 1, 2, 4, 3, 2, 1, 4, 0, 1, 1, 0, 4, 1, 2, 1, 3, 1, 0, 2, 2, 2, 0, 1, 4, 1, 3, 3, 3, 2, 1, 3, 1, 2, 3, 4, 0, 4, 0, 4, 0, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 4, 2, 2, 1, 4, 3, 4, 4, 3, 1, 2, 2, 3, 1, 0, 4, 1, 1, 0, 1, 3, 3, 0, 3, 1, 2, 4, 1, 2, 3, 4, 0, 1, 3, 4, 2, 3, 0, 4, 4, 3, 2, 4, 2, 0, 1, 4, 1, 4, 1, 1, 4, 2, 0, 2, 4, 0, 2, 3, 0, 1, 2, 3, 4, 4, 1, 2, 3, 3, 4] pubkeycol396 = [0, 2, 1, 4, 4, 1, 2, 0, 2, 2, 1, 1, 2, 4, 1, 0, 3, 4, 2, 0, 1, 1, 2, 1, 4, 1, 0, 1, 0, 1, 2, 0, 2, 4, 1, 3, 2, 1, 4, 4, 4, 3, 2, 2, 4, 0, 4, 3, 4, 1, 0, 2, 3, 0, 3, 4, 1, 3, 1, 4, 4, 0, 0, 3, 3, 3, 1, 2, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 0, 4, 4, 1, 2, 0, 0, 2, 4, 1, 4, 1, 2, 0, 2, 1, 1, 4, 2, 3, 0, 2, 1, 1, 1, 3, 0, 3, 4, 3, 3, 3, 1, 2, 4, 0, 1, 4, 2, 2, 3, 4, 0, 2, 4, 4, 2, 2, 0, 1, 1, 4, 4, 1, 2, 4, 0, 2, 3, 3, 3, 1, 1, 3, 3, 3, 2, 3, 4, 0, 3, 4, 1, 0, 3, 2, 1, 4, 3, 0, 3, 3, 1, 0, 3, 1, 3, 2, 3, 1, 2, 2, 0, 1, 1, 2, 4, 0, 0, 3, 2, 0, 4, 2, 0, 3, 3, 1, 0, 0, 1, 2, 1, 4, 0, 4, 1, 1, 4, 3, 0, 3, 2, 0, 2, 1, 3, 1, 2, 3, 4, 2, 0, 1, 0, 2, 2, 1, 4, 0, 1, 2, 3, 4, 4, 1, 3, 3, 0, 2, 1, 3, 4, 3, 4, 1, 2, 1, 3, 3, 3, 4, 0, 3, 4, 4, 4, 2, 3, 1, 4, 2, 1, 3, 1, 0, 3, 0, 4, 1, 2, 2, 2, 3, 0, 2, 0, 3, 0, 1, 0, 2, 1, 4, 0, 3, 4, 4, 0, 4, 1, 3, 2, 4, 2, 4, 3, 0, 1, 2, 3, 0, 2, 2, 0, 3, 2, 3, 0, 1, 3, 1, 0, 1, 4, 1, 4, 2, 0, 3, 0, 2, 0, 0, 3, 0, 3, 2, 4, 2, 4, 2] pubkeycol397 = [0, 3, 1, 1, 0, 2, 3, 0, 3, 2, 3, 3, 2, 2, 3, 0, 3, 0, 2, 3, 1, 1, 0, 4, 1, 3, 3, 1, 4, 4, 3, 3, 2, 4, 1, 1, 4, 2, 3, 1, 0, 2, 4, 4, 4, 1, 1, 0, 4, 4, 2, 3, 2, 2, 2, 0, 3, 2, 1, 1, 1, 4, 1, 2, 1, 1, 1, 0, 3, 2, 0, 3, 1, 3, 4, 3, 4, 2, 3, 0, 4, 4, 3, 2, 4, 1, 4, 4, 3, 0, 3, 3, 3, 4, 1, 0, 1, 1, 1, 4, 3, 1, 0, 3, 0, 1, 4, 1, 0, 3, 2, 1, 2, 0, 0, 0, 1, 0, 4, 4, 2, 1, 4, 1, 0, 2, 1, 2, 3, 1, 3, 2, 0, 4, 1, 1, 4, 1, 3, 1, 4, 3, 1, 0, 3, 3, 2, 1, 0, 0, 4, 4, 0, 4, 2, 0, 3, 3, 3, 3, 1, 2, 4, 3, 0, 1, 2, 0, 0, 2, 4, 3, 4, 3, 4, 3, 0, 3, 2, 2, 3, 4, 2, 3, 0, 2, 4, 1, 2, 4, 4, 2, 2, 4, 0, 4, 1, 2, 0, 3, 3, 1, 3, 3, 4, 4, 1, 3, 1, 1, 2, 2, 4, 1, 2, 0, 2, 4, 0, 4, 1, 4, 3, 3, 0, 0, 4, 3, 3, 2, 3, 4, 2, 0, 3, 3, 1, 4, 1, 2, 3, 0, 0, 1, 0, 3, 3, 3, 4, 0, 1, 0, 0, 4, 3, 2, 2, 2, 3, 1, 2, 3, 0, 2, 3, 4, 1, 2, 4, 1, 4, 4, 3, 1, 1, 4, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 4, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 3, 3, 2, 1, 1, 4, 2, 4, 1, 0, 3, 4, 3, 4, 2, 4, 0, 2, 2, 1, 4, 2] pubkeycol398 = [0, 0, 4, 4, 1, 1, 4, 0, 1, 4, 4, 0, 1, 4, 3, 1, 4, 3, 3, 1, 3, 2, 0, 4, 2, 2, 0, 1, 3, 4, 0, 2, 0, 4, 0, 1, 2, 0, 0, 4, 4, 1, 1, 4, 4, 1, 1, 3, 0, 0, 2, 2, 4, 0, 3, 4, 0, 2, 4, 4, 0, 4, 1, 1, 1, 1, 4, 3, 4, 3, 4, 0, 1, 1, 1, 1, 3, 3, 1, 3, 2, 1, 3, 1, 4, 0, 4, 2, 1, 0, 2, 0, 0, 0, 3, 2, 1, 2, 3, 0, 1, 1, 0, 3, 4, 0, 1, 3, 2, 4, 3, 1, 4, 3, 1, 0, 2, 1, 2, 1, 3, 3, 0, 2, 2, 1, 2, 4, 4, 1, 0, 0, 4, 0, 3, 2, 0, 4, 4, 1, 3, 2, 3, 1, 4, 4, 0, 0, 0, 4, 2, 0, 3, 2, 0, 3, 3, 2, 2, 3, 2, 1, 0, 1, 3, 3, 3, 1, 2, 2, 1, 3, 2, 3, 3, 1, 2, 4, 3, 4, 4, 3, 1, 4, 0, 0, 4, 4, 2, 2, 4, 4, 4, 2, 0, 4, 1, 2, 0, 1, 2, 4, 3, 0, 0, 3, 2, 4, 0, 0, 1, 3, 3, 3, 4, 4, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 3, 3, 2, 0, 4, 3, 0, 4, 3, 4, 3, 2, 2, 4, 2, 1, 2, 2, 0, 3, 4, 2, 1, 0, 3, 2, 4, 0, 4, 2, 4, 4, 2, 4, 2, 4, 2, 0, 4, 0, 1, 1, 1, 4, 4, 2, 2, 0, 0, 4, 2, 1, 0, 1, 1, 3, 3, 3, 0, 3, 1, 2, 0, 3, 2, 2, 2, 4, 1, 0, 3, 4, 1, 0, 3, 4, 0, 4, 0, 2, 1, 3, 0, 2, 3, 2, 3, 2, 2, 3, 4, 1, 0] pubkeycol399 = [3, 0, 3, 4, 2, 3, 0, 3, 3, 0, 4, 1, 0, 0, 0, 0, 1, 3, 4, 4, 4, 2, 2, 2, 0, 2, 3, 0, 1, 3, 1, 1, 4, 3, 4, 2, 0, 2, 2, 4, 4, 1, 3, 1, 4, 2, 1, 3, 1, 0, 1, 2, 3, 1, 4, 0, 0, 3, 2, 4, 0, 1, 2, 0, 0, 2, 4, 2, 0, 0, 0, 4, 1, 1, 2, 4, 4, 0, 0, 1, 2, 0, 3, 2, 0, 2, 3, 0, 4, 3, 4, 0, 1, 3, 0, 2, 1, 4, 0, 2, 3, 1, 3, 4, 4, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 4, 3, 1, 1, 2, 1, 1, 1, 3, 4, 2, 3, 1, 2, 1, 3, 2, 3, 4, 1, 4, 1, 3, 1, 3, 1, 1, 0, 4, 0, 2, 0, 0, 2, 3, 2, 4, 1, 4, 2, 0, 4, 1, 3, 4, 4, 4, 2, 4, 3, 0, 4, 2, 2, 1, 1, 0, 1, 4, 1, 2, 3, 4, 3, 2, 3, 1, 1, 3, 1, 2, 2, 1, 3, 2, 0, 3, 2, 1, 2, 1, 4, 3, 2, 1, 0, 1, 1, 4, 0, 3, 2, 1, 0, 3, 2, 4, 0, 2, 4, 0, 0, 4, 0, 0, 3, 2, 3, 2, 2, 2, 4, 1, 2, 4, 2, 0, 4, 0, 3, 0, 1, 2, 3, 1, 2, 1, 0, 3, 4, 4, 2, 0, 2, 4, 4, 4, 3, 1, 4, 1, 1, 0, 4, 4, 3, 1, 0, 0, 3, 0, 3, 0, 4, 2, 3, 0, 3, 2, 2, 0, 0, 0, 4, 1, 3, 1, 3, 1, 2, 0, 4, 0, 0, 3, 3, 0, 3, 3, 1, 2, 2, 1, 4, 2, 3, 1, 0, 0, 2, 3, 0, 0, 2, 2, 3, 1, 2, 4, 3, 2, 1, 3, 0] pubkeycol400 = [2, 1, 1, 3, 2, 2, 2, 2, 3, 1, 0, 4, 3, 3, 4, 1, 4, 1, 4, 1, 3, 4, 0, 4, 0, 0, 0, 2, 4, 0, 4, 2, 1, 1, 1, 4, 1, 3, 0, 0, 2, 4, 3, 4, 4, 0, 0, 3, 3, 3, 0, 1, 2, 4, 2, 0, 3, 1, 1, 0, 2, 3, 2, 1, 4, 1, 1, 4, 1, 1, 0, 0, 4, 3, 4, 2, 4, 3, 4, 2, 2, 1, 2, 1, 4, 0, 3, 3, 4, 1, 2, 3, 4, 0, 4, 3, 3, 1, 0, 3, 1, 0, 2, 0, 0, 2, 1, 3, 0, 4, 3, 0, 1, 3, 1, 0, 0, 0, 3, 1, 3, 2, 1, 0, 2, 1, 0, 1, 0, 4, 2, 2, 3, 2, 1, 3, 2, 4, 3, 1, 3, 0, 0, 2, 0, 4, 0, 1, 4, 3, 2, 1, 0, 4, 4, 2, 3, 0, 3, 3, 1, 1, 3, 1, 1, 1, 4, 1, 1, 3, 2, 0, 0, 2, 2, 2, 3, 3, 3, 3, 1, 2, 0, 4, 1, 0, 0, 3, 4, 2, 3, 4, 1, 2, 1, 0, 2, 0, 3, 0, 3, 3, 0, 1, 2, 3, 0, 3, 4, 2, 4, 2, 2, 0, 1, 4, 3, 3, 1, 0, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 0, 1, 4, 2, 4, 0, 1, 4, 2, 4, 1, 2, 3, 0, 2, 4, 0, 3, 3, 3, 3, 1, 1, 0, 1, 2, 4, 1, 3, 3, 4, 2, 2, 1, 4, 2, 4, 4, 0, 4, 0, 4, 1, 0, 3, 4, 0, 3, 1, 3, 4, 1, 3, 3, 0, 0, 3, 0, 3, 2, 0, 3, 2, 2, 4, 4, 2, 1, 0, 2, 3, 0, 3, 1, 2, 3, 4, 3, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1] pubkeycol401 = [1, 1, 4, 4, 3, 3, 3, 0, 0, 4, 3, 1, 3, 3, 4, 3, 3, 4, 3, 1, 2, 2, 4, 1, 3, 0, 0, 3, 1, 0, 3, 1, 3, 0, 3, 1, 0, 3, 3, 3, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 4, 4, 3, 0, 0, 3, 1, 1, 4, 1, 4, 4, 1, 3, 4, 4, 4, 4, 4, 3, 2, 1, 2, 3, 0, 2, 1, 3, 4, 0, 0, 4, 2, 4, 4, 0, 0, 2, 1, 0, 1, 4, 3, 0, 0, 1, 2, 3, 0, 0, 3, 2, 3, 2, 3, 0, 0, 3, 3, 2, 4, 4, 0, 4, 4, 3, 1, 2, 2, 0, 0, 3, 1, 4, 0, 3, 0, 2, 3, 0, 1, 2, 4, 4, 0, 4, 4, 1, 4, 4, 1, 1, 4, 2, 0, 3, 1, 2, 0, 2, 2, 2, 2, 1, 0, 3, 2, 4, 0, 1, 4, 0, 4, 4, 3, 0, 4, 2, 0, 4, 1, 1, 4, 4, 2, 3, 2, 1, 1, 3, 4, 2, 4, 4, 4, 0, 2, 1, 4, 3, 0, 1, 0, 1, 4, 4, 0, 4, 1, 3, 4, 3, 4, 1, 2, 2, 3, 0, 2, 0, 3, 3, 4, 3, 3, 2, 0, 3, 3, 0, 0, 0, 1, 3, 3, 2, 0, 4, 1, 4, 4, 2, 2, 1, 2, 0, 4, 1, 1, 0, 3, 4, 1, 1, 1, 2, 1, 1, 0, 4, 4, 3, 3, 3, 2, 0, 0, 1, 1, 0, 1, 2, 3, 2, 2, 2, 2, 4, 0, 3, 4, 4, 2, 3, 2, 3, 2, 3, 1, 0, 2, 1, 3, 0, 0, 4, 0, 4, 4, 1, 4, 4, 1, 3, 0, 2, 3, 3, 1, 3, 4, 0, 3, 2, 3, 4, 2, 0, 4, 0, 0, 2, 1, 1, 3, 4, 2, 4, 3, 3] pubkeycol402 = [0, 3, 1, 2, 1, 2, 3, 2, 1, 2, 2, 1, 4, 2, 4, 1, 1, 4, 1, 0, 0, 1, 3, 1, 3, 4, 3, 2, 1, 0, 0, 3, 4, 4, 4, 1, 4, 1, 2, 0, 2, 1, 4, 4, 1, 1, 0, 2, 4, 1, 1, 1, 1, 1, 4, 4, 3, 3, 4, 3, 0, 2, 3, 0, 1, 0, 3, 4, 4, 0, 2, 1, 1, 2, 2, 0, 3, 2, 3, 1, 0, 4, 3, 3, 2, 1, 1, 0, 2, 2, 2, 4, 0, 0, 3, 3, 3, 1, 2, 0, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 2, 2, 0, 3, 0, 1, 4, 3, 1, 3, 4, 0, 3, 4, 1, 4, 1, 0, 1, 1, 2, 1, 3, 1, 2, 0, 0, 4, 1, 4, 4, 2, 4, 3, 1, 0, 4, 3, 4, 3, 3, 3, 1, 4, 4, 4, 1, 3, 2, 0, 0, 0, 3, 2, 1, 2, 3, 0, 4, 0, 2, 2, 2, 2, 2, 2, 1, 0, 3, 3, 4, 3, 0, 1, 4, 3, 4, 0, 3, 3, 3, 3, 0, 4, 4, 0, 3, 4, 0, 3, 0, 2, 2, 0, 2, 3, 3, 0, 3, 4, 4, 0, 3, 4, 2, 3, 0, 4, 0, 3, 4, 4, 1, 4, 1, 2, 2, 3, 3, 3, 4, 4, 4, 2, 2, 1, 2, 4, 1, 2, 4, 0, 3, 2, 0, 4, 0, 4, 2, 4, 3, 4, 4, 3, 4, 3, 1, 0, 1, 4, 0, 3, 1, 2, 0, 1, 4, 3, 1, 2, 1, 3, 0, 4, 3, 0, 2, 0, 4, 1, 3, 3, 4, 3, 3, 0, 3, 1, 3, 4, 3, 4, 1, 3, 2, 0, 3, 0, 0, 2, 4, 4, 4, 0, 4, 4, 1, 1, 1, 0, 4, 3, 2, 2, 4, 3, 3, 3, 4] pubkeycol403 = [2, 1, 3, 1, 1, 2, 2, 2, 0, 4, 4, 0, 4, 4, 2, 2, 2, 3, 1, 1, 0, 1, 2, 4, 4, 2, 0, 0, 1, 3, 1, 2, 4, 4, 2, 1, 4, 4, 3, 1, 2, 0, 2, 0, 1, 4, 4, 1, 3, 3, 3, 2, 0, 3, 3, 1, 1, 3, 3, 2, 1, 0, 1, 1, 3, 2, 4, 0, 0, 0, 3, 0, 1, 2, 0, 3, 1, 4, 1, 2, 2, 1, 3, 3, 2, 3, 4, 1, 2, 2, 2, 0, 1, 4, 2, 1, 1, 3, 2, 1, 0, 4, 0, 4, 1, 0, 1, 3, 4, 2, 4, 3, 1, 3, 1, 4, 0, 0, 0, 0, 1, 2, 3, 4, 0, 4, 3, 2, 2, 2, 3, 4, 1, 0, 1, 0, 2, 1, 0, 1, 3, 0, 3, 2, 1, 1, 4, 3, 2, 4, 0, 4, 1, 4, 2, 1, 1, 2, 0, 1, 2, 0, 1, 3, 1, 0, 4, 2, 2, 3, 3, 3, 0, 2, 2, 2, 0, 1, 0, 3, 2, 3, 0, 4, 1, 2, 1, 3, 0, 2, 3, 0, 4, 0, 1, 4, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 4, 1, 1, 0, 1, 2, 4, 3, 2, 4, 4, 3, 0, 1, 3, 0, 2, 1, 3, 3, 0, 4, 1, 2, 1, 4, 1, 2, 2, 1, 2, 1, 4, 0, 1, 2, 4, 1, 0, 1, 2, 1, 4, 3, 3, 2, 4, 0, 0, 4, 1, 4, 1, 0, 0, 1, 3, 2, 3, 4, 0, 0, 0, 1, 0, 2, 2, 1, 3, 1, 0, 0, 0, 2, 0, 3, 4, 2, 4, 1, 2, 4, 3, 3, 1, 2, 4, 3, 1, 4, 2, 2, 3, 3, 4, 1, 4, 4, 1, 2, 0, 4, 3, 3, 3, 0, 3, 4, 2, 1] pubkeycol404 = [3, 4, 0, 2, 4, 4, 3, 4, 3, 3, 1, 4, 2, 2, 4, 3, 4, 4, 3, 1, 0, 3, 3, 0, 3, 4, 3, 4, 4, 1, 0, 1, 4, 4, 1, 4, 4, 4, 3, 2, 2, 2, 3, 1, 2, 0, 3, 1, 2, 0, 1, 0, 4, 3, 1, 2, 1, 3, 1, 3, 3, 3, 3, 4, 3, 0, 1, 2, 3, 2, 2, 1, 3, 4, 1, 0, 2, 0, 0, 3, 1, 0, 2, 3, 0, 3, 3, 3, 4, 0, 3, 4, 4, 0, 3, 2, 0, 1, 1, 1, 2, 3, 2, 1, 2, 2, 3, 0, 0, 3, 1, 1, 0, 0, 1, 0, 0, 3, 4, 3, 3, 3, 0, 4, 0, 4, 1, 0, 0, 0, 4, 1, 0, 3, 0, 4, 2, 3, 0, 1, 0, 1, 3, 2, 1, 3, 0, 4, 1, 1, 0, 3, 2, 3, 4, 0, 0, 3, 3, 2, 1, 3, 3, 3, 0, 3, 0, 4, 2, 2, 3, 1, 3, 4, 3, 2, 4, 2, 0, 4, 1, 1, 4, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 3, 4, 0, 2, 4, 3, 0, 3, 2, 1, 2, 4, 2, 0, 3, 4, 0, 1, 3, 0, 3, 3, 2, 3, 1, 3, 1, 3, 3, 0, 3, 0, 1, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 4, 2, 4, 0, 2, 0, 2, 3, 1, 0, 4, 1, 2, 3, 0, 4, 4, 0, 3, 3, 0, 0, 3, 0, 2, 1, 1, 4, 2, 2, 3, 4, 2, 2, 0, 0, 1, 2, 4, 4, 3, 2, 1, 2, 3, 2, 2, 1, 1, 0, 0, 0, 2, 3, 0, 4, 1, 4, 4, 3, 2, 4, 1, 4, 1, 0, 3, 2, 1, 4, 2, 2, 2, 4, 4, 0, 2, 0, 0] pubkeycol405 = [4, 1, 2, 1, 1, 3, 4, 2, 0, 0, 0, 2, 0, 2, 3, 4, 2, 3, 2, 2, 4, 4, 1, 0, 1, 4, 0, 1, 4, 4, 3, 4, 2, 2, 4, 0, 0, 4, 0, 3, 4, 0, 2, 1, 1, 4, 3, 0, 4, 3, 2, 2, 1, 0, 3, 4, 1, 1, 2, 1, 4, 2, 4, 2, 2, 1, 0, 0, 2, 3, 0, 2, 3, 0, 3, 4, 3, 2, 4, 1, 1, 3, 2, 1, 3, 3, 1, 4, 1, 3, 1, 4, 1, 4, 0, 2, 1, 3, 0, 3, 3, 1, 2, 3, 4, 4, 2, 0, 1, 0, 4, 1, 0, 0, 0, 4, 4, 3, 4, 0, 1, 1, 4, 2, 2, 4, 0, 1, 1, 1, 4, 1, 1, 0, 2, 2, 4, 3, 0, 2, 2, 4, 4, 0, 3, 4, 0, 4, 0, 3, 3, 3, 2, 0, 3, 4, 0, 0, 3, 4, 1, 4, 0, 4, 2, 2, 2, 3, 0, 3, 0, 3, 1, 4, 0, 2, 4, 1, 2, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 2, 0, 1, 2, 3, 1, 2, 1, 4, 1, 1, 3, 4, 2, 0, 1, 1, 0, 2, 2, 1, 1, 4, 1, 3, 1, 4, 4, 3, 3, 4, 2, 2, 4, 0, 0, 0, 4, 4, 4, 0, 1, 3, 1, 1, 3, 4, 3, 3, 0, 3, 1, 4, 3, 0, 4, 4, 0, 4, 0, 1, 0, 2, 0, 2, 1, 1, 2, 3, 1, 3, 1, 3, 0, 3, 2, 2, 4, 3, 0, 3, 4, 4, 3, 4, 2, 2, 3, 3, 0, 0, 2, 4, 3, 4, 4, 3, 3, 1, 4, 4, 2, 2, 2, 1, 2, 1, 1, 3, 3, 1, 0, 3, 4, 2, 2, 1, 2, 1, 0, 2, 0, 3, 1, 4, 0, 4, 2, 2] pubkeycol406 = [0, 3, 0, 3, 1, 2, 1, 0, 0, 1, 2, 4, 0, 2, 1, 3, 1, 4, 1, 3, 0, 1, 3, 3, 3, 1, 4, 2, 4, 3, 4, 4, 3, 0, 2, 0, 3, 3, 0, 4, 1, 1, 3, 0, 4, 3, 1, 0, 3, 4, 2, 2, 1, 4, 4, 4, 0, 1, 4, 3, 1, 1, 0, 4, 4, 0, 0, 4, 4, 1, 2, 4, 2, 0, 2, 3, 0, 2, 4, 3, 4, 0, 3, 2, 2, 3, 1, 1, 1, 3, 2, 0, 4, 0, 2, 2, 0, 0, 0, 0, 4, 2, 4, 0, 2, 1, 4, 1, 4, 0, 1, 0, 4, 1, 3, 0, 2, 4, 3, 3, 1, 3, 4, 3, 4, 4, 1, 0, 0, 0, 1, 4, 0, 0, 2, 2, 2, 1, 4, 1, 0, 3, 0, 3, 4, 2, 0, 3, 1, 3, 2, 2, 0, 1, 0, 1, 2, 3, 0, 4, 3, 3, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 0, 3, 0, 2, 4, 0, 0, 2, 4, 3, 2, 2, 0, 3, 0, 1, 1, 0, 0, 0, 0, 4, 3, 0, 4, 2, 0, 0, 4, 3, 1, 0, 2, 1, 0, 4, 0, 2, 3, 1, 3, 2, 2, 3, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 3, 1, 4, 3, 3, 1, 1, 1, 2, 4, 3, 3, 3, 1, 3, 0, 0, 0, 3, 1, 3, 3, 4, 4, 4, 1, 2, 4, 4, 4, 1, 2, 4, 3, 2, 3, 4, 2, 0, 1, 0, 0, 4, 4, 3, 3, 3, 2, 1, 1, 4, 4, 2, 1, 4, 0, 2, 2, 4, 1, 3, 2, 4, 1, 0, 1, 3, 2, 0, 2, 0, 2, 3, 0, 3, 1, 1, 4, 3, 4, 1, 2, 3, 2, 2, 3, 1, 0, 0, 2, 0, 3, 0] pubkeycol407 = [2, 4, 2, 2, 4, 3, 1, 0, 2, 3, 3, 4, 0, 3, 3, 1, 1, 2, 0, 3, 2, 3, 0, 4, 2, 3, 3, 1, 1, 0, 3, 3, 3, 4, 3, 2, 4, 3, 0, 2, 1, 3, 0, 4, 0, 0, 0, 4, 2, 4, 2, 4, 2, 3, 1, 2, 4, 4, 1, 0, 2, 0, 2, 3, 2, 4, 3, 2, 4, 0, 4, 1, 0, 0, 2, 1, 2, 4, 2, 1, 4, 2, 1, 0, 2, 3, 1, 1, 2, 0, 1, 1, 3, 2, 4, 4, 0, 3, 3, 3, 3, 4, 1, 0, 3, 2, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 1, 1, 0, 0, 2, 4, 4, 0, 4, 3, 3, 3, 1, 0, 4, 2, 4, 2, 3, 2, 1, 0, 0, 4, 1, 4, 0, 3, 0, 4, 3, 2, 1, 2, 2, 2, 3, 1, 2, 2, 3, 0, 4, 0, 2, 0, 3, 0, 3, 0, 3, 4, 2, 1, 4, 1, 1, 2, 1, 2, 0, 3, 3, 0, 0, 4, 3, 1, 4, 0, 0, 0, 3, 1, 0, 0, 0, 1, 2, 2, 4, 3, 3, 1, 0, 0, 3, 1, 2, 2, 2, 4, 1, 4, 3, 0, 3, 4, 4, 3, 0, 4, 3, 2, 4, 4, 2, 3, 3, 1, 1, 1, 4, 0, 2, 4, 0, 3, 1, 1, 3, 4, 2, 2, 1, 0, 0, 3, 4, 3, 0, 2, 3, 0, 0, 4, 3, 2, 3, 2, 1, 2, 2, 1, 3, 4, 1, 1, 0, 4, 0, 2, 3, 1, 4, 3, 0, 1, 2, 2, 2, 4, 3, 0, 4, 2, 4, 2, 2, 3, 1, 0, 3, 3, 2, 0, 0, 4, 4, 3, 1, 1, 4, 2, 0, 2, 0, 4, 1, 1, 0, 2, 4, 1, 2, 3, 2, 0, 1, 3, 2, 4, 4] pubkeycol408 = [3, 0, 0, 4, 3, 1, 4, 4, 1, 4, 4, 2, 2, 2, 4, 2, 3, 1, 1, 0, 0, 1, 3, 4, 3, 3, 1, 3, 2, 0, 0, 2, 1, 4, 2, 0, 2, 4, 3, 2, 0, 3, 0, 1, 4, 3, 4, 1, 2, 4, 1, 3, 1, 0, 1, 2, 4, 4, 0, 3, 2, 0, 2, 3, 1, 1, 1, 0, 4, 1, 1, 0, 3, 1, 0, 4, 3, 2, 0, 0, 4, 3, 3, 2, 2, 2, 4, 2, 3, 0, 3, 3, 2, 3, 4, 0, 3, 2, 1, 1, 1, 0, 3, 2, 1, 2, 2, 4, 2, 3, 4, 4, 3, 4, 2, 3, 0, 2, 2, 4, 3, 0, 2, 3, 2, 2, 3, 1, 0, 3, 3, 3, 4, 2, 4, 2, 3, 4, 2, 2, 4, 4, 1, 1, 0, 0, 3, 0, 3, 3, 2, 3, 0, 1, 4, 3, 1, 4, 3, 2, 2, 2, 4, 0, 3, 4, 0, 2, 2, 0, 0, 4, 0, 4, 3, 3, 1, 1, 1, 4, 0, 4, 0, 4, 1, 3, 3, 3, 1, 4, 0, 2, 3, 1, 1, 2, 0, 3, 3, 2, 2, 3, 4, 0, 2, 4, 2, 1, 3, 1, 3, 1, 0, 4, 1, 1, 3, 2, 2, 0, 1, 3, 0, 4, 4, 1, 1, 3, 2, 1, 0, 2, 3, 1, 0, 0, 3, 4, 0, 4, 4, 4, 4, 1, 3, 3, 2, 4, 2, 0, 0, 1, 4, 0, 2, 4, 2, 4, 1, 2, 4, 4, 3, 1, 3, 2, 2, 2, 1, 0, 1, 4, 3, 0, 3, 0, 3, 3, 0, 1, 0, 4, 0, 4, 1, 4, 4, 1, 2, 3, 4, 4, 3, 2, 1, 3, 2, 0, 1, 0, 1, 0, 2, 3, 1, 1, 2, 3, 1, 1, 4, 1, 1, 3, 2, 2, 0, 0, 3, 2] pubkeycol409 = [3, 2, 0, 3, 4, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 4, 4, 4, 2, 3, 2, 3, 1, 2, 0, 4, 3, 3, 4, 4, 0, 4, 4, 1, 1, 0, 1, 2, 2, 0, 4, 3, 0, 0, 2, 1, 4, 2, 0, 0, 4, 4, 0, 3, 2, 1, 2, 4, 1, 1, 0, 4, 2, 1, 2, 4, 2, 0, 3, 0, 0, 4, 4, 3, 4, 4, 3, 1, 2, 0, 1, 0, 0, 0, 4, 1, 1, 3, 1, 4, 0, 3, 3, 3, 4, 3, 0, 1, 1, 4, 3, 1, 3, 3, 4, 1, 4, 4, 2, 0, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 2, 0, 2, 0, 3, 4, 2, 1, 0, 4, 3, 2, 2, 4, 0, 4, 3, 3, 1, 0, 4, 4, 4, 3, 0, 1, 3, 0, 3, 0, 4, 4, 4, 3, 4, 1, 0, 3, 3, 2, 2, 4, 2, 1, 0, 2, 4, 3, 4, 1, 2, 4, 2, 0, 4, 1, 0, 2, 4, 0, 4, 0, 0, 2, 2, 3, 2, 4, 2, 2, 4, 3, 4, 2, 3, 1, 2, 4, 0, 0, 1, 0, 4, 4, 1, 0, 1, 0, 2, 3, 4, 2, 4, 3, 2, 2, 4, 3, 4, 1, 1, 1, 0, 3, 2, 2, 1, 3, 4, 0, 0, 3, 2, 2, 1, 1, 0, 2, 3, 2, 0, 0, 1, 4, 4, 2, 2, 1, 0, 3, 1, 4, 4, 3, 4, 3, 2, 1, 0, 4, 4, 4, 1, 4, 0, 4, 4, 1, 0, 2, 3, 1, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 1, 3, 2, 3, 0, 1, 3, 1, 0, 2, 1, 3, 4, 3, 1, 2, 2, 1, 4, 1, 0, 1, 1, 3, 2, 2, 0, 3, 1, 2, 4, 3, 1, 3, 3, 2, 0, 3] pubkeycol410 = [0, 3, 2, 4, 3, 2, 1, 2, 3, 0, 3, 0, 0, 0, 0, 2, 0, 4, 3, 4, 0, 0, 4, 4, 4, 2, 0, 2, 2, 4, 2, 2, 4, 1, 1, 0, 1, 2, 0, 3, 1, 1, 2, 3, 3, 2, 4, 0, 0, 3, 3, 3, 1, 4, 0, 3, 3, 1, 1, 2, 2, 4, 0, 1, 4, 4, 3, 0, 2, 2, 3, 2, 4, 0, 4, 2, 3, 4, 0, 2, 1, 1, 4, 2, 2, 2, 3, 3, 0, 1, 4, 2, 1, 0, 0, 2, 1, 1, 4, 1, 3, 4, 2, 2, 0, 2, 3, 2, 2, 4, 2, 0, 1, 2, 3, 2, 2, 4, 3, 0, 0, 1, 1, 1, 3, 2, 4, 4, 0, 2, 1, 4, 4, 4, 1, 3, 0, 3, 0, 2, 1, 3, 2, 4, 3, 4, 3, 1, 1, 4, 0, 2, 3, 2, 0, 4, 4, 4, 2, 0, 4, 3, 2, 4, 1, 1, 3, 3, 3, 3, 4, 2, 4, 3, 3, 1, 2, 4, 4, 2, 2, 4, 4, 0, 0, 3, 2, 4, 1, 1, 0, 3, 3, 0, 4, 3, 1, 2, 2, 4, 1, 0, 4, 1, 4, 3, 2, 0, 1, 4, 2, 0, 3, 1, 0, 4, 4, 0, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 4, 0, 0, 0, 4, 4, 1, 3, 2, 4, 1, 3, 2, 1, 4, 2, 1, 3, 3, 0, 1, 3, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 4, 0, 2, 0, 2, 3, 2, 4, 4, 2, 1, 2, 0, 0, 3, 3, 1, 3, 4, 4, 1, 3, 0, 3, 2, 4, 4, 4, 0, 2, 3, 3, 2, 4, 3, 3, 4, 3, 3, 1, 2, 1, 0, 2, 4, 1, 4, 2, 4, 2, 2, 3, 1, 1, 4, 3, 4, 2, 1] pubkeycol411 = [2, 1, 2, 3, 4, 0, 4, 0, 2, 1, 3, 4, 1, 4, 4, 0, 0, 4, 4, 4, 3, 0, 0, 1, 2, 2, 2, 3, 0, 2, 0, 2, 0, 1, 3, 1, 4, 1, 1, 1, 0, 0, 2, 3, 3, 3, 0, 3, 1, 2, 0, 0, 4, 3, 1, 3, 1, 3, 0, 0, 4, 2, 0, 1, 2, 0, 3, 2, 3, 4, 1, 0, 1, 0, 2, 0, 2, 4, 0, 2, 2, 2, 2, 4, 1, 2, 2, 2, 1, 3, 3, 1, 3, 4, 3, 0, 1, 3, 3, 1, 1, 3, 1, 4, 4, 0, 3, 3, 2, 4, 0, 4, 4, 0, 3, 1, 3, 4, 1, 2, 1, 2, 4, 0, 4, 2, 1, 0, 4, 0, 4, 1, 4, 4, 3, 4, 1, 0, 3, 2, 0, 3, 2, 4, 2, 0, 1, 2, 3, 0, 2, 0, 0, 4, 1, 2, 3, 1, 0, 2, 1, 4, 0, 4, 4, 4, 4, 0, 0, 0, 3, 2, 1, 2, 3, 3, 4, 0, 1, 3, 3, 2, 4, 0, 2, 2, 1, 3, 4, 1, 1, 0, 2, 3, 3, 4, 2, 4, 2, 0, 4, 0, 0, 3, 4, 0, 0, 2, 2, 1, 3, 1, 2, 0, 3, 1, 4, 0, 2, 2, 1, 2, 3, 2, 3, 3, 0, 2, 3, 1, 4, 2, 2, 3, 2, 3, 3, 0, 4, 0, 1, 4, 4, 0, 3, 0, 1, 0, 0, 3, 0, 2, 1, 3, 1, 4, 1, 0, 1, 3, 1, 4, 4, 4, 4, 4, 2, 1, 2, 3, 4, 4, 1, 3, 3, 4, 1, 3, 1, 0, 1, 4, 1, 4, 3, 2, 1, 4, 1, 2, 3, 4, 0, 0, 1, 1, 4, 2, 3, 1, 4, 1, 2, 1, 0, 4, 4, 4, 0, 2, 4, 3, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol412 = [0, 2, 3, 3, 4, 1, 1, 0, 4, 0, 3, 4, 2, 1, 1, 3, 4, 0, 0, 2, 3, 1, 3, 2, 0, 1, 1, 2, 3, 4, 1, 4, 2, 4, 2, 1, 0, 1, 1, 0, 0, 2, 3, 2, 4, 2, 4, 4, 1, 0, 4, 4, 2, 3, 0, 1, 2, 0, 4, 1, 0, 3, 1, 2, 4, 4, 0, 4, 3, 4, 1, 3, 2, 1, 3, 2, 0, 3, 4, 3, 4, 0, 0, 4, 0, 3, 4, 4, 4, 3, 1, 2, 2, 2, 4, 3, 2, 1, 4, 0, 0, 2, 3, 0, 1, 2, 4, 1, 4, 4, 4, 3, 1, 0, 2, 4, 3, 0, 2, 0, 4, 2, 3, 2, 3, 2, 0, 0, 4, 0, 3, 4, 2, 0, 1, 2, 2, 2, 3, 3, 1, 4, 3, 1, 1, 1, 2, 1, 4, 3, 3, 2, 3, 3, 0, 1, 3, 3, 2, 2, 3, 3, 3, 4, 4, 3, 2, 0, 0, 1, 2, 0, 4, 3, 4, 4, 1, 3, 4, 0, 4, 2, 1, 2, 0, 3, 4, 3, 3, 3, 0, 3, 1, 3, 4, 1, 3, 4, 4, 2, 2, 1, 1, 2, 2, 3, 3, 4, 2, 4, 2, 4, 4, 2, 2, 3, 3, 0, 3, 4, 0, 3, 0, 2, 1, 1, 2, 1, 3, 4, 0, 1, 3, 0, 1, 0, 3, 1, 3, 1, 3, 0, 2, 0, 2, 0, 3, 1, 3, 0, 3, 4, 2, 0, 2, 3, 2, 0, 4, 0, 4, 4, 4, 0, 2, 0, 4, 4, 4, 2, 4, 2, 2, 1, 2, 1, 4, 3, 4, 2, 2, 2, 4, 2, 0, 0, 2, 3, 0, 3, 2, 3, 1, 4, 0, 3, 1, 1, 2, 2, 2, 4, 4, 4, 3, 0, 3, 3, 0, 2, 1, 2, 0, 0, 2, 4, 2, 2, 3, 1] pubkeycol413 = [2, 1, 1, 0, 0, 0, 2, 1, 3, 2, 2, 3, 2, 4, 4, 4, 3, 3, 4, 2, 0, 2, 0, 1, 4, 2, 0, 2, 0, 4, 2, 2, 2, 0, 3, 1, 4, 3, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 4, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 0, 0, 3, 2, 3, 3, 1, 0, 0, 1, 1, 2, 1, 1, 4, 0, 3, 0, 3, 2, 3, 0, 2, 2, 3, 1, 0, 4, 4, 4, 1, 0, 4, 2, 3, 2, 1, 0, 2, 0, 4, 2, 1, 1, 4, 0, 0, 1, 2, 3, 2, 0, 0, 4, 4, 3, 1, 4, 4, 1, 1, 2, 2, 3, 1, 3, 4, 0, 0, 0, 1, 4, 3, 0, 2, 3, 1, 0, 0, 0, 1, 3, 3, 1, 4, 2, 3, 0, 3, 4, 1, 2, 1, 4, 2, 3, 1, 2, 0, 0, 3, 1, 0, 0, 3, 4, 2, 0, 4, 1, 1, 1, 3, 0, 1, 2, 2, 3, 1, 0, 3, 2, 0, 4, 1, 1, 4, 2, 1, 1, 4, 2, 4, 1, 0, 3, 1, 0, 1, 2, 0, 3, 3, 4, 1, 1, 2, 2, 3, 0, 4, 2, 1, 4, 2, 1, 1, 1, 4, 2, 2, 4, 4, 4, 2, 3, 1, 2, 0, 2, 3, 2, 0, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 1, 2, 1, 4, 1, 4, 1, 3, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 4, 3, 1, 3, 2, 1, 4, 2, 2, 0, 3, 2, 4, 3, 3, 3, 1, 4, 1, 0, 3, 2, 0, 0, 4, 4, 2, 3, 3, 0, 2, 2, 3, 1, 0, 1, 0, 3, 1, 1, 4, 4, 1, 3, 0, 0, 2, 2, 0] pubkeycol414 = [4, 1, 0, 2, 2, 2, 0, 1, 4, 3, 4, 4, 1, 4, 3, 2, 3, 2, 3, 3, 2, 4, 2, 4, 1, 0, 2, 0, 3, 0, 2, 1, 4, 4, 0, 3, 3, 4, 3, 1, 0, 0, 2, 4, 2, 4, 2, 1, 2, 2, 1, 1, 0, 4, 0, 3, 3, 3, 2, 3, 2, 3, 1, 4, 4, 4, 0, 0, 4, 0, 3, 1, 1, 0, 2, 4, 1, 3, 3, 4, 0, 3, 4, 3, 3, 0, 3, 4, 0, 3, 0, 3, 3, 4, 0, 2, 2, 1, 4, 3, 4, 4, 1, 3, 3, 4, 4, 3, 1, 0, 2, 0, 4, 3, 1, 2, 4, 1, 4, 2, 3, 2, 1, 4, 2, 3, 0, 0, 4, 4, 0, 2, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 0, 2, 4, 0, 3, 0, 3, 2, 3, 0, 2, 4, 4, 3, 4, 2, 0, 4, 1, 3, 2, 4, 2, 1, 4, 0, 2, 4, 2, 3, 3, 1, 1, 0, 2, 4, 0, 0, 4, 1, 2, 2, 4, 3, 2, 3, 2, 4, 4, 3, 3, 1, 2, 3, 0, 3, 1, 0, 2, 3, 0, 0, 2, 3, 4, 1, 1, 4, 3, 4, 4, 1, 4, 2, 0, 3, 0, 2, 0, 2, 3, 0, 4, 0, 2, 3, 1, 0, 1, 3, 4, 3, 0, 4, 2, 3, 2, 0, 0, 0, 3, 0, 3, 2, 1, 1, 4, 0, 0, 2, 4, 3, 4, 0, 3, 0, 2, 1, 0, 2, 3, 3, 3, 1, 2, 2, 0, 0, 2, 4, 3, 4, 2, 0, 3, 3, 1, 4, 3, 4, 2, 1, 0, 0, 4, 0, 3, 4, 0, 2, 2, 3, 4, 3, 1, 3, 1, 2, 1, 1, 3, 3, 3, 4, 1, 0, 2, 3, 3, 1, 0, 4, 0, 4, 1, 2, 3, 4] pubkeycol415 = [2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 4, 0, 0, 4, 2, 4, 3, 2, 3, 2, 4, 2, 3, 4, 0, 3, 0, 2, 3, 1, 3, 0, 2, 4, 2, 2, 0, 3, 3, 4, 0, 4, 1, 4, 2, 3, 0, 3, 0, 4, 4, 1, 4, 2, 2, 3, 2, 3, 2, 2, 0, 2, 3, 4, 4, 0, 0, 1, 0, 3, 1, 4, 4, 4, 2, 3, 2, 2, 0, 3, 1, 4, 0, 1, 3, 1, 4, 0, 1, 0, 3, 0, 1, 3, 4, 0, 0, 0, 0, 4, 4, 4, 2, 4, 4, 2, 4, 4, 3, 2, 1, 4, 4, 4, 4, 1, 2, 0, 0, 4, 0, 3, 1, 4, 0, 4, 4, 3, 0, 0, 0, 4, 3, 1, 2, 4, 1, 0, 4, 4, 0, 2, 0, 1, 2, 4, 0, 1, 1, 2, 1, 0, 3, 1, 4, 1, 0, 4, 2, 2, 0, 3, 4, 2, 1, 1, 1, 3, 4, 1, 2, 3, 4, 3, 0, 4, 3, 4, 1, 4, 2, 4, 3, 4, 4, 0, 4, 1, 1, 4, 4, 4, 2, 3, 0, 4, 3, 3, 0, 2, 0, 0, 1, 1, 3, 3, 4, 1, 3, 1, 3, 4, 1, 1, 3, 3, 4, 1, 0, 0, 2, 0, 4, 3, 2, 2, 4, 3, 1, 4, 3, 0, 4, 0, 2, 2, 1, 2, 1, 1, 1, 3, 1, 2, 2, 1, 2, 0, 4, 2, 1, 4, 2, 4, 4, 4, 0, 4, 2, 3, 2, 3, 1, 4, 2, 0, 0, 3, 2, 3, 2, 1, 1, 4, 1, 2, 4, 0, 4, 1, 0, 1, 1, 0, 0, 0, 0, 4, 0, 1, 3, 0, 4, 4, 1, 1, 3, 4, 4, 2, 3, 3, 0, 4, 4, 1, 0, 1, 1, 3, 0, 3, 1, 1, 4, 1, 2, 3, 1] pubkeycol416 = [0, 1, 4, 2, 2, 2, 3, 4, 2, 0, 4, 0, 3, 1, 0, 1, 1, 1, 4, 4, 1, 1, 3, 0, 2, 2, 3, 0, 0, 2, 3, 0, 4, 4, 2, 2, 0, 2, 1, 4, 0, 0, 2, 0, 1, 2, 1, 3, 0, 0, 1, 4, 1, 1, 4, 0, 1, 3, 1, 4, 1, 2, 0, 0, 3, 1, 0, 3, 2, 0, 1, 2, 1, 3, 3, 2, 2, 3, 0, 0, 1, 2, 3, 2, 0, 1, 0, 3, 3, 0, 2, 0, 1, 1, 3, 4, 2, 0, 3, 0, 3, 2, 0, 4, 0, 0, 0, 4, 3, 0, 0, 4, 4, 0, 0, 4, 1, 4, 4, 2, 2, 1, 2, 2, 2, 3, 0, 3, 4, 3, 1, 2, 2, 4, 0, 1, 3, 1, 3, 1, 0, 3, 0, 3, 0, 2, 0, 1, 3, 3, 3, 2, 2, 4, 0, 0, 4, 1, 3, 3, 0, 2, 1, 2, 0, 3, 0, 4, 3, 0, 1, 1, 1, 4, 3, 0, 2, 0, 3, 4, 4, 4, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 4, 2, 2, 0, 0, 1, 1, 4, 0, 1, 3, 4, 1, 0, 2, 0, 0, 0, 0, 3, 1, 0, 3, 1, 0, 0, 4, 2, 4, 4, 3, 3, 4, 0, 1, 0, 2, 4, 3, 0, 2, 1, 4, 0, 0, 3, 1, 3, 3, 2, 3, 3, 1, 1, 2, 4, 3, 2, 3, 4, 2, 2, 0, 1, 0, 2, 1, 4, 2, 1, 2, 0, 1, 1, 1, 2, 3, 2, 3, 3, 1, 3, 3, 4, 2, 2, 4, 3, 0, 2, 2, 0, 0, 0, 1, 2, 3, 1, 0, 0, 3, 0, 1, 2, 2, 2, 0, 3, 2, 4, 3, 2, 3, 0, 2, 0, 4, 3, 0, 0, 3, 0, 4, 4, 4, 1, 0, 2] pubkeycol417 = [4, 0, 1, 1, 4, 0, 2, 3, 4, 4, 1, 4, 3, 0, 2, 2, 4, 4, 3, 2, 2, 0, 4, 3, 2, 4, 2, 1, 4, 3, 1, 3, 2, 3, 1, 2, 3, 3, 0, 3, 2, 3, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 3, 0, 4, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 3, 4, 4, 4, 0, 2, 2, 1, 3, 4, 3, 1, 2, 1, 2, 4, 3, 4, 2, 2, 1, 1, 2, 2, 0, 4, 1, 2, 4, 0, 4, 3, 4, 4, 0, 3, 0, 0, 0, 1, 3, 4, 1, 0, 2, 3, 0, 4, 3, 2, 1, 0, 2, 3, 1, 3, 1, 3, 2, 4, 2, 2, 1, 1, 1, 1, 2, 3, 1, 0, 0, 0, 4, 1, 0, 2, 2, 1, 3, 1, 1, 1, 2, 0, 4, 2, 0, 0, 4, 0, 1, 1, 1, 0, 4, 3, 3, 0, 3, 1, 1, 3, 4, 0, 4, 1, 2, 1, 0, 1, 3, 4, 4, 3, 4, 3, 1, 4, 0, 1, 1, 1, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 1, 4, 3, 3, 0, 2, 1, 1, 4, 0, 3, 0, 0, 3, 4, 4, 3, 3, 3, 4, 2, 4, 1, 0, 2, 4, 2, 1, 1, 4, 4, 1, 2, 2, 0, 1, 2, 3, 2, 0, 1, 3, 3, 2, 0, 4, 2, 1, 4, 1, 2, 1, 4, 2, 0, 4, 3, 3, 2, 0, 3, 3, 1, 0, 3, 4, 3, 0, 0, 4, 4, 0, 0, 0, 0, 4, 3, 4, 3, 2, 4, 2, 2, 3, 1, 3, 2, 2, 1, 0, 0, 1, 1, 1, 3, 0, 4, 1, 2, 1, 4, 1, 3, 2, 2, 4, 0, 2, 2, 1, 2, 1, 3, 4, 3, 2, 2, 4] pubkeycol418 = [3, 1, 1, 0, 3, 1, 2, 3, 0, 1, 2, 0, 1, 1, 4, 3, 4, 1, 2, 1, 2, 0, 1, 3, 0, 1, 3, 0, 2, 4, 1, 2, 2, 1, 0, 3, 4, 2, 0, 3, 1, 3, 0, 3, 1, 4, 0, 3, 3, 3, 4, 2, 4, 2, 2, 2, 0, 2, 3, 2, 2, 2, 3, 4, 2, 4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 3, 3, 4, 1, 0, 2, 4, 3, 0, 0, 1, 2, 0, 0, 2, 2, 4, 1, 4, 0, 2, 0, 1, 0, 3, 4, 3, 3, 1, 0, 0, 1, 1, 1, 0, 0, 4, 3, 0, 2, 0, 2, 2, 4, 2, 1, 1, 1, 0, 3, 2, 0, 4, 3, 1, 4, 0, 1, 0, 3, 3, 1, 3, 1, 1, 0, 4, 3, 2, 0, 4, 3, 1, 3, 2, 0, 1, 3, 4, 1, 3, 0, 3, 3, 4, 2, 1, 4, 2, 4, 4, 2, 1, 0, 1, 0, 3, 4, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 1, 3, 3, 2, 1, 3, 1, 2, 2, 2, 4, 3, 1, 0, 0, 4, 0, 3, 0, 0, 0, 4, 1, 4, 0, 1, 1, 0, 4, 2, 1, 2, 3, 0, 2, 3, 3, 1, 3, 1, 4, 3, 3, 0, 3, 3, 0, 4, 4, 2, 3, 0, 3, 3, 1, 3, 0, 3, 4, 4, 4, 3, 4, 3, 1, 4, 4, 4, 2, 1, 2, 0, 2, 3, 0, 0, 2, 2, 4, 3, 4, 2, 0, 2, 1, 4, 4, 4, 2, 2, 3, 3, 4, 4, 0, 0, 1, 0, 4, 4, 1, 0, 1, 2, 2, 4, 0, 3, 2, 0, 1, 3, 3, 2, 2, 0, 1, 1, 2, 1, 4, 3, 4, 4, 1, 4, 1, 1, 3, 4, 2, 3, 2, 1, 4, 1, 2] pubkeycol419 = [1, 4, 3, 3, 2, 4, 1, 0, 3, 3, 1, 3, 4, 4, 2, 0, 3, 1, 0, 2, 3, 1, 4, 4, 1, 0, 2, 1, 3, 2, 0, 1, 3, 4, 0, 4, 2, 4, 3, 4, 1, 1, 1, 1, 0, 1, 2, 4, 3, 0, 0, 2, 4, 1, 2, 2, 3, 0, 3, 3, 4, 2, 1, 1, 4, 0, 1, 2, 3, 3, 3, 3, 3, 3, 1, 4, 2, 2, 4, 2, 2, 2, 2, 3, 0, 4, 1, 3, 3, 0, 2, 4, 4, 3, 1, 1, 4, 0, 0, 2, 0, 4, 0, 1, 4, 1, 3, 1, 4, 4, 2, 3, 0, 2, 1, 2, 3, 4, 2, 2, 2, 2, 0, 0, 4, 1, 1, 3, 4, 4, 1, 4, 2, 4, 0, 2, 2, 2, 0, 2, 4, 4, 1, 1, 1, 2, 1, 0, 1, 0, 4, 3, 1, 3, 3, 0, 0, 3, 2, 4, 3, 4, 2, 4, 4, 1, 3, 3, 1, 3, 4, 2, 1, 2, 1, 2, 1, 0, 0, 0, 3, 4, 3, 4, 4, 1, 1, 2, 4, 2, 4, 0, 1, 0, 4, 3, 1, 2, 1, 1, 0, 4, 4, 0, 0, 4, 3, 1, 4, 2, 2, 3, 3, 4, 0, 0, 4, 2, 4, 3, 0, 2, 4, 4, 1, 2, 2, 1, 2, 4, 2, 1, 1, 0, 2, 2, 1, 4, 4, 4, 3, 3, 1, 2, 1, 4, 1, 4, 4, 2, 2, 3, 4, 1, 1, 0, 0, 0, 4, 3, 1, 3, 0, 3, 0, 2, 2, 0, 4, 1, 1, 2, 2, 0, 4, 1, 0, 3, 2, 3, 0, 1, 0, 1, 1, 1, 2, 0, 3, 0, 1, 0, 3, 4, 2, 0, 4, 0, 3, 2, 0, 2, 3, 4, 4, 1, 3, 4, 2, 2, 1, 3, 3, 2, 2, 4, 4, 3, 0, 2] pubkeycol420 = [4, 0, 0, 0, 3, 3, 2, 3, 2, 4, 1, 4, 0, 4, 2, 3, 0, 1, 0, 0, 0, 3, 0, 0, 3, 4, 4, 1, 3, 0, 4, 3, 4, 3, 3, 1, 3, 3, 1, 0, 3, 0, 2, 1, 3, 3, 4, 4, 2, 0, 2, 4, 4, 1, 3, 3, 0, 1, 0, 1, 4, 0, 3, 4, 4, 2, 4, 2, 4, 4, 2, 2, 2, 3, 3, 4, 2, 2, 4, 4, 0, 2, 1, 0, 2, 0, 4, 1, 4, 2, 3, 0, 0, 3, 3, 3, 1, 2, 4, 3, 0, 3, 2, 3, 4, 2, 0, 0, 1, 4, 3, 2, 0, 1, 2, 4, 4, 3, 3, 0, 2, 1, 0, 2, 4, 3, 2, 3, 1, 3, 4, 1, 0, 0, 4, 3, 2, 4, 4, 2, 3, 2, 2, 3, 4, 2, 4, 2, 2, 4, 0, 2, 2, 4, 1, 1, 3, 1, 4, 0, 0, 4, 1, 1, 2, 1, 2, 4, 0, 2, 3, 4, 1, 0, 2, 2, 4, 3, 2, 0, 3, 1, 2, 0, 2, 0, 1, 0, 2, 4, 2, 4, 1, 1, 2, 3, 2, 2, 2, 2, 4, 3, 1, 3, 0, 4, 0, 3, 3, 1, 0, 3, 2, 1, 4, 4, 4, 2, 2, 0, 1, 0, 0, 0, 3, 0, 1, 0, 0, 1, 3, 4, 4, 3, 0, 0, 0, 3, 1, 2, 1, 3, 2, 2, 3, 1, 2, 1, 4, 3, 0, 3, 1, 2, 1, 0, 3, 2, 1, 0, 1, 1, 2, 0, 3, 1, 4, 0, 4, 3, 0, 4, 0, 4, 4, 1, 2, 2, 4, 2, 3, 4, 3, 1, 0, 0, 0, 2, 3, 1, 3, 1, 3, 2, 4, 4, 1, 1, 1, 0, 4, 0, 3, 0, 4, 3, 0, 0, 3, 3, 3, 0, 3, 2, 3, 4, 1, 0, 0, 4] pubkeycol421 = [4, 3, 3, 1, 3, 1, 3, 1, 2, 2, 2, 1, 4, 0, 2, 0, 4, 3, 1, 0, 0, 4, 2, 1, 3, 2, 2, 0, 2, 1, 3, 4, 1, 3, 1, 4, 3, 0, 0, 2, 1, 1, 0, 2, 2, 2, 3, 1, 0, 0, 2, 0, 3, 4, 1, 1, 4, 3, 2, 2, 0, 0, 4, 1, 0, 4, 2, 0, 4, 1, 4, 0, 3, 2, 4, 3, 3, 3, 3, 4, 1, 3, 0, 2, 1, 3, 1, 2, 3, 4, 0, 3, 3, 4, 1, 3, 3, 4, 2, 1, 2, 3, 4, 1, 0, 4, 1, 4, 4, 2, 1, 2, 1, 1, 3, 0, 0, 4, 1, 3, 1, 3, 4, 4, 3, 2, 4, 3, 0, 3, 0, 2, 2, 2, 3, 1, 3, 0, 2, 2, 3, 4, 2, 2, 4, 2, 2, 2, 4, 0, 4, 3, 4, 1, 2, 3, 1, 3, 2, 0, 4, 0, 0, 4, 4, 3, 3, 2, 2, 1, 0, 2, 0, 0, 1, 2, 4, 4, 2, 0, 2, 0, 1, 4, 0, 0, 0, 2, 0, 0, 3, 1, 3, 0, 2, 4, 1, 1, 0, 4, 2, 0, 3, 0, 4, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 0, 3, 1, 4, 3, 1, 1, 4, 1, 2, 0, 1, 4, 3, 0, 3, 1, 2, 3, 1, 1, 2, 4, 1, 1, 2, 3, 3, 1, 0, 2, 4, 0, 0, 3, 1, 3, 0, 0, 1, 4, 4, 1, 2, 3, 0, 0, 1, 1, 4, 1, 2, 2, 0, 0, 1, 2, 4, 1, 3, 0, 3, 3, 1, 3, 3, 2, 0, 3, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 3, 3, 3, 2, 1, 0, 3, 1, 1, 1, 1, 3, 0, 2, 4, 3, 3, 3, 1, 4, 4, 4, 2] pubkeycol422 = [1, 2, 4, 4, 0, 3, 0, 0, 3, 2, 4, 3, 1, 4, 2, 4, 2, 4, 1, 3, 1, 0, 3, 3, 4, 0, 3, 3, 2, 0, 4, 2, 0, 4, 0, 4, 2, 1, 2, 2, 0, 3, 4, 0, 2, 0, 0, 3, 4, 1, 3, 1, 0, 4, 2, 3, 3, 0, 3, 0, 3, 2, 1, 1, 3, 2, 2, 4, 1, 2, 4, 1, 1, 2, 3, 3, 0, 0, 2, 0, 0, 0, 2, 0, 2, 3, 3, 0, 0, 2, 3, 3, 3, 3, 4, 0, 0, 4, 0, 2, 0, 3, 1, 2, 4, 2, 4, 4, 2, 3, 4, 4, 2, 1, 2, 4, 4, 3, 2, 3, 4, 0, 0, 2, 4, 2, 4, 0, 0, 3, 2, 1, 3, 1, 1, 4, 4, 1, 1, 2, 3, 2, 0, 1, 2, 3, 0, 1, 2, 1, 1, 2, 1, 0, 1, 4, 1, 0, 2, 2, 1, 4, 3, 1, 1, 2, 0, 4, 2, 2, 4, 1, 3, 4, 2, 1, 4, 2, 0, 1, 2, 4, 1, 4, 1, 0, 1, 0, 0, 1, 1, 0, 4, 0, 3, 4, 3, 1, 2, 4, 2, 4, 4, 0, 3, 1, 1, 0, 2, 2, 3, 0, 0, 4, 3, 2, 4, 0, 4, 3, 4, 0, 0, 3, 4, 3, 1, 0, 4, 3, 0, 4, 3, 1, 1, 2, 4, 0, 4, 4, 3, 1, 1, 2, 0, 1, 0, 4, 2, 3, 4, 1, 0, 4, 0, 0, 4, 1, 1, 4, 0, 1, 3, 1, 2, 3, 0, 0, 1, 1, 0, 3, 1, 3, 2, 4, 2, 4, 2, 1, 0, 2, 0, 4, 4, 3, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 3, 3, 4, 2, 3, 3, 1, 3, 3, 4, 3, 0, 0, 1, 4, 1, 1] pubkeycol423 = [3, 0, 0, 0, 2, 4, 0, 3, 4, 1, 3, 2, 2, 2, 0, 4, 2, 4, 2, 2, 2, 3, 2, 3, 0, 0, 3, 2, 4, 0, 2, 1, 1, 3, 0, 1, 3, 4, 0, 1, 0, 3, 4, 4, 3, 3, 0, 3, 3, 0, 0, 2, 2, 4, 2, 2, 2, 3, 4, 4, 3, 0, 3, 1, 0, 3, 1, 3, 0, 1, 1, 4, 1, 1, 4, 3, 1, 2, 0, 2, 2, 2, 3, 2, 1, 1, 3, 0, 4, 1, 0, 3, 2, 3, 2, 0, 1, 2, 4, 2, 0, 4, 2, 4, 2, 2, 1, 4, 4, 1, 1, 2, 3, 0, 4, 1, 2, 4, 1, 4, 3, 1, 4, 3, 0, 4, 2, 3, 0, 0, 1, 3, 2, 4, 2, 2, 3, 2, 2, 1, 3, 4, 3, 2, 2, 3, 2, 2, 0, 4, 2, 3, 1, 0, 1, 1, 3, 3, 1, 4, 3, 1, 4, 2, 1, 4, 0, 4, 1, 3, 1, 0, 4, 0, 3, 3, 3, 1, 2, 3, 4, 1, 2, 1, 1, 3, 2, 1, 0, 1, 4, 4, 4, 0, 2, 4, 2, 3, 2, 3, 4, 1, 3, 4, 0, 3, 0, 4, 4, 3, 0, 4, 2, 3, 2, 2, 0, 1, 2, 1, 4, 4, 4, 3, 2, 3, 3, 0, 4, 4, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 3, 4, 0, 0, 2, 2, 2, 1, 2, 4, 1, 1, 4, 0, 1, 3, 1, 1, 0, 0, 1, 4, 4, 0, 0, 3, 0, 3, 3, 1, 0, 1, 0, 3, 0, 1, 1, 4, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 1, 2, 2, 0, 1, 3, 2, 0, 4, 0, 3, 1, 1, 2, 4, 0, 1, 1, 2, 2, 3, 1, 2, 2, 4, 2, 3, 4, 4] pubkeycol424 = [1, 0, 2, 1, 3, 3, 4, 1, 3, 4, 1, 3, 3, 4, 1, 2, 3, 3, 2, 3, 2, 1, 1, 4, 3, 0, 2, 4, 1, 3, 4, 3, 0, 0, 4, 2, 4, 4, 3, 0, 3, 2, 3, 0, 2, 0, 3, 1, 3, 3, 2, 1, 0, 1, 0, 1, 3, 4, 1, 1, 0, 2, 1, 0, 4, 1, 0, 1, 2, 4, 0, 1, 4, 2, 3, 0, 2, 1, 1, 4, 2, 0, 0, 0, 3, 2, 2, 4, 2, 2, 0, 1, 1, 2, 4, 3, 0, 3, 3, 1, 3, 4, 1, 2, 3, 3, 4, 0, 2, 3, 4, 0, 2, 3, 0, 4, 2, 2, 3, 1, 4, 0, 4, 2, 4, 4, 0, 1, 1, 0, 0, 0, 3, 1, 2, 2, 0, 2, 4, 0, 3, 3, 1, 4, 2, 2, 3, 2, 4, 3, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 4, 2, 1, 4, 4, 4, 1, 4, 4, 0, 2, 4, 0, 2, 4, 0, 2, 4, 3, 1, 4, 1, 4, 0, 1, 1, 3, 4, 1, 4, 4, 2, 1, 4, 1, 0, 4, 2, 1, 1, 2, 2, 4, 3, 1, 4, 4, 0, 0, 1, 1, 2, 1, 0, 4, 2, 4, 0, 4, 4, 4, 0, 1, 4, 3, 3, 1, 4, 0, 4, 4, 2, 0, 3, 2, 3, 0, 4, 4, 2, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 4, 3, 1, 1, 4, 3, 2, 1, 3, 4, 1, 2, 4, 2, 0, 2, 0, 3, 0, 0, 3, 3, 0, 1, 1, 4, 3, 3, 2, 0, 1, 1, 0, 2, 4, 2, 1, 4, 2, 2, 0, 4, 2, 1, 3, 4, 0, 2, 0, 1, 3, 2, 3, 4, 2, 4, 0, 0, 2, 4, 2, 2, 3, 2, 4, 3, 0, 3, 2, 3] pubkeycol425 = [3, 0, 3, 2, 1, 4, 1, 0, 3, 2, 3, 2, 2, 4, 0, 4, 2, 0, 4, 3, 0, 0, 3, 4, 4, 4, 3, 0, 1, 4, 2, 2, 4, 3, 4, 0, 1, 0, 3, 0, 2, 3, 3, 3, 1, 4, 2, 3, 0, 2, 1, 0, 1, 1, 3, 4, 1, 2, 2, 1, 2, 0, 0, 0, 4, 0, 4, 1, 2, 0, 4, 3, 3, 1, 0, 2, 1, 0, 0, 0, 4, 2, 2, 1, 0, 1, 4, 1, 1, 2, 2, 3, 4, 4, 1, 2, 4, 3, 0, 1, 3, 3, 0, 1, 3, 2, 4, 1, 3, 0, 1, 3, 4, 1, 3, 3, 0, 1, 4, 2, 2, 1, 1, 0, 1, 2, 2, 3, 0, 2, 0, 3, 1, 4, 0, 4, 0, 2, 0, 3, 4, 0, 4, 3, 2, 1, 3, 4, 0, 4, 1, 3, 1, 0, 1, 1, 3, 4, 2, 1, 2, 4, 3, 1, 2, 0, 2, 3, 0, 3, 0, 4, 3, 4, 0, 1, 1, 0, 0, 3, 3, 0, 2, 3, 0, 4, 0, 1, 1, 1, 4, 1, 1, 2, 1, 0, 0, 3, 1, 3, 4, 2, 4, 1, 0, 3, 4, 2, 0, 2, 2, 4, 1, 4, 3, 3, 0, 2, 4, 4, 2, 0, 0, 4, 2, 2, 0, 1, 3, 2, 2, 0, 0, 2, 3, 2, 1, 2, 2, 1, 2, 4, 3, 2, 1, 3, 0, 0, 1, 2, 3, 2, 2, 0, 0, 2, 2, 4, 3, 0, 3, 4, 3, 0, 3, 1, 4, 3, 2, 2, 2, 0, 2, 2, 2, 3, 2, 0, 4, 3, 1, 0, 1, 4, 1, 2, 3, 4, 4, 4, 1, 4, 2, 4, 3, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 4, 1, 2, 4, 1, 4, 4, 3, 4, 3, 2, 1, 3, 4] pubkeycol426 = [0, 1, 0, 0, 0, 3, 0, 3, 0, 4, 1, 1, 0, 4, 4, 4, 1, 1, 2, 3, 1, 1, 0, 4, 4, 4, 1, 3, 2, 3, 2, 3, 3, 4, 0, 0, 2, 1, 2, 1, 3, 4, 4, 1, 2, 3, 2, 4, 4, 2, 4, 3, 0, 3, 1, 1, 4, 2, 3, 1, 2, 4, 1, 3, 1, 4, 3, 3, 3, 4, 2, 4, 1, 1, 0, 2, 4, 2, 0, 4, 4, 2, 3, 3, 2, 0, 2, 4, 0, 4, 4, 4, 0, 3, 4, 0, 3, 4, 2, 2, 1, 3, 3, 3, 4, 2, 2, 4, 2, 3, 1, 2, 4, 1, 2, 0, 1, 2, 1, 3, 0, 4, 3, 0, 2, 3, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 4, 0, 2, 3, 3, 0, 4, 1, 0, 2, 2, 1, 3, 2, 3, 0, 1, 0, 0, 4, 0, 0, 4, 4, 4, 2, 1, 3, 2, 1, 4, 0, 1, 1, 3, 4, 0, 0, 4, 1, 1, 4, 0, 4, 3, 2, 1, 3, 4, 0, 3, 4, 3, 3, 0, 0, 4, 4, 3, 4, 4, 0, 1, 4, 3, 3, 1, 1, 4, 1, 2, 3, 2, 4, 2, 2, 4, 3, 3, 3, 1, 0, 1, 2, 3, 3, 3, 0, 0, 4, 3, 4, 0, 1, 3, 3, 4, 0, 4, 3, 4, 0, 2, 0, 1, 3, 3, 0, 4, 3, 4, 3, 4, 3, 3, 1, 4, 1, 1, 4, 1, 4, 0, 4, 4, 0, 3, 1, 1, 4, 0, 2, 2, 3, 4, 1, 0, 1, 1, 0, 2, 1, 2, 3, 3, 3, 0, 4, 2, 3, 4, 1, 3, 4, 1, 2, 0, 4, 0, 3, 1, 3, 0, 2, 3, 0, 2, 4, 1, 3, 1, 1, 1, 4, 1, 0, 4, 1, 2, 0, 2, 4] pubkeycol427 = [0, 4, 3, 2, 1, 0, 4, 4, 4, 0, 3, 3, 0, 1, 4, 1, 3, 0, 0, 3, 2, 4, 0, 4, 2, 1, 3, 4, 0, 1, 4, 2, 3, 1, 2, 3, 3, 4, 1, 4, 2, 1, 3, 0, 3, 3, 0, 3, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 4, 2, 1, 4, 0, 1, 4, 0, 1, 3, 4, 3, 4, 3, 0, 0, 3, 1, 4, 0, 3, 0, 0, 1, 2, 2, 1, 1, 4, 3, 3, 2, 4, 3, 2, 3, 3, 2, 3, 1, 4, 1, 0, 1, 0, 1, 3, 4, 4, 0, 2, 0, 1, 0, 0, 4, 4, 0, 0, 0, 1, 0, 4, 1, 2, 3, 1, 2, 1, 2, 3, 1, 1, 3, 1, 1, 0, 2, 0, 1, 3, 3, 1, 4, 0, 2, 4, 4, 0, 0, 4, 4, 2, 0, 1, 3, 0, 4, 4, 1, 4, 1, 0, 1, 3, 4, 3, 2, 0, 3, 3, 0, 0, 0, 1, 4, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 3, 0, 1, 4, 1, 4, 2, 0, 2, 1, 3, 4, 0, 4, 1, 0, 4, 3, 4, 1, 3, 3, 3, 1, 3, 0, 4, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 4, 4, 2, 0, 0, 1, 4, 0, 0, 4, 0, 1, 2, 2, 4, 4, 4, 0, 4, 4, 2, 3, 0, 4, 4, 3, 4, 0, 4, 1, 4, 2, 1, 4, 2, 2, 4, 2, 3, 1, 4, 2, 3, 1, 0, 3, 3, 4, 4, 4, 3, 1, 1, 1, 1, 2, 2, 4, 3, 1, 2, 1, 1, 2, 2, 3, 3, 4, 0, 4, 3, 2, 3, 0, 3, 0, 1, 1, 4, 3, 2, 2, 4, 4, 4, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol428 = [2, 3, 4, 2, 0, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 4, 0, 0, 0, 2, 0, 3, 3, 0, 4, 2, 0, 3, 2, 0, 0, 1, 2, 4, 2, 0, 4, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 3, 0, 1, 1, 4, 0, 4, 3, 3, 4, 1, 1, 2, 2, 0, 1, 4, 0, 0, 1, 3, 4, 0, 1, 1, 4, 3, 4, 4, 4, 3, 4, 2, 3, 0, 1, 2, 1, 3, 3, 0, 0, 2, 4, 0, 4, 0, 1, 2, 3, 2, 0, 2, 3, 0, 1, 0, 0, 2, 4, 4, 1, 4, 0, 3, 4, 0, 4, 3, 4, 4, 1, 4, 3, 0, 1, 1, 2, 2, 3, 2, 1, 2, 2, 3, 1, 1, 1, 4, 2, 4, 1, 2, 4, 3, 0, 3, 0, 4, 1, 4, 4, 4, 1, 3, 1, 3, 0, 3, 2, 1, 3, 2, 4, 2, 3, 2, 4, 0, 4, 0, 3, 3, 2, 1, 3, 4, 4, 2, 4, 1, 1, 0, 2, 1, 1, 0, 0, 1, 3, 3, 2, 0, 4, 4, 4, 3, 4, 2, 0, 1, 0, 4, 2, 1, 4, 3, 3, 1, 0, 3, 4, 4, 0, 3, 4, 2, 0, 4, 1, 4, 3, 2, 4, 0, 3, 0, 3, 4, 3, 0, 3, 4, 4, 4, 0, 1, 3, 3, 2, 4, 2, 4, 1, 1, 0, 3, 1, 1, 2, 1, 1, 2, 4, 1, 3, 3, 4, 0, 2, 0, 4, 4, 3, 1, 4, 1, 2, 3, 2, 4, 4, 0, 0, 3, 3, 2, 1, 4, 2, 0, 0, 0, 4, 2, 2, 3, 4, 2, 2, 0, 1, 3, 4, 2, 2, 1, 3, 0, 3, 1, 4, 0, 4, 3, 3, 4, 4, 4, 3, 2, 4, 2, 2, 2, 3, 0, 4, 3, 3, 3] pubkeycol429 = [3, 0, 2, 0, 1, 3, 2, 0, 1, 3, 3, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 3, 4, 0, 1, 1, 3, 0, 2, 0, 0, 4, 3, 0, 4, 2, 3, 0, 4, 0, 0, 3, 1, 3, 4, 0, 2, 0, 4, 3, 0, 4, 0, 3, 4, 2, 0, 4, 2, 3, 0, 0, 1, 1, 2, 4, 0, 4, 1, 3, 2, 4, 0, 2, 3, 2, 1, 1, 3, 1, 3, 2, 2, 2, 0, 0, 2, 0, 1, 0, 4, 4, 4, 0, 0, 4, 4, 2, 4, 1, 0, 4, 1, 3, 0, 0, 0, 0, 0, 3, 0, 2, 1, 3, 4, 2, 0, 2, 1, 0, 4, 1, 0, 3, 3, 4, 2, 3, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 4, 1, 0, 4, 3, 4, 4, 1, 2, 1, 1, 1, 3, 4, 0, 4, 1, 1, 4, 0, 3, 3, 1, 2, 4, 2, 1, 3, 3, 2, 1, 1, 3, 3, 2, 0, 0, 0, 0, 0, 3, 4, 1, 0, 3, 1, 0, 4, 1, 3, 2, 2, 1, 0, 1, 4, 0, 3, 4, 3, 4, 3, 1, 3, 3, 4, 1, 3, 2, 4, 0, 1, 1, 2, 4, 2, 4, 0, 1, 4, 3, 1, 2, 3, 4, 1, 4, 4, 4, 2, 3, 3, 1, 4, 3, 2, 0, 1, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 4, 4, 1, 0, 1, 0, 3, 3, 0, 4, 2, 0, 0, 3, 0, 1, 0, 0, 3, 4, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 4, 2, 1, 1, 2, 1, 0, 3, 1, 4, 4, 2, 3, 1, 0, 4, 3, 2, 0, 1, 0, 4, 1, 2, 2, 4, 2, 1, 1, 2, 1, 1, 2, 3, 4, 2, 1] pubkeycol430 = [4, 2, 0, 4, 0, 0, 0, 2, 4, 1, 0, 0, 2, 1, 4, 1, 4, 2, 1, 1, 1, 2, 0, 2, 3, 0, 0, 0, 2, 2, 4, 3, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 0, 4, 3, 4, 4, 1, 2, 4, 0, 1, 3, 1, 4, 2, 4, 0, 0, 4, 4, 3, 0, 1, 1, 3, 2, 2, 3, 0, 4, 3, 3, 0, 4, 1, 3, 3, 2, 3, 1, 1, 1, 1, 1, 2, 0, 0, 1, 3, 2, 2, 2, 0, 3, 0, 3, 1, 0, 3, 2, 0, 2, 0, 0, 2, 0, 4, 3, 3, 1, 1, 3, 0, 0, 1, 4, 1, 1, 0, 1, 4, 3, 3, 2, 4, 2, 0, 4, 2, 0, 3, 1, 2, 0, 1, 4, 1, 4, 4, 4, 4, 4, 2, 4, 1, 3, 2, 3, 4, 3, 2, 4, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 3, 4, 2, 0, 4, 3, 3, 4, 2, 1, 0, 2, 4, 0, 3, 2, 2, 0, 2, 2, 4, 4, 3, 4, 3, 0, 4, 4, 0, 1, 4, 0, 3, 0, 2, 0, 1, 0, 4, 2, 1, 2, 2, 2, 2, 4, 3, 2, 0, 3, 0, 0, 0, 4, 4, 1, 1, 0, 4, 0, 2, 3, 3, 3, 4, 3, 1, 1, 4, 1, 3, 3, 4, 3, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 4, 3, 4, 3, 1, 1, 0, 2, 2, 1, 1, 4, 2, 3, 1, 1, 4, 1, 0, 0, 1, 4, 2, 3, 0, 2, 3, 3, 3, 2, 4, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 1, 0, 3, 0, 4, 2, 3, 1, 1, 1, 3, 2, 2, 1, 3, 1, 3, 4, 2, 2, 0, 4, 4, 1, 1, 3, 4, 3] pubkeycol431 = [4, 4, 3, 0, 1, 0, 4, 4, 2, 0, 4, 2, 3, 2, 1, 4, 4, 0, 1, 3, 0, 0, 1, 0, 4, 1, 0, 4, 3, 2, 2, 2, 1, 4, 0, 1, 0, 4, 4, 2, 4, 1, 2, 2, 1, 0, 4, 2, 2, 2, 3, 1, 0, 0, 2, 2, 2, 4, 3, 1, 0, 1, 2, 3, 1, 0, 0, 0, 2, 2, 3, 0, 2, 2, 3, 3, 3, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 3, 4, 0, 1, 1, 2, 4, 3, 3, 0, 2, 2, 1, 4, 1, 2, 1, 1, 3, 1, 3, 1, 4, 3, 1, 0, 0, 0, 2, 4, 1, 3, 3, 3, 0, 1, 0, 2, 4, 2, 4, 3, 0, 0, 4, 4, 1, 3, 0, 4, 2, 3, 2, 4, 0, 2, 4, 4, 0, 3, 2, 0, 1, 1, 2, 4, 2, 2, 1, 1, 4, 2, 3, 1, 2, 2, 4, 2, 2, 2, 4, 3, 2, 4, 3, 3, 3, 4, 0, 3, 2, 0, 3, 4, 4, 1, 4, 4, 0, 4, 0, 2, 3, 2, 1, 1, 4, 1, 1, 3, 1, 4, 1, 2, 2, 0, 0, 0, 4, 1, 4, 1, 3, 2, 1, 3, 4, 3, 1, 3, 0, 3, 3, 0, 0, 4, 4, 3, 3, 2, 4, 1, 2, 1, 3, 4, 4, 1, 4, 2, 0, 4, 0, 4, 2, 2, 2, 2, 4, 1, 4, 4, 3, 2, 3, 2, 3, 0, 3, 2, 1, 3, 4, 0, 0, 0, 3, 0, 1, 0, 2, 2, 4, 3, 3, 0, 3, 3, 1, 2, 2, 0, 1, 2, 0, 3, 3, 3, 2, 4, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 1, 3, 4, 4, 3, 1, 3, 0, 0, 0, 4, 3, 2, 4, 1, 2, 0, 0] pubkeycol432 = [3, 1, 4, 1, 2, 1, 4, 2, 2, 2, 1, 0, 0, 0, 2, 4, 1, 3, 1, 4, 0, 3, 4, 0, 4, 4, 2, 3, 2, 3, 2, 0, 0, 3, 0, 3, 0, 4, 0, 1, 1, 3, 0, 4, 0, 1, 2, 1, 4, 0, 4, 3, 4, 2, 0, 2, 3, 4, 2, 2, 1, 1, 0, 0, 1, 4, 1, 4, 1, 4, 0, 0, 0, 1, 0, 4, 4, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 2, 0, 3, 3, 1, 3, 4, 3, 0, 1, 3, 1, 2, 4, 1, 1, 3, 4, 2, 2, 3, 2, 1, 2, 0, 2, 0, 4, 4, 3, 4, 4, 1, 2, 2, 0, 2, 2, 2, 1, 2, 4, 0, 2, 3, 4, 1, 0, 0, 2, 4, 1, 3, 3, 4, 3, 0, 4, 4, 3, 3, 0, 3, 4, 0, 1, 1, 4, 4, 4, 3, 3, 1, 2, 1, 3, 3, 0, 0, 0, 2, 4, 2, 1, 4, 2, 3, 2, 3, 2, 4, 2, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 4, 4, 4, 2, 4, 0, 4, 1, 1, 2, 4, 0, 4, 4, 3, 2, 0, 3, 1, 3, 0, 1, 4, 4, 2, 4, 1, 3, 0, 0, 0, 3, 1, 3, 3, 1, 3, 0, 4, 3, 1, 0, 0, 4, 3, 3, 3, 2, 0, 4, 3, 4, 1, 4, 4, 4, 3, 4, 0, 3, 1, 1, 4, 1, 2, 1, 3, 1, 1, 2, 0, 0, 1, 1, 4, 4, 0, 1, 2, 1, 3, 4, 3, 3, 1, 1, 2, 4, 3, 2, 3, 1, 0, 0, 1, 0, 1, 2, 2, 3, 0, 4, 0, 0, 1, 4, 3, 2, 3, 4, 1, 4, 3, 1, 0, 2, 3, 1, 3, 2, 3, 3, 4, 4, 0, 3, 1, 2, 1, 0, 0] pubkeycol433 = [3, 1, 2, 4, 1, 4, 1, 1, 0, 0, 2, 4, 3, 4, 0, 3, 2, 1, 1, 2, 2, 1, 3, 2, 1, 4, 0, 1, 1, 2, 3, 0, 0, 3, 2, 3, 3, 1, 1, 3, 1, 4, 2, 4, 1, 1, 3, 4, 0, 2, 0, 4, 0, 4, 2, 1, 3, 2, 1, 4, 2, 0, 0, 4, 4, 2, 3, 3, 3, 3, 3, 4, 0, 1, 0, 4, 2, 2, 2, 4, 0, 1, 1, 1, 3, 1, 4, 3, 2, 1, 0, 4, 1, 3, 1, 4, 0, 0, 2, 0, 2, 4, 2, 3, 0, 2, 0, 1, 3, 4, 3, 3, 0, 4, 0, 3, 4, 3, 4, 2, 3, 4, 3, 2, 0, 4, 1, 2, 0, 0, 4, 0, 4, 1, 0, 3, 4, 1, 3, 1, 0, 2, 3, 0, 2, 0, 2, 0, 0, 4, 2, 4, 4, 4, 0, 2, 2, 4, 3, 2, 4, 0, 0, 0, 4, 2, 1, 3, 4, 3, 1, 0, 1, 1, 4, 2, 1, 0, 0, 3, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 3, 0, 2, 1, 0, 2, 1, 4, 1, 0, 3, 1, 3, 1, 3, 1, 2, 2, 2, 2, 0, 4, 1, 1, 2, 2, 0, 0, 3, 2, 3, 0, 3, 4, 4, 2, 3, 0, 3, 3, 0, 1, 3, 3, 4, 2, 1, 2, 3, 1, 4, 4, 4, 2, 3, 3, 0, 2, 0, 0, 3, 2, 2, 4, 2, 2, 4, 1, 2, 0, 4, 4, 2, 3, 2, 3, 1, 4, 1, 3, 2, 1, 2, 2, 1, 3, 1, 4, 1, 0, 0, 2, 1, 1, 4, 4, 2, 1, 0, 2, 1, 3, 0, 1, 2, 1, 1, 3, 3, 3, 0, 0, 0, 3, 4, 4, 2, 2, 4, 2, 2, 1, 2, 3, 3, 4, 1, 0, 1] pubkeycol434 = [3, 2, 3, 1, 2, 0, 4, 0, 2, 4, 0, 4, 2, 0, 4, 2, 0, 3, 2, 3, 4, 3, 0, 4, 1, 2, 4, 2, 3, 4, 4, 0, 1, 4, 0, 0, 3, 0, 0, 3, 2, 0, 1, 3, 3, 1, 2, 3, 1, 4, 1, 4, 4, 1, 3, 2, 2, 4, 1, 2, 0, 0, 0, 3, 3, 2, 4, 4, 2, 0, 3, 2, 1, 0, 3, 3, 1, 1, 0, 0, 4, 2, 4, 4, 0, 4, 3, 3, 2, 4, 3, 4, 1, 2, 0, 3, 1, 0, 3, 3, 1, 0, 0, 3, 3, 4, 0, 3, 3, 4, 4, 4, 2, 1, 0, 3, 3, 0, 2, 1, 2, 2, 0, 3, 0, 4, 4, 0, 4, 4, 1, 2, 0, 0, 4, 4, 4, 1, 3, 3, 4, 4, 2, 4, 2, 4, 4, 1, 3, 4, 0, 2, 4, 3, 0, 1, 4, 3, 2, 2, 2, 0, 2, 0, 4, 0, 0, 3, 1, 2, 1, 3, 2, 2, 3, 3, 1, 0, 3, 2, 2, 2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 1, 3, 2, 1, 1, 2, 1, 4, 2, 3, 1, 4, 2, 2, 0, 1, 3, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 4, 3, 3, 1, 4, 0, 0, 1, 3, 2, 2, 0, 1, 0, 3, 2, 2, 0, 1, 1, 0, 3, 3, 4, 0, 1, 1, 3, 2, 3, 3, 0, 2, 1, 1, 0, 0, 3, 4, 4, 2, 2, 1, 2, 2, 1, 2, 3, 4, 0, 3, 4, 3, 4, 4, 1, 4, 2, 0, 4, 1, 2, 4, 0, 0, 0, 4, 3, 2, 2, 1, 3, 4, 4, 2, 2, 4, 4, 1, 2, 0, 1, 1, 1, 4, 2, 4, 3, 3, 2, 1, 3, 0, 3, 4, 1, 2, 0, 0, 2, 4, 2] pubkeycol435 = [2, 0, 2, 0, 3, 1, 4, 4, 1, 1, 0, 3, 1, 2, 2, 4, 0, 0, 3, 3, 3, 3, 0, 3, 0, 4, 0, 1, 1, 0, 1, 4, 0, 4, 3, 0, 3, 4, 3, 3, 4, 1, 3, 4, 3, 2, 2, 4, 0, 1, 4, 3, 4, 2, 0, 3, 3, 4, 0, 0, 2, 1, 0, 0, 4, 1, 1, 1, 4, 0, 0, 3, 3, 3, 2, 4, 4, 0, 1, 3, 2, 2, 2, 2, 3, 4, 3, 1, 0, 3, 0, 3, 0, 0, 0, 3, 0, 4, 2, 4, 2, 0, 3, 3, 3, 3, 0, 3, 2, 4, 1, 1, 3, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 4, 0, 2, 2, 4, 1, 2, 0, 4, 3, 0, 3, 3, 2, 2, 2, 2, 2, 4, 1, 2, 1, 2, 2, 3, 1, 1, 0, 4, 4, 2, 3, 0, 0, 4, 4, 2, 3, 1, 4, 1, 0, 2, 3, 0, 4, 2, 1, 0, 2, 1, 0, 3, 2, 0, 0, 4, 1, 4, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 3, 0, 3, 3, 1, 2, 4, 4, 4, 3, 1, 4, 1, 4, 1, 1, 2, 2, 4, 1, 0, 1, 3, 1, 3, 1, 4, 0, 3, 3, 4, 1, 1, 4, 1, 1, 0, 0, 3, 1, 1, 0, 3, 0, 4, 1, 1, 2, 1, 3, 4, 4, 3, 1, 0, 0, 1, 3, 2, 0, 2, 4, 4, 1, 1, 3, 1, 0, 0, 1, 0, 0, 4, 0, 1, 1, 0, 4, 0, 0, 2, 2, 3, 0, 2, 1, 4, 2, 4, 0, 1, 2, 1, 1, 2, 4, 3, 3, 1, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 2, 4, 0, 0, 2, 3, 1, 2, 3, 1, 0, 0, 4] pubkeycol436 = [3, 0, 1, 0, 1, 0, 3, 1, 1, 4, 2, 2, 2, 4, 3, 4, 2, 4, 3, 2, 3, 2, 4, 1, 1, 4, 1, 2, 1, 2, 2, 1, 1, 3, 1, 4, 2, 0, 4, 4, 2, 3, 4, 2, 0, 2, 2, 2, 0, 4, 3, 3, 0, 3, 3, 0, 1, 2, 3, 4, 1, 0, 0, 0, 1, 1, 3, 2, 0, 2, 2, 2, 4, 1, 4, 1, 4, 0, 4, 2, 4, 4, 0, 0, 0, 4, 2, 1, 0, 4, 0, 4, 3, 3, 2, 3, 0, 2, 0, 2, 3, 4, 4, 4, 2, 3, 2, 4, 4, 1, 1, 1, 4, 0, 4, 4, 4, 0, 4, 3, 2, 1, 1, 2, 0, 0, 4, 3, 3, 1, 0, 1, 4, 3, 0, 4, 1, 2, 2, 2, 3, 0, 2, 4, 4, 1, 2, 1, 0, 1, 0, 0, 4, 3, 1, 1, 1, 2, 1, 4, 0, 2, 3, 0, 0, 1, 3, 0, 4, 4, 0, 4, 2, 2, 0, 2, 1, 0, 2, 0, 4, 4, 3, 1, 4, 1, 3, 1, 1, 3, 2, 2, 4, 2, 3, 0, 0, 0, 3, 4, 4, 2, 0, 3, 4, 0, 1, 0, 2, 0, 0, 3, 3, 0, 3, 4, 3, 1, 4, 1, 0, 0, 3, 4, 2, 1, 4, 0, 2, 4, 1, 2, 2, 3, 1, 1, 4, 0, 1, 4, 3, 2, 3, 1, 0, 2, 3, 3, 3, 4, 4, 1, 2, 1, 3, 3, 4, 2, 3, 0, 0, 0, 4, 2, 1, 2, 3, 1, 4, 3, 4, 4, 3, 3, 2, 2, 1, 4, 1, 2, 2, 0, 2, 3, 3, 3, 0, 3, 3, 2, 1, 3, 4, 3, 3, 3, 0, 2, 3, 2, 0, 0, 3, 1, 4, 4, 3, 3, 4, 3, 0, 2, 2, 2, 4, 2, 1, 1, 0, 2] pubkeycol437 = [0, 0, 4, 0, 0, 4, 3, 4, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 3, 4, 3, 0, 0, 0, 3, 3, 1, 2, 2, 1, 4, 1, 0, 2, 3, 2, 1, 2, 2, 0, 3, 1, 3, 2, 4, 3, 3, 1, 2, 0, 1, 2, 3, 2, 0, 1, 4, 4, 3, 3, 1, 4, 4, 2, 4, 0, 1, 2, 4, 2, 0, 3, 3, 1, 2, 2, 1, 0, 2, 2, 3, 0, 4, 4, 0, 4, 0, 2, 1, 4, 3, 1, 2, 3, 0, 3, 3, 1, 1, 4, 4, 1, 1, 2, 3, 0, 2, 4, 2, 3, 2, 3, 1, 3, 1, 0, 2, 3, 2, 0, 3, 1, 3, 2, 2, 4, 2, 4, 4, 4, 4, 2, 4, 2, 1, 1, 0, 0, 0, 1, 4, 1, 0, 0, 2, 0, 0, 2, 4, 0, 1, 0, 2, 0, 1, 4, 1, 0, 1, 1, 0, 3, 0, 2, 0, 1, 0, 0, 0, 2, 3, 4, 2, 3, 3, 0, 1, 4, 3, 0, 0, 3, 1, 4, 3, 0, 2, 3, 3, 3, 1, 1, 3, 1, 2, 2, 3, 2, 3, 3, 3, 0, 4, 1, 2, 3, 0, 3, 4, 2, 0, 4, 4, 4, 3, 4, 0, 1, 2, 0, 2, 2, 0, 2, 4, 4, 3, 4, 4, 1, 3, 1, 2, 3, 4, 4, 0, 2, 2, 2, 3, 2, 1, 2, 3, 0, 2, 0, 2, 4, 1, 4, 0, 0, 0, 4, 4, 1, 1, 0, 2, 3, 2, 4, 4, 1, 1, 4, 3, 4, 4, 4, 2, 3, 0, 4, 1, 2, 1, 3, 0, 1, 4, 0, 4, 3, 3, 0, 3, 1, 1, 4, 0, 4, 4, 3, 4, 1, 2, 3, 1, 2, 4, 4, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 4, 0, 4, 0] pubkeycol438 = [2, 4, 3, 4, 0, 4, 1, 1, 2, 1, 3, 4, 4, 0, 3, 0, 3, 1, 3, 3, 4, 2, 1, 3, 1, 4, 4, 3, 3, 2, 4, 0, 2, 4, 2, 4, 2, 0, 4, 2, 1, 1, 3, 3, 2, 4, 3, 3, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 4, 3, 2, 0, 2, 4, 4, 1, 0, 4, 1, 0, 3, 3, 0, 3, 4, 4, 0, 0, 1, 0, 3, 3, 3, 1, 1, 1, 4, 1, 3, 4, 1, 4, 0, 4, 4, 2, 0, 0, 3, 3, 2, 0, 1, 3, 4, 0, 1, 3, 4, 4, 2, 0, 1, 1, 1, 2, 2, 4, 3, 4, 0, 4, 3, 4, 2, 0, 3, 0, 2, 4, 1, 2, 1, 1, 1, 3, 0, 0, 2, 4, 4, 0, 2, 3, 0, 4, 4, 1, 2, 0, 3, 3, 2, 2, 3, 2, 3, 2, 1, 4, 3, 0, 3, 0, 4, 0, 3, 2, 2, 2, 1, 2, 1, 3, 3, 4, 2, 0, 0, 0, 2, 3, 0, 0, 4, 0, 2, 3, 0, 2, 2, 3, 3, 2, 2, 2, 0, 4, 3, 0, 0, 0, 4, 0, 3, 0, 0, 2, 2, 3, 4, 2, 4, 3, 4, 2, 0, 2, 2, 1, 1, 4, 0, 4, 4, 3, 0, 2, 3, 3, 1, 1, 0, 2, 2, 0, 2, 3, 0, 3, 2, 1, 0, 3, 3, 4, 1, 3, 0, 3, 4, 1, 0, 0, 4, 1, 4, 1, 1, 2, 0, 4, 3, 3, 4, 0, 0, 4, 1, 3, 1, 4, 1, 2, 3, 1, 2, 1, 3, 0, 4, 1, 2, 0, 4, 0, 0, 1, 3, 3, 2, 0, 4, 3, 2, 0, 0, 0, 2, 3, 0, 0, 0, 2, 2, 4, 2, 4, 4, 3, 0, 4, 4, 4, 1, 0, 2, 1, 3, 0] pubkeycol439 = [2, 1, 0, 2, 4, 2, 2, 2, 3, 3, 3, 3, 2, 0, 3, 3, 3, 1, 4, 4, 3, 3, 3, 2, 2, 0, 0, 0, 3, 2, 0, 2, 4, 2, 3, 4, 0, 2, 1, 3, 0, 3, 4, 0, 3, 0, 0, 3, 0, 1, 4, 4, 3, 0, 2, 4, 2, 3, 3, 1, 0, 3, 4, 3, 2, 0, 0, 4, 0, 0, 0, 2, 1, 2, 0, 3, 0, 1, 2, 1, 0, 0, 2, 0, 2, 4, 1, 0, 1, 3, 1, 0, 2, 4, 4, 0, 1, 2, 3, 3, 1, 3, 2, 4, 4, 3, 0, 3, 3, 1, 3, 0, 2, 0, 4, 0, 1, 3, 0, 2, 1, 2, 0, 1, 3, 3, 4, 4, 3, 0, 2, 3, 2, 0, 4, 1, 4, 0, 1, 2, 2, 1, 1, 4, 2, 2, 2, 0, 2, 3, 4, 3, 2, 3, 1, 2, 0, 1, 3, 4, 1, 1, 1, 0, 2, 4, 0, 2, 3, 0, 0, 2, 3, 2, 2, 1, 0, 1, 1, 0, 0, 3, 2, 0, 4, 2, 0, 0, 4, 4, 0, 3, 2, 2, 2, 2, 0, 4, 0, 4, 0, 3, 3, 4, 0, 3, 2, 2, 4, 4, 4, 3, 2, 0, 1, 3, 0, 4, 0, 1, 4, 3, 1, 2, 2, 0, 0, 0, 3, 2, 3, 4, 2, 1, 0, 1, 3, 1, 0, 1, 0, 2, 4, 0, 2, 3, 4, 0, 3, 2, 3, 0, 4, 3, 3, 3, 3, 4, 3, 0, 0, 2, 3, 0, 3, 1, 4, 3, 2, 2, 2, 0, 1, 4, 4, 2, 2, 0, 1, 3, 3, 4, 0, 2, 4, 2, 2, 4, 4, 1, 2, 3, 3, 1, 0, 3, 0, 2, 3, 3, 1, 1, 0, 3, 3, 1, 2, 3, 3, 2, 2, 4, 2, 2, 4, 0, 1, 3, 3, 0] pubkeycol440 = [0, 0, 4, 0, 2, 0, 4, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 4, 2, 4, 4, 3, 3, 1, 1, 0, 2, 1, 2, 2, 3, 3, 4, 3, 0, 4, 3, 0, 0, 3, 3, 2, 2, 2, 1, 4, 0, 2, 3, 2, 3, 3, 0, 0, 2, 2, 3, 0, 3, 4, 2, 3, 4, 1, 2, 3, 4, 2, 2, 2, 1, 3, 2, 2, 1, 0, 1, 0, 0, 4, 3, 0, 4, 4, 2, 3, 2, 4, 2, 0, 4, 4, 3, 3, 1, 0, 3, 0, 2, 1, 2, 4, 2, 4, 4, 4, 2, 1, 3, 3, 2, 1, 1, 1, 4, 0, 4, 0, 3, 4, 1, 3, 4, 4, 0, 4, 1, 4, 1, 2, 3, 4, 3, 1, 3, 0, 3, 1, 3, 1, 2, 2, 3, 0, 2, 3, 3, 0, 2, 0, 3, 4, 1, 1, 0, 0, 2, 1, 3, 3, 4, 2, 3, 2, 4, 1, 2, 0, 0, 1, 1, 2, 4, 3, 1, 2, 4, 0, 4, 1, 0, 4, 3, 3, 0, 2, 3, 3, 4, 1, 2, 1, 4, 0, 4, 4, 4, 2, 0, 4, 0, 0, 4, 2, 3, 2, 0, 0, 0, 3, 0, 2, 0, 4, 0, 1, 2, 1, 3, 3, 3, 3, 0, 2, 1, 1, 1, 4, 0, 4, 4, 1, 2, 2, 2, 1, 2, 2, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 2, 0, 4, 0, 4, 4, 0, 2, 4, 2, 0, 4, 0, 4, 4, 4, 2, 1, 3, 3, 2, 1, 2, 2, 2, 4, 4, 1, 2, 3, 3, 2, 1, 3, 1, 4, 4, 0, 3, 1, 1, 3, 0, 3, 3, 3, 4, 0, 3, 4, 3, 3, 0, 1, 0, 4, 2, 0, 2, 4, 1, 2, 0, 1, 1, 4, 0, 2, 3, 2, 2] pubkeycol441 = [0, 3, 1, 3, 4, 1, 2, 0, 0, 2, 1, 1, 3, 3, 1, 4, 3, 0, 3, 0, 0, 3, 0, 1, 3, 2, 0, 1, 3, 3, 4, 4, 3, 4, 0, 2, 1, 2, 0, 3, 1, 1, 4, 3, 1, 3, 1, 2, 4, 4, 1, 4, 0, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 4, 0, 3, 0, 3, 4, 2, 3, 3, 3, 2, 4, 4, 0, 4, 3, 0, 4, 0, 0, 3, 4, 1, 4, 1, 2, 3, 1, 4, 4, 0, 3, 0, 2, 0, 2, 0, 3, 2, 0, 1, 1, 1, 2, 4, 3, 4, 4, 0, 3, 0, 4, 1, 2, 0, 2, 1, 3, 4, 1, 2, 1, 3, 0, 4, 1, 1, 4, 0, 1, 2, 1, 4, 0, 2, 1, 1, 0, 2, 1, 3, 2, 0, 4, 1, 1, 3, 4, 2, 1, 3, 4, 2, 2, 4, 2, 1, 1, 4, 0, 1, 4, 3, 1, 2, 4, 3, 4, 0, 3, 0, 3, 2, 0, 3, 0, 2, 0, 3, 3, 3, 0, 1, 3, 3, 1, 2, 4, 0, 1, 2, 1, 3, 0, 4, 0, 0, 0, 4, 0, 2, 1, 2, 0, 0, 3, 3, 3, 0, 4, 1, 1, 2, 2, 4, 3, 0, 4, 3, 1, 0, 3, 4, 1, 1, 0, 4, 4, 4, 2, 2, 4, 4, 3, 4, 3, 1, 3, 4, 4, 1, 4, 2, 3, 3, 3, 0, 2, 4, 1, 4, 2, 4, 3, 2, 4, 1, 4, 1, 3, 1, 1, 2, 1, 4, 2, 1, 4, 3, 3, 2, 4, 0, 3, 0, 1, 0, 4, 3, 3, 1, 4, 1, 4, 3, 1, 1, 3, 4, 0, 3, 0, 4, 3, 4, 4, 4, 2, 4, 0, 1, 0, 0, 2, 1, 3, 0, 3, 2, 4, 0, 0, 2, 3, 1, 2, 0] pubkeycol442 = [0, 4, 3, 2, 2, 1, 3, 1, 1, 1, 3, 0, 4, 3, 4, 3, 3, 0, 3, 4, 4, 3, 4, 2, 3, 3, 2, 3, 3, 0, 0, 3, 0, 0, 4, 1, 0, 2, 4, 4, 0, 3, 2, 3, 2, 3, 4, 4, 1, 2, 4, 3, 3, 1, 1, 1, 2, 1, 4, 4, 1, 4, 1, 1, 4, 2, 0, 3, 1, 1, 3, 2, 4, 0, 4, 1, 0, 4, 3, 3, 3, 4, 3, 3, 2, 3, 1, 0, 2, 3, 4, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 4, 3, 2, 0, 1, 4, 4, 0, 3, 3, 3, 3, 0, 1, 4, 3, 0, 3, 1, 2, 4, 3, 2, 0, 2, 4, 0, 1, 3, 4, 4, 1, 2, 1, 3, 1, 1, 3, 2, 0, 4, 1, 1, 3, 0, 2, 4, 3, 4, 3, 1, 2, 3, 4, 0, 0, 4, 3, 0, 3, 4, 1, 2, 1, 2, 2, 3, 1, 4, 4, 0, 0, 2, 1, 2, 2, 1, 1, 0, 3, 2, 1, 1, 1, 4, 0, 1, 3, 0, 0, 0, 3, 2, 3, 0, 4, 1, 2, 3, 4, 1, 0, 0, 2, 3, 3, 0, 4, 0, 2, 0, 2, 0, 4, 3, 2, 0, 2, 0, 3, 4, 0, 2, 2, 2, 4, 3, 1, 4, 0, 0, 2, 2, 0, 2, 1, 1, 4, 1, 3, 3, 1, 3, 4, 3, 2, 0, 0, 2, 4, 1, 3, 0, 2, 2, 4, 3, 2, 2, 0, 1, 0, 2, 4, 3, 3, 0, 4, 2, 1, 1, 4, 0, 1, 0, 2, 0, 3, 1, 0, 2, 4, 0, 2, 0, 4, 3, 2, 4, 0, 2, 1, 4, 1, 0, 3, 0, 3, 2, 0, 3, 4, 0, 2, 3, 3, 1, 3, 4, 4, 1, 0, 3, 3, 4, 2, 1, 4, 3] pubkeycol443 = [0, 4, 0, 3, 4, 4, 3, 3, 3, 2, 4, 3, 0, 4, 0, 1, 4, 3, 1, 1, 4, 4, 0, 3, 4, 1, 0, 1, 3, 3, 3, 1, 4, 0, 4, 1, 4, 0, 1, 4, 0, 3, 4, 4, 0, 3, 3, 0, 3, 4, 1, 0, 3, 4, 0, 3, 3, 0, 3, 4, 3, 2, 3, 0, 1, 3, 0, 3, 3, 1, 1, 1, 3, 0, 4, 2, 1, 1, 4, 3, 4, 2, 2, 0, 0, 1, 2, 1, 0, 0, 3, 4, 3, 3, 2, 3, 4, 1, 1, 4, 1, 1, 0, 2, 2, 3, 2, 3, 3, 4, 3, 2, 4, 4, 0, 3, 0, 3, 0, 4, 0, 2, 2, 3, 0, 2, 4, 1, 3, 2, 4, 0, 1, 0, 3, 2, 2, 4, 3, 3, 2, 2, 3, 0, 1, 0, 0, 0, 2, 4, 2, 0, 0, 3, 2, 1, 0, 4, 4, 1, 3, 3, 1, 4, 3, 0, 2, 3, 3, 3, 1, 4, 4, 3, 1, 2, 2, 2, 0, 4, 3, 3, 0, 1, 1, 4, 2, 3, 2, 3, 1, 1, 4, 0, 4, 3, 2, 1, 3, 1, 1, 4, 1, 0, 1, 2, 2, 3, 0, 0, 2, 4, 2, 3, 4, 1, 2, 2, 4, 4, 2, 3, 2, 2, 0, 1, 2, 3, 2, 2, 1, 3, 4, 2, 4, 0, 3, 4, 2, 0, 3, 3, 4, 2, 1, 0, 3, 2, 4, 2, 4, 0, 2, 1, 3, 4, 3, 3, 0, 2, 3, 1, 1, 3, 1, 3, 0, 4, 4, 0, 4, 1, 1, 3, 4, 0, 3, 4, 3, 0, 2, 4, 0, 4, 1, 0, 2, 4, 0, 2, 3, 2, 3, 3, 2, 1, 2, 0, 3, 1, 0, 3, 0, 4, 0, 3, 0, 0, 1, 1, 2, 3, 4, 1, 1, 1, 1, 1, 0, 4] pubkeycol444 = [4, 2, 1, 3, 3, 2, 3, 1, 4, 4, 2, 4, 4, 3, 1, 3, 2, 0, 4, 2, 2, 2, 0, 2, 4, 0, 0, 4, 1, 1, 1, 2, 3, 4, 2, 4, 0, 3, 1, 1, 3, 1, 1, 2, 3, 3, 3, 2, 4, 4, 0, 4, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 3, 1, 1, 0, 2, 3, 0, 4, 3, 4, 3, 4, 0, 2, 4, 1, 0, 4, 3, 1, 3, 4, 1, 4, 2, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 4, 2, 2, 0, 3, 4, 3, 3, 4, 2, 1, 3, 0, 4, 2, 3, 1, 0, 4, 0, 2, 0, 0, 4, 2, 4, 2, 2, 0, 0, 0, 4, 0, 3, 0, 4, 4, 2, 4, 3, 3, 1, 3, 0, 0, 4, 0, 2, 2, 4, 0, 2, 1, 2, 4, 1, 0, 0, 3, 4, 0, 1, 1, 1, 3, 4, 0, 2, 1, 0, 2, 3, 3, 0, 4, 2, 2, 0, 3, 2, 1, 3, 0, 4, 0, 4, 0, 4, 2, 2, 2, 1, 3, 0, 1, 2, 3, 3, 3, 0, 3, 3, 2, 3, 2, 3, 3, 0, 3, 2, 3, 1, 0, 0, 1, 3, 0, 1, 0, 3, 4, 0, 4, 0, 2, 0, 2, 4, 2, 2, 0, 4, 1, 0, 4, 2, 3, 2, 2, 2, 4, 1, 2, 3, 2, 4, 4, 0, 0, 3, 1, 3, 4, 2, 4, 4, 0, 2, 0, 3, 4, 1, 1, 0, 0, 3, 3, 3, 3, 3, 0, 1, 1, 0, 2, 1, 4, 0, 0, 3, 3, 4, 0, 1, 0, 0, 0, 2, 1, 2, 1, 3, 1, 2, 2, 4, 3, 1, 0, 4, 3, 0, 3, 0, 4, 4, 3, 1, 1, 2, 3, 2, 1, 2, 2, 2, 2, 4, 0, 3, 0] pubkeycol445 = [3, 2, 3, 0, 3, 0, 2, 2, 0, 3, 3, 4, 0, 3, 2, 0, 0, 1, 0, 4, 2, 0, 4, 1, 1, 1, 4, 2, 1, 4, 4, 0, 3, 0, 0, 3, 4, 0, 0, 4, 1, 2, 3, 2, 1, 2, 1, 2, 0, 2, 3, 2, 4, 0, 2, 3, 1, 2, 3, 2, 1, 3, 4, 3, 4, 0, 2, 3, 3, 1, 1, 4, 0, 0, 3, 3, 1, 1, 0, 0, 4, 0, 2, 4, 4, 4, 0, 2, 2, 0, 3, 2, 4, 1, 2, 2, 3, 1, 0, 0, 2, 4, 0, 2, 3, 3, 1, 4, 2, 2, 1, 1, 3, 1, 4, 4, 0, 4, 4, 1, 4, 3, 1, 1, 0, 1, 4, 3, 2, 1, 1, 4, 4, 1, 0, 2, 0, 2, 3, 0, 3, 3, 2, 1, 2, 1, 1, 0, 3, 1, 1, 1, 4, 2, 1, 0, 2, 3, 1, 1, 1, 1, 1, 4, 3, 0, 4, 1, 0, 4, 0, 4, 1, 3, 3, 4, 0, 4, 1, 3, 1, 4, 2, 4, 0, 1, 1, 0, 4, 3, 2, 4, 1, 1, 4, 2, 1, 1, 1, 0, 2, 3, 3, 2, 2, 3, 3, 0, 2, 3, 3, 0, 1, 0, 4, 3, 4, 0, 2, 4, 2, 2, 0, 3, 3, 0, 1, 4, 0, 3, 3, 2, 3, 2, 1, 0, 2, 2, 4, 4, 0, 4, 1, 1, 4, 3, 1, 4, 0, 1, 1, 2, 4, 3, 1, 3, 0, 4, 2, 4, 0, 4, 0, 2, 3, 0, 0, 3, 1, 2, 0, 3, 4, 3, 4, 2, 0, 4, 2, 1, 0, 1, 1, 4, 3, 4, 4, 4, 2, 3, 4, 1, 0, 3, 4, 1, 1, 3, 4, 1, 2, 4, 4, 2, 0, 4, 3, 1, 0, 0, 1, 4, 0, 4, 2, 3, 2, 1, 2, 4] pubkeycol446 = [0, 3, 0, 1, 3, 1, 2, 3, 2, 1, 2, 4, 0, 4, 0, 0, 2, 3, 2, 4, 4, 2, 1, 1, 3, 0, 0, 0, 1, 4, 1, 3, 0, 3, 2, 3, 0, 1, 0, 1, 4, 1, 2, 3, 1, 1, 2, 1, 1, 3, 0, 1, 4, 4, 3, 0, 1, 3, 0, 2, 0, 4, 0, 1, 2, 4, 0, 2, 2, 0, 4, 2, 1, 0, 3, 4, 2, 2, 1, 0, 3, 2, 0, 2, 3, 3, 1, 4, 1, 4, 4, 2, 4, 2, 4, 2, 3, 1, 3, 2, 4, 4, 0, 1, 1, 3, 0, 1, 2, 1, 3, 3, 1, 3, 4, 0, 3, 2, 4, 0, 1, 2, 4, 1, 1, 0, 2, 3, 3, 1, 0, 0, 0, 4, 2, 4, 1, 1, 0, 2, 2, 4, 1, 0, 2, 4, 2, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 0, 3, 3, 2, 0, 1, 4, 1, 2, 0, 0, 4, 2, 1, 0, 1, 3, 1, 0, 0, 1, 1, 1, 3, 3, 0, 2, 4, 2, 0, 1, 4, 2, 4, 4, 2, 3, 0, 2, 3, 1, 1, 0, 4, 2, 0, 0, 2, 4, 0, 3, 4, 4, 1, 3, 1, 2, 4, 0, 1, 1, 0, 1, 4, 4, 4, 2, 4, 1, 4, 3, 0, 1, 1, 4, 3, 3, 2, 0, 2, 3, 4, 2, 3, 3, 2, 0, 1, 2, 2, 3, 3, 1, 4, 0, 4, 0, 4, 3, 2, 0, 4, 3, 0, 3, 4, 2, 1, 1, 0, 4, 4, 0, 3, 1, 4, 3, 1, 1, 4, 0, 3, 3, 4, 2, 0, 4, 0, 0, 1, 4, 0, 2, 0, 0, 0, 4, 3, 1, 4, 0, 3, 2, 4, 3, 2, 4, 1, 1, 0, 0, 2, 0, 4, 3, 3, 1, 3, 0, 3, 1, 0, 2] pubkeycol447 = [2, 0, 3, 3, 1, 4, 0, 2, 2, 0, 1, 1, 3, 4, 2, 1, 4, 3, 0, 1, 2, 4, 4, 2, 3, 2, 2, 1, 3, 1, 2, 4, 2, 0, 4, 4, 2, 1, 4, 0, 0, 0, 1, 3, 2, 1, 4, 0, 3, 2, 0, 0, 4, 0, 4, 2, 2, 2, 2, 3, 2, 0, 1, 4, 1, 1, 4, 0, 1, 2, 0, 4, 2, 0, 4, 0, 0, 1, 0, 4, 2, 4, 4, 1, 2, 0, 0, 4, 2, 1, 3, 3, 2, 2, 4, 1, 4, 1, 2, 0, 1, 2, 2, 0, 4, 0, 2, 3, 2, 2, 3, 1, 3, 3, 0, 3, 4, 2, 4, 0, 0, 1, 1, 3, 0, 2, 3, 1, 1, 4, 0, 2, 3, 4, 2, 2, 2, 2, 4, 2, 2, 1, 3, 2, 4, 2, 4, 3, 0, 2, 3, 2, 3, 2, 0, 4, 1, 0, 0, 1, 3, 2, 4, 1, 1, 1, 4, 3, 2, 4, 1, 4, 1, 1, 4, 1, 4, 3, 0, 1, 0, 4, 0, 0, 1, 2, 0, 4, 4, 4, 2, 4, 2, 2, 2, 3, 4, 4, 3, 0, 3, 2, 4, 4, 2, 1, 1, 2, 0, 2, 0, 3, 3, 0, 4, 0, 4, 2, 3, 4, 4, 1, 4, 2, 2, 2, 2, 4, 4, 3, 4, 0, 0, 3, 4, 3, 4, 0, 2, 4, 1, 1, 1, 0, 4, 4, 2, 4, 4, 4, 2, 4, 0, 1, 3, 4, 2, 1, 4, 4, 3, 1, 3, 2, 3, 1, 2, 4, 4, 0, 0, 4, 2, 0, 1, 2, 1, 1, 0, 0, 4, 3, 3, 1, 2, 4, 3, 3, 0, 0, 1, 1, 0, 4, 3, 2, 3, 0, 4, 0, 4, 4, 3, 0, 0, 0, 2, 1, 4, 1, 2, 0, 1, 1, 2, 2, 1, 2, 4, 3] pubkeycol448 = [1, 2, 4, 2, 2, 1, 1, 2, 4, 0, 3, 0, 3, 4, 0, 4, 3, 1, 2, 4, 1, 4, 4, 2, 2, 2, 0, 2, 4, 0, 2, 4, 3, 4, 0, 2, 0, 3, 4, 1, 2, 1, 0, 4, 4, 0, 4, 2, 3, 1, 2, 2, 2, 1, 4, 1, 1, 4, 0, 2, 1, 0, 1, 4, 1, 0, 3, 0, 1, 3, 2, 4, 0, 2, 3, 2, 2, 0, 0, 0, 4, 0, 1, 2, 4, 2, 0, 3, 1, 2, 2, 2, 3, 3, 1, 0, 3, 2, 2, 0, 1, 3, 0, 1, 4, 2, 0, 2, 4, 1, 2, 4, 3, 4, 1, 4, 4, 1, 0, 2, 1, 3, 4, 4, 3, 0, 4, 2, 4, 1, 0, 1, 3, 1, 0, 3, 4, 1, 2, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 4, 3, 2, 0, 4, 1, 1, 4, 3, 2, 0, 4, 1, 1, 2, 4, 0, 4, 3, 4, 3, 0, 3, 2, 0, 2, 0, 3, 1, 0, 0, 1, 3, 0, 3, 1, 0, 1, 1, 2, 1, 3, 2, 3, 3, 3, 3, 1, 3, 3, 3, 1, 1, 2, 0, 1, 4, 0, 4, 0, 0, 1, 0, 3, 2, 3, 1, 2, 1, 0, 0, 0, 3, 3, 1, 3, 2, 4, 2, 0, 2, 4, 0, 3, 2, 2, 1, 1, 3, 2, 0, 4, 1, 0, 1, 4, 3, 1, 4, 0, 4, 3, 1, 4, 1, 4, 4, 2, 1, 2, 4, 3, 0, 0, 1, 2, 1, 3, 3, 4, 0, 4, 2, 3, 3, 3, 1, 1, 2, 4, 3, 4, 1, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 0, 1, 4, 2, 1, 3, 2, 4, 4, 1, 2, 0, 3, 0, 2, 2, 3, 3, 4, 0, 2, 2, 4, 2, 0] pubkeycol449 = [1, 0, 4, 4, 0, 1, 4, 4, 3, 4, 2, 4, 2, 0, 2, 0, 3, 1, 3, 0, 0, 0, 0, 1, 3, 4, 3, 4, 1, 0, 3, 4, 4, 4, 3, 4, 3, 2, 0, 0, 1, 2, 3, 0, 3, 0, 3, 4, 0, 1, 3, 4, 3, 1, 3, 4, 2, 1, 0, 2, 2, 2, 3, 3, 2, 4, 0, 3, 2, 1, 3, 3, 3, 0, 0, 3, 4, 0, 2, 2, 0, 2, 1, 0, 0, 1, 4, 0, 1, 3, 3, 1, 3, 1, 1, 2, 3, 0, 0, 1, 4, 4, 2, 2, 4, 2, 0, 4, 2, 3, 2, 4, 0, 0, 0, 0, 4, 1, 3, 1, 0, 3, 3, 1, 0, 1, 0, 2, 4, 2, 0, 0, 0, 4, 1, 2, 4, 4, 3, 4, 4, 1, 1, 3, 2, 1, 0, 0, 0, 3, 3, 1, 0, 4, 0, 3, 4, 0, 4, 0, 3, 3, 0, 2, 4, 4, 2, 0, 1, 4, 2, 2, 3, 3, 4, 3, 1, 2, 0, 3, 3, 0, 3, 4, 0, 3, 2, 3, 3, 0, 1, 0, 4, 4, 0, 1, 4, 1, 0, 2, 2, 2, 4, 1, 3, 3, 2, 3, 4, 0, 0, 0, 0, 3, 0, 1, 3, 2, 1, 0, 1, 1, 3, 4, 3, 4, 0, 1, 0, 1, 2, 3, 3, 4, 3, 0, 4, 1, 4, 1, 2, 3, 3, 1, 4, 4, 0, 1, 3, 3, 3, 2, 3, 0, 1, 3, 2, 3, 1, 4, 0, 0, 0, 1, 2, 2, 0, 4, 0, 0, 1, 3, 1, 1, 2, 0, 1, 0, 0, 0, 4, 1, 2, 2, 4, 1, 3, 2, 2, 4, 3, 3, 3, 4, 4, 4, 0, 3, 3, 0, 2, 4, 4, 3, 2, 1, 1, 4, 4, 4, 3, 0, 3, 3, 3, 4, 3, 1, 4, 2] pubkeycol450 = [4, 0, 1, 0, 4, 3, 2, 2, 2, 4, 0, 4, 4, 1, 3, 2, 0, 3, 0, 3, 0, 3, 2, 1, 0, 3, 0, 3, 3, 3, 0, 4, 4, 1, 0, 3, 3, 0, 3, 4, 0, 2, 0, 2, 0, 2, 3, 2, 1, 3, 0, 4, 0, 2, 3, 2, 2, 1, 1, 4, 2, 0, 4, 0, 2, 4, 4, 1, 1, 0, 0, 0, 0, 2, 4, 0, 1, 2, 2, 1, 1, 1, 2, 3, 0, 3, 3, 3, 0, 4, 3, 3, 2, 3, 3, 1, 2, 3, 1, 2, 4, 0, 4, 3, 3, 2, 2, 3, 2, 2, 2, 1, 4, 1, 3, 3, 3, 1, 4, 1, 3, 0, 0, 0, 0, 0, 1, 4, 0, 3, 3, 1, 3, 4, 4, 4, 3, 3, 0, 0, 1, 0, 2, 3, 3, 1, 4, 0, 1, 4, 3, 4, 1, 3, 4, 1, 4, 2, 2, 4, 2, 2, 2, 1, 0, 4, 4, 4, 1, 0, 1, 0, 2, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 2, 3, 1, 1, 1, 1, 3, 0, 2, 3, 1, 2, 0, 1, 1, 1, 4, 4, 1, 4, 2, 0, 2, 2, 3, 4, 2, 0, 0, 0, 4, 2, 3, 0, 2, 1, 1, 2, 0, 2, 0, 3, 4, 3, 1, 0, 2, 0, 1, 3, 1, 1, 4, 3, 0, 4, 2, 4, 2, 3, 3, 3, 0, 3, 2, 1, 4, 1, 1, 1, 4, 3, 2, 1, 4, 1, 3, 0, 2, 1, 4, 0, 0, 1, 4, 0, 3, 2, 4, 0, 2, 0, 0, 3, 0, 2, 1, 0, 4, 1, 4, 2, 1, 4, 3, 0, 2, 1, 1, 2, 4, 3, 3, 1, 4, 0, 3, 0, 3, 1, 0, 1, 4, 0, 0, 4, 2, 4, 1, 0, 4, 3, 1, 0, 3, 3, 4] pubkeycol451 = [2, 1, 2, 3, 3, 3, 4, 1, 2, 4, 3, 0, 3, 4, 3, 4, 1, 1, 0, 0, 3, 1, 2, 1, 4, 1, 0, 3, 4, 0, 0, 2, 3, 0, 1, 1, 3, 3, 1, 1, 0, 3, 0, 0, 0, 0, 2, 3, 1, 1, 3, 3, 3, 4, 4, 1, 3, 1, 2, 3, 1, 1, 3, 4, 0, 2, 1, 0, 2, 4, 2, 0, 4, 1, 3, 0, 3, 1, 0, 2, 0, 1, 0, 0, 2, 0, 4, 3, 0, 2, 3, 3, 0, 0, 4, 1, 2, 1, 2, 2, 3, 0, 1, 3, 3, 1, 3, 3, 2, 3, 2, 1, 2, 4, 2, 0, 2, 1, 4, 0, 3, 4, 4, 1, 1, 1, 0, 1, 4, 1, 2, 4, 4, 2, 2, 3, 4, 4, 4, 0, 1, 3, 4, 2, 0, 3, 3, 2, 2, 1, 2, 3, 4, 4, 3, 4, 3, 0, 2, 3, 4, 2, 0, 0, 1, 1, 4, 4, 2, 1, 4, 2, 2, 3, 1, 1, 2, 1, 2, 3, 4, 0, 3, 0, 2, 2, 2, 2, 4, 0, 4, 2, 4, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 3, 4, 1, 2, 4, 4, 0, 3, 2, 3, 0, 1, 4, 1, 4, 4, 1, 1, 1, 3, 4, 1, 3, 2, 4, 1, 2, 1, 0, 0, 1, 4, 1, 1, 4, 0, 3, 3, 2, 4, 3, 3, 2, 0, 3, 3, 0, 1, 3, 1, 3, 0, 1, 1, 3, 2, 0, 0, 2, 0, 1, 4, 3, 4, 1, 2, 3, 4, 3, 0, 0, 4, 0, 4, 4, 0, 4, 0, 2, 3, 0, 0, 3, 3, 0, 0, 1, 4, 2, 2, 3, 3, 0, 3, 1, 1, 1, 0, 0, 0, 3, 2, 2, 4, 4, 0, 4, 4, 4, 2, 4, 0] pubkeycol452 = [0, 4, 4, 1, 3, 2, 1, 3, 1, 3, 0, 3, 1, 1, 3, 2, 3, 1, 4, 1, 2, 4, 0, 2, 0, 2, 2, 1, 4, 0, 3, 1, 1, 2, 0, 2, 1, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 2, 1, 3, 2, 4, 0, 3, 3, 3, 1, 0, 3, 3, 0, 0, 1, 4, 2, 0, 3, 4, 2, 0, 2, 4, 0, 0, 3, 1, 4, 1, 3, 4, 0, 2, 1, 4, 0, 0, 3, 0, 1, 2, 2, 3, 1, 3, 1, 3, 4, 2, 3, 0, 0, 3, 4, 0, 3, 2, 3, 3, 0, 0, 3, 2, 0, 2, 1, 3, 3, 2, 0, 1, 2, 0, 2, 0, 4, 1, 0, 2, 4, 2, 2, 1, 1, 0, 2, 3, 0, 3, 3, 1, 1, 3, 2, 3, 0, 3, 2, 3, 1, 1, 1, 0, 3, 3, 4, 0, 0, 0, 0, 1, 4, 3, 3, 4, 3, 4, 4, 0, 0, 1, 4, 2, 3, 2, 1, 2, 0, 2, 1, 3, 2, 1, 1, 2, 4, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 3, 0, 4, 3, 1, 2, 1, 1, 4, 4, 2, 3, 4, 1, 1, 1, 0, 0, 4, 2, 3, 1, 2, 3, 2, 1, 3, 4, 1, 3, 4, 2, 0, 3, 1, 4, 1, 0, 4, 3, 1, 1, 3, 0, 4, 0, 3, 1, 0, 4, 0, 4, 3, 0, 0, 3, 0, 2, 0, 4, 4, 2, 2, 4, 1, 1, 0, 0, 1, 2, 4, 3, 3, 2, 3, 1, 3, 0, 4, 4, 2, 0, 1, 3, 4, 3, 4, 3, 1, 3, 0, 0, 1, 2, 2, 0, 1, 1, 4, 4, 0, 0, 2, 4, 4, 4, 4, 4, 1, 4, 4, 3, 3, 3, 4, 4, 1, 2, 0, 1, 4, 0, 3] pubkeycol453 = [3, 2, 2, 2, 0, 3, 3, 2, 0, 4, 0, 0, 4, 4, 0, 3, 3, 2, 2, 3, 3, 2, 1, 1, 0, 3, 4, 0, 0, 3, 3, 0, 0, 1, 3, 1, 4, 3, 3, 3, 4, 0, 0, 0, 0, 4, 1, 3, 0, 0, 2, 1, 1, 2, 0, 4, 1, 4, 2, 0, 2, 2, 3, 4, 3, 1, 4, 2, 1, 3, 0, 3, 1, 0, 2, 3, 2, 4, 0, 2, 0, 0, 1, 0, 1, 3, 0, 2, 1, 0, 3, 3, 4, 3, 2, 3, 1, 1, 1, 3, 0, 2, 2, 1, 3, 0, 1, 4, 0, 1, 2, 0, 2, 4, 2, 1, 0, 0, 3, 3, 3, 2, 4, 4, 0, 0, 1, 4, 1, 4, 2, 1, 0, 0, 0, 1, 0, 1, 2, 3, 2, 1, 1, 3, 2, 4, 4, 0, 3, 4, 0, 4, 4, 0, 3, 4, 2, 1, 2, 2, 1, 0, 3, 3, 4, 1, 3, 1, 1, 1, 1, 0, 3, 1, 1, 2, 4, 2, 3, 2, 3, 2, 4, 3, 3, 2, 4, 0, 0, 1, 0, 4, 2, 0, 0, 0, 4, 3, 0, 2, 0, 1, 4, 0, 0, 3, 4, 3, 1, 1, 1, 2, 2, 4, 2, 2, 0, 3, 2, 2, 4, 0, 3, 4, 2, 1, 1, 1, 1, 1, 0, 1, 4, 3, 4, 2, 0, 1, 3, 0, 0, 0, 4, 2, 0, 2, 4, 0, 4, 3, 4, 1, 0, 4, 1, 4, 2, 2, 4, 0, 3, 4, 1, 0, 4, 1, 1, 2, 3, 3, 4, 4, 2, 2, 1, 2, 3, 2, 2, 2, 2, 0, 0, 4, 0, 1, 2, 2, 3, 1, 0, 3, 0, 0, 2, 1, 1, 0, 0, 3, 0, 1, 0, 4, 2, 3, 2, 4, 1, 0, 0, 1, 1, 3, 0, 0, 1, 4, 3, 4] pubkeycol454 = [4, 0, 3, 4, 1, 3, 4, 1, 1, 1, 1, 1, 0, 1, 0, 4, 4, 2, 3, 0, 0, 0, 3, 4, 1, 1, 3, 0, 2, 4, 0, 1, 1, 3, 3, 1, 1, 1, 3, 1, 2, 1, 4, 1, 4, 4, 2, 0, 1, 4, 2, 1, 3, 3, 1, 4, 1, 4, 1, 4, 0, 3, 1, 1, 3, 4, 3, 2, 0, 1, 0, 3, 1, 3, 1, 3, 3, 2, 3, 1, 2, 2, 2, 0, 2, 1, 4, 3, 2, 2, 3, 4, 4, 0, 4, 4, 1, 2, 3, 3, 0, 0, 0, 4, 0, 4, 0, 3, 2, 4, 2, 4, 4, 2, 3, 2, 0, 4, 0, 3, 1, 4, 4, 1, 3, 0, 1, 2, 3, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 3, 4, 3, 0, 4, 4, 3, 1, 0, 3, 1, 1, 0, 1, 4, 2, 0, 4, 2, 4, 3, 3, 1, 0, 1, 1, 3, 2, 4, 0, 4, 1, 4, 1, 2, 4, 1, 2, 2, 3, 2, 1, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, 4, 3, 4, 1, 0, 3, 3, 3, 3, 3, 3, 2, 0, 3, 3, 4, 0, 2, 1, 1, 2, 1, 3, 0, 1, 4, 3, 1, 0, 2, 3, 1, 0, 1, 1, 1, 4, 2, 4, 0, 0, 4, 0, 0, 2, 4, 4, 0, 4, 3, 2, 2, 1, 0, 0, 2, 3, 3, 4, 0, 4, 4, 0, 1, 4, 2, 1, 3, 1, 0, 4, 4, 3, 1, 3, 4, 1, 2, 2, 0, 2, 2, 1, 1, 0, 4, 3, 0, 2, 4, 2, 2, 2, 4, 0, 1, 4, 1, 3, 3, 0, 1, 4, 0, 0, 2, 4, 4, 2, 4, 3, 2, 3, 2, 0, 3, 1, 4, 4, 3, 0, 3, 2, 2, 0, 4] pubkeycol455 = [0, 0, 4, 0, 4, 3, 0, 0, 1, 1, 1, 3, 1, 4, 4, 4, 3, 0, 1, 3, 1, 0, 0, 2, 3, 0, 3, 3, 3, 4, 0, 3, 2, 0, 1, 3, 0, 4, 4, 4, 1, 0, 0, 4, 1, 1, 0, 1, 1, 1, 3, 2, 3, 4, 3, 3, 3, 2, 3, 2, 2, 1, 4, 3, 2, 4, 3, 0, 3, 4, 0, 3, 0, 2, 3, 3, 4, 3, 4, 4, 1, 2, 4, 0, 4, 4, 0, 3, 3, 2, 0, 3, 1, 1, 0, 2, 2, 4, 2, 4, 3, 4, 4, 4, 1, 4, 4, 0, 3, 0, 1, 4, 2, 4, 1, 4, 4, 4, 0, 0, 0, 3, 2, 1, 0, 1, 0, 0, 1, 4, 4, 3, 3, 0, 4, 4, 0, 1, 3, 3, 2, 4, 4, 1, 3, 2, 4, 4, 4, 2, 1, 0, 2, 3, 0, 4, 4, 1, 2, 0, 4, 1, 1, 1, 1, 0, 4, 0, 3, 4, 0, 2, 1, 4, 3, 2, 1, 2, 3, 1, 4, 0, 2, 0, 2, 3, 1, 0, 1, 2, 2, 3, 0, 1, 4, 3, 4, 1, 2, 4, 1, 2, 2, 3, 4, 3, 1, 2, 4, 3, 0, 2, 3, 4, 3, 4, 4, 4, 0, 4, 4, 1, 4, 1, 4, 2, 1, 2, 0, 2, 4, 3, 3, 2, 3, 2, 1, 4, 4, 2, 1, 0, 4, 2, 4, 4, 1, 1, 4, 0, 4, 4, 0, 2, 2, 0, 1, 3, 4, 2, 4, 3, 2, 0, 3, 3, 4, 0, 4, 2, 4, 3, 1, 2, 0, 3, 4, 2, 0, 0, 0, 0, 2, 3, 2, 2, 0, 2, 2, 1, 4, 1, 1, 0, 3, 0, 4, 3, 2, 1, 1, 4, 2, 3, 3, 4, 2, 4, 2, 4, 4, 1, 3, 2, 4, 4, 4, 2, 1, 3] pubkeycol456 = [0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 4, 3, 2, 3, 4, 3, 2, 3, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 3, 3, 4, 1, 1, 1, 4, 1, 0, 4, 1, 2, 2, 3, 0, 4, 1, 0, 0, 2, 3, 1, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 4, 4, 3, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 0, 1, 4, 3, 2, 4, 0, 1, 1, 1, 2, 3, 0, 4, 3, 1, 3, 2, 2, 4, 4, 2, 2, 2, 1, 0, 2, 3, 0, 4, 3, 4, 2, 2, 2, 2, 1, 0, 3, 1, 2, 3, 1, 1, 0, 1, 1, 0, 4, 1, 3, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 4, 2, 0, 3, 2, 2, 0, 1, 1, 1, 0, 3, 1, 3, 1, 0, 1, 1, 0, 0, 2, 3, 1, 4, 3, 0, 0, 4, 0, 3, 1, 2, 2, 3, 4, 0, 0, 1, 0, 3, 4, 0, 1, 0, 1, 1, 0, 4, 4, 0, 2, 2, 0, 0, 3, 0, 2, 1, 3, 2, 4, 2, 4, 2, 1, 1, 0, 3, 2, 3, 0, 1, 1, 1, 2, 3, 3, 2, 1, 3, 0, 0, 1, 1, 3, 3, 0, 4, 1, 3, 4, 0, 0, 3, 1, 0, 2, 1, 1, 0, 3, 1, 4, 2, 2, 4, 1, 2, 1, 2, 2, 4, 1, 4, 1, 4, 3, 2, 0, 3, 2, 2, 1, 1, 4, 0, 0, 4, 2, 3, 4, 3, 1, 4, 0, 1, 4, 1, 3, 4, 3, 2, 0, 0, 4, 4, 1, 3, 2, 2, 1, 4, 0, 1, 0, 2, 2, 0, 3, 2, 4, 0, 2, 2, 0, 4, 2, 2, 2, 4, 0, 2, 0, 0, 4, 0, 0, 4, 3, 1, 1, 2, 0, 0, 2, 2] pubkeycol457 = [4, 4, 4, 3, 0, 2, 4, 3, 3, 4, 0, 0, 4, 1, 3, 4, 2, 4, 4, 0, 1, 2, 0, 0, 3, 2, 0, 1, 3, 3, 2, 4, 0, 4, 2, 3, 1, 4, 1, 1, 1, 0, 0, 4, 2, 2, 4, 1, 4, 0, 3, 1, 3, 2, 1, 1, 4, 3, 2, 3, 4, 1, 4, 4, 1, 4, 3, 2, 4, 2, 4, 0, 0, 4, 3, 4, 0, 1, 2, 2, 3, 4, 0, 4, 0, 4, 0, 3, 3, 3, 1, 0, 1, 4, 4, 0, 2, 4, 0, 4, 0, 3, 3, 3, 2, 0, 0, 3, 0, 4, 3, 3, 0, 2, 1, 2, 4, 1, 3, 3, 4, 3, 1, 2, 3, 4, 2, 1, 1, 3, 2, 1, 3, 4, 3, 4, 1, 1, 2, 0, 1, 0, 3, 4, 4, 1, 0, 4, 4, 3, 4, 0, 3, 3, 4, 4, 1, 4, 4, 0, 3, 1, 4, 2, 2, 1, 2, 2, 1, 0, 0, 4, 1, 2, 1, 0, 3, 0, 4, 0, 2, 4, 1, 3, 0, 1, 1, 4, 1, 0, 0, 0, 4, 1, 1, 2, 0, 4, 2, 0, 1, 3, 4, 1, 2, 4, 0, 2, 1, 2, 4, 4, 4, 0, 1, 0, 4, 4, 0, 1, 1, 1, 4, 0, 2, 4, 1, 1, 0, 1, 4, 2, 0, 4, 3, 2, 0, 3, 1, 2, 2, 1, 0, 1, 2, 3, 4, 2, 1, 3, 2, 0, 3, 4, 4, 4, 1, 0, 3, 2, 0, 3, 0, 4, 2, 4, 3, 2, 0, 1, 0, 0, 1, 2, 2, 3, 4, 0, 4, 1, 4, 2, 4, 0, 0, 1, 3, 4, 1, 4, 0, 2, 3, 1, 1, 2, 1, 0, 3, 3, 0, 1, 0, 0, 1, 3, 2, 4, 1, 2, 0, 2, 1, 2, 4, 4, 0, 4, 4, 1] pubkeycol458 = [0, 2, 3, 2, 4, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 4, 3, 3, 4, 2, 3, 4, 3, 4, 0, 1, 3, 1, 2, 2, 1, 3, 3, 0, 3, 2, 1, 1, 1, 1, 4, 3, 0, 2, 0, 4, 2, 0, 4, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 3, 1, 2, 3, 4, 0, 2, 1, 0, 3, 3, 2, 1, 0, 2, 0, 2, 2, 4, 4, 0, 4, 3, 2, 4, 0, 3, 3, 3, 3, 2, 2, 0, 1, 4, 2, 2, 2, 4, 0, 4, 2, 4, 3, 3, 0, 1, 0, 1, 3, 2, 2, 2, 4, 1, 1, 2, 4, 2, 1, 2, 2, 4, 2, 0, 1, 3, 2, 0, 3, 3, 2, 2, 1, 1, 4, 1, 4, 2, 0, 4, 4, 4, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 4, 1, 2, 4, 4, 2, 2, 4, 2, 1, 3, 2, 3, 1, 2, 1, 0, 3, 3, 4, 4, 1, 3, 1, 4, 4, 4, 1, 3, 4, 3, 1, 1, 2, 0, 4, 2, 2, 3, 0, 4, 0, 3, 4, 2, 2, 2, 4, 2, 4, 3, 1, 4, 4, 1, 2, 2, 2, 3, 4, 0, 1, 4, 4, 1, 1, 2, 4, 2, 4, 1, 1, 3, 4, 0, 2, 1, 1, 0, 1, 4, 0, 1, 4, 3, 2, 0, 0, 1, 1, 0, 3, 1, 3, 4, 3, 4, 3, 4, 2, 3, 1, 3, 3, 2, 4, 4, 3, 0, 3, 2, 1, 2, 2, 2, 2, 3, 1, 4, 1, 1, 2, 4, 4, 3, 3, 4, 3, 1, 3, 0, 4, 1, 2, 4, 0, 1, 3, 3, 4, 1, 0, 4, 3, 0, 2, 4, 1, 2, 3, 1, 3, 1, 0, 4, 3, 1, 4, 4, 3, 4, 2] pubkeycol459 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 3, 0, 1, 0, 2, 4, 2, 1, 4, 1, 0, 0, 2, 4, 1, 2, 4, 3, 4, 4, 2, 3, 2, 4, 3, 2, 4, 4, 2, 2, 1, 0, 0, 4, 4, 3, 4, 3, 2, 3, 4, 3, 2, 4, 0, 4, 0, 4, 3, 1, 1, 4, 1, 4, 0, 0, 0, 2, 3, 0, 2, 0, 2, 1, 1, 4, 3, 3, 0, 1, 1, 4, 1, 2, 3, 1, 2, 4, 0, 3, 1, 1, 3, 2, 2, 4, 0, 0, 0, 3, 3, 4, 4, 1, 0, 3, 0, 2, 1, 1, 1, 2, 0, 3, 3, 1, 3, 1, 0, 3, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 0, 3, 0, 4, 0, 3, 4, 3, 1, 4, 4, 0, 1, 3, 4, 3, 0, 4, 4, 0, 4, 4, 4, 3, 3, 2, 1, 1, 4, 0, 1, 1, 2, 3, 1, 4, 2, 0, 4, 0, 2, 0, 1, 2, 2, 4, 0, 3, 0, 0, 4, 2, 0, 1, 2, 4, 2, 2, 0, 2, 4, 0, 0, 0, 4, 3, 3, 0, 0, 2, 3, 4, 1, 4, 1, 1, 0, 3, 4, 4, 2, 4, 0, 1, 0, 0, 4, 2, 2, 4, 1, 0, 0, 1, 0, 1, 3, 1, 4, 2, 1, 3, 3, 0, 1, 0, 1, 2, 0, 2, 2, 4, 0, 1, 1, 3, 0, 1, 0, 1, 1, 3, 4, 1, 4, 1, 3, 2, 3, 3, 0, 1, 0, 1, 1, 4, 3, 4, 1, 4, 0, 1, 4, 3, 1, 3, 4, 4, 4, 2, 4, 1, 2, 3, 1, 1, 4, 0, 2, 3, 1, 0, 1, 3, 3, 1, 0, 1, 4, 0, 3, 4, 0, 0, 2, 2, 1, 4, 3, 2, 2, 1, 1, 3, 4, 2, 4, 4, 2, 3] pubkeycol460 = [1, 3, 0, 1, 2, 4, 0, 1, 1, 0, 0, 3, 4, 1, 0, 3, 3, 0, 4, 0, 2, 0, 4, 2, 0, 2, 0, 3, 0, 3, 0, 3, 2, 4, 1, 3, 4, 0, 1, 3, 3, 2, 1, 4, 1, 2, 4, 1, 1, 3, 2, 4, 1, 1, 0, 0, 2, 0, 0, 3, 1, 2, 1, 0, 4, 4, 0, 4, 0, 4, 0, 3, 3, 2, 2, 2, 3, 0, 2, 0, 3, 2, 1, 1, 2, 4, 0, 0, 3, 0, 1, 3, 4, 2, 0, 4, 3, 4, 3, 2, 0, 3, 1, 2, 0, 0, 4, 2, 1, 3, 1, 4, 1, 2, 1, 2, 0, 3, 4, 2, 4, 2, 3, 3, 0, 4, 4, 1, 3, 4, 1, 3, 2, 2, 4, 4, 1, 3, 2, 0, 2, 1, 4, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 4, 3, 2, 4, 0, 1, 3, 3, 0, 3, 0, 3, 2, 0, 3, 0, 3, 0, 2, 1, 3, 3, 4, 2, 3, 1, 4, 3, 2, 0, 2, 0, 4, 0, 2, 2, 2, 2, 0, 1, 0, 3, 0, 3, 0, 3, 1, 0, 4, 2, 2, 4, 4, 3, 4, 2, 4, 0, 0, 2, 0, 3, 0, 0, 4, 4, 1, 1, 0, 4, 0, 2, 0, 1, 1, 0, 0, 4, 4, 4, 4, 2, 1, 3, 4, 1, 1, 3, 2, 1, 3, 1, 0, 4, 2, 2, 2, 3, 4, 3, 3, 2, 2, 3, 3, 0, 2, 3, 3, 2, 3, 2, 3, 0, 0, 4, 2, 2, 3, 0, 4, 2, 2, 2, 2, 0, 0, 1, 1, 4, 2, 2, 4, 3, 0, 0, 1, 2, 3, 1, 0, 3, 0, 3, 2, 3, 2, 1, 2, 0, 0, 2, 4, 1, 1, 1, 4, 2, 0, 3, 3, 0, 3, 2, 2, 2] pubkeycol461 = [4, 3, 2, 2, 1, 4, 4, 1, 1, 4, 2, 2, 0, 3, 1, 0, 1, 0, 4, 2, 0, 2, 0, 0, 0, 1, 4, 3, 0, 0, 3, 2, 0, 3, 0, 4, 2, 0, 4, 3, 3, 4, 0, 4, 4, 2, 0, 0, 3, 2, 3, 0, 0, 4, 0, 4, 0, 1, 4, 1, 3, 1, 0, 3, 1, 3, 3, 1, 1, 4, 4, 1, 1, 1, 2, 0, 1, 2, 0, 4, 3, 0, 3, 3, 1, 1, 2, 4, 2, 3, 1, 0, 4, 0, 3, 0, 2, 3, 4, 0, 4, 3, 4, 4, 2, 3, 2, 1, 4, 0, 0, 2, 3, 2, 2, 4, 3, 0, 3, 4, 0, 1, 2, 2, 4, 3, 3, 4, 2, 4, 2, 0, 1, 2, 4, 0, 4, 2, 2, 4, 4, 3, 4, 2, 0, 1, 2, 4, 4, 0, 3, 2, 4, 1, 4, 3, 3, 1, 2, 1, 4, 3, 1, 3, 3, 1, 2, 4, 2, 4, 3, 0, 4, 4, 0, 4, 2, 3, 0, 0, 0, 1, 0, 3, 0, 3, 1, 3, 3, 1, 0, 0, 0, 3, 1, 2, 2, 4, 1, 4, 1, 0, 2, 2, 0, 0, 1, 1, 4, 0, 0, 4, 3, 1, 3, 1, 0, 4, 0, 3, 4, 3, 2, 3, 1, 1, 1, 1, 2, 1, 4, 1, 2, 3, 1, 2, 4, 1, 4, 3, 4, 0, 3, 2, 0, 1, 1, 0, 3, 4, 3, 2, 3, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 3, 1, 2, 0, 3, 3, 1, 3, 0, 2, 1, 0, 2, 4, 0, 4, 1, 0, 0, 0, 3, 1, 3, 3, 1, 0, 1, 3, 3, 3, 4, 2, 2, 3, 2, 2, 1, 4, 3, 1, 4, 0, 2, 2, 4, 4, 3, 3, 2, 1, 3, 0, 2, 0, 4, 1] pubkeycol462 = [0, 1, 4, 3, 2, 2, 3, 2, 4, 0, 0, 1, 1, 4, 1, 2, 1, 1, 0, 3, 3, 2, 1, 3, 2, 0, 1, 2, 3, 3, 0, 2, 4, 1, 3, 0, 4, 0, 3, 3, 0, 4, 3, 3, 2, 0, 4, 1, 1, 3, 4, 1, 2, 0, 1, 3, 0, 0, 2, 1, 4, 1, 2, 3, 0, 2, 2, 0, 4, 3, 3, 2, 0, 0, 0, 2, 3, 1, 2, 2, 2, 0, 0, 1, 1, 3, 0, 2, 3, 1, 4, 3, 3, 1, 2, 2, 3, 0, 4, 3, 4, 0, 2, 0, 4, 4, 0, 0, 2, 1, 1, 0, 3, 2, 3, 2, 2, 0, 3, 1, 0, 0, 2, 2, 1, 3, 1, 3, 1, 2, 1, 1, 1, 0, 4, 2, 2, 3, 2, 1, 0, 0, 4, 1, 3, 4, 0, 1, 4, 4, 4, 1, 0, 3, 1, 1, 2, 3, 2, 0, 3, 4, 3, 1, 4, 2, 3, 0, 0, 4, 3, 0, 4, 3, 3, 0, 1, 4, 4, 4, 1, 0, 2, 3, 4, 1, 4, 1, 3, 1, 1, 1, 0, 0, 2, 1, 3, 4, 1, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 2, 2, 2, 0, 0, 1, 3, 1, 2, 0, 1, 0, 2, 0, 3, 0, 1, 1, 2, 0, 2, 0, 4, 4, 4, 4, 4, 1, 3, 1, 2, 4, 4, 3, 0, 3, 1, 4, 3, 2, 2, 0, 1, 4, 1, 0, 1, 3, 0, 3, 1, 1, 0, 4, 4, 0, 2, 3, 1, 0, 2, 1, 3, 2, 3, 0, 2, 3, 1, 1, 4, 2, 2, 3, 1, 0, 2, 2, 0, 3, 0, 0, 3, 1, 1, 0, 4, 0, 1, 4, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 3, 3, 1, 4, 1, 2, 2, 4, 4] pubkeycol463 = [4, 3, 1, 3, 2, 2, 4, 3, 2, 3, 3, 3, 1, 3, 0, 4, 3, 1, 1, 0, 3, 3, 0, 2, 3, 4, 3, 3, 1, 1, 4, 4, 4, 2, 0, 0, 4, 2, 4, 2, 4, 3, 2, 1, 3, 3, 4, 0, 2, 2, 4, 2, 2, 0, 3, 3, 4, 0, 3, 3, 0, 0, 3, 0, 1, 0, 2, 0, 2, 2, 4, 4, 1, 1, 4, 3, 2, 0, 2, 3, 0, 3, 1, 2, 4, 1, 0, 3, 1, 4, 1, 2, 0, 1, 3, 3, 1, 0, 0, 1, 4, 2, 2, 1, 1, 1, 3, 3, 4, 2, 1, 4, 1, 4, 3, 2, 3, 4, 0, 1, 1, 4, 1, 4, 0, 3, 2, 2, 4, 2, 0, 4, 2, 4, 4, 0, 2, 1, 4, 3, 0, 1, 3, 3, 2, 4, 3, 1, 1, 4, 0, 2, 3, 0, 1, 2, 1, 0, 2, 4, 0, 3, 3, 0, 3, 1, 3, 2, 3, 4, 1, 0, 2, 4, 0, 0, 1, 0, 1, 0, 4, 3, 1, 1, 0, 1, 1, 4, 3, 3, 2, 1, 0, 2, 3, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 4, 1, 2, 3, 3, 4, 1, 4, 2, 1, 2, 0, 4, 0, 0, 0, 4, 1, 0, 3, 1, 2, 1, 2, 3, 2, 3, 1, 1, 0, 0, 4, 4, 0, 0, 3, 4, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 3, 1, 2, 4, 3, 1, 1, 4, 0, 4, 4, 3, 3, 1, 4, 4, 0, 4, 1, 1, 0, 3, 2, 2, 0, 3, 0, 2, 2, 0, 2, 4, 0, 2, 0, 4, 1, 3, 2, 4, 4, 2, 0, 4, 4, 4, 2, 2, 0, 2, 4, 1, 1, 2, 1, 0, 2, 0, 3, 1, 1, 2, 1, 1, 0] pubkeycol464 = [0, 2, 2, 4, 3, 1, 2, 3, 0, 1, 3, 2, 1, 1, 0, 1, 3, 4, 3, 3, 1, 1, 3, 1, 1, 3, 3, 2, 4, 4, 3, 0, 3, 2, 3, 4, 1, 4, 2, 1, 2, 3, 2, 3, 3, 1, 3, 3, 2, 1, 2, 4, 0, 4, 2, 2, 1, 1, 0, 0, 4, 2, 2, 2, 2, 2, 3, 2, 0, 0, 3, 0, 0, 1, 4, 0, 1, 2, 3, 1, 1, 4, 0, 1, 4, 2, 4, 4, 2, 3, 2, 1, 4, 0, 4, 4, 4, 2, 3, 2, 2, 3, 0, 2, 2, 1, 3, 0, 2, 0, 3, 2, 2, 4, 1, 4, 1, 2, 0, 3, 4, 4, 3, 0, 4, 3, 3, 1, 1, 2, 4, 3, 2, 4, 0, 0, 0, 4, 3, 3, 2, 0, 4, 2, 3, 0, 4, 0, 0, 3, 2, 0, 2, 2, 4, 3, 4, 0, 1, 4, 3, 4, 1, 2, 0, 0, 2, 0, 4, 3, 4, 4, 3, 1, 1, 0, 4, 0, 1, 2, 0, 4, 1, 2, 1, 4, 0, 2, 4, 4, 2, 0, 4, 3, 3, 4, 0, 2, 0, 4, 2, 2, 0, 4, 4, 0, 3, 4, 4, 1, 3, 0, 0, 0, 3, 0, 3, 2, 4, 3, 1, 4, 1, 0, 3, 4, 3, 1, 4, 2, 3, 0, 3, 3, 1, 4, 3, 1, 1, 0, 2, 2, 1, 2, 4, 3, 0, 4, 3, 2, 4, 4, 3, 3, 3, 1, 3, 1, 1, 4, 0, 1, 4, 0, 3, 3, 2, 3, 2, 0, 1, 1, 1, 2, 2, 4, 3, 3, 3, 0, 1, 4, 1, 0, 1, 4, 3, 0, 3, 3, 0, 0, 1, 0, 2, 0, 3, 4, 0, 0, 1, 2, 4, 2, 0, 3, 0, 0, 1, 0, 0, 0, 4, 0, 2, 4, 0, 3, 1, 2] pubkeycol465 = [1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 4, 2, 1, 1, 3, 3, 1, 1, 0, 2, 1, 3, 0, 4, 2, 0, 0, 3, 4, 4, 2, 1, 2, 1, 1, 1, 4, 2, 2, 4, 2, 0, 2, 3, 2, 0, 2, 0, 4, 2, 1, 4, 2, 4, 1, 4, 1, 1, 1, 0, 4, 1, 0, 0, 2, 1, 3, 0, 1, 4, 1, 3, 1, 4, 4, 3, 1, 2, 0, 4, 2, 4, 1, 3, 1, 0, 2, 3, 2, 0, 4, 3, 4, 0, 0, 3, 1, 4, 1, 4, 1, 2, 0, 4, 3, 0, 2, 2, 4, 0, 1, 3, 3, 4, 0, 0, 2, 4, 4, 3, 1, 2, 3, 0, 1, 3, 3, 2, 2, 0, 2, 4, 3, 2, 0, 4, 3, 0, 4, 3, 2, 0, 4, 3, 1, 2, 4, 2, 0, 4, 4, 4, 3, 1, 2, 1, 2, 0, 3, 1, 4, 0, 2, 0, 4, 0, 0, 0, 4, 3, 3, 0, 2, 3, 4, 1, 1, 2, 1, 1, 4, 3, 4, 0, 2, 4, 0, 3, 0, 1, 4, 3, 1, 0, 4, 1, 4, 1, 4, 3, 1, 4, 1, 1, 3, 2, 4, 4, 1, 2, 0, 3, 4, 3, 3, 0, 3, 3, 0, 3, 0, 3, 2, 3, 1, 3, 1, 2, 0, 1, 2, 4, 4, 4, 4, 0, 3, 4, 2, 0, 0, 1, 1, 4, 2, 0, 3, 1, 4, 0, 0, 0, 2, 4, 1, 3, 3, 0, 4, 1, 4, 1, 2, 4, 3, 4, 3, 4, 0, 0, 0, 0, 2, 1, 3, 4, 2, 1, 1, 1, 2, 1, 4, 0, 1, 0, 2, 0, 1, 1, 1, 3, 2, 2, 3, 3, 3, 3, 3, 2, 4, 0, 2, 2, 3, 1, 1, 0, 3, 4, 4, 1, 3, 1, 4, 2, 2] pubkeycol466 = [0, 4, 0, 3, 1, 2, 1, 2, 1, 4, 3, 4, 4, 1, 3, 2, 0, 4, 3, 3, 3, 4, 3, 1, 4, 4, 0, 0, 4, 2, 3, 3, 0, 2, 2, 4, 2, 0, 0, 0, 0, 3, 2, 2, 1, 3, 3, 0, 1, 3, 1, 4, 3, 1, 2, 2, 1, 0, 4, 3, 0, 0, 4, 3, 0, 2, 3, 2, 0, 3, 0, 0, 1, 2, 1, 0, 2, 0, 4, 2, 4, 3, 4, 1, 3, 3, 1, 1, 0, 1, 4, 4, 4, 3, 3, 4, 0, 4, 3, 1, 1, 0, 2, 4, 3, 1, 1, 1, 3, 4, 0, 3, 3, 2, 3, 3, 0, 1, 1, 3, 3, 4, 4, 0, 4, 1, 3, 1, 0, 4, 3, 2, 2, 3, 3, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 2, 3, 3, 1, 2, 0, 0, 0, 3, 0, 0, 2, 4, 2, 2, 2, 3, 2, 1, 4, 0, 2, 0, 0, 2, 0, 1, 2, 4, 0, 2, 2, 3, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 4, 3, 1, 4, 3, 0, 3, 1, 0, 0, 3, 1, 2, 2, 4, 0, 0, 2, 0, 0, 3, 0, 3, 4, 4, 3, 1, 1, 2, 4, 0, 3, 3, 2, 3, 1, 4, 2, 0, 1, 4, 3, 0, 4, 4, 3, 1, 0, 1, 2, 0, 2, 0, 1, 4, 1, 3, 2, 1, 4, 1, 3, 1, 4, 2, 0, 1, 3, 0, 0, 0, 4, 1, 4, 1, 1, 0, 2, 3, 3, 2, 2, 0, 0, 1, 3, 2, 0, 4, 2, 0, 2, 2, 0, 1, 1, 4, 0, 1, 0, 3, 2, 3, 2, 2, 2, 2, 0, 0, 0, 4, 0, 2, 0, 1, 2, 3, 4, 4, 4, 3, 3, 3, 4, 1, 4, 2, 1, 0, 0, 1] pubkeycol467 = [2, 1, 0, 1, 4, 4, 1, 2, 3, 0, 2, 1, 1, 0, 2, 2, 3, 4, 0, 2, 1, 4, 4, 3, 3, 1, 2, 4, 3, 2, 2, 3, 0, 0, 2, 2, 0, 3, 0, 3, 1, 0, 3, 2, 4, 3, 4, 3, 0, 3, 1, 3, 0, 4, 0, 0, 2, 4, 3, 2, 1, 4, 4, 2, 2, 1, 0, 4, 2, 2, 2, 2, 1, 0, 4, 0, 0, 4, 0, 2, 3, 4, 0, 2, 1, 1, 4, 3, 3, 0, 3, 4, 3, 2, 1, 3, 3, 3, 0, 4, 2, 1, 1, 0, 0, 2, 3, 1, 3, 1, 3, 2, 0, 0, 3, 0, 2, 4, 2, 0, 3, 0, 2, 3, 1, 2, 0, 4, 1, 4, 2, 0, 4, 3, 4, 4, 3, 1, 0, 1, 4, 1, 4, 1, 4, 1, 0, 2, 3, 1, 1, 4, 4, 3, 3, 1, 0, 1, 2, 4, 0, 1, 2, 1, 0, 1, 4, 1, 1, 0, 3, 0, 0, 0, 3, 0, 1, 2, 2, 3, 3, 0, 2, 0, 0, 4, 1, 2, 3, 3, 3, 4, 1, 3, 0, 2, 3, 1, 0, 1, 2, 3, 4, 3, 1, 4, 4, 3, 4, 1, 4, 3, 0, 2, 1, 2, 2, 0, 0, 1, 1, 3, 4, 4, 3, 1, 3, 0, 3, 4, 0, 2, 1, 2, 4, 1, 1, 1, 3, 2, 4, 1, 0, 1, 3, 2, 2, 0, 0, 0, 4, 1, 4, 1, 1, 0, 0, 2, 3, 2, 3, 0, 4, 0, 1, 1, 4, 2, 4, 4, 3, 2, 3, 2, 4, 0, 4, 4, 3, 0, 1, 2, 2, 2, 1, 1, 3, 0, 4, 1, 2, 3, 4, 1, 1, 3, 1, 2, 1, 4, 3, 1, 3, 2, 4, 1, 4, 3, 1, 0, 3, 3, 1, 0, 3, 1, 1, 0, 1, 1] pubkeycol468 = [0, 3, 4, 3, 3, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 4, 1, 4, 1, 3, 4, 4, 3, 4, 3, 3, 4, 1, 4, 2, 2, 4, 2, 2, 0, 1, 3, 2, 4, 3, 2, 0, 3, 1, 2, 2, 0, 4, 1, 2, 0, 2, 1, 0, 3, 2, 0, 0, 0, 3, 0, 3, 2, 4, 3, 0, 2, 2, 0, 4, 1, 0, 0, 0, 4, 4, 1, 3, 3, 3, 1, 4, 4, 0, 3, 4, 0, 1, 1, 2, 3, 1, 0, 3, 2, 1, 3, 1, 2, 4, 2, 0, 3, 0, 0, 1, 3, 1, 4, 3, 3, 2, 3, 4, 1, 4, 2, 1, 0, 4, 2, 2, 4, 2, 3, 1, 1, 0, 2, 0, 3, 2, 0, 3, 4, 3, 3, 1, 2, 4, 2, 0, 2, 4, 0, 2, 0, 0, 2, 3, 2, 2, 3, 3, 2, 3, 4, 0, 4, 3, 2, 2, 2, 1, 0, 4, 1, 1, 1, 3, 0, 3, 3, 0, 1, 4, 4, 2, 0, 4, 3, 3, 3, 3, 0, 1, 3, 4, 0, 3, 2, 0, 2, 3, 4, 0, 3, 1, 0, 1, 2, 1, 1, 2, 4, 3, 0, 4, 1, 0, 2, 4, 3, 4, 0, 1, 4, 1, 2, 1, 4, 2, 2, 2, 3, 2, 3, 4, 3, 3, 4, 1, 1, 1, 2, 0, 4, 0, 3, 3, 3, 4, 4, 2, 2, 3, 0, 3, 2, 1, 0, 4, 1, 2, 3, 0, 1, 1, 0, 2, 0, 4, 2, 1, 0, 2, 4, 2, 4, 3, 4, 2, 1, 4, 0, 1, 2, 2, 0, 2, 3, 4, 4, 0, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 3, 4, 4, 4, 1, 3, 4, 1, 4, 0, 1, 2, 1, 0, 1, 4, 4, 0, 3, 2, 2, 0, 3, 1, 4] pubkeycol469 = [3, 2, 1, 4, 2, 2, 3, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 3, 1, 2, 3, 4, 3, 2, 1, 1, 0, 3, 3, 1, 4, 0, 3, 1, 1, 1, 3, 1, 2, 4, 1, 4, 2, 2, 3, 1, 4, 3, 4, 2, 3, 4, 1, 1, 4, 4, 3, 0, 3, 4, 1, 4, 1, 3, 1, 2, 1, 3, 0, 0, 2, 4, 1, 0, 2, 2, 1, 4, 3, 1, 3, 2, 2, 1, 4, 2, 4, 0, 2, 1, 1, 2, 4, 1, 1, 0, 3, 2, 1, 1, 4, 2, 1, 1, 3, 0, 1, 2, 3, 0, 3, 1, 1, 0, 4, 2, 0, 4, 4, 3, 0, 0, 4, 4, 4, 0, 3, 1, 1, 3, 1, 2, 0, 1, 0, 4, 4, 3, 1, 4, 1, 2, 2, 4, 2, 4, 0, 4, 1, 4, 3, 3, 0, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 4, 3, 4, 4, 4, 0, 2, 1, 4, 3, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 3, 3, 4, 4, 2, 0, 3, 0, 4, 3, 3, 0, 1, 4, 4, 1, 2, 3, 1, 0, 3, 0, 2, 4, 0, 1, 4, 0, 3, 0, 1, 2, 2, 3, 3, 1, 4, 0, 2, 0, 1, 3, 1, 4, 4, 3, 1, 2, 4, 1, 4, 4, 4, 0, 4, 4, 4, 3, 4, 3, 1, 0, 3, 1, 0, 0, 0, 0, 2, 3, 1, 0, 0, 1, 3, 0, 1, 3, 1, 3, 3, 1, 4, 4, 2, 0, 3, 1, 3, 4, 0, 1, 2, 0, 4, 0, 1, 0, 1, 4, 4, 4, 3, 3, 1, 1, 2, 3, 0, 2, 3, 3, 1, 3, 1, 2, 1, 2, 1, 4, 4, 3, 4, 2, 4, 3, 1, 2, 4, 3, 0] pubkeycol470 = [4, 1, 4, 3, 4, 0, 1, 4, 3, 3, 1, 4, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 4, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 3, 4, 0, 0, 1, 1, 3, 3, 0, 1, 0, 0, 2, 2, 4, 3, 2, 4, 1, 1, 3, 2, 2, 4, 4, 0, 3, 4, 1, 2, 3, 2, 3, 1, 0, 1, 3, 3, 4, 1, 3, 4, 3, 2, 4, 3, 4, 0, 1, 3, 2, 4, 3, 3, 3, 0, 1, 0, 3, 4, 3, 1, 2, 3, 3, 2, 0, 4, 2, 0, 1, 2, 2, 2, 4, 3, 1, 1, 0, 0, 4, 4, 3, 4, 0, 1, 0, 1, 3, 2, 4, 4, 3, 2, 2, 3, 2, 3, 0, 1, 2, 4, 0, 2, 3, 2, 0, 4, 3, 2, 3, 4, 2, 2, 4, 4, 0, 1, 2, 4, 2, 0, 4, 3, 0, 0, 0, 2, 3, 4, 4, 1, 3, 4, 0, 4, 2, 3, 2, 1, 2, 2, 3, 3, 2, 0, 1, 0, 1, 4, 2, 2, 3, 0, 0, 3, 4, 3, 4, 2, 1, 3, 4, 4, 1, 1, 4, 4, 3, 0, 3, 4, 0, 3, 1, 1, 2, 4, 0, 4, 1, 1, 4, 1, 2, 3, 2, 0, 1, 2, 3, 2, 4, 3, 3, 1, 2, 1, 4, 1, 3, 1, 4, 0, 2, 4, 3, 2, 0, 0, 2, 4, 4, 2, 4, 3, 1, 3, 4, 3, 2, 4, 2, 1, 4, 2, 0, 4, 0, 2, 3, 1, 2, 0, 1, 3, 0, 1, 2, 3, 4, 3, 1, 3, 4, 4, 3, 2, 1, 4, 3, 2, 4, 1, 4, 0, 2, 4, 1, 4, 3, 2, 3, 1, 3, 4, 2, 3, 0, 4, 4, 3, 3, 0, 0, 3, 0, 4, 4, 3, 0, 2] pubkeycol471 = [2, 3, 4, 1, 1, 1, 4, 2, 1, 0, 3, 3, 0, 3, 1, 2, 1, 3, 1, 0, 0, 3, 2, 4, 0, 0, 4, 4, 0, 2, 2, 0, 2, 0, 0, 3, 4, 1, 1, 2, 3, 3, 4, 1, 3, 1, 1, 1, 1, 0, 2, 0, 1, 4, 1, 4, 0, 3, 0, 3, 1, 0, 1, 0, 0, 1, 1, 3, 0, 2, 3, 4, 3, 1, 3, 0, 2, 2, 0, 0, 3, 2, 0, 1, 3, 2, 4, 4, 2, 3, 1, 4, 2, 3, 2, 1, 3, 2, 1, 0, 0, 3, 1, 1, 3, 0, 1, 3, 2, 3, 2, 0, 3, 2, 1, 3, 2, 2, 1, 0, 0, 1, 0, 2, 3, 2, 2, 1, 4, 0, 3, 2, 0, 4, 0, 1, 2, 1, 0, 0, 1, 4, 2, 3, 2, 4, 1, 4, 2, 1, 1, 2, 4, 4, 0, 1, 3, 3, 2, 2, 2, 4, 2, 1, 1, 3, 4, 0, 4, 1, 0, 3, 0, 0, 2, 1, 2, 3, 2, 1, 0, 2, 3, 4, 0, 1, 1, 4, 1, 1, 1, 3, 1, 3, 0, 2, 1, 0, 3, 4, 4, 2, 1, 3, 0, 2, 0, 2, 3, 3, 3, 4, 4, 2, 3, 0, 4, 4, 4, 3, 1, 4, 1, 2, 0, 3, 0, 1, 4, 3, 1, 3, 0, 2, 3, 3, 3, 4, 3, 1, 3, 2, 1, 4, 2, 1, 0, 3, 3, 1, 3, 1, 3, 1, 3, 1, 2, 2, 4, 1, 4, 1, 2, 0, 0, 4, 0, 1, 0, 2, 3, 1, 2, 0, 4, 4, 3, 2, 2, 3, 0, 4, 1, 1, 4, 0, 2, 2, 3, 4, 3, 0, 2, 0, 2, 4, 4, 4, 0, 1, 4, 3, 1, 0, 3, 2, 2, 4, 1, 1, 2, 2, 0, 1, 2, 2, 4, 3, 1, 3] pubkeycol472 = [0, 1, 4, 0, 1, 1, 4, 0, 4, 3, 1, 0, 4, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 3, 3, 1, 3, 3, 4, 3, 0, 1, 0, 1, 2, 0, 3, 2, 2, 3, 3, 4, 2, 4, 3, 3, 2, 1, 2, 4, 1, 0, 4, 3, 2, 1, 4, 2, 2, 4, 3, 0, 1, 2, 2, 3, 1, 3, 3, 0, 3, 2, 4, 3, 3, 3, 3, 1, 0, 3, 0, 4, 2, 0, 4, 1, 1, 4, 4, 0, 0, 4, 1, 0, 1, 0, 0, 2, 4, 4, 4, 3, 1, 4, 1, 3, 0, 4, 2, 3, 1, 0, 4, 2, 0, 0, 1, 2, 4, 1, 4, 1, 3, 3, 2, 1, 0, 4, 2, 1, 3, 3, 1, 4, 1, 3, 2, 4, 0, 1, 2, 4, 1, 2, 3, 0, 3, 1, 0, 4, 3, 4, 2, 2, 4, 3, 3, 3, 3, 3, 0, 0, 2, 3, 0, 3, 1, 3, 0, 1, 2, 3, 0, 1, 4, 1, 0, 2, 2, 4, 3, 4, 4, 1, 2, 3, 2, 1, 2, 3, 0, 0, 3, 4, 4, 1, 2, 0, 0, 3, 0, 4, 1, 2, 0, 1, 0, 2, 3, 2, 2, 1, 0, 1, 4, 3, 1, 2, 0, 4, 2, 4, 3, 4, 0, 3, 2, 1, 0, 4, 0, 2, 4, 1, 3, 2, 1, 3, 0, 4, 4, 3, 0, 4, 1, 2, 4, 1, 0, 1, 1, 0, 0, 1, 2, 4, 2, 4, 3, 0, 3, 1, 3, 2, 0, 0, 0, 1, 3, 2, 4, 1, 4, 3, 0, 0, 0, 1, 3, 1, 4, 0, 3, 3, 2, 2, 0, 1, 4, 3, 2, 1, 4, 1, 4, 2, 4, 0, 0, 2, 2, 0, 3, 4, 2, 2, 3, 4, 0, 0, 3, 0, 1, 3, 4, 0, 4, 3] pubkeycol473 = [4, 0, 3, 3, 2, 0, 0, 3, 1, 3, 0, 4, 0, 1, 0, 0, 4, 2, 2, 3, 0, 1, 1, 3, 4, 3, 3, 2, 1, 1, 3, 0, 3, 0, 0, 3, 4, 3, 3, 3, 0, 2, 4, 3, 2, 1, 3, 0, 1, 0, 2, 4, 3, 0, 4, 3, 3, 4, 1, 3, 4, 0, 2, 4, 0, 2, 3, 3, 3, 3, 0, 2, 1, 3, 3, 2, 2, 4, 1, 1, 3, 3, 4, 4, 0, 0, 1, 4, 0, 2, 4, 4, 4, 3, 2, 1, 4, 2, 2, 1, 4, 4, 3, 3, 0, 2, 4, 3, 1, 2, 1, 4, 1, 2, 2, 0, 4, 1, 1, 0, 1, 4, 4, 0, 2, 2, 1, 0, 4, 4, 4, 0, 3, 3, 4, 0, 3, 3, 2, 2, 4, 1, 2, 2, 0, 3, 1, 3, 0, 3, 1, 2, 2, 0, 2, 3, 0, 3, 1, 1, 3, 1, 4, 3, 4, 2, 4, 4, 3, 1, 0, 1, 3, 0, 2, 4, 4, 0, 0, 3, 1, 3, 2, 2, 4, 1, 2, 2, 4, 2, 1, 3, 3, 3, 4, 2, 1, 3, 2, 4, 4, 1, 2, 1, 2, 4, 1, 4, 4, 4, 4, 0, 0, 2, 3, 2, 1, 0, 2, 2, 2, 4, 0, 1, 1, 2, 2, 1, 3, 0, 0, 1, 0, 2, 4, 4, 4, 1, 3, 2, 2, 2, 3, 1, 2, 4, 1, 2, 1, 3, 2, 1, 2, 0, 1, 2, 1, 3, 3, 3, 1, 4, 4, 3, 0, 4, 3, 2, 4, 4, 1, 1, 3, 1, 1, 1, 3, 2, 3, 4, 1, 1, 3, 2, 3, 2, 3, 2, 2, 0, 4, 3, 3, 2, 4, 2, 2, 3, 3, 2, 0, 4, 3, 2, 1, 3, 4, 1, 4, 3, 0, 3, 1, 3, 3, 1, 1, 0, 1, 0] pubkeycol474 = [0, 0, 4, 3, 1, 2, 1, 2, 4, 3, 1, 3, 4, 0, 4, 2, 0, 3, 2, 2, 3, 0, 0, 3, 2, 1, 1, 1, 4, 4, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 4, 3, 3, 4, 3, 2, 0, 1, 2, 3, 4, 3, 4, 0, 1, 0, 3, 1, 3, 0, 3, 1, 0, 3, 3, 1, 2, 3, 4, 3, 4, 1, 4, 4, 0, 1, 0, 4, 0, 1, 1, 3, 0, 0, 4, 0, 1, 0, 1, 3, 3, 3, 3, 2, 4, 2, 1, 0, 2, 3, 3, 2, 1, 3, 3, 2, 0, 4, 3, 3, 0, 2, 3, 3, 3, 4, 4, 0, 3, 0, 4, 1, 4, 1, 4, 3, 0, 2, 1, 3, 2, 4, 4, 1, 2, 3, 3, 3, 2, 4, 4, 4, 4, 1, 2, 3, 0, 4, 0, 2, 0, 4, 0, 4, 1, 2, 4, 1, 3, 4, 4, 4, 2, 1, 4, 4, 1, 0, 2, 3, 2, 0, 2, 0, 4, 1, 3, 3, 4, 0, 3, 0, 2, 2, 4, 3, 0, 1, 3, 4, 4, 0, 4, 4, 4, 4, 1, 2, 0, 1, 4, 3, 4, 2, 4, 3, 0, 2, 0, 0, 2, 0, 0, 3, 3, 2, 2, 1, 3, 2, 3, 4, 4, 2, 0, 1, 4, 2, 2, 0, 4, 3, 0, 4, 4, 2, 3, 3, 4, 4, 2, 1, 1, 4, 3, 2, 0, 3, 0, 2, 4, 0, 2, 0, 0, 0, 0, 2, 3, 1, 2, 4, 2, 0, 3, 1, 0, 2, 4, 2, 2, 0, 1, 1, 1, 0, 1, 3, 4, 3, 2, 3, 3, 4, 4, 1, 1, 2, 0, 3, 2, 2, 2, 3, 1, 4, 0, 4, 4, 3, 0, 1, 1, 0, 0, 3, 3, 3, 2, 2, 1, 3, 0, 3, 3, 4, 1, 1, 2] pubkeycol475 = [1, 1, 2, 3, 0, 0, 3, 0, 1, 2, 3, 2, 3, 4, 1, 4, 0, 2, 3, 0, 2, 3, 3, 2, 2, 4, 0, 1, 3, 1, 0, 3, 4, 3, 1, 4, 1, 3, 3, 1, 3, 0, 0, 3, 1, 3, 0, 2, 2, 2, 0, 0, 2, 1, 4, 2, 0, 3, 1, 2, 1, 4, 2, 4, 4, 3, 4, 3, 4, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 4, 2, 3, 2, 0, 1, 3, 2, 0, 2, 3, 4, 3, 2, 1, 2, 3, 4, 2, 0, 0, 0, 1, 4, 3, 2, 3, 0, 2, 2, 3, 4, 1, 0, 3, 2, 3, 0, 4, 4, 0, 4, 4, 1, 0, 3, 1, 3, 3, 0, 0, 0, 3, 4, 1, 1, 0, 4, 0, 1, 0, 0, 2, 1, 4, 0, 2, 1, 3, 1, 3, 1, 3, 4, 0, 1, 1, 2, 2, 0, 4, 0, 3, 1, 1, 4, 3, 0, 4, 3, 4, 1, 2, 2, 2, 3, 0, 2, 3, 2, 4, 1, 2, 4, 2, 4, 0, 4, 1, 2, 2, 3, 2, 3, 2, 3, 2, 0, 3, 2, 1, 2, 4, 3, 2, 2, 2, 4, 4, 4, 3, 4, 1, 0, 3, 0, 3, 2, 1, 2, 1, 3, 4, 1, 0, 0, 1, 0, 2, 0, 3, 2, 2, 3, 3, 4, 0, 2, 2, 2, 0, 4, 1, 0, 4, 2, 4, 0, 2, 1, 4, 0, 0, 3, 2, 4, 0, 0, 0, 4, 3, 3, 4, 1, 2, 3, 0, 2, 4, 4, 0, 0, 0, 4, 4, 0, 4, 4, 2, 2, 4, 3, 3, 4, 3, 3, 3, 0, 4, 2, 3, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 3, 0, 0, 2, 4, 4, 0, 1, 0, 0, 4, 4, 3, 0, 3, 4, 3, 1] pubkeycol476 = [2, 4, 0, 1, 1, 0, 0, 4, 3, 1, 2, 2, 4, 3, 2, 1, 4, 0, 1, 3, 1, 0, 3, 1, 0, 0, 3, 1, 2, 2, 0, 3, 3, 4, 1, 2, 1, 0, 1, 4, 1, 1, 1, 1, 3, 0, 4, 0, 4, 0, 3, 4, 0, 1, 2, 3, 2, 0, 4, 1, 4, 4, 3, 2, 1, 4, 1, 1, 0, 1, 3, 0, 0, 3, 1, 0, 2, 0, 4, 3, 1, 4, 2, 1, 1, 0, 3, 0, 4, 0, 4, 1, 4, 3, 4, 4, 1, 3, 4, 3, 2, 2, 0, 2, 4, 2, 4, 2, 2, 1, 1, 3, 1, 1, 2, 3, 1, 1, 4, 0, 1, 2, 3, 1, 1, 0, 2, 1, 0, 2, 2, 4, 1, 0, 2, 3, 1, 1, 3, 0, 4, 0, 4, 2, 3, 0, 3, 2, 1, 4, 0, 3, 3, 0, 3, 0, 4, 0, 4, 0, 4, 2, 3, 4, 4, 4, 4, 3, 1, 3, 1, 4, 4, 2, 1, 1, 4, 2, 4, 3, 0, 3, 3, 1, 4, 3, 1, 0, 2, 2, 2, 3, 2, 2, 0, 4, 1, 2, 3, 0, 1, 2, 4, 0, 4, 3, 1, 0, 4, 0, 2, 2, 3, 3, 0, 1, 0, 4, 4, 1, 3, 4, 2, 1, 0, 4, 0, 2, 1, 1, 1, 2, 3, 1, 2, 1, 0, 4, 4, 2, 0, 3, 3, 3, 2, 0, 2, 1, 2, 3, 0, 0, 2, 0, 2, 4, 2, 2, 1, 3, 3, 2, 0, 3, 2, 3, 3, 4, 2, 1, 0, 1, 0, 4, 2, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 4, 2, 4, 2, 3, 4, 4, 0, 1, 3, 2, 1, 3, 4, 3, 4, 1, 4, 0, 1, 4, 1, 4, 2, 0, 3, 4, 4, 1, 1, 3, 2, 1] pubkeycol477 = [3, 0, 2, 1, 2, 0, 0, 4, 4, 2, 2, 1, 4, 4, 2, 0, 1, 4, 2, 3, 4, 4, 3, 2, 0, 0, 0, 4, 4, 1, 4, 2, 4, 3, 0, 0, 0, 2, 0, 3, 2, 0, 3, 4, 0, 4, 0, 4, 4, 4, 1, 2, 2, 4, 1, 4, 4, 2, 3, 4, 3, 0, 4, 4, 3, 2, 1, 3, 1, 0, 3, 2, 4, 3, 0, 0, 2, 1, 3, 0, 3, 4, 0, 1, 4, 4, 4, 0, 2, 4, 3, 1, 1, 1, 0, 4, 1, 3, 1, 4, 4, 1, 3, 3, 2, 1, 4, 4, 3, 2, 4, 3, 4, 0, 0, 0, 2, 0, 3, 0, 1, 0, 1, 2, 3, 1, 3, 1, 3, 1, 0, 1, 4, 3, 2, 1, 2, 1, 2, 2, 2, 4, 1, 0, 0, 3, 1, 1, 3, 3, 4, 0, 4, 1, 3, 3, 3, 0, 3, 4, 2, 0, 3, 1, 3, 0, 2, 2, 1, 1, 0, 1, 4, 2, 4, 3, 3, 1, 1, 4, 0, 1, 0, 0, 2, 0, 3, 4, 1, 3, 4, 1, 0, 2, 2, 4, 2, 4, 1, 1, 0, 4, 3, 0, 0, 0, 3, 4, 2, 1, 1, 2, 4, 2, 0, 1, 3, 2, 2, 2, 3, 0, 4, 1, 3, 4, 1, 1, 2, 1, 2, 4, 1, 4, 2, 2, 1, 4, 4, 2, 3, 1, 3, 1, 0, 2, 2, 1, 3, 2, 3, 0, 0, 1, 2, 4, 2, 0, 0, 3, 1, 3, 3, 4, 4, 4, 3, 3, 4, 4, 2, 0, 2, 3, 0, 0, 2, 3, 4, 3, 0, 3, 0, 3, 0, 0, 2, 1, 3, 3, 2, 4, 4, 0, 0, 1, 0, 4, 2, 3, 1, 1, 2, 1, 0, 3, 1, 2, 1, 2, 4, 4, 2, 3, 3, 1, 4, 2, 2, 1] pubkeycol478 = [3, 1, 1, 0, 2, 0, 1, 0, 4, 2, 4, 4, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 1, 3, 4, 1, 0, 0, 2, 1, 0, 3, 1, 3, 4, 2, 3, 1, 4, 0, 0, 4, 1, 1, 1, 2, 4, 2, 1, 3, 0, 1, 4, 4, 2, 4, 1, 4, 3, 0, 3, 3, 0, 2, 0, 4, 1, 0, 2, 4, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 4, 4, 0, 0, 4, 3, 2, 4, 4, 4, 1, 3, 3, 3, 4, 4, 2, 2, 0, 4, 0, 0, 2, 0, 4, 2, 2, 4, 3, 0, 3, 4, 1, 4, 4, 3, 4, 1, 1, 3, 2, 4, 3, 1, 1, 3, 0, 0, 0, 1, 0, 4, 3, 4, 2, 2, 4, 3, 1, 0, 4, 2, 2, 2, 4, 3, 4, 4, 3, 4, 2, 3, 1, 2, 1, 0, 3, 1, 3, 3, 2, 0, 0, 2, 4, 1, 3, 2, 3, 2, 2, 1, 2, 3, 4, 0, 0, 3, 0, 1, 3, 4, 4, 3, 2, 4, 3, 3, 1, 2, 1, 0, 4, 3, 2, 0, 0, 0, 2, 1, 1, 0, 0, 4, 3, 0, 4, 2, 0, 0, 1, 4, 0, 0, 0, 0, 1, 4, 4, 3, 4, 4, 0, 0, 0, 1, 4, 1, 3, 3, 2, 1, 4, 1, 4, 0, 3, 0, 1, 2, 2, 1, 0, 0, 4, 3, 2, 0, 0, 4, 1, 1, 4, 1, 2, 4, 0, 0, 3, 0, 3, 0, 2, 2, 1, 3, 3, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 3, 4, 2, 2, 4, 0, 0, 1, 1, 0, 2, 1, 0, 1, 4, 0, 2, 2, 0, 3, 3, 4, 2, 2, 3, 2, 3, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol479 = [2, 3, 3, 3, 2, 4, 4, 3, 4, 1, 0, 2, 1, 3, 4, 3, 3, 2, 1, 3, 4, 0, 1, 4, 4, 3, 2, 2, 4, 0, 3, 1, 4, 4, 3, 4, 4, 4, 0, 2, 3, 0, 0, 3, 0, 4, 3, 4, 4, 4, 3, 4, 1, 2, 1, 3, 3, 1, 2, 0, 2, 4, 4, 0, 0, 0, 0, 3, 0, 2, 0, 3, 1, 4, 1, 0, 1, 0, 2, 1, 4, 4, 1, 1, 4, 4, 0, 3, 0, 0, 0, 3, 3, 1, 0, 2, 4, 1, 4, 1, 3, 3, 3, 3, 3, 1, 0, 4, 0, 4, 1, 0, 1, 4, 4, 2, 4, 4, 1, 1, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 0, 4, 1, 2, 3, 0, 0, 2, 3, 0, 3, 2, 4, 2, 3, 4, 3, 2, 1, 1, 2, 2, 0, 4, 2, 0, 2, 1, 4, 4, 2, 3, 3, 3, 4, 2, 0, 3, 1, 1, 3, 4, 0, 3, 2, 4, 1, 3, 3, 4, 3, 3, 0, 4, 4, 2, 2, 3, 0, 1, 0, 4, 4, 3, 4, 0, 2, 1, 2, 1, 0, 2, 1, 2, 4, 4, 4, 0, 4, 4, 2, 2, 0, 2, 1, 3, 4, 3, 4, 1, 3, 3, 2, 1, 0, 0, 2, 3, 2, 2, 3, 3, 2, 3, 3, 4, 2, 3, 2, 0, 1, 2, 4, 3, 0, 2, 2, 4, 1, 1, 3, 1, 4, 3, 3, 1, 1, 1, 0, 3, 2, 1, 2, 4, 2, 1, 1, 3, 4, 4, 4, 4, 2, 4, 2, 3, 4, 4, 2, 2, 4, 0, 3, 1, 0, 1, 3, 4, 1, 2, 1, 4, 1, 4, 3, 1, 1, 0, 2, 3, 1, 4, 1, 3, 4, 4, 1, 2, 4, 0, 2, 3, 1, 2, 3, 4, 1, 2, 0, 3] pubkeycol480 = [3, 1, 1, 2, 0, 3, 3, 1, 0, 3, 1, 4, 1, 4, 2, 3, 1, 4, 3, 0, 3, 2, 4, 3, 1, 3, 3, 4, 0, 0, 0, 0, 2, 3, 3, 2, 3, 3, 2, 4, 3, 3, 3, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 1, 4, 3, 0, 1, 4, 2, 0, 2, 0, 1, 0, 2, 2, 0, 3, 0, 4, 2, 3, 1, 3, 2, 1, 3, 0, 1, 4, 3, 3, 0, 2, 3, 0, 1, 1, 1, 3, 1, 3, 3, 2, 1, 2, 3, 1, 0, 1, 1, 3, 2, 2, 2, 2, 4, 1, 3, 1, 4, 3, 1, 0, 4, 3, 4, 1, 4, 1, 0, 0, 2, 0, 2, 4, 3, 2, 0, 4, 0, 3, 1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 1, 0, 0, 1, 2, 4, 4, 0, 1, 2, 4, 3, 0, 0, 0, 4, 3, 4, 3, 1, 0, 4, 0, 2, 3, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 3, 1, 1, 1, 2, 2, 3, 3, 1, 3, 1, 2, 2, 0, 1, 0, 0, 1, 1, 3, 2, 3, 1, 0, 1, 4, 2, 4, 4, 3, 4, 3, 1, 4, 0, 2, 0, 1, 4, 1, 2, 3, 1, 2, 4, 3, 3, 0, 4, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 0, 3, 4, 3, 3, 1, 4, 3, 2, 1, 0, 0, 4, 4, 1, 3, 0, 3, 4, 3, 2, 4, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 3, 1, 1, 3, 3, 2, 1, 0, 1, 3, 1, 4, 0, 2, 0, 0, 4, 0, 2, 2, 0, 0, 1, 3, 4, 0, 0, 0, 2, 1, 2, 0, 4, 1, 3, 0, 1, 2, 3, 3, 1, 2, 2, 4, 2, 0] pubkeycol481 = [4, 2, 1, 4, 1, 2, 2, 0, 3, 4, 1, 2, 3, 0, 4, 2, 0, 1, 1, 4, 2, 3, 4, 3, 4, 4, 4, 3, 4, 2, 2, 4, 4, 3, 3, 4, 3, 1, 4, 2, 0, 2, 1, 2, 1, 4, 4, 2, 3, 0, 1, 2, 1, 2, 0, 1, 1, 1, 3, 4, 3, 2, 2, 4, 0, 1, 3, 3, 2, 3, 1, 2, 1, 3, 4, 3, 4, 2, 2, 0, 3, 1, 0, 0, 1, 3, 2, 1, 4, 1, 1, 3, 2, 1, 0, 1, 1, 1, 3, 4, 2, 4, 4, 3, 1, 4, 0, 2, 0, 4, 2, 1, 0, 1, 4, 2, 2, 1, 0, 0, 3, 0, 0, 4, 1, 1, 2, 1, 2, 0, 4, 0, 0, 0, 3, 3, 3, 3, 4, 4, 3, 4, 4, 1, 4, 3, 3, 1, 1, 3, 1, 2, 4, 2, 4, 2, 2, 3, 3, 4, 2, 0, 4, 3, 3, 0, 1, 1, 1, 1, 4, 1, 1, 4, 3, 4, 3, 1, 3, 2, 1, 2, 2, 3, 1, 1, 0, 4, 0, 1, 0, 0, 3, 0, 1, 1, 3, 2, 3, 3, 1, 4, 0, 1, 4, 0, 1, 4, 2, 3, 4, 1, 2, 0, 3, 1, 1, 2, 4, 3, 2, 4, 0, 0, 4, 4, 3, 3, 0, 4, 4, 1, 1, 2, 0, 4, 4, 2, 3, 0, 1, 0, 1, 0, 4, 0, 4, 0, 1, 0, 3, 0, 2, 1, 3, 2, 1, 1, 1, 1, 4, 2, 1, 4, 4, 0, 0, 4, 0, 4, 3, 3, 1, 0, 1, 3, 4, 2, 1, 4, 2, 1, 0, 2, 2, 4, 1, 2, 2, 4, 1, 4, 2, 3, 0, 1, 0, 3, 1, 1, 1, 4, 4, 0, 3, 3, 1, 3, 2, 0, 4, 3, 1, 2, 2, 2, 4, 0, 2, 3] pubkeycol482 = [3, 0, 2, 3, 4, 4, 4, 1, 4, 1, 2, 4, 3, 1, 0, 2, 4, 0, 2, 2, 3, 0, 1, 2, 3, 2, 3, 1, 1, 4, 4, 1, 0, 1, 0, 0, 0, 2, 1, 4, 0, 4, 1, 3, 0, 3, 0, 4, 0, 0, 2, 3, 0, 1, 0, 2, 3, 1, 3, 0, 2, 1, 0, 3, 0, 2, 4, 0, 3, 0, 0, 4, 4, 2, 2, 2, 4, 4, 0, 4, 2, 1, 1, 0, 1, 4, 0, 0, 4, 4, 0, 1, 1, 2, 0, 4, 0, 2, 3, 1, 1, 4, 0, 0, 3, 4, 4, 2, 3, 2, 2, 2, 4, 2, 1, 1, 3, 1, 1, 4, 1, 2, 1, 2, 3, 0, 0, 1, 4, 4, 4, 4, 3, 1, 0, 3, 3, 4, 4, 0, 3, 4, 2, 0, 4, 3, 3, 1, 2, 2, 1, 0, 3, 4, 0, 4, 4, 4, 2, 2, 2, 2, 1, 4, 2, 4, 2, 2, 4, 2, 4, 2, 3, 4, 0, 4, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 2, 3, 1, 0, 3, 4, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 4, 4, 4, 1, 4, 0, 2, 4, 0, 0, 2, 1, 0, 2, 1, 0, 1, 4, 0, 2, 3, 0, 2, 4, 3, 3, 3, 0, 0, 2, 4, 1, 4, 1, 4, 3, 3, 1, 0, 4, 4, 2, 2, 0, 4, 3, 3, 3, 1, 4, 0, 4, 1, 2, 0, 1, 2, 1, 2, 3, 4, 0, 0, 4, 2, 0, 0, 4, 0, 2, 4, 3, 2, 0, 2, 3, 4, 2, 1, 3, 1, 1, 0, 4, 3, 3, 3, 1, 0, 3, 0, 0, 2, 4, 2, 4, 3, 2, 1, 3, 0, 2, 1, 3, 1, 2, 2, 4, 1, 2, 1, 0, 0, 3] pubkeycol483 = [2, 4, 2, 0, 1, 4, 1, 1, 2, 2, 3, 1, 3, 0, 3, 2, 3, 3, 0, 4, 1, 1, 0, 1, 0, 0, 1, 4, 4, 0, 2, 4, 3, 4, 2, 3, 1, 4, 3, 0, 0, 0, 0, 2, 2, 3, 3, 4, 1, 4, 1, 1, 0, 3, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 4, 4, 3, 1, 4, 4, 2, 2, 2, 0, 1, 4, 3, 4, 0, 2, 0, 0, 2, 0, 0, 1, 3, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 4, 4, 3, 2, 2, 3, 1, 4, 3, 1, 3, 2, 0, 4, 3, 0, 1, 0, 2, 3, 4, 3, 4, 0, 0, 3, 4, 1, 2, 1, 3, 1, 1, 2, 1, 2, 4, 2, 2, 1, 0, 2, 4, 3, 0, 1, 1, 3, 4, 2, 1, 4, 3, 0, 2, 4, 2, 1, 3, 4, 4, 3, 1, 3, 1, 4, 4, 2, 0, 1, 2, 2, 3, 3, 0, 3, 4, 4, 0, 1, 4, 3, 4, 0, 4, 3, 1, 0, 2, 3, 1, 3, 0, 1, 4, 2, 3, 3, 0, 4, 2, 3, 4, 0, 4, 2, 0, 2, 4, 1, 2, 3, 0, 2, 3, 4, 0, 1, 1, 4, 2, 2, 0, 3, 1, 2, 4, 0, 4, 2, 3, 2, 1, 3, 2, 2, 0, 1, 4, 1, 1, 3, 3, 1, 0, 1, 2, 4, 4, 1, 4, 4, 0, 1, 0, 2, 0, 3, 2, 2, 1, 0, 0, 4, 1, 2, 4, 3, 3, 4, 1, 1, 0, 1, 4, 0, 1, 4, 0, 2, 0, 1, 4, 0, 1, 0, 0, 3, 4, 4, 1, 1, 3, 1, 2, 3, 1, 2, 1, 1, 4, 0, 1, 0, 4, 2, 4, 4, 2, 0, 4, 4, 3, 3, 0, 2] pubkeycol484 = [3, 0, 4, 1, 4, 1, 2, 2, 3, 1, 0, 4, 0, 4, 0, 0, 1, 2, 0, 3, 1, 3, 1, 3, 0, 4, 4, 0, 2, 2, 3, 2, 0, 3, 4, 2, 4, 0, 1, 2, 3, 2, 3, 0, 4, 4, 1, 1, 3, 4, 3, 1, 4, 4, 2, 2, 4, 4, 4, 1, 1, 0, 4, 3, 3, 3, 1, 2, 4, 2, 0, 3, 1, 1, 4, 0, 1, 1, 2, 1, 3, 4, 4, 3, 1, 2, 3, 2, 0, 3, 2, 2, 4, 1, 1, 0, 3, 4, 0, 4, 0, 0, 0, 1, 4, 0, 2, 1, 3, 3, 1, 4, 1, 1, 4, 0, 4, 0, 4, 3, 0, 1, 1, 4, 0, 2, 0, 1, 1, 1, 1, 1, 0, 3, 4, 2, 1, 0, 3, 0, 1, 3, 1, 2, 2, 1, 2, 0, 0, 4, 3, 4, 3, 0, 1, 3, 4, 3, 1, 3, 2, 3, 4, 3, 0, 2, 1, 2, 2, 2, 4, 2, 2, 1, 3, 2, 4, 4, 3, 4, 2, 3, 4, 3, 2, 3, 0, 1, 4, 1, 2, 4, 4, 1, 0, 2, 0, 3, 4, 0, 0, 3, 0, 0, 1, 0, 0, 3, 3, 2, 1, 3, 0, 4, 0, 0, 2, 4, 1, 0, 0, 4, 3, 1, 1, 2, 0, 3, 2, 2, 2, 0, 4, 4, 4, 2, 1, 1, 0, 4, 2, 0, 0, 3, 4, 0, 1, 2, 4, 0, 4, 1, 3, 2, 0, 3, 4, 4, 3, 0, 1, 0, 2, 3, 0, 4, 1, 1, 4, 1, 4, 2, 3, 1, 4, 4, 1, 4, 4, 3, 3, 0, 3, 3, 0, 1, 1, 4, 3, 2, 1, 4, 4, 0, 2, 0, 4, 4, 4, 1, 4, 4, 4, 3, 2, 2, 1, 3, 1, 4, 1, 2, 2, 3, 4, 3, 0, 2, 0, 2] pubkeycol485 = [1, 3, 0, 1, 1, 0, 4, 0, 4, 4, 3, 0, 0, 2, 1, 0, 2, 1, 0, 3, 3, 2, 2, 2, 3, 0, 1, 2, 3, 2, 2, 2, 1, 4, 0, 2, 4, 3, 4, 4, 3, 1, 4, 1, 3, 2, 1, 1, 3, 2, 1, 0, 0, 3, 0, 1, 1, 4, 0, 3, 2, 4, 4, 4, 3, 4, 1, 3, 2, 4, 2, 3, 0, 1, 3, 1, 4, 3, 3, 0, 1, 2, 4, 1, 2, 1, 4, 2, 2, 4, 2, 2, 0, 2, 3, 1, 0, 3, 1, 2, 4, 4, 1, 2, 2, 3, 1, 2, 4, 3, 3, 0, 1, 0, 2, 2, 4, 2, 4, 1, 3, 4, 4, 3, 1, 4, 0, 1, 1, 2, 2, 4, 3, 1, 1, 2, 4, 1, 0, 0, 0, 0, 1, 4, 3, 4, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 3, 4, 4, 3, 4, 4, 4, 4, 2, 1, 3, 0, 4, 4, 3, 1, 4, 1, 3, 3, 0, 0, 4, 3, 0, 0, 0, 4, 1, 1, 0, 4, 3, 1, 3, 2, 4, 2, 4, 2, 0, 3, 4, 1, 4, 0, 1, 0, 1, 3, 2, 1, 2, 4, 3, 4, 2, 4, 3, 0, 0, 2, 3, 3, 1, 2, 2, 4, 4, 4, 3, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 2, 4, 2, 0, 3, 4, 3, 0, 2, 4, 2, 2, 0, 3, 1, 0, 3, 1, 1, 2, 3, 4, 3, 0, 1, 0, 3, 0, 2, 0, 0, 4, 4, 0, 4, 3, 1, 1, 4, 2, 1, 2, 2, 0, 3, 0, 4, 4, 1, 3, 3, 1, 2, 1, 0, 3, 1, 2, 2, 0, 0, 3, 1, 1, 4, 1, 1, 0, 2, 4, 1, 4, 4, 1, 4, 4, 3, 2, 3, 1, 3] pubkeycol486 = [2, 2, 0, 3, 0, 0, 1, 4, 4, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 2, 1, 0, 2, 4, 0, 0, 2, 1, 0, 1, 3, 0, 2, 3, 1, 4, 1, 2, 3, 3, 4, 2, 1, 1, 0, 3, 1, 3, 3, 3, 1, 0, 4, 4, 0, 4, 0, 4, 4, 3, 4, 3, 4, 1, 0, 1, 0, 3, 4, 0, 0, 0, 3, 4, 4, 4, 1, 0, 0, 1, 2, 4, 2, 3, 3, 1, 2, 1, 4, 1, 3, 0, 0, 1, 1, 4, 2, 3, 2, 2, 2, 0, 2, 3, 4, 3, 3, 2, 3, 2, 3, 4, 4, 0, 4, 1, 3, 1, 4, 1, 4, 0, 3, 2, 4, 4, 1, 1, 3, 2, 1, 1, 1, 4, 4, 4, 4, 0, 3, 2, 2, 4, 3, 3, 1, 3, 1, 0, 4, 4, 2, 4, 1, 0, 1, 3, 4, 4, 2, 0, 0, 0, 3, 2, 2, 3, 1, 1, 2, 3, 4, 4, 4, 4, 0, 2, 3, 0, 2, 1, 3, 2, 3, 4, 2, 2, 4, 0, 4, 2, 0, 3, 3, 3, 1, 4, 1, 0, 1, 3, 3, 1, 2, 0, 3, 1, 1, 2, 2, 4, 2, 0, 0, 3, 0, 0, 4, 1, 2, 3, 4, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 4, 2, 3, 3, 4, 3, 3, 2, 3, 2, 4, 2, 1, 2, 0, 1, 4, 2, 2, 1, 4, 0, 2, 2, 3, 2, 1, 3, 0, 4, 3, 2, 0, 2, 3, 4, 0, 0, 4, 0, 1, 4, 1, 4, 4, 1, 0, 3, 3, 2, 4, 2, 1, 1, 2, 1, 0, 2, 4, 2, 3, 0, 1, 3, 3, 1, 3, 2, 2, 0, 2, 0, 3, 4, 4, 4, 2, 2, 1, 2, 3, 1, 4, 2, 1, 3, 0, 4, 3] pubkeycol487 = [1, 1, 3, 0, 0, 0, 0, 4, 2, 2, 0, 0, 1, 1, 4, 0, 3, 2, 1, 1, 1, 0, 1, 4, 1, 3, 0, 0, 4, 1, 2, 0, 3, 2, 3, 1, 0, 4, 1, 1, 3, 2, 2, 0, 0, 2, 1, 4, 0, 2, 1, 1, 0, 2, 2, 2, 0, 3, 1, 4, 1, 1, 3, 1, 0, 1, 0, 0, 1, 0, 3, 0, 0, 4, 1, 4, 0, 0, 0, 0, 3, 1, 1, 4, 0, 1, 3, 4, 3, 4, 2, 0, 0, 4, 3, 0, 4, 2, 2, 4, 2, 1, 0, 4, 2, 0, 0, 0, 1, 1, 1, 1, 2, 3, 0, 3, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 2, 0, 3, 4, 0, 3, 4, 0, 0, 4, 0, 3, 0, 2, 2, 4, 2, 2, 0, 2, 4, 0, 1, 4, 1, 4, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 3, 0, 0, 3, 2, 1, 3, 1, 2, 3, 4, 3, 3, 3, 1, 1, 4, 3, 1, 1, 2, 3, 4, 1, 0, 2, 0, 3, 0, 2, 1, 1, 0, 2, 4, 3, 1, 0, 4, 4, 1, 4, 3, 0, 4, 2, 0, 1, 4, 2, 1, 1, 3, 3, 3, 4, 1, 2, 3, 2, 3, 4, 4, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 3, 2, 1, 0, 3, 2, 0, 1, 1, 0, 0, 3, 0, 2, 2, 4, 3, 2, 0, 3, 1, 4, 2, 3, 4, 2, 2, 1, 4, 4, 2, 1, 4, 4, 3, 2, 3, 1, 0, 1, 1, 2, 4, 0, 3, 2, 2, 3, 0, 0, 4, 0, 3, 4, 3, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 2, 3, 2, 1, 1, 1, 4, 0, 1, 3, 0, 3, 1] pubkeycol488 = [0, 4, 3, 0, 3, 1, 4, 3, 2, 3, 4, 1, 0, 4, 0, 3, 4, 4, 4, 0, 2, 3, 0, 4, 2, 4, 4, 4, 4, 3, 4, 1, 0, 4, 1, 0, 0, 4, 1, 3, 0, 3, 4, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 4, 3, 2, 0, 1, 2, 3, 2, 2, 3, 4, 0, 1, 2, 0, 0, 1, 3, 4, 3, 2, 3, 3, 3, 0, 1, 4, 4, 1, 1, 4, 0, 3, 2, 4, 2, 1, 4, 1, 1, 4, 4, 3, 3, 1, 4, 2, 3, 2, 3, 3, 0, 0, 2, 0, 3, 3, 0, 2, 4, 0, 2, 0, 1, 1, 0, 3, 2, 0, 1, 1, 3, 1, 3, 1, 0, 0, 2, 4, 0, 0, 0, 3, 1, 0, 2, 2, 0, 4, 1, 0, 4, 1, 3, 3, 1, 0, 1, 0, 2, 2, 1, 0, 4, 4, 2, 2, 1, 0, 3, 4, 4, 4, 2, 2, 2, 0, 1, 2, 3, 3, 1, 1, 0, 3, 0, 4, 0, 1, 4, 2, 1, 0, 2, 1, 1, 0, 2, 3, 0, 1, 4, 0, 0, 1, 2, 1, 1, 4, 4, 1, 0, 3, 2, 1, 3, 4, 1, 1, 2, 4, 2, 4, 4, 4, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 4, 4, 4, 3, 4, 3, 2, 0, 1, 1, 2, 0, 1, 0, 0, 4, 4, 3, 2, 1, 4, 1, 1, 4, 3, 4, 0, 0, 0, 0, 4, 3, 0, 0, 1, 2, 4, 0, 1, 0, 3, 4, 4, 2, 0, 2, 2, 4, 4, 4, 0, 0, 0, 3, 2, 0, 3, 4, 3, 4, 1, 4, 3, 3, 4, 4, 3, 3, 1, 0, 2, 0, 0, 1, 1, 3, 4, 2, 1, 4, 3, 1, 2, 4, 1, 4, 2, 4, 3] pubkeycol489 = [0, 4, 2, 0, 4, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 3, 1, 0, 0, 1, 1, 3, 4, 2, 0, 2, 2, 2, 2, 4, 0, 2, 1, 3, 4, 3, 0, 3, 4, 3, 0, 0, 0, 0, 3, 1, 0, 1, 1, 2, 3, 3, 2, 1, 4, 0, 4, 4, 1, 2, 4, 4, 2, 3, 4, 2, 4, 3, 4, 0, 3, 2, 3, 4, 0, 0, 1, 1, 1, 3, 2, 2, 0, 3, 2, 2, 2, 3, 3, 3, 3, 4, 2, 0, 0, 1, 4, 2, 1, 1, 3, 3, 0, 3, 4, 2, 4, 0, 2, 0, 1, 2, 3, 2, 1, 1, 4, 4, 2, 4, 4, 3, 2, 2, 1, 3, 4, 0, 1, 0, 3, 2, 3, 4, 2, 1, 4, 4, 3, 4, 4, 2, 0, 2, 1, 4, 0, 1, 0, 4, 1, 0, 1, 0, 3, 4, 1, 1, 1, 1, 2, 4, 2, 3, 3, 1, 3, 2, 1, 1, 0, 3, 4, 3, 4, 2, 3, 1, 1, 1, 0, 4, 0, 1, 1, 3, 2, 3, 1, 0, 2, 0, 4, 1, 3, 2, 3, 3, 0, 2, 0, 1, 0, 2, 0, 3, 0, 1, 4, 2, 0, 2, 2, 0, 1, 2, 1, 2, 3, 0, 0, 2, 1, 1, 3, 1, 2, 4, 2, 2, 0, 3, 0, 2, 3, 1, 3, 4, 2, 2, 4, 3, 2, 0, 2, 3, 4, 4, 3, 3, 0, 0, 2, 1, 3, 3, 1, 3, 1, 1, 4, 0, 3, 3, 1, 4, 4, 2, 4, 4, 4, 3, 2, 4, 4, 4, 1, 0, 0, 4, 0, 2, 2, 0, 4, 0, 1, 4, 3, 4, 0, 2, 1, 2, 0, 1, 4, 2, 2, 0, 0, 1, 4, 2, 3, 1, 1, 4, 3, 0, 4, 3, 1, 0, 4, 3, 4, 0, 0] pubkeycol490 = [2, 2, 1, 3, 0, 3, 4, 0, 1, 3, 1, 0, 3, 2, 3, 2, 2, 0, 3, 1, 4, 1, 2, 1, 4, 4, 4, 2, 4, 2, 1, 3, 3, 4, 1, 2, 2, 4, 1, 3, 1, 0, 3, 4, 4, 4, 3, 0, 4, 2, 3, 3, 4, 1, 2, 1, 0, 2, 1, 2, 2, 4, 0, 1, 1, 2, 3, 2, 0, 1, 3, 3, 2, 3, 3, 1, 2, 4, 4, 3, 1, 3, 2, 4, 4, 0, 2, 4, 3, 4, 4, 1, 4, 2, 3, 4, 0, 0, 1, 3, 1, 2, 4, 2, 1, 0, 0, 3, 1, 4, 3, 2, 0, 3, 0, 3, 1, 4, 0, 3, 4, 4, 2, 2, 2, 4, 0, 0, 0, 2, 4, 3, 0, 1, 1, 0, 2, 3, 3, 4, 1, 4, 3, 3, 0, 3, 4, 2, 3, 1, 2, 3, 2, 2, 1, 2, 3, 0, 3, 0, 1, 0, 4, 1, 1, 3, 0, 4, 0, 0, 2, 2, 2, 2, 1, 3, 1, 4, 0, 2, 3, 2, 1, 4, 3, 0, 2, 1, 4, 2, 4, 1, 4, 1, 2, 3, 3, 4, 0, 1, 0, 2, 0, 3, 4, 0, 2, 0, 4, 1, 4, 3, 3, 1, 4, 4, 1, 3, 1, 0, 2, 3, 1, 3, 3, 2, 3, 3, 3, 1, 0, 2, 0, 4, 3, 1, 4, 1, 3, 3, 2, 2, 3, 1, 4, 0, 1, 4, 3, 4, 2, 1, 2, 0, 2, 1, 2, 2, 1, 4, 2, 3, 3, 0, 3, 4, 3, 4, 3, 3, 2, 0, 3, 3, 1, 0, 1, 3, 1, 2, 1, 3, 1, 4, 0, 1, 0, 2, 2, 4, 3, 2, 0, 3, 2, 3, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 4, 4, 4, 0, 2, 3, 2, 2, 3, 0, 0, 3] pubkeycol491 = [1, 0, 0, 2, 4, 3, 3, 1, 0, 2, 2, 2, 1, 4, 1, 0, 0, 2, 2, 3, 1, 2, 3, 1, 0, 3, 2, 2, 0, 4, 4, 3, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 3, 0, 3, 3, 3, 3, 1, 2, 2, 0, 0, 4, 2, 3, 2, 0, 0, 4, 1, 4, 1, 3, 0, 1, 2, 0, 3, 1, 3, 1, 1, 3, 3, 3, 2, 1, 2, 1, 3, 3, 3, 1, 1, 4, 3, 4, 2, 0, 2, 1, 4, 4, 0, 4, 1, 0, 1, 4, 3, 2, 2, 1, 0, 3, 4, 2, 0, 0, 2, 2, 0, 2, 1, 3, 0, 1, 4, 4, 4, 1, 4, 3, 0, 3, 4, 1, 2, 4, 1, 4, 1, 4, 2, 3, 3, 1, 1, 3, 1, 3, 0, 1, 3, 4, 1, 0, 3, 4, 0, 3, 3, 4, 3, 2, 0, 4, 2, 3, 4, 1, 2, 0, 2, 2, 0, 1, 2, 3, 0, 3, 1, 0, 3, 0, 4, 0, 4, 1, 4, 0, 4, 0, 0, 2, 1, 3, 3, 4, 0, 2, 2, 1, 1, 1, 4, 4, 3, 3, 1, 0, 0, 1, 4, 1, 0, 2, 1, 3, 2, 1, 1, 2, 3, 1, 3, 3, 1, 2, 2, 3, 0, 1, 0, 1, 4, 4, 3, 4, 0, 3, 0, 0, 3, 1, 2, 2, 1, 0, 2, 4, 1, 4, 3, 3, 0, 4, 3, 4, 2, 1, 1, 3, 2, 4, 2, 4, 0, 2, 2, 3, 2, 4, 2, 1, 4, 3, 2, 0, 0, 3, 2, 3, 2, 4, 0, 0, 0, 2, 4, 4, 2, 0, 3, 0, 1, 1, 0, 1, 4, 3, 3, 3, 3, 2, 2, 3, 4, 2, 4, 2, 4, 3, 3, 4, 4, 2, 4, 3, 2, 0, 4, 0, 3, 0, 1, 0, 2] pubkeycol492 = [1, 1, 0, 2, 2, 0, 1, 3, 3, 2, 2, 1, 3, 1, 4, 3, 0, 4, 3, 2, 2, 2, 4, 3, 1, 2, 0, 0, 0, 4, 3, 0, 4, 3, 4, 3, 0, 4, 1, 4, 4, 0, 2, 2, 4, 2, 0, 2, 0, 3, 4, 4, 3, 4, 4, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 4, 2, 2, 0, 4, 1, 2, 0, 3, 2, 0, 0, 1, 1, 1, 0, 3, 0, 2, 2, 1, 1, 1, 4, 3, 0, 0, 0, 4, 3, 3, 1, 1, 1, 2, 2, 0, 2, 0, 2, 3, 1, 2, 0, 0, 2, 1, 3, 3, 2, 2, 0, 4, 0, 2, 0, 3, 4, 1, 3, 0, 4, 3, 4, 4, 1, 4, 0, 3, 0, 0, 0, 4, 0, 2, 1, 4, 2, 3, 2, 4, 1, 0, 3, 1, 4, 0, 3, 4, 4, 3, 2, 3, 0, 0, 3, 1, 2, 0, 1, 1, 4, 1, 0, 1, 4, 0, 2, 1, 0, 3, 3, 1, 1, 1, 3, 0, 4, 1, 2, 3, 0, 0, 0, 3, 4, 1, 0, 4, 3, 4, 1, 3, 1, 3, 4, 2, 2, 4, 2, 4, 3, 4, 3, 0, 3, 4, 3, 3, 4, 2, 3, 1, 2, 3, 1, 0, 0, 0, 2, 0, 3, 3, 4, 2, 3, 1, 1, 4, 1, 0, 4, 0, 3, 3, 1, 4, 0, 0, 4, 2, 3, 0, 3, 3, 3, 0, 2, 3, 0, 0, 1, 2, 1, 3, 0, 0, 4, 0, 0, 2, 3, 2, 1, 3, 0, 3, 2, 2, 3, 0, 1, 2, 1, 3, 4, 1, 3, 2, 0, 3, 4, 4, 0, 1, 2, 2, 2, 3, 2, 2, 2, 3, 4, 1, 3, 4, 0, 2, 4, 4, 1, 4, 2, 2, 0, 0, 2, 4, 0, 2, 1, 4] pubkeycol493 = [0, 0, 2, 4, 3, 4, 3, 1, 2, 0, 3, 3, 1, 4, 4, 3, 1, 2, 0, 1, 1, 2, 2, 4, 0, 3, 2, 2, 1, 3, 3, 2, 0, 2, 3, 3, 0, 2, 1, 0, 0, 4, 1, 4, 2, 4, 0, 1, 1, 2, 0, 3, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 3, 4, 1, 1, 0, 3, 1, 1, 2, 2, 1, 3, 2, 4, 0, 2, 2, 0, 3, 2, 1, 3, 0, 2, 1, 3, 2, 4, 3, 4, 2, 3, 0, 2, 4, 4, 1, 4, 0, 3, 1, 1, 0, 0, 2, 2, 3, 2, 2, 4, 4, 3, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 3, 0, 3, 2, 2, 0, 2, 1, 2, 1, 0, 2, 4, 2, 1, 1, 2, 2, 0, 2, 3, 0, 2, 4, 4, 2, 1, 3, 2, 1, 0, 3, 4, 4, 4, 0, 2, 4, 2, 3, 2, 3, 3, 0, 3, 0, 1, 2, 0, 0, 0, 0, 1, 0, 4, 1, 4, 3, 0, 2, 1, 2, 1, 2, 3, 1, 1, 2, 1, 0, 3, 1, 3, 4, 3, 3, 2, 1, 1, 1, 4, 3, 1, 4, 0, 1, 4, 1, 2, 0, 1, 3, 2, 4, 4, 0, 1, 1, 0, 1, 3, 2, 2, 4, 0, 1, 2, 3, 3, 3, 0, 4, 1, 2, 1, 2, 3, 2, 0, 2, 2, 2, 2, 1, 3, 2, 2, 1, 4, 4, 0, 3, 2, 4, 1, 3, 2, 1, 0, 3, 0, 3, 4, 4, 3, 3, 4, 0, 3, 2, 3, 1, 3, 3, 1, 1, 1, 3, 2, 4, 2, 2, 3, 4, 1, 3, 2, 0, 3, 3, 3, 3, 2, 3, 3, 4, 4, 4, 1, 4, 0, 2, 2, 4, 2, 0, 2, 2, 4, 3, 3, 1, 3, 0, 4] pubkeycol494 = [3, 4, 2, 1, 1, 1, 1, 0, 3, 2, 4, 0, 1, 3, 3, 1, 1, 2, 1, 1, 4, 3, 0, 4, 2, 1, 2, 0, 1, 1, 4, 2, 3, 1, 1, 0, 1, 0, 4, 3, 0, 1, 0, 3, 0, 0, 0, 3, 4, 1, 3, 0, 1, 0, 3, 0, 3, 2, 0, 3, 3, 0, 2, 3, 1, 1, 3, 3, 4, 3, 3, 4, 3, 4, 0, 0, 1, 4, 2, 2, 4, 1, 4, 4, 3, 4, 3, 1, 2, 1, 3, 1, 4, 1, 1, 0, 4, 4, 0, 1, 1, 2, 2, 3, 4, 0, 3, 2, 4, 2, 1, 2, 1, 3, 4, 3, 1, 4, 3, 4, 4, 0, 3, 3, 4, 4, 3, 1, 1, 4, 2, 1, 2, 0, 4, 1, 4, 0, 3, 4, 1, 4, 1, 3, 2, 4, 4, 2, 1, 1, 0, 0, 3, 2, 0, 0, 3, 1, 0, 0, 1, 2, 4, 1, 1, 4, 1, 3, 1, 4, 2, 1, 1, 3, 2, 2, 2, 4, 2, 3, 4, 4, 2, 3, 0, 0, 0, 0, 3, 3, 2, 3, 2, 4, 0, 1, 4, 0, 0, 2, 2, 1, 1, 1, 3, 0, 2, 2, 2, 1, 4, 2, 4, 1, 4, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 4, 3, 2, 3, 2, 1, 4, 3, 1, 3, 1, 0, 2, 1, 1, 2, 0, 1, 4, 1, 2, 0, 4, 1, 0, 0, 2, 0, 3, 1, 0, 3, 0, 0, 4, 3, 1, 2, 3, 0, 0, 1, 3, 3, 1, 3, 2, 1, 1, 3, 4, 0, 1, 4, 0, 2, 0, 3, 2, 2, 3, 1, 3, 2, 0, 0, 1, 2, 0, 0, 4, 4, 2, 0, 0, 2, 0, 1, 3, 3, 4, 1, 4, 0, 4, 1, 1, 2, 1, 2, 2, 3, 1, 1, 2] pubkeycol495 = [2, 1, 2, 3, 0, 0, 4, 3, 4, 3, 3, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 4, 1, 2, 0, 4, 1, 3, 1, 0, 3, 0, 2, 0, 0, 1, 3, 1, 2, 3, 4, 3, 4, 2, 3, 4, 3, 3, 0, 4, 1, 4, 2, 3, 2, 0, 4, 1, 1, 2, 1, 4, 2, 1, 1, 2, 3, 1, 1, 0, 3, 2, 0, 3, 1, 1, 3, 1, 2, 0, 0, 4, 1, 4, 4, 2, 4, 3, 4, 4, 0, 4, 1, 3, 3, 4, 4, 4, 2, 3, 1, 0, 1, 4, 4, 1, 1, 4, 2, 2, 3, 1, 4, 1, 2, 4, 2, 2, 0, 4, 1, 2, 2, 1, 0, 0, 3, 2, 1, 1, 2, 4, 2, 4, 0, 2, 3, 3, 3, 4, 1, 1, 3, 4, 3, 2, 2, 2, 2, 4, 3, 1, 4, 0, 1, 0, 1, 1, 4, 2, 0, 2, 0, 1, 0, 2, 3, 2, 1, 0, 4, 2, 0, 4, 1, 4, 0, 1, 1, 1, 1, 2, 3, 2, 3, 0, 2, 3, 3, 3, 1, 1, 1, 3, 3, 1, 4, 3, 4, 4, 1, 3, 4, 1, 2, 0, 3, 3, 1, 0, 1, 1, 3, 2, 0, 1, 3, 3, 2, 1, 1, 0, 3, 1, 0, 3, 3, 2, 1, 0, 0, 1, 2, 1, 3, 4, 3, 1, 2, 3, 2, 2, 0, 4, 0, 3, 2, 3, 1, 4, 0, 1, 1, 3, 3, 1, 3, 1, 1, 0, 1, 2, 0, 3, 2, 2, 2, 0, 4, 3, 4, 3, 1, 2, 4, 4, 3, 3, 4, 1, 3, 0, 1, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 4, 0, 0, 4, 3, 2, 1, 4, 0, 3, 2, 4, 1, 3, 2, 0, 0, 2, 0, 4, 1, 0, 4, 4] pubkeycol496 = [1, 3, 3, 0, 1, 2, 4, 3, 3, 2, 4, 4, 3, 4, 3, 1, 0, 4, 2, 2, 3, 0, 0, 1, 4, 2, 3, 4, 2, 1, 1, 3, 4, 1, 4, 2, 0, 1, 1, 2, 3, 0, 3, 4, 4, 4, 0, 3, 0, 4, 3, 2, 3, 1, 3, 0, 4, 0, 3, 2, 2, 2, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 4, 2, 4, 1, 1, 3, 4, 1, 4, 3, 1, 2, 4, 1, 4, 4, 0, 1, 1, 4, 4, 3, 3, 0, 2, 3, 0, 3, 4, 3, 3, 3, 3, 0, 1, 4, 2, 2, 4, 4, 4, 4, 1, 0, 4, 3, 1, 4, 3, 4, 3, 1, 3, 1, 2, 0, 2, 4, 0, 2, 3, 0, 1, 2, 4, 3, 3, 2, 2, 3, 0, 3, 3, 4, 2, 3, 1, 1, 2, 4, 2, 4, 1, 3, 2, 1, 3, 1, 4, 4, 4, 4, 4, 2, 1, 1, 4, 2, 2, 4, 1, 0, 1, 0, 4, 1, 3, 3, 1, 0, 3, 3, 4, 3, 3, 3, 2, 3, 2, 0, 0, 4, 1, 4, 4, 2, 3, 4, 1, 1, 4, 2, 2, 1, 2, 3, 1, 0, 2, 4, 1, 1, 2, 4, 3, 0, 0, 0, 0, 4, 0, 3, 1, 4, 1, 1, 2, 4, 1, 4, 3, 0, 1, 0, 2, 3, 4, 3, 4, 2, 3, 0, 2, 4, 1, 0, 1, 2, 1, 3, 0, 1, 1, 3, 0, 3, 1, 1, 3, 0, 3, 4, 4, 3, 3, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 2, 4, 3, 4, 0, 1, 1, 3, 0, 2, 3, 3, 0, 2, 4, 1, 4, 4, 0, 4, 2, 1, 4, 1, 2, 0, 4, 1, 2, 3, 0, 2, 3, 1, 0] pubkeycol497 = [3, 2, 4, 4, 4, 3, 1, 0, 4, 2, 0, 4, 3, 0, 0, 4, 4, 4, 0, 0, 3, 4, 2, 4, 3, 4, 1, 3, 2, 4, 1, 4, 4, 4, 2, 3, 0, 2, 4, 3, 4, 4, 4, 0, 2, 0, 4, 3, 4, 1, 4, 1, 1, 1, 3, 4, 4, 3, 0, 3, 1, 2, 2, 1, 1, 3, 3, 1, 3, 4, 0, 1, 4, 3, 2, 4, 2, 3, 4, 3, 0, 4, 3, 2, 4, 3, 3, 4, 4, 3, 0, 2, 0, 2, 1, 0, 2, 1, 0, 4, 4, 0, 4, 4, 3, 1, 0, 1, 3, 2, 0, 0, 2, 3, 1, 4, 2, 0, 0, 1, 4, 4, 0, 4, 2, 0, 2, 1, 4, 4, 0, 4, 4, 0, 2, 0, 0, 4, 2, 4, 2, 0, 0, 0, 3, 4, 0, 2, 1, 3, 3, 3, 2, 4, 0, 3, 4, 4, 3, 4, 4, 4, 1, 4, 0, 0, 2, 4, 3, 3, 0, 4, 3, 3, 0, 3, 1, 0, 4, 2, 1, 2, 0, 1, 3, 3, 1, 1, 0, 3, 0, 4, 0, 1, 4, 4, 4, 2, 0, 4, 3, 1, 3, 0, 3, 2, 4, 3, 3, 0, 1, 3, 2, 3, 2, 1, 0, 2, 4, 3, 3, 0, 4, 1, 2, 2, 4, 2, 4, 4, 0, 0, 1, 1, 3, 4, 1, 3, 4, 3, 2, 0, 2, 0, 0, 1, 4, 1, 2, 1, 1, 2, 0, 3, 4, 0, 2, 0, 2, 0, 1, 0, 2, 3, 4, 3, 0, 3, 1, 4, 1, 3, 4, 0, 1, 4, 3, 4, 0, 0, 0, 4, 2, 4, 1, 3, 1, 1, 4, 2, 1, 2, 3, 3, 0, 0, 1, 1, 0, 4, 3, 4, 3, 2, 1, 1, 3, 4, 0, 1, 4, 1, 1, 4, 0, 1, 0, 0, 0, 0] pubkeycol498 = [1, 3, 2, 1, 0, 0, 0, 2, 4, 4, 0, 1, 2, 2, 4, 3, 4, 3, 3, 3, 2, 1, 3, 0, 2, 2, 3, 2, 3, 1, 4, 0, 1, 4, 0, 3, 0, 4, 0, 0, 3, 1, 4, 0, 4, 3, 1, 1, 0, 0, 3, 0, 1, 2, 3, 2, 4, 0, 0, 2, 3, 2, 2, 3, 1, 2, 3, 0, 2, 1, 2, 4, 1, 3, 4, 4, 0, 2, 1, 0, 4, 2, 1, 3, 0, 1, 4, 1, 2, 2, 2, 2, 4, 1, 0, 3, 2, 4, 0, 1, 4, 0, 2, 1, 0, 1, 0, 1, 1, 1, 3, 1, 4, 3, 1, 3, 0, 1, 2, 3, 2, 3, 0, 3, 0, 4, 4, 4, 3, 0, 1, 4, 3, 4, 4, 2, 3, 3, 3, 0, 3, 1, 0, 0, 3, 1, 3, 3, 4, 2, 4, 2, 0, 2, 4, 1, 1, 4, 2, 2, 3, 3, 4, 3, 3, 2, 2, 2, 0, 4, 2, 4, 4, 3, 4, 1, 4, 1, 0, 3, 2, 0, 0, 1, 3, 3, 3, 4, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 1, 1, 2, 4, 3, 3, 2, 3, 2, 1, 2, 3, 3, 0, 4, 3, 0, 2, 2, 2, 0, 2, 3, 3, 0, 1, 2, 2, 2, 2, 0, 3, 2, 4, 1, 0, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 3, 3, 0, 2, 3, 1, 4, 1, 1, 1, 2, 1, 3, 4, 2, 2, 2, 4, 4, 3, 0, 2, 3, 2, 1, 1, 2, 3, 2, 2, 4, 2, 4, 4, 0, 4, 2, 3, 3, 3, 2, 2, 1, 1, 1, 3, 3, 3, 2, 4, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 4, 0, 1, 3, 2, 0, 4, 3, 2, 4, 0, 3, 1, 2, 2] pubkeycol499 = [0, 2, 1, 2, 1, 2, 4, 3, 3, 4, 0, 2, 0, 4, 1, 2, 3, 3, 2, 2, 1, 0, 0, 1, 0, 2, 1, 3, 1, 4, 0, 1, 2, 1, 2, 1, 4, 3, 2, 2, 0, 3, 4, 3, 3, 4, 0, 2, 1, 1, 4, 3, 0, 3, 0, 2, 4, 4, 4, 4, 1, 4, 4, 4, 2, 0, 4, 1, 1, 4, 1, 3, 1, 0, 2, 3, 3, 1, 2, 2, 0, 4, 0, 4, 1, 3, 2, 0, 3, 3, 4, 4, 3, 1, 3, 2, 4, 0, 0, 2, 3, 1, 0, 0, 4, 2, 0, 2, 0, 4, 1, 4, 1, 0, 2, 2, 3, 1, 3, 4, 0, 3, 4, 4, 3, 3, 0, 3, 4, 3, 1, 0, 2, 2, 3, 0, 4, 2, 2, 1, 3, 3, 1, 3, 1, 2, 2, 0, 3, 3, 2, 1, 1, 4, 4, 4, 1, 4, 0, 2, 2, 3, 4, 1, 3, 4, 4, 0, 4, 4, 1, 3, 2, 0, 3, 4, 0, 0, 4, 2, 0, 1, 4, 0, 2, 1, 0, 3, 1, 4, 4, 3, 2, 2, 1, 4, 3, 4, 0, 0, 1, 4, 4, 2, 2, 2, 2, 1, 3, 1, 2, 3, 4, 0, 0, 4, 3, 2, 0, 2, 3, 4, 1, 0, 0, 3, 4, 2, 1, 1, 4, 3, 4, 3, 1, 4, 0, 2, 1, 0, 0, 3, 1, 4, 1, 1, 4, 2, 0, 3, 3, 4, 4, 2, 0, 1, 3, 1, 4, 4, 2, 1, 1, 4, 2, 0, 1, 1, 0, 2, 2, 3, 0, 1, 1, 1, 0, 3, 4, 3, 3, 0, 3, 1, 3, 3, 1, 3, 2, 1, 2, 0, 1, 3, 1, 4, 3, 2, 3, 2, 3, 3, 4, 4, 0, 0, 0, 4, 1, 2, 1, 3, 3, 3, 2, 2, 3, 3, 4, 0] pubkeycol500 = [0, 2, 4, 4, 0, 2, 3, 3, 3, 1, 2, 1, 1, 4, 2, 2, 3, 0, 1, 2, 3, 3, 2, 0, 1, 1, 3, 2, 3, 2, 0, 0, 2, 3, 2, 1, 0, 3, 1, 4, 2, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 1, 4, 3, 0, 0, 0, 2, 1, 3, 4, 4, 4, 1, 2, 1, 4, 0, 1, 1, 1, 0, 2, 2, 2, 2, 3, 2, 4, 1, 0, 4, 0, 4, 2, 4, 4, 3, 3, 1, 1, 4, 1, 1, 0, 2, 3, 1, 3, 4, 3, 2, 2, 3, 1, 1, 4, 2, 3, 0, 3, 3, 2, 4, 0, 2, 1, 3, 3, 4, 4, 2, 1, 4, 4, 3, 1, 3, 4, 2, 4, 4, 1, 2, 2, 2, 0, 4, 0, 4, 3, 3, 3, 1, 4, 2, 2, 3, 3, 3, 1, 2, 3, 4, 1, 0, 2, 4, 2, 0, 0, 4, 0, 2, 0, 0, 4, 0, 4, 1, 1, 3, 0, 1, 4, 1, 4, 3, 1, 0, 4, 3, 4, 3, 1, 1, 0, 1, 1, 3, 3, 2, 0, 3, 3, 2, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 3, 2, 2, 1, 3, 3, 0, 3, 0, 3, 1, 4, 0, 0, 2, 1, 0, 4, 0, 0, 0, 1, 4, 0, 0, 3, 2, 1, 4, 4, 1, 1, 2, 3, 4, 0, 3, 0, 3, 0, 2, 1, 3, 4, 3, 1, 3, 1, 1, 1, 4, 4, 2, 1, 3, 1, 4, 1, 1, 2, 1, 1, 0, 3, 1, 4, 3, 3, 1, 1, 1, 0, 2, 1, 0, 4, 2, 1, 0, 4, 1, 3, 1, 4, 2, 3, 0, 3, 1, 2, 3, 2, 1, 0, 1, 0, 2, 0, 3, 1, 2, 1, 1, 0, 2, 4, 0, 4, 4, 3, 2, 4, 4] pubkeycol501 = [1, 1, 1, 3, 2, 2, 3, 4, 1, 0, 4, 2, 2, 0, 1, 4, 1, 0, 1, 1, 2, 0, 4, 2, 2, 2, 0, 1, 0, 4, 2, 4, 3, 2, 0, 3, 2, 4, 2, 3, 4, 0, 2, 3, 2, 0, 2, 1, 4, 3, 2, 1, 4, 4, 4, 4, 0, 1, 0, 2, 1, 2, 1, 2, 3, 3, 1, 3, 2, 4, 2, 2, 4, 1, 0, 4, 3, 3, 3, 0, 3, 1, 3, 4, 1, 2, 3, 0, 1, 2, 3, 2, 0, 0, 0, 3, 4, 0, 1, 3, 1, 1, 3, 2, 3, 3, 0, 2, 2, 2, 1, 1, 4, 0, 3, 0, 1, 0, 2, 4, 1, 3, 1, 1, 2, 2, 1, 2, 4, 4, 2, 3, 0, 1, 0, 0, 1, 4, 3, 0, 0, 4, 3, 4, 4, 1, 1, 2, 0, 1, 2, 0, 4, 3, 2, 2, 3, 1, 0, 2, 4, 1, 2, 3, 4, 3, 1, 4, 3, 4, 3, 0, 2, 3, 2, 1, 4, 2, 4, 0, 2, 0, 1, 0, 0, 3, 2, 4, 4, 4, 2, 1, 3, 3, 3, 4, 1, 1, 1, 1, 3, 4, 2, 4, 0, 0, 0, 1, 3, 2, 4, 2, 2, 4, 0, 0, 2, 2, 2, 3, 0, 1, 1, 2, 3, 4, 1, 2, 2, 2, 1, 4, 1, 2, 0, 4, 2, 3, 0, 4, 0, 3, 0, 1, 2, 0, 3, 1, 4, 3, 0, 0, 0, 0, 3, 2, 2, 1, 3, 0, 0, 3, 4, 1, 3, 1, 1, 3, 3, 2, 0, 0, 3, 4, 4, 4, 4, 2, 1, 0, 4, 0, 2, 4, 0, 3, 1, 0, 3, 3, 2, 4, 2, 2, 4, 4, 2, 0, 4, 1, 3, 2, 4, 4, 0, 0, 0, 4, 1, 1, 3, 0, 3, 2, 1, 3, 0, 1, 0, 2] pubkeycol502 = [2, 2, 0, 0, 3, 0, 1, 2, 2, 2, 0, 2, 2, 4, 4, 2, 2, 3, 4, 0, 1, 1, 0, 1, 1, 2, 2, 3, 1, 3, 1, 2, 2, 4, 0, 0, 0, 1, 1, 2, 4, 0, 0, 0, 0, 3, 0, 1, 2, 2, 0, 4, 0, 0, 0, 2, 2, 1, 4, 3, 2, 2, 4, 4, 1, 0, 0, 3, 3, 2, 0, 3, 2, 1, 2, 0, 3, 1, 4, 3, 1, 0, 0, 4, 0, 2, 4, 3, 0, 4, 2, 4, 4, 4, 4, 3, 3, 3, 0, 3, 0, 3, 0, 4, 4, 4, 2, 4, 0, 0, 4, 1, 3, 0, 4, 2, 3, 1, 3, 4, 3, 2, 2, 2, 3, 3, 4, 3, 3, 1, 2, 4, 1, 3, 1, 4, 4, 3, 1, 3, 2, 3, 0, 1, 3, 1, 1, 2, 3, 4, 0, 2, 0, 2, 2, 0, 0, 3, 1, 3, 2, 2, 4, 3, 2, 4, 0, 1, 0, 3, 2, 0, 1, 2, 0, 1, 3, 4, 2, 1, 3, 0, 2, 3, 2, 4, 1, 3, 3, 4, 4, 1, 2, 2, 4, 0, 3, 0, 1, 3, 2, 3, 2, 0, 3, 3, 2, 2, 3, 3, 0, 1, 0, 4, 1, 1, 4, 1, 0, 3, 1, 4, 4, 2, 1, 2, 2, 1, 1, 3, 3, 0, 0, 2, 3, 0, 2, 0, 4, 1, 1, 0, 0, 4, 4, 3, 0, 0, 0, 2, 4, 1, 0, 0, 0, 2, 0, 2, 4, 1, 4, 0, 2, 0, 1, 1, 2, 4, 2, 0, 1, 0, 4, 1, 4, 1, 0, 0, 1, 4, 2, 1, 3, 2, 0, 2, 2, 0, 4, 0, 0, 1, 1, 2, 4, 3, 4, 0, 1, 4, 1, 1, 4, 1, 2, 1, 2, 4, 2, 4, 3, 3, 2, 0, 0, 1, 4, 2, 2, 4] pubkeycol503 = [4, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 3, 1, 1, 2, 0, 4, 1, 3, 2, 0, 1, 0, 1, 4, 4, 2, 0, 3, 3, 4, 4, 0, 4, 0, 4, 3, 4, 1, 0, 3, 1, 2, 0, 4, 3, 1, 1, 0, 1, 4, 2, 3, 2, 0, 2, 3, 3, 0, 1, 0, 0, 3, 1, 4, 0, 1, 1, 2, 3, 2, 4, 4, 1, 0, 4, 0, 4, 4, 4, 0, 2, 3, 1, 3, 4, 0, 0, 4, 1, 0, 0, 1, 1, 4, 0, 4, 1, 4, 3, 0, 3, 0, 1, 4, 3, 0, 3, 4, 0, 1, 0, 4, 2, 0, 3, 0, 2, 4, 4, 1, 1, 3, 4, 0, 1, 3, 0, 1, 1, 3, 0, 2, 1, 3, 1, 4, 0, 0, 1, 0, 3, 2, 1, 0, 1, 2, 1, 0, 1, 0, 4, 0, 0, 1, 2, 1, 4, 1, 3, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 3, 2, 4, 4, 3, 2, 0, 4, 1, 3, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 4, 2, 0, 2, 3, 2, 3, 2, 4, 0, 4, 2, 4, 2, 2, 1, 3, 3, 0, 0, 0, 1, 3, 3, 3, 4, 2, 3, 1, 1, 2, 3, 3, 1, 3, 4, 1, 4, 0, 3, 4, 2, 0, 1, 1, 3, 0, 4, 1, 2, 1, 3, 4, 4, 1, 0, 4, 4, 2, 2, 3, 0, 2, 3, 4, 1, 1, 0, 1, 1, 3, 3, 0, 0, 3, 2, 1, 4, 2, 0, 2, 4, 2, 0, 0, 1, 1, 2, 3, 4, 3, 2, 2, 3, 4, 4, 0, 4, 1, 4, 0, 1, 1, 3, 1, 2, 0, 4, 3, 1, 0, 1, 2, 2, 3, 0, 3, 2, 4, 1, 2, 2, 2, 3, 3, 2, 1] pubkeycol504 = [4, 0, 2, 0, 3, 3, 2, 1, 4, 3, 1, 2, 3, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 3, 2, 0, 2, 1, 3, 0, 0, 4, 1, 4, 1, 1, 2, 3, 4, 0, 0, 4, 1, 3, 2, 2, 3, 3, 0, 2, 0, 4, 2, 0, 1, 3, 2, 0, 1, 0, 0, 1, 0, 0, 1, 4, 2, 0, 2, 2, 4, 0, 3, 3, 3, 2, 4, 0, 1, 2, 2, 4, 0, 4, 1, 1, 4, 3, 3, 0, 4, 3, 2, 0, 1, 4, 3, 0, 4, 3, 4, 2, 0, 3, 1, 0, 0, 3, 0, 0, 0, 2, 3, 0, 3, 3, 4, 0, 4, 0, 3, 2, 1, 3, 1, 4, 0, 2, 0, 1, 1, 1, 4, 0, 2, 0, 4, 4, 4, 2, 2, 3, 2, 4, 0, 4, 4, 4, 3, 3, 3, 1, 2, 1, 1, 4, 0, 2, 1, 2, 3, 4, 2, 2, 1, 2, 1, 4, 1, 2, 1, 2, 3, 4, 2, 2, 4, 2, 2, 3, 4, 3, 2, 0, 4, 1, 3, 2, 2, 1, 0, 4, 0, 1, 4, 2, 3, 4, 2, 4, 4, 0, 0, 4, 2, 2, 3, 2, 0, 0, 0, 0, 4, 3, 4, 1, 3, 2, 0, 4, 0, 4, 3, 2, 3, 0, 1, 3, 0, 0, 0, 1, 2, 4, 0, 4, 1, 2, 1, 0, 4, 0, 4, 1, 3, 0, 0, 4, 4, 2, 4, 3, 2, 1, 4, 2, 0, 1, 2, 2, 3, 2, 4, 0, 3, 0, 1, 4, 1, 2, 0, 3, 4, 2, 2, 4, 1, 0, 4, 3, 1, 3, 4, 0, 2, 3, 0, 1, 1, 0, 1, 3, 2, 2, 4, 3, 0, 4, 3, 1, 1, 0, 2, 0, 1, 1, 2, 1, 3, 2, 3, 0, 4, 2, 1, 3, 1, 3, 1, 4] pubkeycol505 = [0, 1, 2, 1, 4, 1, 0, 4, 3, 0, 1, 2, 3, 2, 4, 1, 4, 3, 1, 3, 2, 1, 0, 3, 4, 2, 4, 2, 4, 3, 3, 4, 0, 0, 3, 0, 1, 4, 2, 1, 1, 0, 3, 1, 0, 2, 0, 1, 3, 3, 3, 0, 3, 4, 0, 2, 4, 0, 3, 1, 2, 0, 2, 4, 4, 2, 0, 1, 3, 0, 3, 1, 1, 2, 2, 2, 2, 3, 1, 2, 2, 0, 4, 2, 4, 3, 2, 1, 1, 0, 3, 0, 1, 3, 3, 1, 2, 4, 1, 1, 0, 2, 0, 2, 2, 3, 1, 1, 4, 4, 2, 4, 4, 3, 0, 2, 3, 0, 3, 3, 1, 2, 1, 2, 2, 0, 3, 2, 4, 1, 4, 0, 2, 3, 0, 0, 2, 4, 1, 3, 1, 2, 4, 2, 0, 0, 3, 1, 1, 1, 1, 2, 0, 2, 2, 4, 4, 1, 0, 3, 3, 3, 3, 1, 1, 2, 4, 3, 4, 4, 4, 2, 1, 1, 2, 2, 0, 2, 4, 0, 4, 3, 1, 4, 4, 2, 4, 0, 0, 1, 1, 3, 2, 0, 2, 0, 2, 3, 4, 4, 4, 0, 0, 3, 0, 2, 1, 4, 2, 4, 4, 1, 4, 1, 2, 0, 4, 0, 1, 3, 4, 1, 0, 1, 1, 4, 2, 1, 4, 1, 0, 1, 3, 4, 0, 4, 4, 0, 4, 2, 2, 3, 0, 1, 1, 3, 0, 1, 2, 4, 4, 0, 0, 0, 4, 0, 3, 2, 2, 2, 3, 0, 2, 4, 3, 3, 2, 1, 2, 4, 4, 4, 2, 3, 2, 1, 0, 2, 1, 3, 2, 3, 1, 2, 1, 3, 3, 3, 1, 4, 2, 3, 1, 3, 1, 2, 4, 2, 2, 2, 3, 2, 2, 3, 4, 3, 0, 0, 2, 3, 1, 0, 3, 2, 2, 0, 0, 3, 4, 4] pubkeycol506 = [4, 1, 3, 1, 0, 4, 4, 1, 3, 2, 2, 1, 1, 0, 1, 0, 4, 3, 3, 4, 2, 2, 4, 0, 3, 0, 4, 2, 3, 0, 1, 2, 1, 2, 0, 0, 3, 0, 1, 3, 1, 2, 1, 3, 4, 3, 4, 2, 4, 1, 3, 2, 1, 3, 1, 2, 3, 3, 1, 4, 1, 3, 0, 3, 4, 1, 4, 1, 0, 2, 4, 2, 0, 2, 3, 4, 3, 0, 4, 0, 0, 3, 3, 4, 3, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 4, 4, 4, 3, 3, 0, 1, 1, 3, 1, 1, 1, 0, 4, 0, 3, 0, 4, 2, 2, 1, 0, 3, 0, 4, 4, 3, 3, 3, 0, 1, 4, 3, 4, 2, 4, 0, 0, 4, 0, 1, 0, 3, 4, 0, 2, 2, 0, 2, 2, 0, 3, 4, 3, 0, 2, 0, 4, 1, 1, 1, 4, 2, 0, 3, 0, 1, 0, 4, 4, 1, 4, 0, 2, 0, 2, 0, 1, 0, 3, 4, 1, 4, 1, 2, 0, 4, 1, 1, 4, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 2, 1, 2, 1, 0, 4, 3, 3, 0, 3, 3, 4, 4, 2, 0, 4, 4, 3, 1, 2, 3, 0, 1, 4, 0, 1, 1, 1, 2, 3, 3, 1, 4, 1, 3, 1, 0, 0, 2, 3, 3, 2, 4, 2, 0, 4, 0, 4, 2, 0, 0, 2, 1, 2, 1, 4, 1, 3, 3, 0, 4, 4, 2, 0, 1, 2, 2, 3, 0, 1, 2, 3, 4, 1, 0, 0, 0, 1, 2, 4, 0, 2, 0, 2, 4, 3, 3, 3, 4, 2, 3, 0, 2, 3, 2, 4, 0, 1, 4, 1, 2, 4, 2, 2, 1, 2, 2, 4, 3, 4, 2, 0, 3, 2, 3, 4, 2, 3, 4, 2, 3, 1, 4] pubkeycol507 = [0, 2, 4, 2, 4, 1, 4, 1, 4, 1, 3, 1, 1, 0, 0, 3, 4, 2, 4, 3, 4, 3, 0, 4, 1, 3, 1, 2, 2, 1, 3, 1, 4, 0, 2, 1, 4, 1, 1, 4, 2, 4, 1, 4, 2, 1, 1, 0, 3, 3, 2, 4, 1, 0, 0, 2, 3, 1, 1, 0, 0, 2, 4, 4, 4, 1, 1, 3, 1, 0, 4, 2, 1, 1, 1, 0, 1, 0, 4, 2, 4, 2, 2, 3, 0, 2, 1, 2, 2, 0, 1, 4, 1, 3, 3, 2, 0, 0, 3, 2, 0, 0, 3, 4, 4, 2, 0, 3, 2, 2, 0, 4, 4, 1, 1, 2, 0, 4, 2, 2, 0, 4, 4, 4, 1, 3, 3, 4, 4, 3, 3, 3, 3, 1, 1, 1, 3, 0, 2, 4, 2, 1, 0, 1, 2, 4, 3, 0, 2, 1, 0, 2, 2, 1, 0, 0, 3, 1, 0, 3, 4, 4, 4, 4, 2, 1, 0, 2, 4, 4, 1, 2, 2, 1, 4, 2, 0, 2, 1, 3, 0, 0, 3, 0, 3, 4, 2, 1, 3, 4, 3, 0, 0, 0, 1, 1, 3, 4, 4, 4, 3, 3, 4, 0, 2, 1, 1, 0, 4, 1, 3, 4, 0, 4, 2, 3, 3, 4, 4, 2, 3, 4, 4, 3, 1, 3, 4, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 3, 2, 4, 4, 1, 2, 4, 2, 2, 2, 3, 2, 0, 0, 1, 3, 1, 4, 0, 0, 3, 1, 4, 1, 4, 3, 2, 4, 2, 0, 2, 4, 0, 4, 0, 2, 3, 3, 1, 0, 4, 0, 3, 0, 3, 1, 0, 1, 3, 4, 2, 2, 2, 0, 4, 2, 3, 0, 3, 4, 1, 4, 1, 4, 1, 2, 3, 0, 1] pubkeycol508 = [3, 0, 2, 2, 2, 3, 0, 3, 4, 0, 2, 3, 2, 1, 3, 3, 3, 4, 0, 3, 0, 4, 1, 3, 3, 2, 0, 1, 4, 0, 4, 4, 3, 4, 0, 2, 1, 0, 4, 1, 1, 1, 2, 3, 1, 4, 0, 3, 2, 3, 4, 4, 0, 1, 1, 4, 4, 4, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 0, 3, 4, 3, 0, 2, 2, 4, 2, 0, 2, 1, 1, 0, 1, 2, 2, 4, 1, 1, 0, 2, 1, 4, 3, 4, 4, 0, 3, 4, 3, 2, 1, 0, 1, 3, 0, 0, 0, 4, 4, 1, 1, 4, 0, 1, 0, 4, 4, 0, 3, 2, 3, 0, 3, 1, 4, 2, 2, 3, 4, 0, 4, 4, 1, 4, 2, 2, 2, 0, 3, 3, 1, 3, 3, 3, 2, 3, 3, 1, 2, 0, 1, 0, 2, 2, 4, 3, 2, 1, 2, 4, 1, 1, 2, 1, 0, 3, 4, 0, 0, 1, 2, 3, 0, 4, 0, 4, 2, 3, 0, 0, 0, 4, 2, 2, 4, 1, 2, 2, 4, 2, 2, 0, 0, 3, 1, 3, 1, 4, 4, 1, 0, 0, 1, 2, 3, 0, 2, 3, 2, 2, 2, 4, 4, 0, 4, 4, 2, 0, 4, 4, 2, 3, 3, 0, 1, 1, 1, 4, 1, 3, 4, 1, 2, 1, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 4, 1, 4, 4, 2, 0, 1, 2, 4, 2, 3, 4, 4, 1, 4, 3, 3, 4, 0, 3, 2, 1, 2, 3, 2, 3, 3, 3, 0, 1, 2, 4, 3, 2, 2, 2, 2, 4, 1, 2, 2, 4, 3, 3, 1, 2, 2, 4, 0, 4, 0, 1, 1, 1, 4, 2, 1, 2, 0, 2, 0, 1, 0, 4, 4, 4, 1, 1, 2, 1] pubkeycol509 = [3, 0, 0, 3, 2, 3, 0, 4, 2, 1, 4, 0, 1, 1, 4, 1, 2, 4, 4, 2, 4, 1, 1, 0, 1, 0, 4, 2, 4, 0, 4, 1, 1, 3, 2, 1, 3, 0, 0, 4, 0, 1, 4, 1, 2, 4, 1, 2, 0, 4, 4, 0, 0, 1, 0, 4, 3, 3, 4, 2, 2, 3, 3, 0, 4, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 3, 1, 4, 3, 3, 2, 2, 3, 0, 3, 2, 1, 3, 1, 1, 0, 3, 2, 1, 2, 1, 4, 4, 2, 1, 1, 2, 0, 1, 4, 1, 0, 3, 1, 4, 1, 2, 0, 3, 2, 2, 0, 3, 1, 2, 4, 0, 4, 2, 1, 1, 0, 1, 0, 3, 0, 1, 2, 1, 4, 3, 3, 1, 1, 4, 1, 0, 4, 1, 2, 4, 3, 2, 0, 1, 4, 2, 3, 1, 0, 4, 0, 3, 0, 2, 0, 1, 2, 3, 4, 3, 4, 0, 2, 2, 0, 1, 2, 1, 4, 0, 1, 1, 2, 4, 0, 0, 2, 4, 1, 2, 4, 2, 3, 0, 3, 3, 4, 1, 4, 3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 0, 0, 3, 3, 3, 2, 0, 3, 0, 1, 4, 3, 3, 3, 2, 1, 2, 4, 4, 3, 1, 1, 4, 0, 3, 0, 4, 2, 0, 4, 0, 4, 3, 1, 2, 2, 2, 4, 3, 3, 3, 0, 2, 3, 0, 2, 3, 1, 4, 3, 3, 1, 3, 0, 0, 2, 4, 3, 4, 1, 4, 2, 2, 3, 4, 4, 0, 4, 4, 3, 4, 2, 3, 4, 1, 4, 4, 1, 4, 3, 0, 1, 3, 0, 3, 1, 2, 0, 0, 1, 1, 0, 3, 1, 3, 2, 3, 3, 4, 0, 1, 1, 4, 2, 2, 4, 1, 2, 2, 2, 4, 3, 4, 2, 3] pubkeycol510 = [3, 1, 0, 3, 1, 4, 3, 2, 3, 1, 2, 4, 3, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 3, 1, 1, 4, 0, 3, 4, 2, 1, 3, 3, 1, 0, 0, 3, 4, 1, 3, 1, 1, 3, 4, 0, 3, 4, 3, 2, 3, 3, 0, 4, 0, 3, 0, 4, 1, 4, 3, 0, 2, 1, 0, 1, 3, 2, 3, 1, 2, 3, 0, 0, 1, 2, 3, 0, 1, 3, 3, 3, 3, 3, 0, 1, 0, 4, 2, 0, 4, 4, 1, 2, 4, 4, 0, 2, 4, 3, 0, 4, 1, 4, 3, 1, 4, 3, 3, 4, 1, 4, 2, 0, 0, 0, 1, 1, 1, 0, 4, 1, 3, 3, 0, 3, 3, 4, 0, 3, 0, 4, 4, 3, 4, 2, 3, 0, 3, 4, 3, 2, 3, 1, 4, 1, 1, 4, 0, 3, 4, 3, 0, 4, 4, 2, 1, 4, 0, 3, 2, 3, 0, 0, 0, 3, 4, 0, 0, 0, 1, 1, 4, 2, 4, 0, 1, 4, 2, 2, 3, 3, 2, 1, 2, 3, 0, 4, 2, 4, 2, 2, 2, 3, 0, 2, 2, 3, 4, 4, 4, 2, 1, 4, 0, 4, 3, 4, 1, 1, 2, 3, 1, 1, 4, 1, 1, 3, 1, 4, 0, 2, 2, 2, 3, 4, 0, 4, 1, 3, 3, 4, 3, 1, 1, 2, 0, 0, 3, 1, 3, 3, 2, 1, 0, 3, 0, 1, 2, 0, 3, 2, 0, 2, 4, 4, 0, 2, 4, 3, 3, 4, 1, 4, 4, 3, 1, 4, 1, 4, 4, 1, 1, 4, 1, 4, 1, 2, 2, 4, 2, 4, 3, 3, 4, 1, 4, 2, 1, 0, 2, 0, 0, 4, 0, 4, 3, 3, 1, 0, 2, 3, 3, 1, 0, 1, 4, 3, 2, 3, 3, 1, 4, 0, 3, 3, 3, 0, 4, 3] pubkeycol511 = [0, 4, 3, 2, 3, 0, 0, 0, 2, 1, 4, 2, 1, 4, 1, 0, 4, 4, 4, 4, 1, 3, 3, 4, 3, 2, 3, 3, 1, 3, 1, 1, 4, 0, 1, 4, 2, 0, 2, 0, 4, 2, 2, 1, 2, 3, 0, 1, 3, 2, 4, 2, 1, 2, 1, 0, 3, 3, 1, 2, 4, 0, 3, 1, 1, 0, 3, 2, 0, 1, 3, 1, 0, 0, 0, 0, 3, 1, 4, 3, 1, 4, 1, 3, 2, 0, 1, 1, 4, 3, 3, 2, 2, 4, 0, 4, 1, 4, 3, 2, 3, 2, 1, 4, 1, 4, 1, 0, 4, 3, 2, 3, 3, 0, 4, 3, 2, 0, 4, 3, 3, 1, 3, 1, 2, 1, 0, 3, 2, 0, 0, 1, 4, 1, 0, 2, 3, 3, 1, 4, 1, 3, 2, 2, 3, 1, 3, 1, 4, 4, 1, 1, 1, 4, 2, 2, 3, 1, 4, 3, 4, 1, 0, 2, 1, 2, 2, 1, 2, 4, 0, 0, 4, 3, 3, 3, 2, 1, 2, 4, 3, 2, 4, 2, 3, 1, 4, 3, 3, 0, 2, 0, 2, 2, 3, 1, 0, 1, 1, 2, 1, 4, 2, 0, 3, 4, 1, 2, 1, 2, 0, 4, 2, 0, 1, 3, 2, 4, 1, 4, 2, 4, 3, 0, 3, 1, 1, 3, 2, 2, 1, 1, 2, 1, 3, 0, 3, 2, 2, 3, 0, 0, 3, 1, 0, 1, 2, 4, 3, 2, 1, 1, 2, 4, 2, 3, 3, 4, 4, 0, 3, 3, 1, 4, 4, 3, 2, 1, 0, 1, 0, 2, 0, 0, 3, 1, 3, 0, 0, 0, 0, 1, 0, 4, 2, 0, 4, 4, 0, 1, 3, 3, 2, 1, 3, 0, 2, 2, 3, 0, 4, 1, 1, 3, 4, 3, 2, 0, 1, 1, 3, 3, 0, 0, 0, 2, 4, 2, 4, 4] pubkeycol512 = [2, 2, 4, 3, 4, 2, 4, 1, 0, 3, 2, 4, 2, 2, 2, 1, 2, 3, 4, 4, 1, 2, 0, 3, 0, 4, 4, 1, 1, 4, 4, 0, 4, 3, 3, 3, 1, 2, 2, 1, 0, 3, 2, 3, 3, 0, 3, 2, 2, 0, 3, 2, 2, 2, 3, 0, 0, 4, 4, 1, 4, 0, 0, 1, 1, 4, 3, 4, 3, 2, 0, 2, 1, 2, 1, 1, 4, 2, 3, 0, 1, 0, 3, 4, 4, 1, 3, 2, 0, 2, 3, 0, 0, 4, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 4, 4, 1, 3, 1, 3, 4, 4, 3, 1, 4, 1, 1, 3, 0, 0, 3, 0, 4, 0, 1, 1, 3, 0, 0, 1, 3, 1, 0, 1, 3, 4, 0, 2, 1, 1, 2, 4, 1, 0, 0, 4, 4, 1, 2, 1, 4, 1, 1, 0, 4, 3, 2, 3, 3, 3, 4, 2, 0, 2, 2, 2, 0, 1, 4, 2, 4, 2, 2, 2, 0, 1, 0, 2, 1, 3, 2, 0, 3, 2, 4, 3, 3, 3, 0, 2, 4, 4, 1, 3, 1, 3, 0, 3, 4, 1, 2, 2, 0, 3, 1, 1, 4, 1, 3, 1, 0, 3, 0, 0, 1, 2, 3, 1, 1, 0, 1, 0, 4, 0, 4, 2, 3, 4, 4, 4, 1, 0, 0, 0, 1, 0, 4, 3, 2, 3, 3, 3, 4, 3, 0, 2, 4, 2, 2, 2, 3, 1, 0, 0, 2, 3, 0, 3, 3, 4, 0, 1, 0, 2, 4, 3, 3, 0, 4, 2, 3, 1, 4, 1, 3, 3, 4, 3, 0, 2, 4, 3, 3, 3, 2, 1, 4, 1, 0, 3, 0, 0, 3, 3, 2, 2, 0, 3, 4, 4, 1, 4, 4, 3, 0, 4, 0, 2, 2, 2, 1, 1, 3, 0, 1, 1, 4] pubkeycol513 = [4, 3, 0, 3, 4, 4, 2, 0, 4, 2, 4, 3, 2, 1, 1, 4, 3, 0, 4, 0, 3, 1, 3, 1, 2, 0, 3, 3, 4, 1, 3, 0, 4, 0, 2, 2, 3, 4, 3, 0, 4, 2, 0, 4, 1, 2, 2, 4, 4, 4, 0, 0, 2, 4, 4, 1, 1, 3, 4, 0, 2, 2, 1, 4, 2, 0, 0, 4, 2, 2, 3, 4, 3, 0, 1, 0, 0, 4, 4, 4, 3, 0, 1, 0, 3, 4, 1, 1, 0, 4, 3, 3, 2, 3, 4, 1, 2, 0, 4, 3, 4, 0, 2, 4, 3, 1, 1, 2, 2, 3, 4, 2, 0, 1, 0, 3, 0, 0, 4, 0, 2, 4, 0, 3, 1, 0, 4, 0, 0, 1, 2, 0, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 1, 1, 1, 1, 2, 2, 2, 4, 3, 1, 0, 1, 3, 2, 2, 2, 3, 2, 0, 4, 4, 2, 3, 2, 0, 3, 0, 0, 4, 3, 2, 0, 0, 3, 0, 3, 0, 2, 0, 1, 1, 1, 3, 4, 4, 1, 4, 0, 0, 2, 0, 0, 0, 4, 4, 3, 4, 4, 2, 1, 2, 1, 0, 4, 0, 4, 4, 2, 0, 3, 0, 2, 0, 4, 3, 3, 4, 2, 4, 2, 2, 4, 2, 3, 4, 2, 1, 4, 0, 2, 1, 3, 2, 0, 2, 0, 2, 0, 3, 1, 0, 0, 1, 2, 4, 2, 1, 0, 1, 4, 3, 0, 3, 3, 1, 1, 3, 2, 2, 4, 3, 0, 0, 4, 0, 1, 0, 3, 1, 2, 0, 3, 3, 3, 3, 0, 0, 1, 4, 0, 4, 2, 1, 3, 4, 4, 4, 0, 3, 4, 2, 0, 4, 4, 0, 2, 0, 2, 4, 4, 4, 3, 0, 2, 2, 1, 1, 3, 0, 0, 4, 2, 4, 2] pubkeycol514 = [4, 1, 2, 0, 3, 2, 2, 0, 3, 4, 4, 3, 3, 1, 2, 4, 3, 1, 1, 2, 3, 1, 1, 3, 3, 4, 4, 3, 0, 0, 1, 0, 2, 4, 1, 2, 1, 2, 0, 0, 4, 4, 3, 0, 4, 0, 3, 4, 3, 0, 1, 4, 1, 2, 1, 2, 3, 0, 1, 2, 4, 1, 2, 4, 0, 3, 1, 2, 3, 1, 1, 3, 3, 3, 4, 4, 3, 2, 3, 4, 2, 3, 4, 3, 2, 1, 1, 0, 1, 1, 3, 1, 4, 2, 3, 2, 0, 2, 3, 4, 1, 1, 3, 3, 3, 3, 2, 4, 4, 1, 4, 0, 4, 4, 1, 2, 4, 2, 2, 3, 0, 2, 2, 2, 1, 2, 3, 0, 2, 4, 4, 0, 0, 1, 0, 3, 1, 4, 3, 3, 2, 0, 0, 0, 4, 3, 2, 0, 1, 2, 3, 0, 3, 1, 3, 0, 1, 1, 0, 4, 4, 0, 1, 1, 2, 3, 4, 4, 4, 3, 3, 0, 0, 0, 4, 1, 3, 2, 2, 3, 4, 0, 4, 0, 3, 0, 0, 4, 2, 2, 4, 0, 1, 0, 1, 4, 0, 0, 3, 4, 4, 1, 1, 2, 4, 4, 3, 1, 0, 3, 3, 2, 3, 1, 1, 2, 2, 4, 0, 3, 4, 3, 4, 0, 1, 3, 2, 3, 3, 0, 3, 3, 0, 4, 4, 3, 1, 4, 4, 0, 4, 2, 4, 1, 3, 2, 0, 4, 4, 2, 3, 2, 2, 4, 2, 4, 1, 3, 0, 3, 3, 1, 3, 3, 2, 0, 1, 0, 4, 3, 1, 4, 3, 3, 2, 3, 4, 2, 4, 4, 0, 1, 2, 4, 4, 0, 1, 3, 0, 3, 1, 0, 0, 2, 3, 1, 3, 3, 4, 4, 1, 2, 0, 0, 2, 4, 0, 3, 3, 4, 3, 1, 3, 2, 1, 4, 0, 1, 0, 4] pubkeycol515 = [4, 2, 4, 0, 0, 3, 2, 1, 2, 2, 2, 3, 3, 4, 3, 1, 1, 0, 4, 1, 3, 2, 4, 4, 1, 3, 1, 2, 3, 4, 0, 3, 2, 2, 3, 2, 3, 4, 3, 1, 4, 1, 3, 0, 2, 1, 4, 2, 3, 2, 1, 3, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 3, 0, 4, 1, 2, 3, 4, 3, 1, 3, 1, 2, 2, 0, 2, 2, 0, 1, 3, 0, 3, 3, 0, 4, 0, 2, 3, 0, 3, 1, 1, 2, 2, 1, 4, 4, 2, 4, 3, 3, 0, 0, 4, 2, 1, 2, 1, 1, 0, 4, 1, 4, 2, 0, 0, 0, 1, 1, 4, 4, 3, 1, 3, 2, 2, 0, 2, 3, 4, 4, 0, 3, 2, 4, 2, 2, 4, 3, 2, 4, 0, 4, 1, 3, 2, 4, 2, 2, 3, 1, 0, 4, 2, 1, 3, 4, 2, 2, 4, 4, 4, 3, 0, 4, 3, 3, 2, 2, 3, 0, 1, 2, 1, 3, 2, 4, 2, 1, 4, 3, 4, 0, 2, 3, 2, 1, 1, 1, 4, 1, 2, 2, 0, 3, 0, 4, 0, 1, 4, 4, 2, 4, 4, 2, 0, 3, 3, 1, 0, 1, 2, 3, 2, 4, 1, 2, 4, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 1, 2, 4, 1, 0, 4, 1, 2, 2, 0, 1, 0, 4, 2, 0, 1, 4, 1, 2, 1, 3, 4, 3, 2, 3, 4, 0, 1, 2, 0, 0, 3, 4, 1, 1, 2, 4, 2, 0, 2, 4, 1, 0, 4, 4, 0, 1, 4, 0, 4, 1, 3, 2, 3, 2, 0, 4, 0, 3, 3, 1, 2, 2, 2, 4, 4, 1, 4, 0, 1, 0, 3, 1, 3, 1, 2, 4, 4, 0, 3, 0, 3, 4, 1, 4, 1, 1, 3, 0, 2] pubkeycol516 = [4, 1, 0, 2, 4, 3, 2, 4, 0, 3, 4, 2, 2, 0, 4, 2, 1, 1, 0, 2, 4, 3, 1, 1, 1, 4, 3, 4, 0, 3, 2, 1, 3, 1, 2, 1, 4, 2, 4, 2, 2, 3, 4, 1, 0, 1, 1, 2, 0, 3, 1, 4, 3, 0, 1, 2, 0, 0, 2, 2, 0, 3, 2, 1, 3, 0, 4, 2, 0, 0, 4, 4, 0, 1, 4, 0, 0, 1, 0, 1, 1, 0, 0, 4, 3, 2, 3, 2, 2, 4, 0, 1, 0, 2, 3, 1, 1, 3, 2, 3, 4, 3, 3, 3, 3, 3, 4, 3, 1, 2, 2, 2, 1, 0, 3, 4, 0, 4, 0, 2, 1, 0, 0, 2, 0, 4, 4, 1, 4, 2, 0, 2, 4, 2, 4, 0, 0, 4, 2, 4, 2, 2, 1, 4, 2, 0, 2, 1, 2, 2, 3, 4, 2, 2, 0, 1, 4, 4, 4, 4, 0, 4, 3, 2, 1, 1, 1, 4, 1, 3, 2, 1, 2, 2, 1, 2, 1, 1, 2, 3, 3, 3, 0, 2, 0, 0, 4, 1, 4, 3, 1, 3, 0, 0, 4, 2, 0, 2, 2, 3, 3, 0, 4, 0, 3, 1, 2, 0, 2, 2, 2, 1, 3, 2, 0, 1, 2, 1, 1, 3, 3, 2, 1, 1, 1, 3, 3, 4, 2, 4, 3, 3, 1, 3, 1, 1, 2, 2, 4, 2, 4, 4, 0, 3, 2, 0, 4, 2, 1, 1, 2, 2, 1, 2, 1, 0, 3, 2, 1, 0, 0, 1, 3, 2, 1, 3, 0, 1, 0, 2, 1, 3, 4, 3, 4, 3, 3, 2, 1, 0, 0, 3, 2, 3, 4, 2, 3, 0, 2, 3, 0, 0, 0, 1, 4, 2, 4, 2, 1, 2, 0, 3, 2, 1, 2, 1, 2, 4, 1, 1, 1, 0, 1, 3, 0, 0, 3, 4, 3, 1] pubkeycol517 = [2, 1, 3, 2, 4, 1, 1, 3, 3, 1, 1, 2, 3, 4, 3, 3, 1, 2, 3, 0, 3, 0, 3, 2, 1, 0, 1, 3, 1, 4, 1, 3, 1, 0, 4, 4, 0, 2, 0, 1, 1, 3, 3, 2, 4, 3, 2, 0, 2, 0, 0, 1, 4, 1, 0, 3, 4, 4, 3, 1, 2, 0, 0, 0, 2, 4, 4, 0, 0, 2, 3, 1, 4, 3, 2, 0, 0, 1, 1, 4, 0, 2, 3, 3, 0, 4, 2, 3, 2, 3, 4, 4, 1, 3, 1, 4, 2, 3, 2, 3, 2, 4, 2, 4, 3, 0, 4, 2, 3, 0, 4, 3, 4, 0, 4, 2, 2, 2, 1, 4, 2, 2, 1, 3, 4, 3, 2, 4, 3, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 0, 2, 0, 1, 2, 3, 0, 4, 4, 1, 3, 3, 4, 4, 2, 0, 0, 2, 4, 0, 4, 0, 0, 0, 3, 4, 4, 0, 2, 4, 0, 1, 4, 3, 4, 0, 2, 4, 1, 4, 2, 1, 4, 0, 0, 2, 0, 3, 4, 3, 3, 2, 0, 2, 1, 3, 2, 3, 0, 2, 1, 2, 3, 0, 4, 3, 3, 3, 4, 4, 0, 3, 3, 4, 2, 2, 0, 1, 0, 4, 1, 3, 3, 2, 1, 0, 1, 4, 3, 1, 4, 0, 0, 4, 4, 4, 4, 0, 1, 2, 2, 2, 1, 4, 1, 3, 2, 3, 4, 4, 0, 2, 3, 4, 1, 1, 4, 0, 0, 3, 1, 3, 0, 2, 3, 3, 3, 4, 1, 0, 4, 2, 4, 3, 1, 0, 4, 0, 0, 0, 4, 2, 1, 4, 0, 4, 0, 2, 0, 2, 0, 2, 3, 2, 4, 3, 1, 4, 3, 0, 0, 1, 2, 2, 3, 0, 4, 1, 3, 2, 4, 3, 1, 3, 2, 2, 0, 1] pubkeycol518 = [0, 2, 2, 2, 2, 1, 3, 3, 3, 0, 1, 1, 0, 0, 3, 4, 2, 1, 1, 3, 2, 4, 4, 2, 4, 3, 3, 2, 4, 2, 0, 2, 3, 0, 0, 2, 0, 0, 1, 0, 2, 4, 4, 4, 3, 2, 1, 4, 2, 3, 4, 2, 3, 1, 0, 3, 3, 1, 2, 4, 1, 0, 0, 1, 1, 4, 1, 1, 1, 2, 4, 1, 2, 4, 1, 3, 1, 2, 1, 4, 0, 2, 3, 1, 3, 0, 1, 0, 4, 3, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 4, 4, 4, 0, 4, 0, 1, 0, 3, 4, 3, 0, 2, 4, 1, 0, 2, 2, 0, 2, 1, 4, 0, 0, 2, 0, 0, 3, 2, 1, 1, 1, 0, 4, 0, 2, 2, 3, 1, 2, 3, 1, 1, 4, 2, 0, 2, 4, 1, 0, 1, 0, 2, 3, 0, 0, 3, 2, 4, 3, 2, 1, 2, 1, 0, 0, 1, 0, 0, 4, 0, 1, 0, 2, 1, 4, 2, 1, 1, 1, 2, 3, 1, 3, 2, 0, 1, 3, 3, 0, 1, 3, 0, 2, 0, 4, 2, 1, 4, 1, 1, 3, 3, 1, 2, 4, 3, 4, 3, 3, 1, 3, 3, 1, 0, 0, 2, 3, 4, 3, 3, 1, 2, 3, 3, 2, 0, 4, 4, 2, 0, 1, 2, 4, 4, 1, 0, 4, 3, 0, 4, 4, 1, 2, 4, 2, 3, 4, 2, 3, 4, 0, 0, 0, 2, 1, 1, 4, 3, 4, 2, 0, 4, 3, 2, 4, 1, 4, 4, 3, 4, 4, 4, 2, 4, 2, 4, 3, 3, 0, 2, 4, 4, 1, 2, 3, 1, 1, 2, 4, 1, 1, 3, 0, 1, 1, 2, 4, 1, 0, 2, 0, 2, 1, 4, 3, 2, 2, 2, 2, 4] pubkeycol519 = [4, 4, 3, 4, 1, 2, 2, 3, 3, 3, 2, 2, 1, 0, 3, 1, 0, 2, 2, 3, 0, 1, 3, 2, 3, 3, 2, 4, 2, 0, 2, 2, 3, 3, 4, 2, 1, 0, 2, 2, 4, 3, 4, 4, 2, 0, 3, 3, 3, 1, 0, 3, 3, 2, 1, 0, 3, 3, 2, 2, 1, 2, 0, 4, 4, 4, 0, 0, 3, 3, 0, 2, 1, 2, 3, 1, 3, 2, 2, 4, 4, 4, 0, 0, 2, 3, 4, 2, 2, 0, 1, 0, 1, 4, 2, 4, 3, 2, 1, 3, 0, 3, 2, 4, 4, 1, 3, 2, 1, 1, 3, 4, 2, 3, 0, 2, 2, 2, 1, 4, 0, 2, 2, 0, 1, 0, 2, 0, 3, 2, 0, 4, 3, 0, 1, 1, 1, 3, 3, 1, 2, 4, 4, 0, 4, 3, 1, 0, 1, 3, 0, 2, 3, 3, 2, 3, 2, 2, 3, 4, 2, 4, 3, 1, 0, 0, 2, 3, 0, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 3, 2, 0, 0, 0, 3, 1, 0, 4, 4, 1, 1, 0, 3, 1, 2, 2, 4, 4, 2, 0, 3, 0, 4, 4, 4, 4, 1, 0, 3, 4, 4, 1, 2, 4, 1, 1, 3, 1, 0, 1, 0, 1, 3, 3, 1, 4, 4, 1, 4, 2, 0, 3, 3, 4, 3, 4, 2, 3, 2, 3, 0, 1, 4, 3, 2, 1, 3, 2, 3, 4, 1, 4, 0, 1, 4, 1, 3, 3, 3, 3, 3, 2, 1, 3, 3, 3, 4, 0, 2, 0, 2, 3, 0, 4, 3, 2, 0, 2, 3, 3, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 4, 1, 2, 1, 1, 0, 0, 3, 0, 2, 2, 0, 2, 2, 3, 4, 0, 1, 2, 4, 3, 1, 0, 0, 0, 1, 4] pubkeycol520 = [3, 1, 0, 4, 3, 3, 3, 3, 1, 2, 0, 3, 0, 0, 3, 4, 1, 3, 3, 3, 2, 2, 3, 0, 4, 1, 2, 0, 1, 0, 1, 4, 4, 4, 0, 1, 4, 3, 1, 3, 1, 4, 1, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 3, 0, 3, 4, 1, 3, 2, 2, 3, 2, 3, 4, 1, 2, 1, 1, 0, 4, 4, 2, 2, 1, 1, 4, 1, 1, 0, 1, 2, 0, 4, 0, 0, 3, 4, 2, 3, 1, 4, 0, 2, 1, 4, 3, 2, 4, 1, 3, 1, 1, 1, 0, 0, 0, 3, 3, 2, 1, 4, 3, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 4, 4, 4, 3, 1, 3, 0, 0, 2, 4, 1, 2, 0, 4, 2, 4, 1, 1, 2, 0, 1, 4, 3, 2, 0, 1, 3, 3, 2, 3, 1, 2, 2, 1, 1, 0, 3, 3, 2, 3, 2, 2, 4, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 4, 2, 4, 2, 2, 2, 0, 0, 0, 3, 2, 0, 1, 1, 3, 1, 4, 4, 0, 4, 3, 2, 0, 4, 1, 3, 1, 4, 4, 3, 3, 0, 0, 3, 2, 0, 1, 1, 0, 2, 2, 3, 4, 1, 4, 3, 3, 1, 2, 1, 3, 4, 0, 1, 1, 1, 4, 2, 2, 2, 3, 1, 1, 0, 2, 1, 4, 4, 1, 2, 4, 4, 2, 3, 1, 2, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 3, 3, 4, 3, 1, 3, 4, 1, 3, 4, 3, 3, 3, 2, 0, 4, 4, 1, 3, 3, 2, 3, 1, 0, 3, 4, 0, 3, 2, 3, 4, 0, 2, 3, 1, 4, 2, 4, 3, 1, 4, 2, 0, 4, 0, 3, 3, 4, 2, 1, 2, 3, 4, 3, 0, 4] pubkeycol521 = [0, 0, 0, 0, 1, 4, 1, 3, 4, 2, 2, 4, 2, 3, 0, 4, 4, 3, 4, 2, 3, 4, 2, 4, 2, 3, 2, 2, 1, 1, 4, 4, 4, 3, 1, 4, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 3, 4, 3, 3, 2, 2, 1, 0, 0, 3, 1, 2, 2, 0, 4, 0, 2, 4, 1, 1, 2, 4, 0, 1, 2, 4, 3, 3, 4, 4, 0, 1, 1, 0, 3, 4, 3, 1, 1, 2, 3, 0, 1, 0, 2, 4, 0, 0, 3, 3, 3, 3, 0, 3, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 4, 4, 4, 0, 2, 1, 3, 0, 0, 4, 4, 1, 0, 2, 3, 2, 1, 1, 4, 4, 3, 2, 1, 4, 4, 3, 4, 4, 4, 4, 4, 1, 2, 1, 1, 3, 0, 2, 0, 1, 3, 4, 4, 0, 3, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 4, 3, 3, 4, 3, 4, 0, 3, 0, 0, 0, 2, 1, 2, 1, 4, 0, 1, 2, 1, 3, 1, 4, 2, 1, 4, 1, 0, 1, 4, 0, 0, 4, 0, 2, 0, 3, 2, 0, 2, 1, 3, 4, 2, 1, 0, 0, 1, 2, 3, 1, 3, 0, 4, 4, 0, 2, 2, 0, 4, 0, 3, 2, 1, 2, 3, 4, 0, 1, 1, 3, 2, 2, 2, 2, 3, 0, 4, 0, 0, 3, 0, 2, 2, 1, 1, 1, 1, 2, 4, 2, 0, 0, 4, 2, 1, 4, 1, 3, 1, 4, 3, 0, 3, 3, 1, 4, 4, 4, 0, 2, 0, 4, 0, 3, 0, 0, 1, 2, 3, 1, 3, 4, 0, 0, 3, 3, 2, 4, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 3, 3, 1, 1, 3, 1, 0, 1, 4, 0] pubkeycol522 = [4, 2, 4, 2, 2, 0, 0, 4, 4, 0, 1, 0, 2, 4, 1, 2, 3, 0, 1, 1, 2, 2, 3, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 3, 3, 0, 4, 1, 2, 4, 0, 3, 1, 4, 1, 4, 1, 1, 4, 1, 4, 3, 3, 2, 3, 4, 1, 4, 0, 3, 2, 3, 3, 4, 1, 3, 3, 0, 2, 1, 2, 4, 0, 1, 4, 3, 3, 3, 3, 1, 4, 2, 1, 0, 2, 2, 0, 2, 4, 3, 0, 2, 0, 2, 2, 4, 4, 1, 3, 3, 4, 4, 4, 2, 3, 4, 2, 1, 0, 2, 4, 3, 4, 0, 2, 0, 4, 3, 3, 2, 1, 2, 0, 0, 4, 1, 1, 1, 4, 2, 1, 1, 3, 4, 4, 0, 2, 1, 3, 0, 4, 4, 1, 2, 2, 0, 3, 2, 1, 2, 3, 2, 3, 2, 3, 0, 4, 2, 2, 4, 2, 1, 2, 4, 2, 2, 0, 2, 2, 2, 0, 2, 0, 4, 0, 2, 3, 1, 1, 3, 1, 2, 0, 2, 4, 3, 0, 4, 2, 2, 2, 0, 3, 3, 0, 3, 4, 1, 1, 0, 3, 2, 3, 0, 2, 4, 4, 4, 0, 4, 4, 1, 2, 0, 4, 2, 2, 4, 3, 1, 3, 4, 2, 2, 3, 3, 1, 2, 3, 1, 2, 3, 2, 3, 2, 4, 4, 4, 0, 3, 0, 2, 3, 1, 4, 2, 4, 4, 1, 2, 3, 3, 2, 4, 1, 3, 0, 0, 1, 1, 1, 0, 4, 0, 0, 0, 1, 3, 1, 1, 2, 2, 1, 3, 0, 4, 1, 1, 3, 4, 3, 0, 3, 0, 0, 4, 1, 3, 1, 4, 3, 3, 4, 2, 1, 1, 4, 1, 0, 1, 2, 1, 0, 4, 2, 1, 1, 4, 4, 0, 2, 2, 1, 0, 3, 0] pubkeycol523 = [2, 0, 0, 2, 2, 4, 2, 1, 2, 4, 0, 1, 1, 2, 3, 4, 4, 4, 1, 2, 4, 2, 0, 4, 1, 4, 0, 3, 0, 2, 3, 2, 3, 4, 1, 1, 1, 4, 4, 3, 0, 1, 4, 0, 4, 1, 0, 2, 2, 0, 2, 0, 0, 4, 3, 0, 4, 2, 0, 3, 2, 2, 2, 1, 3, 3, 4, 4, 1, 1, 2, 1, 2, 3, 4, 2, 3, 1, 4, 2, 3, 0, 0, 2, 4, 4, 2, 4, 0, 3, 4, 2, 2, 0, 0, 1, 3, 4, 3, 4, 1, 4, 3, 2, 1, 4, 3, 3, 1, 4, 4, 4, 2, 0, 0, 1, 3, 0, 1, 0, 2, 1, 2, 3, 2, 3, 0, 0, 0, 4, 3, 2, 3, 4, 1, 3, 0, 0, 1, 3, 1, 2, 3, 3, 3, 0, 0, 1, 2, 3, 3, 1, 0, 1, 0, 4, 4, 2, 2, 2, 4, 4, 3, 2, 2, 4, 1, 0, 3, 4, 3, 0, 2, 4, 4, 1, 1, 0, 2, 1, 1, 4, 1, 3, 3, 2, 4, 4, 1, 4, 1, 4, 4, 3, 3, 2, 3, 3, 1, 2, 4, 2, 3, 1, 2, 1, 1, 3, 4, 1, 1, 0, 2, 1, 4, 1, 1, 1, 2, 0, 4, 1, 4, 3, 2, 0, 2, 0, 4, 0, 0, 3, 2, 1, 0, 0, 4, 3, 4, 0, 1, 1, 3, 2, 0, 1, 2, 1, 4, 2, 1, 0, 2, 3, 3, 4, 1, 2, 3, 2, 3, 4, 4, 0, 4, 3, 1, 1, 4, 1, 3, 1, 3, 0, 3, 0, 2, 0, 3, 1, 0, 3, 2, 2, 2, 2, 2, 0, 4, 0, 0, 1, 1, 1, 1, 4, 1, 3, 2, 1, 2, 1, 0, 1, 0, 2, 3, 0, 1, 4, 1, 4, 1, 0, 0, 3, 4, 2, 2, 4] pubkeycol524 = [3, 1, 1, 1, 0, 2, 1, 0, 3, 2, 0, 3, 0, 3, 1, 3, 3, 3, 1, 4, 4, 1, 4, 1, 4, 3, 1, 4, 4, 4, 4, 4, 0, 4, 2, 2, 3, 3, 2, 4, 4, 0, 3, 0, 1, 1, 1, 3, 3, 1, 4, 4, 1, 3, 4, 4, 1, 1, 1, 0, 2, 1, 4, 1, 2, 4, 1, 4, 2, 1, 0, 0, 0, 0, 3, 0, 3, 3, 1, 3, 3, 4, 1, 0, 4, 0, 4, 3, 0, 0, 2, 0, 2, 1, 1, 2, 0, 3, 0, 1, 2, 3, 4, 3, 1, 3, 2, 4, 4, 4, 2, 0, 2, 3, 0, 1, 0, 0, 4, 1, 1, 1, 3, 1, 4, 3, 0, 1, 2, 0, 1, 3, 0, 3, 4, 4, 3, 1, 3, 0, 3, 3, 1, 0, 0, 1, 3, 4, 4, 2, 0, 4, 1, 1, 4, 2, 4, 1, 1, 1, 4, 1, 1, 4, 0, 1, 1, 2, 1, 2, 2, 4, 0, 4, 4, 4, 2, 4, 0, 3, 2, 4, 1, 2, 1, 1, 3, 0, 3, 2, 1, 4, 4, 2, 3, 4, 3, 2, 0, 3, 2, 0, 0, 4, 3, 0, 0, 3, 4, 4, 3, 0, 4, 1, 4, 0, 3, 0, 2, 2, 0, 1, 1, 3, 2, 3, 1, 2, 4, 2, 3, 0, 3, 1, 4, 2, 3, 2, 3, 4, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 4, 4, 2, 0, 2, 0, 0, 4, 1, 1, 2, 2, 3, 0, 2, 2, 4, 2, 1, 3, 0, 2, 2, 0, 4, 1, 4, 4, 0, 2, 1, 2, 3, 0, 4, 2, 3, 0, 0, 2, 1, 1, 0, 3, 1, 3, 0, 0, 0, 4, 0, 1, 3, 2, 3, 0, 3, 0, 1, 0, 3, 0, 4, 3, 2, 3, 1] pubkeycol525 = [3, 1, 3, 2, 2, 3, 3, 0, 2, 0, 1, 4, 3, 1, 4, 2, 0, 3, 3, 1, 1, 2, 1, 1, 4, 4, 0, 4, 2, 3, 3, 2, 3, 2, 1, 1, 4, 0, 3, 1, 2, 4, 2, 4, 4, 3, 3, 0, 2, 4, 3, 4, 2, 3, 2, 3, 0, 1, 1, 0, 2, 3, 1, 1, 2, 3, 3, 2, 0, 0, 4, 0, 3, 2, 2, 2, 0, 3, 3, 4, 1, 4, 0, 1, 2, 0, 3, 2, 1, 4, 4, 1, 1, 4, 1, 2, 1, 1, 0, 1, 3, 2, 0, 0, 4, 2, 3, 4, 0, 4, 0, 4, 1, 4, 2, 1, 1, 3, 4, 3, 3, 1, 1, 1, 3, 2, 0, 4, 4, 0, 3, 3, 3, 3, 0, 4, 0, 1, 2, 3, 3, 3, 3, 1, 0, 2, 3, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 3, 0, 4, 0, 3, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 3, 3, 3, 3, 3, 1, 3, 4, 0, 1, 4, 4, 2, 3, 4, 0, 1, 3, 2, 3, 0, 1, 1, 1, 1, 2, 2, 2, 1, 4, 2, 1, 2, 2, 3, 0, 1, 4, 4, 4, 4, 3, 2, 1, 2, 0, 2, 2, 3, 0, 0, 0, 1, 3, 3, 1, 4, 3, 2, 2, 2, 4, 0, 3, 0, 4, 4, 1, 3, 0, 3, 0, 3, 4, 4, 3, 4, 1, 0, 0, 1, 1, 3, 1, 3, 0, 2, 3, 4, 3, 0, 0, 0, 2, 2, 4, 3, 1, 0, 1, 2, 1, 2, 3, 2, 0, 0, 2, 3, 2, 2, 2, 3, 0, 2, 3, 4, 2, 2, 0, 3, 0, 2, 0, 2, 3, 0, 2, 1, 0, 1, 2, 2, 3, 4, 2, 2, 0, 1, 1, 2, 4, 0, 1, 1, 3, 0] pubkeycol526 = [1, 3, 0, 1, 0, 0, 0, 1, 4, 1, 1, 1, 1, 1, 2, 1, 2, 3, 4, 2, 0, 3, 4, 1, 3, 2, 2, 3, 3, 0, 0, 1, 4, 3, 4, 1, 0, 0, 4, 2, 2, 4, 3, 2, 0, 0, 1, 3, 4, 2, 1, 2, 2, 1, 1, 0, 0, 2, 4, 4, 2, 1, 0, 2, 4, 3, 2, 2, 1, 0, 3, 4, 2, 4, 1, 3, 0, 4, 3, 2, 0, 0, 3, 0, 3, 3, 0, 2, 0, 1, 1, 0, 3, 1, 0, 2, 0, 1, 1, 1, 4, 1, 4, 1, 3, 4, 4, 3, 2, 0, 0, 1, 4, 2, 1, 2, 0, 0, 3, 0, 2, 4, 2, 0, 0, 0, 0, 2, 2, 4, 3, 3, 0, 2, 0, 3, 3, 0, 1, 1, 1, 3, 3, 1, 1, 4, 4, 4, 2, 0, 4, 1, 2, 4, 1, 2, 2, 4, 2, 4, 0, 0, 1, 3, 2, 0, 1, 3, 3, 1, 4, 4, 1, 4, 1, 3, 1, 1, 0, 4, 1, 4, 4, 0, 1, 4, 3, 4, 3, 0, 4, 1, 2, 0, 0, 3, 0, 3, 1, 0, 4, 2, 2, 0, 4, 0, 2, 0, 4, 1, 3, 0, 4, 3, 1, 4, 1, 1, 0, 2, 3, 4, 1, 1, 2, 2, 0, 1, 1, 0, 4, 1, 3, 2, 0, 1, 2, 4, 0, 2, 3, 3, 2, 0, 0, 0, 1, 1, 3, 4, 4, 2, 4, 1, 1, 2, 4, 0, 4, 4, 3, 2, 4, 2, 4, 2, 2, 1, 2, 0, 0, 2, 4, 4, 4, 0, 1, 0, 2, 1, 4, 2, 3, 2, 4, 3, 4, 4, 2, 4, 4, 1, 4, 1, 0, 3, 1, 4, 3, 3, 0, 2, 1, 2, 0, 1, 3, 0, 0, 1, 2, 3, 2, 2, 2, 0, 1, 1, 2, 1] pubkeycol527 = [1, 2, 4, 0, 3, 2, 0, 2, 4, 3, 3, 2, 1, 1, 2, 4, 1, 4, 2, 1, 0, 2, 1, 2, 2, 0, 4, 2, 1, 3, 1, 2, 0, 0, 3, 1, 0, 4, 3, 0, 2, 2, 2, 0, 4, 3, 2, 1, 3, 0, 4, 1, 0, 1, 3, 2, 1, 0, 3, 1, 2, 0, 4, 3, 1, 3, 4, 4, 2, 2, 3, 1, 4, 4, 1, 4, 1, 3, 3, 2, 3, 4, 3, 0, 3, 0, 3, 0, 3, 1, 3, 4, 1, 1, 2, 2, 4, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 3, 3, 1, 1, 2, 0, 4, 4, 0, 1, 1, 0, 1, 4, 3, 4, 3, 1, 0, 2, 0, 2, 0, 3, 4, 0, 1, 3, 1, 2, 2, 4, 2, 4, 2, 2, 1, 1, 3, 2, 4, 0, 3, 1, 2, 4, 1, 3, 4, 2, 4, 2, 2, 3, 4, 4, 4, 2, 0, 0, 2, 2, 3, 2, 2, 3, 3, 0, 3, 0, 4, 4, 0, 0, 4, 3, 2, 0, 2, 4, 3, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 3, 0, 4, 2, 2, 4, 2, 0, 3, 0, 2, 4, 0, 1, 3, 2, 1, 2, 1, 0, 2, 4, 3, 3, 1, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 4, 3, 0, 2, 3, 4, 4, 0, 3, 3, 3, 2, 1, 0, 2, 3, 0, 2, 3, 3, 2, 4, 1, 0, 1, 3, 3, 1, 2, 1, 0, 0, 0, 0, 1, 3, 4, 2, 0, 1, 3, 4, 0, 1, 0, 0, 4, 2, 4, 1, 3, 4, 1, 2, 3, 4, 1, 2, 1, 2, 0, 0, 3, 0, 4, 4, 1, 2, 3, 1, 4, 0, 0, 4, 2, 1, 2, 2, 0, 4, 4, 2, 2, 2, 4, 1, 3] pubkeycol528 = [3, 2, 3, 1, 1, 1, 3, 3, 3, 4, 0, 1, 1, 1, 3, 1, 1, 4, 2, 2, 0, 1, 1, 2, 0, 4, 3, 4, 4, 3, 2, 2, 3, 0, 0, 3, 2, 4, 1, 1, 0, 2, 4, 4, 1, 1, 2, 3, 0, 3, 0, 0, 3, 4, 4, 4, 3, 1, 2, 4, 0, 2, 4, 0, 0, 3, 0, 2, 4, 3, 0, 3, 4, 4, 1, 2, 3, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 0, 0, 0, 2, 3, 1, 3, 4, 4, 0, 2, 4, 3, 2, 2, 0, 4, 3, 3, 1, 2, 4, 4, 0, 2, 1, 1, 3, 4, 2, 3, 1, 4, 4, 2, 4, 2, 4, 4, 1, 0, 3, 1, 1, 3, 1, 3, 1, 2, 0, 0, 3, 0, 4, 2, 1, 4, 4, 3, 3, 2, 4, 0, 4, 2, 1, 3, 4, 4, 1, 4, 3, 0, 2, 2, 1, 0, 4, 3, 4, 4, 2, 4, 2, 1, 1, 3, 1, 2, 3, 2, 2, 2, 2, 1, 4, 0, 1, 4, 2, 0, 1, 0, 3, 2, 2, 3, 4, 4, 4, 4, 2, 2, 2, 1, 4, 2, 1, 2, 1, 3, 2, 3, 4, 3, 4, 3, 3, 4, 3, 4, 0, 1, 1, 3, 0, 2, 1, 1, 3, 0, 0, 2, 4, 1, 1, 4, 0, 2, 1, 3, 1, 4, 4, 3, 0, 0, 0, 2, 4, 1, 2, 3, 1, 4, 2, 1, 1, 4, 4, 2, 0, 3, 1, 4, 1, 3, 1, 4, 3, 3, 3, 1, 2, 2, 3, 1, 1, 4, 4, 2, 4, 2, 4, 2, 2, 1, 0, 3, 4, 4, 1, 4, 3, 4, 0, 4, 2, 3, 3, 0, 0, 3, 1, 3, 0, 2, 1, 1, 2, 3, 2, 4, 2, 4, 1, 2, 4, 2] pubkeycol529 = [0, 4, 0, 4, 1, 2, 1, 2, 3, 2, 1, 2, 1, 1, 2, 2, 4, 4, 3, 0, 0, 3, 0, 0, 2, 4, 4, 2, 1, 2, 2, 2, 2, 4, 1, 2, 1, 4, 3, 3, 4, 3, 1, 0, 0, 1, 0, 0, 2, 3, 0, 1, 3, 4, 1, 4, 3, 4, 4, 1, 4, 0, 3, 0, 1, 2, 1, 2, 4, 2, 3, 3, 0, 0, 3, 3, 4, 4, 2, 1, 0, 4, 2, 0, 4, 4, 0, 1, 0, 0, 4, 0, 4, 4, 2, 2, 1, 0, 1, 0, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 4, 3, 2, 0, 2, 1, 1, 1, 0, 2, 4, 4, 1, 2, 4, 0, 3, 1, 0, 3, 1, 1, 3, 1, 4, 0, 2, 4, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 2, 0, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 0, 2, 0, 4, 3, 0, 3, 0, 3, 2, 2, 3, 3, 4, 2, 3, 1, 3, 3, 4, 2, 4, 2, 4, 1, 4, 0, 2, 2, 1, 1, 3, 0, 0, 3, 4, 0, 3, 3, 1, 4, 4, 2, 0, 3, 2, 4, 4, 4, 4, 2, 1, 0, 1, 0, 4, 4, 1, 4, 3, 3, 1, 2, 1, 1, 3, 2, 2, 0, 3, 2, 3, 4, 1, 0, 4, 2, 2, 0, 1, 3, 0, 3, 2, 1, 0, 1, 3, 3, 1, 3, 1, 2, 0, 0, 3, 2, 0, 3, 4, 0, 3, 2, 2, 3, 2, 2, 3, 2, 3, 1, 1, 4, 3, 4, 3, 2, 0, 2, 1, 2, 0, 2, 3, 1, 0, 3, 3, 4, 0, 1, 3, 0, 1, 4, 3, 2, 4, 3, 3, 1, 2, 4, 3, 4, 4, 2, 4, 1, 3, 2, 0] pubkeycol530 = [2, 0, 4, 2, 2, 4, 0, 0, 2, 4, 3, 0, 1, 4, 0, 1, 1, 0, 4, 1, 3, 1, 0, 1, 3, 2, 3, 1, 1, 4, 4, 1, 0, 4, 0, 2, 1, 0, 2, 2, 3, 3, 4, 4, 1, 2, 0, 3, 4, 0, 0, 1, 4, 2, 0, 4, 2, 2, 1, 4, 3, 1, 2, 1, 2, 1, 2, 0, 2, 4, 0, 4, 0, 1, 4, 4, 3, 0, 4, 2, 0, 0, 0, 4, 1, 3, 2, 1, 0, 0, 2, 4, 0, 4, 0, 0, 4, 4, 3, 1, 0, 2, 4, 0, 2, 1, 1, 4, 4, 2, 2, 3, 0, 1, 0, 2, 0, 2, 0, 1, 4, 1, 2, 1, 4, 3, 3, 2, 3, 1, 4, 3, 4, 2, 4, 0, 4, 1, 1, 4, 1, 2, 2, 3, 1, 0, 0, 4, 0, 3, 4, 2, 0, 3, 3, 0, 2, 1, 4, 0, 3, 0, 2, 0, 3, 3, 0, 3, 2, 0, 2, 3, 4, 2, 2, 3, 4, 4, 0, 3, 2, 2, 3, 0, 3, 0, 2, 1, 2, 1, 3, 4, 3, 2, 3, 4, 3, 0, 2, 1, 4, 2, 3, 1, 2, 3, 1, 3, 1, 3, 4, 0, 4, 4, 4, 2, 0, 1, 3, 1, 0, 4, 1, 3, 4, 1, 2, 2, 1, 4, 3, 1, 3, 4, 0, 1, 2, 0, 1, 4, 3, 0, 0, 2, 2, 2, 4, 3, 2, 4, 1, 2, 2, 0, 1, 2, 3, 0, 0, 1, 3, 2, 2, 0, 4, 3, 3, 1, 2, 2, 0, 2, 0, 0, 3, 3, 4, 0, 0, 3, 3, 0, 2, 4, 3, 0, 0, 4, 1, 0, 3, 2, 0, 0, 1, 3, 1, 2, 3, 4, 2, 3, 1, 3, 3, 3, 2, 2, 4, 4, 4, 0, 4, 0, 0, 1, 1, 3, 2, 4] pubkeycol531 = [1, 3, 4, 0, 1, 1, 0, 0, 2, 2, 3, 1, 4, 3, 4, 4, 4, 4, 3, 1, 3, 1, 0, 3, 0, 1, 1, 3, 1, 1, 2, 0, 4, 0, 0, 2, 4, 1, 3, 3, 0, 4, 2, 0, 4, 1, 3, 3, 0, 4, 0, 3, 1, 0, 1, 2, 1, 3, 2, 0, 3, 1, 2, 2, 4, 4, 2, 3, 0, 2, 0, 4, 3, 2, 3, 4, 1, 2, 4, 3, 1, 1, 1, 1, 0, 3, 0, 4, 4, 4, 3, 4, 4, 0, 3, 2, 4, 3, 3, 4, 3, 3, 3, 4, 1, 0, 4, 1, 1, 0, 3, 3, 2, 0, 2, 3, 1, 4, 2, 1, 1, 0, 3, 0, 2, 2, 2, 2, 4, 1, 4, 0, 1, 4, 3, 1, 0, 0, 3, 4, 4, 0, 0, 3, 1, 0, 4, 4, 1, 3, 4, 1, 4, 1, 1, 3, 2, 0, 4, 0, 3, 1, 4, 1, 4, 4, 3, 3, 1, 1, 0, 3, 2, 4, 1, 1, 1, 1, 0, 3, 0, 2, 4, 1, 1, 1, 3, 1, 1, 2, 1, 1, 4, 0, 3, 3, 0, 4, 4, 2, 2, 4, 2, 4, 3, 4, 4, 0, 3, 4, 4, 3, 1, 2, 0, 4, 3, 1, 4, 0, 2, 1, 2, 0, 4, 1, 1, 0, 0, 0, 3, 4, 2, 4, 1, 0, 4, 4, 1, 0, 3, 3, 1, 1, 4, 2, 4, 2, 3, 3, 4, 3, 2, 3, 2, 3, 2, 2, 3, 4, 4, 2, 2, 3, 3, 2, 3, 0, 2, 3, 3, 2, 2, 3, 1, 0, 0, 4, 2, 0, 4, 1, 3, 0, 1, 0, 2, 0, 4, 1, 3, 2, 2, 1, 0, 2, 0, 3, 4, 2, 4, 3, 2, 1, 0, 0, 2, 1, 4, 4, 2, 1, 4, 1, 1, 0, 3, 0, 0, 2] pubkeycol532 = [0, 2, 2, 4, 2, 1, 1, 4, 4, 0, 2, 0, 4, 3, 3, 4, 1, 1, 0, 0, 4, 3, 0, 0, 1, 4, 3, 3, 3, 4, 3, 1, 1, 4, 3, 0, 4, 3, 3, 3, 3, 0, 0, 3, 4, 0, 4, 4, 1, 1, 1, 1, 1, 3, 1, 3, 2, 2, 0, 0, 1, 3, 3, 0, 2, 2, 1, 0, 4, 1, 3, 1, 4, 2, 0, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 0, 1, 3, 4, 1, 4, 0, 4, 0, 0, 0, 3, 3, 4, 4, 2, 4, 1, 0, 0, 3, 1, 2, 4, 0, 1, 3, 4, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 4, 1, 4, 4, 3, 3, 2, 4, 2, 1, 4, 1, 0, 2, 2, 3, 0, 2, 3, 1, 3, 0, 3, 0, 4, 2, 2, 3, 1, 4, 3, 3, 1, 3, 4, 2, 0, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 2, 1, 1, 3, 4, 3, 0, 0, 3, 0, 0, 3, 1, 3, 2, 0, 3, 1, 1, 2, 1, 4, 3, 4, 0, 3, 1, 0, 3, 2, 1, 2, 4, 4, 1, 1, 2, 0, 0, 4, 2, 0, 4, 3, 0, 1, 2, 2, 4, 3, 1, 2, 4, 0, 0, 2, 4, 0, 3, 1, 1, 1, 0, 4, 0, 0, 2, 0, 2, 4, 0, 2, 2, 1, 4, 0, 3, 0, 0, 4, 2, 0, 3, 1, 2, 1, 1, 3, 0, 2, 4, 0, 2, 0, 1, 4, 3, 2, 3, 3, 0, 3, 1, 1, 4, 1, 4, 3, 2, 1, 1, 1, 4, 3, 1, 3, 2, 3, 2, 4, 3, 1, 4, 3, 4, 3, 2, 4, 2, 2, 4, 1, 4, 3, 0, 1, 4, 2, 1, 3, 3, 2, 1, 4] pubkeycol533 = [3, 4, 1, 2, 0, 4, 3, 4, 0, 2, 3, 4, 2, 0, 1, 0, 0, 4, 2, 1, 0, 2, 0, 2, 4, 2, 2, 3, 2, 3, 0, 3, 2, 3, 0, 0, 4, 1, 3, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 3, 3, 3, 2, 4, 3, 4, 1, 1, 4, 1, 1, 0, 2, 2, 0, 1, 1, 2, 4, 1, 1, 2, 3, 3, 4, 3, 1, 4, 2, 3, 0, 2, 0, 4, 4, 2, 0, 3, 4, 2, 1, 0, 0, 3, 2, 3, 2, 3, 4, 2, 2, 4, 1, 0, 4, 3, 3, 0, 2, 1, 0, 2, 3, 3, 4, 4, 2, 0, 4, 0, 0, 0, 3, 3, 3, 0, 3, 4, 2, 2, 0, 4, 3, 3, 4, 4, 4, 2, 3, 1, 3, 3, 0, 2, 2, 4, 4, 3, 4, 3, 0, 0, 4, 1, 3, 4, 4, 1, 4, 0, 2, 4, 3, 4, 1, 2, 3, 3, 0, 0, 1, 4, 4, 3, 2, 3, 0, 4, 3, 0, 4, 1, 2, 1, 3, 1, 4, 0, 3, 4, 2, 2, 2, 3, 2, 1, 0, 0, 2, 1, 4, 0, 4, 3, 1, 3, 2, 0, 0, 1, 3, 1, 1, 2, 0, 1, 4, 1, 0, 4, 0, 1, 3, 4, 4, 2, 2, 4, 2, 0, 0, 1, 2, 2, 4, 1, 1, 3, 2, 2, 2, 2, 3, 0, 0, 3, 0, 4, 3, 0, 1, 2, 3, 1, 2, 4, 4, 1, 1, 3, 0, 3, 1, 3, 2, 3, 4, 2, 3, 0, 3, 3, 1, 3, 3, 2, 4, 3, 4, 1, 1, 0, 4, 1, 0, 2, 0, 4, 0, 4, 1, 1, 1, 3, 0, 3, 4, 2, 0, 0, 2, 4, 0, 1, 3, 0, 2, 0, 3, 4, 1, 2, 2, 2, 4, 4, 4] pubkeycol534 = [3, 3, 1, 1, 3, 2, 0, 3, 4, 3, 1, 1, 0, 1, 2, 0, 1, 3, 1, 2, 0, 0, 1, 3, 1, 1, 1, 3, 2, 1, 3, 3, 1, 0, 2, 3, 1, 2, 0, 3, 4, 2, 1, 2, 0, 4, 2, 2, 3, 2, 1, 1, 2, 4, 0, 3, 0, 1, 0, 1, 3, 3, 2, 0, 0, 3, 0, 0, 1, 2, 3, 2, 4, 4, 3, 4, 1, 1, 3, 3, 1, 1, 2, 2, 1, 1, 3, 3, 1, 2, 1, 3, 3, 1, 1, 1, 0, 1, 3, 1, 2, 2, 1, 4, 2, 1, 3, 2, 4, 2, 1, 4, 1, 4, 0, 1, 3, 2, 1, 3, 3, 2, 0, 3, 4, 4, 1, 2, 0, 0, 0, 4, 0, 2, 3, 4, 1, 0, 3, 2, 4, 2, 0, 1, 4, 0, 3, 3, 1, 1, 3, 2, 4, 0, 3, 3, 4, 0, 0, 3, 1, 0, 2, 3, 2, 4, 1, 1, 2, 1, 2, 4, 1, 3, 0, 2, 0, 2, 2, 1, 4, 0, 0, 4, 2, 4, 2, 1, 0, 2, 1, 3, 4, 3, 1, 4, 0, 4, 4, 0, 4, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 4, 2, 3, 1, 0, 3, 1, 1, 3, 1, 0, 3, 4, 3, 0, 0, 2, 1, 2, 0, 2, 3, 2, 0, 0, 2, 3, 0, 3, 4, 1, 2, 4, 3, 3, 3, 0, 1, 4, 3, 3, 2, 0, 2, 2, 4, 1, 1, 0, 2, 0, 0, 2, 2, 0, 4, 1, 3, 2, 4, 0, 4, 4, 3, 0, 4, 0, 1, 2, 1, 1, 2, 1, 3, 4, 3, 4, 0, 3, 0, 3, 3, 1, 4, 0, 1, 0, 2, 4, 3, 1, 2, 0, 0, 1, 4, 3, 2, 4, 3, 2, 4, 2, 1, 2, 1, 3, 1] pubkeycol535 = [0, 1, 1, 3, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 4, 2, 4, 2, 0, 3, 0, 0, 4, 4, 2, 4, 3, 1, 1, 0, 0, 4, 0, 3, 0, 0, 2, 0, 1, 0, 2, 0, 4, 3, 0, 2, 4, 1, 3, 4, 0, 3, 0, 4, 1, 3, 4, 0, 2, 2, 4, 2, 0, 4, 1, 0, 2, 3, 0, 2, 2, 0, 4, 4, 0, 4, 1, 2, 0, 2, 3, 2, 1, 3, 2, 1, 2, 2, 0, 1, 4, 3, 0, 2, 1, 2, 3, 1, 0, 1, 1, 0, 0, 3, 0, 2, 1, 2, 3, 4, 3, 4, 3, 2, 2, 1, 1, 3, 2, 4, 2, 1, 2, 1, 2, 0, 1, 0, 2, 4, 2, 0, 1, 3, 1, 3, 4, 0, 1, 2, 4, 4, 3, 4, 1, 4, 4, 2, 2, 2, 0, 4, 4, 1, 3, 2, 3, 4, 0, 3, 4, 1, 1, 3, 4, 4, 3, 4, 2, 1, 1, 2, 2, 4, 4, 3, 4, 4, 0, 0, 3, 2, 4, 3, 2, 4, 2, 1, 2, 4, 0, 2, 0, 3, 2, 0, 1, 3, 0, 1, 2, 3, 0, 1, 1, 2, 0, 3, 1, 2, 3, 1, 3, 1, 0, 4, 2, 2, 3, 0, 0, 4, 2, 3, 3, 1, 2, 3, 1, 1, 1, 1, 4, 4, 4, 2, 1, 4, 1, 3, 1, 2, 4, 4, 1, 1, 4, 1, 1, 3, 3, 4, 3, 1, 2, 4, 4, 1, 1, 3, 4, 4, 2, 3, 0, 2, 1, 3, 3, 1, 0, 2, 3, 0, 3, 3, 4, 0, 0, 3, 2, 2, 4, 2, 1, 2, 1, 0, 4, 0, 4, 0, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 4, 4, 4, 1, 1, 2, 0, 0, 3, 2, 0, 1] pubkeycol536 = [1, 0, 2, 1, 1, 0, 1, 1, 3, 3, 1, 4, 0, 0, 1, 1, 1, 1, 3, 4, 1, 3, 4, 3, 3, 1, 3, 0, 4, 2, 1, 4, 1, 0, 4, 3, 1, 1, 2, 4, 1, 2, 1, 0, 1, 4, 4, 1, 4, 1, 2, 2, 4, 4, 1, 0, 1, 4, 3, 3, 3, 1, 3, 4, 1, 0, 2, 3, 3, 3, 4, 0, 0, 4, 1, 3, 2, 2, 0, 4, 4, 0, 2, 2, 4, 4, 3, 0, 1, 2, 2, 3, 2, 3, 0, 0, 1, 0, 4, 1, 3, 0, 3, 2, 1, 4, 4, 1, 3, 4, 2, 2, 1, 1, 0, 3, 4, 2, 4, 1, 3, 3, 1, 2, 0, 0, 1, 0, 4, 1, 0, 2, 3, 0, 1, 1, 2, 3, 2, 4, 2, 2, 1, 0, 4, 3, 0, 4, 1, 3, 4, 3, 3, 4, 0, 1, 4, 1, 3, 1, 3, 4, 0, 1, 3, 4, 0, 1, 3, 1, 4, 0, 4, 4, 1, 4, 3, 4, 1, 0, 4, 0, 2, 2, 3, 2, 0, 0, 4, 1, 0, 4, 0, 1, 3, 2, 1, 2, 4, 2, 2, 0, 4, 1, 2, 1, 4, 2, 0, 4, 3, 0, 1, 2, 3, 1, 3, 0, 2, 0, 0, 1, 3, 0, 2, 1, 1, 4, 3, 4, 4, 4, 1, 2, 3, 2, 1, 0, 4, 2, 1, 4, 0, 2, 1, 3, 4, 4, 1, 3, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 4, 3, 3, 2, 0, 0, 3, 0, 3, 3, 1, 3, 0, 0, 4, 1, 0, 0, 2, 2, 3, 4, 3, 1, 3, 0, 1, 4, 0, 0, 4, 1, 4, 2, 4, 2, 2, 0, 3, 0, 2, 3, 3, 4, 1, 3, 2, 2, 3, 0, 2, 3] pubkeycol537 = [2, 4, 0, 4, 4, 4, 1, 3, 1, 4, 4, 2, 3, 4, 4, 1, 1, 3, 3, 3, 0, 3, 1, 0, 4, 1, 0, 2, 1, 1, 1, 1, 3, 4, 2, 2, 3, 1, 0, 3, 4, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 3, 3, 4, 1, 4, 3, 3, 0, 4, 0, 4, 2, 4, 2, 0, 0, 3, 4, 2, 2, 3, 1, 0, 3, 0, 3, 1, 2, 2, 2, 0, 2, 3, 3, 2, 2, 2, 1, 4, 2, 4, 0, 1, 3, 4, 1, 1, 4, 0, 2, 1, 1, 0, 4, 4, 4, 1, 2, 1, 0, 1, 3, 2, 1, 0, 2, 2, 0, 3, 1, 0, 4, 1, 3, 2, 0, 4, 4, 4, 1, 0, 2, 4, 4, 1, 1, 0, 0, 0, 0, 4, 4, 4, 3, 1, 4, 1, 1, 3, 2, 0, 0, 3, 0, 4, 1, 3, 3, 2, 1, 2, 4, 0, 1, 3, 0, 4, 2, 2, 0, 3, 3, 0, 1, 2, 3, 1, 3, 3, 0, 4, 3, 3, 4, 1, 3, 3, 2, 1, 0, 0, 3, 3, 0, 2, 2, 3, 3, 3, 3, 2, 2, 0, 3, 3, 4, 0, 4, 4, 0, 3, 3, 4, 3, 2, 3, 0, 2, 3, 1, 4, 4, 0, 1, 1, 0, 4, 1, 4, 2, 4, 3, 4, 0, 4, 4, 0, 1, 4, 1, 3, 1, 3, 0, 3, 0, 4, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 0, 0, 3, 0, 1, 4, 3, 3, 0, 3, 0, 2, 2, 2, 1, 2, 1, 3, 4, 3, 1, 4, 4, 3, 2, 0, 1, 3, 2, 4, 2, 3, 1, 2, 3, 3, 2, 0, 2, 4, 3, 1, 2, 3, 1, 0, 0, 4, 3, 4, 1, 2, 1, 0, 1, 3, 4, 4] pubkeycol538 = [3, 4, 3, 0, 4, 0, 1, 2, 3, 1, 4, 4, 2, 0, 3, 4, 1, 2, 3, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 3, 3, 2, 0, 0, 1, 4, 1, 4, 0, 2, 0, 1, 0, 3, 1, 3, 0, 3, 1, 2, 0, 3, 2, 1, 0, 0, 2, 3, 3, 2, 4, 3, 1, 3, 3, 3, 4, 0, 0, 3, 2, 4, 4, 2, 2, 0, 3, 2, 2, 4, 2, 3, 3, 3, 0, 1, 4, 0, 1, 4, 2, 0, 3, 4, 2, 4, 3, 2, 0, 3, 4, 4, 1, 3, 0, 0, 4, 4, 0, 1, 0, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 4, 2, 0, 4, 4, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 1, 2, 3, 2, 0, 1, 4, 0, 2, 2, 2, 4, 1, 2, 1, 1, 2, 4, 2, 0, 4, 0, 1, 1, 3, 1, 1, 4, 4, 4, 2, 0, 4, 3, 1, 4, 3, 4, 0, 3, 1, 3, 3, 1, 1, 0, 2, 3, 0, 1, 3, 0, 0, 3, 2, 1, 3, 4, 4, 3, 2, 4, 3, 1, 2, 1, 0, 2, 1, 0, 3, 1, 1, 2, 4, 2, 3, 4, 2, 4, 4, 3, 0, 0, 1, 1, 3, 3, 0, 0, 3, 1, 3, 1, 0, 3, 3, 4, 0, 2, 2, 4, 0, 3, 1, 1, 0, 1, 3, 1, 1, 1, 4, 2, 3, 0, 0, 3, 1, 1, 0, 4, 1, 0, 4, 3, 3, 3, 2, 0, 4, 3, 1, 4, 1, 3, 4, 3, 0, 3, 2, 1, 1, 0, 1, 4, 4, 0, 1, 1, 3, 1, 3, 1, 2, 4, 3, 0, 0, 1, 1, 0, 2, 1, 3, 3, 1, 1, 4, 3, 0, 2, 4, 0, 0, 1, 4, 0, 0, 4, 2, 4] pubkeycol539 = [2, 1, 4, 3, 4, 3, 0, 4, 1, 4, 1, 1, 1, 1, 2, 4, 4, 1, 3, 3, 2, 1, 1, 4, 2, 1, 1, 2, 3, 2, 0, 4, 4, 1, 0, 3, 0, 1, 0, 0, 3, 0, 4, 3, 3, 4, 3, 1, 4, 4, 2, 1, 2, 4, 3, 1, 0, 0, 1, 4, 2, 4, 0, 2, 4, 1, 0, 4, 2, 0, 3, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 3, 4, 1, 1, 4, 0, 3, 0, 1, 1, 0, 1, 0, 3, 3, 3, 0, 2, 0, 0, 3, 0, 3, 4, 4, 0, 1, 3, 2, 1, 3, 4, 3, 2, 1, 4, 3, 3, 0, 4, 3, 4, 1, 4, 2, 4, 3, 4, 1, 4, 4, 1, 1, 2, 3, 2, 2, 4, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 4, 0, 1, 1, 4, 0, 1, 2, 0, 1, 3, 3, 1, 1, 0, 2, 3, 4, 0, 3, 4, 2, 4, 4, 3, 2, 2, 1, 3, 2, 4, 2, 1, 4, 0, 4, 3, 2, 3, 3, 4, 4, 3, 2, 1, 0, 0, 3, 2, 1, 4, 1, 2, 2, 4, 0, 3, 2, 0, 1, 0, 3, 1, 0, 1, 0, 4, 4, 4, 4, 0, 2, 4, 2, 4, 2, 2, 0, 0, 3, 4, 3, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 4, 0, 3, 1, 2, 0, 0, 0, 0, 2, 2, 0, 3, 4, 4, 1, 4, 0, 3, 0, 4, 2, 3, 4, 4, 0, 3, 0, 4, 3, 4, 4, 4, 4, 1, 1, 4, 0, 4, 4, 4, 4, 1, 1, 4, 4, 2, 2, 2, 1, 0, 1, 3, 4, 2, 3, 2, 1, 4, 4, 0, 3, 0, 4, 1, 1, 2, 3, 0, 1, 0, 4] pubkeycol540 = [0, 2, 4, 1, 4, 0, 0, 0, 2, 3, 2, 0, 0, 2, 1, 0, 1, 3, 1, 4, 3, 0, 0, 1, 4, 2, 0, 2, 0, 3, 2, 1, 2, 4, 4, 2, 0, 3, 4, 0, 0, 3, 0, 2, 0, 4, 3, 4, 0, 4, 3, 2, 2, 1, 3, 0, 3, 2, 4, 1, 3, 2, 3, 4, 1, 2, 4, 2, 1, 0, 3, 4, 0, 2, 2, 0, 1, 4, 3, 4, 3, 1, 1, 4, 1, 1, 3, 2, 4, 1, 0, 2, 3, 0, 1, 1, 2, 2, 1, 4, 2, 3, 1, 1, 0, 3, 3, 0, 4, 0, 3, 2, 4, 4, 2, 4, 3, 3, 1, 0, 2, 4, 2, 1, 1, 3, 2, 2, 1, 4, 3, 2, 4, 2, 1, 4, 1, 2, 2, 2, 3, 3, 0, 2, 0, 1, 1, 0, 0, 3, 4, 0, 4, 0, 2, 0, 3, 1, 0, 0, 4, 0, 1, 0, 3, 1, 1, 0, 4, 3, 4, 1, 2, 3, 1, 1, 0, 0, 1, 2, 3, 3, 1, 0, 3, 1, 0, 1, 2, 1, 3, 3, 3, 0, 0, 2, 4, 0, 1, 1, 0, 1, 4, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 2, 4, 3, 1, 3, 4, 2, 1, 2, 2, 1, 1, 0, 1, 4, 1, 2, 1, 3, 4, 0, 1, 3, 0, 2, 2, 0, 2, 3, 1, 4, 4, 2, 0, 3, 2, 2, 1, 4, 1, 0, 4, 0, 2, 4, 4, 3, 0, 0, 3, 2, 1, 2, 4, 3, 2, 4, 2, 3, 1, 2, 2, 1, 0, 1, 3, 0, 4, 2, 3, 2, 1, 4, 3, 4, 2, 1, 0, 0, 0, 4, 2, 2, 1, 1, 1, 2, 0, 4, 0, 3, 4, 0, 1, 4, 2, 3, 3, 0, 4, 0, 3, 1, 1, 2, 4, 2] pubkeycol541 = [3, 0, 1, 0, 0, 3, 4, 3, 3, 0, 4, 2, 2, 3, 0, 1, 0, 4, 2, 4, 3, 4, 0, 3, 0, 1, 4, 3, 2, 4, 2, 0, 0, 1, 0, 0, 4, 4, 2, 0, 3, 0, 2, 3, 3, 1, 3, 3, 1, 2, 3, 0, 4, 3, 4, 0, 3, 3, 3, 1, 0, 1, 2, 1, 3, 0, 3, 1, 3, 4, 1, 2, 2, 1, 1, 1, 3, 4, 2, 2, 0, 2, 4, 0, 1, 3, 2, 1, 3, 3, 1, 0, 1, 2, 1, 1, 4, 4, 1, 1, 0, 0, 1, 3, 4, 3, 2, 4, 1, 3, 4, 1, 3, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 2, 2, 4, 2, 3, 3, 2, 1, 4, 1, 2, 3, 1, 0, 1, 2, 3, 2, 1, 0, 4, 2, 1, 0, 3, 4, 0, 2, 4, 2, 2, 3, 0, 3, 0, 4, 3, 2, 0, 2, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 1, 0, 0, 4, 2, 3, 4, 2, 1, 0, 3, 2, 0, 0, 1, 2, 4, 3, 1, 0, 2, 3, 2, 2, 4, 3, 0, 3, 1, 4, 0, 0, 3, 4, 1, 4, 3, 0, 4, 3, 3, 3, 1, 1, 1, 0, 4, 4, 3, 4, 3, 4, 0, 4, 3, 3, 3, 2, 0, 4, 1, 4, 0, 0, 0, 4, 2, 4, 3, 1, 4, 3, 1, 4, 4, 2, 2, 2, 4, 1, 4, 1, 0, 4, 4, 0, 1, 4, 2, 4, 1, 0, 3, 3, 3, 1, 2, 3, 4, 3, 4, 0, 0, 2, 3, 3, 2, 1, 3, 2, 4, 3, 1, 3, 0, 1, 3, 3, 4, 2, 1, 3, 2, 3, 1, 4, 2, 4, 0, 0, 2, 0, 2, 3, 3, 3, 4, 1, 3, 2, 1, 3, 2, 4, 4, 4] pubkeycol542 = [3, 2, 4, 4, 2, 4, 3, 1, 2, 3, 3, 0, 2, 2, 3, 1, 1, 0, 4, 0, 0, 3, 2, 0, 1, 4, 1, 1, 0, 2, 0, 4, 3, 4, 0, 2, 4, 1, 3, 0, 2, 0, 4, 0, 3, 0, 3, 2, 3, 2, 3, 0, 0, 1, 3, 2, 1, 2, 0, 3, 2, 0, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 0, 3, 4, 0, 4, 0, 1, 0, 3, 4, 2, 1, 2, 3, 4, 4, 2, 2, 3, 1, 1, 2, 3, 0, 3, 1, 0, 1, 4, 4, 3, 0, 3, 0, 2, 1, 3, 1, 1, 3, 3, 2, 1, 4, 2, 1, 3, 2, 1, 2, 4, 0, 0, 1, 3, 2, 4, 0, 4, 4, 2, 1, 4, 1, 0, 3, 4, 2, 2, 0, 3, 0, 4, 0, 1, 0, 2, 2, 2, 0, 4, 1, 4, 3, 2, 4, 4, 2, 4, 4, 2, 2, 1, 0, 1, 1, 1, 0, 4, 0, 1, 3, 4, 0, 1, 2, 1, 3, 2, 2, 3, 2, 4, 3, 1, 1, 1, 4, 2, 3, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 3, 3, 2, 4, 2, 0, 2, 1, 0, 2, 0, 2, 3, 4, 1, 4, 0, 3, 2, 0, 3, 3, 0, 2, 2, 0, 3, 3, 2, 0, 2, 3, 0, 0, 1, 1, 1, 3, 4, 2, 4, 2, 3, 0, 1, 3, 0, 3, 0, 1, 1, 2, 0, 4, 1, 3, 4, 2, 1, 0, 2, 4, 0, 2, 3, 2, 2, 0, 3, 4, 4, 2, 3, 1, 0, 1, 2, 3, 3, 0, 4, 2, 1, 2, 0, 0, 1, 0, 1, 3, 2, 4, 2, 1, 4, 2, 2, 0, 3, 0, 3, 3, 0, 1, 2, 3, 4, 0, 3, 1, 4, 4, 4, 0] pubkeycol543 = [2, 2, 4, 4, 1, 4, 0, 2, 0, 2, 1, 4, 3, 4, 2, 2, 3, 4, 0, 4, 3, 0, 3, 2, 1, 1, 2, 1, 2, 1, 4, 3, 1, 0, 0, 0, 4, 2, 0, 1, 3, 3, 0, 2, 2, 2, 3, 4, 1, 0, 2, 4, 2, 2, 4, 2, 3, 4, 1, 4, 4, 0, 0, 2, 1, 2, 0, 4, 4, 1, 2, 4, 4, 3, 2, 1, 2, 0, 3, 3, 0, 3, 1, 2, 3, 1, 4, 4, 4, 4, 4, 4, 3, 4, 1, 3, 4, 2, 1, 2, 0, 1, 2, 2, 0, 2, 3, 0, 0, 3, 2, 0, 4, 2, 1, 2, 3, 0, 2, 1, 0, 0, 1, 1, 4, 1, 3, 4, 1, 3, 2, 3, 1, 0, 1, 1, 4, 0, 3, 3, 3, 1, 2, 2, 3, 2, 4, 2, 4, 2, 4, 4, 3, 0, 1, 4, 4, 1, 2, 1, 2, 2, 3, 4, 4, 0, 3, 1, 1, 3, 3, 2, 3, 4, 2, 3, 4, 0, 0, 3, 2, 0, 3, 0, 4, 0, 4, 2, 3, 0, 1, 2, 1, 0, 3, 3, 3, 0, 3, 4, 2, 3, 1, 3, 0, 2, 3, 0, 2, 3, 3, 0, 4, 2, 0, 4, 4, 3, 4, 4, 4, 4, 4, 0, 0, 2, 4, 4, 2, 3, 2, 4, 2, 0, 3, 3, 3, 0, 1, 3, 4, 4, 1, 3, 4, 3, 1, 0, 1, 2, 4, 4, 3, 0, 4, 4, 0, 0, 3, 4, 0, 3, 0, 1, 1, 1, 0, 2, 3, 4, 4, 4, 0, 2, 1, 0, 3, 4, 2, 4, 0, 1, 1, 0, 1, 4, 3, 4, 4, 0, 1, 0, 3, 0, 4, 3, 3, 3, 4, 4, 2, 0, 3, 1, 4, 1, 0, 3, 1, 3, 1, 1, 4, 4, 4, 1, 3, 2, 1, 1] pubkeycol544 = [3, 0, 3, 2, 1, 4, 0, 3, 1, 1, 4, 4, 2, 0, 1, 2, 4, 1, 0, 1, 4, 2, 1, 2, 3, 3, 3, 1, 2, 0, 0, 4, 1, 2, 2, 2, 1, 2, 0, 3, 3, 4, 2, 2, 1, 4, 1, 2, 3, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 3, 2, 4, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 4, 2, 2, 2, 0, 1, 3, 0, 0, 1, 3, 2, 4, 2, 4, 0, 2, 1, 3, 4, 1, 4, 4, 2, 4, 4, 0, 2, 1, 4, 1, 2, 2, 3, 0, 2, 1, 1, 2, 4, 2, 4, 3, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 3, 0, 1, 4, 1, 4, 3, 3, 1, 2, 0, 1, 2, 2, 4, 3, 3, 0, 2, 3, 2, 4, 1, 3, 3, 1, 3, 3, 2, 3, 0, 0, 0, 4, 3, 4, 4, 1, 3, 3, 4, 4, 1, 1, 4, 4, 1, 0, 2, 4, 2, 4, 0, 4, 0, 3, 1, 1, 0, 0, 2, 0, 3, 4, 0, 1, 1, 0, 2, 4, 1, 2, 0, 2, 4, 3, 0, 4, 4, 1, 2, 4, 3, 2, 1, 3, 4, 1, 2, 3, 3, 4, 3, 2, 3, 1, 1, 1, 4, 3, 4, 1, 3, 2, 2, 4, 0, 4, 3, 1, 1, 0, 2, 1, 4, 0, 2, 3, 1, 1, 3, 2, 0, 0, 0, 2, 4, 2, 0, 3, 0, 4, 3, 1, 0, 1, 0, 4, 4, 4, 4, 4, 3, 4, 3, 3, 1, 3, 0, 1, 4, 1, 3, 1, 2, 4, 1, 0, 4, 0, 1, 3, 2, 0, 1, 4, 1, 0, 4, 3, 3, 0, 4, 1, 3, 4, 2, 3, 1, 3, 3, 1, 1, 4, 3, 1, 3, 3, 3, 1, 4, 2, 1] pubkeycol545 = [3, 4, 3, 3, 4, 1, 4, 0, 0, 4, 3, 1, 1, 1, 4, 3, 4, 2, 1, 1, 4, 0, 1, 3, 0, 0, 1, 1, 1, 3, 2, 3, 4, 2, 1, 1, 1, 2, 4, 2, 4, 1, 0, 1, 3, 1, 0, 1, 1, 2, 2, 0, 0, 4, 2, 0, 0, 2, 1, 2, 3, 0, 2, 0, 3, 4, 2, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 0, 4, 0, 4, 0, 0, 4, 2, 0, 4, 1, 0, 0, 1, 4, 1, 0, 0, 4, 1, 1, 2, 0, 2, 1, 3, 4, 2, 4, 1, 4, 0, 1, 0, 1, 4, 1, 0, 4, 2, 2, 1, 1, 3, 0, 4, 2, 2, 0, 0, 3, 2, 3, 3, 1, 0, 3, 1, 4, 0, 3, 0, 3, 4, 2, 3, 2, 3, 2, 4, 0, 3, 1, 4, 0, 1, 3, 0, 0, 3, 3, 1, 4, 2, 0, 2, 2, 2, 3, 4, 3, 0, 1, 0, 0, 0, 1, 2, 4, 4, 3, 4, 4, 1, 3, 4, 4, 2, 3, 0, 1, 3, 4, 2, 0, 0, 3, 0, 4, 1, 1, 3, 1, 0, 4, 2, 3, 3, 4, 2, 2, 1, 2, 3, 1, 2, 1, 1, 4, 1, 1, 4, 0, 4, 2, 0, 3, 2, 0, 2, 3, 2, 0, 2, 1, 4, 3, 2, 2, 4, 3, 1, 0, 4, 4, 0, 1, 4, 3, 0, 4, 2, 2, 2, 3, 4, 1, 1, 4, 2, 2, 2, 3, 1, 4, 1, 1, 3, 0, 2, 3, 2, 0, 3, 4, 4, 0, 4, 3, 1, 1, 3, 4, 2, 1, 2, 0, 3, 2, 1, 4, 1, 0, 1, 0, 1, 0, 1, 1, 3, 4, 1, 2, 3, 2, 0, 4, 3, 3, 0, 1, 4, 3, 2, 2, 2, 0, 4, 4, 0, 0, 1, 2] pubkeycol546 = [0, 0, 2, 1, 2, 4, 1, 0, 4, 4, 4, 3, 4, 0, 4, 1, 4, 1, 0, 4, 3, 0, 1, 1, 3, 0, 2, 2, 4, 3, 3, 0, 3, 0, 0, 3, 2, 1, 1, 3, 3, 2, 3, 4, 1, 0, 0, 0, 2, 4, 4, 1, 3, 2, 4, 4, 1, 1, 1, 3, 2, 0, 3, 0, 0, 3, 2, 4, 0, 2, 4, 3, 2, 2, 3, 2, 1, 0, 4, 0, 1, 0, 0, 1, 0, 3, 2, 1, 4, 1, 4, 0, 2, 0, 3, 3, 3, 0, 0, 1, 0, 1, 3, 2, 2, 0, 1, 1, 2, 1, 0, 4, 4, 3, 1, 2, 0, 1, 0, 2, 0, 3, 2, 4, 1, 3, 3, 1, 4, 2, 1, 0, 4, 2, 1, 0, 2, 0, 4, 2, 4, 1, 4, 2, 1, 3, 3, 2, 2, 1, 4, 1, 4, 0, 2, 1, 4, 2, 1, 3, 4, 1, 2, 2, 0, 2, 2, 4, 2, 1, 2, 0, 1, 3, 1, 2, 3, 3, 4, 4, 4, 4, 0, 1, 4, 1, 4, 3, 0, 1, 1, 0, 3, 1, 1, 1, 0, 2, 0, 0, 4, 2, 3, 2, 2, 1, 0, 2, 4, 4, 1, 1, 4, 1, 2, 3, 1, 4, 3, 0, 3, 3, 4, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 3, 1, 3, 3, 0, 1, 4, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 3, 1, 0, 1, 3, 2, 1, 2, 2, 4, 0, 4, 0, 0, 2, 0, 3, 3, 4, 1, 2, 0, 2, 2, 0, 0, 4, 1, 1, 0, 0, 4, 3, 1, 1, 4, 1, 4, 3, 3, 3, 1, 3, 1, 1, 2, 0, 0, 2, 0, 0, 1, 4, 1, 0, 3, 0, 1, 0, 0, 4, 1, 0, 1, 3, 0, 1, 4, 1] pubkeycol547 = [3, 2, 3, 4, 2, 1, 0, 0, 0, 4, 4, 4, 2, 3, 2, 4, 1, 3, 2, 3, 3, 1, 4, 0, 2, 4, 4, 0, 3, 3, 1, 1, 1, 4, 0, 0, 4, 3, 3, 1, 2, 2, 3, 1, 0, 0, 4, 1, 0, 0, 3, 2, 1, 3, 2, 4, 1, 0, 2, 2, 4, 3, 0, 1, 3, 1, 3, 3, 3, 3, 0, 3, 1, 3, 3, 1, 4, 4, 4, 4, 0, 2, 2, 2, 2, 3, 0, 0, 1, 3, 0, 4, 3, 1, 4, 1, 3, 3, 0, 2, 0, 2, 4, 3, 4, 2, 3, 0, 0, 2, 1, 3, 1, 4, 0, 4, 1, 4, 1, 1, 2, 0, 4, 4, 3, 4, 2, 0, 1, 2, 3, 1, 1, 1, 2, 2, 0, 3, 2, 4, 3, 0, 0, 0, 1, 4, 1, 4, 4, 1, 3, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 4, 2, 3, 2, 3, 1, 1, 2, 1, 2, 1, 2, 4, 4, 1, 1, 2, 4, 1, 4, 4, 1, 0, 1, 2, 3, 4, 3, 2, 0, 1, 0, 4, 2, 0, 4, 0, 4, 2, 0, 0, 1, 3, 1, 3, 4, 2, 0, 3, 2, 3, 0, 2, 2, 2, 2, 2, 4, 2, 0, 4, 2, 2, 1, 0, 4, 3, 1, 1, 4, 4, 4, 4, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 4, 4, 4, 3, 3, 3, 2, 1, 4, 0, 1, 2, 2, 4, 4, 4, 1, 4, 2, 2, 2, 2, 4, 4, 2, 1, 4, 0, 4, 2, 4, 4, 0, 1, 1, 2, 3, 0, 3, 0, 3, 4, 4, 4, 2, 4, 0, 0, 3, 4, 2, 2, 3, 3, 0, 2, 0, 3, 0, 2, 3, 0, 1, 3, 0, 2, 2, 0, 1, 4, 0, 3, 0, 4] pubkeycol548 = [4, 2, 3, 4, 1, 2, 2, 1, 0, 2, 1, 3, 2, 1, 4, 2, 0, 3, 3, 4, 3, 1, 0, 3, 3, 3, 0, 4, 2, 3, 4, 2, 4, 2, 0, 3, 2, 4, 2, 2, 0, 4, 3, 4, 4, 3, 0, 2, 0, 3, 2, 4, 2, 2, 3, 4, 2, 3, 4, 0, 2, 4, 3, 0, 4, 1, 0, 3, 2, 2, 1, 4, 3, 0, 0, 3, 2, 2, 0, 3, 1, 3, 3, 2, 3, 4, 3, 4, 3, 4, 0, 0, 1, 4, 1, 2, 0, 2, 3, 1, 2, 3, 2, 1, 4, 2, 1, 1, 1, 4, 0, 3, 3, 3, 3, 1, 0, 2, 1, 4, 3, 0, 4, 3, 0, 4, 2, 1, 3, 1, 1, 1, 4, 0, 2, 0, 3, 2, 0, 1, 4, 4, 2, 4, 0, 1, 0, 2, 2, 4, 0, 0, 0, 4, 0, 4, 1, 3, 3, 0, 0, 0, 2, 3, 2, 1, 4, 3, 2, 3, 0, 1, 3, 2, 0, 2, 1, 1, 0, 2, 4, 3, 0, 4, 3, 2, 4, 2, 2, 3, 2, 1, 2, 1, 2, 0, 3, 0, 4, 0, 4, 4, 2, 4, 4, 1, 4, 0, 4, 2, 2, 1, 4, 2, 1, 4, 0, 2, 2, 1, 3, 3, 0, 1, 2, 1, 4, 2, 0, 0, 0, 4, 2, 4, 4, 3, 3, 3, 3, 4, 2, 4, 4, 1, 4, 3, 0, 1, 3, 1, 3, 3, 4, 4, 1, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 4, 0, 2, 3, 1, 2, 1, 4, 0, 3, 2, 4, 2, 2, 3, 2, 2, 1, 1, 3, 3, 2, 1, 3, 4, 3, 1, 0, 4, 2, 3, 2, 3, 4, 2, 1, 2, 2, 3, 4, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 3, 1, 4] pubkeycol549 = [0, 4, 1, 4, 4, 2, 1, 4, 1, 4, 1, 3, 2, 3, 2, 0, 0, 1, 4, 0, 0, 4, 4, 3, 2, 3, 1, 2, 0, 4, 0, 1, 2, 3, 0, 1, 2, 3, 2, 1, 4, 0, 1, 1, 2, 2, 4, 4, 4, 0, 2, 3, 0, 2, 1, 4, 3, 3, 2, 1, 0, 3, 3, 3, 3, 2, 3, 0, 2, 0, 2, 0, 2, 0, 3, 1, 2, 2, 3, 1, 0, 2, 4, 1, 3, 0, 1, 1, 1, 0, 4, 4, 1, 0, 2, 3, 3, 1, 4, 3, 4, 1, 2, 4, 1, 3, 1, 2, 1, 1, 4, 4, 0, 1, 4, 3, 3, 2, 1, 3, 4, 0, 4, 2, 3, 4, 2, 0, 1, 2, 2, 3, 4, 0, 2, 1, 0, 1, 2, 4, 1, 1, 4, 3, 4, 2, 3, 1, 1, 3, 4, 3, 3, 1, 4, 1, 0, 4, 4, 2, 4, 4, 1, 2, 1, 3, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 4, 1, 1, 0, 4, 1, 3, 0, 2, 3, 2, 3, 1, 0, 4, 3, 3, 4, 2, 3, 3, 2, 0, 2, 3, 1, 1, 3, 4, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 3, 2, 3, 0, 1, 2, 2, 0, 3, 1, 4, 4, 3, 3, 3, 0, 4, 4, 3, 4, 4, 1, 2, 1, 4, 3, 1, 1, 1, 3, 3, 4, 1, 2, 2, 3, 1, 1, 3, 1, 2, 2, 0, 1, 4, 1, 4, 2, 4, 4, 4, 2, 3, 0, 1, 0, 2, 0, 1, 3, 0, 4, 0, 4, 0, 2, 4, 1, 4, 4, 3, 3, 3, 1, 4, 1, 3, 4, 1, 0, 3, 1, 3, 3, 2, 1, 3, 3, 4, 0, 0, 0, 3, 0, 3, 0, 0, 1, 1] pubkeycol550 = [0, 3, 4, 4, 4, 1, 0, 0, 0, 0, 3, 0, 2, 2, 0, 4, 0, 3, 1, 0, 4, 0, 4, 4, 3, 1, 2, 2, 0, 4, 1, 3, 3, 3, 1, 2, 2, 2, 1, 0, 1, 0, 4, 3, 0, 0, 1, 3, 3, 4, 4, 4, 0, 3, 0, 1, 4, 3, 2, 1, 0, 2, 4, 2, 4, 3, 4, 4, 2, 4, 0, 0, 3, 0, 4, 4, 1, 2, 4, 1, 3, 1, 0, 3, 4, 3, 3, 2, 3, 0, 2, 0, 0, 4, 0, 0, 1, 4, 0, 3, 4, 1, 3, 2, 0, 0, 4, 0, 1, 0, 3, 2, 1, 4, 4, 3, 0, 1, 4, 1, 1, 3, 3, 4, 1, 4, 2, 4, 3, 4, 0, 3, 3, 3, 3, 3, 1, 2, 2, 1, 4, 4, 4, 1, 1, 3, 3, 2, 4, 2, 3, 1, 2, 4, 3, 0, 2, 4, 2, 3, 4, 3, 2, 4, 1, 2, 4, 3, 1, 3, 3, 4, 1, 1, 1, 2, 0, 4, 2, 4, 3, 1, 0, 0, 1, 0, 1, 2, 4, 2, 1, 4, 2, 2, 1, 0, 3, 4, 4, 2, 0, 2, 3, 0, 2, 1, 4, 4, 3, 3, 0, 0, 4, 2, 0, 2, 4, 4, 3, 3, 4, 4, 3, 3, 0, 4, 4, 2, 2, 1, 0, 4, 3, 3, 2, 4, 4, 2, 0, 3, 2, 2, 0, 2, 0, 4, 2, 1, 0, 2, 4, 1, 1, 2, 1, 4, 4, 3, 2, 3, 0, 3, 2, 0, 1, 0, 0, 1, 2, 0, 2, 4, 0, 1, 3, 2, 4, 2, 3, 2, 1, 2, 4, 1, 0, 0, 1, 4, 4, 1, 4, 0, 2, 3, 1, 4, 3, 1, 0, 0, 4, 1, 2, 2, 2, 1, 1, 0, 1, 4, 1, 4, 3, 3, 1, 2, 3, 1, 3, 2] pubkeycol551 = [1, 3, 3, 4, 0, 3, 4, 0, 4, 0, 0, 0, 3, 0, 4, 2, 4, 1, 1, 2, 3, 4, 1, 3, 2, 1, 1, 0, 2, 4, 3, 3, 3, 4, 4, 0, 4, 0, 0, 2, 2, 2, 0, 3, 0, 3, 0, 0, 3, 0, 4, 0, 4, 0, 3, 1, 0, 3, 0, 0, 1, 0, 1, 1, 2, 1, 0, 3, 1, 1, 3, 0, 0, 4, 2, 1, 4, 4, 2, 2, 4, 4, 3, 0, 4, 2, 1, 4, 3, 0, 0, 0, 1, 3, 3, 0, 4, 3, 4, 2, 0, 1, 3, 4, 0, 4, 2, 3, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 1, 4, 0, 2, 1, 0, 4, 4, 4, 3, 1, 2, 3, 0, 2, 4, 2, 3, 3, 2, 4, 0, 3, 2, 1, 2, 0, 3, 3, 4, 1, 3, 1, 3, 1, 3, 0, 1, 1, 2, 2, 0, 0, 2, 3, 4, 4, 2, 4, 2, 4, 0, 1, 1, 2, 4, 1, 3, 4, 4, 2, 1, 4, 1, 2, 4, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 4, 4, 3, 0, 0, 1, 2, 0, 1, 0, 3, 2, 4, 0, 4, 1, 1, 2, 1, 0, 3, 1, 0, 4, 0, 3, 3, 0, 2, 2, 0, 2, 3, 4, 1, 1, 2, 4, 1, 0, 3, 1, 1, 2, 2, 4, 2, 1, 1, 1, 1, 1, 0, 1, 3, 4, 4, 4, 1, 3, 2, 3, 2, 4, 2, 1, 2, 2, 4, 0, 2, 4, 1, 3, 3, 4, 3, 4, 4, 4, 1, 3, 2, 1, 3, 2, 1, 0, 4, 4, 4, 4, 1, 0, 0, 1, 4, 3, 0, 4, 2, 4, 2, 4, 1, 1, 3, 4, 0, 3, 1, 4, 4, 3, 4, 4, 0, 4, 3, 3, 0, 4, 4, 3, 4] pubkeycol552 = [4, 2, 0, 2, 0, 0, 0, 3, 3, 4, 3, 3, 2, 0, 0, 0, 2, 1, 0, 4, 0, 3, 0, 3, 2, 3, 4, 0, 2, 4, 0, 3, 4, 4, 1, 2, 0, 3, 0, 4, 0, 1, 4, 3, 4, 1, 4, 3, 0, 0, 0, 2, 1, 1, 2, 0, 4, 3, 4, 0, 1, 1, 1, 1, 3, 2, 1, 3, 4, 3, 1, 4, 2, 3, 1, 4, 3, 0, 1, 0, 0, 4, 4, 0, 3, 2, 4, 4, 4, 2, 4, 1, 4, 0, 0, 4, 4, 4, 4, 3, 2, 0, 4, 1, 4, 2, 2, 2, 1, 1, 0, 3, 4, 1, 1, 4, 0, 0, 3, 2, 1, 1, 0, 2, 0, 3, 1, 1, 1, 3, 0, 3, 1, 1, 0, 0, 0, 3, 0, 3, 1, 1, 3, 2, 3, 0, 0, 0, 3, 2, 3, 2, 2, 1, 0, 1, 4, 1, 0, 0, 3, 1, 0, 0, 3, 1, 1, 2, 0, 2, 1, 4, 3, 1, 3, 3, 2, 2, 0, 2, 3, 2, 3, 1, 2, 4, 2, 1, 2, 3, 0, 1, 0, 3, 0, 1, 0, 3, 3, 3, 4, 2, 2, 4, 4, 3, 1, 0, 3, 1, 1, 0, 3, 4, 2, 3, 4, 2, 4, 0, 2, 0, 3, 3, 1, 3, 2, 2, 4, 0, 1, 3, 2, 4, 0, 0, 2, 0, 0, 1, 0, 3, 0, 0, 3, 4, 2, 0, 3, 0, 1, 3, 0, 4, 2, 4, 0, 1, 4, 3, 4, 4, 0, 3, 4, 3, 2, 3, 2, 2, 4, 1, 0, 1, 3, 2, 1, 1, 3, 1, 2, 1, 3, 4, 0, 0, 1, 1, 0, 2, 4, 4, 2, 1, 4, 2, 3, 4, 1, 3, 0, 1, 4, 1, 0, 1, 0, 0, 0, 4, 4, 0, 3, 2, 1, 0, 4, 2, 3, 4] pubkeycol553 = [4, 2, 0, 4, 4, 1, 0, 3, 1, 2, 2, 1, 4, 4, 2, 3, 1, 0, 4, 2, 2, 3, 1, 4, 3, 3, 1, 1, 1, 4, 3, 2, 4, 2, 3, 0, 0, 3, 0, 1, 0, 0, 1, 1, 3, 0, 1, 2, 0, 2, 2, 3, 2, 0, 2, 2, 4, 1, 2, 1, 0, 0, 0, 4, 0, 2, 2, 0, 4, 1, 2, 3, 3, 3, 3, 1, 3, 1, 0, 2, 1, 1, 0, 4, 1, 1, 2, 1, 2, 2, 4, 0, 0, 0, 3, 4, 0, 4, 1, 3, 4, 4, 2, 1, 3, 4, 0, 2, 4, 1, 4, 4, 1, 4, 4, 2, 2, 1, 2, 2, 4, 2, 1, 0, 1, 1, 2, 3, 1, 0, 4, 3, 2, 2, 3, 1, 0, 0, 1, 2, 2, 0, 3, 1, 3, 1, 3, 2, 4, 1, 1, 1, 1, 2, 0, 0, 1, 0, 4, 1, 3, 1, 0, 0, 2, 0, 1, 4, 0, 3, 3, 1, 0, 0, 1, 0, 1, 0, 0, 4, 4, 4, 1, 0, 4, 0, 4, 3, 3, 4, 0, 2, 4, 3, 4, 4, 1, 1, 1, 3, 3, 0, 2, 4, 0, 3, 1, 1, 3, 3, 0, 3, 3, 1, 0, 3, 3, 0, 4, 0, 1, 3, 3, 0, 1, 3, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 4, 4, 3, 1, 3, 3, 0, 3, 1, 4, 0, 4, 4, 2, 4, 2, 1, 4, 0, 0, 1, 4, 4, 1, 3, 4, 2, 3, 3, 3, 3, 2, 4, 4, 3, 2, 4, 1, 4, 3, 1, 2, 0, 3, 3, 2, 0, 1, 2, 1, 3, 1, 4, 1, 3, 1, 2, 3, 2, 1, 4, 2, 2, 1, 0, 3, 4, 0, 3, 4, 3, 3, 3, 4, 2, 4, 1, 4, 1, 4, 4, 3, 1] pubkeycol554 = [2, 2, 4, 0, 2, 3, 3, 4, 3, 3, 1, 4, 0, 4, 1, 0, 3, 3, 2, 3, 0, 0, 0, 2, 2, 4, 0, 0, 1, 1, 3, 0, 4, 1, 1, 2, 2, 3, 0, 1, 2, 3, 1, 1, 2, 3, 2, 3, 0, 2, 0, 1, 2, 1, 4, 3, 3, 2, 2, 1, 1, 1, 3, 1, 2, 4, 4, 1, 1, 1, 3, 1, 2, 4, 1, 4, 4, 1, 3, 0, 3, 1, 3, 4, 3, 3, 0, 2, 1, 0, 0, 0, 4, 3, 2, 2, 2, 1, 1, 4, 3, 1, 4, 2, 4, 0, 4, 1, 4, 3, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 4, 4, 3, 3, 2, 0, 4, 4, 2, 4, 3, 2, 3, 3, 3, 0, 4, 4, 1, 2, 3, 0, 1, 2, 4, 1, 2, 0, 3, 4, 2, 2, 4, 2, 1, 4, 0, 2, 3, 4, 4, 1, 3, 0, 1, 0, 3, 0, 2, 4, 2, 2, 1, 0, 1, 0, 3, 0, 4, 2, 4, 2, 4, 1, 2, 4, 0, 1, 1, 4, 0, 1, 4, 4, 4, 0, 2, 0, 3, 1, 4, 0, 0, 2, 1, 1, 0, 4, 0, 2, 2, 4, 4, 1, 1, 4, 4, 3, 3, 0, 2, 0, 0, 2, 2, 3, 3, 3, 1, 0, 0, 2, 4, 3, 4, 2, 4, 1, 3, 0, 1, 1, 4, 1, 3, 2, 1, 0, 3, 2, 0, 4, 3, 3, 3, 2, 3, 1, 0, 4, 1, 0, 3, 3, 1, 4, 2, 3, 1, 4, 0, 0, 3, 4, 2, 0, 4, 4, 3, 3, 2, 1, 4, 1, 0, 2, 1, 3, 4, 3, 4, 4, 0, 4, 1, 3, 0, 4, 2, 2, 3, 3, 3, 2, 0, 1, 1, 2, 1, 1, 3, 0, 0, 2, 3, 0, 2, 3, 3, 3] pubkeycol555 = [2, 1, 1, 1, 2, 3, 4, 1, 2, 4, 1, 1, 4, 3, 0, 2, 2, 2, 1, 0, 3, 2, 0, 1, 4, 3, 4, 4, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 3, 3, 1, 4, 2, 2, 2, 1, 4, 3, 2, 1, 0, 4, 0, 1, 1, 2, 3, 3, 1, 2, 0, 1, 3, 0, 4, 2, 2, 1, 3, 2, 3, 1, 3, 2, 4, 1, 2, 0, 1, 1, 3, 2, 3, 4, 2, 2, 0, 2, 4, 3, 0, 4, 3, 3, 0, 3, 3, 0, 0, 0, 4, 2, 1, 4, 3, 4, 0, 3, 4, 4, 3, 4, 3, 2, 0, 3, 4, 1, 4, 4, 3, 0, 4, 2, 0, 2, 2, 2, 1, 4, 0, 4, 4, 1, 3, 2, 3, 0, 1, 2, 3, 0, 3, 1, 4, 2, 1, 3, 1, 3, 1, 3, 2, 0, 0, 4, 4, 3, 0, 3, 0, 0, 2, 0, 3, 1, 4, 3, 2, 2, 2, 4, 4, 4, 3, 0, 1, 2, 0, 0, 2, 1, 2, 4, 3, 4, 1, 2, 1, 1, 1, 0, 1, 3, 0, 2, 0, 3, 3, 3, 1, 3, 1, 2, 4, 1, 2, 3, 2, 2, 4, 3, 0, 3, 1, 1, 1, 2, 3, 2, 0, 0, 1, 4, 3, 0, 2, 1, 0, 1, 4, 2, 1, 0, 3, 1, 4, 4, 1, 3, 1, 2, 2, 1, 1, 3, 3, 2, 4, 0, 4, 1, 4, 0, 1, 4, 1, 2, 1, 1, 3, 4, 1, 1, 1, 0, 2, 0, 1, 4, 3, 2, 2, 1, 2, 3, 3, 4, 2, 1, 2, 0, 3, 0, 1, 4, 4, 2, 4, 4, 1, 3, 1, 3, 0, 3, 3, 3, 3, 4, 4, 3, 1, 3, 1, 1, 4, 1, 0, 0, 2, 3, 3, 0, 3, 3, 2, 2, 0, 3] pubkeycol556 = [4, 0, 0, 3, 0, 3, 3, 2, 2, 1, 2, 0, 0, 3, 0, 3, 4, 1, 3, 2, 4, 1, 2, 3, 1, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 4, 0, 4, 0, 0, 0, 2, 2, 0, 4, 2, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 3, 3, 2, 3, 4, 1, 2, 0, 0, 0, 1, 1, 4, 0, 1, 3, 1, 0, 0, 2, 3, 1, 0, 4, 1, 1, 2, 0, 2, 4, 0, 0, 3, 2, 3, 4, 0, 4, 3, 1, 4, 3, 4, 3, 4, 0, 1, 3, 2, 1, 2, 2, 3, 2, 3, 1, 0, 3, 2, 2, 2, 2, 3, 1, 1, 2, 2, 1, 3, 0, 3, 1, 3, 4, 3, 0, 2, 1, 3, 0, 0, 0, 3, 1, 1, 4, 0, 2, 3, 1, 2, 0, 1, 1, 4, 3, 3, 2, 3, 0, 2, 4, 4, 1, 4, 0, 3, 3, 1, 3, 2, 3, 1, 4, 4, 2, 3, 0, 3, 2, 4, 1, 0, 4, 4, 0, 4, 2, 2, 4, 1, 3, 3, 4, 3, 2, 3, 1, 4, 1, 4, 2, 1, 3, 1, 0, 2, 2, 0, 0, 3, 4, 3, 4, 1, 1, 4, 3, 1, 4, 1, 0, 0, 0, 2, 2, 1, 3, 2, 0, 4, 2, 2, 0, 0, 3, 3, 1, 1, 4, 0, 2, 4, 3, 4, 0, 0, 2, 1, 4, 2, 0, 2, 3, 3, 2, 2, 0, 2, 4, 0, 1, 4, 2, 4, 0, 2, 4, 1, 1, 3, 1, 1, 4, 3, 2, 2, 1, 1, 3, 0, 3, 4, 3, 2, 0, 3, 1, 2, 4, 2, 0, 4, 1, 0, 0, 1, 2, 1, 1, 3, 0, 2, 1, 2, 0, 4, 2, 3, 0, 2, 4, 4, 2, 2, 3, 0, 4, 0, 4] pubkeycol557 = [4, 0, 4, 0, 3, 0, 1, 1, 0, 1, 4, 1, 4, 4, 1, 2, 4, 3, 3, 2, 4, 0, 4, 3, 3, 4, 4, 0, 4, 1, 2, 3, 4, 3, 3, 3, 3, 2, 4, 4, 4, 3, 1, 4, 1, 2, 0, 2, 1, 1, 3, 4, 1, 0, 2, 1, 4, 1, 2, 0, 4, 3, 4, 2, 2, 0, 3, 2, 3, 3, 1, 3, 1, 2, 2, 0, 0, 2, 2, 4, 0, 4, 0, 4, 1, 3, 3, 1, 0, 3, 0, 2, 4, 3, 1, 0, 4, 0, 4, 4, 4, 4, 3, 4, 2, 3, 1, 2, 1, 4, 3, 2, 1, 3, 0, 1, 3, 2, 2, 3, 1, 4, 1, 1, 0, 3, 4, 2, 0, 0, 3, 1, 4, 3, 0, 4, 0, 3, 4, 2, 2, 0, 4, 2, 0, 1, 2, 0, 1, 2, 1, 4, 3, 3, 3, 1, 0, 2, 2, 1, 3, 2, 1, 3, 0, 1, 4, 1, 2, 3, 2, 0, 3, 0, 3, 4, 2, 3, 4, 2, 1, 4, 2, 2, 2, 3, 2, 1, 2, 2, 4, 3, 3, 0, 3, 4, 1, 0, 0, 1, 1, 1, 2, 4, 3, 4, 4, 2, 2, 2, 2, 0, 1, 2, 3, 3, 3, 0, 0, 0, 1, 1, 0, 1, 0, 2, 3, 0, 4, 2, 2, 2, 2, 4, 0, 4, 2, 0, 2, 0, 2, 2, 1, 1, 3, 1, 4, 2, 0, 4, 1, 2, 2, 3, 4, 1, 0, 2, 1, 2, 4, 1, 2, 0, 0, 1, 2, 4, 0, 2, 3, 4, 0, 3, 1, 3, 4, 1, 4, 3, 2, 1, 0, 0, 1, 0, 0, 4, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 3, 2, 1, 0, 4, 2, 0, 4, 2, 2, 1, 0, 0, 3, 0, 0, 0, 0, 3] pubkeycol558 = [3, 4, 2, 0, 2, 3, 4, 3, 1, 4, 3, 1, 3, 1, 2, 1, 3, 3, 2, 4, 4, 3, 1, 3, 4, 3, 3, 4, 3, 1, 4, 2, 0, 3, 0, 0, 3, 2, 1, 0, 2, 4, 1, 3, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 4, 0, 3, 3, 2, 1, 2, 1, 2, 0, 2, 3, 0, 3, 0, 0, 1, 0, 4, 0, 3, 4, 2, 3, 3, 4, 4, 1, 0, 1, 0, 0, 3, 2, 0, 1, 0, 4, 0, 1, 0, 4, 2, 3, 2, 4, 0, 1, 2, 4, 2, 3, 2, 2, 3, 0, 3, 4, 4, 4, 0, 0, 1, 2, 4, 2, 4, 1, 0, 1, 2, 4, 1, 4, 2, 3, 1, 4, 1, 0, 0, 1, 0, 2, 0, 2, 3, 1, 0, 0, 0, 2, 2, 1, 1, 3, 0, 0, 2, 3, 1, 4, 2, 1, 0, 3, 0, 1, 2, 4, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 4, 1, 3, 3, 0, 3, 1, 2, 1, 4, 0, 4, 4, 1, 3, 3, 2, 2, 0, 1, 1, 1, 2, 4, 3, 4, 1, 1, 3, 4, 4, 3, 4, 0, 3, 2, 2, 3, 2, 4, 0, 1, 1, 3, 3, 4, 3, 0, 1, 2, 3, 0, 3, 2, 0, 0, 4, 4, 2, 3, 4, 3, 1, 0, 1, 3, 1, 0, 4, 4, 2, 1, 3, 0, 1, 1, 1, 0, 1, 4, 4, 3, 3, 0, 4, 1, 0, 0, 2, 4, 0, 1, 2, 1, 2, 3, 0, 3, 1, 1, 1, 1, 2, 1, 4, 4, 4, 1, 3, 1, 2, 2, 1, 4, 0, 0, 2, 2, 4, 0, 3, 3, 4, 1, 4, 3, 1, 3, 3, 4, 2, 0, 3, 4, 4, 4, 4, 4, 1, 2, 4, 3, 4, 4, 3, 2] pubkeycol559 = [0, 0, 4, 2, 3, 4, 1, 3, 0, 4, 0, 1, 0, 4, 2, 0, 2, 1, 0, 1, 0, 3, 3, 0, 2, 1, 1, 1, 4, 2, 2, 0, 2, 1, 4, 4, 4, 1, 4, 1, 3, 1, 2, 0, 0, 4, 3, 3, 1, 3, 0, 4, 4, 0, 2, 1, 3, 2, 2, 4, 2, 0, 0, 2, 4, 1, 2, 1, 4, 0, 3, 4, 0, 2, 2, 1, 4, 1, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 1, 0, 1, 4, 4, 4, 1, 4, 4, 2, 4, 4, 2, 3, 4, 3, 4, 4, 3, 4, 1, 3, 0, 0, 2, 3, 1, 3, 2, 3, 4, 2, 2, 2, 0, 0, 1, 2, 0, 1, 3, 0, 3, 3, 2, 3, 1, 1, 1, 0, 4, 3, 1, 1, 0, 2, 3, 3, 3, 1, 1, 1, 1, 2, 3, 0, 3, 0, 0, 3, 2, 1, 3, 0, 0, 2, 0, 4, 1, 2, 0, 0, 3, 4, 1, 1, 1, 1, 1, 0, 0, 4, 0, 3, 0, 3, 4, 0, 0, 1, 3, 1, 3, 4, 0, 0, 2, 4, 1, 4, 1, 3, 4, 1, 1, 0, 0, 0, 3, 0, 2, 3, 3, 1, 0, 0, 3, 3, 0, 2, 4, 2, 3, 1, 0, 4, 3, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 4, 4, 0, 1, 3, 2, 4, 3, 0, 4, 1, 4, 0, 4, 0, 2, 2, 3, 4, 3, 2, 2, 0, 4, 2, 2, 1, 2, 0, 3, 1, 4, 1, 4, 1, 3, 1, 4, 2, 2, 0, 4, 0, 1, 3, 4, 1, 0, 3, 2, 3, 0, 0, 0, 2, 1, 3, 1, 0, 3, 2, 2, 3, 2, 0, 2, 4, 4, 3, 0, 0, 1, 4, 2, 1, 3, 3, 3, 2, 2] pubkeycol560 = [2, 2, 0, 1, 4, 4, 2, 0, 1, 2, 3, 3, 1, 0, 4, 3, 0, 4, 3, 2, 1, 0, 3, 2, 3, 1, 2, 4, 1, 2, 2, 1, 0, 4, 1, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 2, 2, 4, 3, 1, 1, 1, 4, 0, 0, 3, 2, 4, 0, 1, 2, 3, 3, 2, 2, 1, 1, 3, 1, 1, 4, 3, 4, 3, 4, 2, 3, 0, 2, 0, 3, 2, 1, 3, 1, 0, 4, 2, 3, 0, 1, 4, 2, 3, 4, 4, 3, 3, 3, 0, 3, 1, 0, 1, 0, 2, 0, 1, 1, 4, 2, 0, 1, 0, 2, 4, 0, 2, 0, 0, 1, 3, 0, 4, 3, 3, 3, 0, 4, 0, 0, 2, 2, 3, 3, 1, 3, 1, 0, 0, 4, 1, 1, 0, 1, 4, 1, 3, 0, 3, 3, 4, 0, 4, 1, 0, 0, 4, 3, 2, 4, 3, 4, 3, 0, 1, 4, 4, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 3, 0, 0, 0, 3, 0, 0, 3, 1, 2, 1, 2, 1, 4, 3, 3, 1, 1, 2, 1, 0, 2, 4, 1, 2, 0, 4, 3, 2, 2, 0, 4, 1, 1, 2, 4, 4, 4, 4, 4, 1, 0, 3, 2, 2, 4, 1, 0, 3, 3, 2, 3, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 4, 2, 2, 0, 4, 4, 3, 0, 3, 3, 4, 3, 3, 3, 4, 1, 4, 1, 3, 2, 4, 1, 1, 3, 0, 2, 0, 4, 3, 1, 0, 2, 3, 4, 0, 1, 3, 0, 4, 4, 3, 4, 4, 0, 0, 0, 1, 4, 2, 0, 2, 3, 3, 4, 0, 3, 0, 1, 1, 1, 3, 2, 0, 3, 1, 3, 1, 4, 2, 4, 3, 4, 1, 2, 4, 4, 1, 0, 0, 3] pubkeycol561 = [1, 3, 4, 1, 2, 1, 3, 3, 3, 4, 2, 4, 1, 4, 4, 3, 2, 2, 3, 0, 0, 4, 1, 4, 4, 3, 3, 1, 3, 2, 2, 2, 1, 2, 1, 4, 4, 1, 3, 3, 4, 2, 2, 1, 2, 0, 3, 4, 4, 2, 4, 1, 4, 4, 2, 1, 4, 4, 4, 1, 1, 2, 3, 0, 3, 0, 3, 1, 3, 1, 4, 1, 4, 3, 4, 2, 1, 0, 1, 4, 4, 3, 3, 4, 3, 0, 3, 3, 0, 0, 3, 2, 2, 4, 1, 0, 0, 2, 2, 2, 4, 0, 4, 2, 4, 4, 1, 2, 2, 0, 4, 4, 4, 3, 4, 2, 2, 1, 4, 2, 4, 4, 1, 1, 2, 4, 3, 1, 0, 1, 1, 4, 1, 3, 2, 0, 1, 4, 4, 1, 2, 4, 3, 4, 2, 3, 1, 3, 1, 1, 0, 2, 2, 3, 4, 4, 3, 4, 3, 0, 2, 2, 3, 1, 3, 0, 3, 1, 0, 2, 2, 2, 3, 2, 4, 4, 0, 4, 2, 0, 1, 4, 4, 2, 3, 1, 0, 1, 2, 2, 4, 2, 4, 0, 1, 3, 1, 4, 2, 1, 0, 1, 4, 0, 1, 2, 1, 4, 2, 2, 2, 3, 2, 0, 3, 3, 4, 2, 1, 2, 0, 2, 2, 4, 4, 2, 2, 4, 3, 1, 0, 4, 4, 4, 4, 0, 3, 1, 2, 2, 1, 4, 2, 1, 3, 4, 3, 3, 2, 4, 3, 4, 0, 2, 2, 2, 0, 4, 2, 3, 4, 4, 4, 1, 3, 4, 3, 2, 3, 0, 2, 4, 0, 4, 0, 1, 4, 3, 4, 4, 3, 4, 0, 4, 2, 0, 0, 2, 0, 1, 4, 0, 3, 1, 0, 3, 3, 3, 0, 1, 3, 3, 1, 1, 2, 1, 0, 1, 4, 0, 0, 3, 1, 0, 1, 3, 1, 1, 0, 1] pubkeycol562 = [3, 3, 1, 4, 3, 0, 4, 4, 0, 1, 4, 0, 3, 4, 2, 2, 1, 3, 3, 4, 4, 4, 2, 0, 0, 3, 0, 4, 3, 4, 0, 2, 3, 4, 4, 1, 1, 3, 1, 0, 2, 3, 3, 0, 1, 2, 4, 4, 0, 4, 4, 1, 1, 1, 2, 0, 0, 3, 2, 2, 2, 1, 2, 3, 0, 1, 2, 2, 0, 2, 1, 4, 1, 1, 1, 2, 0, 4, 1, 2, 3, 0, 4, 0, 3, 2, 2, 0, 1, 4, 0, 3, 1, 4, 2, 1, 3, 2, 4, 4, 2, 0, 4, 2, 2, 4, 4, 1, 4, 0, 1, 0, 3, 4, 3, 0, 3, 2, 1, 2, 0, 2, 3, 1, 2, 0, 4, 3, 1, 2, 3, 1, 2, 2, 3, 1, 0, 2, 3, 1, 1, 0, 0, 3, 1, 3, 4, 3, 4, 2, 0, 2, 2, 0, 0, 1, 2, 3, 1, 1, 1, 1, 2, 4, 2, 0, 3, 2, 3, 0, 1, 1, 0, 1, 2, 0, 1, 3, 1, 0, 2, 0, 1, 3, 3, 2, 1, 1, 0, 3, 3, 3, 1, 3, 3, 4, 2, 4, 2, 4, 3, 4, 2, 4, 3, 3, 1, 0, 1, 3, 0, 3, 3, 0, 3, 3, 1, 3, 4, 1, 2, 3, 3, 2, 3, 4, 4, 4, 3, 0, 1, 1, 4, 4, 0, 4, 3, 4, 1, 0, 3, 4, 2, 3, 1, 1, 4, 3, 1, 1, 4, 4, 2, 3, 0, 4, 1, 4, 1, 2, 2, 3, 1, 0, 4, 1, 1, 3, 0, 3, 1, 0, 1, 3, 1, 1, 2, 4, 3, 3, 2, 2, 3, 2, 0, 4, 4, 3, 1, 4, 1, 2, 1, 1, 3, 4, 3, 4, 2, 4, 4, 1, 4, 2, 1, 2, 2, 2, 2, 0, 1, 0, 3, 0, 4, 4, 0, 4, 1, 3] pubkeycol563 = [2, 1, 1, 2, 1, 4, 1, 3, 4, 4, 2, 4, 2, 4, 4, 3, 2, 1, 3, 4, 3, 3, 4, 3, 1, 0, 0, 4, 2, 3, 3, 0, 2, 4, 3, 1, 3, 1, 1, 3, 2, 2, 0, 0, 0, 0, 4, 1, 3, 2, 0, 4, 3, 1, 2, 1, 0, 2, 4, 2, 3, 4, 4, 3, 3, 2, 3, 0, 2, 3, 2, 1, 1, 2, 1, 0, 3, 2, 4, 1, 2, 1, 0, 1, 0, 4, 4, 2, 3, 1, 4, 2, 3, 2, 2, 2, 0, 2, 3, 4, 3, 2, 3, 3, 2, 1, 0, 4, 2, 0, 0, 2, 1, 2, 4, 3, 2, 1, 3, 0, 1, 1, 4, 1, 3, 4, 2, 3, 2, 3, 0, 2, 3, 1, 4, 1, 4, 0, 3, 0, 1, 3, 1, 4, 1, 2, 1, 4, 2, 2, 0, 2, 2, 2, 3, 1, 2, 3, 0, 0, 1, 1, 3, 0, 4, 4, 4, 0, 4, 4, 2, 2, 0, 3, 0, 1, 2, 4, 3, 4, 1, 3, 0, 0, 2, 2, 1, 0, 3, 0, 2, 3, 4, 1, 4, 3, 1, 1, 1, 3, 0, 1, 3, 2, 4, 0, 3, 4, 3, 1, 0, 1, 4, 4, 4, 0, 3, 0, 0, 3, 1, 4, 3, 4, 3, 1, 3, 2, 4, 2, 4, 1, 1, 4, 0, 2, 2, 2, 2, 0, 4, 3, 4, 3, 4, 2, 4, 0, 1, 1, 4, 1, 2, 0, 0, 4, 2, 0, 3, 3, 1, 2, 4, 1, 4, 2, 1, 3, 2, 2, 2, 4, 2, 3, 1, 3, 1, 2, 3, 4, 4, 0, 2, 4, 1, 2, 4, 1, 1, 3, 4, 0, 0, 4, 4, 4, 3, 3, 2, 0, 0, 0, 2, 2, 4, 2, 0, 4, 2, 3, 0, 2, 1, 4, 3, 3, 0, 3, 0, 3] pubkeycol564 = [2, 2, 4, 1, 3, 1, 4, 4, 4, 2, 3, 4, 1, 0, 2, 0, 0, 3, 4, 4, 3, 3, 0, 0, 0, 1, 2, 2, 1, 2, 3, 1, 3, 4, 1, 1, 1, 3, 3, 0, 1, 4, 1, 2, 0, 1, 0, 4, 4, 0, 0, 2, 1, 2, 0, 2, 3, 1, 2, 0, 1, 1, 1, 2, 3, 2, 4, 3, 2, 1, 3, 1, 2, 0, 4, 1, 4, 3, 1, 3, 2, 1, 4, 2, 3, 4, 1, 4, 4, 1, 1, 2, 4, 2, 2, 4, 2, 3, 1, 1, 4, 4, 1, 2, 2, 0, 3, 1, 0, 3, 2, 1, 0, 0, 2, 3, 2, 3, 1, 2, 0, 2, 0, 4, 3, 3, 2, 3, 2, 4, 0, 0, 0, 2, 4, 1, 4, 3, 1, 1, 3, 1, 2, 3, 2, 0, 4, 4, 0, 0, 1, 3, 2, 1, 2, 3, 0, 4, 3, 4, 3, 3, 0, 0, 4, 3, 3, 4, 2, 0, 3, 2, 2, 1, 0, 2, 3, 1, 4, 2, 2, 0, 1, 4, 3, 3, 3, 4, 2, 0, 3, 3, 2, 4, 2, 1, 0, 4, 3, 4, 1, 1, 3, 3, 2, 2, 1, 3, 2, 4, 1, 2, 1, 4, 3, 4, 0, 0, 2, 1, 4, 0, 3, 3, 4, 1, 2, 0, 1, 4, 4, 0, 1, 1, 0, 3, 1, 3, 1, 1, 0, 3, 2, 1, 3, 2, 1, 0, 2, 1, 3, 0, 1, 1, 3, 1, 0, 0, 2, 0, 2, 1, 4, 1, 4, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 4, 1, 2, 4, 3, 4, 1, 4, 1, 3, 3, 0, 3, 4, 2, 0, 0, 3, 0, 3, 4, 2, 3, 3, 0, 0, 3, 0, 1, 3, 0, 1, 0, 4, 0, 1, 2, 3, 1, 3, 4, 3, 4] pubkeycol565 = [2, 1, 1, 0, 4, 0, 2, 0, 3, 4, 4, 1, 3, 1, 4, 0, 1, 3, 1, 3, 0, 0, 4, 1, 3, 2, 1, 4, 0, 1, 3, 0, 3, 3, 3, 4, 4, 4, 4, 1, 0, 3, 4, 3, 4, 2, 4, 3, 4, 0, 4, 1, 1, 4, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 4, 0, 1, 2, 2, 3, 2, 2, 1, 3, 4, 1, 3, 1, 1, 1, 3, 4, 1, 1, 4, 0, 1, 3, 0, 0, 3, 0, 1, 1, 2, 0, 1, 1, 3, 0, 2, 1, 4, 4, 3, 3, 0, 3, 2, 2, 3, 3, 4, 0, 1, 0, 2, 4, 3, 4, 3, 2, 1, 0, 3, 3, 3, 2, 4, 4, 2, 0, 4, 0, 3, 2, 1, 2, 4, 1, 4, 3, 4, 1, 2, 0, 0, 0, 4, 1, 2, 4, 4, 2, 3, 2, 0, 4, 4, 3, 4, 2, 4, 4, 3, 1, 3, 4, 2, 4, 2, 1, 1, 4, 2, 4, 1, 3, 0, 1, 1, 0, 4, 2, 4, 0, 3, 3, 1, 2, 4, 3, 3, 4, 1, 0, 4, 0, 1, 4, 0, 3, 1, 4, 2, 1, 4, 2, 0, 3, 1, 4, 2, 1, 3, 0, 4, 3, 2, 3, 4, 2, 3, 2, 2, 1, 1, 2, 4, 4, 1, 2, 4, 4, 2, 3, 1, 1, 1, 4, 1, 4, 0, 3, 3, 1, 4, 0, 0, 3, 1, 2, 0, 2, 2, 3, 0, 4, 3, 0, 1, 3, 2, 2, 3, 1, 3, 4, 1, 1, 0, 0, 2, 0, 2, 3, 1, 4, 3, 0, 1, 3, 4, 1, 1, 4, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 4, 3, 2, 0, 2, 0, 0, 3, 2, 0, 2, 4, 1, 2, 3, 1, 1, 1, 3, 0, 0, 4, 3] pubkeycol566 = [0, 1, 1, 2, 2, 3, 4, 1, 2, 0, 0, 4, 4, 2, 0, 2, 0, 4, 1, 1, 2, 1, 1, 0, 4, 0, 3, 0, 1, 4, 3, 4, 2, 0, 1, 1, 1, 4, 0, 4, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 4, 3, 4, 0, 0, 4, 3, 3, 1, 0, 2, 2, 0, 4, 0, 3, 1, 1, 1, 0, 4, 1, 2, 3, 3, 3, 0, 4, 2, 2, 2, 4, 0, 2, 0, 2, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 2, 0, 2, 0, 2, 1, 0, 1, 0, 4, 1, 3, 1, 4, 3, 0, 0, 3, 4, 3, 3, 0, 2, 3, 0, 0, 3, 3, 3, 4, 0, 4, 4, 2, 3, 4, 3, 2, 0, 4, 3, 2, 4, 1, 0, 4, 3, 2, 4, 1, 1, 2, 2, 1, 0, 3, 1, 1, 2, 2, 2, 0, 1, 0, 4, 4, 1, 4, 2, 3, 2, 1, 4, 2, 3, 2, 3, 3, 0, 3, 3, 3, 4, 3, 2, 2, 0, 1, 2, 3, 3, 1, 1, 0, 2, 2, 0, 3, 2, 2, 0, 0, 3, 4, 2, 2, 4, 1, 3, 1, 3, 1, 3, 2, 3, 3, 4, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 0, 3, 0, 1, 2, 3, 0, 4, 0, 2, 3, 3, 2, 3, 1, 2, 4, 0, 4, 2, 2, 4, 2, 3, 2, 4, 4, 3, 1, 1, 4, 1, 0, 2, 2, 3, 3, 4, 2, 3, 1, 4, 3, 1, 4, 0, 4, 2, 3, 3, 3, 1, 2, 1, 0, 2, 1, 4, 1, 0, 0, 2, 0, 3, 0, 1, 2, 1, 3, 4, 3, 4, 2, 2, 3, 1, 0, 2, 4, 0, 2, 3, 2, 3, 4, 2, 0, 1, 1, 3, 4, 0, 4, 0] pubkeycol567 = [3, 1, 0, 2, 2, 0, 1, 2, 2, 3, 3, 3, 2, 4, 0, 2, 0, 2, 4, 0, 3, 2, 3, 3, 3, 3, 4, 1, 0, 3, 3, 1, 0, 1, 1, 0, 1, 4, 1, 1, 4, 2, 3, 4, 3, 4, 4, 0, 2, 0, 0, 0, 1, 0, 3, 2, 4, 0, 0, 4, 0, 2, 1, 2, 4, 1, 0, 1, 0, 1, 0, 1, 4, 1, 2, 4, 1, 1, 3, 0, 2, 3, 4, 1, 2, 2, 4, 2, 3, 2, 2, 0, 3, 4, 3, 2, 4, 3, 4, 0, 4, 4, 2, 2, 0, 4, 3, 4, 0, 2, 1, 2, 1, 3, 2, 0, 3, 1, 0, 3, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 2, 1, 4, 4, 3, 0, 0, 3, 1, 0, 3, 2, 2, 1, 3, 4, 0, 3, 4, 3, 1, 1, 1, 1, 4, 3, 3, 1, 4, 3, 4, 1, 4, 1, 2, 4, 2, 3, 3, 4, 0, 3, 3, 0, 1, 1, 3, 3, 4, 3, 1, 2, 4, 1, 2, 3, 2, 0, 1, 1, 3, 1, 0, 0, 3, 3, 2, 1, 3, 2, 4, 4, 4, 3, 4, 2, 2, 1, 2, 2, 4, 3, 3, 2, 3, 0, 4, 1, 2, 3, 4, 4, 3, 1, 0, 2, 3, 1, 4, 0, 4, 3, 4, 2, 2, 1, 3, 2, 4, 0, 2, 4, 0, 1, 0, 1, 2, 4, 0, 1, 2, 2, 2, 0, 0, 2, 4, 2, 1, 3, 0, 4, 3, 3, 1, 3, 2, 1, 3, 2, 0, 4, 0, 1, 0, 4, 1, 0, 2, 0, 1, 1, 1, 1, 3, 4, 3, 4, 3, 4, 3, 4, 1, 4, 4, 1, 0, 4, 4, 2, 1, 1, 0, 1, 1, 4, 3, 4, 4, 0, 0, 3, 1, 3, 1, 0, 3, 0, 1] pubkeycol568 = [4, 1, 4, 1, 4, 2, 4, 2, 2, 4, 1, 1, 3, 1, 0, 3, 2, 2, 1, 1, 2, 4, 0, 0, 0, 2, 2, 4, 3, 4, 3, 2, 3, 0, 2, 2, 2, 3, 3, 4, 4, 1, 1, 1, 0, 1, 0, 2, 4, 0, 1, 4, 2, 4, 1, 3, 0, 4, 1, 4, 4, 4, 0, 3, 2, 4, 2, 1, 1, 1, 3, 1, 1, 0, 0, 0, 1, 2, 3, 2, 4, 2, 1, 3, 3, 1, 1, 3, 3, 4, 0, 4, 1, 1, 0, 0, 3, 1, 1, 2, 0, 1, 1, 3, 4, 0, 1, 4, 2, 1, 0, 0, 3, 1, 3, 3, 2, 1, 3, 1, 1, 3, 3, 3, 1, 2, 4, 2, 1, 2, 2, 3, 4, 2, 0, 0, 4, 0, 4, 4, 1, 4, 0, 1, 2, 2, 0, 3, 0, 4, 3, 3, 3, 4, 3, 0, 1, 4, 2, 4, 0, 3, 3, 2, 1, 1, 1, 3, 0, 1, 3, 1, 1, 0, 0, 3, 2, 0, 1, 2, 2, 4, 2, 0, 0, 0, 0, 4, 0, 2, 4, 4, 2, 1, 4, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 3, 3, 0, 3, 2, 3, 2, 2, 2, 2, 1, 0, 1, 4, 4, 2, 2, 3, 2, 1, 3, 0, 1, 4, 4, 4, 4, 2, 3, 4, 4, 2, 4, 2, 4, 2, 4, 0, 0, 4, 1, 1, 4, 2, 1, 3, 1, 4, 0, 1, 3, 0, 4, 0, 3, 3, 0, 4, 3, 4, 1, 2, 1, 3, 2, 0, 0, 1, 2, 0, 3, 1, 2, 0, 4, 4, 2, 3, 2, 2, 1, 4, 2, 4, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 1, 0, 4, 0, 3, 0, 1, 3, 1, 2, 2, 4, 0, 1] pubkeycol569 = [4, 1, 0, 4, 2, 3, 4, 1, 1, 1, 2, 0, 2, 2, 3, 2, 2, 0, 2, 3, 3, 2, 0, 1, 3, 3, 2, 0, 3, 3, 0, 3, 1, 2, 3, 4, 2, 0, 3, 1, 2, 1, 3, 4, 0, 2, 1, 4, 3, 0, 2, 4, 4, 1, 4, 0, 3, 4, 4, 0, 0, 3, 0, 0, 3, 0, 4, 1, 2, 2, 3, 0, 1, 3, 1, 3, 3, 2, 3, 4, 3, 3, 0, 0, 2, 1, 0, 3, 1, 3, 2, 0, 0, 0, 0, 2, 0, 0, 0, 4, 4, 2, 0, 3, 2, 4, 2, 1, 3, 1, 0, 3, 0, 1, 0, 4, 4, 2, 3, 2, 2, 4, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 1, 3, 2, 4, 3, 1, 4, 0, 4, 1, 3, 1, 2, 2, 0, 1, 3, 2, 1, 4, 0, 2, 3, 2, 2, 1, 4, 0, 3, 3, 3, 4, 2, 1, 1, 0, 2, 0, 2, 3, 0, 2, 3, 4, 1, 2, 4, 0, 4, 4, 3, 1, 1, 0, 2, 0, 3, 3, 3, 4, 1, 0, 2, 4, 2, 1, 4, 2, 0, 0, 0, 1, 0, 0, 3, 2, 1, 3, 0, 0, 4, 3, 1, 0, 4, 4, 2, 4, 2, 3, 2, 3, 0, 1, 2, 0, 4, 0, 3, 4, 0, 4, 1, 4, 2, 1, 4, 0, 0, 1, 2, 0, 3, 1, 3, 0, 2, 0, 3, 1, 3, 1, 3, 4, 3, 0, 0, 0, 0, 4, 3, 4, 4, 2, 1, 0, 2, 4, 1, 3, 1, 3, 1, 4, 4, 2, 2, 0, 2, 2, 0, 1, 3, 2, 3, 3, 1, 4, 1, 0, 3, 4, 1, 4, 0, 1, 0, 4, 4, 2, 4, 2, 3, 3, 3, 4, 1, 0, 4, 2, 2] pubkeycol570 = [2, 1, 3, 1, 3, 1, 3, 1, 1, 4, 0, 1, 3, 3, 4, 3, 0, 2, 0, 3, 3, 3, 0, 2, 3, 4, 4, 2, 2, 2, 3, 1, 0, 0, 1, 0, 1, 0, 2, 1, 4, 3, 4, 4, 3, 0, 4, 3, 4, 2, 3, 3, 0, 1, 0, 0, 4, 3, 1, 2, 3, 0, 2, 4, 2, 2, 4, 2, 3, 2, 4, 0, 2, 3, 1, 0, 3, 2, 2, 2, 2, 2, 4, 0, 4, 3, 2, 4, 2, 2, 2, 0, 1, 3, 0, 3, 1, 2, 4, 4, 2, 0, 2, 2, 1, 3, 2, 1, 2, 3, 0, 3, 2, 0, 4, 1, 4, 2, 3, 3, 1, 0, 2, 3, 3, 4, 1, 4, 0, 3, 4, 4, 0, 0, 2, 2, 4, 3, 2, 0, 3, 3, 3, 1, 2, 0, 1, 1, 1, 0, 4, 3, 4, 2, 1, 1, 1, 4, 1, 2, 0, 3, 3, 0, 4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 2, 0, 1, 3, 1, 1, 0, 2, 2, 1, 1, 4, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 3, 1, 0, 0, 4, 4, 2, 4, 1, 3, 3, 0, 2, 2, 4, 2, 2, 2, 1, 4, 0, 2, 3, 0, 3, 3, 2, 1, 1, 1, 3, 2, 2, 1, 1, 3, 2, 3, 1, 4, 2, 4, 1, 0, 1, 3, 4, 3, 1, 0, 1, 4, 4, 0, 2, 1, 3, 4, 0, 3, 4, 4, 4, 0, 3, 4, 4, 0, 0, 2, 1, 2, 4, 4, 2, 2, 1, 4, 0, 4, 3, 0, 3, 4, 0, 1, 2, 1, 2, 4, 1, 1, 4, 0, 2, 3, 1, 0, 3, 0, 0, 1, 4, 0, 4, 3, 2, 2, 1, 0, 2, 4, 2, 3, 1, 1, 3, 0, 2, 2] pubkeycol571 = [3, 2, 0, 2, 3, 0, 4, 3, 1, 1, 1, 3, 3, 0, 0, 2, 2, 4, 1, 0, 2, 2, 0, 0, 3, 1, 4, 2, 2, 4, 4, 3, 0, 3, 1, 4, 4, 1, 4, 3, 3, 4, 3, 4, 0, 1, 3, 3, 4, 3, 0, 3, 0, 1, 3, 3, 1, 2, 3, 1, 2, 2, 1, 3, 3, 0, 4, 1, 3, 1, 2, 4, 3, 2, 1, 4, 3, 0, 4, 1, 0, 0, 3, 2, 1, 0, 2, 4, 1, 2, 2, 0, 3, 1, 3, 0, 3, 4, 0, 3, 4, 1, 1, 3, 3, 0, 1, 0, 1, 0, 0, 4, 0, 2, 4, 0, 4, 3, 2, 1, 2, 0, 1, 1, 1, 0, 3, 0, 4, 2, 2, 4, 0, 4, 1, 2, 2, 2, 3, 2, 0, 1, 2, 3, 2, 2, 1, 1, 0, 2, 3, 1, 0, 2, 3, 1, 0, 2, 1, 1, 4, 0, 2, 0, 1, 3, 4, 4, 2, 2, 0, 2, 3, 2, 4, 4, 3, 3, 0, 3, 2, 0, 4, 3, 1, 2, 1, 3, 1, 4, 0, 4, 2, 1, 0, 3, 3, 0, 3, 3, 2, 3, 4, 2, 1, 1, 2, 3, 4, 4, 3, 4, 3, 0, 3, 2, 4, 1, 4, 2, 0, 4, 4, 2, 4, 4, 0, 0, 3, 3, 3, 0, 4, 3, 1, 3, 1, 2, 1, 3, 2, 1, 4, 1, 2, 2, 4, 3, 1, 4, 3, 1, 0, 1, 0, 1, 0, 2, 2, 0, 4, 4, 2, 4, 0, 3, 1, 3, 0, 3, 1, 3, 4, 4, 1, 2, 4, 4, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 3, 3, 0, 4, 0, 3, 4, 3, 4, 1, 1, 1, 0, 4, 4, 3, 2, 1, 3, 1, 0, 3, 2, 4, 1] pubkeycol572 = [2, 2, 2, 0, 3, 3, 3, 3, 1, 1, 4, 3, 3, 0, 3, 4, 3, 3, 2, 0, 4, 4, 3, 3, 0, 2, 4, 4, 3, 0, 1, 0, 1, 4, 1, 2, 2, 2, 4, 1, 0, 2, 4, 2, 3, 2, 4, 2, 3, 1, 1, 0, 2, 4, 0, 2, 4, 0, 4, 0, 2, 4, 1, 0, 3, 2, 3, 0, 4, 1, 2, 0, 0, 0, 3, 2, 0, 0, 1, 2, 4, 0, 0, 4, 3, 1, 3, 1, 4, 2, 0, 1, 4, 0, 4, 3, 3, 3, 2, 0, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 4, 0, 0, 0, 4, 0, 2, 3, 0, 2, 4, 4, 0, 1, 4, 2, 1, 2, 3, 4, 3, 2, 0, 4, 0, 0, 0, 3, 4, 0, 4, 3, 1, 2, 0, 2, 0, 3, 2, 2, 4, 0, 4, 0, 0, 4, 3, 0, 3, 0, 4, 0, 0, 4, 2, 3, 1, 4, 4, 4, 1, 4, 2, 1, 3, 0, 3, 0, 0, 3, 1, 3, 2, 0, 3, 2, 1, 3, 1, 4, 1, 0, 0, 4, 0, 2, 2, 4, 1, 4, 4, 0, 3, 0, 1, 3, 4, 1, 1, 3, 3, 4, 2, 1, 3, 2, 3, 0, 2, 2, 1, 0, 2, 0, 2, 2, 3, 0, 2, 2, 0, 1, 2, 3, 4, 4, 1, 1, 1, 1, 1, 1, 4, 3, 4, 0, 3, 4, 4, 1, 4, 4, 4, 2, 4, 0, 2, 2, 3, 0, 0, 4, 1, 3, 2, 3, 2, 2, 4, 3, 1, 4, 4, 2, 4, 3, 4, 0, 3, 2, 4, 2, 2, 0, 0, 4, 2, 4, 0, 0, 0, 2, 0, 3, 4, 1, 0, 0, 0, 3, 0, 0, 4, 4, 2, 0, 1, 2, 0, 2, 4, 1, 0, 1, 0, 4, 2, 3, 0, 1] pubkeycol573 = [2, 4, 2, 1, 2, 1, 4, 4, 0, 1, 3, 2, 4, 4, 0, 1, 1, 2, 2, 1, 1, 4, 3, 3, 1, 4, 3, 0, 3, 4, 0, 0, 2, 1, 2, 2, 3, 4, 2, 1, 4, 4, 3, 4, 1, 3, 2, 0, 4, 3, 0, 1, 0, 4, 3, 1, 1, 0, 3, 1, 3, 4, 0, 3, 3, 2, 3, 2, 3, 2, 3, 1, 4, 0, 2, 0, 2, 2, 3, 3, 4, 0, 1, 3, 2, 0, 1, 4, 3, 3, 1, 3, 3, 0, 4, 1, 2, 3, 4, 0, 0, 2, 0, 3, 4, 0, 1, 3, 3, 1, 0, 3, 0, 3, 2, 4, 2, 0, 2, 1, 1, 4, 0, 1, 3, 4, 2, 3, 3, 2, 3, 2, 3, 4, 2, 0, 4, 3, 0, 4, 1, 3, 0, 3, 3, 2, 3, 1, 0, 4, 4, 2, 3, 4, 0, 0, 1, 4, 0, 4, 4, 1, 0, 0, 2, 4, 0, 4, 3, 4, 2, 0, 4, 3, 2, 0, 4, 0, 2, 1, 4, 2, 3, 3, 2, 4, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 3, 2, 4, 0, 4, 1, 1, 1, 3, 1, 2, 0, 4, 4, 3, 2, 1, 2, 0, 3, 3, 3, 0, 2, 0, 3, 1, 4, 4, 1, 3, 3, 4, 2, 1, 1, 4, 2, 3, 1, 4, 1, 2, 2, 3, 4, 1, 1, 1, 1, 1, 3, 2, 1, 2, 0, 4, 3, 2, 0, 0, 2, 4, 3, 2, 0, 2, 3, 2, 1, 2, 0, 0, 2, 4, 3, 1, 3, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 3, 0, 0, 3, 3, 1, 0, 3, 2, 1, 4, 1, 4, 0, 3, 4, 3, 0, 2, 4, 4, 2, 3, 4, 2, 0, 3, 0, 3, 1, 3, 2, 3, 2, 3, 0] pubkeycol574 = [3, 1, 3, 4, 1, 2, 3, 3, 1, 3, 2, 0, 1, 4, 1, 1, 4, 4, 1, 3, 4, 2, 3, 0, 2, 2, 0, 4, 1, 2, 4, 4, 2, 2, 4, 1, 0, 1, 4, 0, 3, 1, 4, 1, 0, 2, 3, 1, 0, 1, 0, 3, 1, 1, 2, 2, 1, 4, 0, 1, 2, 0, 3, 2, 0, 1, 1, 4, 1, 2, 4, 1, 1, 3, 3, 1, 2, 0, 2, 2, 4, 3, 1, 2, 2, 1, 4, 4, 2, 3, 4, 4, 4, 0, 4, 4, 2, 3, 0, 0, 4, 1, 4, 2, 0, 3, 0, 3, 0, 1, 2, 3, 3, 1, 1, 0, 3, 1, 3, 2, 3, 4, 2, 1, 2, 4, 0, 3, 4, 2, 3, 2, 0, 4, 3, 3, 0, 4, 3, 0, 0, 4, 0, 0, 1, 2, 3, 0, 4, 4, 3, 2, 4, 1, 0, 2, 0, 3, 1, 4, 4, 0, 0, 3, 3, 4, 4, 3, 0, 2, 3, 3, 1, 2, 1, 3, 0, 3, 4, 0, 1, 3, 3, 4, 0, 3, 4, 4, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 4, 0, 1, 3, 2, 2, 0, 1, 3, 2, 3, 0, 2, 4, 0, 3, 4, 4, 2, 0, 3, 4, 3, 1, 3, 2, 4, 4, 2, 4, 4, 2, 0, 1, 2, 2, 1, 3, 0, 3, 4, 3, 1, 4, 4, 3, 1, 3, 0, 4, 4, 1, 2, 3, 4, 2, 3, 0, 2, 3, 2, 4, 2, 2, 1, 3, 3, 1, 2, 4, 1, 0, 3, 1, 2, 3, 0, 4, 2, 3, 2, 2, 4, 3, 1, 4, 0, 0, 1, 2, 1, 1, 1, 4, 2, 0, 4, 4, 3, 4, 4, 2, 3, 4, 2, 4, 0, 0, 1, 3, 3, 0, 2, 2, 4, 3, 2, 2, 4, 2, 2] pubkeycol575 = [3, 0, 4, 4, 4, 3, 0, 0, 4, 2, 0, 3, 3, 2, 3, 1, 0, 4, 3, 2, 2, 0, 2, 3, 2, 1, 4, 4, 2, 0, 4, 2, 4, 3, 4, 1, 2, 1, 4, 1, 3, 1, 4, 3, 3, 2, 0, 1, 0, 0, 3, 1, 0, 0, 0, 4, 1, 4, 3, 1, 2, 3, 1, 1, 1, 2, 1, 3, 2, 0, 4, 0, 2, 3, 2, 1, 2, 1, 3, 0, 3, 4, 3, 4, 2, 4, 1, 4, 4, 2, 2, 2, 1, 3, 0, 0, 1, 4, 2, 3, 1, 0, 2, 4, 3, 2, 1, 1, 3, 4, 4, 4, 4, 2, 3, 3, 4, 4, 1, 2, 3, 0, 2, 1, 4, 2, 4, 4, 4, 1, 0, 0, 3, 1, 2, 2, 0, 0, 1, 4, 4, 3, 2, 3, 1, 3, 4, 1, 2, 3, 0, 1, 3, 2, 3, 2, 1, 4, 2, 4, 3, 4, 3, 3, 0, 1, 0, 0, 1, 4, 0, 2, 4, 0, 2, 3, 2, 4, 0, 0, 1, 1, 4, 1, 0, 1, 1, 3, 4, 4, 4, 2, 0, 2, 4, 3, 1, 1, 4, 4, 0, 1, 2, 2, 2, 4, 2, 2, 0, 2, 1, 3, 4, 0, 0, 3, 1, 2, 2, 4, 1, 2, 3, 3, 2, 4, 2, 4, 3, 1, 1, 3, 0, 1, 0, 0, 1, 4, 4, 0, 3, 1, 1, 1, 4, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 1, 0, 2, 1, 4, 2, 0, 3, 4, 1, 4, 1, 3, 3, 2, 1, 0, 2, 0, 4, 3, 1, 3, 0, 4, 1, 4, 4, 2, 2, 4, 0, 4, 0, 1, 4, 3, 3, 2, 3, 3, 1, 2, 3, 2, 3, 4, 0, 0, 4, 1, 2, 0, 4, 4, 0, 4, 2, 4, 0, 3, 4, 1, 3, 4] pubkeycol576 = [3, 0, 1, 3, 0, 1, 3, 2, 2, 0, 0, 2, 4, 4, 4, 0, 0, 3, 0, 1, 2, 4, 3, 1, 2, 4, 0, 3, 4, 0, 0, 0, 4, 0, 4, 3, 2, 2, 0, 1, 0, 0, 2, 4, 3, 1, 3, 1, 1, 0, 0, 1, 3, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 4, 0, 3, 1, 3, 3, 2, 2, 0, 4, 4, 3, 0, 1, 1, 0, 1, 3, 2, 4, 2, 0, 1, 1, 1, 2, 3, 2, 2, 2, 1, 4, 1, 2, 4, 3, 0, 1, 4, 1, 3, 0, 2, 1, 1, 3, 4, 1, 4, 1, 0, 3, 4, 4, 3, 0, 3, 3, 3, 3, 1, 0, 1, 1, 0, 4, 0, 2, 1, 0, 1, 3, 3, 4, 0, 4, 4, 4, 4, 3, 3, 0, 1, 4, 4, 3, 0, 0, 4, 2, 2, 3, 3, 0, 1, 3, 3, 2, 0, 0, 3, 4, 4, 1, 0, 4, 0, 3, 2, 0, 4, 3, 3, 4, 1, 0, 0, 1, 1, 2, 0, 0, 2, 3, 1, 3, 3, 1, 0, 3, 3, 1, 2, 2, 2, 0, 4, 1, 2, 3, 2, 1, 2, 3, 0, 2, 1, 0, 3, 0, 3, 2, 4, 0, 3, 1, 4, 2, 3, 4, 1, 4, 0, 2, 4, 4, 0, 0, 0, 3, 1, 2, 1, 2, 3, 2, 3, 1, 3, 0, 2, 4, 4, 1, 2, 1, 1, 2, 3, 1, 2, 4, 1, 3, 0, 2, 2, 4, 0, 4, 2, 4, 2, 4, 4, 0, 2, 1, 3, 0, 3, 4, 0, 2, 2, 2, 0, 3, 3, 3, 0, 2, 1, 4, 4, 1, 2, 2, 3, 2, 0, 0, 4, 0, 3, 0, 2, 0, 0, 1, 1, 4, 2, 1, 0, 0, 4, 1, 0, 2, 3, 3] pubkeycol577 = [3, 0, 4, 0, 3, 4, 2, 2, 0, 4, 1, 3, 2, 3, 3, 2, 0, 3, 4, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 3, 4, 3, 1, 2, 3, 4, 3, 1, 4, 1, 3, 3, 0, 4, 4, 0, 0, 2, 0, 3, 2, 0, 1, 0, 1, 4, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 3, 2, 1, 3, 1, 0, 3, 2, 4, 2, 3, 2, 0, 2, 4, 0, 0, 2, 0, 0, 1, 3, 1, 0, 3, 4, 1, 1, 4, 4, 1, 1, 0, 3, 4, 4, 2, 0, 0, 2, 3, 4, 1, 3, 1, 2, 0, 4, 4, 3, 4, 1, 3, 0, 4, 1, 4, 1, 1, 1, 0, 4, 2, 4, 2, 3, 2, 0, 0, 0, 2, 0, 4, 1, 1, 2, 1, 2, 2, 0, 2, 4, 1, 1, 4, 3, 1, 0, 3, 3, 4, 2, 3, 3, 0, 2, 4, 1, 2, 1, 4, 3, 2, 2, 0, 4, 2, 2, 1, 1, 2, 2, 3, 0, 2, 4, 4, 3, 2, 4, 3, 1, 2, 3, 4, 0, 2, 4, 2, 4, 3, 1, 1, 1, 4, 2, 0, 0, 3, 0, 2, 4, 0, 1, 0, 0, 3, 3, 1, 4, 0, 3, 1, 4, 4, 1, 3, 3, 3, 0, 1, 3, 2, 0, 2, 4, 1, 2, 3, 2, 4, 3, 3, 0, 0, 2, 1, 4, 4, 2, 2, 3, 1, 2, 1, 4, 3, 4, 0, 0, 2, 3, 2, 0, 3, 0, 4, 4, 0, 2, 3, 1, 1, 4, 3, 0, 1, 2, 1, 1, 4, 4, 1, 1, 4, 3, 2, 4, 2, 3, 0, 2, 4, 3, 4, 0, 0, 3, 4, 4, 2, 3, 2, 4, 2, 2, 4, 1, 1, 0, 2, 4, 4, 1, 0, 2, 3, 0, 4, 1, 2, 2, 4] pubkeycol578 = [3, 3, 3, 3, 3, 1, 1, 4, 1, 3, 3, 4, 3, 3, 4, 2, 2, 1, 3, 4, 3, 4, 4, 1, 0, 4, 0, 0, 0, 4, 3, 3, 1, 4, 1, 0, 2, 3, 3, 2, 1, 1, 0, 1, 3, 2, 1, 3, 1, 2, 2, 4, 0, 1, 1, 3, 3, 3, 4, 1, 4, 0, 3, 4, 0, 1, 0, 1, 2, 2, 4, 4, 4, 4, 2, 1, 4, 3, 0, 1, 0, 3, 4, 2, 1, 2, 1, 0, 3, 4, 0, 2, 2, 4, 2, 4, 1, 2, 1, 3, 4, 1, 0, 3, 0, 3, 4, 4, 2, 0, 4, 2, 4, 4, 1, 2, 4, 3, 2, 3, 3, 1, 1, 1, 2, 3, 1, 3, 1, 0, 1, 0, 2, 2, 1, 1, 4, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 4, 2, 3, 3, 0, 0, 3, 0, 3, 4, 3, 4, 1, 3, 2, 3, 2, 4, 3, 4, 2, 1, 1, 4, 0, 3, 0, 2, 0, 4, 2, 4, 0, 2, 3, 3, 3, 1, 0, 4, 3, 2, 2, 0, 0, 1, 2, 0, 4, 3, 3, 0, 3, 3, 4, 4, 3, 1, 2, 4, 0, 3, 3, 4, 3, 1, 0, 0, 1, 2, 3, 3, 1, 4, 0, 1, 1, 3, 3, 4, 4, 2, 0, 0, 2, 3, 3, 0, 1, 4, 3, 2, 1, 0, 4, 1, 2, 2, 1, 2, 3, 4, 2, 4, 3, 2, 3, 3, 4, 0, 2, 1, 1, 4, 1, 1, 4, 3, 3, 0, 2, 3, 1, 2, 4, 4, 4, 0, 4, 4, 2, 2, 0, 3, 2, 2, 0, 0, 3, 0, 3, 3, 0, 1, 2, 3, 4, 2, 3, 0, 2, 0, 3, 3, 0, 1, 0, 2, 4, 1, 2, 1, 1, 0, 0, 2, 2, 2, 4, 2, 4, 4, 4] pubkeycol579 = [4, 4, 4, 1, 4, 0, 3, 0, 4, 1, 1, 1, 0, 4, 0, 2, 4, 1, 2, 2, 3, 3, 0, 2, 2, 4, 3, 3, 1, 1, 0, 4, 0, 2, 1, 2, 0, 2, 4, 4, 4, 1, 4, 0, 0, 2, 0, 2, 0, 3, 3, 0, 2, 2, 4, 3, 3, 3, 2, 1, 3, 3, 2, 3, 1, 1, 3, 4, 0, 1, 2, 1, 2, 0, 0, 1, 0, 4, 0, 0, 0, 0, 2, 3, 3, 0, 0, 4, 3, 1, 0, 1, 3, 1, 2, 0, 2, 0, 0, 1, 4, 0, 2, 2, 0, 3, 0, 1, 0, 1, 3, 0, 2, 1, 3, 3, 1, 0, 0, 0, 1, 4, 1, 4, 4, 3, 1, 3, 2, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 1, 4, 0, 3, 0, 4, 4, 1, 4, 3, 1, 0, 3, 1, 3, 0, 0, 4, 2, 3, 1, 1, 0, 0, 0, 1, 0, 3, 4, 3, 4, 3, 4, 2, 3, 2, 1, 0, 3, 4, 3, 0, 1, 1, 0, 4, 3, 1, 4, 4, 1, 2, 3, 2, 4, 3, 1, 3, 0, 0, 1, 3, 1, 4, 3, 0, 3, 2, 3, 0, 4, 2, 0, 4, 0, 2, 3, 4, 0, 1, 2, 3, 4, 0, 0, 0, 3, 0, 3, 4, 0, 2, 4, 0, 4, 2, 1, 2, 4, 0, 4, 2, 2, 3, 1, 0, 3, 4, 1, 2, 2, 1, 4, 0, 1, 4, 1, 1, 1, 0, 4, 1, 0, 0, 0, 3, 1, 1, 0, 4, 2, 1, 4, 0, 4, 2, 2, 4, 4, 4, 2, 4, 3, 2, 3, 3, 4, 0, 3, 1, 4, 3, 2, 2, 1, 4, 1, 3, 0, 2, 2, 2, 2, 4, 4, 1, 4, 1, 1, 2, 1, 1, 3, 2, 1, 3, 4, 2, 3, 2, 2] pubkeycol580 = [3, 4, 1, 1, 1, 4, 2, 4, 2, 0, 2, 2, 4, 2, 0, 0, 0, 4, 3, 2, 3, 3, 3, 2, 2, 3, 1, 3, 4, 0, 3, 2, 0, 3, 0, 1, 2, 1, 3, 3, 0, 4, 4, 4, 2, 1, 3, 1, 4, 4, 3, 3, 1, 3, 1, 4, 3, 4, 2, 4, 1, 4, 1, 1, 1, 4, 1, 0, 0, 1, 2, 3, 4, 4, 2, 2, 1, 1, 3, 2, 4, 4, 3, 0, 4, 1, 2, 3, 1, 0, 2, 3, 3, 1, 3, 1, 3, 3, 1, 4, 2, 4, 2, 1, 0, 1, 0, 1, 4, 0, 3, 2, 1, 3, 2, 2, 4, 2, 4, 1, 1, 0, 3, 1, 3, 0, 2, 0, 2, 2, 4, 3, 2, 0, 2, 4, 1, 4, 0, 0, 2, 3, 0, 1, 2, 1, 1, 3, 2, 2, 1, 3, 3, 1, 0, 2, 0, 2, 1, 2, 2, 4, 2, 1, 3, 2, 3, 1, 0, 2, 1, 2, 2, 3, 2, 2, 1, 0, 4, 0, 0, 0, 2, 0, 1, 2, 3, 0, 3, 0, 1, 2, 0, 0, 0, 1, 2, 3, 3, 4, 2, 0, 2, 0, 2, 1, 4, 1, 2, 3, 1, 1, 2, 3, 0, 4, 1, 2, 0, 3, 0, 4, 0, 1, 0, 1, 0, 3, 2, 0, 2, 3, 0, 1, 3, 4, 3, 4, 4, 4, 3, 2, 3, 0, 3, 4, 2, 1, 1, 2, 2, 4, 2, 0, 3, 2, 2, 4, 2, 3, 3, 2, 0, 3, 4, 1, 4, 4, 1, 1, 0, 3, 4, 1, 0, 3, 2, 3, 4, 2, 1, 4, 3, 4, 3, 3, 4, 4, 0, 0, 3, 0, 3, 2, 1, 0, 0, 3, 0, 1, 0, 3, 0, 1, 4, 0, 3, 0, 2, 1, 0, 4, 1, 3, 1, 0, 0, 4, 4, 1] pubkeycol581 = [2, 0, 0, 0, 3, 3, 2, 0, 3, 1, 1, 4, 2, 4, 3, 1, 3, 0, 0, 3, 1, 2, 0, 1, 2, 1, 3, 4, 3, 2, 3, 0, 3, 4, 0, 2, 3, 4, 3, 0, 2, 4, 0, 4, 1, 1, 1, 3, 0, 2, 2, 2, 2, 0, 2, 0, 4, 0, 4, 4, 2, 3, 2, 1, 2, 3, 0, 1, 3, 3, 0, 4, 0, 2, 3, 3, 1, 0, 1, 2, 2, 0, 3, 3, 1, 0, 1, 1, 1, 4, 0, 1, 1, 2, 0, 1, 2, 3, 1, 0, 0, 2, 2, 1, 2, 4, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 3, 2, 1, 3, 1, 4, 4, 0, 2, 0, 1, 3, 4, 1, 3, 1, 1, 0, 4, 1, 2, 0, 4, 3, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 3, 0, 2, 2, 3, 3, 3, 2, 3, 0, 2, 4, 1, 2, 1, 3, 0, 3, 0, 4, 4, 2, 4, 1, 3, 1, 4, 2, 1, 2, 4, 1, 3, 2, 4, 1, 2, 0, 3, 0, 0, 1, 4, 0, 4, 4, 4, 4, 2, 0, 0, 3, 4, 0, 2, 3, 1, 1, 3, 2, 1, 0, 4, 0, 0, 1, 4, 3, 3, 3, 0, 1, 1, 4, 2, 0, 4, 0, 4, 0, 1, 3, 1, 0, 2, 3, 3, 3, 1, 0, 3, 0, 1, 3, 2, 3, 0, 3, 4, 2, 0, 3, 3, 0, 4, 4, 2, 3, 4, 2, 3, 4, 2, 3, 2, 0, 4, 2, 0, 0, 0, 3, 4, 4, 0, 1, 3, 1, 3, 2, 3, 3, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 3, 1, 1, 1, 0, 2, 0, 4, 1, 0, 3, 0, 0, 2, 2, 4, 1, 1, 1, 3, 0, 2, 1, 1, 3, 0] pubkeycol582 = [4, 0, 0, 3, 4, 3, 2, 4, 2, 3, 0, 1, 0, 2, 2, 3, 0, 2, 2, 3, 3, 3, 0, 1, 3, 2, 1, 3, 0, 3, 3, 0, 1, 0, 2, 3, 4, 4, 1, 2, 4, 1, 2, 0, 0, 4, 4, 4, 1, 4, 1, 1, 0, 1, 1, 0, 1, 1, 4, 0, 0, 1, 1, 4, 1, 0, 1, 3, 0, 0, 4, 4, 0, 2, 0, 3, 2, 3, 0, 1, 1, 1, 1, 0, 1, 2, 1, 3, 1, 2, 3, 3, 3, 1, 3, 3, 3, 0, 2, 0, 4, 2, 2, 1, 3, 3, 2, 1, 4, 3, 4, 4, 3, 3, 1, 1, 4, 1, 1, 1, 1, 0, 3, 1, 0, 4, 0, 2, 4, 3, 4, 1, 3, 4, 0, 1, 3, 1, 3, 4, 3, 2, 0, 4, 3, 4, 2, 1, 0, 4, 4, 4, 3, 2, 2, 3, 4, 2, 1, 4, 3, 0, 1, 3, 1, 0, 1, 3, 2, 0, 3, 3, 0, 1, 1, 3, 0, 0, 3, 0, 3, 1, 4, 4, 4, 0, 3, 1, 3, 1, 1, 1, 2, 3, 4, 2, 4, 3, 0, 1, 2, 2, 1, 4, 3, 1, 1, 0, 2, 0, 4, 3, 1, 3, 3, 4, 2, 2, 0, 1, 2, 0, 0, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 4, 3, 2, 2, 0, 3, 2, 2, 1, 3, 4, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 4, 1, 0, 2, 2, 2, 2, 0, 2, 4, 3, 1, 2, 2, 4, 2, 0, 2, 1, 0, 1, 2, 3, 4, 0, 4, 3, 4, 3, 0, 0, 2, 0, 0, 2, 1, 1, 4, 4, 2, 0, 3, 3, 2, 0, 3, 0, 3, 3, 1, 1, 2, 4, 3, 2, 3, 4, 4, 1, 3, 4, 2, 4, 2] pubkeycol583 = [2, 2, 1, 3, 2, 2, 0, 4, 3, 4, 3, 2, 1, 0, 2, 1, 4, 3, 1, 2, 1, 2, 4, 1, 4, 1, 4, 4, 1, 0, 4, 1, 4, 4, 1, 3, 3, 2, 3, 0, 4, 3, 4, 2, 3, 0, 0, 4, 4, 2, 0, 1, 3, 0, 3, 4, 0, 1, 0, 4, 4, 2, 2, 4, 2, 4, 0, 0, 2, 3, 2, 0, 0, 3, 0, 0, 3, 1, 1, 2, 0, 3, 4, 3, 1, 3, 3, 0, 2, 2, 4, 3, 3, 2, 3, 1, 3, 1, 2, 1, 1, 3, 3, 4, 0, 2, 4, 0, 3, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 4, 1, 1, 3, 2, 4, 2, 4, 2, 4, 0, 3, 2, 1, 0, 4, 4, 3, 4, 1, 3, 4, 0, 3, 4, 1, 4, 2, 4, 3, 1, 1, 0, 1, 2, 0, 3, 2, 1, 3, 4, 1, 2, 3, 4, 3, 3, 4, 3, 1, 0, 4, 2, 3, 2, 2, 1, 1, 3, 2, 2, 4, 2, 2, 0, 3, 3, 1, 1, 3, 0, 1, 1, 0, 4, 1, 4, 4, 0, 0, 1, 0, 2, 0, 0, 0, 3, 3, 0, 3, 1, 3, 4, 4, 3, 4, 1, 2, 1, 0, 2, 0, 4, 2, 0, 4, 3, 0, 4, 1, 3, 0, 4, 0, 2, 2, 0, 3, 1, 1, 4, 3, 0, 1, 0, 1, 4, 4, 0, 1, 3, 2, 1, 0, 1, 4, 3, 3, 3, 3, 0, 4, 3, 2, 2, 4, 2, 4, 4, 4, 1, 0, 2, 0, 0, 3, 4, 2, 2, 2, 3, 0, 2, 3, 4, 3, 4, 4, 3, 1, 3, 0, 3, 4, 4, 3, 4, 4, 0, 4, 0, 4, 4, 0, 3, 2, 3, 3, 0, 0, 1, 4, 4, 0, 4] pubkeycol584 = [4, 3, 1, 0, 4, 0, 3, 2, 1, 4, 1, 3, 3, 3, 4, 0, 0, 4, 1, 0, 0, 2, 1, 4, 1, 2, 0, 4, 0, 4, 1, 2, 1, 1, 4, 2, 1, 2, 0, 3, 4, 3, 1, 1, 1, 4, 2, 3, 0, 3, 0, 3, 1, 2, 4, 2, 1, 0, 4, 1, 4, 2, 2, 4, 0, 4, 0, 1, 0, 4, 4, 3, 0, 1, 4, 1, 4, 2, 2, 4, 2, 1, 1, 1, 2, 3, 0, 2, 0, 1, 0, 2, 2, 1, 4, 1, 4, 3, 0, 4, 0, 3, 4, 0, 0, 3, 3, 3, 1, 0, 1, 4, 0, 4, 4, 3, 3, 4, 1, 2, 2, 3, 0, 0, 2, 0, 1, 3, 0, 4, 3, 2, 4, 2, 1, 3, 0, 0, 0, 4, 2, 2, 1, 4, 2, 2, 0, 0, 4, 2, 4, 0, 3, 2, 2, 2, 3, 4, 0, 0, 4, 1, 3, 4, 3, 0, 0, 1, 4, 1, 4, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 4, 3, 4, 2, 3, 3, 1, 2, 3, 0, 1, 3, 4, 1, 2, 4, 4, 3, 1, 4, 0, 3, 0, 0, 3, 3, 3, 3, 4, 4, 2, 2, 2, 2, 0, 2, 3, 1, 4, 0, 1, 4, 1, 2, 3, 1, 2, 1, 0, 2, 1, 2, 4, 2, 3, 3, 1, 1, 0, 3, 0, 3, 0, 1, 0, 1, 2, 3, 4, 4, 4, 4, 2, 4, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 3, 3, 2, 2, 0, 1, 2, 2, 2, 1, 1, 3, 4, 1, 0, 3, 2, 0, 2, 4, 2, 0, 4, 0, 2, 3, 0, 3, 4, 3, 4, 4, 3, 4, 3, 4, 4, 3, 1, 4, 0, 4, 2, 0, 3, 2, 0, 1, 2, 0, 1] pubkeycol585 = [2, 4, 2, 0, 3, 0, 3, 1, 2, 1, 0, 2, 3, 2, 2, 4, 1, 2, 0, 4, 1, 0, 3, 1, 0, 0, 1, 4, 0, 1, 3, 2, 4, 1, 2, 0, 4, 1, 3, 1, 2, 3, 2, 4, 1, 2, 4, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 4, 2, 1, 4, 1, 4, 3, 3, 4, 2, 0, 2, 4, 2, 2, 0, 1, 4, 2, 3, 2, 2, 4, 4, 1, 3, 4, 4, 0, 3, 0, 0, 3, 3, 2, 1, 1, 0, 3, 2, 4, 4, 0, 0, 1, 3, 3, 2, 4, 0, 0, 0, 4, 0, 4, 2, 1, 2, 0, 4, 4, 0, 2, 0, 1, 3, 2, 3, 2, 3, 3, 4, 2, 4, 2, 3, 2, 0, 4, 4, 0, 4, 1, 2, 0, 4, 2, 3, 2, 2, 3, 1, 1, 1, 4, 0, 4, 0, 0, 0, 3, 2, 0, 3, 1, 2, 3, 2, 2, 3, 4, 0, 0, 1, 4, 1, 3, 0, 4, 1, 4, 2, 2, 3, 4, 2, 0, 0, 0, 0, 1, 3, 3, 4, 0, 1, 2, 3, 4, 0, 0, 0, 4, 0, 1, 1, 1, 1, 0, 1, 2, 3, 2, 4, 1, 0, 0, 1, 4, 0, 4, 3, 1, 4, 1, 0, 4, 3, 1, 3, 2, 0, 2, 2, 4, 2, 3, 1, 4, 0, 1, 4, 1, 2, 1, 4, 4, 4, 0, 1, 0, 3, 1, 2, 4, 1, 2, 1, 3, 0, 0, 2, 0, 4, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 3, 0, 4, 4, 1, 2, 4, 3, 2, 4, 0, 1, 3, 3, 4, 4, 1, 3, 1, 0, 4, 1, 4, 2, 2, 1, 3, 3, 0, 0, 1, 2, 1, 2, 1, 4, 4, 3, 1, 1, 0, 2, 0] pubkeycol586 = [0, 0, 1, 0, 0, 4, 2, 3, 4, 0, 4, 2, 1, 2, 2, 4, 0, 3, 2, 1, 0, 1, 2, 0, 2, 1, 0, 3, 3, 4, 0, 3, 0, 2, 2, 1, 3, 1, 0, 2, 2, 3, 4, 2, 0, 2, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 2, 0, 3, 0, 0, 1, 2, 4, 4, 4, 2, 1, 1, 0, 0, 3, 1, 4, 1, 2, 2, 4, 1, 2, 1, 0, 4, 1, 0, 2, 3, 2, 4, 3, 4, 1, 1, 4, 2, 1, 0, 1, 3, 4, 1, 4, 2, 4, 1, 1, 0, 4, 4, 0, 1, 3, 0, 0, 3, 1, 4, 2, 0, 1, 4, 0, 4, 3, 4, 4, 2, 3, 0, 2, 4, 0, 2, 2, 1, 0, 2, 2, 2, 0, 3, 4, 0, 0, 2, 4, 1, 1, 2, 4, 2, 0, 1, 2, 2, 2, 4, 1, 3, 2, 0, 2, 2, 4, 0, 4, 1, 2, 1, 3, 0, 4, 1, 4, 0, 2, 0, 4, 3, 4, 3, 0, 1, 3, 4, 4, 4, 2, 0, 1, 1, 3, 1, 3, 0, 1, 3, 4, 1, 3, 1, 3, 1, 2, 3, 4, 2, 0, 2, 1, 2, 0, 3, 2, 0, 1, 2, 2, 0, 1, 3, 4, 1, 3, 2, 3, 3, 0, 0, 3, 3, 2, 0, 2, 3, 2, 4, 4, 4, 0, 4, 3, 2, 3, 0, 0, 0, 0, 3, 4, 3, 4, 3, 0, 4, 1, 2, 3, 1, 0, 3, 3, 2, 2, 4, 0, 1, 0, 1, 0, 3, 0, 4, 4, 0, 1, 1, 2, 2, 0, 1, 3, 1, 3, 4, 0, 0, 3, 2, 0, 2, 3, 1, 1, 2, 2, 1, 2, 0, 3, 4, 1, 1, 1, 3, 0, 4, 0, 1, 2, 4, 4, 2, 3, 0, 2, 1, 3, 1, 2] pubkeycol587 = [2, 1, 0, 3, 0, 0, 2, 4, 3, 4, 4, 2, 0, 2, 3, 1, 4, 4, 3, 2, 3, 1, 1, 2, 1, 4, 4, 1, 3, 2, 0, 0, 2, 1, 2, 4, 2, 1, 0, 4, 3, 3, 3, 4, 2, 0, 2, 0, 4, 3, 1, 4, 3, 1, 0, 0, 2, 1, 3, 4, 1, 3, 0, 2, 3, 0, 2, 0, 4, 0, 2, 0, 1, 2, 0, 4, 4, 4, 1, 1, 0, 4, 1, 2, 3, 1, 3, 4, 4, 2, 4, 1, 4, 3, 3, 4, 1, 3, 0, 0, 2, 2, 1, 2, 4, 1, 2, 0, 4, 1, 4, 3, 3, 0, 2, 1, 4, 2, 0, 3, 2, 1, 3, 4, 2, 4, 1, 1, 2, 2, 2, 3, 4, 3, 4, 4, 4, 1, 4, 1, 0, 0, 1, 3, 2, 1, 0, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 1, 4, 3, 1, 3, 1, 3, 2, 0, 1, 3, 0, 3, 4, 3, 0, 3, 2, 2, 1, 0, 1, 3, 3, 0, 3, 0, 0, 1, 4, 4, 3, 4, 0, 2, 0, 4, 3, 0, 0, 1, 2, 3, 1, 1, 4, 3, 4, 0, 2, 0, 3, 1, 2, 4, 1, 4, 0, 0, 1, 4, 4, 0, 0, 0, 4, 0, 1, 0, 0, 1, 2, 3, 2, 0, 2, 4, 0, 3, 2, 0, 4, 4, 3, 4, 4, 2, 4, 2, 0, 1, 3, 0, 2, 2, 2, 3, 0, 2, 0, 1, 3, 4, 0, 3, 1, 0, 2, 0, 3, 4, 2, 4, 0, 4, 1, 4, 0, 3, 1, 0, 4, 4, 2, 4, 3, 0, 1, 0, 1, 3, 0, 2, 0, 4, 0, 0, 3, 3, 3, 1, 1, 2, 0, 4, 1, 4, 0, 0, 4, 3, 3, 4, 4, 0, 1, 3, 2, 1, 2] pubkeycol588 = [4, 4, 3, 1, 2, 0, 4, 3, 3, 3, 0, 0, 4, 1, 4, 1, 1, 3, 2, 4, 1, 2, 4, 0, 4, 3, 4, 1, 4, 2, 1, 1, 0, 1, 0, 2, 4, 0, 0, 0, 3, 3, 1, 1, 0, 3, 3, 0, 4, 1, 0, 1, 0, 1, 2, 4, 1, 3, 0, 4, 2, 0, 2, 4, 0, 1, 1, 2, 1, 0, 3, 2, 3, 1, 0, 4, 2, 0, 4, 0, 3, 1, 3, 3, 4, 2, 2, 2, 3, 3, 4, 2, 0, 1, 0, 4, 4, 0, 3, 3, 4, 2, 0, 1, 4, 4, 3, 4, 1, 0, 2, 4, 4, 3, 1, 1, 1, 4, 3, 3, 2, 3, 3, 2, 4, 4, 3, 2, 4, 1, 0, 2, 0, 2, 2, 1, 2, 1, 3, 1, 1, 0, 4, 3, 1, 1, 4, 2, 1, 2, 2, 1, 1, 0, 4, 3, 2, 4, 4, 4, 2, 4, 1, 4, 4, 4, 0, 3, 1, 1, 1, 4, 4, 4, 2, 4, 4, 2, 4, 4, 1, 3, 0, 2, 0, 3, 0, 3, 2, 4, 3, 1, 0, 1, 1, 2, 2, 0, 4, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 3, 2, 2, 0, 1, 4, 3, 1, 1, 2, 4, 0, 2, 0, 0, 1, 4, 4, 2, 2, 3, 4, 1, 1, 0, 3, 3, 0, 1, 1, 1, 4, 3, 2, 1, 1, 3, 1, 0, 0, 4, 4, 3, 3, 2, 4, 3, 4, 4, 4, 0, 4, 2, 4, 3, 0, 0, 1, 3, 1, 3, 4, 1, 2, 0, 4, 3, 4, 1, 2, 4, 4, 1, 0, 2, 0, 4, 3, 0, 3, 0, 4, 3, 4, 4, 1, 1, 2, 0, 0, 4, 4, 1, 4, 4, 1, 4, 0, 3, 4, 4, 1, 0, 4, 0, 1, 0, 4, 1, 0, 2] pubkeycol589 = [1, 0, 0, 2, 2, 3, 3, 0, 4, 1, 2, 2, 3, 3, 3, 2, 3, 2, 0, 4, 1, 1, 1, 1, 3, 1, 0, 1, 4, 2, 2, 0, 0, 1, 4, 4, 3, 0, 0, 2, 3, 2, 1, 3, 3, 0, 1, 0, 2, 4, 4, 3, 3, 2, 0, 4, 3, 3, 3, 4, 1, 1, 1, 4, 2, 1, 4, 1, 4, 0, 0, 4, 3, 2, 4, 2, 1, 1, 3, 2, 0, 2, 3, 2, 4, 1, 3, 3, 1, 4, 1, 3, 3, 1, 4, 2, 4, 1, 1, 4, 3, 1, 2, 2, 0, 1, 2, 0, 3, 0, 3, 2, 2, 1, 2, 1, 3, 1, 4, 4, 4, 1, 1, 0, 1, 1, 3, 2, 0, 4, 4, 1, 3, 3, 3, 0, 4, 1, 4, 0, 1, 1, 3, 0, 3, 3, 2, 0, 1, 3, 3, 3, 1, 0, 3, 2, 0, 0, 4, 0, 3, 3, 4, 4, 0, 3, 2, 3, 1, 2, 1, 3, 0, 0, 1, 3, 1, 0, 4, 4, 3, 4, 2, 2, 0, 2, 0, 2, 0, 4, 0, 2, 1, 0, 1, 1, 3, 4, 0, 1, 4, 2, 2, 1, 0, 4, 1, 4, 4, 1, 2, 4, 3, 0, 3, 4, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 4, 4, 2, 2, 0, 2, 2, 0, 1, 2, 1, 3, 0, 3, 1, 0, 1, 2, 1, 3, 2, 4, 1, 4, 4, 2, 0, 2, 3, 1, 4, 0, 3, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 4, 1, 2, 0, 4, 1, 0, 4, 1, 4, 2, 0, 3, 3, 3, 3, 2, 2, 2, 1, 0, 4, 3, 2, 4, 1, 2, 0, 2, 3, 4, 3, 2, 3, 0, 4, 0, 0, 2, 0, 2, 2, 4, 1, 0, 2, 2, 0, 4] pubkeycol590 = [1, 0, 1, 4, 4, 4, 4, 0, 4, 2, 2, 2, 4, 1, 2, 3, 3, 4, 2, 3, 1, 3, 1, 3, 3, 1, 4, 3, 1, 0, 0, 2, 0, 2, 3, 4, 1, 1, 3, 3, 2, 0, 1, 4, 1, 3, 2, 4, 0, 2, 2, 2, 2, 1, 4, 0, 0, 0, 1, 2, 1, 3, 4, 4, 0, 4, 1, 2, 1, 2, 1, 3, 2, 4, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 3, 4, 0, 2, 0, 4, 1, 0, 1, 3, 0, 3, 4, 3, 0, 1, 4, 2, 2, 2, 0, 0, 1, 1, 2, 4, 1, 3, 2, 2, 4, 0, 3, 4, 3, 4, 4, 1, 2, 3, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 3, 3, 0, 3, 2, 0, 2, 2, 0, 4, 3, 3, 4, 0, 2, 3, 0, 1, 1, 3, 0, 2, 3, 1, 0, 4, 1, 2, 2, 3, 3, 2, 2, 2, 0, 4, 0, 2, 1, 2, 0, 0, 2, 0, 2, 3, 3, 2, 2, 0, 1, 3, 1, 3, 2, 3, 4, 3, 0, 3, 1, 2, 1, 2, 4, 0, 0, 4, 1, 1, 0, 0, 2, 2, 4, 2, 4, 4, 4, 4, 2, 3, 1, 2, 3, 3, 2, 3, 3, 1, 4, 3, 4, 1, 2, 2, 3, 4, 0, 3, 3, 0, 4, 4, 2, 4, 0, 4, 1, 3, 2, 2, 1, 0, 4, 4, 1, 0, 0, 1, 0, 0, 2, 0, 4, 2, 0, 1, 2, 2, 3, 4, 0, 4, 2, 1, 3, 3, 4, 4, 1, 3, 1, 1, 2, 3, 2, 3, 2, 0, 3, 2, 2, 4, 0, 1, 0, 3, 3, 3, 3, 1, 2, 1, 0, 3, 4, 2, 4, 4, 2, 2, 4, 3, 2, 3, 3, 3, 0, 3, 3, 3, 2, 1, 0] pubkeycol591 = [1, 1, 3, 0, 3, 2, 1, 1, 4, 4, 2, 3, 1, 1, 3, 0, 1, 2, 2, 0, 4, 1, 0, 1, 3, 1, 4, 3, 2, 1, 2, 4, 3, 4, 3, 0, 2, 1, 3, 1, 3, 0, 1, 4, 3, 3, 4, 4, 0, 4, 3, 4, 4, 1, 4, 2, 2, 4, 3, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 3, 1, 4, 2, 1, 4, 0, 0, 4, 0, 0, 4, 1, 3, 2, 1, 2, 1, 1, 4, 1, 4, 3, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 3, 3, 3, 4, 1, 4, 0, 4, 0, 4, 0, 2, 3, 1, 4, 0, 2, 3, 0, 2, 4, 2, 1, 1, 3, 0, 4, 3, 0, 1, 1, 0, 4, 0, 3, 3, 2, 0, 3, 1, 2, 4, 1, 4, 1, 3, 3, 3, 0, 2, 3, 4, 0, 4, 2, 2, 3, 4, 3, 4, 0, 0, 2, 0, 1, 0, 4, 3, 2, 1, 2, 3, 2, 1, 4, 0, 2, 1, 3, 1, 4, 1, 4, 4, 4, 2, 2, 0, 4, 4, 2, 4, 2, 3, 1, 3, 4, 2, 1, 2, 2, 1, 1, 3, 4, 4, 4, 1, 3, 3, 4, 0, 3, 4, 0, 3, 2, 3, 2, 1, 3, 4, 0, 2, 3, 3, 3, 0, 1, 3, 0, 4, 1, 2, 0, 1, 3, 1, 1, 0, 1, 3, 0, 2, 4, 3, 4, 2, 1, 1, 3, 0, 0, 4, 2, 1, 4, 2, 0, 0, 1, 1, 1, 3, 2, 2, 4, 0, 4, 2, 3, 3, 4, 4, 2, 1, 1, 0, 2, 2, 4, 1, 4, 1, 4, 0, 1, 0, 1, 3, 3, 2, 4, 3, 4, 1, 4, 1, 1, 4, 4, 3, 1, 2, 2, 2, 4, 1, 2, 3, 1, 3, 4, 2, 0] pubkeycol592 = [1, 1, 0, 4, 1, 1, 4, 1, 3, 3, 1, 3, 3, 0, 0, 3, 3, 0, 1, 0, 4, 2, 2, 2, 4, 0, 3, 4, 3, 0, 2, 2, 2, 3, 4, 1, 2, 4, 0, 1, 3, 2, 0, 1, 4, 3, 3, 3, 2, 0, 4, 2, 3, 1, 4, 1, 0, 1, 2, 3, 3, 4, 2, 4, 1, 2, 1, 1, 0, 2, 2, 2, 3, 0, 3, 3, 0, 4, 4, 1, 3, 4, 2, 2, 0, 4, 1, 1, 0, 2, 4, 1, 2, 2, 2, 3, 4, 0, 0, 4, 1, 2, 1, 2, 4, 3, 1, 4, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 3, 2, 2, 2, 1, 3, 2, 0, 1, 1, 0, 2, 4, 4, 0, 2, 3, 0, 2, 2, 3, 0, 1, 1, 0, 4, 3, 0, 4, 1, 1, 0, 3, 4, 1, 0, 2, 0, 1, 2, 1, 2, 3, 4, 4, 0, 2, 3, 1, 1, 2, 1, 4, 4, 0, 3, 1, 2, 3, 0, 0, 1, 4, 2, 0, 2, 4, 3, 4, 3, 2, 3, 4, 1, 4, 2, 0, 2, 2, 1, 1, 4, 2, 0, 1, 2, 0, 4, 0, 0, 4, 3, 4, 0, 3, 3, 0, 3, 4, 4, 3, 1, 1, 1, 1, 4, 4, 3, 4, 1, 1, 3, 1, 2, 3, 2, 2, 2, 4, 3, 2, 0, 0, 0, 0, 2, 1, 0, 2, 3, 2, 3, 4, 0, 4, 1, 3, 0, 2, 3, 3, 0, 1, 2, 4, 4, 3, 1, 2, 2, 0, 4, 1, 3, 4, 2, 2, 2, 1, 3, 2, 4, 2, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 3, 3, 1, 4, 2, 3, 1, 0, 2, 0, 1, 4, 3, 1, 0, 2, 3, 3, 2, 2, 4, 2, 2, 4, 1, 0] pubkeycol593 = [1, 2, 0, 0, 1, 3, 2, 3, 3, 2, 3, 0, 3, 0, 2, 4, 2, 1, 3, 0, 1, 3, 2, 3, 3, 4, 4, 3, 0, 0, 0, 0, 1, 3, 4, 1, 0, 3, 2, 0, 3, 0, 3, 4, 4, 1, 0, 3, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 3, 0, 3, 3, 4, 2, 3, 1, 3, 4, 1, 2, 0, 0, 1, 1, 3, 4, 4, 4, 4, 1, 2, 0, 1, 0, 0, 4, 0, 1, 3, 1, 1, 0, 1, 3, 0, 2, 4, 4, 3, 4, 4, 4, 0, 1, 3, 4, 0, 2, 2, 1, 0, 4, 0, 4, 3, 0, 4, 0, 1, 3, 0, 1, 3, 4, 3, 3, 4, 1, 1, 4, 0, 3, 1, 4, 3, 1, 1, 3, 3, 3, 4, 4, 4, 2, 4, 0, 2, 0, 0, 1, 4, 0, 4, 2, 2, 1, 4, 1, 4, 4, 3, 0, 0, 0, 3, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 0, 1, 3, 4, 0, 1, 1, 4, 3, 0, 1, 0, 4, 0, 3, 3, 4, 1, 0, 0, 3, 4, 2, 3, 1, 1, 0, 0, 3, 3, 1, 3, 2, 0, 3, 3, 4, 1, 4, 2, 0, 1, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 3, 0, 4, 2, 4, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 4, 2, 1, 1, 4, 2, 3, 4, 2, 0, 4, 1, 0, 4, 4, 2, 1, 1, 4, 2, 3, 0, 2, 2, 3, 1, 1, 0, 4, 2, 3, 2, 3, 2, 3, 3, 1, 2, 0, 4, 0, 4, 1, 4, 2, 0, 4, 1, 2, 0, 1, 0, 0, 0, 3, 0, 4, 3, 3, 4, 1, 0, 3, 4, 4, 1, 0, 1, 4] pubkeycol594 = [3, 2, 2, 4, 3, 3, 1, 0, 2, 0, 0, 2, 2, 4, 0, 0, 3, 3, 2, 1, 0, 0, 2, 4, 3, 3, 2, 1, 1, 3, 3, 4, 1, 2, 4, 2, 2, 3, 0, 3, 0, 3, 0, 0, 2, 4, 2, 3, 2, 3, 2, 4, 1, 1, 4, 0, 0, 4, 1, 0, 3, 3, 4, 4, 2, 4, 3, 3, 1, 3, 4, 0, 3, 1, 1, 3, 4, 3, 0, 0, 4, 4, 1, 4, 2, 1, 0, 0, 1, 2, 4, 4, 4, 1, 2, 4, 2, 0, 0, 3, 4, 0, 1, 4, 3, 1, 2, 1, 2, 0, 1, 0, 1, 3, 3, 1, 1, 0, 4, 0, 4, 3, 4, 2, 2, 0, 2, 3, 0, 4, 0, 0, 4, 0, 3, 1, 3, 0, 4, 0, 0, 1, 1, 2, 0, 3, 1, 4, 4, 1, 3, 0, 1, 4, 3, 0, 2, 1, 3, 3, 0, 0, 0, 4, 3, 3, 1, 0, 3, 4, 4, 2, 0, 3, 2, 0, 2, 3, 2, 4, 4, 0, 0, 2, 1, 3, 4, 2, 3, 4, 1, 3, 0, 3, 0, 0, 1, 2, 1, 4, 3, 1, 3, 0, 2, 1, 0, 2, 4, 1, 1, 3, 0, 2, 0, 0, 4, 1, 3, 2, 3, 2, 4, 0, 2, 2, 3, 2, 3, 3, 2, 0, 0, 2, 0, 1, 2, 2, 4, 1, 1, 1, 1, 2, 2, 1, 0, 3, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 3, 4, 1, 3, 0, 2, 3, 2, 4, 1, 1, 0, 1, 3, 3, 3, 4, 3, 0, 0, 1, 3, 1, 1, 4, 4, 3, 2, 0, 4, 3, 3, 3, 2, 0, 3, 4, 2, 2, 3, 4, 4, 3, 1, 2, 3, 2, 1, 4, 0, 1, 4, 2, 1, 2, 3, 4, 1, 1, 3, 4, 2] pubkeycol595 = [0, 2, 0, 3, 3, 3, 0, 4, 4, 0, 1, 2, 0, 3, 4, 4, 2, 3, 0, 4, 1, 3, 2, 0, 1, 2, 3, 1, 3, 0, 2, 4, 2, 0, 3, 3, 3, 2, 3, 2, 1, 4, 2, 3, 4, 3, 4, 0, 3, 1, 3, 4, 0, 4, 1, 3, 0, 0, 2, 0, 4, 2, 4, 0, 4, 3, 0, 2, 3, 1, 4, 2, 0, 4, 3, 1, 3, 2, 4, 3, 0, 3, 2, 4, 4, 4, 4, 2, 1, 2, 4, 3, 2, 3, 2, 0, 3, 1, 4, 4, 1, 3, 3, 4, 4, 3, 4, 0, 4, 0, 1, 0, 0, 3, 0, 4, 3, 3, 4, 4, 1, 4, 3, 0, 3, 0, 1, 0, 1, 2, 3, 4, 4, 3, 0, 2, 3, 3, 2, 2, 2, 2, 1, 4, 1, 3, 1, 1, 0, 4, 1, 2, 1, 0, 3, 0, 4, 3, 1, 0, 3, 2, 0, 3, 0, 2, 1, 2, 4, 4, 4, 2, 2, 3, 2, 2, 0, 3, 0, 3, 4, 0, 4, 1, 1, 1, 4, 1, 4, 3, 2, 3, 4, 0, 4, 3, 0, 0, 3, 0, 1, 0, 4, 0, 3, 1, 2, 1, 4, 3, 4, 4, 1, 3, 4, 2, 3, 1, 0, 1, 3, 4, 1, 1, 3, 1, 2, 4, 4, 1, 3, 1, 0, 1, 4, 0, 2, 2, 2, 4, 2, 1, 0, 2, 0, 1, 1, 0, 1, 4, 2, 3, 3, 3, 1, 4, 3, 2, 3, 3, 2, 3, 0, 3, 4, 0, 3, 3, 4, 4, 3, 1, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 1, 4, 1, 1, 1, 4, 4, 0, 3, 2, 2, 1, 3, 0, 2, 1, 2, 1, 0, 1, 4, 4, 0, 2, 2, 0, 3, 4, 3, 2, 3, 2, 4, 1, 2, 2, 1, 2] pubkeycol596 = [1, 3, 1, 3, 3, 1, 2, 4, 3, 0, 3, 3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 1, 1, 1, 2, 4, 3, 4, 2, 0, 2, 3, 0, 2, 2, 1, 3, 4, 0, 0, 2, 3, 3, 4, 0, 2, 2, 4, 1, 4, 0, 4, 1, 3, 2, 2, 0, 3, 2, 1, 4, 1, 0, 1, 0, 1, 3, 1, 0, 0, 3, 1, 3, 4, 4, 3, 3, 4, 4, 4, 1, 0, 3, 2, 2, 2, 0, 1, 2, 3, 3, 3, 0, 0, 4, 0, 2, 2, 2, 2, 1, 3, 4, 4, 3, 2, 1, 3, 1, 4, 2, 0, 0, 0, 0, 2, 1, 0, 2, 4, 0, 3, 3, 0, 1, 0, 2, 3, 4, 0, 0, 1, 4, 3, 1, 1, 0, 2, 4, 0, 3, 0, 4, 3, 0, 2, 2, 4, 2, 1, 2, 1, 1, 0, 1, 4, 4, 0, 3, 4, 2, 1, 3, 0, 1, 3, 3, 1, 1, 0, 1, 2, 2, 4, 2, 0, 2, 0, 3, 4, 2, 2, 0, 2, 2, 2, 4, 0, 3, 2, 2, 1, 2, 1, 1, 3, 4, 1, 0, 0, 4, 3, 1, 4, 4, 1, 1, 1, 3, 4, 1, 3, 0, 1, 2, 4, 4, 4, 2, 2, 1, 4, 0, 4, 1, 0, 0, 4, 2, 4, 1, 2, 0, 0, 3, 3, 4, 2, 3, 3, 4, 0, 3, 1, 0, 3, 1, 1, 3, 1, 1, 1, 2, 4, 0, 1, 3, 4, 0, 2, 3, 3, 0, 0, 2, 4, 2, 2, 0, 4, 1, 3, 3, 3, 1, 2, 4, 4, 3, 3, 4, 3, 1, 2, 3, 1, 0, 4, 1, 4, 2, 2, 3, 1, 2, 3, 0, 0, 2, 2, 2, 3, 3, 3, 0, 0, 3, 2, 3, 1, 3, 1, 4, 1, 2, 1, 1, 4, 3, 0] pubkeycol597 = [4, 4, 1, 3, 2, 3, 1, 3, 4, 2, 0, 3, 0, 1, 0, 0, 2, 2, 1, 2, 3, 2, 4, 3, 0, 1, 0, 0, 1, 2, 3, 0, 0, 2, 2, 2, 0, 1, 2, 4, 4, 0, 3, 2, 0, 1, 1, 0, 3, 0, 3, 1, 2, 0, 3, 1, 0, 4, 1, 2, 1, 4, 3, 1, 1, 0, 4, 4, 3, 2, 2, 3, 4, 1, 1, 0, 1, 4, 2, 4, 4, 0, 4, 0, 2, 4, 4, 4, 3, 4, 2, 1, 0, 1, 1, 4, 1, 0, 4, 1, 0, 2, 0, 4, 4, 3, 2, 4, 3, 2, 4, 2, 4, 2, 2, 1, 3, 0, 4, 1, 4, 3, 4, 1, 4, 2, 3, 1, 4, 0, 2, 2, 3, 4, 3, 1, 4, 2, 4, 0, 4, 0, 4, 1, 3, 0, 0, 0, 4, 0, 2, 3, 4, 4, 4, 4, 4, 1, 3, 1, 4, 3, 4, 1, 1, 1, 2, 4, 2, 1, 3, 4, 2, 3, 0, 1, 3, 1, 0, 3, 1, 2, 2, 4, 3, 4, 2, 4, 0, 4, 2, 2, 1, 4, 1, 4, 2, 0, 1, 2, 0, 1, 4, 2, 0, 3, 4, 2, 4, 2, 3, 4, 3, 1, 1, 1, 2, 2, 3, 1, 1, 1, 0, 3, 1, 0, 1, 2, 2, 3, 1, 4, 2, 0, 1, 2, 4, 3, 3, 1, 3, 4, 4, 1, 3, 4, 2, 2, 0, 2, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 0, 3, 2, 2, 4, 1, 0, 4, 1, 3, 3, 4, 0, 3, 2, 4, 4, 1, 0, 3, 2, 1, 2, 3, 3, 0, 2, 0, 0, 1, 4, 2, 4, 0, 0, 3, 2, 1, 4, 2, 2, 0, 1, 4, 4, 3, 4, 1, 0, 4, 0, 4, 1, 0, 3, 4, 4, 3] pubkeycol598 = [2, 0, 4, 0, 0, 4, 4, 2, 4, 4, 4, 4, 2, 0, 0, 3, 2, 4, 2, 4, 3, 4, 4, 3, 2, 3, 4, 2, 0, 0, 3, 0, 4, 3, 1, 4, 0, 3, 3, 3, 2, 1, 3, 2, 4, 3, 4, 0, 2, 0, 3, 4, 4, 2, 4, 0, 2, 2, 4, 2, 2, 4, 3, 0, 3, 2, 3, 4, 4, 0, 1, 0, 3, 3, 2, 1, 1, 4, 3, 4, 2, 1, 1, 4, 2, 2, 2, 0, 3, 4, 0, 2, 1, 0, 3, 2, 3, 4, 4, 3, 1, 1, 3, 3, 1, 4, 0, 4, 3, 3, 3, 4, 0, 1, 1, 4, 1, 0, 3, 0, 3, 1, 4, 2, 1, 3, 1, 1, 0, 3, 2, 3, 3, 2, 1, 3, 0, 1, 4, 0, 4, 1, 2, 0, 1, 4, 2, 0, 4, 0, 4, 3, 3, 3, 1, 4, 2, 4, 3, 3, 2, 3, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 4, 0, 0, 3, 2, 0, 1, 4, 3, 4, 4, 0, 1, 3, 0, 0, 1, 1, 3, 1, 3, 4, 2, 2, 4, 3, 4, 0, 4, 1, 0, 1, 4, 0, 4, 0, 1, 0, 3, 0, 2, 1, 1, 1, 0, 0, 2, 2, 3, 4, 2, 3, 3, 4, 2, 4, 3, 4, 0, 3, 4, 2, 4, 2, 2, 1, 3, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 4, 4, 4, 3, 4, 4, 1, 2, 3, 4, 3, 3, 4, 0, 3, 4, 1, 4, 4, 2, 3, 2, 3, 0, 2, 2, 3, 0, 4, 3, 0, 3, 0, 2, 0, 2, 3, 3, 4, 4, 2, 4, 1, 2, 2, 1, 4, 1, 0, 2, 2, 2, 1, 4, 2, 1, 3, 0, 0, 2, 1, 4, 4, 0, 3, 4, 4, 3] pubkeycol599 = [4, 1, 2, 1, 3, 3, 2, 3, 0, 3, 0, 0, 3, 2, 4, 4, 3, 0, 3, 1, 1, 1, 4, 1, 0, 2, 2, 3, 2, 0, 3, 3, 3, 0, 3, 4, 1, 1, 4, 4, 3, 1, 4, 2, 1, 1, 0, 4, 3, 0, 3, 0, 1, 0, 3, 0, 0, 4, 0, 4, 0, 3, 4, 0, 4, 1, 0, 4, 2, 0, 1, 0, 4, 4, 1, 2, 0, 2, 0, 1, 1, 2, 3, 4, 3, 2, 2, 1, 2, 2, 4, 4, 4, 3, 3, 4, 2, 4, 2, 1, 4, 0, 0, 0, 1, 2, 0, 1, 4, 3, 4, 0, 4, 3, 4, 4, 3, 0, 0, 0, 4, 0, 0, 2, 0, 3, 4, 2, 2, 3, 0, 3, 4, 3, 2, 4, 3, 1, 2, 1, 1, 0, 4, 2, 0, 1, 4, 1, 1, 0, 2, 4, 4, 1, 4, 3, 2, 2, 0, 4, 0, 3, 3, 3, 4, 3, 4, 3, 2, 1, 0, 2, 2, 4, 4, 0, 4, 1, 0, 1, 4, 4, 1, 4, 2, 0, 0, 4, 3, 3, 2, 1, 0, 3, 0, 3, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 2, 3, 4, 0, 3, 2, 4, 1, 2, 2, 2, 3, 0, 2, 4, 0, 2, 3, 2, 4, 1, 4, 4, 1, 1, 0, 0, 3, 2, 1, 0, 2, 4, 0, 4, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 3, 0, 3, 2, 0, 1, 1, 4, 1, 0, 0, 2, 1, 3, 2, 3, 2, 4, 2, 1, 2, 4, 4, 2, 4, 4, 2, 3, 3, 1, 1, 0, 4, 2, 4, 1, 4, 1, 3, 1, 0, 2, 4, 2, 3, 4, 3, 2, 1, 2, 4, 3, 0, 3] pubkeycol600 = [4, 2, 1, 4, 3, 1, 0, 4, 1, 2, 4, 1, 0, 1, 4, 3, 4, 1, 3, 1, 0, 1, 0, 1, 4, 2, 4, 0, 3, 3, 3, 1, 3, 1, 2, 3, 1, 0, 0, 4, 4, 2, 4, 4, 3, 4, 3, 4, 2, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 3, 4, 1, 4, 3, 0, 3, 4, 4, 0, 3, 2, 1, 2, 2, 4, 2, 0, 1, 2, 4, 2, 2, 1, 4, 0, 2, 2, 3, 2, 3, 4, 0, 1, 4, 3, 2, 0, 2, 3, 2, 4, 1, 3, 4, 3, 1, 3, 3, 0, 1, 1, 4, 3, 3, 3, 1, 1, 4, 3, 3, 4, 4, 1, 2, 2, 2, 0, 3, 4, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 3, 0, 2, 2, 3, 0, 4, 4, 1, 0, 3, 1, 3, 0, 1, 2, 4, 0, 3, 3, 4, 3, 4, 3, 0, 1, 3, 3, 2, 3, 3, 1, 1, 1, 0, 3, 3, 1, 4, 1, 4, 2, 1, 2, 2, 3, 3, 3, 4, 1, 1, 0, 3, 3, 2, 1, 2, 2, 0, 1, 1, 4, 4, 3, 1, 1, 3, 0, 4, 1, 4, 1, 3, 2, 3, 1, 1, 4, 4, 2, 0, 0, 2, 1, 1, 2, 0, 0, 3, 2, 1, 1, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 4, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 4, 1, 3, 3, 1, 4, 3, 4, 1, 0, 3, 0, 4, 1, 0, 1, 2, 0, 1, 1, 3, 3, 2, 4, 4, 0, 4, 3, 2, 4, 2, 4, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 4, 2, 0, 3, 3] pubkeycol601 = [4, 3, 2, 2, 2, 4, 2, 4, 1, 2, 2, 1, 3, 1, 1, 3, 0, 2, 4, 2, 4, 2, 4, 4, 2, 0, 0, 4, 2, 2, 1, 0, 1, 3, 2, 4, 4, 4, 2, 0, 2, 4, 4, 2, 4, 0, 4, 4, 4, 0, 3, 0, 3, 2, 0, 0, 1, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 1, 1, 2, 2, 4, 4, 0, 3, 2, 0, 3, 4, 1, 4, 2, 0, 4, 2, 3, 2, 1, 0, 4, 2, 2, 4, 0, 3, 4, 1, 2, 0, 2, 0, 4, 2, 3, 3, 0, 2, 1, 2, 2, 0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 4, 3, 4, 0, 0, 0, 0, 2, 4, 4, 4, 2, 3, 4, 0, 2, 4, 0, 1, 4, 3, 1, 1, 1, 4, 2, 2, 0, 0, 3, 1, 0, 2, 4, 2, 4, 3, 1, 1, 1, 2, 1, 3, 2, 2, 4, 3, 4, 4, 1, 3, 3, 1, 4, 3, 3, 1, 2, 2, 0, 0, 1, 2, 3, 0, 3, 4, 3, 1, 1, 2, 0, 1, 2, 0, 2, 4, 0, 4, 4, 3, 1, 3, 2, 1, 2, 2, 4, 0, 4, 1, 0, 4, 4, 1, 4, 4, 3, 2, 3, 3, 2, 3, 1, 1, 4, 4, 3, 1, 2, 2, 0, 4, 0, 0, 1, 4, 4, 2, 3, 4, 0, 3, 3, 1, 0, 1, 4, 0, 1, 0, 4, 2, 0, 4, 1, 2, 0, 3, 2, 2, 4, 0, 4, 0, 4, 1, 4, 1, 3, 0, 3, 1, 3, 3, 0, 4, 4, 1, 2, 1, 0, 1, 3, 3, 3, 2, 2, 0, 1, 1, 4, 2, 3, 2, 3, 1, 4, 1, 0, 4, 1, 1, 2, 3, 2, 2, 0, 4, 2, 0, 0, 2, 0, 3, 3, 0] pubkeycol602 = [4, 4, 3, 2, 0, 1, 2, 1, 0, 4, 3, 1, 2, 2, 4, 2, 1, 0, 2, 3, 4, 0, 4, 3, 1, 0, 1, 0, 0, 0, 2, 0, 2, 3, 3, 2, 0, 0, 3, 3, 3, 2, 2, 0, 2, 3, 2, 3, 4, 1, 2, 0, 0, 3, 0, 1, 4, 1, 3, 1, 4, 4, 1, 4, 4, 4, 4, 4, 0, 0, 2, 2, 3, 2, 3, 4, 2, 0, 1, 3, 2, 3, 1, 4, 3, 4, 1, 2, 2, 3, 3, 0, 4, 3, 3, 2, 1, 1, 3, 3, 1, 0, 0, 3, 4, 1, 2, 0, 1, 0, 2, 3, 0, 2, 4, 1, 1, 0, 4, 2, 0, 2, 0, 0, 0, 4, 1, 0, 1, 2, 0, 4, 3, 1, 3, 3, 3, 1, 3, 4, 2, 0, 4, 4, 4, 1, 4, 2, 0, 0, 3, 4, 1, 3, 1, 4, 2, 0, 2, 3, 0, 3, 4, 0, 2, 2, 2, 0, 3, 3, 3, 2, 2, 2, 2, 4, 0, 0, 2, 2, 0, 0, 1, 0, 0, 4, 2, 0, 4, 0, 1, 4, 4, 2, 3, 2, 0, 1, 2, 2, 4, 1, 3, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 3, 0, 3, 1, 4, 1, 2, 4, 0, 4, 2, 4, 3, 2, 3, 2, 2, 4, 1, 2, 1, 3, 0, 3, 0, 3, 3, 2, 3, 2, 4, 0, 2, 3, 3, 4, 0, 0, 3, 1, 4, 2, 1, 1, 2, 2, 0, 3, 4, 3, 0, 2, 1, 2, 4, 1, 2, 0, 2, 2, 3, 3, 2, 2, 0, 3, 0, 3, 0, 4, 3, 0, 2, 1, 0, 3, 4, 0, 1, 3, 1, 2, 4, 0, 2, 0, 1, 3, 0, 2, 3, 2, 0, 1, 2, 4, 1, 2, 2, 4, 3, 1, 0, 1, 0, 4] pubkeycol603 = [1, 1, 1, 0, 0, 2, 3, 3, 3, 1, 0, 4, 4, 3, 0, 4, 1, 4, 1, 2, 4, 4, 4, 3, 0, 4, 3, 3, 4, 3, 1, 0, 3, 1, 1, 0, 3, 2, 3, 0, 3, 0, 2, 0, 0, 4, 0, 2, 2, 0, 2, 3, 4, 2, 2, 1, 1, 4, 4, 0, 1, 4, 0, 3, 0, 2, 2, 2, 4, 2, 0, 4, 1, 4, 0, 1, 1, 0, 4, 4, 3, 2, 0, 2, 1, 2, 3, 3, 3, 0, 1, 1, 0, 2, 4, 0, 3, 3, 4, 1, 1, 2, 0, 0, 0, 2, 4, 4, 3, 0, 4, 4, 0, 3, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 3, 4, 1, 4, 0, 0, 3, 0, 0, 1, 2, 0, 0, 4, 4, 3, 4, 3, 2, 1, 3, 2, 0, 4, 2, 0, 3, 0, 0, 0, 3, 3, 4, 1, 1, 3, 1, 4, 1, 4, 0, 1, 1, 3, 0, 2, 3, 2, 1, 3, 3, 0, 3, 4, 4, 0, 2, 3, 3, 1, 1, 2, 1, 2, 1, 4, 2, 4, 0, 4, 3, 1, 2, 1, 0, 2, 4, 0, 0, 2, 3, 3, 2, 3, 1, 1, 3, 4, 1, 4, 3, 2, 1, 3, 0, 2, 0, 2, 0, 3, 3, 1, 0, 2, 4, 4, 2, 4, 1, 1, 2, 3, 2, 1, 2, 2, 0, 4, 2, 0, 0, 4, 3, 0, 0, 4, 0, 4, 4, 3, 2, 1, 3, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 1, 0, 3, 2, 1, 3, 4, 0, 0, 0, 4, 2, 4, 3, 3, 1, 2, 0, 0, 3, 0, 2, 4, 2, 3, 3, 1, 4, 1, 4, 1, 2, 1, 1, 4, 1, 3, 3, 3, 2, 1, 3, 3, 3, 4, 3, 2, 4] pubkeycol604 = [3, 2, 1, 3, 1, 3, 3, 3, 0, 1, 0, 2, 1, 0, 2, 4, 0, 0, 4, 3, 4, 3, 1, 4, 2, 2, 3, 1, 2, 0, 4, 1, 0, 0, 3, 1, 1, 3, 0, 1, 3, 1, 3, 4, 4, 1, 0, 0, 1, 3, 4, 1, 1, 1, 2, 1, 2, 4, 0, 4, 0, 1, 1, 4, 1, 2, 3, 4, 4, 3, 3, 0, 2, 4, 2, 3, 0, 0, 1, 2, 4, 4, 4, 3, 3, 2, 3, 2, 1, 2, 3, 0, 2, 0, 2, 4, 0, 4, 2, 1, 0, 2, 0, 3, 1, 2, 1, 2, 3, 4, 3, 3, 1, 2, 2, 2, 2, 1, 3, 2, 2, 4, 1, 2, 1, 0, 4, 4, 3, 1, 0, 1, 1, 0, 3, 2, 3, 0, 2, 2, 3, 2, 4, 1, 2, 2, 3, 3, 4, 2, 3, 0, 0, 0, 0, 4, 4, 0, 1, 3, 4, 1, 2, 3, 2, 0, 0, 3, 1, 3, 0, 2, 1, 4, 0, 4, 1, 3, 3, 3, 0, 1, 1, 3, 3, 4, 0, 1, 4, 2, 4, 4, 3, 0, 3, 0, 3, 4, 3, 3, 0, 1, 3, 1, 4, 4, 0, 4, 3, 2, 1, 0, 1, 0, 4, 0, 0, 3, 0, 3, 1, 4, 2, 4, 0, 3, 1, 2, 0, 4, 0, 1, 0, 0, 0, 0, 1, 4, 1, 3, 2, 3, 3, 0, 1, 1, 1, 1, 2, 0, 3, 0, 3, 0, 1, 2, 2, 1, 4, 3, 3, 2, 3, 0, 3, 0, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 3, 3, 3, 4, 2, 3, 4, 3, 1, 1, 1, 0, 4, 0, 4, 1, 4, 0, 1, 2, 3, 4, 2, 2, 1, 3, 3, 2, 4, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4] pubkeycol605 = [4, 4, 1, 0, 3, 1, 3, 4, 4, 2, 1, 4, 2, 3, 3, 3, 0, 0, 0, 2, 2, 4, 0, 3, 2, 3, 0, 3, 0, 0, 1, 1, 3, 2, 1, 0, 0, 4, 1, 2, 1, 0, 3, 4, 3, 0, 4, 2, 4, 0, 4, 2, 2, 0, 0, 1, 3, 3, 3, 1, 1, 2, 2, 4, 3, 1, 2, 2, 0, 1, 0, 4, 4, 4, 0, 0, 3, 2, 0, 3, 1, 2, 0, 2, 0, 1, 4, 4, 4, 1, 3, 4, 3, 4, 4, 2, 0, 2, 1, 1, 2, 3, 2, 0, 4, 1, 4, 1, 1, 2, 3, 4, 0, 3, 3, 3, 4, 2, 3, 3, 0, 0, 1, 4, 2, 0, 2, 3, 0, 0, 2, 4, 0, 0, 2, 3, 2, 4, 2, 4, 2, 2, 4, 3, 3, 4, 2, 4, 0, 3, 2, 3, 3, 4, 4, 4, 3, 1, 1, 4, 0, 4, 3, 1, 1, 2, 4, 0, 1, 0, 4, 4, 2, 3, 2, 0, 3, 3, 3, 3, 3, 0, 0, 1, 1, 3, 0, 0, 3, 1, 0, 2, 3, 0, 3, 3, 2, 0, 3, 3, 0, 2, 0, 4, 0, 4, 3, 3, 2, 4, 1, 1, 2, 1, 4, 2, 1, 0, 2, 1, 4, 1, 2, 4, 1, 3, 2, 4, 4, 0, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 0, 4, 3, 3, 4, 3, 2, 4, 2, 2, 4, 1, 1, 0, 3, 2, 0, 2, 3, 2, 2, 4, 3, 1, 3, 4, 4, 0, 4, 2, 0, 1, 1, 4, 4, 3, 2, 0, 1, 4, 4, 4, 3, 4, 2, 1, 2, 3, 3, 1, 4, 2, 0, 1, 4, 1, 1, 2, 1, 4, 2, 2, 4, 2, 4, 2, 3, 3, 2, 2, 4, 3, 3, 2, 3, 4, 2, 1, 0, 4] pubkeycol606 = [4, 4, 4, 2, 0, 3, 3, 3, 3, 0, 1, 1, 2, 4, 2, 2, 3, 4, 0, 3, 3, 2, 1, 1, 1, 2, 3, 3, 4, 3, 4, 1, 1, 0, 3, 1, 3, 1, 0, 2, 1, 0, 1, 0, 0, 4, 1, 2, 3, 1, 4, 3, 3, 1, 4, 2, 0, 1, 2, 4, 2, 2, 4, 0, 0, 4, 3, 2, 3, 0, 1, 2, 4, 2, 3, 2, 2, 2, 3, 2, 3, 2, 4, 2, 0, 2, 0, 1, 3, 4, 3, 2, 0, 0, 0, 2, 1, 1, 0, 4, 1, 3, 1, 0, 4, 0, 4, 1, 4, 1, 4, 1, 0, 2, 0, 4, 1, 0, 2, 2, 3, 2, 2, 1, 4, 2, 2, 3, 1, 0, 4, 3, 2, 3, 1, 3, 2, 3, 3, 3, 3, 1, 0, 3, 3, 1, 1, 3, 3, 4, 4, 0, 2, 3, 0, 1, 3, 3, 0, 4, 1, 4, 1, 0, 0, 3, 4, 3, 0, 4, 3, 3, 1, 0, 2, 4, 2, 1, 2, 1, 1, 3, 0, 3, 4, 3, 4, 2, 0, 0, 2, 2, 1, 0, 3, 4, 0, 4, 4, 4, 4, 0, 1, 0, 3, 2, 0, 1, 1, 3, 4, 2, 3, 2, 0, 4, 4, 4, 3, 3, 3, 3, 1, 2, 0, 0, 3, 2, 4, 0, 2, 0, 4, 4, 2, 4, 0, 2, 0, 3, 0, 0, 2, 2, 2, 4, 1, 4, 4, 4, 2, 4, 2, 3, 4, 2, 0, 0, 2, 0, 3, 3, 0, 0, 0, 1, 4, 4, 4, 2, 1, 0, 3, 4, 1, 1, 2, 3, 0, 2, 4, 1, 2, 3, 1, 4, 2, 2, 1, 1, 3, 4, 2, 3, 2, 3, 3, 3, 1, 1, 4, 1, 0, 2, 1, 3, 0, 0, 1, 0, 4, 2, 2, 1, 1, 0, 2, 3, 1, 1] pubkeycol607 = [1, 1, 4, 0, 0, 1, 0, 2, 1, 0, 3, 1, 0, 0, 0, 2, 1, 2, 4, 2, 3, 1, 2, 3, 0, 4, 1, 2, 2, 0, 4, 3, 4, 4, 1, 4, 1, 3, 2, 3, 2, 1, 2, 1, 4, 1, 4, 0, 0, 3, 3, 4, 3, 2, 4, 3, 1, 1, 4, 3, 1, 2, 0, 4, 3, 3, 1, 3, 0, 4, 3, 0, 0, 1, 0, 1, 2, 4, 0, 3, 2, 1, 2, 3, 3, 2, 1, 4, 1, 2, 0, 2, 3, 1, 3, 4, 3, 3, 3, 1, 4, 1, 1, 2, 0, 2, 2, 4, 3, 0, 0, 3, 1, 3, 2, 3, 1, 3, 4, 2, 2, 1, 4, 0, 1, 4, 4, 3, 4, 4, 4, 0, 3, 4, 3, 3, 2, 4, 0, 4, 1, 1, 1, 0, 0, 1, 1, 0, 0, 3, 4, 1, 0, 3, 4, 3, 3, 1, 0, 0, 2, 2, 3, 3, 4, 4, 4, 0, 1, 3, 2, 3, 0, 1, 2, 2, 3, 1, 2, 1, 2, 1, 3, 0, 0, 3, 2, 4, 1, 0, 1, 0, 0, 3, 2, 4, 1, 1, 4, 4, 1, 3, 1, 2, 0, 3, 0, 0, 3, 0, 4, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 4, 4, 1, 0, 4, 2, 3, 4, 0, 1, 3, 4, 1, 4, 3, 4, 0, 1, 3, 1, 0, 3, 4, 3, 2, 1, 0, 4, 3, 3, 4, 1, 2, 0, 2, 0, 4, 1, 2, 1, 1, 3, 3, 2, 0, 1, 4, 4, 0, 2, 1, 0, 4, 1, 4, 0, 1, 3, 4, 1, 4, 1, 1, 2, 3, 0, 2, 4, 4, 0, 1, 1, 1, 1, 3, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 3, 4, 4, 3, 3, 4, 0, 1, 4, 4] pubkeycol608 = [2, 2, 0, 3, 2, 1, 3, 3, 1, 0, 4, 1, 2, 4, 2, 3, 3, 1, 4, 4, 0, 4, 0, 4, 0, 4, 0, 2, 1, 0, 2, 0, 2, 4, 4, 4, 4, 0, 3, 4, 2, 2, 1, 3, 1, 4, 1, 3, 4, 1, 3, 2, 0, 3, 4, 4, 3, 2, 4, 1, 3, 0, 1, 4, 3, 4, 3, 1, 4, 2, 2, 0, 1, 2, 0, 2, 4, 0, 4, 0, 1, 3, 4, 3, 2, 1, 2, 3, 3, 1, 1, 0, 4, 3, 2, 0, 2, 2, 1, 3, 3, 1, 2, 1, 0, 3, 3, 2, 2, 2, 0, 2, 0, 1, 1, 3, 2, 0, 3, 4, 3, 0, 0, 3, 1, 4, 0, 0, 3, 3, 3, 0, 4, 1, 1, 2, 0, 2, 1, 0, 0, 3, 4, 0, 3, 3, 0, 4, 0, 4, 1, 1, 3, 1, 3, 2, 2, 0, 4, 4, 1, 1, 4, 3, 1, 0, 4, 3, 2, 4, 3, 1, 1, 2, 2, 0, 4, 3, 2, 4, 0, 4, 2, 3, 1, 1, 4, 2, 2, 2, 4, 3, 2, 1, 0, 3, 0, 1, 1, 2, 4, 0, 1, 4, 4, 3, 2, 2, 3, 2, 4, 4, 1, 4, 3, 0, 0, 3, 1, 3, 4, 4, 2, 1, 0, 1, 3, 0, 0, 4, 3, 0, 1, 2, 1, 0, 4, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 4, 4, 0, 0, 0, 2, 4, 0, 0, 1, 1, 1, 2, 3, 3, 4, 2, 2, 1, 1, 0, 0, 0, 2, 3, 1, 0, 1, 3, 0, 3, 1, 1, 1, 1, 3, 1, 0, 3, 3, 0, 4, 1, 2, 3, 4, 0, 0, 0, 1, 1, 2, 0, 4, 1, 3, 1, 1, 4, 3, 3, 1, 2, 1, 2, 1, 4, 4, 0, 1, 0, 0] pubkeycol609 = [0, 3, 4, 2, 0, 1, 2, 3, 3, 0, 0, 1, 3, 4, 4, 4, 4, 1, 4, 1, 4, 3, 3, 1, 1, 2, 4, 1, 4, 1, 4, 0, 3, 3, 1, 3, 1, 4, 4, 2, 3, 2, 4, 0, 3, 3, 3, 1, 1, 0, 3, 0, 2, 0, 3, 4, 1, 2, 3, 0, 2, 2, 0, 3, 2, 0, 1, 4, 1, 2, 1, 0, 2, 0, 3, 3, 2, 2, 3, 1, 1, 0, 1, 1, 4, 3, 4, 0, 1, 3, 2, 1, 1, 0, 0, 3, 2, 3, 2, 0, 1, 3, 0, 1, 3, 2, 0, 1, 1, 0, 4, 1, 0, 1, 0, 2, 1, 4, 0, 2, 1, 1, 0, 4, 2, 0, 1, 0, 3, 2, 2, 2, 1, 0, 3, 4, 4, 0, 4, 3, 1, 2, 2, 0, 3, 3, 4, 0, 3, 0, 0, 0, 4, 3, 0, 1, 0, 4, 3, 3, 0, 4, 3, 0, 0, 4, 2, 4, 4, 1, 4, 0, 0, 1, 3, 0, 0, 4, 4, 0, 1, 1, 2, 3, 0, 3, 0, 3, 3, 3, 2, 2, 3, 4, 4, 0, 2, 3, 2, 3, 0, 4, 4, 2, 2, 4, 4, 0, 0, 3, 4, 2, 3, 1, 4, 1, 0, 4, 4, 2, 1, 4, 0, 0, 1, 0, 0, 3, 3, 1, 4, 2, 4, 1, 0, 3, 3, 1, 1, 3, 1, 3, 1, 3, 0, 2, 3, 2, 2, 0, 2, 4, 1, 4, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 4, 1, 1, 4, 1, 3, 0, 1, 0, 1, 0, 1, 4, 1, 4, 4, 2, 0, 4, 1, 4, 2, 1, 1, 3, 3, 3, 4, 4, 3, 0, 2, 0, 2, 4, 3, 4, 2, 2, 3, 2, 1, 0, 1, 2, 1, 0, 4, 2, 4, 1, 4, 4, 0, 3] pubkeycol610 = [4, 3, 3, 4, 4, 3, 2, 3, 3, 3, 1, 1, 3, 3, 4, 2, 3, 1, 3, 3, 4, 3, 3, 3, 1, 0, 1, 4, 1, 0, 4, 0, 1, 0, 0, 2, 3, 0, 0, 1, 0, 0, 4, 1, 3, 1, 1, 4, 1, 4, 4, 4, 4, 2, 1, 3, 4, 2, 3, 4, 3, 2, 1, 4, 1, 1, 1, 0, 2, 2, 3, 3, 2, 1, 3, 2, 2, 0, 4, 3, 4, 4, 3, 1, 4, 4, 3, 0, 1, 2, 0, 0, 3, 3, 3, 3, 2, 1, 2, 4, 3, 1, 2, 2, 3, 4, 1, 4, 1, 4, 0, 3, 3, 2, 1, 1, 3, 0, 1, 4, 0, 4, 4, 3, 4, 3, 0, 1, 3, 4, 3, 0, 1, 2, 4, 3, 0, 4, 4, 4, 0, 0, 4, 1, 0, 0, 4, 3, 0, 1, 2, 0, 2, 1, 2, 4, 3, 0, 2, 4, 1, 4, 3, 2, 4, 0, 2, 1, 3, 2, 4, 1, 3, 1, 0, 4, 2, 2, 1, 4, 4, 1, 0, 3, 4, 2, 3, 2, 2, 1, 2, 3, 0, 3, 2, 3, 3, 0, 3, 0, 2, 1, 0, 3, 4, 2, 4, 1, 2, 1, 4, 1, 1, 1, 4, 4, 4, 1, 4, 2, 3, 1, 3, 3, 3, 2, 2, 2, 1, 3, 2, 0, 4, 1, 0, 3, 4, 3, 0, 3, 3, 2, 3, 4, 0, 2, 2, 0, 1, 0, 4, 0, 4, 4, 4, 3, 2, 3, 3, 4, 2, 1, 4, 1, 1, 1, 3, 4, 1, 0, 1, 4, 3, 1, 4, 1, 2, 0, 4, 4, 4, 1, 0, 3, 0, 4, 1, 3, 2, 0, 1, 0, 4, 3, 0, 3, 1, 0, 1, 1, 1, 0, 3, 4, 0, 4, 2, 2, 4, 2, 3, 2, 4, 1, 4, 2, 1, 1, 0, 2] pubkeycol611 = [2, 1, 1, 2, 0, 0, 1, 2, 1, 3, 3, 4, 4, 2, 3, 0, 1, 1, 1, 4, 2, 3, 4, 4, 2, 4, 1, 1, 2, 4, 3, 3, 1, 4, 0, 1, 3, 4, 4, 0, 0, 3, 4, 4, 2, 4, 4, 1, 4, 0, 2, 4, 0, 4, 2, 4, 3, 2, 0, 0, 0, 2, 2, 4, 2, 3, 4, 4, 4, 2, 2, 0, 4, 3, 4, 0, 4, 3, 2, 2, 2, 4, 0, 4, 1, 3, 1, 1, 1, 0, 1, 4, 3, 4, 2, 1, 0, 3, 0, 3, 0, 1, 4, 1, 4, 4, 0, 0, 1, 4, 4, 1, 3, 2, 4, 2, 1, 0, 4, 3, 3, 2, 4, 2, 3, 4, 4, 1, 0, 2, 4, 2, 3, 4, 3, 1, 3, 3, 2, 1, 0, 2, 2, 4, 2, 0, 3, 3, 2, 1, 1, 4, 0, 1, 1, 2, 0, 1, 0, 0, 3, 4, 2, 3, 0, 3, 2, 3, 4, 2, 3, 3, 4, 2, 4, 1, 3, 0, 1, 3, 2, 2, 4, 2, 4, 0, 1, 1, 2, 0, 2, 4, 3, 0, 3, 3, 4, 4, 4, 0, 3, 1, 3, 4, 3, 3, 3, 4, 1, 1, 4, 0, 4, 0, 4, 2, 4, 2, 2, 1, 0, 3, 2, 2, 3, 1, 0, 0, 2, 3, 4, 0, 0, 1, 3, 3, 3, 4, 2, 4, 1, 3, 2, 4, 3, 2, 2, 1, 1, 4, 1, 1, 2, 1, 0, 0, 1, 3, 4, 0, 0, 4, 1, 1, 4, 1, 4, 2, 4, 3, 3, 1, 2, 1, 4, 3, 0, 1, 0, 1, 4, 4, 4, 0, 2, 4, 3, 2, 4, 2, 0, 3, 3, 3, 4, 2, 0, 3, 0, 4, 2, 3, 0, 4, 2, 3, 1, 4, 0, 3, 4, 4, 2, 0, 1, 0, 2, 2, 1, 3] pubkeycol612 = [1, 0, 3, 0, 0, 1, 2, 2, 4, 3, 3, 3, 3, 3, 2, 3, 3, 2, 4, 3, 2, 2, 4, 3, 2, 3, 4, 2, 2, 4, 0, 0, 4, 0, 2, 0, 2, 1, 1, 4, 1, 4, 1, 1, 4, 2, 2, 3, 0, 1, 3, 4, 4, 2, 3, 2, 1, 4, 2, 2, 0, 0, 4, 2, 4, 3, 1, 4, 1, 3, 3, 1, 1, 4, 4, 1, 4, 2, 0, 4, 1, 1, 2, 4, 3, 3, 3, 2, 3, 1, 3, 1, 1, 1, 1, 0, 4, 2, 3, 0, 4, 3, 1, 1, 4, 1, 3, 0, 1, 1, 1, 4, 1, 0, 3, 2, 0, 2, 1, 2, 2, 4, 0, 0, 3, 2, 0, 0, 1, 1, 3, 2, 0, 1, 1, 1, 0, 2, 2, 4, 0, 3, 0, 4, 3, 0, 2, 1, 0, 3, 1, 0, 0, 2, 1, 0, 1, 3, 4, 0, 1, 2, 4, 1, 0, 3, 2, 0, 4, 1, 4, 4, 2, 3, 0, 1, 3, 4, 1, 2, 0, 4, 3, 2, 2, 2, 0, 4, 2, 2, 4, 0, 2, 4, 4, 1, 3, 1, 0, 0, 1, 4, 1, 2, 0, 1, 0, 2, 3, 0, 4, 0, 2, 1, 0, 0, 0, 2, 1, 0, 4, 0, 1, 4, 2, 1, 4, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 3, 2, 0, 1, 4, 3, 3, 0, 1, 1, 0, 4, 0, 0, 2, 1, 3, 3, 0, 0, 0, 4, 2, 4, 2, 3, 0, 2, 4, 4, 2, 4, 2, 4, 1, 1, 1, 1, 4, 1, 3, 2, 3, 3, 1, 2, 3, 2, 4, 1, 2, 0, 4, 4, 3, 2, 4, 0, 2, 0, 1, 3, 1, 3, 3, 4, 3, 4, 3, 1, 3, 2, 1, 4, 4, 0, 0, 1, 2] pubkeycol613 = [2, 0, 2, 1, 0, 3, 3, 2, 2, 1, 4, 0, 0, 4, 4, 3, 2, 4, 3, 1, 4, 4, 1, 0, 2, 4, 1, 4, 1, 4, 3, 1, 4, 3, 2, 2, 1, 2, 4, 3, 4, 4, 2, 3, 2, 2, 1, 3, 3, 4, 3, 1, 0, 1, 2, 0, 3, 4, 0, 4, 2, 0, 3, 1, 0, 0, 3, 0, 3, 0, 1, 1, 3, 1, 0, 2, 2, 1, 4, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 3, 3, 0, 4, 3, 3, 1, 1, 0, 2, 3, 3, 1, 4, 0, 4, 4, 3, 3, 2, 4, 0, 4, 0, 0, 2, 0, 3, 1, 3, 3, 2, 3, 1, 2, 0, 0, 2, 3, 0, 0, 3, 1, 3, 3, 0, 2, 3, 0, 3, 1, 1, 0, 2, 0, 0, 3, 4, 2, 2, 2, 4, 1, 3, 0, 3, 2, 1, 1, 4, 0, 2, 0, 3, 4, 1, 3, 1, 4, 4, 3, 0, 0, 2, 0, 2, 1, 3, 0, 4, 1, 4, 4, 1, 0, 2, 1, 4, 3, 1, 3, 0, 0, 0, 2, 4, 0, 4, 3, 4, 4, 4, 4, 1, 0, 0, 1, 0, 4, 4, 0, 1, 2, 4, 2, 3, 0, 0, 2, 3, 3, 4, 2, 1, 1, 1, 2, 4, 0, 0, 4, 4, 0, 3, 0, 4, 1, 4, 0, 4, 2, 3, 0, 4, 4, 1, 3, 3, 4, 3, 0, 4, 4, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 0, 3, 0, 4, 1, 1, 3, 0, 0, 1, 4, 2, 0, 0, 1, 3, 1, 4, 0, 4, 1, 3, 1, 4, 4, 0, 4, 1, 1, 1, 2, 0, 0, 4, 1, 3, 4, 4, 1, 0, 2, 1, 4, 0, 3, 2, 2, 1, 1, 1, 0, 1, 4, 4, 0, 1, 2] pubkeycol614 = [2, 1, 2, 3, 2, 1, 0, 4, 2, 2, 3, 2, 1, 1, 4, 0, 3, 2, 3, 3, 4, 3, 3, 1, 4, 1, 2, 3, 0, 0, 0, 0, 2, 3, 3, 2, 0, 1, 4, 3, 4, 2, 3, 3, 2, 3, 2, 2, 3, 1, 2, 0, 2, 3, 2, 4, 0, 0, 3, 0, 3, 0, 4, 1, 4, 2, 4, 4, 4, 1, 4, 4, 4, 3, 2, 2, 1, 2, 2, 3, 2, 4, 1, 3, 3, 0, 2, 1, 1, 3, 3, 1, 4, 3, 4, 4, 3, 3, 1, 1, 3, 3, 3, 0, 0, 3, 3, 0, 1, 3, 3, 4, 3, 4, 0, 3, 3, 4, 4, 3, 2, 0, 3, 2, 3, 3, 1, 1, 1, 0, 4, 3, 3, 0, 4, 0, 1, 1, 2, 1, 2, 0, 4, 4, 1, 3, 1, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 0, 1, 1, 4, 0, 2, 0, 2, 4, 0, 4, 3, 3, 4, 1, 2, 0, 1, 0, 4, 3, 3, 2, 3, 3, 4, 2, 3, 3, 1, 2, 3, 4, 3, 4, 1, 0, 3, 0, 3, 1, 0, 2, 3, 3, 1, 3, 3, 2, 1, 0, 2, 1, 0, 1, 4, 0, 2, 2, 4, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 2, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 3, 4, 0, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 3, 1, 2, 3, 0, 1, 3, 3, 2, 0, 3, 3, 2, 0, 0, 4, 2, 0, 4, 1, 2, 0, 3, 2, 2, 4, 0, 2, 2, 4, 0, 1, 0, 3, 2, 3, 4, 4, 0, 3, 4, 3, 4, 0, 0, 4, 4, 1, 2, 4, 0, 4, 3, 0, 0, 1, 4, 4, 3, 1, 4, 0, 1, 0, 4, 3] pubkeycol615 = [3, 3, 2, 4, 3, 0, 0, 4, 0, 1, 3, 1, 1, 3, 4, 1, 2, 1, 1, 3, 4, 4, 1, 4, 4, 2, 2, 3, 3, 4, 2, 2, 4, 2, 2, 3, 1, 3, 0, 2, 1, 4, 4, 4, 1, 2, 4, 0, 4, 2, 4, 2, 1, 4, 0, 0, 4, 3, 0, 3, 4, 0, 0, 4, 2, 0, 1, 4, 2, 0, 3, 1, 4, 0, 0, 1, 1, 3, 0, 3, 4, 4, 3, 3, 3, 2, 1, 0, 3, 1, 4, 2, 3, 3, 4, 4, 4, 1, 4, 0, 3, 2, 2, 4, 1, 1, 3, 0, 4, 0, 0, 1, 4, 3, 3, 1, 2, 0, 2, 2, 4, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 3, 0, 1, 4, 3, 0, 1, 4, 1, 0, 1, 2, 3, 3, 1, 4, 1, 3, 2, 1, 4, 3, 1, 3, 0, 4, 2, 2, 0, 0, 3, 1, 1, 3, 4, 2, 0, 3, 3, 1, 3, 2, 0, 2, 4, 1, 0, 3, 0, 1, 3, 0, 2, 4, 1, 0, 3, 3, 4, 2, 1, 0, 0, 0, 1, 4, 0, 0, 4, 2, 0, 2, 2, 3, 4, 1, 0, 0, 4, 1, 2, 2, 0, 4, 1, 4, 4, 1, 0, 4, 2, 0, 4, 0, 4, 2, 2, 1, 3, 1, 1, 1, 1, 1, 3, 0, 0, 3, 2, 0, 0, 2, 1, 0, 1, 1, 1, 3, 4, 3, 0, 0, 1, 2, 2, 3, 3, 4, 4, 0, 4, 4, 1, 2, 2, 1, 1, 4, 4, 2, 4, 1, 4, 0, 0, 1, 0, 4, 1, 3, 4, 1, 2, 3, 1, 3, 0, 4, 4, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 0, 3, 4, 0, 0, 2, 3, 3, 3] pubkeycol616 = [2, 3, 4, 1, 3, 4, 0, 0, 1, 0, 0, 4, 0, 1, 4, 2, 2, 2, 2, 1, 4, 3, 0, 0, 2, 3, 4, 2, 4, 3, 2, 0, 2, 4, 0, 3, 4, 3, 0, 0, 0, 1, 3, 0, 4, 0, 1, 0, 1, 0, 2, 4, 4, 0, 4, 1, 2, 4, 1, 2, 3, 3, 0, 0, 2, 3, 1, 3, 4, 4, 1, 0, 0, 3, 1, 2, 3, 3, 1, 3, 0, 2, 0, 3, 1, 1, 0, 2, 3, 3, 3, 4, 3, 4, 0, 4, 4, 1, 2, 4, 2, 3, 3, 4, 1, 0, 1, 4, 1, 3, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 3, 1, 2, 4, 3, 2, 2, 2, 2, 2, 1, 4, 4, 3, 2, 4, 0, 3, 3, 3, 0, 2, 4, 1, 4, 2, 2, 4, 4, 2, 4, 1, 4, 3, 2, 3, 3, 1, 4, 0, 1, 1, 2, 0, 4, 4, 1, 1, 2, 2, 0, 3, 0, 3, 4, 1, 2, 2, 2, 3, 2, 2, 4, 0, 4, 2, 4, 2, 3, 2, 1, 1, 2, 3, 4, 3, 3, 3, 1, 1, 4, 3, 1, 4, 0, 2, 2, 4, 2, 1, 4, 0, 1, 0, 4, 1, 3, 3, 0, 0, 1, 2, 2, 4, 1, 3, 4, 0, 2, 2, 0, 4, 4, 1, 1, 4, 4, 1, 4, 3, 4, 4, 0, 3, 3, 0, 4, 0, 1, 2, 1, 0, 1, 2, 0, 3, 2, 2, 3, 1, 4, 2, 2, 4, 4, 0, 4, 3, 1, 4, 3, 1, 2, 4, 0, 2, 0, 0, 2, 2, 2, 4, 3, 2, 3, 3, 0, 4, 3, 0, 2, 0, 2, 2, 1, 2, 3, 1, 3, 1, 1, 4, 0, 3, 4, 3, 0, 2, 2, 4, 4, 3, 3, 1, 4, 0, 4, 4, 1, 2] pubkeycol617 = [1, 0, 4, 2, 0, 0, 2, 1, 2, 0, 0, 1, 4, 2, 4, 1, 3, 0, 0, 3, 4, 0, 3, 4, 3, 0, 0, 3, 3, 1, 2, 0, 2, 3, 4, 2, 3, 0, 0, 3, 4, 1, 4, 3, 0, 1, 4, 1, 3, 1, 3, 3, 1, 3, 1, 2, 4, 1, 2, 1, 0, 0, 1, 0, 4, 1, 4, 0, 0, 1, 1, 3, 2, 2, 1, 3, 0, 2, 3, 4, 4, 4, 0, 4, 3, 4, 3, 0, 4, 2, 3, 3, 3, 3, 3, 0, 4, 0, 1, 3, 2, 3, 4, 0, 1, 4, 0, 0, 3, 0, 4, 2, 0, 3, 2, 0, 3, 1, 4, 3, 4, 1, 4, 1, 1, 0, 3, 4, 1, 4, 2, 3, 4, 3, 4, 2, 2, 2, 4, 2, 2, 4, 1, 1, 1, 4, 3, 1, 2, 3, 0, 4, 3, 3, 0, 4, 0, 2, 2, 2, 2, 2, 4, 4, 4, 1, 0, 3, 1, 2, 4, 2, 2, 1, 3, 2, 3, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 4, 4, 1, 3, 4, 2, 4, 1, 4, 4, 2, 2, 4, 0, 3, 0, 4, 3, 0, 2, 1, 1, 3, 4, 3, 3, 1, 2, 0, 3, 4, 3, 2, 4, 2, 1, 0, 2, 4, 1, 1, 3, 0, 1, 0, 4, 4, 0, 0, 4, 0, 3, 2, 3, 3, 2, 0, 1, 1, 0, 2, 4, 4, 0, 1, 2, 1, 2, 1, 3, 1, 1, 2, 2, 3, 4, 2, 2, 1, 0, 3, 1, 1, 2, 0, 3, 0, 0, 0, 0, 3, 0, 3, 2, 2, 4, 3, 0, 2, 2, 2, 3, 4, 0, 3, 0, 0, 3, 2, 3, 3, 2, 2, 0, 4, 0, 2, 1, 0, 2, 4, 1, 4, 3, 2, 4, 4, 4, 0, 1, 0, 2, 4] pubkeycol618 = [1, 2, 1, 1, 2, 0, 1, 2, 3, 3, 4, 1, 2, 3, 1, 2, 3, 2, 4, 4, 2, 0, 0, 2, 0, 4, 0, 0, 2, 0, 4, 4, 1, 1, 2, 1, 0, 3, 1, 3, 3, 2, 3, 4, 2, 1, 3, 2, 1, 2, 4, 0, 1, 2, 2, 0, 3, 3, 0, 2, 3, 2, 1, 4, 4, 4, 4, 4, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 4, 4, 3, 1, 1, 2, 3, 2, 1, 1, 0, 4, 0, 3, 1, 1, 4, 4, 2, 4, 0, 0, 2, 0, 2, 3, 4, 3, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 1, 0, 4, 3, 1, 2, 3, 0, 0, 1, 2, 2, 0, 3, 1, 4, 1, 2, 1, 2, 0, 2, 4, 4, 0, 3, 4, 0, 1, 1, 1, 0, 0, 0, 4, 4, 3, 0, 2, 3, 1, 4, 2, 0, 1, 0, 0, 0, 4, 1, 2, 0, 3, 4, 3, 4, 0, 2, 4, 4, 3, 0, 3, 2, 4, 3, 1, 4, 0, 2, 2, 2, 1, 0, 3, 4, 3, 2, 1, 3, 3, 2, 4, 2, 0, 0, 3, 3, 4, 1, 1, 3, 2, 3, 4, 1, 1, 1, 1, 3, 0, 2, 2, 3, 2, 3, 4, 1, 2, 1, 0, 1, 1, 1, 1, 3, 0, 2, 1, 1, 4, 3, 2, 2, 2, 4, 3, 3, 4, 0, 1, 2, 3, 4, 4, 2, 0, 4, 2, 4, 4, 1, 0, 4, 3, 2, 0, 2, 4, 0, 1, 2, 4, 3, 4, 2, 1, 0, 0, 1, 4, 2, 1, 3, 2, 4, 1, 2, 2, 3, 2, 3, 1, 2, 4, 4, 0, 3, 0, 4, 1, 1, 4, 2, 0, 2, 2, 0, 0, 4, 2, 3] pubkeycol619 = [4, 1, 3, 3, 2, 2, 1, 0, 2, 1, 3, 3, 1, 4, 1, 0, 4, 2, 1, 3, 0, 0, 0, 2, 4, 0, 4, 2, 0, 2, 3, 3, 2, 1, 1, 2, 4, 0, 2, 4, 2, 1, 3, 2, 2, 3, 3, 0, 4, 0, 0, 1, 1, 4, 1, 3, 3, 0, 1, 2, 3, 4, 1, 2, 1, 4, 1, 0, 2, 1, 4, 0, 3, 1, 2, 2, 1, 2, 0, 1, 2, 4, 0, 3, 4, 3, 4, 1, 2, 1, 3, 1, 4, 0, 1, 0, 2, 0, 3, 0, 4, 2, 0, 0, 0, 0, 4, 0, 4, 1, 1, 2, 3, 4, 3, 1, 2, 0, 2, 4, 1, 2, 3, 0, 3, 1, 4, 4, 3, 0, 3, 2, 1, 4, 1, 2, 4, 1, 1, 3, 4, 1, 2, 0, 3, 0, 3, 1, 2, 3, 2, 1, 2, 1, 0, 0, 2, 1, 2, 4, 1, 0, 1, 3, 1, 3, 4, 1, 2, 1, 1, 1, 0, 2, 4, 2, 0, 2, 4, 3, 2, 4, 3, 4, 4, 1, 2, 2, 4, 0, 3, 0, 2, 0, 3, 2, 1, 2, 4, 2, 0, 0, 1, 1, 1, 4, 2, 0, 0, 3, 4, 3, 3, 2, 4, 2, 2, 3, 2, 2, 4, 0, 0, 2, 3, 1, 2, 1, 2, 4, 2, 2, 0, 2, 3, 1, 0, 4, 0, 2, 2, 4, 2, 0, 3, 0, 2, 2, 1, 2, 1, 4, 0, 1, 2, 3, 4, 0, 3, 1, 0, 2, 1, 3, 2, 0, 3, 1, 3, 0, 1, 4, 4, 4, 1, 3, 3, 4, 1, 0, 1, 2, 1, 4, 2, 3, 2, 2, 4, 1, 1, 1, 1, 4, 4, 2, 3, 3, 0, 2, 4, 0, 1, 4, 1, 3, 3, 1, 1, 4, 0, 0, 3, 3, 2, 1, 3, 1, 4, 1] pubkeycol620 = [3, 2, 0, 2, 4, 4, 2, 2, 2, 0, 1, 1, 4, 4, 4, 0, 1, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 4, 4, 0, 1, 2, 0, 3, 4, 0, 2, 4, 1, 3, 1, 3, 3, 2, 0, 1, 4, 0, 0, 0, 1, 3, 2, 1, 1, 4, 3, 1, 3, 0, 1, 2, 1, 3, 4, 2, 0, 0, 1, 4, 2, 2, 2, 0, 4, 0, 1, 1, 4, 1, 1, 0, 0, 0, 2, 2, 4, 2, 0, 1, 1, 3, 3, 1, 3, 1, 4, 1, 0, 4, 0, 4, 1, 4, 0, 0, 0, 3, 1, 3, 2, 4, 2, 3, 1, 2, 4, 4, 0, 3, 4, 3, 2, 3, 0, 3, 2, 3, 2, 3, 4, 3, 1, 2, 3, 3, 3, 0, 2, 3, 2, 1, 1, 1, 3, 0, 3, 2, 2, 4, 1, 4, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 2, 0, 2, 3, 0, 1, 0, 0, 4, 2, 2, 4, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 4, 4, 3, 3, 3, 0, 2, 3, 4, 3, 4, 4, 3, 0, 4, 4, 2, 0, 4, 4, 1, 0, 4, 0, 3, 4, 1, 2, 3, 1, 2, 4, 0, 2, 1, 3, 3, 1, 1, 1, 3, 0, 2, 1, 0, 0, 4, 4, 1, 2, 0, 0, 3, 4, 1, 3, 3, 2, 1, 2, 2, 2, 4, 1, 3, 4, 0, 0, 4, 3, 3, 0, 1, 0, 0, 1, 2, 1, 1, 4, 4, 2, 4, 4, 0, 0, 2, 1, 3, 3, 3, 3, 3, 0, 1, 4, 0, 2, 0, 1, 4, 4, 4, 0, 2, 4, 1, 0, 4, 3, 0, 2, 3, 3, 3, 2, 4, 4, 3, 4, 4, 3, 0, 3, 0, 1, 4, 4, 0, 2, 1, 3, 2] pubkeycol621 = [0, 0, 1, 2, 0, 1, 1, 4, 0, 0, 4, 0, 2, 4, 3, 0, 1, 2, 3, 1, 0, 0, 4, 3, 1, 2, 2, 4, 3, 3, 2, 4, 0, 0, 3, 1, 0, 1, 2, 0, 4, 4, 0, 2, 4, 0, 3, 4, 1, 2, 2, 1, 4, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 4, 3, 2, 2, 3, 0, 1, 2, 4, 3, 3, 2, 3, 3, 0, 2, 0, 2, 1, 0, 2, 3, 0, 0, 0, 3, 0, 1, 0, 2, 2, 4, 4, 1, 0, 0, 4, 0, 1, 0, 2, 3, 2, 0, 4, 3, 3, 3, 2, 0, 1, 0, 3, 2, 0, 2, 4, 3, 2, 4, 1, 1, 1, 1, 0, 4, 4, 4, 2, 2, 3, 0, 2, 2, 1, 0, 4, 2, 3, 0, 3, 3, 2, 0, 4, 1, 3, 3, 0, 3, 1, 3, 1, 3, 1, 2, 4, 4, 3, 2, 4, 4, 4, 2, 0, 1, 3, 4, 1, 0, 2, 2, 4, 1, 2, 1, 3, 3, 4, 3, 2, 4, 0, 1, 4, 0, 2, 2, 4, 0, 0, 0, 2, 0, 1, 4, 0, 3, 0, 1, 0, 4, 2, 0, 1, 3, 2, 0, 1, 2, 2, 3, 3, 2, 2, 4, 1, 3, 1, 4, 2, 2, 3, 3, 1, 3, 4, 1, 2, 3, 1, 1, 1, 4, 0, 4, 2, 4, 0, 3, 2, 3, 0, 1, 1, 4, 4, 2, 4, 2, 2, 3, 0, 2, 0, 4, 1, 2, 1, 2, 4, 2, 2, 2, 4, 1, 4, 2, 4, 4, 0, 2, 0, 0, 3, 2, 0, 3, 3, 0, 4, 4, 3, 4, 3, 4, 1, 2, 4, 4, 4, 4, 2, 1, 4, 3, 1, 1, 4, 3, 2, 0, 1, 2, 0, 1, 1, 3, 3, 1, 2, 4, 1, 2, 4, 4, 2] pubkeycol622 = [0, 0, 3, 3, 1, 0, 4, 0, 2, 4, 1, 1, 4, 1, 3, 1, 0, 0, 1, 3, 4, 1, 1, 1, 4, 1, 0, 4, 4, 3, 0, 2, 2, 2, 3, 1, 2, 2, 2, 0, 0, 3, 1, 3, 0, 3, 0, 4, 3, 4, 1, 0, 2, 2, 4, 1, 0, 0, 4, 2, 4, 1, 1, 0, 2, 3, 3, 2, 2, 2, 2, 2, 1, 0, 4, 1, 2, 1, 0, 3, 2, 1, 1, 4, 1, 1, 2, 4, 3, 4, 4, 4, 2, 0, 4, 2, 0, 4, 2, 1, 2, 3, 4, 4, 1, 3, 4, 4, 2, 2, 4, 3, 0, 3, 4, 2, 2, 4, 4, 0, 2, 4, 2, 3, 3, 2, 2, 4, 2, 1, 1, 3, 4, 0, 1, 3, 1, 1, 1, 3, 2, 2, 1, 4, 3, 1, 4, 4, 4, 0, 0, 3, 3, 4, 4, 1, 1, 1, 1, 2, 3, 2, 3, 4, 0, 1, 1, 3, 3, 1, 4, 3, 1, 0, 4, 4, 4, 1, 3, 0, 4, 3, 1, 0, 2, 1, 0, 0, 1, 3, 1, 1, 3, 3, 2, 2, 4, 3, 0, 3, 0, 4, 4, 2, 2, 2, 2, 3, 2, 0, 0, 3, 2, 3, 2, 1, 1, 4, 4, 3, 4, 2, 0, 0, 1, 1, 0, 0, 4, 4, 0, 0, 3, 2, 0, 0, 4, 1, 2, 0, 2, 1, 4, 4, 0, 0, 3, 2, 0, 4, 4, 1, 0, 1, 3, 2, 3, 2, 0, 0, 4, 3, 1, 1, 3, 2, 1, 3, 0, 2, 2, 4, 2, 3, 3, 0, 4, 0, 0, 4, 1, 1, 0, 3, 4, 1, 0, 2, 4, 0, 2, 3, 4, 0, 1, 2, 3, 4, 1, 1, 3, 1, 0, 2, 2, 1, 0, 1, 3, 4, 4, 4, 0, 1, 3, 0, 0, 3, 3, 1] pubkeycol623 = [4, 0, 1, 2, 1, 3, 0, 4, 2, 4, 3, 0, 4, 0, 1, 1, 4, 0, 1, 1, 4, 3, 2, 3, 3, 4, 4, 1, 1, 3, 3, 3, 0, 0, 3, 0, 0, 3, 2, 1, 4, 2, 0, 3, 3, 0, 2, 2, 1, 3, 3, 0, 3, 3, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 3, 4, 3, 0, 4, 1, 1, 2, 0, 1, 0, 4, 3, 0, 0, 1, 0, 3, 0, 1, 2, 0, 4, 1, 2, 0, 1, 2, 0, 3, 2, 3, 4, 4, 3, 2, 4, 4, 1, 1, 1, 0, 0, 1, 3, 2, 1, 4, 1, 2, 1, 2, 0, 2, 0, 0, 3, 2, 2, 1, 1, 2, 0, 3, 3, 3, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 3, 2, 3, 3, 0, 2, 3, 1, 4, 3, 0, 3, 1, 1, 3, 1, 3, 4, 3, 3, 3, 1, 2, 2, 4, 2, 1, 2, 4, 4, 2, 2, 0, 3, 2, 0, 3, 3, 4, 0, 4, 1, 4, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 3, 4, 3, 4, 2, 3, 2, 1, 0, 3, 4, 1, 4, 3, 3, 4, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1, 2, 3, 1, 0, 2, 1, 2, 2, 3, 1, 0, 1, 1, 2, 2, 4, 2, 1, 1, 2, 0, 2, 3, 2, 2, 0, 3, 4, 2, 3, 3, 2, 3, 0, 3, 4, 2, 4, 1, 1, 4, 3, 3, 0, 1, 3, 3, 4, 2, 1, 4, 4, 1, 4, 2, 1, 1, 3, 0, 3, 3, 2, 4, 4, 2, 4, 2, 4, 0, 1, 2, 2, 4, 2] pubkeycol624 = [2, 0, 4, 4, 4, 0, 4, 0, 2, 3, 3, 0, 2, 1, 4, 3, 2, 4, 4, 2, 4, 0, 0, 4, 3, 1, 0, 3, 1, 1, 0, 0, 2, 1, 1, 4, 0, 0, 2, 3, 0, 3, 3, 3, 1, 3, 2, 4, 0, 1, 3, 2, 3, 0, 3, 1, 1, 2, 1, 2, 2, 3, 2, 4, 0, 4, 1, 2, 3, 2, 4, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 3, 4, 2, 1, 4, 0, 1, 1, 2, 1, 3, 1, 4, 3, 1, 2, 4, 0, 4, 3, 2, 4, 4, 4, 1, 2, 1, 1, 0, 0, 1, 3, 2, 4, 4, 3, 3, 2, 1, 4, 1, 1, 3, 1, 1, 2, 0, 3, 2, 4, 2, 2, 1, 3, 0, 2, 0, 0, 4, 1, 2, 3, 2, 2, 3, 1, 0, 0, 1, 4, 0, 0, 4, 3, 1, 2, 1, 3, 4, 2, 4, 3, 1, 1, 0, 3, 2, 1, 1, 2, 1, 4, 1, 0, 3, 0, 2, 1, 1, 0, 2, 0, 2, 3, 1, 2, 2, 2, 0, 4, 2, 3, 3, 4, 4, 3, 4, 3, 4, 2, 3, 4, 0, 4, 0, 2, 4, 0, 3, 0, 3, 1, 4, 3, 4, 1, 4, 4, 1, 4, 3, 3, 0, 3, 4, 1, 4, 2, 4, 4, 0, 2, 3, 1, 0, 4, 4, 2, 2, 3, 0, 3, 2, 1, 2, 2, 4, 4, 0, 0, 1, 2, 3, 0, 2, 1, 1, 3, 1, 1, 3, 1, 4, 0, 0, 1, 0, 1, 1, 0, 0, 1, 4, 4, 3, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 3, 1, 1, 0, 2, 4, 2, 2, 1, 4, 4, 0, 0, 2, 4, 3, 2, 0, 1, 4, 4, 2, 3, 3, 3, 3, 2] pubkeycol625 = [4, 3, 1, 2, 4, 4, 2, 4, 1, 3, 0, 2, 1, 0, 3, 3, 0, 4, 0, 1, 4, 3, 2, 4, 2, 0, 0, 2, 1, 4, 2, 2, 3, 2, 4, 2, 2, 3, 4, 0, 0, 4, 1, 4, 0, 0, 4, 3, 4, 4, 4, 1, 4, 0, 3, 0, 2, 4, 1, 4, 0, 3, 3, 3, 1, 1, 1, 3, 0, 2, 0, 0, 3, 1, 1, 3, 4, 3, 2, 4, 2, 1, 2, 2, 0, 3, 0, 1, 4, 0, 2, 4, 2, 4, 2, 3, 4, 3, 3, 4, 2, 4, 0, 1, 0, 3, 0, 0, 0, 4, 4, 2, 1, 2, 2, 4, 1, 0, 4, 0, 1, 0, 0, 4, 2, 3, 1, 0, 4, 4, 0, 3, 1, 0, 4, 2, 2, 0, 0, 2, 3, 3, 0, 4, 0, 1, 0, 4, 4, 1, 3, 4, 2, 0, 4, 3, 1, 1, 0, 0, 0, 1, 0, 1, 3, 0, 3, 1, 4, 2, 2, 3, 1, 1, 1, 3, 0, 0, 0, 2, 3, 4, 3, 4, 0, 1, 4, 4, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 4, 3, 1, 4, 3, 0, 1, 4, 3, 4, 2, 4, 0, 0, 3, 1, 1, 4, 4, 3, 1, 2, 4, 0, 4, 4, 4, 2, 3, 4, 0, 3, 1, 3, 1, 3, 3, 2, 1, 1, 3, 3, 2, 0, 1, 4, 1, 4, 4, 0, 1, 4, 0, 2, 3, 0, 1, 1, 0, 3, 4, 2, 2, 4, 0, 3, 0, 2, 2, 1, 1, 3, 2, 0, 0, 4, 4, 4, 1, 2, 3, 0, 4, 0, 3, 1, 4, 0, 3, 3, 3, 4, 0, 4, 2, 3, 0, 1, 2, 4, 3, 0, 1, 4, 4] pubkeycol626 = [0, 2, 2, 3, 3, 0, 1, 0, 4, 0, 4, 4, 0, 0, 2, 1, 3, 4, 0, 0, 1, 4, 0, 3, 2, 4, 1, 0, 0, 3, 1, 3, 0, 1, 1, 4, 0, 0, 1, 0, 3, 1, 4, 4, 2, 0, 1, 3, 3, 0, 3, 3, 3, 1, 4, 2, 1, 4, 4, 1, 2, 2, 1, 2, 4, 4, 4, 0, 4, 2, 1, 2, 1, 3, 0, 3, 4, 1, 3, 0, 2, 2, 1, 2, 2, 4, 2, 0, 3, 0, 2, 2, 2, 3, 4, 2, 2, 0, 1, 0, 0, 1, 0, 3, 3, 3, 1, 1, 2, 0, 2, 1, 1, 2, 4, 2, 0, 1, 0, 4, 0, 4, 2, 2, 3, 4, 4, 4, 1, 2, 1, 2, 2, 1, 2, 4, 4, 1, 4, 0, 4, 1, 4, 0, 0, 2, 3, 3, 0, 1, 3, 0, 1, 1, 2, 2, 3, 3, 0, 3, 0, 0, 3, 1, 1, 3, 3, 3, 1, 4, 0, 1, 4, 1, 3, 2, 3, 1, 3, 1, 0, 1, 2, 1, 3, 4, 0, 1, 0, 3, 0, 2, 3, 1, 3, 1, 0, 1, 4, 1, 2, 3, 4, 2, 4, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 3, 4, 3, 3, 3, 3, 0, 3, 2, 4, 1, 2, 2, 3, 2, 1, 0, 4, 0, 4, 2, 0, 3, 0, 2, 0, 2, 0, 3, 3, 1, 3, 0, 4, 2, 0, 3, 3, 1, 0, 2, 2, 4, 3, 3, 0, 3, 0, 0, 0, 0, 4, 1, 0, 0, 0, 2, 1, 3, 1, 1, 4, 0, 1, 1, 4, 3, 3, 0, 2, 1, 3, 4, 1, 0, 4, 0, 3, 4, 0, 2, 3, 2, 4, 0, 4, 2, 1, 1, 1, 3, 4, 0, 2, 4, 3, 0, 1, 1, 3, 3, 4, 1, 3, 3] pubkeycol627 = [4, 4, 3, 4, 4, 3, 3, 4, 2, 1, 1, 3, 3, 1, 4, 0, 1, 4, 0, 1, 2, 4, 4, 2, 4, 1, 3, 1, 3, 1, 2, 1, 0, 3, 3, 3, 4, 1, 4, 1, 0, 3, 1, 3, 0, 2, 3, 4, 2, 0, 3, 4, 1, 2, 1, 2, 4, 0, 3, 2, 3, 2, 2, 2, 4, 2, 0, 3, 2, 2, 0, 1, 3, 4, 0, 4, 3, 0, 2, 0, 1, 1, 1, 4, 1, 1, 4, 0, 0, 4, 3, 1, 4, 1, 4, 2, 3, 2, 1, 3, 2, 3, 2, 4, 3, 0, 3, 4, 4, 2, 4, 3, 2, 3, 2, 3, 3, 3, 3, 4, 0, 1, 3, 2, 1, 0, 0, 4, 1, 1, 2, 4, 3, 3, 0, 2, 1, 2, 1, 0, 2, 4, 4, 4, 0, 1, 1, 3, 4, 0, 2, 2, 2, 3, 0, 3, 0, 2, 2, 3, 1, 4, 3, 1, 1, 4, 3, 3, 4, 0, 0, 2, 0, 3, 2, 0, 2, 3, 4, 0, 4, 1, 1, 1, 1, 3, 2, 0, 2, 2, 4, 2, 0, 1, 2, 2, 2, 3, 2, 1, 2, 3, 3, 4, 0, 0, 2, 0, 3, 0, 3, 1, 1, 0, 1, 0, 4, 0, 4, 0, 3, 3, 2, 3, 1, 4, 0, 2, 1, 3, 3, 4, 4, 3, 4, 3, 2, 0, 2, 4, 2, 0, 2, 3, 0, 0, 0, 3, 4, 0, 2, 2, 4, 3, 2, 2, 4, 1, 1, 1, 1, 3, 0, 3, 0, 4, 0, 0, 3, 0, 0, 1, 1, 4, 4, 3, 2, 0, 2, 0, 3, 0, 4, 0, 3, 0, 0, 0, 1, 2, 3, 4, 3, 0, 3, 0, 0, 2, 0, 3, 3, 1, 3, 3, 2, 3, 2, 3, 4, 1, 0, 1, 3, 3, 3, 0, 2, 2, 2, 0] pubkeycol628 = [0, 0, 1, 4, 2, 1, 3, 1, 2, 2, 3, 1, 1, 2, 3, 4, 3, 1, 0, 1, 1, 3, 1, 4, 4, 4, 1, 0, 3, 3, 2, 0, 4, 2, 0, 1, 0, 1, 2, 4, 1, 3, 2, 0, 2, 4, 1, 2, 2, 0, 3, 2, 0, 1, 4, 2, 0, 0, 1, 1, 0, 3, 0, 3, 4, 4, 3, 0, 3, 1, 4, 0, 2, 0, 1, 4, 1, 2, 1, 2, 2, 3, 3, 1, 3, 3, 4, 2, 1, 2, 3, 4, 3, 1, 2, 4, 4, 2, 0, 4, 3, 4, 1, 0, 0, 4, 3, 3, 4, 4, 0, 1, 0, 1, 2, 2, 4, 0, 2, 1, 4, 4, 4, 3, 1, 3, 1, 3, 1, 3, 4, 0, 4, 4, 3, 1, 4, 1, 4, 3, 2, 1, 0, 1, 4, 1, 0, 0, 2, 1, 2, 3, 2, 0, 2, 1, 2, 4, 1, 0, 4, 0, 0, 3, 3, 0, 1, 3, 4, 0, 2, 3, 3, 3, 4, 2, 1, 1, 2, 0, 2, 4, 4, 3, 2, 3, 0, 1, 3, 3, 4, 4, 3, 3, 0, 4, 4, 3, 0, 0, 1, 4, 3, 3, 0, 2, 4, 1, 0, 2, 2, 4, 3, 4, 3, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 3, 4, 4, 4, 2, 2, 2, 1, 4, 4, 0, 3, 0, 3, 1, 3, 1, 4, 3, 0, 1, 1, 4, 3, 4, 3, 1, 3, 4, 4, 1, 2, 3, 4, 2, 1, 2, 4, 3, 4, 1, 3, 3, 0, 4, 3, 2, 2, 0, 3, 2, 2, 4, 1, 0, 1, 2, 3, 0, 4, 4, 1, 1, 0, 1, 2, 3, 2, 1, 3, 0, 2, 4, 0, 1, 3, 1, 2, 2, 3, 2, 1, 0, 3, 1, 4, 0, 3, 0, 2, 1, 3, 3, 3, 4] pubkeycol629 = [4, 2, 3, 4, 0, 1, 1, 3, 1, 1, 0, 1, 3, 3, 0, 2, 4, 4, 3, 0, 0, 3, 2, 2, 2, 0, 1, 3, 3, 4, 1, 1, 4, 1, 2, 2, 4, 2, 0, 0, 2, 2, 2, 1, 3, 3, 4, 3, 1, 3, 4, 2, 0, 4, 0, 1, 1, 0, 4, 1, 2, 3, 4, 4, 3, 2, 2, 3, 4, 2, 0, 3, 1, 3, 2, 4, 3, 3, 2, 0, 4, 1, 1, 4, 4, 3, 1, 2, 4, 2, 2, 2, 1, 2, 0, 0, 3, 3, 2, 1, 2, 3, 4, 0, 0, 3, 4, 2, 3, 2, 2, 3, 3, 4, 1, 3, 3, 1, 3, 3, 2, 0, 0, 3, 3, 3, 4, 2, 1, 2, 3, 0, 0, 0, 4, 2, 1, 3, 4, 1, 2, 3, 0, 4, 4, 2, 1, 4, 1, 0, 4, 3, 3, 3, 1, 3, 4, 0, 1, 3, 1, 3, 4, 0, 4, 1, 1, 4, 2, 4, 0, 4, 4, 1, 4, 2, 3, 1, 3, 2, 3, 2, 1, 3, 2, 1, 2, 4, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 3, 2, 0, 3, 4, 4, 1, 0, 3, 0, 3, 1, 0, 3, 1, 4, 4, 3, 1, 4, 2, 2, 0, 2, 3, 0, 1, 0, 2, 0, 0, 4, 4, 2, 3, 2, 2, 2, 2, 0, 4, 0, 4, 2, 1, 4, 4, 0, 4, 2, 3, 4, 1, 1, 4, 4, 2, 1, 2, 2, 4, 0, 1, 3, 3, 3, 3, 0, 2, 0, 3, 1, 4, 0, 1, 0, 2, 1, 1, 2, 3, 1, 1, 1, 3, 0, 4, 3, 1, 1, 0, 3, 4, 3, 0, 1, 3, 0, 4, 2, 2, 2, 3, 2, 3, 4, 3, 3, 3, 0, 2, 1, 4, 0, 2, 3, 2, 2, 3, 1, 4] pubkeycol630 = [3, 3, 2, 1, 3, 2, 3, 3, 0, 3, 1, 1, 1, 4, 0, 1, 3, 3, 2, 4, 2, 0, 2, 1, 0, 2, 2, 4, 1, 3, 4, 0, 1, 3, 1, 2, 3, 4, 3, 2, 2, 4, 2, 3, 1, 0, 1, 2, 1, 3, 2, 1, 4, 4, 2, 0, 4, 3, 0, 4, 2, 3, 3, 0, 4, 1, 0, 4, 2, 1, 0, 1, 4, 2, 0, 0, 4, 2, 2, 1, 0, 3, 1, 3, 1, 0, 4, 2, 1, 4, 0, 3, 0, 2, 3, 3, 3, 3, 1, 3, 4, 1, 1, 4, 3, 1, 0, 4, 2, 3, 1, 1, 3, 3, 1, 1, 1, 3, 4, 3, 3, 3, 2, 0, 3, 2, 2, 3, 0, 4, 2, 4, 1, 4, 3, 0, 2, 4, 4, 2, 0, 4, 4, 0, 2, 1, 4, 3, 1, 1, 4, 0, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 3, 0, 4, 4, 3, 3, 1, 2, 3, 4, 0, 3, 0, 0, 4, 4, 3, 3, 4, 4, 4, 1, 2, 3, 0, 2, 1, 1, 3, 0, 2, 1, 2, 2, 1, 2, 3, 2, 1, 2, 2, 0, 2, 2, 1, 1, 4, 0, 3, 0, 1, 1, 1, 1, 1, 0, 4, 0, 2, 1, 1, 0, 1, 2, 0, 3, 1, 0, 3, 3, 4, 2, 0, 1, 1, 2, 4, 2, 4, 1, 2, 0, 1, 2, 1, 4, 0, 3, 3, 1, 2, 3, 3, 1, 3, 3, 0, 0, 4, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 3, 4, 4, 2, 0, 3, 1, 0, 2, 2, 4, 0, 3, 1, 1, 0, 4, 2, 1, 4, 1, 0, 4, 2, 3, 1, 1, 0, 4, 1, 2, 1, 1, 1, 3, 4, 4, 2, 1, 2, 3, 4, 4] pubkeycol631 = [3, 4, 2, 2, 1, 4, 4, 4, 4, 3, 1, 2, 2, 4, 0, 2, 1, 2, 2, 0, 1, 3, 0, 3, 1, 3, 2, 0, 4, 0, 1, 0, 2, 4, 1, 3, 4, 4, 2, 2, 1, 2, 3, 1, 1, 0, 0, 0, 1, 2, 1, 2, 4, 0, 4, 4, 4, 2, 4, 1, 4, 2, 2, 3, 3, 2, 1, 1, 3, 4, 3, 4, 2, 0, 3, 1, 0, 2, 1, 1, 2, 0, 3, 4, 0, 0, 0, 2, 4, 0, 2, 4, 3, 1, 2, 4, 4, 2, 0, 2, 2, 2, 0, 0, 0, 4, 0, 0, 4, 2, 3, 2, 3, 0, 0, 2, 4, 3, 4, 3, 3, 3, 1, 1, 3, 4, 4, 1, 4, 4, 2, 1, 3, 1, 2, 0, 0, 3, 3, 1, 4, 3, 2, 2, 2, 1, 0, 0, 4, 0, 1, 3, 3, 1, 0, 3, 0, 2, 2, 2, 3, 2, 4, 2, 1, 2, 3, 2, 3, 4, 1, 4, 3, 0, 3, 3, 3, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 4, 1, 1, 0, 4, 0, 1, 4, 1, 3, 3, 4, 4, 2, 4, 0, 4, 4, 1, 4, 4, 1, 0, 2, 2, 4, 4, 4, 2, 3, 0, 2, 0, 0, 1, 3, 0, 3, 0, 2, 4, 0, 0, 0, 1, 1, 3, 2, 1, 3, 3, 4, 3, 4, 0, 4, 3, 1, 4, 4, 3, 4, 2, 4, 2, 2, 2, 1, 4, 0, 4, 4, 1, 2, 2, 0, 1, 4, 4, 3, 3, 0, 3, 1, 2, 1, 1, 2, 4, 4, 4, 1, 4, 4, 2, 0, 2, 1, 1, 3, 2, 0, 3, 2, 4, 0, 1, 4, 4, 2, 2, 2, 3, 3, 2, 4, 4, 2, 3, 0, 1, 3, 4, 0, 0, 4, 2, 0, 2, 3, 4, 1, 3] pubkeycol632 = [0, 1, 2, 2, 2, 0, 2, 2, 1, 4, 3, 2, 0, 0, 2, 1, 1, 4, 1, 4, 2, 0, 1, 3, 2, 0, 0, 1, 3, 1, 2, 1, 4, 0, 3, 2, 4, 2, 2, 0, 2, 2, 4, 2, 0, 2, 0, 2, 4, 2, 1, 0, 0, 4, 3, 0, 1, 1, 0, 3, 0, 2, 4, 1, 0, 2, 4, 3, 2, 0, 0, 0, 0, 3, 0, 2, 4, 2, 4, 3, 1, 1, 2, 1, 2, 0, 0, 2, 4, 4, 1, 2, 4, 1, 0, 2, 1, 0, 3, 0, 0, 2, 4, 4, 4, 3, 2, 3, 0, 0, 4, 2, 2, 1, 2, 1, 4, 3, 3, 4, 4, 0, 1, 0, 3, 3, 0, 3, 3, 0, 2, 3, 3, 4, 3, 1, 0, 3, 3, 3, 0, 4, 1, 1, 2, 0, 3, 1, 1, 1, 0, 0, 1, 4, 0, 2, 3, 4, 4, 4, 0, 0, 4, 3, 3, 0, 0, 1, 4, 1, 2, 4, 3, 4, 2, 2, 0, 4, 1, 0, 4, 1, 2, 2, 2, 4, 2, 3, 3, 1, 1, 1, 2, 1, 1, 0, 4, 4, 0, 1, 3, 3, 2, 3, 4, 1, 0, 1, 0, 0, 1, 1, 0, 4, 3, 3, 4, 1, 1, 4, 1, 2, 4, 3, 4, 1, 2, 3, 0, 1, 0, 3, 4, 0, 2, 0, 3, 4, 0, 3, 0, 3, 3, 4, 0, 2, 0, 4, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 4, 2, 4, 2, 3, 0, 4, 0, 4, 0, 4, 1, 0, 2, 3, 3, 0, 1, 3, 2, 4, 4, 0, 3, 0, 2, 3, 3, 0, 3, 2, 4, 2, 4, 1, 4, 0, 0, 4, 0, 0, 1, 4, 2, 4, 4, 4, 4, 1, 2, 1, 3, 0, 0, 0, 1, 3, 1, 0] pubkeycol633 = [1, 4, 4, 4, 3, 1, 2, 3, 2, 4, 2, 3, 2, 3, 0, 2, 3, 0, 3, 0, 4, 0, 2, 1, 0, 0, 2, 0, 4, 4, 3, 3, 0, 0, 1, 0, 0, 2, 2, 4, 2, 3, 3, 0, 2, 1, 2, 1, 3, 2, 1, 1, 4, 4, 4, 2, 2, 1, 0, 4, 1, 4, 2, 2, 3, 2, 4, 3, 2, 1, 1, 4, 2, 0, 4, 2, 2, 3, 1, 1, 1, 2, 0, 4, 0, 0, 3, 2, 0, 4, 2, 1, 1, 0, 3, 2, 3, 3, 2, 3, 2, 2, 1, 3, 0, 1, 2, 3, 4, 2, 0, 2, 3, 0, 3, 0, 3, 4, 2, 3, 3, 4, 1, 0, 1, 3, 1, 4, 1, 1, 1, 3, 4, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 0, 2, 0, 0, 4, 0, 4, 3, 4, 3, 1, 3, 2, 4, 0, 4, 2, 0, 3, 2, 2, 0, 4, 0, 2, 4, 3, 4, 0, 4, 1, 3, 4, 2, 0, 2, 0, 4, 4, 0, 4, 4, 4, 3, 3, 2, 3, 3, 3, 4, 0, 3, 4, 1, 4, 2, 1, 1, 3, 1, 3, 2, 0, 0, 3, 0, 1, 4, 0, 1, 2, 4, 4, 3, 0, 3, 0, 1, 1, 1, 1, 0, 1, 3, 0, 2, 0, 0, 4, 2, 2, 2, 2, 3, 0, 1, 1, 3, 0, 1, 4, 4, 2, 2, 2, 4, 3, 0, 1, 4, 3, 1, 2, 4, 0, 4, 1, 3, 0, 3, 2, 2, 1, 2, 4, 3, 4, 0, 1, 4, 2, 4, 0, 1, 2, 3, 2, 3, 4, 3, 1, 1, 2, 0, 3, 3, 4, 2, 3, 4, 2, 2, 1, 0, 4, 1, 4, 4, 2, 2, 0, 4, 3, 1, 0, 0, 3, 2, 4, 0, 0, 0, 4, 1, 0, 3, 1] pubkeycol634 = [2, 1, 2, 2, 3, 3, 0, 4, 1, 1, 2, 3, 1, 4, 2, 0, 4, 2, 2, 1, 2, 4, 1, 4, 2, 1, 2, 3, 3, 1, 0, 2, 4, 3, 4, 4, 3, 3, 2, 1, 4, 1, 0, 4, 4, 1, 4, 3, 1, 2, 2, 1, 2, 3, 4, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 4, 1, 0, 3, 4, 0, 4, 1, 3, 4, 3, 1, 2, 0, 2, 0, 3, 1, 4, 4, 4, 3, 2, 1, 0, 1, 1, 2, 0, 1, 3, 3, 3, 4, 0, 4, 4, 0, 2, 4, 3, 4, 2, 3, 3, 1, 4, 3, 4, 0, 3, 1, 0, 2, 0, 2, 4, 2, 1, 4, 3, 3, 4, 3, 1, 2, 2, 1, 2, 1, 1, 2, 3, 2, 2, 0, 1, 2, 4, 1, 1, 4, 2, 2, 4, 4, 0, 4, 4, 2, 0, 3, 2, 2, 0, 0, 4, 3, 3, 3, 2, 4, 0, 0, 1, 4, 2, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 1, 4, 4, 1, 4, 2, 4, 3, 3, 1, 3, 4, 3, 1, 2, 0, 3, 4, 0, 4, 1, 3, 4, 1, 1, 2, 4, 0, 3, 2, 2, 1, 4, 1, 1, 0, 4, 2, 1, 4, 1, 4, 3, 3, 1, 3, 2, 4, 1, 2, 0, 0, 3, 2, 1, 3, 0, 3, 3, 4, 1, 0, 3, 1, 1, 3, 3, 1, 4, 2, 0, 2, 0, 4, 3, 2, 1, 0, 1, 2, 3, 0, 3, 2, 4, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 3, 2, 3, 1, 3, 4, 3, 2, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 4, 0, 0, 0, 2, 4, 1, 2, 4, 4, 0, 3, 2, 3, 3, 1] pubkeycol635 = [2, 3, 2, 3, 4, 3, 3, 0, 2, 0, 0, 0, 3, 0, 2, 2, 3, 0, 3, 4, 0, 3, 3, 4, 0, 1, 0, 1, 2, 0, 2, 0, 1, 4, 2, 4, 4, 0, 1, 1, 0, 0, 1, 0, 1, 3, 1, 0, 4, 3, 3, 4, 0, 3, 2, 1, 0, 0, 2, 1, 4, 3, 4, 1, 3, 3, 3, 1, 1, 0, 1, 4, 3, 0, 0, 1, 1, 2, 2, 4, 4, 3, 2, 3, 2, 4, 2, 3, 3, 1, 3, 1, 0, 2, 4, 0, 2, 1, 0, 4, 1, 0, 0, 3, 0, 1, 1, 4, 4, 3, 1, 1, 1, 3, 1, 4, 2, 1, 4, 0, 4, 0, 4, 2, 1, 3, 4, 2, 1, 1, 1, 1, 3, 4, 2, 1, 1, 1, 2, 1, 2, 4, 0, 4, 2, 0, 3, 4, 0, 4, 3, 0, 2, 1, 3, 1, 0, 2, 4, 2, 3, 0, 0, 2, 1, 0, 1, 2, 4, 4, 1, 4, 4, 3, 3, 0, 2, 3, 2, 4, 3, 0, 4, 0, 4, 1, 0, 4, 1, 3, 1, 1, 0, 1, 3, 2, 4, 1, 4, 0, 1, 1, 2, 2, 1, 4, 3, 0, 4, 3, 1, 4, 0, 3, 4, 3, 0, 4, 0, 1, 2, 3, 3, 0, 1, 0, 1, 2, 3, 2, 0, 2, 3, 3, 2, 0, 4, 1, 1, 3, 2, 4, 3, 4, 0, 2, 0, 2, 1, 0, 2, 3, 2, 1, 1, 2, 0, 0, 4, 2, 2, 0, 2, 1, 4, 3, 4, 0, 0, 4, 2, 4, 3, 1, 3, 3, 2, 2, 0, 1, 2, 0, 3, 4, 1, 1, 3, 2, 3, 4, 0, 2, 2, 1, 2, 4, 1, 2, 4, 0, 0, 4, 2, 4, 3, 0, 4, 1, 2, 1, 3, 0, 2, 1, 1, 2, 4, 0, 1, 4] pubkeycol636 = [3, 0, 1, 4, 3, 1, 4, 4, 1, 1, 4, 2, 3, 2, 1, 4, 4, 4, 0, 4, 0, 2, 0, 1, 2, 2, 1, 0, 3, 0, 4, 0, 2, 3, 3, 2, 3, 0, 4, 4, 2, 1, 3, 1, 4, 1, 2, 4, 3, 3, 3, 3, 3, 3, 4, 0, 1, 2, 4, 4, 4, 3, 0, 3, 1, 3, 1, 1, 2, 4, 2, 3, 0, 3, 1, 3, 4, 0, 2, 4, 3, 4, 1, 4, 2, 4, 2, 4, 3, 0, 2, 1, 1, 4, 3, 3, 3, 4, 3, 0, 1, 1, 3, 2, 2, 1, 2, 1, 3, 2, 4, 3, 1, 0, 2, 0, 3, 2, 0, 0, 0, 2, 3, 3, 3, 1, 2, 2, 0, 3, 0, 1, 1, 2, 4, 4, 2, 3, 4, 1, 0, 0, 1, 1, 0, 2, 4, 3, 3, 3, 3, 1, 0, 4, 2, 2, 4, 1, 1, 4, 3, 4, 2, 3, 2, 4, 3, 1, 0, 3, 4, 3, 4, 1, 3, 4, 3, 0, 1, 0, 1, 1, 0, 3, 4, 3, 3, 1, 1, 2, 3, 1, 4, 2, 3, 3, 0, 1, 3, 1, 1, 3, 4, 4, 0, 1, 1, 4, 3, 2, 3, 3, 0, 1, 3, 3, 4, 3, 1, 4, 1, 3, 4, 0, 0, 1, 1, 3, 4, 0, 2, 0, 1, 2, 3, 4, 3, 3, 0, 4, 2, 3, 1, 1, 3, 2, 1, 1, 2, 4, 1, 4, 2, 1, 0, 3, 0, 3, 4, 1, 2, 0, 2, 2, 1, 4, 1, 2, 0, 4, 0, 3, 0, 2, 4, 4, 2, 4, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 3, 2, 4, 3, 4, 3, 3, 2, 4, 1, 1, 3, 2, 1, 2, 0, 3, 0, 3, 2, 4, 2, 3, 0, 4, 2, 1, 4, 0, 4, 4, 0] pubkeycol637 = [1, 3, 2, 1, 1, 1, 3, 3, 4, 1, 1, 3, 4, 0, 1, 4, 2, 4, 0, 0, 3, 3, 0, 4, 0, 1, 4, 0, 2, 1, 4, 2, 4, 2, 1, 1, 1, 0, 0, 3, 4, 1, 4, 3, 2, 4, 3, 3, 2, 4, 0, 0, 0, 3, 4, 2, 3, 2, 1, 3, 2, 2, 0, 0, 3, 3, 2, 1, 1, 3, 2, 2, 4, 1, 2, 0, 2, 0, 1, 1, 3, 2, 0, 1, 1, 1, 3, 1, 0, 2, 2, 3, 1, 2, 2, 1, 4, 3, 0, 3, 3, 1, 0, 1, 3, 2, 0, 3, 1, 1, 3, 1, 1, 2, 3, 2, 0, 3, 3, 0, 1, 1, 4, 1, 4, 3, 0, 3, 0, 2, 2, 4, 2, 2, 1, 1, 3, 0, 0, 3, 0, 3, 3, 0, 0, 4, 2, 2, 4, 4, 0, 2, 3, 3, 2, 0, 3, 2, 0, 4, 3, 1, 0, 0, 1, 3, 2, 2, 4, 4, 2, 2, 0, 1, 1, 2, 3, 0, 4, 1, 4, 1, 1, 1, 3, 0, 2, 4, 1, 4, 3, 4, 1, 1, 0, 2, 1, 2, 0, 2, 3, 3, 0, 4, 2, 3, 2, 4, 3, 3, 1, 3, 1, 0, 1, 3, 4, 3, 2, 0, 0, 4, 0, 1, 4, 3, 3, 0, 0, 4, 1, 2, 1, 1, 1, 2, 0, 1, 4, 1, 4, 4, 3, 1, 2, 1, 3, 4, 3, 1, 0, 0, 4, 4, 2, 3, 3, 0, 3, 3, 0, 4, 3, 1, 2, 2, 3, 3, 2, 3, 1, 4, 0, 4, 4, 3, 3, 1, 3, 3, 2, 4, 1, 4, 2, 4, 4, 1, 3, 4, 3, 3, 4, 4, 2, 1, 4, 3, 1, 0, 2, 1, 2, 4, 4, 4, 2, 2, 0, 1, 2, 4, 2, 2, 3, 1, 1, 4, 0, 2] pubkeycol638 = [2, 3, 2, 2, 1, 0, 1, 3, 0, 4, 0, 2, 3, 4, 3, 4, 1, 0, 4, 1, 4, 2, 3, 1, 3, 0, 0, 1, 1, 4, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 3, 1, 1, 3, 3, 4, 1, 1, 4, 4, 2, 0, 1, 1, 0, 1, 3, 4, 0, 2, 0, 2, 2, 0, 1, 3, 0, 2, 0, 1, 0, 4, 4, 0, 1, 2, 3, 0, 0, 2, 4, 2, 4, 2, 2, 1, 3, 0, 4, 3, 2, 4, 2, 3, 0, 3, 0, 0, 0, 2, 1, 0, 3, 3, 0, 2, 4, 2, 3, 4, 2, 2, 0, 1, 1, 2, 1, 4, 2, 3, 0, 1, 3, 4, 0, 1, 1, 2, 2, 2, 0, 3, 1, 1, 1, 3, 1, 0, 2, 2, 0, 0, 0, 0, 2, 4, 0, 2, 0, 1, 2, 0, 4, 1, 4, 4, 1, 3, 0, 0, 0, 4, 3, 2, 1, 1, 0, 4, 0, 3, 1, 0, 3, 1, 1, 3, 3, 1, 0, 1, 2, 1, 4, 2, 2, 2, 1, 0, 4, 2, 4, 0, 1, 0, 3, 4, 4, 0, 3, 1, 4, 4, 3, 2, 3, 0, 4, 3, 1, 1, 4, 0, 3, 1, 0, 0, 1, 0, 4, 4, 0, 1, 2, 1, 4, 0, 4, 0, 1, 0, 0, 2, 2, 0, 3, 3, 3, 0, 3, 1, 0, 4, 4, 4, 0, 4, 4, 4, 1, 0, 1, 0, 3, 1, 0, 4, 2, 1, 3, 4, 3, 4, 4, 2, 1, 1, 0, 2, 4, 0, 0, 0, 2, 0, 3, 1, 3, 4, 1, 2, 3, 3, 1, 4, 3, 1, 0, 3, 4, 0, 1, 0, 4, 2, 2, 0, 4, 3, 2, 2, 0, 1, 1, 3, 4, 1, 3, 1, 1, 3, 3, 2, 4, 2, 0, 3, 2] pubkeycol639 = [1, 3, 1, 1, 3, 2, 1, 1, 4, 2, 4, 4, 2, 0, 0, 4, 4, 0, 4, 3, 2, 0, 3, 3, 0, 4, 4, 0, 3, 3, 3, 1, 1, 2, 4, 4, 0, 4, 4, 3, 2, 0, 1, 2, 2, 1, 2, 4, 4, 1, 3, 4, 2, 1, 2, 4, 2, 2, 1, 4, 4, 3, 4, 4, 3, 3, 1, 4, 1, 1, 2, 1, 0, 1, 4, 1, 0, 3, 3, 0, 3, 0, 3, 2, 2, 3, 4, 2, 3, 0, 3, 4, 3, 0, 0, 0, 2, 2, 3, 0, 4, 2, 0, 1, 2, 0, 0, 3, 1, 0, 4, 0, 1, 3, 4, 3, 3, 0, 0, 4, 4, 3, 1, 3, 3, 4, 4, 4, 4, 2, 1, 4, 4, 2, 1, 3, 4, 2, 1, 4, 1, 4, 4, 4, 1, 1, 0, 3, 3, 3, 0, 4, 3, 0, 2, 1, 1, 0, 4, 0, 4, 4, 2, 1, 0, 0, 4, 4, 3, 4, 1, 3, 3, 2, 0, 0, 3, 3, 4, 1, 4, 2, 3, 2, 4, 3, 1, 1, 3, 0, 4, 0, 1, 0, 1, 1, 1, 2, 4, 2, 2, 1, 1, 2, 4, 3, 1, 3, 4, 0, 4, 3, 2, 0, 3, 4, 4, 2, 2, 4, 4, 4, 0, 4, 1, 1, 4, 2, 2, 0, 0, 1, 2, 3, 4, 2, 2, 4, 0, 0, 3, 1, 4, 2, 0, 3, 1, 3, 2, 3, 4, 1, 1, 3, 3, 2, 0, 4, 0, 3, 1, 1, 2, 1, 4, 3, 3, 0, 0, 3, 0, 2, 0, 2, 2, 3, 2, 2, 2, 0, 1, 0, 2, 3, 0, 0, 4, 0, 1, 1, 1, 4, 2, 2, 2, 2, 0, 1, 0, 0, 3, 0, 2, 2, 0, 1, 4, 2, 2, 1, 1, 3, 0, 2, 3, 4, 0, 1, 2, 4] pubkeycol640 = [4, 2, 4, 3, 0, 2, 4, 4, 2, 2, 1, 0, 0, 2, 4, 1, 3, 0, 1, 4, 3, 1, 4, 3, 1, 0, 1, 2, 2, 4, 4, 2, 4, 3, 2, 0, 4, 3, 2, 4, 4, 0, 4, 4, 2, 1, 3, 2, 3, 0, 1, 4, 4, 2, 2, 0, 0, 4, 4, 1, 0, 4, 0, 1, 2, 0, 3, 4, 3, 2, 0, 1, 1, 3, 1, 4, 2, 4, 1, 1, 0, 3, 3, 0, 0, 3, 3, 2, 3, 4, 1, 4, 0, 2, 2, 0, 1, 1, 0, 0, 4, 4, 1, 1, 4, 2, 0, 2, 4, 1, 0, 3, 2, 3, 1, 3, 3, 3, 4, 2, 4, 2, 1, 4, 4, 2, 0, 2, 0, 0, 1, 3, 3, 0, 1, 4, 3, 4, 1, 3, 0, 3, 4, 4, 4, 3, 4, 1, 1, 3, 4, 3, 4, 1, 0, 0, 3, 3, 3, 4, 0, 4, 1, 4, 2, 3, 1, 0, 2, 1, 2, 0, 3, 0, 2, 2, 3, 3, 4, 2, 4, 3, 3, 4, 4, 1, 0, 1, 0, 2, 4, 3, 0, 1, 0, 0, 3, 0, 4, 3, 4, 3, 2, 1, 4, 4, 0, 3, 2, 1, 0, 4, 3, 0, 1, 1, 4, 3, 2, 0, 1, 4, 2, 3, 0, 0, 1, 0, 2, 1, 4, 0, 3, 1, 1, 1, 2, 2, 4, 1, 3, 2, 2, 0, 0, 2, 3, 3, 0, 4, 1, 3, 2, 0, 1, 4, 3, 2, 4, 1, 0, 4, 3, 0, 3, 4, 1, 3, 4, 2, 1, 2, 0, 3, 2, 0, 2, 0, 2, 1, 1, 0, 4, 3, 1, 0, 4, 3, 4, 1, 1, 4, 1, 2, 1, 4, 3, 4, 3, 3, 1, 2, 4, 1, 4, 1, 0, 2, 3, 2, 1, 0, 3, 2, 0, 0, 4, 4, 3, 4] pubkeycol641 = [3, 4, 2, 0, 0, 4, 4, 1, 3, 0, 3, 3, 1, 0, 0, 3, 2, 0, 4, 1, 0, 0, 1, 0, 0, 2, 0, 1, 4, 3, 0, 2, 4, 4, 1, 1, 4, 1, 4, 1, 1, 0, 0, 4, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 4, 2, 4, 1, 3, 3, 2, 3, 3, 0, 2, 3, 3, 1, 2, 3, 3, 4, 3, 2, 0, 1, 4, 3, 2, 0, 2, 1, 1, 3, 3, 4, 2, 4, 1, 1, 4, 3, 1, 4, 2, 0, 0, 2, 2, 1, 4, 1, 3, 4, 4, 2, 3, 4, 0, 3, 1, 1, 3, 3, 0, 2, 3, 2, 4, 4, 4, 0, 1, 2, 3, 3, 3, 2, 2, 3, 4, 0, 1, 2, 0, 0, 3, 4, 3, 2, 3, 3, 4, 2, 0, 3, 3, 2, 0, 2, 4, 4, 0, 3, 0, 3, 3, 3, 4, 1, 4, 0, 4, 2, 4, 2, 4, 4, 3, 1, 1, 4, 0, 3, 4, 1, 1, 4, 1, 3, 2, 1, 2, 3, 2, 4, 1, 2, 3, 2, 4, 1, 4, 1, 2, 0, 3, 0, 2, 0, 1, 2, 4, 3, 3, 3, 4, 0, 0, 3, 3, 1, 0, 0, 2, 0, 1, 4, 1, 2, 3, 1, 0, 4, 2, 4, 2, 4, 4, 2, 2, 2, 1, 1, 2, 4, 4, 2, 2, 0, 4, 4, 0, 1, 0, 1, 1, 4, 3, 3, 0, 1, 0, 1, 2, 3, 0, 0, 2, 2, 2, 3, 2, 3, 4, 2, 1, 1, 2, 2, 4, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 2, 1, 4, 3, 4, 3, 1, 1, 2, 4, 4, 1, 3, 1, 2, 4, 4, 3, 2, 1, 1, 1, 1, 0, 4, 4, 1, 4, 1, 3, 1, 2, 2, 3, 2, 4] pubkeycol642 = [2, 1, 4, 2, 0, 2, 0, 2, 4, 0, 3, 0, 1, 3, 3, 0, 2, 1, 2, 2, 0, 4, 3, 3, 4, 1, 1, 4, 4, 0, 4, 2, 1, 2, 3, 3, 2, 2, 0, 4, 2, 1, 1, 0, 1, 1, 4, 0, 3, 0, 0, 3, 3, 4, 3, 4, 0, 2, 2, 3, 2, 2, 1, 2, 1, 0, 2, 2, 3, 0, 1, 0, 3, 0, 2, 3, 2, 0, 2, 2, 4, 3, 4, 3, 4, 1, 3, 1, 3, 4, 0, 1, 0, 1, 3, 1, 1, 3, 2, 0, 0, 2, 1, 3, 0, 3, 2, 2, 1, 0, 3, 1, 3, 3, 4, 3, 2, 4, 4, 1, 2, 1, 4, 0, 3, 2, 4, 4, 0, 2, 2, 2, 2, 1, 3, 2, 4, 0, 2, 1, 2, 3, 2, 4, 3, 2, 4, 1, 3, 0, 3, 0, 1, 2, 1, 4, 2, 2, 2, 2, 3, 2, 2, 0, 4, 4, 2, 4, 0, 2, 2, 4, 4, 2, 0, 0, 4, 2, 0, 3, 2, 3, 0, 2, 0, 3, 1, 0, 0, 1, 1, 3, 2, 3, 3, 2, 1, 1, 4, 3, 0, 3, 1, 2, 4, 3, 3, 3, 0, 1, 2, 2, 4, 3, 0, 4, 0, 1, 3, 0, 2, 3, 4, 3, 0, 2, 0, 1, 3, 4, 4, 2, 3, 0, 1, 0, 3, 0, 4, 1, 1, 4, 0, 4, 1, 0, 1, 3, 2, 0, 3, 2, 3, 0, 4, 3, 4, 3, 1, 4, 1, 2, 2, 0, 4, 1, 0, 2, 1, 4, 2, 4, 3, 0, 4, 1, 4, 2, 2, 4, 4, 0, 1, 0, 3, 1, 2, 0, 4, 3, 0, 1, 2, 1, 2, 3, 1, 4, 2, 1, 4, 0, 2, 2, 0, 1, 3, 2, 3, 2, 4, 1, 3, 4, 3, 2, 4, 1, 2, 4] pubkeycol643 = [4, 4, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 4, 2, 4, 0, 4, 2, 3, 4, 0, 4, 0, 0, 1, 3, 0, 0, 3, 1, 4, 2, 4, 3, 2, 4, 3, 2, 4, 1, 0, 4, 2, 4, 1, 0, 3, 1, 0, 3, 2, 2, 1, 3, 3, 0, 1, 2, 2, 4, 0, 2, 1, 3, 2, 3, 0, 4, 4, 2, 4, 0, 3, 3, 1, 3, 3, 0, 3, 1, 0, 2, 1, 0, 4, 2, 4, 1, 3, 0, 1, 2, 3, 4, 0, 3, 1, 3, 1, 3, 2, 1, 1, 1, 4, 1, 4, 3, 0, 3, 3, 0, 2, 4, 0, 4, 1, 0, 0, 0, 1, 1, 1, 0, 1, 3, 4, 1, 0, 1, 4, 2, 1, 2, 0, 0, 3, 1, 4, 4, 0, 4, 3, 3, 3, 0, 2, 1, 0, 4, 3, 2, 4, 2, 4, 1, 0, 2, 2, 3, 1, 2, 1, 0, 3, 4, 1, 4, 0, 4, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 4, 1, 3, 2, 0, 1, 0, 0, 0, 1, 3, 0, 1, 1, 3, 4, 3, 4, 1, 4, 3, 4, 2, 3, 4, 1, 2, 1, 2, 0, 0, 1, 3, 3, 3, 2, 1, 1, 2, 2, 2, 4, 2, 1, 4, 2, 2, 3, 0, 2, 4, 0, 4, 2, 2, 0, 0, 4, 1, 3, 4, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 3, 2, 4, 0, 4, 2, 2, 4, 0, 2, 1, 1, 1, 2, 0, 2, 3, 3, 4, 0, 0, 1, 3, 4, 3, 4, 1, 1, 4, 0, 0, 2, 4, 2, 2, 3, 0, 0, 4, 1, 1, 3, 0, 0, 2, 4, 4, 1, 3, 2, 0, 0, 1, 2, 2, 4, 3, 1, 0, 1] pubkeycol644 = [2, 3, 3, 0, 0, 1, 4, 4, 1, 4, 1, 4, 3, 2, 3, 0, 0, 1, 0, 3, 4, 2, 0, 1, 0, 3, 0, 3, 0, 0, 3, 2, 3, 3, 3, 0, 3, 1, 2, 2, 3, 3, 0, 4, 1, 0, 1, 2, 4, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 3, 2, 4, 3, 4, 4, 0, 3, 1, 0, 0, 3, 0, 4, 1, 2, 3, 2, 1, 3, 2, 0, 0, 4, 1, 2, 2, 2, 1, 4, 2, 3, 4, 2, 1, 0, 3, 2, 0, 2, 4, 1, 1, 2, 1, 0, 1, 4, 0, 4, 4, 1, 0, 2, 0, 4, 0, 2, 3, 1, 3, 2, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 2, 0, 0, 0, 0, 3, 2, 0, 3, 4, 2, 0, 4, 4, 2, 2, 0, 4, 0, 1, 3, 1, 4, 4, 0, 4, 3, 0, 4, 1, 2, 4, 1, 0, 3, 0, 0, 2, 3, 1, 2, 0, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 4, 1, 4, 0, 3, 4, 3, 2, 1, 1, 1, 4, 3, 4, 2, 2, 3, 1, 0, 2, 4, 4, 4, 3, 4, 2, 3, 3, 2, 0, 4, 4, 1, 4, 4, 3, 1, 4, 4, 4, 4, 1, 1, 4, 4, 2, 1, 2, 0, 4, 1, 1, 4, 4, 1, 4, 3, 0, 3, 0, 3, 1, 4, 4, 0, 0, 2, 4, 4, 3, 3, 0, 3, 4, 3, 2, 0, 2, 1, 4, 4, 3, 2, 3, 2, 1, 2, 2, 4, 0, 1, 1, 4, 4, 3, 2, 2, 2, 0, 3, 2, 3, 0, 3, 3, 0, 0, 1, 3, 3, 3, 0, 2, 3, 0, 2, 0, 3, 4, 3, 2, 1, 0, 1, 2, 1, 1, 4, 0, 4, 4, 0, 1, 1, 2, 0] pubkeycol645 = [4, 0, 4, 2, 3, 4, 0, 0, 3, 1, 1, 3, 3, 3, 4, 4, 1, 1, 1, 0, 3, 2, 3, 3, 3, 1, 4, 3, 3, 4, 1, 2, 0, 1, 2, 3, 3, 3, 0, 0, 1, 1, 4, 2, 0, 3, 0, 4, 3, 4, 2, 1, 2, 2, 3, 2, 2, 3, 3, 3, 1, 3, 0, 2, 2, 3, 2, 4, 1, 4, 1, 0, 0, 0, 0, 2, 1, 3, 4, 2, 4, 2, 1, 0, 4, 1, 4, 3, 4, 3, 1, 3, 3, 1, 2, 4, 2, 0, 1, 3, 2, 4, 3, 0, 4, 2, 3, 0, 2, 3, 2, 2, 4, 3, 1, 1, 2, 4, 4, 4, 3, 0, 3, 1, 0, 2, 3, 3, 2, 4, 0, 2, 0, 4, 1, 2, 2, 3, 4, 0, 2, 0, 0, 0, 3, 2, 2, 3, 4, 2, 2, 2, 0, 0, 3, 0, 4, 1, 0, 0, 2, 3, 1, 0, 3, 1, 1, 3, 3, 1, 4, 2, 1, 3, 4, 0, 3, 1, 0, 3, 0, 1, 2, 2, 4, 4, 3, 0, 3, 4, 2, 4, 0, 1, 2, 1, 4, 1, 2, 3, 4, 3, 2, 4, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 4, 4, 4, 3, 3, 3, 1, 2, 4, 1, 2, 3, 3, 2, 4, 3, 0, 4, 1, 3, 0, 2, 3, 3, 4, 4, 4, 1, 2, 3, 0, 2, 1, 0, 2, 0, 3, 4, 2, 2, 4, 3, 4, 0, 2, 2, 4, 3, 0, 3, 3, 2, 2, 3, 1, 0, 3, 3, 1, 3, 4, 3, 4, 2, 2, 4, 1, 1, 2, 0, 0, 1, 3, 1, 0, 4, 0, 3, 3, 2, 1, 4, 0, 3, 0, 2, 4, 0, 3, 3, 3, 1, 2, 2, 2] pubkeycol646 = [2, 0, 2, 3, 4, 4, 2, 1, 3, 3, 3, 3, 3, 4, 2, 4, 3, 3, 1, 1, 4, 0, 3, 1, 0, 3, 3, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 3, 1, 2, 4, 4, 2, 2, 0, 2, 4, 2, 2, 3, 0, 0, 0, 0, 0, 0, 1, 3, 4, 1, 0, 4, 1, 4, 3, 2, 3, 2, 1, 3, 3, 2, 2, 0, 2, 1, 0, 1, 4, 2, 1, 0, 2, 1, 4, 3, 2, 4, 0, 4, 1, 3, 4, 0, 1, 4, 2, 0, 3, 2, 4, 1, 3, 0, 3, 1, 4, 3, 4, 1, 4, 3, 2, 1, 1, 2, 3, 3, 4, 2, 2, 0, 1, 1, 0, 1, 2, 4, 3, 3, 4, 3, 4, 4, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 2, 1, 4, 2, 4, 1, 1, 4, 4, 1, 0, 0, 2, 4, 1, 1, 4, 3, 3, 4, 4, 1, 3, 0, 0, 1, 1, 0, 1, 4, 0, 0, 0, 3, 1, 1, 2, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 1, 1, 3, 1, 4, 1, 0, 0, 2, 4, 0, 2, 3, 3, 2, 0, 0, 0, 0, 1, 3, 0, 0, 0, 2, 1, 3, 1, 2, 4, 1, 1, 1, 1, 4, 0, 0, 1, 0, 1, 2, 2, 3, 0, 1, 1, 4, 2, 0, 0, 1, 2, 1, 1, 1, 4, 1, 0, 1, 3, 4, 4, 3, 3, 2, 4, 3, 2, 4, 4, 1, 2, 3, 2, 0, 3, 1, 1, 3, 2, 1, 3, 3, 4, 4, 4, 3, 4, 3, 1, 2, 4, 3, 3, 4, 0, 2, 3, 3, 3, 1, 4, 4, 3, 1, 4, 3, 0, 3, 4, 2, 1, 4, 0, 1, 0, 3, 1, 1, 1, 1, 0, 1, 0, 1, 3, 2, 4] pubkeycol647 = [0, 0, 2, 0, 2, 4, 1, 3, 3, 4, 0, 1, 0, 3, 1, 1, 2, 2, 3, 2, 1, 2, 2, 3, 4, 4, 4, 4, 1, 3, 4, 0, 0, 0, 0, 4, 0, 2, 0, 2, 1, 3, 0, 0, 2, 1, 0, 2, 2, 0, 1, 3, 2, 3, 2, 2, 4, 0, 1, 2, 3, 4, 4, 2, 1, 2, 4, 1, 1, 2, 2, 0, 4, 2, 0, 0, 1, 2, 4, 4, 3, 4, 2, 1, 0, 4, 4, 2, 2, 1, 4, 1, 1, 1, 3, 1, 4, 4, 0, 0, 4, 3, 4, 4, 1, 0, 2, 3, 2, 2, 1, 1, 3, 1, 0, 2, 0, 0, 4, 1, 0, 4, 3, 0, 0, 2, 4, 4, 1, 3, 1, 2, 3, 3, 1, 0, 0, 3, 1, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 0, 3, 3, 0, 1, 3, 0, 3, 4, 0, 1, 1, 1, 4, 0, 0, 4, 3, 2, 4, 0, 0, 3, 4, 0, 4, 1, 1, 1, 2, 0, 0, 2, 3, 4, 3, 0, 3, 1, 4, 2, 4, 3, 0, 1, 1, 0, 0, 2, 1, 2, 3, 0, 3, 0, 1, 0, 1, 1, 4, 2, 0, 2, 3, 2, 3, 4, 2, 2, 4, 2, 0, 4, 1, 2, 3, 0, 0, 4, 2, 1, 4, 4, 3, 2, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 4, 2, 1, 1, 0, 4, 3, 3, 4, 2, 3, 0, 1, 0, 1, 1, 0, 1, 0, 3, 1, 1, 3, 1, 4, 4, 2, 0, 3, 4, 0, 1, 3, 0, 4, 0, 3, 3, 4, 0, 4, 1, 4, 2, 1, 4, 4, 3, 0, 4, 1, 0, 4, 4, 0, 2, 4, 3, 3, 2, 0, 1, 0, 4, 3, 2, 0, 2, 1, 1, 1, 4] pubkeycol648 = [1, 4, 0, 1, 4, 0, 1, 2, 1, 4, 4, 4, 0, 2, 0, 3, 1, 4, 3, 1, 0, 1, 0, 4, 4, 4, 3, 1, 1, 0, 4, 0, 0, 2, 3, 2, 0, 1, 4, 0, 4, 1, 4, 1, 4, 0, 3, 1, 0, 2, 0, 2, 1, 2, 3, 2, 3, 1, 2, 4, 4, 3, 1, 2, 3, 4, 4, 4, 2, 3, 4, 1, 0, 0, 2, 1, 2, 4, 1, 2, 3, 4, 1, 3, 2, 0, 1, 0, 3, 0, 4, 2, 4, 2, 1, 3, 1, 1, 4, 2, 2, 1, 1, 4, 3, 2, 4, 0, 4, 2, 0, 3, 0, 2, 3, 0, 3, 0, 3, 1, 2, 2, 4, 1, 3, 3, 4, 1, 3, 1, 1, 3, 1, 2, 2, 2, 0, 4, 1, 0, 1, 1, 1, 4, 3, 0, 1, 0, 2, 1, 3, 4, 1, 4, 1, 3, 4, 2, 1, 4, 1, 0, 1, 0, 2, 1, 3, 3, 1, 0, 3, 1, 2, 3, 3, 4, 0, 1, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 3, 2, 2, 1, 1, 1, 4, 1, 3, 4, 2, 3, 0, 1, 1, 4, 3, 1, 0, 2, 3, 1, 4, 4, 2, 4, 2, 2, 3, 0, 4, 0, 4, 2, 3, 3, 4, 0, 3, 0, 1, 0, 0, 1, 3, 3, 2, 0, 4, 4, 2, 0, 0, 3, 3, 4, 2, 0, 4, 4, 0, 0, 0, 3, 2, 3, 4, 3, 2, 1, 2, 3, 4, 0, 0, 3, 1, 3, 1, 4, 3, 1, 0, 4, 2, 1, 2, 0, 1, 1, 0, 4, 2, 1, 2, 4, 2, 4, 2, 1, 3, 1, 2, 2, 3, 3, 4, 2, 3, 1, 4, 0, 3, 3, 1, 4, 0, 4, 2, 1, 1, 2, 0, 4, 1, 3, 2, 2, 0, 3] pubkeycol649 = [0, 2, 0, 2, 3, 2, 1, 3, 2, 0, 1, 2, 1, 0, 4, 2, 4, 0, 2, 0, 0, 2, 2, 0, 4, 3, 4, 4, 2, 0, 0, 1, 0, 1, 1, 3, 0, 1, 2, 2, 0, 1, 3, 4, 0, 2, 0, 2, 2, 2, 2, 3, 2, 3, 3, 4, 3, 1, 4, 0, 0, 2, 1, 4, 4, 4, 0, 3, 2, 0, 4, 3, 4, 1, 2, 0, 0, 4, 2, 0, 3, 1, 0, 3, 1, 4, 2, 1, 2, 2, 0, 3, 0, 3, 3, 1, 0, 4, 1, 2, 1, 4, 2, 2, 3, 0, 3, 4, 0, 3, 4, 3, 0, 4, 2, 0, 2, 4, 0, 0, 3, 0, 2, 0, 3, 3, 3, 2, 1, 0, 4, 1, 0, 3, 4, 4, 1, 0, 0, 1, 3, 2, 1, 3, 3, 1, 1, 4, 3, 2, 1, 4, 2, 3, 1, 0, 0, 3, 4, 0, 0, 2, 1, 1, 4, 0, 2, 4, 1, 2, 0, 2, 1, 2, 4, 2, 4, 3, 1, 0, 3, 4, 2, 2, 1, 0, 2, 1, 2, 3, 0, 1, 4, 4, 1, 1, 3, 4, 1, 2, 1, 4, 3, 2, 3, 4, 3, 0, 4, 2, 3, 2, 4, 1, 1, 3, 2, 1, 3, 0, 1, 2, 0, 1, 0, 0, 0, 2, 4, 4, 0, 3, 0, 4, 1, 0, 3, 3, 1, 3, 3, 1, 3, 4, 1, 0, 0, 2, 0, 1, 4, 4, 0, 0, 4, 0, 1, 3, 2, 4, 3, 2, 1, 2, 3, 3, 2, 0, 2, 1, 2, 4, 2, 2, 0, 4, 2, 2, 4, 3, 4, 3, 3, 2, 1, 4, 0, 0, 0, 0, 1, 4, 1, 2, 3, 0, 2, 2, 2, 3, 3, 2, 4, 0, 3, 1, 4, 0, 0, 2, 2, 3, 3, 0, 4, 2, 3, 1, 2, 0] pubkeycol650 = [2, 1, 2, 1, 4, 4, 3, 1, 2, 0, 3, 2, 0, 1, 2, 3, 2, 1, 3, 3, 1, 2, 4, 3, 3, 2, 1, 3, 0, 2, 4, 3, 1, 4, 0, 3, 3, 3, 2, 0, 3, 0, 2, 1, 3, 1, 4, 2, 3, 1, 2, 3, 3, 1, 2, 1, 0, 4, 4, 4, 3, 1, 0, 2, 3, 3, 4, 1, 1, 0, 4, 0, 0, 3, 1, 4, 0, 1, 3, 2, 1, 2, 0, 2, 1, 3, 3, 1, 2, 2, 1, 3, 1, 3, 0, 3, 2, 0, 3, 2, 2, 4, 1, 2, 3, 4, 1, 0, 4, 2, 3, 4, 1, 4, 0, 2, 2, 4, 0, 0, 2, 0, 2, 2, 3, 3, 3, 4, 3, 1, 4, 3, 4, 2, 4, 2, 0, 0, 3, 2, 2, 1, 4, 3, 4, 1, 0, 2, 1, 2, 3, 1, 0, 1, 3, 2, 0, 3, 0, 2, 1, 0, 4, 4, 1, 3, 2, 3, 2, 4, 4, 3, 2, 3, 0, 4, 3, 3, 2, 3, 4, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 4, 1, 2, 4, 3, 1, 3, 0, 4, 2, 2, 4, 2, 0, 3, 4, 0, 0, 3, 2, 3, 2, 2, 1, 1, 4, 3, 3, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 3, 4, 4, 2, 2, 0, 1, 1, 1, 1, 4, 4, 4, 4, 3, 3, 3, 0, 3, 2, 1, 4, 0, 1, 1, 4, 2, 1, 2, 2, 3, 4, 0, 2, 1, 0, 0, 4, 4, 2, 0, 3, 1, 1, 2, 1, 4, 0, 3, 4, 2, 4, 4, 4, 2, 3, 4, 0, 4, 1, 2, 0, 1, 4, 3, 3, 3, 2, 1, 1, 0, 1, 4, 2, 0, 3, 4, 1, 0, 1, 1, 4, 1, 2, 4] pubkeycol651 = [4, 4, 0, 4, 1, 0, 2, 4, 1, 4, 2, 1, 4, 4, 4, 4, 4, 0, 0, 2, 3, 4, 4, 4, 1, 2, 0, 3, 4, 2, 3, 3, 4, 4, 1, 2, 2, 0, 2, 2, 0, 4, 2, 4, 2, 0, 2, 2, 1, 0, 3, 4, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 0, 1, 2, 0, 1, 2, 4, 0, 0, 2, 0, 1, 0, 1, 1, 0, 3, 2, 1, 0, 3, 4, 1, 1, 1, 0, 3, 3, 0, 1, 0, 0, 3, 3, 4, 0, 3, 0, 0, 2, 1, 0, 1, 4, 1, 4, 4, 2, 1, 1, 0, 0, 3, 2, 0, 3, 2, 4, 1, 1, 1, 0, 1, 0, 1, 0, 0, 3, 0, 0, 1, 2, 4, 3, 0, 4, 3, 2, 3, 2, 4, 3, 4, 0, 0, 0, 4, 1, 4, 0, 2, 3, 0, 4, 1, 2, 4, 4, 1, 4, 0, 3, 3, 3, 2, 1, 1, 4, 4, 3, 4, 3, 1, 3, 3, 3, 1, 2, 1, 2, 4, 1, 1, 4, 1, 4, 0, 4, 4, 2, 2, 3, 1, 3, 1, 1, 3, 1, 3, 4, 0, 0, 0, 1, 4, 0, 4, 1, 0, 0, 0, 1, 4, 1, 0, 4, 1, 3, 1, 3, 2, 1, 3, 2, 3, 0, 4, 4, 0, 0, 2, 0, 1, 3, 1, 3, 0, 2, 1, 2, 3, 2, 4, 1, 1, 1, 2, 3, 3, 1, 2, 3, 2, 2, 2, 1, 0, 3, 1, 1, 1, 0, 0, 4, 3, 0, 3, 1, 2, 2, 4, 3, 4, 0, 4, 3, 0, 4, 3, 3, 2, 3, 2, 1, 0, 1, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 0, 0, 1, 4, 0, 4, 1, 0, 2, 4, 3, 3, 2, 2, 0, 2, 3, 1, 0] pubkeycol652 = [4, 1, 2, 4, 2, 2, 2, 4, 1, 2, 0, 4, 0, 1, 4, 0, 2, 3, 4, 3, 0, 0, 0, 3, 0, 4, 2, 2, 3, 2, 3, 0, 2, 1, 4, 2, 0, 4, 2, 2, 3, 1, 1, 2, 3, 0, 1, 0, 4, 1, 4, 2, 0, 1, 3, 3, 2, 0, 4, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 1, 4, 1, 2, 1, 0, 1, 1, 2, 2, 1, 3, 3, 0, 4, 3, 0, 0, 1, 0, 3, 3, 1, 0, 3, 4, 0, 1, 3, 1, 1, 1, 0, 2, 2, 3, 3, 1, 2, 1, 4, 4, 2, 2, 0, 2, 3, 1, 3, 4, 0, 3, 1, 1, 2, 2, 0, 4, 3, 1, 0, 2, 1, 3, 4, 1, 0, 3, 0, 0, 2, 4, 2, 2, 1, 0, 1, 1, 4, 4, 2, 2, 3, 2, 1, 2, 2, 1, 4, 0, 1, 1, 3, 0, 2, 4, 3, 1, 0, 1, 0, 3, 0, 3, 4, 1, 3, 3, 3, 3, 4, 1, 2, 3, 0, 3, 3, 4, 1, 4, 3, 1, 4, 0, 1, 3, 3, 4, 1, 1, 4, 2, 3, 1, 2, 4, 1, 0, 1, 2, 2, 2, 1, 0, 3, 4, 4, 2, 0, 4, 1, 0, 3, 0, 0, 2, 1, 0, 0, 1, 3, 2, 4, 0, 4, 0, 2, 1, 1, 3, 2, 1, 2, 1, 2, 2, 2, 0, 4, 2, 4, 0, 2, 3, 0, 3, 4, 2, 0, 3, 4, 0, 2, 4, 0, 0, 3, 1, 3, 2, 1, 4, 3, 1, 0, 4, 1, 4, 1, 2, 0, 4, 3, 3, 0, 3, 4, 2, 3, 1, 4, 2, 1, 0, 4, 3, 1, 0, 0, 2, 1, 1, 4, 4, 4, 4, 0, 0, 1, 3, 2, 1, 4, 3, 1, 4, 0, 1, 2, 1, 1] pubkeycol653 = [4, 2, 4, 4, 0, 2, 3, 2, 3, 2, 4, 3, 2, 0, 2, 2, 2, 2, 3, 2, 0, 0, 4, 1, 2, 0, 0, 0, 0, 4, 1, 1, 4, 3, 4, 3, 1, 1, 3, 4, 4, 1, 0, 3, 4, 4, 1, 0, 2, 4, 2, 3, 1, 4, 2, 4, 4, 4, 0, 4, 3, 3, 4, 1, 4, 0, 2, 2, 1, 2, 0, 3, 1, 2, 3, 2, 3, 0, 3, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 4, 4, 4, 4, 3, 4, 4, 0, 0, 3, 3, 3, 2, 0, 2, 3, 4, 0, 0, 0, 0, 3, 1, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 3, 1, 2, 0, 3, 2, 0, 4, 1, 0, 1, 0, 1, 1, 3, 2, 3, 0, 1, 0, 0, 3, 4, 1, 2, 4, 3, 0, 4, 1, 4, 4, 4, 0, 0, 2, 4, 1, 3, 3, 1, 1, 3, 0, 2, 1, 4, 2, 0, 3, 4, 2, 1, 2, 2, 1, 0, 1, 0, 3, 1, 4, 3, 0, 0, 4, 3, 1, 3, 2, 0, 1, 0, 1, 3, 4, 2, 3, 0, 2, 0, 4, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 3, 4, 4, 1, 0, 2, 3, 4, 0, 3, 2, 3, 1, 4, 3, 4, 4, 0, 4, 0, 0, 0, 1, 4, 3, 1, 0, 0, 1, 0, 3, 4, 4, 0, 4, 0, 2, 2, 3, 3, 2, 4, 4, 2, 0, 0, 3, 1, 4, 0, 2, 4, 4, 3, 0, 3, 1, 1, 3, 2, 4, 0, 1, 1, 4, 3, 4, 4, 2, 1, 0, 4, 4, 2, 1, 4, 3, 4, 0, 2, 1, 0, 0, 0, 4, 1, 4, 2, 4, 1, 4, 3, 0, 4, 0, 0, 3] pubkeycol654 = [0, 0, 3, 2, 3, 2, 3, 3, 4, 2, 1, 1, 2, 3, 0, 2, 2, 0, 1, 3, 4, 3, 0, 3, 0, 1, 2, 3, 3, 1, 3, 1, 3, 4, 4, 3, 0, 1, 3, 0, 4, 4, 0, 2, 3, 2, 4, 4, 4, 2, 4, 0, 0, 2, 1, 4, 2, 3, 4, 1, 0, 2, 4, 2, 1, 0, 3, 2, 0, 0, 0, 0, 0, 1, 3, 1, 0, 2, 0, 3, 3, 4, 3, 3, 0, 1, 2, 3, 1, 0, 2, 0, 2, 4, 1, 1, 1, 3, 2, 4, 4, 4, 3, 2, 2, 1, 3, 1, 1, 2, 2, 3, 2, 4, 1, 2, 1, 4, 3, 4, 0, 0, 2, 1, 3, 4, 4, 0, 1, 1, 4, 3, 2, 4, 4, 2, 3, 2, 2, 4, 0, 3, 0, 4, 1, 4, 0, 3, 0, 1, 4, 1, 2, 0, 4, 3, 3, 1, 3, 4, 1, 4, 1, 1, 2, 4, 1, 2, 1, 2, 3, 0, 2, 2, 1, 0, 0, 2, 2, 3, 0, 4, 1, 4, 4, 3, 4, 3, 2, 0, 1, 1, 4, 2, 3, 0, 3, 0, 4, 3, 1, 3, 2, 3, 4, 2, 2, 3, 3, 0, 4, 1, 4, 1, 3, 2, 2, 4, 2, 1, 4, 1, 1, 1, 4, 3, 1, 3, 3, 1, 4, 4, 1, 4, 2, 4, 0, 4, 4, 0, 4, 2, 1, 1, 4, 3, 4, 4, 3, 2, 0, 1, 2, 2, 4, 4, 3, 1, 4, 1, 2, 3, 3, 2, 4, 4, 3, 0, 3, 1, 0, 4, 1, 4, 3, 0, 2, 4, 1, 1, 3, 3, 3, 3, 2, 0, 3, 4, 3, 3, 0, 4, 0, 3, 2, 3, 4, 1, 1, 3, 0, 4, 0, 2, 1, 0, 3, 1, 2, 4, 2, 0, 1, 2, 1, 4, 2, 4, 0, 4] pubkeycol655 = [3, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 4, 3, 2, 0, 4, 4, 2, 4, 0, 3, 1, 2, 2, 1, 0, 3, 0, 2, 0, 1, 4, 1, 1, 1, 3, 1, 2, 4, 0, 0, 3, 1, 1, 0, 0, 2, 0, 4, 3, 3, 2, 3, 1, 2, 1, 2, 1, 3, 1, 0, 4, 2, 3, 2, 4, 3, 0, 4, 3, 1, 4, 2, 1, 4, 2, 4, 3, 4, 1, 1, 1, 1, 1, 2, 1, 2, 0, 4, 1, 3, 1, 0, 0, 2, 1, 0, 0, 4, 4, 2, 0, 2, 2, 0, 0, 3, 2, 4, 1, 0, 3, 2, 3, 3, 4, 1, 0, 3, 0, 0, 4, 1, 3, 3, 1, 0, 1, 2, 0, 0, 2, 0, 4, 0, 4, 0, 3, 0, 2, 4, 4, 1, 3, 3, 1, 2, 3, 0, 4, 4, 1, 4, 2, 4, 1, 4, 4, 0, 4, 4, 1, 3, 4, 4, 1, 0, 4, 2, 2, 4, 3, 1, 2, 4, 1, 2, 0, 3, 1, 0, 2, 3, 1, 1, 4, 0, 2, 1, 3, 3, 2, 2, 0, 3, 4, 2, 3, 0, 0, 3, 3, 4, 0, 2, 4, 0, 1, 0, 4, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 3, 4, 2, 2, 3, 1, 4, 1, 2, 0, 1, 3, 3, 1, 0, 0, 0, 4, 4, 0, 2, 1, 3, 3, 1, 0, 4, 2, 0, 1, 0, 0, 4, 2, 0, 2, 3, 2, 2, 3, 4, 3, 2, 4, 3, 3, 1, 3, 4, 2, 2, 1, 3, 4, 0, 2, 3, 2, 4, 2, 0, 4, 0, 0, 3, 1, 3, 1, 1, 2, 3, 0, 0, 1, 3, 2, 1, 3, 2, 3, 4, 1, 1, 0, 3, 0, 4, 3, 2, 3, 2, 4, 2, 3, 3] pubkeycol656 = [4, 0, 4, 2, 3, 4, 1, 4, 1, 4, 2, 3, 4, 4, 0, 1, 0, 3, 3, 0, 2, 0, 4, 3, 0, 3, 2, 0, 3, 1, 2, 3, 3, 3, 1, 0, 2, 0, 4, 0, 0, 1, 2, 4, 4, 0, 1, 1, 4, 2, 3, 4, 1, 3, 0, 4, 1, 4, 3, 1, 1, 0, 0, 4, 1, 0, 2, 2, 2, 1, 4, 2, 4, 4, 2, 1, 2, 0, 1, 2, 1, 0, 0, 3, 4, 4, 3, 4, 1, 2, 2, 3, 1, 4, 4, 2, 4, 0, 2, 4, 0, 3, 4, 3, 3, 0, 3, 2, 1, 2, 3, 3, 1, 3, 0, 2, 4, 3, 3, 0, 1, 2, 4, 2, 3, 4, 4, 3, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 4, 2, 1, 4, 3, 4, 0, 4, 1, 4, 0, 4, 4, 4, 2, 2, 2, 3, 4, 4, 1, 3, 4, 4, 0, 0, 1, 2, 2, 1, 0, 0, 4, 2, 0, 2, 4, 4, 0, 2, 4, 3, 1, 4, 4, 3, 1, 4, 4, 4, 1, 4, 1, 0, 3, 0, 0, 0, 3, 1, 4, 0, 4, 3, 3, 3, 3, 4, 2, 3, 0, 1, 2, 1, 0, 2, 0, 1, 4, 2, 3, 1, 4, 3, 2, 4, 2, 1, 2, 0, 4, 0, 4, 2, 0, 3, 0, 1, 0, 0, 3, 4, 3, 3, 3, 2, 4, 1, 2, 1, 4, 1, 4, 0, 3, 3, 3, 1, 4, 1, 1, 4, 3, 1, 0, 4, 2, 1, 0, 2, 2, 3, 3, 3, 0, 1, 2, 3, 2, 1, 4, 4, 4, 1, 2, 4, 1, 3, 1, 0, 0, 2, 0, 3, 3, 4, 1, 0, 2, 4, 3, 0, 2, 2, 2, 4, 2, 2, 1, 1, 1, 4, 1, 0, 4, 2, 0, 3, 4] pubkeycol657 = [3, 0, 4, 1, 3, 1, 2, 1, 3, 0, 0, 2, 3, 1, 2, 3, 0, 3, 4, 3, 4, 3, 0, 4, 2, 0, 4, 0, 3, 1, 4, 3, 3, 1, 1, 0, 0, 1, 1, 3, 0, 0, 3, 1, 1, 2, 1, 2, 3, 0, 2, 0, 2, 1, 2, 2, 1, 3, 1, 0, 3, 2, 0, 1, 2, 2, 0, 2, 1, 4, 3, 4, 1, 4, 0, 2, 0, 0, 4, 3, 3, 4, 0, 2, 3, 2, 0, 2, 3, 4, 4, 1, 3, 3, 1, 3, 3, 0, 3, 4, 4, 3, 1, 1, 4, 4, 0, 2, 4, 2, 3, 0, 1, 4, 0, 3, 2, 3, 3, 1, 4, 2, 2, 0, 0, 0, 4, 1, 1, 2, 3, 2, 0, 4, 0, 0, 0, 1, 2, 1, 2, 2, 4, 4, 1, 4, 1, 0, 1, 2, 2, 4, 0, 0, 1, 2, 1, 1, 2, 4, 4, 4, 0, 2, 4, 1, 2, 1, 3, 3, 0, 3, 4, 4, 0, 3, 3, 4, 0, 2, 1, 2, 4, 3, 3, 1, 4, 2, 4, 4, 0, 4, 2, 4, 2, 2, 4, 2, 1, 3, 2, 4, 0, 4, 4, 2, 2, 0, 0, 3, 0, 0, 4, 1, 4, 0, 4, 0, 3, 0, 0, 4, 3, 0, 4, 1, 0, 3, 2, 0, 0, 3, 4, 0, 2, 3, 3, 3, 2, 2, 3, 1, 1, 3, 2, 1, 0, 1, 1, 0, 1, 3, 3, 3, 4, 0, 3, 3, 0, 2, 4, 3, 1, 3, 3, 1, 2, 2, 3, 4, 0, 1, 1, 2, 3, 3, 2, 3, 0, 2, 3, 0, 0, 4, 3, 2, 1, 1, 2, 4, 3, 2, 4, 1, 4, 4, 4, 4, 3, 2, 3, 2, 1, 1, 2, 2, 3, 4, 3, 1, 1, 0, 2, 2, 3, 4, 3, 3, 1, 2] pubkeycol658 = [1, 3, 1, 1, 4, 4, 0, 1, 2, 3, 4, 4, 4, 2, 4, 1, 0, 0, 1, 1, 3, 1, 0, 1, 3, 2, 1, 1, 0, 0, 4, 2, 3, 2, 0, 3, 0, 0, 2, 1, 2, 1, 4, 2, 1, 3, 0, 0, 0, 4, 1, 2, 2, 0, 2, 2, 4, 3, 2, 2, 2, 1, 3, 2, 2, 3, 0, 3, 0, 2, 1, 4, 2, 1, 2, 2, 3, 1, 0, 4, 4, 2, 0, 3, 3, 4, 0, 1, 3, 0, 4, 1, 3, 1, 0, 4, 1, 3, 2, 3, 4, 3, 4, 4, 2, 2, 0, 2, 3, 4, 1, 1, 4, 2, 0, 0, 0, 1, 0, 4, 3, 2, 0, 0, 3, 2, 0, 2, 1, 4, 3, 1, 3, 1, 4, 0, 2, 2, 1, 4, 1, 2, 3, 4, 2, 4, 0, 4, 3, 2, 2, 2, 4, 1, 3, 2, 0, 0, 4, 1, 3, 0, 0, 2, 4, 4, 2, 2, 0, 3, 2, 1, 0, 2, 3, 4, 3, 0, 3, 1, 0, 4, 0, 2, 2, 1, 3, 0, 4, 4, 0, 1, 0, 4, 2, 4, 1, 4, 0, 1, 4, 4, 2, 1, 0, 2, 3, 1, 4, 2, 1, 3, 3, 4, 3, 4, 0, 3, 4, 3, 1, 2, 1, 2, 2, 3, 1, 2, 3, 3, 4, 0, 3, 0, 3, 0, 1, 1, 4, 1, 3, 0, 1, 0, 0, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 0, 0, 1, 4, 1, 1, 1, 2, 0, 0, 1, 4, 0, 2, 4, 2, 0, 2, 3, 1, 1, 2, 3, 1, 4, 2, 1, 0, 3, 0, 4, 3, 2, 3, 1, 4, 3, 4, 3, 1, 3, 0, 0, 1, 4, 4, 1, 3, 0, 4, 2, 0, 4, 4, 1, 2, 4, 2, 0, 1, 0, 3, 1, 3, 3] pubkeycol659 = [2, 4, 1, 3, 2, 0, 1, 1, 2, 0, 0, 1, 3, 0, 3, 4, 4, 1, 0, 0, 4, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 3, 0, 0, 1, 4, 3, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 0, 0, 1, 0, 2, 4, 1, 3, 4, 3, 4, 3, 2, 4, 3, 4, 1, 3, 0, 2, 1, 4, 3, 0, 1, 1, 4, 1, 3, 4, 1, 2, 1, 4, 0, 1, 2, 4, 4, 1, 0, 3, 2, 3, 2, 2, 0, 4, 0, 4, 0, 1, 0, 1, 2, 1, 2, 4, 2, 0, 0, 1, 3, 0, 0, 1, 1, 4, 1, 0, 2, 1, 0, 2, 2, 2, 3, 1, 0, 3, 3, 4, 0, 2, 4, 2, 3, 0, 4, 0, 3, 0, 0, 3, 0, 2, 2, 2, 2, 2, 3, 0, 4, 3, 3, 2, 2, 2, 0, 2, 4, 3, 4, 4, 4, 1, 3, 1, 1, 1, 0, 3, 1, 4, 4, 4, 3, 3, 1, 4, 2, 3, 0, 3, 1, 0, 0, 0, 1, 2, 0, 0, 4, 0, 4, 3, 2, 4, 4, 1, 1, 0, 2, 2, 2, 0, 4, 2, 0, 1, 4, 1, 2, 3, 1, 2, 4, 2, 1, 4, 4, 2, 4, 3, 3, 3, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 4, 1, 4, 4, 0, 4, 3, 0, 1, 4, 1, 2, 0, 4, 4, 0, 2, 3, 2, 0, 2, 3, 1, 0, 2, 4, 1, 3, 4, 1, 3, 2, 3, 4, 2, 4, 3, 1, 4, 4, 0, 0, 1, 1, 4, 1, 0, 0, 4, 2, 3, 2, 4, 1, 3, 0, 0, 2, 0, 4, 2, 3, 4, 2, 1, 0, 0, 4, 2, 4, 2, 1, 4, 2, 2, 0, 4, 4, 4, 4, 4, 1] pubkeycol660 = [0, 2, 4, 4, 0, 0, 3, 2, 3, 2, 4, 2, 1, 4, 1, 0, 2, 0, 1, 3, 3, 1, 4, 0, 2, 1, 0, 0, 4, 3, 0, 2, 1, 4, 1, 1, 3, 0, 3, 4, 1, 4, 3, 0, 4, 4, 4, 4, 0, 0, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 1, 1, 4, 1, 0, 0, 3, 1, 4, 4, 0, 3, 3, 3, 3, 1, 2, 2, 4, 1, 4, 2, 4, 0, 3, 4, 0, 4, 3, 2, 4, 0, 1, 0, 4, 0, 0, 0, 1, 0, 3, 1, 1, 2, 2, 3, 3, 3, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 3, 2, 0, 4, 2, 2, 2, 4, 1, 0, 2, 4, 0, 4, 0, 1, 3, 3, 0, 3, 2, 1, 1, 0, 1, 4, 3, 3, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 3, 3, 2, 4, 2, 4, 0, 2, 3, 4, 0, 4, 4, 4, 0, 1, 3, 3, 1, 0, 2, 0, 4, 0, 3, 1, 1, 3, 2, 2, 1, 0, 3, 4, 0, 2, 1, 0, 4, 2, 4, 3, 0, 1, 0, 0, 0, 1, 3, 2, 3, 3, 2, 2, 1, 4, 4, 0, 0, 2, 0, 2, 0, 2, 1, 0, 4, 0, 4, 1, 0, 0, 4, 3, 1, 2, 0, 4, 4, 3, 4, 1, 0, 0, 3, 0, 1, 3, 3, 4, 0, 4, 0, 2, 4, 1, 1, 2, 4, 3, 2, 2, 3, 2, 2, 2, 1, 1, 4, 3, 1, 4, 2, 4, 3, 2, 2, 0, 4, 3, 2, 4, 0, 4, 0, 3, 3, 3, 2, 1, 3, 2, 4, 2, 3, 3, 4, 2, 0, 4, 4, 2, 4, 4, 0, 1, 3, 4, 4, 0, 3, 3, 2, 3, 3, 4] pubkeycol661 = [2, 2, 0, 2, 0, 4, 1, 4, 4, 2, 2, 0, 2, 1, 2, 4, 0, 1, 1, 2, 1, 3, 0, 0, 0, 0, 2, 0, 0, 4, 3, 3, 3, 3, 4, 4, 0, 1, 1, 4, 4, 3, 0, 3, 3, 0, 0, 1, 2, 0, 2, 2, 4, 3, 1, 4, 0, 1, 0, 4, 2, 1, 3, 2, 2, 0, 4, 0, 0, 2, 0, 0, 2, 0, 3, 2, 2, 0, 3, 2, 4, 0, 0, 3, 3, 0, 4, 0, 1, 1, 4, 3, 2, 4, 0, 3, 3, 2, 0, 1, 0, 2, 0, 0, 4, 1, 3, 3, 4, 0, 4, 2, 4, 0, 3, 4, 1, 1, 0, 0, 0, 1, 3, 4, 2, 4, 4, 3, 1, 1, 3, 4, 4, 0, 4, 1, 0, 0, 4, 1, 1, 2, 0, 3, 0, 1, 4, 0, 2, 1, 2, 2, 1, 1, 3, 2, 1, 2, 2, 0, 2, 0, 2, 4, 1, 2, 1, 1, 0, 3, 0, 4, 0, 2, 1, 2, 1, 2, 3, 3, 3, 1, 4, 4, 4, 1, 2, 1, 1, 3, 3, 4, 3, 0, 1, 4, 3, 2, 2, 2, 2, 4, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 2, 4, 3, 3, 4, 3, 4, 0, 3, 0, 2, 3, 4, 0, 1, 2, 0, 2, 2, 3, 0, 1, 3, 2, 1, 2, 4, 2, 0, 0, 0, 3, 1, 4, 3, 3, 0, 4, 3, 4, 1, 3, 1, 0, 3, 4, 2, 4, 0, 1, 0, 4, 2, 2, 0, 0, 4, 4, 2, 4, 4, 2, 3, 0, 4, 3, 2, 1, 3, 1, 0, 4, 1, 4, 3, 3, 2, 0, 1, 3, 3, 4, 4, 1, 0, 4, 4, 1, 2, 1, 2, 2, 4, 0, 2, 2, 1, 3, 4, 0, 3, 4, 2, 4, 2, 2, 1, 2] pubkeycol662 = [3, 2, 1, 2, 4, 3, 0, 1, 1, 0, 3, 3, 1, 1, 4, 0, 0, 2, 0, 4, 4, 3, 4, 1, 0, 1, 1, 4, 2, 0, 3, 3, 1, 4, 0, 1, 4, 2, 3, 4, 0, 1, 3, 2, 3, 4, 0, 0, 1, 1, 0, 0, 0, 3, 3, 2, 4, 1, 4, 3, 1, 4, 1, 2, 2, 0, 3, 0, 0, 2, 2, 0, 0, 2, 1, 4, 3, 0, 1, 1, 2, 3, 3, 0, 3, 1, 4, 0, 3, 3, 0, 1, 4, 1, 0, 4, 4, 4, 2, 1, 2, 2, 2, 3, 4, 3, 2, 0, 3, 0, 0, 1, 1, 0, 0, 0, 4, 0, 2, 1, 3, 1, 4, 3, 4, 1, 4, 0, 0, 0, 1, 3, 1, 0, 2, 0, 2, 0, 0, 1, 3, 2, 0, 0, 0, 2, 2, 1, 1, 0, 3, 2, 2, 4, 3, 3, 3, 4, 4, 2, 0, 4, 3, 4, 3, 0, 1, 3, 0, 0, 2, 3, 0, 0, 1, 0, 1, 0, 3, 0, 4, 2, 1, 2, 0, 4, 3, 1, 1, 2, 2, 4, 1, 1, 2, 1, 4, 0, 3, 2, 3, 3, 0, 3, 0, 2, 0, 3, 1, 3, 0, 4, 1, 1, 3, 2, 1, 0, 0, 3, 1, 4, 1, 2, 2, 3, 1, 0, 1, 2, 2, 1, 4, 3, 0, 0, 3, 4, 0, 3, 1, 0, 3, 2, 4, 4, 2, 2, 1, 4, 2, 4, 1, 3, 0, 2, 2, 2, 1, 3, 0, 0, 4, 2, 3, 4, 0, 1, 3, 2, 4, 2, 2, 1, 1, 4, 4, 0, 2, 2, 4, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 3, 4, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 4, 0, 2, 1, 0, 0, 3, 3, 2, 1, 0, 4, 2, 3] pubkeycol663 = [0, 1, 2, 1, 3, 2, 4, 3, 2, 1, 1, 3, 1, 0, 0, 0, 3, 2, 2, 4, 4, 1, 0, 3, 2, 3, 2, 2, 4, 2, 0, 4, 1, 1, 3, 1, 2, 3, 0, 0, 3, 3, 4, 1, 2, 3, 2, 3, 2, 4, 4, 3, 4, 1, 4, 1, 3, 3, 0, 3, 1, 3, 0, 3, 4, 2, 3, 0, 4, 3, 3, 3, 2, 3, 4, 1, 0, 1, 3, 0, 4, 4, 4, 4, 3, 4, 2, 1, 4, 0, 2, 4, 4, 1, 4, 3, 1, 3, 1, 1, 4, 4, 3, 2, 0, 4, 1, 1, 1, 3, 2, 4, 2, 2, 1, 1, 3, 2, 0, 4, 1, 1, 4, 2, 1, 0, 4, 1, 3, 1, 4, 3, 1, 1, 2, 2, 0, 3, 4, 2, 3, 1, 0, 0, 0, 3, 4, 3, 1, 3, 4, 3, 2, 1, 4, 2, 2, 2, 1, 4, 4, 3, 2, 3, 3, 3, 1, 4, 2, 2, 0, 2, 4, 2, 2, 4, 2, 1, 3, 3, 2, 3, 4, 1, 3, 3, 2, 3, 2, 3, 1, 0, 4, 1, 4, 1, 2, 4, 4, 2, 2, 4, 1, 4, 0, 0, 3, 4, 1, 0, 0, 4, 4, 4, 1, 1, 0, 4, 2, 1, 4, 2, 1, 1, 2, 3, 4, 0, 3, 1, 0, 3, 1, 3, 3, 0, 2, 3, 4, 3, 4, 2, 0, 0, 0, 1, 1, 1, 4, 0, 0, 4, 4, 2, 0, 0, 4, 2, 4, 0, 1, 4, 3, 1, 4, 2, 0, 1, 1, 3, 2, 0, 4, 2, 3, 4, 3, 1, 0, 0, 2, 1, 4, 4, 0, 3, 3, 3, 1, 1, 2, 3, 4, 1, 1, 1, 1, 0, 3, 0, 4, 3, 1, 4, 2, 2, 0, 2, 0, 3, 3, 4, 3, 1, 1, 0, 1, 1, 0, 0] pubkeycol664 = [4, 1, 0, 2, 3, 4, 4, 4, 0, 2, 3, 4, 3, 4, 4, 4, 4, 3, 0, 4, 1, 1, 4, 2, 2, 2, 2, 4, 1, 4, 3, 2, 3, 0, 1, 0, 3, 2, 2, 1, 1, 4, 0, 4, 3, 4, 4, 2, 2, 3, 2, 4, 4, 4, 1, 1, 2, 4, 2, 0, 3, 1, 0, 3, 3, 2, 1, 2, 2, 0, 4, 4, 4, 0, 2, 1, 0, 4, 1, 3, 2, 1, 3, 2, 4, 2, 3, 1, 3, 1, 2, 3, 0, 4, 1, 0, 2, 1, 0, 2, 3, 3, 0, 0, 0, 1, 0, 3, 3, 2, 1, 1, 4, 0, 2, 2, 4, 4, 4, 2, 1, 4, 2, 3, 2, 2, 0, 4, 4, 0, 1, 0, 1, 3, 2, 4, 3, 1, 0, 3, 3, 2, 3, 3, 2, 2, 2, 3, 2, 0, 3, 1, 2, 3, 2, 2, 2, 3, 0, 0, 1, 0, 3, 3, 0, 2, 4, 0, 2, 4, 3, 2, 3, 1, 0, 1, 2, 3, 0, 0, 3, 3, 3, 1, 3, 4, 0, 2, 2, 4, 3, 0, 0, 3, 3, 0, 0, 1, 1, 4, 3, 0, 0, 0, 0, 1, 3, 3, 4, 3, 3, 0, 4, 3, 3, 0, 4, 4, 3, 1, 4, 2, 0, 1, 2, 2, 4, 2, 0, 3, 4, 1, 4, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 3, 3, 3, 2, 2, 2, 4, 2, 4, 1, 2, 3, 4, 0, 0, 1, 0, 4, 0, 3, 3, 1, 3, 2, 1, 1, 1, 3, 3, 2, 0, 2, 0, 1, 2, 1, 4, 2, 1, 3, 4, 4, 3, 4, 2, 2, 1, 0, 0, 4, 3, 2, 0, 4, 4, 1, 2, 1, 4, 0, 1, 2, 3, 2, 4, 1, 2, 3, 0, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol665 = [0, 4, 2, 4, 4, 3, 0, 0, 1, 1, 1, 4, 0, 2, 1, 3, 4, 4, 3, 4, 4, 0, 1, 4, 1, 1, 2, 0, 1, 3, 3, 2, 3, 3, 3, 4, 2, 4, 1, 3, 4, 2, 4, 4, 2, 1, 1, 4, 4, 3, 3, 4, 1, 2, 3, 3, 4, 0, 2, 2, 1, 3, 2, 3, 4, 2, 1, 3, 0, 2, 2, 1, 3, 2, 3, 1, 1, 1, 1, 2, 0, 3, 2, 2, 3, 1, 0, 0, 3, 2, 1, 4, 1, 0, 2, 4, 1, 1, 3, 2, 4, 1, 4, 1, 3, 3, 0, 2, 0, 2, 4, 3, 2, 4, 1, 2, 4, 1, 0, 3, 1, 2, 1, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 1, 4, 4, 2, 3, 1, 0, 2, 1, 4, 1, 2, 0, 3, 4, 2, 2, 3, 0, 0, 0, 0, 2, 0, 2, 3, 2, 1, 0, 3, 3, 3, 1, 1, 3, 4, 4, 3, 0, 3, 2, 1, 4, 1, 3, 4, 1, 3, 2, 2, 0, 0, 0, 1, 4, 4, 1, 3, 3, 0, 1, 2, 1, 0, 4, 2, 2, 4, 2, 1, 2, 0, 2, 3, 2, 0, 2, 1, 1, 3, 3, 3, 3, 0, 2, 1, 3, 0, 0, 3, 3, 1, 1, 2, 0, 3, 2, 4, 3, 1, 2, 0, 0, 0, 4, 1, 3, 2, 3, 4, 2, 1, 0, 2, 3, 3, 0, 0, 3, 2, 3, 2, 0, 0, 3, 4, 2, 3, 1, 4, 4, 3, 4, 4, 1, 1, 4, 1, 3, 1, 4, 2, 2, 3, 1, 3, 2, 2, 4, 3, 2, 2, 4, 2, 1, 4, 4, 1, 1, 3, 2, 0, 3, 1, 1, 3, 0, 2, 0, 1, 4, 2, 3, 0, 3, 0, 2, 3, 0, 3, 0, 1, 1, 0, 4, 0, 0] pubkeycol666 = [4, 2, 2, 4, 2, 2, 0, 2, 1, 3, 3, 4, 3, 3, 3, 1, 2, 3, 1, 1, 2, 2, 4, 2, 0, 2, 4, 1, 0, 3, 1, 3, 3, 3, 1, 1, 3, 1, 3, 0, 4, 3, 3, 2, 3, 0, 2, 2, 2, 3, 1, 3, 2, 4, 3, 3, 3, 3, 4, 1, 4, 2, 2, 0, 3, 1, 0, 4, 1, 0, 3, 3, 2, 2, 1, 2, 3, 0, 1, 0, 4, 3, 2, 1, 4, 0, 0, 1, 0, 4, 1, 1, 3, 3, 1, 1, 2, 1, 1, 2, 2, 4, 1, 0, 0, 0, 0, 3, 4, 3, 4, 3, 3, 2, 2, 1, 3, 4, 2, 1, 1, 4, 1, 0, 0, 0, 1, 2, 3, 0, 2, 1, 2, 1, 3, 2, 4, 3, 4, 2, 3, 0, 1, 3, 1, 2, 2, 4, 1, 3, 1, 1, 2, 2, 3, 0, 1, 0, 4, 0, 3, 0, 0, 1, 4, 0, 1, 0, 0, 4, 0, 0, 4, 1, 1, 2, 1, 1, 1, 1, 0, 3, 4, 0, 0, 1, 1, 0, 2, 4, 3, 4, 1, 1, 3, 2, 3, 3, 3, 4, 3, 4, 1, 2, 3, 4, 2, 3, 0, 0, 3, 1, 1, 3, 2, 2, 1, 0, 1, 1, 4, 4, 3, 3, 0, 0, 4, 4, 3, 0, 0, 1, 0, 1, 1, 3, 3, 0, 4, 3, 1, 1, 0, 4, 2, 1, 0, 4, 3, 0, 3, 4, 2, 0, 4, 4, 0, 2, 0, 1, 2, 3, 0, 2, 4, 0, 3, 1, 2, 0, 2, 2, 0, 4, 4, 2, 1, 4, 3, 3, 0, 1, 3, 3, 1, 4, 3, 4, 4, 1, 1, 0, 3, 3, 2, 0, 0, 0, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 0, 2, 3, 2, 4, 1, 4, 2, 2, 2, 3, 2] pubkeycol667 = [2, 4, 2, 2, 0, 1, 0, 0, 0, 3, 2, 4, 3, 0, 1, 2, 2, 0, 0, 4, 2, 1, 0, 3, 4, 3, 2, 3, 0, 0, 0, 2, 3, 1, 0, 1, 3, 0, 4, 0, 1, 3, 4, 0, 2, 3, 1, 4, 2, 0, 0, 1, 0, 1, 0, 0, 2, 4, 1, 4, 3, 1, 0, 3, 3, 0, 4, 3, 0, 3, 0, 3, 4, 3, 3, 0, 3, 1, 0, 2, 1, 2, 3, 1, 1, 4, 2, 3, 3, 3, 0, 3, 0, 4, 2, 4, 1, 0, 1, 3, 4, 3, 1, 2, 0, 3, 3, 4, 1, 2, 1, 2, 4, 1, 1, 3, 2, 1, 0, 2, 0, 2, 1, 3, 0, 3, 0, 2, 0, 3, 0, 4, 4, 3, 2, 2, 0, 0, 4, 3, 0, 0, 2, 4, 2, 0, 0, 4, 1, 2, 4, 2, 0, 3, 4, 3, 4, 3, 2, 4, 4, 0, 1, 4, 3, 0, 4, 2, 1, 4, 2, 1, 0, 4, 2, 4, 1, 2, 1, 4, 0, 2, 1, 2, 4, 2, 4, 2, 1, 1, 4, 4, 1, 4, 1, 3, 0, 1, 0, 2, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 4, 0, 0, 3, 4, 2, 1, 4, 3, 3, 1, 0, 3, 4, 2, 1, 1, 1, 0, 0, 3, 1, 2, 3, 1, 3, 1, 0, 2, 3, 1, 3, 0, 4, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 3, 1, 1, 2, 4, 0, 1, 2, 3, 4, 2, 0, 3, 4, 1, 4, 1, 2, 4, 4, 0, 0, 1, 2, 2, 3, 2, 1, 2, 0, 0, 2, 0, 4, 4, 1, 3, 2, 1, 1, 1, 0, 2, 1, 0, 2, 3, 4, 4, 4, 2, 1, 4, 3, 2, 3, 1, 4, 0, 1, 4, 3] pubkeycol668 = [3, 2, 2, 0, 3, 3, 1, 2, 1, 1, 3, 0, 3, 2, 2, 3, 1, 3, 1, 1, 4, 0, 0, 2, 0, 0, 1, 3, 2, 3, 3, 0, 1, 2, 3, 0, 0, 4, 0, 4, 0, 2, 0, 3, 0, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 0, 1, 3, 4, 4, 2, 4, 0, 2, 2, 2, 0, 2, 0, 3, 1, 4, 1, 4, 2, 2, 3, 0, 4, 0, 4, 1, 3, 2, 2, 4, 3, 2, 2, 1, 2, 2, 1, 3, 0, 0, 0, 2, 0, 1, 3, 4, 4, 1, 4, 4, 4, 1, 3, 4, 3, 4, 0, 2, 4, 3, 1, 3, 0, 0, 0, 4, 1, 3, 2, 2, 1, 1, 1, 4, 2, 1, 2, 2, 4, 2, 1, 0, 0, 3, 1, 0, 1, 0, 3, 3, 0, 3, 4, 4, 4, 0, 4, 1, 1, 1, 2, 1, 2, 1, 4, 4, 2, 4, 4, 2, 4, 1, 1, 0, 1, 0, 1, 4, 2, 0, 0, 0, 3, 0, 4, 3, 1, 0, 4, 4, 2, 1, 2, 1, 4, 2, 2, 1, 0, 0, 3, 0, 1, 3, 0, 0, 3, 0, 4, 1, 3, 1, 2, 0, 2, 2, 4, 2, 4, 1, 3, 2, 2, 3, 2, 0, 0, 1, 0, 0, 4, 0, 1, 1, 3, 0, 1, 2, 0, 3, 1, 0, 1, 2, 1, 4, 2, 2, 3, 2, 4, 3, 0, 3, 4, 4, 0, 4, 3, 2, 3, 4, 2, 2, 1, 3, 3, 0, 4, 0, 4, 1, 4, 0, 3, 4, 4, 4, 3, 2, 4, 2, 0, 4, 4, 3, 2, 3, 3, 3, 1, 4, 1, 0, 2, 0, 2, 3, 3, 2, 1, 4, 4, 0, 1, 1, 1, 3, 2, 2, 1, 3, 3, 3, 0, 0, 2, 0, 4, 0, 4, 1] pubkeycol669 = [2, 1, 3, 4, 2, 1, 0, 3, 1, 3, 3, 2, 4, 3, 0, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 1, 1, 4, 4, 2, 4, 1, 1, 3, 3, 0, 4, 4, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 0, 4, 2, 3, 0, 1, 1, 1, 1, 4, 2, 0, 4, 0, 3, 3, 1, 2, 4, 3, 2, 2, 0, 2, 2, 0, 4, 3, 1, 2, 0, 1, 1, 0, 3, 2, 1, 3, 2, 3, 0, 1, 2, 2, 1, 4, 3, 3, 2, 0, 4, 2, 3, 1, 3, 0, 4, 1, 0, 3, 0, 4, 1, 2, 3, 1, 3, 2, 3, 1, 3, 2, 1, 2, 4, 4, 3, 0, 0, 1, 0, 1, 0, 4, 0, 1, 2, 2, 0, 3, 3, 1, 0, 2, 0, 4, 4, 3, 3, 1, 0, 3, 4, 4, 0, 4, 4, 2, 2, 1, 4, 3, 4, 3, 2, 4, 2, 2, 3, 1, 2, 4, 0, 1, 2, 2, 2, 0, 1, 4, 0, 4, 3, 0, 0, 3, 1, 4, 2, 3, 1, 4, 2, 3, 4, 3, 2, 0, 0, 2, 4, 1, 2, 3, 0, 0, 4, 2, 1, 2, 4, 2, 1, 1, 4, 1, 2, 2, 3, 2, 1, 2, 0, 3, 0, 4, 3, 4, 2, 4, 0, 0, 1, 1, 3, 3, 2, 2, 2, 0, 3, 3, 2, 0, 2, 0, 4, 3, 3, 3, 0, 1, 0, 3, 4, 2, 2, 1, 4, 0, 4, 1, 0, 4, 1, 3, 3, 3, 1, 2, 0, 3, 3, 1, 0, 1, 2, 1, 4, 3, 3, 1, 4, 3, 4, 2, 0, 2, 4, 1, 0, 3, 3, 3, 1, 2, 0, 4, 0, 3, 1, 3, 4, 0, 4, 1, 0, 0, 3, 1, 1, 3, 4, 3, 2, 1, 4, 3, 2, 0, 1, 0] pubkeycol670 = [2, 3, 2, 3, 0, 2, 4, 2, 0, 4, 2, 3, 3, 1, 2, 0, 3, 1, 1, 1, 0, 4, 0, 1, 0, 3, 0, 0, 3, 2, 4, 4, 3, 0, 0, 3, 3, 2, 0, 2, 0, 0, 3, 1, 1, 4, 4, 3, 2, 4, 1, 3, 2, 0, 3, 1, 1, 4, 4, 4, 0, 2, 3, 4, 1, 3, 0, 3, 4, 2, 0, 2, 3, 0, 1, 3, 0, 2, 2, 1, 0, 0, 1, 4, 1, 4, 4, 1, 2, 4, 0, 1, 0, 0, 0, 3, 4, 1, 3, 3, 2, 1, 0, 1, 1, 2, 4, 0, 3, 0, 0, 2, 1, 3, 3, 1, 1, 2, 1, 0, 4, 2, 3, 3, 1, 3, 0, 3, 2, 4, 0, 4, 4, 3, 4, 4, 1, 1, 0, 1, 0, 4, 2, 2, 1, 0, 0, 1, 3, 4, 3, 1, 4, 0, 0, 0, 1, 3, 0, 4, 4, 0, 4, 0, 1, 0, 0, 0, 2, 4, 2, 3, 2, 3, 3, 4, 1, 1, 2, 2, 0, 0, 4, 0, 1, 2, 3, 0, 3, 1, 0, 1, 1, 3, 3, 2, 2, 0, 2, 4, 2, 2, 2, 0, 1, 0, 1, 3, 1, 4, 3, 1, 3, 4, 0, 4, 2, 3, 3, 0, 0, 2, 4, 3, 2, 3, 4, 1, 0, 0, 3, 3, 4, 0, 3, 4, 1, 2, 1, 0, 4, 4, 4, 1, 1, 0, 4, 3, 4, 0, 2, 1, 4, 1, 1, 2, 4, 2, 1, 4, 1, 2, 2, 0, 0, 4, 3, 2, 0, 2, 3, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 4, 2, 0, 4, 3, 2, 3, 4, 1, 0, 4, 2, 0, 3, 1, 3, 2, 3, 0, 0, 3, 3, 1, 4, 1, 2, 2, 0, 4, 1, 4, 3, 1, 0, 3, 4] pubkeycol671 = [4, 3, 3, 3, 0, 1, 4, 0, 2, 3, 0, 0, 1, 1, 0, 2, 0, 0, 3, 0, 2, 3, 0, 4, 4, 4, 4, 1, 4, 3, 3, 0, 2, 2, 2, 3, 4, 3, 1, 4, 2, 2, 4, 3, 3, 2, 3, 4, 3, 4, 3, 4, 4, 1, 0, 1, 3, 3, 2, 2, 0, 4, 2, 3, 0, 0, 0, 4, 3, 1, 3, 1, 3, 1, 0, 1, 2, 4, 1, 3, 0, 0, 4, 1, 4, 3, 0, 4, 2, 2, 1, 3, 2, 4, 2, 1, 0, 4, 3, 0, 3, 4, 4, 1, 0, 2, 4, 4, 2, 1, 4, 4, 4, 1, 3, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 4, 3, 3, 1, 0, 4, 1, 0, 1, 3, 3, 0, 4, 4, 1, 0, 0, 2, 2, 2, 4, 2, 0, 0, 4, 2, 2, 4, 1, 4, 3, 1, 1, 0, 3, 3, 3, 2, 4, 1, 1, 3, 4, 3, 3, 2, 2, 2, 0, 3, 3, 1, 4, 1, 3, 2, 3, 3, 3, 4, 3, 4, 2, 4, 2, 1, 0, 1, 1, 2, 0, 2, 3, 3, 1, 3, 0, 0, 4, 4, 0, 3, 4, 2, 2, 2, 1, 4, 2, 4, 2, 1, 3, 1, 0, 2, 1, 3, 2, 3, 2, 0, 3, 2, 3, 1, 1, 2, 2, 4, 4, 2, 0, 3, 2, 0, 3, 2, 0, 0, 2, 3, 3, 2, 3, 2, 1, 4, 1, 0, 0, 0, 2, 3, 0, 2, 3, 3, 0, 1, 3, 1, 1, 3, 4, 4, 4, 1, 1, 2, 3, 2, 2, 2, 0, 2, 1, 0, 1, 4, 4, 4, 4, 1, 4, 0, 1, 4, 0, 0, 3, 1, 3, 2, 4, 1, 2, 1, 3, 3, 2, 4, 4, 2, 3, 1, 2, 0, 4, 2, 1, 3, 3] pubkeycol672 = [4, 2, 2, 4, 3, 2, 4, 0, 1, 3, 4, 1, 3, 2, 1, 4, 2, 3, 3, 3, 2, 2, 0, 3, 0, 1, 1, 0, 2, 0, 1, 3, 0, 4, 3, 3, 3, 3, 0, 3, 1, 0, 0, 2, 4, 1, 2, 2, 1, 2, 3, 2, 0, 1, 1, 4, 2, 3, 4, 1, 4, 0, 2, 2, 1, 2, 2, 4, 0, 1, 2, 0, 0, 1, 1, 2, 1, 3, 1, 0, 4, 4, 1, 0, 0, 1, 3, 1, 0, 3, 0, 1, 1, 2, 2, 2, 2, 4, 1, 1, 1, 0, 4, 4, 4, 3, 1, 0, 1, 0, 4, 3, 1, 3, 1, 4, 3, 2, 1, 3, 4, 4, 0, 3, 4, 1, 1, 0, 4, 4, 0, 0, 0, 2, 4, 2, 1, 2, 1, 3, 3, 4, 4, 1, 0, 4, 2, 4, 2, 0, 3, 0, 0, 1, 3, 2, 0, 0, 2, 1, 0, 2, 3, 3, 1, 0, 3, 0, 2, 2, 3, 4, 0, 4, 0, 0, 3, 0, 3, 4, 2, 0, 4, 4, 3, 0, 2, 0, 3, 0, 1, 4, 2, 1, 4, 1, 0, 2, 4, 0, 1, 2, 2, 0, 0, 0, 4, 2, 0, 3, 3, 3, 0, 1, 4, 2, 4, 4, 0, 1, 3, 0, 3, 4, 4, 2, 0, 0, 0, 2, 2, 2, 1, 1, 4, 3, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 4, 3, 4, 0, 4, 2, 2, 2, 3, 2, 4, 2, 1, 2, 2, 3, 0, 4, 0, 4, 0, 1, 1, 4, 1, 1, 1, 3, 1, 4, 1, 3, 1, 1, 3, 4, 3, 0, 0, 0, 3, 2, 0, 0, 0, 3, 0, 2, 0, 0, 2, 1, 1, 3, 0, 3, 1, 1, 2, 3, 3, 4, 0, 3, 4, 4, 4, 2, 2, 2, 4, 3, 2, 3] pubkeycol673 = [0, 0, 2, 2, 4, 4, 1, 1, 3, 2, 0, 2, 3, 1, 3, 2, 4, 2, 2, 1, 3, 1, 0, 0, 1, 2, 2, 2, 4, 2, 2, 3, 4, 4, 1, 2, 0, 0, 2, 2, 2, 1, 0, 3, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 4, 2, 3, 0, 0, 1, 1, 2, 4, 2, 2, 0, 2, 0, 2, 4, 4, 0, 2, 2, 1, 2, 4, 3, 4, 0, 4, 4, 0, 0, 3, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 0, 1, 0, 4, 1, 2, 3, 2, 0, 4, 2, 3, 2, 0, 3, 0, 3, 3, 0, 0, 1, 1, 2, 4, 2, 4, 3, 0, 3, 3, 4, 1, 1, 4, 2, 4, 1, 2, 2, 3, 4, 4, 2, 0, 2, 2, 2, 3, 2, 0, 3, 2, 4, 3, 1, 2, 0, 0, 1, 3, 1, 2, 3, 3, 3, 4, 4, 0, 2, 3, 2, 4, 0, 2, 2, 4, 1, 2, 3, 1, 3, 2, 1, 0, 3, 0, 4, 3, 2, 4, 1, 3, 4, 4, 1, 4, 3, 2, 0, 3, 3, 1, 1, 1, 2, 3, 3, 4, 0, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 4, 1, 0, 1, 3, 0, 2, 0, 0, 1, 0, 3, 1, 2, 1, 0, 2, 4, 1, 4, 0, 0, 4, 0, 3, 1, 3, 0, 3, 1, 4, 1, 0, 4, 4, 1, 0, 4, 1, 4, 3, 3, 1, 4, 0, 1, 4, 4, 0, 1, 2, 2, 1, 4, 3, 1, 0, 0, 4, 4, 1, 2, 3, 2, 4, 2, 0, 0, 3, 2, 2, 3, 4, 1, 0, 0, 3, 1, 0, 3, 0, 2, 0, 2, 2, 3, 1, 3, 4, 2, 3, 3, 0, 3, 0, 4, 0, 2, 3, 2, 4, 3, 2, 4, 3, 4] pubkeycol674 = [4, 3, 3, 3, 1, 0, 4, 0, 0, 3, 4, 0, 1, 2, 2, 2, 1, 0, 4, 2, 1, 3, 1, 0, 0, 4, 0, 2, 1, 4, 1, 0, 1, 0, 0, 4, 4, 4, 0, 3, 1, 2, 0, 3, 0, 2, 1, 1, 1, 4, 4, 1, 4, 4, 4, 3, 4, 1, 4, 0, 3, 2, 4, 1, 2, 3, 4, 3, 1, 3, 4, 4, 3, 4, 1, 0, 1, 1, 2, 0, 3, 0, 4, 2, 3, 0, 4, 1, 4, 2, 4, 1, 1, 1, 1, 0, 4, 4, 4, 1, 3, 3, 1, 0, 0, 3, 4, 2, 3, 1, 2, 2, 2, 1, 0, 3, 4, 2, 1, 2, 4, 3, 2, 4, 0, 0, 4, 0, 4, 0, 2, 3, 3, 0, 2, 1, 0, 3, 3, 0, 3, 3, 1, 4, 3, 2, 4, 3, 0, 4, 2, 0, 4, 0, 3, 3, 1, 1, 1, 4, 4, 4, 3, 4, 4, 4, 2, 3, 1, 1, 1, 3, 3, 4, 2, 4, 2, 0, 2, 4, 3, 4, 1, 0, 2, 3, 1, 3, 4, 4, 3, 2, 0, 4, 2, 4, 0, 1, 4, 2, 3, 1, 1, 1, 3, 2, 0, 2, 0, 4, 0, 2, 0, 4, 0, 4, 3, 2, 2, 4, 0, 4, 3, 2, 4, 3, 2, 2, 0, 3, 4, 2, 0, 4, 4, 0, 2, 0, 0, 0, 3, 0, 4, 1, 1, 2, 3, 4, 0, 0, 2, 3, 1, 3, 0, 4, 4, 4, 0, 4, 2, 1, 3, 0, 1, 0, 1, 3, 3, 2, 0, 3, 4, 0, 0, 0, 4, 0, 3, 4, 0, 4, 1, 3, 4, 3, 0, 0, 0, 1, 0, 1, 4, 2, 0, 0, 1, 2, 1, 3, 2, 4, 3, 3, 4, 4, 3, 3, 0, 3, 2, 2, 1, 1, 0, 0, 0, 4, 3, 2] pubkeycol675 = [3, 4, 3, 1, 0, 4, 4, 4, 1, 2, 3, 1, 1, 4, 1, 1, 3, 3, 0, 0, 0, 4, 2, 2, 4, 3, 3, 1, 3, 1, 2, 0, 4, 0, 4, 2, 2, 0, 3, 2, 2, 2, 1, 0, 1, 4, 3, 2, 3, 2, 3, 2, 3, 2, 0, 0, 2, 0, 0, 1, 0, 4, 4, 1, 1, 0, 2, 3, 4, 0, 1, 1, 3, 4, 2, 3, 3, 3, 0, 1, 3, 4, 4, 4, 1, 3, 3, 3, 2, 0, 3, 3, 0, 2, 4, 4, 0, 2, 2, 2, 4, 3, 3, 3, 4, 1, 4, 2, 4, 4, 0, 2, 3, 1, 2, 3, 3, 2, 2, 1, 1, 4, 1, 4, 3, 1, 3, 0, 1, 3, 2, 0, 1, 2, 2, 0, 1, 2, 2, 4, 3, 3, 4, 0, 2, 4, 1, 4, 1, 4, 1, 1, 3, 4, 4, 4, 1, 0, 4, 2, 4, 1, 0, 3, 0, 0, 4, 0, 1, 0, 3, 4, 1, 3, 0, 4, 1, 3, 3, 0, 2, 2, 3, 2, 0, 4, 4, 1, 0, 1, 1, 2, 3, 0, 2, 0, 0, 3, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 0, 3, 2, 2, 2, 3, 0, 4, 2, 2, 2, 0, 3, 3, 0, 2, 3, 4, 1, 0, 2, 2, 1, 3, 2, 0, 0, 2, 4, 3, 1, 0, 4, 1, 3, 4, 1, 1, 2, 1, 2, 3, 4, 1, 1, 0, 4, 1, 2, 0, 1, 3, 4, 2, 3, 2, 2, 1, 1, 1, 2, 0, 1, 3, 0, 1, 1, 2, 0, 4, 0, 3, 0, 3, 4, 4, 0, 3, 4, 3, 0, 4, 1, 2, 2, 2, 1, 2, 1, 1, 3, 2, 1, 2, 4, 4, 0, 1, 3, 0, 0, 4, 0, 2, 4, 3, 4, 1, 1, 4, 4, 2] pubkeycol676 = [4, 2, 4, 1, 4, 2, 3, 4, 2, 4, 0, 2, 3, 4, 2, 3, 0, 0, 2, 0, 2, 3, 3, 0, 3, 4, 0, 0, 2, 3, 3, 2, 2, 2, 0, 3, 1, 4, 3, 4, 0, 4, 1, 4, 3, 3, 1, 2, 3, 2, 1, 4, 2, 4, 4, 1, 1, 0, 4, 3, 1, 0, 0, 0, 4, 3, 1, 2, 0, 3, 4, 0, 0, 4, 2, 3, 2, 1, 2, 0, 3, 2, 3, 1, 4, 2, 3, 4, 4, 2, 3, 0, 1, 4, 3, 4, 1, 1, 4, 0, 3, 0, 4, 4, 3, 1, 4, 1, 4, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 3, 3, 3, 3, 4, 0, 2, 3, 0, 2, 4, 0, 1, 4, 4, 2, 4, 0, 3, 1, 0, 3, 3, 3, 0, 2, 4, 0, 1, 2, 4, 1, 2, 0, 3, 0, 3, 2, 1, 3, 1, 4, 2, 4, 1, 0, 3, 1, 0, 0, 2, 4, 0, 4, 3, 3, 3, 0, 4, 2, 3, 4, 2, 0, 3, 2, 2, 0, 4, 1, 0, 3, 0, 1, 4, 4, 1, 0, 3, 3, 0, 3, 1, 2, 1, 1, 2, 0, 4, 1, 2, 0, 4, 1, 2, 0, 4, 3, 2, 4, 3, 4, 2, 3, 2, 3, 0, 0, 0, 4, 1, 4, 1, 4, 4, 3, 1, 1, 0, 0, 2, 1, 3, 1, 2, 3, 1, 0, 0, 1, 3, 3, 0, 0, 3, 2, 4, 3, 2, 2, 3, 3, 0, 1, 3, 4, 1, 1, 2, 3, 2, 3, 0, 1, 1, 0, 4, 2, 1, 2, 3, 0, 0, 4, 3, 0, 2, 0, 1, 4, 0, 4, 4, 1, 2, 0, 2, 0, 2, 4, 0, 2, 2, 3, 2, 3, 3, 3, 0, 4, 2, 2, 0, 4, 4, 0, 2, 3] pubkeycol677 = [0, 3, 3, 1, 0, 4, 1, 0, 0, 4, 1, 0, 3, 4, 2, 4, 3, 1, 3, 0, 3, 2, 0, 2, 3, 0, 1, 0, 1, 0, 2, 3, 1, 4, 1, 4, 1, 2, 3, 0, 4, 0, 4, 1, 1, 4, 4, 4, 2, 1, 2, 2, 0, 2, 3, 1, 1, 2, 1, 3, 1, 3, 0, 3, 3, 3, 2, 4, 1, 3, 3, 1, 0, 4, 4, 0, 4, 3, 0, 0, 0, 3, 0, 1, 3, 3, 2, 2, 3, 0, 1, 1, 4, 4, 4, 2, 3, 0, 4, 0, 1, 0, 1, 2, 1, 4, 3, 2, 3, 3, 4, 0, 4, 0, 4, 2, 3, 3, 0, 4, 2, 3, 4, 3, 3, 0, 2, 4, 1, 3, 2, 1, 4, 2, 3, 3, 1, 1, 2, 4, 4, 1, 3, 3, 4, 0, 4, 1, 3, 0, 0, 4, 4, 3, 0, 1, 1, 2, 0, 4, 0, 1, 1, 1, 0, 4, 1, 1, 2, 1, 4, 2, 4, 2, 0, 4, 1, 0, 3, 4, 3, 2, 4, 3, 1, 0, 2, 3, 4, 3, 0, 3, 1, 1, 1, 4, 0, 1, 0, 0, 0, 4, 0, 2, 1, 3, 0, 1, 1, 0, 3, 0, 3, 0, 4, 0, 2, 4, 1, 2, 2, 0, 2, 3, 0, 4, 3, 4, 0, 3, 1, 0, 1, 3, 0, 1, 3, 1, 4, 3, 1, 4, 2, 1, 3, 1, 2, 1, 3, 1, 2, 4, 2, 1, 3, 1, 1, 2, 3, 0, 3, 0, 4, 3, 3, 0, 3, 3, 1, 1, 0, 1, 0, 4, 2, 3, 1, 1, 2, 2, 4, 1, 0, 3, 0, 1, 3, 3, 3, 3, 0, 0, 3, 1, 2, 3, 3, 2, 4, 4, 3, 3, 3, 1, 4, 3, 3, 1, 1, 3, 1, 0, 0, 2, 1, 0, 2, 3, 4, 3] pubkeycol678 = [1, 3, 1, 3, 1, 2, 0, 4, 4, 3, 2, 4, 3, 3, 1, 1, 3, 1, 4, 1, 2, 0, 0, 4, 3, 4, 2, 2, 2, 1, 2, 3, 0, 4, 2, 3, 1, 0, 0, 2, 1, 1, 3, 4, 0, 4, 1, 3, 3, 4, 3, 4, 0, 4, 1, 3, 1, 3, 4, 3, 2, 3, 1, 2, 0, 0, 4, 2, 3, 0, 3, 0, 2, 3, 3, 0, 0, 2, 2, 3, 0, 2, 2, 2, 2, 3, 2, 4, 3, 1, 2, 2, 4, 0, 0, 4, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 3, 2, 2, 3, 0, 2, 0, 0, 4, 4, 2, 1, 2, 2, 3, 1, 3, 4, 4, 0, 0, 3, 1, 3, 2, 2, 1, 0, 3, 2, 3, 3, 3, 0, 2, 0, 2, 4, 1, 2, 2, 3, 4, 0, 3, 1, 1, 1, 1, 3, 1, 2, 1, 3, 3, 4, 1, 0, 3, 2, 0, 3, 4, 4, 1, 0, 3, 4, 4, 2, 0, 2, 4, 1, 0, 0, 0, 2, 2, 3, 3, 0, 4, 0, 3, 1, 0, 2, 0, 0, 2, 2, 1, 3, 0, 1, 0, 0, 1, 0, 4, 2, 1, 1, 2, 0, 4, 3, 4, 1, 1, 4, 2, 1, 4, 0, 1, 3, 3, 4, 3, 1, 3, 4, 0, 2, 4, 2, 0, 1, 1, 2, 1, 3, 4, 2, 4, 3, 1, 2, 3, 1, 1, 3, 4, 1, 2, 0, 3, 0, 2, 1, 3, 0, 0, 0, 1, 3, 0, 3, 4, 4, 2, 0, 4, 0, 4, 4, 2, 4, 2, 2, 3, 2, 1, 4, 2, 3, 1, 1, 2, 1, 3, 4, 2, 2, 1, 3, 2, 0, 3, 1, 3, 4, 2, 4, 3, 3, 4, 2, 0, 3, 2, 0, 0, 3, 1, 3, 3, 0, 1, 3] pubkeycol679 = [2, 0, 1, 1, 0, 2, 0, 3, 0, 3, 4, 4, 2, 3, 3, 4, 0, 2, 1, 1, 1, 3, 1, 2, 2, 3, 3, 4, 4, 1, 1, 1, 0, 3, 0, 3, 2, 2, 0, 1, 1, 0, 4, 1, 2, 0, 1, 0, 0, 2, 2, 3, 3, 0, 1, 1, 3, 1, 3, 3, 3, 2, 0, 1, 0, 2, 1, 4, 2, 0, 0, 1, 2, 3, 0, 3, 3, 0, 3, 1, 2, 0, 4, 1, 1, 2, 2, 3, 2, 4, 3, 2, 2, 0, 0, 2, 2, 0, 4, 0, 2, 3, 4, 3, 0, 0, 4, 4, 2, 1, 2, 1, 2, 4, 3, 3, 3, 4, 2, 1, 4, 0, 1, 2, 0, 0, 4, 3, 4, 4, 3, 0, 0, 4, 2, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 3, 3, 3, 1, 0, 4, 0, 1, 1, 4, 2, 1, 3, 0, 1, 1, 2, 3, 4, 3, 3, 2, 3, 2, 0, 3, 1, 2, 1, 2, 3, 4, 2, 3, 0, 3, 4, 1, 4, 0, 1, 4, 2, 3, 0, 1, 2, 3, 2, 1, 1, 0, 4, 1, 4, 0, 3, 4, 4, 3, 1, 0, 2, 1, 4, 4, 1, 1, 3, 3, 4, 4, 0, 1, 1, 1, 2, 0, 2, 3, 0, 2, 0, 3, 4, 1, 4, 3, 3, 1, 4, 2, 0, 1, 4, 3, 3, 2, 4, 3, 1, 0, 2, 4, 2, 3, 2, 0, 2, 0, 0, 3, 0, 0, 2, 0, 2, 4, 1, 4, 4, 1, 1, 0, 3, 1, 0, 0, 0, 4, 4, 4, 0, 3, 0, 3, 4, 2, 1, 4, 2, 3, 1, 1, 0, 2, 4, 2, 4, 2, 3, 1, 4, 0, 2, 0, 0, 4, 1, 3, 2, 1, 4, 1, 2, 0, 1, 3, 0, 2, 3, 3, 2, 0, 3] pubkeycol680 = [2, 3, 3, 0, 2, 3, 0, 2, 0, 4, 1, 1, 0, 1, 4, 2, 4, 3, 4, 2, 0, 2, 0, 0, 3, 3, 2, 0, 4, 4, 1, 0, 1, 4, 2, 4, 1, 0, 0, 1, 4, 4, 1, 1, 0, 0, 2, 3, 4, 2, 1, 0, 3, 3, 2, 0, 0, 4, 0, 1, 2, 3, 3, 2, 4, 3, 4, 2, 3, 3, 1, 2, 3, 1, 1, 0, 3, 4, 4, 0, 3, 2, 4, 2, 4, 4, 0, 0, 0, 4, 0, 3, 3, 0, 3, 2, 2, 4, 2, 1, 2, 3, 0, 3, 4, 0, 1, 2, 3, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 4, 1, 0, 4, 0, 2, 0, 4, 3, 2, 4, 4, 3, 0, 0, 2, 2, 3, 1, 0, 4, 4, 1, 3, 1, 0, 2, 3, 3, 1, 1, 1, 2, 2, 1, 4, 3, 4, 2, 2, 0, 1, 4, 3, 0, 3, 2, 3, 3, 1, 3, 0, 4, 1, 0, 3, 4, 2, 0, 0, 0, 4, 0, 0, 2, 0, 2, 0, 4, 2, 2, 3, 2, 1, 2, 1, 3, 0, 4, 3, 1, 4, 0, 4, 1, 4, 3, 3, 0, 3, 2, 4, 3, 2, 1, 2, 2, 4, 1, 2, 0, 4, 2, 3, 2, 2, 3, 2, 1, 3, 3, 3, 1, 3, 3, 0, 4, 1, 4, 2, 4, 3, 1, 2, 2, 2, 0, 2, 4, 3, 3, 0, 4, 2, 1, 0, 3, 1, 4, 1, 1, 4, 2, 4, 1, 2, 1, 0, 2, 4, 0, 1, 1, 0, 3, 4, 4, 4, 0, 3, 2, 0, 3, 2, 0, 2, 1, 3, 2, 2, 0, 2, 4, 1, 4, 3, 0, 3, 4, 3, 0, 0, 0, 1, 1, 2, 1, 2, 0, 3, 1, 0, 3, 4, 4, 3, 0, 0, 0, 3] pubkeycol681 = [4, 4, 1, 2, 0, 2, 4, 0, 1, 1, 1, 3, 0, 4, 0, 2, 1, 4, 0, 0, 2, 0, 4, 3, 3, 0, 4, 3, 4, 0, 4, 0, 4, 3, 1, 1, 0, 2, 1, 2, 4, 4, 1, 3, 3, 0, 3, 3, 0, 0, 4, 3, 4, 4, 2, 0, 0, 0, 3, 0, 4, 1, 2, 0, 1, 2, 2, 1, 3, 2, 1, 1, 0, 3, 2, 0, 4, 0, 3, 3, 3, 3, 1, 1, 3, 4, 4, 1, 1, 3, 3, 4, 1, 4, 0, 4, 1, 1, 2, 4, 1, 1, 4, 4, 2, 3, 0, 4, 1, 2, 3, 2, 3, 2, 3, 0, 4, 1, 1, 1, 3, 2, 4, 2, 3, 2, 2, 1, 1, 1, 4, 4, 2, 4, 1, 4, 4, 0, 0, 1, 1, 3, 0, 2, 0, 1, 0, 3, 2, 0, 2, 3, 0, 4, 2, 4, 3, 0, 0, 0, 4, 0, 0, 4, 2, 2, 3, 2, 2, 0, 0, 4, 0, 2, 0, 1, 2, 1, 1, 2, 4, 2, 0, 1, 2, 4, 2, 4, 4, 0, 2, 0, 4, 3, 3, 1, 1, 4, 2, 4, 1, 1, 1, 0, 4, 2, 0, 3, 4, 3, 1, 3, 4, 4, 1, 4, 3, 4, 3, 2, 1, 0, 0, 1, 0, 2, 1, 0, 4, 1, 2, 2, 4, 2, 0, 0, 4, 2, 2, 1, 0, 4, 3, 4, 4, 3, 2, 0, 4, 1, 3, 4, 0, 2, 4, 1, 4, 3, 4, 2, 1, 4, 1, 1, 4, 4, 3, 1, 4, 3, 1, 0, 4, 0, 2, 0, 2, 3, 1, 1, 0, 3, 2, 1, 4, 0, 1, 1, 3, 2, 0, 2, 3, 1, 3, 4, 2, 0, 2, 4, 0, 2, 1, 3, 1, 4, 2, 0, 4, 2, 4, 4, 1, 1, 1, 1, 2, 4, 3, 3] pubkeycol682 = [1, 0, 3, 0, 2, 0, 0, 4, 0, 4, 1, 1, 2, 1, 2, 3, 0, 3, 2, 1, 3, 3, 1, 0, 0, 3, 0, 4, 3, 2, 4, 0, 4, 1, 1, 4, 3, 0, 3, 2, 0, 2, 2, 2, 1, 4, 1, 4, 3, 3, 1, 3, 0, 1, 4, 2, 1, 3, 2, 4, 4, 1, 2, 4, 4, 0, 4, 1, 4, 4, 0, 2, 0, 0, 1, 3, 0, 1, 1, 3, 0, 1, 0, 3, 4, 2, 1, 1, 3, 4, 2, 0, 3, 3, 4, 3, 1, 1, 1, 3, 0, 2, 3, 0, 1, 0, 1, 3, 2, 0, 4, 3, 3, 4, 4, 3, 0, 2, 1, 0, 4, 2, 0, 0, 3, 0, 0, 0, 2, 1, 0, 0, 3, 3, 1, 4, 3, 2, 2, 2, 2, 0, 2, 0, 4, 2, 3, 1, 2, 3, 0, 0, 3, 3, 0, 4, 3, 4, 1, 3, 1, 4, 2, 2, 2, 4, 2, 0, 3, 3, 4, 1, 2, 4, 2, 2, 4, 4, 1, 2, 2, 1, 4, 3, 1, 4, 1, 2, 0, 4, 3, 0, 3, 4, 4, 3, 3, 1, 3, 0, 0, 2, 4, 4, 3, 4, 4, 4, 4, 1, 3, 2, 2, 3, 2, 4, 4, 1, 0, 4, 1, 3, 3, 2, 2, 1, 3, 4, 0, 2, 0, 4, 0, 0, 4, 3, 0, 0, 3, 1, 1, 4, 2, 1, 4, 4, 0, 4, 3, 3, 2, 1, 0, 0, 3, 0, 1, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 1, 2, 2, 3, 1, 4, 0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 3, 0, 0, 2, 4, 3, 0, 0, 0, 2, 1, 0, 4, 0, 4, 3, 1, 0, 1, 2, 1, 1, 0, 4, 0, 3, 1, 1, 2, 4, 1, 3, 3, 2, 1, 1] pubkeycol683 = [4, 4, 2, 2, 3, 3, 1, 4, 4, 2, 0, 3, 3, 2, 1, 0, 0, 4, 2, 1, 3, 1, 4, 0, 3, 0, 0, 3, 1, 4, 1, 4, 2, 3, 3, 0, 1, 4, 2, 0, 2, 1, 2, 0, 0, 3, 3, 1, 4, 3, 4, 2, 1, 0, 4, 3, 1, 3, 1, 4, 1, 0, 3, 2, 1, 4, 2, 4, 2, 1, 1, 3, 4, 2, 1, 0, 3, 1, 3, 1, 3, 2, 0, 2, 4, 3, 2, 4, 2, 2, 3, 1, 1, 3, 1, 0, 2, 2, 4, 1, 4, 1, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 0, 2, 3, 1, 0, 0, 4, 3, 4, 1, 3, 0, 4, 4, 2, 2, 3, 0, 0, 4, 1, 4, 2, 1, 2, 3, 3, 3, 2, 3, 3, 4, 3, 4, 0, 0, 0, 3, 4, 2, 2, 3, 1, 0, 4, 4, 4, 3, 3, 2, 4, 3, 0, 4, 0, 1, 2, 4, 4, 2, 3, 4, 0, 1, 0, 3, 2, 0, 4, 0, 0, 4, 3, 1, 0, 1, 1, 1, 3, 3, 0, 0, 1, 1, 3, 3, 4, 2, 1, 0, 2, 0, 1, 3, 0, 2, 1, 4, 3, 2, 4, 1, 3, 4, 4, 2, 4, 0, 1, 0, 2, 2, 3, 0, 3, 4, 3, 4, 3, 3, 1, 0, 3, 3, 0, 1, 2, 2, 3, 3, 4, 1, 3, 2, 2, 4, 3, 0, 1, 1, 4, 2, 4, 2, 3, 4, 1, 1, 3, 3, 4, 3, 4, 4, 3, 1, 0, 3, 1, 2, 1, 0, 2, 1, 1, 0, 4, 3, 4, 1, 4, 2, 4, 2, 2, 0, 3, 4, 2, 3, 2, 0, 2, 3, 3, 2, 4, 4, 2, 4, 2, 0, 1, 3, 3, 0, 1, 1, 1, 1, 0, 3, 2, 0, 4, 2] pubkeycol684 = [1, 3, 0, 4, 0, 0, 3, 3, 3, 0, 0, 1, 2, 4, 3, 4, 0, 3, 1, 2, 1, 0, 0, 0, 0, 2, 3, 2, 1, 3, 3, 1, 2, 1, 4, 4, 4, 1, 0, 1, 1, 1, 1, 4, 1, 1, 1, 4, 2, 3, 4, 2, 3, 0, 2, 1, 4, 4, 0, 0, 3, 2, 0, 2, 2, 2, 1, 1, 0, 3, 4, 2, 0, 2, 1, 1, 3, 1, 1, 1, 1, 3, 0, 0, 0, 1, 3, 4, 2, 2, 4, 3, 0, 2, 3, 1, 2, 2, 2, 1, 2, 0, 4, 1, 0, 0, 0, 4, 2, 3, 4, 4, 0, 2, 1, 0, 1, 1, 4, 1, 2, 4, 4, 0, 1, 0, 3, 1, 3, 1, 3, 0, 2, 1, 4, 0, 2, 2, 3, 3, 3, 2, 3, 3, 2, 2, 4, 3, 4, 3, 4, 0, 1, 0, 2, 3, 2, 1, 0, 2, 2, 4, 0, 1, 4, 2, 2, 1, 2, 4, 0, 4, 4, 4, 3, 3, 1, 4, 2, 2, 2, 0, 1, 3, 2, 1, 2, 1, 3, 2, 2, 3, 2, 3, 0, 4, 3, 0, 3, 4, 2, 2, 4, 2, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 2, 3, 0, 2, 1, 2, 2, 0, 4, 0, 1, 3, 3, 1, 1, 0, 0, 2, 3, 0, 4, 0, 3, 4, 1, 2, 4, 3, 1, 0, 0, 3, 2, 2, 2, 4, 1, 3, 4, 3, 0, 3, 2, 2, 1, 0, 2, 0, 4, 3, 0, 4, 2, 3, 0, 3, 3, 3, 4, 4, 3, 2, 1, 0, 2, 0, 2, 4, 0, 3, 0, 1, 0, 1, 3, 4, 0, 0, 3, 1, 2, 2, 1, 3, 0, 4, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 4, 0, 1, 0, 3, 1, 4, 1] pubkeycol685 = [0, 4, 1, 1, 3, 3, 4, 2, 4, 0, 0, 0, 3, 3, 2, 4, 1, 1, 1, 2, 4, 4, 4, 1, 2, 3, 1, 2, 4, 4, 4, 0, 0, 0, 4, 3, 3, 0, 2, 2, 4, 2, 4, 4, 2, 4, 2, 4, 3, 4, 0, 3, 2, 0, 1, 3, 4, 2, 2, 3, 3, 0, 4, 1, 4, 0, 0, 1, 1, 3, 4, 0, 0, 2, 0, 1, 3, 1, 1, 4, 0, 2, 2, 4, 1, 1, 1, 4, 1, 0, 2, 4, 2, 2, 4, 3, 3, 0, 4, 2, 1, 4, 3, 3, 3, 3, 0, 0, 3, 4, 2, 3, 1, 3, 2, 2, 1, 3, 1, 3, 3, 2, 2, 0, 3, 1, 1, 2, 1, 1, 3, 3, 3, 1, 3, 3, 3, 4, 4, 2, 3, 0, 1, 1, 0, 0, 3, 3, 3, 0, 3, 2, 0, 2, 3, 3, 0, 0, 1, 4, 1, 3, 1, 4, 2, 4, 3, 4, 4, 0, 1, 3, 2, 4, 0, 1, 3, 0, 0, 0, 4, 3, 1, 2, 4, 2, 4, 2, 4, 0, 2, 3, 0, 2, 4, 2, 2, 4, 0, 0, 0, 3, 1, 1, 0, 3, 0, 3, 3, 2, 0, 4, 2, 0, 3, 2, 4, 4, 4, 1, 2, 4, 1, 2, 0, 3, 1, 3, 4, 1, 3, 2, 3, 1, 2, 0, 4, 1, 3, 1, 3, 1, 2, 1, 1, 1, 3, 3, 3, 1, 0, 2, 4, 0, 3, 3, 1, 1, 1, 2, 4, 2, 3, 4, 4, 2, 2, 4, 4, 4, 1, 3, 4, 0, 0, 0, 1, 0, 0, 0, 2, 4, 4, 4, 4, 3, 3, 3, 1, 1, 3, 1, 1, 0, 2, 3, 4, 3, 3, 0, 2, 2, 3, 0, 1, 3, 0, 0, 0, 3, 4, 1, 0, 0, 3, 1, 4, 3, 1, 4] pubkeycol686 = [0, 2, 2, 3, 1, 2, 1, 1, 1, 0, 2, 4, 3, 0, 3, 0, 2, 2, 0, 2, 3, 2, 1, 0, 3, 4, 1, 2, 3, 2, 1, 0, 0, 0, 0, 4, 3, 2, 0, 1, 1, 2, 3, 3, 3, 0, 3, 2, 3, 1, 2, 3, 0, 3, 0, 3, 0, 1, 3, 1, 2, 2, 4, 2, 1, 1, 4, 4, 4, 0, 2, 4, 3, 3, 3, 2, 2, 0, 2, 1, 4, 2, 1, 1, 2, 1, 3, 2, 1, 0, 3, 4, 4, 2, 3, 2, 4, 4, 2, 2, 1, 0, 0, 3, 2, 4, 0, 2, 1, 2, 2, 3, 0, 3, 3, 3, 4, 3, 4, 0, 4, 4, 3, 1, 4, 2, 3, 2, 0, 4, 2, 1, 0, 3, 3, 0, 3, 2, 0, 1, 2, 2, 3, 3, 0, 4, 3, 4, 4, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 4, 0, 1, 3, 1, 3, 4, 0, 2, 0, 0, 3, 1, 3, 0, 2, 1, 4, 4, 4, 0, 3, 1, 1, 4, 4, 2, 1, 1, 4, 0, 0, 3, 4, 2, 3, 1, 1, 3, 3, 4, 2, 0, 3, 2, 2, 3, 0, 2, 3, 1, 1, 1, 2, 2, 1, 0, 1, 4, 0, 4, 4, 0, 1, 1, 0, 3, 4, 4, 3, 0, 1, 2, 2, 4, 2, 4, 1, 3, 2, 4, 1, 0, 1, 2, 2, 4, 0, 1, 4, 3, 0, 2, 1, 4, 2, 0, 0, 0, 2, 1, 0, 3, 2, 3, 1, 4, 2, 1, 4, 3, 3, 0, 0, 1, 0, 2, 0, 3, 2, 0, 1, 1, 0, 1, 2, 3, 2, 2, 3, 2, 0, 1, 1, 1, 3, 3, 1, 1, 2, 0, 2, 3, 2, 3, 1, 4, 1, 2, 2, 4, 3, 1, 4, 1, 4, 3, 1, 4] pubkeycol687 = [2, 0, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 0, 3, 2, 3, 4, 0, 2, 2, 4, 1, 3, 0, 3, 2, 1, 2, 2, 2, 0, 3, 3, 4, 0, 4, 0, 1, 4, 0, 1, 0, 2, 2, 4, 4, 0, 0, 3, 0, 3, 2, 2, 0, 1, 3, 1, 3, 4, 3, 2, 4, 2, 1, 4, 2, 1, 0, 3, 4, 2, 0, 3, 4, 3, 4, 2, 4, 0, 4, 0, 2, 2, 2, 2, 3, 2, 2, 4, 2, 1, 4, 1, 2, 4, 2, 4, 0, 0, 0, 0, 0, 2, 0, 3, 3, 2, 0, 1, 4, 0, 2, 0, 1, 2, 3, 0, 0, 3, 3, 4, 1, 4, 1, 3, 4, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 3, 2, 1, 4, 2, 1, 3, 4, 2, 4, 2, 0, 3, 4, 0, 2, 4, 1, 2, 1, 3, 3, 0, 3, 0, 2, 1, 3, 3, 3, 1, 1, 0, 1, 2, 2, 3, 1, 2, 0, 1, 0, 1, 1, 4, 1, 2, 1, 3, 2, 0, 2, 1, 2, 3, 2, 0, 4, 4, 3, 2, 0, 2, 2, 0, 2, 3, 4, 1, 2, 1, 3, 1, 0, 2, 2, 4, 2, 3, 2, 2, 1, 1, 4, 0, 2, 4, 0, 1, 0, 1, 0, 3, 3, 0, 1, 3, 4, 1, 2, 1, 4, 4, 0, 0, 2, 3, 0, 4, 1, 0, 3, 0, 0, 0, 1, 1, 4, 4, 0, 0, 1, 0, 4, 3, 3, 4, 0, 3, 2, 1, 0, 3, 0, 3, 2, 4, 1, 1, 4, 4, 0, 0, 1, 2, 4, 4, 4, 4, 1, 2, 2, 2, 0, 0, 4, 0, 0, 1, 1, 2, 3, 2, 0, 3, 2, 1, 0, 1, 0, 3, 3, 2, 0, 2, 2, 4, 3] pubkeycol688 = [2, 0, 1, 2, 2, 0, 2, 4, 0, 4, 2, 3, 1, 0, 1, 3, 2, 0, 3, 0, 0, 4, 1, 4, 2, 0, 0, 3, 4, 1, 2, 2, 2, 0, 3, 2, 4, 4, 4, 2, 2, 4, 0, 1, 2, 1, 4, 0, 3, 4, 4, 4, 3, 4, 1, 2, 0, 2, 2, 0, 4, 3, 3, 0, 2, 3, 4, 2, 3, 4, 0, 3, 4, 4, 3, 4, 2, 4, 3, 4, 1, 0, 3, 4, 3, 3, 4, 4, 2, 2, 1, 1, 4, 4, 0, 1, 4, 1, 3, 3, 3, 2, 3, 2, 3, 4, 1, 3, 3, 3, 2, 1, 2, 2, 1, 0, 2, 4, 4, 1, 0, 0, 1, 3, 0, 4, 0, 4, 2, 1, 0, 0, 4, 0, 2, 0, 1, 1, 3, 2, 3, 4, 4, 3, 2, 1, 0, 4, 4, 0, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 4, 2, 3, 3, 1, 2, 1, 4, 1, 1, 3, 3, 4, 1, 4, 4, 2, 3, 4, 3, 4, 4, 3, 1, 3, 2, 3, 3, 3, 2, 0, 4, 3, 0, 0, 4, 4, 2, 2, 4, 4, 4, 1, 4, 2, 3, 0, 2, 0, 2, 1, 3, 4, 4, 0, 1, 2, 2, 3, 4, 2, 0, 0, 1, 1, 0, 0, 3, 1, 1, 3, 0, 1, 3, 0, 1, 1, 0, 1, 2, 0, 4, 1, 3, 1, 0, 2, 3, 4, 3, 2, 0, 2, 4, 1, 3, 0, 0, 3, 1, 1, 0, 3, 2, 1, 0, 0, 1, 4, 1, 4, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 3, 3, 3, 1, 4, 1, 1, 3, 1, 4, 3, 3, 4, 4, 2, 0, 1, 0, 4, 2, 1, 3, 4, 0, 1, 1, 1, 3, 0, 1, 1] pubkeycol689 = [4, 3, 3, 4, 1, 2, 2, 2, 3, 1, 1, 1, 0, 3, 2, 2, 3, 4, 2, 3, 4, 3, 1, 0, 0, 3, 3, 1, 1, 2, 4, 0, 1, 0, 3, 0, 2, 3, 0, 1, 2, 3, 2, 4, 4, 3, 0, 3, 3, 2, 1, 0, 2, 3, 4, 1, 2, 1, 0, 0, 2, 4, 0, 0, 1, 1, 4, 3, 2, 4, 0, 4, 4, 0, 2, 4, 0, 0, 2, 0, 2, 0, 2, 1, 4, 2, 4, 3, 4, 1, 4, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 3, 4, 2, 3, 1, 3, 3, 3, 2, 2, 2, 0, 0, 0, 3, 1, 0, 4, 2, 1, 4, 2, 1, 0, 4, 3, 0, 3, 3, 1, 2, 4, 2, 3, 4, 2, 1, 2, 0, 1, 1, 4, 4, 0, 0, 0, 3, 2, 0, 3, 2, 3, 4, 0, 4, 3, 1, 3, 0, 3, 3, 1, 3, 2, 1, 1, 1, 3, 2, 4, 2, 4, 0, 0, 2, 3, 2, 0, 3, 3, 0, 2, 2, 3, 1, 0, 2, 3, 3, 2, 3, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 1, 3, 1, 1, 1, 0, 2, 2, 1, 1, 4, 0, 2, 0, 2, 2, 4, 2, 1, 0, 1, 2, 2, 1, 4, 1, 2, 2, 0, 0, 0, 2, 4, 0, 3, 3, 1, 2, 4, 4, 3, 4, 4, 4, 4, 1, 0, 0, 1, 4, 0, 0, 0, 0, 3, 4, 2, 4, 0, 4, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 4, 1, 0, 2, 3, 3, 3, 4, 1, 1, 2, 0, 4, 0, 1, 3, 4, 3, 1, 0, 1, 3, 0, 2, 4, 2, 0, 2, 2, 3, 0, 0, 0, 0, 2, 1, 0, 2, 4, 4, 1, 4, 2, 4, 3, 0] pubkeycol690 = [0, 1, 2, 3, 3, 4, 1, 0, 3, 1, 0, 2, 2, 4, 3, 4, 2, 4, 0, 1, 4, 1, 3, 2, 0, 3, 0, 0, 2, 1, 0, 4, 2, 0, 4, 3, 1, 1, 3, 1, 1, 3, 4, 1, 4, 2, 3, 1, 3, 3, 3, 0, 3, 1, 1, 0, 1, 2, 0, 0, 0, 0, 4, 0, 4, 2, 2, 0, 2, 4, 1, 2, 0, 4, 2, 3, 1, 4, 2, 1, 3, 3, 4, 0, 4, 4, 3, 3, 0, 4, 4, 3, 2, 0, 2, 3, 2, 1, 3, 4, 3, 3, 2, 1, 3, 0, 4, 2, 3, 3, 4, 0, 3, 3, 2, 2, 4, 3, 1, 4, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 4, 0, 2, 4, 1, 2, 0, 4, 4, 1, 1, 1, 3, 3, 4, 0, 4, 2, 0, 2, 0, 1, 2, 3, 4, 4, 1, 3, 3, 1, 2, 0, 2, 0, 3, 0, 0, 1, 3, 0, 1, 1, 1, 4, 3, 4, 2, 4, 3, 0, 3, 2, 4, 4, 3, 2, 0, 0, 2, 4, 0, 0, 1, 4, 3, 0, 0, 4, 0, 0, 3, 2, 4, 4, 3, 0, 2, 0, 4, 0, 2, 1, 1, 3, 2, 0, 2, 0, 1, 3, 2, 4, 2, 0, 2, 4, 2, 2, 1, 4, 2, 3, 0, 3, 1, 4, 2, 2, 1, 1, 1, 3, 4, 2, 3, 1, 4, 3, 3, 4, 4, 1, 3, 2, 2, 2, 4, 1, 1, 2, 0, 2, 4, 1, 1, 1, 2, 4, 2, 3, 2, 3, 2, 1, 3, 1, 1, 4, 0, 1, 0, 2, 4, 1, 4, 3, 1, 1, 4, 2, 1, 4, 4, 0, 4, 2, 3, 0, 4, 3, 4, 1, 4, 4, 0, 0, 0, 2, 3, 3, 4, 1, 4, 4, 2, 4, 3, 0, 0] pubkeycol691 = [2, 0, 1, 4, 1, 4, 0, 2, 0, 3, 4, 3, 2, 4, 3, 0, 1, 3, 2, 1, 4, 3, 1, 1, 1, 0, 1, 2, 0, 3, 2, 4, 3, 3, 3, 0, 4, 2, 1, 4, 2, 0, 0, 4, 2, 0, 1, 1, 3, 3, 0, 2, 2, 4, 3, 4, 2, 2, 0, 1, 4, 4, 2, 1, 1, 0, 1, 3, 0, 0, 3, 4, 4, 3, 2, 2, 1, 3, 2, 3, 3, 3, 3, 4, 3, 0, 2, 2, 3, 1, 3, 4, 4, 4, 2, 2, 1, 2, 1, 2, 3, 3, 4, 1, 4, 0, 3, 1, 4, 2, 1, 1, 1, 3, 0, 4, 3, 1, 2, 2, 1, 3, 0, 4, 3, 0, 4, 0, 1, 4, 3, 4, 0, 2, 3, 3, 3, 2, 3, 2, 3, 0, 1, 3, 2, 1, 0, 2, 1, 2, 4, 3, 0, 0, 1, 3, 3, 1, 0, 4, 1, 0, 3, 3, 3, 2, 4, 2, 1, 1, 2, 2, 3, 3, 0, 2, 4, 0, 4, 2, 1, 1, 0, 2, 1, 1, 0, 2, 4, 0, 0, 3, 3, 2, 1, 2, 3, 1, 3, 3, 4, 4, 4, 3, 1, 4, 0, 4, 2, 0, 1, 1, 4, 3, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 3, 4, 4, 0, 4, 3, 1, 4, 3, 2, 3, 2, 1, 4, 0, 3, 3, 3, 0, 2, 2, 0, 2, 4, 1, 0, 0, 0, 0, 4, 1, 0, 2, 4, 2, 2, 2, 1, 4, 1, 0, 0, 0, 2, 1, 2, 3, 1, 1, 2, 1, 3, 0, 3, 2, 4, 4, 1, 1, 4, 1, 2, 0, 3, 0, 3, 2, 1, 4, 0, 3, 2, 2, 3, 4, 3, 3, 0, 1, 3, 2, 0, 3, 0, 2, 2, 2, 0, 1, 1, 3, 0, 4, 4, 2, 2] pubkeycol692 = [1, 2, 1, 2, 0, 4, 1, 4, 3, 2, 1, 3, 3, 1, 4, 2, 4, 2, 0, 0, 1, 4, 1, 2, 1, 4, 3, 1, 4, 4, 1, 1, 0, 3, 0, 1, 1, 4, 0, 4, 0, 0, 1, 4, 3, 0, 3, 1, 1, 1, 0, 3, 2, 4, 0, 2, 0, 2, 0, 2, 4, 1, 3, 1, 2, 0, 3, 4, 1, 0, 0, 1, 3, 4, 3, 4, 0, 0, 1, 4, 4, 3, 0, 4, 3, 2, 3, 0, 4, 3, 3, 1, 3, 3, 1, 4, 0, 0, 4, 2, 4, 1, 1, 3, 0, 1, 4, 0, 1, 0, 4, 3, 4, 4, 4, 3, 0, 3, 0, 1, 0, 3, 4, 3, 1, 0, 1, 4, 2, 1, 3, 0, 2, 1, 2, 0, 4, 0, 0, 4, 3, 2, 0, 1, 4, 4, 4, 4, 3, 0, 0, 2, 2, 2, 1, 4, 0, 2, 4, 1, 2, 2, 0, 3, 0, 4, 0, 4, 1, 3, 2, 3, 1, 1, 1, 2, 4, 2, 2, 0, 1, 3, 0, 1, 2, 0, 4, 3, 4, 1, 1, 0, 0, 3, 3, 1, 3, 1, 2, 3, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 1, 0, 0, 3, 3, 2, 3, 2, 3, 2, 0, 0, 4, 3, 3, 3, 0, 3, 2, 3, 1, 4, 0, 3, 0, 3, 2, 1, 1, 2, 4, 3, 4, 3, 0, 4, 1, 0, 2, 1, 4, 2, 4, 2, 2, 0, 4, 1, 3, 0, 1, 2, 4, 1, 4, 1, 3, 4, 1, 1, 0, 2, 0, 0, 1, 3, 4, 0, 0, 1, 0, 2, 2, 4, 0, 4, 0, 2, 1, 2, 4, 0, 4, 1, 2, 0, 4, 3, 3, 2, 1, 1, 0, 3, 0, 0, 1, 3, 4, 3, 1, 0, 3, 2, 2, 1, 2] pubkeycol693 = [0, 3, 2, 3, 4, 0, 3, 4, 0, 4, 4, 0, 4, 2, 2, 3, 3, 3, 4, 1, 3, 2, 2, 2, 1, 3, 4, 0, 4, 4, 3, 1, 0, 3, 4, 1, 2, 3, 1, 3, 0, 1, 0, 1, 3, 2, 2, 2, 1, 3, 3, 1, 4, 2, 3, 0, 0, 2, 1, 0, 2, 4, 1, 4, 0, 0, 1, 2, 2, 2, 0, 1, 3, 0, 2, 0, 1, 2, 2, 2, 0, 0, 3, 2, 4, 1, 2, 2, 0, 0, 2, 4, 1, 3, 1, 3, 3, 3, 0, 1, 1, 0, 2, 3, 3, 3, 1, 4, 4, 1, 2, 3, 0, 2, 0, 4, 2, 2, 3, 2, 3, 4, 1, 2, 0, 4, 1, 3, 1, 4, 1, 4, 0, 3, 0, 2, 4, 4, 4, 2, 3, 2, 2, 0, 4, 0, 2, 4, 2, 1, 0, 1, 1, 3, 4, 0, 0, 3, 0, 1, 3, 2, 4, 4, 0, 3, 4, 1, 0, 1, 3, 2, 3, 4, 2, 0, 0, 4, 2, 4, 4, 0, 0, 1, 1, 0, 4, 2, 3, 1, 2, 2, 2, 3, 4, 2, 4, 2, 0, 3, 4, 1, 1, 3, 2, 2, 4, 0, 2, 2, 0, 0, 2, 0, 1, 3, 1, 4, 4, 3, 0, 3, 0, 4, 3, 4, 4, 0, 1, 1, 2, 0, 4, 4, 2, 3, 1, 4, 0, 3, 0, 3, 0, 0, 4, 0, 3, 3, 4, 0, 4, 0, 4, 0, 4, 3, 1, 3, 2, 1, 3, 2, 1, 0, 1, 2, 4, 1, 4, 4, 3, 2, 1, 2, 4, 0, 0, 1, 1, 4, 2, 2, 0, 3, 1, 1, 4, 3, 0, 1, 4, 1, 1, 2, 2, 0, 2, 1, 4, 2, 1, 0, 4, 3, 4, 0, 3, 4, 0, 2, 1, 4, 4, 4, 2, 2, 4, 0, 0, 1] pubkeycol694 = [1, 3, 1, 4, 3, 1, 4, 0, 3, 4, 1, 1, 3, 4, 3, 2, 3, 3, 2, 0, 3, 4, 0, 0, 3, 4, 1, 2, 0, 0, 0, 2, 3, 3, 3, 1, 0, 4, 2, 3, 4, 2, 4, 4, 0, 2, 2, 0, 1, 2, 4, 1, 4, 2, 2, 4, 2, 4, 4, 2, 4, 2, 1, 2, 4, 2, 0, 0, 3, 3, 1, 1, 3, 0, 4, 1, 4, 2, 0, 1, 1, 4, 0, 4, 0, 3, 2, 0, 4, 1, 2, 2, 4, 4, 0, 2, 4, 4, 4, 3, 4, 0, 4, 3, 2, 0, 0, 0, 4, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 3, 4, 3, 0, 1, 4, 0, 3, 0, 3, 2, 2, 1, 3, 1, 1, 3, 2, 0, 0, 3, 1, 4, 4, 1, 0, 1, 2, 2, 3, 1, 0, 1, 3, 2, 3, 0, 2, 3, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 0, 4, 2, 1, 4, 1, 2, 4, 2, 2, 2, 0, 4, 4, 3, 0, 0, 2, 3, 1, 4, 3, 1, 4, 3, 1, 1, 4, 4, 3, 2, 3, 3, 4, 3, 2, 3, 2, 1, 1, 3, 1, 0, 4, 2, 1, 1, 3, 2, 2, 2, 2, 3, 0, 2, 1, 4, 1, 1, 0, 4, 0, 4, 2, 3, 4, 3, 2, 3, 0, 1, 2, 1, 4, 1, 3, 2, 3, 0, 0, 1, 1, 2, 0, 2, 3, 1, 4, 0, 0, 4, 0, 1, 0, 2, 2, 4, 0, 3, 2, 0, 1, 3, 1, 1, 1, 2, 3, 4, 1, 1, 1, 0, 2, 4, 4, 2, 4, 0, 2, 2, 4, 4, 0, 1, 2, 1, 4, 4, 4, 3, 1, 2, 0, 2, 0, 2, 2, 1, 3, 4, 0, 3, 4] pubkeycol695 = [3, 2, 0, 2, 1, 2, 3, 2, 3, 4, 4, 3, 0, 4, 4, 4, 4, 1, 4, 4, 2, 1, 1, 3, 4, 4, 4, 3, 0, 3, 0, 0, 1, 4, 4, 1, 4, 4, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 1, 0, 4, 2, 3, 2, 3, 2, 1, 4, 2, 2, 4, 0, 0, 3, 4, 2, 3, 3, 1, 1, 2, 2, 2, 4, 3, 0, 0, 3, 0, 2, 4, 4, 3, 4, 3, 1, 0, 4, 3, 1, 3, 3, 0, 1, 4, 2, 1, 4, 3, 1, 4, 0, 3, 0, 2, 2, 3, 0, 1, 2, 1, 1, 2, 2, 3, 4, 1, 3, 2, 0, 4, 4, 1, 1, 0, 4, 0, 1, 2, 1, 3, 3, 4, 0, 4, 3, 3, 0, 1, 2, 4, 4, 1, 2, 3, 1, 2, 0, 0, 4, 2, 2, 4, 2, 4, 3, 3, 0, 1, 0, 0, 4, 0, 1, 2, 0, 4, 2, 1, 1, 3, 3, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 3, 0, 4, 3, 1, 3, 3, 1, 4, 4, 3, 0, 4, 0, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 3, 3, 0, 2, 4, 1, 1, 1, 3, 3, 0, 1, 3, 1, 0, 4, 3, 2, 0, 2, 1, 4, 4, 3, 0, 0, 4, 0, 4, 0, 3, 2, 3, 3, 4, 1, 0, 3, 3, 3, 3, 1, 2, 1, 0, 2, 2, 4, 0, 2, 0, 2, 3, 1, 1, 3, 4, 2, 2, 2, 3, 0, 4, 1, 1, 0, 2, 3, 3, 1, 1, 2, 3, 0, 0, 3, 0, 4, 0, 4, 4, 4, 0, 0, 1, 0, 1, 4, 2, 0, 3, 2, 2, 2, 4, 0, 4, 4, 2] pubkeycol696 = [2, 4, 3, 0, 1, 2, 3, 1, 4, 3, 4, 0, 1, 1, 1, 3, 2, 0, 2, 3, 1, 0, 2, 4, 2, 4, 3, 4, 1, 0, 3, 1, 3, 1, 2, 2, 0, 2, 0, 1, 3, 3, 0, 1, 2, 0, 4, 1, 4, 0, 4, 4, 3, 2, 0, 1, 3, 2, 4, 2, 4, 3, 1, 0, 2, 4, 4, 4, 2, 2, 1, 3, 0, 0, 2, 1, 4, 2, 3, 0, 3, 4, 2, 2, 1, 2, 3, 2, 0, 1, 0, 2, 0, 1, 4, 3, 4, 3, 2, 1, 1, 2, 2, 1, 2, 0, 3, 1, 2, 0, 3, 0, 0, 0, 1, 1, 4, 1, 4, 4, 3, 2, 0, 4, 0, 4, 3, 1, 3, 2, 2, 3, 3, 3, 3, 2, 2, 0, 2, 1, 4, 1, 1, 0, 4, 0, 4, 4, 2, 3, 3, 1, 0, 0, 4, 0, 0, 1, 0, 0, 0, 2, 4, 3, 4, 2, 2, 1, 3, 3, 0, 3, 3, 1, 1, 0, 4, 1, 0, 2, 4, 3, 3, 0, 4, 3, 3, 2, 4, 4, 1, 1, 0, 3, 3, 1, 3, 0, 2, 4, 4, 2, 4, 3, 4, 0, 1, 1, 0, 2, 3, 3, 3, 0, 1, 4, 4, 0, 1, 3, 3, 4, 0, 3, 2, 2, 4, 1, 2, 4, 4, 3, 2, 2, 3, 2, 2, 4, 1, 1, 4, 4, 1, 1, 1, 0, 4, 0, 3, 1, 2, 1, 3, 2, 2, 0, 3, 4, 1, 1, 0, 0, 2, 3, 2, 0, 4, 2, 4, 2, 2, 4, 2, 2, 2, 0, 1, 2, 2, 3, 4, 4, 0, 4, 3, 3, 3, 4, 2, 2, 4, 1, 2, 1, 3, 1, 2, 2, 4, 0, 3, 3, 4, 0, 0, 0, 0, 0, 2, 4, 0, 4, 1, 3, 0, 3, 2, 1, 3, 3] pubkeycol697 = [0, 4, 2, 4, 4, 3, 2, 4, 3, 3, 4, 3, 3, 1, 3, 0, 3, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 4, 3, 3, 4, 3, 3, 2, 2, 4, 1, 2, 3, 3, 1, 4, 3, 0, 3, 1, 2, 2, 1, 4, 0, 0, 1, 2, 1, 1, 1, 4, 0, 2, 1, 3, 1, 3, 2, 4, 0, 3, 1, 2, 0, 4, 0, 0, 1, 0, 2, 0, 3, 1, 3, 3, 3, 4, 2, 0, 2, 3, 1, 0, 4, 3, 4, 3, 0, 0, 4, 2, 0, 1, 1, 1, 1, 3, 1, 4, 1, 3, 3, 4, 1, 1, 3, 0, 4, 2, 3, 0, 4, 1, 1, 1, 2, 3, 2, 0, 2, 0, 3, 0, 1, 0, 0, 4, 4, 0, 4, 1, 0, 4, 1, 0, 2, 4, 0, 4, 2, 3, 0, 0, 4, 1, 2, 2, 2, 2, 2, 2, 3, 4, 4, 0, 1, 4, 0, 2, 2, 4, 3, 4, 1, 2, 3, 2, 4, 0, 1, 2, 0, 4, 1, 3, 0, 3, 0, 4, 4, 1, 4, 1, 0, 4, 1, 4, 0, 2, 1, 4, 3, 1, 2, 2, 3, 4, 2, 2, 1, 4, 2, 4, 3, 2, 2, 4, 3, 1, 2, 4, 1, 4, 0, 3, 4, 3, 0, 1, 4, 2, 4, 0, 1, 0, 3, 3, 0, 0, 1, 3, 0, 2, 2, 0, 0, 0, 2, 1, 4, 1, 4, 4, 4, 1, 2, 1, 4, 4, 0, 1, 3, 4, 2, 2, 2, 0, 4, 3, 3, 1, 3, 3, 3, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 3, 3, 2, 1, 2, 1, 2, 1, 3, 0, 3, 1, 3, 3, 0, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 4, 2, 2] pubkeycol698 = [0, 4, 2, 2, 4, 1, 1, 0, 0, 3, 0, 0, 0, 1, 1, 4, 0, 1, 1, 2, 3, 2, 4, 2, 3, 4, 4, 0, 2, 3, 1, 2, 3, 0, 2, 0, 1, 4, 4, 1, 1, 2, 2, 3, 1, 0, 4, 2, 0, 4, 4, 2, 4, 3, 3, 2, 1, 0, 2, 4, 0, 0, 2, 1, 1, 0, 0, 4, 0, 4, 2, 4, 2, 3, 2, 0, 0, 4, 3, 2, 2, 3, 0, 2, 0, 1, 4, 3, 1, 4, 2, 0, 4, 2, 2, 1, 3, 2, 4, 2, 4, 0, 2, 2, 0, 0, 0, 4, 0, 4, 4, 2, 1, 4, 1, 2, 2, 4, 4, 3, 1, 3, 0, 4, 0, 2, 2, 0, 1, 3, 3, 2, 4, 3, 2, 3, 4, 4, 1, 1, 0, 2, 2, 2, 3, 4, 4, 0, 1, 3, 1, 2, 2, 3, 3, 4, 1, 1, 0, 2, 0, 3, 3, 3, 1, 0, 1, 1, 0, 2, 4, 1, 4, 4, 1, 0, 0, 2, 1, 0, 4, 4, 1, 4, 1, 4, 2, 3, 2, 1, 1, 1, 3, 2, 0, 2, 0, 0, 1, 1, 0, 4, 1, 1, 4, 0, 0, 2, 3, 0, 3, 0, 3, 3, 0, 2, 4, 3, 0, 1, 0, 0, 2, 3, 2, 4, 4, 4, 0, 0, 1, 0, 3, 3, 4, 1, 0, 1, 4, 4, 0, 2, 2, 2, 0, 3, 4, 0, 3, 0, 3, 3, 2, 3, 4, 0, 0, 0, 1, 0, 2, 2, 0, 1, 4, 0, 2, 4, 3, 3, 2, 4, 1, 3, 3, 3, 4, 4, 4, 0, 4, 2, 0, 1, 0, 1, 4, 4, 4, 0, 2, 0, 2, 1, 3, 0, 0, 2, 4, 1, 4, 1, 4, 3, 0, 1, 1, 4, 3, 2, 1, 1, 1, 0, 1, 4, 4, 0, 1, 1] pubkeycol699 = [0, 4, 2, 3, 3, 0, 0, 3, 3, 1, 2, 2, 2, 1, 4, 3, 3, 0, 3, 2, 2, 3, 2, 1, 2, 2, 1, 4, 4, 0, 2, 4, 0, 3, 3, 4, 2, 1, 2, 2, 3, 4, 1, 1, 3, 3, 3, 2, 0, 1, 1, 4, 1, 3, 2, 4, 1, 0, 2, 2, 2, 4, 2, 2, 2, 4, 1, 1, 2, 4, 2, 4, 4, 2, 3, 0, 1, 3, 4, 3, 4, 2, 2, 4, 4, 1, 0, 1, 0, 3, 2, 4, 4, 0, 0, 4, 1, 4, 2, 0, 1, 4, 1, 0, 4, 4, 0, 0, 4, 3, 2, 1, 1, 2, 1, 0, 3, 3, 1, 1, 3, 2, 0, 4, 2, 3, 1, 0, 0, 1, 1, 1, 4, 0, 3, 0, 3, 4, 4, 0, 2, 3, 1, 0, 0, 0, 0, 1, 3, 1, 0, 3, 3, 4, 3, 4, 1, 3, 1, 4, 1, 4, 2, 1, 4, 0, 4, 4, 2, 2, 4, 4, 3, 3, 3, 3, 4, 0, 1, 3, 1, 0, 2, 3, 2, 3, 4, 2, 0, 0, 1, 0, 1, 3, 3, 2, 2, 1, 1, 4, 4, 1, 3, 4, 2, 4, 3, 0, 2, 2, 1, 0, 4, 4, 4, 0, 2, 0, 4, 0, 1, 2, 1, 3, 3, 0, 4, 3, 1, 2, 2, 3, 1, 0, 3, 1, 3, 1, 3, 0, 4, 1, 2, 0, 1, 4, 4, 2, 0, 0, 1, 1, 1, 3, 1, 2, 0, 2, 0, 0, 3, 3, 1, 0, 3, 4, 0, 2, 2, 3, 2, 1, 0, 1, 4, 3, 1, 4, 2, 3, 2, 0, 4, 4, 0, 1, 4, 1, 3, 1, 0, 0, 2, 1, 1, 4, 0, 2, 1, 2, 1, 2, 3, 4, 3, 1, 4, 1, 1, 0, 1, 4, 3, 4, 3, 4, 4, 3, 0, 1] pubkeycol700 = [3, 1, 2, 4, 4, 4, 2, 2, 4, 3, 0, 2, 1, 0, 0, 3, 4, 0, 3, 4, 0, 4, 2, 1, 2, 0, 2, 3, 2, 2, 3, 2, 1, 4, 2, 0, 3, 4, 0, 0, 1, 4, 0, 3, 3, 1, 2, 1, 4, 4, 2, 0, 1, 0, 4, 2, 1, 0, 1, 0, 2, 4, 4, 0, 4, 4, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 4, 2, 3, 4, 0, 2, 1, 3, 2, 3, 4, 2, 0, 0, 1, 0, 2, 2, 3, 1, 0, 2, 4, 3, 2, 3, 3, 3, 2, 0, 0, 1, 3, 2, 4, 4, 1, 0, 0, 4, 2, 4, 0, 2, 2, 0, 2, 1, 2, 0, 0, 3, 4, 2, 2, 1, 4, 4, 2, 4, 2, 2, 2, 1, 2, 1, 0, 2, 1, 3, 1, 3, 2, 1, 4, 0, 2, 2, 1, 0, 2, 0, 3, 3, 4, 1, 1, 0, 2, 4, 1, 4, 0, 2, 0, 1, 1, 2, 0, 3, 0, 2, 0, 4, 0, 3, 3, 4, 1, 0, 1, 3, 3, 3, 0, 3, 2, 3, 4, 0, 0, 3, 3, 0, 1, 1, 0, 2, 2, 4, 2, 3, 3, 2, 2, 0, 1, 4, 2, 0, 1, 2, 0, 1, 2, 3, 4, 1, 4, 3, 1, 0, 2, 1, 2, 4, 1, 2, 2, 1, 0, 3, 1, 3, 3, 0, 2, 1, 3, 4, 3, 2, 1, 3, 4, 1, 3, 1, 4, 4, 4, 1, 2, 1, 0, 2, 1, 0, 0, 0, 3, 2, 2, 0, 1, 0, 0, 0, 4, 0, 1, 2, 0, 3, 2, 4, 2, 2, 4, 0, 1, 0, 2, 0, 1, 3, 3, 4, 3, 4, 1, 4, 4, 4, 4, 1, 2, 1, 4, 4, 0, 1, 1, 3, 4, 3, 2, 3, 2, 4, 4, 2, 3, 1] pubkeycol701 = [1, 4, 1, 4, 2, 0, 3, 1, 2, 2, 0, 0, 2, 3, 4, 3, 2, 2, 3, 3, 1, 3, 0, 1, 0, 1, 0, 3, 1, 0, 4, 3, 4, 3, 2, 2, 0, 3, 3, 2, 3, 2, 3, 4, 2, 1, 2, 4, 2, 4, 4, 1, 4, 4, 3, 0, 0, 3, 1, 1, 0, 2, 0, 0, 0, 4, 0, 2, 4, 2, 4, 4, 3, 4, 3, 3, 1, 1, 3, 3, 1, 3, 3, 0, 2, 3, 2, 3, 0, 1, 2, 2, 0, 0, 4, 2, 1, 3, 4, 0, 0, 4, 0, 4, 2, 2, 2, 0, 3, 3, 2, 3, 1, 4, 0, 2, 2, 4, 3, 4, 0, 2, 1, 0, 1, 1, 2, 0, 4, 3, 0, 2, 3, 3, 4, 3, 1, 0, 3, 2, 2, 4, 3, 1, 4, 1, 0, 0, 3, 1, 1, 3, 1, 4, 2, 4, 1, 0, 3, 3, 2, 3, 3, 1, 1, 3, 1, 0, 3, 3, 4, 3, 4, 1, 0, 3, 0, 1, 4, 3, 3, 4, 3, 4, 2, 4, 1, 3, 1, 3, 2, 1, 4, 0, 3, 3, 2, 3, 1, 0, 3, 3, 1, 3, 3, 3, 2, 4, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 1, 3, 1, 3, 0, 1, 1, 3, 3, 4, 4, 2, 4, 4, 1, 1, 2, 4, 4, 3, 1, 2, 1, 4, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 1, 4, 1, 1, 4, 1, 1, 3, 4, 0, 3, 3, 0, 3, 1, 4, 0, 4, 4, 2, 4, 2, 1, 1, 0, 4, 0, 2, 3, 2, 1, 4, 4, 2, 0, 4, 0, 0, 4, 3, 1, 0, 0, 4, 3, 2, 1, 0, 2, 1, 4, 4, 3, 0, 1, 3, 3, 3, 2, 3, 3, 1, 4, 0, 2, 3, 1] pubkeycol702 = [1, 0, 0, 3, 1, 0, 2, 4, 2, 1, 2, 0, 1, 1, 4, 1, 4, 2, 1, 4, 1, 1, 3, 3, 3, 3, 2, 3, 1, 2, 4, 0, 4, 0, 3, 4, 0, 0, 0, 1, 4, 2, 2, 0, 4, 1, 0, 1, 1, 0, 2, 2, 3, 2, 0, 1, 0, 4, 0, 4, 2, 4, 2, 1, 3, 0, 2, 2, 1, 1, 1, 2, 1, 3, 3, 2, 0, 3, 0, 4, 3, 0, 4, 2, 0, 2, 4, 0, 3, 4, 3, 1, 4, 1, 2, 1, 2, 0, 2, 3, 4, 2, 2, 2, 2, 0, 2, 3, 3, 0, 3, 0, 1, 1, 1, 1, 2, 3, 4, 2, 4, 2, 3, 2, 0, 2, 1, 3, 4, 4, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 0, 1, 1, 0, 0, 4, 0, 1, 0, 2, 1, 0, 3, 4, 3, 3, 2, 0, 0, 4, 0, 0, 4, 3, 4, 3, 1, 0, 1, 2, 1, 2, 3, 3, 0, 0, 3, 0, 1, 3, 4, 2, 2, 3, 3, 1, 1, 3, 3, 3, 1, 4, 0, 2, 0, 2, 2, 2, 3, 3, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 3, 4, 4, 3, 2, 3, 3, 4, 4, 1, 3, 4, 0, 0, 1, 1, 0, 4, 4, 0, 2, 3, 4, 1, 3, 2, 3, 4, 3, 4, 4, 2, 0, 2, 4, 0, 3, 4, 2, 0, 4, 3, 3, 4, 1, 0, 4, 0, 0, 1, 2, 0, 3, 0, 2, 1, 2, 4, 4, 3, 1, 3, 3, 0, 1, 1, 0, 4, 4, 0, 3, 3, 3, 3, 3, 1, 2, 3, 4, 3, 2, 4, 4, 4, 0, 2, 4, 3, 2, 1, 4, 1, 0, 0, 0, 4, 3, 4, 1, 3, 0, 2, 3, 4, 0, 4, 1, 0, 1, 4] pubkeycol703 = [2, 3, 1, 1, 1, 3, 1, 2, 0, 3, 3, 4, 2, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 2, 3, 2, 3, 4, 2, 0, 0, 0, 1, 4, 3, 0, 0, 2, 4, 4, 0, 4, 2, 0, 2, 3, 4, 3, 3, 1, 0, 4, 4, 3, 4, 0, 1, 2, 4, 0, 4, 1, 2, 4, 4, 3, 0, 3, 2, 4, 0, 1, 3, 2, 0, 4, 3, 2, 2, 4, 3, 4, 0, 1, 4, 3, 3, 0, 0, 0, 1, 3, 0, 1, 2, 0, 4, 3, 1, 3, 0, 2, 4, 0, 0, 4, 4, 4, 0, 3, 1, 4, 2, 2, 0, 1, 2, 4, 4, 4, 3, 2, 3, 0, 0, 4, 4, 4, 0, 1, 1, 4, 4, 0, 4, 2, 2, 4, 1, 3, 0, 3, 0, 3, 1, 3, 3, 1, 2, 1, 4, 4, 4, 4, 0, 4, 4, 2, 4, 1, 4, 0, 2, 3, 3, 0, 1, 1, 3, 4, 4, 4, 2, 1, 1, 0, 4, 0, 4, 4, 4, 2, 3, 1, 4, 0, 0, 4, 2, 2, 3, 4, 3, 3, 2, 3, 4, 0, 4, 3, 1, 4, 1, 2, 2, 0, 4, 0, 2, 0, 1, 1, 0, 4, 2, 0, 4, 4, 4, 2, 0, 0, 1, 3, 1, 1, 0, 2, 1, 1, 2, 4, 1, 3, 0, 0, 1, 3, 2, 3, 3, 2, 0, 1, 1, 1, 3, 2, 4, 0, 4, 2, 0, 4, 0, 0, 2, 0, 1, 4, 4, 4, 2, 1, 2, 2, 3, 2, 0, 3, 1, 1, 1, 0, 3, 4, 1, 0, 2, 3, 4, 2, 3, 0, 2, 2, 1, 1, 1, 1, 4, 0, 4, 1, 1, 4, 0, 4, 1, 4, 3, 4, 3, 2, 1, 1, 0, 4, 2, 2, 4, 2, 4, 0, 3, 3, 2] pubkeycol704 = [4, 0, 3, 3, 4, 2, 1, 3, 2, 3, 0, 4, 1, 1, 2, 1, 3, 3, 4, 3, 1, 3, 3, 1, 4, 4, 0, 1, 1, 0, 0, 3, 3, 2, 4, 3, 0, 2, 3, 4, 2, 1, 3, 4, 3, 1, 3, 1, 3, 3, 2, 0, 0, 4, 2, 4, 2, 3, 4, 0, 4, 3, 4, 1, 0, 1, 4, 1, 3, 0, 4, 0, 2, 2, 4, 1, 3, 1, 1, 0, 2, 4, 3, 4, 4, 2, 4, 2, 0, 3, 4, 2, 3, 4, 3, 0, 4, 4, 0, 1, 2, 0, 4, 4, 1, 0, 3, 3, 4, 2, 0, 3, 4, 0, 3, 0, 3, 3, 3, 2, 4, 1, 3, 2, 1, 3, 1, 3, 1, 0, 1, 4, 3, 4, 4, 3, 3, 3, 0, 1, 4, 2, 2, 3, 1, 0, 2, 0, 2, 4, 0, 4, 2, 2, 2, 4, 2, 1, 4, 2, 3, 3, 4, 1, 2, 4, 0, 0, 3, 4, 2, 0, 0, 3, 2, 0, 0, 4, 0, 0, 4, 3, 2, 3, 0, 1, 1, 2, 4, 0, 3, 3, 4, 3, 0, 4, 4, 1, 1, 4, 4, 1, 4, 4, 3, 0, 0, 1, 1, 3, 0, 2, 2, 3, 2, 2, 2, 1, 2, 1, 4, 1, 3, 0, 2, 1, 4, 2, 3, 1, 4, 0, 2, 1, 3, 0, 2, 4, 2, 2, 1, 0, 4, 4, 4, 4, 2, 0, 0, 3, 0, 2, 3, 2, 1, 4, 4, 2, 3, 4, 3, 2, 3, 3, 0, 0, 2, 2, 4, 0, 1, 4, 4, 1, 4, 4, 0, 0, 4, 4, 4, 2, 1, 4, 3, 4, 0, 1, 2, 2, 1, 1, 1, 3, 3, 2, 1, 3, 3, 2, 3, 2, 4, 3, 4, 2, 3, 2, 4, 1, 4, 3, 0, 3, 2, 2, 4, 2, 3, 0] pubkeycol705 = [2, 4, 4, 2, 3, 1, 4, 2, 2, 3, 4, 2, 4, 1, 0, 4, 2, 4, 2, 2, 1, 0, 4, 3, 2, 1, 2, 1, 0, 1, 1, 4, 2, 3, 2, 1, 1, 1, 4, 1, 3, 2, 4, 4, 3, 1, 1, 1, 4, 3, 4, 3, 0, 4, 2, 0, 1, 1, 0, 2, 3, 1, 1, 0, 3, 3, 2, 0, 0, 1, 2, 3, 4, 0, 1, 3, 0, 1, 4, 0, 1, 4, 0, 4, 1, 4, 2, 1, 3, 0, 3, 2, 2, 4, 0, 0, 3, 4, 3, 4, 1, 0, 4, 3, 3, 3, 1, 3, 3, 0, 1, 2, 4, 3, 1, 0, 3, 2, 4, 1, 1, 2, 4, 0, 3, 1, 1, 1, 0, 3, 4, 1, 0, 1, 4, 3, 0, 2, 4, 2, 4, 4, 4, 2, 0, 3, 0, 3, 3, 0, 1, 1, 2, 3, 2, 2, 0, 3, 3, 0, 3, 0, 4, 1, 3, 3, 4, 2, 3, 2, 3, 0, 1, 3, 0, 1, 2, 3, 2, 4, 2, 1, 0, 0, 0, 2, 3, 0, 2, 1, 3, 3, 3, 4, 3, 4, 3, 2, 2, 0, 0, 1, 2, 1, 1, 0, 3, 1, 2, 4, 0, 0, 4, 4, 4, 0, 4, 3, 3, 3, 1, 2, 0, 3, 4, 4, 2, 2, 2, 4, 4, 4, 4, 1, 2, 0, 0, 4, 4, 3, 4, 3, 3, 0, 0, 4, 1, 0, 4, 2, 3, 2, 3, 3, 4, 2, 3, 0, 3, 0, 1, 3, 4, 4, 2, 1, 0, 3, 0, 4, 3, 3, 0, 1, 2, 2, 0, 3, 4, 1, 1, 4, 4, 3, 4, 4, 0, 3, 4, 2, 4, 2, 2, 1, 2, 1, 4, 2, 3, 3, 2, 1, 1, 3, 0, 2, 1, 4, 0, 0, 3, 4, 1, 0, 2, 0, 3, 4, 3, 3] pubkeycol706 = [2, 2, 1, 4, 3, 4, 4, 3, 3, 0, 0, 4, 2, 1, 1, 2, 1, 1, 2, 2, 3, 4, 2, 2, 0, 3, 3, 3, 1, 3, 4, 3, 2, 1, 2, 3, 1, 3, 1, 1, 2, 2, 1, 1, 2, 2, 0, 4, 0, 3, 4, 0, 3, 0, 3, 0, 2, 1, 2, 0, 1, 1, 4, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 4, 3, 1, 1, 1, 3, 1, 2, 3, 3, 1, 0, 0, 3, 2, 1, 1, 4, 0, 3, 0, 0, 1, 3, 1, 4, 3, 3, 2, 3, 2, 4, 4, 3, 2, 2, 0, 1, 3, 0, 4, 1, 2, 4, 0, 3, 3, 1, 4, 0, 2, 1, 4, 4, 1, 4, 1, 0, 1, 0, 4, 3, 1, 2, 4, 2, 3, 0, 1, 2, 2, 3, 1, 0, 2, 4, 4, 1, 3, 1, 3, 2, 2, 0, 3, 1, 2, 4, 0, 2, 3, 0, 0, 2, 1, 1, 0, 3, 2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 0, 2, 4, 4, 1, 1, 2, 4, 2, 4, 4, 2, 2, 3, 1, 0, 1, 4, 4, 3, 2, 1, 3, 4, 2, 2, 1, 1, 4, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 3, 0, 3, 0, 4, 2, 4, 2, 0, 4, 0, 3, 1, 0, 3, 2, 3, 0, 3, 3, 0, 0, 4, 3, 1, 3, 3, 0, 3, 4, 4, 1, 4, 3, 0, 3, 2, 2, 1, 0, 1, 2, 4, 1, 4, 3, 3, 1, 3, 1, 1, 3, 4, 3, 3, 2, 4, 1, 2, 3, 3, 1, 0, 3, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 3, 3, 0, 3, 3, 1, 2, 3, 1, 1, 4, 1, 0, 0, 1, 0, 0, 4, 0, 1, 4] pubkeycol707 = [4, 1, 3, 1, 3, 1, 4, 3, 1, 1, 4, 3, 0, 3, 0, 0, 2, 1, 3, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 1, 3, 2, 1, 0, 4, 2, 1, 3, 0, 2, 1, 4, 2, 2, 2, 4, 1, 0, 2, 2, 3, 3, 4, 1, 2, 3, 4, 1, 2, 4, 2, 2, 1, 4, 4, 0, 3, 4, 0, 2, 1, 0, 1, 1, 3, 0, 2, 4, 0, 4, 0, 4, 2, 2, 0, 2, 2, 2, 4, 0, 3, 4, 4, 1, 1, 2, 4, 1, 0, 2, 2, 0, 0, 4, 4, 0, 2, 4, 4, 1, 0, 0, 0, 4, 2, 2, 1, 2, 0, 0, 4, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 4, 1, 3, 4, 1, 2, 4, 3, 3, 0, 4, 4, 3, 1, 4, 1, 1, 1, 1, 3, 4, 2, 1, 4, 1, 4, 1, 1, 1, 0, 1, 3, 2, 2, 1, 3, 1, 1, 1, 3, 2, 2, 1, 4, 1, 2, 2, 4, 0, 4, 4, 2, 2, 1, 2, 0, 4, 3, 0, 2, 2, 4, 1, 2, 2, 1, 1, 2, 2, 0, 3, 3, 3, 0, 3, 0, 0, 2, 1, 3, 2, 0, 2, 3, 0, 1, 4, 4, 3, 1, 0, 1, 0, 0, 0, 1, 4, 0, 3, 3, 0, 4, 2, 2, 3, 1, 2, 2, 0, 1, 1, 4, 3, 0, 3, 1, 4, 4, 0, 1, 4, 1, 2, 2, 2, 0, 4, 2, 1, 3, 2, 1, 4, 4, 1, 4, 0, 1, 3, 2, 2, 2, 4, 1, 3, 1, 0, 1, 3, 1, 0, 0, 4, 3, 2, 3, 4, 1, 2, 0, 4, 3, 4, 1, 2, 0, 1, 0, 1, 3, 0, 2, 1, 1, 4, 3, 1, 0, 3, 0, 3, 4, 1, 0, 2, 2, 1, 2, 4] pubkeycol708 = [3, 3, 2, 3, 0, 4, 2, 2, 2, 4, 4, 3, 2, 2, 3, 2, 1, 2, 4, 4, 2, 1, 3, 3, 0, 2, 0, 2, 2, 0, 3, 2, 2, 0, 2, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 2, 1, 4, 3, 0, 4, 1, 0, 2, 3, 3, 0, 2, 4, 1, 4, 1, 3, 3, 4, 0, 3, 4, 2, 4, 1, 3, 2, 3, 2, 4, 1, 1, 4, 2, 2, 4, 1, 2, 3, 1, 1, 3, 0, 2, 4, 0, 2, 2, 4, 1, 1, 0, 0, 2, 4, 2, 0, 2, 0, 2, 2, 0, 4, 1, 4, 0, 0, 4, 3, 1, 4, 3, 4, 3, 0, 2, 4, 4, 0, 4, 2, 4, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 2, 4, 0, 3, 4, 2, 1, 4, 3, 0, 0, 3, 0, 0, 1, 1, 3, 4, 0, 3, 3, 3, 0, 3, 1, 4, 3, 3, 2, 2, 1, 1, 1, 2, 4, 4, 4, 2, 1, 4, 0, 4, 3, 3, 1, 1, 4, 2, 3, 3, 3, 4, 4, 4, 3, 1, 0, 3, 1, 0, 2, 1, 4, 3, 1, 4, 2, 4, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 1, 4, 1, 3, 1, 3, 4, 0, 0, 2, 2, 2, 1, 3, 4, 2, 0, 4, 2, 2, 4, 1, 1, 3, 4, 3, 0, 4, 1, 0, 1, 0, 0, 0, 0, 3, 1, 4, 2, 1, 1, 2, 2, 3, 4, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 3, 2, 1, 4, 3, 2, 2, 3, 0, 3, 4, 2, 1, 4, 0, 1, 2, 3, 0, 0, 3, 0, 3, 0, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 4, 4, 1, 4, 1, 3, 1, 1, 2, 2, 3, 1, 1, 1] pubkeycol709 = [4, 1, 0, 2, 3, 3, 4, 0, 1, 2, 2, 3, 2, 4, 4, 3, 1, 3, 2, 3, 2, 4, 4, 0, 2, 4, 4, 2, 3, 0, 2, 0, 1, 1, 1, 0, 0, 1, 3, 3, 2, 3, 4, 0, 3, 4, 2, 4, 4, 1, 3, 1, 3, 4, 1, 1, 2, 1, 0, 1, 2, 4, 4, 0, 1, 4, 0, 4, 0, 2, 2, 2, 3, 0, 2, 0, 2, 0, 3, 2, 2, 1, 2, 1, 4, 1, 1, 1, 3, 0, 4, 4, 2, 4, 1, 0, 3, 4, 4, 0, 4, 4, 0, 3, 0, 1, 2, 1, 0, 3, 2, 2, 4, 0, 0, 4, 0, 3, 0, 3, 3, 3, 0, 2, 3, 2, 4, 1, 0, 0, 4, 0, 2, 1, 1, 0, 4, 2, 0, 4, 1, 1, 3, 3, 3, 3, 4, 3, 1, 4, 1, 3, 4, 2, 0, 2, 4, 1, 4, 3, 4, 0, 1, 4, 1, 1, 3, 3, 3, 0, 4, 3, 0, 3, 3, 3, 4, 3, 1, 3, 2, 3, 1, 2, 2, 1, 1, 3, 3, 3, 0, 1, 3, 2, 0, 2, 0, 0, 2, 3, 0, 3, 0, 4, 2, 0, 2, 1, 1, 4, 2, 1, 3, 0, 3, 1, 3, 4, 3, 0, 2, 1, 0, 3, 2, 0, 4, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 4, 3, 3, 1, 1, 4, 1, 0, 0, 2, 2, 4, 3, 1, 3, 1, 0, 2, 1, 3, 1, 2, 3, 2, 0, 0, 2, 1, 0, 4, 0, 0, 1, 4, 0, 3, 1, 3, 3, 2, 1, 4, 4, 2, 3, 3, 2, 1, 2, 4, 4, 3, 2, 0, 1, 1, 0, 0, 2, 4, 4, 0, 4, 1, 2, 4, 3, 0, 0, 1, 1, 4, 2, 4, 3, 4, 3, 0, 0, 1, 1, 3, 3] pubkeycol710 = [4, 1, 0, 1, 1, 3, 0, 1, 0, 2, 1, 0, 3, 1, 0, 3, 1, 4, 4, 1, 1, 0, 0, 0, 3, 0, 3, 0, 1, 3, 3, 3, 3, 0, 2, 4, 0, 3, 0, 4, 3, 3, 1, 0, 1, 1, 0, 4, 4, 2, 2, 4, 2, 1, 4, 0, 2, 2, 0, 0, 3, 4, 1, 4, 1, 2, 2, 1, 2, 3, 3, 3, 2, 4, 2, 4, 1, 4, 2, 1, 0, 0, 0, 1, 1, 3, 1, 2, 3, 3, 3, 4, 4, 0, 3, 0, 1, 4, 3, 3, 1, 0, 2, 3, 0, 3, 1, 0, 2, 1, 1, 2, 3, 3, 3, 3, 1, 1, 4, 2, 4, 2, 0, 0, 3, 0, 0, 4, 3, 3, 2, 4, 4, 4, 3, 4, 0, 3, 0, 2, 4, 2, 0, 0, 4, 1, 2, 3, 2, 4, 0, 0, 1, 4, 0, 3, 2, 0, 4, 2, 1, 3, 3, 3, 1, 3, 0, 4, 0, 0, 1, 3, 4, 3, 4, 2, 3, 2, 4, 4, 0, 3, 3, 3, 2, 4, 2, 3, 1, 2, 2, 3, 2, 3, 0, 3, 3, 4, 0, 2, 1, 2, 3, 3, 4, 1, 4, 4, 3, 4, 1, 2, 0, 3, 4, 1, 2, 2, 4, 1, 4, 3, 0, 0, 1, 1, 2, 1, 0, 0, 2, 3, 0, 4, 2, 1, 4, 3, 3, 3, 2, 2, 3, 2, 1, 3, 0, 4, 3, 1, 0, 0, 2, 0, 1, 2, 3, 3, 2, 3, 1, 2, 2, 0, 1, 3, 0, 3, 4, 2, 4, 1, 0, 1, 0, 4, 0, 1, 4, 0, 1, 1, 2, 0, 4, 3, 0, 1, 2, 1, 2, 2, 0, 4, 0, 0, 3, 1, 1, 0, 2, 4, 3, 1, 4, 1, 3, 1, 2, 4, 3, 4, 3, 3, 0, 1, 2, 3, 2, 2] pubkeycol711 = [3, 2, 2, 1, 3, 3, 1, 3, 3, 0, 3, 1, 0, 1, 0, 3, 1, 2, 2, 4, 3, 1, 3, 1, 1, 3, 3, 4, 3, 4, 3, 1, 3, 2, 1, 1, 0, 4, 0, 0, 3, 1, 2, 0, 2, 1, 4, 1, 3, 0, 0, 4, 2, 2, 4, 1, 2, 4, 3, 4, 4, 1, 4, 1, 4, 2, 3, 1, 3, 3, 1, 4, 0, 4, 3, 1, 4, 3, 3, 3, 2, 3, 0, 2, 3, 0, 2, 0, 0, 2, 3, 4, 4, 3, 4, 0, 2, 0, 0, 4, 4, 2, 3, 2, 1, 1, 1, 1, 2, 4, 3, 2, 4, 0, 2, 2, 3, 3, 3, 2, 1, 0, 3, 4, 1, 0, 1, 4, 3, 2, 0, 4, 1, 0, 3, 4, 0, 0, 3, 2, 2, 2, 4, 4, 1, 4, 2, 1, 0, 3, 3, 1, 4, 3, 2, 1, 3, 0, 0, 2, 3, 4, 1, 0, 0, 1, 0, 2, 2, 3, 3, 1, 4, 0, 0, 4, 1, 0, 0, 0, 1, 2, 3, 3, 1, 2, 2, 0, 1, 3, 3, 4, 1, 2, 4, 2, 0, 0, 4, 0, 3, 0, 3, 0, 0, 1, 1, 1, 0, 2, 2, 0, 4, 4, 2, 1, 2, 4, 3, 3, 2, 1, 4, 4, 3, 1, 2, 3, 0, 3, 3, 3, 3, 2, 0, 0, 3, 0, 4, 3, 0, 2, 3, 2, 0, 1, 1, 4, 1, 2, 3, 0, 2, 3, 0, 1, 0, 0, 0, 4, 0, 1, 1, 1, 4, 0, 0, 1, 0, 0, 2, 2, 2, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 1, 3, 0, 3, 4, 4, 3, 2, 0, 2, 1, 0, 2, 1, 4, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 3, 4, 2, 1, 2, 3, 4, 0, 2, 0, 1, 3] pubkeycol712 = [0, 3, 4, 2, 0, 4, 1, 1, 4, 2, 4, 3, 3, 2, 0, 2, 4, 3, 0, 3, 0, 1, 2, 0, 1, 0, 1, 3, 4, 4, 1, 1, 4, 0, 4, 2, 3, 2, 2, 4, 0, 0, 1, 4, 4, 4, 1, 2, 1, 4, 1, 2, 3, 4, 4, 1, 1, 3, 1, 1, 3, 3, 2, 0, 2, 1, 4, 3, 1, 1, 0, 1, 2, 3, 1, 3, 1, 1, 1, 4, 4, 4, 3, 0, 4, 4, 0, 4, 1, 1, 0, 1, 2, 2, 3, 2, 4, 2, 3, 3, 1, 3, 0, 0, 0, 4, 2, 4, 1, 4, 3, 3, 0, 0, 3, 4, 4, 3, 4, 4, 0, 3, 1, 0, 1, 0, 1, 3, 4, 2, 1, 1, 4, 0, 3, 3, 0, 4, 1, 2, 2, 1, 4, 1, 3, 4, 0, 1, 3, 0, 4, 3, 4, 4, 3, 4, 1, 0, 3, 4, 4, 3, 2, 0, 0, 1, 1, 3, 0, 2, 1, 2, 3, 4, 2, 4, 0, 3, 2, 4, 4, 2, 2, 2, 2, 2, 1, 4, 3, 3, 2, 2, 3, 1, 4, 4, 2, 0, 3, 4, 2, 0, 2, 4, 0, 2, 3, 1, 4, 0, 1, 1, 3, 3, 0, 2, 4, 4, 3, 2, 4, 0, 3, 1, 4, 3, 2, 0, 1, 4, 1, 3, 3, 3, 4, 0, 2, 0, 0, 4, 0, 4, 1, 0, 1, 3, 1, 3, 1, 2, 3, 4, 1, 0, 2, 3, 0, 3, 2, 1, 3, 2, 1, 4, 1, 3, 4, 3, 1, 0, 3, 0, 1, 0, 2, 4, 0, 0, 3, 2, 2, 2, 4, 4, 1, 0, 2, 2, 0, 4, 2, 4, 0, 3, 1, 0, 2, 3, 3, 1, 0, 0, 0, 1, 4, 0, 3, 1, 3, 0, 3, 2, 3, 1, 4, 0, 1, 4, 4, 1] pubkeycol713 = [3, 1, 4, 2, 4, 4, 3, 4, 4, 4, 3, 3, 4, 1, 2, 2, 2, 1, 2, 1, 4, 3, 1, 2, 3, 3, 4, 0, 4, 3, 0, 0, 2, 0, 0, 2, 2, 0, 4, 0, 4, 2, 2, 2, 2, 1, 1, 1, 4, 3, 0, 1, 2, 2, 1, 2, 3, 2, 1, 3, 4, 2, 1, 3, 3, 0, 0, 0, 4, 3, 2, 3, 4, 4, 1, 3, 3, 1, 1, 3, 1, 4, 3, 3, 1, 0, 1, 4, 4, 4, 4, 4, 4, 1, 3, 3, 0, 0, 3, 3, 2, 0, 4, 0, 0, 0, 2, 1, 0, 2, 3, 0, 2, 1, 1, 0, 0, 2, 0, 1, 4, 3, 3, 3, 3, 2, 1, 1, 4, 3, 2, 1, 3, 3, 1, 1, 3, 2, 4, 4, 1, 2, 0, 0, 3, 3, 2, 1, 1, 3, 3, 2, 1, 4, 0, 4, 0, 1, 4, 4, 4, 1, 3, 4, 4, 3, 1, 0, 3, 3, 3, 2, 3, 3, 4, 3, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 4, 2, 0, 0, 4, 0, 1, 2, 3, 1, 4, 1, 1, 4, 0, 1, 0, 4, 1, 1, 0, 1, 4, 0, 1, 4, 2, 3, 4, 4, 3, 4, 0, 4, 3, 4, 0, 0, 2, 1, 1, 1, 2, 3, 0, 2, 2, 1, 3, 1, 2, 2, 2, 3, 0, 3, 0, 4, 2, 2, 2, 2, 0, 1, 1, 1, 1, 4, 3, 0, 2, 2, 4, 3, 2, 4, 1, 2, 3, 2, 2, 3, 0, 0, 4, 2, 2, 2, 0, 1, 4, 3, 1, 0, 4, 0, 1, 1, 2, 3, 2, 4, 4, 3, 2, 0, 1, 0, 2, 2, 2, 3, 2, 2, 4, 1, 3, 2, 0, 3, 2, 4, 3, 0, 0, 0, 2, 4, 1, 1, 1, 1, 0, 1] pubkeycol714 = [0, 1, 0, 2, 0, 4, 3, 2, 2, 2, 1, 4, 3, 2, 2, 0, 3, 3, 2, 0, 0, 0, 4, 3, 0, 2, 4, 1, 2, 3, 2, 0, 2, 2, 3, 2, 0, 2, 1, 2, 0, 1, 4, 3, 1, 3, 1, 0, 2, 0, 2, 1, 2, 1, 1, 3, 1, 1, 3, 3, 4, 2, 4, 4, 3, 0, 3, 0, 4, 0, 1, 1, 4, 2, 0, 4, 4, 1, 2, 2, 3, 3, 2, 0, 0, 1, 4, 3, 2, 0, 1, 1, 3, 0, 2, 0, 2, 2, 2, 4, 1, 3, 3, 4, 1, 4, 1, 0, 4, 3, 1, 0, 2, 4, 0, 3, 0, 0, 4, 0, 3, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 1, 2, 4, 1, 4, 4, 1, 3, 0, 3, 2, 1, 2, 0, 2, 0, 2, 4, 2, 0, 1, 1, 3, 3, 3, 2, 1, 4, 3, 2, 2, 2, 3, 0, 2, 0, 2, 3, 0, 2, 1, 2, 0, 3, 0, 2, 1, 2, 3, 2, 4, 0, 1, 0, 1, 4, 0, 3, 0, 4, 0, 2, 4, 1, 3, 2, 3, 4, 3, 3, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 3, 1, 4, 3, 0, 4, 0, 3, 3, 1, 1, 0, 1, 2, 0, 3, 1, 4, 2, 0, 1, 0, 0, 3, 0, 1, 0, 0, 4, 2, 2, 4, 0, 0, 3, 3, 4, 3, 0, 1, 1, 2, 1, 1, 3, 1, 3, 0, 0, 0, 2, 2, 0, 3, 1, 1, 2, 2, 4, 2, 4, 0, 2, 2, 3, 1, 0, 1, 1, 1, 2, 3, 2, 1, 1, 0, 1, 0, 0, 3, 4, 2, 4, 2, 4, 4, 3, 1, 0, 2, 0, 1, 3, 3, 0, 1, 2, 2, 0, 0, 1, 2, 0, 3, 0, 3, 0, 0, 3] pubkeycol715 = [1, 3, 1, 1, 1, 1, 4, 0, 0, 4, 4, 3, 4, 3, 2, 2, 3, 1, 4, 0, 3, 0, 4, 1, 1, 4, 3, 4, 4, 1, 1, 2, 0, 4, 3, 2, 1, 3, 3, 2, 3, 3, 4, 3, 1, 0, 3, 4, 0, 0, 0, 1, 1, 3, 2, 2, 0, 3, 4, 3, 0, 3, 4, 1, 3, 4, 4, 1, 1, 4, 4, 2, 1, 3, 4, 0, 2, 1, 0, 2, 4, 3, 3, 0, 3, 4, 0, 3, 4, 0, 2, 2, 3, 1, 2, 0, 3, 3, 2, 1, 3, 1, 4, 2, 0, 0, 2, 1, 0, 4, 1, 3, 4, 1, 2, 2, 3, 4, 4, 4, 0, 4, 3, 4, 4, 2, 1, 3, 1, 4, 4, 2, 3, 4, 0, 1, 2, 3, 3, 3, 1, 3, 1, 2, 2, 4, 2, 3, 0, 3, 0, 4, 3, 0, 4, 0, 2, 1, 3, 4, 1, 3, 3, 1, 4, 3, 0, 2, 1, 2, 4, 2, 4, 1, 4, 4, 4, 0, 3, 2, 0, 4, 1, 2, 1, 4, 0, 2, 3, 2, 1, 2, 0, 3, 1, 4, 1, 3, 3, 2, 1, 1, 3, 1, 1, 0, 4, 2, 1, 2, 4, 4, 4, 2, 0, 0, 0, 2, 1, 3, 4, 4, 0, 0, 1, 4, 4, 4, 4, 3, 2, 3, 0, 3, 1, 1, 0, 3, 0, 1, 3, 3, 0, 4, 1, 3, 4, 0, 0, 1, 4, 0, 4, 0, 0, 4, 2, 2, 4, 2, 4, 2, 0, 2, 3, 1, 0, 2, 3, 0, 4, 3, 4, 2, 3, 2, 0, 1, 0, 1, 1, 1, 2, 3, 4, 1, 0, 0, 2, 1, 3, 1, 0, 2, 4, 3, 4, 0, 3, 1, 4, 3, 2, 0, 4, 3, 0, 3, 2, 1, 2, 2, 4, 3, 0, 2, 1, 4, 4, 2] pubkeycol716 = [3, 4, 1, 0, 1, 2, 3, 4, 1, 3, 4, 0, 2, 0, 1, 0, 3, 2, 2, 4, 3, 0, 3, 0, 2, 1, 0, 0, 3, 2, 3, 3, 4, 0, 4, 0, 4, 3, 2, 1, 4, 2, 4, 3, 2, 0, 0, 1, 1, 3, 4, 4, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 3, 1, 0, 4, 4, 4, 1, 0, 1, 3, 0, 4, 3, 1, 1, 4, 4, 2, 0, 1, 4, 4, 4, 2, 2, 4, 3, 1, 0, 4, 0, 2, 1, 4, 0, 2, 0, 2, 3, 0, 1, 3, 4, 4, 0, 3, 2, 3, 3, 2, 0, 1, 3, 3, 3, 3, 3, 0, 3, 2, 1, 4, 0, 2, 1, 1, 4, 4, 4, 3, 4, 3, 0, 3, 2, 1, 1, 2, 2, 4, 4, 3, 2, 2, 4, 4, 4, 0, 1, 4, 1, 1, 0, 4, 0, 3, 3, 1, 0, 1, 2, 4, 2, 4, 3, 0, 0, 0, 0, 1, 3, 4, 2, 4, 2, 0, 0, 4, 3, 1, 3, 1, 2, 4, 4, 4, 4, 1, 1, 4, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 3, 2, 2, 4, 0, 0, 4, 4, 0, 1, 0, 1, 3, 2, 0, 2, 0, 4, 3, 2, 3, 1, 3, 3, 1, 4, 3, 2, 0, 4, 0, 2, 1, 1, 1, 4, 1, 4, 0, 0, 2, 1, 3, 0, 2, 2, 0, 4, 0, 0, 0, 0, 1, 2, 0, 3, 1, 0, 1, 3, 0, 2, 4, 3, 1, 2, 2, 4, 2, 2, 1, 4, 0, 1, 2, 1, 2, 3, 1, 3, 1, 0, 2, 3, 0, 4, 0, 3, 3, 3, 4, 1, 1, 3, 2, 2, 0, 4, 2, 1, 1, 2, 4, 4, 2, 2, 1, 3, 2, 4, 0, 3, 0, 4, 4, 2, 4, 1] pubkeycol717 = [0, 4, 3, 1, 3, 3, 3, 4, 0, 3, 4, 1, 3, 0, 3, 4, 1, 2, 1, 2, 2, 4, 1, 2, 3, 1, 3, 2, 1, 3, 1, 1, 3, 4, 3, 1, 2, 3, 0, 2, 1, 2, 2, 4, 2, 3, 3, 0, 3, 3, 0, 2, 3, 2, 2, 4, 3, 1, 2, 3, 4, 3, 1, 1, 0, 4, 3, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 2, 2, 2, 3, 0, 3, 4, 2, 1, 4, 3, 0, 4, 2, 2, 1, 3, 3, 4, 3, 0, 0, 2, 0, 0, 1, 4, 1, 2, 2, 4, 4, 4, 0, 0, 3, 0, 2, 4, 4, 2, 0, 1, 4, 3, 0, 3, 4, 3, 4, 3, 0, 4, 0, 3, 1, 1, 0, 1, 4, 0, 3, 3, 3, 1, 1, 0, 1, 0, 3, 2, 3, 0, 4, 2, 0, 1, 1, 0, 4, 0, 1, 4, 3, 4, 3, 2, 4, 1, 0, 4, 0, 3, 4, 0, 0, 2, 3, 1, 3, 2, 3, 4, 3, 1, 1, 2, 4, 4, 3, 0, 1, 0, 2, 0, 3, 4, 3, 2, 0, 2, 4, 3, 1, 3, 4, 2, 3, 2, 4, 1, 1, 0, 3, 2, 1, 1, 1, 3, 4, 4, 1, 2, 4, 3, 4, 3, 1, 1, 1, 2, 0, 0, 0, 2, 0, 3, 4, 1, 2, 0, 0, 3, 3, 1, 4, 1, 0, 2, 2, 3, 3, 4, 1, 4, 3, 2, 3, 4, 4, 4, 0, 1, 2, 0, 0, 4, 3, 2, 1, 3, 3, 2, 3, 4, 3, 2, 4, 3, 2, 1, 3, 2, 0, 1, 1, 4, 3, 3, 1, 0, 4, 3, 2, 3, 1, 2, 3, 0, 2, 2, 2, 3, 1, 0, 2, 4, 0, 2, 0, 3, 4, 3, 1, 4, 0, 0, 2] pubkeycol718 = [4, 4, 2, 0, 3, 1, 3, 0, 4, 0, 3, 2, 0, 1, 0, 4, 2, 2, 0, 2, 3, 3, 0, 0, 4, 0, 0, 1, 4, 0, 2, 2, 0, 0, 0, 4, 2, 0, 3, 2, 0, 2, 1, 1, 1, 4, 3, 2, 4, 4, 0, 3, 1, 4, 3, 3, 4, 3, 2, 1, 0, 3, 0, 1, 2, 2, 4, 0, 2, 0, 4, 3, 0, 0, 2, 0, 0, 2, 3, 0, 1, 2, 3, 0, 3, 4, 2, 4, 1, 2, 4, 2, 1, 0, 3, 3, 0, 4, 2, 2, 0, 3, 1, 4, 4, 3, 4, 4, 1, 0, 3, 3, 4, 0, 4, 2, 2, 0, 0, 0, 2, 0, 3, 3, 0, 3, 0, 1, 2, 4, 0, 1, 3, 1, 3, 3, 3, 0, 3, 1, 0, 3, 3, 2, 3, 2, 3, 0, 0, 2, 0, 4, 4, 0, 2, 2, 1, 3, 4, 2, 1, 2, 0, 0, 2, 2, 2, 3, 0, 3, 4, 0, 1, 2, 0, 3, 4, 4, 1, 4, 1, 1, 2, 0, 4, 2, 1, 1, 4, 2, 2, 3, 3, 2, 3, 0, 3, 1, 4, 2, 3, 3, 3, 4, 0, 1, 3, 4, 4, 0, 4, 3, 1, 3, 1, 3, 1, 3, 4, 2, 4, 4, 3, 1, 3, 2, 3, 4, 1, 0, 3, 1, 3, 3, 4, 4, 1, 4, 0, 3, 4, 3, 4, 2, 1, 3, 3, 2, 3, 3, 2, 1, 3, 1, 0, 4, 3, 3, 0, 3, 0, 1, 3, 3, 4, 3, 2, 1, 1, 4, 4, 2, 0, 1, 2, 4, 4, 1, 3, 4, 4, 0, 0, 2, 1, 1, 3, 1, 4, 4, 0, 2, 3, 1, 4, 3, 2, 4, 3, 4, 0, 3, 2, 1, 1, 3, 0, 1, 3, 0, 1, 3, 0, 4, 0, 1, 1, 0, 2, 3] pubkeycol719 = [0, 4, 2, 0, 0, 3, 3, 2, 4, 2, 4, 1, 4, 1, 4, 0, 3, 4, 0, 3, 1, 4, 2, 3, 3, 0, 3, 0, 3, 3, 0, 4, 1, 4, 2, 3, 0, 3, 1, 4, 0, 3, 0, 2, 0, 4, 2, 2, 0, 3, 4, 0, 3, 0, 4, 4, 4, 2, 1, 3, 1, 3, 4, 0, 4, 2, 4, 1, 4, 2, 0, 3, 4, 3, 0, 4, 2, 4, 4, 1, 4, 2, 3, 3, 0, 2, 1, 3, 3, 3, 4, 1, 4, 1, 3, 4, 2, 3, 0, 2, 4, 4, 3, 4, 1, 4, 0, 0, 0, 4, 1, 3, 4, 0, 1, 2, 2, 4, 0, 4, 1, 4, 0, 2, 4, 2, 3, 0, 1, 0, 3, 1, 1, 1, 1, 4, 3, 4, 2, 4, 4, 4, 3, 2, 2, 2, 2, 1, 0, 3, 1, 1, 3, 2, 1, 0, 2, 4, 4, 0, 2, 1, 2, 1, 4, 4, 4, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 3, 1, 0, 3, 1, 1, 1, 2, 4, 4, 4, 3, 0, 3, 1, 3, 3, 3, 2, 4, 4, 4, 3, 3, 2, 2, 0, 2, 1, 3, 1, 3, 2, 4, 3, 3, 1, 4, 2, 1, 0, 0, 2, 0, 3, 3, 0, 3, 1, 2, 3, 4, 4, 3, 1, 4, 4, 0, 2, 1, 3, 1, 2, 0, 0, 1, 3, 2, 2, 2, 3, 0, 0, 1, 3, 1, 3, 1, 4, 1, 2, 2, 3, 1, 4, 4, 1, 2, 4, 2, 1, 3, 1, 2, 2, 1, 4, 3, 4, 1, 0, 4, 4, 0, 0, 2, 2, 0, 4, 3, 4, 3, 3, 1, 2, 2, 0, 0, 0, 4, 4, 4, 2, 0, 0, 1, 1, 4, 1, 1, 4, 2, 0, 0, 4, 1, 3] pubkeycol720 = [4, 4, 2, 1, 3, 3, 1, 4, 0, 1, 0, 2, 2, 3, 1, 4, 4, 2, 0, 2, 2, 0, 2, 3, 4, 0, 2, 1, 0, 1, 0, 1, 3, 2, 3, 4, 2, 2, 3, 1, 3, 2, 2, 0, 1, 1, 4, 3, 0, 3, 0, 3, 4, 3, 3, 0, 4, 3, 0, 3, 3, 4, 1, 1, 0, 4, 3, 0, 0, 1, 2, 4, 4, 1, 3, 0, 0, 2, 4, 1, 0, 4, 3, 3, 1, 3, 4, 3, 4, 3, 1, 0, 1, 2, 3, 3, 3, 4, 1, 0, 4, 3, 0, 2, 0, 4, 4, 4, 4, 3, 2, 1, 3, 3, 0, 4, 4, 1, 4, 0, 2, 4, 2, 4, 2, 4, 2, 0, 3, 0, 2, 3, 0, 3, 4, 0, 3, 2, 0, 2, 3, 2, 4, 1, 1, 0, 1, 1, 0, 4, 2, 4, 3, 1, 2, 2, 2, 2, 0, 3, 1, 3, 0, 1, 2, 2, 2, 0, 1, 0, 2, 3, 2, 3, 3, 2, 4, 0, 0, 4, 0, 0, 3, 0, 4, 4, 3, 2, 3, 0, 2, 2, 4, 1, 3, 0, 3, 3, 2, 4, 3, 3, 0, 2, 2, 2, 1, 1, 4, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 3, 1, 1, 4, 0, 0, 1, 0, 3, 1, 1, 0, 1, 0, 0, 1, 4, 4, 1, 4, 3, 2, 2, 1, 1, 2, 3, 0, 2, 3, 1, 1, 1, 1, 4, 3, 1, 4, 1, 4, 1, 1, 1, 2, 0, 0, 1, 1, 1, 3, 0, 0, 4, 3, 3, 4, 3, 2, 4, 1, 1, 3, 4, 0, 4, 3, 4, 1, 3, 3, 4, 0, 1, 3, 1, 3, 1, 0, 2, 4, 0, 1, 0, 0, 0, 1, 4, 0, 0, 1, 4, 3, 3, 2, 0] pubkeycol721 = [1, 0, 4, 4, 2, 0, 2, 2, 1, 4, 0, 1, 2, 2, 3, 3, 1, 4, 4, 3, 1, 2, 1, 4, 2, 3, 0, 0, 0, 4, 3, 2, 1, 4, 2, 2, 0, 3, 0, 3, 0, 1, 1, 4, 1, 0, 2, 3, 1, 2, 0, 4, 4, 4, 1, 1, 3, 2, 4, 3, 4, 1, 1, 2, 3, 2, 3, 4, 0, 4, 0, 1, 3, 3, 2, 0, 2, 2, 4, 1, 2, 0, 2, 3, 3, 2, 0, 0, 3, 0, 4, 4, 2, 4, 3, 3, 0, 2, 3, 4, 4, 1, 3, 0, 0, 3, 0, 2, 3, 2, 0, 3, 4, 2, 0, 1, 4, 2, 3, 4, 1, 2, 2, 3, 1, 1, 2, 1, 2, 1, 2, 3, 3, 3, 4, 0, 2, 0, 4, 0, 1, 2, 3, 4, 3, 2, 4, 4, 3, 4, 1, 0, 2, 4, 1, 4, 0, 0, 2, 3, 0, 1, 1, 0, 0, 1, 3, 0, 3, 3, 0, 1, 2, 0, 0, 1, 2, 0, 3, 4, 0, 4, 4, 1, 3, 1, 1, 4, 2, 1, 0, 0, 3, 0, 3, 0, 4, 1, 1, 0, 2, 2, 0, 3, 2, 0, 3, 4, 4, 3, 0, 4, 1, 0, 1, 3, 0, 1, 0, 2, 4, 2, 1, 0, 3, 1, 3, 4, 1, 4, 1, 3, 3, 2, 2, 4, 3, 3, 0, 3, 2, 1, 4, 1, 4, 3, 1, 4, 2, 2, 4, 4, 1, 1, 2, 3, 0, 2, 1, 0, 0, 4, 3, 1, 4, 3, 2, 1, 4, 1, 1, 0, 0, 0, 1, 1, 2, 1, 4, 2, 2, 3, 0, 4, 3, 0, 1, 3, 3, 1, 3, 4, 1, 3, 0, 2, 0, 1, 2, 1, 4, 1, 0, 2, 2, 0, 3, 3, 3, 0, 0, 1, 4, 0, 2, 1, 3, 1, 0, 2] pubkeycol722 = [4, 0, 1, 2, 3, 0, 0, 0, 0, 4, 1, 4, 0, 3, 2, 3, 0, 3, 3, 4, 2, 1, 3, 4, 2, 3, 1, 1, 4, 3, 0, 3, 4, 1, 2, 2, 0, 4, 0, 1, 1, 4, 2, 1, 0, 0, 0, 1, 2, 2, 3, 0, 3, 1, 1, 4, 2, 1, 1, 3, 1, 4, 3, 2, 1, 4, 3, 0, 1, 1, 2, 4, 3, 4, 2, 4, 1, 1, 0, 1, 4, 1, 4, 3, 4, 2, 0, 1, 4, 4, 1, 2, 3, 1, 0, 4, 0, 3, 2, 4, 0, 0, 3, 2, 0, 4, 4, 4, 1, 0, 4, 1, 0, 2, 3, 0, 0, 3, 4, 2, 3, 1, 2, 1, 2, 2, 0, 4, 2, 4, 4, 4, 3, 3, 2, 3, 2, 3, 4, 2, 3, 4, 1, 2, 0, 4, 0, 3, 1, 3, 0, 1, 0, 1, 4, 3, 2, 1, 3, 4, 2, 0, 1, 0, 0, 3, 1, 2, 0, 4, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 3, 0, 0, 4, 4, 3, 2, 0, 1, 1, 4, 0, 3, 1, 2, 0, 1, 0, 1, 3, 4, 2, 4, 2, 2, 1, 0, 0, 1, 3, 3, 0, 4, 3, 2, 0, 2, 3, 3, 4, 2, 1, 4, 0, 1, 4, 3, 0, 0, 1, 0, 1, 2, 0, 0, 2, 4, 4, 2, 0, 0, 2, 2, 0, 4, 3, 1, 1, 3, 1, 1, 4, 0, 1, 4, 1, 1, 3, 1, 2, 2, 3, 2, 3, 1, 4, 3, 2, 1, 3, 1, 0, 1, 0, 3, 4, 4, 4, 2, 3, 2, 1, 2, 3, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 3, 3, 0, 2, 4, 2, 1, 2, 2, 4, 2, 0, 4, 2, 1, 0] pubkeycol723 = [2, 0, 0, 1, 2, 4, 3, 4, 0, 0, 3, 0, 3, 2, 0, 0, 3, 4, 0, 1, 0, 0, 0, 3, 3, 0, 2, 0, 0, 2, 3, 2, 1, 4, 4, 2, 2, 2, 2, 3, 4, 2, 2, 3, 3, 0, 1, 2, 2, 0, 4, 3, 0, 0, 0, 2, 0, 3, 0, 2, 0, 3, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 2, 3, 3, 1, 1, 0, 2, 4, 1, 2, 0, 0, 1, 3, 0, 1, 2, 2, 0, 1, 4, 1, 2, 4, 2, 1, 3, 1, 2, 4, 3, 0, 0, 2, 3, 4, 3, 3, 4, 0, 4, 1, 3, 4, 1, 0, 2, 2, 0, 4, 0, 3, 0, 2, 3, 3, 3, 4, 3, 4, 1, 4, 2, 0, 3, 3, 4, 2, 2, 1, 2, 4, 0, 4, 4, 0, 4, 2, 0, 2, 3, 0, 1, 3, 0, 2, 3, 0, 0, 2, 0, 4, 3, 1, 2, 2, 4, 2, 1, 1, 4, 4, 1, 2, 4, 2, 0, 0, 3, 2, 1, 4, 3, 0, 4, 3, 2, 1, 4, 1, 2, 0, 3, 2, 3, 1, 4, 3, 0, 0, 3, 4, 1, 0, 2, 0, 2, 3, 2, 2, 4, 4, 3, 0, 1, 3, 1, 3, 3, 2, 4, 2, 3, 1, 2, 1, 3, 3, 3, 4, 3, 2, 4, 2, 0, 2, 2, 1, 4, 1, 3, 2, 0, 2, 0, 2, 3, 3, 3, 0, 3, 3, 2, 2, 3, 2, 0, 1, 2, 4, 2, 1, 3, 0, 2, 4, 0, 3, 2, 0, 3, 0, 2, 1, 0, 1, 4, 3, 0, 0, 3, 2, 0, 4, 4, 3, 0, 3, 4, 0, 4, 2, 0, 3, 2, 1, 0, 2, 1, 0, 3, 3, 3, 2, 2, 2, 0, 1, 0, 4, 0, 0, 4, 4, 1, 4, 0, 2] pubkeycol724 = [4, 4, 3, 2, 4, 4, 0, 3, 0, 2, 1, 4, 4, 0, 0, 1, 0, 1, 3, 3, 4, 1, 1, 4, 2, 4, 4, 0, 2, 4, 2, 4, 0, 0, 0, 1, 1, 3, 2, 3, 1, 3, 0, 1, 2, 4, 1, 4, 4, 4, 3, 2, 1, 3, 2, 4, 2, 0, 3, 3, 3, 0, 0, 0, 4, 3, 2, 4, 1, 1, 1, 1, 4, 2, 3, 2, 0, 3, 4, 0, 4, 0, 4, 4, 2, 0, 0, 3, 2, 4, 4, 0, 2, 4, 4, 4, 0, 3, 2, 1, 0, 1, 1, 0, 0, 3, 3, 1, 3, 0, 1, 1, 3, 3, 4, 3, 1, 3, 0, 3, 4, 4, 2, 1, 0, 2, 0, 4, 3, 4, 2, 1, 3, 3, 3, 4, 2, 2, 4, 3, 2, 2, 3, 3, 2, 1, 0, 3, 2, 1, 0, 1, 4, 2, 2, 4, 3, 4, 0, 1, 2, 2, 2, 1, 2, 3, 3, 3, 4, 0, 0, 2, 2, 2, 4, 0, 4, 1, 4, 1, 4, 2, 3, 1, 0, 1, 0, 4, 2, 4, 1, 4, 3, 2, 4, 3, 0, 1, 1, 4, 2, 4, 1, 0, 4, 0, 2, 4, 3, 4, 4, 2, 2, 2, 3, 1, 0, 2, 0, 0, 1, 0, 3, 0, 1, 4, 4, 0, 2, 1, 2, 0, 1, 3, 4, 0, 0, 4, 3, 1, 0, 1, 2, 2, 4, 1, 0, 2, 1, 0, 2, 4, 3, 0, 1, 2, 4, 1, 4, 2, 2, 3, 3, 0, 3, 0, 1, 4, 3, 4, 0, 3, 3, 0, 4, 1, 4, 3, 2, 0, 1, 4, 0, 3, 0, 0, 3, 4, 1, 0, 1, 2, 4, 2, 3, 2, 1, 4, 4, 0, 0, 0, 1, 4, 2, 4, 4, 3, 2, 3, 2, 2, 3, 0, 4, 1, 0, 4, 0, 0] pubkeycol725 = [4, 2, 0, 4, 2, 1, 0, 4, 2, 0, 4, 3, 1, 3, 3, 2, 1, 2, 2, 2, 0, 2, 3, 3, 4, 4, 4, 2, 0, 1, 4, 0, 4, 4, 4, 0, 4, 3, 4, 3, 0, 4, 2, 0, 0, 4, 4, 3, 1, 2, 1, 2, 0, 3, 3, 2, 4, 3, 3, 2, 4, 2, 0, 4, 0, 4, 0, 0, 4, 1, 2, 3, 3, 2, 4, 3, 1, 4, 2, 0, 2, 1, 0, 2, 3, 1, 0, 2, 0, 3, 4, 3, 2, 2, 3, 1, 0, 0, 2, 4, 1, 4, 3, 0, 2, 3, 3, 1, 1, 1, 1, 0, 4, 4, 3, 4, 2, 2, 0, 4, 4, 0, 0, 3, 3, 2, 0, 4, 1, 0, 1, 4, 1, 4, 1, 2, 4, 2, 1, 3, 3, 2, 0, 4, 2, 2, 1, 2, 0, 4, 4, 4, 0, 3, 0, 0, 1, 2, 1, 1, 0, 4, 3, 4, 0, 0, 0, 0, 0, 4, 3, 2, 1, 3, 0, 4, 0, 2, 0, 4, 1, 0, 4, 2, 1, 2, 1, 3, 1, 2, 2, 3, 2, 1, 1, 4, 1, 0, 3, 3, 1, 3, 1, 2, 0, 1, 3, 0, 3, 2, 1, 1, 1, 1, 1, 4, 4, 4, 3, 4, 1, 2, 4, 0, 2, 4, 1, 2, 0, 4, 2, 0, 4, 4, 3, 1, 0, 1, 0, 3, 1, 2, 1, 2, 0, 2, 1, 3, 2, 4, 0, 3, 4, 4, 0, 0, 3, 0, 4, 0, 0, 0, 3, 0, 3, 2, 0, 4, 0, 3, 3, 2, 2, 3, 0, 3, 0, 1, 1, 3, 0, 3, 0, 1, 1, 1, 0, 1, 0, 2, 4, 1, 0, 1, 4, 4, 1, 4, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 4, 1, 3, 3, 1, 4, 3, 3, 0, 1, 4, 4] pubkeycol726 = [2, 0, 3, 0, 0, 4, 2, 1, 0, 0, 3, 3, 2, 1, 3, 1, 0, 2, 4, 4, 4, 3, 0, 4, 2, 1, 0, 3, 2, 3, 3, 0, 0, 4, 1, 1, 1, 3, 3, 0, 3, 0, 3, 2, 4, 4, 2, 1, 3, 4, 4, 1, 1, 0, 4, 1, 2, 4, 4, 0, 0, 2, 3, 1, 1, 4, 3, 1, 0, 0, 2, 1, 2, 2, 2, 3, 4, 0, 3, 0, 3, 0, 3, 4, 4, 1, 4, 1, 2, 3, 4, 2, 2, 1, 2, 3, 3, 0, 2, 3, 3, 2, 4, 4, 4, 4, 0, 1, 2, 4, 2, 2, 3, 1, 4, 4, 2, 1, 0, 0, 3, 4, 2, 4, 3, 0, 0, 1, 3, 3, 3, 2, 4, 3, 1, 2, 0, 3, 3, 4, 2, 3, 0, 0, 2, 1, 0, 1, 4, 1, 4, 2, 3, 4, 3, 1, 1, 3, 3, 1, 3, 4, 0, 0, 3, 3, 4, 2, 2, 1, 1, 1, 1, 4, 0, 4, 4, 0, 2, 1, 3, 4, 3, 0, 1, 3, 1, 4, 1, 3, 4, 2, 4, 1, 0, 0, 4, 1, 3, 2, 2, 0, 1, 4, 1, 1, 0, 3, 3, 4, 1, 1, 2, 0, 3, 1, 1, 4, 3, 2, 3, 3, 3, 3, 2, 1, 4, 0, 4, 3, 1, 4, 1, 1, 4, 2, 1, 2, 3, 0, 1, 1, 2, 1, 0, 0, 0, 4, 4, 3, 4, 2, 4, 2, 4, 3, 4, 2, 4, 1, 4, 0, 4, 4, 1, 2, 3, 2, 0, 3, 2, 2, 1, 3, 0, 0, 3, 1, 3, 3, 2, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 4, 1, 2, 3, 0, 2, 4, 1, 2, 4, 0, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 2, 3, 3, 1, 1, 1, 2, 2] pubkeycol727 = [0, 2, 0, 4, 1, 1, 0, 1, 2, 4, 3, 0, 0, 2, 3, 0, 2, 3, 3, 2, 1, 2, 0, 2, 4, 4, 0, 2, 4, 2, 2, 4, 3, 4, 2, 1, 4, 1, 4, 1, 1, 0, 1, 3, 3, 3, 1, 3, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 0, 2, 3, 3, 1, 1, 0, 3, 4, 1, 4, 0, 0, 4, 3, 3, 4, 3, 0, 4, 4, 0, 4, 4, 1, 0, 4, 1, 2, 4, 3, 1, 1, 1, 4, 4, 1, 2, 1, 0, 3, 4, 0, 4, 4, 0, 0, 0, 3, 3, 1, 4, 0, 4, 2, 4, 2, 3, 0, 4, 4, 2, 4, 4, 4, 3, 0, 4, 3, 4, 0, 4, 1, 0, 4, 1, 1, 1, 4, 4, 2, 2, 4, 1, 1, 0, 3, 0, 4, 3, 1, 0, 3, 0, 1, 2, 1, 1, 4, 1, 4, 2, 4, 1, 3, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 3, 4, 1, 3, 3, 2, 2, 3, 0, 1, 1, 0, 3, 0, 1, 0, 0, 2, 1, 4, 0, 3, 2, 1, 2, 2, 1, 4, 0, 1, 4, 0, 1, 3, 1, 3, 4, 1, 4, 1, 3, 1, 4, 2, 2, 0, 3, 4, 2, 0, 2, 0, 4, 0, 3, 4, 4, 0, 0, 2, 1, 3, 2, 4, 2, 1, 0, 4, 1, 4, 3, 1, 0, 0, 1, 3, 1, 1, 0, 4, 4, 3, 1, 0, 1, 1, 2, 0, 0, 1, 1, 3, 1, 0, 1, 3, 1, 2, 2, 0, 2, 0, 3, 2, 4, 4, 3, 3, 0, 0, 1, 0, 0, 2, 4, 1, 2, 1, 1, 3, 3, 2, 1, 1, 4, 0, 4, 2, 4, 4, 1, 0, 4, 3, 3, 3, 3, 0] pubkeycol728 = [4, 4, 0, 2, 2, 2, 2, 3, 4, 4, 1, 0, 4, 2, 0, 1, 1, 2, 2, 2, 4, 2, 2, 0, 4, 4, 1, 4, 2, 3, 2, 4, 3, 2, 3, 4, 3, 2, 3, 2, 3, 3, 3, 2, 0, 2, 1, 1, 0, 3, 4, 4, 3, 4, 1, 3, 1, 4, 4, 4, 3, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 4, 4, 2, 1, 0, 1, 2, 2, 3, 1, 1, 4, 0, 1, 2, 2, 2, 0, 3, 0, 0, 0, 1, 0, 0, 3, 3, 0, 2, 2, 1, 1, 2, 1, 1, 2, 3, 3, 2, 4, 0, 3, 2, 4, 0, 3, 3, 4, 0, 4, 2, 2, 0, 2, 4, 3, 3, 3, 1, 0, 4, 3, 2, 3, 1, 4, 3, 3, 0, 0, 3, 4, 4, 3, 2, 4, 4, 4, 0, 4, 1, 0, 2, 0, 3, 3, 4, 0, 2, 3, 4, 1, 0, 1, 3, 0, 2, 1, 2, 2, 1, 0, 4, 3, 1, 3, 4, 4, 3, 3, 1, 1, 1, 0, 1, 4, 0, 2, 1, 4, 3, 3, 0, 4, 0, 2, 3, 3, 1, 2, 1, 0, 2, 3, 1, 0, 4, 1, 0, 0, 4, 0, 3, 1, 3, 0, 3, 3, 2, 1, 0, 1, 4, 1, 1, 2, 2, 0, 4, 0, 2, 4, 3, 3, 0, 3, 4, 3, 4, 0, 0, 0, 0, 1, 4, 1, 4, 2, 2, 2, 4, 3, 4, 4, 2, 0, 1, 3, 3, 1, 3, 0, 0, 0, 2, 0, 4, 4, 4, 4, 4, 2, 2, 4, 3, 0, 4, 3, 0, 4, 0, 1, 0, 1, 1, 1, 2, 4, 0, 2, 1, 4, 0, 4, 1, 1, 0, 1, 3, 3, 1, 1, 2, 3, 3, 1, 1, 0, 1, 0, 1, 2, 3, 3, 3, 0, 1, 1, 3] pubkeycol729 = [2, 2, 1, 3, 1, 3, 0, 2, 4, 2, 2, 1, 3, 0, 3, 2, 1, 1, 1, 3, 1, 2, 3, 1, 2, 4, 1, 3, 0, 1, 0, 1, 2, 4, 2, 2, 0, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 1, 0, 0, 2, 3, 2, 2, 2, 0, 1, 0, 4, 0, 3, 2, 4, 0, 3, 2, 4, 2, 1, 4, 1, 3, 3, 4, 0, 0, 3, 3, 3, 3, 2, 4, 3, 1, 1, 3, 1, 2, 0, 2, 1, 1, 1, 0, 3, 3, 1, 3, 2, 4, 1, 1, 3, 4, 0, 3, 4, 3, 0, 2, 4, 4, 2, 1, 2, 1, 3, 4, 0, 3, 3, 1, 4, 2, 3, 2, 3, 1, 1, 4, 1, 4, 2, 1, 2, 4, 3, 4, 3, 4, 2, 0, 0, 3, 1, 3, 0, 4, 2, 1, 4, 4, 2, 4, 3, 1, 2, 1, 3, 4, 0, 4, 1, 1, 4, 1, 1, 1, 4, 3, 4, 2, 3, 0, 4, 0, 4, 2, 4, 4, 4, 1, 3, 0, 2, 0, 1, 4, 1, 2, 1, 2, 3, 0, 3, 1, 2, 1, 4, 0, 1, 3, 3, 2, 2, 1, 3, 2, 0, 2, 4, 0, 1, 1, 3, 4, 4, 1, 1, 2, 1, 3, 3, 3, 3, 1, 3, 1, 4, 4, 2, 0, 3, 3, 3, 0, 2, 0, 3, 3, 3, 1, 1, 3, 4, 3, 2, 2, 1, 0, 1, 0, 4, 2, 0, 1, 3, 2, 4, 2, 3, 3, 3, 3, 1, 2, 0, 0, 3, 2, 3, 3, 0, 4, 0, 4, 0, 0, 2, 1, 1, 3, 4, 3, 1, 0, 1, 3, 2, 4, 0, 1, 3, 1, 0, 4, 3, 2, 0, 3, 4, 3, 3, 4, 0, 4, 3, 2, 0, 1, 3, 3, 2, 0, 1, 1, 2, 2, 3, 0] pubkeycol730 = [0, 0, 3, 2, 4, 2, 2, 0, 4, 4, 2, 0, 4, 2, 2, 0, 3, 3, 1, 0, 2, 4, 3, 2, 3, 2, 1, 0, 2, 4, 4, 3, 4, 3, 0, 0, 2, 2, 0, 1, 4, 2, 2, 0, 1, 3, 3, 4, 4, 1, 1, 2, 4, 0, 3, 2, 3, 3, 1, 3, 3, 4, 2, 0, 1, 2, 3, 4, 4, 4, 0, 0, 1, 3, 4, 3, 3, 1, 4, 4, 1, 0, 3, 4, 0, 2, 1, 3, 4, 0, 1, 4, 2, 2, 1, 2, 1, 4, 1, 1, 1, 3, 2, 4, 1, 1, 1, 0, 3, 2, 2, 0, 2, 0, 1, 0, 1, 4, 0, 0, 3, 2, 0, 2, 3, 3, 0, 4, 2, 2, 4, 4, 2, 3, 0, 3, 3, 4, 2, 0, 0, 0, 1, 0, 4, 0, 1, 0, 1, 4, 4, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 4, 1, 4, 1, 4, 3, 0, 2, 3, 4, 1, 0, 4, 0, 4, 0, 2, 3, 4, 3, 2, 3, 0, 3, 3, 3, 2, 1, 4, 2, 0, 1, 0, 1, 1, 2, 3, 3, 0, 0, 3, 3, 3, 2, 3, 3, 0, 2, 3, 0, 0, 4, 1, 1, 4, 0, 0, 0, 1, 3, 1, 0, 2, 3, 3, 3, 3, 4, 4, 2, 1, 2, 2, 3, 4, 1, 1, 2, 2, 2, 2, 3, 1, 2, 1, 0, 3, 0, 2, 3, 0, 0, 1, 3, 2, 3, 0, 4, 0, 3, 0, 4, 4, 2, 3, 0, 1, 1, 4, 0, 3, 3, 1, 3, 3, 2, 1, 3, 0, 4, 0, 1, 2, 1, 0, 0, 0, 4, 1, 4, 4, 1, 4, 2, 4, 0, 1, 2, 2, 2, 4, 4, 3, 0, 1, 4, 2, 2, 4, 0, 0, 1, 0, 1, 1, 3, 3, 4, 2] pubkeycol731 = [4, 1, 4, 1, 1, 4, 0, 4, 1, 1, 4, 0, 4, 1, 0, 2, 4, 4, 4, 4, 2, 3, 4, 1, 3, 1, 3, 1, 2, 4, 4, 2, 4, 2, 3, 4, 3, 4, 3, 0, 0, 4, 2, 4, 1, 3, 3, 0, 4, 3, 3, 2, 2, 4, 1, 4, 4, 3, 2, 1, 2, 3, 3, 4, 3, 0, 1, 3, 3, 3, 3, 4, 2, 1, 2, 2, 2, 4, 4, 1, 1, 0, 3, 2, 3, 4, 2, 2, 3, 1, 3, 1, 1, 0, 1, 4, 3, 4, 3, 4, 3, 0, 2, 4, 2, 3, 4, 4, 2, 4, 4, 0, 3, 0, 2, 3, 4, 1, 3, 3, 0, 1, 4, 4, 0, 1, 1, 1, 3, 1, 0, 3, 1, 2, 0, 1, 4, 1, 1, 1, 4, 3, 4, 3, 0, 0, 1, 2, 2, 3, 1, 3, 4, 2, 3, 2, 3, 2, 2, 4, 1, 1, 0, 0, 2, 4, 2, 3, 0, 3, 3, 0, 2, 4, 3, 1, 4, 0, 0, 1, 2, 1, 2, 0, 2, 1, 4, 2, 4, 1, 4, 4, 1, 1, 1, 2, 3, 0, 0, 1, 0, 3, 2, 1, 0, 0, 4, 1, 4, 3, 1, 1, 4, 3, 2, 4, 2, 1, 3, 0, 0, 1, 1, 2, 0, 3, 3, 4, 1, 3, 2, 0, 3, 0, 0, 1, 1, 3, 1, 4, 3, 1, 4, 0, 2, 0, 2, 1, 2, 4, 4, 1, 4, 3, 0, 0, 3, 3, 3, 4, 3, 3, 2, 2, 4, 0, 2, 0, 3, 0, 4, 1, 2, 4, 1, 4, 4, 1, 4, 4, 4, 2, 1, 4, 3, 3, 2, 3, 1, 0, 4, 0, 3, 3, 0, 2, 3, 3, 4, 4, 1, 4, 2, 1, 0, 0, 0, 4, 2, 4, 2, 0, 3, 0, 4, 4, 2, 1, 3, 1] pubkeycol732 = [4, 4, 0, 0, 0, 2, 0, 4, 4, 4, 2, 1, 1, 4, 3, 4, 2, 1, 1, 0, 0, 1, 3, 4, 1, 3, 2, 4, 4, 0, 2, 0, 4, 2, 1, 0, 4, 0, 1, 4, 4, 4, 3, 2, 0, 2, 2, 2, 1, 2, 0, 0, 3, 4, 2, 4, 1, 4, 0, 0, 4, 3, 3, 4, 3, 0, 0, 4, 1, 4, 4, 1, 3, 2, 1, 1, 4, 1, 2, 4, 3, 3, 1, 4, 1, 4, 1, 3, 1, 1, 0, 1, 3, 4, 3, 0, 2, 0, 4, 2, 1, 1, 4, 4, 0, 3, 2, 0, 2, 3, 0, 0, 4, 1, 2, 1, 1, 3, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 3, 0, 3, 3, 0, 1, 2, 2, 4, 4, 4, 2, 3, 0, 1, 3, 3, 0, 3, 3, 0, 1, 2, 2, 0, 3, 4, 1, 1, 2, 1, 0, 3, 0, 3, 3, 3, 4, 2, 4, 0, 3, 0, 4, 1, 1, 2, 4, 1, 0, 1, 0, 1, 0, 0, 4, 1, 1, 0, 0, 4, 0, 3, 3, 2, 4, 0, 2, 1, 0, 2, 4, 1, 4, 1, 2, 2, 3, 2, 1, 4, 3, 4, 1, 4, 0, 2, 4, 3, 0, 3, 2, 2, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 3, 2, 4, 3, 4, 3, 3, 1, 1, 2, 1, 4, 3, 0, 4, 0, 3, 2, 3, 4, 4, 0, 3, 3, 3, 1, 3, 0, 4, 3, 3, 3, 2, 4, 1, 0, 0, 1, 0, 0, 3, 0, 1, 1, 2, 2, 1, 2, 0, 1, 4, 3, 3, 1, 1, 3, 2, 2, 1, 1, 3, 4, 3, 3, 3, 3, 2, 0, 2, 1, 4, 4, 3, 1, 2, 1, 3, 0, 3, 1, 4, 1, 0] pubkeycol733 = [2, 2, 4, 0, 1, 0, 2, 2, 2, 1, 2, 4, 2, 2, 2, 2, 4, 2, 3, 2, 0, 4, 4, 1, 0, 3, 1, 3, 1, 0, 2, 1, 1, 4, 0, 0, 1, 0, 4, 1, 1, 3, 2, 4, 3, 2, 3, 1, 0, 2, 0, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 0, 1, 3, 4, 4, 1, 0, 2, 0, 0, 2, 2, 3, 2, 0, 0, 2, 3, 1, 2, 2, 2, 2, 1, 0, 1, 4, 4, 2, 3, 3, 2, 1, 1, 2, 3, 1, 0, 1, 4, 1, 2, 0, 0, 3, 3, 1, 1, 4, 1, 4, 1, 1, 0, 4, 0, 3, 2, 3, 1, 4, 2, 2, 2, 3, 4, 4, 2, 1, 2, 4, 4, 0, 1, 3, 2, 2, 0, 1, 0, 3, 0, 0, 0, 1, 3, 0, 4, 1, 3, 2, 0, 1, 0, 0, 2, 3, 1, 0, 3, 3, 1, 2, 4, 3, 0, 4, 1, 1, 1, 4, 3, 0, 4, 2, 1, 0, 2, 3, 3, 2, 2, 4, 1, 3, 0, 3, 4, 3, 0, 2, 3, 0, 0, 1, 0, 0, 4, 4, 1, 2, 4, 0, 4, 1, 0, 0, 0, 4, 3, 1, 3, 0, 1, 4, 2, 4, 0, 3, 1, 2, 4, 3, 1, 0, 3, 4, 1, 2, 0, 1, 2, 2, 4, 3, 3, 2, 4, 2, 1, 3, 2, 2, 3, 3, 0, 0, 3, 1, 4, 0, 4, 4, 3, 2, 4, 0, 4, 3, 2, 4, 4, 3, 3, 2, 0, 2, 1, 4, 1, 4, 1, 0, 1, 4, 0, 4, 1, 0, 3, 1, 0, 2, 1, 4, 3, 1, 4, 0, 2, 4, 3, 4, 3, 1, 4, 3, 4, 0, 4, 4, 1, 1, 1, 4, 2, 0, 1, 3, 2, 1, 3, 2, 1, 2, 3, 1, 2, 3] pubkeycol734 = [4, 2, 0, 2, 4, 3, 3, 0, 3, 1, 2, 4, 3, 2, 0, 3, 4, 2, 3, 2, 4, 4, 4, 0, 2, 2, 1, 1, 2, 1, 4, 0, 0, 4, 2, 4, 4, 2, 1, 1, 4, 4, 2, 4, 2, 0, 1, 0, 1, 4, 2, 3, 2, 0, 1, 1, 3, 2, 3, 4, 2, 0, 2, 2, 3, 2, 4, 4, 3, 4, 2, 2, 4, 1, 0, 4, 2, 4, 3, 0, 1, 3, 0, 4, 0, 2, 3, 3, 4, 1, 2, 3, 1, 3, 2, 0, 3, 2, 0, 4, 3, 1, 1, 2, 1, 2, 4, 4, 2, 0, 3, 4, 3, 0, 4, 2, 4, 2, 1, 1, 4, 0, 1, 4, 4, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 0, 4, 2, 4, 3, 0, 1, 1, 0, 4, 2, 3, 2, 2, 1, 0, 1, 1, 0, 4, 1, 4, 1, 4, 0, 4, 1, 3, 2, 3, 4, 4, 3, 0, 4, 4, 1, 1, 2, 2, 3, 0, 1, 0, 2, 0, 0, 1, 4, 4, 4, 1, 4, 1, 0, 3, 0, 3, 4, 1, 2, 0, 4, 2, 1, 0, 3, 1, 4, 1, 3, 0, 2, 1, 2, 1, 1, 3, 4, 3, 3, 1, 4, 4, 2, 2, 3, 2, 0, 1, 0, 1, 1, 2, 1, 3, 3, 0, 0, 2, 0, 4, 3, 1, 2, 3, 0, 4, 0, 4, 1, 2, 0, 0, 4, 1, 0, 0, 3, 2, 3, 0, 4, 4, 0, 4, 3, 2, 0, 3, 1, 0, 0, 0, 2, 3, 1, 1, 4, 0, 3, 1, 4, 1, 0, 3, 4, 0, 1, 3, 0, 0, 3, 2, 4, 2, 0, 1, 3, 4, 0, 3, 0, 2, 2, 1, 4, 2, 2, 0, 3, 1, 2, 3, 1, 0, 1, 3, 2, 2, 1, 0, 4, 1, 1] pubkeycol735 = [3, 1, 3, 2, 4, 1, 2, 2, 1, 0, 1, 1, 0, 0, 3, 2, 2, 1, 3, 2, 0, 4, 0, 4, 3, 4, 1, 2, 4, 4, 0, 4, 2, 4, 4, 3, 0, 1, 4, 0, 3, 0, 4, 2, 2, 4, 1, 3, 0, 1, 1, 4, 3, 0, 3, 4, 1, 2, 0, 2, 1, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 4, 1, 4, 1, 2, 4, 2, 2, 4, 0, 0, 3, 1, 1, 2, 4, 2, 3, 2, 2, 3, 1, 3, 2, 3, 3, 1, 4, 4, 4, 2, 3, 1, 2, 4, 2, 4, 4, 4, 3, 0, 2, 2, 1, 3, 0, 4, 1, 2, 1, 0, 0, 1, 0, 4, 4, 3, 0, 2, 2, 0, 3, 1, 3, 2, 0, 0, 1, 2, 3, 3, 1, 2, 0, 0, 2, 0, 4, 1, 1, 3, 4, 4, 2, 2, 1, 4, 0, 0, 1, 1, 4, 1, 3, 4, 4, 3, 2, 4, 1, 4, 0, 0, 1, 2, 2, 0, 2, 3, 4, 4, 2, 1, 1, 2, 4, 1, 0, 2, 4, 0, 2, 2, 0, 0, 2, 2, 2, 1, 3, 1, 3, 1, 1, 2, 1, 3, 0, 0, 3, 2, 1, 3, 0, 3, 1, 4, 1, 4, 0, 0, 3, 3, 0, 2, 3, 3, 3, 1, 3, 0, 3, 2, 2, 1, 1, 0, 4, 4, 3, 2, 0, 3, 2, 3, 2, 1, 4, 0, 4, 3, 0, 1, 2, 2, 4, 0, 4, 0, 2, 4, 1, 0, 2, 0, 1, 3, 0, 3, 2, 1, 3, 0, 2, 4, 2, 2, 2, 2, 3, 2, 4, 0, 0, 4, 4, 3, 4, 1, 3, 4, 1, 2, 2, 4, 3, 4, 4, 2, 3, 4, 2, 3, 3, 4, 4, 0, 1, 1, 2, 0, 4, 0, 2, 2, 2, 3, 4, 3] pubkeycol736 = [2, 4, 4, 1, 0, 3, 2, 2, 1, 3, 3, 3, 2, 2, 2, 4, 3, 4, 1, 3, 0, 3, 1, 1, 4, 3, 0, 0, 3, 3, 4, 4, 1, 4, 4, 1, 3, 1, 4, 4, 1, 0, 4, 3, 3, 2, 3, 2, 3, 0, 4, 3, 4, 1, 3, 2, 1, 1, 4, 3, 2, 2, 4, 4, 0, 3, 4, 3, 0, 4, 4, 0, 3, 4, 0, 3, 2, 1, 3, 3, 4, 1, 1, 1, 4, 1, 0, 2, 4, 0, 2, 1, 3, 3, 1, 0, 2, 0, 0, 4, 3, 4, 4, 1, 3, 4, 3, 4, 3, 2, 4, 2, 4, 2, 3, 2, 0, 4, 4, 3, 0, 2, 3, 0, 1, 1, 1, 0, 2, 2, 2, 4, 3, 4, 3, 3, 3, 1, 0, 1, 0, 1, 4, 2, 3, 3, 1, 4, 2, 3, 0, 2, 3, 1, 4, 3, 1, 3, 2, 0, 2, 0, 0, 0, 0, 3, 3, 4, 4, 2, 1, 4, 0, 2, 4, 1, 2, 3, 2, 3, 4, 2, 3, 0, 2, 3, 0, 4, 0, 0, 2, 4, 1, 2, 3, 4, 2, 0, 4, 3, 2, 4, 4, 2, 2, 4, 2, 0, 3, 2, 0, 3, 2, 2, 3, 3, 2, 3, 0, 2, 3, 3, 0, 2, 2, 2, 0, 1, 1, 0, 4, 1, 3, 0, 1, 4, 1, 0, 4, 2, 4, 3, 0, 2, 4, 1, 1, 2, 0, 0, 1, 3, 1, 0, 2, 3, 0, 1, 3, 3, 4, 0, 3, 4, 4, 0, 2, 4, 4, 3, 4, 4, 0, 4, 1, 4, 1, 0, 0, 2, 0, 0, 4, 2, 1, 2, 4, 0, 0, 3, 2, 3, 3, 0, 4, 0, 0, 2, 4, 2, 2, 3, 2, 1, 0, 3, 1, 0, 3, 0, 2, 1, 2, 2, 0, 3, 3, 1, 4, 0] pubkeycol737 = [1, 2, 4, 3, 4, 2, 3, 4, 4, 1, 1, 3, 2, 4, 3, 4, 3, 2, 3, 1, 2, 1, 4, 4, 2, 0, 2, 4, 1, 2, 0, 1, 2, 1, 3, 2, 4, 0, 2, 2, 3, 1, 4, 4, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 3, 2, 4, 0, 4, 1, 4, 1, 3, 3, 0, 2, 2, 3, 2, 1, 2, 4, 1, 4, 2, 4, 0, 1, 1, 4, 4, 0, 1, 3, 0, 4, 4, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 3, 1, 2, 0, 1, 0, 2, 3, 4, 2, 2, 2, 1, 0, 0, 1, 3, 1, 2, 4, 0, 1, 3, 0, 1, 0, 0, 0, 2, 0, 3, 2, 2, 0, 4, 3, 2, 2, 4, 4, 4, 2, 4, 3, 3, 3, 0, 1, 4, 0, 4, 2, 2, 0, 4, 2, 1, 2, 1, 1, 2, 4, 4, 2, 1, 4, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 3, 2, 3, 3, 0, 1, 3, 3, 3, 3, 3, 4, 4, 1, 3, 4, 3, 1, 0, 2, 0, 3, 2, 2, 1, 0, 2, 4, 3, 4, 1, 2, 1, 2, 2, 1, 0, 4, 3, 0, 2, 4, 1, 3, 2, 1, 3, 4, 2, 4, 3, 1, 1, 1, 0, 3, 3, 0, 3, 0, 3, 1, 0, 4, 3, 4, 2, 2, 0, 1, 1, 0, 1, 2, 2, 4, 0, 4, 3, 1, 2, 4, 0, 1, 0, 0, 1, 2, 1, 2, 2, 4, 2, 2, 3, 1, 0, 3, 4, 0, 3, 0, 1, 4, 1, 3, 0, 4, 1, 0, 0, 0, 3, 3, 4, 2, 2, 2, 2, 2, 4, 1, 3, 0, 0, 0, 1, 4] pubkeycol738 = [3, 0, 1, 2, 4, 2, 3, 2, 0, 1, 1, 2, 4, 2, 4, 0, 2, 2, 1, 2, 1, 0, 3, 3, 0, 3, 4, 1, 1, 4, 4, 3, 0, 1, 3, 4, 2, 2, 4, 4, 0, 2, 1, 1, 4, 0, 0, 3, 0, 4, 2, 1, 3, 4, 2, 1, 4, 3, 2, 2, 1, 1, 1, 1, 2, 3, 4, 4, 2, 3, 4, 1, 0, 3, 4, 1, 3, 0, 2, 2, 3, 0, 0, 0, 4, 1, 1, 4, 1, 2, 0, 2, 2, 4, 4, 1, 0, 1, 4, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 3, 0, 1, 3, 1, 3, 0, 4, 1, 1, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 4, 2, 0, 0, 0, 4, 2, 4, 1, 2, 0, 4, 1, 4, 1, 4, 0, 4, 2, 4, 4, 3, 2, 4, 2, 0, 1, 1, 4, 1, 3, 3, 0, 4, 2, 3, 4, 0, 3, 3, 4, 2, 1, 4, 0, 1, 1, 3, 4, 3, 0, 2, 2, 4, 4, 2, 1, 1, 3, 0, 2, 2, 4, 3, 3, 3, 2, 2, 3, 4, 2, 3, 4, 1, 1, 1, 3, 3, 3, 4, 2, 4, 1, 4, 4, 1, 0, 1, 2, 0, 2, 4, 4, 3, 0, 3, 4, 4, 0, 3, 0, 2, 2, 2, 0, 3, 0, 4, 0, 2, 0, 4, 1, 0, 4, 0, 4, 3, 4, 2, 3, 2, 1, 3, 2, 1, 0, 4, 4, 4, 2, 4, 0, 1, 0, 1, 0, 4, 3, 3, 1, 1, 2, 0, 4, 3, 4, 4, 3, 4, 1, 0, 4, 0, 1, 3, 0, 0, 4, 4, 3, 3, 2, 4, 0, 0, 0, 4, 0, 1, 1, 3, 2, 3, 0, 2, 0, 1, 3, 3, 0, 2, 4, 3, 0, 2, 3, 3] pubkeycol739 = [1, 0, 0, 4, 4, 1, 2, 2, 1, 0, 1, 4, 3, 1, 4, 2, 3, 3, 0, 0, 3, 0, 1, 0, 2, 0, 3, 3, 2, 3, 4, 4, 0, 1, 0, 2, 2, 0, 1, 1, 3, 4, 3, 3, 4, 2, 1, 2, 3, 0, 4, 4, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 3, 1, 3, 0, 4, 1, 2, 0, 2, 1, 1, 1, 3, 0, 4, 4, 1, 4, 2, 1, 1, 0, 0, 4, 0, 0, 0, 3, 1, 4, 2, 4, 1, 3, 1, 0, 0, 4, 2, 0, 1, 4, 4, 0, 3, 4, 0, 2, 4, 3, 4, 3, 4, 0, 3, 3, 3, 4, 1, 0, 4, 0, 0, 2, 2, 3, 1, 2, 0, 2, 3, 2, 4, 4, 3, 4, 4, 4, 1, 4, 1, 0, 3, 2, 0, 0, 0, 1, 2, 0, 0, 3, 3, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 4, 2, 0, 4, 3, 4, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 0, 1, 2, 2, 0, 3, 4, 0, 2, 0, 2, 0, 1, 0, 2, 3, 0, 1, 2, 3, 4, 1, 0, 3, 4, 3, 3, 3, 1, 4, 0, 3, 2, 2, 0, 3, 4, 3, 4, 0, 4, 2, 4, 1, 1, 2, 3, 3, 0, 3, 4, 2, 1, 3, 1, 3, 1, 1, 3, 3, 4, 0, 0, 3, 3, 0, 3, 4, 3, 4, 0, 1, 2, 1, 1, 4, 2, 4, 3, 1, 4, 0, 4, 0, 3, 0, 0, 0, 2, 3, 0, 4, 2, 3, 0, 3, 0, 4, 0, 4, 2, 2, 3, 4, 4, 4, 1, 2, 2, 2, 3, 4, 3, 0, 2, 3, 3, 2, 3, 1, 1, 2, 4, 4, 2, 1, 2, 2, 0, 4, 2, 3, 4, 2, 0, 1] pubkeycol740 = [2, 3, 4, 2, 1, 1, 0, 1, 4, 2, 3, 0, 0, 3, 1, 2, 4, 3, 2, 0, 4, 4, 3, 1, 4, 1, 3, 3, 3, 2, 4, 0, 2, 3, 0, 4, 1, 3, 2, 1, 3, 2, 0, 3, 3, 3, 3, 2, 2, 4, 1, 1, 2, 1, 4, 4, 2, 2, 1, 3, 1, 3, 3, 0, 4, 4, 3, 1, 2, 2, 0, 2, 4, 2, 3, 4, 0, 3, 3, 3, 4, 3, 0, 0, 0, 0, 1, 0, 2, 0, 2, 3, 1, 0, 3, 1, 2, 0, 3, 3, 1, 3, 3, 4, 0, 2, 3, 0, 1, 3, 1, 2, 2, 3, 1, 2, 3, 0, 0, 4, 0, 2, 0, 4, 4, 2, 3, 4, 0, 0, 2, 0, 1, 0, 1, 0, 3, 4, 1, 1, 0, 1, 1, 4, 2, 2, 3, 1, 3, 0, 1, 0, 4, 2, 0, 0, 1, 1, 4, 0, 2, 2, 4, 2, 2, 1, 1, 3, 3, 3, 0, 4, 1, 2, 0, 0, 2, 0, 2, 4, 4, 0, 0, 0, 2, 3, 0, 2, 1, 3, 3, 1, 1, 1, 0, 0, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 1, 3, 1, 0, 4, 1, 0, 0, 2, 1, 2, 3, 2, 3, 3, 1, 0, 2, 1, 4, 3, 4, 3, 3, 0, 3, 2, 4, 2, 3, 2, 2, 4, 0, 4, 0, 3, 0, 0, 0, 4, 1, 3, 3, 3, 4, 2, 0, 0, 4, 4, 2, 3, 2, 2, 4, 0, 1, 2, 4, 3, 2, 3, 2, 1, 4, 2, 3, 1, 0, 3, 0, 2, 0, 2, 2, 3, 4, 4, 4, 1, 3, 3, 4, 0, 2, 1, 0, 2, 1, 2, 4, 0, 2, 3, 4, 1, 1, 1, 3, 1, 4, 0, 0, 0, 4, 2, 0, 3, 3, 3, 4, 1, 2] pubkeycol741 = [4, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 1, 3, 2, 1, 0, 2, 4, 0, 2, 1, 4, 3, 2, 4, 2, 3, 2, 3, 2, 3, 1, 3, 3, 4, 2, 2, 0, 3, 4, 2, 4, 3, 0, 2, 4, 3, 3, 0, 2, 2, 3, 1, 2, 3, 0, 4, 2, 3, 2, 2, 1, 3, 0, 2, 1, 0, 3, 2, 0, 2, 2, 1, 3, 1, 0, 2, 2, 3, 4, 3, 4, 4, 1, 2, 3, 2, 0, 4, 4, 1, 0, 1, 0, 4, 0, 2, 3, 3, 4, 1, 3, 4, 0, 2, 4, 4, 3, 3, 1, 0, 3, 3, 0, 1, 4, 4, 0, 1, 1, 4, 2, 0, 2, 3, 0, 0, 3, 3, 4, 0, 1, 0, 0, 1, 4, 3, 0, 2, 1, 3, 0, 3, 0, 2, 1, 0, 0, 0, 4, 3, 2, 4, 3, 4, 3, 4, 2, 2, 3, 2, 0, 3, 4, 1, 2, 4, 2, 0, 2, 2, 0, 0, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 0, 2, 4, 2, 1, 3, 1, 3, 1, 0, 1, 0, 1, 3, 4, 1, 1, 0, 3, 3, 2, 1, 4, 3, 1, 4, 2, 0, 0, 4, 4, 2, 4, 2, 4, 2, 0, 2, 1, 0, 1, 4, 4, 3, 0, 4, 4, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 3, 0, 4, 2, 1, 3, 1, 2, 0, 3, 3, 0, 4, 3, 4, 4, 2, 2, 0, 4, 1, 2, 2, 3, 1, 1, 2, 3, 0, 0, 0, 0, 1, 2, 2, 4, 3, 2, 0, 3, 1, 0, 3, 3, 0, 1, 4, 4, 0, 3, 0, 0, 3, 4, 4, 1, 3, 4, 4, 0, 2, 4, 0, 2, 2, 2, 0, 4, 3, 1, 1, 0, 3, 2, 3, 4, 1, 0, 0] pubkeycol742 = [1, 2, 2, 1, 1, 3, 0, 2, 1, 0, 0, 3, 4, 2, 1, 2, 3, 0, 4, 1, 2, 4, 2, 3, 0, 3, 1, 0, 0, 4, 0, 0, 2, 4, 4, 0, 2, 2, 3, 1, 1, 4, 2, 1, 1, 4, 1, 3, 1, 3, 4, 4, 3, 1, 1, 4, 1, 0, 1, 0, 3, 3, 0, 1, 3, 1, 2, 2, 1, 3, 4, 4, 0, 3, 4, 2, 4, 3, 1, 4, 0, 4, 0, 1, 3, 3, 4, 2, 2, 2, 1, 4, 1, 4, 2, 2, 4, 1, 2, 4, 0, 2, 0, 1, 0, 3, 3, 0, 3, 0, 2, 1, 4, 1, 3, 4, 1, 2, 3, 2, 0, 1, 3, 2, 0, 3, 2, 2, 2, 3, 2, 3, 1, 4, 2, 1, 4, 1, 0, 1, 4, 3, 2, 4, 0, 1, 3, 3, 3, 0, 2, 0, 3, 1, 2, 4, 0, 2, 1, 0, 3, 2, 0, 1, 3, 2, 2, 2, 0, 1, 3, 3, 3, 3, 3, 3, 0, 0, 3, 1, 3, 0, 4, 3, 2, 1, 0, 3, 1, 2, 2, 3, 0, 4, 3, 3, 3, 4, 2, 0, 3, 3, 1, 4, 4, 1, 3, 0, 3, 4, 2, 0, 4, 4, 3, 1, 1, 2, 3, 2, 1, 2, 0, 0, 3, 0, 1, 1, 3, 2, 2, 1, 2, 3, 3, 2, 1, 4, 4, 4, 1, 2, 4, 3, 4, 0, 1, 1, 2, 2, 2, 2, 1, 4, 2, 4, 0, 0, 0, 3, 4, 2, 1, 1, 1, 3, 0, 3, 1, 1, 0, 0, 1, 4, 1, 3, 3, 3, 0, 4, 3, 0, 2, 1, 2, 0, 0, 3, 2, 2, 2, 2, 4, 0, 2, 0, 3, 3, 1, 4, 2, 0, 0, 4, 1, 4, 1, 1, 1, 3, 1, 0, 1, 1, 1, 2, 1, 0, 0, 4] pubkeycol743 = [1, 4, 3, 3, 4, 4, 4, 1, 3, 4, 4, 4, 3, 2, 2, 1, 3, 0, 4, 0, 2, 1, 1, 2, 3, 4, 0, 2, 1, 0, 4, 2, 1, 4, 0, 1, 3, 0, 1, 4, 2, 1, 3, 3, 4, 0, 2, 0, 4, 4, 0, 2, 4, 0, 4, 0, 2, 0, 0, 2, 4, 0, 2, 1, 0, 0, 3, 1, 1, 3, 1, 4, 0, 1, 4, 1, 3, 3, 0, 0, 1, 2, 2, 2, 2, 1, 1, 4, 1, 1, 2, 3, 0, 0, 1, 3, 2, 3, 0, 4, 1, 4, 0, 2, 0, 3, 1, 3, 0, 3, 2, 2, 0, 0, 0, 0, 4, 0, 0, 1, 2, 3, 0, 2, 4, 2, 2, 3, 0, 1, 3, 4, 2, 0, 3, 2, 2, 2, 1, 1, 3, 0, 4, 0, 0, 0, 0, 2, 1, 1, 0, 3, 2, 2, 4, 3, 0, 3, 2, 0, 0, 4, 1, 4, 2, 3, 4, 2, 1, 2, 3, 0, 0, 1, 2, 1, 1, 0, 4, 1, 0, 0, 4, 2, 4, 0, 2, 0, 1, 3, 1, 0, 2, 3, 3, 2, 0, 0, 0, 3, 1, 0, 2, 2, 2, 3, 0, 3, 2, 1, 1, 3, 4, 0, 4, 1, 0, 1, 4, 0, 4, 4, 2, 2, 2, 0, 3, 4, 4, 3, 3, 0, 0, 4, 0, 1, 3, 0, 2, 0, 3, 3, 1, 2, 1, 2, 3, 4, 2, 3, 1, 2, 0, 2, 0, 1, 3, 2, 2, 3, 3, 0, 4, 0, 4, 3, 3, 3, 1, 4, 3, 4, 2, 0, 0, 1, 1, 2, 1, 3, 2, 4, 4, 3, 2, 0, 4, 3, 3, 3, 2, 0, 3, 1, 3, 3, 1, 4, 0, 4, 2, 2, 3, 0, 4, 2, 2, 4, 1, 1, 1, 3, 0, 1, 0, 4, 0, 0, 2, 0] pubkeycol744 = [1, 2, 3, 2, 1, 3, 1, 3, 1, 1, 4, 4, 2, 1, 0, 0, 0, 3, 1, 4, 1, 0, 2, 2, 0, 4, 0, 3, 3, 3, 3, 2, 4, 2, 0, 2, 2, 3, 2, 0, 4, 0, 3, 0, 1, 1, 3, 1, 2, 3, 2, 2, 4, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 4, 0, 4, 4, 4, 4, 2, 1, 0, 1, 0, 3, 3, 0, 1, 3, 0, 1, 2, 0, 3, 2, 3, 2, 1, 4, 1, 4, 0, 4, 3, 1, 3, 3, 4, 3, 0, 3, 3, 1, 4, 4, 3, 2, 4, 3, 1, 1, 1, 3, 1, 4, 1, 2, 4, 0, 2, 2, 4, 4, 4, 0, 3, 4, 3, 3, 0, 0, 3, 4, 3, 3, 2, 4, 1, 3, 4, 1, 2, 1, 4, 2, 2, 1, 1, 2, 4, 0, 2, 4, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 2, 3, 2, 4, 0, 4, 1, 1, 4, 0, 4, 3, 0, 4, 0, 1, 0, 2, 4, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 4, 4, 0, 1, 2, 0, 0, 0, 1, 3, 4, 2, 4, 2, 0, 0, 3, 1, 3, 0, 2, 4, 4, 1, 1, 2, 4, 2, 3, 2, 1, 0, 1, 4, 2, 4, 2, 2, 2, 2, 0, 2, 4, 1, 4, 4, 0, 4, 4, 1, 1, 0, 2, 2, 1, 0, 1, 0, 3, 1, 1, 0, 4, 4, 0, 1, 3, 4, 1, 1, 0, 4, 1, 3, 1, 2, 0, 4, 2, 0, 1, 1, 0, 2, 2, 4, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 3, 3, 2, 2, 3, 0, 4, 1, 1, 4, 0, 1, 3, 0, 2, 1, 1, 3, 2, 0, 1, 0, 4, 0] pubkeycol745 = [4, 4, 0, 3, 1, 1, 1, 3, 1, 3, 4, 4, 0, 1, 4, 4, 3, 3, 0, 4, 4, 2, 2, 4, 1, 1, 0, 4, 3, 2, 4, 4, 4, 2, 4, 0, 2, 1, 2, 4, 1, 0, 2, 2, 3, 1, 0, 1, 1, 0, 3, 1, 3, 1, 3, 2, 1, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 2, 0, 4, 1, 1, 3, 1, 3, 2, 0, 1, 2, 0, 4, 3, 0, 1, 1, 1, 0, 1, 1, 3, 1, 2, 1, 2, 1, 2, 3, 1, 3, 4, 2, 2, 2, 3, 2, 1, 3, 0, 3, 4, 4, 0, 4, 3, 4, 0, 4, 3, 0, 4, 1, 4, 2, 1, 1, 2, 4, 1, 4, 0, 2, 3, 3, 0, 1, 0, 3, 3, 0, 0, 2, 1, 1, 4, 1, 4, 0, 3, 0, 1, 2, 1, 1, 2, 4, 0, 3, 3, 1, 1, 4, 0, 3, 0, 3, 3, 3, 4, 3, 0, 2, 0, 3, 4, 0, 2, 1, 3, 4, 4, 4, 0, 0, 0, 4, 2, 3, 3, 0, 1, 3, 1, 1, 3, 2, 2, 0, 2, 1, 4, 4, 1, 2, 2, 2, 4, 0, 2, 3, 1, 3, 0, 1, 0, 1, 2, 2, 0, 2, 4, 4, 0, 4, 4, 3, 2, 2, 0, 2, 4, 4, 1, 1, 3, 1, 4, 3, 0, 1, 1, 1, 1, 2, 1, 2, 3, 1, 1, 2, 2, 4, 0, 1, 2, 4, 3, 4, 2, 4, 1, 3, 2, 4, 4, 2, 4, 2, 2, 4, 4, 3, 3, 4, 0, 2, 4, 1, 2, 0, 0, 1, 2, 4, 0, 3, 3, 2, 0, 2, 2, 2, 3, 4, 2, 0, 0, 0, 4, 0, 3, 1, 1, 4, 0, 4, 0, 3, 0, 4, 3, 1, 3, 0, 3, 3, 4, 1, 4, 3, 2] pubkeycol746 = [4, 3, 3, 0, 4, 2, 1, 2, 2, 4, 1, 1, 3, 2, 2, 2, 1, 4, 3, 4, 4, 1, 3, 3, 2, 2, 1, 0, 2, 4, 3, 1, 0, 0, 4, 1, 2, 4, 0, 4, 1, 0, 1, 4, 3, 4, 0, 4, 3, 0, 3, 4, 2, 4, 2, 0, 3, 3, 3, 0, 4, 2, 3, 0, 2, 4, 4, 0, 2, 1, 0, 4, 1, 2, 2, 3, 3, 0, 0, 3, 1, 2, 4, 4, 0, 2, 4, 0, 2, 3, 0, 1, 2, 0, 3, 0, 4, 3, 0, 4, 1, 2, 4, 0, 1, 0, 2, 4, 0, 1, 2, 4, 1, 1, 1, 4, 0, 0, 0, 2, 1, 2, 0, 0, 3, 2, 1, 4, 1, 0, 1, 1, 2, 3, 0, 4, 2, 4, 3, 2, 0, 4, 1, 4, 1, 0, 2, 2, 2, 4, 0, 1, 0, 4, 2, 4, 2, 2, 3, 0, 3, 2, 0, 4, 3, 4, 0, 1, 4, 0, 0, 2, 3, 3, 3, 1, 1, 2, 2, 2, 2, 2, 1, 2, 4, 1, 1, 2, 3, 3, 2, 4, 1, 2, 2, 2, 3, 2, 2, 2, 0, 3, 0, 4, 0, 2, 3, 2, 4, 0, 3, 0, 3, 2, 0, 0, 3, 3, 1, 1, 1, 3, 0, 2, 2, 2, 1, 0, 4, 2, 3, 2, 1, 4, 2, 4, 2, 1, 3, 0, 3, 1, 3, 3, 3, 3, 1, 3, 4, 3, 0, 3, 2, 4, 2, 1, 4, 3, 0, 4, 0, 2, 4, 0, 2, 2, 1, 1, 0, 3, 1, 1, 0, 4, 3, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 4, 0, 2, 0, 0, 3, 3, 1, 0, 1, 0, 3, 2, 0, 0, 2, 2, 0, 3, 0, 4, 0, 3, 3, 3, 2, 3, 2, 3, 1, 4, 1, 3, 1] pubkeycol747 = [4, 1, 0, 2, 0, 1, 4, 4, 2, 2, 1, 0, 0, 1, 0, 4, 2, 1, 0, 1, 0, 2, 0, 1, 3, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 3, 1, 0, 4, 2, 1, 0, 0, 1, 3, 0, 1, 4, 2, 1, 0, 0, 0, 2, 3, 4, 1, 2, 3, 0, 0, 0, 4, 0, 0, 2, 3, 1, 0, 4, 1, 1, 0, 0, 3, 0, 4, 4, 4, 3, 4, 3, 2, 1, 2, 3, 2, 1, 1, 2, 2, 0, 3, 0, 4, 2, 1, 2, 0, 0, 1, 1, 3, 1, 3, 4, 2, 1, 2, 3, 3, 0, 4, 2, 3, 1, 1, 2, 3, 0, 0, 4, 4, 3, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 3, 4, 3, 4, 3, 1, 2, 3, 0, 3, 4, 0, 2, 2, 0, 2, 3, 1, 4, 2, 4, 0, 3, 1, 1, 2, 2, 0, 4, 0, 3, 0, 1, 1, 0, 3, 2, 2, 1, 0, 4, 1, 3, 3, 0, 1, 3, 2, 2, 3, 0, 4, 4, 4, 4, 4, 4, 0, 2, 0, 1, 2, 0, 0, 2, 1, 4, 4, 1, 3, 2, 4, 4, 0, 3, 4, 1, 4, 2, 2, 3, 0, 2, 1, 2, 2, 4, 4, 1, 2, 1, 2, 3, 4, 2, 4, 4, 0, 2, 2, 1, 0, 3, 0, 1, 3, 1, 0, 0, 2, 2, 1, 3, 1, 4, 4, 4, 4, 1, 3, 2, 3, 4, 3, 2, 2, 4, 1, 0, 4, 2, 3, 2, 3, 2, 3, 0, 2, 3, 3, 4, 2, 3, 3, 0, 3, 3, 4, 0, 0, 1, 4, 1, 0, 4, 0, 2, 1, 0, 3, 4, 4, 3, 1, 0, 2, 3, 3, 1, 1, 3, 3, 4, 3, 2, 0, 0, 3, 1, 4, 4, 0, 3, 3, 0, 1] pubkeycol748 = [3, 1, 4, 3, 0, 0, 2, 1, 4, 2, 3, 1, 1, 3, 1, 2, 2, 3, 4, 1, 3, 4, 2, 0, 4, 0, 1, 3, 1, 1, 4, 0, 4, 4, 3, 4, 1, 4, 3, 1, 2, 1, 1, 4, 0, 1, 3, 0, 4, 4, 2, 2, 1, 0, 0, 4, 3, 4, 2, 1, 2, 4, 4, 0, 4, 0, 0, 4, 4, 0, 3, 0, 1, 0, 3, 2, 2, 0, 1, 3, 2, 2, 0, 3, 4, 3, 2, 4, 2, 0, 2, 0, 1, 2, 4, 2, 4, 3, 2, 1, 1, 4, 3, 1, 4, 0, 0, 0, 3, 3, 1, 2, 4, 4, 2, 2, 2, 4, 3, 2, 2, 1, 4, 2, 2, 1, 4, 4, 2, 4, 3, 1, 0, 0, 2, 3, 4, 0, 2, 3, 4, 1, 2, 1, 1, 3, 3, 2, 4, 2, 2, 4, 2, 2, 3, 4, 2, 3, 0, 2, 0, 4, 0, 1, 1, 3, 3, 1, 0, 2, 3, 3, 1, 4, 2, 4, 1, 2, 1, 1, 1, 3, 0, 1, 3, 0, 3, 2, 1, 3, 0, 3, 2, 1, 4, 3, 4, 3, 0, 3, 2, 3, 0, 2, 4, 1, 1, 1, 1, 3, 2, 0, 1, 4, 3, 1, 0, 4, 4, 2, 1, 4, 0, 0, 0, 2, 4, 4, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 3, 0, 4, 1, 1, 0, 1, 1, 0, 0, 4, 0, 3, 3, 2, 4, 2, 2, 4, 4, 0, 3, 4, 1, 4, 3, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 3, 0, 3, 3, 3, 0, 4, 2, 2, 2, 1, 3, 1, 1, 4, 2, 3, 4, 4, 3, 2, 1, 0, 1, 1, 3, 4, 1, 2, 3, 2, 3, 2, 2, 4, 1, 1, 1, 0, 4, 2, 3, 4, 3, 1, 4] pubkeycol749 = [2, 1, 1, 4, 0, 4, 4, 4, 2, 0, 1, 0, 4, 1, 2, 4, 1, 0, 0, 4, 2, 4, 3, 0, 1, 2, 2, 0, 2, 4, 1, 3, 3, 0, 3, 0, 4, 3, 3, 0, 0, 3, 1, 0, 4, 3, 0, 1, 4, 4, 4, 3, 1, 1, 4, 4, 3, 1, 2, 3, 0, 4, 2, 3, 4, 1, 3, 4, 3, 3, 1, 4, 0, 1, 3, 0, 4, 1, 1, 3, 1, 1, 0, 2, 2, 3, 0, 2, 3, 2, 2, 1, 4, 3, 2, 2, 2, 2, 0, 4, 3, 2, 3, 1, 2, 0, 4, 1, 0, 4, 1, 4, 1, 0, 0, 1, 2, 1, 3, 2, 2, 1, 0, 1, 1, 3, 3, 2, 1, 4, 4, 4, 1, 2, 1, 0, 4, 0, 0, 0, 1, 1, 3, 1, 1, 2, 3, 0, 0, 1, 3, 0, 1, 3, 0, 2, 2, 4, 1, 2, 0, 2, 2, 0, 2, 2, 3, 1, 1, 1, 2, 4, 0, 3, 3, 4, 1, 3, 4, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 3, 4, 4, 2, 4, 1, 2, 2, 2, 2, 1, 2, 1, 3, 2, 1, 2, 3, 4, 1, 4, 1, 0, 1, 2, 0, 3, 2, 2, 4, 3, 1, 4, 3, 2, 0, 4, 3, 0, 2, 1, 4, 2, 2, 0, 0, 3, 1, 2, 4, 3, 3, 1, 1, 1, 0, 4, 2, 1, 3, 0, 0, 4, 3, 4, 2, 1, 1, 0, 2, 1, 1, 1, 2, 3, 1, 1, 1, 4, 3, 3, 3, 2, 3, 1, 0, 3, 2, 4, 0, 3, 4, 4, 4, 0, 4, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 3, 0, 1, 2, 0, 4, 1, 0, 3, 3, 2, 3, 1, 3, 1, 1, 3, 1, 4, 2, 3, 4] pubkeycol750 = [3, 1, 3, 0, 0, 4, 3, 2, 1, 1, 2, 2, 2, 1, 0, 4, 4, 0, 2, 4, 0, 1, 4, 2, 1, 1, 1, 3, 4, 0, 2, 1, 0, 2, 3, 2, 1, 3, 1, 4, 0, 0, 3, 4, 3, 1, 1, 2, 1, 4, 1, 0, 4, 2, 3, 3, 3, 4, 3, 0, 3, 0, 2, 1, 1, 0, 2, 2, 0, 0, 3, 2, 3, 1, 2, 1, 3, 3, 0, 4, 4, 4, 4, 4, 2, 1, 4, 3, 0, 1, 0, 1, 2, 0, 3, 0, 2, 3, 3, 0, 0, 0, 4, 2, 0, 3, 4, 4, 1, 2, 2, 3, 0, 2, 3, 3, 2, 4, 4, 4, 2, 2, 1, 3, 1, 2, 2, 0, 3, 2, 0, 4, 4, 2, 0, 3, 1, 4, 4, 0, 0, 1, 4, 3, 0, 1, 3, 1, 0, 1, 2, 2, 2, 4, 4, 4, 4, 0, 0, 1, 4, 1, 2, 3, 3, 4, 4, 3, 2, 3, 3, 0, 0, 2, 4, 4, 2, 1, 4, 4, 3, 0, 4, 0, 3, 2, 0, 1, 2, 4, 4, 3, 3, 0, 4, 1, 3, 2, 2, 2, 2, 0, 1, 2, 0, 2, 3, 3, 2, 4, 4, 0, 2, 2, 0, 4, 4, 4, 4, 2, 1, 2, 2, 0, 3, 3, 2, 2, 1, 0, 3, 4, 4, 3, 1, 3, 3, 1, 3, 3, 0, 4, 0, 3, 2, 1, 3, 4, 3, 4, 0, 0, 3, 0, 0, 4, 4, 2, 3, 4, 3, 0, 1, 3, 1, 1, 1, 0, 1, 4, 0, 3, 2, 3, 2, 3, 0, 4, 4, 3, 1, 2, 1, 0, 0, 1, 1, 1, 3, 2, 3, 0, 3, 4, 3, 1, 2, 3, 2, 3, 0, 4, 4, 1, 4, 2, 4, 4, 4, 3, 2, 1, 4, 4, 3, 2, 0, 4, 0, 3] pubkeycol751 = [2, 0, 0, 3, 2, 4, 4, 1, 4, 4, 3, 0, 2, 3, 4, 4, 3, 3, 2, 2, 1, 0, 3, 1, 3, 2, 0, 2, 1, 4, 3, 3, 0, 3, 1, 1, 3, 3, 4, 4, 3, 0, 2, 0, 0, 0, 3, 0, 3, 4, 1, 0, 0, 4, 1, 0, 2, 4, 4, 3, 1, 0, 2, 1, 2, 4, 1, 4, 1, 1, 0, 0, 0, 4, 0, 0, 2, 4, 1, 0, 4, 1, 2, 3, 1, 4, 0, 3, 3, 4, 0, 0, 2, 2, 0, 3, 1, 2, 3, 3, 4, 0, 1, 3, 0, 1, 0, 4, 3, 1, 3, 2, 1, 1, 2, 3, 3, 1, 0, 0, 0, 3, 4, 4, 3, 4, 2, 4, 2, 3, 0, 1, 4, 4, 3, 1, 0, 0, 3, 0, 3, 1, 2, 4, 2, 1, 3, 3, 1, 2, 1, 4, 3, 1, 3, 3, 0, 0, 2, 4, 2, 2, 4, 2, 1, 0, 3, 3, 2, 4, 2, 0, 3, 4, 4, 4, 3, 2, 4, 4, 3, 3, 0, 3, 0, 2, 3, 2, 2, 3, 2, 1, 2, 4, 4, 4, 4, 1, 0, 0, 1, 4, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 4, 3, 1, 1, 2, 4, 2, 1, 1, 1, 1, 1, 4, 3, 1, 2, 2, 3, 2, 1, 4, 2, 4, 4, 4, 4, 0, 0, 3, 3, 4, 3, 4, 3, 4, 4, 4, 1, 4, 0, 1, 1, 0, 0, 3, 0, 0, 4, 2, 1, 2, 3, 4, 1, 3, 2, 3, 4, 4, 4, 2, 0, 3, 4, 0, 1, 2, 0, 3, 0, 4, 2, 3, 3, 1, 2, 0, 3, 0, 3, 3, 3, 3, 1, 1, 1, 3, 4, 3, 3, 0, 2, 4, 3, 3, 3, 1, 3, 4, 2, 1, 2, 0, 3, 1, 0] pubkeycol752 = [2, 1, 3, 4, 3, 3, 4, 4, 1, 3, 2, 0, 4, 1, 2, 0, 4, 4, 4, 1, 4, 3, 3, 2, 0, 2, 2, 4, 3, 1, 2, 1, 2, 2, 0, 1, 4, 1, 0, 0, 0, 2, 3, 3, 0, 2, 3, 3, 3, 3, 2, 3, 2, 0, 1, 4, 4, 0, 4, 1, 0, 1, 3, 4, 4, 2, 2, 1, 0, 0, 1, 3, 2, 4, 0, 2, 1, 1, 4, 0, 4, 4, 1, 4, 1, 1, 2, 2, 3, 0, 0, 4, 3, 2, 4, 0, 2, 3, 2, 3, 3, 3, 2, 0, 2, 1, 0, 0, 0, 4, 1, 2, 3, 0, 2, 4, 4, 4, 3, 3, 3, 3, 3, 1, 0, 4, 1, 4, 4, 2, 0, 0, 0, 0, 3, 3, 2, 3, 0, 3, 1, 2, 3, 3, 1, 3, 4, 4, 3, 3, 3, 3, 1, 0, 2, 0, 0, 1, 1, 3, 3, 1, 4, 0, 0, 0, 3, 1, 1, 0, 0, 1, 4, 0, 1, 3, 2, 2, 4, 0, 2, 3, 4, 4, 3, 3, 0, 3, 4, 1, 2, 1, 1, 2, 2, 4, 3, 0, 4, 0, 0, 2, 3, 3, 3, 3, 1, 4, 1, 2, 3, 3, 0, 2, 1, 0, 4, 4, 0, 3, 3, 3, 4, 0, 3, 2, 0, 1, 3, 3, 0, 2, 0, 3, 3, 2, 0, 1, 2, 1, 0, 3, 0, 0, 1, 4, 3, 0, 2, 3, 3, 1, 3, 0, 2, 1, 4, 1, 3, 0, 2, 2, 1, 3, 0, 4, 2, 4, 0, 3, 2, 0, 4, 4, 0, 1, 4, 2, 3, 4, 0, 0, 0, 3, 0, 4, 1, 3, 3, 3, 0, 0, 3, 2, 0, 4, 2, 4, 3, 2, 0, 4, 1, 0, 1, 2, 4, 2, 3, 3, 4, 1, 1, 0, 0, 4, 0, 1, 3, 1] pubkeycol753 = [0, 3, 0, 4, 4, 3, 3, 2, 3, 3, 4, 0, 0, 4, 1, 0, 1, 1, 2, 3, 2, 3, 4, 2, 0, 0, 1, 0, 1, 4, 2, 2, 1, 1, 3, 1, 0, 3, 1, 4, 4, 1, 0, 4, 0, 1, 1, 3, 3, 2, 2, 2, 1, 3, 2, 0, 4, 2, 0, 3, 0, 2, 3, 4, 2, 1, 0, 0, 3, 1, 2, 0, 3, 4, 1, 4, 1, 4, 4, 2, 3, 3, 1, 4, 0, 1, 0, 3, 3, 1, 4, 0, 2, 1, 3, 2, 4, 0, 0, 2, 4, 0, 3, 1, 4, 1, 4, 1, 4, 2, 3, 4, 4, 1, 0, 3, 2, 1, 2, 4, 3, 2, 4, 3, 3, 2, 1, 4, 1, 1, 4, 2, 2, 0, 1, 1, 3, 2, 4, 3, 0, 0, 4, 1, 0, 2, 4, 4, 4, 2, 4, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 4, 2, 2, 0, 0, 3, 4, 0, 3, 2, 2, 0, 0, 3, 4, 1, 2, 4, 0, 0, 2, 3, 3, 0, 4, 4, 1, 2, 2, 2, 4, 2, 2, 3, 4, 2, 2, 4, 2, 2, 1, 2, 2, 3, 1, 3, 1, 0, 3, 1, 4, 3, 3, 1, 4, 3, 2, 2, 0, 2, 3, 0, 1, 2, 4, 0, 4, 1, 4, 2, 4, 2, 4, 0, 0, 3, 4, 1, 3, 3, 3, 2, 0, 4, 3, 0, 1, 0, 3, 2, 3, 3, 3, 0, 2, 4, 2, 1, 0, 4, 1, 0, 4, 0, 1, 2, 1, 2, 3, 1, 2, 3, 3, 4, 3, 2, 0, 3, 0, 1, 4, 2, 4, 1, 2, 1, 0, 0, 4, 0, 0, 0, 2, 0, 2, 4, 3, 4, 1, 1, 4, 0, 3, 3, 3, 4, 3, 2, 1, 4, 3, 1, 4, 3, 4, 2, 1, 2] pubkeycol754 = [4, 1, 3, 4, 4, 4, 1, 4, 4, 3, 2, 4, 0, 1, 3, 0, 4, 3, 2, 2, 4, 0, 0, 3, 3, 1, 2, 0, 3, 1, 3, 1, 4, 3, 1, 3, 4, 4, 0, 2, 4, 0, 2, 1, 3, 0, 3, 4, 2, 2, 1, 4, 4, 2, 4, 1, 4, 3, 4, 3, 1, 4, 1, 2, 0, 1, 0, 2, 1, 1, 0, 3, 3, 3, 3, 0, 1, 3, 1, 4, 2, 2, 0, 0, 2, 4, 0, 4, 1, 4, 2, 2, 3, 2, 4, 2, 0, 1, 2, 0, 3, 0, 4, 0, 0, 2, 0, 0, 1, 0, 4, 1, 3, 1, 2, 0, 3, 4, 4, 1, 3, 3, 1, 4, 0, 3, 4, 3, 3, 0, 3, 1, 4, 1, 2, 0, 1, 1, 3, 3, 4, 3, 2, 2, 3, 2, 3, 1, 2, 4, 1, 0, 2, 1, 0, 4, 2, 4, 2, 3, 3, 1, 2, 3, 0, 3, 4, 4, 2, 3, 1, 0, 1, 4, 3, 4, 3, 1, 0, 4, 4, 3, 3, 3, 1, 1, 4, 0, 4, 3, 4, 3, 4, 3, 3, 2, 0, 1, 4, 2, 1, 1, 4, 3, 4, 3, 0, 4, 4, 1, 2, 4, 3, 4, 4, 1, 0, 4, 3, 4, 1, 0, 0, 0, 3, 3, 1, 0, 1, 4, 4, 4, 4, 4, 3, 0, 4, 0, 2, 3, 2, 4, 2, 3, 0, 3, 1, 4, 2, 0, 2, 0, 3, 0, 0, 3, 2, 3, 3, 1, 1, 2, 1, 1, 1, 4, 0, 0, 0, 0, 3, 4, 4, 3, 0, 4, 2, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 0, 0, 2, 3, 4, 2, 4, 2, 0, 0, 1, 4, 0, 3, 0, 1, 2, 2, 3, 0, 4, 1, 4, 2, 0, 2, 0, 3, 2, 0, 4, 3] pubkeycol755 = [2, 3, 2, 4, 1, 0, 4, 0, 4, 1, 4, 2, 1, 3, 0, 0, 1, 0, 1, 1, 4, 2, 3, 2, 4, 1, 4, 2, 0, 3, 0, 3, 4, 1, 3, 4, 1, 2, 3, 3, 0, 0, 0, 4, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 3, 4, 0, 3, 0, 0, 0, 1, 3, 1, 4, 0, 4, 0, 4, 0, 3, 1, 1, 0, 0, 3, 0, 0, 0, 4, 2, 2, 0, 3, 3, 0, 4, 3, 0, 3, 0, 1, 4, 1, 3, 0, 0, 2, 1, 0, 2, 2, 4, 4, 1, 4, 0, 3, 3, 2, 3, 1, 2, 0, 4, 1, 4, 0, 2, 1, 1, 2, 3, 2, 3, 0, 0, 4, 1, 0, 0, 0, 2, 3, 2, 3, 0, 1, 3, 3, 1, 2, 0, 2, 4, 1, 3, 1, 4, 3, 4, 4, 0, 3, 0, 3, 3, 3, 2, 2, 1, 3, 2, 1, 2, 1, 3, 4, 0, 1, 0, 4, 2, 3, 1, 0, 4, 3, 2, 0, 4, 0, 3, 3, 1, 0, 4, 0, 2, 1, 1, 3, 4, 4, 0, 1, 2, 4, 1, 3, 3, 1, 3, 2, 3, 0, 4, 1, 4, 1, 0, 1, 1, 4, 3, 1, 3, 2, 1, 1, 3, 3, 4, 2, 3, 1, 1, 3, 3, 0, 4, 3, 1, 1, 4, 3, 2, 3, 2, 3, 4, 1, 2, 1, 1, 0, 4, 2, 4, 0, 1, 0, 2, 0, 3, 3, 2, 2, 3, 0, 3, 3, 4, 3, 3, 1, 4, 3, 1, 0, 0, 3, 2, 1, 3, 2, 1, 1, 3, 1, 0, 1, 4, 4, 0, 1, 4, 2, 0, 4, 2, 0, 3, 2, 1, 1, 1, 3, 4, 1, 4, 0, 2, 0, 1, 4, 0, 4, 0, 2, 0, 1, 2, 3, 2, 2, 1, 3, 2] pubkeycol756 = [0, 4, 3, 3, 0, 2, 3, 3, 3, 0, 4, 1, 0, 3, 0, 0, 2, 0, 0, 4, 2, 1, 3, 4, 2, 0, 0, 3, 4, 0, 0, 4, 2, 2, 1, 3, 3, 3, 3, 0, 0, 3, 3, 1, 0, 3, 1, 0, 2, 0, 4, 3, 0, 2, 1, 1, 1, 4, 3, 2, 2, 0, 4, 1, 1, 3, 0, 1, 3, 4, 3, 4, 1, 3, 4, 2, 0, 4, 2, 3, 4, 0, 0, 1, 0, 4, 1, 3, 1, 3, 4, 1, 4, 4, 1, 3, 3, 0, 3, 0, 2, 0, 2, 0, 3, 3, 3, 3, 1, 0, 1, 0, 3, 3, 4, 3, 3, 4, 1, 3, 2, 0, 3, 4, 2, 2, 1, 2, 3, 2, 4, 0, 1, 1, 2, 1, 3, 3, 4, 0, 0, 0, 0, 2, 3, 4, 2, 4, 0, 3, 3, 0, 0, 4, 3, 1, 2, 2, 3, 0, 0, 0, 1, 2, 4, 2, 3, 2, 2, 3, 2, 3, 0, 1, 2, 1, 4, 0, 3, 0, 2, 2, 2, 3, 3, 0, 2, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 1, 1, 2, 4, 4, 2, 2, 2, 2, 4, 1, 0, 0, 4, 2, 1, 0, 0, 3, 0, 1, 4, 4, 1, 4, 0, 3, 3, 4, 3, 1, 2, 0, 2, 1, 4, 3, 4, 0, 3, 2, 4, 1, 3, 3, 2, 0, 2, 3, 4, 3, 1, 4, 1, 3, 3, 4, 4, 1, 4, 4, 0, 0, 2, 1, 4, 1, 0, 1, 4, 2, 2, 3, 2, 4, 2, 0, 1, 4, 3, 1, 3, 4, 0, 0, 4, 3, 2, 0, 3, 2, 3, 2, 2, 4, 3, 0, 4, 3, 0, 0, 3, 1, 2, 2, 3, 1, 0, 2, 0, 1, 0, 2, 4, 3, 3, 4, 3] pubkeycol757 = [0, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 4, 1, 2, 4, 4, 3, 4, 4, 3, 3, 3, 2, 1, 1, 4, 4, 0, 2, 3, 4, 3, 1, 2, 4, 4, 4, 4, 1, 1, 1, 4, 3, 0, 3, 3, 1, 2, 4, 1, 3, 4, 2, 0, 1, 0, 3, 0, 2, 0, 0, 3, 1, 3, 0, 1, 3, 1, 3, 1, 4, 3, 2, 4, 2, 0, 3, 1, 0, 0, 2, 4, 1, 0, 0, 2, 3, 2, 0, 4, 1, 0, 2, 4, 2, 4, 0, 0, 3, 0, 1, 2, 0, 3, 4, 3, 0, 4, 3, 1, 2, 0, 1, 0, 4, 4, 2, 3, 2, 1, 4, 0, 2, 4, 4, 1, 4, 3, 2, 2, 2, 1, 1, 1, 4, 2, 2, 1, 1, 3, 0, 4, 2, 0, 2, 1, 3, 3, 0, 2, 2, 1, 1, 2, 4, 1, 0, 1, 2, 2, 4, 4, 1, 3, 2, 0, 3, 0, 3, 0, 0, 3, 2, 1, 1, 4, 2, 2, 0, 4, 2, 3, 3, 2, 1, 3, 1, 0, 3, 2, 0, 0, 1, 4, 2, 0, 4, 1, 0, 3, 1, 0, 4, 1, 4, 3, 1, 2, 4, 2, 4, 1, 3, 3, 1, 0, 0, 2, 4, 0, 1, 1, 1, 4, 0, 1, 2, 1, 0, 2, 4, 0, 1, 3, 3, 1, 2, 2, 1, 3, 2, 2, 1, 4, 3, 0, 1, 0, 4, 2, 4, 0, 3, 3, 0, 4, 4, 3, 3, 4, 4, 1, 1, 4, 1, 0, 4, 0, 3, 4, 0, 4, 2, 1, 1, 4, 2, 0, 2, 3, 3, 1, 4, 4, 0, 0, 4, 2, 2, 3, 1, 0, 0, 2, 4, 2, 3, 3, 3, 4, 4, 3, 2, 3, 1, 1, 2, 1, 3, 0, 4, 2, 3, 0, 1, 2, 0, 4, 0] pubkeycol758 = [0, 1, 4, 4, 4, 1, 1, 0, 1, 2, 3, 2, 4, 4, 4, 0, 3, 2, 2, 3, 1, 2, 4, 1, 0, 0, 2, 0, 2, 4, 4, 2, 2, 4, 2, 3, 3, 4, 2, 1, 1, 4, 3, 2, 4, 1, 3, 4, 3, 1, 3, 2, 0, 2, 2, 3, 3, 0, 3, 3, 2, 3, 0, 1, 2, 0, 3, 4, 2, 3, 1, 2, 0, 4, 0, 0, 3, 1, 4, 2, 3, 3, 2, 0, 1, 4, 2, 1, 1, 2, 3, 0, 3, 3, 2, 3, 0, 0, 0, 2, 2, 3, 4, 2, 1, 0, 1, 3, 3, 2, 0, 3, 0, 2, 4, 0, 3, 1, 3, 2, 3, 3, 1, 0, 3, 3, 0, 1, 1, 0, 4, 0, 2, 4, 1, 2, 3, 3, 0, 1, 4, 3, 1, 1, 3, 4, 1, 4, 0, 1, 0, 0, 4, 2, 1, 2, 3, 0, 3, 4, 3, 0, 1, 4, 1, 1, 0, 2, 3, 2, 1, 4, 0, 3, 1, 0, 0, 1, 2, 2, 4, 2, 4, 1, 2, 1, 4, 0, 2, 0, 4, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 3, 0, 1, 2, 3, 2, 3, 4, 1, 2, 1, 3, 4, 4, 0, 1, 0, 2, 3, 3, 3, 4, 3, 1, 1, 1, 4, 4, 1, 4, 2, 3, 0, 4, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 4, 0, 0, 3, 4, 2, 3, 3, 0, 1, 0, 3, 2, 4, 2, 3, 0, 2, 1, 4, 0, 2, 1, 2, 0, 4, 3, 4, 2, 1, 2, 0, 3, 1, 0, 4, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 4, 4, 1, 4, 0, 2, 3, 1, 4, 2, 2, 4, 1, 2, 0, 0, 2, 0, 1, 2, 3, 1, 2, 3, 3, 0, 1, 1] pubkeycol759 = [1, 2, 3, 3, 2, 2, 2, 1, 0, 2, 3, 2, 0, 0, 1, 1, 0, 3, 1, 0, 3, 0, 4, 1, 3, 2, 3, 3, 1, 1, 4, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 4, 3, 4, 0, 2, 3, 3, 4, 0, 4, 3, 0, 1, 4, 1, 4, 3, 0, 4, 2, 0, 3, 4, 1, 3, 2, 1, 2, 4, 2, 3, 1, 4, 0, 2, 1, 4, 2, 3, 1, 3, 4, 2, 4, 0, 4, 2, 3, 2, 1, 2, 4, 1, 0, 0, 3, 2, 2, 2, 0, 1, 3, 0, 3, 3, 3, 4, 0, 4, 3, 0, 2, 0, 2, 4, 0, 1, 1, 0, 0, 3, 1, 3, 2, 3, 4, 2, 2, 3, 0, 2, 1, 3, 1, 3, 1, 0, 2, 0, 1, 3, 2, 3, 2, 4, 3, 1, 0, 0, 0, 1, 3, 2, 3, 0, 0, 0, 3, 4, 2, 0, 1, 2, 3, 3, 4, 3, 0, 2, 4, 0, 3, 3, 2, 4, 4, 0, 2, 4, 2, 4, 3, 3, 4, 4, 3, 4, 4, 1, 0, 3, 2, 2, 1, 0, 4, 2, 3, 2, 0, 4, 0, 3, 0, 2, 2, 0, 4, 4, 3, 1, 1, 3, 4, 0, 4, 0, 1, 3, 3, 4, 2, 0, 2, 0, 1, 1, 4, 4, 2, 4, 1, 2, 3, 1, 1, 2, 1, 3, 0, 1, 2, 3, 4, 2, 3, 0, 2, 2, 1, 2, 0, 4, 2, 0, 2, 4, 1, 3, 3, 3, 1, 3, 3, 3, 2, 1, 4, 0, 4, 0, 2, 0, 4, 3, 3, 2, 0, 0, 0, 1, 4, 4, 4, 0, 4, 2, 1, 4, 4, 2, 4, 1, 4, 1, 0, 1, 2, 1, 2, 3, 1, 1, 2, 2, 1, 3, 4, 0, 0, 1, 4, 0, 3, 4, 1, 3, 0] pubkeycol760 = [0, 1, 2, 3, 4, 2, 3, 1, 4, 1, 1, 0, 4, 2, 3, 2, 3, 1, 0, 0, 0, 2, 4, 2, 1, 0, 3, 2, 0, 4, 2, 4, 2, 3, 2, 4, 2, 1, 2, 3, 1, 1, 0, 4, 3, 2, 1, 2, 0, 0, 0, 3, 0, 1, 1, 0, 2, 1, 1, 4, 4, 4, 0, 1, 2, 1, 2, 4, 4, 0, 1, 0, 0, 1, 4, 2, 1, 0, 1, 0, 2, 0, 1, 0, 4, 2, 2, 4, 0, 3, 2, 4, 3, 2, 2, 4, 0, 4, 3, 1, 0, 2, 1, 1, 4, 0, 2, 4, 1, 1, 1, 0, 3, 1, 1, 3, 3, 4, 1, 4, 2, 2, 1, 1, 0, 1, 0, 1, 4, 4, 4, 2, 1, 0, 0, 3, 0, 0, 1, 2, 2, 1, 0, 2, 4, 4, 0, 4, 3, 3, 2, 4, 4, 3, 1, 4, 4, 4, 0, 2, 2, 0, 1, 1, 2, 4, 3, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 4, 1, 2, 2, 3, 2, 1, 4, 3, 2, 3, 4, 3, 2, 1, 2, 0, 2, 4, 2, 2, 0, 3, 4, 0, 4, 4, 2, 2, 0, 1, 0, 3, 2, 4, 0, 0, 1, 3, 0, 1, 4, 1, 3, 1, 3, 1, 1, 3, 3, 0, 0, 3, 1, 2, 1, 0, 3, 3, 0, 1, 4, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 3, 3, 4, 2, 0, 2, 4, 0, 3, 2, 1, 3, 4, 2, 4, 2, 2, 1, 0, 0, 1, 2, 4, 2, 0, 2, 1, 1, 3, 4, 2, 0, 3, 0, 3, 0, 1, 2, 2, 0, 4, 2, 1, 1, 1, 0, 0, 2, 0, 3, 3, 1, 0, 1, 3, 3, 1, 1, 2, 4, 3, 1, 4, 3, 2, 3] pubkeycol761 = [4, 4, 0, 1, 1, 3, 3, 2, 4, 2, 4, 4, 2, 3, 0, 3, 1, 4, 2, 1, 4, 4, 3, 1, 3, 2, 0, 4, 1, 3, 4, 0, 2, 3, 3, 3, 3, 1, 2, 1, 1, 1, 1, 3, 1, 4, 0, 0, 1, 4, 4, 1, 4, 3, 4, 3, 0, 3, 4, 4, 4, 3, 1, 2, 2, 1, 0, 1, 1, 4, 3, 4, 2, 3, 3, 3, 2, 0, 0, 2, 2, 0, 1, 1, 1, 3, 1, 4, 1, 1, 4, 3, 4, 1, 3, 3, 4, 0, 3, 4, 1, 4, 2, 2, 4, 1, 3, 2, 0, 3, 0, 2, 4, 1, 1, 4, 0, 3, 3, 1, 3, 4, 3, 0, 4, 0, 2, 0, 2, 1, 4, 3, 0, 0, 2, 2, 0, 4, 1, 2, 1, 3, 3, 3, 2, 2, 0, 3, 0, 4, 1, 0, 0, 0, 2, 3, 3, 4, 1, 2, 3, 0, 1, 4, 0, 0, 4, 0, 0, 0, 2, 4, 4, 1, 2, 1, 3, 4, 3, 3, 0, 3, 4, 4, 4, 3, 1, 2, 4, 0, 0, 0, 3, 0, 2, 0, 2, 2, 3, 1, 2, 1, 3, 1, 3, 0, 1, 2, 0, 4, 4, 3, 2, 4, 3, 2, 1, 4, 1, 1, 4, 1, 0, 1, 2, 1, 1, 2, 2, 4, 0, 4, 3, 4, 0, 2, 0, 3, 2, 0, 2, 4, 4, 2, 1, 4, 3, 3, 0, 2, 2, 3, 0, 1, 0, 2, 3, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 4, 3, 3, 4, 1, 4, 1, 0, 1, 0, 0, 1, 1, 4, 1, 2, 0, 1, 3, 3, 4, 4, 3, 2, 0, 4, 3, 1, 3, 3, 2, 2, 4, 1, 0, 3, 0, 0, 2, 4, 2, 4, 2, 1, 0, 3, 1, 1, 2, 4, 1] pubkeycol762 = [3, 0, 1, 2, 1, 0, 2, 4, 0, 2, 4, 3, 4, 4, 1, 2, 0, 0, 2, 0, 2, 0, 3, 0, 0, 4, 4, 0, 3, 0, 0, 1, 0, 4, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 4, 3, 4, 3, 3, 0, 0, 2, 4, 4, 2, 3, 0, 4, 4, 2, 0, 0, 1, 4, 1, 0, 2, 1, 4, 2, 0, 3, 1, 0, 1, 3, 1, 0, 1, 3, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 3, 1, 4, 2, 1, 3, 2, 1, 0, 0, 2, 4, 0, 0, 3, 4, 1, 0, 2, 0, 4, 0, 3, 4, 0, 0, 3, 3, 4, 4, 3, 3, 1, 0, 2, 1, 0, 0, 1, 3, 0, 1, 4, 1, 1, 3, 0, 4, 3, 2, 1, 1, 3, 1, 2, 1, 2, 4, 0, 2, 4, 1, 4, 1, 0, 3, 3, 2, 1, 4, 4, 0, 3, 3, 3, 4, 0, 3, 0, 1, 3, 4, 4, 2, 3, 3, 3, 2, 4, 4, 1, 1, 3, 4, 0, 2, 4, 0, 3, 3, 4, 2, 3, 3, 0, 4, 2, 4, 0, 2, 1, 1, 2, 0, 1, 4, 3, 2, 4, 1, 3, 1, 4, 4, 1, 3, 1, 1, 3, 2, 2, 3, 2, 3, 0, 0, 3, 1, 0, 2, 3, 3, 0, 3, 4, 1, 3, 1, 4, 3, 2, 1, 2, 3, 0, 0, 3, 4, 3, 4, 4, 0, 0, 4, 0, 3, 3, 0, 1, 0, 1, 0, 4, 2, 3, 0, 2, 0, 2, 1, 0, 2, 0, 3, 0, 2, 0, 0, 3, 4, 0, 2, 2, 4, 0, 4, 1, 4, 4, 0, 4, 4, 4, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol763 = [2, 0, 4, 0, 2, 0, 4, 4, 1, 2, 3, 1, 4, 0, 3, 3, 0, 3, 2, 4, 3, 4, 0, 1, 3, 3, 2, 2, 0, 1, 3, 4, 1, 0, 1, 4, 1, 1, 0, 0, 1, 4, 1, 2, 3, 0, 3, 4, 4, 3, 2, 4, 0, 3, 0, 0, 2, 2, 1, 2, 0, 0, 2, 3, 1, 2, 0, 1, 4, 4, 4, 3, 2, 0, 3, 2, 0, 4, 4, 4, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 4, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 3, 0, 1, 3, 0, 4, 3, 3, 2, 3, 1, 2, 1, 0, 4, 4, 3, 0, 4, 4, 3, 4, 2, 3, 3, 4, 2, 1, 2, 1, 2, 2, 4, 2, 4, 4, 2, 4, 0, 3, 4, 2, 2, 4, 4, 1, 2, 0, 4, 0, 1, 4, 3, 0, 3, 2, 4, 2, 0, 0, 3, 0, 3, 0, 4, 1, 3, 1, 4, 0, 0, 1, 4, 1, 1, 1, 0, 0, 3, 2, 2, 3, 4, 2, 3, 0, 3, 3, 1, 4, 3, 1, 2, 4, 0, 2, 1, 1, 0, 2, 4, 1, 4, 2, 1, 4, 2, 4, 2, 2, 4, 0, 3, 3, 1, 0, 2, 0, 3, 3, 0, 2, 0, 3, 4, 2, 3, 4, 0, 2, 2, 3, 0, 1, 1, 1, 2, 0, 4, 1, 0, 0, 4, 0, 0, 1, 4, 3, 1, 0, 0, 1, 2, 2, 0, 1, 0, 4, 1, 3, 0, 1, 0, 2, 4, 3, 2, 1, 4, 3, 1, 4, 4, 3, 0, 2, 2, 3, 2, 1, 4, 2, 1, 2, 4, 1, 2, 3, 2, 3, 1, 2, 0, 3, 0, 0, 3, 2, 2, 2, 2, 4, 0, 2, 2, 0] pubkeycol764 = [2, 4, 0, 3, 3, 4, 3, 2, 3, 2, 1, 2, 1, 3, 3, 1, 4, 2, 3, 2, 2, 3, 3, 3, 2, 3, 2, 1, 1, 3, 2, 3, 4, 0, 1, 0, 2, 0, 3, 2, 3, 0, 0, 3, 3, 0, 3, 3, 4, 1, 4, 3, 3, 1, 4, 4, 1, 1, 1, 3, 1, 1, 3, 4, 2, 4, 0, 4, 2, 2, 0, 4, 4, 0, 2, 0, 1, 0, 1, 1, 3, 2, 0, 1, 1, 0, 0, 4, 4, 4, 1, 2, 4, 1, 4, 3, 2, 2, 0, 1, 3, 0, 2, 3, 0, 2, 3, 1, 3, 0, 0, 0, 1, 3, 4, 0, 0, 4, 4, 3, 1, 3, 0, 2, 0, 1, 1, 2, 1, 2, 2, 4, 1, 4, 2, 0, 2, 3, 4, 0, 4, 3, 0, 3, 4, 3, 1, 2, 2, 4, 3, 3, 2, 3, 2, 2, 3, 4, 1, 3, 3, 2, 2, 2, 2, 4, 2, 2, 2, 3, 1, 4, 0, 4, 0, 2, 4, 2, 1, 2, 0, 2, 1, 4, 1, 3, 4, 4, 1, 3, 0, 3, 0, 1, 1, 3, 2, 2, 3, 3, 4, 4, 0, 4, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 1, 1, 1, 0, 4, 4, 3, 0, 2, 2, 3, 0, 4, 2, 0, 3, 0, 4, 1, 3, 3, 0, 0, 2, 4, 4, 0, 1, 4, 2, 0, 1, 2, 4, 2, 4, 2, 2, 2, 1, 4, 0, 3, 3, 1, 2, 1, 3, 3, 0, 4, 4, 1, 4, 1, 3, 3, 1, 1, 3, 3, 2, 1, 3, 3, 3, 4, 4, 1, 4, 3, 1, 4, 1, 2, 2, 2, 3, 0, 4, 0, 4, 4, 4, 4, 0, 1, 3, 1, 1, 0, 2, 1, 4, 3, 3, 1, 4, 3, 2, 4, 2, 3, 2, 3, 4] pubkeycol765 = [2, 2, 2, 4, 0, 2, 2, 0, 3, 1, 4, 0, 1, 0, 0, 1, 1, 0, 4, 4, 4, 1, 1, 0, 0, 4, 3, 3, 0, 0, 3, 4, 2, 1, 4, 0, 0, 2, 1, 4, 2, 1, 3, 4, 4, 2, 3, 3, 0, 2, 4, 3, 0, 2, 1, 4, 4, 1, 0, 4, 3, 3, 0, 4, 0, 4, 2, 1, 1, 0, 4, 4, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 4, 1, 1, 4, 0, 3, 2, 1, 4, 0, 0, 3, 0, 1, 3, 2, 3, 2, 2, 0, 4, 4, 4, 3, 0, 4, 3, 3, 3, 2, 2, 1, 4, 3, 0, 0, 1, 4, 2, 1, 0, 3, 2, 3, 4, 2, 4, 1, 0, 0, 2, 2, 2, 4, 2, 4, 1, 3, 1, 2, 1, 3, 1, 3, 3, 0, 0, 0, 4, 1, 1, 2, 2, 0, 2, 3, 4, 2, 0, 4, 3, 3, 2, 0, 2, 0, 1, 1, 3, 4, 3, 4, 4, 2, 4, 0, 4, 3, 0, 3, 4, 2, 3, 2, 3, 1, 1, 4, 0, 1, 0, 0, 4, 3, 2, 4, 1, 3, 1, 4, 3, 1, 0, 3, 0, 2, 2, 4, 3, 3, 1, 1, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 4, 1, 4, 2, 2, 2, 2, 3, 3, 1, 1, 2, 0, 4, 4, 0, 3, 1, 1, 0, 1, 2, 2, 4, 2, 2, 3, 0, 0, 3, 3, 2, 0, 1, 3, 4, 0, 3, 1, 1, 1, 0, 4, 4, 0, 0, 2, 3, 1, 0, 4, 0, 0, 3, 0, 4, 3, 4, 3, 1, 2, 4, 3, 4, 3, 3, 4, 4, 0, 0, 0, 2, 3, 2, 4, 1, 4, 2, 2, 0, 0, 2] pubkeycol766 = [2, 1, 2, 3, 2, 3, 3, 4, 2, 0, 1, 0, 3, 2, 1, 0, 2, 3, 0, 0, 3, 4, 0, 4, 2, 1, 4, 0, 0, 2, 2, 3, 1, 2, 1, 2, 0, 2, 3, 1, 4, 2, 2, 2, 3, 0, 3, 1, 4, 2, 4, 2, 1, 1, 1, 1, 3, 4, 4, 1, 0, 0, 0, 1, 4, 4, 4, 4, 1, 0, 3, 3, 1, 4, 4, 1, 4, 1, 1, 2, 0, 3, 3, 4, 4, 2, 2, 2, 0, 3, 0, 3, 3, 0, 2, 4, 2, 3, 1, 0, 1, 2, 1, 2, 0, 1, 2, 3, 4, 4, 1, 4, 1, 3, 1, 2, 4, 0, 0, 1, 1, 2, 2, 1, 3, 3, 1, 0, 3, 0, 3, 3, 1, 4, 1, 3, 0, 3, 4, 0, 0, 0, 3, 2, 4, 1, 1, 4, 4, 0, 2, 1, 3, 4, 2, 0, 1, 4, 0, 3, 3, 1, 1, 4, 0, 2, 2, 4, 3, 0, 2, 2, 3, 0, 4, 4, 0, 0, 4, 0, 3, 2, 2, 4, 3, 4, 1, 2, 0, 0, 1, 2, 2, 0, 4, 1, 2, 2, 4, 4, 0, 4, 2, 1, 2, 0, 2, 2, 0, 1, 0, 4, 3, 1, 4, 1, 0, 4, 0, 4, 1, 4, 0, 4, 1, 1, 1, 0, 2, 1, 1, 0, 3, 0, 0, 1, 4, 3, 2, 0, 1, 2, 0, 4, 2, 4, 2, 3, 4, 4, 4, 0, 4, 1, 2, 1, 3, 1, 3, 1, 3, 4, 1, 0, 2, 4, 2, 4, 1, 1, 2, 3, 2, 2, 1, 4, 0, 4, 0, 0, 1, 3, 0, 2, 2, 4, 0, 4, 1, 0, 0, 3, 1, 4, 2, 1, 1, 1, 4, 2, 3, 3, 2, 1, 1, 0, 2, 1, 1, 1, 2, 4, 0, 3, 2, 2, 2, 0, 4, 2] pubkeycol767 = [1, 3, 4, 1, 1, 1, 1, 2, 4, 1, 2, 2, 2, 1, 0, 4, 4, 3, 4, 1, 1, 0, 2, 2, 2, 3, 3, 3, 0, 3, 3, 1, 4, 0, 4, 2, 0, 0, 1, 3, 4, 4, 0, 4, 2, 2, 1, 0, 2, 2, 1, 4, 3, 0, 2, 0, 2, 2, 3, 4, 3, 4, 1, 1, 0, 3, 3, 3, 2, 1, 2, 1, 4, 0, 4, 2, 4, 4, 2, 4, 3, 3, 4, 3, 4, 0, 1, 3, 2, 2, 2, 2, 4, 3, 3, 1, 0, 1, 0, 3, 1, 3, 4, 0, 4, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 4, 4, 1, 1, 0, 2, 3, 4, 0, 1, 3, 1, 3, 4, 1, 0, 2, 3, 4, 1, 1, 3, 4, 4, 3, 4, 2, 1, 0, 3, 3, 0, 4, 2, 3, 3, 0, 1, 3, 0, 2, 0, 3, 4, 1, 0, 3, 1, 0, 2, 3, 2, 1, 1, 2, 3, 0, 3, 4, 4, 4, 1, 1, 4, 0, 0, 1, 3, 0, 3, 2, 4, 3, 3, 3, 2, 4, 4, 2, 3, 4, 3, 3, 3, 4, 1, 3, 4, 2, 2, 3, 4, 1, 1, 0, 0, 1, 2, 2, 4, 3, 1, 1, 0, 1, 3, 3, 1, 2, 1, 2, 0, 3, 1, 2, 4, 1, 1, 4, 1, 4, 2, 1, 1, 4, 1, 2, 3, 3, 3, 4, 3, 0, 2, 0, 3, 2, 4, 0, 1, 3, 1, 2, 3, 4, 4, 3, 3, 0, 4, 1, 4, 0, 1, 2, 3, 4, 0, 1, 2, 1, 4, 1, 3, 0, 3, 4, 0, 4, 3, 3, 1, 1, 1, 2, 1, 1, 1, 3, 4, 1, 3, 1, 4, 3, 0, 2, 2, 1, 0, 4, 0, 4, 2, 1, 3, 4, 4, 2, 1, 4, 3, 3, 0, 2] pubkeycol768 = [3, 3, 3, 0, 0, 0, 0, 1, 3, 3, 4, 3, 4, 2, 3, 4, 1, 4, 0, 3, 1, 3, 3, 4, 4, 2, 3, 2, 4, 2, 2, 4, 2, 4, 4, 3, 2, 1, 2, 3, 4, 2, 1, 4, 3, 2, 2, 2, 0, 4, 3, 1, 2, 2, 4, 0, 0, 1, 3, 3, 2, 3, 3, 4, 4, 2, 3, 1, 2, 1, 2, 4, 3, 0, 2, 3, 3, 1, 3, 2, 2, 3, 0, 4, 0, 2, 0, 3, 2, 4, 4, 3, 2, 1, 2, 3, 4, 0, 2, 1, 2, 4, 3, 2, 0, 4, 0, 0, 3, 3, 1, 2, 2, 1, 1, 1, 2, 0, 2, 4, 1, 0, 4, 2, 0, 4, 4, 3, 4, 2, 4, 0, 1, 2, 1, 2, 0, 4, 3, 1, 0, 3, 3, 1, 2, 3, 1, 0, 1, 1, 4, 2, 0, 4, 2, 3, 3, 1, 2, 1, 4, 3, 4, 0, 4, 2, 1, 4, 4, 1, 1, 0, 4, 4, 2, 1, 0, 4, 2, 0, 0, 2, 3, 0, 0, 0, 4, 3, 3, 3, 2, 4, 4, 0, 4, 3, 0, 2, 3, 4, 1, 3, 3, 2, 4, 2, 0, 3, 0, 0, 0, 1, 4, 3, 3, 4, 4, 3, 1, 1, 4, 4, 0, 0, 2, 0, 0, 4, 0, 2, 0, 4, 4, 1, 1, 0, 0, 0, 4, 4, 2, 1, 3, 4, 1, 1, 3, 1, 3, 4, 4, 0, 3, 2, 0, 3, 4, 2, 1, 3, 2, 2, 3, 2, 3, 1, 1, 1, 2, 0, 4, 1, 3, 1, 0, 1, 3, 0, 4, 0, 3, 3, 1, 1, 3, 2, 2, 3, 4, 4, 4, 0, 3, 4, 1, 1, 0, 4, 1, 3, 4, 1, 1, 2, 4, 4, 3, 3, 3, 3, 4, 4, 2, 3, 3, 2, 0, 3, 0, 1] pubkeycol769 = [0, 1, 1, 4, 4, 3, 1, 0, 2, 2, 3, 2, 3, 0, 3, 0, 1, 0, 1, 0, 1, 1, 2, 0, 4, 2, 0, 4, 1, 0, 2, 0, 0, 3, 2, 3, 0, 2, 3, 1, 0, 2, 3, 0, 3, 3, 1, 4, 0, 1, 1, 2, 1, 1, 0, 0, 3, 0, 3, 2, 4, 2, 3, 0, 2, 0, 4, 4, 3, 4, 2, 3, 1, 0, 4, 4, 1, 4, 3, 3, 3, 0, 1, 2, 0, 1, 0, 4, 2, 1, 4, 0, 3, 1, 3, 2, 0, 3, 4, 2, 0, 2, 0, 3, 1, 4, 2, 3, 3, 0, 3, 1, 1, 3, 4, 1, 4, 4, 1, 4, 0, 0, 2, 3, 2, 0, 0, 3, 1, 4, 0, 3, 4, 0, 4, 2, 4, 4, 4, 0, 1, 0, 1, 4, 4, 0, 1, 1, 2, 3, 3, 4, 1, 1, 2, 2, 0, 2, 3, 1, 4, 0, 0, 4, 0, 4, 1, 4, 1, 3, 1, 4, 4, 4, 1, 3, 3, 1, 2, 2, 3, 4, 4, 0, 0, 4, 0, 4, 4, 3, 2, 1, 3, 3, 4, 2, 2, 1, 4, 2, 3, 0, 0, 0, 0, 3, 3, 0, 0, 4, 3, 4, 2, 2, 4, 3, 2, 2, 2, 3, 2, 2, 1, 4, 0, 3, 4, 2, 4, 3, 4, 2, 3, 3, 2, 4, 2, 3, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 2, 3, 1, 4, 3, 1, 0, 4, 2, 2, 1, 3, 0, 4, 2, 4, 4, 0, 1, 2, 1, 3, 4, 4, 2, 3, 2, 3, 2, 4, 2, 3, 4, 1, 2, 1, 3, 4, 2, 4, 2, 3, 3, 4, 0, 2, 4, 3, 4, 4, 1, 0, 0, 3, 0, 2, 2, 3, 0, 3, 0, 0, 3, 1, 0, 0, 1, 0, 0, 3, 0, 0] pubkeycol770 = [0, 4, 2, 4, 2, 3, 4, 0, 2, 2, 4, 2, 2, 1, 4, 3, 0, 3, 0, 4, 1, 3, 1, 4, 3, 3, 0, 3, 0, 1, 4, 4, 2, 0, 2, 4, 3, 1, 0, 2, 1, 0, 3, 0, 4, 3, 1, 4, 1, 0, 2, 1, 4, 2, 3, 4, 4, 4, 3, 2, 1, 1, 2, 0, 1, 0, 4, 2, 2, 0, 3, 1, 2, 0, 0, 1, 3, 1, 4, 0, 0, 4, 0, 3, 1, 1, 4, 0, 1, 0, 1, 0, 0, 0, 0, 4, 4, 2, 1, 3, 3, 1, 1, 1, 1, 4, 0, 4, 4, 0, 2, 4, 3, 1, 3, 3, 0, 0, 4, 3, 1, 2, 0, 0, 1, 3, 4, 0, 1, 1, 0, 2, 4, 3, 4, 4, 4, 1, 1, 1, 0, 0, 3, 4, 3, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 4, 0, 4, 1, 1, 2, 2, 4, 0, 0, 0, 3, 1, 4, 3, 2, 2, 2, 1, 4, 1, 1, 1, 2, 2, 1, 1, 3, 4, 2, 1, 3, 1, 2, 3, 2, 4, 1, 0, 4, 3, 3, 4, 2, 1, 4, 3, 2, 4, 0, 1, 1, 2, 2, 1, 2, 2, 3, 2, 1, 0, 4, 0, 2, 2, 1, 3, 1, 0, 2, 4, 2, 2, 3, 0, 1, 1, 4, 1, 1, 4, 1, 3, 4, 3, 0, 3, 2, 2, 2, 1, 0, 2, 4, 4, 2, 4, 3, 1, 3, 2, 3, 0, 4, 0, 1, 3, 4, 3, 0, 3, 0, 0, 0, 3, 4, 0, 3, 3, 3, 4, 0, 3, 4, 3, 4, 0, 0, 3, 2, 1, 2, 2, 4, 1, 0, 3, 4, 4, 2, 1, 3, 3, 2, 1, 4, 3, 2, 3, 0, 2, 1, 4, 3, 0, 0, 1, 1, 2, 3, 0, 3, 3, 3, 4] pubkeycol771 = [3, 3, 1, 1, 0, 2, 3, 4, 2, 2, 2, 2, 0, 3, 0, 3, 2, 1, 1, 2, 2, 0, 4, 0, 4, 3, 2, 3, 1, 3, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 3, 3, 2, 3, 2, 0, 0, 2, 1, 1, 0, 1, 4, 3, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 4, 3, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 4, 4, 1, 0, 0, 3, 1, 4, 3, 4, 2, 0, 0, 2, 4, 1, 3, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 1, 1, 0, 3, 1, 2, 0, 1, 1, 1, 0, 0, 4, 3, 2, 3, 1, 0, 1, 4, 4, 0, 1, 1, 2, 4, 4, 0, 4, 4, 2, 0, 2, 4, 4, 0, 4, 1, 0, 1, 1, 1, 1, 1, 0, 2, 4, 2, 4, 0, 2, 4, 2, 1, 3, 4, 3, 3, 0, 0, 2, 2, 1, 4, 0, 3, 0, 2, 3, 0, 3, 0, 0, 4, 0, 1, 4, 0, 0, 4, 2, 4, 2, 1, 2, 0, 2, 0, 3, 3, 0, 0, 0, 2, 3, 4, 4, 3, 1, 2, 3, 4, 1, 4, 2, 4, 3, 1, 1, 4, 3, 3, 3, 2, 2, 0, 4, 0, 3, 0, 1, 1, 0, 0, 2, 4, 1, 2, 3, 3, 0, 1, 3, 3, 2, 1, 3, 0, 1, 3, 0, 3, 1, 4, 0, 3, 0, 3, 3, 3, 4, 2, 0, 3, 2, 2, 2, 0, 1, 1, 4, 2, 3, 2, 2, 0, 0, 3, 0, 0, 2, 0, 3, 0, 2, 0, 0, 4, 2, 3, 4, 0, 1, 3, 0, 3, 4, 1, 2, 1, 1, 1, 2, 2, 0, 1, 3, 1, 3, 4, 0, 3, 2] pubkeycol772 = [1, 3, 1, 0, 3, 0, 0, 1, 2, 1, 4, 0, 4, 0, 1, 2, 1, 1, 3, 4, 4, 3, 2, 4, 3, 4, 3, 0, 4, 2, 1, 3, 0, 2, 1, 2, 4, 1, 4, 3, 3, 0, 3, 0, 0, 2, 0, 1, 2, 3, 1, 3, 3, 4, 2, 0, 4, 3, 4, 0, 1, 0, 0, 1, 1, 0, 4, 1, 2, 3, 0, 1, 0, 0, 3, 0, 3, 0, 4, 2, 3, 2, 0, 4, 2, 3, 0, 3, 4, 2, 0, 2, 0, 0, 4, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 3, 1, 1, 0, 3, 2, 4, 1, 4, 0, 2, 1, 0, 4, 4, 1, 2, 4, 3, 1, 1, 0, 2, 4, 4, 2, 0, 0, 0, 2, 1, 2, 2, 2, 3, 3, 1, 2, 2, 1, 1, 3, 0, 4, 0, 3, 2, 1, 0, 3, 2, 0, 1, 3, 0, 1, 4, 2, 1, 4, 1, 3, 0, 2, 4, 2, 1, 3, 1, 2, 1, 0, 1, 1, 1, 4, 2, 0, 2, 2, 2, 4, 2, 4, 2, 0, 1, 0, 4, 2, 2, 0, 0, 0, 2, 4, 2, 2, 0, 4, 2, 2, 3, 4, 2, 4, 4, 4, 2, 0, 2, 0, 2, 3, 0, 3, 1, 4, 1, 1, 0, 4, 0, 0, 4, 2, 1, 1, 4, 0, 3, 0, 0, 4, 2, 1, 3, 0, 2, 2, 4, 3, 0, 4, 3, 4, 0, 3, 0, 1, 1, 2, 1, 3, 2, 4, 2, 3, 4, 1, 3, 3, 0, 0, 1, 2, 2, 3, 2, 3, 4, 4, 2, 3, 1, 4, 4, 3, 4, 2, 2, 4, 0, 2, 2, 2, 4, 2, 1, 3, 1, 3, 4, 3, 4, 3, 3, 0, 1, 1, 4, 3, 4, 1, 3, 1, 1, 2, 2, 2, 0, 4, 4, 4] pubkeycol773 = [3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 1, 3, 1, 2, 4, 1, 2, 2, 3, 4, 1, 4, 0, 2, 2, 0, 1, 3, 1, 2, 1, 0, 0, 3, 1, 3, 2, 0, 3, 4, 3, 0, 2, 3, 1, 3, 2, 4, 0, 4, 3, 0, 0, 0, 2, 2, 1, 0, 0, 1, 4, 1, 0, 3, 4, 0, 1, 3, 1, 4, 4, 2, 2, 1, 0, 3, 1, 2, 3, 0, 0, 0, 0, 0, 0, 4, 4, 3, 1, 1, 4, 4, 4, 4, 2, 0, 3, 1, 2, 1, 0, 4, 4, 1, 0, 2, 0, 3, 3, 2, 1, 2, 1, 3, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 4, 2, 1, 3, 2, 3, 0, 2, 1, 1, 1, 3, 2, 3, 0, 3, 1, 1, 3, 4, 4, 0, 0, 0, 1, 1, 1, 4, 0, 2, 3, 0, 1, 0, 4, 2, 0, 1, 2, 0, 3, 3, 2, 1, 4, 2, 4, 2, 4, 2, 1, 4, 4, 1, 0, 3, 2, 2, 3, 0, 2, 2, 4, 3, 1, 0, 3, 3, 0, 4, 1, 1, 2, 0, 1, 1, 3, 1, 0, 3, 2, 1, 1, 1, 3, 3, 3, 0, 2, 4, 0, 3, 1, 1, 2, 1, 0, 0, 0, 2, 0, 3, 0, 2, 3, 1, 1, 2, 0, 0, 3, 4, 4, 1, 3, 3, 1, 4, 3, 2, 0, 4, 1, 3, 4, 0, 2, 1, 1, 1, 2, 3, 1, 3, 3, 3, 0, 4, 4, 1, 2, 2, 0, 4, 1, 2, 1, 2, 4, 3, 4, 3, 3, 2, 2, 4, 0, 1, 4, 4, 1, 4, 2, 2, 3, 2, 3, 0, 0, 3, 2, 4, 1, 3, 1, 3, 3, 0, 0, 2, 4, 2, 2, 4, 2, 0, 0, 2, 3, 0, 0, 3] pubkeycol774 = [0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 4, 1, 0, 4, 1, 0, 2, 4, 3, 1, 1, 0, 4, 2, 0, 3, 4, 0, 2, 0, 3, 2, 3, 2, 3, 0, 4, 4, 4, 2, 4, 1, 0, 3, 0, 1, 4, 1, 0, 0, 3, 1, 2, 1, 0, 2, 3, 3, 1, 4, 2, 3, 2, 2, 1, 2, 3, 0, 2, 4, 3, 1, 2, 3, 3, 4, 4, 3, 0, 2, 0, 4, 1, 2, 1, 4, 3, 4, 2, 1, 0, 3, 3, 4, 4, 2, 2, 4, 2, 3, 0, 2, 2, 2, 3, 2, 0, 2, 4, 0, 0, 4, 2, 4, 4, 1, 2, 4, 1, 2, 4, 2, 1, 3, 1, 1, 0, 3, 3, 2, 3, 1, 4, 1, 3, 2, 0, 4, 0, 0, 1, 3, 2, 1, 4, 4, 4, 4, 1, 1, 1, 0, 3, 3, 3, 3, 0, 2, 0, 2, 3, 3, 3, 4, 0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 3, 4, 3, 0, 4, 1, 4, 1, 0, 4, 1, 4, 3, 2, 2, 3, 3, 3, 0, 4, 1, 4, 1, 0, 0, 4, 1, 3, 3, 1, 3, 4, 0, 2, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 3, 1, 2, 0, 0, 0, 3, 3, 1, 0, 3, 1, 2, 4, 4, 0, 0, 3, 4, 4, 4, 4, 4, 1, 3, 1, 4, 4, 0, 3, 4, 4, 2, 2, 1, 1, 4, 1, 4, 4, 4, 0, 1, 1, 2, 3, 4, 2, 0, 3, 2, 0, 2, 4, 3, 3, 0, 0, 0, 0, 4, 2, 1, 4, 0, 3, 1, 0, 4, 4, 1, 3, 4, 3, 2, 3, 2, 0, 3, 1, 0, 4, 1, 2, 4, 4, 0, 1, 4, 0, 3, 3] pubkeycol775 = [0, 4, 1, 0, 0, 3, 1, 2, 4, 4, 3, 2, 3, 0, 1, 4, 3, 0, 3, 1, 2, 1, 2, 4, 3, 1, 4, 4, 2, 3, 4, 4, 1, 4, 1, 4, 1, 0, 1, 2, 0, 4, 1, 4, 0, 2, 3, 0, 1, 4, 3, 0, 2, 0, 0, 2, 0, 2, 2, 4, 2, 4, 2, 1, 3, 2, 3, 4, 4, 2, 3, 3, 3, 4, 2, 4, 4, 3, 0, 3, 0, 0, 2, 0, 1, 4, 4, 3, 0, 3, 1, 2, 0, 4, 0, 1, 0, 3, 3, 3, 1, 0, 0, 2, 1, 2, 0, 2, 0, 4, 1, 2, 1, 1, 4, 1, 2, 4, 0, 2, 4, 4, 0, 0, 4, 3, 0, 3, 3, 1, 2, 4, 2, 2, 3, 1, 1, 4, 1, 0, 2, 4, 0, 2, 4, 2, 1, 2, 3, 1, 3, 3, 1, 1, 4, 3, 3, 1, 4, 4, 4, 4, 3, 2, 2, 0, 4, 0, 1, 2, 4, 1, 3, 3, 3, 4, 1, 0, 2, 0, 3, 4, 3, 3, 3, 1, 4, 3, 3, 1, 0, 0, 1, 0, 3, 0, 3, 0, 3, 1, 2, 2, 4, 0, 1, 1, 3, 0, 1, 1, 0, 4, 2, 3, 0, 1, 4, 3, 0, 1, 1, 0, 3, 4, 1, 1, 3, 4, 4, 4, 3, 2, 0, 3, 4, 2, 3, 0, 2, 3, 3, 0, 0, 2, 4, 3, 3, 2, 1, 2, 1, 0, 3, 0, 2, 3, 1, 3, 3, 2, 3, 4, 2, 3, 1, 2, 1, 3, 3, 2, 0, 1, 4, 1, 0, 1, 0, 3, 1, 0, 1, 0, 2, 4, 3, 0, 3, 0, 3, 4, 4, 4, 0, 2, 0, 1, 4, 4, 0, 2, 0, 2, 1, 4, 1, 2, 1, 4, 0, 4, 1, 2, 1, 4, 3, 2, 3, 3, 0, 1] pubkeycol776 = [0, 0, 3, 4, 0, 2, 3, 4, 0, 2, 1, 4, 2, 2, 4, 3, 4, 0, 0, 1, 3, 4, 4, 1, 2, 3, 1, 1, 4, 0, 0, 3, 0, 2, 0, 2, 4, 2, 4, 4, 4, 1, 4, 3, 2, 2, 1, 1, 2, 2, 4, 0, 3, 2, 2, 4, 3, 0, 4, 2, 4, 1, 1, 2, 3, 4, 1, 1, 0, 4, 1, 2, 0, 0, 4, 4, 1, 3, 4, 4, 0, 0, 1, 2, 1, 3, 3, 0, 3, 3, 3, 3, 2, 1, 4, 2, 4, 4, 0, 4, 3, 4, 1, 3, 4, 3, 2, 0, 1, 2, 1, 1, 1, 1, 2, 3, 0, 4, 1, 2, 2, 4, 4, 1, 4, 1, 1, 4, 1, 4, 4, 1, 1, 4, 2, 2, 4, 0, 2, 0, 0, 0, 0, 3, 0, 4, 3, 0, 0, 3, 1, 4, 1, 0, 1, 0, 3, 3, 4, 0, 0, 2, 1, 0, 0, 3, 3, 0, 1, 1, 0, 2, 4, 1, 3, 3, 4, 2, 0, 2, 4, 2, 3, 2, 1, 3, 4, 2, 1, 0, 1, 1, 3, 1, 4, 2, 1, 0, 0, 1, 1, 2, 0, 1, 3, 2, 4, 4, 2, 4, 2, 3, 3, 0, 1, 3, 2, 4, 4, 2, 3, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 3, 2, 3, 0, 0, 3, 0, 1, 4, 4, 1, 3, 2, 3, 3, 1, 0, 2, 2, 1, 4, 2, 3, 3, 4, 3, 1, 2, 2, 4, 3, 2, 3, 0, 0, 1, 1, 2, 2, 4, 2, 4, 2, 1, 4, 4, 2, 4, 0, 0, 4, 2, 4, 0, 4, 3, 2, 2, 4, 4, 3, 1, 4, 4, 3, 4, 3, 2, 3, 2, 2, 0, 1, 0, 3, 1, 0, 4, 2, 2, 1, 4, 1, 0, 4, 4, 2, 3, 4] pubkeycol777 = [1, 4, 4, 4, 2, 2, 0, 0, 1, 1, 2, 4, 0, 2, 4, 4, 1, 4, 3, 4, 4, 4, 4, 3, 3, 1, 0, 2, 1, 1, 3, 3, 3, 1, 3, 0, 1, 2, 2, 2, 3, 4, 4, 1, 0, 4, 1, 1, 2, 2, 4, 3, 1, 4, 3, 1, 0, 3, 4, 3, 2, 1, 1, 1, 3, 2, 4, 0, 2, 3, 4, 4, 1, 1, 3, 2, 3, 2, 4, 1, 4, 2, 0, 3, 2, 0, 1, 3, 4, 0, 4, 2, 2, 0, 3, 0, 0, 4, 2, 4, 0, 4, 1, 4, 3, 3, 3, 3, 1, 0, 3, 1, 0, 4, 0, 3, 2, 0, 1, 2, 2, 2, 1, 3, 2, 1, 2, 0, 0, 0, 3, 4, 2, 4, 3, 2, 4, 3, 1, 4, 3, 4, 0, 0, 2, 4, 3, 2, 0, 4, 3, 2, 3, 2, 3, 3, 3, 2, 4, 1, 0, 0, 2, 3, 4, 4, 1, 2, 3, 4, 4, 0, 3, 3, 4, 0, 4, 3, 0, 1, 0, 3, 0, 3, 3, 3, 2, 4, 1, 0, 1, 2, 4, 4, 1, 3, 4, 1, 1, 0, 1, 2, 0, 4, 0, 1, 2, 4, 1, 0, 0, 0, 1, 1, 3, 1, 3, 4, 3, 0, 0, 4, 4, 1, 2, 1, 3, 4, 1, 3, 4, 0, 0, 0, 3, 0, 2, 3, 3, 0, 1, 3, 1, 2, 3, 0, 3, 0, 2, 3, 0, 0, 2, 1, 1, 3, 0, 0, 1, 3, 3, 0, 1, 0, 4, 1, 4, 3, 4, 3, 3, 1, 3, 2, 3, 1, 3, 0, 3, 2, 3, 2, 2, 2, 2, 3, 4, 2, 4, 4, 0, 3, 3, 1, 1, 0, 4, 1, 3, 3, 4, 1, 2, 3, 4, 3, 1, 1, 2, 3, 4, 2, 2, 0, 2, 2, 2, 4, 1, 2] pubkeycol778 = [3, 2, 4, 3, 4, 4, 2, 4, 3, 1, 0, 3, 4, 1, 2, 4, 0, 3, 4, 3, 0, 4, 0, 4, 4, 4, 2, 4, 1, 2, 0, 0, 3, 4, 1, 4, 3, 4, 2, 0, 1, 0, 0, 3, 1, 0, 1, 2, 3, 2, 0, 2, 1, 1, 1, 0, 4, 2, 3, 1, 4, 0, 0, 3, 0, 2, 0, 3, 0, 4, 1, 4, 4, 4, 4, 0, 0, 0, 3, 2, 3, 1, 3, 4, 3, 3, 2, 2, 1, 3, 3, 0, 1, 0, 2, 0, 4, 3, 3, 4, 4, 2, 4, 3, 2, 1, 1, 2, 2, 1, 2, 1, 3, 3, 2, 0, 0, 2, 4, 3, 2, 3, 0, 4, 2, 3, 1, 1, 3, 3, 1, 4, 0, 1, 2, 0, 3, 0, 3, 4, 2, 0, 1, 4, 2, 3, 1, 0, 4, 3, 1, 0, 2, 2, 4, 0, 3, 0, 3, 3, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 3, 3, 3, 1, 0, 0, 2, 0, 0, 1, 2, 0, 3, 1, 3, 1, 2, 2, 3, 0, 1, 1, 3, 2, 3, 0, 0, 3, 2, 1, 2, 2, 0, 0, 4, 2, 4, 3, 3, 4, 4, 0, 4, 1, 2, 0, 0, 1, 2, 1, 3, 0, 3, 3, 3, 1, 2, 4, 3, 0, 4, 3, 3, 0, 0, 4, 2, 3, 3, 0, 3, 0, 3, 3, 2, 2, 2, 1, 1, 0, 1, 3, 3, 3, 3, 4, 0, 4, 1, 2, 1, 0, 1, 2, 0, 3, 4, 1, 3, 1, 0, 4, 0, 0, 4, 1, 1, 4, 4, 4, 0, 4, 4, 4, 2, 3, 4, 4, 4, 1, 3, 4, 2, 2, 1, 4, 1, 2, 0, 4, 0, 0, 1, 4, 1, 2, 1, 1, 4, 4, 0, 0, 3, 2, 4, 3, 1] pubkeycol779 = [4, 4, 1, 0, 1, 0, 1, 2, 4, 1, 2, 0, 4, 1, 0, 2, 3, 1, 2, 2, 3, 1, 3, 2, 0, 4, 1, 4, 1, 2, 0, 1, 0, 3, 1, 1, 2, 4, 3, 4, 2, 4, 2, 4, 4, 1, 3, 2, 4, 2, 1, 4, 1, 2, 4, 4, 3, 0, 2, 1, 0, 3, 3, 4, 2, 0, 2, 3, 4, 3, 4, 0, 2, 0, 0, 2, 3, 0, 3, 1, 3, 4, 2, 4, 1, 4, 1, 1, 4, 1, 0, 0, 4, 1, 3, 3, 0, 3, 4, 0, 0, 1, 3, 0, 0, 3, 0, 1, 2, 2, 4, 1, 3, 0, 1, 3, 1, 3, 1, 2, 1, 3, 4, 4, 0, 0, 0, 4, 0, 0, 1, 4, 2, 0, 2, 4, 3, 1, 3, 1, 4, 2, 2, 3, 2, 3, 4, 1, 4, 4, 1, 3, 1, 4, 4, 1, 1, 4, 4, 4, 0, 0, 1, 1, 3, 0, 4, 4, 2, 2, 3, 2, 1, 0, 0, 0, 4, 0, 4, 2, 1, 1, 3, 4, 2, 1, 4, 4, 4, 1, 2, 4, 1, 4, 4, 3, 1, 3, 0, 3, 2, 0, 3, 2, 2, 4, 1, 0, 3, 0, 0, 2, 2, 1, 2, 4, 4, 2, 0, 2, 2, 2, 0, 2, 3, 3, 3, 2, 4, 3, 1, 2, 3, 0, 3, 0, 1, 2, 1, 1, 1, 0, 0, 1, 4, 4, 4, 1, 1, 3, 2, 4, 3, 0, 4, 1, 0, 2, 2, 1, 4, 4, 2, 0, 1, 2, 3, 4, 3, 3, 0, 3, 0, 1, 1, 3, 1, 4, 3, 4, 1, 3, 1, 2, 4, 1, 4, 0, 1, 0, 4, 0, 4, 3, 1, 2, 4, 0, 3, 2, 3, 0, 0, 1, 0, 2, 1, 0, 4, 4, 2, 1, 0, 1, 2, 4, 0, 1, 3, 3] pubkeycol780 = [4, 3, 0, 4, 4, 2, 3, 0, 3, 4, 0, 2, 4, 0, 0, 2, 3, 1, 2, 2, 2, 0, 4, 3, 3, 0, 4, 1, 4, 1, 1, 0, 2, 1, 1, 3, 0, 2, 1, 0, 2, 0, 0, 3, 1, 0, 2, 3, 4, 0, 4, 2, 4, 4, 0, 3, 3, 4, 2, 3, 1, 2, 1, 0, 4, 4, 1, 1, 2, 0, 3, 4, 3, 2, 2, 2, 3, 1, 2, 4, 4, 4, 4, 4, 0, 2, 3, 2, 2, 0, 0, 2, 1, 3, 4, 4, 0, 4, 3, 1, 2, 1, 2, 1, 2, 2, 3, 4, 1, 4, 3, 3, 1, 2, 3, 4, 3, 3, 1, 1, 1, 1, 0, 3, 3, 4, 4, 3, 4, 2, 0, 1, 4, 3, 4, 3, 0, 3, 2, 2, 0, 3, 3, 3, 1, 1, 2, 1, 2, 1, 2, 4, 0, 3, 0, 1, 4, 2, 3, 4, 0, 4, 4, 4, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 0, 4, 3, 3, 0, 1, 0, 4, 2, 0, 0, 0, 1, 4, 2, 0, 1, 4, 0, 2, 4, 3, 0, 0, 2, 4, 4, 1, 0, 4, 4, 1, 1, 3, 3, 4, 3, 0, 4, 1, 0, 0, 3, 0, 0, 2, 4, 2, 3, 3, 1, 2, 4, 1, 2, 2, 4, 4, 3, 3, 4, 4, 4, 2, 0, 3, 3, 3, 1, 3, 4, 0, 4, 3, 3, 0, 0, 0, 2, 3, 3, 3, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 4, 2, 1, 4, 0, 3, 0, 0, 3, 4, 3, 2, 3, 2, 1, 1, 1, 4, 3, 1, 1, 3, 3, 3, 3, 0, 4, 0, 0, 1, 0, 4, 3, 2, 3, 4, 3, 0, 1, 0, 1, 1, 4, 3, 4, 2, 3, 3, 4, 4, 4, 0] pubkeycol781 = [2, 4, 2, 2, 1, 3, 4, 2, 0, 3, 2, 0, 4, 4, 3, 3, 2, 4, 0, 2, 1, 2, 4, 0, 4, 1, 4, 3, 3, 4, 4, 2, 0, 2, 4, 2, 1, 2, 2, 1, 3, 3, 0, 0, 2, 4, 0, 3, 4, 1, 2, 2, 4, 3, 1, 0, 0, 3, 2, 4, 1, 1, 4, 4, 0, 0, 0, 2, 0, 3, 4, 4, 1, 4, 2, 4, 2, 3, 4, 0, 3, 4, 0, 3, 0, 3, 1, 4, 0, 3, 3, 1, 3, 3, 4, 2, 4, 0, 3, 0, 1, 2, 2, 4, 1, 1, 4, 3, 2, 0, 1, 0, 0, 4, 4, 0, 0, 2, 2, 0, 2, 1, 4, 0, 3, 4, 0, 3, 1, 3, 4, 3, 1, 3, 1, 1, 2, 1, 0, 0, 3, 1, 0, 4, 2, 3, 0, 1, 0, 0, 0, 3, 2, 1, 0, 4, 4, 2, 0, 1, 0, 1, 1, 4, 0, 3, 3, 2, 4, 0, 0, 4, 0, 2, 0, 3, 4, 0, 3, 0, 3, 2, 0, 4, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 0, 3, 1, 3, 4, 2, 4, 0, 1, 0, 3, 1, 4, 0, 4, 2, 1, 0, 0, 3, 4, 4, 0, 2, 1, 4, 4, 4, 1, 2, 2, 0, 1, 4, 4, 0, 4, 1, 1, 4, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 1, 2, 4, 0, 2, 3, 2, 4, 3, 1, 4, 1, 3, 3, 4, 2, 4, 2, 2, 2, 3, 3, 0, 4, 0, 4, 2, 4, 4, 1, 4, 1, 1, 0, 0, 2, 2, 0, 3, 3, 3, 1, 3, 4, 0, 1, 2, 0, 4, 1, 1, 3, 4, 4, 2, 4, 0, 4, 2, 1, 0, 0, 3, 2, 0, 0, 3, 0, 3, 1, 3, 3, 0, 0] pubkeycol782 = [1, 1, 4, 2, 1, 1, 0, 2, 4, 1, 2, 2, 1, 3, 3, 1, 2, 1, 3, 1, 0, 3, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 4, 4, 1, 2, 4, 0, 4, 1, 2, 1, 1, 3, 2, 0, 3, 3, 2, 1, 1, 4, 1, 4, 1, 4, 1, 2, 4, 1, 4, 1, 3, 4, 1, 3, 0, 1, 0, 4, 2, 2, 4, 2, 2, 3, 2, 2, 3, 2, 4, 2, 0, 3, 3, 0, 4, 3, 0, 4, 2, 0, 3, 1, 1, 4, 4, 0, 2, 3, 0, 2, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 0, 0, 4, 0, 0, 2, 0, 2, 3, 4, 1, 3, 0, 0, 1, 0, 1, 2, 0, 0, 2, 4, 0, 1, 0, 2, 4, 4, 0, 0, 3, 2, 3, 4, 3, 3, 1, 2, 3, 3, 2, 2, 1, 3, 0, 4, 2, 1, 3, 0, 1, 0, 3, 2, 2, 1, 0, 4, 1, 4, 3, 1, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 3, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 4, 0, 3, 1, 2, 4, 1, 2, 0, 0, 0, 1, 0, 2, 4, 2, 4, 1, 4, 2, 4, 0, 2, 3, 0, 2, 0, 2, 0, 4, 2, 0, 0, 1, 4, 2, 4, 0, 1, 4, 3, 2, 0, 4, 1, 0, 1, 4, 2, 1, 2, 4, 1, 4, 2, 4, 2, 0, 0, 1, 4, 2, 2, 3, 0, 3, 2, 2, 3, 0, 0, 3, 0, 3, 1, 0, 3, 4, 3, 1, 1, 0, 2, 2, 3, 2, 4, 3, 1, 3, 4, 1, 2, 1, 0, 4, 0, 2, 1, 0, 4, 0, 2, 0, 2, 2, 2, 4, 2, 3, 1, 3, 1, 0, 2, 0, 0, 4, 2, 2, 3, 4, 2, 3] pubkeycol783 = [1, 2, 1, 0, 2, 0, 1, 0, 3, 4, 3, 2, 2, 0, 4, 3, 2, 0, 3, 3, 0, 0, 0, 1, 4, 2, 0, 2, 0, 4, 0, 4, 1, 1, 1, 2, 2, 2, 1, 3, 4, 0, 2, 3, 4, 4, 1, 1, 2, 1, 4, 2, 4, 1, 2, 3, 4, 1, 3, 2, 3, 0, 2, 1, 1, 0, 3, 0, 4, 4, 1, 4, 0, 2, 3, 1, 3, 0, 2, 0, 1, 3, 0, 4, 0, 2, 3, 4, 0, 3, 4, 0, 3, 0, 0, 0, 1, 2, 1, 4, 4, 2, 0, 2, 0, 1, 3, 1, 2, 3, 2, 3, 1, 4, 4, 1, 0, 3, 3, 1, 4, 4, 4, 0, 2, 1, 3, 1, 4, 1, 4, 4, 2, 1, 1, 4, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 3, 0, 1, 2, 2, 2, 3, 4, 0, 1, 2, 0, 0, 0, 4, 3, 3, 2, 0, 0, 3, 2, 4, 3, 0, 4, 0, 0, 4, 2, 1, 2, 1, 2, 0, 4, 3, 0, 1, 2, 0, 4, 2, 1, 2, 4, 1, 3, 1, 3, 0, 4, 2, 2, 3, 4, 4, 4, 2, 1, 4, 2, 3, 3, 1, 0, 1, 4, 1, 2, 4, 1, 3, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 3, 4, 0, 0, 0, 3, 4, 3, 1, 4, 0, 1, 4, 1, 0, 1, 0, 2, 3, 3, 1, 3, 4, 1, 4, 2, 1, 2, 0, 1, 0, 3, 3, 0, 2, 2, 3, 2, 2, 2, 4, 2, 3, 3, 3, 4, 2, 0, 0, 4, 4, 2, 2, 4, 0, 2, 0, 2, 4, 2, 4, 3, 4, 0, 0, 2, 3, 1, 4, 0, 3, 3, 2, 3, 0, 3, 2, 3, 0, 0, 4, 2, 1, 4, 1, 2, 1, 1, 3] pubkeycol784 = [4, 4, 2, 3, 4, 2, 0, 2, 2, 2, 1, 1, 0, 4, 2, 1, 3, 2, 1, 1, 0, 2, 3, 0, 1, 4, 1, 4, 3, 1, 0, 0, 1, 2, 4, 3, 0, 3, 1, 0, 2, 4, 0, 1, 2, 1, 4, 4, 2, 4, 3, 1, 1, 2, 2, 3, 0, 4, 2, 3, 0, 3, 0, 3, 3, 1, 2, 1, 4, 1, 4, 1, 4, 3, 0, 4, 4, 2, 1, 2, 0, 1, 4, 4, 0, 0, 2, 3, 3, 4, 4, 2, 1, 0, 2, 2, 0, 2, 3, 2, 0, 3, 2, 2, 3, 2, 3, 4, 2, 0, 1, 1, 2, 4, 2, 3, 0, 0, 3, 4, 1, 3, 2, 2, 2, 0, 0, 3, 2, 3, 3, 2, 4, 1, 4, 3, 0, 2, 0, 4, 3, 0, 2, 3, 3, 0, 4, 2, 3, 0, 4, 1, 0, 0, 2, 0, 2, 1, 2, 4, 4, 4, 1, 3, 4, 2, 3, 3, 1, 0, 0, 0, 2, 1, 1, 3, 1, 4, 3, 3, 4, 1, 0, 4, 4, 1, 0, 0, 1, 3, 0, 3, 1, 3, 3, 0, 1, 0, 0, 4, 3, 3, 3, 2, 2, 3, 3, 1, 0, 1, 0, 3, 0, 4, 3, 2, 3, 4, 1, 3, 4, 3, 0, 0, 3, 0, 3, 1, 1, 2, 0, 1, 2, 1, 1, 1, 4, 0, 0, 3, 0, 4, 3, 3, 3, 2, 1, 0, 4, 4, 3, 2, 3, 2, 3, 2, 4, 4, 2, 3, 2, 3, 0, 3, 1, 0, 3, 4, 3, 4, 2, 1, 1, 1, 4, 0, 3, 0, 2, 0, 3, 2, 4, 3, 1, 3, 2, 2, 3, 3, 0, 1, 3, 3, 3, 3, 1, 0, 0, 2, 0, 3, 3, 3, 1, 4, 4, 0, 2, 1, 3, 4, 0, 4, 2, 2, 2, 3, 0, 0] pubkeycol785 = [1, 4, 0, 3, 4, 1, 2, 2, 0, 2, 1, 4, 4, 4, 0, 3, 3, 2, 4, 2, 3, 1, 4, 0, 0, 4, 3, 1, 2, 2, 0, 2, 1, 3, 4, 2, 3, 2, 2, 3, 3, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 3, 4, 0, 3, 2, 1, 4, 2, 0, 3, 0, 3, 4, 1, 1, 1, 4, 0, 3, 4, 0, 3, 2, 0, 2, 2, 0, 3, 4, 4, 2, 4, 3, 0, 0, 0, 2, 1, 0, 4, 2, 3, 4, 0, 0, 0, 1, 0, 4, 2, 1, 0, 0, 2, 2, 2, 4, 3, 2, 2, 3, 1, 0, 1, 2, 1, 1, 3, 0, 2, 4, 0, 3, 1, 1, 4, 3, 1, 4, 2, 2, 0, 2, 1, 3, 4, 3, 0, 3, 2, 0, 0, 1, 1, 1, 2, 0, 1, 3, 4, 2, 2, 3, 3, 0, 2, 1, 1, 3, 0, 1, 4, 0, 0, 4, 4, 3, 2, 3, 3, 1, 4, 0, 2, 4, 3, 0, 1, 0, 3, 3, 2, 2, 1, 1, 0, 3, 1, 3, 1, 1, 0, 1, 0, 1, 1, 4, 4, 3, 0, 4, 2, 2, 1, 1, 2, 2, 3, 3, 1, 4, 0, 3, 2, 0, 1, 1, 2, 0, 2, 4, 0, 2, 2, 3, 4, 3, 4, 2, 2, 4, 3, 1, 3, 0, 2, 4, 3, 2, 0, 1, 2, 2, 4, 3, 0, 1, 4, 2, 2, 0, 2, 3, 2, 3, 3, 1, 4, 4, 4, 0, 1, 3, 2, 1, 4, 1, 1, 1, 1, 0, 1, 0, 4, 3, 4, 4, 2, 3, 4, 0, 2, 4, 1, 1, 4, 0, 4, 1, 2, 0, 0, 3, 4, 2, 4, 0, 3, 1, 2, 2, 4, 0, 3, 4, 0, 4, 4, 1, 2, 3, 2, 0] pubkeycol786 = [2, 3, 2, 3, 0, 0, 1, 0, 3, 4, 4, 4, 2, 3, 1, 4, 4, 1, 4, 4, 0, 2, 1, 1, 0, 2, 4, 1, 3, 1, 1, 3, 3, 4, 4, 2, 4, 1, 2, 4, 4, 2, 2, 3, 4, 0, 3, 4, 2, 2, 2, 0, 4, 0, 0, 1, 3, 3, 0, 1, 1, 4, 1, 0, 4, 1, 1, 3, 3, 0, 4, 2, 0, 3, 1, 4, 3, 0, 2, 0, 4, 2, 3, 2, 2, 1, 2, 0, 3, 0, 0, 3, 1, 2, 2, 0, 0, 2, 4, 2, 0, 3, 3, 1, 0, 2, 3, 1, 0, 1, 4, 4, 2, 4, 0, 0, 0, 0, 1, 3, 3, 2, 3, 1, 0, 4, 4, 4, 3, 0, 4, 1, 0, 4, 2, 0, 1, 2, 2, 0, 0, 1, 4, 1, 2, 0, 3, 2, 1, 3, 0, 3, 1, 2, 4, 3, 2, 3, 3, 1, 2, 1, 1, 1, 3, 2, 0, 4, 1, 2, 1, 3, 3, 4, 3, 3, 2, 4, 2, 1, 1, 3, 1, 3, 0, 1, 1, 3, 0, 4, 3, 1, 0, 4, 2, 1, 4, 0, 0, 1, 2, 1, 0, 4, 1, 3, 3, 1, 2, 3, 1, 1, 3, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 3, 1, 1, 2, 3, 4, 4, 4, 0, 3, 2, 1, 2, 4, 3, 4, 4, 2, 2, 3, 1, 0, 0, 2, 2, 1, 0, 3, 0, 2, 3, 4, 3, 3, 1, 3, 1, 3, 0, 2, 2, 0, 2, 4, 2, 2, 2, 1, 1, 1, 3, 4, 2, 4, 0, 1, 4, 4, 0, 0, 0, 3, 0, 0, 3, 1, 0, 0, 1, 4, 0, 1, 4, 3, 3, 0, 0, 1, 1, 1, 1, 2, 0, 3, 3, 2, 0, 3, 3, 2, 0, 1, 2, 0, 4, 2, 1] pubkeycol787 = [3, 1, 4, 2, 3, 4, 2, 3, 2, 1, 2, 4, 0, 3, 0, 4, 3, 4, 1, 2, 1, 0, 3, 1, 0, 3, 2, 4, 0, 4, 3, 0, 3, 2, 1, 4, 0, 3, 4, 0, 4, 0, 1, 4, 0, 3, 1, 1, 2, 4, 3, 0, 2, 0, 0, 0, 2, 2, 3, 3, 4, 0, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 4, 3, 0, 0, 4, 4, 3, 3, 2, 4, 3, 1, 1, 4, 0, 1, 1, 1, 3, 4, 0, 3, 2, 1, 2, 2, 2, 1, 1, 2, 2, 3, 4, 3, 4, 2, 2, 3, 2, 0, 0, 3, 2, 0, 1, 3, 0, 1, 4, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 4, 4, 4, 1, 0, 4, 0, 1, 2, 0, 1, 3, 0, 0, 2, 1, 2, 3, 2, 4, 1, 2, 0, 3, 1, 4, 4, 4, 0, 4, 4, 2, 1, 3, 1, 3, 2, 0, 2, 3, 3, 1, 1, 4, 0, 0, 1, 2, 0, 0, 2, 0, 4, 0, 1, 1, 2, 0, 1, 3, 1, 0, 0, 2, 1, 4, 0, 0, 3, 4, 0, 2, 3, 2, 0, 2, 3, 1, 4, 4, 2, 1, 1, 4, 0, 3, 1, 3, 0, 0, 2, 3, 1, 1, 1, 0, 1, 3, 2, 1, 3, 1, 2, 4, 4, 4, 4, 4, 3, 0, 2, 4, 3, 4, 3, 2, 4, 2, 4, 3, 1, 1, 0, 1, 0, 3, 0, 3, 4, 4, 0, 4, 2, 2, 4, 3, 3, 2, 2, 0, 3, 4, 3, 2, 3, 2, 1, 4, 3, 3, 3, 2, 3, 3, 4, 3, 0, 1, 0, 1, 4, 4, 0, 2, 3, 3, 4, 0, 1, 4, 3, 4, 4, 0, 2, 0, 0, 0, 3, 2, 3, 1, 2, 3, 1, 4, 3, 4, 1] pubkeycol788 = [2, 4, 2, 3, 4, 4, 4, 3, 4, 3, 4, 2, 3, 1, 1, 1, 3, 2, 0, 1, 1, 1, 2, 2, 2, 4, 4, 4, 1, 2, 2, 3, 0, 4, 1, 2, 2, 3, 1, 3, 0, 3, 4, 2, 3, 2, 0, 3, 2, 3, 2, 0, 1, 3, 1, 4, 3, 2, 3, 1, 2, 0, 0, 2, 2, 3, 3, 0, 1, 3, 3, 1, 0, 2, 0, 1, 3, 3, 2, 3, 4, 0, 4, 2, 3, 4, 0, 4, 1, 4, 3, 4, 3, 2, 3, 3, 4, 0, 4, 0, 4, 2, 0, 4, 1, 4, 4, 4, 3, 1, 2, 0, 1, 2, 4, 2, 3, 2, 0, 2, 1, 1, 3, 2, 3, 0, 4, 2, 4, 2, 3, 1, 3, 4, 4, 4, 2, 0, 0, 2, 0, 4, 0, 4, 1, 3, 1, 2, 3, 4, 2, 4, 0, 2, 4, 3, 3, 0, 2, 1, 0, 4, 4, 4, 2, 2, 4, 1, 4, 4, 2, 4, 4, 4, 3, 4, 1, 1, 2, 3, 1, 0, 4, 3, 2, 0, 0, 4, 1, 3, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 4, 0, 2, 2, 3, 0, 4, 1, 1, 3, 2, 3, 0, 1, 2, 0, 4, 3, 0, 1, 4, 2, 2, 3, 0, 3, 2, 2, 1, 0, 2, 4, 2, 4, 2, 3, 0, 3, 0, 0, 3, 4, 4, 4, 2, 1, 1, 1, 4, 0, 0, 2, 4, 2, 4, 4, 3, 3, 2, 4, 4, 2, 2, 4, 3, 4, 3, 4, 0, 3, 1, 3, 4, 3, 1, 0, 0, 2, 3, 4, 1, 3, 3, 4, 1, 0, 1, 2, 2, 2, 4, 0, 0, 2, 0, 1, 3, 4, 0, 3, 4, 3, 4, 2, 1, 3, 3, 4, 1, 2, 0, 0, 0, 2, 4, 3, 3, 2] pubkeycol789 = [0, 4, 3, 1, 2, 4, 1, 4, 3, 4, 2, 3, 0, 4, 1, 3, 3, 1, 0, 2, 2, 3, 3, 4, 0, 4, 1, 3, 2, 0, 1, 4, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 3, 4, 2, 3, 4, 2, 2, 2, 0, 3, 3, 3, 2, 3, 1, 3, 0, 4, 4, 0, 0, 3, 3, 4, 3, 3, 2, 3, 0, 2, 2, 2, 0, 4, 3, 0, 1, 2, 4, 4, 4, 1, 2, 0, 2, 2, 0, 4, 1, 2, 1, 4, 1, 2, 2, 0, 4, 1, 0, 4, 1, 1, 4, 3, 1, 3, 2, 3, 2, 2, 0, 1, 2, 1, 3, 4, 1, 2, 2, 0, 3, 2, 1, 3, 3, 0, 4, 1, 3, 3, 4, 3, 3, 4, 1, 2, 0, 0, 2, 3, 4, 4, 0, 3, 0, 0, 2, 0, 3, 2, 0, 4, 4, 4, 0, 2, 3, 3, 2, 0, 3, 1, 2, 4, 3, 1, 4, 2, 2, 1, 4, 2, 2, 2, 2, 0, 2, 3, 3, 3, 2, 1, 1, 2, 0, 4, 0, 2, 3, 3, 2, 3, 4, 0, 0, 2, 4, 3, 3, 4, 4, 1, 2, 2, 2, 3, 1, 1, 4, 1, 0, 1, 0, 1, 1, 2, 4, 0, 1, 1, 3, 4, 2, 0, 3, 1, 1, 3, 1, 1, 0, 1, 2, 3, 0, 4, 0, 4, 2, 2, 0, 2, 2, 2, 2, 2, 4, 1, 0, 0, 4, 0, 3, 1, 3, 3, 0, 3, 1, 2, 2, 0, 4, 1, 3, 1, 4, 0, 2, 1, 0, 2, 2, 3, 3, 1, 2, 0, 3, 1, 3, 0, 2, 3, 2, 4, 4, 0, 2, 4, 2, 2, 4, 3, 3, 3, 4, 1, 3, 0, 3, 0, 4, 4, 0, 4, 1, 2, 3, 2, 2, 2, 4, 1, 2, 2] pubkeycol790 = [4, 0, 2, 0, 3, 4, 0, 1, 2, 4, 3, 1, 4, 4, 0, 4, 1, 1, 0, 1, 0, 0, 1, 2, 1, 4, 4, 1, 4, 3, 2, 2, 4, 2, 2, 2, 0, 2, 3, 1, 0, 4, 1, 1, 1, 2, 0, 2, 3, 3, 2, 2, 4, 2, 1, 0, 0, 3, 1, 3, 2, 3, 0, 4, 4, 1, 1, 0, 2, 3, 1, 1, 4, 2, 2, 3, 3, 2, 1, 4, 4, 1, 3, 3, 2, 3, 3, 2, 4, 3, 1, 4, 3, 2, 0, 0, 4, 3, 4, 3, 2, 0, 3, 0, 1, 4, 4, 3, 0, 2, 0, 3, 1, 1, 1, 3, 3, 0, 0, 1, 4, 2, 4, 0, 0, 4, 3, 4, 2, 0, 0, 2, 2, 2, 4, 0, 4, 2, 2, 4, 2, 1, 2, 0, 3, 2, 0, 3, 0, 1, 4, 3, 1, 3, 0, 2, 2, 4, 3, 2, 3, 1, 3, 0, 3, 1, 0, 1, 2, 1, 3, 1, 0, 2, 1, 3, 4, 4, 4, 3, 4, 0, 2, 2, 0, 2, 2, 4, 3, 3, 0, 0, 3, 3, 0, 1, 2, 4, 0, 4, 4, 3, 0, 0, 3, 2, 2, 2, 2, 0, 2, 2, 3, 0, 4, 4, 4, 2, 3, 0, 3, 2, 3, 0, 1, 4, 4, 1, 3, 3, 3, 1, 4, 0, 1, 1, 1, 4, 3, 4, 0, 2, 3, 1, 4, 2, 3, 3, 0, 3, 0, 2, 2, 0, 2, 3, 0, 1, 4, 3, 2, 3, 3, 4, 1, 0, 1, 2, 2, 4, 1, 3, 3, 3, 0, 2, 0, 2, 2, 3, 0, 2, 1, 2, 4, 2, 3, 4, 1, 1, 4, 2, 2, 1, 4, 1, 1, 2, 3, 3, 0, 4, 4, 2, 3, 2, 3, 2, 3, 4, 0, 2, 1, 4, 4, 2, 4, 3, 4, 4] pubkeycol791 = [2, 4, 1, 3, 2, 0, 3, 3, 4, 2, 1, 3, 2, 3, 1, 1, 3, 4, 0, 1, 2, 4, 2, 2, 4, 2, 0, 3, 2, 2, 4, 1, 0, 0, 1, 3, 3, 4, 0, 2, 3, 0, 4, 4, 1, 0, 0, 0, 4, 4, 1, 2, 1, 0, 3, 4, 3, 1, 3, 3, 2, 3, 2, 3, 3, 1, 0, 0, 4, 3, 0, 2, 0, 4, 2, 2, 2, 2, 4, 2, 1, 1, 2, 4, 2, 1, 0, 2, 0, 3, 0, 3, 0, 0, 0, 2, 2, 0, 4, 2, 1, 2, 3, 0, 1, 0, 4, 1, 0, 3, 1, 2, 4, 2, 2, 1, 4, 0, 3, 3, 3, 0, 1, 1, 2, 1, 1, 4, 3, 2, 4, 4, 0, 4, 2, 2, 1, 3, 0, 2, 0, 0, 2, 4, 1, 0, 4, 4, 2, 3, 1, 2, 4, 4, 4, 0, 4, 1, 0, 3, 0, 4, 2, 2, 3, 0, 0, 3, 4, 1, 2, 0, 0, 4, 3, 0, 3, 0, 4, 1, 0, 2, 3, 1, 4, 3, 0, 2, 1, 3, 4, 0, 0, 1, 1, 4, 2, 3, 0, 1, 0, 0, 4, 0, 0, 3, 4, 2, 3, 1, 3, 1, 3, 2, 1, 3, 2, 2, 0, 4, 3, 4, 4, 2, 3, 2, 0, 1, 4, 4, 1, 1, 3, 4, 1, 3, 3, 4, 3, 0, 2, 2, 0, 1, 3, 0, 0, 1, 3, 4, 1, 2, 3, 2, 4, 3, 3, 0, 3, 3, 2, 2, 0, 3, 0, 0, 2, 3, 3, 3, 2, 2, 1, 1, 4, 3, 4, 0, 1, 2, 1, 0, 0, 0, 2, 4, 3, 1, 0, 2, 1, 0, 1, 2, 4, 0, 0, 3, 4, 4, 0, 2, 2, 4, 2, 3, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 4, 2, 3] pubkeycol792 = [4, 2, 1, 3, 3, 1, 4, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 0, 2, 2, 4, 2, 3, 4, 4, 1, 4, 2, 3, 3, 0, 3, 3, 0, 4, 3, 2, 0, 3, 1, 0, 1, 4, 0, 2, 3, 4, 4, 2, 1, 4, 3, 2, 2, 3, 1, 2, 0, 2, 4, 0, 3, 1, 4, 3, 3, 1, 2, 1, 2, 3, 4, 4, 3, 4, 4, 2, 1, 3, 1, 4, 2, 1, 3, 2, 2, 2, 3, 2, 0, 2, 2, 1, 1, 3, 4, 3, 1, 3, 1, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 1, 0, 0, 2, 4, 3, 1, 2, 4, 4, 2, 1, 3, 1, 3, 2, 3, 4, 2, 0, 0, 4, 4, 0, 4, 1, 4, 2, 2, 0, 1, 4, 0, 0, 4, 4, 1, 2, 1, 3, 2, 3, 0, 2, 2, 4, 1, 0, 0, 4, 0, 4, 4, 3, 0, 3, 2, 0, 0, 0, 3, 3, 4, 3, 1, 2, 4, 1, 1, 0, 0, 2, 4, 3, 1, 0, 0, 2, 3, 0, 1, 1, 0, 2, 3, 2, 2, 2, 2, 0, 0, 3, 2, 4, 4, 4, 2, 3, 0, 0, 3, 1, 2, 3, 4, 0, 0, 2, 3, 1, 4, 1, 2, 2, 0, 3, 4, 3, 3, 2, 4, 1, 0, 1, 2, 4, 1, 3, 4, 4, 2, 2, 2, 0, 1, 1, 1, 0, 3, 3, 3, 0, 0, 2, 4, 2, 2, 2, 4, 1, 2, 4, 3, 1, 3, 4, 2, 0, 1, 3, 0, 1, 1, 1, 2, 4, 4, 0, 3, 2, 2, 3, 3, 3, 2, 4, 3, 1, 1, 0, 2, 1, 2, 4, 1, 2, 1, 3, 0, 3, 0, 1, 0, 1, 1, 2, 3, 0, 1, 2, 3, 3, 2, 1, 1, 2, 4, 0, 0] pubkeycol793 = [4, 2, 4, 4, 4, 1, 2, 0, 2, 0, 1, 2, 3, 4, 2, 2, 3, 2, 1, 0, 4, 3, 0, 1, 2, 1, 3, 2, 3, 1, 2, 4, 3, 2, 4, 3, 2, 4, 1, 1, 3, 4, 0, 0, 0, 0, 0, 4, 1, 0, 0, 4, 3, 4, 4, 4, 3, 1, 2, 2, 1, 3, 4, 2, 1, 0, 3, 0, 3, 2, 0, 0, 0, 3, 1, 4, 4, 0, 2, 3, 1, 1, 1, 0, 1, 0, 4, 2, 1, 3, 3, 4, 1, 1, 4, 1, 1, 0, 4, 0, 0, 4, 3, 3, 1, 4, 4, 3, 2, 0, 2, 2, 3, 3, 2, 4, 3, 4, 3, 3, 3, 3, 0, 0, 1, 3, 4, 0, 2, 4, 3, 3, 3, 4, 3, 3, 1, 2, 4, 4, 0, 0, 4, 1, 1, 4, 2, 1, 3, 0, 0, 3, 2, 2, 1, 4, 0, 3, 0, 1, 0, 0, 4, 0, 3, 0, 0, 0, 1, 1, 4, 1, 3, 3, 0, 2, 1, 2, 4, 2, 1, 2, 2, 2, 4, 1, 0, 1, 3, 4, 0, 3, 2, 1, 2, 0, 2, 1, 2, 4, 3, 0, 4, 2, 1, 2, 0, 4, 4, 1, 4, 1, 1, 0, 0, 1, 1, 2, 1, 0, 3, 3, 0, 3, 1, 3, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 4, 3, 1, 4, 2, 1, 4, 2, 4, 1, 1, 2, 4, 2, 1, 3, 2, 1, 3, 2, 4, 4, 0, 3, 0, 2, 3, 4, 2, 1, 3, 0, 3, 0, 4, 0, 0, 2, 1, 0, 0, 1, 0, 0, 3, 3, 2, 1, 0, 1, 3, 4, 4, 2, 4, 1, 0, 4, 0, 0, 1, 0, 0, 1, 1, 3, 2, 0, 0, 1, 4, 1, 3, 4, 4, 4, 1, 3, 0, 2, 4, 0, 1] pubkeycol794 = [4, 4, 3, 1, 3, 1, 3, 0, 2, 4, 2, 1, 3, 4, 0, 3, 2, 3, 2, 0, 0, 4, 1, 0, 1, 3, 0, 4, 1, 2, 4, 0, 0, 1, 4, 2, 4, 0, 1, 2, 2, 1, 0, 2, 1, 2, 4, 2, 3, 4, 4, 2, 0, 2, 2, 4, 0, 1, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 0, 4, 2, 3, 1, 0, 3, 0, 4, 2, 4, 0, 3, 3, 3, 2, 0, 3, 2, 4, 3, 0, 2, 3, 3, 1, 3, 3, 2, 0, 4, 0, 0, 4, 0, 1, 1, 3, 4, 2, 2, 4, 3, 0, 0, 1, 2, 2, 2, 3, 3, 4, 3, 3, 1, 3, 3, 2, 3, 2, 3, 2, 1, 3, 1, 2, 3, 0, 0, 3, 1, 3, 3, 4, 4, 3, 4, 1, 0, 4, 0, 2, 1, 4, 2, 2, 4, 1, 1, 1, 1, 4, 1, 0, 4, 3, 1, 1, 3, 3, 0, 0, 4, 0, 1, 0, 0, 1, 2, 2, 3, 1, 3, 4, 1, 1, 0, 1, 2, 4, 4, 0, 2, 3, 1, 1, 0, 0, 0, 4, 1, 4, 0, 2, 1, 4, 4, 1, 2, 0, 4, 0, 0, 1, 2, 4, 0, 4, 2, 1, 2, 0, 4, 1, 2, 4, 3, 2, 2, 0, 2, 1, 2, 0, 2, 0, 4, 1, 2, 1, 1, 1, 3, 1, 1, 0, 0, 2, 2, 3, 1, 1, 0, 2, 0, 4, 1, 0, 3, 0, 0, 4, 2, 3, 0, 2, 1, 2, 3, 1, 2, 3, 1, 2, 4, 1, 3, 0, 3, 0, 1, 2, 4, 1, 0, 4, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 4, 1, 2, 4, 4, 2, 0, 0, 3, 1, 1, 3, 2, 2, 4, 3, 0, 1, 0, 0, 2, 3, 0, 3, 0] pubkeycol795 = [0, 0, 1, 3, 4, 0, 1, 2, 2, 2, 4, 3, 2, 0, 1, 0, 4, 4, 3, 2, 2, 3, 2, 2, 4, 4, 4, 0, 1, 1, 0, 4, 3, 0, 2, 0, 3, 4, 0, 0, 0, 4, 0, 0, 0, 2, 4, 1, 4, 2, 1, 4, 4, 3, 2, 4, 4, 0, 3, 0, 4, 4, 0, 3, 0, 1, 0, 1, 0, 0, 4, 2, 3, 2, 3, 2, 1, 2, 4, 4, 4, 0, 2, 1, 4, 2, 3, 4, 4, 4, 4, 0, 3, 3, 3, 4, 0, 1, 4, 3, 2, 3, 2, 0, 4, 2, 1, 2, 0, 1, 1, 4, 3, 3, 1, 4, 0, 2, 3, 0, 3, 0, 0, 4, 1, 1, 1, 4, 4, 4, 3, 1, 2, 3, 1, 0, 4, 2, 4, 4, 1, 3, 2, 3, 3, 1, 2, 0, 4, 4, 4, 2, 2, 1, 0, 3, 0, 0, 2, 3, 0, 0, 4, 1, 3, 2, 0, 4, 0, 2, 0, 3, 4, 3, 3, 2, 3, 4, 1, 4, 4, 0, 4, 3, 4, 3, 4, 3, 1, 4, 4, 2, 4, 4, 2, 1, 2, 1, 0, 1, 1, 4, 4, 1, 0, 4, 0, 4, 2, 0, 2, 3, 0, 1, 0, 4, 3, 4, 0, 4, 0, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 3, 0, 0, 3, 2, 3, 0, 3, 2, 2, 2, 2, 2, 3, 0, 3, 1, 1, 2, 3, 3, 1, 2, 1, 4, 1, 0, 2, 3, 0, 3, 0, 2, 3, 4, 1, 0, 4, 4, 0, 3, 3, 1, 3, 1, 1, 3, 2, 0, 1, 2, 3, 3, 2, 1, 3, 1, 4, 1, 3, 3, 4, 0, 2, 1, 0, 1, 4, 3, 0, 4, 0, 1, 3, 3, 1, 3, 4, 3, 4, 2, 3, 1, 4, 2, 3, 1, 1, 3] pubkeycol796 = [1, 3, 1, 1, 2, 0, 3, 2, 2, 0, 3, 3, 4, 0, 4, 1, 3, 4, 2, 1, 3, 2, 4, 2, 3, 3, 4, 4, 4, 0, 1, 3, 3, 0, 0, 4, 4, 0, 4, 2, 2, 4, 0, 3, 3, 1, 4, 0, 4, 1, 1, 1, 0, 0, 3, 4, 3, 0, 2, 0, 0, 0, 2, 4, 4, 0, 0, 2, 3, 4, 0, 3, 0, 1, 0, 0, 1, 3, 2, 0, 0, 1, 1, 3, 2, 1, 0, 1, 2, 3, 0, 2, 1, 2, 1, 4, 0, 0, 1, 0, 2, 0, 0, 2, 4, 2, 1, 2, 0, 2, 0, 3, 4, 2, 3, 4, 3, 4, 4, 3, 4, 3, 4, 3, 1, 3, 4, 0, 0, 1, 0, 3, 1, 4, 3, 1, 0, 2, 2, 2, 3, 2, 2, 1, 3, 2, 0, 2, 1, 4, 1, 4, 3, 1, 0, 0, 0, 3, 2, 2, 1, 4, 3, 4, 4, 2, 3, 0, 4, 2, 3, 0, 2, 3, 1, 2, 0, 2, 1, 3, 2, 3, 0, 1, 1, 3, 3, 2, 4, 4, 4, 0, 2, 0, 0, 3, 2, 0, 1, 4, 4, 3, 4, 2, 0, 3, 4, 3, 4, 0, 2, 3, 2, 4, 3, 1, 1, 4, 1, 3, 4, 4, 0, 2, 4, 0, 1, 3, 3, 4, 0, 0, 3, 0, 2, 2, 3, 0, 2, 0, 3, 2, 1, 0, 1, 4, 4, 4, 2, 2, 0, 2, 4, 1, 0, 4, 0, 3, 0, 2, 4, 1, 4, 2, 0, 2, 1, 2, 4, 2, 1, 4, 0, 3, 1, 2, 2, 2, 1, 3, 1, 3, 0, 1, 1, 4, 3, 1, 3, 2, 2, 4, 3, 0, 1, 3, 0, 1, 0, 3, 1, 2, 3, 0, 2, 1, 3, 0, 4, 2, 2, 4, 2, 2, 2, 4, 1, 0, 4, 0] pubkeycol797 = [2, 4, 0, 1, 2, 2, 2, 2, 4, 4, 3, 4, 2, 4, 0, 4, 0, 1, 4, 2, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 4, 0, 3, 2, 3, 1, 4, 1, 2, 3, 4, 1, 0, 2, 3, 2, 0, 1, 0, 1, 1, 2, 2, 0, 4, 4, 3, 2, 2, 0, 0, 2, 1, 1, 4, 4, 4, 0, 1, 4, 3, 3, 4, 3, 3, 0, 2, 0, 2, 4, 3, 4, 2, 3, 1, 2, 3, 1, 4, 3, 3, 0, 2, 2, 1, 4, 3, 3, 0, 3, 2, 3, 2, 2, 3, 3, 1, 4, 1, 1, 0, 1, 3, 1, 3, 1, 4, 0, 3, 4, 2, 4, 1, 4, 1, 0, 2, 0, 0, 4, 2, 4, 3, 0, 1, 4, 4, 4, 2, 1, 0, 0, 2, 2, 2, 4, 0, 0, 4, 1, 0, 1, 1, 4, 1, 4, 3, 4, 2, 2, 3, 2, 0, 2, 2, 2, 3, 1, 3, 0, 3, 0, 0, 1, 2, 2, 4, 4, 0, 4, 0, 3, 4, 0, 0, 0, 4, 1, 1, 1, 1, 3, 3, 0, 4, 3, 4, 1, 1, 2, 0, 2, 2, 1, 1, 4, 4, 0, 3, 1, 1, 4, 2, 4, 0, 1, 2, 3, 4, 0, 2, 0, 3, 3, 1, 4, 1, 2, 2, 1, 3, 1, 0, 3, 0, 4, 4, 3, 2, 2, 1, 4, 0, 1, 4, 4, 2, 4, 1, 3, 4, 3, 1, 2, 3, 2, 0, 1, 3, 2, 4, 4, 0, 0, 0, 3, 4, 2, 4, 2, 2, 4, 2, 3, 1, 3, 3, 0, 3, 3, 3, 1, 2, 1, 1, 0, 4, 1, 0, 0, 3, 0, 0, 2, 2, 4, 3, 2, 2, 2, 1, 0, 0, 1, 3, 3, 3, 0, 2, 0, 0, 2, 3, 1, 0, 2, 0, 2, 4, 4] pubkeycol798 = [0, 1, 1, 3, 2, 3, 2, 2, 4, 1, 4, 4, 2, 2, 2, 3, 4, 4, 0, 1, 0, 4, 1, 0, 4, 0, 2, 2, 2, 3, 4, 3, 3, 3, 0, 2, 0, 2, 2, 1, 4, 3, 3, 2, 3, 3, 3, 4, 1, 4, 0, 3, 1, 1, 0, 3, 0, 0, 0, 1, 3, 2, 0, 0, 0, 4, 2, 3, 1, 3, 3, 0, 0, 1, 2, 1, 4, 2, 1, 0, 3, 0, 2, 1, 3, 0, 2, 2, 1, 4, 3, 2, 1, 0, 2, 2, 0, 4, 3, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 4, 1, 4, 4, 4, 1, 3, 0, 2, 2, 1, 0, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 0, 3, 4, 0, 0, 2, 3, 3, 4, 4, 1, 1, 3, 0, 1, 3, 1, 3, 3, 4, 2, 0, 4, 0, 1, 1, 4, 1, 0, 4, 2, 1, 0, 4, 1, 4, 1, 1, 1, 0, 1, 4, 3, 1, 2, 1, 2, 3, 1, 2, 0, 3, 4, 0, 0, 0, 2, 1, 4, 4, 0, 3, 2, 2, 1, 3, 1, 4, 1, 4, 3, 2, 1, 1, 0, 1, 4, 0, 4, 4, 1, 3, 0, 0, 4, 1, 3, 0, 2, 2, 4, 4, 4, 4, 3, 0, 0, 2, 1, 0, 0, 2, 3, 3, 1, 4, 1, 0, 4, 3, 3, 3, 3, 0, 4, 3, 1, 3, 1, 4, 2, 0, 0, 2, 4, 3, 2, 3, 2, 0, 1, 0, 2, 4, 2, 4, 3, 1, 0, 4, 3, 4, 0, 3, 2, 3, 0, 1, 1, 1, 1, 3, 4, 4, 2, 1, 3, 3, 3, 3, 4, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 0, 1, 2, 3, 0, 3, 3, 2, 0, 4, 2] pubkeycol799 = [2, 1, 2, 1, 3, 0, 4, 0, 2, 4, 1, 0, 1, 3, 3, 2, 0, 2, 1, 2, 4, 3, 0, 0, 0, 2, 2, 4, 4, 0, 0, 3, 0, 2, 3, 0, 1, 4, 4, 2, 0, 1, 4, 2, 1, 2, 0, 3, 0, 4, 1, 2, 1, 2, 2, 4, 1, 0, 3, 0, 1, 0, 1, 0, 3, 2, 4, 1, 1, 1, 0, 0, 0, 2, 2, 4, 2, 4, 4, 3, 4, 0, 0, 2, 4, 4, 1, 0, 0, 1, 3, 0, 4, 2, 4, 0, 1, 1, 0, 2, 1, 1, 3, 4, 1, 3, 2, 1, 1, 1, 2, 0, 1, 3, 3, 0, 2, 0, 4, 0, 4, 1, 2, 2, 2, 1, 0, 0, 4, 3, 4, 4, 4, 2, 2, 2, 3, 0, 4, 3, 0, 4, 0, 3, 3, 0, 4, 4, 2, 1, 1, 4, 1, 0, 3, 0, 1, 2, 2, 3, 4, 0, 4, 2, 1, 0, 2, 3, 0, 4, 4, 1, 0, 3, 2, 0, 3, 4, 3, 3, 3, 0, 3, 1, 4, 4, 0, 0, 2, 3, 2, 3, 4, 3, 3, 3, 2, 2, 2, 1, 4, 4, 0, 4, 3, 2, 2, 0, 0, 3, 3, 3, 1, 0, 2, 1, 3, 1, 4, 4, 4, 4, 0, 3, 0, 4, 1, 1, 4, 1, 2, 1, 1, 4, 3, 2, 2, 3, 3, 0, 2, 2, 1, 3, 4, 2, 2, 2, 1, 1, 3, 2, 1, 4, 3, 0, 1, 2, 1, 2, 1, 4, 0, 3, 3, 4, 0, 2, 2, 3, 2, 2, 0, 2, 1, 3, 2, 4, 3, 2, 0, 3, 2, 4, 4, 3, 3, 1, 1, 4, 1, 3, 4, 1, 4, 0, 0, 3, 3, 1, 3, 2, 3, 4, 1, 2, 3, 3, 4, 3, 2, 4, 0, 4, 2, 3, 1, 1, 4, 3] pubkeycol800 = [2, 3, 4, 2, 3, 0, 0, 0, 3, 2, 1, 3, 0, 3, 0, 2, 4, 2, 1, 4, 1, 2, 3, 2, 1, 1, 4, 1, 2, 4, 1, 3, 3, 1, 2, 2, 4, 4, 3, 2, 1, 2, 2, 3, 2, 1, 3, 0, 3, 0, 1, 2, 1, 4, 2, 0, 0, 2, 4, 3, 3, 1, 3, 0, 0, 3, 0, 3, 1, 3, 1, 3, 0, 0, 0, 3, 3, 2, 1, 2, 4, 1, 1, 4, 1, 3, 1, 3, 1, 3, 4, 4, 3, 1, 2, 2, 0, 4, 2, 0, 2, 3, 0, 1, 1, 2, 1, 2, 2, 2, 3, 2, 0, 0, 1, 2, 3, 4, 2, 2, 1, 4, 3, 2, 0, 0, 3, 1, 3, 2, 4, 2, 1, 3, 2, 0, 3, 0, 3, 4, 0, 2, 1, 3, 1, 3, 0, 4, 1, 1, 1, 3, 0, 2, 1, 2, 3, 0, 0, 3, 3, 4, 1, 4, 1, 3, 3, 3, 2, 1, 1, 3, 3, 2, 4, 2, 0, 0, 4, 3, 4, 2, 1, 3, 1, 4, 4, 0, 1, 3, 2, 2, 2, 0, 2, 2, 0, 3, 1, 2, 3, 3, 2, 0, 3, 0, 1, 0, 2, 0, 3, 2, 0, 4, 2, 0, 4, 2, 4, 1, 4, 2, 0, 4, 4, 2, 0, 0, 4, 0, 4, 4, 1, 4, 2, 4, 4, 3, 0, 1, 2, 4, 2, 1, 4, 1, 4, 4, 3, 2, 3, 4, 2, 1, 0, 2, 0, 0, 4, 3, 4, 1, 1, 1, 0, 2, 1, 2, 4, 1, 3, 4, 3, 4, 3, 0, 0, 0, 2, 2, 0, 2, 3, 4, 1, 2, 2, 4, 3, 2, 2, 0, 1, 4, 1, 1, 2, 0, 1, 0, 1, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 3, 0, 2, 0, 1, 2, 1, 0] pubkeycol801 = [2, 0, 0, 3, 1, 4, 2, 3, 3, 3, 0, 0, 0, 4, 3, 2, 0, 3, 3, 1, 2, 1, 4, 1, 3, 2, 0, 2, 3, 0, 0, 1, 0, 0, 0, 4, 4, 3, 1, 1, 0, 4, 1, 4, 4, 1, 2, 2, 0, 1, 0, 3, 2, 3, 3, 4, 3, 2, 2, 1, 4, 4, 1, 1, 3, 1, 3, 1, 0, 3, 1, 1, 1, 3, 2, 1, 2, 4, 4, 1, 0, 4, 2, 0, 4, 2, 0, 1, 2, 4, 3, 1, 0, 0, 1, 0, 1, 3, 3, 4, 1, 4, 3, 4, 2, 2, 0, 1, 3, 4, 0, 2, 3, 4, 0, 3, 4, 4, 4, 3, 2, 0, 4, 3, 0, 3, 1, 3, 1, 0, 1, 3, 3, 3, 4, 4, 0, 2, 3, 2, 2, 4, 2, 0, 3, 2, 4, 2, 0, 0, 1, 2, 2, 3, 1, 1, 0, 0, 0, 4, 0, 0, 1, 4, 2, 3, 4, 2, 3, 4, 1, 0, 0, 0, 2, 3, 4, 3, 0, 0, 1, 3, 3, 4, 2, 1, 3, 2, 4, 0, 2, 3, 4, 4, 1, 1, 4, 3, 0, 1, 2, 0, 4, 2, 3, 3, 2, 1, 3, 4, 3, 1, 3, 0, 2, 3, 0, 4, 3, 1, 4, 0, 2, 1, 3, 1, 3, 1, 1, 3, 1, 4, 2, 3, 0, 3, 1, 3, 4, 0, 0, 4, 2, 4, 3, 3, 2, 3, 3, 3, 4, 2, 1, 4, 2, 2, 3, 4, 4, 1, 0, 4, 1, 4, 3, 0, 4, 3, 0, 1, 4, 2, 1, 4, 4, 0, 1, 3, 3, 2, 1, 3, 1, 4, 0, 0, 3, 1, 0, 0, 2, 4, 3, 0, 1, 3, 1, 0, 4, 4, 0, 4, 0, 1, 0, 3, 2, 0, 4, 0, 3, 0, 4, 3, 0, 1, 1, 2, 4, 3] pubkeycol802 = [0, 0, 2, 2, 4, 4, 1, 4, 4, 3, 0, 1, 1, 0, 0, 4, 0, 1, 4, 1, 3, 2, 1, 0, 2, 1, 2, 3, 0, 3, 0, 1, 2, 2, 3, 4, 4, 2, 3, 1, 2, 4, 1, 3, 3, 3, 0, 4, 3, 4, 1, 1, 0, 1, 1, 1, 2, 1, 3, 4, 4, 2, 2, 4, 4, 4, 0, 2, 4, 4, 3, 1, 2, 1, 1, 3, 0, 2, 0, 2, 3, 0, 3, 2, 2, 4, 1, 1, 1, 4, 4, 4, 0, 4, 0, 0, 0, 3, 4, 1, 2, 1, 3, 3, 1, 2, 4, 1, 3, 1, 0, 2, 1, 0, 4, 1, 4, 2, 0, 0, 3, 0, 3, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 4, 3, 3, 1, 2, 4, 3, 1, 2, 4, 0, 0, 0, 0, 3, 3, 4, 0, 4, 1, 4, 1, 4, 3, 2, 0, 4, 1, 2, 2, 2, 1, 0, 4, 1, 3, 0, 2, 4, 3, 3, 4, 2, 1, 1, 4, 2, 1, 4, 3, 1, 2, 1, 2, 1, 0, 0, 2, 3, 4, 1, 2, 3, 1, 3, 0, 3, 4, 0, 0, 2, 1, 2, 1, 4, 4, 4, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 3, 4, 0, 3, 4, 2, 4, 1, 0, 1, 3, 3, 2, 4, 1, 3, 3, 3, 3, 0, 4, 2, 1, 4, 1, 4, 3, 3, 1, 4, 3, 3, 1, 2, 0, 3, 4, 0, 2, 1, 0, 0, 1, 3, 4, 3, 0, 2, 4, 4, 0, 3, 1, 2, 0, 4, 0, 3, 0, 4, 0, 4, 2, 0, 4, 0, 4, 1, 1, 3, 0, 1, 1, 3, 4, 2, 2, 2, 1, 4, 2, 3, 1, 2, 0, 4, 2, 2, 4, 1, 0, 4, 3, 2, 3, 0, 1, 1, 0] pubkeycol803 = [4, 3, 1, 1, 0, 0, 4, 1, 4, 4, 3, 3, 4, 4, 2, 0, 3, 3, 1, 4, 4, 0, 3, 0, 1, 4, 2, 0, 3, 2, 4, 2, 3, 4, 2, 2, 2, 0, 4, 3, 3, 4, 3, 1, 0, 0, 4, 2, 4, 0, 4, 2, 0, 1, 3, 3, 1, 1, 3, 0, 2, 4, 4, 3, 1, 0, 1, 3, 2, 0, 2, 4, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 4, 0, 4, 0, 2, 4, 4, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 4, 0, 2, 1, 0, 4, 1, 0, 2, 4, 4, 1, 3, 1, 0, 2, 2, 0, 4, 2, 3, 2, 3, 1, 2, 2, 4, 3, 0, 2, 3, 3, 0, 1, 1, 0, 0, 4, 2, 3, 3, 2, 1, 2, 4, 4, 1, 3, 3, 3, 3, 1, 4, 2, 4, 1, 2, 3, 1, 2, 1, 4, 0, 4, 0, 2, 2, 0, 3, 0, 4, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 3, 4, 0, 0, 2, 4, 0, 1, 2, 0, 3, 3, 3, 2, 1, 0, 1, 0, 2, 2, 2, 4, 2, 4, 3, 1, 2, 0, 3, 4, 1, 1, 3, 1, 3, 4, 3, 3, 0, 4, 2, 0, 1, 4, 0, 1, 3, 0, 0, 4, 0, 1, 2, 4, 2, 0, 4, 1, 0, 4, 4, 3, 1, 2, 4, 1, 1, 4, 0, 2, 4, 3, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 4, 0, 0, 3, 2, 4, 2, 0, 3, 0, 4, 4, 0, 0, 1, 4, 0, 3, 2, 1, 0, 3, 4, 2, 4, 2, 4, 3, 1, 4, 0, 0, 3, 3, 1, 0, 1, 3, 0, 0, 4, 4, 1, 0, 1, 2, 1, 2, 2, 4, 0, 1, 0, 4, 3] pubkeycol804 = [0, 2, 2, 1, 4, 4, 3, 2, 2, 4, 1, 2, 4, 1, 1, 4, 2, 2, 4, 4, 0, 2, 1, 4, 3, 1, 0, 1, 0, 2, 1, 2, 2, 1, 4, 1, 3, 1, 1, 2, 1, 4, 2, 0, 3, 4, 0, 2, 3, 4, 4, 4, 1, 4, 4, 0, 2, 0, 2, 4, 0, 0, 3, 0, 3, 4, 0, 3, 3, 1, 1, 1, 2, 2, 1, 0, 4, 1, 0, 4, 2, 0, 3, 1, 4, 0, 2, 0, 4, 0, 3, 4, 0, 3, 1, 1, 4, 2, 2, 2, 0, 0, 0, 3, 4, 2, 4, 4, 2, 1, 2, 3, 2, 3, 2, 1, 2, 4, 2, 3, 0, 1, 4, 1, 0, 3, 2, 3, 2, 0, 4, 2, 4, 1, 3, 2, 0, 1, 4, 2, 0, 0, 3, 3, 3, 2, 2, 0, 2, 2, 0, 1, 4, 2, 0, 4, 3, 0, 3, 3, 2, 0, 3, 3, 0, 1, 1, 4, 3, 2, 3, 0, 3, 4, 2, 0, 2, 1, 2, 3, 3, 1, 0, 1, 3, 1, 0, 2, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 3, 1, 3, 1, 3, 3, 4, 3, 4, 4, 0, 0, 0, 4, 1, 1, 2, 4, 3, 2, 0, 2, 1, 0, 1, 4, 3, 3, 2, 4, 4, 0, 4, 2, 2, 2, 0, 0, 0, 0, 3, 3, 2, 1, 1, 0, 4, 0, 3, 1, 1, 3, 1, 0, 4, 1, 3, 1, 0, 2, 4, 0, 1, 4, 1, 4, 2, 3, 2, 0, 0, 2, 2, 4, 4, 1, 1, 0, 0, 3, 2, 1, 1, 1, 1, 4, 3, 2, 0, 3, 2, 3, 2, 0, 4, 4, 3, 1, 1, 4, 2, 0, 3, 3, 4, 0, 0, 1, 3, 3, 2, 3, 3, 2, 2, 4, 2, 2, 1, 0, 3, 2] pubkeycol805 = [0, 0, 3, 4, 4, 4, 0, 4, 0, 0, 3, 2, 2, 1, 2, 4, 1, 2, 3, 3, 3, 3, 3, 0, 2, 2, 2, 0, 3, 3, 3, 2, 0, 3, 0, 3, 3, 3, 4, 1, 0, 2, 0, 3, 3, 1, 4, 2, 0, 2, 0, 0, 3, 3, 0, 4, 0, 2, 3, 4, 4, 0, 2, 4, 0, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 4, 0, 3, 3, 3, 4, 0, 2, 1, 0, 1, 0, 3, 1, 2, 0, 3, 0, 4, 4, 4, 1, 0, 0, 4, 1, 4, 1, 4, 1, 3, 2, 0, 1, 2, 0, 2, 0, 0, 3, 3, 1, 4, 4, 3, 0, 3, 0, 3, 4, 2, 4, 0, 3, 3, 3, 3, 1, 4, 2, 4, 1, 2, 2, 0, 4, 2, 3, 4, 1, 3, 4, 3, 1, 2, 3, 1, 3, 3, 1, 0, 0, 2, 0, 0, 1, 3, 2, 3, 1, 3, 1, 0, 1, 3, 2, 2, 3, 1, 1, 4, 0, 1, 2, 1, 3, 3, 4, 4, 1, 2, 3, 0, 4, 3, 2, 1, 2, 2, 1, 3, 1, 0, 2, 4, 2, 3, 3, 1, 2, 3, 2, 2, 1, 2, 4, 4, 3, 0, 2, 0, 0, 4, 1, 2, 3, 2, 2, 3, 4, 0, 2, 2, 0, 3, 3, 0, 3, 3, 4, 0, 0, 2, 1, 0, 3, 2, 4, 2, 0, 2, 0, 2, 4, 4, 1, 3, 3, 2, 4, 3, 4, 3, 3, 1, 2, 0, 2, 2, 4, 4, 3, 1, 1, 4, 0, 0, 3, 1, 4, 3, 3, 0, 2, 3, 1, 3, 0, 3, 4, 2, 1, 3, 0, 4, 1, 2, 4, 1, 3, 2, 4, 0, 3, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 4, 0, 4, 4, 1, 1, 0, 4, 3, 4, 1] pubkeycol806 = [1, 4, 4, 3, 3, 1, 0, 3, 4, 1, 3, 1, 0, 4, 4, 2, 1, 0, 1, 2, 1, 3, 3, 2, 1, 4, 2, 0, 1, 3, 2, 2, 0, 0, 4, 1, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 1, 2, 4, 3, 0, 1, 4, 1, 0, 0, 4, 3, 1, 2, 0, 0, 3, 2, 1, 4, 3, 3, 0, 4, 2, 4, 1, 4, 0, 3, 0, 1, 0, 3, 2, 0, 3, 4, 2, 4, 2, 3, 4, 4, 1, 3, 3, 4, 1, 2, 3, 1, 0, 4, 1, 3, 2, 0, 3, 3, 4, 4, 2, 2, 3, 2, 1, 3, 3, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 2, 4, 1, 2, 1, 4, 0, 4, 1, 0, 3, 3, 1, 1, 4, 0, 1, 1, 3, 1, 3, 0, 2, 1, 1, 0, 2, 0, 0, 3, 1, 4, 3, 0, 4, 2, 4, 2, 1, 3, 2, 1, 1, 3, 1, 4, 2, 1, 0, 2, 4, 0, 2, 2, 0, 4, 4, 0, 0, 4, 1, 3, 0, 2, 4, 2, 3, 3, 4, 4, 2, 2, 3, 0, 0, 3, 2, 1, 4, 1, 2, 3, 0, 4, 0, 2, 1, 2, 2, 4, 0, 0, 0, 3, 1, 1, 4, 1, 4, 1, 3, 0, 2, 3, 2, 0, 1, 4, 3, 4, 1, 2, 4, 2, 1, 4, 4, 2, 1, 3, 1, 3, 3, 1, 2, 2, 3, 0, 3, 4, 3, 1, 1, 1, 3, 2, 4, 4, 3, 3, 0, 4, 4, 4, 4, 0, 3, 1, 1, 2, 4, 0, 3, 1, 4, 2, 3, 4, 4, 1, 0, 2, 4, 1, 0, 0, 0, 3, 0, 3, 3, 3, 2, 1, 1, 4, 0, 4, 4, 1, 1, 0, 4, 3, 3, 4, 3, 0, 0, 1, 4, 2, 2, 3] pubkeycol807 = [2, 0, 1, 0, 0, 1, 2, 3, 1, 3, 1, 0, 2, 0, 4, 4, 3, 4, 0, 4, 2, 1, 0, 4, 0, 1, 0, 2, 1, 2, 3, 0, 2, 4, 3, 1, 4, 2, 3, 2, 3, 1, 0, 1, 0, 4, 3, 2, 1, 2, 1, 3, 1, 3, 1, 1, 3, 0, 3, 2, 0, 3, 3, 4, 1, 1, 1, 2, 4, 3, 1, 3, 3, 3, 3, 2, 1, 1, 0, 2, 1, 2, 1, 4, 3, 0, 4, 1, 1, 2, 4, 3, 1, 1, 4, 3, 4, 4, 3, 4, 3, 4, 2, 1, 1, 1, 3, 1, 0, 3, 2, 2, 0, 1, 4, 3, 3, 1, 3, 4, 3, 2, 0, 1, 2, 2, 1, 0, 4, 4, 4, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 4, 0, 4, 0, 4, 1, 3, 3, 0, 2, 4, 0, 1, 4, 1, 2, 3, 4, 2, 3, 1, 1, 3, 2, 4, 0, 3, 2, 3, 4, 0, 4, 2, 0, 4, 3, 3, 4, 2, 4, 3, 1, 3, 3, 2, 1, 0, 1, 2, 3, 0, 2, 1, 0, 1, 4, 3, 0, 2, 1, 3, 3, 0, 1, 3, 2, 2, 1, 3, 0, 3, 4, 3, 0, 0, 0, 4, 3, 0, 3, 3, 1, 1, 4, 4, 0, 1, 3, 3, 3, 1, 0, 1, 2, 1, 0, 2, 0, 0, 3, 1, 2, 3, 4, 4, 1, 1, 1, 1, 4, 0, 0, 2, 4, 2, 2, 2, 3, 0, 3, 1, 2, 3, 3, 3, 3, 2, 4, 1, 1, 2, 2, 4, 3, 1, 1, 1, 3, 1, 2, 0, 1, 1, 3, 2, 1, 3, 2, 0, 4, 2, 0, 2, 2, 3, 4, 1, 0, 2, 1, 3, 3, 3, 1, 0, 3, 3, 3, 2, 0, 1, 2, 2, 4, 1, 3, 0, 4, 2] pubkeycol808 = [1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 3, 3, 4, 0, 2, 3, 0, 4, 0, 3, 0, 0, 2, 3, 2, 1, 4, 2, 4, 4, 3, 0, 0, 0, 1, 4, 2, 0, 0, 3, 1, 4, 2, 0, 0, 3, 0, 1, 0, 4, 3, 3, 2, 1, 0, 3, 1, 3, 4, 3, 0, 1, 0, 2, 1, 0, 4, 0, 3, 0, 0, 1, 4, 3, 1, 3, 0, 1, 3, 3, 3, 3, 1, 1, 2, 4, 3, 3, 2, 3, 1, 4, 1, 4, 3, 3, 3, 3, 4, 0, 4, 1, 2, 4, 3, 0, 1, 4, 3, 4, 4, 1, 0, 0, 4, 0, 2, 2, 0, 2, 2, 3, 2, 0, 3, 0, 4, 1, 4, 3, 1, 0, 3, 1, 3, 0, 4, 4, 4, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 4, 4, 2, 3, 0, 2, 3, 0, 2, 1, 1, 3, 1, 2, 0, 3, 1, 0, 2, 4, 2, 0, 0, 1, 2, 0, 4, 2, 3, 2, 4, 0, 0, 4, 3, 4, 0, 0, 2, 2, 1, 0, 0, 3, 1, 1, 3, 2, 3, 3, 4, 2, 2, 1, 4, 3, 0, 2, 1, 0, 3, 1, 2, 2, 4, 1, 4, 4, 0, 2, 3, 1, 3, 2, 4, 3, 3, 3, 0, 0, 0, 0, 0, 4, 2, 0, 0, 3, 2, 2, 3, 1, 2, 2, 2, 1, 4, 0, 1, 0, 4, 2, 3, 1, 1, 1, 1, 4, 3, 0, 3, 3, 3, 3, 3, 4, 3, 1, 2, 1, 3, 0, 0, 3, 0, 2, 2, 2, 1, 3, 0, 2, 1, 1, 1, 3, 1, 1, 2, 4, 4, 4, 3, 0, 4, 3, 0, 2, 0, 1, 2, 0, 4, 1] pubkeycol809 = [1, 1, 4, 0, 1, 3, 0, 2, 3, 0, 4, 3, 2, 3, 3, 2, 3, 1, 3, 2, 0, 0, 3, 2, 4, 2, 2, 2, 3, 0, 0, 4, 4, 4, 1, 4, 2, 3, 1, 3, 3, 1, 1, 1, 2, 2, 4, 3, 1, 1, 3, 3, 3, 1, 0, 2, 2, 0, 4, 4, 2, 3, 1, 0, 3, 1, 1, 3, 3, 1, 3, 4, 2, 0, 2, 4, 0, 3, 4, 1, 2, 4, 4, 4, 0, 0, 3, 3, 0, 1, 1, 1, 0, 3, 2, 1, 1, 4, 1, 4, 4, 2, 3, 2, 4, 1, 4, 1, 0, 3, 1, 3, 3, 2, 1, 0, 4, 0, 2, 2, 3, 1, 3, 1, 1, 3, 2, 2, 4, 0, 3, 3, 0, 3, 1, 3, 4, 4, 2, 4, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 1, 4, 4, 2, 2, 3, 1, 3, 2, 1, 1, 4, 1, 3, 0, 3, 0, 1, 1, 0, 1, 1, 0, 3, 4, 1, 0, 2, 0, 1, 3, 1, 1, 3, 1, 2, 3, 1, 3, 2, 4, 2, 2, 2, 2, 0, 2, 4, 2, 4, 4, 4, 0, 1, 0, 1, 4, 2, 0, 4, 0, 1, 1, 4, 3, 4, 0, 0, 0, 4, 4, 0, 2, 2, 2, 3, 0, 4, 0, 2, 3, 2, 3, 4, 1, 0, 0, 3, 4, 3, 4, 3, 1, 2, 4, 3, 1, 2, 3, 3, 1, 0, 0, 3, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 4, 3, 1, 0, 2, 3, 4, 3, 1, 1, 3, 2, 0, 2, 0, 2, 4, 3, 0, 1, 3, 2, 2, 2, 2, 0, 0, 3, 4, 0, 3, 0, 1, 1, 1, 0, 1, 3, 1, 1, 0, 1, 4, 3, 4, 3, 0, 4, 3, 4, 1, 0, 1, 0, 4, 3] pubkeycol810 = [1, 2, 4, 1, 0, 1, 3, 0, 2, 4, 3, 0, 2, 4, 0, 1, 4, 1, 4, 0, 2, 4, 2, 2, 1, 3, 4, 2, 4, 2, 4, 0, 1, 4, 2, 2, 0, 1, 1, 4, 4, 1, 1, 3, 1, 0, 4, 4, 0, 2, 0, 1, 1, 2, 4, 0, 1, 0, 2, 0, 0, 2, 2, 4, 1, 1, 0, 4, 2, 3, 1, 0, 2, 0, 4, 4, 0, 1, 1, 4, 1, 0, 3, 1, 1, 2, 4, 3, 3, 3, 1, 1, 0, 0, 3, 1, 4, 0, 0, 3, 4, 2, 2, 1, 3, 2, 2, 3, 4, 3, 4, 4, 2, 3, 2, 1, 1, 3, 3, 2, 0, 1, 3, 1, 0, 3, 2, 4, 3, 0, 2, 2, 0, 3, 4, 2, 4, 3, 2, 1, 4, 0, 1, 3, 0, 0, 0, 1, 1, 2, 3, 1, 0, 2, 2, 0, 4, 3, 1, 4, 1, 1, 1, 3, 4, 2, 0, 2, 1, 4, 4, 4, 0, 0, 3, 4, 1, 4, 0, 0, 4, 4, 0, 3, 2, 2, 1, 1, 1, 3, 0, 4, 4, 2, 4, 2, 2, 2, 3, 3, 1, 1, 1, 0, 2, 4, 1, 0, 0, 2, 2, 0, 3, 3, 2, 2, 0, 2, 0, 2, 1, 4, 0, 0, 1, 2, 2, 4, 2, 0, 0, 0, 2, 4, 2, 4, 2, 1, 1, 3, 2, 2, 2, 4, 0, 3, 1, 4, 3, 1, 1, 1, 2, 0, 1, 3, 2, 2, 3, 4, 4, 0, 0, 2, 3, 2, 4, 3, 4, 2, 3, 2, 3, 0, 2, 0, 0, 2, 1, 0, 0, 4, 4, 1, 4, 0, 1, 2, 4, 4, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 4, 0, 1, 3, 0, 3, 1, 4, 2, 4, 3, 4, 2, 0, 0, 4, 2, 2, 4] pubkeycol811 = [3, 4, 1, 4, 1, 0, 3, 2, 3, 1, 2, 4, 3, 3, 3, 0, 3, 4, 0, 0, 2, 2, 2, 4, 2, 3, 4, 3, 4, 0, 1, 4, 2, 2, 1, 4, 4, 2, 3, 2, 2, 3, 1, 2, 0, 1, 1, 1, 2, 3, 4, 4, 2, 2, 3, 3, 1, 2, 2, 2, 4, 1, 0, 0, 2, 3, 3, 2, 0, 0, 2, 0, 3, 2, 2, 3, 2, 0, 4, 0, 4, 4, 4, 0, 3, 4, 0, 2, 2, 0, 0, 0, 4, 4, 3, 1, 4, 4, 3, 0, 3, 2, 1, 3, 0, 4, 3, 3, 2, 3, 3, 3, 4, 2, 2, 4, 2, 4, 4, 4, 4, 1, 0, 3, 3, 2, 0, 2, 3, 0, 2, 1, 4, 2, 3, 3, 0, 1, 4, 4, 1, 4, 0, 0, 2, 4, 3, 0, 4, 0, 3, 2, 0, 1, 2, 3, 0, 1, 2, 1, 4, 4, 2, 2, 4, 3, 3, 3, 1, 0, 4, 4, 1, 0, 0, 0, 1, 4, 1, 0, 2, 4, 4, 3, 0, 2, 1, 4, 0, 2, 1, 2, 2, 2, 4, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 4, 3, 2, 3, 3, 3, 2, 0, 0, 1, 3, 1, 3, 1, 3, 1, 1, 3, 4, 1, 3, 2, 3, 4, 2, 1, 2, 1, 3, 2, 4, 0, 0, 2, 2, 0, 2, 2, 0, 4, 1, 3, 4, 1, 1, 2, 4, 0, 0, 1, 3, 0, 2, 3, 2, 1, 3, 4, 3, 2, 3, 2, 2, 3, 4, 2, 0, 1, 1, 0, 3, 0, 0, 2, 2, 4, 4, 1, 2, 2, 2, 2, 1, 3, 2, 4, 3, 0, 2, 1, 3, 0, 4, 4, 4, 3, 4, 4, 0, 3, 2, 2, 0, 1, 2, 2, 3, 2, 4, 0] pubkeycol812 = [0, 1, 3, 3, 1, 2, 2, 1, 4, 3, 4, 0, 4, 2, 2, 3, 0, 1, 1, 4, 2, 0, 4, 3, 3, 0, 3, 4, 3, 0, 2, 4, 1, 2, 1, 2, 4, 1, 1, 2, 0, 0, 3, 4, 2, 2, 0, 2, 3, 3, 0, 3, 4, 2, 0, 1, 2, 2, 3, 0, 0, 1, 3, 4, 1, 3, 3, 3, 4, 1, 3, 4, 3, 1, 4, 2, 2, 3, 0, 3, 0, 1, 2, 2, 4, 2, 1, 0, 3, 1, 2, 0, 4, 4, 1, 3, 3, 0, 2, 1, 2, 3, 3, 1, 2, 2, 4, 4, 4, 2, 0, 0, 4, 0, 0, 0, 4, 4, 4, 2, 1, 4, 0, 0, 3, 3, 1, 4, 4, 2, 3, 3, 3, 1, 3, 4, 2, 1, 2, 4, 3, 0, 1, 2, 0, 3, 0, 4, 2, 2, 4, 1, 1, 2, 1, 2, 1, 1, 3, 2, 2, 4, 1, 1, 2, 3, 4, 3, 2, 4, 2, 1, 1, 0, 1, 0, 1, 0, 3, 1, 4, 0, 3, 3, 1, 0, 0, 4, 4, 4, 2, 4, 0, 1, 4, 2, 4, 0, 2, 0, 0, 1, 3, 4, 1, 0, 3, 2, 2, 4, 1, 2, 1, 2, 2, 4, 3, 1, 2, 3, 2, 0, 2, 1, 4, 3, 2, 1, 4, 1, 2, 2, 4, 4, 3, 4, 2, 3, 3, 3, 0, 0, 3, 0, 3, 1, 0, 0, 2, 2, 3, 3, 3, 3, 0, 4, 1, 2, 1, 1, 4, 4, 0, 1, 0, 4, 3, 0, 3, 2, 4, 2, 0, 1, 4, 1, 3, 2, 1, 4, 3, 2, 0, 1, 2, 2, 1, 2, 0, 3, 1, 2, 4, 4, 4, 3, 3, 1, 2, 2, 0, 0, 4, 4, 2, 0, 0, 0, 4, 3, 1, 1, 1, 4, 2, 0, 0, 1, 0, 4] pubkeycol813 = [3, 4, 3, 0, 0, 3, 4, 4, 2, 0, 2, 2, 4, 0, 1, 3, 1, 0, 3, 2, 4, 1, 2, 2, 3, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 3, 4, 0, 3, 3, 2, 3, 2, 2, 4, 4, 2, 4, 1, 4, 2, 1, 0, 2, 1, 0, 4, 3, 0, 4, 2, 3, 0, 3, 2, 2, 2, 0, 1, 3, 1, 1, 4, 2, 2, 3, 0, 2, 2, 0, 0, 1, 1, 3, 3, 4, 1, 2, 2, 0, 4, 4, 4, 2, 0, 0, 4, 4, 0, 1, 0, 4, 3, 0, 1, 0, 4, 0, 0, 2, 2, 4, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 3, 1, 2, 3, 4, 4, 3, 4, 1, 4, 2, 3, 1, 2, 4, 2, 0, 4, 3, 1, 0, 0, 1, 1, 3, 2, 1, 0, 3, 1, 1, 2, 3, 0, 2, 0, 1, 0, 4, 2, 0, 2, 1, 3, 4, 0, 4, 1, 3, 3, 2, 0, 3, 1, 3, 4, 3, 3, 2, 0, 0, 2, 1, 0, 1, 1, 1, 3, 0, 0, 3, 3, 3, 2, 0, 3, 4, 3, 4, 4, 0, 4, 2, 2, 4, 3, 0, 2, 3, 0, 0, 0, 1, 1, 0, 0, 0, 4, 1, 1, 3, 4, 3, 3, 2, 3, 3, 2, 3, 0, 1, 3, 1, 4, 4, 3, 0, 4, 0, 3, 3, 1, 1, 3, 2, 2, 0, 0, 3, 3, 2, 1, 1, 4, 4, 1, 4, 3, 2, 2, 4, 4, 0, 2, 1, 1, 2, 2, 3, 1, 3, 3, 4, 4, 1, 3, 2, 1, 3, 3, 4, 1, 4, 3, 4, 1, 2, 3, 4, 2, 3, 0, 1, 0, 2, 1, 2, 4, 4, 1, 3, 0, 4, 4, 3, 4, 0, 2, 4, 3, 2, 0, 3, 0, 1, 3, 3] pubkeycol814 = [0, 0, 1, 3, 1, 1, 1, 3, 3, 1, 2, 4, 2, 0, 0, 3, 3, 3, 3, 0, 1, 2, 3, 3, 3, 2, 0, 1, 2, 4, 2, 4, 4, 0, 4, 1, 4, 0, 2, 1, 3, 3, 0, 0, 3, 3, 2, 3, 2, 3, 0, 3, 4, 4, 0, 4, 0, 3, 3, 2, 0, 1, 4, 3, 2, 4, 2, 2, 4, 1, 4, 3, 3, 3, 0, 1, 2, 2, 3, 1, 1, 3, 2, 1, 3, 2, 2, 4, 0, 3, 0, 4, 1, 4, 1, 0, 2, 0, 0, 2, 1, 4, 4, 0, 1, 3, 2, 3, 3, 4, 3, 1, 4, 3, 0, 4, 0, 4, 3, 4, 0, 1, 1, 1, 2, 3, 1, 4, 0, 3, 2, 2, 4, 1, 1, 3, 3, 0, 1, 4, 0, 2, 2, 1, 4, 1, 4, 4, 0, 0, 1, 0, 1, 4, 3, 0, 3, 3, 0, 3, 0, 1, 2, 1, 1, 1, 0, 1, 3, 2, 0, 4, 2, 0, 2, 4, 3, 1, 0, 2, 0, 4, 1, 0, 3, 4, 2, 3, 2, 4, 0, 4, 2, 3, 3, 2, 2, 4, 1, 0, 3, 2, 1, 1, 4, 4, 2, 0, 3, 0, 1, 0, 3, 1, 1, 3, 4, 4, 2, 0, 0, 0, 3, 3, 1, 2, 2, 1, 2, 2, 3, 4, 0, 0, 3, 2, 3, 2, 0, 1, 2, 2, 3, 2, 4, 0, 4, 4, 4, 2, 3, 0, 0, 0, 3, 1, 2, 2, 0, 2, 3, 3, 4, 0, 2, 1, 0, 1, 3, 2, 3, 2, 1, 3, 1, 4, 4, 3, 1, 4, 1, 1, 0, 1, 0, 4, 4, 0, 2, 2, 4, 2, 1, 3, 2, 3, 4, 2, 0, 0, 1, 3, 1, 2, 2, 0, 0, 0, 2, 0, 0, 3, 3, 3, 3, 4, 2, 3, 4, 1] pubkeycol815 = [3, 1, 1, 1, 1, 0, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 2, 3, 3, 4, 3, 3, 2, 1, 0, 1, 4, 2, 3, 3, 2, 2, 2, 4, 1, 0, 0, 0, 4, 3, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 2, 2, 1, 1, 4, 2, 4, 2, 3, 2, 2, 2, 1, 3, 4, 2, 3, 1, 2, 3, 1, 0, 4, 4, 0, 1, 2, 0, 4, 1, 4, 2, 2, 2, 2, 0, 1, 4, 2, 0, 1, 3, 3, 4, 2, 3, 4, 0, 0, 1, 3, 3, 4, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 4, 0, 3, 4, 3, 3, 4, 4, 3, 1, 4, 1, 4, 3, 4, 1, 0, 1, 0, 1, 0, 4, 4, 2, 0, 2, 4, 1, 1, 3, 1, 3, 4, 3, 0, 0, 4, 1, 3, 4, 2, 0, 4, 1, 0, 2, 3, 2, 0, 3, 4, 4, 4, 3, 0, 0, 1, 4, 4, 0, 0, 4, 3, 1, 3, 1, 0, 2, 0, 4, 3, 3, 3, 4, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 3, 2, 0, 4, 0, 1, 1, 2, 4, 3, 4, 0, 0, 4, 1, 4, 1, 3, 4, 3, 0, 1, 1, 4, 3, 2, 3, 0, 4, 1, 3, 2, 0, 1, 4, 0, 1, 1, 4, 4, 2, 3, 4, 4, 4, 4, 1, 2, 4, 3, 3, 3, 2, 3, 2, 4, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 4, 2, 0, 3, 4, 1, 2, 4, 0, 1, 3, 4, 3, 0, 0, 3, 2, 3, 4, 3, 4, 1, 1, 0, 0, 2, 1, 2, 0, 2, 4, 2, 0, 2, 2, 3, 1, 2, 4, 0, 1, 0, 4, 4, 1, 0] pubkeycol816 = [0, 0, 2, 1, 2, 1, 1, 2, 3, 2, 0, 2, 4, 4, 2, 0, 1, 1, 1, 1, 2, 4, 2, 3, 0, 1, 4, 1, 4, 3, 4, 0, 4, 1, 3, 4, 3, 3, 4, 3, 1, 2, 1, 3, 3, 1, 0, 4, 3, 2, 3, 4, 1, 4, 1, 0, 0, 3, 3, 1, 0, 0, 1, 0, 0, 3, 3, 1, 0, 3, 0, 2, 0, 3, 1, 3, 2, 2, 2, 0, 3, 4, 4, 0, 4, 0, 1, 0, 3, 4, 4, 4, 4, 0, 0, 4, 0, 3, 4, 4, 2, 2, 0, 2, 2, 2, 0, 4, 0, 0, 4, 4, 0, 2, 0, 2, 3, 0, 4, 2, 2, 4, 4, 1, 1, 2, 1, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 2, 1, 1, 4, 4, 1, 0, 1, 3, 1, 3, 3, 2, 4, 0, 2, 4, 4, 2, 3, 1, 0, 2, 1, 2, 4, 0, 4, 0, 3, 2, 4, 4, 1, 4, 1, 2, 0, 0, 4, 4, 1, 2, 4, 3, 0, 1, 4, 1, 3, 1, 4, 3, 1, 0, 1, 2, 3, 4, 2, 4, 3, 2, 3, 1, 1, 0, 0, 0, 1, 4, 4, 4, 1, 0, 0, 4, 1, 2, 1, 0, 4, 1, 0, 4, 3, 4, 2, 3, 2, 2, 2, 3, 0, 4, 1, 3, 4, 4, 1, 0, 1, 0, 0, 4, 0, 3, 2, 3, 0, 1, 2, 4, 3, 2, 0, 4, 3, 3, 0, 0, 4, 3, 3, 1, 1, 2, 3, 3, 3, 0, 0, 4, 1, 2, 0, 2, 0, 2, 4, 3, 4, 4, 2, 0, 1, 1, 4, 2, 3, 1, 2, 1, 1, 3, 2, 4, 4, 1, 3, 0, 2, 0, 0, 2, 1, 3, 1, 0, 4, 2, 4, 1, 1, 3, 1, 0, 0, 0, 2, 2, 3, 3] pubkeycol817 = [4, 3, 4, 3, 0, 0, 4, 0, 3, 0, 0, 2, 3, 3, 3, 0, 3, 2, 4, 4, 4, 0, 3, 1, 3, 4, 1, 4, 3, 4, 0, 0, 4, 2, 2, 2, 2, 4, 1, 3, 1, 2, 2, 0, 4, 3, 1, 0, 1, 4, 2, 3, 1, 1, 0, 1, 0, 4, 3, 2, 0, 4, 2, 0, 3, 1, 1, 1, 2, 1, 0, 2, 3, 3, 3, 0, 0, 1, 4, 4, 2, 0, 4, 0, 2, 1, 2, 0, 0, 0, 2, 3, 3, 2, 3, 1, 1, 0, 4, 2, 0, 1, 4, 3, 1, 1, 2, 2, 3, 2, 2, 3, 4, 3, 1, 3, 4, 0, 4, 1, 0, 1, 2, 0, 4, 4, 0, 2, 3, 1, 3, 4, 4, 2, 4, 0, 0, 3, 2, 2, 4, 4, 3, 1, 3, 4, 0, 3, 4, 3, 0, 3, 0, 4, 0, 1, 3, 4, 2, 0, 4, 1, 2, 3, 4, 2, 4, 1, 4, 2, 0, 0, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 0, 2, 0, 2, 1, 3, 1, 0, 1, 3, 3, 4, 2, 2, 4, 3, 3, 1, 2, 4, 2, 1, 1, 3, 4, 3, 3, 0, 2, 0, 4, 0, 3, 3, 0, 2, 0, 1, 4, 0, 4, 2, 3, 0, 3, 4, 2, 1, 2, 2, 2, 3, 4, 0, 3, 0, 1, 3, 4, 3, 3, 0, 4, 2, 2, 4, 4, 1, 2, 1, 1, 3, 4, 3, 4, 2, 0, 2, 4, 1, 0, 3, 3, 4, 2, 1, 1, 0, 3, 0, 3, 2, 1, 2, 1, 3, 0, 1, 3, 3, 1, 1, 3, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 3, 1, 3, 3, 4, 4, 2, 1, 4, 0, 0, 4, 2, 1, 0, 3, 1, 2, 1, 4, 0, 1, 2, 1] pubkeycol818 = [2, 0, 1, 4, 4, 4, 3, 0, 1, 1, 1, 0, 4, 2, 2, 1, 3, 4, 3, 0, 2, 2, 3, 3, 3, 2, 1, 0, 1, 0, 1, 2, 3, 0, 1, 0, 4, 4, 1, 1, 2, 3, 0, 0, 4, 2, 2, 1, 3, 0, 1, 4, 1, 1, 4, 0, 0, 3, 4, 4, 1, 2, 0, 4, 0, 0, 1, 0, 0, 1, 2, 4, 0, 3, 0, 3, 4, 4, 1, 0, 0, 2, 3, 4, 4, 2, 2, 0, 2, 0, 4, 3, 3, 1, 4, 0, 4, 0, 4, 4, 2, 3, 2, 1, 2, 3, 4, 2, 4, 3, 0, 2, 0, 3, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 3, 2, 1, 4, 0, 0, 1, 0, 2, 1, 4, 2, 0, 2, 2, 1, 3, 1, 2, 2, 1, 0, 1, 3, 4, 1, 0, 3, 0, 4, 1, 3, 4, 1, 4, 4, 1, 3, 2, 1, 4, 1, 3, 4, 3, 2, 2, 3, 3, 3, 0, 0, 4, 4, 0, 1, 1, 4, 2, 2, 1, 1, 4, 2, 3, 0, 2, 4, 2, 0, 0, 2, 0, 3, 0, 1, 0, 0, 3, 1, 3, 4, 4, 4, 0, 2, 1, 2, 0, 4, 3, 2, 3, 0, 4, 3, 0, 1, 2, 3, 3, 2, 0, 1, 0, 2, 0, 2, 0, 3, 3, 3, 4, 3, 2, 0, 4, 4, 2, 1, 3, 1, 4, 0, 0, 3, 0, 1, 2, 1, 4, 4, 0, 1, 1, 4, 4, 3, 0, 2, 1, 0, 1, 4, 2, 3, 0, 0, 4, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 4, 4, 3, 3, 3, 2, 3, 0, 0, 1, 2, 4, 4, 4, 0, 1, 2, 3, 4, 3, 1, 4, 4, 1, 2, 1, 4, 3, 3, 0, 3, 4, 1, 1] pubkeycol819 = [3, 3, 3, 1, 3, 4, 2, 4, 1, 0, 4, 1, 0, 1, 3, 3, 4, 0, 1, 3, 3, 1, 1, 3, 0, 2, 3, 0, 0, 0, 0, 0, 4, 3, 3, 0, 2, 2, 4, 3, 0, 2, 4, 2, 2, 4, 1, 1, 4, 3, 0, 4, 3, 0, 4, 0, 2, 0, 1, 0, 0, 1, 1, 1, 4, 0, 3, 1, 2, 0, 2, 4, 0, 1, 2, 0, 4, 3, 4, 1, 2, 1, 1, 3, 2, 2, 4, 0, 4, 0, 1, 1, 3, 4, 3, 4, 2, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 3, 4, 3, 4, 3, 2, 4, 2, 0, 2, 4, 2, 0, 1, 0, 4, 4, 2, 3, 4, 2, 0, 1, 2, 0, 3, 0, 2, 1, 1, 2, 3, 3, 3, 3, 4, 3, 3, 4, 1, 0, 4, 2, 1, 4, 1, 2, 4, 2, 1, 4, 3, 0, 2, 1, 3, 2, 3, 4, 4, 4, 0, 3, 1, 0, 3, 3, 3, 0, 4, 1, 2, 3, 1, 0, 0, 2, 0, 2, 0, 3, 4, 2, 0, 1, 0, 4, 3, 3, 4, 3, 3, 1, 4, 0, 2, 3, 2, 0, 2, 1, 3, 3, 3, 0, 2, 4, 2, 0, 3, 2, 0, 4, 2, 0, 4, 0, 1, 3, 4, 0, 2, 0, 2, 3, 1, 2, 0, 3, 0, 2, 1, 0, 2, 0, 2, 0, 3, 2, 0, 4, 1, 1, 4, 4, 0, 2, 4, 4, 3, 4, 4, 1, 4, 3, 2, 0, 3, 0, 3, 4, 1, 3, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 3, 0, 2, 2, 4, 4, 3, 0, 1, 1, 0, 1, 0, 2, 3, 1, 1, 4, 0, 3, 3, 0, 2, 4, 1, 4, 0, 4, 3, 3, 0, 0, 4, 3, 0, 3, 3] pubkeycol820 = [1, 1, 0, 2, 0, 0, 4, 1, 2, 4, 3, 0, 0, 3, 0, 4, 4, 3, 1, 4, 3, 2, 3, 4, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 4, 1, 0, 0, 4, 1, 1, 2, 2, 1, 4, 2, 2, 3, 3, 3, 4, 3, 1, 0, 0, 3, 1, 2, 4, 1, 4, 3, 3, 4, 1, 1, 1, 2, 0, 4, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 3, 1, 0, 2, 1, 2, 4, 2, 0, 2, 4, 3, 0, 2, 4, 1, 1, 4, 4, 3, 4, 2, 1, 3, 4, 1, 4, 2, 3, 3, 3, 1, 1, 1, 0, 3, 1, 2, 3, 2, 1, 0, 4, 2, 2, 4, 1, 2, 4, 0, 4, 4, 0, 3, 3, 3, 2, 1, 2, 3, 1, 2, 4, 2, 4, 2, 4, 2, 4, 2, 1, 2, 3, 3, 0, 2, 2, 0, 4, 3, 0, 1, 0, 1, 2, 4, 3, 2, 3, 2, 4, 1, 4, 0, 0, 1, 4, 2, 0, 2, 4, 1, 4, 3, 2, 3, 3, 2, 1, 3, 4, 1, 3, 1, 4, 4, 1, 0, 3, 4, 0, 3, 4, 3, 1, 1, 0, 3, 0, 3, 3, 2, 1, 3, 3, 3, 1, 1, 4, 0, 0, 1, 4, 4, 0, 4, 4, 4, 2, 3, 4, 4, 0, 1, 0, 3, 2, 0, 3, 1, 0, 3, 4, 4, 2, 1, 3, 0, 3, 1, 2, 3, 0, 1, 1, 1, 2, 4, 1, 4, 3, 3, 1, 4, 4, 3, 2, 1, 2, 0, 2, 4, 3, 3, 0, 1, 0, 1, 0, 4, 3, 2, 4, 2, 0, 3, 4, 3, 3, 1, 4, 4, 3, 1, 1, 3, 1, 3, 2, 1, 0, 4, 1, 4, 3, 4, 1, 4, 4, 2, 0, 3, 4, 4, 0, 1, 4, 0, 1] pubkeycol821 = [3, 4, 0, 1, 4, 1, 1, 4, 0, 2, 1, 2, 3, 3, 3, 0, 2, 0, 1, 4, 0, 2, 3, 2, 4, 1, 2, 1, 4, 2, 0, 0, 0, 0, 3, 4, 1, 3, 2, 1, 4, 0, 2, 0, 0, 2, 1, 2, 1, 4, 2, 0, 3, 4, 3, 1, 4, 1, 1, 1, 4, 2, 0, 4, 0, 3, 1, 3, 4, 0, 1, 2, 3, 4, 4, 0, 2, 1, 3, 4, 2, 3, 4, 4, 0, 4, 1, 2, 0, 2, 3, 0, 4, 3, 4, 1, 3, 2, 1, 1, 3, 4, 1, 4, 0, 3, 0, 1, 4, 4, 3, 4, 3, 0, 4, 0, 4, 3, 1, 0, 1, 0, 4, 2, 0, 4, 2, 0, 3, 4, 2, 0, 0, 2, 3, 2, 2, 3, 3, 3, 4, 4, 2, 3, 0, 0, 4, 3, 3, 1, 2, 2, 2, 4, 1, 3, 1, 1, 2, 0, 3, 0, 4, 3, 3, 2, 0, 2, 4, 2, 2, 0, 0, 4, 1, 3, 1, 1, 3, 3, 1, 4, 2, 4, 3, 1, 4, 0, 4, 2, 3, 0, 2, 0, 1, 1, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 4, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 3, 1, 4, 4, 1, 2, 3, 0, 1, 1, 2, 2, 1, 4, 2, 2, 1, 4, 2, 3, 4, 1, 1, 0, 3, 0, 4, 0, 0, 0, 2, 4, 2, 1, 2, 1, 2, 2, 1, 0, 0, 3, 0, 4, 3, 3, 0, 2, 1, 2, 0, 0, 2, 4, 2, 3, 3, 0, 3, 4, 0, 0, 0, 3, 4, 0, 1, 4, 1, 1, 1, 2, 0, 4, 4, 3, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 3, 1, 2] pubkeycol822 = [2, 1, 2, 0, 0, 4, 2, 3, 2, 0, 2, 4, 4, 2, 0, 3, 2, 3, 2, 1, 4, 1, 2, 4, 0, 4, 2, 3, 3, 0, 3, 3, 1, 3, 0, 3, 0, 3, 1, 1, 2, 1, 4, 2, 3, 2, 1, 1, 0, 0, 2, 2, 4, 0, 0, 4, 2, 0, 3, 0, 3, 2, 1, 4, 0, 3, 0, 3, 0, 0, 4, 4, 1, 2, 4, 3, 4, 4, 2, 3, 4, 2, 4, 3, 3, 3, 0, 2, 4, 4, 1, 1, 3, 1, 2, 1, 2, 1, 2, 3, 0, 3, 4, 1, 3, 0, 1, 1, 0, 0, 3, 1, 0, 1, 0, 0, 2, 4, 4, 1, 2, 3, 3, 2, 1, 0, 4, 4, 3, 4, 0, 4, 1, 1, 2, 4, 4, 2, 2, 4, 1, 4, 4, 2, 2, 3, 3, 1, 0, 0, 0, 2, 2, 1, 0, 3, 4, 3, 2, 2, 3, 1, 2, 0, 0, 0, 4, 4, 3, 2, 2, 1, 1, 4, 3, 4, 1, 2, 4, 4, 4, 2, 2, 3, 4, 1, 2, 4, 4, 4, 1, 2, 0, 3, 3, 2, 0, 2, 0, 2, 3, 4, 0, 1, 4, 4, 2, 4, 1, 2, 0, 0, 1, 1, 3, 0, 2, 4, 3, 2, 3, 0, 1, 0, 3, 1, 2, 3, 0, 3, 4, 0, 4, 3, 4, 0, 4, 2, 4, 2, 4, 2, 1, 4, 2, 1, 1, 1, 2, 3, 1, 2, 0, 2, 1, 3, 0, 0, 1, 3, 4, 3, 0, 1, 4, 3, 0, 2, 2, 3, 0, 2, 0, 3, 4, 2, 2, 4, 4, 2, 0, 3, 3, 0, 2, 2, 2, 3, 4, 3, 3, 3, 3, 2, 0, 2, 4, 0, 0, 4, 1, 2, 3, 4, 4, 1, 2, 2, 0, 3, 2, 1, 1, 4, 3, 1, 0, 0, 4, 1] pubkeycol823 = [1, 2, 4, 0, 2, 1, 4, 0, 1, 4, 4, 1, 2, 3, 1, 0, 1, 3, 0, 2, 0, 1, 0, 3, 3, 4, 4, 4, 4, 4, 2, 3, 4, 4, 1, 3, 1, 2, 4, 1, 0, 3, 3, 0, 0, 0, 0, 1, 0, 0, 3, 4, 4, 4, 2, 2, 2, 2, 1, 2, 0, 1, 4, 2, 4, 4, 0, 3, 0, 1, 4, 2, 0, 4, 1, 1, 3, 3, 4, 0, 0, 1, 3, 0, 3, 4, 0, 4, 2, 0, 1, 4, 1, 0, 2, 1, 4, 4, 4, 4, 0, 4, 0, 0, 0, 1, 4, 0, 2, 3, 1, 3, 3, 4, 0, 3, 4, 2, 1, 1, 1, 0, 4, 2, 0, 3, 1, 3, 1, 3, 2, 4, 4, 2, 0, 3, 4, 0, 2, 4, 4, 0, 4, 4, 1, 1, 0, 0, 2, 1, 0, 1, 4, 0, 3, 1, 4, 1, 1, 1, 0, 2, 4, 2, 1, 0, 3, 1, 3, 4, 4, 3, 0, 3, 1, 0, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 2, 4, 3, 4, 1, 3, 3, 2, 3, 0, 4, 0, 2, 0, 1, 0, 0, 4, 2, 4, 3, 2, 2, 4, 1, 1, 4, 1, 4, 0, 3, 1, 2, 3, 1, 2, 0, 3, 1, 0, 0, 4, 1, 1, 2, 4, 1, 2, 2, 3, 4, 0, 3, 0, 3, 2, 2, 4, 4, 1, 2, 1, 4, 1, 1, 3, 0, 1, 2, 4, 2, 1, 0, 3, 1, 4, 4, 3, 2, 0, 4, 3, 0, 2, 0, 0, 2, 2, 1, 3, 2, 3, 0, 4, 4, 2, 4, 4, 1, 4, 1, 2, 2, 0, 4, 0, 3, 0, 1, 3, 4, 1, 3, 4, 3, 1, 1, 4, 4, 4, 3, 2, 2, 0, 3, 2, 3, 0, 0, 4, 1, 1, 3, 3] pubkeycol824 = [4, 0, 4, 4, 1, 2, 4, 4, 3, 0, 2, 0, 1, 3, 1, 4, 3, 1, 0, 1, 3, 2, 1, 2, 3, 1, 2, 0, 0, 0, 1, 3, 1, 1, 0, 2, 4, 3, 0, 2, 3, 4, 4, 1, 1, 3, 4, 0, 3, 1, 2, 3, 4, 1, 4, 3, 4, 0, 4, 3, 4, 1, 2, 0, 2, 2, 3, 0, 1, 0, 4, 1, 3, 3, 2, 1, 2, 3, 4, 2, 0, 4, 1, 4, 1, 3, 3, 0, 2, 0, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 4, 2, 0, 4, 0, 0, 4, 3, 0, 4, 1, 1, 2, 3, 2, 4, 2, 2, 0, 0, 0, 3, 3, 3, 3, 4, 2, 0, 2, 1, 1, 2, 1, 1, 3, 3, 4, 1, 3, 3, 1, 3, 0, 1, 3, 1, 3, 4, 4, 4, 4, 3, 2, 0, 3, 2, 2, 1, 2, 3, 2, 4, 1, 4, 1, 3, 4, 2, 4, 0, 4, 2, 2, 2, 3, 0, 2, 0, 1, 3, 1, 3, 3, 2, 4, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 2, 1, 4, 1, 0, 4, 1, 0, 3, 1, 0, 0, 2, 3, 4, 2, 4, 2, 3, 2, 3, 4, 3, 3, 1, 1, 3, 0, 1, 1, 1, 3, 3, 4, 2, 3, 3, 4, 1, 3, 2, 2, 3, 1, 1, 3, 1, 1, 0, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 2, 4, 1, 2, 4, 1, 3, 4, 1, 3, 2, 2, 2, 1, 1, 1, 4, 3, 0, 4, 4, 1, 0, 1, 4, 0, 2, 4, 1, 4, 3, 2, 1, 0, 0, 0, 1, 0, 0, 4, 4, 0, 3, 3, 4, 0, 0, 3, 4, 2, 4, 0, 1, 4, 3, 1, 2, 4, 2, 2, 1, 4, 0, 4, 2] pubkeycol825 = [4, 3, 1, 3, 0, 1, 1, 2, 1, 0, 0, 4, 0, 0, 2, 4, 2, 4, 2, 0, 1, 1, 0, 3, 0, 0, 2, 1, 2, 2, 1, 4, 4, 2, 4, 2, 4, 2, 4, 0, 0, 4, 3, 2, 4, 2, 4, 2, 1, 4, 2, 3, 2, 1, 2, 1, 2, 1, 3, 1, 4, 0, 2, 2, 0, 1, 4, 1, 3, 2, 0, 2, 0, 4, 4, 3, 4, 2, 2, 4, 1, 1, 1, 4, 2, 2, 4, 0, 1, 3, 3, 3, 4, 3, 4, 2, 2, 3, 0, 3, 4, 2, 2, 2, 1, 0, 4, 1, 2, 3, 0, 4, 4, 0, 3, 0, 2, 2, 0, 4, 4, 2, 0, 4, 4, 2, 3, 4, 4, 4, 2, 0, 4, 3, 0, 0, 1, 3, 1, 2, 4, 0, 3, 1, 3, 1, 3, 2, 4, 2, 3, 4, 3, 2, 0, 0, 1, 0, 0, 1, 3, 3, 2, 2, 4, 1, 1, 4, 1, 1, 2, 4, 0, 3, 1, 1, 2, 3, 2, 3, 1, 3, 1, 4, 0, 0, 0, 2, 4, 2, 0, 3, 0, 3, 3, 1, 3, 0, 4, 4, 0, 3, 1, 0, 3, 3, 1, 0, 3, 1, 0, 2, 2, 3, 2, 4, 4, 1, 1, 0, 2, 1, 3, 3, 0, 2, 0, 0, 4, 0, 0, 4, 4, 4, 1, 0, 4, 2, 4, 4, 3, 2, 0, 2, 3, 0, 2, 2, 2, 0, 3, 2, 4, 1, 3, 3, 4, 3, 0, 3, 4, 2, 1, 0, 4, 4, 0, 0, 1, 2, 3, 0, 0, 4, 2, 3, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 4, 2, 4, 4, 1, 2, 0, 4, 3, 4, 3, 3, 0, 0, 3, 0, 1, 3, 4, 2, 1, 0, 1, 4, 0, 3, 2, 4, 4, 0, 4, 2, 1, 0] pubkeycol826 = [3, 0, 0, 0, 3, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 0, 1, 3, 4, 4, 0, 0, 3, 1, 1, 2, 0, 0, 4, 2, 3, 1, 0, 3, 0, 0, 0, 3, 1, 0, 3, 4, 2, 0, 4, 1, 4, 4, 3, 1, 4, 3, 3, 0, 3, 3, 4, 3, 0, 1, 4, 3, 1, 1, 1, 2, 0, 4, 2, 1, 4, 4, 3, 0, 0, 4, 3, 4, 4, 1, 1, 3, 1, 0, 2, 2, 4, 1, 2, 0, 1, 1, 0, 0, 2, 4, 4, 0, 3, 1, 1, 1, 4, 0, 2, 0, 1, 3, 4, 0, 2, 3, 1, 0, 0, 1, 0, 1, 3, 1, 1, 2, 1, 2, 1, 4, 3, 0, 2, 2, 4, 0, 3, 2, 1, 3, 2, 0, 1, 0, 4, 3, 0, 0, 3, 4, 1, 0, 0, 2, 4, 0, 1, 1, 4, 0, 4, 3, 0, 2, 1, 1, 2, 0, 1, 2, 4, 1, 3, 4, 3, 4, 1, 4, 1, 2, 0, 3, 3, 2, 1, 3, 1, 0, 0, 3, 1, 0, 3, 3, 3, 3, 3, 4, 4, 2, 4, 3, 3, 2, 3, 2, 2, 4, 0, 4, 0, 4, 3, 2, 0, 0, 0, 3, 0, 1, 1, 0, 4, 1, 3, 0, 4, 3, 0, 3, 4, 0, 3, 4, 1, 1, 3, 4, 3, 3, 1, 2, 2, 2, 2, 3, 4, 4, 1, 2, 3, 3, 3, 4, 4, 2, 3, 1, 3, 2, 1, 4, 0, 2, 4, 3, 2, 3, 3, 4, 1, 2, 1, 3, 4, 2, 3, 2, 0, 4, 2, 0, 1, 4, 4, 1, 1, 3, 2, 0, 0, 3, 1, 3, 0, 4, 1, 4, 2, 0, 2, 2, 1, 1, 3, 0, 1, 0, 1, 3, 4, 0, 1, 1, 3, 2, 1, 1, 1, 2, 0] pubkeycol827 = [1, 4, 0, 4, 3, 4, 3, 2, 3, 1, 2, 0, 4, 2, 2, 1, 2, 2, 4, 1, 4, 3, 1, 3, 2, 3, 1, 4, 1, 0, 4, 1, 2, 1, 3, 4, 3, 1, 4, 3, 0, 2, 4, 0, 0, 0, 0, 3, 1, 4, 2, 1, 0, 3, 3, 3, 0, 3, 0, 2, 1, 2, 2, 0, 3, 1, 4, 2, 4, 0, 1, 3, 4, 1, 2, 4, 2, 1, 4, 4, 2, 1, 1, 4, 3, 0, 0, 1, 3, 1, 2, 3, 1, 3, 3, 2, 0, 2, 4, 0, 4, 3, 4, 4, 1, 2, 0, 3, 0, 4, 0, 2, 2, 2, 3, 2, 3, 3, 3, 4, 1, 2, 4, 2, 4, 4, 4, 0, 3, 3, 3, 1, 3, 3, 1, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 0, 3, 4, 1, 1, 0, 3, 0, 2, 1, 0, 1, 0, 3, 3, 4, 2, 0, 3, 3, 1, 2, 2, 1, 2, 0, 0, 2, 0, 4, 0, 1, 1, 1, 0, 4, 2, 4, 2, 2, 4, 2, 1, 3, 1, 0, 3, 3, 2, 2, 1, 1, 4, 1, 4, 1, 3, 1, 1, 1, 4, 2, 1, 1, 0, 1, 2, 3, 3, 1, 1, 4, 2, 3, 3, 3, 4, 1, 2, 4, 0, 0, 2, 3, 3, 3, 0, 4, 2, 2, 0, 4, 1, 3, 4, 4, 3, 3, 3, 3, 0, 3, 2, 1, 1, 1, 2, 1, 0, 0, 4, 2, 3, 3, 0, 4, 3, 3, 3, 4, 0, 3, 4, 2, 1, 1, 4, 2, 3, 0, 4, 0, 3, 3, 0, 1, 4, 0, 1, 4, 4, 3, 1, 3, 0, 4, 2, 4, 2, 0, 1, 2, 2, 1, 1, 3, 3, 0, 3, 1, 0, 0, 2, 3, 3, 4, 3, 3, 1, 4, 3, 3, 1, 3, 2] pubkeycol828 = [4, 4, 0, 4, 0, 4, 1, 2, 0, 1, 1, 3, 2, 0, 0, 3, 4, 1, 4, 1, 2, 2, 0, 4, 4, 2, 0, 2, 1, 0, 0, 3, 3, 4, 2, 3, 0, 4, 3, 3, 0, 2, 0, 2, 0, 4, 4, 4, 4, 0, 3, 2, 4, 4, 3, 1, 2, 4, 2, 0, 2, 3, 1, 2, 3, 2, 0, 0, 3, 2, 3, 1, 0, 4, 3, 0, 1, 1, 0, 3, 4, 2, 4, 2, 4, 3, 1, 2, 4, 3, 1, 1, 3, 3, 4, 2, 2, 3, 3, 4, 1, 3, 4, 3, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 4, 2, 4, 0, 0, 4, 4, 3, 4, 0, 4, 0, 1, 3, 1, 1, 1, 4, 3, 1, 1, 2, 0, 3, 3, 4, 1, 1, 1, 4, 0, 1, 1, 3, 0, 2, 4, 1, 3, 1, 1, 1, 1, 2, 4, 2, 4, 4, 0, 2, 1, 0, 1, 0, 3, 2, 3, 4, 2, 1, 0, 4, 4, 1, 2, 4, 4, 4, 2, 0, 1, 1, 0, 0, 2, 0, 2, 3, 1, 0, 0, 1, 1, 3, 0, 1, 0, 0, 3, 1, 1, 4, 0, 0, 2, 3, 0, 3, 2, 4, 1, 2, 3, 4, 4, 4, 1, 4, 3, 2, 0, 0, 2, 1, 0, 1, 3, 2, 4, 1, 0, 3, 4, 1, 2, 3, 4, 1, 2, 4, 1, 3, 4, 3, 0, 3, 4, 4, 1, 2, 2, 2, 4, 3, 0, 1, 3, 0, 4, 4, 4, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 1, 3, 1, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 1, 0, 3, 4, 1, 2, 0, 1, 4, 0, 0, 3, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol829 = [0, 2, 1, 3, 0, 1, 0, 4, 4, 4, 2, 2, 3, 4, 2, 1, 2, 1, 2, 0, 2, 1, 4, 1, 1, 0, 3, 3, 1, 2, 2, 0, 4, 2, 4, 3, 1, 3, 0, 2, 4, 2, 1, 0, 3, 4, 2, 3, 2, 2, 3, 4, 4, 2, 0, 4, 4, 3, 0, 3, 4, 1, 2, 0, 0, 2, 1, 1, 0, 4, 0, 2, 4, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 4, 1, 0, 2, 2, 3, 1, 0, 3, 0, 2, 1, 3, 0, 2, 3, 2, 4, 2, 0, 0, 4, 1, 1, 2, 3, 0, 3, 0, 3, 1, 4, 4, 2, 1, 2, 3, 0, 2, 2, 4, 0, 1, 3, 2, 2, 1, 1, 3, 1, 1, 0, 0, 1, 4, 4, 3, 3, 0, 2, 0, 0, 4, 2, 1, 3, 2, 0, 1, 4, 2, 3, 4, 3, 3, 1, 4, 3, 2, 2, 3, 1, 4, 2, 4, 4, 4, 3, 4, 3, 1, 1, 0, 3, 3, 0, 1, 4, 0, 3, 1, 2, 4, 2, 0, 0, 0, 3, 0, 2, 3, 1, 3, 0, 1, 3, 0, 0, 0, 3, 1, 3, 4, 1, 3, 4, 0, 3, 4, 4, 2, 2, 4, 0, 3, 0, 3, 2, 4, 1, 0, 2, 1, 3, 3, 0, 4, 4, 0, 3, 4, 4, 0, 1, 2, 3, 4, 3, 3, 1, 2, 3, 1, 4, 2, 2, 4, 2, 4, 2, 2, 4, 4, 0, 4, 0, 1, 2, 0, 1, 3, 4, 2, 0, 4, 0, 1, 0, 1, 1, 1, 0, 3, 0, 0, 0, 2, 4, 3, 0, 0, 0, 2, 1, 3, 1, 4, 4, 3, 4, 4, 0, 3, 4, 3, 0, 2, 4, 1, 2, 1, 3, 1, 0, 0, 0, 3, 3, 3, 3, 1, 1, 4, 3, 3] pubkeycol830 = [0, 3, 0, 4, 0, 2, 2, 1, 4, 2, 0, 0, 4, 4, 4, 3, 0, 2, 0, 0, 3, 4, 4, 4, 2, 4, 0, 2, 2, 4, 2, 4, 3, 0, 3, 3, 2, 4, 1, 4, 0, 2, 0, 4, 1, 1, 4, 3, 4, 1, 0, 4, 4, 2, 3, 3, 2, 0, 4, 1, 1, 3, 0, 3, 2, 3, 4, 4, 1, 1, 4, 3, 1, 1, 3, 4, 0, 4, 4, 3, 0, 4, 2, 3, 2, 0, 0, 3, 4, 0, 0, 1, 4, 1, 0, 2, 3, 3, 3, 1, 4, 4, 4, 3, 0, 4, 0, 1, 2, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 1, 4, 4, 0, 3, 3, 1, 0, 4, 4, 3, 3, 2, 2, 0, 4, 2, 3, 0, 4, 3, 1, 4, 4, 1, 4, 1, 4, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 3, 4, 1, 2, 4, 1, 0, 3, 3, 0, 2, 4, 1, 3, 0, 1, 0, 3, 4, 2, 3, 3, 4, 0, 2, 1, 4, 0, 4, 3, 2, 0, 3, 3, 3, 2, 3, 4, 4, 0, 2, 2, 0, 2, 2, 2, 3, 3, 1, 1, 2, 4, 0, 3, 4, 2, 0, 3, 0, 0, 4, 2, 1, 0, 2, 4, 2, 0, 0, 4, 1, 2, 1, 1, 2, 0, 2, 0, 4, 1, 2, 0, 2, 4, 2, 1, 4, 1, 4, 1, 3, 2, 0, 2, 1, 3, 4, 0, 1, 2, 1, 3, 1, 2, 3, 1, 3, 4, 0, 0, 0, 1, 4, 2, 1, 4, 2, 4, 4, 2, 2, 0, 0, 4, 1, 2, 3, 4, 3, 2, 3, 1, 0, 3, 4, 2, 4, 2, 0, 3, 3, 3, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 3, 2, 4, 0, 3, 1, 4, 0, 0, 0, 0] pubkeycol831 = [3, 3, 0, 2, 3, 2, 4, 0, 0, 3, 4, 1, 2, 3, 2, 3, 1, 1, 1, 3, 4, 1, 3, 0, 3, 3, 0, 0, 1, 0, 2, 4, 0, 3, 1, 0, 3, 3, 2, 2, 0, 3, 4, 0, 4, 2, 3, 4, 4, 1, 2, 3, 3, 0, 0, 0, 4, 2, 2, 4, 3, 1, 0, 1, 4, 3, 3, 0, 0, 2, 2, 4, 4, 0, 1, 0, 0, 3, 3, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 4, 2, 4, 3, 2, 2, 2, 4, 0, 3, 4, 4, 3, 0, 1, 0, 3, 2, 0, 0, 1, 0, 1, 2, 2, 4, 3, 2, 0, 0, 3, 1, 4, 1, 3, 2, 0, 4, 3, 0, 4, 1, 4, 0, 0, 1, 3, 1, 3, 4, 0, 4, 1, 0, 4, 3, 2, 2, 4, 3, 3, 3, 3, 1, 0, 3, 4, 1, 1, 1, 4, 3, 2, 2, 4, 2, 4, 3, 1, 4, 3, 2, 4, 1, 0, 3, 0, 2, 3, 3, 4, 1, 3, 0, 1, 4, 0, 4, 1, 1, 1, 4, 0, 3, 3, 1, 2, 1, 0, 2, 1, 4, 4, 0, 3, 3, 0, 1, 2, 2, 2, 2, 4, 1, 2, 0, 0, 1, 1, 2, 3, 3, 4, 1, 3, 2, 3, 4, 4, 3, 2, 3, 2, 1, 4, 2, 1, 4, 1, 0, 2, 0, 0, 0, 2, 1, 4, 0, 2, 2, 2, 2, 0, 4, 0, 0, 3, 0, 4, 0, 1, 4, 4, 1, 1, 0, 3, 3, 4, 4, 1, 4, 2, 3, 3, 0, 2, 1, 4, 0, 4, 4, 3, 1, 4, 4, 2, 0, 1, 1, 0, 4, 4, 0, 4, 3, 4, 2, 4, 0, 4, 3, 3, 3, 4, 2, 4, 4, 3, 0, 4, 4, 1, 4, 4, 4, 1, 0, 4, 1, 3] pubkeycol832 = [1, 4, 0, 2, 4, 4, 1, 2, 0, 0, 0, 4, 3, 0, 3, 0, 3, 1, 4, 2, 0, 2, 4, 0, 4, 1, 2, 4, 0, 3, 2, 0, 3, 4, 3, 3, 3, 1, 2, 4, 3, 3, 3, 4, 2, 2, 3, 3, 3, 4, 2, 2, 0, 1, 3, 4, 3, 3, 4, 2, 1, 2, 1, 2, 1, 3, 3, 0, 1, 0, 2, 3, 2, 3, 4, 1, 1, 1, 0, 2, 4, 0, 1, 2, 1, 2, 2, 0, 4, 0, 3, 0, 2, 4, 0, 4, 3, 2, 0, 4, 1, 1, 2, 4, 0, 1, 4, 4, 2, 0, 2, 4, 4, 0, 3, 3, 4, 2, 1, 0, 3, 2, 1, 4, 2, 4, 0, 4, 1, 0, 2, 4, 2, 1, 3, 2, 4, 2, 1, 3, 2, 2, 2, 4, 1, 2, 1, 0, 4, 0, 0, 3, 4, 3, 4, 4, 4, 2, 3, 4, 2, 1, 0, 0, 1, 4, 1, 0, 2, 2, 4, 0, 1, 0, 4, 4, 2, 0, 1, 3, 2, 1, 0, 4, 4, 3, 0, 4, 1, 4, 2, 1, 3, 1, 0, 4, 2, 1, 2, 0, 4, 3, 3, 4, 4, 2, 3, 3, 1, 3, 2, 1, 0, 0, 0, 1, 0, 3, 1, 2, 2, 3, 2, 3, 3, 1, 3, 0, 0, 2, 3, 3, 3, 0, 0, 2, 1, 4, 3, 3, 3, 1, 3, 4, 3, 1, 0, 2, 4, 0, 0, 4, 2, 1, 0, 3, 2, 2, 1, 4, 1, 4, 1, 3, 0, 3, 4, 0, 1, 3, 0, 3, 0, 2, 0, 4, 1, 0, 4, 1, 1, 2, 3, 1, 0, 2, 4, 4, 0, 2, 4, 1, 4, 0, 3, 2, 4, 3, 1, 2, 1, 4, 3, 3, 1, 0, 0, 3, 0, 1, 2, 2, 4, 4, 3, 3, 4, 0, 2, 2] pubkeycol833 = [4, 3, 2, 3, 2, 1, 1, 3, 0, 4, 4, 3, 3, 3, 3, 3, 2, 1, 3, 3, 2, 3, 0, 0, 2, 4, 0, 3, 1, 0, 4, 1, 2, 2, 0, 4, 0, 2, 1, 1, 1, 1, 0, 2, 3, 3, 4, 2, 4, 4, 2, 1, 2, 4, 2, 2, 3, 1, 2, 3, 4, 1, 2, 2, 0, 3, 0, 4, 3, 0, 4, 1, 1, 3, 2, 0, 2, 4, 0, 3, 3, 0, 3, 4, 3, 4, 1, 3, 2, 4, 0, 3, 0, 0, 0, 2, 0, 1, 1, 4, 3, 2, 3, 4, 1, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 4, 3, 4, 3, 4, 0, 3, 0, 1, 1, 3, 4, 1, 3, 4, 0, 1, 1, 1, 4, 3, 2, 0, 1, 1, 2, 4, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 4, 2, 0, 0, 3, 0, 0, 4, 3, 2, 2, 1, 3, 3, 0, 4, 0, 4, 0, 0, 2, 3, 2, 3, 0, 3, 0, 2, 0, 2, 4, 0, 2, 0, 1, 4, 0, 2, 3, 4, 2, 3, 1, 2, 0, 4, 0, 0, 3, 0, 4, 1, 1, 4, 1, 0, 4, 1, 0, 3, 4, 1, 1, 4, 1, 4, 0, 0, 3, 2, 0, 4, 2, 4, 2, 3, 0, 4, 4, 4, 3, 2, 0, 2, 3, 2, 4, 2, 3, 2, 3, 1, 1, 2, 1, 3, 4, 3, 3, 4, 4, 3, 4, 1, 0, 4, 2, 4, 0, 4, 3, 0, 0, 0, 0, 3, 4, 4, 3, 2, 3, 3, 2, 0, 2, 0, 3, 0, 2, 0, 1, 1, 3, 1, 4, 2, 4, 1, 4, 2, 0, 3, 2, 3, 1, 1, 1, 2, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 4, 2, 2, 4, 1, 1, 0, 3, 2] pubkeycol834 = [3, 4, 1, 0, 3, 4, 3, 4, 0, 4, 4, 0, 3, 4, 2, 1, 3, 3, 1, 2, 4, 2, 1, 3, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 4, 1, 4, 4, 4, 4, 2, 0, 0, 0, 0, 3, 3, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 2, 4, 1, 3, 0, 0, 0, 2, 3, 4, 1, 0, 1, 1, 1, 1, 4, 4, 3, 1, 3, 1, 4, 4, 3, 2, 4, 1, 2, 2, 1, 3, 2, 2, 3, 1, 2, 3, 3, 1, 3, 0, 2, 1, 2, 2, 4, 1, 2, 3, 3, 3, 2, 4, 4, 4, 4, 4, 0, 4, 1, 3, 0, 2, 2, 0, 4, 2, 4, 0, 1, 2, 3, 4, 2, 0, 4, 1, 0, 0, 4, 1, 0, 0, 4, 3, 3, 4, 1, 4, 1, 4, 0, 2, 2, 2, 4, 0, 3, 1, 1, 3, 3, 0, 2, 4, 3, 4, 2, 0, 0, 0, 1, 1, 2, 4, 1, 2, 4, 2, 2, 4, 4, 3, 3, 0, 0, 2, 0, 4, 3, 3, 2, 4, 0, 3, 3, 4, 1, 3, 3, 1, 2, 3, 1, 2, 2, 4, 2, 2, 1, 4, 1, 1, 1, 2, 1, 3, 3, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 3, 4, 3, 3, 0, 0, 4, 3, 4, 2, 3, 1, 0, 1, 2, 1, 4, 0, 3, 2, 0, 3, 0, 1, 3, 2, 3, 3, 1, 1, 2, 0, 3, 2, 4, 0, 4, 2, 3, 4, 4, 1, 4, 3, 4, 4, 1, 2, 4, 0, 4, 1, 2, 2, 1, 3, 0, 0, 2, 4, 4, 4, 0, 3, 0, 4, 0, 2, 2, 1, 0, 1, 3, 3, 0, 2, 1, 0, 4, 2, 0, 0, 3, 3, 4, 2, 3, 1, 3, 2, 2, 3, 2, 0] pubkeycol835 = [0, 3, 3, 2, 4, 2, 2, 3, 3, 3, 3, 2, 1, 4, 4, 0, 0, 2, 2, 3, 3, 3, 3, 1, 0, 2, 3, 0, 1, 2, 0, 0, 2, 1, 3, 3, 4, 0, 4, 0, 4, 3, 1, 4, 3, 3, 3, 1, 3, 2, 1, 2, 1, 1, 3, 2, 0, 0, 4, 2, 1, 3, 2, 0, 4, 1, 4, 2, 1, 0, 4, 1, 3, 0, 0, 3, 0, 0, 2, 1, 3, 0, 2, 3, 4, 4, 0, 2, 4, 3, 3, 2, 4, 3, 3, 4, 3, 2, 0, 1, 4, 2, 1, 1, 4, 0, 3, 1, 4, 2, 2, 2, 1, 4, 4, 2, 4, 3, 2, 4, 3, 3, 3, 4, 3, 2, 4, 1, 0, 2, 3, 0, 4, 0, 0, 4, 0, 1, 1, 0, 4, 3, 1, 2, 3, 3, 3, 0, 0, 4, 1, 4, 3, 2, 3, 1, 3, 0, 3, 0, 0, 3, 4, 0, 2, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 3, 1, 0, 3, 3, 3, 3, 4, 1, 1, 0, 3, 1, 1, 3, 0, 2, 3, 1, 1, 0, 3, 0, 4, 4, 2, 3, 1, 1, 3, 0, 1, 0, 2, 3, 1, 3, 4, 4, 2, 2, 1, 2, 3, 1, 4, 2, 3, 0, 2, 4, 4, 3, 2, 4, 0, 0, 3, 1, 4, 4, 2, 4, 3, 4, 4, 2, 4, 4, 2, 3, 1, 0, 4, 1, 2, 1, 2, 3, 0, 3, 0, 3, 2, 3, 0, 1, 3, 2, 3, 0, 4, 1, 4, 1, 3, 3, 0, 4, 1, 3, 4, 4, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 4, 4, 2, 3, 1, 3, 0, 4, 0, 4, 4, 2, 2, 2, 3, 3, 4, 3, 4, 2, 2, 4, 3, 1, 3] pubkeycol836 = [0, 4, 3, 4, 2, 4, 1, 2, 1, 4, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 3, 3, 1, 0, 4, 3, 2, 4, 0, 1, 1, 3, 0, 3, 3, 2, 0, 0, 2, 3, 3, 0, 3, 2, 4, 4, 3, 1, 4, 1, 0, 0, 4, 2, 2, 4, 4, 2, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 2, 4, 4, 3, 3, 3, 2, 0, 1, 0, 2, 4, 2, 2, 3, 3, 4, 4, 4, 1, 1, 2, 3, 2, 3, 3, 3, 2, 2, 2, 4, 3, 2, 4, 4, 2, 1, 3, 0, 1, 1, 4, 3, 0, 4, 0, 3, 3, 0, 2, 4, 1, 3, 4, 4, 2, 1, 4, 3, 0, 4, 1, 1, 0, 2, 3, 3, 3, 4, 3, 1, 4, 0, 1, 4, 4, 2, 1, 3, 0, 4, 2, 0, 4, 3, 4, 2, 1, 1, 4, 4, 4, 2, 1, 2, 2, 4, 0, 2, 4, 4, 4, 0, 1, 0, 4, 0, 4, 3, 1, 4, 2, 1, 4, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 3, 1, 3, 4, 1, 0, 2, 0, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 1, 1, 0, 3, 1, 4, 3, 2, 4, 2, 0, 1, 4, 4, 1, 2, 2, 2, 2, 0, 0, 3, 0, 4, 1, 4, 3, 1, 1, 0, 2, 3, 0, 2, 2, 3, 1, 3, 1, 2, 4, 4, 0, 4, 2, 0, 2, 2, 4, 1, 3, 2, 2, 1, 3, 2, 4, 0, 3, 2, 4, 0, 0, 3, 1, 1, 1, 3, 4, 3, 2, 0, 0, 1, 3, 0, 3, 3, 4, 2, 2, 0, 1, 4, 2, 3, 3, 0, 3, 2, 2, 1, 4, 3, 1, 3, 2, 3, 4, 3, 4, 4, 3] pubkeycol837 = [1, 3, 1, 1, 1, 4, 4, 2, 1, 0, 2, 1, 1, 3, 1, 4, 2, 0, 3, 4, 3, 1, 3, 1, 4, 4, 1, 0, 4, 1, 2, 1, 4, 3, 4, 3, 4, 0, 4, 0, 3, 0, 2, 1, 3, 3, 4, 1, 1, 1, 3, 1, 3, 2, 4, 1, 1, 4, 3, 4, 0, 1, 2, 4, 1, 4, 1, 4, 4, 0, 1, 0, 1, 3, 0, 0, 2, 4, 4, 1, 0, 2, 1, 1, 0, 1, 3, 1, 4, 0, 3, 4, 1, 1, 4, 1, 0, 2, 3, 4, 1, 1, 0, 1, 2, 0, 2, 2, 3, 1, 4, 1, 2, 3, 0, 1, 2, 2, 0, 3, 4, 4, 0, 0, 1, 2, 3, 0, 1, 2, 2, 3, 3, 0, 4, 2, 0, 3, 3, 4, 4, 4, 3, 1, 4, 0, 2, 4, 3, 0, 4, 0, 1, 2, 3, 1, 0, 4, 2, 2, 4, 1, 2, 0, 0, 4, 4, 1, 3, 1, 4, 2, 4, 1, 1, 0, 3, 3, 4, 1, 4, 0, 2, 0, 1, 0, 4, 2, 1, 0, 4, 3, 4, 2, 1, 2, 1, 4, 3, 4, 1, 4, 0, 4, 1, 2, 2, 1, 4, 1, 3, 4, 0, 0, 2, 0, 0, 3, 0, 1, 3, 2, 3, 4, 1, 1, 1, 1, 3, 2, 3, 1, 0, 1, 1, 4, 3, 1, 2, 3, 2, 2, 1, 2, 4, 4, 3, 2, 2, 0, 2, 0, 0, 3, 4, 4, 4, 4, 0, 0, 0, 2, 1, 2, 0, 0, 1, 4, 1, 3, 0, 2, 1, 1, 2, 2, 2, 2, 3, 4, 3, 4, 1, 2, 3, 4, 4, 3, 4, 3, 4, 0, 0, 2, 1, 3, 4, 4, 3, 3, 3, 3, 2, 0, 1, 3, 0, 4, 0, 2, 1, 1, 2, 3, 2, 4, 3, 0, 3, 1] pubkeycol838 = [3, 1, 1, 0, 3, 0, 0, 0, 2, 1, 0, 0, 1, 0, 4, 2, 3, 4, 1, 2, 2, 3, 1, 1, 2, 0, 3, 3, 2, 4, 4, 4, 3, 2, 0, 1, 0, 0, 0, 1, 4, 2, 3, 3, 1, 3, 4, 4, 4, 4, 4, 1, 3, 0, 4, 0, 1, 0, 1, 4, 2, 3, 0, 3, 2, 2, 4, 0, 1, 1, 1, 3, 0, 1, 2, 4, 3, 1, 3, 2, 3, 2, 0, 3, 1, 0, 1, 2, 4, 2, 0, 3, 2, 1, 4, 3, 0, 1, 0, 3, 4, 2, 3, 0, 1, 1, 1, 0, 4, 0, 0, 2, 4, 4, 3, 3, 1, 0, 2, 0, 3, 1, 2, 3, 0, 1, 3, 3, 3, 2, 1, 4, 2, 2, 4, 1, 4, 4, 3, 4, 4, 4, 2, 4, 3, 0, 4, 0, 1, 4, 3, 2, 1, 2, 3, 0, 2, 2, 1, 4, 3, 1, 0, 1, 1, 0, 1, 2, 4, 3, 3, 2, 2, 0, 3, 1, 4, 3, 0, 0, 0, 0, 2, 4, 4, 0, 1, 3, 1, 4, 0, 2, 1, 4, 0, 2, 4, 2, 0, 1, 2, 2, 3, 4, 4, 2, 1, 0, 4, 3, 3, 2, 1, 4, 2, 0, 4, 4, 1, 3, 1, 1, 2, 0, 1, 3, 4, 2, 4, 1, 3, 1, 4, 0, 3, 3, 2, 2, 4, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 2, 2, 0, 2, 3, 4, 1, 4, 1, 1, 3, 4, 3, 2, 0, 0, 2, 4, 2, 1, 1, 1, 1, 0, 4, 3, 2, 3, 4, 2, 3, 2, 2, 3, 3, 0, 0, 3, 1, 0, 0, 4, 4, 3, 2, 3, 1, 1, 0, 1, 0, 4, 3, 4, 2, 1, 2, 4, 3, 0, 1, 0, 1, 4, 2, 0, 2, 4, 1] pubkeycol839 = [2, 2, 3, 3, 1, 1, 1, 2, 1, 4, 2, 4, 1, 0, 0, 0, 0, 3, 1, 2, 2, 3, 3, 0, 4, 4, 0, 2, 4, 4, 1, 0, 1, 0, 4, 4, 3, 1, 2, 0, 4, 2, 4, 4, 2, 4, 3, 0, 3, 3, 3, 1, 2, 4, 4, 0, 3, 1, 3, 3, 0, 4, 0, 1, 4, 1, 0, 1, 4, 4, 0, 4, 2, 0, 0, 3, 4, 1, 1, 3, 2, 0, 4, 2, 4, 1, 2, 4, 4, 1, 0, 4, 0, 0, 0, 3, 3, 3, 1, 1, 4, 2, 1, 0, 0, 1, 4, 1, 3, 1, 1, 4, 4, 1, 0, 4, 1, 2, 1, 0, 0, 3, 0, 2, 3, 2, 3, 3, 0, 0, 4, 3, 0, 1, 0, 3, 1, 4, 0, 2, 2, 4, 0, 4, 0, 3, 4, 0, 4, 1, 2, 4, 2, 1, 2, 0, 0, 2, 4, 1, 1, 1, 4, 0, 1, 2, 4, 4, 2, 4, 2, 0, 0, 2, 4, 0, 3, 0, 0, 0, 3, 3, 3, 1, 4, 4, 1, 2, 1, 3, 4, 4, 1, 4, 0, 4, 3, 4, 0, 4, 0, 1, 0, 3, 1, 1, 3, 0, 2, 2, 1, 0, 2, 2, 0, 1, 3, 1, 4, 2, 3, 0, 4, 2, 1, 1, 1, 4, 2, 0, 4, 4, 4, 3, 4, 2, 3, 1, 1, 0, 4, 1, 2, 3, 4, 1, 4, 2, 2, 2, 0, 1, 3, 4, 1, 1, 3, 2, 0, 3, 2, 4, 2, 0, 1, 2, 2, 1, 1, 4, 3, 4, 3, 2, 0, 1, 3, 4, 0, 2, 0, 4, 0, 1, 4, 4, 2, 4, 0, 0, 3, 4, 1, 0, 3, 2, 4, 3, 4, 2, 0, 3, 1, 0, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 0, 0, 1, 0, 0, 2] pubkeycol840 = [4, 0, 4, 2, 0, 1, 3, 2, 4, 3, 4, 4, 1, 4, 0, 0, 4, 0, 3, 3, 4, 4, 0, 1, 4, 1, 0, 4, 4, 0, 3, 1, 4, 3, 1, 2, 1, 4, 4, 0, 4, 0, 3, 3, 0, 4, 3, 2, 4, 4, 0, 0, 3, 4, 4, 4, 0, 3, 0, 0, 2, 3, 0, 0, 3, 4, 3, 2, 3, 0, 2, 2, 0, 4, 1, 3, 3, 4, 4, 3, 3, 0, 1, 3, 4, 0, 0, 1, 4, 1, 4, 2, 4, 1, 3, 4, 2, 1, 4, 2, 0, 0, 3, 2, 1, 3, 2, 0, 4, 0, 1, 1, 2, 3, 4, 3, 4, 3, 3, 3, 1, 4, 0, 2, 1, 1, 0, 0, 0, 4, 0, 3, 1, 3, 1, 3, 3, 0, 4, 3, 0, 4, 2, 1, 1, 4, 3, 3, 1, 3, 4, 0, 3, 2, 0, 1, 1, 0, 1, 0, 4, 4, 3, 3, 4, 0, 2, 4, 0, 3, 3, 2, 1, 4, 2, 3, 3, 4, 3, 2, 3, 0, 1, 4, 0, 3, 1, 0, 0, 4, 1, 1, 3, 2, 4, 3, 0, 1, 4, 2, 2, 0, 1, 3, 3, 1, 0, 3, 4, 0, 0, 1, 2, 4, 1, 1, 2, 2, 1, 2, 3, 1, 0, 2, 0, 2, 0, 4, 1, 3, 4, 3, 2, 1, 2, 1, 0, 2, 1, 4, 2, 1, 4, 4, 3, 1, 3, 0, 2, 0, 0, 1, 3, 0, 4, 2, 2, 2, 2, 4, 2, 2, 2, 3, 1, 4, 1, 2, 2, 4, 2, 0, 0, 0, 0, 1, 2, 4, 1, 0, 0, 0, 3, 4, 1, 0, 2, 2, 0, 4, 2, 1, 0, 1, 0, 0, 2, 4, 2, 3, 4, 1, 1, 1, 2, 1, 1, 2, 4, 0, 1, 2, 3, 2, 2, 4, 1, 2, 0, 3] pubkeycol841 = [2, 1, 3, 2, 4, 3, 4, 2, 2, 2, 2, 3, 3, 3, 2, 4, 1, 2, 4, 1, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 0, 4, 0, 0, 2, 0, 2, 4, 0, 0, 0, 2, 3, 1, 3, 4, 1, 3, 0, 0, 0, 4, 3, 0, 2, 0, 3, 2, 4, 0, 4, 3, 2, 3, 4, 2, 1, 1, 0, 2, 3, 0, 0, 4, 4, 4, 0, 2, 1, 3, 2, 3, 0, 3, 3, 2, 0, 1, 0, 3, 1, 1, 2, 4, 0, 2, 0, 4, 1, 2, 3, 4, 0, 4, 4, 4, 0, 3, 0, 1, 2, 2, 2, 1, 1, 1, 4, 1, 3, 4, 2, 2, 2, 2, 3, 3, 0, 1, 4, 0, 1, 0, 1, 1, 2, 3, 4, 2, 4, 1, 0, 2, 4, 2, 2, 4, 1, 0, 3, 4, 4, 4, 2, 0, 2, 3, 2, 2, 1, 2, 4, 0, 1, 1, 3, 2, 0, 2, 4, 1, 3, 2, 3, 2, 3, 0, 4, 1, 3, 0, 1, 3, 3, 1, 4, 4, 1, 4, 2, 2, 2, 4, 4, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 4, 0, 4, 2, 4, 0, 4, 0, 1, 0, 1, 2, 3, 0, 2, 4, 1, 0, 0, 0, 0, 1, 0, 4, 4, 3, 1, 1, 3, 2, 4, 4, 3, 2, 0, 4, 2, 0, 2, 2, 0, 3, 4, 4, 3, 0, 1, 1, 2, 1, 2, 1, 3, 0, 1, 1, 4, 0, 3, 0, 4, 4, 4, 1, 0, 0, 1, 2, 0, 1, 3, 3, 1, 4, 2, 4, 0, 2, 3, 2, 0, 1, 3, 3, 2, 4, 3, 2, 2, 4, 4, 2, 4, 3, 0, 2, 0, 2, 2, 4, 1, 1, 0, 0, 2, 4, 0, 2, 4, 3, 0, 0, 1, 2, 4] pubkeycol842 = [0, 3, 0, 2, 4, 4, 4, 4, 4, 1, 4, 1, 1, 0, 2, 2, 2, 0, 4, 4, 3, 1, 3, 3, 0, 0, 0, 2, 2, 1, 3, 1, 1, 0, 3, 2, 0, 3, 4, 2, 1, 0, 0, 3, 2, 2, 1, 3, 4, 3, 3, 4, 1, 1, 4, 3, 0, 4, 3, 2, 2, 0, 0, 4, 3, 1, 0, 2, 4, 2, 3, 0, 3, 1, 1, 0, 2, 1, 4, 3, 0, 1, 0, 1, 4, 4, 2, 4, 1, 4, 4, 3, 3, 0, 0, 2, 2, 4, 0, 1, 1, 3, 0, 4, 1, 1, 3, 3, 4, 0, 3, 1, 4, 4, 3, 2, 0, 1, 0, 1, 4, 0, 3, 4, 4, 0, 0, 4, 2, 4, 2, 3, 4, 1, 1, 2, 1, 1, 2, 2, 4, 4, 2, 4, 4, 4, 1, 0, 1, 2, 0, 3, 1, 0, 1, 2, 2, 4, 3, 0, 1, 2, 2, 1, 0, 1, 4, 2, 0, 2, 4, 0, 3, 0, 2, 3, 0, 2, 3, 2, 4, 1, 4, 1, 2, 3, 3, 2, 3, 1, 0, 2, 0, 0, 4, 1, 0, 3, 2, 3, 4, 1, 4, 1, 3, 1, 4, 2, 0, 4, 3, 0, 2, 4, 3, 1, 0, 2, 4, 3, 2, 4, 4, 4, 1, 3, 4, 3, 4, 2, 0, 2, 3, 0, 1, 4, 3, 2, 0, 4, 2, 0, 3, 3, 4, 2, 0, 1, 1, 4, 3, 0, 2, 1, 2, 1, 4, 1, 4, 2, 1, 4, 4, 4, 0, 0, 1, 4, 3, 0, 4, 4, 1, 3, 1, 2, 3, 0, 2, 3, 2, 1, 2, 0, 0, 0, 3, 3, 0, 4, 0, 1, 3, 0, 1, 2, 0, 1, 2, 1, 3, 2, 0, 0, 4, 2, 4, 3, 2, 4, 0, 4, 3, 1, 2, 4, 0, 3, 3, 3] pubkeycol843 = [3, 0, 3, 1, 0, 4, 4, 0, 4, 1, 0, 4, 0, 4, 2, 3, 0, 1, 1, 0, 4, 2, 1, 3, 1, 0, 4, 2, 3, 4, 2, 1, 1, 1, 0, 0, 2, 0, 2, 3, 0, 0, 1, 0, 0, 1, 2, 3, 2, 1, 1, 1, 0, 3, 0, 0, 0, 0, 3, 4, 2, 3, 2, 1, 0, 0, 1, 3, 1, 3, 0, 2, 0, 0, 4, 2, 4, 2, 4, 2, 0, 0, 1, 2, 3, 4, 0, 2, 2, 4, 1, 2, 3, 0, 4, 1, 4, 2, 2, 4, 3, 4, 0, 1, 1, 4, 2, 4, 0, 2, 4, 1, 2, 3, 0, 0, 4, 2, 1, 2, 0, 0, 3, 2, 3, 1, 3, 3, 4, 3, 3, 4, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 4, 4, 0, 4, 2, 1, 4, 1, 3, 3, 2, 2, 1, 1, 2, 2, 0, 3, 2, 0, 4, 2, 3, 4, 3, 3, 2, 0, 1, 4, 1, 0, 4, 3, 3, 1, 3, 0, 0, 1, 0, 0, 4, 0, 0, 3, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 3, 1, 3, 1, 2, 4, 2, 3, 4, 3, 2, 0, 2, 0, 2, 2, 1, 0, 0, 3, 2, 2, 2, 0, 0, 0, 2, 0, 0, 3, 3, 3, 4, 4, 2, 3, 4, 2, 3, 2, 0, 3, 2, 2, 1, 4, 3, 4, 2, 0, 2, 1, 0, 1, 4, 3, 3, 2, 1, 1, 4, 4, 0, 2, 3, 3, 0, 3, 3, 1, 1, 3, 1, 0, 4, 3, 0, 3, 1, 1, 1, 2, 3, 3, 4, 2, 4, 2, 3, 0, 0, 4, 4, 4, 1, 2, 2, 0, 1, 4, 1, 2, 2, 3, 2, 3, 4, 4, 3, 1, 1, 1, 3, 2, 4, 3, 4, 1, 4] pubkeycol844 = [4, 1, 3, 3, 0, 1, 1, 0, 4, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 4, 3, 2, 0, 3, 1, 3, 3, 4, 0, 4, 3, 4, 0, 1, 2, 3, 3, 1, 3, 0, 2, 3, 4, 1, 0, 4, 1, 0, 4, 2, 3, 2, 2, 3, 1, 0, 4, 3, 0, 1, 3, 2, 3, 2, 4, 3, 0, 1, 2, 1, 4, 3, 0, 4, 3, 4, 0, 3, 2, 0, 0, 4, 2, 4, 1, 0, 1, 1, 2, 2, 4, 2, 0, 4, 3, 2, 2, 1, 1, 0, 3, 3, 0, 2, 1, 4, 0, 1, 3, 1, 3, 3, 0, 1, 2, 0, 4, 1, 1, 3, 3, 2, 0, 0, 0, 0, 4, 0, 3, 1, 1, 1, 0, 0, 1, 4, 0, 1, 4, 3, 0, 2, 0, 1, 1, 3, 3, 0, 3, 0, 1, 1, 2, 2, 1, 2, 4, 4, 2, 0, 1, 2, 0, 1, 4, 4, 1, 3, 4, 1, 0, 3, 3, 0, 2, 1, 4, 4, 0, 1, 2, 4, 1, 3, 2, 2, 0, 2, 2, 0, 3, 0, 2, 4, 3, 4, 1, 1, 1, 1, 4, 2, 1, 3, 1, 0, 3, 2, 2, 0, 3, 2, 4, 1, 1, 0, 4, 4, 4, 0, 3, 3, 2, 4, 4, 0, 1, 0, 0, 3, 1, 2, 3, 4, 3, 2, 3, 2, 2, 2, 0, 2, 3, 2, 4, 1, 1, 0, 4, 3, 3, 0, 3, 2, 0, 4, 0, 0, 3, 1, 4, 2, 3, 2, 1, 4, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 4, 3, 3, 4, 0, 3, 0, 1, 1, 2, 2, 3, 3, 3, 4, 1, 3, 3, 1, 2, 0, 0, 4, 3, 0, 0, 1, 0, 0, 0, 2, 3, 4, 2, 2, 3, 4, 4] pubkeycol845 = [2, 3, 0, 1, 2, 1, 0, 1, 3, 0, 1, 1, 2, 0, 4, 4, 3, 4, 4, 2, 2, 0, 1, 1, 4, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 4, 0, 3, 3, 3, 2, 1, 0, 1, 0, 1, 1, 1, 2, 4, 4, 1, 2, 2, 4, 4, 3, 4, 4, 1, 1, 0, 4, 0, 1, 3, 3, 2, 4, 1, 3, 0, 1, 3, 3, 0, 2, 0, 3, 4, 2, 0, 3, 3, 0, 0, 1, 1, 1, 0, 2, 1, 0, 3, 4, 4, 2, 0, 3, 2, 1, 1, 1, 3, 4, 4, 0, 0, 0, 1, 1, 1, 4, 3, 4, 2, 1, 4, 4, 2, 2, 0, 1, 0, 1, 0, 1, 0, 4, 1, 0, 4, 0, 2, 1, 1, 3, 2, 3, 0, 0, 4, 2, 0, 2, 4, 4, 4, 3, 4, 2, 0, 3, 4, 0, 3, 2, 4, 1, 3, 4, 1, 2, 4, 2, 4, 1, 4, 3, 3, 0, 1, 2, 2, 1, 2, 3, 2, 4, 4, 2, 0, 4, 1, 2, 3, 1, 4, 4, 0, 2, 0, 4, 2, 0, 0, 3, 3, 0, 4, 0, 0, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 3, 2, 1, 3, 2, 3, 3, 0, 0, 0, 4, 3, 2, 1, 4, 4, 0, 0, 2, 3, 4, 4, 2, 1, 2, 4, 2, 3, 4, 2, 2, 0, 4, 4, 2, 0, 2, 1, 0, 0, 2, 4, 4, 2, 2, 3, 4, 4, 2, 3, 3, 1, 0, 1, 4, 4, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 4, 1, 3, 1, 3, 3, 3, 4, 4, 3, 3, 4, 2, 4, 1, 0, 4, 3, 0, 1, 1, 4, 0, 2, 2, 3, 1, 1, 2, 4, 1, 2, 4, 2, 1, 3, 0] pubkeycol846 = [2, 4, 2, 3, 1, 2, 3, 2, 1, 2, 3, 0, 1, 1, 3, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 3, 3, 2, 4, 0, 2, 3, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 4, 2, 4, 2, 2, 1, 2, 0, 4, 3, 2, 3, 0, 1, 4, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 0, 3, 4, 0, 3, 0, 4, 2, 1, 0, 0, 0, 1, 1, 3, 4, 1, 4, 4, 0, 2, 3, 0, 3, 2, 3, 4, 2, 0, 3, 4, 1, 4, 0, 0, 4, 4, 0, 3, 1, 4, 0, 2, 4, 2, 3, 0, 4, 3, 2, 2, 4, 4, 1, 4, 2, 4, 1, 1, 0, 4, 0, 0, 0, 2, 2, 3, 4, 2, 0, 0, 3, 0, 2, 4, 3, 4, 4, 4, 2, 4, 3, 4, 0, 4, 0, 0, 2, 0, 1, 0, 1, 2, 3, 3, 4, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 2, 1, 2, 4, 3, 2, 2, 0, 1, 4, 0, 0, 2, 2, 2, 1, 0, 4, 2, 3, 0, 3, 0, 3, 2, 2, 3, 4, 0, 0, 4, 3, 3, 3, 4, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 3, 2, 3, 1, 2, 3, 2, 2, 4, 3, 3, 1, 1, 4, 1, 1, 2, 0, 2, 0, 3, 1, 1, 2, 0, 0, 0, 2, 4, 3, 2, 2, 4, 2, 2, 4, 2, 3, 4, 4, 1, 1, 1, 4, 4, 0, 3, 3, 1, 1, 1, 4, 4, 0, 0, 1, 0, 4, 4, 0, 0, 3, 0, 1, 1, 1, 0, 4, 0, 4, 0, 2, 3, 4, 1, 0, 4, 1, 2, 3, 2, 3, 3, 4, 0, 0, 3] pubkeycol847 = [3, 4, 3, 2, 1, 0, 2, 1, 1, 0, 0, 3, 0, 3, 4, 4, 1, 4, 2, 1, 1, 4, 1, 2, 2, 3, 2, 0, 2, 4, 2, 1, 2, 1, 3, 0, 3, 1, 3, 4, 3, 4, 0, 4, 4, 1, 4, 4, 4, 1, 2, 1, 4, 0, 3, 3, 0, 4, 2, 1, 3, 1, 3, 1, 4, 4, 3, 0, 1, 0, 2, 2, 4, 1, 2, 2, 3, 1, 3, 1, 1, 4, 2, 2, 4, 2, 0, 0, 1, 1, 2, 1, 2, 0, 4, 4, 2, 4, 0, 3, 3, 0, 2, 2, 4, 0, 0, 3, 4, 4, 4, 4, 3, 1, 0, 3, 3, 3, 1, 3, 4, 3, 2, 2, 3, 3, 3, 2, 4, 0, 2, 0, 1, 3, 3, 1, 4, 1, 1, 1, 2, 1, 3, 1, 0, 1, 4, 4, 2, 2, 1, 4, 0, 2, 3, 4, 1, 0, 0, 4, 1, 4, 0, 4, 4, 3, 4, 2, 3, 4, 0, 0, 4, 0, 2, 4, 1, 0, 2, 4, 0, 1, 4, 2, 0, 2, 1, 4, 1, 1, 3, 1, 0, 4, 4, 2, 4, 1, 4, 1, 3, 3, 0, 2, 0, 3, 4, 3, 4, 2, 4, 2, 0, 0, 3, 4, 1, 1, 2, 2, 1, 2, 0, 3, 4, 2, 0, 3, 0, 4, 2, 0, 2, 1, 4, 4, 0, 3, 0, 2, 2, 3, 4, 0, 4, 4, 3, 4, 0, 3, 3, 3, 0, 3, 1, 0, 1, 2, 1, 2, 1, 1, 2, 4, 2, 1, 4, 1, 0, 4, 0, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 2, 1, 1, 2, 1, 0, 3, 4, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 1, 0, 4, 3, 1, 0, 2, 1, 2, 2, 1, 1, 4, 0, 0, 2, 4, 4, 3, 4] pubkeycol848 = [2, 4, 0, 2, 4, 1, 3, 1, 2, 2, 1, 0, 3, 1, 4, 4, 3, 1, 2, 1, 3, 2, 2, 2, 3, 0, 0, 4, 3, 0, 2, 0, 3, 3, 1, 1, 2, 1, 4, 0, 2, 4, 3, 1, 0, 3, 3, 3, 3, 1, 1, 4, 3, 2, 1, 1, 0, 4, 2, 2, 3, 1, 1, 0, 3, 2, 3, 0, 2, 3, 3, 1, 4, 2, 4, 3, 4, 0, 1, 0, 1, 2, 2, 1, 3, 4, 1, 3, 1, 0, 0, 1, 4, 3, 3, 3, 4, 1, 0, 3, 4, 0, 3, 4, 2, 0, 0, 1, 1, 3, 4, 1, 4, 2, 3, 3, 2, 3, 0, 3, 4, 1, 3, 0, 2, 3, 3, 1, 4, 1, 4, 1, 1, 2, 0, 0, 3, 1, 3, 3, 4, 2, 1, 0, 1, 4, 2, 4, 1, 1, 4, 3, 3, 2, 3, 3, 4, 3, 4, 2, 0, 0, 3, 3, 2, 4, 4, 0, 3, 2, 3, 2, 3, 1, 1, 2, 0, 4, 0, 2, 3, 2, 3, 0, 2, 3, 2, 4, 1, 1, 2, 4, 2, 1, 3, 2, 3, 1, 0, 0, 1, 2, 0, 0, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 2, 0, 3, 1, 4, 0, 2, 0, 4, 4, 0, 4, 0, 1, 0, 1, 3, 0, 4, 4, 2, 0, 3, 3, 3, 3, 2, 3, 1, 2, 3, 1, 1, 4, 2, 1, 0, 1, 0, 2, 1, 3, 2, 0, 3, 2, 1, 0, 0, 1, 3, 0, 4, 2, 3, 4, 0, 2, 3, 2, 2, 2, 4, 3, 4, 0, 4, 4, 0, 0, 1, 3, 1, 2, 4, 3, 0, 0, 1, 2, 4, 1, 2, 4, 1, 3, 2, 1, 1, 2, 4, 2, 2, 2, 2, 0, 2, 2, 3, 3, 1, 2, 4, 1, 3, 4] pubkeycol849 = [0, 4, 0, 1, 0, 0, 1, 1, 1, 4, 3, 4, 3, 3, 0, 1, 4, 1, 2, 0, 1, 0, 0, 2, 4, 0, 4, 1, 1, 1, 1, 4, 2, 1, 4, 1, 3, 1, 2, 3, 1, 1, 2, 3, 0, 0, 1, 4, 1, 1, 2, 4, 1, 0, 1, 3, 3, 4, 1, 2, 3, 4, 4, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 4, 4, 3, 3, 3, 2, 1, 2, 3, 4, 2, 2, 0, 3, 3, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 4, 2, 4, 4, 0, 4, 3, 0, 0, 1, 2, 2, 3, 0, 0, 0, 2, 4, 0, 2, 1, 1, 1, 2, 4, 4, 2, 4, 1, 3, 4, 0, 0, 4, 4, 1, 3, 0, 3, 3, 0, 4, 0, 1, 4, 3, 2, 2, 2, 2, 4, 4, 2, 0, 1, 0, 3, 0, 3, 0, 2, 0, 0, 3, 2, 1, 0, 0, 1, 3, 3, 1, 3, 2, 2, 4, 4, 0, 3, 3, 4, 3, 3, 2, 1, 1, 1, 3, 1, 0, 0, 3, 3, 1, 0, 3, 2, 0, 4, 2, 3, 4, 3, 3, 0, 1, 4, 2, 0, 3, 2, 0, 1, 2, 3, 1, 2, 0, 3, 1, 0, 3, 4, 4, 0, 0, 3, 1, 0, 1, 0, 2, 3, 1, 1, 0, 0, 2, 2, 3, 3, 0, 2, 3, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 4, 0, 4, 2, 2, 4, 4, 1, 0, 4, 3, 4, 3, 3, 0, 0, 3, 4, 2, 0, 1, 2, 3, 3, 1, 0, 0, 4, 3, 3, 1, 4, 1, 1, 2, 0, 0, 3, 2, 2, 4, 4, 3, 2, 1, 2, 2, 3, 0, 0, 2, 4, 3, 4, 0, 1, 0, 3, 3, 2, 1, 2, 4, 3, 0, 1] pubkeycol850 = [1, 1, 2, 2, 4, 2, 0, 0, 4, 3, 3, 3, 2, 0, 4, 1, 3, 1, 3, 2, 3, 2, 4, 4, 2, 1, 4, 1, 3, 1, 0, 4, 1, 2, 4, 4, 0, 3, 2, 2, 1, 1, 4, 1, 3, 2, 0, 1, 1, 0, 2, 3, 4, 2, 3, 1, 2, 2, 4, 1, 4, 0, 2, 4, 1, 4, 1, 2, 3, 1, 1, 3, 0, 3, 2, 4, 3, 1, 4, 2, 1, 0, 1, 3, 0, 0, 0, 0, 1, 0, 3, 4, 2, 3, 1, 4, 0, 1, 4, 1, 1, 4, 2, 2, 4, 4, 4, 4, 1, 0, 2, 4, 3, 2, 0, 1, 0, 1, 4, 0, 4, 0, 2, 0, 1, 1, 4, 4, 4, 0, 0, 4, 0, 2, 0, 2, 3, 4, 4, 2, 2, 1, 2, 4, 3, 3, 0, 0, 2, 1, 3, 3, 3, 3, 4, 0, 2, 2, 0, 3, 1, 4, 1, 4, 3, 1, 3, 1, 0, 1, 3, 4, 4, 2, 0, 3, 3, 0, 3, 3, 3, 2, 0, 3, 0, 1, 1, 1, 1, 4, 3, 1, 2, 1, 1, 3, 0, 1, 3, 1, 3, 1, 4, 2, 4, 0, 0, 1, 1, 4, 2, 1, 2, 2, 1, 4, 2, 1, 0, 1, 0, 2, 3, 1, 4, 3, 2, 4, 1, 0, 1, 4, 2, 1, 1, 3, 4, 4, 1, 0, 4, 1, 3, 3, 0, 1, 4, 3, 2, 0, 1, 4, 2, 4, 1, 0, 4, 0, 0, 2, 2, 1, 3, 0, 2, 4, 0, 1, 1, 3, 0, 1, 1, 4, 1, 3, 3, 1, 4, 3, 0, 1, 1, 4, 0, 3, 4, 4, 2, 2, 2, 4, 1, 4, 1, 4, 2, 0, 1, 4, 3, 2, 2, 0, 3, 3, 2, 3, 4, 2, 3, 4, 2, 4, 0, 3, 3, 4, 1, 1] pubkeycol851 = [3, 4, 3, 4, 2, 4, 2, 2, 4, 0, 0, 2, 0, 0, 3, 3, 1, 1, 4, 3, 0, 0, 1, 1, 2, 1, 0, 0, 4, 2, 1, 0, 3, 1, 4, 2, 2, 0, 2, 2, 2, 3, 2, 3, 2, 3, 4, 4, 2, 0, 4, 4, 4, 2, 3, 0, 1, 0, 0, 4, 4, 0, 4, 4, 3, 2, 3, 3, 0, 1, 1, 3, 3, 1, 3, 0, 2, 0, 2, 0, 3, 1, 3, 1, 3, 0, 3, 0, 3, 4, 2, 3, 0, 3, 4, 4, 0, 2, 4, 1, 0, 2, 2, 0, 0, 2, 3, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 3, 0, 3, 0, 4, 3, 4, 0, 2, 3, 0, 3, 2, 4, 0, 3, 2, 0, 2, 4, 0, 1, 0, 4, 1, 4, 0, 4, 4, 1, 1, 3, 4, 0, 0, 1, 4, 0, 3, 0, 1, 4, 0, 2, 0, 3, 3, 4, 3, 2, 2, 1, 0, 2, 2, 0, 2, 1, 3, 3, 3, 3, 3, 4, 4, 0, 2, 3, 2, 1, 1, 0, 2, 1, 3, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 4, 3, 2, 1, 0, 2, 4, 3, 4, 2, 4, 2, 3, 1, 4, 3, 4, 0, 1, 4, 1, 0, 1, 3, 1, 2, 0, 1, 3, 2, 3, 2, 0, 0, 4, 2, 4, 4, 4, 0, 4, 3, 4, 0, 4, 0, 0, 0, 4, 1, 0, 1, 3, 0, 1, 4, 3, 2, 0, 3, 0, 0, 4, 2, 1, 2, 4, 0, 0, 2, 0, 1, 4, 3, 2, 3, 3, 3, 2, 3, 1, 1, 4, 4, 0, 2, 1, 0, 4, 0, 0, 3, 2, 3, 0, 3, 2, 4, 0, 3, 2, 4, 0, 3, 4, 4, 1, 2, 3, 4, 1, 0, 0, 0] pubkeycol852 = [4, 4, 4, 3, 0, 3, 2, 1, 4, 0, 1, 0, 3, 3, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 4, 4, 1, 4, 2, 2, 3, 0, 1, 0, 3, 1, 3, 3, 1, 3, 1, 4, 4, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 4, 2, 3, 4, 0, 4, 3, 2, 4, 1, 1, 3, 2, 0, 0, 0, 0, 0, 3, 0, 2, 1, 4, 3, 2, 0, 2, 0, 4, 2, 1, 1, 1, 3, 1, 1, 2, 2, 1, 2, 0, 3, 2, 1, 2, 3, 0, 1, 1, 0, 3, 2, 1, 4, 3, 4, 4, 4, 1, 3, 4, 3, 1, 4, 4, 0, 2, 2, 4, 3, 4, 2, 1, 4, 0, 3, 4, 1, 3, 3, 0, 1, 4, 3, 0, 4, 0, 4, 2, 2, 4, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 1, 0, 1, 1, 0, 1, 3, 3, 3, 0, 4, 1, 3, 2, 4, 2, 0, 2, 3, 4, 1, 3, 4, 2, 2, 1, 1, 0, 4, 3, 1, 1, 2, 4, 2, 3, 2, 4, 1, 0, 4, 3, 3, 1, 3, 1, 4, 4, 4, 0, 1, 1, 1, 3, 1, 3, 3, 0, 0, 4, 2, 3, 2, 1, 0, 0, 3, 1, 1, 2, 2, 4, 2, 4, 2, 1, 3, 1, 4, 1, 2, 4, 2, 2, 1, 1, 3, 2, 3, 0, 1, 4, 2, 2, 1, 2, 4, 4, 4, 4, 1, 4, 0, 2, 4, 0, 1, 0, 1, 4, 0, 1, 1, 0, 1, 0, 1, 3, 3, 1, 2, 1, 1, 3, 2, 4, 2, 3, 4, 0, 2, 3, 4, 2, 0, 2, 2, 0, 3, 2, 2, 0, 3, 1, 2, 1, 0, 0, 4, 1, 4, 1, 3, 1, 4, 0, 4, 0, 0, 0, 4, 0, 2, 0] pubkeycol853 = [4, 3, 3, 2, 0, 2, 0, 3, 3, 2, 0, 1, 3, 4, 3, 3, 0, 2, 3, 1, 0, 3, 1, 2, 0, 0, 4, 4, 0, 3, 4, 2, 3, 3, 0, 3, 3, 3, 0, 4, 0, 2, 0, 3, 3, 4, 0, 4, 3, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 3, 3, 1, 4, 0, 0, 0, 0, 0, 0, 3, 4, 0, 2, 4, 1, 3, 4, 3, 0, 2, 2, 2, 0, 1, 4, 3, 2, 1, 3, 0, 4, 2, 3, 1, 3, 2, 0, 0, 0, 4, 4, 3, 4, 2, 1, 2, 4, 2, 0, 2, 0, 1, 0, 4, 2, 3, 2, 4, 2, 3, 0, 4, 2, 0, 0, 0, 0, 2, 2, 4, 3, 4, 1, 3, 3, 2, 2, 3, 1, 4, 4, 1, 4, 1, 3, 1, 4, 2, 1, 4, 2, 2, 1, 3, 4, 4, 1, 4, 4, 3, 2, 2, 3, 2, 4, 0, 3, 3, 1, 4, 3, 2, 0, 1, 1, 3, 3, 3, 0, 1, 2, 1, 1, 0, 4, 2, 1, 1, 3, 0, 1, 2, 0, 1, 0, 4, 4, 1, 2, 0, 0, 2, 4, 3, 2, 4, 4, 1, 3, 2, 3, 1, 2, 4, 4, 0, 3, 4, 0, 2, 3, 0, 2, 3, 3, 2, 1, 4, 4, 3, 2, 0, 4, 0, 2, 2, 0, 2, 4, 4, 2, 2, 4, 3, 1, 3, 1, 0, 0, 1, 4, 1, 4, 1, 1, 0, 4, 4, 2, 4, 4, 3, 2, 2, 0, 2, 1, 1, 0, 0, 4, 2, 4, 4, 3, 4, 2, 3, 2, 4, 4, 0, 2, 1, 0, 4, 0, 1, 0, 0, 1, 2, 0, 0, 4, 2, 2, 3, 1, 4, 0, 4, 0, 2, 1, 0, 2, 2, 1, 4, 2, 1, 0, 0, 1, 4] pubkeycol854 = [4, 3, 4, 1, 1, 1, 3, 2, 1, 0, 0, 0, 3, 2, 3, 3, 2, 4, 0, 1, 3, 0, 2, 2, 4, 4, 0, 3, 3, 2, 1, 3, 3, 1, 3, 3, 0, 4, 0, 0, 1, 2, 3, 3, 2, 4, 4, 2, 4, 3, 4, 0, 0, 3, 3, 2, 4, 2, 0, 3, 4, 4, 4, 1, 0, 0, 2, 1, 3, 3, 1, 2, 2, 1, 1, 3, 0, 4, 2, 3, 2, 1, 4, 4, 2, 1, 1, 3, 2, 4, 3, 4, 2, 1, 1, 4, 4, 2, 3, 1, 0, 2, 0, 3, 3, 1, 2, 3, 3, 4, 2, 4, 1, 4, 1, 4, 1, 3, 4, 1, 0, 2, 0, 2, 1, 0, 3, 4, 2, 2, 1, 3, 0, 1, 2, 4, 0, 3, 3, 3, 4, 4, 1, 0, 4, 2, 3, 0, 2, 0, 1, 0, 2, 4, 0, 2, 3, 2, 2, 3, 1, 2, 0, 1, 2, 1, 2, 3, 3, 3, 1, 0, 3, 1, 4, 3, 2, 2, 1, 2, 0, 3, 3, 0, 2, 2, 4, 1, 4, 4, 4, 2, 0, 0, 4, 0, 1, 3, 2, 4, 2, 4, 2, 2, 0, 4, 0, 2, 1, 3, 1, 4, 0, 4, 0, 4, 1, 4, 2, 0, 2, 0, 0, 4, 3, 4, 0, 1, 4, 2, 3, 3, 4, 3, 3, 4, 3, 3, 0, 1, 4, 4, 0, 3, 0, 4, 0, 2, 1, 1, 4, 0, 0, 4, 0, 3, 2, 4, 2, 1, 3, 3, 3, 3, 2, 3, 4, 0, 2, 1, 3, 2, 4, 0, 4, 0, 2, 1, 4, 3, 0, 0, 4, 1, 1, 3, 4, 0, 3, 1, 3, 3, 2, 3, 2, 0, 2, 4, 1, 1, 4, 1, 3, 4, 0, 3, 3, 1, 1, 0, 3, 2, 0, 1, 1, 3, 2, 0, 4, 2] pubkeycol855 = [3, 4, 3, 2, 1, 4, 4, 4, 1, 4, 1, 4, 4, 2, 2, 4, 1, 1, 1, 1, 0, 1, 2, 0, 4, 4, 2, 0, 2, 3, 0, 3, 0, 4, 2, 4, 0, 4, 2, 3, 3, 1, 3, 3, 0, 3, 1, 1, 0, 2, 1, 4, 4, 0, 2, 1, 4, 0, 2, 4, 0, 0, 2, 3, 4, 1, 0, 3, 3, 3, 1, 4, 3, 1, 2, 2, 0, 0, 1, 3, 0, 2, 4, 2, 4, 3, 3, 1, 0, 1, 2, 4, 4, 0, 1, 0, 3, 4, 3, 0, 0, 4, 0, 2, 3, 2, 1, 2, 4, 1, 2, 4, 3, 4, 3, 4, 2, 0, 2, 4, 0, 4, 0, 3, 3, 2, 4, 2, 4, 0, 3, 3, 1, 0, 3, 4, 2, 3, 1, 3, 0, 0, 3, 3, 1, 1, 4, 4, 2, 3, 4, 2, 4, 1, 1, 2, 0, 1, 0, 3, 3, 0, 4, 3, 2, 0, 1, 1, 4, 2, 3, 0, 2, 0, 2, 3, 4, 2, 1, 2, 0, 4, 1, 3, 3, 2, 4, 1, 1, 0, 3, 2, 3, 0, 4, 3, 2, 0, 4, 4, 4, 0, 1, 4, 1, 3, 1, 4, 3, 2, 0, 0, 1, 0, 0, 1, 3, 4, 0, 2, 0, 4, 3, 2, 1, 1, 4, 4, 4, 1, 4, 1, 2, 0, 4, 1, 1, 1, 3, 0, 0, 4, 1, 2, 4, 2, 4, 4, 3, 3, 2, 3, 1, 4, 0, 4, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 4, 1, 3, 0, 4, 2, 4, 4, 4, 3, 3, 3, 4, 4, 1, 1, 0, 3, 0, 4, 4, 1, 4, 3, 1, 2, 4, 3, 2, 0, 2, 2, 1, 4, 1, 0, 0, 3, 0, 1, 0, 4, 4, 1, 3, 2, 1, 3, 2, 0] pubkeycol856 = [3, 2, 4, 1, 0, 0, 1, 3, 3, 4, 2, 3, 0, 1, 2, 1, 1, 4, 2, 2, 4, 0, 0, 1, 4, 4, 4, 1, 3, 4, 1, 4, 3, 1, 1, 0, 4, 4, 4, 2, 4, 2, 1, 4, 2, 2, 4, 0, 3, 1, 4, 0, 4, 4, 3, 3, 1, 4, 4, 2, 4, 1, 4, 4, 2, 1, 4, 0, 2, 2, 0, 4, 1, 3, 4, 4, 0, 3, 4, 0, 2, 2, 1, 2, 2, 4, 3, 1, 2, 3, 1, 0, 2, 2, 3, 1, 3, 1, 1, 4, 2, 4, 1, 3, 4, 1, 1, 2, 2, 2, 0, 0, 1, 4, 3, 2, 3, 4, 4, 0, 2, 2, 3, 0, 4, 1, 1, 3, 0, 3, 1, 1, 1, 2, 3, 2, 2, 3, 3, 0, 4, 3, 4, 4, 1, 4, 1, 2, 4, 2, 2, 4, 4, 1, 1, 0, 3, 2, 2, 4, 3, 4, 1, 2, 0, 2, 0, 4, 3, 4, 2, 1, 1, 4, 3, 2, 4, 2, 0, 0, 1, 4, 2, 1, 3, 1, 2, 2, 3, 3, 2, 1, 3, 2, 1, 0, 0, 2, 0, 4, 3, 0, 2, 4, 2, 1, 0, 4, 3, 1, 3, 1, 0, 2, 0, 3, 3, 3, 4, 0, 2, 1, 3, 4, 1, 1, 3, 3, 3, 4, 4, 2, 0, 2, 3, 2, 4, 0, 4, 2, 1, 0, 1, 3, 0, 1, 1, 4, 2, 2, 2, 3, 4, 2, 4, 0, 1, 2, 2, 0, 3, 3, 4, 0, 0, 3, 2, 1, 1, 0, 1, 0, 3, 0, 4, 0, 2, 2, 4, 2, 4, 3, 1, 3, 4, 3, 0, 1, 2, 4, 0, 2, 3, 3, 3, 4, 3, 4, 2, 1, 0, 0, 4, 4, 0, 1, 4, 0, 3, 1, 2, 0, 3, 3, 4, 0, 0, 3, 0, 0] pubkeycol857 = [3, 1, 0, 4, 4, 2, 3, 4, 1, 4, 0, 2, 4, 1, 2, 2, 4, 2, 0, 0, 2, 3, 1, 2, 2, 1, 3, 3, 3, 3, 4, 0, 2, 3, 0, 4, 0, 1, 2, 1, 2, 4, 1, 2, 4, 2, 2, 4, 4, 1, 0, 1, 3, 4, 0, 1, 0, 4, 2, 1, 3, 3, 4, 4, 0, 1, 2, 0, 2, 0, 2, 4, 0, 3, 4, 1, 4, 4, 4, 3, 3, 4, 3, 3, 2, 1, 0, 2, 1, 3, 3, 2, 3, 1, 4, 1, 3, 4, 4, 2, 2, 2, 4, 3, 3, 1, 3, 1, 2, 0, 3, 1, 0, 3, 4, 0, 4, 4, 3, 4, 2, 2, 2, 0, 4, 4, 1, 3, 0, 4, 1, 4, 3, 2, 0, 3, 2, 2, 0, 2, 3, 3, 1, 4, 1, 1, 3, 4, 2, 1, 3, 3, 1, 3, 3, 0, 1, 0, 4, 4, 0, 2, 1, 3, 4, 0, 1, 4, 3, 2, 0, 0, 0, 4, 3, 0, 0, 4, 1, 2, 4, 3, 4, 3, 2, 1, 4, 3, 3, 4, 2, 2, 1, 0, 4, 2, 4, 1, 0, 2, 0, 4, 3, 3, 3, 2, 1, 1, 1, 0, 0, 3, 1, 0, 3, 4, 4, 4, 1, 0, 2, 0, 1, 4, 3, 2, 0, 3, 3, 4, 2, 3, 3, 4, 3, 0, 4, 2, 4, 4, 0, 3, 1, 3, 2, 0, 3, 4, 4, 1, 0, 0, 3, 2, 3, 2, 1, 3, 1, 2, 0, 0, 0, 4, 1, 0, 2, 2, 2, 0, 4, 0, 4, 1, 4, 2, 2, 1, 3, 4, 1, 3, 0, 4, 3, 3, 0, 2, 2, 1, 1, 0, 0, 1, 1, 3, 0, 3, 1, 0, 2, 4, 4, 3, 2, 3, 4, 4, 0, 3, 1, 2, 2, 3, 1, 3, 2, 4, 0, 2] pubkeycol858 = [4, 2, 0, 0, 3, 4, 4, 1, 4, 3, 4, 2, 3, 0, 2, 2, 4, 4, 0, 1, 0, 3, 1, 0, 0, 3, 3, 1, 0, 3, 4, 1, 3, 4, 4, 2, 3, 3, 3, 4, 4, 0, 1, 2, 0, 0, 2, 4, 4, 1, 3, 3, 0, 3, 3, 4, 2, 4, 0, 1, 4, 4, 1, 1, 4, 2, 4, 4, 4, 2, 0, 4, 2, 4, 0, 4, 4, 2, 1, 3, 0, 1, 0, 4, 3, 0, 1, 1, 1, 0, 4, 3, 4, 4, 4, 4, 0, 3, 0, 1, 3, 0, 1, 1, 2, 0, 3, 1, 0, 1, 2, 4, 1, 0, 1, 0, 0, 2, 2, 2, 2, 4, 2, 0, 2, 4, 2, 2, 1, 4, 3, 3, 3, 1, 0, 3, 0, 0, 0, 0, 0, 2, 1, 3, 0, 4, 0, 1, 4, 0, 2, 4, 0, 0, 1, 2, 0, 4, 2, 0, 3, 3, 0, 0, 2, 0, 0, 3, 1, 4, 2, 4, 1, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 4, 0, 4, 1, 2, 4, 4, 4, 3, 2, 4, 0, 4, 3, 1, 2, 1, 1, 4, 0, 0, 0, 4, 2, 3, 2, 1, 3, 4, 2, 0, 0, 0, 0, 0, 2, 4, 0, 4, 2, 1, 0, 1, 0, 2, 1, 2, 4, 2, 1, 0, 0, 4, 4, 4, 4, 2, 4, 0, 3, 0, 0, 3, 3, 4, 3, 4, 4, 3, 2, 1, 3, 1, 0, 3, 4, 3, 0, 0, 3, 3, 2, 4, 3, 2, 2, 4, 4, 0, 3, 0, 1, 4, 1, 1, 4, 2, 0, 4, 4, 2, 0, 2, 0, 2, 2, 2, 4, 0, 1, 0, 2, 4, 3, 4, 2, 3, 4, 4, 0, 1, 3, 1, 4, 4, 0, 1, 1, 2, 0, 3, 0, 4, 4] pubkeycol859 = [2, 4, 0, 4, 4, 0, 1, 1, 2, 0, 3, 4, 3, 1, 4, 1, 4, 0, 1, 1, 3, 4, 1, 0, 0, 2, 4, 0, 4, 0, 0, 4, 3, 0, 0, 4, 1, 4, 1, 4, 0, 4, 1, 1, 0, 4, 3, 1, 4, 3, 4, 3, 1, 4, 1, 1, 2, 1, 2, 0, 1, 3, 0, 2, 3, 2, 3, 2, 0, 1, 3, 1, 4, 2, 2, 2, 2, 2, 2, 4, 0, 1, 3, 0, 2, 2, 0, 3, 0, 1, 2, 0, 2, 1, 4, 0, 4, 2, 1, 0, 3, 3, 0, 2, 4, 2, 0, 3, 0, 3, 2, 3, 4, 2, 4, 0, 4, 2, 3, 4, 1, 2, 1, 2, 0, 4, 3, 2, 3, 3, 1, 1, 1, 0, 3, 3, 3, 0, 3, 0, 2, 0, 1, 0, 3, 1, 0, 4, 1, 1, 2, 0, 0, 3, 3, 4, 3, 3, 1, 4, 1, 4, 0, 0, 4, 0, 2, 0, 3, 1, 1, 2, 1, 3, 4, 2, 4, 2, 2, 1, 2, 0, 4, 2, 1, 4, 4, 1, 2, 0, 2, 1, 4, 0, 3, 3, 2, 0, 4, 0, 0, 3, 4, 3, 0, 0, 0, 4, 1, 1, 4, 4, 4, 0, 1, 1, 2, 3, 3, 0, 1, 0, 0, 1, 0, 1, 0, 3, 0, 1, 4, 2, 4, 2, 1, 3, 0, 0, 1, 3, 1, 4, 2, 1, 3, 1, 2, 3, 1, 4, 4, 1, 2, 4, 4, 4, 3, 2, 4, 1, 3, 0, 2, 2, 1, 2, 0, 4, 4, 1, 4, 1, 3, 2, 0, 1, 4, 2, 2, 3, 2, 0, 1, 3, 3, 0, 4, 3, 0, 4, 3, 4, 1, 4, 0, 3, 2, 3, 1, 1, 4, 0, 3, 4, 1, 2, 0, 4, 1, 3, 3, 3, 4, 0, 2, 2, 0, 4, 4, 1] pubkeycol860 = [1, 2, 4, 2, 4, 0, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 3, 2, 1, 1, 1, 4, 4, 3, 0, 3, 0, 0, 3, 4, 3, 4, 3, 1, 1, 4, 4, 1, 1, 2, 0, 4, 1, 0, 1, 1, 0, 0, 4, 2, 3, 3, 1, 1, 1, 3, 3, 2, 0, 3, 1, 0, 4, 1, 2, 3, 1, 4, 3, 3, 0, 4, 4, 4, 4, 2, 1, 3, 3, 1, 4, 3, 3, 4, 4, 0, 3, 0, 3, 4, 0, 1, 3, 0, 3, 2, 1, 3, 0, 0, 2, 1, 3, 1, 1, 4, 0, 2, 3, 4, 2, 3, 4, 0, 0, 2, 2, 1, 3, 2, 2, 1, 1, 2, 3, 4, 3, 2, 4, 3, 0, 2, 1, 2, 3, 0, 0, 0, 3, 4, 1, 1, 4, 1, 1, 0, 3, 1, 4, 4, 2, 0, 0, 2, 1, 4, 1, 0, 4, 3, 4, 3, 0, 4, 4, 2, 0, 2, 1, 0, 4, 1, 1, 2, 4, 3, 2, 4, 1, 3, 4, 1, 0, 3, 1, 4, 3, 0, 2, 3, 1, 2, 0, 4, 4, 4, 4, 4, 0, 2, 2, 1, 0, 3, 1, 0, 2, 0, 4, 0, 1, 2, 2, 4, 1, 1, 2, 4, 2, 3, 0, 4, 4, 4, 2, 4, 4, 0, 4, 0, 3, 3, 3, 0, 0, 0, 3, 4, 4, 3, 2, 1, 1, 2, 0, 1, 3, 3, 2, 3, 0, 0, 1, 3, 2, 4, 2, 3, 2, 0, 1, 0, 4, 0, 0, 2, 4, 3, 0, 2, 4, 0, 2, 3, 4, 2, 2, 3, 2, 1, 3, 3, 4, 0, 1, 2, 2, 4, 1, 0, 2, 3, 0, 2, 3, 4, 2, 3, 3, 1, 1, 2, 3, 3, 4, 4, 4, 0, 2, 1, 2, 3, 4, 2, 0, 4, 2, 1, 2] pubkeycol861 = [4, 0, 4, 3, 2, 0, 3, 2, 4, 3, 4, 0, 1, 3, 3, 0, 0, 1, 1, 4, 2, 1, 4, 1, 0, 2, 0, 3, 4, 4, 4, 4, 3, 0, 2, 2, 0, 3, 2, 3, 1, 3, 3, 4, 0, 2, 4, 3, 3, 3, 3, 4, 3, 0, 2, 1, 4, 4, 2, 0, 1, 0, 4, 4, 3, 0, 2, 1, 4, 4, 3, 3, 3, 3, 4, 1, 1, 2, 1, 2, 4, 0, 2, 2, 4, 2, 0, 1, 0, 4, 0, 0, 1, 0, 0, 4, 0, 0, 4, 3, 2, 1, 4, 1, 3, 4, 3, 3, 0, 2, 0, 4, 2, 4, 0, 1, 4, 3, 3, 1, 2, 0, 1, 0, 3, 0, 2, 3, 3, 1, 0, 2, 1, 0, 0, 0, 3, 0, 0, 4, 2, 1, 1, 0, 4, 0, 2, 1, 0, 0, 3, 4, 4, 2, 2, 1, 4, 0, 3, 4, 0, 2, 2, 4, 1, 2, 1, 0, 2, 4, 2, 3, 3, 1, 3, 2, 2, 4, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 4, 3, 2, 2, 1, 4, 1, 3, 1, 2, 0, 4, 2, 4, 2, 2, 1, 1, 4, 0, 0, 4, 2, 0, 4, 4, 2, 3, 1, 4, 2, 2, 4, 3, 4, 2, 1, 4, 3, 0, 0, 4, 2, 4, 3, 2, 1, 4, 2, 1, 0, 0, 0, 1, 1, 1, 3, 0, 3, 1, 0, 1, 4, 1, 3, 0, 4, 1, 2, 2, 2, 3, 2, 0, 2, 1, 4, 4, 0, 2, 3, 3, 4, 2, 0, 1, 4, 2, 0, 2, 3, 2, 0, 1, 2, 1, 1, 1, 2, 3, 0, 0, 3, 2, 0, 3, 0, 1, 1, 4, 1, 4, 4, 3, 0, 3, 3, 4, 0, 0, 1, 3, 1, 3, 3, 3, 4, 2, 2, 0, 3, 0] pubkeycol862 = [2, 0, 1, 4, 4, 4, 2, 4, 2, 0, 1, 2, 2, 2, 3, 1, 0, 1, 1, 1, 4, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 3, 3, 4, 2, 0, 3, 1, 1, 2, 3, 1, 1, 0, 4, 2, 4, 2, 2, 4, 1, 4, 4, 3, 4, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 3, 4, 3, 1, 0, 2, 3, 4, 1, 2, 1, 1, 3, 4, 2, 4, 2, 0, 3, 4, 1, 4, 4, 0, 2, 2, 0, 4, 0, 0, 3, 2, 0, 2, 3, 2, 2, 1, 3, 3, 3, 1, 4, 3, 2, 1, 1, 0, 1, 2, 1, 4, 2, 2, 4, 3, 2, 0, 0, 4, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 4, 3, 4, 0, 0, 4, 3, 1, 4, 3, 0, 4, 1, 3, 0, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 2, 4, 3, 3, 4, 3, 0, 4, 0, 2, 2, 3, 0, 1, 0, 2, 0, 4, 0, 2, 0, 2, 0, 4, 3, 1, 2, 2, 0, 3, 3, 0, 3, 4, 4, 1, 3, 0, 2, 2, 3, 4, 3, 3, 3, 4, 2, 1, 3, 0, 1, 3, 3, 0, 2, 0, 0, 0, 0, 4, 2, 1, 1, 2, 4, 2, 2, 3, 4, 2, 2, 4, 4, 2, 4, 0, 3, 0, 1, 4, 3, 2, 1, 0, 3, 0, 2, 2, 1, 4, 4, 2, 3, 2, 4, 3, 1, 0, 2, 0, 4, 4, 3, 3, 3, 1, 3, 3, 0, 3, 4, 2, 4, 4, 1, 3, 1, 4, 3, 2, 4, 0, 4, 2, 4, 3, 3, 4, 1, 0, 4, 2, 2, 2, 1, 3, 0, 1, 2, 3, 0, 2, 3, 4, 3, 3, 2, 4, 1, 2] pubkeycol863 = [1, 3, 3, 0, 3, 3, 0, 0, 3, 2, 3, 2, 2, 1, 0, 0, 4, 4, 1, 2, 2, 4, 2, 4, 3, 2, 0, 3, 1, 3, 1, 0, 0, 4, 1, 0, 4, 2, 2, 2, 1, 1, 1, 3, 1, 4, 2, 2, 0, 0, 1, 1, 2, 4, 0, 3, 1, 1, 2, 3, 4, 1, 1, 2, 1, 3, 2, 0, 0, 1, 1, 2, 3, 4, 0, 1, 1, 1, 3, 1, 0, 2, 1, 4, 4, 2, 3, 0, 4, 3, 3, 3, 3, 4, 1, 0, 4, 0, 1, 1, 1, 3, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 4, 1, 4, 1, 3, 3, 1, 3, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 4, 2, 1, 4, 4, 2, 1, 0, 0, 0, 0, 2, 1, 3, 2, 4, 0, 3, 1, 2, 4, 3, 0, 3, 2, 1, 3, 2, 4, 3, 0, 4, 3, 1, 1, 1, 4, 1, 4, 4, 4, 4, 0, 4, 3, 1, 1, 1, 0, 3, 3, 3, 0, 4, 1, 3, 4, 1, 4, 1, 1, 0, 1, 3, 2, 3, 2, 4, 2, 2, 2, 1, 0, 1, 4, 0, 3, 0, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 1, 0, 0, 3, 4, 2, 1, 3, 1, 1, 0, 2, 1, 4, 3, 1, 0, 4, 4, 0, 3, 1, 0, 2, 2, 0, 2, 4, 3, 4, 1, 0, 4, 4, 2, 4, 3, 0, 3, 1, 1, 4, 4, 0, 1, 0, 3, 3, 1, 4, 1, 2, 3, 1, 4, 1, 2, 0, 1, 3, 2, 0, 3, 1, 0, 3, 3, 3, 2, 2, 0, 1, 0, 0, 0, 4, 4, 2, 4, 0, 2, 4, 0, 0, 2, 3, 4, 1, 1, 1, 2, 0, 1, 4, 0, 0, 1] pubkeycol864 = [1, 3, 3, 1, 4, 1, 0, 3, 1, 4, 4, 2, 2, 4, 0, 4, 2, 3, 1, 4, 0, 2, 0, 1, 2, 1, 0, 2, 2, 4, 3, 1, 4, 3, 0, 4, 3, 3, 4, 4, 0, 0, 4, 1, 4, 4, 2, 4, 1, 3, 0, 0, 4, 1, 4, 1, 3, 1, 0, 2, 2, 4, 2, 1, 3, 3, 1, 0, 0, 3, 4, 4, 2, 2, 2, 2, 4, 4, 0, 2, 3, 2, 0, 0, 4, 4, 1, 2, 3, 2, 1, 0, 0, 3, 1, 2, 1, 4, 4, 1, 3, 1, 2, 0, 1, 0, 2, 4, 2, 4, 2, 0, 1, 2, 2, 1, 0, 4, 0, 0, 1, 2, 3, 2, 4, 3, 2, 0, 2, 0, 1, 3, 0, 2, 2, 3, 4, 0, 2, 3, 1, 1, 2, 1, 1, 2, 1, 3, 1, 4, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 1, 1, 1, 3, 4, 2, 0, 4, 4, 3, 0, 1, 2, 0, 4, 4, 4, 4, 2, 3, 0, 0, 4, 4, 3, 2, 1, 2, 2, 0, 3, 1, 2, 0, 0, 2, 0, 2, 4, 4, 2, 0, 4, 3, 1, 3, 4, 0, 1, 3, 0, 0, 1, 1, 0, 2, 3, 3, 0, 3, 3, 4, 0, 0, 1, 1, 0, 4, 2, 0, 1, 4, 2, 2, 4, 3, 3, 2, 2, 2, 4, 1, 4, 3, 0, 4, 3, 1, 0, 0, 3, 3, 0, 4, 2, 1, 2, 4, 4, 0, 3, 0, 2, 0, 0, 0, 1, 2, 3, 2, 4, 0, 2, 1, 4, 0, 0, 4, 1, 3, 4, 1, 4, 1, 4, 3, 3, 3, 2, 3, 3, 0, 1, 2, 2, 3, 3, 2, 2, 3, 1, 0, 4, 0, 2, 0, 0, 2, 4, 1, 1, 3, 0, 2, 0, 0, 2, 4, 4, 4] pubkeycol865 = [3, 2, 1, 4, 2, 0, 4, 0, 3, 0, 0, 0, 3, 1, 4, 3, 0, 3, 0, 4, 3, 0, 3, 2, 3, 0, 4, 3, 2, 3, 1, 2, 4, 1, 4, 3, 4, 0, 0, 1, 2, 4, 4, 3, 4, 2, 3, 3, 2, 4, 1, 4, 1, 4, 3, 3, 1, 1, 3, 3, 4, 0, 2, 1, 3, 0, 1, 1, 1, 2, 2, 2, 4, 0, 0, 3, 4, 0, 1, 0, 2, 4, 1, 3, 1, 3, 3, 3, 2, 3, 4, 3, 4, 3, 0, 1, 2, 0, 0, 4, 2, 1, 0, 4, 1, 0, 0, 1, 0, 4, 4, 4, 3, 1, 0, 1, 3, 3, 1, 1, 1, 3, 0, 0, 0, 2, 3, 1, 2, 3, 4, 2, 3, 4, 0, 0, 1, 1, 3, 3, 2, 0, 3, 4, 4, 1, 3, 3, 0, 4, 3, 1, 0, 1, 3, 4, 4, 3, 0, 3, 3, 0, 2, 1, 1, 4, 1, 1, 0, 4, 4, 4, 3, 4, 3, 2, 4, 2, 3, 4, 2, 0, 1, 4, 2, 4, 1, 0, 1, 3, 0, 3, 0, 0, 3, 3, 2, 2, 1, 4, 2, 1, 2, 1, 2, 2, 1, 0, 3, 1, 4, 0, 1, 3, 4, 1, 4, 4, 2, 2, 1, 2, 1, 3, 2, 1, 0, 3, 1, 1, 4, 1, 0, 3, 3, 3, 1, 0, 3, 4, 1, 2, 4, 1, 1, 0, 4, 2, 0, 4, 3, 2, 0, 1, 3, 1, 1, 4, 2, 4, 4, 2, 4, 4, 0, 0, 4, 1, 0, 0, 4, 4, 2, 2, 2, 1, 3, 2, 0, 0, 2, 0, 3, 1, 1, 1, 1, 3, 0, 2, 1, 1, 2, 3, 0, 2, 2, 0, 3, 0, 1, 1, 1, 1, 0, 1, 4, 0, 1, 1, 0, 2, 4, 3, 0, 0, 1, 0, 0, 1] pubkeycol866 = [3, 0, 2, 0, 4, 2, 2, 1, 3, 3, 3, 1, 3, 1, 3, 0, 3, 1, 3, 4, 0, 0, 1, 3, 1, 0, 0, 0, 0, 4, 0, 1, 4, 2, 0, 2, 3, 4, 0, 3, 4, 3, 2, 1, 2, 4, 0, 0, 4, 3, 4, 0, 3, 0, 3, 3, 4, 1, 2, 4, 0, 2, 1, 1, 0, 4, 2, 3, 0, 2, 1, 4, 3, 1, 2, 0, 3, 0, 1, 2, 3, 3, 2, 2, 2, 1, 3, 1, 3, 1, 0, 0, 1, 2, 0, 1, 3, 4, 3, 3, 2, 1, 2, 4, 0, 4, 2, 3, 0, 4, 2, 4, 3, 2, 2, 4, 3, 2, 4, 1, 1, 2, 1, 2, 3, 0, 0, 4, 2, 4, 0, 4, 2, 3, 1, 3, 4, 0, 4, 2, 3, 2, 2, 1, 1, 4, 3, 1, 0, 3, 3, 0, 2, 0, 1, 1, 4, 3, 2, 1, 3, 1, 2, 2, 2, 4, 1, 1, 1, 4, 4, 1, 2, 4, 1, 4, 4, 1, 4, 2, 0, 4, 0, 3, 0, 2, 4, 2, 0, 1, 3, 3, 0, 4, 1, 1, 4, 3, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 4, 4, 2, 3, 2, 4, 0, 3, 2, 0, 3, 0, 4, 0, 3, 1, 2, 1, 4, 0, 1, 0, 3, 1, 2, 2, 3, 3, 4, 0, 1, 1, 0, 2, 1, 3, 4, 0, 1, 1, 2, 4, 0, 1, 2, 0, 2, 2, 1, 4, 0, 3, 0, 3, 4, 4, 4, 1, 2, 4, 4, 3, 2, 3, 3, 4, 1, 4, 3, 1, 4, 4, 4, 4, 0, 0, 4, 2, 1, 3, 1, 0, 3, 1, 2, 4, 0, 4, 4, 2, 2, 2, 2, 1, 3, 4, 4, 2, 1, 3, 2, 3, 0, 0, 4, 3, 1, 2, 2] pubkeycol867 = [3, 4, 3, 2, 1, 1, 1, 3, 3, 4, 4, 0, 1, 0, 1, 1, 4, 1, 0, 2, 2, 3, 1, 3, 3, 2, 0, 4, 1, 4, 2, 1, 3, 1, 4, 4, 2, 0, 1, 3, 1, 2, 1, 3, 3, 0, 4, 4, 4, 1, 3, 2, 2, 4, 1, 2, 1, 4, 4, 4, 2, 4, 2, 2, 3, 1, 4, 4, 2, 4, 2, 3, 0, 0, 4, 2, 0, 0, 1, 3, 2, 3, 4, 1, 2, 2, 0, 2, 1, 4, 0, 4, 4, 2, 4, 2, 1, 2, 4, 2, 2, 2, 0, 3, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 3, 2, 3, 1, 4, 3, 0, 2, 4, 2, 4, 2, 4, 2, 0, 2, 3, 0, 4, 4, 1, 2, 2, 4, 2, 2, 3, 0, 1, 2, 0, 2, 0, 3, 2, 3, 2, 3, 1, 0, 3, 1, 0, 3, 0, 2, 1, 4, 4, 1, 2, 2, 0, 2, 0, 1, 2, 4, 3, 4, 1, 0, 0, 4, 3, 1, 1, 4, 2, 4, 1, 1, 3, 0, 3, 3, 4, 0, 3, 1, 1, 1, 0, 0, 0, 2, 4, 1, 2, 3, 0, 2, 4, 2, 4, 3, 4, 4, 0, 3, 0, 1, 0, 1, 3, 2, 0, 3, 1, 1, 4, 3, 3, 1, 4, 2, 4, 2, 3, 2, 0, 1, 0, 3, 2, 2, 1, 2, 3, 0, 4, 3, 2, 4, 0, 0, 0, 0, 2, 3, 1, 2, 0, 4, 4, 3, 0, 3, 2, 2, 2, 4, 0, 3, 4, 4, 4, 1, 4, 3, 4, 2, 2, 4, 4, 3, 0, 1, 2, 1, 3, 3, 3, 0, 0, 1, 0, 3, 1, 3, 3, 2, 4, 2, 1, 2, 0, 3, 0, 4, 2, 3, 0, 1, 2, 0, 4, 3, 3, 0, 0, 3, 0, 0, 3, 1] pubkeycol868 = [2, 4, 1, 2, 2, 1, 1, 4, 3, 4, 0, 4, 3, 0, 2, 1, 1, 1, 3, 4, 4, 4, 4, 3, 1, 2, 1, 4, 4, 2, 4, 2, 1, 3, 1, 0, 2, 4, 2, 0, 2, 0, 0, 4, 4, 3, 1, 0, 2, 2, 0, 2, 4, 0, 0, 4, 2, 1, 2, 2, 4, 1, 3, 4, 0, 3, 1, 3, 1, 4, 3, 4, 4, 4, 4, 1, 3, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 1, 4, 0, 4, 2, 0, 0, 3, 1, 4, 4, 4, 3, 1, 0, 2, 1, 1, 1, 2, 2, 4, 4, 1, 1, 3, 0, 4, 1, 0, 0, 4, 2, 2, 0, 4, 1, 2, 1, 2, 0, 4, 2, 0, 3, 1, 3, 2, 2, 3, 4, 2, 2, 0, 2, 2, 2, 2, 4, 3, 4, 1, 2, 2, 3, 0, 1, 2, 3, 2, 0, 1, 3, 1, 3, 4, 3, 2, 4, 4, 2, 3, 2, 2, 2, 2, 2, 4, 2, 1, 2, 2, 1, 2, 1, 0, 3, 1, 3, 4, 1, 1, 1, 1, 0, 2, 4, 4, 1, 2, 1, 0, 0, 3, 0, 4, 0, 2, 0, 0, 1, 4, 3, 0, 4, 2, 3, 0, 2, 2, 4, 0, 2, 1, 2, 3, 2, 4, 1, 0, 4, 0, 1, 0, 2, 1, 4, 2, 2, 1, 0, 1, 1, 3, 3, 2, 4, 0, 2, 4, 0, 4, 4, 0, 0, 4, 4, 3, 3, 2, 1, 1, 1, 1, 0, 4, 1, 2, 4, 3, 3, 0, 1, 3, 0, 4, 1, 4, 4, 4, 0, 4, 1, 4, 2, 3, 1, 1, 0, 2, 1, 3, 2, 0, 4, 2, 3, 2, 0, 3, 4, 1, 3, 1, 2, 1, 0, 2, 2, 3, 2, 3, 2, 4, 1, 1, 2, 4, 3, 3, 2] pubkeycol869 = [4, 3, 3, 4, 2, 1, 3, 2, 3, 3, 3, 4, 0, 1, 0, 2, 3, 3, 4, 2, 0, 0, 4, 2, 1, 0, 3, 1, 1, 1, 0, 1, 0, 1, 4, 2, 4, 1, 2, 4, 2, 1, 1, 0, 2, 4, 2, 1, 1, 3, 3, 4, 1, 0, 1, 2, 3, 4, 0, 2, 0, 1, 0, 3, 3, 0, 4, 2, 4, 1, 0, 3, 4, 0, 4, 0, 1, 1, 3, 4, 2, 1, 0, 2, 1, 0, 0, 0, 0, 3, 1, 2, 1, 2, 0, 2, 3, 1, 3, 0, 3, 4, 3, 4, 1, 4, 4, 3, 3, 0, 4, 4, 0, 2, 3, 3, 0, 2, 1, 3, 0, 1, 2, 1, 3, 0, 4, 1, 1, 1, 0, 0, 4, 3, 2, 0, 4, 4, 2, 2, 4, 3, 3, 1, 0, 0, 2, 4, 3, 1, 4, 4, 1, 2, 3, 2, 0, 3, 2, 0, 3, 2, 1, 2, 0, 4, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 1, 0, 3, 3, 2, 4, 4, 1, 1, 2, 1, 4, 4, 0, 3, 4, 0, 0, 4, 4, 0, 2, 3, 2, 0, 1, 4, 0, 1, 0, 3, 2, 3, 4, 3, 0, 3, 4, 1, 0, 4, 1, 4, 3, 0, 4, 1, 1, 2, 0, 2, 1, 4, 2, 0, 4, 2, 4, 2, 2, 3, 3, 1, 2, 1, 0, 4, 1, 2, 1, 2, 4, 3, 2, 4, 4, 1, 2, 4, 1, 1, 0, 0, 4, 3, 1, 2, 0, 3, 4, 3, 0, 2, 3, 4, 0, 1, 2, 4, 1, 0, 4, 2, 4, 3, 3, 4, 0, 2, 2, 4, 3, 4, 3, 0, 0, 3, 1, 1, 0, 1, 3, 0, 2, 1, 3, 3, 2, 3, 4, 0, 1, 3] pubkeycol870 = [2, 1, 1, 4, 3, 3, 1, 1, 4, 1, 1, 2, 0, 3, 1, 0, 4, 3, 0, 0, 3, 3, 3, 3, 1, 2, 4, 0, 2, 4, 4, 4, 4, 0, 4, 1, 4, 0, 0, 1, 4, 1, 0, 3, 3, 2, 4, 2, 0, 1, 1, 0, 4, 1, 1, 3, 0, 3, 2, 0, 3, 4, 4, 2, 2, 1, 4, 0, 4, 3, 2, 4, 0, 1, 0, 4, 0, 0, 3, 2, 1, 2, 3, 1, 1, 3, 4, 1, 1, 4, 3, 0, 3, 1, 2, 0, 4, 4, 2, 1, 1, 1, 0, 4, 3, 3, 4, 1, 4, 4, 3, 1, 0, 2, 3, 1, 2, 4, 0, 2, 4, 1, 4, 4, 3, 0, 1, 1, 4, 1, 1, 2, 0, 4, 4, 0, 3, 2, 3, 1, 3, 4, 1, 1, 3, 3, 4, 2, 4, 4, 2, 0, 3, 4, 3, 1, 2, 1, 1, 2, 2, 3, 0, 1, 2, 0, 3, 4, 2, 3, 4, 1, 4, 1, 3, 4, 1, 3, 0, 1, 3, 1, 2, 0, 2, 4, 1, 0, 2, 3, 0, 1, 3, 3, 0, 1, 3, 0, 2, 1, 3, 3, 4, 1, 4, 0, 3, 1, 4, 2, 0, 4, 2, 0, 2, 1, 2, 3, 1, 4, 1, 1, 3, 2, 2, 1, 3, 3, 4, 4, 4, 0, 0, 1, 4, 2, 0, 4, 3, 2, 2, 3, 1, 3, 0, 4, 3, 3, 1, 1, 3, 1, 3, 1, 0, 3, 0, 4, 4, 4, 0, 2, 1, 3, 2, 2, 3, 2, 1, 1, 1, 4, 3, 4, 1, 4, 3, 1, 3, 1, 3, 1, 0, 1, 2, 3, 0, 4, 4, 0, 2, 4, 2, 0, 1, 2, 4, 2, 2, 4, 1, 4, 2, 4, 0, 0, 1, 4, 2, 0, 1, 4, 3, 4, 0, 4, 1, 2, 2, 4] pubkeycol871 = [4, 3, 0, 4, 2, 2, 2, 0, 0, 2, 2, 0, 2, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 4, 4, 1, 1, 3, 3, 4, 1, 0, 0, 4, 0, 0, 0, 4, 1, 4, 2, 3, 3, 4, 3, 3, 0, 0, 3, 1, 4, 4, 3, 4, 2, 1, 0, 2, 4, 3, 1, 2, 2, 3, 2, 1, 1, 2, 3, 0, 2, 3, 3, 3, 2, 0, 1, 4, 1, 2, 2, 1, 3, 2, 1, 3, 3, 2, 0, 3, 4, 2, 0, 1, 3, 4, 1, 1, 2, 2, 0, 2, 4, 4, 1, 4, 0, 1, 0, 3, 2, 3, 1, 2, 1, 0, 3, 0, 1, 0, 3, 1, 1, 2, 3, 4, 0, 0, 3, 4, 4, 2, 0, 3, 1, 1, 4, 3, 3, 4, 2, 2, 3, 1, 0, 4, 2, 1, 0, 4, 1, 4, 3, 0, 4, 4, 1, 1, 0, 2, 3, 4, 0, 3, 2, 1, 4, 4, 3, 3, 1, 4, 1, 0, 2, 2, 0, 0, 4, 2, 1, 2, 2, 4, 0, 0, 2, 4, 1, 3, 1, 2, 3, 3, 4, 2, 1, 0, 1, 0, 4, 0, 4, 4, 1, 0, 3, 0, 2, 1, 4, 2, 2, 4, 4, 1, 3, 0, 4, 4, 2, 3, 4, 3, 0, 2, 4, 1, 3, 3, 3, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 3, 4, 2, 0, 3, 3, 0, 3, 1, 0, 4, 0, 0, 3, 4, 0, 1, 0, 0, 2, 0, 2, 4, 2, 4, 2, 2, 4, 0, 3, 3, 3, 1, 3, 0, 0, 3, 2, 2, 4, 0, 4, 2, 0, 2, 3, 3, 4, 3, 2, 3, 3, 2, 4, 2, 4, 3, 0, 0, 0, 0, 4, 1, 2, 0, 1, 1, 1, 0, 0, 3, 2, 3, 2, 2, 0, 0] pubkeycol872 = [0, 1, 2, 4, 0, 4, 0, 4, 2, 3, 0, 4, 2, 4, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 3, 0, 0, 3, 4, 4, 0, 4, 4, 0, 0, 4, 2, 0, 0, 2, 2, 4, 0, 4, 2, 0, 1, 1, 3, 4, 0, 4, 2, 3, 3, 1, 2, 1, 0, 1, 3, 3, 3, 0, 0, 4, 0, 2, 0, 4, 0, 4, 2, 4, 4, 2, 1, 1, 2, 4, 2, 3, 0, 0, 2, 4, 0, 4, 4, 3, 0, 4, 3, 3, 4, 3, 4, 3, 2, 0, 2, 4, 4, 3, 3, 0, 2, 3, 4, 1, 1, 2, 4, 3, 1, 4, 1, 0, 4, 3, 0, 3, 1, 2, 3, 2, 3, 2, 0, 2, 3, 0, 3, 2, 0, 0, 4, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 4, 1, 3, 3, 1, 1, 2, 0, 1, 1, 2, 4, 3, 3, 4, 0, 2, 1, 3, 4, 1, 2, 4, 3, 3, 2, 4, 3, 0, 4, 3, 1, 0, 1, 4, 2, 4, 3, 0, 4, 2, 1, 0, 0, 1, 1, 0, 1, 0, 3, 4, 2, 0, 1, 4, 2, 4, 1, 2, 2, 2, 4, 4, 3, 1, 3, 1, 2, 2, 2, 1, 0, 1, 3, 2, 4, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 0, 2, 0, 1, 2, 2, 4, 0, 3, 3, 2, 4, 4, 2, 4, 1, 4, 0, 4, 3, 2, 1, 3, 3, 1, 2, 2, 2, 2, 2, 1, 4, 0, 2, 3, 2, 2, 0, 0, 1, 4, 4, 0, 3, 0, 3, 1, 4, 0, 0, 0, 3, 1, 1, 3, 2, 2, 3, 1, 1, 4, 3, 2, 2, 2, 4, 0, 2, 4, 2, 2, 0, 4, 4, 1, 2, 0, 4, 2, 0, 3, 0, 2, 3, 2] pubkeycol873 = [2, 2, 3, 4, 4, 0, 1, 3, 0, 1, 0, 4, 3, 0, 1, 3, 2, 3, 0, 3, 2, 4, 1, 3, 0, 4, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 4, 2, 1, 3, 3, 2, 1, 2, 1, 3, 4, 4, 1, 3, 0, 0, 3, 0, 1, 3, 2, 0, 4, 1, 4, 2, 1, 3, 0, 1, 1, 3, 1, 1, 2, 4, 2, 2, 2, 3, 4, 0, 1, 3, 0, 1, 1, 1, 2, 4, 0, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 3, 1, 3, 1, 0, 1, 0, 3, 2, 4, 3, 3, 3, 3, 4, 2, 1, 2, 3, 3, 2, 1, 2, 4, 3, 1, 4, 1, 3, 4, 0, 2, 0, 0, 0, 1, 3, 0, 2, 3, 2, 1, 2, 0, 3, 2, 0, 3, 2, 0, 3, 0, 2, 3, 2, 2, 3, 4, 3, 2, 2, 2, 2, 4, 2, 3, 1, 1, 2, 2, 3, 3, 1, 0, 4, 4, 4, 1, 4, 2, 3, 3, 4, 2, 4, 0, 0, 2, 2, 2, 4, 3, 0, 1, 0, 1, 4, 3, 1, 2, 3, 0, 0, 1, 3, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 4, 3, 1, 1, 3, 4, 2, 1, 0, 1, 3, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 4, 1, 0, 1, 4, 1, 0, 2, 3, 0, 3, 0, 3, 1, 3, 3, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 4, 4, 0, 3, 1, 3, 1, 4, 1, 4, 0, 2, 3, 1, 0, 1, 1, 0, 3, 1, 0, 3, 0, 0, 2, 3, 2, 1, 1, 0, 4, 0, 4, 0, 1, 2, 0, 4, 3, 0, 4, 3, 4, 1, 3, 1, 2, 1, 2, 1, 1, 0, 2, 3, 0, 1, 4, 2] pubkeycol874 = [4, 2, 0, 2, 1, 2, 0, 3, 2, 1, 0, 3, 0, 2, 2, 0, 4, 3, 3, 2, 1, 1, 1, 3, 3, 1, 4, 4, 4, 3, 0, 0, 4, 4, 3, 1, 4, 3, 3, 0, 0, 4, 4, 4, 3, 0, 3, 2, 4, 0, 1, 0, 2, 1, 3, 3, 4, 3, 4, 1, 3, 0, 4, 4, 2, 4, 2, 4, 2, 0, 1, 0, 0, 0, 0, 2, 4, 4, 2, 0, 2, 0, 3, 1, 2, 0, 0, 2, 3, 2, 2, 2, 4, 4, 2, 4, 3, 2, 1, 3, 3, 2, 0, 2, 3, 0, 3, 0, 2, 1, 3, 3, 0, 4, 4, 1, 0, 2, 1, 1, 3, 3, 1, 1, 4, 0, 2, 4, 0, 4, 4, 0, 0, 3, 4, 4, 0, 4, 4, 2, 3, 3, 2, 0, 3, 0, 0, 4, 4, 0, 4, 4, 4, 1, 3, 1, 2, 0, 1, 0, 0, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 0, 0, 2, 4, 0, 3, 1, 2, 2, 3, 4, 2, 2, 4, 3, 0, 3, 4, 0, 1, 4, 2, 3, 2, 0, 3, 0, 3, 4, 4, 3, 4, 0, 2, 2, 1, 3, 0, 3, 0, 0, 4, 0, 0, 4, 2, 4, 1, 2, 4, 4, 3, 2, 3, 1, 2, 2, 0, 2, 3, 1, 0, 2, 3, 4, 4, 4, 1, 0, 4, 3, 1, 0, 3, 4, 3, 2, 3, 3, 0, 3, 1, 2, 2, 1, 0, 0, 4, 4, 0, 4, 2, 3, 3, 4, 4, 0, 3, 1, 1, 0, 0, 2, 2, 2, 4, 1, 3, 0, 2, 3, 0, 1, 2, 2, 1, 4, 1, 2, 0, 3, 4, 0, 2, 1, 4, 1, 4, 1, 1, 2, 4, 1, 0, 3, 1, 4, 2, 1, 1, 0, 2, 2, 4, 1, 3, 2, 0, 1] pubkeycol875 = [2, 1, 0, 0, 4, 3, 3, 1, 0, 0, 3, 4, 3, 0, 3, 2, 4, 4, 2, 0, 3, 2, 4, 2, 4, 3, 3, 2, 1, 2, 0, 2, 4, 0, 0, 2, 1, 2, 1, 4, 4, 1, 2, 2, 1, 1, 3, 4, 2, 1, 1, 3, 4, 3, 0, 1, 0, 4, 4, 0, 2, 3, 1, 1, 1, 3, 3, 4, 4, 2, 1, 3, 0, 2, 1, 0, 4, 4, 0, 0, 1, 0, 0, 1, 4, 0, 3, 2, 3, 3, 1, 2, 4, 3, 2, 3, 2, 2, 1, 4, 2, 1, 1, 0, 1, 2, 3, 2, 3, 3, 4, 2, 3, 2, 0, 0, 1, 4, 2, 0, 1, 0, 0, 4, 2, 4, 0, 1, 4, 3, 2, 0, 2, 3, 2, 0, 0, 2, 1, 1, 0, 3, 0, 1, 2, 4, 3, 2, 4, 0, 4, 4, 0, 3, 1, 0, 3, 1, 2, 2, 2, 4, 2, 1, 4, 4, 4, 4, 0, 0, 3, 3, 1, 3, 2, 1, 2, 4, 0, 3, 0, 3, 0, 0, 1, 0, 0, 3, 1, 0, 2, 1, 3, 3, 4, 4, 0, 2, 2, 1, 1, 4, 0, 3, 1, 4, 1, 2, 3, 0, 2, 1, 1, 2, 0, 4, 1, 0, 4, 1, 2, 4, 4, 2, 0, 4, 0, 1, 2, 3, 0, 3, 0, 3, 1, 2, 2, 2, 2, 2, 3, 0, 3, 2, 2, 3, 0, 2, 3, 3, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 4, 4, 4, 3, 4, 0, 3, 2, 1, 4, 3, 0, 2, 4, 2, 1, 3, 2, 4, 2, 2, 2, 1, 3, 3, 1, 0, 4, 2, 3, 3, 3, 2, 1, 4, 0, 2, 1, 2, 4, 1, 0, 0, 0, 4, 0, 0, 2, 4, 4, 2, 4, 4, 3, 1, 0] pubkeycol876 = [4, 1, 4, 2, 1, 2, 4, 0, 1, 4, 2, 1, 3, 1, 0, 2, 3, 0, 4, 3, 0, 2, 0, 1, 0, 2, 1, 4, 0, 0, 1, 0, 4, 0, 1, 3, 4, 0, 0, 3, 4, 0, 3, 0, 0, 3, 2, 2, 4, 3, 4, 2, 2, 2, 1, 1, 2, 3, 0, 0, 1, 0, 0, 3, 3, 0, 0, 2, 0, 3, 4, 4, 0, 3, 0, 1, 2, 1, 4, 3, 2, 4, 4, 3, 1, 2, 1, 0, 4, 2, 2, 2, 4, 4, 0, 1, 3, 1, 0, 4, 1, 3, 3, 1, 2, 0, 0, 4, 0, 1, 1, 4, 0, 1, 3, 0, 0, 4, 0, 1, 0, 4, 1, 0, 4, 1, 4, 4, 3, 3, 2, 0, 1, 1, 2, 4, 3, 1, 3, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 4, 0, 3, 0, 4, 1, 3, 3, 4, 1, 0, 1, 0, 3, 4, 3, 0, 3, 1, 4, 4, 0, 2, 2, 2, 4, 3, 1, 1, 3, 4, 1, 3, 3, 3, 4, 4, 3, 4, 0, 2, 4, 0, 3, 1, 1, 4, 0, 3, 4, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 3, 3, 1, 1, 4, 1, 2, 2, 2, 1, 2, 2, 4, 2, 2, 2, 3, 3, 2, 0, 4, 3, 3, 4, 4, 3, 4, 2, 3, 3, 4, 0, 3, 4, 1, 1, 2, 2, 2, 4, 3, 2, 2, 1, 4, 2, 1, 4, 4, 3, 4, 4, 0, 1, 4, 1, 3, 4, 4, 0, 2, 2, 4, 0, 0, 1, 3, 2, 2, 4, 3, 4, 1, 2, 2, 1, 3, 1, 0, 2, 3, 3, 0, 4, 3, 0, 1, 2, 2, 3, 2, 1, 0, 3, 0, 4, 1, 1, 3, 4, 4, 1, 2, 3] pubkeycol877 = [3, 3, 3, 1, 1, 3, 4, 3, 2, 0, 1, 4, 0, 1, 4, 2, 4, 3, 3, 1, 2, 4, 1, 0, 1, 3, 4, 4, 0, 3, 0, 4, 2, 4, 1, 1, 3, 3, 3, 0, 4, 3, 0, 4, 4, 1, 1, 4, 0, 1, 1, 3, 0, 0, 1, 4, 3, 0, 1, 1, 1, 3, 2, 3, 1, 4, 3, 1, 0, 1, 4, 3, 1, 3, 4, 4, 1, 3, 2, 2, 3, 4, 1, 2, 0, 3, 0, 2, 1, 3, 2, 2, 4, 3, 4, 0, 2, 1, 4, 0, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 3, 4, 2, 1, 0, 4, 3, 0, 4, 4, 2, 0, 2, 4, 4, 0, 0, 0, 1, 1, 4, 4, 1, 2, 2, 0, 1, 0, 3, 3, 0, 2, 4, 4, 4, 4, 2, 1, 2, 3, 4, 4, 4, 4, 1, 4, 3, 1, 2, 2, 0, 2, 3, 0, 4, 0, 4, 1, 3, 1, 4, 1, 1, 0, 0, 1, 1, 3, 2, 2, 4, 1, 3, 0, 1, 2, 4, 0, 3, 1, 1, 4, 3, 4, 1, 0, 2, 1, 0, 1, 3, 3, 1, 0, 0, 4, 2, 1, 2, 2, 0, 1, 1, 3, 4, 0, 0, 0, 3, 0, 0, 2, 3, 0, 2, 1, 3, 3, 1, 0, 3, 1, 4, 3, 0, 4, 1, 1, 4, 4, 3, 4, 4, 2, 3, 1, 1, 0, 4, 0, 1, 0, 1, 3, 4, 1, 0, 3, 4, 1, 2, 1, 0, 2, 1, 3, 3, 4, 2, 1, 3, 1, 3, 2, 2, 0, 3, 0, 4, 3, 0, 4, 3, 0, 2, 4, 1, 4, 4, 0, 1, 1, 0, 1, 3, 4, 2, 2, 4, 2, 4, 1, 1, 0, 0, 4, 0, 0, 0, 1, 2, 2, 4, 0, 4, 3, 4] pubkeycol878 = [3, 1, 1, 0, 4, 4, 4, 4, 1, 0, 3, 1, 1, 4, 4, 1, 1, 1, 0, 3, 3, 3, 2, 1, 4, 4, 2, 1, 1, 0, 3, 2, 3, 2, 4, 0, 1, 4, 2, 4, 1, 3, 2, 3, 2, 1, 1, 3, 0, 1, 4, 0, 3, 3, 1, 0, 1, 4, 2, 2, 0, 2, 1, 3, 2, 3, 1, 2, 4, 1, 2, 3, 2, 2, 1, 3, 4, 2, 2, 2, 0, 3, 0, 0, 2, 3, 1, 2, 2, 2, 2, 1, 1, 1, 4, 2, 4, 0, 3, 3, 3, 4, 4, 0, 2, 0, 3, 3, 4, 3, 1, 3, 2, 1, 3, 0, 1, 3, 2, 4, 3, 4, 0, 3, 4, 1, 1, 3, 0, 3, 2, 1, 3, 4, 4, 3, 1, 3, 1, 3, 3, 1, 0, 3, 4, 2, 2, 2, 1, 0, 2, 4, 2, 4, 3, 4, 2, 4, 3, 3, 0, 4, 2, 1, 1, 0, 0, 3, 4, 4, 0, 3, 2, 1, 4, 4, 4, 4, 0, 0, 2, 2, 4, 1, 3, 3, 0, 4, 2, 4, 0, 4, 2, 0, 1, 1, 0, 3, 2, 3, 0, 0, 1, 2, 4, 0, 2, 3, 4, 4, 0, 3, 3, 4, 0, 4, 2, 0, 4, 0, 1, 3, 4, 4, 4, 1, 3, 4, 3, 4, 0, 4, 3, 0, 1, 3, 4, 4, 2, 1, 2, 3, 3, 0, 3, 1, 4, 2, 1, 4, 2, 3, 0, 2, 2, 2, 4, 0, 1, 3, 4, 2, 4, 3, 3, 1, 0, 3, 3, 2, 3, 1, 0, 4, 2, 1, 0, 0, 1, 4, 2, 1, 1, 4, 0, 2, 4, 2, 0, 2, 1, 2, 0, 1, 3, 1, 2, 3, 3, 1, 3, 0, 2, 1, 3, 0, 2, 0, 4, 3, 0, 1, 1, 0, 3, 0, 0, 1, 4, 0] pubkeycol879 = [3, 2, 4, 4, 4, 2, 1, 3, 0, 2, 3, 3, 3, 1, 3, 2, 1, 0, 2, 1, 4, 1, 4, 2, 2, 1, 0, 3, 0, 0, 4, 1, 2, 0, 2, 3, 3, 0, 2, 4, 1, 4, 0, 3, 2, 4, 3, 1, 2, 4, 4, 0, 4, 1, 0, 4, 0, 0, 4, 1, 2, 4, 2, 0, 3, 3, 0, 4, 1, 0, 2, 3, 2, 3, 4, 3, 0, 4, 3, 3, 4, 0, 4, 4, 2, 1, 4, 2, 0, 4, 4, 4, 3, 1, 0, 4, 4, 0, 3, 3, 1, 4, 1, 2, 3, 0, 4, 2, 4, 2, 3, 4, 4, 4, 0, 1, 2, 2, 0, 1, 0, 3, 0, 2, 3, 2, 0, 4, 4, 1, 4, 3, 1, 4, 4, 1, 1, 3, 2, 3, 0, 0, 3, 1, 3, 1, 2, 4, 1, 3, 4, 1, 0, 2, 2, 3, 0, 4, 3, 1, 3, 2, 1, 1, 3, 2, 0, 1, 0, 4, 1, 1, 4, 3, 2, 1, 3, 3, 0, 3, 2, 0, 4, 1, 0, 0, 3, 1, 0, 3, 3, 0, 4, 0, 2, 0, 3, 4, 2, 1, 2, 2, 4, 0, 2, 4, 2, 2, 4, 3, 2, 0, 1, 0, 4, 1, 0, 4, 2, 2, 3, 0, 4, 4, 4, 3, 2, 0, 2, 4, 0, 3, 0, 0, 3, 4, 3, 3, 0, 2, 2, 3, 4, 1, 4, 1, 3, 4, 2, 2, 0, 3, 4, 0, 0, 3, 1, 1, 0, 4, 1, 0, 0, 1, 1, 4, 2, 0, 4, 4, 2, 0, 0, 2, 2, 0, 4, 3, 0, 4, 2, 0, 1, 4, 1, 3, 4, 0, 1, 1, 3, 0, 3, 0, 1, 3, 4, 3, 4, 0, 0, 2, 3, 3, 0, 3, 1, 4, 1, 0, 3, 2, 3, 2, 1, 3, 4, 3, 1, 0] pubkeycol880 = [1, 4, 1, 3, 3, 2, 4, 2, 2, 2, 2, 2, 1, 3, 4, 4, 3, 3, 3, 4, 4, 3, 0, 3, 3, 0, 1, 3, 2, 3, 2, 0, 3, 3, 1, 2, 4, 1, 4, 2, 4, 3, 2, 2, 0, 0, 4, 3, 0, 3, 4, 3, 4, 0, 0, 3, 3, 1, 3, 2, 0, 4, 0, 3, 4, 1, 1, 4, 4, 3, 2, 1, 2, 3, 0, 1, 1, 1, 1, 0, 3, 2, 0, 1, 0, 0, 4, 2, 3, 4, 0, 1, 2, 3, 4, 2, 2, 2, 4, 2, 3, 4, 2, 3, 2, 4, 4, 1, 2, 4, 2, 2, 3, 4, 0, 0, 0, 4, 4, 1, 4, 2, 2, 1, 0, 3, 1, 1, 1, 4, 1, 4, 2, 2, 4, 4, 4, 3, 0, 4, 0, 0, 1, 2, 1, 4, 3, 1, 2, 3, 4, 1, 3, 3, 4, 1, 3, 1, 0, 2, 2, 0, 2, 3, 4, 2, 2, 4, 3, 3, 0, 1, 4, 2, 2, 2, 4, 3, 4, 0, 2, 1, 4, 1, 1, 2, 2, 4, 1, 1, 2, 3, 4, 2, 1, 0, 3, 4, 1, 1, 4, 3, 2, 2, 0, 2, 1, 2, 3, 2, 3, 2, 2, 3, 4, 2, 0, 1, 3, 4, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 3, 3, 2, 2, 3, 2, 3, 4, 1, 1, 0, 2, 2, 1, 2, 0, 4, 3, 2, 0, 3, 3, 1, 4, 2, 4, 1, 3, 4, 0, 3, 1, 1, 1, 3, 4, 4, 2, 4, 2, 4, 1, 1, 2, 1, 3, 0, 3, 0, 3, 4, 2, 1, 1, 1, 3, 4, 3, 4, 1, 0, 2, 4, 4, 4, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 3, 2, 0, 1, 0, 2, 4, 3, 1, 1, 4, 1] pubkeycol881 = [3, 0, 4, 4, 0, 3, 3, 0, 1, 1, 4, 0, 2, 3, 2, 4, 2, 4, 0, 2, 2, 1, 2, 4, 2, 0, 0, 3, 3, 2, 2, 4, 3, 0, 0, 4, 0, 1, 0, 3, 1, 4, 1, 0, 1, 0, 2, 3, 3, 2, 4, 1, 0, 2, 0, 4, 0, 1, 0, 0, 4, 3, 4, 4, 0, 4, 1, 2, 2, 4, 0, 0, 1, 1, 3, 4, 4, 2, 1, 0, 3, 3, 0, 4, 4, 1, 3, 1, 3, 2, 4, 2, 4, 3, 4, 3, 0, 0, 1, 3, 4, 3, 3, 4, 3, 2, 2, 3, 4, 4, 0, 4, 0, 1, 1, 0, 1, 1, 1, 0, 4, 1, 2, 2, 2, 3, 1, 2, 0, 1, 4, 0, 1, 2, 0, 2, 4, 3, 0, 0, 0, 4, 3, 2, 2, 3, 1, 0, 3, 2, 4, 3, 0, 4, 3, 4, 4, 1, 0, 3, 1, 3, 1, 3, 3, 0, 2, 3, 4, 2, 4, 4, 1, 2, 2, 3, 0, 2, 1, 0, 2, 2, 0, 3, 0, 0, 0, 2, 1, 3, 0, 3, 4, 2, 3, 1, 4, 1, 2, 2, 4, 1, 0, 1, 1, 1, 3, 1, 0, 1, 1, 4, 4, 1, 1, 2, 2, 4, 0, 0, 3, 3, 0, 3, 2, 1, 0, 3, 1, 4, 0, 3, 0, 1, 2, 0, 2, 0, 2, 3, 4, 2, 0, 2, 2, 0, 0, 2, 3, 3, 0, 2, 2, 3, 2, 1, 0, 2, 4, 2, 2, 1, 2, 0, 0, 3, 4, 2, 0, 0, 2, 4, 2, 2, 3, 2, 4, 3, 1, 3, 4, 1, 3, 0, 4, 0, 3, 0, 0, 1, 4, 0, 0, 0, 1, 2, 0, 4, 1, 4, 1, 0, 3, 1, 1, 1, 1, 0, 2, 4, 3, 1, 1, 4, 2, 3, 4, 2, 4, 2] pubkeycol882 = [0, 4, 1, 2, 0, 4, 3, 2, 0, 2, 0, 1, 1, 1, 2, 3, 2, 0, 2, 3, 2, 0, 0, 3, 3, 0, 1, 4, 2, 2, 2, 4, 1, 3, 2, 3, 4, 4, 3, 4, 0, 2, 3, 3, 2, 2, 1, 2, 4, 2, 3, 2, 2, 4, 3, 0, 1, 3, 4, 2, 0, 3, 0, 0, 3, 2, 2, 1, 0, 2, 1, 4, 0, 3, 3, 4, 2, 4, 2, 1, 3, 2, 0, 3, 2, 1, 3, 2, 4, 3, 3, 2, 0, 3, 4, 4, 1, 4, 2, 1, 2, 2, 4, 3, 4, 0, 3, 3, 2, 1, 0, 3, 1, 0, 1, 0, 4, 0, 1, 2, 0, 2, 1, 3, 2, 4, 1, 3, 1, 3, 3, 4, 3, 1, 4, 2, 0, 1, 2, 3, 1, 4, 2, 0, 1, 1, 3, 1, 0, 1, 3, 3, 3, 2, 2, 2, 4, 2, 3, 1, 1, 0, 3, 4, 4, 1, 4, 1, 3, 3, 2, 0, 4, 3, 1, 0, 3, 0, 0, 3, 2, 0, 0, 0, 4, 3, 3, 4, 0, 4, 4, 3, 2, 3, 1, 1, 3, 2, 1, 1, 4, 1, 0, 4, 0, 2, 0, 3, 4, 4, 0, 2, 3, 0, 1, 0, 0, 2, 1, 2, 2, 3, 3, 1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 2, 4, 3, 1, 2, 2, 3, 2, 0, 4, 2, 1, 1, 2, 1, 1, 3, 1, 0, 2, 3, 4, 0, 1, 0, 0, 0, 3, 1, 0, 0, 4, 2, 2, 0, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 1, 3, 4, 2, 3, 3, 0, 2, 4, 3, 2, 3, 3, 0, 1, 1, 3, 4, 2, 3, 0, 4, 4, 2, 4, 4, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 4, 1, 0, 0, 1, 0] pubkeycol883 = [1, 4, 1, 3, 4, 3, 1, 4, 2, 4, 1, 1, 4, 1, 4, 2, 0, 0, 3, 4, 4, 2, 1, 2, 0, 2, 3, 0, 2, 2, 2, 3, 3, 3, 2, 3, 1, 1, 0, 3, 3, 0, 1, 3, 1, 4, 0, 1, 4, 0, 0, 2, 4, 3, 4, 0, 3, 2, 2, 2, 3, 4, 4, 2, 1, 4, 4, 4, 0, 3, 1, 4, 1, 4, 1, 2, 1, 3, 3, 2, 3, 1, 1, 3, 2, 4, 1, 2, 2, 3, 0, 2, 4, 4, 3, 1, 3, 4, 1, 2, 4, 4, 1, 3, 1, 2, 3, 0, 2, 0, 1, 4, 0, 1, 3, 2, 1, 4, 0, 3, 2, 0, 0, 2, 2, 1, 0, 3, 3, 0, 3, 3, 4, 4, 0, 2, 0, 1, 2, 2, 0, 2, 3, 4, 3, 1, 4, 2, 4, 4, 1, 4, 0, 3, 2, 1, 4, 3, 3, 4, 2, 4, 0, 2, 3, 4, 1, 3, 0, 3, 1, 2, 2, 1, 2, 1, 0, 2, 4, 4, 0, 1, 0, 4, 1, 1, 1, 0, 3, 3, 2, 4, 1, 2, 0, 2, 2, 4, 1, 0, 1, 3, 4, 3, 4, 2, 3, 3, 4, 0, 3, 2, 3, 1, 2, 2, 2, 3, 4, 2, 0, 1, 1, 0, 0, 0, 4, 2, 0, 2, 0, 3, 3, 1, 1, 2, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 2, 2, 4, 0, 1, 1, 1, 2, 3, 4, 2, 4, 2, 1, 2, 2, 2, 3, 1, 4, 2, 3, 1, 4, 3, 1, 2, 3, 3, 3, 0, 3, 3, 2, 4, 4, 3, 0, 3, 2, 1, 1, 3, 1, 1, 0, 4, 0, 1, 0, 2, 4, 4, 0, 3, 0, 1, 1, 1, 0, 3, 3, 1, 4, 4, 0, 0, 1, 2, 2, 4, 0] pubkeycol884 = [2, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 2, 0, 3, 2, 4, 4, 3, 4, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 3, 3, 4, 2, 3, 3, 2, 3, 4, 2, 3, 0, 2, 0, 3, 2, 4, 1, 0, 1, 2, 2, 4, 4, 3, 3, 2, 2, 0, 2, 4, 0, 0, 1, 2, 4, 0, 0, 0, 4, 2, 2, 4, 1, 1, 4, 4, 4, 0, 1, 1, 2, 1, 3, 1, 3, 4, 4, 4, 1, 3, 0, 0, 3, 4, 2, 1, 3, 1, 3, 0, 4, 4, 3, 2, 4, 0, 0, 1, 0, 3, 4, 1, 4, 1, 4, 2, 2, 4, 2, 2, 0, 2, 0, 3, 2, 4, 0, 4, 2, 0, 1, 0, 3, 1, 1, 1, 3, 1, 2, 1, 3, 3, 0, 1, 1, 2, 4, 4, 3, 2, 3, 2, 2, 0, 1, 2, 3, 4, 0, 2, 4, 4, 3, 4, 1, 3, 0, 2, 1, 0, 3, 3, 0, 4, 3, 1, 3, 4, 4, 2, 3, 3, 4, 0, 4, 0, 0, 0, 0, 0, 1, 4, 0, 4, 3, 0, 3, 4, 2, 1, 0, 0, 1, 0, 3, 0, 2, 2, 3, 2, 3, 4, 0, 0, 4, 4, 4, 1, 2, 3, 4, 4, 4, 0, 2, 4, 4, 1, 3, 3, 0, 2, 3, 0, 1, 4, 3, 4, 4, 2, 2, 4, 2, 1, 1, 4, 3, 0, 0, 0, 1, 1, 4, 3, 4, 0, 4, 3, 2, 2, 3, 4, 2, 1, 4, 2, 0, 4, 2, 0, 4, 0, 2, 0, 0, 3, 1, 0, 4, 3, 1, 2, 4, 2, 4, 1, 0, 4, 3, 2, 2, 2, 3, 3, 2, 0, 2, 2, 4, 2, 2, 2, 0, 2, 4, 4, 1, 3, 1, 2, 2, 2, 2, 2, 4, 4, 0] pubkeycol885 = [2, 2, 1, 2, 2, 0, 4, 0, 0, 1, 0, 4, 3, 0, 1, 0, 3, 2, 3, 2, 1, 2, 2, 2, 4, 4, 0, 1, 2, 1, 4, 4, 1, 2, 4, 3, 4, 0, 4, 1, 4, 1, 3, 0, 1, 2, 3, 1, 2, 0, 4, 4, 2, 1, 1, 4, 1, 1, 4, 4, 0, 0, 4, 4, 4, 2, 3, 4, 4, 0, 3, 2, 4, 1, 2, 3, 1, 2, 1, 2, 4, 2, 4, 3, 4, 4, 4, 2, 1, 2, 1, 0, 0, 2, 0, 0, 3, 4, 0, 0, 0, 1, 0, 1, 0, 4, 3, 3, 2, 4, 4, 1, 3, 0, 3, 2, 3, 3, 1, 0, 3, 1, 1, 3, 2, 0, 0, 4, 2, 4, 1, 0, 0, 2, 2, 4, 4, 1, 4, 3, 2, 4, 3, 2, 4, 0, 0, 3, 0, 1, 2, 2, 1, 2, 4, 4, 4, 1, 0, 4, 3, 0, 1, 4, 4, 3, 1, 2, 2, 1, 2, 4, 4, 3, 3, 1, 3, 0, 4, 3, 4, 3, 3, 1, 1, 4, 2, 0, 2, 1, 1, 2, 3, 1, 1, 3, 4, 1, 2, 4, 3, 0, 0, 2, 0, 4, 1, 0, 2, 1, 2, 4, 0, 2, 1, 1, 4, 4, 1, 2, 2, 0, 2, 2, 4, 1, 4, 1, 2, 1, 2, 2, 1, 4, 0, 2, 1, 3, 4, 3, 3, 1, 2, 4, 4, 3, 1, 2, 2, 3, 0, 3, 1, 3, 3, 3, 4, 1, 4, 0, 0, 0, 3, 1, 4, 3, 0, 4, 2, 2, 2, 3, 0, 2, 3, 1, 2, 2, 3, 3, 4, 4, 2, 0, 4, 1, 2, 4, 0, 2, 3, 0, 4, 1, 0, 4, 1, 2, 1, 3, 0, 2, 0, 3, 1, 4, 3, 0, 2, 2, 2, 4, 1, 3, 1, 0, 4, 3, 3, 1] pubkeycol886 = [0, 3, 0, 1, 4, 2, 0, 0, 1, 0, 2, 2, 3, 0, 0, 3, 4, 4, 4, 3, 0, 2, 2, 3, 0, 0, 3, 4, 1, 3, 3, 2, 1, 4, 1, 0, 4, 4, 4, 3, 2, 1, 2, 4, 1, 0, 4, 0, 3, 1, 0, 4, 0, 2, 0, 3, 4, 0, 4, 2, 4, 4, 0, 2, 2, 3, 1, 4, 4, 1, 2, 4, 0, 1, 1, 1, 2, 2, 0, 0, 4, 2, 1, 1, 0, 4, 2, 0, 0, 3, 2, 4, 0, 3, 3, 4, 2, 3, 1, 4, 3, 4, 1, 2, 1, 1, 2, 0, 3, 3, 4, 0, 2, 2, 0, 3, 0, 3, 1, 1, 1, 0, 3, 3, 3, 1, 2, 4, 0, 3, 2, 4, 0, 2, 0, 3, 3, 1, 0, 3, 3, 0, 3, 2, 3, 4, 0, 4, 2, 2, 3, 0, 1, 0, 1, 1, 2, 4, 2, 4, 3, 2, 1, 3, 4, 2, 2, 1, 1, 3, 2, 0, 0, 2, 2, 1, 0, 4, 3, 0, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 2, 3, 3, 0, 2, 2, 1, 2, 4, 1, 3, 1, 1, 4, 1, 1, 3, 2, 3, 2, 2, 1, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 4, 0, 1, 1, 1, 1, 3, 4, 1, 3, 3, 0, 0, 4, 2, 1, 2, 3, 1, 2, 2, 3, 3, 3, 3, 4, 1, 3, 3, 3, 4, 2, 3, 4, 1, 4, 1, 0, 2, 1, 0, 0, 2, 4, 1, 0, 4, 3, 0, 0, 1, 0, 3, 3, 4, 1, 0, 2, 2, 3, 4, 4, 1, 4, 3, 2, 1, 2, 0, 2, 2, 4, 1, 2, 3, 2, 3, 1, 0, 3, 4, 1, 1, 0, 0, 1, 4, 1, 4, 4, 0, 2, 1, 2, 0, 3] pubkeycol887 = [3, 4, 2, 2, 0, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 3, 1, 0, 3, 1, 1, 2, 4, 2, 2, 0, 2, 1, 0, 4, 1, 2, 4, 2, 0, 4, 0, 3, 2, 2, 1, 2, 3, 4, 1, 4, 2, 4, 4, 2, 0, 0, 3, 1, 3, 1, 0, 1, 3, 2, 1, 0, 0, 2, 4, 2, 0, 2, 2, 1, 0, 1, 2, 0, 4, 1, 1, 2, 0, 1, 4, 2, 3, 2, 0, 1, 4, 2, 4, 2, 3, 3, 2, 2, 3, 1, 3, 4, 2, 1, 0, 2, 3, 4, 2, 4, 3, 4, 3, 0, 3, 2, 0, 2, 2, 0, 3, 2, 3, 0, 3, 2, 4, 3, 0, 0, 3, 3, 2, 0, 3, 2, 4, 1, 4, 3, 2, 2, 0, 0, 2, 1, 3, 2, 0, 3, 0, 2, 0, 4, 1, 1, 0, 4, 2, 1, 3, 0, 0, 3, 2, 3, 2, 1, 0, 4, 2, 1, 1, 4, 2, 2, 4, 3, 1, 1, 0, 2, 1, 1, 4, 1, 0, 4, 4, 2, 2, 2, 4, 1, 1, 1, 0, 1, 1, 0, 4, 0, 2, 0, 4, 4, 3, 1, 4, 1, 1, 3, 3, 1, 2, 2, 1, 1, 2, 1, 0, 1, 4, 0, 0, 2, 1, 1, 4, 0, 3, 1, 3, 2, 4, 1, 2, 2, 2, 4, 2, 3, 3, 3, 1, 2, 3, 1, 4, 4, 0, 1, 2, 4, 0, 4, 0, 0, 1, 3, 2, 4, 0, 0, 0, 4, 4, 2, 0, 1, 2, 0, 1, 2, 1, 4, 3, 1, 3, 4, 0, 4, 3, 1, 1, 1, 0, 3, 2, 2, 2, 4, 2, 1, 2, 4, 0, 0, 4, 4, 4, 0, 0, 3, 4, 0, 1, 1, 0, 2, 4, 3, 1, 4, 0, 2, 0, 1, 1, 2, 0, 1, 2, 3] pubkeycol888 = [3, 1, 0, 4, 3, 4, 2, 2, 3, 2, 2, 0, 4, 2, 4, 2, 1, 2, 1, 2, 1, 1, 3, 1, 3, 4, 0, 3, 2, 3, 2, 1, 2, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 3, 4, 2, 1, 1, 4, 2, 1, 4, 3, 4, 2, 3, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 4, 3, 0, 4, 1, 2, 3, 1, 2, 4, 3, 4, 1, 2, 4, 3, 2, 2, 3, 1, 3, 2, 4, 2, 4, 1, 0, 3, 2, 2, 4, 4, 2, 0, 0, 2, 0, 3, 3, 1, 0, 0, 2, 1, 0, 4, 1, 3, 2, 3, 0, 0, 1, 1, 0, 2, 4, 4, 3, 3, 1, 2, 3, 1, 3, 0, 2, 0, 1, 2, 0, 4, 1, 1, 2, 0, 0, 2, 3, 3, 0, 2, 0, 4, 1, 1, 1, 3, 1, 3, 4, 2, 3, 3, 3, 0, 1, 1, 2, 0, 2, 3, 1, 2, 2, 4, 1, 2, 4, 3, 1, 2, 2, 4, 2, 3, 3, 3, 4, 0, 1, 4, 3, 2, 1, 3, 2, 4, 1, 0, 3, 0, 2, 3, 3, 1, 3, 3, 3, 0, 4, 0, 1, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 4, 4, 4, 4, 3, 0, 3, 2, 4, 3, 1, 0, 4, 2, 0, 3, 0, 3, 1, 0, 3, 0, 2, 0, 1, 3, 2, 4, 3, 0, 4, 3, 2, 0, 4, 0, 3, 4, 2, 3, 2, 4, 2, 4, 2, 1, 4, 1, 0, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 0, 0, 0, 2, 2, 4, 4, 3, 2, 0, 0, 3, 2, 4, 0, 4, 1, 2, 2, 4, 2, 0, 1, 4, 3, 0, 3, 2, 1, 0, 0, 2, 2, 2, 4, 1, 4, 3, 0, 2, 4] pubkeycol889 = [3, 1, 3, 3, 2, 1, 0, 2, 4, 3, 4, 4, 4, 4, 0, 3, 1, 3, 3, 1, 0, 0, 1, 3, 2, 4, 0, 2, 1, 3, 0, 3, 1, 3, 4, 1, 2, 1, 0, 0, 2, 2, 3, 4, 1, 0, 3, 2, 2, 3, 4, 0, 2, 0, 2, 0, 4, 2, 1, 1, 2, 0, 1, 3, 1, 4, 1, 0, 3, 3, 1, 3, 3, 3, 1, 4, 3, 4, 0, 4, 4, 2, 4, 1, 0, 4, 1, 3, 3, 0, 3, 1, 0, 1, 3, 3, 3, 2, 4, 3, 2, 3, 0, 2, 2, 4, 4, 2, 3, 1, 1, 0, 2, 2, 1, 2, 3, 0, 1, 2, 4, 4, 0, 1, 2, 2, 2, 1, 0, 4, 4, 3, 1, 2, 2, 0, 2, 4, 1, 2, 2, 3, 1, 3, 4, 4, 4, 3, 3, 1, 4, 2, 4, 0, 2, 4, 0, 3, 1, 2, 2, 2, 1, 0, 3, 2, 1, 3, 1, 0, 3, 0, 0, 2, 0, 3, 2, 3, 2, 1, 2, 0, 0, 4, 0, 1, 4, 2, 0, 4, 4, 0, 2, 4, 0, 2, 3, 3, 2, 1, 1, 4, 2, 1, 1, 2, 3, 2, 1, 3, 2, 0, 4, 0, 3, 0, 1, 4, 0, 4, 3, 0, 2, 0, 4, 2, 0, 0, 0, 2, 1, 1, 3, 4, 4, 1, 4, 2, 2, 2, 2, 3, 0, 0, 4, 2, 4, 1, 4, 0, 3, 3, 0, 2, 3, 1, 1, 1, 4, 3, 1, 3, 2, 3, 1, 2, 4, 2, 2, 1, 2, 1, 0, 3, 2, 4, 2, 1, 4, 0, 0, 2, 1, 1, 4, 1, 1, 0, 4, 4, 4, 2, 3, 4, 4, 1, 1, 4, 1, 3, 4, 4, 1, 0, 2, 4, 2, 0, 4, 4, 0, 4, 3, 4, 3, 3, 1, 4, 2, 3] pubkeycol890 = [0, 0, 2, 0, 4, 3, 3, 2, 3, 2, 2, 0, 4, 2, 3, 4, 3, 2, 2, 4, 3, 3, 0, 2, 1, 3, 3, 2, 4, 3, 3, 1, 0, 2, 1, 2, 1, 0, 2, 4, 2, 4, 0, 1, 0, 3, 2, 2, 0, 0, 2, 3, 1, 2, 3, 4, 3, 1, 1, 0, 1, 4, 1, 4, 0, 0, 3, 3, 0, 4, 1, 0, 1, 4, 3, 2, 0, 3, 4, 4, 0, 0, 1, 0, 1, 2, 3, 1, 0, 2, 2, 4, 1, 2, 3, 1, 1, 1, 2, 4, 2, 2, 2, 1, 2, 0, 2, 4, 0, 0, 3, 0, 0, 0, 3, 1, 4, 0, 2, 3, 2, 3, 4, 3, 4, 1, 1, 3, 0, 1, 1, 3, 3, 1, 0, 0, 0, 3, 4, 1, 1, 1, 1, 2, 3, 3, 0, 3, 0, 1, 4, 3, 2, 4, 0, 2, 4, 1, 4, 0, 3, 4, 4, 4, 2, 1, 1, 4, 1, 2, 2, 0, 3, 4, 1, 1, 3, 3, 3, 4, 1, 4, 2, 2, 4, 3, 3, 4, 1, 1, 1, 3, 3, 1, 2, 3, 1, 4, 4, 0, 2, 3, 1, 1, 1, 3, 1, 2, 3, 0, 2, 0, 2, 2, 1, 4, 2, 2, 2, 2, 0, 3, 0, 4, 3, 2, 0, 1, 4, 1, 3, 0, 4, 0, 4, 3, 2, 3, 2, 0, 0, 1, 0, 0, 0, 3, 1, 4, 4, 1, 3, 0, 4, 1, 1, 4, 1, 4, 1, 0, 2, 1, 4, 1, 4, 4, 2, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 2, 3, 3, 0, 1, 0, 1, 3, 1, 4, 4, 4, 0, 0, 4, 0, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 3, 1, 2, 1, 2, 3, 2, 4, 3, 0, 4, 2, 4, 2] pubkeycol891 = [4, 2, 2, 1, 2, 4, 3, 1, 2, 1, 2, 1, 1, 3, 2, 2, 1, 1, 2, 4, 2, 2, 4, 0, 4, 1, 3, 0, 3, 0, 2, 3, 1, 4, 4, 4, 0, 1, 1, 3, 0, 4, 0, 2, 0, 4, 4, 0, 3, 4, 2, 4, 4, 0, 0, 4, 2, 3, 4, 1, 1, 1, 1, 0, 1, 4, 0, 1, 4, 3, 1, 2, 0, 3, 0, 0, 2, 0, 1, 4, 2, 0, 2, 2, 2, 1, 3, 4, 4, 2, 4, 4, 3, 1, 2, 3, 1, 4, 2, 2, 0, 1, 2, 3, 1, 0, 2, 1, 2, 4, 3, 1, 4, 0, 2, 0, 4, 0, 2, 4, 3, 1, 1, 3, 4, 0, 2, 2, 3, 1, 1, 3, 1, 0, 4, 1, 0, 4, 0, 3, 1, 0, 3, 3, 2, 0, 2, 3, 2, 3, 0, 1, 3, 1, 0, 1, 1, 1, 4, 1, 3, 3, 4, 4, 0, 4, 3, 3, 3, 1, 2, 3, 2, 1, 0, 2, 1, 2, 1, 0, 1, 4, 3, 0, 3, 3, 0, 3, 3, 2, 3, 3, 0, 2, 4, 0, 1, 4, 3, 2, 2, 1, 4, 4, 4, 0, 2, 0, 4, 2, 0, 2, 1, 4, 2, 3, 4, 2, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 1, 0, 3, 3, 2, 4, 2, 1, 2, 1, 0, 0, 0, 3, 3, 4, 2, 1, 3, 0, 4, 0, 4, 3, 2, 4, 1, 1, 2, 4, 4, 2, 3, 0, 2, 1, 4, 4, 1, 1, 3, 1, 1, 3, 0, 4, 2, 4, 1, 0, 1, 4, 0, 2, 4, 0, 1, 0, 1, 0, 2, 4, 3, 0, 0, 4, 4, 2, 3, 4, 1, 1, 3, 4, 2, 4, 0, 3, 3, 4, 1, 4, 3, 4, 2, 3, 1, 4, 0, 3, 0, 4] pubkeycol892 = [2, 4, 0, 2, 1, 2, 1, 1, 1, 3, 4, 2, 3, 3, 1, 1, 3, 3, 3, 3, 4, 4, 1, 4, 4, 1, 3, 2, 4, 3, 4, 1, 1, 2, 3, 0, 4, 1, 4, 4, 0, 2, 2, 4, 3, 3, 0, 1, 0, 4, 2, 3, 1, 3, 0, 1, 3, 4, 0, 3, 4, 0, 0, 2, 3, 4, 2, 0, 4, 3, 3, 0, 3, 2, 1, 0, 1, 0, 1, 1, 0, 0, 3, 3, 0, 4, 3, 3, 2, 1, 1, 3, 3, 2, 1, 0, 1, 2, 4, 3, 3, 4, 1, 4, 3, 4, 4, 4, 2, 1, 3, 3, 4, 2, 3, 2, 0, 3, 1, 0, 0, 1, 3, 3, 3, 3, 2, 4, 0, 2, 2, 3, 3, 3, 3, 0, 3, 1, 2, 1, 4, 1, 1, 1, 3, 1, 3, 3, 3, 1, 2, 1, 4, 2, 3, 0, 3, 2, 3, 4, 1, 2, 1, 0, 4, 4, 2, 4, 0, 3, 3, 1, 4, 4, 3, 4, 4, 0, 3, 2, 0, 2, 1, 4, 3, 1, 4, 0, 2, 0, 4, 0, 2, 3, 2, 1, 3, 0, 0, 4, 3, 3, 3, 1, 3, 2, 1, 1, 0, 4, 3, 1, 1, 1, 4, 4, 3, 3, 1, 0, 2, 0, 2, 3, 2, 4, 2, 2, 0, 1, 3, 1, 2, 1, 4, 1, 2, 4, 0, 1, 0, 3, 0, 3, 0, 4, 4, 4, 3, 1, 2, 2, 2, 2, 3, 3, 4, 4, 3, 4, 4, 4, 4, 1, 0, 3, 0, 0, 2, 2, 3, 4, 1, 4, 1, 0, 3, 4, 1, 2, 0, 1, 4, 4, 4, 2, 4, 3, 3, 0, 1, 1, 4, 3, 4, 4, 3, 2, 4, 4, 2, 3, 4, 2, 0, 0, 2, 2, 1, 3, 1, 3, 3, 1, 3, 4, 2, 1, 4, 2] pubkeycol893 = [4, 1, 2, 4, 2, 3, 2, 1, 0, 2, 3, 1, 4, 4, 1, 1, 2, 4, 1, 3, 3, 2, 1, 3, 3, 2, 1, 0, 0, 0, 4, 3, 4, 3, 3, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 3, 4, 1, 2, 2, 1, 4, 3, 1, 2, 4, 4, 0, 0, 1, 0, 4, 3, 2, 2, 4, 3, 0, 4, 2, 4, 2, 2, 4, 2, 4, 1, 1, 3, 4, 3, 1, 1, 3, 1, 3, 0, 0, 1, 4, 3, 0, 1, 4, 4, 0, 2, 2, 3, 4, 0, 4, 4, 4, 4, 2, 1, 3, 0, 2, 1, 1, 0, 1, 3, 3, 4, 4, 4, 4, 0, 3, 0, 2, 0, 1, 1, 0, 3, 3, 1, 1, 0, 2, 2, 1, 4, 2, 0, 3, 1, 2, 0, 2, 3, 3, 2, 1, 3, 3, 4, 1, 0, 2, 4, 0, 2, 3, 1, 0, 3, 4, 4, 3, 1, 4, 2, 0, 1, 0, 4, 2, 0, 2, 4, 3, 2, 2, 2, 3, 2, 4, 2, 2, 3, 2, 3, 4, 3, 1, 1, 0, 4, 1, 0, 2, 4, 2, 1, 2, 2, 0, 0, 2, 1, 4, 2, 0, 1, 4, 2, 1, 2, 1, 4, 0, 2, 4, 1, 3, 0, 3, 4, 3, 4, 0, 2, 4, 1, 4, 0, 2, 4, 4, 4, 2, 1, 4, 1, 0, 2, 4, 4, 2, 3, 0, 0, 1, 3, 4, 0, 0, 2, 0, 3, 4, 1, 1, 0, 1, 4, 4, 2, 3, 4, 4, 0, 3, 1, 4, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 3, 3, 3, 4, 4, 4, 2, 1, 0, 1, 1, 1, 3, 3, 3, 2, 4, 0, 1, 4, 4, 0, 0, 1, 0, 3, 0, 4, 4, 0, 3, 2, 3, 2, 4, 0] pubkeycol894 = [2, 4, 4, 2, 3, 2, 0, 2, 1, 4, 1, 3, 1, 3, 1, 0, 1, 3, 1, 0, 2, 2, 3, 3, 2, 3, 4, 1, 1, 0, 0, 3, 4, 3, 2, 2, 0, 0, 1, 3, 0, 3, 1, 3, 3, 0, 2, 2, 1, 1, 2, 4, 0, 2, 4, 1, 2, 1, 4, 0, 3, 3, 0, 1, 2, 0, 1, 4, 2, 4, 3, 1, 1, 0, 3, 1, 4, 1, 4, 0, 4, 0, 0, 3, 2, 1, 4, 4, 2, 1, 0, 4, 0, 2, 3, 2, 4, 3, 0, 2, 0, 4, 4, 2, 2, 4, 1, 0, 3, 3, 3, 1, 1, 1, 4, 4, 3, 0, 4, 1, 3, 1, 3, 2, 4, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 4, 4, 2, 3, 2, 4, 0, 2, 3, 2, 3, 2, 0, 0, 0, 0, 4, 1, 0, 3, 0, 2, 4, 0, 1, 4, 1, 4, 4, 1, 4, 1, 3, 1, 4, 4, 2, 4, 3, 3, 2, 2, 2, 1, 2, 1, 1, 4, 3, 0, 2, 2, 1, 4, 0, 4, 4, 2, 3, 4, 2, 0, 3, 4, 2, 0, 3, 3, 2, 1, 0, 1, 0, 0, 1, 4, 3, 3, 0, 3, 1, 4, 1, 3, 2, 2, 4, 4, 4, 0, 0, 0, 4, 1, 3, 4, 2, 0, 3, 0, 3, 1, 3, 4, 2, 1, 2, 1, 4, 2, 2, 0, 1, 0, 4, 0, 1, 3, 0, 3, 0, 1, 1, 1, 2, 4, 1, 4, 4, 0, 4, 4, 2, 4, 1, 2, 0, 1, 1, 4, 0, 3, 1, 4, 4, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 3, 4, 3, 1, 0, 1, 1, 4, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 4, 1, 4, 0, 1, 4, 3, 0] pubkeycol895 = [2, 1, 0, 3, 0, 3, 1, 4, 4, 3, 3, 0, 0, 4, 4, 2, 3, 1, 4, 3, 4, 2, 2, 3, 2, 3, 0, 4, 3, 2, 4, 0, 4, 0, 1, 0, 4, 1, 2, 4, 4, 4, 0, 4, 0, 2, 0, 1, 3, 4, 4, 3, 0, 3, 0, 0, 0, 4, 3, 4, 0, 0, 1, 4, 3, 3, 3, 1, 4, 2, 3, 3, 2, 4, 2, 3, 4, 1, 1, 0, 0, 1, 0, 1, 1, 1, 3, 2, 4, 3, 3, 4, 0, 1, 4, 1, 1, 4, 4, 0, 4, 4, 2, 2, 3, 4, 0, 2, 1, 3, 0, 1, 2, 4, 0, 1, 0, 1, 2, 0, 2, 0, 4, 0, 0, 4, 2, 0, 1, 0, 4, 4, 2, 3, 4, 2, 0, 0, 3, 2, 4, 4, 2, 0, 2, 2, 2, 4, 1, 3, 2, 3, 1, 3, 2, 4, 0, 4, 0, 1, 2, 4, 4, 3, 2, 1, 2, 1, 1, 2, 4, 0, 1, 2, 1, 2, 0, 3, 2, 2, 4, 3, 4, 2, 3, 0, 1, 2, 2, 0, 4, 0, 3, 2, 4, 1, 1, 2, 0, 2, 4, 2, 2, 4, 1, 0, 1, 0, 4, 2, 0, 2, 3, 1, 4, 0, 4, 4, 1, 1, 2, 3, 3, 3, 4, 3, 4, 2, 3, 1, 4, 4, 1, 1, 0, 4, 1, 1, 4, 4, 3, 0, 1, 1, 0, 1, 0, 0, 4, 1, 1, 1, 3, 1, 4, 1, 2, 1, 0, 2, 3, 1, 4, 1, 4, 3, 4, 1, 3, 3, 3, 4, 3, 1, 2, 0, 3, 2, 0, 2, 3, 2, 4, 0, 0, 2, 2, 4, 2, 0, 0, 1, 2, 4, 1, 1, 4, 4, 3, 4, 3, 4, 1, 2, 4, 4, 3, 1, 0, 0, 4, 3, 1, 0, 3, 3, 0, 2, 1, 4] pubkeycol896 = [4, 4, 4, 0, 2, 3, 1, 2, 3, 0, 3, 4, 1, 2, 3, 4, 0, 3, 3, 4, 4, 2, 0, 0, 3, 1, 1, 3, 3, 3, 1, 0, 4, 0, 4, 4, 4, 2, 0, 3, 2, 4, 3, 0, 3, 1, 4, 1, 4, 2, 4, 0, 0, 1, 1, 1, 2, 3, 3, 1, 2, 2, 3, 1, 1, 0, 3, 1, 2, 3, 1, 0, 1, 1, 2, 4, 2, 1, 0, 1, 3, 1, 0, 2, 1, 0, 0, 2, 1, 2, 3, 3, 1, 0, 1, 2, 3, 2, 4, 0, 0, 3, 1, 3, 3, 2, 0, 2, 1, 2, 2, 2, 4, 2, 4, 1, 3, 0, 2, 3, 4, 3, 4, 2, 1, 1, 3, 4, 4, 1, 1, 2, 1, 2, 2, 1, 0, 3, 0, 0, 3, 1, 4, 0, 4, 0, 2, 3, 3, 3, 2, 0, 2, 4, 3, 0, 4, 4, 3, 2, 1, 0, 3, 4, 4, 2, 3, 3, 1, 0, 2, 3, 4, 4, 0, 2, 2, 1, 1, 1, 4, 3, 2, 3, 3, 2, 4, 2, 3, 2, 1, 0, 2, 3, 2, 3, 3, 0, 4, 1, 4, 4, 2, 2, 1, 0, 0, 3, 1, 2, 4, 3, 2, 2, 0, 0, 3, 2, 0, 0, 1, 0, 3, 0, 2, 2, 2, 1, 1, 4, 1, 1, 4, 0, 3, 4, 2, 4, 1, 3, 3, 2, 1, 3, 0, 3, 1, 3, 0, 1, 1, 3, 4, 1, 3, 4, 4, 1, 0, 2, 0, 4, 4, 4, 1, 0, 3, 2, 4, 4, 0, 4, 1, 0, 3, 3, 1, 3, 1, 1, 3, 2, 3, 3, 0, 1, 2, 0, 0, 1, 3, 2, 3, 3, 1, 2, 3, 0, 3, 1, 1, 2, 1, 4, 3, 0, 1, 0, 1, 1, 0, 4, 4, 4, 0, 2, 2, 4, 0, 4] pubkeycol897 = [0, 2, 0, 4, 4, 3, 3, 0, 3, 2, 0, 3, 1, 0, 1, 1, 2, 2, 4, 0, 3, 4, 3, 4, 1, 4, 0, 2, 2, 2, 1, 4, 1, 1, 3, 3, 0, 0, 1, 2, 1, 3, 2, 1, 4, 3, 0, 3, 4, 3, 1, 2, 2, 3, 0, 4, 1, 4, 3, 2, 1, 1, 2, 3, 1, 3, 4, 3, 3, 2, 1, 0, 2, 1, 2, 4, 0, 1, 0, 4, 3, 3, 3, 1, 2, 3, 2, 0, 1, 4, 0, 1, 1, 1, 3, 4, 4, 1, 1, 3, 3, 2, 1, 0, 3, 4, 1, 0, 1, 2, 1, 2, 4, 3, 1, 3, 2, 4, 4, 3, 4, 4, 0, 2, 1, 1, 1, 3, 3, 4, 0, 1, 1, 0, 0, 3, 1, 2, 2, 4, 4, 3, 1, 0, 0, 3, 1, 3, 1, 2, 3, 0, 4, 2, 1, 3, 2, 1, 4, 0, 1, 1, 2, 1, 1, 4, 2, 4, 1, 2, 2, 2, 1, 3, 4, 1, 4, 4, 1, 2, 3, 3, 0, 1, 4, 2, 4, 1, 4, 4, 0, 3, 0, 4, 4, 3, 1, 3, 3, 4, 1, 1, 2, 2, 4, 0, 1, 3, 3, 0, 1, 4, 2, 3, 4, 1, 3, 4, 1, 0, 3, 1, 1, 1, 1, 1, 2, 3, 1, 0, 2, 2, 4, 2, 1, 1, 0, 4, 3, 2, 1, 4, 0, 4, 4, 2, 0, 1, 3, 0, 1, 0, 3, 4, 1, 0, 0, 1, 2, 1, 1, 4, 1, 4, 2, 1, 1, 4, 0, 0, 1, 4, 1, 2, 0, 0, 0, 3, 2, 3, 4, 1, 1, 3, 2, 2, 1, 2, 4, 1, 0, 3, 4, 1, 1, 2, 1, 2, 4, 3, 3, 0, 3, 1, 1, 2, 3, 0, 4, 2, 3, 0, 2, 2, 4, 4, 3, 1, 4, 2] pubkeycol898 = [2, 2, 2, 2, 2, 2, 0, 3, 4, 1, 1, 4, 0, 0, 2, 3, 3, 0, 3, 1, 3, 3, 0, 3, 2, 4, 3, 4, 2, 3, 2, 3, 1, 0, 3, 4, 3, 0, 3, 0, 4, 4, 0, 3, 4, 3, 0, 1, 0, 4, 3, 4, 2, 4, 0, 2, 1, 2, 2, 3, 4, 2, 4, 0, 0, 3, 1, 4, 4, 4, 4, 0, 2, 3, 1, 3, 0, 4, 2, 2, 2, 4, 1, 1, 4, 2, 2, 0, 3, 3, 2, 2, 1, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 2, 4, 2, 0, 0, 4, 2, 0, 4, 3, 3, 0, 1, 1, 1, 3, 3, 0, 3, 4, 1, 2, 4, 1, 4, 2, 2, 2, 1, 1, 2, 2, 3, 4, 3, 2, 3, 1, 4, 3, 0, 4, 2, 1, 0, 1, 4, 4, 2, 3, 1, 4, 0, 0, 4, 0, 3, 3, 3, 0, 4, 0, 3, 4, 3, 4, 4, 0, 0, 1, 0, 4, 0, 2, 4, 2, 1, 4, 1, 0, 2, 3, 3, 0, 3, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 3, 4, 4, 3, 2, 3, 3, 0, 2, 4, 4, 2, 1, 1, 4, 0, 2, 3, 4, 4, 1, 4, 0, 1, 0, 1, 0, 3, 1, 2, 4, 1, 4, 3, 4, 0, 4, 0, 1, 1, 1, 4, 2, 1, 2, 1, 0, 4, 1, 4, 3, 4, 4, 3, 0, 0, 3, 3, 3, 0, 1, 2, 3, 2, 4, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 3, 2, 1, 0, 1, 1, 1, 4, 3, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 3, 3, 1, 4, 0, 2, 4, 4, 3, 3, 1, 4, 4, 1] pubkeycol899 = [3, 1, 0, 1, 1, 2, 4, 0, 4, 1, 0, 3, 2, 3, 4, 3, 2, 4, 0, 0, 0, 4, 1, 3, 0, 4, 4, 1, 2, 1, 3, 1, 3, 4, 4, 3, 3, 3, 4, 2, 1, 0, 2, 1, 3, 3, 2, 4, 1, 4, 4, 3, 0, 1, 3, 3, 0, 2, 0, 1, 3, 3, 0, 2, 2, 0, 2, 2, 2, 0, 3, 0, 3, 3, 1, 1, 2, 2, 0, 0, 1, 3, 1, 3, 2, 4, 2, 3, 0, 0, 0, 2, 0, 3, 0, 3, 3, 1, 4, 4, 4, 1, 1, 3, 4, 4, 0, 1, 3, 4, 2, 3, 0, 0, 2, 3, 1, 4, 4, 4, 3, 1, 0, 0, 0, 4, 0, 0, 2, 3, 3, 1, 0, 1, 0, 3, 3, 0, 4, 3, 3, 0, 4, 4, 0, 1, 0, 1, 2, 2, 1, 2, 2, 4, 3, 0, 4, 4, 1, 3, 2, 3, 0, 0, 4, 3, 3, 1, 1, 4, 4, 3, 2, 2, 4, 0, 2, 4, 1, 3, 0, 1, 4, 2, 4, 1, 4, 2, 4, 0, 1, 3, 0, 4, 3, 3, 2, 1, 3, 3, 2, 4, 4, 2, 1, 0, 4, 0, 3, 0, 0, 1, 1, 1, 0, 2, 0, 4, 2, 0, 2, 2, 2, 1, 0, 2, 3, 2, 0, 0, 4, 3, 2, 2, 1, 4, 2, 1, 3, 1, 3, 1, 0, 1, 2, 2, 3, 4, 4, 0, 2, 0, 4, 2, 2, 0, 0, 2, 0, 1, 4, 2, 3, 0, 3, 0, 2, 4, 3, 0, 2, 1, 2, 0, 3, 2, 2, 1, 2, 0, 3, 1, 0, 4, 0, 4, 1, 0, 0, 0, 1, 2, 4, 4, 3, 1, 0, 4, 2, 1, 2, 2, 2, 1, 4, 0, 1, 0, 0, 4, 0, 2, 4, 2, 0, 0, 0, 0, 2, 4] pubkeycol900 = [1, 2, 2, 3, 3, 2, 4, 0, 4, 2, 3, 1, 0, 2, 4, 1, 3, 0, 3, 0, 1, 4, 3, 0, 0, 4, 1, 4, 1, 2, 2, 0, 0, 4, 4, 4, 3, 2, 1, 2, 1, 2, 0, 3, 0, 3, 1, 4, 3, 1, 2, 4, 0, 1, 1, 3, 3, 0, 4, 2, 1, 0, 2, 2, 4, 4, 4, 4, 4, 1, 1, 2, 3, 4, 2, 4, 4, 1, 4, 2, 1, 2, 4, 4, 0, 4, 2, 2, 0, 2, 1, 1, 3, 4, 0, 1, 1, 3, 3, 2, 0, 2, 3, 0, 3, 3, 0, 1, 3, 3, 4, 1, 1, 1, 3, 2, 3, 2, 2, 4, 4, 4, 2, 2, 1, 0, 4, 0, 4, 1, 0, 3, 4, 0, 3, 0, 3, 4, 2, 1, 2, 3, 2, 2, 4, 2, 4, 3, 0, 3, 3, 2, 0, 2, 4, 2, 4, 3, 2, 4, 1, 0, 2, 4, 0, 0, 1, 4, 3, 0, 4, 2, 2, 0, 2, 3, 2, 4, 0, 3, 2, 2, 2, 2, 4, 0, 0, 0, 0, 3, 1, 2, 1, 0, 2, 2, 2, 4, 3, 1, 3, 2, 4, 3, 3, 2, 2, 2, 1, 1, 1, 4, 3, 0, 1, 4, 4, 1, 0, 1, 4, 3, 0, 0, 4, 1, 1, 4, 3, 3, 2, 0, 0, 4, 4, 2, 1, 1, 4, 3, 3, 4, 4, 0, 3, 2, 2, 1, 0, 4, 1, 1, 0, 3, 4, 3, 4, 4, 2, 4, 1, 4, 4, 4, 3, 0, 1, 2, 2, 1, 4, 4, 2, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 0, 3, 0, 3, 2, 2, 1, 0, 0, 2, 0, 2, 4, 0, 0, 3, 2, 3, 0, 1, 1, 1, 0, 2, 0, 2, 0, 4, 2, 3, 1, 4, 4, 3, 3, 1] pubkeycol901 = [4, 4, 4, 1, 1, 2, 4, 0, 2, 3, 4, 0, 4, 1, 4, 0, 3, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 3, 2, 2, 4, 1, 4, 4, 0, 2, 4, 1, 2, 3, 0, 3, 0, 3, 3, 0, 2, 2, 2, 4, 0, 2, 2, 3, 4, 2, 2, 4, 1, 0, 1, 3, 4, 2, 0, 3, 2, 1, 4, 1, 2, 0, 1, 3, 2, 4, 3, 0, 4, 0, 0, 1, 4, 3, 4, 1, 3, 1, 3, 3, 2, 3, 2, 3, 0, 1, 2, 0, 4, 0, 2, 2, 1, 3, 3, 3, 3, 2, 1, 1, 0, 2, 1, 2, 2, 4, 2, 3, 0, 2, 3, 3, 1, 3, 4, 1, 0, 4, 2, 1, 3, 3, 3, 0, 3, 0, 3, 1, 4, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 1, 1, 4, 0, 2, 4, 0, 2, 3, 4, 2, 1, 4, 1, 0, 0, 0, 2, 4, 0, 4, 1, 2, 1, 1, 4, 0, 1, 0, 2, 4, 0, 2, 0, 3, 1, 4, 2, 1, 0, 1, 2, 3, 4, 0, 1, 4, 1, 1, 3, 1, 0, 1, 0, 1, 2, 4, 4, 1, 3, 2, 2, 1, 1, 2, 2, 3, 2, 1, 2, 3, 1, 0, 2, 3, 0, 3, 2, 0, 3, 3, 3, 0, 4, 1, 2, 3, 1, 2, 2, 2, 2, 2, 4, 3, 3, 0, 2, 0, 4, 2, 1, 2, 4, 0, 3, 0, 4, 4, 0, 3, 1, 0, 0, 3, 3, 1, 4, 4, 4, 2, 4, 3, 3, 4, 4, 0, 3, 1, 4, 0, 4, 4, 4, 2, 0, 4, 4, 4, 4, 0, 3, 2, 2, 4, 1, 0, 4, 2, 4, 1, 3, 2, 4, 4, 0, 4, 2, 2, 2] pubkeycol902 = [1, 2, 2, 1, 1, 3, 1, 1, 2, 4, 3, 0, 3, 3, 1, 0, 2, 3, 2, 3, 2, 2, 2, 3, 0, 2, 1, 1, 3, 3, 2, 3, 4, 2, 3, 0, 1, 3, 0, 4, 4, 3, 1, 4, 4, 4, 3, 4, 1, 2, 2, 0, 2, 4, 2, 1, 4, 2, 2, 2, 2, 1, 1, 1, 4, 3, 1, 1, 3, 4, 1, 0, 0, 3, 1, 4, 1, 0, 4, 3, 2, 0, 1, 0, 4, 2, 3, 0, 4, 4, 2, 3, 4, 2, 1, 3, 3, 0, 2, 1, 4, 1, 3, 2, 4, 3, 0, 4, 2, 3, 4, 1, 3, 4, 0, 3, 3, 3, 4, 0, 0, 3, 1, 0, 1, 0, 3, 1, 4, 3, 4, 4, 2, 0, 1, 4, 4, 0, 0, 0, 3, 2, 2, 0, 4, 1, 3, 1, 2, 4, 3, 1, 0, 2, 0, 3, 3, 1, 4, 4, 4, 0, 1, 3, 3, 4, 3, 2, 2, 3, 1, 0, 0, 3, 1, 4, 3, 4, 0, 2, 0, 1, 0, 1, 2, 2, 1, 4, 2, 4, 4, 0, 4, 3, 1, 1, 4, 4, 2, 3, 2, 2, 0, 1, 3, 1, 0, 2, 0, 1, 1, 2, 4, 0, 2, 1, 0, 2, 4, 4, 1, 1, 4, 3, 2, 2, 0, 2, 0, 1, 4, 4, 1, 0, 4, 3, 2, 0, 1, 2, 3, 2, 4, 4, 1, 3, 4, 3, 4, 3, 3, 4, 2, 2, 2, 0, 3, 0, 2, 1, 4, 2, 1, 1, 2, 4, 2, 2, 4, 0, 0, 1, 3, 1, 2, 2, 3, 4, 0, 0, 1, 0, 0, 1, 1, 3, 0, 1, 2, 0, 2, 1, 1, 4, 1, 4, 1, 1, 3, 3, 0, 0, 1, 1, 3, 4, 2, 1, 4, 1, 0, 1, 3, 4, 2, 0, 2, 3, 0, 2] pubkeycol903 = [1, 3, 4, 3, 0, 3, 1, 4, 0, 3, 3, 0, 0, 3, 4, 4, 4, 1, 4, 3, 1, 3, 4, 4, 0, 1, 3, 4, 4, 1, 2, 1, 1, 1, 0, 1, 2, 0, 3, 1, 1, 4, 3, 2, 0, 1, 3, 1, 1, 4, 2, 0, 4, 4, 2, 0, 4, 1, 1, 3, 4, 0, 0, 0, 0, 2, 0, 4, 0, 2, 0, 2, 0, 4, 1, 4, 2, 1, 3, 4, 3, 3, 3, 0, 4, 2, 4, 1, 4, 4, 0, 4, 3, 2, 4, 3, 3, 4, 4, 2, 1, 0, 3, 2, 1, 4, 2, 0, 1, 3, 3, 4, 3, 4, 1, 4, 2, 3, 3, 3, 0, 1, 1, 1, 3, 2, 1, 0, 2, 0, 0, 4, 2, 1, 2, 0, 3, 3, 1, 4, 2, 2, 3, 3, 1, 3, 2, 2, 2, 4, 1, 2, 1, 4, 3, 1, 0, 2, 0, 3, 0, 3, 1, 0, 4, 4, 1, 0, 2, 3, 0, 1, 4, 2, 0, 4, 0, 0, 3, 2, 0, 4, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 1, 2, 1, 3, 1, 3, 0, 1, 2, 0, 4, 1, 3, 3, 1, 4, 1, 3, 4, 3, 2, 0, 2, 4, 2, 0, 1, 1, 2, 0, 4, 0, 2, 0, 0, 0, 0, 3, 1, 1, 4, 4, 2, 2, 2, 4, 4, 1, 2, 4, 1, 3, 4, 3, 1, 1, 1, 0, 2, 1, 2, 4, 1, 2, 2, 0, 2, 3, 2, 0, 2, 1, 2, 3, 2, 4, 0, 2, 4, 3, 3, 0, 0, 0, 3, 3, 0, 0, 1, 4, 2, 2, 4, 0, 4, 3, 0, 2, 2, 1, 3, 0, 1, 4, 1, 0, 4, 2, 2, 3, 4, 3, 1, 1, 3, 0, 2, 1, 2, 3, 1, 1, 3, 0, 0, 0, 4] pubkeycol904 = [3, 0, 0, 2, 2, 1, 4, 1, 3, 3, 3, 2, 0, 4, 4, 2, 4, 1, 0, 1, 4, 3, 0, 2, 1, 3, 1, 0, 4, 4, 3, 0, 1, 1, 1, 4, 0, 1, 1, 1, 4, 3, 1, 1, 0, 1, 0, 4, 0, 3, 2, 1, 4, 4, 3, 2, 4, 3, 2, 0, 1, 3, 1, 3, 4, 3, 4, 2, 4, 2, 3, 1, 2, 2, 2, 1, 3, 4, 0, 1, 1, 2, 3, 0, 0, 3, 3, 1, 0, 2, 4, 1, 4, 1, 1, 4, 1, 1, 0, 3, 3, 4, 3, 0, 0, 0, 1, 3, 0, 3, 4, 1, 2, 3, 3, 4, 1, 1, 4, 2, 4, 4, 0, 3, 0, 0, 3, 1, 1, 3, 4, 0, 1, 3, 0, 2, 1, 0, 3, 0, 1, 3, 4, 1, 2, 3, 1, 4, 4, 2, 4, 2, 2, 1, 4, 3, 1, 4, 2, 3, 3, 1, 1, 2, 4, 1, 0, 2, 1, 3, 2, 0, 2, 2, 1, 2, 4, 0, 2, 2, 4, 3, 4, 4, 0, 3, 0, 0, 3, 1, 4, 4, 0, 2, 3, 2, 0, 3, 2, 4, 3, 1, 3, 4, 3, 3, 4, 3, 1, 2, 3, 0, 4, 3, 4, 3, 4, 1, 1, 4, 4, 3, 1, 0, 3, 1, 3, 3, 1, 1, 1, 1, 3, 4, 1, 3, 2, 2, 2, 1, 4, 3, 4, 4, 0, 1, 3, 2, 4, 4, 1, 4, 1, 0, 1, 1, 3, 1, 3, 1, 4, 0, 2, 1, 3, 3, 0, 1, 0, 2, 2, 0, 0, 4, 0, 1, 2, 1, 4, 4, 1, 3, 2, 2, 1, 4, 3, 0, 0, 0, 3, 1, 4, 1, 2, 3, 4, 4, 2, 0, 2, 1, 3, 4, 3, 3, 0, 4, 2, 3, 2, 2, 2, 3, 1, 4, 1, 2, 3, 3] pubkeycol905 = [3, 4, 3, 0, 1, 1, 2, 1, 3, 2, 0, 1, 4, 2, 1, 2, 2, 4, 3, 2, 3, 3, 0, 4, 1, 1, 0, 1, 4, 2, 4, 3, 3, 3, 0, 0, 1, 4, 3, 1, 4, 3, 1, 3, 2, 0, 0, 1, 2, 2, 4, 0, 3, 2, 0, 3, 1, 1, 0, 2, 2, 2, 1, 3, 2, 3, 0, 0, 0, 0, 0, 2, 3, 0, 2, 2, 4, 0, 3, 3, 1, 3, 0, 3, 0, 3, 2, 1, 2, 3, 1, 1, 3, 0, 0, 0, 3, 2, 0, 0, 2, 1, 4, 4, 3, 1, 1, 4, 4, 0, 3, 0, 2, 3, 0, 3, 2, 2, 3, 2, 4, 3, 3, 1, 0, 1, 3, 2, 2, 4, 2, 3, 3, 2, 1, 2, 3, 2, 1, 3, 4, 4, 0, 3, 0, 0, 1, 1, 4, 0, 2, 3, 0, 3, 3, 4, 2, 0, 4, 4, 2, 4, 3, 0, 4, 3, 0, 1, 2, 2, 3, 3, 1, 0, 0, 1, 1, 2, 3, 1, 4, 0, 2, 1, 0, 2, 0, 3, 1, 2, 1, 1, 0, 0, 0, 4, 1, 0, 0, 4, 1, 1, 0, 2, 4, 3, 3, 2, 1, 0, 3, 4, 4, 4, 0, 2, 1, 4, 0, 0, 3, 1, 2, 4, 0, 3, 1, 1, 2, 1, 4, 4, 4, 3, 2, 1, 0, 4, 2, 1, 1, 4, 2, 3, 1, 1, 3, 2, 1, 1, 2, 4, 1, 1, 3, 4, 2, 1, 4, 3, 4, 3, 4, 0, 3, 4, 0, 3, 1, 1, 0, 1, 3, 2, 4, 0, 2, 1, 1, 2, 1, 3, 1, 1, 4, 2, 4, 1, 1, 3, 0, 1, 4, 0, 1, 3, 0, 3, 4, 2, 3, 3, 0, 1, 1, 0, 4, 3, 1, 0, 4, 4, 4, 2, 1, 4, 3, 2, 2, 2] pubkeycol906 = [3, 4, 4, 0, 0, 0, 2, 4, 3, 4, 2, 0, 3, 4, 4, 1, 0, 3, 2, 0, 3, 3, 4, 3, 3, 0, 2, 3, 4, 2, 0, 3, 4, 0, 0, 4, 2, 3, 0, 3, 4, 3, 4, 4, 2, 1, 2, 2, 0, 0, 0, 0, 3, 4, 3, 3, 0, 2, 4, 1, 4, 0, 2, 2, 3, 3, 2, 2, 1, 0, 4, 3, 4, 0, 3, 2, 2, 1, 2, 3, 1, 3, 4, 3, 1, 0, 1, 2, 3, 0, 2, 0, 4, 1, 3, 0, 1, 3, 2, 3, 2, 3, 0, 3, 3, 3, 0, 2, 3, 1, 2, 0, 1, 3, 2, 0, 2, 3, 3, 2, 4, 3, 2, 0, 2, 4, 1, 3, 4, 4, 1, 4, 1, 1, 2, 3, 3, 4, 3, 1, 2, 2, 2, 0, 2, 3, 1, 0, 1, 2, 2, 2, 4, 1, 1, 2, 4, 4, 2, 4, 3, 3, 1, 3, 1, 1, 3, 1, 0, 3, 0, 1, 4, 4, 2, 2, 1, 3, 4, 3, 1, 4, 1, 1, 1, 3, 0, 1, 4, 1, 3, 2, 4, 3, 1, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 4, 0, 0, 2, 2, 4, 1, 2, 3, 0, 1, 4, 3, 0, 2, 1, 3, 4, 3, 2, 2, 0, 0, 2, 0, 3, 2, 4, 2, 2, 4, 1, 3, 1, 4, 3, 1, 2, 2, 1, 2, 0, 1, 4, 1, 2, 3, 0, 3, 3, 0, 0, 4, 4, 2, 3, 2, 2, 4, 2, 0, 1, 1, 4, 1, 3, 3, 1, 0, 2, 3, 3, 3, 4, 3, 1, 1, 2, 0, 1, 3, 4, 1, 0, 3, 3, 1, 3, 1, 1, 0, 2, 3, 3, 2, 1, 2, 4, 1, 0, 1, 2, 1, 4, 0, 4, 3, 2, 3, 0, 3, 4, 2, 2, 1] pubkeycol907 = [0, 0, 1, 3, 2, 2, 1, 4, 0, 3, 1, 4, 0, 0, 1, 1, 3, 0, 2, 2, 1, 4, 2, 0, 1, 0, 4, 1, 4, 1, 3, 1, 1, 1, 4, 2, 1, 4, 0, 4, 1, 2, 4, 2, 2, 1, 0, 3, 0, 1, 4, 1, 1, 2, 0, 2, 0, 4, 2, 3, 1, 0, 4, 1, 0, 2, 1, 3, 2, 1, 1, 2, 1, 0, 4, 1, 3, 4, 2, 3, 2, 4, 4, 2, 1, 0, 0, 1, 3, 1, 3, 3, 3, 3, 0, 2, 3, 2, 0, 4, 3, 0, 0, 1, 4, 1, 4, 1, 0, 3, 4, 4, 1, 4, 3, 2, 3, 3, 0, 2, 4, 1, 3, 0, 0, 3, 2, 4, 2, 2, 2, 0, 2, 3, 4, 2, 4, 4, 1, 2, 4, 0, 1, 3, 1, 4, 2, 4, 2, 1, 3, 0, 0, 4, 2, 2, 4, 3, 2, 1, 4, 1, 1, 0, 3, 2, 2, 0, 4, 2, 3, 4, 2, 0, 1, 0, 4, 1, 4, 3, 3, 3, 0, 2, 1, 4, 0, 3, 0, 1, 1, 0, 3, 0, 4, 3, 3, 3, 0, 0, 4, 1, 1, 1, 2, 0, 3, 3, 3, 4, 0, 3, 1, 1, 1, 0, 2, 0, 2, 3, 4, 1, 2, 0, 0, 0, 4, 4, 1, 0, 3, 3, 2, 0, 2, 3, 1, 3, 0, 1, 4, 4, 0, 0, 4, 1, 2, 1, 4, 1, 0, 3, 4, 2, 2, 1, 4, 3, 2, 4, 0, 4, 2, 4, 0, 1, 0, 3, 4, 2, 2, 0, 0, 4, 3, 0, 1, 1, 4, 0, 2, 3, 2, 4, 0, 2, 2, 1, 2, 2, 1, 2, 3, 2, 4, 3, 3, 3, 1, 3, 0, 0, 4, 3, 0, 2, 1, 0, 0, 2, 0, 0, 4, 3, 3, 4, 3, 1, 2, 4] pubkeycol908 = [1, 1, 1, 3, 3, 4, 1, 1, 2, 0, 4, 4, 4, 3, 4, 2, 3, 4, 3, 0, 3, 2, 3, 0, 4, 2, 4, 1, 1, 4, 4, 1, 0, 1, 1, 4, 1, 1, 2, 0, 4, 0, 0, 0, 2, 0, 0, 3, 4, 3, 4, 4, 2, 3, 1, 3, 2, 1, 3, 3, 4, 3, 1, 0, 2, 3, 2, 3, 0, 4, 4, 3, 4, 0, 2, 0, 4, 1, 2, 3, 1, 4, 1, 4, 4, 1, 2, 0, 4, 3, 0, 0, 4, 1, 1, 3, 2, 1, 0, 0, 2, 4, 0, 3, 2, 4, 4, 0, 2, 3, 2, 4, 1, 0, 2, 2, 2, 2, 1, 2, 4, 3, 0, 2, 1, 0, 2, 2, 0, 4, 1, 4, 2, 2, 0, 2, 4, 0, 0, 2, 4, 2, 4, 1, 3, 3, 2, 2, 2, 3, 1, 3, 1, 0, 4, 0, 0, 3, 4, 2, 2, 0, 4, 1, 1, 2, 1, 2, 3, 2, 3, 0, 3, 3, 4, 4, 1, 3, 4, 1, 4, 0, 1, 0, 3, 4, 0, 0, 4, 4, 4, 4, 0, 2, 4, 4, 2, 3, 3, 3, 3, 4, 2, 0, 1, 1, 3, 4, 3, 3, 1, 3, 2, 4, 4, 2, 2, 1, 0, 4, 1, 0, 4, 0, 3, 0, 0, 0, 1, 3, 3, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 3, 4, 1, 4, 3, 2, 1, 0, 1, 1, 4, 2, 0, 2, 3, 1, 4, 2, 2, 4, 2, 3, 4, 3, 4, 3, 0, 4, 0, 2, 4, 0, 2, 2, 1, 3, 1, 4, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 1, 2, 2, 0, 4, 1, 2, 3, 4, 0, 1, 3, 1, 0, 3, 3, 1, 4, 1, 1, 1, 0, 4, 2, 1, 2, 3, 0, 0, 4] pubkeycol909 = [4, 1, 0, 3, 4, 2, 0, 3, 2, 1, 3, 2, 3, 4, 4, 0, 4, 1, 0, 3, 1, 1, 3, 4, 4, 1, 1, 3, 4, 4, 4, 3, 1, 4, 1, 1, 2, 1, 3, 2, 4, 2, 2, 2, 0, 1, 4, 1, 1, 3, 3, 1, 4, 1, 3, 4, 3, 2, 2, 2, 1, 2, 4, 2, 0, 1, 1, 3, 4, 4, 1, 0, 4, 2, 2, 4, 2, 1, 4, 2, 1, 4, 1, 0, 4, 2, 3, 3, 3, 3, 0, 4, 4, 0, 3, 0, 0, 0, 2, 4, 0, 0, 1, 3, 1, 1, 1, 4, 3, 4, 2, 1, 3, 1, 3, 4, 3, 3, 4, 2, 1, 3, 3, 3, 3, 3, 1, 3, 0, 4, 0, 0, 2, 1, 0, 3, 2, 4, 4, 0, 0, 4, 3, 4, 0, 3, 1, 4, 4, 0, 2, 2, 2, 4, 2, 3, 4, 1, 3, 1, 3, 3, 3, 4, 3, 4, 1, 1, 0, 3, 3, 3, 0, 4, 3, 3, 0, 2, 3, 4, 4, 1, 1, 3, 4, 3, 4, 4, 2, 0, 3, 1, 3, 3, 0, 1, 4, 2, 4, 4, 1, 2, 4, 1, 1, 3, 4, 3, 3, 1, 1, 2, 4, 3, 1, 3, 1, 4, 1, 1, 3, 4, 1, 4, 2, 0, 2, 0, 1, 0, 3, 2, 2, 1, 0, 0, 4, 4, 4, 0, 3, 4, 0, 4, 3, 4, 0, 3, 4, 2, 3, 3, 4, 0, 0, 3, 4, 4, 1, 2, 4, 2, 4, 4, 0, 3, 3, 3, 1, 3, 2, 1, 0, 0, 4, 1, 0, 1, 3, 1, 2, 4, 3, 2, 3, 2, 3, 2, 1, 0, 1, 4, 2, 2, 4, 0, 2, 4, 2, 4, 0, 4, 3, 2, 3, 3, 3, 0, 1, 2, 4, 2, 3, 1, 4, 2, 3, 2, 1, 4] pubkeycol910 = [2, 4, 2, 0, 0, 4, 2, 3, 1, 1, 3, 2, 2, 3, 4, 0, 3, 3, 0, 4, 0, 2, 4, 4, 1, 4, 2, 4, 2, 3, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 4, 2, 2, 4, 3, 4, 0, 4, 1, 4, 0, 4, 0, 3, 1, 4, 1, 2, 0, 3, 0, 0, 1, 2, 3, 1, 4, 0, 3, 3, 1, 0, 3, 1, 3, 0, 3, 2, 0, 4, 3, 0, 0, 3, 1, 0, 0, 0, 1, 2, 3, 3, 1, 4, 3, 3, 0, 2, 4, 2, 3, 2, 2, 3, 2, 4, 2, 2, 0, 1, 4, 0, 3, 3, 2, 0, 2, 2, 0, 4, 3, 0, 1, 0, 2, 4, 0, 2, 2, 4, 2, 1, 1, 0, 0, 4, 1, 1, 2, 1, 2, 1, 2, 3, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 3, 4, 0, 3, 2, 3, 1, 2, 0, 4, 1, 0, 3, 3, 1, 3, 0, 2, 3, 4, 1, 2, 4, 2, 0, 3, 2, 4, 0, 3, 0, 2, 2, 2, 4, 1, 0, 2, 2, 1, 1, 1, 0, 3, 0, 3, 3, 1, 2, 0, 3, 2, 0, 0, 2, 0, 1, 4, 2, 0, 1, 4, 1, 2, 2, 4, 1, 4, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 3, 4, 3, 1, 3, 4, 1, 0, 4, 3, 3, 2, 4, 3, 1, 2, 4, 1, 1, 0, 1, 0, 3, 2, 1, 0, 0, 2, 0, 1, 4, 2, 3, 4, 1, 4, 3, 1, 3, 3, 4, 2, 4, 3, 2, 4, 4, 0, 3, 0, 4, 4, 1, 2, 4, 2, 1, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 0, 0, 3, 1, 3, 2, 2, 4, 4, 0, 1, 3, 0, 0, 0, 1] pubkeycol911 = [0, 2, 4, 0, 1, 1, 1, 0, 1, 3, 2, 2, 2, 1, 4, 1, 0, 1, 2, 3, 0, 2, 3, 1, 3, 1, 1, 4, 4, 2, 1, 1, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 1, 2, 4, 4, 0, 1, 2, 3, 0, 2, 2, 3, 2, 1, 3, 0, 2, 4, 4, 2, 2, 0, 2, 0, 4, 4, 4, 2, 3, 4, 0, 4, 1, 2, 3, 2, 4, 4, 3, 1, 2, 0, 3, 1, 0, 1, 3, 2, 1, 0, 4, 0, 2, 0, 3, 3, 1, 0, 0, 4, 1, 0, 0, 0, 0, 1, 3, 0, 2, 2, 4, 2, 1, 1, 0, 1, 1, 2, 1, 4, 1, 1, 4, 4, 3, 1, 3, 2, 2, 1, 2, 2, 3, 0, 4, 0, 0, 2, 3, 0, 4, 4, 4, 2, 2, 2, 3, 0, 4, 0, 0, 0, 1, 1, 0, 1, 1, 4, 0, 2, 2, 3, 3, 3, 2, 3, 3, 1, 3, 3, 2, 0, 3, 3, 3, 2, 3, 4, 3, 0, 1, 4, 4, 1, 2, 1, 2, 3, 1, 2, 2, 3, 4, 4, 1, 0, 1, 4, 3, 0, 4, 1, 4, 4, 2, 3, 4, 4, 2, 0, 3, 4, 1, 4, 1, 0, 0, 1, 0, 3, 0, 2, 2, 2, 3, 2, 2, 3, 1, 3, 0, 3, 4, 2, 0, 0, 4, 2, 3, 2, 3, 0, 2, 1, 0, 1, 3, 3, 1, 0, 3, 1, 1, 4, 4, 2, 2, 3, 2, 1, 0, 1, 1, 2, 4, 1, 3, 0, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 4, 3, 4, 0, 4, 0, 3, 1, 0, 4, 2, 2, 2, 0, 3, 0, 4, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 3, 1, 2, 4, 3, 1, 3, 4] pubkeycol912 = [2, 1, 2, 0, 2, 3, 3, 0, 4, 2, 3, 0, 4, 4, 3, 1, 2, 3, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 4, 3, 2, 0, 3, 0, 1, 3, 2, 4, 1, 1, 0, 3, 3, 1, 3, 1, 2, 3, 0, 0, 4, 2, 0, 4, 4, 2, 0, 1, 0, 3, 0, 1, 4, 2, 0, 4, 4, 0, 0, 0, 4, 0, 4, 1, 0, 0, 1, 2, 4, 4, 3, 1, 4, 4, 4, 0, 4, 2, 4, 3, 3, 2, 1, 2, 4, 0, 4, 1, 2, 4, 2, 2, 4, 3, 0, 3, 2, 2, 0, 3, 0, 4, 3, 3, 1, 0, 2, 4, 4, 4, 1, 2, 2, 1, 4, 1, 4, 0, 3, 3, 3, 1, 0, 2, 3, 4, 3, 1, 0, 4, 4, 1, 3, 4, 2, 3, 0, 4, 2, 3, 1, 1, 2, 3, 1, 4, 0, 3, 4, 1, 2, 0, 1, 0, 2, 1, 3, 3, 0, 1, 0, 2, 0, 3, 2, 2, 1, 4, 4, 2, 3, 3, 4, 4, 3, 3, 1, 0, 3, 1, 2, 4, 3, 4, 2, 1, 2, 3, 1, 1, 4, 4, 3, 1, 1, 3, 0, 4, 0, 2, 4, 0, 1, 1, 2, 4, 3, 1, 0, 0, 0, 1, 3, 2, 1, 1, 3, 2, 1, 2, 3, 0, 0, 0, 3, 3, 1, 0, 4, 3, 3, 4, 3, 4, 2, 0, 0, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 0, 1, 0, 2, 3, 4, 0, 1, 1, 4, 3, 1, 3, 3, 2, 0, 3, 1, 0, 1, 0, 2, 4, 0, 2, 3, 2, 4, 0, 0, 0, 1, 4, 1, 1, 2, 0, 2, 2, 3, 0, 2, 0, 3, 2, 0, 4, 3, 1, 2, 0, 3, 1, 2, 2, 2, 4, 3] pubkeycol913 = [2, 0, 1, 0, 1, 2, 4, 0, 2, 4, 1, 0, 2, 0, 4, 0, 3, 0, 3, 4, 4, 4, 0, 0, 4, 2, 4, 2, 4, 2, 1, 4, 0, 0, 1, 3, 4, 0, 1, 3, 0, 2, 4, 0, 4, 4, 1, 2, 1, 4, 1, 4, 3, 2, 3, 3, 3, 1, 4, 4, 4, 1, 1, 2, 1, 0, 3, 4, 1, 1, 2, 2, 3, 1, 3, 2, 4, 0, 1, 4, 4, 2, 4, 3, 2, 0, 3, 1, 1, 0, 1, 0, 4, 0, 1, 3, 2, 1, 3, 3, 0, 3, 1, 4, 1, 2, 0, 2, 3, 0, 1, 1, 0, 1, 1, 0, 3, 4, 2, 2, 3, 1, 1, 1, 2, 0, 4, 0, 0, 4, 2, 0, 1, 4, 0, 3, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 4, 0, 3, 3, 3, 3, 2, 2, 2, 4, 3, 3, 1, 3, 0, 0, 2, 4, 0, 2, 4, 0, 0, 0, 4, 4, 1, 4, 0, 0, 3, 4, 3, 2, 4, 2, 3, 0, 1, 3, 2, 0, 2, 4, 4, 4, 2, 1, 1, 1, 0, 4, 0, 2, 4, 4, 2, 0, 3, 4, 2, 3, 0, 4, 2, 4, 2, 3, 4, 1, 3, 3, 2, 3, 2, 4, 0, 0, 2, 2, 3, 2, 0, 2, 1, 2, 2, 0, 4, 4, 1, 2, 1, 2, 2, 4, 3, 2, 1, 0, 1, 1, 1, 1, 1, 3, 0, 2, 2, 0, 3, 2, 3, 0, 4, 2, 0, 2, 3, 4, 4, 4, 3, 0, 3, 0, 0, 1, 0, 4, 2, 3, 1, 3, 2, 2, 3, 0, 4, 0, 1, 2, 0, 2, 2, 1, 3, 4, 1, 2, 1, 1, 3, 3, 4, 3, 1, 2, 4, 3, 2, 0, 1, 2, 1, 1, 4, 1, 4, 0, 0, 4, 0] pubkeycol914 = [2, 3, 0, 3, 1, 0, 3, 2, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 0, 1, 0, 3, 4, 1, 3, 4, 1, 1, 1, 3, 1, 1, 1, 1, 3, 2, 2, 4, 2, 2, 1, 4, 2, 2, 1, 1, 2, 3, 3, 2, 2, 0, 2, 3, 2, 2, 2, 4, 3, 2, 2, 3, 3, 1, 0, 0, 3, 4, 0, 1, 2, 1, 4, 2, 2, 2, 4, 3, 4, 4, 4, 3, 4, 1, 0, 0, 1, 0, 1, 3, 1, 2, 2, 3, 4, 3, 1, 2, 2, 0, 2, 3, 1, 0, 2, 2, 4, 3, 1, 3, 0, 4, 2, 2, 4, 2, 3, 3, 0, 2, 1, 1, 0, 1, 3, 3, 0, 3, 2, 2, 2, 0, 0, 2, 3, 0, 1, 0, 2, 2, 1, 4, 3, 3, 4, 3, 3, 3, 3, 0, 2, 3, 0, 1, 4, 4, 4, 2, 3, 0, 1, 2, 1, 4, 3, 0, 4, 1, 3, 0, 4, 4, 4, 2, 4, 2, 3, 1, 0, 0, 2, 4, 1, 4, 1, 0, 1, 1, 1, 4, 0, 3, 3, 0, 0, 0, 0, 4, 0, 0, 0, 2, 3, 4, 3, 0, 4, 2, 0, 4, 3, 2, 4, 1, 4, 4, 3, 3, 4, 3, 1, 4, 0, 3, 4, 4, 4, 3, 2, 4, 1, 2, 0, 4, 4, 0, 3, 3, 0, 0, 0, 1, 4, 2, 1, 3, 3, 3, 3, 3, 4, 1, 1, 0, 4, 2, 4, 3, 3, 4, 0, 1, 2, 0, 0, 4, 2, 4, 0, 4, 0, 1, 2, 2, 4, 2, 4, 3, 0, 0, 2, 4, 3, 0, 4, 1, 0, 3, 0, 4, 4, 4, 0, 3, 1, 2, 0, 0, 1, 4, 2, 3, 0, 0, 4, 1, 2, 4, 3, 1, 4, 1, 0, 0, 0, 4, 4, 3, 4, 0] pubkeycol915 = [1, 0, 4, 2, 1, 0, 2, 0, 2, 3, 0, 2, 0, 2, 0, 0, 3, 2, 0, 3, 1, 2, 4, 0, 1, 1, 2, 2, 1, 3, 1, 3, 3, 2, 2, 3, 0, 3, 4, 3, 2, 1, 0, 4, 2, 3, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 3, 1, 0, 3, 4, 4, 1, 1, 1, 0, 4, 3, 4, 2, 4, 1, 0, 0, 2, 3, 0, 4, 2, 1, 3, 2, 3, 1, 0, 2, 0, 4, 3, 3, 1, 4, 0, 3, 2, 1, 0, 4, 3, 0, 1, 3, 2, 2, 4, 4, 2, 0, 1, 0, 4, 2, 4, 2, 2, 1, 3, 3, 4, 4, 3, 1, 2, 4, 3, 4, 0, 3, 1, 1, 4, 1, 1, 2, 0, 2, 2, 3, 1, 0, 1, 2, 0, 1, 4, 3, 3, 1, 4, 2, 4, 0, 3, 0, 4, 4, 1, 2, 3, 3, 3, 4, 3, 3, 1, 0, 1, 1, 4, 4, 0, 0, 0, 2, 0, 1, 0, 3, 0, 1, 1, 2, 4, 4, 3, 3, 0, 4, 2, 3, 2, 4, 3, 2, 3, 4, 1, 4, 3, 2, 1, 3, 4, 4, 1, 1, 1, 3, 4, 1, 2, 4, 1, 3, 2, 1, 3, 0, 4, 2, 4, 0, 0, 1, 3, 2, 0, 1, 0, 4, 1, 0, 3, 4, 0, 0, 1, 1, 0, 0, 3, 1, 2, 0, 0, 2, 3, 1, 4, 3, 3, 4, 0, 3, 2, 3, 1, 0, 1, 1, 3, 2, 4, 3, 4, 1, 3, 2, 2, 1, 4, 0, 3, 2, 0, 0, 4, 4, 0, 2, 3, 1, 1, 4, 4, 1, 4, 4, 1, 4, 2, 3, 2, 3, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 1, 4, 1, 0, 1, 1, 2, 0, 0, 4, 3, 4, 1, 3, 0] pubkeycol916 = [2, 4, 2, 2, 4, 3, 0, 1, 0, 4, 3, 4, 1, 2, 2, 1, 0, 4, 1, 0, 2, 3, 2, 3, 2, 0, 2, 3, 0, 2, 3, 3, 4, 0, 2, 0, 3, 2, 0, 4, 1, 2, 1, 4, 4, 1, 2, 3, 3, 2, 0, 3, 4, 0, 3, 4, 4, 1, 0, 0, 2, 0, 1, 1, 2, 2, 4, 1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 3, 2, 4, 3, 2, 2, 1, 3, 2, 3, 1, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 4, 1, 2, 1, 3, 4, 1, 0, 0, 1, 0, 2, 3, 3, 4, 3, 0, 2, 4, 2, 3, 2, 0, 2, 2, 0, 1, 2, 1, 4, 1, 0, 4, 4, 4, 4, 4, 2, 3, 2, 0, 0, 2, 4, 3, 4, 2, 2, 3, 1, 2, 4, 3, 0, 4, 2, 0, 3, 4, 1, 2, 0, 3, 1, 4, 1, 0, 2, 0, 2, 2, 4, 3, 4, 3, 3, 4, 4, 1, 4, 4, 4, 3, 3, 1, 1, 0, 0, 3, 0, 0, 1, 1, 3, 4, 0, 0, 3, 4, 4, 1, 3, 2, 1, 3, 1, 4, 2, 0, 0, 0, 0, 2, 1, 3, 4, 2, 1, 3, 0, 0, 1, 2, 1, 3, 4, 4, 4, 1, 0, 3, 2, 2, 3, 1, 3, 3, 0, 2, 3, 1, 0, 1, 1, 1, 2, 4, 4, 2, 2, 4, 4, 3, 2, 2, 4, 2, 4, 1, 0, 4, 0, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 1, 4, 0, 0, 1, 1, 2, 1, 4, 0, 0, 2, 3, 3, 4, 2, 1, 0, 0, 4, 4, 1, 0, 2, 4, 2, 2, 4, 4, 2, 1, 0, 1, 3, 2, 2, 3, 2, 2, 0, 2, 3, 2, 3, 1, 3, 1, 2, 0, 0] pubkeycol917 = [1, 4, 4, 1, 1, 4, 3, 3, 4, 1, 4, 2, 0, 1, 2, 2, 0, 4, 2, 0, 1, 4, 3, 1, 4, 4, 1, 1, 1, 1, 0, 1, 3, 0, 1, 1, 0, 3, 2, 3, 4, 4, 1, 3, 2, 2, 3, 3, 0, 3, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 3, 2, 0, 0, 1, 3, 0, 2, 1, 1, 3, 2, 2, 3, 3, 4, 3, 2, 1, 0, 0, 4, 4, 4, 1, 2, 3, 2, 4, 1, 0, 2, 0, 2, 0, 3, 3, 4, 4, 1, 3, 4, 1, 0, 2, 0, 2, 4, 3, 3, 0, 0, 3, 1, 4, 1, 1, 0, 2, 0, 1, 1, 4, 3, 2, 2, 2, 2, 0, 2, 3, 1, 3, 4, 2, 2, 0, 2, 3, 1, 2, 3, 4, 1, 2, 4, 1, 1, 4, 3, 2, 2, 0, 4, 4, 3, 4, 3, 4, 0, 3, 3, 0, 4, 0, 0, 2, 2, 0, 4, 1, 0, 2, 4, 2, 3, 2, 2, 0, 3, 0, 2, 4, 2, 4, 2, 0, 3, 3, 3, 1, 3, 1, 2, 3, 4, 1, 4, 2, 1, 1, 4, 2, 2, 2, 2, 1, 2, 0, 0, 0, 3, 0, 3, 3, 1, 1, 2, 2, 4, 0, 2, 1, 4, 4, 2, 4, 3, 1, 4, 4, 1, 4, 2, 3, 3, 3, 3, 3, 4, 3, 0, 4, 3, 4, 3, 4, 0, 3, 0, 4, 4, 0, 1, 3, 2, 3, 2, 0, 0, 4, 1, 0, 4, 3, 2, 3, 3, 4, 2, 3, 0, 0, 0, 4, 4, 4, 1, 4, 3, 2, 4, 1, 4, 4, 0, 4, 3, 0, 4, 0, 4, 3, 2, 2, 3, 0, 1, 2, 3, 2, 1, 3, 1, 0, 3, 2, 4, 1, 0, 3, 0, 2, 4, 1, 4, 4, 1, 0, 3] pubkeycol918 = [2, 4, 2, 4, 0, 4, 2, 4, 3, 2, 0, 1, 3, 0, 0, 0, 0, 1, 3, 2, 2, 4, 0, 1, 4, 2, 4, 1, 3, 3, 3, 0, 2, 0, 2, 0, 3, 4, 4, 3, 0, 1, 2, 0, 0, 2, 3, 4, 3, 4, 2, 0, 0, 1, 2, 4, 4, 4, 3, 2, 3, 1, 1, 3, 4, 4, 3, 4, 0, 3, 2, 3, 4, 1, 2, 3, 2, 3, 0, 1, 1, 4, 0, 4, 2, 3, 0, 1, 4, 0, 3, 2, 1, 0, 1, 4, 4, 1, 2, 2, 4, 3, 2, 4, 1, 1, 3, 2, 0, 4, 0, 3, 0, 1, 3, 0, 4, 1, 0, 4, 4, 2, 1, 2, 4, 2, 3, 1, 1, 0, 4, 4, 3, 2, 0, 1, 1, 3, 3, 1, 0, 2, 0, 2, 1, 2, 2, 0, 3, 1, 4, 4, 3, 3, 0, 4, 2, 3, 4, 2, 0, 4, 2, 2, 3, 2, 0, 0, 0, 2, 3, 1, 2, 4, 0, 4, 2, 0, 1, 2, 1, 0, 2, 2, 1, 3, 3, 4, 3, 1, 0, 4, 2, 3, 4, 2, 1, 0, 1, 4, 3, 4, 0, 0, 3, 3, 2, 4, 2, 4, 1, 2, 4, 4, 3, 3, 0, 3, 0, 4, 1, 4, 0, 1, 4, 0, 4, 1, 2, 2, 0, 2, 4, 2, 3, 1, 4, 0, 1, 0, 1, 0, 2, 4, 2, 1, 0, 2, 2, 3, 4, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 4, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 0, 2, 2, 0, 2, 0, 4, 1, 0, 2, 0, 0, 0, 1, 0, 4, 4, 4, 0, 0, 1, 4, 4, 2, 4, 1, 3, 4, 3, 3, 4, 3, 2, 0, 0, 2, 3, 4, 4, 1, 4, 3] pubkeycol919 = [3, 0, 3, 1, 0, 4, 4, 3, 0, 1, 2, 3, 0, 4, 3, 3, 0, 3, 0, 3, 2, 3, 2, 3, 2, 2, 1, 1, 0, 1, 4, 3, 4, 1, 4, 3, 3, 1, 0, 4, 2, 2, 3, 1, 4, 2, 4, 0, 1, 2, 3, 2, 1, 0, 3, 4, 0, 4, 1, 0, 2, 2, 4, 3, 3, 2, 3, 3, 1, 3, 3, 4, 0, 1, 4, 4, 3, 2, 3, 4, 0, 2, 2, 1, 3, 4, 4, 1, 0, 3, 3, 2, 3, 4, 0, 4, 3, 4, 3, 3, 4, 4, 3, 1, 1, 1, 0, 0, 1, 0, 2, 4, 2, 1, 4, 1, 2, 1, 2, 0, 2, 4, 2, 1, 4, 0, 3, 0, 4, 0, 1, 0, 0, 3, 2, 3, 0, 4, 3, 3, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 4, 4, 0, 1, 4, 4, 2, 4, 2, 2, 3, 1, 1, 1, 4, 4, 2, 1, 3, 4, 1, 1, 2, 1, 1, 4, 4, 0, 4, 2, 3, 4, 1, 4, 4, 2, 2, 4, 1, 4, 4, 3, 3, 3, 0, 2, 3, 4, 1, 4, 0, 1, 2, 2, 1, 2, 3, 1, 3, 2, 0, 4, 3, 3, 2, 0, 0, 3, 1, 1, 1, 0, 2, 4, 0, 3, 1, 3, 3, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 4, 2, 0, 2, 2, 3, 1, 4, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 4, 3, 0, 2, 3, 1, 4, 3, 3, 3, 1, 2, 0, 0, 2, 0, 1, 0, 0, 3, 3, 4, 2, 3, 1, 2, 3, 1, 3, 2, 1, 3, 0, 4, 0, 3, 3, 1, 2, 3, 0, 1, 2, 3, 4, 4, 1, 4, 0, 4, 1, 4, 2, 4, 1, 4, 1, 1, 1, 1, 0] pubkeycol920 = [0, 4, 3, 4, 0, 3, 3, 0, 2, 1, 0, 1, 1, 3, 3, 3, 1, 4, 2, 1, 0, 3, 1, 2, 2, 0, 2, 1, 3, 3, 0, 3, 4, 3, 4, 2, 0, 3, 4, 2, 2, 4, 4, 3, 4, 2, 0, 0, 4, 4, 4, 0, 2, 2, 4, 2, 2, 0, 0, 3, 1, 2, 2, 1, 3, 2, 3, 3, 0, 1, 4, 3, 3, 2, 3, 0, 4, 2, 1, 1, 2, 3, 2, 0, 3, 0, 4, 2, 0, 3, 4, 4, 1, 2, 3, 0, 1, 1, 4, 4, 2, 4, 0, 0, 0, 2, 0, 3, 3, 3, 1, 2, 0, 3, 0, 1, 2, 4, 3, 3, 1, 2, 0, 3, 2, 1, 4, 2, 4, 2, 2, 3, 4, 0, 3, 2, 4, 4, 1, 3, 3, 2, 2, 1, 0, 4, 1, 4, 0, 3, 2, 2, 3, 2, 3, 1, 0, 2, 2, 2, 1, 1, 3, 1, 2, 2, 4, 3, 2, 3, 4, 2, 0, 2, 3, 0, 0, 0, 1, 2, 3, 2, 0, 3, 3, 2, 3, 3, 0, 1, 2, 1, 0, 2, 4, 0, 2, 4, 0, 1, 3, 1, 4, 2, 3, 4, 3, 4, 4, 0, 1, 3, 1, 0, 2, 1, 4, 4, 2, 2, 1, 1, 3, 2, 4, 0, 1, 1, 2, 1, 3, 1, 2, 3, 0, 3, 2, 1, 0, 0, 3, 3, 0, 1, 3, 4, 3, 3, 4, 0, 2, 4, 2, 2, 4, 0, 4, 3, 1, 2, 2, 2, 2, 2, 3, 4, 3, 1, 3, 4, 2, 0, 2, 0, 3, 4, 3, 1, 2, 4, 4, 4, 3, 4, 0, 2, 4, 3, 1, 0, 4, 2, 3, 1, 0, 2, 3, 2, 2, 2, 1, 0, 4, 2, 1, 0, 1, 2, 0, 2, 0, 4, 1, 1, 4, 1, 0, 4, 4, 2] pubkeycol921 = [1, 0, 1, 4, 0, 3, 3, 3, 3, 2, 3, 1, 0, 2, 4, 3, 2, 2, 3, 0, 0, 0, 0, 0, 4, 1, 3, 2, 2, 4, 4, 1, 4, 3, 0, 3, 1, 3, 2, 3, 0, 3, 1, 3, 4, 3, 4, 2, 1, 2, 2, 2, 0, 0, 0, 4, 1, 4, 0, 3, 2, 4, 4, 4, 4, 3, 2, 0, 4, 0, 1, 1, 0, 0, 1, 1, 1, 4, 1, 3, 3, 4, 3, 2, 3, 0, 2, 4, 4, 1, 1, 0, 3, 0, 1, 3, 2, 2, 3, 2, 3, 4, 1, 3, 4, 4, 4, 4, 0, 3, 1, 0, 0, 2, 1, 3, 1, 4, 3, 0, 2, 2, 4, 4, 2, 0, 2, 2, 3, 0, 4, 1, 4, 3, 2, 3, 1, 3, 0, 1, 0, 1, 2, 4, 4, 2, 4, 1, 0, 4, 3, 2, 1, 0, 1, 2, 3, 2, 0, 0, 4, 4, 2, 0, 2, 4, 2, 4, 2, 3, 0, 1, 4, 1, 4, 4, 4, 0, 0, 3, 1, 0, 3, 4, 4, 0, 4, 3, 0, 2, 1, 2, 1, 2, 2, 4, 4, 4, 1, 0, 3, 0, 3, 3, 1, 3, 0, 2, 2, 3, 2, 1, 1, 4, 4, 0, 3, 2, 2, 0, 1, 3, 4, 0, 2, 1, 3, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 3, 1, 2, 2, 4, 4, 4, 0, 2, 1, 3, 4, 0, 0, 1, 3, 1, 3, 2, 0, 1, 1, 1, 3, 0, 3, 0, 0, 3, 1, 3, 1, 1, 1, 3, 4, 2, 4, 1, 1, 4, 2, 4, 2, 4, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 3, 3, 0, 2, 3, 4, 3, 0, 1, 0, 2, 3, 4, 0, 4, 4, 4, 2, 3, 4, 4, 1, 2, 2, 1, 3] pubkeycol922 = [3, 4, 1, 2, 2, 1, 0, 0, 1, 2, 1, 4, 2, 4, 1, 2, 0, 1, 0, 0, 3, 1, 3, 0, 2, 3, 2, 4, 1, 4, 3, 1, 0, 1, 1, 0, 4, 4, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 0, 0, 1, 2, 1, 4, 3, 3, 2, 1, 2, 1, 2, 0, 0, 3, 0, 4, 4, 4, 1, 0, 1, 0, 1, 1, 4, 1, 1, 0, 4, 4, 1, 4, 3, 3, 4, 4, 2, 1, 2, 4, 3, 3, 4, 3, 0, 1, 1, 0, 2, 1, 3, 1, 0, 1, 1, 3, 4, 0, 3, 3, 2, 3, 1, 2, 2, 1, 3, 0, 1, 3, 4, 2, 2, 2, 0, 3, 3, 2, 3, 1, 0, 4, 1, 0, 0, 3, 3, 4, 2, 2, 0, 0, 2, 0, 4, 0, 4, 3, 2, 4, 4, 0, 1, 3, 0, 0, 0, 4, 0, 0, 2, 2, 3, 4, 3, 3, 3, 1, 1, 3, 2, 2, 3, 0, 2, 1, 4, 2, 4, 2, 1, 2, 4, 1, 1, 1, 0, 2, 3, 1, 0, 1, 0, 3, 2, 0, 1, 0, 3, 0, 1, 3, 4, 3, 0, 1, 2, 1, 1, 0, 4, 1, 1, 4, 4, 4, 1, 0, 2, 0, 4, 0, 3, 0, 3, 4, 0, 1, 3, 2, 0, 2, 3, 1, 3, 0, 2, 1, 4, 4, 0, 2, 4, 3, 3, 2, 2, 1, 1, 4, 1, 1, 0, 2, 3, 3, 4, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 4, 2, 1, 3, 1, 4, 4, 0, 2, 1, 3, 2, 2, 3, 2, 3, 3, 2, 0, 1, 3, 4, 2, 2, 3, 2, 3, 4, 2, 0, 3, 0, 3, 4, 0, 0, 1, 3, 0, 4, 3, 4, 1, 2, 3, 1, 1] pubkeycol923 = [1, 1, 4, 0, 1, 0, 2, 3, 3, 0, 3, 0, 4, 2, 3, 0, 3, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 3, 4, 3, 1, 3, 0, 4, 3, 3, 0, 4, 0, 1, 1, 2, 2, 1, 2, 4, 2, 1, 0, 1, 0, 0, 1, 2, 3, 0, 3, 1, 0, 0, 3, 2, 0, 3, 2, 4, 1, 2, 2, 0, 2, 1, 4, 3, 4, 1, 3, 1, 4, 0, 3, 2, 3, 0, 4, 1, 0, 1, 1, 3, 4, 0, 2, 4, 0, 1, 3, 0, 0, 0, 2, 4, 3, 2, 3, 0, 3, 2, 2, 4, 4, 4, 1, 2, 1, 3, 0, 4, 0, 1, 2, 0, 1, 0, 2, 1, 4, 1, 3, 1, 1, 2, 3, 4, 2, 4, 2, 4, 4, 2, 4, 3, 4, 1, 1, 0, 2, 1, 1, 2, 4, 2, 1, 2, 0, 3, 3, 4, 1, 2, 2, 4, 3, 0, 0, 0, 2, 3, 4, 0, 2, 2, 2, 0, 3, 1, 3, 4, 2, 1, 4, 2, 1, 0, 0, 2, 0, 1, 2, 4, 1, 0, 0, 3, 1, 2, 3, 3, 4, 2, 0, 1, 3, 0, 2, 0, 1, 1, 4, 0, 3, 0, 4, 0, 1, 0, 1, 1, 0, 0, 2, 4, 2, 3, 0, 2, 1, 4, 0, 3, 1, 2, 2, 2, 0, 0, 0, 0, 3, 0, 1, 1, 4, 0, 4, 2, 1, 2, 1, 2, 1, 0, 0, 0, 3, 0, 3, 1, 3, 1, 2, 0, 4, 0, 0, 3, 2, 1, 3, 4, 3, 1, 3, 1, 4, 4, 3, 4, 3, 3, 1, 4, 1, 3, 3, 4, 4, 3, 0, 4, 4, 2, 2, 2, 4, 0, 0, 1, 4, 1, 3, 2, 0, 2, 4, 0, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 4] pubkeycol924 = [0, 2, 3, 0, 4, 3, 1, 2, 4, 0, 3, 1, 3, 2, 3, 0, 0, 0, 3, 3, 2, 4, 0, 4, 0, 1, 4, 3, 4, 2, 4, 2, 2, 2, 2, 0, 1, 3, 4, 1, 3, 4, 3, 4, 4, 1, 1, 2, 3, 4, 4, 3, 3, 0, 1, 0, 0, 1, 3, 3, 2, 3, 1, 4, 2, 4, 0, 4, 2, 1, 2, 3, 4, 0, 1, 0, 3, 2, 4, 2, 1, 1, 4, 1, 4, 4, 2, 3, 4, 1, 4, 1, 3, 0, 0, 1, 3, 1, 2, 4, 0, 3, 2, 0, 4, 1, 1, 4, 4, 4, 2, 3, 2, 0, 3, 4, 2, 1, 0, 0, 4, 1, 0, 0, 4, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 3, 4, 0, 1, 3, 3, 1, 2, 4, 0, 0, 4, 2, 2, 3, 0, 0, 2, 0, 3, 4, 4, 4, 0, 0, 2, 0, 2, 0, 2, 4, 4, 3, 4, 4, 4, 1, 1, 4, 1, 1, 4, 0, 3, 2, 1, 1, 3, 4, 2, 3, 1, 4, 3, 3, 1, 1, 1, 3, 0, 4, 2, 3, 4, 1, 0, 2, 2, 1, 4, 1, 4, 0, 4, 2, 2, 1, 4, 1, 1, 4, 3, 0, 4, 4, 2, 3, 3, 3, 4, 0, 3, 3, 4, 0, 0, 0, 4, 0, 2, 1, 4, 2, 1, 0, 3, 4, 4, 3, 4, 0, 4, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 4, 3, 4, 3, 4, 4, 4, 2, 0, 0, 3, 4, 0, 4, 0, 1, 0, 4, 2, 2, 3, 3, 4, 4, 3, 0, 3, 0, 4, 4, 1, 1, 1, 1, 1, 0, 3, 2, 0, 0, 1, 4, 2, 0, 4, 1, 4, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 4, 3] pubkeycol925 = [2, 3, 2, 3, 2, 2, 0, 3, 0, 1, 2, 3, 4, 2, 1, 1, 4, 3, 2, 0, 4, 0, 3, 3, 4, 0, 1, 0, 3, 1, 4, 1, 3, 3, 0, 2, 2, 0, 1, 3, 2, 2, 0, 3, 0, 3, 3, 3, 4, 4, 1, 0, 2, 2, 4, 0, 3, 1, 4, 0, 4, 2, 0, 0, 2, 3, 2, 4, 3, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 3, 0, 0, 2, 2, 4, 2, 2, 1, 2, 0, 0, 1, 1, 0, 4, 1, 2, 4, 0, 3, 3, 1, 2, 2, 0, 1, 4, 2, 4, 2, 1, 2, 3, 0, 4, 3, 0, 2, 3, 2, 2, 3, 4, 2, 2, 2, 2, 4, 1, 2, 1, 1, 4, 4, 1, 3, 2, 2, 1, 0, 0, 2, 2, 3, 2, 3, 1, 0, 2, 4, 4, 2, 2, 0, 4, 3, 4, 1, 4, 2, 1, 0, 3, 4, 2, 1, 3, 0, 0, 4, 2, 0, 0, 2, 2, 3, 2, 2, 4, 0, 2, 2, 2, 3, 2, 2, 1, 1, 0, 2, 1, 4, 3, 4, 1, 3, 0, 3, 4, 3, 2, 1, 2, 0, 0, 0, 2, 2, 3, 3, 3, 1, 1, 3, 2, 2, 0, 4, 0, 1, 0, 0, 4, 0, 4, 2, 2, 0, 4, 2, 2, 3, 0, 1, 2, 0, 3, 4, 3, 1, 2, 0, 2, 0, 0, 0, 3, 1, 0, 2, 4, 0, 2, 3, 3, 2, 0, 0, 0, 1, 4, 4, 0, 3, 4, 2, 1, 4, 4, 2, 3, 2, 2, 1, 4, 3, 1, 2, 2, 3, 4, 0, 0, 0, 1, 0, 4, 4, 1, 1, 4, 1, 4, 1, 3, 1, 3, 0, 0, 0, 2, 4, 1, 4, 2, 4, 4, 1, 3, 3, 0, 2, 4, 2, 2, 1, 4, 0, 1] pubkeycol926 = [2, 1, 3, 1, 4, 1, 3, 2, 0, 0, 2, 1, 4, 2, 3, 2, 0, 3, 0, 4, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 0, 2, 1, 0, 0, 2, 4, 2, 3, 3, 1, 1, 4, 3, 1, 0, 1, 4, 4, 1, 0, 0, 4, 3, 1, 3, 4, 0, 4, 4, 2, 1, 2, 1, 3, 2, 4, 0, 2, 3, 0, 2, 2, 2, 2, 0, 1, 4, 3, 1, 0, 4, 1, 0, 2, 4, 0, 4, 4, 2, 3, 2, 1, 4, 4, 3, 0, 0, 0, 1, 1, 3, 2, 0, 4, 3, 1, 0, 4, 3, 0, 0, 3, 1, 4, 3, 2, 1, 4, 0, 2, 4, 2, 2, 0, 0, 2, 4, 1, 3, 0, 2, 4, 4, 3, 0, 0, 3, 4, 4, 3, 4, 4, 1, 3, 0, 2, 1, 4, 3, 3, 4, 4, 1, 4, 3, 3, 3, 0, 1, 2, 0, 3, 2, 1, 1, 4, 1, 1, 2, 2, 4, 3, 0, 4, 4, 0, 1, 2, 2, 1, 4, 1, 2, 2, 2, 1, 1, 4, 1, 1, 2, 2, 1, 3, 2, 3, 0, 4, 3, 0, 4, 0, 0, 4, 4, 3, 4, 4, 1, 4, 4, 0, 4, 3, 4, 3, 3, 1, 3, 2, 4, 1, 2, 0, 2, 0, 1, 3, 2, 4, 1, 3, 2, 0, 3, 1, 2, 1, 4, 4, 1, 0, 2, 4, 4, 4, 3, 3, 2, 3, 1, 2, 3, 3, 1, 1, 3, 1, 3, 4, 4, 3, 0, 1, 3, 1, 0, 1, 3, 3, 1, 3, 4, 0, 1, 1, 2, 3, 3, 4, 1, 2, 3, 3, 1, 2, 0, 2, 3, 2, 0, 1, 1, 3, 3, 0, 4, 1, 3, 4, 3, 4, 1, 4, 3, 0, 2, 4, 3, 2, 1, 2, 2, 1, 4, 0, 1, 4, 0] pubkeycol927 = [1, 1, 3, 3, 4, 2, 4, 4, 3, 0, 3, 2, 2, 2, 1, 3, 0, 0, 2, 2, 2, 3, 2, 4, 3, 3, 4, 2, 4, 4, 3, 0, 2, 2, 3, 0, 2, 1, 0, 1, 1, 3, 0, 4, 1, 2, 0, 4, 2, 2, 3, 0, 3, 4, 1, 4, 4, 1, 2, 4, 3, 0, 3, 2, 4, 2, 0, 1, 3, 2, 0, 1, 2, 1, 0, 3, 2, 3, 2, 2, 2, 2, 0, 0, 3, 4, 4, 1, 0, 1, 3, 3, 2, 2, 1, 1, 4, 1, 0, 1, 1, 1, 3, 2, 3, 1, 3, 4, 3, 4, 1, 4, 2, 0, 1, 0, 2, 4, 2, 4, 0, 2, 3, 2, 4, 2, 4, 3, 2, 2, 4, 2, 2, 0, 1, 1, 0, 0, 3, 0, 3, 4, 2, 3, 1, 2, 0, 3, 0, 2, 3, 4, 0, 3, 2, 2, 4, 4, 4, 0, 4, 4, 2, 3, 0, 4, 3, 1, 0, 3, 2, 4, 3, 2, 0, 1, 0, 4, 1, 2, 4, 4, 4, 1, 1, 0, 4, 2, 4, 2, 1, 3, 3, 0, 3, 4, 4, 4, 0, 1, 1, 3, 2, 0, 3, 2, 2, 2, 3, 4, 1, 1, 3, 3, 0, 0, 2, 1, 0, 2, 4, 0, 4, 3, 1, 0, 2, 2, 0, 0, 1, 4, 1, 0, 2, 1, 2, 3, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 4, 2, 4, 0, 2, 2, 3, 4, 0, 0, 3, 0, 2, 4, 3, 0, 1, 4, 2, 1, 2, 2, 2, 3, 0, 0, 4, 0, 4, 3, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 3, 0, 4, 4, 4, 4, 2, 3, 3, 2, 1, 2, 3, 0, 4, 1, 4, 0, 1, 1, 3, 1, 4, 0, 2, 3, 0, 1, 4, 0] pubkeycol928 = [3, 3, 4, 1, 3, 1, 2, 0, 2, 3, 1, 0, 1, 2, 2, 1, 4, 0, 1, 4, 3, 3, 1, 1, 4, 3, 2, 1, 0, 3, 0, 2, 3, 2, 4, 1, 4, 4, 4, 0, 1, 1, 3, 0, 2, 0, 4, 0, 1, 4, 4, 0, 1, 1, 1, 1, 2, 1, 0, 3, 0, 1, 2, 2, 0, 0, 0, 0, 0, 4, 4, 4, 1, 0, 4, 3, 3, 2, 3, 1, 1, 3, 2, 2, 0, 3, 2, 1, 2, 3, 2, 0, 4, 3, 3, 2, 4, 4, 2, 4, 3, 2, 4, 4, 3, 3, 2, 1, 3, 0, 3, 3, 2, 2, 0, 1, 3, 3, 2, 2, 1, 0, 4, 4, 2, 1, 4, 4, 0, 0, 4, 4, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 4, 0, 1, 3, 2, 4, 2, 1, 4, 3, 4, 3, 3, 0, 1, 2, 0, 0, 1, 1, 2, 4, 1, 4, 3, 2, 1, 0, 4, 1, 3, 3, 3, 4, 0, 4, 2, 4, 2, 3, 2, 3, 3, 4, 2, 3, 2, 0, 3, 1, 2, 1, 4, 1, 3, 1, 4, 4, 0, 1, 0, 2, 3, 3, 0, 4, 4, 1, 3, 3, 0, 1, 2, 0, 0, 3, 2, 0, 2, 4, 4, 2, 1, 2, 1, 3, 1, 0, 4, 3, 1, 1, 2, 0, 2, 1, 4, 2, 2, 4, 0, 4, 4, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 4, 1, 4, 2, 3, 4, 2, 0, 4, 2, 3, 0, 3, 2, 1, 4, 2, 3, 4, 3, 1, 4, 1, 1, 3, 4, 0, 3, 4, 3, 4, 4, 3, 4, 4, 2, 3, 1, 0, 1, 4, 1, 3, 0, 3, 3, 4, 0, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 0, 4, 3] pubkeycol929 = [3, 4, 1, 4, 4, 2, 4, 2, 1, 4, 4, 3, 3, 3, 1, 2, 2, 3, 0, 1, 2, 0, 0, 2, 1, 3, 1, 4, 0, 1, 4, 3, 3, 4, 0, 3, 0, 3, 1, 2, 2, 3, 1, 0, 3, 1, 2, 3, 3, 4, 4, 2, 1, 0, 2, 2, 0, 4, 3, 3, 2, 3, 0, 4, 4, 2, 2, 0, 4, 3, 3, 3, 1, 3, 4, 4, 0, 2, 3, 3, 4, 0, 1, 2, 3, 0, 3, 3, 0, 3, 0, 2, 3, 2, 4, 4, 2, 3, 1, 3, 0, 3, 4, 4, 1, 0, 4, 4, 0, 1, 1, 2, 1, 4, 1, 2, 1, 1, 4, 4, 2, 4, 4, 2, 2, 4, 4, 1, 4, 1, 2, 3, 1, 2, 0, 3, 4, 4, 4, 3, 0, 3, 0, 2, 3, 4, 1, 0, 0, 4, 0, 4, 3, 4, 0, 0, 2, 2, 3, 2, 2, 1, 3, 0, 3, 4, 3, 3, 2, 2, 2, 1, 0, 1, 4, 2, 2, 2, 2, 0, 2, 1, 3, 3, 2, 2, 3, 4, 0, 4, 1, 2, 3, 4, 3, 3, 1, 3, 0, 2, 1, 0, 3, 2, 4, 4, 3, 4, 0, 3, 1, 0, 2, 3, 4, 2, 1, 1, 3, 2, 0, 2, 0, 1, 1, 1, 2, 2, 4, 3, 2, 2, 0, 0, 3, 2, 4, 3, 1, 3, 3, 3, 4, 1, 2, 0, 2, 0, 0, 1, 3, 2, 2, 1, 3, 1, 0, 1, 0, 3, 4, 2, 3, 4, 3, 0, 1, 4, 2, 3, 1, 4, 3, 3, 1, 1, 1, 3, 4, 4, 2, 1, 2, 3, 4, 1, 3, 4, 2, 1, 0, 3, 3, 3, 1, 4, 4, 3, 1, 2, 4, 0, 2, 3, 3, 3, 3, 3, 3, 4, 2, 4, 0, 2, 1, 3, 2, 2, 3, 2] pubkeycol930 = [0, 2, 1, 4, 0, 4, 2, 1, 4, 0, 1, 1, 4, 2, 4, 1, 0, 4, 0, 3, 3, 3, 4, 2, 4, 2, 2, 1, 1, 1, 4, 2, 4, 2, 2, 1, 0, 2, 1, 0, 2, 0, 4, 0, 2, 1, 2, 3, 0, 0, 3, 3, 0, 4, 3, 1, 0, 3, 2, 4, 4, 3, 1, 1, 4, 2, 4, 0, 2, 4, 4, 0, 4, 2, 1, 3, 0, 4, 2, 2, 3, 1, 1, 4, 3, 0, 2, 0, 0, 1, 4, 4, 4, 0, 3, 0, 2, 0, 1, 3, 0, 0, 2, 0, 3, 3, 4, 1, 1, 4, 2, 0, 1, 3, 4, 0, 3, 1, 1, 4, 0, 4, 3, 4, 2, 1, 4, 2, 1, 3, 2, 4, 2, 2, 1, 1, 4, 1, 1, 4, 4, 0, 2, 2, 3, 1, 3, 4, 2, 4, 2, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3, 1, 0, 0, 1, 4, 2, 4, 0, 1, 1, 0, 4, 2, 3, 3, 4, 4, 3, 2, 3, 3, 1, 4, 3, 0, 1, 4, 1, 2, 0, 2, 4, 3, 4, 3, 0, 4, 2, 2, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 1, 3, 2, 1, 2, 2, 2, 0, 3, 2, 2, 2, 3, 0, 0, 2, 2, 1, 1, 0, 4, 2, 4, 4, 2, 2, 4, 3, 0, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 4, 2, 4, 1, 1, 0, 4, 3, 4, 3, 1, 0, 1, 4, 3, 0, 1, 2, 2, 4, 1, 4, 1, 3, 4, 2, 2, 0, 1, 2, 1, 3, 1, 0, 2, 3, 1, 4, 2, 2, 1, 0, 1, 1, 1, 4, 0, 4, 3, 1, 3, 2, 4, 0, 1, 0, 0, 2, 0, 3, 3, 3, 1, 4, 1, 0, 0, 3, 3] pubkeycol931 = [3, 1, 3, 0, 0, 0, 4, 1, 2, 1, 3, 4, 0, 0, 4, 2, 2, 0, 2, 1, 2, 4, 0, 2, 3, 1, 4, 4, 1, 4, 2, 4, 1, 1, 1, 0, 4, 4, 4, 3, 3, 0, 3, 2, 4, 3, 3, 2, 4, 4, 4, 0, 2, 3, 2, 3, 2, 0, 2, 4, 3, 4, 4, 1, 4, 1, 2, 2, 3, 1, 0, 0, 0, 4, 2, 3, 4, 2, 1, 3, 4, 2, 2, 3, 1, 2, 3, 1, 3, 2, 4, 2, 1, 1, 4, 4, 2, 0, 1, 1, 4, 3, 0, 4, 4, 1, 2, 1, 4, 4, 1, 1, 1, 2, 2, 0, 3, 4, 2, 3, 2, 4, 4, 1, 3, 0, 4, 1, 2, 4, 3, 1, 3, 3, 3, 4, 0, 4, 2, 3, 2, 1, 3, 2, 1, 2, 4, 4, 1, 3, 0, 0, 1, 2, 4, 4, 1, 3, 0, 4, 3, 0, 4, 3, 2, 1, 4, 4, 3, 0, 0, 0, 0, 1, 3, 2, 4, 1, 0, 4, 1, 0, 3, 3, 3, 4, 4, 1, 1, 1, 1, 2, 4, 4, 1, 1, 3, 4, 2, 1, 4, 4, 0, 1, 0, 0, 2, 4, 0, 0, 1, 0, 3, 1, 0, 1, 2, 2, 0, 0, 0, 1, 4, 0, 1, 3, 1, 3, 4, 0, 4, 4, 2, 1, 0, 3, 1, 0, 3, 3, 3, 4, 3, 2, 1, 3, 2, 2, 0, 4, 2, 4, 4, 4, 2, 3, 1, 2, 2, 1, 2, 1, 2, 2, 4, 0, 1, 1, 4, 1, 4, 3, 0, 1, 2, 4, 1, 3, 2, 0, 0, 4, 3, 1, 4, 0, 2, 1, 3, 3, 4, 3, 0, 2, 3, 4, 1, 2, 4, 2, 2, 0, 1, 4, 3, 3, 3, 0, 3, 2, 2, 4, 4, 0, 1, 3, 2, 2, 2, 4] pubkeycol932 = [3, 1, 3, 2, 3, 4, 3, 1, 1, 0, 4, 4, 1, 0, 3, 1, 0, 2, 3, 1, 2, 4, 0, 2, 3, 2, 1, 4, 1, 3, 0, 3, 4, 2, 3, 4, 4, 3, 0, 4, 1, 4, 3, 2, 1, 3, 2, 4, 4, 1, 4, 1, 2, 3, 0, 1, 2, 1, 2, 3, 3, 2, 0, 2, 1, 2, 0, 4, 3, 2, 3, 1, 4, 2, 0, 4, 2, 2, 0, 0, 3, 1, 4, 4, 3, 4, 1, 1, 0, 4, 4, 1, 4, 1, 4, 4, 2, 1, 4, 1, 1, 2, 0, 2, 2, 3, 4, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 3, 2, 0, 4, 1, 3, 1, 1, 3, 1, 1, 2, 4, 0, 2, 0, 2, 1, 3, 0, 0, 4, 3, 2, 0, 2, 0, 0, 4, 2, 0, 0, 2, 3, 1, 4, 2, 1, 4, 3, 4, 4, 2, 0, 1, 3, 0, 0, 1, 0, 3, 3, 0, 4, 1, 1, 3, 1, 4, 0, 3, 4, 4, 3, 1, 2, 0, 4, 1, 4, 3, 3, 1, 1, 0, 3, 0, 0, 1, 1, 3, 4, 3, 2, 0, 2, 2, 4, 0, 1, 1, 3, 4, 4, 2, 0, 0, 0, 1, 3, 2, 0, 1, 3, 0, 3, 2, 4, 4, 0, 2, 3, 3, 2, 4, 4, 3, 4, 4, 4, 3, 1, 4, 0, 1, 1, 3, 1, 1, 4, 3, 4, 2, 0, 3, 3, 2, 0, 1, 2, 3, 1, 0, 4, 0, 0, 4, 4, 4, 4, 2, 4, 0, 2, 2, 2, 2, 3, 3, 3, 4, 2, 0, 4, 1, 4, 4, 0, 4, 4, 0, 1, 4, 1, 1, 3, 0, 2, 1, 0, 2, 0, 3, 2, 1, 4, 4, 4, 1, 3, 1, 4, 0, 2, 2, 2, 3, 3, 3, 2, 4, 1, 4] pubkeycol933 = [1, 1, 2, 0, 4, 3, 0, 0, 2, 4, 4, 2, 1, 3, 3, 1, 4, 0, 2, 2, 4, 3, 3, 2, 1, 0, 0, 2, 2, 0, 4, 2, 0, 1, 4, 1, 3, 2, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 0, 4, 1, 4, 4, 2, 2, 0, 3, 1, 1, 4, 1, 4, 4, 1, 4, 0, 1, 3, 3, 2, 1, 3, 2, 2, 2, 3, 3, 2, 4, 4, 1, 4, 1, 3, 2, 2, 2, 1, 3, 0, 0, 0, 3, 2, 2, 2, 1, 2, 1, 2, 0, 4, 4, 3, 4, 2, 0, 3, 2, 2, 0, 0, 1, 2, 4, 0, 1, 2, 2, 3, 4, 2, 1, 1, 1, 0, 4, 1, 1, 3, 2, 4, 2, 1, 4, 4, 1, 3, 3, 2, 2, 3, 0, 3, 0, 0, 4, 2, 0, 0, 0, 2, 2, 2, 0, 3, 0, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 4, 1, 3, 2, 4, 4, 4, 0, 1, 4, 3, 1, 2, 3, 0, 2, 1, 1, 1, 2, 4, 4, 1, 2, 3, 2, 3, 1, 3, 3, 2, 3, 1, 3, 3, 0, 2, 3, 2, 2, 1, 4, 4, 0, 0, 1, 3, 1, 4, 3, 4, 1, 1, 0, 1, 0, 1, 3, 4, 0, 0, 3, 3, 4, 2, 4, 3, 0, 3, 2, 3, 3, 3, 4, 4, 4, 2, 4, 1, 3, 0, 3, 1, 4, 0, 3, 1, 1, 3, 1, 3, 0, 3, 3, 1, 2, 0, 3, 0, 1, 3, 4, 2, 1, 1, 4, 1, 2, 1, 0, 1, 4, 1, 4, 4, 4, 0, 4, 3, 3, 2, 4, 0, 0, 1, 0, 4, 2, 2, 1, 3, 2, 3, 1, 2, 0, 4, 0, 4, 1, 4, 4, 1, 0, 3, 1, 4, 3, 3, 3, 4, 2] pubkeycol934 = [4, 4, 3, 0, 4, 4, 0, 4, 3, 1, 0, 0, 3, 3, 2, 4, 1, 1, 0, 0, 2, 2, 1, 3, 0, 0, 1, 0, 0, 2, 3, 3, 2, 1, 1, 3, 3, 1, 1, 2, 3, 4, 0, 3, 2, 4, 1, 2, 3, 3, 1, 3, 3, 1, 4, 1, 1, 2, 2, 0, 3, 1, 0, 1, 0, 1, 4, 3, 3, 1, 0, 1, 2, 2, 2, 0, 1, 3, 1, 2, 2, 0, 0, 1, 0, 3, 3, 3, 0, 2, 4, 3, 3, 2, 4, 0, 3, 2, 4, 4, 0, 4, 1, 0, 4, 3, 3, 0, 3, 1, 1, 0, 1, 4, 2, 0, 0, 1, 0, 4, 4, 4, 2, 1, 2, 1, 2, 2, 3, 3, 0, 4, 0, 2, 4, 4, 2, 0, 3, 1, 1, 0, 4, 1, 1, 0, 4, 2, 4, 4, 3, 0, 1, 1, 1, 1, 2, 0, 4, 1, 0, 1, 2, 4, 1, 3, 0, 2, 0, 3, 3, 2, 3, 4, 1, 1, 2, 2, 4, 2, 2, 2, 0, 4, 4, 1, 4, 2, 2, 4, 4, 4, 1, 0, 2, 2, 4, 1, 0, 4, 1, 4, 3, 1, 2, 3, 0, 4, 4, 1, 2, 4, 4, 0, 3, 1, 0, 0, 1, 0, 1, 2, 3, 4, 3, 0, 4, 3, 4, 0, 0, 2, 1, 4, 3, 2, 1, 2, 1, 2, 0, 4, 4, 4, 1, 3, 0, 0, 0, 3, 0, 0, 4, 2, 0, 4, 4, 0, 3, 4, 0, 1, 3, 0, 4, 0, 2, 3, 4, 4, 4, 1, 4, 0, 1, 1, 4, 2, 1, 0, 3, 3, 3, 0, 3, 4, 4, 1, 4, 4, 4, 0, 4, 0, 1, 3, 3, 0, 0, 4, 1, 4, 4, 0, 4, 3, 4, 1, 3, 2, 3, 2, 4, 2, 2, 2, 2, 3, 3, 0] pubkeycol935 = [2, 1, 3, 1, 3, 3, 4, 1, 3, 1, 1, 3, 2, 3, 0, 3, 0, 3, 4, 3, 0, 0, 4, 2, 2, 1, 1, 3, 0, 3, 0, 3, 0, 4, 1, 3, 4, 2, 2, 3, 2, 3, 4, 0, 2, 1, 4, 3, 0, 0, 1, 2, 0, 4, 3, 1, 4, 3, 0, 4, 1, 4, 4, 3, 2, 1, 1, 2, 2, 4, 3, 3, 0, 1, 3, 4, 2, 0, 0, 2, 2, 4, 3, 0, 2, 2, 3, 2, 0, 3, 1, 2, 3, 3, 4, 0, 0, 4, 3, 3, 3, 1, 0, 3, 3, 3, 3, 0, 0, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 1, 3, 1, 1, 0, 2, 3, 4, 0, 0, 0, 4, 0, 3, 4, 3, 4, 1, 1, 1, 2, 0, 0, 0, 1, 0, 3, 1, 4, 3, 2, 2, 0, 3, 3, 0, 1, 3, 4, 3, 2, 2, 1, 3, 4, 4, 3, 1, 3, 0, 3, 1, 1, 0, 0, 1, 3, 3, 4, 1, 2, 1, 0, 4, 2, 1, 1, 2, 4, 0, 4, 4, 4, 2, 3, 4, 3, 4, 4, 1, 2, 3, 3, 0, 0, 4, 1, 3, 4, 0, 1, 1, 1, 2, 4, 4, 2, 1, 0, 0, 0, 4, 3, 3, 4, 0, 0, 4, 1, 2, 2, 4, 2, 3, 3, 1, 0, 0, 4, 2, 0, 1, 2, 2, 1, 4, 3, 0, 1, 2, 1, 1, 4, 4, 2, 0, 4, 4, 0, 2, 2, 2, 3, 4, 0, 1, 0, 3, 0, 1, 0, 4, 4, 4, 2, 3, 2, 4, 0, 4, 3, 4, 4, 1, 1, 0, 0, 1, 2, 0, 4, 1, 4, 0, 4, 3, 0, 0, 3, 3, 3, 0, 4, 1, 1, 2, 4, 4, 2, 3, 1, 0, 1, 2, 1, 2, 4, 1, 1, 4, 4] pubkeycol936 = [2, 2, 1, 0, 0, 1, 4, 4, 2, 3, 0, 4, 0, 2, 3, 0, 1, 2, 4, 2, 2, 0, 0, 0, 0, 1, 4, 3, 1, 1, 3, 2, 4, 3, 3, 3, 2, 2, 4, 3, 4, 2, 2, 4, 1, 0, 0, 0, 1, 1, 1, 3, 1, 0, 2, 4, 0, 3, 3, 0, 2, 0, 4, 3, 1, 0, 4, 0, 1, 1, 2, 0, 0, 4, 1, 0, 4, 2, 2, 4, 4, 0, 4, 3, 4, 4, 3, 1, 0, 1, 0, 1, 4, 2, 0, 3, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 4, 2, 2, 3, 0, 0, 3, 0, 2, 3, 0, 0, 4, 0, 1, 2, 0, 0, 3, 3, 4, 1, 2, 1, 3, 2, 1, 2, 0, 1, 4, 2, 4, 2, 0, 1, 2, 3, 4, 0, 0, 1, 2, 2, 0, 1, 2, 3, 3, 2, 1, 2, 4, 2, 4, 0, 4, 3, 2, 3, 1, 4, 4, 2, 4, 0, 3, 4, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 3, 2, 4, 3, 2, 4, 1, 3, 2, 4, 3, 3, 2, 2, 0, 2, 1, 1, 3, 1, 1, 2, 4, 3, 3, 4, 0, 1, 3, 0, 2, 1, 4, 1, 2, 2, 3, 1, 1, 3, 2, 4, 0, 3, 3, 1, 4, 3, 1, 4, 0, 0, 0, 3, 1, 1, 1, 1, 0, 3, 4, 1, 3, 3, 1, 1, 2, 4, 0, 4, 0, 4, 0, 3, 3, 4, 3, 4, 2, 3, 2, 4, 4, 3, 2, 0, 1, 2, 3, 3, 3, 1, 1, 0, 2, 2, 4, 3, 1, 2, 1, 4, 1, 4, 1, 1, 1, 4, 3, 2, 3, 4, 2, 1, 4, 1, 0, 3, 4, 4, 2, 2, 1, 0, 3, 0, 2, 1, 4, 0, 1, 4] pubkeycol937 = [4, 1, 2, 1, 3, 0, 3, 0, 0, 3, 2, 1, 3, 3, 1, 3, 4, 1, 2, 2, 0, 1, 2, 0, 4, 1, 0, 1, 4, 2, 2, 0, 1, 1, 4, 2, 3, 2, 1, 4, 0, 2, 0, 3, 0, 0, 3, 0, 1, 0, 2, 0, 0, 3, 0, 3, 2, 2, 4, 1, 1, 4, 0, 0, 3, 2, 3, 3, 4, 0, 2, 4, 1, 2, 1, 2, 4, 4, 1, 0, 0, 2, 0, 2, 4, 0, 1, 1, 4, 4, 2, 2, 2, 2, 1, 0, 3, 3, 0, 4, 2, 3, 3, 0, 2, 3, 3, 4, 1, 3, 1, 0, 2, 1, 3, 1, 3, 0, 0, 3, 1, 3, 3, 4, 3, 4, 1, 4, 2, 3, 4, 0, 4, 1, 4, 4, 3, 0, 4, 1, 2, 0, 4, 3, 0, 4, 3, 1, 0, 3, 2, 4, 3, 4, 3, 1, 2, 3, 0, 0, 1, 2, 2, 3, 0, 2, 2, 3, 2, 2, 3, 3, 3, 4, 1, 1, 2, 4, 4, 2, 2, 4, 3, 4, 1, 4, 1, 2, 3, 3, 0, 3, 0, 0, 2, 1, 1, 4, 0, 2, 0, 4, 2, 1, 4, 3, 3, 3, 3, 3, 1, 4, 1, 2, 1, 2, 2, 1, 1, 4, 0, 4, 4, 4, 1, 4, 0, 4, 3, 3, 0, 2, 3, 3, 3, 3, 4, 2, 3, 1, 1, 4, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 1, 3, 4, 0, 4, 2, 0, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 1, 0, 2, 2, 0, 2, 2, 3, 2, 0, 0, 0, 1, 2, 0, 3, 0, 0, 1, 3, 0, 4, 0, 3, 1, 4, 0, 1, 1, 3, 3, 1, 3, 4, 2, 3, 1, 3, 1, 3, 2, 3, 0, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol938 = [4, 0, 3, 1, 4, 1, 0, 1, 1, 2, 1, 0, 2, 3, 3, 0, 3, 0, 2, 0, 4, 2, 2, 2, 1, 0, 0, 4, 0, 4, 3, 2, 0, 0, 4, 4, 4, 0, 1, 4, 2, 4, 4, 2, 3, 4, 3, 3, 2, 4, 3, 0, 1, 1, 1, 0, 3, 4, 3, 2, 1, 3, 1, 3, 3, 1, 2, 0, 4, 4, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 4, 1, 2, 2, 2, 3, 2, 4, 0, 2, 2, 0, 3, 2, 2, 0, 4, 3, 0, 3, 0, 4, 4, 0, 2, 4, 1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 3, 0, 1, 0, 4, 1, 1, 4, 4, 3, 3, 1, 0, 2, 4, 1, 2, 0, 0, 0, 0, 2, 0, 4, 3, 2, 3, 2, 2, 3, 3, 1, 1, 4, 0, 4, 1, 4, 4, 1, 0, 4, 1, 1, 0, 1, 4, 3, 0, 4, 0, 3, 1, 0, 3, 2, 2, 0, 4, 4, 2, 2, 4, 3, 2, 3, 3, 1, 0, 1, 4, 1, 4, 0, 2, 2, 3, 4, 2, 0, 2, 1, 4, 1, 1, 0, 1, 3, 1, 2, 4, 2, 3, 4, 1, 4, 0, 0, 3, 1, 3, 2, 2, 0, 2, 1, 3, 2, 2, 1, 4, 0, 4, 0, 0, 0, 3, 4, 1, 3, 3, 0, 4, 4, 4, 1, 4, 4, 0, 2, 0, 1, 2, 2, 0, 0, 2, 3, 0, 1, 1, 2, 2, 0, 0, 1, 1, 4, 2, 0, 3, 3, 4, 2, 4, 3, 0, 3, 0, 4, 4, 1, 2, 4, 3, 0, 0, 4, 3, 1, 2, 1, 3, 2, 3, 3, 0, 1, 1, 2, 2, 4, 2, 4, 2, 3, 0, 2, 0, 4, 1, 3, 3, 2, 2, 2, 1, 3, 0, 3, 1, 2, 3, 0] pubkeycol939 = [4, 1, 1, 2, 0, 0, 3, 0, 0, 0, 1, 3, 2, 2, 2, 1, 3, 0, 1, 3, 0, 0, 1, 1, 1, 0, 1, 1, 2, 3, 4, 2, 3, 3, 2, 2, 4, 2, 3, 4, 3, 1, 2, 1, 3, 1, 4, 1, 2, 3, 2, 1, 3, 4, 2, 2, 3, 4, 0, 0, 1, 1, 2, 2, 0, 1, 1, 4, 2, 3, 4, 4, 3, 4, 3, 4, 1, 2, 0, 1, 2, 0, 1, 0, 1, 3, 3, 0, 2, 2, 4, 0, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 2, 4, 1, 2, 0, 4, 0, 3, 0, 3, 4, 3, 2, 2, 4, 0, 1, 3, 0, 4, 4, 2, 3, 4, 0, 1, 1, 4, 1, 0, 1, 4, 2, 4, 4, 1, 1, 0, 1, 4, 4, 3, 1, 2, 2, 0, 3, 3, 1, 0, 2, 3, 2, 3, 2, 2, 4, 1, 2, 1, 2, 1, 3, 1, 3, 3, 4, 2, 4, 3, 1, 0, 0, 0, 2, 4, 2, 0, 4, 0, 3, 2, 2, 2, 4, 1, 0, 0, 2, 1, 0, 2, 3, 3, 3, 4, 4, 4, 2, 4, 4, 0, 4, 1, 3, 2, 0, 4, 4, 3, 1, 3, 2, 2, 3, 4, 4, 0, 1, 3, 0, 1, 3, 4, 4, 4, 1, 0, 2, 3, 4, 0, 1, 1, 0, 3, 4, 4, 3, 2, 4, 1, 3, 0, 2, 3, 0, 2, 1, 0, 0, 3, 0, 1, 0, 1, 0, 1, 4, 4, 1, 0, 4, 2, 0, 3, 2, 1, 4, 1, 3, 3, 1, 1, 4, 3, 2, 0, 2, 4, 2, 2, 4, 2, 1, 2, 4, 4, 0, 2, 2, 0, 4, 2, 0, 3, 2, 4, 1, 1, 3, 0, 4, 4, 2, 3, 2, 3, 0, 4, 4, 0, 2, 1, 4, 3, 1, 0] pubkeycol940 = [0, 3, 4, 0, 3, 4, 0, 2, 2, 3, 0, 4, 1, 4, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 3, 2, 4, 1, 0, 2, 4, 2, 4, 3, 0, 3, 3, 0, 2, 0, 1, 1, 1, 2, 3, 1, 2, 4, 1, 3, 2, 3, 3, 1, 4, 2, 1, 0, 1, 3, 0, 3, 1, 0, 0, 3, 0, 4, 4, 0, 2, 1, 1, 3, 4, 1, 2, 3, 3, 4, 2, 2, 3, 4, 0, 0, 4, 2, 1, 1, 1, 2, 2, 0, 1, 3, 2, 3, 4, 1, 1, 4, 0, 3, 0, 0, 4, 2, 4, 2, 0, 1, 2, 0, 0, 1, 1, 4, 0, 3, 2, 3, 0, 2, 4, 1, 0, 1, 0, 4, 3, 0, 2, 0, 0, 1, 3, 2, 0, 2, 0, 1, 2, 3, 0, 0, 3, 4, 0, 0, 0, 3, 2, 2, 3, 1, 4, 1, 2, 4, 3, 3, 2, 3, 2, 0, 4, 1, 1, 2, 2, 0, 4, 4, 4, 1, 1, 0, 2, 1, 4, 0, 2, 2, 4, 4, 2, 1, 4, 0, 3, 2, 0, 3, 0, 2, 4, 3, 0, 0, 1, 0, 3, 1, 4, 2, 2, 1, 3, 2, 2, 2, 4, 4, 4, 3, 3, 1, 0, 0, 1, 2, 0, 2, 3, 3, 3, 2, 4, 2, 1, 4, 4, 4, 4, 2, 3, 1, 3, 1, 1, 3, 4, 1, 4, 3, 1, 2, 4, 4, 1, 2, 1, 3, 1, 0, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 0, 0, 2, 3, 1, 1, 4, 0, 1, 0, 1, 0, 3, 4, 1, 2, 1, 2, 2, 1, 0, 2, 0, 4, 1, 1, 0, 3, 3, 3, 3, 3, 1, 1, 0, 3, 4, 3, 3, 0, 2, 4, 2, 0, 4, 3, 4, 0, 2, 4, 3, 1, 3, 4] pubkeycol941 = [3, 1, 2, 1, 4, 4, 4, 2, 4, 2, 3, 3, 2, 2, 3, 0, 4, 0, 4, 3, 4, 1, 1, 3, 4, 0, 1, 1, 3, 0, 3, 0, 3, 3, 3, 3, 2, 3, 1, 3, 3, 0, 4, 3, 2, 4, 0, 4, 4, 0, 1, 2, 1, 0, 1, 3, 3, 0, 1, 1, 1, 2, 1, 1, 4, 1, 4, 2, 2, 3, 1, 0, 3, 1, 1, 1, 3, 2, 4, 4, 3, 3, 2, 2, 3, 1, 1, 1, 4, 0, 2, 2, 0, 0, 0, 4, 2, 4, 2, 3, 0, 4, 3, 3, 1, 2, 4, 1, 4, 0, 0, 3, 2, 2, 1, 3, 2, 3, 3, 3, 0, 3, 0, 0, 0, 2, 4, 3, 1, 3, 1, 0, 2, 3, 3, 0, 2, 2, 0, 3, 3, 2, 3, 4, 1, 2, 3, 3, 1, 4, 3, 3, 0, 4, 4, 3, 2, 4, 0, 4, 4, 4, 4, 4, 2, 3, 1, 0, 2, 1, 4, 3, 2, 2, 2, 1, 1, 1, 2, 3, 2, 0, 4, 4, 0, 2, 4, 4, 4, 4, 1, 2, 0, 1, 3, 2, 3, 0, 4, 0, 3, 0, 3, 3, 3, 0, 4, 4, 3, 2, 4, 2, 4, 1, 3, 4, 1, 1, 0, 3, 4, 3, 2, 0, 0, 3, 4, 1, 4, 0, 2, 3, 3, 4, 0, 0, 0, 3, 0, 4, 0, 3, 4, 0, 1, 4, 3, 4, 1, 1, 3, 3, 1, 0, 3, 4, 0, 2, 1, 1, 1, 3, 4, 0, 1, 2, 2, 4, 0, 4, 2, 4, 1, 4, 3, 2, 2, 1, 0, 4, 0, 1, 1, 2, 0, 3, 3, 3, 4, 4, 0, 4, 2, 3, 2, 3, 3, 0, 4, 3, 1, 2, 1, 2, 2, 4, 3, 2, 1, 2, 0, 2, 0, 0, 4, 1, 3, 1, 1, 3] pubkeycol942 = [1, 3, 4, 2, 2, 4, 4, 2, 2, 1, 0, 0, 4, 3, 1, 4, 4, 4, 2, 2, 3, 0, 0, 3, 2, 4, 2, 4, 1, 0, 3, 2, 3, 2, 0, 3, 0, 0, 4, 0, 2, 4, 1, 2, 2, 3, 0, 3, 0, 1, 2, 4, 1, 1, 3, 0, 2, 0, 0, 3, 2, 2, 4, 2, 4, 0, 0, 2, 0, 2, 1, 4, 3, 2, 4, 3, 0, 0, 2, 1, 0, 0, 3, 1, 1, 1, 4, 2, 4, 1, 4, 0, 4, 1, 3, 4, 2, 1, 4, 4, 0, 3, 0, 0, 0, 1, 0, 2, 4, 3, 4, 1, 3, 2, 4, 0, 2, 0, 0, 4, 0, 0, 0, 4, 0, 3, 1, 0, 2, 2, 4, 0, 0, 2, 0, 0, 4, 2, 4, 4, 3, 1, 1, 4, 1, 2, 2, 0, 2, 2, 2, 3, 4, 0, 3, 3, 1, 4, 2, 4, 1, 0, 2, 3, 3, 3, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 4, 2, 4, 2, 4, 4, 4, 0, 1, 1, 3, 1, 4, 4, 1, 4, 1, 4, 3, 2, 4, 1, 4, 4, 3, 3, 0, 4, 0, 0, 1, 1, 0, 4, 2, 2, 0, 0, 2, 2, 0, 2, 4, 0, 2, 1, 1, 2, 3, 0, 4, 0, 0, 3, 3, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 3, 3, 1, 3, 3, 4, 3, 3, 4, 3, 1, 1, 4, 2, 3, 0, 4, 3, 1, 0, 1, 4, 4, 1, 1, 4, 2, 3, 4, 3, 4, 3, 3, 3, 1, 4, 4, 3, 4, 3, 1, 3, 4, 4, 1, 3, 1, 3, 4, 0, 2, 4, 1, 3, 1, 2, 1, 3, 3, 4, 0, 0, 4, 4, 0, 2, 4, 1, 3, 1, 1, 2, 3, 1, 2, 0, 4] pubkeycol943 = [2, 3, 0, 3, 0, 1, 1, 4, 0, 4, 0, 4, 0, 4, 3, 1, 3, 2, 2, 3, 4, 2, 3, 0, 0, 4, 3, 4, 2, 4, 1, 3, 0, 0, 3, 3, 4, 4, 4, 3, 4, 4, 2, 1, 0, 0, 4, 0, 4, 4, 1, 3, 2, 1, 1, 3, 2, 4, 2, 3, 0, 3, 0, 4, 3, 2, 2, 0, 3, 2, 1, 2, 2, 0, 0, 2, 4, 3, 4, 1, 0, 2, 0, 1, 4, 1, 4, 3, 3, 1, 2, 3, 3, 4, 1, 1, 2, 4, 2, 0, 3, 4, 3, 2, 4, 3, 0, 3, 2, 4, 0, 2, 0, 0, 4, 3, 0, 0, 4, 4, 0, 0, 3, 3, 1, 1, 3, 0, 0, 0, 4, 3, 3, 3, 0, 0, 1, 4, 4, 2, 4, 0, 2, 1, 0, 0, 4, 2, 2, 4, 3, 0, 4, 2, 4, 1, 3, 4, 0, 0, 2, 4, 1, 4, 4, 3, 2, 2, 4, 1, 1, 4, 0, 4, 3, 1, 4, 0, 0, 1, 3, 0, 1, 1, 1, 0, 0, 0, 1, 3, 3, 2, 4, 3, 2, 3, 0, 1, 2, 2, 4, 1, 4, 1, 2, 4, 1, 3, 4, 0, 2, 3, 4, 0, 4, 2, 4, 2, 0, 3, 2, 2, 1, 0, 2, 1, 1, 3, 2, 3, 1, 2, 1, 0, 3, 4, 2, 0, 2, 2, 0, 3, 1, 0, 1, 1, 4, 0, 3, 0, 4, 0, 2, 2, 1, 0, 3, 4, 3, 2, 1, 3, 1, 3, 4, 4, 0, 3, 3, 3, 3, 0, 3, 4, 0, 2, 4, 3, 0, 3, 3, 1, 4, 1, 3, 0, 1, 3, 0, 4, 2, 1, 1, 4, 2, 2, 0, 0, 2, 4, 3, 1, 2, 3, 3, 0, 3, 2, 1, 3, 0, 3, 1, 4, 0, 1, 3, 3, 2, 0] pubkeycol944 = [3, 3, 0, 3, 4, 3, 0, 2, 1, 3, 4, 3, 1, 3, 3, 3, 3, 1, 0, 2, 1, 2, 1, 0, 0, 4, 1, 2, 4, 1, 1, 2, 4, 2, 3, 0, 2, 4, 4, 2, 3, 4, 2, 3, 3, 1, 0, 3, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 3, 4, 1, 0, 3, 0, 3, 0, 3, 0, 2, 0, 4, 2, 3, 1, 3, 4, 3, 0, 4, 3, 3, 1, 0, 4, 0, 0, 0, 3, 1, 2, 4, 2, 3, 4, 2, 1, 4, 2, 3, 4, 1, 2, 2, 2, 4, 1, 4, 3, 0, 3, 0, 4, 1, 3, 1, 0, 4, 1, 0, 0, 0, 0, 4, 0, 3, 4, 0, 3, 3, 3, 3, 1, 3, 3, 4, 0, 4, 3, 2, 3, 2, 0, 0, 0, 3, 2, 0, 3, 4, 2, 4, 0, 4, 4, 2, 2, 1, 3, 3, 2, 0, 0, 3, 1, 0, 0, 4, 3, 3, 3, 3, 3, 2, 0, 4, 2, 1, 2, 3, 0, 2, 4, 0, 4, 4, 3, 3, 1, 0, 1, 2, 1, 0, 3, 1, 2, 3, 2, 0, 3, 0, 1, 2, 0, 3, 3, 2, 0, 3, 2, 4, 3, 2, 2, 2, 1, 2, 1, 2, 4, 2, 0, 2, 3, 1, 3, 1, 4, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 3, 1, 1, 1, 1, 1, 4, 2, 2, 2, 1, 0, 1, 4, 2, 0, 0, 1, 0, 2, 2, 4, 0, 0, 1, 4, 4, 3, 2, 1, 0, 0, 2, 2, 0, 1, 3, 0, 2, 4, 1, 3, 3, 4, 3, 3, 3, 4, 1, 1, 1, 0, 4, 2, 4, 0, 3, 2, 2, 2, 1, 3, 3, 0, 4, 4, 3, 2, 2, 0, 3, 1, 2, 0, 3, 4, 1, 2, 2, 1, 1] pubkeycol945 = [3, 0, 1, 0, 3, 0, 4, 0, 2, 0, 4, 1, 4, 2, 3, 2, 1, 1, 3, 3, 4, 1, 2, 3, 2, 1, 0, 3, 0, 4, 1, 4, 3, 4, 0, 4, 4, 0, 3, 2, 1, 0, 1, 2, 3, 0, 3, 4, 2, 2, 1, 3, 4, 2, 3, 2, 3, 3, 4, 3, 0, 3, 2, 2, 1, 1, 1, 3, 4, 4, 1, 2, 4, 4, 0, 3, 4, 0, 3, 2, 2, 1, 2, 0, 0, 0, 0, 0, 3, 2, 0, 4, 1, 2, 1, 0, 3, 1, 2, 3, 1, 0, 3, 4, 4, 1, 0, 2, 4, 2, 3, 2, 0, 0, 0, 3, 1, 4, 3, 3, 0, 2, 2, 1, 3, 3, 2, 0, 2, 2, 1, 4, 0, 2, 0, 0, 3, 2, 3, 3, 2, 1, 2, 3, 0, 0, 0, 3, 2, 0, 3, 3, 1, 4, 0, 2, 1, 2, 4, 2, 2, 3, 4, 0, 4, 0, 2, 0, 0, 3, 4, 3, 3, 1, 0, 2, 1, 1, 3, 0, 1, 0, 4, 4, 2, 3, 4, 1, 4, 1, 2, 4, 2, 0, 1, 2, 1, 0, 0, 3, 1, 0, 1, 1, 1, 0, 2, 0, 4, 0, 4, 4, 0, 1, 0, 4, 2, 0, 3, 3, 2, 0, 1, 3, 0, 3, 2, 1, 3, 3, 0, 1, 2, 0, 0, 4, 1, 4, 2, 3, 1, 2, 3, 1, 3, 0, 4, 4, 2, 1, 0, 1, 0, 1, 0, 2, 3, 1, 1, 3, 3, 2, 0, 4, 0, 0, 4, 1, 4, 0, 0, 1, 0, 3, 0, 2, 4, 3, 4, 0, 2, 3, 2, 4, 3, 3, 3, 4, 3, 2, 0, 4, 2, 0, 3, 1, 1, 3, 0, 3, 2, 0, 4, 4, 2, 1, 2, 2, 2, 1, 2, 4, 0, 0, 1, 4, 3, 3, 4, 0] pubkeycol946 = [1, 2, 4, 1, 4, 2, 1, 2, 0, 2, 0, 1, 4, 1, 2, 3, 4, 3, 4, 2, 1, 4, 2, 0, 1, 2, 4, 3, 4, 4, 4, 3, 0, 3, 0, 2, 1, 0, 3, 1, 0, 1, 1, 4, 2, 3, 2, 3, 4, 0, 2, 3, 0, 2, 3, 1, 3, 4, 1, 1, 1, 0, 0, 4, 4, 2, 4, 3, 2, 3, 1, 4, 4, 3, 2, 0, 1, 0, 1, 3, 3, 1, 0, 3, 3, 2, 2, 1, 3, 2, 2, 0, 3, 1, 1, 0, 3, 1, 4, 4, 2, 0, 2, 1, 4, 2, 0, 1, 4, 4, 1, 1, 1, 2, 0, 4, 3, 4, 4, 1, 1, 3, 2, 2, 1, 1, 3, 4, 2, 2, 1, 1, 2, 2, 0, 2, 3, 0, 1, 4, 4, 0, 1, 1, 4, 4, 4, 0, 3, 3, 0, 1, 1, 4, 2, 3, 3, 2, 3, 3, 4, 0, 4, 1, 1, 4, 1, 0, 2, 1, 3, 1, 3, 4, 3, 3, 4, 4, 1, 3, 3, 0, 3, 0, 3, 2, 0, 1, 0, 1, 4, 2, 1, 4, 2, 2, 4, 2, 0, 4, 3, 0, 1, 0, 0, 1, 0, 4, 0, 3, 1, 1, 4, 4, 2, 0, 0, 4, 3, 2, 0, 4, 1, 4, 4, 0, 1, 3, 2, 0, 0, 1, 4, 1, 2, 3, 2, 3, 3, 2, 3, 3, 0, 2, 1, 4, 4, 3, 1, 4, 2, 0, 2, 3, 4, 3, 4, 0, 2, 4, 3, 4, 2, 4, 2, 4, 1, 0, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 1, 1, 3, 3, 3, 3, 0, 4, 3, 4, 2, 4, 2, 1, 1, 4, 4, 0, 3, 3, 1, 0, 1, 2, 1, 0, 4, 4, 0, 1, 2, 3, 4, 3, 0, 3, 0, 2, 1, 0] pubkeycol947 = [2, 4, 3, 1, 4, 0, 3, 4, 2, 4, 1, 0, 3, 1, 1, 3, 0, 2, 4, 1, 4, 2, 3, 2, 4, 2, 0, 1, 0, 1, 4, 4, 0, 2, 2, 0, 2, 1, 3, 4, 2, 2, 0, 2, 1, 1, 3, 0, 1, 1, 2, 4, 1, 1, 0, 1, 4, 1, 3, 4, 2, 3, 4, 4, 1, 4, 2, 2, 0, 3, 3, 2, 1, 3, 2, 4, 3, 1, 4, 4, 4, 3, 1, 1, 0, 1, 2, 0, 3, 0, 2, 2, 3, 4, 0, 2, 3, 1, 4, 1, 1, 1, 1, 1, 0, 0, 0, 1, 3, 3, 3, 3, 1, 4, 2, 4, 3, 3, 3, 0, 2, 3, 0, 0, 2, 4, 2, 1, 3, 0, 3, 2, 0, 2, 3, 3, 4, 2, 3, 4, 0, 4, 1, 0, 0, 3, 2, 4, 1, 4, 3, 0, 2, 0, 2, 4, 1, 1, 1, 1, 0, 2, 4, 3, 2, 3, 4, 2, 4, 3, 0, 4, 1, 0, 1, 4, 4, 0, 0, 2, 4, 2, 1, 0, 2, 4, 1, 4, 1, 4, 3, 3, 0, 4, 1, 2, 4, 4, 0, 2, 0, 1, 4, 0, 4, 1, 4, 1, 4, 4, 1, 3, 4, 3, 4, 4, 0, 3, 0, 1, 4, 0, 2, 1, 3, 3, 2, 1, 3, 2, 4, 2, 2, 0, 2, 0, 0, 4, 2, 3, 2, 1, 0, 4, 0, 2, 4, 1, 4, 3, 1, 4, 3, 3, 1, 3, 2, 2, 0, 2, 0, 0, 4, 0, 2, 4, 0, 1, 4, 0, 2, 2, 0, 4, 1, 1, 0, 3, 2, 0, 3, 1, 4, 0, 4, 4, 1, 4, 3, 2, 2, 1, 0, 3, 2, 1, 2, 4, 1, 0, 4, 2, 3, 1, 2, 2, 4, 2, 0, 2, 0, 0, 2, 4, 0, 0, 0, 0, 1, 1] pubkeycol948 = [0, 0, 3, 3, 3, 3, 1, 1, 4, 2, 3, 3, 0, 1, 3, 1, 0, 2, 4, 1, 4, 4, 3, 0, 1, 2, 3, 4, 0, 4, 3, 0, 4, 2, 2, 0, 1, 0, 3, 0, 0, 3, 2, 1, 2, 2, 2, 0, 2, 4, 1, 4, 2, 2, 4, 2, 1, 4, 3, 3, 1, 2, 1, 2, 3, 0, 3, 4, 1, 0, 3, 2, 4, 4, 2, 0, 0, 0, 0, 0, 3, 1, 2, 3, 2, 3, 0, 3, 2, 1, 4, 0, 0, 4, 2, 2, 4, 0, 0, 0, 3, 4, 1, 1, 1, 3, 2, 2, 0, 4, 0, 1, 0, 3, 1, 1, 2, 4, 0, 0, 3, 2, 4, 4, 4, 0, 1, 1, 4, 3, 1, 3, 0, 4, 4, 2, 2, 2, 1, 0, 0, 1, 4, 3, 0, 4, 1, 4, 0, 2, 2, 2, 4, 4, 0, 4, 2, 3, 3, 3, 1, 0, 4, 4, 3, 4, 4, 2, 0, 4, 2, 4, 2, 4, 0, 1, 3, 0, 4, 4, 4, 3, 2, 3, 1, 4, 1, 0, 2, 1, 0, 1, 1, 1, 2, 4, 4, 2, 0, 3, 1, 3, 2, 2, 1, 2, 0, 4, 0, 4, 0, 2, 2, 3, 3, 0, 1, 3, 2, 3, 1, 4, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 4, 2, 2, 4, 4, 3, 0, 4, 0, 1, 0, 2, 2, 1, 0, 2, 4, 0, 0, 2, 1, 4, 2, 4, 2, 0, 4, 1, 4, 4, 3, 1, 4, 3, 1, 0, 1, 4, 4, 4, 4, 4, 4, 1, 3, 1, 1, 2, 3, 0, 3, 3, 3, 4, 4, 3, 1, 0, 4, 3, 4, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 3, 0, 4, 1, 0, 1, 4, 3, 3, 4, 0, 2, 4, 3, 3, 2, 2] pubkeycol949 = [2, 2, 4, 1, 3, 3, 0, 2, 4, 1, 3, 4, 2, 3, 2, 0, 4, 0, 3, 0, 3, 1, 0, 2, 4, 4, 0, 1, 2, 1, 2, 3, 0, 1, 3, 2, 3, 3, 4, 4, 1, 0, 0, 0, 0, 1, 4, 3, 4, 1, 1, 1, 4, 0, 1, 4, 4, 1, 4, 3, 2, 4, 2, 4, 3, 1, 1, 2, 4, 1, 0, 4, 4, 3, 0, 4, 1, 2, 2, 0, 4, 3, 1, 0, 3, 3, 4, 2, 4, 1, 1, 4, 0, 1, 2, 3, 3, 1, 4, 0, 0, 2, 1, 1, 4, 0, 1, 3, 0, 4, 1, 1, 4, 0, 2, 3, 4, 3, 3, 4, 2, 2, 4, 2, 4, 3, 3, 1, 2, 2, 1, 3, 2, 1, 3, 0, 1, 2, 0, 1, 3, 1, 1, 0, 4, 4, 1, 0, 2, 3, 4, 1, 4, 1, 3, 4, 0, 2, 0, 4, 1, 1, 2, 0, 4, 1, 1, 0, 2, 2, 2, 1, 4, 0, 4, 1, 4, 4, 3, 4, 2, 2, 0, 2, 0, 0, 2, 1, 3, 0, 2, 2, 4, 2, 0, 3, 0, 0, 1, 1, 0, 3, 4, 0, 2, 1, 1, 2, 3, 2, 2, 1, 1, 4, 3, 3, 0, 3, 3, 3, 2, 1, 1, 2, 0, 2, 4, 2, 3, 3, 1, 2, 1, 0, 0, 2, 4, 2, 0, 1, 4, 1, 2, 1, 2, 3, 3, 1, 0, 4, 1, 3, 1, 0, 2, 0, 4, 4, 4, 0, 3, 2, 3, 4, 1, 1, 0, 1, 3, 3, 2, 2, 1, 3, 2, 0, 4, 1, 2, 0, 3, 1, 1, 3, 4, 1, 3, 3, 1, 0, 0, 3, 2, 1, 2, 1, 0, 3, 1, 1, 1, 0, 2, 4, 2, 2, 4, 0, 2, 4, 0, 4, 2, 3, 3, 2, 0, 3, 3, 4] pubkeycol950 = [1, 3, 4, 2, 2, 0, 2, 3, 4, 0, 3, 3, 3, 3, 4, 4, 3, 0, 3, 2, 0, 4, 4, 0, 1, 3, 3, 4, 2, 1, 4, 2, 3, 2, 2, 2, 2, 2, 4, 2, 1, 2, 3, 0, 4, 3, 0, 4, 4, 0, 3, 0, 4, 3, 2, 1, 2, 2, 1, 4, 4, 1, 1, 0, 4, 0, 2, 2, 2, 1, 3, 2, 0, 3, 1, 0, 2, 2, 3, 2, 1, 2, 0, 1, 2, 4, 0, 4, 4, 1, 2, 2, 4, 4, 4, 4, 4, 3, 3, 0, 3, 3, 3, 0, 0, 2, 1, 4, 4, 0, 0, 1, 3, 4, 1, 2, 4, 2, 4, 1, 0, 0, 2, 1, 2, 0, 3, 1, 1, 4, 3, 1, 2, 1, 3, 2, 4, 3, 2, 3, 0, 2, 1, 2, 0, 0, 3, 1, 2, 3, 3, 2, 0, 2, 1, 3, 0, 0, 3, 4, 0, 3, 3, 1, 3, 4, 0, 1, 2, 0, 4, 3, 4, 0, 2, 3, 1, 4, 3, 0, 1, 3, 3, 2, 3, 1, 3, 3, 3, 1, 3, 1, 3, 1, 1, 0, 4, 1, 2, 2, 0, 2, 1, 3, 4, 3, 2, 0, 1, 3, 0, 3, 2, 0, 0, 4, 0, 3, 2, 4, 0, 4, 2, 4, 0, 0, 3, 0, 2, 3, 3, 4, 4, 3, 3, 1, 4, 2, 3, 0, 1, 4, 3, 4, 2, 3, 3, 2, 2, 0, 3, 3, 3, 1, 3, 1, 0, 4, 1, 3, 3, 4, 2, 0, 3, 4, 3, 1, 4, 4, 4, 1, 4, 1, 0, 2, 2, 3, 0, 2, 2, 2, 1, 2, 0, 3, 4, 0, 0, 3, 3, 1, 1, 1, 3, 3, 2, 1, 2, 2, 0, 2, 4, 2, 4, 4, 0, 3, 2, 4, 2, 4, 2, 0, 4, 0, 2, 2, 0, 1] pubkeycol951 = [4, 2, 3, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 3, 0, 3, 2, 4, 3, 4, 1, 3, 0, 3, 4, 3, 3, 0, 2, 0, 4, 1, 1, 3, 2, 0, 3, 4, 2, 3, 3, 4, 0, 0, 3, 3, 0, 3, 0, 1, 4, 3, 0, 1, 1, 0, 2, 2, 4, 1, 0, 4, 3, 4, 4, 0, 3, 2, 0, 2, 3, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 3, 1, 2, 3, 0, 4, 1, 4, 1, 3, 1, 2, 0, 2, 3, 1, 2, 4, 0, 3, 0, 2, 1, 3, 3, 4, 3, 0, 2, 3, 2, 4, 1, 1, 1, 3, 3, 4, 0, 2, 3, 1, 3, 1, 4, 0, 3, 0, 3, 2, 2, 1, 0, 0, 0, 1, 0, 2, 4, 3, 0, 0, 4, 3, 2, 0, 2, 1, 4, 2, 4, 0, 3, 0, 1, 1, 4, 3, 4, 0, 1, 0, 3, 1, 4, 3, 3, 4, 2, 4, 4, 3, 0, 0, 1, 0, 3, 0, 2, 2, 2, 3, 0, 0, 1, 4, 2, 0, 2, 4, 1, 4, 3, 0, 4, 0, 4, 3, 0, 0, 2, 1, 0, 4, 2, 4, 2, 1, 3, 1, 1, 2, 3, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 3, 4, 4, 2, 3, 4, 1, 2, 1, 3, 1, 2, 1, 2, 4, 4, 3, 4, 4, 1, 0, 3, 4, 2, 0, 3, 4, 2, 4, 3, 3, 0, 1, 4, 1, 2, 4, 2, 4, 2, 1, 0, 1, 4, 4, 2, 2, 1, 2, 1, 3, 3, 1, 3, 4, 1, 4, 1, 0, 3, 3, 1, 4, 2, 1, 1, 4, 0, 3, 4, 0, 1, 2, 1, 1, 2, 1, 0, 4, 3, 1, 0, 0, 4, 1, 3, 1, 0, 1, 3, 4, 2, 0, 3, 1, 2] pubkeycol952 = [0, 3, 4, 0, 1, 2, 1, 3, 3, 2, 4, 2, 1, 3, 1, 4, 2, 1, 4, 3, 3, 0, 3, 2, 0, 1, 2, 2, 0, 4, 0, 0, 0, 3, 0, 0, 2, 0, 4, 2, 1, 1, 1, 1, 1, 3, 4, 0, 1, 3, 2, 2, 3, 0, 3, 1, 1, 0, 0, 1, 4, 1, 1, 4, 3, 2, 3, 2, 4, 4, 1, 1, 4, 4, 2, 0, 3, 1, 0, 2, 3, 1, 3, 0, 4, 2, 1, 1, 1, 3, 1, 3, 1, 3, 0, 1, 0, 3, 1, 0, 1, 2, 3, 1, 4, 0, 2, 4, 3, 3, 2, 4, 2, 4, 4, 3, 4, 3, 0, 3, 2, 1, 0, 0, 2, 4, 4, 4, 0, 3, 0, 1, 4, 3, 4, 0, 1, 2, 3, 2, 0, 1, 0, 0, 1, 4, 3, 4, 0, 3, 4, 2, 3, 1, 1, 1, 3, 3, 2, 0, 1, 1, 0, 0, 3, 4, 0, 2, 0, 2, 4, 0, 4, 4, 2, 0, 3, 3, 4, 0, 4, 1, 4, 3, 2, 0, 3, 0, 3, 4, 1, 1, 2, 4, 1, 3, 2, 2, 0, 4, 4, 2, 1, 4, 0, 0, 2, 1, 0, 2, 3, 0, 3, 0, 3, 4, 1, 1, 4, 1, 2, 0, 1, 0, 2, 2, 3, 2, 0, 1, 0, 3, 4, 3, 4, 1, 4, 2, 0, 4, 1, 3, 3, 0, 2, 2, 4, 1, 3, 0, 1, 2, 3, 2, 1, 2, 0, 2, 1, 1, 4, 1, 1, 3, 0, 1, 3, 4, 4, 2, 2, 0, 2, 3, 4, 0, 0, 2, 4, 4, 3, 2, 0, 1, 1, 1, 1, 4, 0, 4, 1, 1, 1, 0, 4, 3, 4, 2, 2, 1, 3, 3, 2, 1, 0, 4, 1, 2, 3, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol953 = [0, 3, 2, 1, 4, 4, 0, 2, 2, 3, 3, 3, 4, 4, 1, 2, 0, 4, 0, 2, 2, 0, 4, 1, 4, 4, 3, 3, 0, 2, 3, 0, 4, 2, 3, 4, 0, 0, 2, 4, 3, 2, 4, 3, 0, 1, 0, 4, 4, 4, 0, 4, 2, 1, 4, 3, 0, 4, 4, 3, 2, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 2, 2, 2, 0, 3, 4, 3, 2, 4, 4, 4, 2, 4, 0, 1, 2, 1, 4, 1, 0, 3, 4, 1, 2, 4, 2, 0, 3, 3, 2, 0, 3, 4, 0, 0, 0, 2, 1, 3, 2, 3, 2, 2, 0, 1, 4, 1, 1, 2, 3, 3, 0, 0, 4, 2, 4, 3, 1, 1, 4, 4, 0, 3, 3, 1, 1, 4, 1, 4, 3, 4, 3, 0, 3, 1, 4, 4, 2, 4, 4, 2, 0, 3, 4, 4, 0, 2, 2, 4, 3, 4, 3, 0, 1, 4, 2, 3, 1, 3, 1, 0, 4, 4, 2, 3, 0, 4, 0, 0, 2, 0, 2, 4, 0, 0, 3, 1, 4, 4, 0, 1, 3, 3, 4, 1, 1, 1, 0, 3, 0, 1, 4, 0, 3, 4, 4, 1, 3, 3, 2, 2, 0, 3, 2, 0, 1, 0, 1, 1, 2, 1, 4, 4, 1, 4, 4, 0, 3, 4, 3, 0, 1, 3, 1, 0, 0, 2, 4, 2, 0, 0, 2, 1, 2, 0, 1, 3, 1, 1, 1, 3, 0, 4, 0, 2, 2, 3, 2, 1, 1, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 0, 3, 1, 3, 1, 0, 3, 2, 3, 4, 1, 1, 4, 3, 3, 3, 0, 3, 1, 4, 2, 3, 2, 0, 1, 2, 4, 2, 4, 4, 0, 3, 4, 1, 2, 3, 1, 2, 3, 2, 1, 4, 4, 1, 3, 1, 2] pubkeycol954 = [4, 2, 2, 2, 1, 0, 4, 2, 0, 4, 4, 0, 4, 2, 2, 3, 4, 3, 0, 1, 2, 1, 2, 0, 4, 1, 1, 4, 3, 3, 2, 3, 2, 1, 3, 3, 4, 4, 2, 2, 2, 3, 2, 2, 0, 3, 4, 0, 1, 2, 2, 3, 4, 4, 0, 1, 0, 3, 2, 3, 1, 1, 2, 4, 3, 3, 3, 3, 0, 4, 1, 1, 1, 4, 1, 4, 0, 2, 4, 0, 4, 2, 1, 4, 2, 3, 2, 3, 2, 2, 3, 2, 0, 4, 0, 4, 0, 4, 3, 1, 3, 2, 4, 1, 4, 1, 3, 4, 2, 4, 0, 4, 1, 4, 1, 1, 2, 0, 2, 4, 3, 1, 3, 1, 4, 4, 3, 1, 0, 3, 0, 0, 2, 0, 2, 3, 3, 1, 2, 0, 3, 3, 3, 1, 0, 0, 3, 0, 3, 1, 2, 3, 2, 3, 0, 1, 4, 0, 2, 0, 0, 4, 1, 2, 2, 0, 2, 3, 1, 1, 0, 2, 0, 4, 0, 2, 0, 4, 0, 2, 4, 2, 2, 2, 3, 3, 2, 4, 0, 3, 2, 2, 0, 4, 2, 0, 2, 1, 4, 3, 3, 4, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 4, 2, 4, 1, 4, 4, 2, 1, 3, 0, 1, 4, 3, 4, 1, 3, 1, 4, 3, 4, 4, 0, 0, 4, 4, 3, 4, 0, 1, 3, 3, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 4, 0, 0, 1, 0, 1, 4, 1, 3, 0, 3, 2, 2, 3, 2, 3, 3, 3, 0, 3, 2, 2, 3, 2, 1, 2, 1, 4, 1, 0, 0, 3, 1, 2, 1, 2, 4, 1, 0, 0, 0, 1, 1, 2, 4, 2, 4, 3, 4, 0, 4, 1, 3, 2, 3, 4, 0, 1, 4, 3, 2, 3] pubkeycol955 = [3, 3, 2, 4, 3, 3, 1, 4, 2, 0, 0, 3, 2, 4, 4, 2, 2, 3, 1, 4, 2, 2, 1, 1, 2, 4, 1, 1, 2, 0, 2, 3, 3, 0, 0, 1, 3, 2, 1, 3, 2, 0, 4, 2, 4, 1, 3, 4, 2, 4, 3, 3, 1, 3, 1, 2, 2, 1, 4, 4, 0, 3, 4, 2, 2, 2, 4, 4, 4, 1, 1, 0, 4, 4, 3, 3, 3, 3, 3, 0, 0, 3, 3, 4, 2, 3, 2, 3, 2, 3, 2, 0, 4, 1, 4, 4, 4, 0, 0, 2, 3, 4, 3, 3, 2, 0, 4, 4, 2, 3, 4, 0, 3, 1, 1, 1, 0, 4, 3, 3, 1, 3, 3, 0, 0, 4, 1, 4, 1, 3, 0, 1, 2, 2, 1, 3, 4, 1, 2, 2, 3, 2, 4, 2, 4, 2, 1, 0, 3, 1, 2, 0, 2, 1, 3, 3, 3, 4, 2, 1, 0, 2, 1, 2, 4, 3, 2, 2, 4, 3, 0, 0, 4, 2, 1, 0, 1, 4, 0, 3, 0, 1, 1, 3, 3, 4, 2, 1, 2, 3, 4, 1, 2, 1, 1, 3, 4, 4, 2, 1, 2, 0, 0, 1, 3, 2, 1, 4, 1, 2, 2, 1, 3, 3, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 3, 4, 3, 0, 4, 4, 4, 3, 4, 0, 0, 4, 3, 0, 1, 4, 3, 3, 3, 3, 2, 4, 1, 2, 2, 0, 4, 4, 2, 4, 1, 2, 3, 4, 1, 0, 4, 4, 4, 2, 4, 3, 3, 3, 1, 4, 2, 4, 4, 4, 1, 1, 0, 1, 1, 0, 3, 1, 0, 4, 2, 4, 3, 3, 2, 2, 4, 4, 3, 1, 0, 2, 1, 0, 1, 0, 2, 1, 3, 0, 4, 2, 2, 1, 2, 3, 4, 1, 1, 4, 3, 3, 1, 1, 3] pubkeycol956 = [1, 3, 3, 3, 2, 4, 4, 3, 0, 1, 4, 4, 4, 4, 3, 3, 4, 4, 3, 2, 1, 4, 1, 4, 2, 3, 0, 0, 3, 1, 4, 0, 0, 2, 4, 1, 3, 2, 3, 4, 4, 4, 3, 3, 2, 3, 1, 3, 0, 0, 0, 4, 3, 2, 0, 3, 2, 0, 1, 4, 4, 3, 1, 3, 0, 3, 4, 0, 3, 4, 0, 2, 2, 4, 3, 0, 4, 2, 2, 0, 3, 0, 3, 1, 2, 0, 0, 0, 3, 1, 3, 4, 2, 1, 4, 0, 0, 0, 2, 2, 2, 2, 4, 2, 1, 2, 4, 1, 1, 0, 0, 1, 3, 0, 0, 0, 4, 4, 0, 4, 1, 1, 4, 2, 4, 3, 0, 3, 4, 4, 0, 0, 2, 0, 0, 1, 4, 0, 2, 3, 3, 4, 2, 1, 4, 0, 0, 1, 1, 0, 1, 3, 1, 1, 0, 4, 3, 0, 1, 4, 4, 4, 1, 1, 2, 1, 0, 2, 1, 0, 3, 1, 4, 1, 3, 2, 2, 4, 3, 4, 3, 0, 0, 2, 2, 0, 4, 4, 3, 2, 1, 1, 3, 3, 0, 2, 2, 0, 4, 1, 1, 2, 0, 2, 1, 3, 1, 2, 0, 0, 1, 3, 0, 4, 2, 4, 4, 0, 1, 0, 2, 2, 3, 0, 3, 3, 0, 4, 0, 0, 2, 0, 1, 3, 0, 1, 2, 1, 1, 4, 4, 0, 1, 2, 3, 3, 0, 4, 2, 4, 4, 1, 3, 2, 0, 0, 0, 4, 4, 4, 4, 0, 1, 4, 2, 1, 0, 3, 0, 3, 3, 3, 4, 3, 2, 2, 0, 3, 2, 4, 3, 0, 3, 4, 0, 1, 3, 0, 0, 4, 1, 0, 2, 3, 0, 1, 4, 4, 4, 3, 4, 0, 0, 1, 3, 2, 2, 3, 4, 3, 4, 3, 2, 0, 3, 1, 2, 1, 3, 1] pubkeycol957 = [3, 4, 1, 0, 4, 1, 1, 2, 2, 1, 0, 4, 3, 1, 0, 1, 4, 3, 3, 2, 0, 1, 2, 0, 0, 3, 4, 1, 4, 0, 0, 2, 3, 4, 2, 1, 3, 3, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 0, 1, 2, 3, 3, 3, 1, 3, 3, 1, 3, 0, 1, 3, 4, 1, 2, 1, 4, 1, 2, 1, 4, 2, 0, 3, 4, 4, 0, 4, 4, 1, 4, 1, 3, 4, 3, 1, 1, 0, 2, 2, 1, 0, 3, 0, 4, 0, 0, 1, 4, 4, 0, 1, 4, 2, 3, 1, 0, 0, 3, 2, 0, 0, 3, 4, 2, 0, 1, 4, 2, 0, 0, 2, 4, 2, 4, 1, 2, 0, 4, 1, 1, 2, 2, 0, 3, 3, 2, 0, 4, 2, 0, 2, 2, 0, 0, 3, 4, 4, 2, 0, 0, 0, 4, 2, 3, 1, 0, 0, 0, 1, 3, 4, 0, 0, 2, 4, 1, 4, 1, 4, 2, 1, 3, 3, 1, 3, 0, 0, 1, 2, 4, 4, 3, 0, 3, 4, 3, 1, 2, 1, 4, 3, 0, 2, 3, 0, 3, 0, 2, 0, 0, 0, 0, 3, 1, 3, 4, 4, 3, 3, 0, 3, 3, 3, 2, 4, 0, 3, 2, 1, 3, 0, 1, 4, 3, 2, 2, 2, 4, 3, 1, 0, 0, 3, 0, 3, 3, 4, 0, 2, 2, 0, 0, 2, 1, 3, 2, 1, 3, 2, 3, 4, 4, 2, 0, 4, 2, 4, 3, 0, 4, 2, 1, 0, 2, 0, 4, 2, 1, 0, 2, 4, 0, 2, 0, 3, 1, 0, 2, 2, 4, 0, 3, 0, 3, 1, 2, 0, 3, 3, 4, 0, 1, 3, 0, 0, 3, 3, 1, 2, 1, 3, 3, 1, 1, 0, 1, 4, 2, 4, 3, 0, 0, 0, 3, 1, 4, 1, 3, 4] pubkeycol958 = [4, 1, 2, 2, 3, 2, 0, 0, 2, 3, 0, 3, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 1, 2, 3, 1, 0, 2, 1, 4, 4, 2, 2, 4, 2, 2, 4, 3, 0, 4, 0, 2, 3, 1, 0, 0, 2, 0, 2, 2, 2, 0, 4, 2, 0, 4, 1, 2, 0, 0, 3, 0, 4, 4, 2, 0, 2, 4, 3, 0, 1, 4, 0, 4, 0, 3, 3, 0, 1, 3, 0, 2, 2, 1, 3, 4, 4, 4, 0, 1, 1, 4, 4, 4, 4, 2, 0, 1, 1, 1, 2, 4, 0, 4, 2, 3, 2, 1, 2, 2, 2, 0, 0, 2, 0, 3, 1, 4, 1, 2, 0, 0, 4, 2, 3, 1, 1, 1, 3, 1, 3, 3, 0, 4, 2, 1, 2, 4, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 2, 3, 2, 2, 4, 0, 0, 0, 0, 3, 1, 2, 1, 1, 0, 2, 1, 0, 4, 0, 0, 3, 1, 2, 0, 4, 0, 1, 3, 0, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 2, 0, 4, 0, 0, 1, 1, 0, 3, 2, 1, 3, 2, 0, 0, 0, 0, 0, 2, 3, 1, 1, 4, 0, 2, 0, 1, 3, 0, 1, 4, 4, 3, 1, 2, 3, 1, 2, 3, 1, 2, 0, 3, 2, 1, 2, 1, 3, 3, 0, 1, 0, 2, 3, 1, 0, 0, 3, 4, 0, 1, 2, 2, 0, 3, 1, 2, 0, 4, 4, 2, 2, 4, 3, 2, 2, 0, 3, 0, 3, 3, 1, 3, 0, 4, 3, 2, 3, 0, 3, 0, 2, 0, 3, 0, 1, 1, 2, 4, 4, 3, 3, 4, 1, 4, 3, 4, 4, 0, 0, 3, 1, 1, 1, 3, 0, 2, 2, 0, 1, 0, 0, 4] pubkeycol959 = [2, 3, 0, 0, 2, 0, 2, 3, 4, 3, 0, 2, 0, 3, 2, 2, 3, 4, 4, 0, 2, 3, 1, 3, 1, 2, 1, 1, 4, 0, 1, 3, 3, 0, 0, 0, 3, 1, 3, 0, 1, 0, 4, 1, 3, 1, 1, 3, 4, 0, 1, 4, 1, 1, 0, 3, 4, 0, 2, 4, 0, 1, 2, 1, 3, 1, 3, 4, 0, 0, 3, 1, 3, 1, 1, 1, 2, 4, 4, 4, 3, 2, 2, 1, 2, 3, 2, 2, 1, 2, 2, 0, 2, 3, 4, 4, 0, 2, 2, 0, 2, 1, 4, 3, 3, 0, 4, 2, 0, 4, 3, 4, 3, 2, 3, 3, 0, 2, 0, 1, 2, 3, 4, 4, 1, 4, 0, 0, 4, 1, 1, 0, 1, 1, 1, 3, 3, 1, 0, 0, 3, 4, 4, 3, 1, 0, 2, 2, 0, 3, 1, 2, 4, 0, 3, 1, 1, 4, 3, 0, 2, 4, 0, 4, 3, 1, 3, 2, 0, 2, 4, 2, 1, 3, 4, 3, 1, 2, 3, 0, 3, 1, 4, 3, 3, 0, 0, 1, 0, 2, 4, 1, 3, 4, 0, 2, 4, 0, 4, 0, 3, 2, 2, 1, 0, 1, 3, 4, 0, 3, 3, 3, 0, 1, 2, 2, 3, 4, 3, 3, 2, 3, 3, 4, 3, 3, 2, 2, 3, 4, 2, 0, 4, 3, 0, 2, 0, 4, 3, 1, 3, 4, 3, 0, 2, 1, 3, 0, 2, 2, 3, 1, 3, 2, 4, 0, 4, 1, 3, 1, 3, 4, 3, 4, 1, 3, 3, 0, 4, 2, 0, 3, 2, 3, 0, 2, 1, 4, 4, 3, 3, 2, 1, 0, 0, 4, 1, 0, 4, 3, 0, 0, 3, 1, 0, 2, 1, 2, 3, 0, 3, 0, 1, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 3, 4, 3, 0, 2, 0, 1] pubkeycol960 = [0, 2, 0, 0, 3, 1, 0, 3, 0, 1, 1, 4, 0, 1, 3, 2, 3, 3, 4, 3, 3, 3, 0, 4, 4, 0, 4, 3, 0, 2, 3, 2, 0, 2, 4, 4, 3, 3, 4, 0, 0, 2, 0, 0, 4, 1, 4, 4, 1, 4, 1, 3, 3, 3, 3, 3, 1, 2, 4, 4, 0, 2, 0, 4, 2, 3, 2, 3, 4, 4, 0, 2, 3, 2, 0, 2, 3, 2, 0, 4, 3, 1, 4, 1, 4, 3, 3, 1, 2, 3, 3, 0, 3, 0, 2, 0, 4, 0, 1, 0, 0, 0, 3, 4, 1, 0, 0, 0, 1, 0, 0, 4, 4, 2, 2, 1, 2, 3, 0, 3, 3, 4, 1, 3, 4, 1, 4, 2, 0, 4, 3, 2, 4, 0, 2, 2, 1, 3, 2, 2, 4, 2, 2, 1, 0, 1, 1, 2, 3, 4, 1, 0, 3, 2, 0, 4, 3, 3, 3, 2, 1, 3, 4, 1, 4, 4, 4, 0, 3, 4, 2, 2, 0, 1, 1, 2, 0, 2, 3, 4, 0, 3, 2, 3, 4, 2, 0, 0, 0, 2, 2, 1, 0, 3, 3, 0, 0, 3, 4, 2, 0, 4, 0, 0, 2, 2, 1, 1, 3, 2, 2, 0, 1, 0, 0, 2, 3, 2, 2, 1, 3, 3, 4, 0, 2, 4, 1, 0, 0, 3, 4, 2, 4, 0, 3, 2, 1, 1, 0, 1, 2, 1, 1, 2, 4, 3, 0, 4, 2, 0, 0, 0, 0, 1, 4, 2, 2, 1, 3, 3, 0, 3, 3, 1, 3, 2, 1, 2, 3, 3, 4, 2, 2, 3, 0, 2, 2, 4, 2, 4, 0, 0, 1, 3, 0, 2, 0, 4, 4, 2, 2, 0, 0, 4, 3, 4, 2, 0, 3, 0, 4, 2, 1, 1, 1, 4, 2, 3, 0, 1, 0, 2, 1, 4, 4, 4, 3, 3, 2, 3] pubkeycol961 = [2, 0, 0, 1, 0, 3, 0, 1, 4, 3, 0, 3, 0, 3, 3, 4, 0, 0, 2, 4, 3, 0, 2, 0, 1, 2, 0, 4, 0, 0, 1, 2, 0, 3, 1, 1, 0, 1, 4, 2, 0, 2, 1, 1, 4, 4, 3, 4, 1, 0, 0, 4, 1, 3, 1, 1, 3, 3, 2, 0, 2, 2, 2, 0, 2, 4, 1, 2, 3, 2, 2, 0, 0, 1, 3, 3, 1, 2, 2, 1, 0, 0, 0, 4, 0, 3, 1, 4, 3, 3, 3, 2, 0, 1, 0, 0, 0, 3, 1, 3, 1, 1, 4, 4, 2, 3, 1, 1, 0, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 0, 2, 0, 0, 1, 4, 1, 4, 3, 4, 3, 2, 4, 4, 2, 2, 1, 3, 2, 4, 4, 4, 1, 0, 4, 2, 2, 3, 3, 1, 4, 3, 0, 0, 4, 1, 2, 0, 2, 3, 0, 4, 1, 4, 4, 0, 1, 0, 4, 2, 2, 0, 0, 0, 4, 4, 0, 1, 4, 2, 4, 3, 2, 1, 1, 3, 1, 0, 0, 4, 4, 0, 3, 2, 4, 2, 4, 0, 1, 2, 4, 3, 0, 1, 3, 4, 4, 2, 0, 0, 0, 3, 4, 4, 0, 2, 2, 3, 1, 1, 2, 4, 3, 0, 1, 1, 1, 2, 4, 3, 0, 2, 0, 3, 2, 1, 1, 0, 3, 0, 2, 2, 4, 0, 4, 2, 4, 0, 1, 3, 0, 0, 4, 2, 3, 0, 1, 3, 1, 4, 2, 4, 3, 4, 1, 0, 0, 1, 0, 3, 1, 2, 4, 2, 4, 3, 3, 0, 2, 1, 2, 1, 0, 4, 3, 1, 3, 2, 0, 4, 0, 4, 3, 4, 3, 0, 4, 3, 4, 1, 4, 1, 4, 2, 0, 1, 4, 3, 4, 3, 4, 1, 3, 2, 1, 2, 4, 2, 3, 4, 1] pubkeycol962 = [3, 2, 3, 4, 2, 2, 3, 3, 4, 3, 0, 1, 2, 2, 4, 3, 4, 4, 1, 4, 2, 2, 1, 0, 1, 2, 2, 2, 4, 3, 4, 2, 1, 0, 2, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 3, 4, 1, 4, 1, 2, 3, 3, 3, 0, 0, 1, 1, 4, 3, 4, 1, 0, 2, 2, 2, 1, 4, 0, 4, 2, 1, 0, 2, 4, 4, 0, 3, 3, 0, 4, 3, 4, 1, 4, 2, 3, 0, 4, 1, 1, 1, 1, 3, 4, 3, 2, 4, 1, 4, 0, 4, 2, 3, 4, 0, 1, 3, 0, 3, 3, 0, 0, 2, 3, 0, 4, 0, 0, 4, 1, 4, 4, 0, 0, 4, 1, 1, 3, 1, 2, 0, 0, 0, 2, 3, 4, 1, 4, 0, 1, 3, 1, 2, 0, 4, 2, 0, 0, 2, 3, 3, 2, 1, 2, 4, 1, 0, 4, 4, 2, 0, 1, 0, 3, 2, 2, 3, 1, 4, 1, 0, 0, 2, 1, 0, 0, 0, 0, 4, 4, 1, 3, 1, 0, 4, 1, 2, 0, 0, 3, 1, 4, 2, 2, 0, 0, 2, 0, 2, 3, 2, 2, 1, 1, 3, 3, 0, 2, 1, 0, 2, 0, 3, 4, 2, 1, 1, 1, 0, 3, 3, 0, 4, 1, 0, 1, 3, 1, 0, 3, 1, 2, 1, 2, 2, 2, 0, 1, 3, 2, 0, 2, 4, 2, 3, 2, 3, 1, 0, 4, 2, 4, 0, 4, 4, 3, 3, 3, 1, 1, 1, 2, 4, 3, 4, 4, 3, 2, 0, 2, 2, 4, 4, 3, 1, 1, 0, 2, 3, 2, 1, 4, 3, 3, 1, 0, 2, 0, 3, 1, 1, 1, 0, 1, 3, 3, 1, 4, 0, 3, 2, 3, 1, 1, 2, 3, 1, 2, 0, 0, 3, 4, 3, 3, 2, 2, 1, 0] pubkeycol963 = [0, 4, 0, 1, 2, 3, 0, 2, 3, 4, 1, 4, 2, 4, 3, 2, 1, 0, 2, 3, 2, 0, 2, 1, 1, 4, 2, 1, 4, 2, 3, 1, 3, 4, 4, 0, 0, 1, 4, 3, 1, 2, 4, 2, 3, 4, 3, 1, 1, 4, 4, 4, 3, 1, 1, 4, 4, 0, 1, 0, 2, 0, 3, 4, 2, 1, 2, 2, 2, 3, 2, 4, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 3, 3, 3, 4, 4, 2, 3, 3, 4, 4, 2, 3, 4, 1, 3, 4, 0, 0, 0, 1, 2, 2, 0, 0, 3, 0, 2, 0, 2, 0, 0, 0, 3, 2, 2, 1, 3, 3, 4, 4, 0, 1, 2, 3, 3, 4, 4, 3, 2, 4, 2, 4, 4, 1, 4, 0, 4, 3, 3, 3, 3, 2, 1, 0, 3, 0, 4, 3, 1, 2, 1, 2, 0, 0, 4, 4, 0, 3, 3, 2, 0, 4, 0, 0, 1, 1, 3, 4, 2, 2, 2, 1, 4, 1, 1, 0, 3, 0, 2, 2, 3, 1, 2, 1, 1, 1, 0, 4, 1, 1, 2, 1, 3, 4, 1, 2, 3, 3, 0, 0, 1, 3, 4, 3, 0, 1, 1, 2, 0, 4, 2, 4, 4, 2, 1, 0, 0, 2, 0, 1, 3, 4, 4, 0, 2, 0, 1, 0, 4, 2, 0, 1, 2, 4, 2, 4, 3, 0, 1, 1, 0, 2, 2, 0, 4, 3, 4, 0, 4, 2, 2, 2, 3, 4, 2, 0, 3, 1, 1, 0, 1, 3, 4, 1, 0, 0, 1, 0, 4, 1, 2, 1, 4, 3, 2, 3, 1, 1, 0, 3, 1, 4, 1, 3, 1, 2, 2, 2, 1, 0, 4, 3, 2, 0, 4, 3, 2, 1, 4, 3, 2, 4, 2, 2, 3, 3, 2, 4, 0, 0, 1, 0, 1, 1, 1, 3, 3, 3] pubkeycol964 = [2, 2, 4, 4, 1, 4, 1, 0, 1, 0, 0, 3, 3, 1, 4, 3, 4, 1, 2, 3, 4, 3, 1, 4, 0, 0, 1, 4, 4, 2, 2, 1, 4, 2, 1, 4, 2, 0, 3, 3, 1, 2, 3, 1, 3, 3, 2, 1, 0, 0, 1, 4, 1, 3, 1, 0, 4, 4, 0, 2, 4, 0, 1, 1, 2, 2, 2, 4, 2, 2, 3, 2, 4, 0, 3, 1, 3, 2, 3, 3, 3, 3, 2, 1, 2, 2, 0, 1, 2, 3, 0, 0, 0, 2, 2, 2, 1, 0, 3, 1, 4, 3, 1, 3, 3, 0, 3, 2, 2, 2, 4, 0, 4, 2, 1, 2, 4, 2, 2, 0, 2, 4, 4, 4, 0, 1, 0, 3, 1, 2, 4, 0, 3, 4, 3, 0, 0, 4, 2, 1, 2, 4, 2, 0, 1, 0, 3, 1, 2, 0, 4, 3, 3, 3, 3, 0, 2, 4, 3, 2, 4, 4, 0, 2, 1, 3, 2, 1, 0, 0, 1, 3, 2, 4, 4, 2, 3, 2, 4, 0, 4, 4, 0, 1, 2, 1, 4, 3, 1, 4, 3, 0, 4, 1, 2, 3, 2, 3, 3, 3, 0, 4, 1, 3, 0, 3, 4, 4, 4, 3, 3, 4, 3, 3, 1, 4, 4, 4, 4, 0, 2, 2, 4, 4, 1, 4, 1, 3, 1, 3, 0, 2, 0, 2, 1, 4, 0, 0, 4, 2, 3, 3, 1, 1, 4, 0, 0, 3, 4, 1, 3, 2, 4, 1, 3, 0, 0, 0, 4, 0, 1, 3, 4, 4, 4, 4, 3, 4, 3, 2, 2, 3, 4, 3, 1, 3, 3, 2, 4, 2, 2, 4, 0, 2, 3, 0, 4, 0, 1, 3, 3, 0, 2, 2, 3, 2, 0, 3, 1, 2, 1, 2, 3, 2, 1, 4, 3, 0, 3, 1, 1, 0, 1, 0, 3, 3, 0, 0, 4, 3] pubkeycol965 = [2, 1, 1, 2, 1, 2, 4, 2, 2, 0, 3, 2, 4, 0, 1, 3, 1, 3, 4, 4, 4, 3, 0, 3, 3, 0, 3, 3, 2, 4, 0, 0, 4, 1, 0, 3, 4, 2, 2, 2, 4, 3, 1, 2, 3, 2, 4, 1, 1, 3, 3, 3, 4, 3, 1, 2, 1, 3, 1, 4, 2, 2, 0, 3, 0, 4, 1, 1, 4, 2, 1, 1, 2, 1, 3, 2, 0, 1, 3, 4, 0, 2, 0, 0, 4, 3, 4, 0, 4, 4, 4, 4, 3, 1, 1, 0, 1, 4, 2, 3, 1, 4, 1, 3, 3, 1, 0, 4, 4, 3, 1, 0, 2, 3, 4, 2, 0, 4, 4, 1, 2, 0, 4, 4, 0, 3, 1, 3, 2, 4, 1, 3, 0, 2, 2, 0, 2, 2, 4, 1, 3, 0, 3, 2, 3, 3, 4, 3, 2, 2, 1, 3, 2, 1, 0, 2, 3, 0, 3, 2, 0, 4, 4, 2, 2, 3, 0, 0, 4, 3, 0, 2, 1, 3, 4, 2, 0, 3, 1, 3, 3, 3, 1, 4, 1, 2, 3, 3, 3, 0, 3, 1, 2, 0, 0, 2, 4, 0, 2, 4, 4, 1, 1, 1, 0, 2, 3, 4, 0, 2, 1, 2, 3, 2, 0, 3, 4, 2, 3, 4, 0, 0, 3, 2, 1, 4, 4, 0, 0, 1, 0, 2, 1, 2, 0, 1, 4, 0, 2, 4, 0, 4, 3, 3, 4, 3, 2, 3, 3, 0, 1, 4, 0, 2, 0, 3, 3, 2, 3, 3, 1, 0, 2, 3, 0, 1, 0, 0, 4, 0, 2, 3, 2, 1, 2, 4, 4, 2, 3, 4, 4, 1, 2, 0, 4, 4, 3, 4, 4, 2, 0, 3, 0, 1, 1, 0, 1, 2, 0, 3, 2, 4, 1, 3, 0, 4, 1, 0, 1, 2, 0, 0, 3, 4, 3, 0, 1, 0, 4, 4] pubkeycol966 = [0, 3, 4, 0, 4, 0, 0, 1, 4, 2, 2, 4, 2, 2, 0, 2, 4, 1, 1, 2, 3, 1, 3, 0, 0, 0, 0, 1, 4, 0, 0, 4, 3, 4, 2, 0, 3, 3, 1, 0, 1, 4, 0, 2, 3, 4, 0, 0, 4, 3, 2, 1, 4, 2, 0, 3, 4, 2, 2, 3, 0, 4, 1, 1, 2, 2, 4, 1, 4, 1, 2, 0, 3, 2, 3, 3, 1, 2, 0, 3, 4, 0, 2, 3, 2, 0, 2, 1, 1, 1, 4, 0, 2, 4, 4, 3, 0, 4, 3, 1, 2, 0, 0, 0, 4, 0, 1, 0, 3, 1, 4, 3, 0, 1, 3, 4, 3, 1, 1, 4, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 3, 1, 3, 1, 2, 1, 1, 3, 4, 3, 3, 0, 3, 1, 1, 2, 1, 3, 4, 1, 0, 4, 0, 0, 3, 2, 1, 4, 3, 3, 3, 0, 1, 2, 4, 0, 3, 1, 1, 2, 0, 3, 4, 2, 2, 3, 0, 3, 3, 3, 1, 1, 3, 2, 4, 0, 1, 0, 3, 0, 4, 4, 3, 2, 4, 3, 0, 1, 0, 1, 4, 3, 1, 1, 3, 3, 4, 2, 1, 1, 3, 3, 4, 0, 4, 4, 2, 3, 4, 3, 2, 3, 0, 2, 1, 2, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 2, 3, 3, 4, 3, 3, 1, 2, 4, 1, 4, 0, 2, 1, 4, 2, 4, 1, 3, 3, 1, 3, 3, 2, 1, 3, 0, 1, 1, 1, 0, 4, 2, 4, 0, 0, 1, 4, 0, 0, 0, 0, 0, 1, 2, 4, 0, 1, 3, 4, 0, 3, 0, 4, 1, 1, 0, 0, 3, 3, 2, 0, 3, 0, 4, 1, 2, 3, 0, 4, 2, 3, 0, 0, 3, 1, 3, 0, 1, 1, 1] pubkeycol967 = [3, 4, 0, 0, 0, 4, 3, 0, 4, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 3, 3, 1, 1, 2, 2, 0, 2, 3, 4, 4, 4, 4, 4, 0, 4, 2, 4, 4, 0, 1, 2, 3, 4, 2, 4, 4, 3, 3, 4, 1, 1, 0, 1, 0, 0, 4, 4, 3, 3, 0, 0, 4, 1, 2, 2, 4, 0, 0, 0, 0, 4, 1, 2, 3, 4, 4, 4, 2, 4, 0, 3, 3, 0, 4, 1, 1, 3, 4, 3, 1, 4, 1, 2, 3, 2, 0, 0, 0, 1, 0, 4, 1, 0, 3, 1, 4, 4, 3, 3, 2, 0, 3, 0, 4, 3, 3, 2, 1, 2, 2, 2, 4, 1, 2, 3, 0, 0, 3, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 2, 3, 2, 0, 4, 1, 3, 2, 3, 2, 4, 4, 4, 4, 3, 3, 2, 0, 3, 1, 3, 2, 2, 4, 0, 3, 1, 2, 1, 0, 1, 4, 3, 4, 2, 2, 2, 0, 2, 0, 2, 1, 1, 3, 4, 2, 3, 0, 4, 4, 3, 0, 0, 2, 0, 3, 3, 1, 3, 3, 0, 2, 4, 4, 1, 0, 3, 1, 0, 0, 0, 0, 2, 2, 4, 0, 4, 1, 3, 0, 4, 3, 0, 0, 0, 3, 0, 3, 1, 4, 3, 4, 3, 3, 4, 0, 1, 0, 2, 3, 0, 0, 2, 2, 0, 2, 3, 4, 2, 4, 4, 1, 0, 3, 0, 1, 0, 4, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 0, 3, 1, 4, 2, 0, 0, 0, 4, 3, 2, 2, 3, 4, 2, 0, 0, 3, 0, 4, 2, 3, 3, 3, 3, 1, 2, 0, 0, 3, 2, 0, 0, 4, 1, 0, 3, 4, 3, 4, 2, 3, 1] pubkeycol968 = [1, 4, 2, 3, 0, 0, 4, 0, 3, 3, 1, 0, 3, 3, 2, 1, 3, 0, 1, 3, 1, 1, 4, 4, 3, 0, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 3, 3, 2, 4, 1, 1, 4, 4, 0, 3, 1, 1, 3, 2, 3, 3, 2, 2, 3, 3, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 0, 3, 4, 0, 2, 0, 4, 2, 2, 0, 0, 4, 1, 1, 0, 1, 4, 1, 2, 1, 4, 1, 1, 4, 3, 0, 4, 0, 4, 2, 4, 4, 2, 3, 4, 2, 3, 3, 4, 0, 1, 3, 2, 4, 2, 4, 3, 0, 3, 3, 2, 1, 1, 4, 2, 4, 2, 1, 4, 0, 0, 1, 3, 4, 3, 1, 4, 4, 2, 3, 1, 0, 3, 4, 2, 2, 1, 0, 1, 2, 1, 4, 3, 1, 3, 3, 0, 1, 4, 1, 1, 1, 4, 0, 4, 4, 2, 0, 2, 1, 3, 0, 0, 0, 3, 0, 2, 1, 2, 3, 4, 3, 1, 1, 1, 2, 1, 2, 1, 3, 2, 1, 0, 2, 2, 1, 4, 2, 2, 3, 3, 3, 0, 0, 2, 3, 1, 4, 1, 2, 3, 2, 0, 3, 4, 3, 3, 3, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 4, 2, 4, 2, 4, 0, 2, 4, 0, 1, 0, 1, 4, 3, 2, 0, 4, 4, 1, 1, 0, 0, 4, 4, 3, 4, 1, 1, 0, 2, 3, 2, 3, 3, 1, 3, 0, 1, 1, 2, 4, 2, 1, 2, 2, 0, 0, 2, 1, 2, 4, 4, 2, 1, 0, 3, 4, 0, 4, 2, 3, 4, 4, 4, 2, 0, 0, 0, 4, 1, 2, 4, 3, 1, 0, 3, 3, 2, 2, 4, 2, 1, 2, 2, 2, 1] pubkeycol969 = [1, 0, 2, 4, 3, 4, 1, 0, 4, 1, 2, 0, 2, 0, 3, 4, 0, 3, 0, 3, 3, 3, 4, 0, 0, 2, 1, 0, 4, 2, 4, 3, 3, 4, 2, 2, 4, 0, 4, 2, 3, 4, 2, 2, 0, 3, 4, 3, 4, 3, 2, 4, 0, 3, 3, 4, 0, 4, 4, 1, 4, 1, 2, 4, 3, 1, 2, 1, 1, 3, 0, 0, 1, 3, 1, 0, 3, 3, 4, 0, 4, 3, 2, 1, 1, 4, 3, 1, 4, 3, 3, 2, 4, 4, 4, 2, 1, 3, 2, 0, 4, 3, 4, 1, 3, 2, 4, 4, 0, 1, 0, 4, 4, 4, 3, 4, 2, 2, 4, 0, 2, 2, 0, 0, 1, 1, 3, 3, 0, 4, 1, 4, 1, 0, 1, 0, 1, 3, 2, 1, 0, 1, 4, 4, 0, 0, 2, 3, 2, 3, 3, 1, 4, 2, 3, 1, 1, 2, 2, 1, 2, 1, 1, 4, 0, 2, 1, 2, 1, 4, 1, 4, 4, 2, 2, 4, 0, 4, 3, 4, 3, 1, 1, 1, 0, 4, 1, 4, 3, 2, 0, 1, 3, 1, 3, 0, 2, 3, 1, 4, 0, 0, 2, 4, 1, 3, 3, 3, 4, 0, 4, 3, 4, 2, 2, 3, 4, 0, 2, 3, 1, 1, 1, 2, 0, 1, 1, 3, 3, 1, 0, 1, 4, 0, 3, 0, 3, 2, 1, 3, 1, 4, 1, 4, 2, 2, 3, 2, 1, 3, 3, 1, 3, 2, 2, 0, 3, 1, 1, 4, 0, 1, 0, 0, 0, 4, 1, 3, 1, 1, 1, 0, 4, 3, 3, 2, 4, 0, 1, 0, 1, 3, 4, 2, 2, 3, 0, 2, 0, 1, 4, 1, 3, 1, 2, 3, 3, 0, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 1, 1, 1, 0, 4, 1, 1, 4, 1, 4, 0, 0] pubkeycol970 = [4, 2, 3, 3, 2, 1, 3, 4, 0, 0, 0, 1, 2, 4, 2, 1, 0, 3, 4, 2, 1, 2, 4, 3, 3, 4, 1, 3, 2, 4, 1, 2, 4, 0, 3, 4, 2, 2, 3, 4, 1, 2, 3, 3, 2, 3, 0, 0, 3, 3, 1, 0, 1, 0, 4, 2, 0, 0, 3, 2, 1, 3, 2, 2, 4, 4, 3, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 4, 4, 2, 3, 0, 3, 3, 0, 0, 0, 0, 3, 2, 3, 0, 2, 4, 2, 2, 1, 1, 2, 4, 3, 0, 1, 1, 2, 3, 4, 3, 4, 0, 3, 4, 1, 2, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 1, 4, 1, 3, 1, 3, 0, 0, 0, 1, 4, 2, 4, 4, 3, 3, 4, 3, 1, 3, 2, 3, 3, 4, 3, 3, 0, 3, 1, 1, 4, 3, 4, 1, 4, 2, 0, 3, 4, 1, 1, 4, 2, 0, 2, 4, 0, 1, 0, 2, 0, 2, 3, 4, 1, 3, 0, 1, 2, 3, 2, 3, 0, 4, 4, 0, 2, 1, 1, 4, 2, 1, 1, 4, 3, 0, 3, 2, 0, 4, 0, 4, 3, 0, 3, 1, 2, 0, 1, 1, 2, 4, 4, 2, 3, 0, 2, 2, 3, 4, 4, 0, 4, 3, 0, 2, 3, 1, 1, 3, 1, 4, 4, 1, 3, 4, 0, 1, 4, 0, 1, 0, 4, 2, 0, 3, 1, 4, 4, 2, 4, 1, 2, 0, 2, 0, 3, 2, 2, 1, 0, 0, 1, 1, 1, 2, 4, 2, 4, 2, 2, 0, 2, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 4, 1, 3, 0, 3, 3, 2, 0, 0, 2, 4, 3, 4, 0, 3, 3, 0, 2, 3, 3, 4, 4, 3, 0, 0, 1, 0, 2, 1, 0, 4, 4] pubkeycol971 = [4, 4, 3, 4, 0, 1, 1, 0, 2, 1, 3, 0, 1, 4, 3, 1, 3, 3, 3, 4, 2, 1, 0, 4, 3, 2, 2, 2, 3, 4, 0, 4, 0, 3, 2, 3, 3, 1, 1, 3, 2, 3, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 3, 1, 1, 4, 0, 4, 4, 1, 4, 3, 4, 3, 1, 0, 2, 0, 0, 3, 0, 2, 3, 4, 4, 1, 3, 2, 3, 1, 4, 1, 2, 4, 3, 0, 2, 0, 2, 2, 4, 4, 3, 1, 4, 2, 0, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 3, 4, 1, 4, 1, 2, 3, 1, 2, 3, 4, 0, 2, 2, 0, 3, 2, 1, 2, 2, 3, 1, 3, 1, 3, 1, 2, 1, 1, 4, 0, 1, 0, 1, 0, 4, 3, 3, 4, 3, 1, 2, 1, 3, 2, 0, 4, 2, 0, 3, 0, 2, 2, 0, 3, 1, 1, 0, 3, 3, 4, 3, 1, 2, 2, 3, 2, 2, 3, 3, 4, 2, 0, 2, 0, 3, 2, 4, 4, 4, 0, 3, 2, 1, 1, 4, 2, 4, 4, 0, 4, 2, 3, 0, 4, 2, 2, 4, 2, 0, 0, 1, 1, 4, 0, 1, 0, 2, 2, 3, 3, 4, 2, 3, 4, 2, 1, 2, 0, 4, 2, 3, 4, 2, 4, 4, 1, 1, 0, 0, 3, 2, 2, 4, 3, 4, 0, 0, 2, 3, 3, 3, 0, 1, 4, 0, 4, 4, 3, 3, 3, 0, 2, 3, 4, 1, 3, 3, 0, 4, 2, 3, 3, 3, 3, 3, 4, 2, 3, 0, 1, 1, 4, 3, 0, 1, 4, 1, 3, 4, 2, 3, 0, 2, 4, 1, 2, 3, 1, 0, 4, 3, 3, 1, 3, 3, 0, 2, 3, 4, 0, 4, 1, 1, 1, 0, 3, 4, 3, 4, 4] pubkeycol972 = [0, 0, 3, 3, 2, 1, 2, 3, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 4, 0, 2, 1, 4, 1, 1, 2, 2, 3, 2, 2, 1, 3, 2, 4, 2, 0, 3, 4, 4, 3, 1, 3, 3, 0, 2, 3, 2, 0, 1, 2, 0, 1, 0, 1, 0, 3, 4, 3, 4, 3, 4, 0, 1, 2, 4, 4, 3, 1, 3, 4, 1, 2, 3, 2, 4, 3, 3, 4, 0, 3, 1, 3, 0, 2, 4, 1, 3, 4, 4, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 2, 1, 4, 3, 0, 3, 1, 0, 4, 1, 3, 1, 3, 2, 0, 0, 3, 4, 4, 1, 0, 0, 2, 1, 3, 2, 4, 1, 4, 3, 2, 1, 4, 4, 4, 2, 1, 2, 4, 4, 1, 1, 2, 4, 0, 0, 2, 3, 2, 0, 4, 1, 2, 0, 1, 2, 0, 4, 4, 1, 0, 4, 0, 4, 1, 4, 4, 0, 1, 0, 0, 1, 3, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 0, 0, 0, 2, 3, 4, 1, 2, 0, 4, 1, 1, 2, 3, 3, 1, 1, 0, 1, 2, 0, 2, 4, 4, 2, 0, 1, 1, 4, 4, 3, 0, 2, 3, 4, 1, 0, 1, 4, 0, 0, 0, 2, 3, 2, 0, 2, 0, 3, 4, 2, 0, 3, 2, 0, 4, 2, 0, 3, 4, 3, 3, 3, 1, 3, 1, 4, 1, 4, 1, 3, 1, 3, 1, 3, 2, 1, 4, 2, 2, 3, 2, 4, 3, 2, 4, 3, 2, 1, 2, 0, 3, 4, 1, 1, 4, 3, 4, 3, 0, 0, 1, 3, 2, 4, 0, 0, 0, 2, 3, 4, 3, 0, 3, 4, 4, 0, 3, 2, 3, 2, 1, 1, 1, 2, 4, 3, 3, 2, 3, 4, 4, 0, 4, 2, 0, 4, 3] pubkeycol973 = [4, 4, 4, 0, 1, 0, 4, 3, 3, 3, 1, 2, 0, 0, 2, 3, 1, 0, 0, 0, 1, 3, 1, 0, 2, 0, 3, 0, 3, 3, 2, 4, 0, 4, 1, 0, 0, 4, 3, 0, 4, 3, 2, 4, 3, 4, 0, 0, 2, 4, 0, 0, 2, 4, 4, 0, 2, 3, 1, 4, 0, 4, 1, 4, 2, 3, 4, 1, 4, 4, 0, 0, 0, 3, 0, 3, 1, 4, 1, 3, 2, 1, 3, 2, 0, 0, 0, 3, 4, 0, 4, 0, 1, 4, 3, 0, 4, 3, 3, 2, 0, 2, 4, 3, 1, 0, 0, 3, 0, 0, 2, 0, 3, 4, 3, 0, 1, 3, 0, 4, 0, 4, 4, 3, 4, 4, 4, 3, 2, 4, 2, 2, 0, 1, 3, 3, 1, 1, 0, 3, 3, 4, 1, 2, 2, 3, 4, 2, 3, 2, 0, 4, 0, 4, 2, 0, 2, 2, 3, 3, 1, 0, 4, 4, 1, 0, 2, 2, 2, 3, 2, 1, 3, 2, 0, 1, 1, 4, 1, 0, 3, 1, 0, 2, 0, 1, 2, 2, 3, 1, 0, 1, 0, 0, 0, 4, 2, 4, 2, 0, 3, 3, 0, 0, 2, 1, 0, 1, 0, 3, 3, 0, 1, 0, 1, 3, 2, 2, 0, 2, 1, 2, 3, 2, 0, 4, 1, 1, 3, 2, 4, 1, 2, 0, 3, 1, 3, 1, 0, 4, 0, 4, 4, 2, 2, 3, 1, 3, 2, 0, 1, 4, 0, 0, 2, 1, 4, 4, 3, 1, 1, 4, 4, 2, 0, 0, 0, 4, 3, 1, 3, 3, 1, 1, 3, 2, 2, 4, 3, 2, 0, 3, 3, 1, 3, 2, 1, 4, 0, 3, 1, 4, 3, 4, 4, 2, 4, 4, 0, 4, 0, 0, 0, 3, 4, 1, 4, 0, 2, 1, 2, 0, 4, 2, 0, 0, 3, 2, 0, 3] pubkeycol974 = [1, 3, 3, 3, 3, 4, 0, 2, 0, 1, 3, 0, 2, 4, 2, 2, 2, 4, 3, 4, 0, 3, 3, 2, 1, 2, 2, 1, 4, 4, 1, 1, 1, 4, 1, 0, 4, 1, 1, 4, 2, 3, 1, 2, 2, 2, 2, 4, 2, 2, 0, 0, 3, 0, 4, 2, 1, 3, 1, 1, 4, 3, 0, 0, 4, 1, 1, 0, 0, 0, 4, 3, 1, 3, 3, 4, 2, 0, 0, 1, 3, 2, 2, 2, 1, 2, 4, 0, 0, 3, 4, 2, 1, 0, 1, 3, 2, 0, 3, 0, 3, 0, 1, 0, 3, 2, 1, 4, 0, 0, 0, 4, 1, 2, 1, 3, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 3, 2, 3, 0, 1, 2, 0, 3, 4, 3, 1, 4, 4, 1, 3, 1, 3, 3, 3, 3, 0, 3, 3, 0, 4, 3, 1, 3, 3, 4, 3, 1, 4, 1, 2, 2, 4, 4, 1, 2, 4, 3, 1, 3, 3, 2, 4, 4, 1, 4, 3, 1, 1, 1, 4, 3, 2, 1, 1, 2, 2, 2, 0, 4, 3, 1, 0, 2, 4, 0, 4, 1, 4, 2, 1, 1, 1, 1, 4, 0, 0, 0, 2, 3, 0, 1, 4, 1, 4, 1, 0, 3, 2, 4, 4, 0, 2, 1, 3, 1, 3, 0, 2, 0, 3, 1, 2, 0, 1, 0, 3, 4, 3, 0, 2, 0, 2, 4, 3, 4, 3, 1, 1, 0, 0, 1, 1, 3, 3, 4, 0, 4, 2, 1, 0, 0, 2, 3, 3, 4, 0, 1, 4, 1, 1, 0, 1, 4, 1, 3, 0, 4, 3, 4, 1, 0, 1, 4, 2, 0, 2, 0, 3, 0, 0, 3, 1, 0, 1, 0, 4, 3, 1, 0, 0, 2, 1, 3, 0, 4, 0, 2, 4, 0, 1, 4, 4, 4, 3, 0, 4, 4, 4, 0] pubkeycol975 = [2, 0, 2, 0, 0, 3, 3, 4, 4, 3, 3, 1, 3, 2, 1, 0, 2, 3, 0, 4, 3, 4, 1, 3, 2, 3, 3, 0, 3, 2, 2, 1, 1, 4, 0, 2, 2, 0, 4, 4, 2, 0, 1, 0, 0, 4, 3, 4, 2, 3, 0, 0, 0, 4, 3, 2, 4, 3, 0, 3, 3, 1, 2, 4, 3, 3, 4, 4, 1, 1, 0, 2, 4, 2, 4, 2, 4, 4, 1, 0, 4, 2, 0, 2, 3, 4, 4, 1, 2, 3, 4, 0, 0, 3, 1, 2, 1, 2, 0, 2, 1, 4, 4, 1, 4, 3, 3, 1, 4, 2, 4, 4, 3, 0, 3, 2, 1, 2, 3, 1, 3, 0, 3, 2, 2, 2, 1, 2, 2, 2, 1, 2, 4, 3, 3, 2, 3, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 4, 3, 3, 1, 2, 2, 3, 2, 4, 2, 1, 3, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 4, 1, 1, 0, 0, 4, 0, 3, 2, 1, 0, 2, 0, 4, 3, 2, 4, 3, 3, 4, 0, 0, 2, 3, 3, 0, 4, 2, 1, 2, 1, 1, 3, 2, 3, 2, 0, 2, 4, 1, 0, 4, 1, 2, 1, 4, 1, 0, 1, 0, 3, 0, 4, 2, 4, 0, 3, 1, 1, 0, 2, 2, 2, 2, 4, 0, 2, 0, 3, 4, 2, 3, 2, 0, 0, 4, 4, 4, 0, 1, 2, 0, 4, 2, 1, 3, 2, 0, 1, 3, 3, 3, 1, 4, 2, 2, 4, 4, 2, 1, 1, 2, 3, 1, 4, 0, 0, 4, 4, 4, 2, 1, 4, 1, 1, 4, 0, 4, 2, 4, 1, 2, 3, 0, 0, 2, 1, 4, 4, 3, 4, 0, 1, 0, 4, 2, 0, 3, 1, 0, 0, 3, 0, 4, 1, 1, 1] pubkeycol976 = [0, 4, 0, 1, 4, 4, 1, 3, 0, 2, 3, 0, 4, 1, 0, 0, 4, 1, 4, 3, 3, 0, 0, 1, 4, 4, 3, 4, 3, 2, 2, 0, 4, 4, 4, 3, 1, 3, 1, 4, 2, 4, 1, 4, 2, 0, 3, 0, 3, 1, 1, 4, 0, 4, 1, 1, 0, 1, 2, 3, 3, 3, 1, 0, 1, 0, 1, 4, 4, 1, 3, 1, 4, 1, 4, 4, 0, 2, 1, 0, 1, 2, 0, 2, 3, 1, 1, 3, 1, 0, 1, 2, 2, 1, 1, 1, 4, 0, 4, 4, 4, 1, 0, 0, 3, 3, 2, 1, 1, 3, 1, 3, 0, 4, 3, 3, 3, 1, 0, 2, 3, 4, 4, 0, 3, 1, 4, 1, 1, 1, 4, 4, 1, 4, 2, 1, 3, 2, 0, 3, 0, 3, 1, 1, 2, 1, 1, 0, 0, 0, 3, 0, 2, 1, 1, 2, 0, 2, 3, 2, 1, 3, 4, 3, 0, 1, 3, 1, 1, 1, 3, 4, 1, 2, 2, 4, 1, 4, 2, 2, 4, 4, 2, 1, 0, 1, 0, 4, 1, 2, 3, 3, 4, 3, 2, 1, 0, 1, 1, 3, 4, 2, 4, 0, 4, 2, 3, 4, 4, 2, 1, 0, 2, 0, 1, 1, 4, 4, 4, 4, 1, 0, 1, 4, 0, 1, 1, 2, 3, 0, 4, 3, 1, 2, 4, 3, 2, 2, 2, 3, 2, 4, 4, 0, 3, 1, 3, 1, 0, 0, 2, 3, 4, 0, 4, 0, 3, 3, 0, 0, 1, 2, 4, 0, 2, 1, 4, 2, 1, 4, 0, 2, 2, 2, 0, 0, 0, 2, 4, 2, 4, 4, 1, 1, 0, 3, 3, 2, 3, 1, 3, 0, 4, 0, 2, 4, 3, 3, 4, 0, 1, 0, 2, 0, 0, 0, 1, 4, 2, 2, 0, 1, 3, 3, 2, 4, 1, 0, 1, 4] pubkeycol977 = [3, 3, 1, 3, 0, 4, 3, 4, 1, 1, 0, 1, 1, 4, 3, 2, 0, 4, 3, 0, 1, 1, 0, 0, 1, 2, 4, 3, 3, 0, 3, 1, 1, 3, 0, 4, 2, 3, 2, 0, 3, 0, 0, 4, 2, 2, 4, 2, 3, 2, 2, 0, 4, 0, 3, 0, 2, 3, 2, 1, 0, 3, 1, 2, 2, 4, 1, 2, 4, 4, 4, 0, 2, 0, 1, 4, 2, 0, 2, 4, 3, 4, 2, 4, 3, 0, 4, 1, 2, 4, 3, 1, 2, 2, 2, 2, 3, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 4, 4, 3, 4, 3, 4, 4, 2, 2, 1, 0, 0, 4, 0, 0, 4, 2, 1, 4, 3, 4, 2, 0, 3, 2, 1, 2, 3, 2, 2, 1, 0, 4, 4, 3, 0, 1, 0, 2, 3, 4, 1, 2, 4, 1, 2, 3, 2, 1, 0, 1, 0, 2, 3, 0, 1, 0, 4, 1, 4, 3, 2, 4, 0, 4, 3, 0, 1, 4, 1, 3, 2, 4, 3, 4, 0, 3, 1, 1, 2, 1, 3, 1, 4, 0, 1, 3, 2, 0, 0, 1, 0, 2, 1, 1, 0, 3, 4, 3, 3, 4, 0, 3, 0, 1, 1, 0, 3, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 4, 0, 4, 3, 0, 0, 4, 1, 2, 3, 3, 4, 2, 4, 0, 0, 4, 1, 4, 1, 3, 1, 4, 3, 4, 4, 2, 1, 3, 0, 1, 0, 1, 0, 1, 2, 4, 4, 1, 0, 3, 2, 4, 0, 3, 4, 4, 0, 1, 4, 1, 0, 3, 3, 3, 0, 3, 1, 4, 0, 1, 2, 1, 1, 3, 0, 4, 3, 2, 0, 4, 2, 3, 0, 4, 3, 0, 1, 1, 4, 4, 2, 4, 0, 4, 3, 1, 0, 0, 2, 1, 1, 4, 4] pubkeycol978 = [3, 0, 3, 2, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 4, 0, 1, 4, 2, 3, 1, 4, 3, 2, 4, 2, 0, 1, 0, 0, 0, 3, 4, 3, 0, 1, 3, 0, 4, 4, 3, 0, 4, 2, 4, 3, 4, 1, 2, 1, 4, 0, 1, 2, 2, 0, 2, 4, 2, 1, 3, 2, 1, 3, 0, 1, 2, 0, 1, 4, 2, 2, 1, 2, 1, 2, 2, 4, 1, 0, 4, 4, 4, 1, 2, 4, 1, 3, 2, 0, 3, 2, 2, 0, 2, 1, 3, 0, 2, 0, 1, 1, 2, 0, 1, 4, 2, 2, 1, 0, 2, 3, 0, 3, 0, 0, 4, 2, 2, 3, 3, 3, 4, 0, 0, 2, 2, 2, 0, 2, 4, 1, 3, 3, 4, 0, 4, 2, 4, 4, 1, 3, 2, 4, 3, 2, 2, 4, 4, 4, 1, 3, 1, 3, 1, 0, 3, 4, 3, 0, 0, 1, 1, 2, 1, 3, 2, 0, 1, 1, 0, 1, 3, 4, 4, 3, 4, 4, 0, 4, 1, 4, 2, 2, 0, 4, 1, 2, 2, 2, 1, 4, 3, 4, 1, 1, 2, 4, 4, 2, 4, 2, 4, 4, 3, 2, 2, 0, 1, 2, 3, 2, 3, 1, 4, 4, 3, 2, 0, 0, 4, 4, 1, 1, 3, 3, 1, 4, 3, 4, 4, 4, 1, 0, 4, 4, 2, 4, 2, 1, 4, 2, 3, 4, 4, 2, 3, 1, 2, 0, 2, 1, 1, 0, 1, 2, 4, 1, 0, 3, 2, 3, 3, 3, 4, 1, 0, 2, 2, 4, 4, 1, 4, 0, 2, 2, 4, 2, 0, 0, 4, 1, 0, 1, 2, 0, 0, 0, 4, 4, 0, 0, 3, 2, 3, 0, 2, 0, 4, 4, 1, 2, 3, 3, 0, 2] pubkeycol979 = [3, 0, 0, 3, 0, 1, 3, 2, 4, 0, 1, 0, 4, 0, 1, 0, 1, 1, 0, 4, 4, 2, 0, 3, 1, 1, 1, 4, 3, 4, 0, 1, 0, 4, 4, 4, 4, 0, 0, 2, 4, 0, 4, 1, 3, 4, 2, 1, 1, 4, 0, 1, 3, 1, 2, 1, 3, 2, 2, 4, 3, 4, 1, 4, 2, 2, 3, 3, 3, 0, 3, 0, 0, 4, 3, 4, 3, 1, 4, 0, 3, 1, 3, 0, 2, 1, 3, 1, 3, 4, 2, 2, 4, 0, 1, 3, 1, 0, 2, 3, 4, 4, 0, 1, 2, 2, 0, 3, 1, 1, 3, 3, 3, 4, 1, 2, 2, 2, 0, 3, 2, 4, 3, 2, 3, 2, 0, 4, 2, 4, 0, 2, 4, 2, 2, 4, 3, 3, 1, 3, 1, 1, 2, 2, 3, 3, 4, 0, 1, 4, 4, 4, 1, 4, 3, 2, 2, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 0, 1, 2, 2, 4, 4, 2, 1, 1, 4, 1, 4, 3, 0, 2, 4, 3, 4, 4, 2, 2, 1, 1, 0, 1, 2, 1, 0, 3, 4, 2, 0, 1, 3, 3, 0, 4, 1, 0, 1, 0, 2, 1, 4, 4, 4, 2, 1, 2, 0, 1, 2, 1, 4, 2, 1, 4, 3, 1, 1, 3, 0, 2, 1, 4, 4, 0, 3, 1, 1, 2, 2, 1, 1, 4, 0, 4, 4, 2, 0, 3, 2, 2, 4, 1, 2, 2, 1, 1, 2, 4, 4, 4, 2, 4, 1, 1, 4, 1, 2, 2, 4, 0, 3, 1, 0, 0, 3, 3, 1, 0, 2, 3, 4, 1, 0, 4, 1, 4, 0, 2, 4, 0, 1, 0, 0, 3, 4, 0, 2, 4, 3, 2, 0, 3, 2, 4, 4, 4, 2, 0, 0, 3, 2, 3, 2, 3, 2, 4, 0, 4, 0, 4] pubkeycol980 = [4, 1, 3, 0, 3, 4, 3, 2, 2, 2, 3, 2, 2, 4, 4, 2, 0, 1, 1, 1, 0, 3, 3, 1, 2, 1, 3, 4, 1, 2, 3, 2, 3, 2, 4, 0, 2, 2, 1, 4, 0, 3, 4, 3, 1, 0, 2, 0, 4, 2, 0, 2, 0, 0, 2, 4, 2, 4, 3, 3, 0, 2, 3, 0, 2, 1, 4, 4, 4, 1, 4, 0, 0, 4, 4, 1, 4, 0, 1, 0, 0, 2, 3, 2, 1, 0, 3, 3, 4, 3, 2, 4, 2, 0, 3, 1, 4, 1, 0, 3, 0, 0, 4, 3, 4, 1, 2, 2, 0, 0, 3, 0, 2, 0, 2, 4, 1, 3, 4, 1, 0, 1, 0, 1, 3, 4, 3, 0, 3, 0, 1, 1, 2, 3, 2, 2, 4, 2, 2, 0, 3, 2, 1, 4, 4, 3, 3, 3, 4, 3, 1, 2, 3, 0, 0, 3, 1, 3, 3, 1, 0, 1, 0, 2, 3, 2, 2, 4, 0, 3, 2, 3, 4, 1, 1, 4, 3, 0, 1, 2, 0, 0, 1, 0, 0, 4, 3, 3, 0, 1, 0, 0, 1, 1, 4, 1, 2, 2, 1, 1, 3, 1, 0, 1, 2, 3, 0, 4, 4, 0, 0, 3, 3, 4, 3, 1, 3, 0, 4, 3, 1, 0, 2, 1, 4, 0, 3, 0, 1, 3, 1, 1, 0, 4, 2, 0, 1, 0, 4, 2, 4, 3, 1, 0, 0, 4, 0, 3, 0, 1, 3, 0, 0, 3, 1, 1, 3, 4, 4, 2, 4, 2, 4, 3, 4, 0, 0, 1, 2, 2, 3, 3, 2, 4, 3, 0, 0, 1, 1, 3, 2, 4, 4, 4, 1, 2, 2, 0, 0, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 3, 2, 3, 3, 4, 1, 0, 4, 4, 0, 3, 3, 2, 1, 2, 4, 3, 1, 2, 4, 0] pubkeycol981 = [2, 0, 1, 4, 3, 1, 4, 1, 3, 4, 2, 4, 1, 0, 0, 1, 2, 3, 4, 0, 2, 2, 2, 1, 3, 3, 4, 2, 3, 2, 1, 1, 4, 1, 0, 1, 4, 4, 2, 2, 0, 1, 2, 1, 4, 2, 4, 1, 0, 2, 2, 0, 2, 1, 2, 2, 4, 3, 4, 0, 4, 2, 2, 2, 0, 2, 0, 3, 1, 0, 0, 4, 4, 0, 0, 2, 0, 3, 3, 1, 2, 4, 4, 0, 1, 3, 1, 2, 4, 1, 1, 4, 3, 0, 3, 2, 4, 3, 4, 1, 2, 3, 3, 3, 0, 3, 4, 0, 0, 3, 4, 1, 4, 1, 3, 2, 4, 0, 4, 1, 4, 3, 0, 0, 4, 4, 2, 1, 1, 2, 1, 4, 2, 2, 2, 1, 0, 0, 4, 2, 0, 3, 1, 2, 0, 2, 2, 1, 0, 2, 2, 3, 4, 1, 1, 2, 3, 4, 3, 1, 2, 1, 1, 3, 4, 2, 0, 1, 1, 4, 2, 2, 1, 1, 2, 4, 0, 3, 0, 2, 3, 1, 2, 1, 2, 2, 3, 0, 4, 0, 4, 3, 4, 2, 1, 4, 1, 0, 3, 2, 1, 0, 4, 1, 3, 1, 4, 2, 2, 0, 2, 4, 2, 1, 0, 1, 0, 3, 2, 1, 3, 0, 1, 0, 2, 1, 3, 1, 3, 2, 1, 4, 4, 3, 0, 0, 2, 3, 2, 0, 3, 0, 3, 1, 0, 2, 4, 1, 1, 4, 0, 2, 2, 3, 0, 4, 3, 1, 2, 4, 2, 0, 0, 1, 4, 4, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 2, 4, 1, 4, 1, 3, 4, 4, 1, 1, 1, 1, 0, 3, 4, 0, 0, 1, 2, 2, 0, 4, 4, 1, 0, 1, 3, 4, 2, 4, 1, 0, 0, 2, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3] pubkeycol982 = [3, 2, 1, 3, 3, 3, 4, 2, 1, 1, 4, 2, 0, 3, 3, 2, 1, 4, 4, 3, 3, 3, 0, 2, 3, 1, 3, 4, 3, 2, 2, 2, 1, 1, 2, 1, 3, 4, 3, 3, 0, 3, 2, 3, 2, 4, 3, 4, 1, 0, 0, 3, 2, 1, 0, 3, 2, 4, 4, 3, 1, 4, 3, 4, 0, 3, 3, 1, 2, 2, 4, 2, 0, 0, 0, 4, 1, 0, 1, 1, 2, 3, 1, 2, 4, 0, 2, 0, 3, 2, 0, 0, 2, 2, 2, 0, 0, 0, 3, 1, 1, 2, 4, 0, 3, 4, 2, 1, 2, 0, 3, 1, 0, 3, 4, 1, 2, 0, 1, 2, 3, 0, 1, 0, 4, 2, 2, 0, 2, 2, 1, 2, 0, 1, 3, 1, 0, 0, 0, 0, 1, 2, 4, 0, 2, 4, 1, 2, 2, 2, 2, 3, 2, 0, 2, 0, 2, 4, 3, 4, 0, 4, 2, 1, 3, 4, 0, 3, 1, 3, 0, 0, 2, 0, 1, 4, 2, 4, 0, 3, 4, 4, 2, 0, 2, 4, 1, 2, 2, 4, 3, 1, 2, 3, 0, 3, 4, 2, 4, 2, 1, 4, 2, 2, 1, 0, 4, 3, 4, 2, 3, 2, 2, 4, 0, 2, 1, 4, 3, 4, 1, 3, 2, 3, 3, 3, 3, 1, 4, 1, 2, 3, 1, 0, 1, 4, 3, 2, 0, 2, 3, 1, 4, 4, 2, 0, 3, 3, 0, 1, 1, 0, 3, 1, 2, 4, 4, 3, 1, 0, 2, 0, 3, 0, 4, 4, 1, 0, 3, 1, 0, 4, 1, 3, 1, 0, 4, 2, 4, 4, 4, 2, 0, 0, 1, 2, 4, 4, 2, 2, 1, 0, 0, 0, 4, 0, 3, 1, 1, 0, 4, 2, 1, 2, 1, 3, 4, 2, 1, 4, 3, 2, 1, 2, 1, 4, 0, 3, 3, 1] pubkeycol983 = [2, 4, 1, 0, 0, 3, 3, 2, 0, 0, 2, 2, 1, 4, 4, 3, 3, 1, 3, 1, 3, 0, 3, 0, 0, 4, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 2, 1, 1, 0, 4, 2, 2, 0, 3, 2, 4, 0, 1, 2, 0, 3, 2, 3, 1, 3, 3, 4, 0, 2, 1, 2, 1, 1, 4, 0, 1, 2, 2, 1, 3, 2, 1, 2, 4, 2, 2, 2, 0, 0, 4, 3, 4, 3, 1, 2, 4, 4, 1, 2, 4, 2, 3, 0, 3, 1, 0, 2, 1, 3, 1, 3, 0, 2, 3, 2, 2, 3, 0, 1, 2, 0, 0, 4, 3, 3, 2, 1, 4, 3, 2, 0, 2, 4, 0, 2, 2, 1, 0, 4, 2, 0, 3, 2, 4, 4, 0, 1, 3, 0, 2, 2, 1, 0, 1, 0, 3, 4, 2, 0, 0, 3, 3, 4, 4, 4, 3, 2, 0, 2, 0, 0, 1, 2, 4, 1, 3, 2, 1, 3, 0, 0, 2, 2, 3, 0, 4, 1, 3, 0, 3, 1, 4, 3, 4, 2, 4, 2, 0, 4, 4, 3, 0, 0, 0, 0, 0, 0, 3, 0, 2, 1, 3, 1, 0, 2, 1, 4, 1, 3, 3, 2, 0, 4, 0, 0, 2, 0, 0, 3, 1, 1, 2, 4, 0, 2, 3, 3, 3, 4, 4, 0, 4, 0, 2, 3, 3, 4, 4, 3, 3, 2, 3, 0, 0, 4, 2, 2, 1, 2, 3, 0, 3, 1, 1, 2, 1, 0, 2, 0, 2, 3, 3, 1, 3, 2, 1, 4, 0, 3, 3, 2, 0, 4, 3, 0, 3, 3, 3, 0, 3, 4, 1, 4, 2, 4, 2, 2, 4, 1, 4, 3, 2, 3, 4, 2, 2, 4, 4, 0, 4, 0, 3, 4, 4, 0, 4, 2, 0, 1, 2, 0, 1, 4, 3, 3, 0, 4, 1, 3] pubkeycol984 = [0, 4, 4, 3, 4, 3, 2, 3, 1, 0, 0, 0, 0, 1, 1, 2, 2, 4, 3, 4, 1, 3, 4, 0, 4, 3, 4, 4, 1, 0, 1, 4, 0, 1, 4, 2, 0, 3, 1, 3, 3, 2, 1, 1, 0, 4, 2, 0, 2, 0, 1, 0, 3, 1, 4, 0, 0, 2, 2, 2, 3, 0, 0, 1, 1, 1, 3, 4, 1, 0, 2, 2, 0, 0, 3, 0, 2, 1, 0, 3, 0, 4, 4, 4, 0, 3, 1, 3, 1, 0, 0, 3, 2, 3, 2, 1, 3, 0, 4, 1, 4, 4, 3, 4, 0, 2, 3, 4, 1, 0, 2, 1, 0, 3, 4, 3, 0, 2, 4, 1, 0, 0, 3, 0, 3, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 2, 3, 4, 4, 4, 1, 4, 2, 2, 3, 0, 3, 3, 0, 0, 3, 2, 2, 3, 3, 3, 3, 3, 4, 4, 0, 1, 2, 0, 1, 3, 3, 4, 0, 1, 0, 4, 1, 4, 2, 4, 1, 0, 3, 1, 3, 4, 1, 3, 2, 1, 4, 0, 2, 4, 4, 1, 4, 4, 0, 0, 1, 3, 3, 0, 1, 0, 4, 3, 4, 2, 2, 0, 2, 1, 2, 2, 0, 4, 0, 4, 2, 3, 1, 2, 1, 2, 1, 1, 2, 2, 2, 4, 3, 3, 3, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 4, 0, 3, 0, 0, 2, 3, 4, 1, 2, 4, 3, 0, 2, 0, 3, 2, 0, 4, 0, 3, 4, 4, 4, 2, 4, 2, 4, 0, 2, 2, 3, 3, 0, 2, 2, 2, 2, 3, 2, 2, 0, 0, 0, 3, 1, 0, 3, 3, 3, 0, 4, 0, 0, 0, 2, 4, 1, 0, 2, 0, 0, 4, 0, 4, 2, 2, 4, 3, 3, 4, 4, 1] pubkeycol985 = [3, 0, 1, 3, 0, 4, 4, 0, 4, 3, 4, 1, 2, 3, 3, 2, 4, 3, 2, 4, 2, 0, 3, 2, 0, 2, 4, 3, 1, 0, 0, 0, 3, 2, 4, 4, 3, 4, 3, 3, 1, 3, 2, 3, 3, 4, 1, 1, 4, 2, 1, 3, 2, 2, 0, 2, 0, 2, 4, 1, 4, 4, 3, 4, 4, 4, 2, 4, 2, 0, 1, 4, 0, 1, 0, 3, 0, 4, 1, 0, 2, 3, 4, 1, 3, 3, 2, 4, 2, 1, 0, 3, 3, 0, 0, 2, 0, 1, 4, 2, 4, 2, 1, 3, 1, 2, 3, 1, 2, 4, 2, 1, 2, 4, 4, 2, 4, 3, 1, 4, 2, 3, 4, 2, 2, 4, 2, 1, 0, 3, 1, 0, 1, 2, 0, 3, 1, 3, 0, 0, 0, 0, 1, 0, 1, 4, 0, 1, 2, 2, 4, 2, 3, 0, 1, 4, 3, 1, 4, 1, 2, 3, 1, 3, 1, 3, 3, 4, 3, 2, 4, 1, 1, 2, 2, 1, 4, 3, 2, 3, 2, 1, 0, 0, 1, 1, 4, 2, 4, 0, 3, 3, 0, 2, 1, 3, 4, 1, 0, 0, 4, 0, 1, 4, 2, 1, 1, 2, 2, 1, 4, 1, 3, 2, 1, 0, 4, 2, 1, 1, 2, 4, 3, 3, 0, 4, 4, 1, 0, 3, 1, 1, 1, 4, 2, 0, 3, 4, 3, 3, 3, 3, 0, 4, 2, 2, 0, 4, 1, 1, 4, 4, 1, 1, 3, 2, 3, 0, 3, 3, 4, 1, 1, 3, 4, 3, 0, 3, 2, 2, 3, 1, 0, 1, 0, 3, 0, 0, 1, 3, 1, 1, 1, 4, 4, 2, 0, 4, 2, 4, 1, 4, 3, 0, 0, 2, 0, 1, 1, 0, 0, 4, 4, 1, 1, 4, 4, 0, 3, 4, 3, 4, 4, 0, 0, 2, 1, 0, 1, 1] pubkeycol986 = [2, 4, 2, 3, 2, 2, 2, 2, 0, 0, 1, 0, 4, 3, 2, 3, 4, 1, 4, 0, 3, 0, 4, 0, 1, 1, 2, 0, 1, 0, 3, 2, 2, 1, 2, 2, 3, 0, 3, 0, 1, 0, 2, 2, 3, 3, 3, 4, 2, 0, 0, 2, 2, 1, 4, 0, 4, 1, 0, 2, 3, 0, 3, 0, 1, 1, 4, 4, 1, 3, 4, 0, 4, 0, 1, 4, 4, 0, 0, 3, 4, 3, 4, 1, 4, 4, 3, 0, 1, 4, 0, 2, 1, 3, 2, 2, 2, 4, 2, 4, 2, 3, 2, 2, 1, 4, 2, 1, 0, 0, 4, 1, 2, 2, 0, 0, 0, 1, 3, 0, 2, 2, 1, 1, 2, 4, 3, 2, 0, 1, 0, 2, 2, 3, 2, 0, 1, 4, 2, 3, 4, 4, 1, 4, 1, 4, 4, 2, 3, 1, 1, 0, 2, 1, 4, 2, 2, 4, 1, 2, 3, 2, 3, 1, 2, 0, 0, 4, 1, 4, 0, 0, 3, 1, 0, 4, 3, 1, 0, 3, 3, 3, 1, 4, 2, 1, 3, 0, 2, 2, 0, 0, 1, 3, 0, 0, 2, 4, 0, 3, 4, 3, 2, 0, 3, 4, 0, 2, 4, 3, 2, 1, 3, 2, 1, 4, 1, 0, 2, 1, 2, 4, 3, 4, 4, 0, 2, 1, 3, 1, 3, 3, 4, 4, 4, 1, 3, 4, 2, 4, 1, 0, 0, 4, 2, 4, 0, 2, 4, 1, 4, 4, 4, 2, 3, 2, 0, 3, 3, 2, 4, 1, 1, 3, 2, 2, 2, 0, 3, 4, 2, 3, 3, 4, 3, 3, 0, 3, 4, 4, 2, 2, 2, 2, 4, 4, 3, 1, 0, 4, 4, 0, 4, 2, 2, 2, 1, 3, 3, 3, 3, 4, 4, 4, 2, 0, 4, 2, 2, 3, 1, 4, 0, 1, 3, 1, 0, 2, 1, 2] pubkeycol987 = [1, 1, 3, 1, 0, 0, 0, 3, 1, 3, 3, 4, 2, 2, 2, 0, 3, 2, 2, 1, 3, 4, 0, 3, 0, 2, 2, 3, 4, 0, 2, 1, 1, 1, 0, 0, 0, 4, 1, 0, 2, 2, 1, 1, 3, 2, 4, 1, 0, 0, 3, 2, 0, 3, 0, 1, 0, 3, 0, 2, 4, 3, 4, 4, 4, 0, 2, 0, 3, 0, 3, 1, 2, 0, 4, 2, 2, 2, 3, 3, 2, 2, 0, 2, 0, 3, 3, 4, 3, 2, 3, 1, 1, 4, 0, 2, 2, 4, 0, 1, 4, 0, 2, 0, 4, 2, 2, 0, 4, 0, 4, 4, 2, 1, 4, 4, 4, 2, 4, 3, 2, 1, 4, 4, 0, 4, 4, 4, 2, 2, 0, 3, 1, 1, 3, 2, 2, 0, 0, 1, 4, 3, 1, 1, 0, 1, 0, 3, 2, 0, 0, 4, 1, 1, 3, 3, 4, 3, 1, 4, 4, 0, 0, 1, 2, 4, 3, 0, 2, 4, 0, 2, 2, 3, 0, 1, 2, 0, 3, 3, 3, 1, 4, 2, 2, 0, 2, 2, 0, 3, 2, 2, 4, 3, 1, 3, 1, 2, 4, 1, 0, 2, 3, 2, 1, 2, 3, 2, 3, 2, 4, 2, 4, 4, 0, 3, 2, 0, 4, 2, 1, 3, 1, 2, 0, 3, 1, 0, 3, 4, 2, 1, 3, 0, 0, 1, 2, 3, 2, 3, 1, 0, 1, 3, 4, 3, 1, 0, 0, 4, 0, 1, 0, 0, 3, 3, 4, 0, 3, 0, 4, 1, 3, 2, 0, 3, 3, 0, 1, 0, 2, 2, 0, 2, 0, 3, 4, 2, 4, 3, 1, 4, 2, 3, 1, 2, 1, 0, 4, 0, 0, 1, 2, 2, 1, 4, 3, 2, 4, 2, 3, 0, 3, 1, 3, 4, 1, 3, 4, 3, 3, 3, 2, 0, 0, 0, 4, 2, 2, 3] pubkeycol988 = [0, 1, 0, 0, 3, 2, 1, 0, 4, 2, 1, 4, 1, 2, 3, 1, 0, 0, 2, 3, 0, 2, 0, 4, 0, 4, 3, 2, 3, 1, 1, 4, 3, 0, 4, 0, 3, 3, 3, 2, 0, 1, 0, 3, 1, 4, 3, 0, 1, 1, 3, 3, 0, 2, 2, 3, 4, 3, 1, 3, 4, 1, 3, 0, 3, 2, 3, 3, 1, 2, 4, 4, 4, 0, 0, 1, 3, 1, 4, 2, 0, 0, 1, 2, 2, 4, 4, 0, 1, 3, 4, 2, 1, 4, 0, 4, 2, 2, 2, 0, 3, 3, 3, 4, 4, 2, 3, 4, 0, 1, 3, 1, 4, 3, 1, 2, 1, 4, 1, 4, 2, 2, 1, 3, 2, 2, 2, 2, 0, 0, 3, 4, 0, 3, 2, 1, 4, 2, 1, 4, 2, 2, 4, 0, 1, 2, 4, 3, 1, 1, 2, 0, 4, 1, 0, 2, 1, 1, 3, 2, 1, 0, 1, 1, 0, 4, 0, 3, 1, 2, 3, 0, 1, 2, 2, 4, 1, 3, 4, 1, 4, 2, 3, 3, 0, 1, 1, 1, 2, 1, 2, 4, 1, 1, 0, 0, 3, 0, 3, 4, 2, 1, 3, 0, 0, 4, 4, 0, 2, 3, 0, 0, 0, 4, 4, 2, 0, 0, 2, 4, 3, 1, 4, 0, 3, 4, 1, 2, 1, 2, 4, 4, 2, 4, 2, 4, 2, 2, 1, 1, 3, 0, 3, 4, 3, 2, 1, 2, 1, 1, 3, 2, 4, 3, 3, 2, 2, 1, 0, 4, 3, 3, 1, 3, 0, 1, 1, 4, 3, 3, 2, 4, 4, 0, 1, 4, 3, 2, 0, 4, 0, 1, 1, 0, 2, 3, 3, 1, 1, 4, 0, 3, 2, 3, 3, 1, 4, 1, 3, 2, 2, 3, 1, 4, 2, 0, 4, 0, 4, 2, 0, 3, 3, 3, 1, 0, 2, 2, 2, 2] pubkeycol989 = [3, 0, 1, 2, 2, 1, 3, 0, 2, 3, 1, 3, 1, 2, 3, 4, 1, 4, 1, 3, 1, 3, 4, 0, 4, 4, 3, 0, 3, 1, 1, 1, 1, 0, 2, 4, 4, 3, 0, 1, 1, 2, 2, 3, 3, 1, 4, 0, 3, 0, 3, 2, 0, 1, 2, 2, 3, 1, 0, 3, 4, 2, 4, 4, 4, 1, 2, 2, 0, 4, 4, 1, 0, 4, 0, 3, 3, 0, 4, 4, 4, 0, 0, 1, 3, 0, 0, 0, 1, 2, 4, 0, 2, 4, 3, 2, 2, 1, 1, 1, 4, 4, 4, 1, 4, 2, 4, 3, 4, 4, 2, 3, 0, 2, 2, 1, 0, 0, 4, 2, 0, 4, 3, 4, 4, 2, 0, 0, 0, 0, 3, 4, 0, 2, 1, 2, 3, 2, 0, 2, 3, 1, 0, 4, 1, 0, 3, 4, 1, 2, 2, 3, 2, 4, 4, 1, 1, 1, 3, 2, 4, 1, 2, 3, 3, 2, 3, 1, 3, 3, 3, 1, 2, 1, 3, 0, 2, 1, 3, 1, 4, 0, 3, 2, 0, 0, 0, 0, 4, 1, 0, 0, 3, 2, 4, 3, 4, 4, 4, 4, 0, 4, 3, 4, 4, 1, 4, 3, 3, 3, 0, 2, 2, 0, 1, 3, 2, 0, 3, 0, 1, 3, 3, 1, 3, 0, 0, 1, 3, 4, 1, 0, 1, 2, 2, 2, 3, 4, 1, 3, 2, 0, 0, 2, 2, 3, 0, 2, 0, 2, 4, 2, 3, 4, 1, 4, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 3, 2, 3, 4, 4, 3, 3, 0, 3, 4, 1, 0, 3, 2, 0, 2, 0, 4, 0, 4, 1, 1, 4, 4, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 4, 4, 1, 0, 3, 1, 0, 0, 3, 4, 0, 1, 3, 0, 0] pubkeycol990 = [4, 0, 3, 0, 1, 4, 3, 4, 4, 0, 3, 2, 4, 3, 4, 0, 3, 2, 2, 1, 1, 3, 4, 1, 4, 4, 3, 3, 3, 0, 0, 4, 1, 2, 1, 1, 1, 3, 3, 4, 4, 3, 1, 1, 2, 1, 2, 3, 4, 4, 1, 3, 1, 3, 4, 0, 4, 2, 4, 0, 3, 0, 2, 3, 4, 2, 3, 0, 1, 3, 0, 3, 1, 4, 4, 3, 0, 1, 4, 2, 0, 4, 0, 4, 0, 3, 0, 3, 3, 4, 3, 2, 3, 4, 0, 3, 4, 1, 1, 0, 0, 1, 2, 3, 1, 0, 0, 3, 1, 0, 2, 0, 1, 4, 1, 1, 1, 0, 0, 4, 2, 4, 3, 0, 1, 0, 4, 2, 3, 0, 3, 4, 0, 0, 1, 2, 4, 3, 2, 0, 0, 1, 2, 4, 3, 1, 3, 4, 3, 3, 1, 4, 4, 3, 0, 1, 0, 2, 2, 0, 2, 4, 0, 0, 0, 3, 0, 2, 2, 2, 2, 1, 0, 3, 0, 0, 2, 0, 2, 1, 0, 2, 4, 3, 3, 0, 0, 3, 2, 4, 2, 3, 0, 0, 2, 1, 1, 1, 3, 0, 3, 4, 4, 1, 1, 2, 2, 0, 2, 4, 3, 0, 3, 1, 0, 3, 0, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 0, 3, 1, 2, 4, 3, 1, 3, 3, 4, 2, 3, 3, 0, 4, 4, 1, 3, 4, 3, 2, 2, 3, 4, 3, 4, 0, 3, 4, 3, 3, 3, 2, 4, 1, 4, 0, 1, 0, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 3, 1, 1, 0, 3, 2, 4, 0, 4, 2, 2, 4, 1, 0, 4, 0, 1, 4, 1, 3, 0, 1, 3, 1, 0, 1, 3, 0, 0, 2, 1, 2, 4, 0, 2, 4, 0, 3, 4, 4] pubkeycol991 = [2, 1, 1, 1, 3, 0, 0, 2, 4, 3, 3, 3, 4, 1, 0, 4, 1, 3, 1, 3, 0, 4, 2, 0, 2, 3, 4, 2, 4, 2, 0, 3, 4, 0, 3, 0, 2, 3, 0, 0, 3, 4, 0, 1, 2, 1, 0, 2, 0, 0, 3, 1, 4, 1, 1, 3, 2, 3, 1, 0, 2, 4, 2, 2, 0, 1, 1, 1, 0, 1, 3, 2, 3, 2, 1, 0, 2, 0, 1, 4, 3, 1, 0, 1, 3, 4, 0, 0, 0, 1, 1, 2, 0, 2, 4, 4, 4, 4, 3, 1, 3, 3, 3, 3, 3, 2, 3, 0, 3, 4, 0, 4, 4, 1, 1, 2, 0, 3, 2, 0, 0, 1, 0, 1, 2, 4, 0, 3, 4, 0, 3, 4, 0, 2, 1, 3, 2, 0, 0, 3, 2, 3, 1, 2, 1, 2, 4, 2, 1, 1, 3, 0, 1, 2, 4, 3, 4, 4, 1, 4, 3, 2, 2, 1, 0, 2, 4, 2, 4, 0, 0, 1, 2, 3, 0, 3, 1, 0, 4, 2, 0, 1, 2, 2, 3, 1, 3, 1, 4, 0, 0, 1, 2, 4, 1, 1, 1, 2, 3, 2, 2, 0, 2, 2, 2, 4, 4, 1, 0, 4, 0, 3, 3, 3, 3, 3, 0, 2, 3, 0, 3, 4, 3, 0, 0, 3, 4, 1, 1, 4, 3, 1, 1, 4, 4, 0, 2, 0, 2, 3, 3, 4, 0, 4, 0, 1, 0, 0, 0, 4, 0, 4, 3, 1, 4, 2, 4, 4, 1, 4, 3, 0, 3, 4, 3, 0, 2, 0, 3, 0, 0, 3, 0, 0, 4, 0, 3, 2, 4, 2, 4, 3, 3, 4, 1, 4, 3, 2, 4, 2, 0, 2, 1, 1, 1, 4, 0, 2, 4, 3, 0, 2, 3, 0, 1, 2, 3, 4, 0, 0, 4, 3, 4, 0, 2, 0, 0, 1, 1, 4] pubkeycol992 = [3, 2, 1, 0, 2, 4, 2, 4, 0, 4, 3, 0, 0, 1, 0, 2, 3, 4, 3, 3, 3, 4, 2, 1, 1, 3, 1, 3, 4, 3, 2, 4, 2, 3, 4, 1, 1, 1, 4, 0, 1, 0, 3, 3, 0, 4, 2, 4, 2, 2, 4, 3, 3, 4, 2, 2, 3, 0, 2, 1, 0, 3, 0, 1, 0, 4, 0, 0, 1, 1, 0, 0, 2, 3, 2, 1, 3, 0, 1, 1, 2, 3, 1, 4, 4, 3, 0, 3, 2, 4, 2, 0, 4, 4, 2, 4, 0, 4, 3, 1, 1, 2, 4, 2, 1, 4, 4, 2, 0, 1, 1, 2, 3, 3, 1, 3, 1, 4, 0, 3, 1, 3, 1, 4, 2, 1, 0, 3, 0, 2, 3, 2, 3, 3, 4, 1, 3, 4, 2, 1, 2, 3, 0, 2, 2, 1, 3, 4, 1, 3, 0, 4, 0, 2, 2, 0, 2, 0, 2, 2, 4, 1, 0, 2, 1, 2, 4, 4, 4, 1, 2, 1, 0, 0, 1, 1, 4, 0, 4, 2, 1, 1, 2, 2, 3, 1, 1, 4, 0, 1, 0, 3, 2, 0, 3, 4, 2, 0, 2, 2, 3, 2, 3, 1, 3, 3, 1, 0, 2, 1, 0, 3, 4, 3, 1, 3, 3, 4, 3, 3, 0, 3, 3, 1, 0, 2, 2, 0, 1, 1, 1, 4, 3, 1, 1, 2, 1, 4, 2, 0, 3, 0, 3, 2, 2, 1, 3, 0, 4, 1, 0, 1, 0, 3, 3, 0, 1, 1, 3, 3, 3, 0, 0, 3, 4, 1, 2, 3, 3, 1, 2, 1, 4, 3, 3, 1, 4, 1, 2, 1, 0, 1, 4, 4, 4, 3, 3, 4, 3, 3, 1, 1, 1, 1, 3, 0, 0, 0, 2, 1, 4, 0, 3, 2, 4, 3, 0, 3, 1, 4, 2, 2, 1, 3, 1, 4, 2, 4, 0, 4] pubkeycol993 = [3, 4, 2, 3, 1, 2, 3, 2, 3, 0, 2, 3, 0, 0, 1, 3, 4, 1, 0, 1, 1, 3, 1, 2, 2, 4, 0, 4, 2, 3, 4, 3, 0, 4, 0, 3, 0, 2, 1, 4, 1, 0, 2, 0, 1, 0, 3, 1, 3, 4, 0, 4, 1, 3, 0, 0, 4, 1, 4, 3, 4, 3, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 4, 2, 1, 0, 3, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 3, 4, 2, 0, 1, 4, 1, 3, 0, 4, 3, 1, 2, 4, 3, 2, 2, 0, 1, 0, 0, 4, 0, 1, 2, 1, 2, 4, 3, 4, 1, 4, 4, 4, 3, 4, 0, 4, 4, 3, 4, 0, 2, 3, 2, 0, 0, 1, 3, 3, 4, 1, 4, 1, 2, 1, 1, 0, 2, 0, 3, 1, 3, 0, 2, 3, 2, 2, 1, 1, 0, 1, 1, 4, 0, 4, 3, 0, 3, 0, 3, 2, 4, 4, 1, 3, 3, 1, 0, 1, 4, 4, 3, 1, 1, 0, 1, 4, 3, 4, 1, 4, 4, 4, 2, 0, 0, 2, 1, 2, 1, 3, 1, 2, 3, 1, 3, 1, 0, 4, 1, 4, 0, 0, 0, 3, 4, 4, 3, 1, 3, 0, 4, 2, 2, 1, 4, 0, 2, 3, 4, 4, 0, 1, 2, 2, 3, 0, 0, 2, 4, 4, 3, 2, 2, 0, 2, 4, 4, 1, 2, 3, 0, 0, 1, 1, 0, 0, 4, 3, 1, 2, 4, 1, 3, 0, 3, 1, 2, 4, 4, 3, 2, 3, 3, 3, 0, 3, 2, 4, 0, 1, 0, 0, 0, 1, 4, 2, 4, 3, 0, 0, 2, 4, 0, 0, 3, 2, 4, 2, 0, 3, 0, 1, 0, 1, 0, 1, 2, 3, 0, 1, 2, 1, 0, 1, 3, 4, 4, 0, 4, 0] pubkeycol994 = [1, 2, 3, 2, 4, 0, 0, 1, 2, 0, 4, 4, 2, 1, 0, 0, 0, 0, 0, 4, 4, 3, 3, 0, 2, 0, 2, 2, 4, 0, 2, 1, 0, 0, 1, 3, 2, 2, 0, 1, 3, 0, 0, 0, 4, 0, 0, 4, 2, 3, 2, 4, 3, 4, 4, 3, 3, 0, 0, 3, 1, 1, 4, 3, 4, 0, 1, 3, 1, 3, 2, 1, 3, 4, 1, 3, 2, 2, 4, 4, 1, 0, 1, 4, 2, 0, 1, 2, 3, 3, 0, 3, 4, 2, 4, 0, 0, 4, 2, 3, 4, 0, 3, 1, 1, 1, 3, 1, 1, 4, 1, 2, 0, 3, 1, 0, 4, 2, 0, 3, 4, 4, 3, 4, 4, 2, 3, 4, 1, 1, 1, 1, 0, 2, 3, 1, 4, 1, 1, 0, 0, 1, 1, 1, 4, 1, 0, 0, 2, 0, 0, 2, 1, 1, 3, 0, 0, 0, 1, 4, 1, 2, 1, 2, 2, 4, 3, 3, 3, 4, 4, 4, 0, 2, 4, 1, 3, 2, 1, 2, 2, 3, 1, 3, 1, 3, 3, 2, 4, 4, 1, 4, 4, 0, 1, 2, 2, 4, 0, 4, 4, 3, 3, 2, 0, 4, 3, 2, 0, 0, 4, 3, 0, 2, 1, 3, 3, 1, 1, 1, 4, 3, 1, 2, 4, 0, 4, 4, 0, 4, 4, 4, 2, 1, 1, 4, 1, 2, 2, 0, 0, 2, 2, 4, 2, 1, 2, 4, 0, 3, 2, 2, 2, 0, 1, 2, 3, 4, 2, 3, 1, 1, 1, 4, 0, 4, 0, 3, 3, 3, 2, 4, 4, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 2, 0, 2, 3, 4, 4, 3, 3, 3, 3, 4, 4, 0, 4, 3, 3, 2, 0, 0, 2, 3, 3, 0, 4, 2, 1, 2, 0, 3, 4, 3, 1, 0, 2, 4, 3, 4] pubkeycol995 = [2, 0, 4, 2, 4, 3, 4, 3, 0, 2, 0, 4, 2, 4, 2, 2, 3, 3, 1, 2, 4, 4, 4, 1, 3, 1, 2, 0, 3, 0, 4, 4, 1, 1, 4, 4, 4, 4, 1, 4, 1, 3, 4, 2, 3, 2, 4, 2, 0, 3, 1, 4, 3, 3, 2, 0, 3, 3, 0, 0, 4, 3, 2, 3, 4, 4, 2, 2, 0, 3, 3, 4, 1, 3, 1, 3, 4, 4, 4, 1, 0, 4, 3, 3, 4, 1, 0, 3, 4, 4, 4, 4, 4, 0, 1, 3, 0, 3, 1, 3, 3, 1, 1, 4, 3, 3, 4, 0, 3, 2, 2, 2, 0, 2, 3, 0, 1, 3, 4, 0, 3, 1, 1, 0, 2, 3, 2, 4, 3, 1, 1, 0, 3, 1, 3, 4, 0, 2, 2, 1, 3, 0, 0, 0, 4, 3, 4, 2, 3, 3, 3, 0, 3, 3, 0, 4, 4, 4, 4, 2, 1, 3, 1, 3, 4, 4, 0, 1, 3, 2, 4, 0, 0, 2, 2, 4, 0, 4, 0, 0, 4, 3, 4, 1, 0, 2, 1, 2, 0, 0, 4, 2, 0, 0, 0, 0, 1, 1, 3, 0, 2, 4, 3, 0, 2, 4, 0, 2, 4, 3, 0, 4, 3, 4, 4, 3, 0, 0, 3, 1, 4, 2, 4, 4, 0, 0, 4, 4, 2, 1, 4, 1, 4, 3, 0, 1, 1, 1, 4, 1, 0, 1, 3, 0, 4, 3, 4, 2, 2, 3, 2, 3, 3, 3, 1, 2, 4, 3, 2, 1, 3, 1, 0, 1, 4, 3, 1, 3, 1, 0, 3, 1, 4, 3, 4, 2, 3, 3, 0, 1, 1, 3, 3, 2, 4, 2, 3, 4, 4, 3, 1, 2, 4, 4, 1, 1, 4, 2, 3, 2, 0, 0, 1, 2, 2, 1, 2, 4, 2, 3, 2, 1, 4, 0, 3, 2, 3, 4, 1, 4] pubkeycol996 = [4, 4, 4, 1, 4, 4, 4, 2, 2, 0, 1, 4, 4, 3, 3, 1, 0, 4, 1, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 3, 4, 3, 4, 1, 2, 4, 1, 3, 4, 0, 0, 2, 0, 0, 2, 1, 4, 4, 2, 0, 0, 1, 2, 0, 3, 4, 1, 1, 4, 1, 1, 0, 1, 2, 4, 0, 4, 0, 4, 3, 4, 2, 4, 1, 0, 2, 4, 2, 2, 3, 4, 1, 4, 1, 3, 4, 3, 3, 3, 0, 2, 1, 2, 0, 2, 4, 0, 3, 0, 4, 1, 1, 2, 0, 2, 0, 0, 3, 4, 2, 3, 3, 1, 4, 2, 0, 1, 2, 1, 3, 0, 0, 0, 2, 3, 0, 1, 2, 1, 3, 1, 1, 1, 1, 2, 4, 0, 0, 2, 1, 0, 3, 2, 1, 2, 1, 1, 2, 2, 3, 1, 3, 2, 2, 3, 4, 2, 2, 3, 1, 0, 4, 2, 2, 2, 3, 2, 1, 2, 2, 3, 3, 1, 4, 4, 4, 1, 0, 4, 1, 4, 3, 2, 1, 2, 4, 3, 0, 3, 2, 1, 0, 3, 1, 3, 4, 3, 1, 2, 1, 2, 2, 1, 1, 2, 2, 3, 0, 1, 2, 0, 3, 4, 2, 0, 0, 1, 0, 3, 0, 2, 1, 4, 0, 3, 2, 0, 0, 0, 2, 3, 3, 1, 0, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 3, 0, 1, 4, 1, 0, 0, 1, 1, 4, 2, 1, 2, 4, 2, 0, 3, 2, 1, 2, 3, 0, 0, 4, 3, 0, 0, 3, 0, 1, 2, 4, 0, 4, 0, 4, 0, 0, 2, 3, 4, 3, 3, 4, 3, 2, 1, 3, 0, 3, 3, 1, 2, 2, 0, 0, 4, 0, 1, 0, 3, 2, 1, 3, 4, 3, 4, 0, 3, 2, 0, 2, 1, 4, 2] pubkeycol997 = [4, 2, 1, 0, 4, 2, 3, 2, 2, 3, 3, 0, 1, 4, 2, 3, 3, 1, 1, 1, 4, 0, 4, 3, 4, 0, 4, 3, 4, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 3, 4, 1, 4, 2, 3, 4, 1, 1, 2, 4, 1, 4, 3, 2, 4, 4, 3, 4, 3, 2, 3, 0, 1, 3, 1, 0, 1, 1, 0, 4, 2, 4, 1, 1, 2, 3, 2, 0, 0, 4, 1, 2, 0, 2, 3, 4, 0, 1, 2, 4, 1, 0, 1, 2, 4, 1, 3, 3, 4, 1, 2, 0, 0, 0, 4, 2, 3, 3, 4, 3, 1, 4, 3, 0, 2, 3, 4, 4, 1, 1, 2, 1, 4, 3, 4, 2, 4, 0, 2, 3, 4, 2, 4, 0, 0, 1, 3, 4, 2, 0, 3, 0, 1, 2, 1, 1, 3, 1, 3, 2, 0, 3, 3, 4, 4, 1, 4, 2, 3, 2, 3, 1, 3, 4, 4, 4, 1, 4, 2, 0, 0, 2, 3, 2, 4, 1, 3, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 4, 0, 4, 2, 3, 0, 3, 4, 2, 3, 2, 0, 1, 2, 1, 3, 0, 2, 4, 3, 0, 0, 4, 0, 3, 3, 0, 0, 3, 3, 1, 4, 1, 0, 1, 4, 2, 4, 0, 4, 1, 0, 2, 2, 3, 0, 2, 3, 4, 4, 0, 3, 3, 4, 2, 0, 4, 3, 4, 0, 3, 2, 1, 1, 1, 2, 0, 3, 1, 3, 3, 1, 2, 1, 3, 2, 3, 0, 2, 3, 2, 4, 1, 1, 2, 2, 4, 3, 0, 1, 0, 3, 3, 0, 1, 2, 0, 3, 0, 2, 2, 1, 1, 3, 3, 4, 4, 4, 0, 3, 3, 3, 4, 3, 4, 4, 3, 1, 2, 1, 1, 1, 3, 2, 1, 1] pubkeycol998 = [1, 2, 1, 4, 1, 3, 0, 0, 2, 0, 3, 2, 2, 3, 1, 2, 4, 2, 2, 4, 3, 3, 0, 3, 4, 3, 3, 1, 1, 4, 3, 4, 1, 3, 3, 4, 4, 0, 4, 3, 3, 1, 3, 0, 1, 4, 2, 0, 4, 1, 3, 0, 0, 2, 1, 4, 3, 4, 1, 4, 2, 1, 3, 3, 1, 3, 0, 3, 4, 1, 4, 1, 2, 0, 2, 0, 1, 1, 0, 3, 2, 1, 0, 2, 2, 2, 2, 4, 1, 4, 1, 3, 1, 0, 4, 1, 0, 0, 4, 1, 2, 3, 1, 2, 3, 3, 4, 4, 0, 2, 4, 0, 0, 0, 4, 3, 0, 0, 2, 4, 1, 4, 2, 4, 0, 1, 0, 0, 1, 4, 2, 0, 0, 1, 2, 0, 1, 2, 4, 0, 3, 1, 2, 3, 0, 2, 0, 4, 2, 2, 0, 4, 4, 0, 2, 1, 3, 3, 2, 2, 1, 2, 3, 4, 2, 1, 1, 3, 2, 3, 0, 3, 3, 4, 2, 2, 3, 3, 1, 2, 0, 3, 2, 2, 3, 0, 2, 1, 3, 1, 0, 0, 4, 0, 3, 4, 1, 2, 3, 3, 1, 0, 2, 2, 4, 1, 3, 4, 0, 0, 4, 3, 3, 4, 2, 4, 4, 1, 2, 3, 4, 4, 4, 4, 4, 2, 2, 4, 3, 4, 2, 3, 4, 4, 1, 1, 3, 3, 4, 2, 3, 3, 3, 1, 4, 0, 3, 1, 4, 3, 3, 1, 1, 3, 4, 4, 4, 1, 2, 2, 0, 2, 0, 1, 1, 2, 4, 1, 3, 4, 0, 3, 1, 3, 0, 4, 1, 4, 4, 0, 3, 2, 0, 4, 0, 3, 1, 3, 3, 4, 3, 3, 4, 1, 2, 2, 2, 3, 0, 4, 3, 2, 2, 0, 3, 3, 3, 2, 0, 1, 0, 0, 3, 4, 3, 0, 2, 4, 3, 2] pubkeycol999 = [3, 4, 1, 4, 1, 4, 2, 4, 1, 2, 2, 2, 0, 0, 0, 3, 3, 3, 1, 3, 4, 3, 0, 4, 3, 0, 0, 4, 2, 0, 4, 2, 2, 2, 3, 4, 2, 4, 1, 2, 2, 0, 1, 0, 4, 3, 1, 3, 4, 1, 4, 4, 3, 2, 3, 0, 4, 1, 2, 0, 2, 4, 3, 3, 2, 1, 2, 3, 3, 4, 0, 0, 2, 3, 4, 3, 1, 1, 1, 4, 1, 2, 4, 0, 4, 3, 4, 2, 2, 1, 4, 4, 2, 4, 1, 1, 4, 2, 0, 3, 1, 2, 1, 0, 1, 4, 3, 0, 4, 1, 4, 3, 4, 4, 0, 2, 3, 4, 1, 3, 2, 0, 0, 1, 3, 1, 2, 2, 0, 2, 4, 1, 3, 3, 4, 4, 1, 4, 0, 1, 1, 2, 1, 3, 0, 0, 3, 3, 2, 0, 3, 1, 0, 4, 2, 3, 1, 3, 1, 4, 1, 0, 3, 2, 2, 2, 3, 2, 2, 3, 3, 4, 4, 0, 3, 2, 0, 1, 2, 1, 1, 3, 0, 1, 3, 3, 2, 1, 3, 1, 4, 4, 1, 1, 1, 4, 3, 2, 2, 2, 1, 3, 2, 1, 3, 0, 4, 2, 4, 1, 4, 4, 4, 4, 1, 0, 2, 1, 3, 0, 1, 1, 3, 1, 0, 3, 2, 2, 3, 2, 1, 3, 1, 4, 2, 2, 2, 1, 2, 1, 3, 1, 2, 0, 3, 0, 0, 3, 0, 1, 1, 0, 3, 0, 3, 1, 2, 2, 3, 2, 1, 3, 1, 3, 0, 1, 2, 0, 1, 2, 4, 3, 4, 2, 2, 1, 4, 1, 4, 3, 3, 2, 4, 4, 3, 2, 0, 3, 0, 1, 4, 4, 2, 1, 2, 3, 4, 3, 4, 4, 3, 4, 2, 2, 2, 4, 4, 0, 4, 3, 2, 1, 0, 1, 3, 0, 3, 2, 4, 0] pubkeycol1000 = [2, 0, 1, 3, 1, 1, 1, 3, 3, 0, 3, 1, 1, 0, 2, 1, 2, 3, 1, 2, 4, 3, 0, 0, 0, 2, 2, 1, 3, 4, 0, 3, 1, 2, 4, 1, 4, 0, 0, 1, 0, 3, 2, 3, 4, 3, 3, 3, 3, 2, 4, 3, 0, 2, 3, 3, 3, 2, 0, 3, 3, 3, 1, 3, 4, 1, 3, 3, 1, 0, 3, 0, 0, 0, 1, 3, 4, 0, 3, 4, 3, 1, 1, 2, 4, 2, 3, 1, 2, 4, 4, 1, 3, 2, 3, 3, 1, 4, 4, 0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 3, 4, 3, 1, 0, 0, 0, 3, 2, 0, 3, 3, 2, 3, 3, 3, 1, 4, 4, 1, 0, 1, 4, 0, 2, 3, 3, 4, 0, 0, 4, 0, 2, 3, 3, 0, 1, 4, 4, 1, 2, 1, 2, 3, 4, 3, 3, 4, 0, 1, 2, 2, 4, 4, 3, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 3, 2, 2, 4, 1, 2, 3, 1, 4, 4, 4, 1, 2, 3, 3, 3, 1, 3, 4, 2, 4, 3, 4, 4, 0, 2, 2, 2, 1, 3, 0, 2, 1, 0, 3, 1, 3, 3, 1, 0, 3, 2, 0, 3, 2, 0, 1, 0, 0, 2, 0, 3, 0, 0, 4, 0, 0, 1, 0, 0, 1, 2, 2, 4, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 2, 3, 0, 3, 4, 1, 1, 0, 3, 4, 4, 4, 2, 0, 0, 2, 0, 4, 0, 4, 2, 2, 2, 0, 3, 1, 1, 4, 2, 2, 4, 1, 0, 0, 3, 2, 2, 0, 2, 4, 0, 2, 0, 0, 1, 0, 4, 0, 2, 3, 3, 0, 3, 1, 0, 1, 3, 3, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 3, 4, 2, 1] pubkeycol1001 = [3, 1, 2, 4, 4, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 3, 4, 1, 4, 4, 1, 0, 0, 2, 3, 3, 0, 4, 2, 0, 0, 2, 4, 0, 1, 2, 1, 2, 0, 1, 4, 3, 0, 4, 0, 3, 3, 1, 3, 2, 3, 0, 1, 2, 0, 2, 1, 0, 2, 3, 4, 0, 4, 2, 4, 4, 2, 3, 3, 4, 0, 3, 1, 1, 3, 3, 0, 4, 4, 3, 0, 0, 1, 4, 3, 1, 1, 2, 3, 3, 3, 0, 3, 0, 3, 3, 4, 3, 4, 0, 2, 3, 2, 4, 1, 3, 0, 0, 3, 3, 1, 4, 0, 0, 0, 4, 0, 0, 1, 3, 3, 3, 3, 1, 2, 1, 0, 4, 1, 1, 3, 2, 1, 2, 2, 4, 3, 2, 1, 0, 2, 3, 0, 0, 1, 0, 1, 0, 1, 4, 3, 1, 4, 1, 4, 3, 3, 4, 1, 2, 4, 0, 1, 2, 0, 0, 1, 2, 3, 3, 3, 4, 2, 3, 4, 1, 3, 0, 0, 3, 0, 0, 2, 3, 4, 3, 1, 4, 1, 2, 2, 1, 1, 1, 1, 0, 3, 4, 4, 2, 0, 3, 0, 0, 0, 2, 2, 3, 4, 0, 3, 1, 1, 1, 3, 4, 3, 3, 0, 1, 2, 0, 4, 3, 1, 4, 0, 1, 3, 0, 3, 4, 0, 2, 3, 2, 3, 3, 0, 3, 1, 1, 4, 0, 4, 2, 1, 3, 4, 3, 0, 2, 0, 1, 4, 3, 2, 0, 0, 2, 1, 3, 4, 1, 4, 3, 2, 4, 2, 1, 4, 2, 0, 0, 1, 2, 1, 3, 4, 0, 0, 2, 3, 1, 0, 3, 2, 1, 1, 0, 4, 1, 2, 3, 1, 3, 1, 2, 4, 1, 4, 0, 4, 3, 2, 1, 0, 4, 4, 2, 2, 0, 0, 2, 0, 0, 1, 3, 4, 4] pubkeycol1002 = [3, 4, 2, 3, 2, 3, 0, 1, 0, 3, 3, 1, 3, 4, 2, 0, 0, 0, 1, 0, 3, 4, 0, 4, 2, 2, 2, 2, 2, 3, 2, 1, 0, 3, 0, 0, 2, 4, 1, 1, 2, 2, 1, 4, 1, 2, 4, 4, 1, 4, 0, 4, 0, 2, 1, 4, 2, 0, 3, 2, 1, 0, 1, 4, 0, 1, 2, 0, 2, 1, 3, 0, 2, 0, 4, 1, 0, 3, 4, 0, 2, 1, 3, 0, 2, 1, 2, 0, 3, 0, 0, 0, 4, 0, 0, 1, 1, 3, 1, 3, 4, 0, 4, 2, 2, 1, 3, 3, 1, 0, 4, 2, 2, 1, 4, 4, 2, 0, 2, 4, 2, 2, 4, 1, 3, 4, 2, 0, 1, 2, 0, 0, 3, 4, 4, 1, 3, 4, 4, 3, 0, 1, 1, 4, 1, 0, 2, 0, 2, 1, 3, 0, 3, 3, 2, 4, 4, 1, 0, 3, 1, 0, 3, 1, 4, 4, 2, 0, 1, 4, 0, 4, 3, 3, 2, 2, 2, 1, 1, 2, 1, 2, 3, 4, 2, 2, 1, 3, 1, 1, 3, 4, 2, 0, 3, 3, 1, 2, 2, 1, 1, 0, 1, 3, 4, 1, 4, 2, 0, 1, 2, 1, 3, 4, 4, 1, 3, 4, 0, 4, 1, 1, 1, 3, 3, 3, 2, 1, 3, 3, 4, 4, 3, 2, 0, 4, 0, 0, 0, 2, 1, 4, 2, 3, 1, 4, 1, 2, 2, 3, 4, 3, 0, 2, 2, 2, 2, 3, 0, 2, 3, 4, 4, 0, 0, 3, 4, 4, 4, 1, 4, 1, 4, 3, 3, 4, 1, 0, 4, 0, 4, 1, 2, 4, 1, 1, 2, 2, 1, 1, 3, 1, 1, 0, 0, 0, 4, 4, 3, 1, 3, 2, 1, 2, 4, 3, 1, 3, 1, 2, 3, 1, 4, 2, 1, 4, 3, 3, 1, 4] pubkeycol1003 = [2, 1, 1, 0, 0, 4, 4, 1, 2, 2, 4, 1, 4, 0, 3, 3, 3, 1, 4, 1, 1, 0, 4, 4, 4, 3, 3, 3, 2, 3, 2, 2, 4, 3, 0, 0, 2, 4, 4, 1, 3, 4, 2, 4, 2, 2, 0, 2, 1, 4, 4, 1, 3, 1, 2, 2, 2, 2, 1, 3, 0, 1, 4, 4, 3, 2, 4, 2, 4, 0, 2, 3, 1, 0, 1, 2, 3, 1, 4, 1, 3, 4, 3, 0, 3, 2, 1, 4, 3, 4, 0, 3, 2, 2, 4, 0, 1, 0, 4, 2, 2, 2, 1, 1, 0, 4, 4, 4, 1, 3, 4, 0, 0, 0, 3, 4, 4, 4, 3, 0, 4, 0, 0, 2, 1, 0, 4, 2, 2, 4, 0, 0, 4, 1, 2, 1, 0, 4, 3, 0, 4, 3, 3, 0, 2, 2, 4, 2, 3, 2, 2, 3, 2, 1, 1, 0, 1, 4, 3, 1, 2, 2, 3, 4, 2, 3, 3, 2, 2, 1, 0, 1, 3, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 3, 4, 2, 0, 4, 3, 0, 3, 4, 3, 1, 3, 2, 3, 4, 0, 0, 1, 1, 2, 1, 0, 1, 4, 2, 0, 4, 2, 2, 0, 2, 2, 3, 4, 2, 3, 4, 2, 3, 2, 4, 1, 4, 1, 4, 1, 4, 1, 3, 2, 1, 1, 3, 4, 3, 1, 1, 1, 4, 3, 0, 4, 2, 1, 2, 0, 0, 3, 1, 2, 3, 0, 0, 0, 1, 0, 4, 4, 1, 4, 2, 0, 3, 3, 4, 2, 0, 0, 4, 1, 3, 4, 2, 0, 1, 1, 2, 4, 2, 3, 3, 2, 3, 3, 2, 1, 2, 0, 2, 4, 2, 0, 0, 3, 4, 2, 0, 3, 0, 2, 3, 2, 4, 3, 2, 3, 1, 1, 2, 4, 4, 2, 4, 3, 0, 1, 0] pubkeycol1004 = [2, 4, 1, 2, 1, 3, 3, 1, 3, 4, 4, 3, 4, 0, 4, 1, 3, 0, 0, 2, 2, 2, 1, 4, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 3, 3, 1, 2, 2, 2, 3, 2, 4, 1, 3, 4, 2, 0, 4, 1, 1, 3, 4, 1, 0, 2, 4, 3, 2, 1, 0, 3, 1, 0, 1, 3, 1, 4, 1, 3, 3, 1, 4, 0, 1, 4, 1, 3, 4, 4, 4, 2, 0, 2, 0, 3, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 4, 0, 0, 3, 1, 0, 0, 1, 3, 2, 2, 2, 4, 2, 1, 3, 4, 2, 1, 1, 4, 3, 4, 4, 3, 2, 3, 1, 3, 3, 4, 1, 0, 2, 1, 0, 4, 0, 0, 1, 1, 3, 4, 4, 3, 1, 0, 1, 3, 0, 0, 4, 2, 1, 3, 4, 0, 4, 1, 4, 3, 0, 0, 1, 4, 2, 1, 4, 4, 4, 1, 4, 0, 2, 0, 1, 3, 0, 0, 0, 2, 3, 4, 3, 4, 3, 1, 2, 0, 0, 4, 0, 1, 2, 1, 4, 0, 2, 2, 2, 3, 4, 4, 4, 1, 0, 4, 1, 0, 1, 1, 3, 1, 0, 2, 2, 1, 3, 3, 4, 0, 0, 4, 3, 4, 1, 4, 4, 2, 4, 1, 2, 3, 0, 2, 4, 4, 4, 4, 0, 0, 4, 2, 4, 2, 0, 3, 3, 2, 4, 4, 2, 3, 3, 3, 4, 2, 2, 4, 1, 2, 0, 2, 3, 4, 2, 0, 1, 0, 2, 2, 1, 3, 3, 1, 4, 4, 2, 4, 2, 2, 0, 3, 3, 0, 4, 3, 4, 2, 1, 3, 0, 3, 4, 4, 3, 3, 0, 0, 2, 3, 3, 3, 3, 1, 1, 2, 2, 4, 2, 3, 4, 0, 4, 2, 3, 1, 1, 1, 0, 2] pubkeycol1005 = [0, 3, 0, 4, 2, 4, 4, 3, 0, 0, 3, 3, 2, 2, 0, 1, 4, 4, 3, 0, 4, 0, 3, 3, 1, 4, 4, 1, 0, 1, 0, 0, 1, 4, 2, 4, 1, 2, 1, 1, 1, 3, 2, 3, 1, 1, 0, 1, 4, 1, 1, 0, 2, 3, 0, 2, 2, 3, 1, 1, 3, 4, 3, 0, 3, 2, 0, 4, 2, 3, 0, 4, 2, 1, 3, 1, 1, 4, 0, 4, 2, 3, 2, 1, 4, 0, 3, 2, 2, 2, 4, 2, 2, 3, 0, 1, 2, 1, 1, 1, 3, 1, 2, 2, 2, 3, 0, 3, 2, 0, 0, 2, 2, 2, 1, 4, 0, 4, 0, 2, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 1, 4, 0, 1, 3, 0, 1, 4, 4, 3, 0, 2, 0, 2, 3, 2, 3, 0, 4, 1, 2, 0, 4, 4, 2, 2, 1, 0, 1, 0, 2, 4, 2, 2, 4, 4, 2, 4, 1, 0, 3, 1, 4, 2, 0, 3, 2, 1, 0, 1, 4, 0, 4, 1, 3, 3, 0, 2, 0, 1, 4, 1, 0, 3, 1, 2, 4, 3, 3, 0, 0, 1, 0, 0, 2, 3, 2, 2, 3, 3, 3, 2, 1, 0, 1, 3, 4, 4, 2, 1, 1, 0, 2, 2, 4, 2, 4, 4, 0, 3, 3, 4, 2, 1, 0, 3, 2, 3, 1, 0, 0, 1, 3, 3, 2, 2, 2, 3, 4, 0, 1, 4, 3, 3, 3, 4, 1, 4, 1, 0, 0, 2, 1, 0, 0, 2, 3, 1, 2, 1, 1, 1, 0, 1, 1, 3, 2, 4, 3, 2, 1, 3, 3, 3, 1, 0, 2, 3, 2, 4, 2, 1, 1, 4, 4, 0, 1, 3, 1, 1, 4, 0, 4, 0, 4, 3, 0, 3, 3, 1, 4, 3, 3, 0, 4, 3, 0, 1, 2, 4] pubkeycol1006 = [0, 3, 1, 4, 4, 0, 2, 1, 3, 4, 2, 3, 3, 3, 3, 1, 0, 3, 1, 3, 2, 2, 0, 1, 3, 0, 0, 0, 1, 0, 4, 4, 3, 4, 1, 4, 4, 0, 1, 1, 0, 4, 0, 3, 3, 3, 1, 0, 3, 0, 3, 4, 0, 1, 4, 3, 4, 1, 0, 4, 4, 1, 4, 4, 0, 0, 3, 0, 2, 4, 3, 2, 3, 4, 4, 3, 0, 1, 4, 3, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 4, 3, 0, 3, 3, 4, 1, 0, 4, 2, 2, 2, 2, 4, 2, 4, 3, 4, 1, 2, 3, 4, 4, 4, 0, 3, 3, 1, 0, 1, 4, 4, 3, 4, 3, 4, 1, 3, 2, 2, 2, 0, 3, 3, 3, 2, 1, 1, 2, 0, 2, 1, 3, 0, 3, 3, 3, 0, 3, 1, 0, 0, 2, 4, 3, 0, 2, 4, 1, 3, 3, 0, 3, 1, 2, 3, 4, 2, 3, 1, 4, 4, 0, 1, 4, 2, 4, 3, 2, 3, 4, 3, 4, 2, 4, 4, 0, 2, 4, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 3, 2, 3, 1, 0, 3, 0, 0, 4, 4, 4, 4, 3, 0, 3, 0, 4, 3, 1, 1, 1, 3, 3, 2, 2, 2, 4, 1, 4, 3, 2, 4, 4, 0, 0, 4, 3, 1, 0, 3, 2, 4, 4, 2, 1, 4, 1, 3, 3, 4, 1, 4, 3, 4, 4, 4, 2, 4, 1, 0, 0, 2, 0, 3, 2, 2, 3, 1, 1, 2, 3, 1, 1, 0, 2, 1, 0, 0, 2, 4, 4, 0, 2, 4, 4, 2, 0, 2, 1, 4, 4, 2, 1, 2, 2, 4, 1, 3, 3, 0, 1, 4, 3, 4, 3, 0, 4, 3, 4, 0, 0, 2, 4, 0, 0, 4, 2] pubkeycol1007 = [0, 0, 4, 3, 4, 1, 2, 1, 4, 2, 1, 3, 1, 1, 1, 2, 3, 1, 2, 4, 1, 0, 0, 3, 2, 1, 4, 2, 0, 2, 1, 2, 1, 2, 4, 4, 4, 3, 4, 4, 2, 3, 4, 2, 3, 4, 0, 1, 1, 4, 1, 4, 0, 2, 4, 3, 2, 4, 0, 0, 1, 2, 4, 4, 3, 4, 3, 2, 0, 1, 4, 1, 2, 0, 4, 3, 1, 4, 0, 3, 3, 3, 4, 0, 2, 4, 3, 4, 1, 1, 4, 0, 1, 4, 3, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 3, 4, 1, 4, 3, 0, 4, 4, 3, 1, 1, 0, 1, 1, 4, 3, 0, 4, 4, 2, 3, 2, 2, 2, 0, 1, 0, 4, 1, 1, 3, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 3, 1, 3, 4, 1, 3, 0, 1, 3, 2, 2, 3, 2, 0, 1, 0, 3, 0, 1, 2, 0, 1, 3, 2, 4, 0, 2, 1, 3, 2, 1, 0, 0, 4, 3, 1, 1, 0, 1, 2, 0, 0, 0, 4, 4, 0, 4, 2, 2, 3, 1, 3, 0, 1, 4, 2, 2, 2, 2, 4, 1, 0, 3, 4, 1, 3, 1, 0, 1, 2, 1, 0, 3, 4, 0, 4, 4, 4, 4, 2, 0, 2, 0, 0, 2, 4, 0, 3, 4, 0, 4, 0, 2, 4, 3, 0, 2, 3, 2, 4, 4, 0, 2, 2, 2, 3, 0, 3, 0, 1, 0, 2, 4, 4, 0, 1, 4, 3, 0, 4, 2, 4, 2, 3, 0, 0, 4, 2, 0, 3, 3, 3, 1, 1, 3, 1, 2, 4, 4, 4, 4, 4, 1, 4, 0, 4, 2, 4, 2, 4, 3, 4, 1, 4, 3, 0, 3, 2, 3, 2, 3, 0, 3, 2, 3, 3, 1, 3, 2, 1, 0, 0, 4, 1] pubkeycol1008 = [2, 4, 2, 3, 3, 1, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 2, 4, 2, 0, 0, 2, 0, 1, 1, 3, 1, 4, 4, 0, 1, 2, 1, 2, 0, 4, 2, 3, 2, 2, 0, 1, 0, 0, 2, 3, 3, 4, 0, 3, 2, 3, 4, 0, 1, 2, 1, 0, 3, 2, 2, 0, 2, 4, 2, 3, 4, 0, 1, 0, 4, 0, 3, 1, 4, 0, 2, 4, 4, 0, 0, 3, 0, 0, 0, 3, 4, 2, 4, 3, 2, 1, 1, 2, 0, 2, 0, 1, 1, 3, 0, 3, 3, 4, 3, 3, 3, 2, 3, 3, 0, 0, 2, 0, 1, 0, 1, 3, 3, 0, 0, 3, 0, 0, 1, 1, 4, 3, 4, 3, 4, 4, 3, 3, 0, 4, 4, 2, 3, 4, 4, 0, 1, 2, 0, 3, 3, 3, 2, 0, 0, 1, 4, 2, 4, 2, 2, 0, 3, 3, 1, 1, 4, 3, 1, 4, 1, 4, 3, 2, 1, 0, 2, 3, 3, 1, 1, 2, 2, 0, 0, 1, 0, 1, 4, 3, 3, 0, 0, 2, 2, 1, 2, 0, 4, 4, 3, 0, 4, 3, 0, 3, 1, 1, 3, 3, 3, 0, 3, 4, 4, 4, 0, 3, 0, 4, 3, 2, 0, 0, 3, 3, 0, 2, 3, 2, 2, 2, 3, 3, 3, 1, 4, 2, 2, 2, 0, 4, 4, 2, 1, 1, 2, 3, 3, 4, 3, 3, 0, 0, 3, 4, 2, 1, 3, 0, 4, 4, 0, 1, 4, 3, 0, 3, 3, 1, 0, 3, 3, 3, 0, 1, 0, 1, 4, 0, 0, 4, 1, 2, 4, 2, 3, 0, 4, 2, 3, 1, 1, 0, 2, 3, 1, 1, 4, 3, 0, 4, 1, 3, 0, 1, 1, 1, 3, 1, 3, 3, 2, 0, 3, 0, 4, 2, 0, 4, 1, 3, 4, 0] pubkeycol1009 = [2, 4, 1, 3, 2, 3, 3, 3, 4, 2, 3, 0, 0, 2, 3, 0, 4, 2, 1, 0, 4, 4, 1, 4, 4, 4, 4, 4, 3, 0, 2, 3, 3, 1, 0, 0, 1, 1, 0, 4, 4, 1, 1, 0, 4, 2, 2, 3, 1, 1, 2, 2, 0, 1, 3, 2, 0, 4, 0, 1, 1, 1, 2, 4, 3, 4, 1, 1, 4, 2, 1, 3, 0, 4, 1, 2, 3, 0, 2, 4, 2, 3, 4, 1, 0, 0, 3, 2, 0, 3, 0, 3, 1, 4, 0, 3, 3, 0, 4, 0, 2, 2, 0, 1, 2, 4, 4, 3, 0, 4, 1, 2, 2, 1, 1, 3, 3, 3, 0, 0, 4, 0, 1, 1, 2, 4, 1, 3, 0, 4, 2, 3, 3, 3, 1, 4, 2, 0, 2, 1, 4, 4, 3, 4, 2, 4, 3, 1, 3, 1, 4, 1, 3, 3, 3, 0, 4, 1, 4, 4, 0, 0, 3, 0, 2, 4, 3, 0, 3, 2, 0, 3, 0, 0, 3, 3, 3, 3, 2, 0, 4, 4, 4, 1, 0, 1, 1, 3, 2, 4, 4, 4, 3, 4, 1, 0, 3, 4, 2, 1, 0, 1, 0, 3, 1, 2, 1, 4, 4, 1, 4, 3, 3, 4, 0, 4, 3, 4, 0, 4, 3, 4, 2, 3, 3, 1, 3, 1, 4, 4, 0, 4, 1, 4, 3, 3, 1, 0, 4, 2, 4, 4, 1, 4, 1, 3, 0, 3, 0, 1, 0, 2, 3, 4, 3, 3, 2, 3, 3, 3, 1, 3, 3, 2, 4, 2, 1, 0, 1, 0, 4, 3, 0, 0, 3, 4, 0, 3, 0, 3, 3, 0, 3, 1, 1, 3, 4, 1, 2, 2, 0, 0, 4, 2, 2, 1, 3, 4, 0, 4, 4, 4, 3, 3, 2, 4, 4, 3, 0, 2, 4, 1, 2, 3, 4, 3, 4, 4, 1, 2] pubkeycol1010 = [1, 3, 4, 3, 1, 1, 2, 3, 2, 1, 1, 4, 4, 4, 3, 3, 0, 2, 4, 4, 0, 0, 4, 2, 0, 1, 1, 4, 3, 1, 4, 0, 3, 2, 1, 0, 3, 2, 3, 4, 3, 2, 0, 0, 2, 2, 3, 1, 3, 2, 4, 2, 2, 1, 3, 4, 4, 4, 1, 1, 0, 0, 3, 2, 3, 0, 4, 0, 2, 0, 4, 4, 2, 4, 0, 1, 1, 2, 0, 3, 3, 4, 4, 3, 2, 0, 4, 0, 4, 1, 2, 3, 3, 1, 4, 2, 0, 0, 4, 0, 2, 1, 4, 3, 2, 1, 2, 4, 2, 1, 1, 0, 2, 1, 4, 4, 3, 2, 0, 1, 0, 1, 4, 2, 3, 3, 4, 1, 3, 4, 3, 2, 3, 0, 4, 0, 2, 4, 1, 2, 3, 1, 3, 1, 0, 2, 3, 3, 0, 0, 3, 0, 4, 2, 1, 4, 3, 4, 0, 0, 3, 2, 1, 4, 3, 4, 0, 1, 3, 1, 0, 0, 4, 0, 1, 4, 1, 2, 3, 2, 1, 4, 0, 4, 3, 1, 3, 1, 2, 3, 1, 2, 0, 4, 2, 4, 2, 1, 3, 3, 4, 3, 4, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 3, 3, 1, 2, 0, 3, 1, 2, 0, 2, 3, 1, 3, 2, 2, 3, 3, 4, 0, 1, 1, 3, 3, 2, 3, 3, 2, 0, 3, 2, 4, 1, 3, 1, 1, 1, 2, 1, 0, 3, 4, 1, 1, 2, 4, 4, 4, 4, 1, 0, 3, 3, 2, 2, 1, 4, 1, 3, 3, 0, 0, 3, 0, 2, 0, 4, 2, 1, 0, 2, 3, 4, 3, 2, 2, 1, 4, 0, 1, 2, 2, 1, 4, 1, 1, 4, 1, 4, 3, 1, 4, 4, 1, 0, 1, 2, 2, 3, 2, 1, 3, 1, 1, 2, 4, 0, 0] pubkeycol1011 = [0, 3, 2, 1, 0, 3, 3, 0, 0, 2, 0, 1, 3, 4, 3, 3, 1, 4, 4, 2, 4, 1, 1, 4, 1, 0, 1, 1, 1, 1, 1, 0, 1, 3, 3, 1, 1, 3, 4, 0, 1, 2, 1, 2, 2, 4, 3, 2, 3, 3, 4, 0, 1, 3, 4, 3, 3, 1, 3, 0, 2, 1, 0, 4, 3, 0, 4, 3, 4, 1, 2, 3, 2, 1, 0, 4, 4, 0, 0, 0, 3, 3, 1, 3, 2, 4, 1, 4, 4, 0, 3, 0, 4, 2, 0, 2, 4, 1, 4, 3, 0, 1, 1, 4, 2, 1, 0, 3, 3, 3, 0, 1, 3, 2, 4, 1, 4, 2, 0, 0, 1, 1, 2, 3, 1, 0, 2, 2, 2, 1, 1, 1, 2, 4, 1, 1, 0, 0, 1, 3, 4, 1, 4, 0, 1, 3, 3, 2, 4, 1, 3, 2, 1, 1, 0, 1, 4, 1, 1, 2, 1, 3, 4, 2, 2, 0, 2, 3, 0, 0, 1, 4, 3, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 4, 2, 4, 0, 2, 0, 4, 3, 1, 4, 2, 1, 1, 3, 0, 2, 4, 3, 3, 3, 4, 2, 3, 3, 2, 2, 1, 2, 1, 2, 4, 2, 1, 3, 1, 2, 1, 3, 4, 3, 4, 0, 2, 4, 2, 3, 3, 4, 0, 4, 0, 1, 2, 1, 2, 3, 4, 2, 0, 3, 2, 2, 0, 1, 3, 3, 3, 1, 1, 2, 0, 0, 1, 4, 1, 1, 3, 2, 4, 4, 2, 3, 2, 1, 3, 0, 0, 1, 1, 0, 0, 3, 2, 4, 0, 2, 2, 3, 1, 2, 2, 1, 4, 4, 3, 1, 1, 4, 3, 3, 4, 4, 4, 4, 3, 2, 4, 3, 4, 2, 0, 3, 0, 0, 3, 4, 2, 3, 0, 1, 1, 0, 4] pubkeycol1012 = [4, 0, 2, 4, 3, 1, 1, 1, 4, 3, 1, 1, 4, 1, 0, 2, 2, 3, 2, 0, 3, 3, 4, 4, 1, 1, 4, 4, 4, 4, 3, 4, 4, 0, 3, 2, 2, 1, 4, 2, 4, 3, 1, 2, 0, 3, 4, 3, 3, 1, 3, 2, 0, 0, 2, 1, 3, 2, 2, 4, 1, 2, 3, 4, 1, 4, 2, 3, 1, 2, 2, 1, 1, 0, 0, 3, 3, 0, 4, 0, 0, 0, 4, 3, 3, 4, 3, 2, 2, 3, 4, 2, 0, 4, 1, 0, 2, 2, 1, 0, 4, 1, 0, 2, 1, 2, 1, 4, 3, 2, 4, 3, 4, 4, 0, 3, 4, 1, 4, 4, 2, 0, 1, 0, 3, 0, 0, 0, 0, 1, 4, 0, 2, 0, 3, 1, 0, 2, 4, 2, 1, 0, 2, 1, 4, 4, 4, 1, 3, 0, 3, 4, 2, 1, 3, 1, 4, 1, 4, 4, 2, 2, 3, 3, 0, 2, 0, 1, 1, 0, 0, 2, 3, 3, 0, 0, 2, 4, 1, 2, 2, 2, 0, 1, 4, 1, 0, 3, 3, 2, 1, 2, 3, 0, 1, 2, 4, 0, 4, 4, 0, 0, 1, 2, 4, 1, 1, 1, 0, 4, 4, 0, 3, 3, 3, 3, 1, 0, 1, 4, 4, 0, 4, 3, 3, 3, 2, 4, 4, 2, 4, 0, 2, 4, 2, 2, 0, 0, 3, 2, 3, 1, 3, 4, 0, 1, 3, 3, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 4, 3, 2, 0, 3, 3, 4, 3, 0, 3, 4, 3, 2, 2, 2, 1, 4, 3, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 4, 0, 4, 3, 1, 2, 2, 2, 0, 2, 0, 3, 3, 3, 4, 2, 4, 1, 3, 3, 1, 4, 1, 0, 4, 2, 2, 0, 4, 2, 3, 2, 0] pubkeycol1013 = [1, 3, 0, 3, 3, 3, 1, 2, 0, 0, 3, 1, 1, 4, 1, 1, 3, 3, 0, 4, 0, 2, 1, 4, 3, 2, 3, 3, 3, 1, 3, 0, 2, 0, 1, 4, 0, 4, 2, 0, 1, 4, 2, 4, 0, 0, 0, 4, 0, 3, 1, 2, 4, 0, 3, 1, 2, 2, 1, 0, 4, 4, 3, 1, 1, 4, 2, 4, 2, 2, 4, 0, 1, 3, 1, 2, 1, 2, 2, 1, 1, 3, 2, 1, 1, 3, 1, 4, 2, 1, 4, 3, 1, 3, 2, 2, 2, 0, 3, 2, 3, 3, 4, 1, 3, 1, 4, 1, 4, 0, 3, 2, 0, 2, 1, 4, 3, 1, 0, 2, 4, 1, 2, 1, 2, 4, 4, 4, 3, 1, 3, 4, 0, 4, 2, 3, 3, 4, 2, 4, 4, 1, 1, 1, 4, 2, 1, 2, 3, 3, 2, 0, 0, 2, 0, 0, 1, 1, 3, 3, 2, 1, 2, 1, 1, 1, 2, 3, 0, 0, 4, 3, 0, 2, 4, 0, 3, 4, 2, 1, 4, 0, 2, 2, 3, 4, 1, 3, 4, 1, 2, 0, 2, 3, 4, 0, 0, 1, 4, 1, 1, 2, 4, 1, 4, 4, 2, 0, 2, 1, 1, 4, 4, 1, 0, 4, 4, 4, 1, 3, 0, 2, 4, 1, 4, 2, 2, 0, 4, 1, 1, 0, 1, 3, 3, 4, 4, 0, 3, 2, 0, 4, 3, 1, 0, 4, 2, 2, 0, 0, 1, 1, 3, 0, 2, 4, 4, 4, 1, 0, 4, 3, 2, 4, 4, 0, 3, 3, 4, 0, 1, 3, 0, 1, 2, 1, 4, 2, 0, 1, 0, 3, 2, 3, 1, 4, 0, 2, 2, 3, 2, 4, 2, 2, 2, 1, 0, 4, 3, 4, 3, 0, 3, 3, 0, 0, 2, 0, 0, 1, 3, 3, 1, 4, 1, 1, 1, 4, 4, 4] pubkeycol1014 = [2, 2, 4, 0, 2, 3, 1, 0, 3, 2, 4, 2, 3, 0, 0, 2, 1, 2, 3, 0, 1, 1, 0, 3, 4, 1, 4, 3, 4, 3, 1, 1, 3, 0, 3, 2, 0, 3, 1, 2, 3, 0, 4, 1, 4, 3, 1, 3, 1, 2, 0, 3, 4, 1, 2, 4, 1, 2, 0, 0, 1, 1, 0, 2, 1, 4, 4, 0, 2, 2, 2, 4, 2, 4, 3, 4, 1, 0, 1, 4, 1, 2, 2, 1, 2, 1, 1, 3, 0, 4, 0, 3, 4, 1, 4, 2, 3, 1, 1, 3, 1, 2, 4, 1, 0, 1, 0, 2, 1, 0, 3, 4, 0, 0, 4, 2, 4, 4, 3, 0, 0, 2, 4, 0, 3, 0, 4, 4, 1, 3, 2, 1, 3, 3, 1, 2, 4, 4, 4, 1, 4, 4, 4, 2, 2, 0, 0, 1, 2, 0, 1, 3, 4, 2, 4, 0, 0, 0, 0, 3, 3, 3, 0, 4, 3, 1, 2, 0, 3, 2, 2, 2, 1, 4, 1, 4, 2, 4, 2, 3, 3, 3, 1, 0, 2, 3, 0, 3, 1, 1, 4, 2, 0, 2, 1, 3, 0, 4, 1, 1, 0, 1, 0, 3, 4, 4, 0, 1, 1, 3, 3, 4, 4, 4, 4, 0, 3, 1, 0, 2, 1, 2, 0, 4, 4, 1, 0, 1, 2, 3, 0, 2, 3, 1, 0, 4, 0, 0, 2, 3, 3, 0, 2, 0, 1, 3, 1, 4, 2, 4, 1, 0, 0, 0, 2, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 4, 3, 4, 2, 4, 4, 2, 1, 3, 1, 0, 2, 4, 0, 4, 4, 1, 4, 0, 0, 4, 3, 1, 0, 0, 1, 0, 3, 2, 4, 0, 1, 1, 4, 2, 3, 2, 1, 2, 1, 0, 2, 1, 0, 1, 4, 4, 1, 1, 1, 0, 4, 4, 3, 4] pubkeycol1015 = [4, 2, 1, 4, 0, 3, 2, 0, 1, 3, 2, 3, 1, 0, 2, 4, 4, 0, 1, 4, 1, 2, 0, 1, 0, 4, 2, 4, 0, 0, 0, 4, 1, 0, 2, 2, 3, 1, 2, 3, 1, 2, 1, 4, 3, 4, 3, 1, 2, 2, 4, 0, 0, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 4, 0, 4, 2, 4, 3, 4, 2, 0, 4, 3, 0, 0, 3, 1, 4, 2, 2, 4, 3, 2, 2, 1, 4, 2, 3, 1, 1, 4, 4, 0, 1, 1, 3, 0, 1, 1, 0, 0, 2, 0, 0, 4, 1, 3, 2, 3, 3, 0, 4, 3, 2, 4, 4, 3, 1, 3, 4, 4, 1, 1, 0, 1, 3, 1, 3, 1, 2, 0, 1, 1, 0, 3, 4, 2, 0, 0, 3, 2, 3, 1, 1, 4, 4, 3, 2, 0, 4, 3, 3, 0, 0, 2, 2, 3, 1, 3, 4, 4, 4, 0, 0, 2, 1, 4, 4, 1, 2, 3, 3, 3, 0, 1, 3, 0, 4, 4, 0, 1, 2, 2, 1, 1, 4, 1, 1, 3, 0, 4, 1, 4, 3, 0, 3, 2, 2, 0, 1, 0, 3, 0, 0, 0, 1, 3, 1, 2, 4, 0, 1, 1, 2, 0, 4, 1, 2, 3, 0, 3, 0, 2, 3, 4, 4, 0, 0, 4, 1, 3, 3, 1, 3, 0, 0, 2, 2, 2, 0, 1, 1, 2, 4, 1, 0, 2, 4, 1, 2, 4, 3, 4, 4, 0, 2, 2, 0, 4, 2, 3, 0, 3, 0, 2, 0, 2, 3, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 4, 3, 2, 1, 0, 0, 2, 0, 4, 3, 2, 0, 1, 2, 4, 1, 3, 2, 4, 0, 3, 2, 1, 0, 1, 3, 3, 0, 1, 4, 0, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2] pubkeycol1016 = [1, 3, 3, 3, 4, 1, 4, 1, 2, 4, 4, 1, 4, 0, 0, 4, 4, 2, 2, 2, 2, 1, 4, 2, 3, 1, 1, 1, 1, 3, 1, 0, 4, 1, 2, 4, 3, 3, 2, 4, 0, 2, 4, 4, 3, 3, 4, 2, 2, 0, 0, 2, 4, 3, 4, 0, 3, 0, 1, 1, 0, 1, 3, 1, 0, 0, 3, 4, 1, 3, 2, 3, 4, 2, 1, 0, 1, 0, 0, 1, 3, 4, 4, 4, 0, 4, 0, 1, 0, 0, 3, 4, 3, 4, 1, 4, 4, 2, 4, 4, 2, 4, 3, 4, 2, 3, 1, 1, 2, 1, 3, 1, 1, 0, 2, 0, 0, 3, 3, 0, 1, 4, 4, 0, 3, 3, 1, 3, 1, 2, 2, 3, 3, 1, 3, 0, 4, 1, 4, 2, 1, 2, 0, 4, 3, 1, 2, 0, 0, 2, 0, 4, 2, 4, 1, 4, 4, 3, 1, 3, 4, 1, 3, 0, 0, 3, 3, 1, 2, 2, 3, 1, 1, 2, 4, 1, 3, 3, 3, 0, 4, 3, 4, 1, 2, 4, 2, 0, 0, 0, 2, 3, 1, 2, 0, 3, 0, 3, 3, 3, 3, 2, 4, 3, 1, 2, 0, 0, 3, 1, 0, 2, 2, 1, 1, 2, 0, 4, 1, 1, 1, 4, 0, 4, 4, 2, 2, 0, 1, 1, 1, 2, 3, 4, 4, 0, 3, 4, 3, 0, 1, 3, 0, 0, 4, 4, 1, 2, 3, 2, 3, 1, 4, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 2, 1, 1, 1, 2, 4, 2, 1, 3, 2, 1, 2, 2, 3, 4, 3, 3, 4, 2, 2, 2, 2, 0, 3, 2, 1, 3, 0, 3, 3, 4, 0, 4, 3, 4, 2, 2, 4, 2, 2, 3, 4, 3, 3, 2, 0, 0, 1, 0, 1, 3, 3, 1, 2, 3] pubkeycol1017 = [3, 4, 4, 3, 4, 4, 4, 2, 2, 0, 2, 2, 3, 1, 4, 3, 3, 1, 3, 2, 4, 2, 0, 0, 4, 0, 2, 1, 1, 3, 3, 3, 0, 1, 1, 0, 4, 4, 4, 4, 0, 3, 3, 2, 0, 0, 2, 3, 2, 1, 3, 3, 0, 1, 3, 3, 1, 1, 1, 4, 4, 4, 1, 4, 3, 2, 0, 1, 3, 2, 4, 2, 1, 2, 3, 1, 3, 0, 2, 3, 1, 2, 3, 1, 3, 3, 3, 0, 1, 3, 2, 0, 4, 3, 1, 1, 3, 3, 2, 2, 4, 3, 3, 2, 3, 2, 0, 2, 3, 2, 2, 3, 1, 4, 0, 1, 1, 0, 3, 2, 3, 2, 2, 1, 3, 4, 3, 3, 4, 3, 1, 3, 2, 4, 2, 0, 3, 3, 2, 3, 3, 2, 4, 4, 4, 3, 2, 1, 2, 3, 3, 3, 3, 2, 1, 0, 3, 0, 4, 3, 3, 4, 2, 1, 4, 2, 4, 3, 1, 1, 4, 0, 2, 4, 0, 2, 0, 2, 1, 3, 1, 4, 3, 3, 1, 1, 2, 1, 0, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 3, 1, 3, 4, 4, 4, 3, 0, 0, 0, 4, 2, 0, 2, 0, 3, 3, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 4, 1, 0, 3, 3, 0, 3, 0, 3, 3, 4, 4, 0, 0, 3, 0, 2, 4, 4, 3, 4, 2, 4, 0, 4, 1, 1, 4, 4, 1, 3, 2, 2, 0, 1, 0, 1, 1, 4, 1, 3, 2, 2, 4, 1, 1, 3, 1, 3, 3, 1, 1, 2, 0, 0, 4, 2, 0, 0, 3, 1, 4, 2, 4, 4, 0, 4, 4, 2, 0, 3, 1, 0, 1, 3, 0, 1, 0, 4, 4, 1, 4] pubkeycol1018 = [2, 3, 1, 1, 0, 3, 3, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 4, 0, 2, 3, 4, 3, 0, 4, 4, 4, 1, 1, 3, 4, 1, 4, 0, 4, 3, 2, 3, 3, 3, 4, 4, 2, 4, 1, 2, 0, 1, 3, 0, 3, 3, 2, 3, 1, 3, 1, 3, 3, 4, 0, 0, 4, 1, 4, 2, 1, 2, 4, 1, 1, 2, 4, 4, 3, 2, 2, 4, 4, 0, 0, 3, 4, 3, 3, 4, 3, 0, 3, 3, 4, 0, 2, 1, 4, 0, 4, 1, 4, 3, 4, 3, 4, 4, 1, 0, 2, 2, 4, 0, 1, 2, 0, 0, 4, 4, 3, 3, 2, 4, 4, 0, 1, 4, 4, 4, 3, 1, 2, 3, 4, 4, 3, 3, 0, 0, 3, 3, 3, 4, 0, 2, 4, 4, 3, 0, 4, 1, 3, 3, 2, 2, 0, 1, 1, 3, 1, 4, 2, 2, 2, 1, 4, 3, 4, 1, 2, 2, 3, 0, 4, 0, 0, 0, 3, 2, 4, 4, 2, 0, 1, 3, 0, 1, 2, 1, 2, 4, 2, 2, 3, 3, 0, 1, 4, 3, 3, 4, 0, 2, 2, 4, 3, 1, 3, 2, 3, 0, 2, 3, 4, 2, 1, 2, 2, 2, 2, 1, 0, 1, 4, 4, 3, 2, 4, 3, 1, 4, 1, 1, 4, 3, 1, 2, 0, 4, 4, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 0, 3, 3, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 4, 3, 4, 1, 1, 0, 4, 3, 3, 3, 4, 1, 1, 0, 1, 4, 2, 2, 2, 0, 1, 3, 4, 0, 2, 2, 4, 4, 1, 0, 1, 1, 0, 1, 1, 0, 3, 0, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 1, 1, 0, 2, 0, 3, 1, 1, 2, 2] pubkeycol1019 = [1, 0, 3, 2, 3, 4, 2, 3, 2, 4, 1, 4, 4, 2, 1, 4, 1, 3, 2, 2, 3, 2, 1, 0, 3, 1, 0, 1, 4, 0, 2, 3, 2, 1, 2, 1, 4, 4, 2, 4, 0, 0, 1, 1, 2, 3, 0, 3, 4, 0, 4, 3, 4, 0, 4, 1, 3, 3, 2, 0, 4, 0, 0, 3, 0, 3, 3, 0, 1, 3, 1, 3, 4, 3, 3, 0, 3, 1, 4, 3, 4, 2, 1, 3, 2, 2, 0, 2, 1, 0, 3, 4, 0, 0, 4, 2, 4, 0, 0, 2, 0, 0, 4, 3, 4, 4, 3, 4, 4, 3, 0, 0, 1, 1, 2, 0, 3, 0, 1, 2, 2, 3, 0, 3, 0, 1, 1, 0, 0, 2, 3, 1, 1, 1, 1, 0, 4, 3, 2, 4, 4, 0, 1, 3, 4, 0, 2, 3, 0, 1, 2, 1, 0, 1, 3, 2, 2, 0, 4, 4, 3, 0, 2, 0, 1, 0, 0, 0, 1, 3, 1, 3, 2, 0, 0, 3, 3, 3, 0, 4, 0, 1, 0, 1, 0, 2, 1, 0, 1, 4, 0, 2, 3, 3, 3, 0, 2, 3, 2, 1, 1, 3, 0, 0, 3, 3, 0, 2, 0, 3, 0, 0, 0, 0, 3, 0, 2, 2, 1, 4, 3, 2, 4, 4, 3, 1, 3, 3, 0, 4, 0, 2, 1, 1, 0, 4, 0, 3, 1, 4, 2, 2, 0, 2, 1, 3, 4, 2, 3, 2, 2, 2, 0, 1, 1, 0, 4, 4, 1, 3, 1, 2, 2, 0, 2, 0, 4, 3, 2, 0, 4, 3, 3, 0, 0, 4, 0, 4, 2, 0, 4, 2, 1, 4, 3, 4, 4, 4, 4, 4, 1, 1, 0, 0, 2, 0, 2, 0, 4, 0, 2, 1, 3, 3, 0, 1, 0, 3, 2, 1, 1, 1, 2, 1, 4, 3, 4, 4, 0, 0] pubkeycol1020 = [1, 1, 1, 1, 0, 3, 2, 3, 0, 1, 2, 1, 1, 2, 0, 0, 3, 1, 0, 2, 4, 0, 2, 3, 1, 3, 4, 2, 0, 1, 2, 2, 4, 2, 1, 2, 3, 1, 0, 2, 4, 4, 4, 1, 2, 4, 2, 4, 2, 0, 0, 3, 1, 3, 1, 2, 2, 3, 3, 2, 1, 0, 4, 3, 0, 1, 4, 1, 4, 0, 1, 4, 3, 0, 2, 3, 2, 0, 2, 2, 2, 4, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 0, 3, 4, 3, 2, 4, 3, 2, 1, 0, 4, 3, 4, 1, 2, 2, 3, 3, 1, 2, 4, 2, 0, 1, 3, 4, 2, 4, 2, 0, 3, 4, 3, 2, 0, 2, 3, 3, 1, 0, 3, 1, 4, 1, 4, 4, 4, 2, 2, 0, 0, 1, 0, 2, 4, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 3, 4, 0, 2, 4, 0, 1, 3, 0, 1, 0, 4, 2, 1, 2, 3, 2, 1, 4, 2, 4, 1, 0, 2, 1, 4, 1, 2, 4, 1, 1, 0, 2, 4, 4, 1, 2, 3, 1, 4, 4, 0, 0, 1, 4, 2, 1, 2, 1, 4, 2, 0, 0, 4, 2, 4, 2, 2, 0, 4, 1, 3, 0, 4, 1, 0, 4, 1, 0, 1, 0, 4, 4, 3, 4, 2, 4, 2, 2, 4, 1, 0, 4, 0, 1, 1, 1, 3, 1, 1, 3, 2, 2, 0, 2, 4, 3, 1, 4, 2, 0, 0, 1, 4, 3, 1, 0, 2, 1, 2, 2, 0, 2, 4, 2, 3, 1, 1, 1, 1, 1, 4, 3, 4, 2, 3, 1, 3, 0, 3, 2, 1, 1, 1, 4, 1, 4, 4, 0, 4, 0, 3, 4, 1, 3, 3, 3, 0, 2, 2, 4, 4, 2, 2, 4] pubkeycol1021 = [0, 2, 3, 1, 3, 4, 1, 2, 3, 1, 0, 0, 4, 4, 2, 1, 2, 1, 1, 0, 2, 4, 4, 2, 0, 2, 3, 2, 3, 2, 1, 0, 1, 4, 3, 0, 1, 0, 1, 4, 0, 4, 0, 0, 0, 2, 2, 3, 4, 4, 1, 3, 4, 3, 2, 1, 2, 2, 2, 0, 0, 4, 4, 2, 0, 4, 2, 2, 1, 4, 2, 4, 2, 3, 4, 0, 4, 0, 1, 1, 4, 3, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 0, 2, 3, 0, 2, 2, 0, 4, 0, 3, 0, 1, 0, 0, 2, 3, 0, 2, 3, 0, 0, 2, 0, 0, 3, 4, 1, 0, 1, 2, 3, 1, 1, 2, 0, 0, 0, 3, 1, 0, 4, 2, 1, 4, 3, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 4, 1, 4, 4, 1, 2, 4, 3, 4, 2, 0, 0, 0, 1, 2, 2, 2, 2, 3, 0, 2, 4, 2, 1, 2, 3, 1, 4, 2, 3, 3, 4, 2, 1, 4, 2, 0, 0, 0, 1, 4, 0, 0, 2, 4, 1, 4, 3, 0, 4, 2, 1, 2, 0, 4, 1, 1, 1, 1, 2, 0, 1, 3, 3, 1, 1, 2, 2, 1, 3, 1, 2, 4, 2, 4, 3, 4, 2, 1, 3, 2, 4, 3, 0, 0, 3, 1, 0, 2, 0, 0, 3, 0, 1, 0, 3, 0, 4, 2, 2, 2, 1, 1, 4, 3, 4, 3, 4, 4, 0, 3, 1, 0, 3, 3, 0, 1, 2, 1, 2, 4, 2, 1, 4, 4, 1, 0, 2, 1, 3, 1, 2, 2, 4, 1, 4, 4, 2, 4, 1, 2, 3, 1, 1, 3, 4, 3, 3, 1, 1, 2, 3, 1, 1, 0, 2, 3, 2, 0, 0, 0, 4, 3, 3, 2, 0, 1, 1, 1, 3, 1] pubkeycol1022 = [3, 0, 1, 0, 4, 0, 2, 3, 2, 4, 2, 1, 1, 0, 3, 2, 3, 4, 0, 1, 4, 2, 2, 3, 4, 1, 2, 2, 2, 0, 2, 4, 4, 0, 1, 2, 1, 3, 2, 4, 1, 0, 4, 3, 2, 2, 1, 0, 1, 4, 3, 3, 3, 2, 0, 3, 0, 4, 2, 1, 1, 3, 3, 1, 1, 4, 2, 3, 4, 2, 3, 4, 2, 4, 4, 4, 0, 0, 0, 1, 3, 2, 2, 0, 0, 4, 3, 4, 2, 0, 0, 0, 2, 1, 0, 4, 2, 0, 3, 2, 0, 2, 2, 4, 1, 3, 3, 1, 2, 3, 4, 3, 1, 4, 3, 0, 3, 4, 1, 0, 0, 4, 1, 1, 3, 2, 1, 4, 0, 0, 1, 3, 0, 1, 4, 2, 1, 4, 1, 4, 2, 2, 1, 1, 2, 0, 0, 4, 2, 3, 0, 2, 3, 4, 0, 4, 0, 1, 2, 2, 4, 2, 0, 0, 3, 3, 2, 0, 2, 4, 4, 0, 0, 0, 4, 0, 0, 1, 3, 4, 4, 2, 4, 4, 1, 3, 3, 4, 4, 4, 2, 2, 3, 2, 1, 2, 2, 2, 0, 2, 1, 3, 1, 2, 3, 0, 4, 3, 1, 1, 4, 4, 1, 0, 0, 1, 1, 0, 4, 2, 3, 4, 3, 3, 2, 4, 2, 0, 1, 2, 0, 0, 3, 4, 0, 2, 3, 0, 0, 0, 2, 4, 1, 4, 0, 0, 4, 0, 0, 2, 4, 1, 4, 1, 0, 3, 1, 0, 3, 0, 4, 1, 1, 2, 4, 2, 3, 1, 4, 3, 0, 1, 3, 2, 2, 3, 1, 1, 0, 0, 4, 3, 0, 1, 1, 3, 2, 1, 1, 4, 4, 4, 1, 4, 3, 0, 2, 0, 2, 4, 3, 3, 3, 4, 1, 2, 2, 3, 3, 1, 0, 0, 2, 3, 0, 1, 0, 4, 3, 3] pubkeycol1023 = [1, 3, 0, 3, 4, 2, 1, 2, 1, 3, 4, 0, 4, 1, 0, 2, 0, 1, 2, 4, 4, 3, 4, 4, 3, 1, 1, 4, 3, 3, 2, 3, 4, 2, 4, 4, 4, 2, 0, 3, 1, 3, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 4, 1, 1, 3, 0, 4, 1, 3, 0, 0, 4, 2, 4, 3, 3, 4, 4, 2, 0, 4, 1, 4, 0, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 4, 2, 1, 0, 4, 0, 3, 1, 1, 0, 0, 4, 1, 1, 3, 1, 1, 0, 2, 2, 1, 3, 2, 4, 0, 4, 2, 0, 0, 4, 3, 0, 4, 3, 0, 4, 0, 4, 3, 3, 2, 0, 2, 2, 2, 3, 2, 2, 2, 0, 0, 3, 2, 0, 2, 2, 1, 2, 0, 2, 3, 1, 0, 1, 0, 3, 0, 0, 4, 1, 3, 0, 4, 0, 1, 2, 0, 4, 0, 4, 0, 3, 3, 1, 1, 0, 2, 2, 0, 3, 3, 4, 0, 4, 4, 0, 4, 0, 3, 1, 3, 0, 0, 0, 0, 3, 3, 4, 0, 1, 1, 3, 0, 2, 2, 3, 1, 3, 2, 2, 3, 1, 4, 0, 2, 3, 2, 2, 0, 3, 2, 2, 3, 0, 3, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 3, 0, 1, 4, 3, 0, 3, 1, 1, 3, 4, 0, 1, 1, 2, 2, 3, 2, 3, 4, 3, 0, 0, 0, 1, 2, 2, 3, 3, 0, 3, 3, 2, 4, 1, 3, 0, 0, 3, 4, 1, 4, 4, 2, 4, 2, 4, 2, 4, 3, 0, 3, 2, 1, 1, 0, 3, 2, 2, 3, 0, 1, 0, 2, 3, 4, 0, 3, 2, 0, 4, 0, 3, 0, 2, 4, 3, 4, 0, 4, 0, 3, 4, 2, 2, 4, 4, 0, 3] pubkeycol1024 = [2, 0, 4, 1, 0, 2, 4, 3, 1, 3, 1, 4, 1, 4, 0, 2, 0, 2, 4, 3, 1, 0, 0, 3, 2, 0, 4, 0, 3, 4, 3, 2, 2, 3, 0, 2, 2, 1, 0, 3, 2, 0, 3, 0, 4, 0, 3, 4, 0, 2, 2, 4, 3, 0, 3, 4, 4, 3, 0, 4, 0, 2, 4, 0, 1, 4, 4, 4, 4, 3, 0, 3, 2, 0, 4, 3, 1, 2, 0, 3, 3, 3, 1, 3, 4, 2, 0, 2, 1, 0, 4, 1, 1, 2, 1, 3, 4, 2, 3, 2, 4, 1, 3, 3, 4, 2, 0, 2, 4, 1, 4, 2, 2, 2, 3, 0, 0, 1, 3, 3, 3, 2, 1, 4, 2, 2, 2, 1, 3, 4, 2, 3, 1, 0, 3, 2, 4, 4, 2, 2, 3, 4, 0, 0, 1, 3, 4, 4, 4, 4, 1, 2, 3, 0, 3, 2, 3, 4, 0, 1, 3, 4, 2, 0, 3, 4, 4, 2, 4, 2, 4, 0, 0, 1, 1, 0, 2, 2, 3, 1, 4, 0, 3, 0, 4, 3, 0, 4, 4, 3, 0, 0, 1, 3, 4, 1, 4, 3, 1, 4, 4, 1, 3, 2, 3, 3, 3, 2, 1, 0, 3, 0, 3, 1, 1, 1, 3, 2, 2, 3, 3, 4, 1, 1, 0, 2, 2, 4, 3, 1, 4, 1, 1, 4, 1, 2, 3, 2, 4, 4, 0, 3, 3, 1, 3, 1, 2, 2, 4, 4, 1, 3, 2, 3, 3, 1, 2, 4, 4, 4, 1, 4, 0, 1, 4, 2, 4, 1, 2, 1, 0, 1, 3, 4, 3, 4, 1, 3, 1, 0, 0, 0, 0, 4, 1, 4, 3, 3, 1, 3, 0, 3, 2, 2, 0, 2, 2, 0, 1, 4, 4, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 4, 1, 1, 3, 0, 3, 4, 4, 3] pubkeycol1025 = [0, 4, 3, 0, 1, 1, 3, 3, 2, 1, 2, 1, 1, 4, 3, 4, 1, 4, 0, 4, 2, 4, 1, 4, 2, 4, 4, 3, 2, 3, 4, 0, 2, 3, 1, 3, 1, 0, 1, 2, 2, 0, 0, 4, 0, 3, 2, 3, 3, 4, 3, 3, 2, 3, 0, 0, 0, 1, 0, 1, 1, 3, 1, 0, 3, 3, 3, 4, 4, 3, 2, 0, 2, 2, 0, 2, 3, 4, 4, 1, 4, 3, 0, 1, 0, 2, 4, 0, 3, 0, 4, 4, 4, 0, 4, 4, 4, 0, 3, 3, 2, 2, 2, 1, 1, 3, 4, 0, 4, 4, 1, 4, 4, 1, 3, 4, 2, 2, 3, 4, 3, 4, 0, 2, 0, 1, 2, 1, 3, 4, 2, 4, 1, 3, 1, 0, 3, 1, 3, 4, 2, 2, 4, 4, 2, 0, 2, 1, 2, 3, 3, 0, 4, 1, 3, 3, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 3, 0, 2, 0, 2, 4, 4, 4, 0, 3, 4, 3, 0, 4, 2, 3, 3, 2, 1, 1, 1, 4, 4, 1, 3, 3, 3, 2, 3, 3, 4, 2, 0, 1, 4, 3, 3, 3, 3, 1, 1, 2, 0, 1, 3, 1, 0, 3, 2, 4, 0, 3, 3, 3, 2, 3, 1, 2, 0, 3, 3, 3, 2, 3, 4, 1, 4, 1, 3, 4, 2, 1, 2, 1, 3, 1, 0, 0, 2, 0, 1, 3, 4, 1, 3, 1, 3, 1, 0, 4, 3, 4, 4, 1, 0, 2, 2, 0, 2, 2, 4, 4, 3, 1, 4, 3, 1, 2, 1, 3, 1, 0, 0, 0, 4, 3, 1, 4, 4, 2, 0, 3, 3, 3, 4, 4, 3, 2, 4, 3, 4, 2, 2, 4, 3, 4, 1, 3, 1, 2, 1, 0, 3, 1, 4, 1, 0, 3, 3, 2, 3, 1, 2] pubkeycol1026 = [1, 3, 2, 1, 2, 2, 4, 4, 3, 1, 3, 2, 4, 2, 1, 4, 3, 3, 2, 1, 4, 3, 2, 4, 1, 1, 4, 4, 2, 2, 3, 4, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 3, 3, 4, 3, 0, 2, 3, 3, 3, 3, 3, 2, 3, 0, 3, 1, 2, 1, 0, 2, 4, 4, 1, 4, 0, 2, 0, 4, 1, 2, 4, 4, 3, 3, 0, 2, 0, 2, 0, 4, 2, 1, 0, 3, 4, 2, 4, 1, 2, 3, 0, 1, 3, 4, 2, 2, 1, 1, 0, 3, 0, 3, 1, 2, 0, 4, 2, 4, 2, 2, 1, 2, 4, 4, 2, 4, 3, 2, 0, 1, 2, 0, 2, 2, 4, 1, 3, 2, 3, 3, 3, 0, 3, 4, 4, 3, 2, 4, 0, 2, 1, 1, 0, 4, 2, 0, 4, 2, 0, 3, 0, 4, 3, 2, 4, 4, 2, 3, 4, 4, 0, 2, 0, 2, 2, 3, 4, 4, 1, 0, 0, 4, 3, 3, 0, 4, 3, 2, 1, 1, 3, 2, 4, 0, 2, 0, 1, 4, 1, 3, 2, 4, 1, 2, 0, 3, 0, 4, 1, 1, 2, 0, 0, 1, 4, 3, 2, 2, 1, 0, 4, 2, 1, 3, 2, 4, 4, 3, 4, 1, 2, 0, 0, 2, 3, 4, 0, 0, 1, 3, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 4, 2, 3, 1, 0, 1, 4, 3, 1, 0, 2, 1, 3, 0, 0, 4, 0, 2, 1, 2, 1, 3, 3, 3, 3, 0, 3, 3, 1, 1, 4, 0, 3, 3, 3, 3, 3, 3, 4, 1, 4, 3, 3, 2, 3, 2, 4, 2, 0, 0, 4, 4, 4, 2, 3, 3, 4, 4, 3, 2, 4, 3, 0, 3, 1, 3, 1, 0, 3, 1, 1, 0, 0, 3, 0, 1] pubkeycol1027 = [2, 2, 3, 4, 0, 4, 2, 3, 1, 3, 0, 3, 0, 0, 0, 4, 4, 1, 3, 4, 1, 1, 4, 3, 2, 4, 3, 1, 3, 1, 0, 3, 3, 2, 1, 0, 1, 1, 2, 3, 2, 4, 3, 1, 0, 4, 4, 4, 3, 1, 4, 2, 3, 4, 3, 0, 2, 4, 1, 1, 4, 4, 4, 4, 0, 1, 0, 1, 0, 3, 4, 3, 2, 1, 0, 2, 1, 0, 2, 4, 0, 4, 3, 4, 0, 0, 4, 4, 2, 1, 0, 0, 0, 4, 3, 4, 1, 2, 2, 3, 0, 2, 1, 4, 1, 2, 4, 1, 4, 0, 0, 0, 4, 0, 1, 0, 0, 1, 3, 4, 0, 4, 2, 0, 1, 2, 3, 0, 3, 2, 1, 2, 0, 4, 4, 0, 4, 0, 4, 4, 1, 0, 1, 3, 1, 1, 0, 0, 4, 1, 2, 2, 1, 3, 4, 4, 4, 3, 0, 3, 2, 0, 2, 4, 4, 0, 4, 1, 3, 1, 3, 3, 4, 0, 1, 0, 4, 4, 3, 1, 3, 1, 1, 0, 0, 0, 1, 4, 0, 2, 3, 1, 4, 4, 1, 1, 0, 2, 0, 4, 0, 3, 1, 2, 2, 1, 0, 3, 2, 4, 4, 4, 3, 4, 3, 1, 0, 0, 4, 2, 1, 0, 1, 0, 3, 0, 3, 3, 2, 0, 0, 4, 2, 1, 0, 0, 2, 0, 4, 4, 4, 4, 0, 4, 2, 2, 2, 1, 2, 0, 4, 4, 2, 4, 3, 2, 0, 1, 0, 0, 1, 1, 2, 4, 2, 0, 0, 3, 0, 2, 4, 4, 4, 2, 2, 0, 0, 1, 3, 3, 0, 3, 0, 0, 1, 4, 0, 3, 2, 0, 3, 0, 4, 3, 3, 1, 3, 2, 0, 0, 2, 0, 2, 4, 0, 3, 0, 3, 3, 1, 4, 1, 0, 0, 2, 2, 1, 4, 0, 2] pubkeycol1028 = [4, 4, 3, 0, 0, 1, 4, 3, 1, 4, 3, 4, 3, 0, 1, 4, 0, 2, 3, 2, 4, 1, 0, 4, 1, 0, 3, 4, 4, 1, 3, 2, 0, 0, 1, 4, 3, 4, 0, 2, 3, 4, 2, 3, 0, 3, 0, 0, 4, 2, 2, 4, 1, 1, 4, 3, 4, 1, 3, 3, 3, 1, 1, 4, 3, 0, 2, 4, 1, 3, 3, 0, 3, 4, 1, 4, 3, 0, 1, 2, 1, 0, 3, 0, 4, 3, 0, 0, 0, 1, 3, 1, 3, 0, 3, 0, 1, 4, 1, 3, 1, 3, 3, 2, 0, 0, 4, 1, 2, 4, 1, 2, 0, 0, 1, 4, 3, 3, 3, 4, 2, 0, 3, 0, 0, 0, 2, 0, 2, 4, 0, 1, 0, 1, 3, 0, 2, 4, 1, 0, 3, 4, 2, 4, 4, 2, 4, 2, 1, 4, 4, 0, 3, 4, 3, 3, 2, 1, 2, 4, 3, 3, 2, 3, 0, 4, 4, 1, 2, 1, 3, 3, 4, 4, 0, 4, 3, 2, 1, 3, 2, 3, 2, 0, 0, 0, 4, 3, 1, 2, 4, 3, 1, 0, 4, 3, 0, 4, 3, 4, 3, 1, 2, 4, 2, 3, 4, 3, 1, 2, 3, 1, 4, 2, 3, 0, 1, 2, 4, 2, 3, 3, 0, 1, 2, 1, 1, 2, 4, 3, 2, 0, 1, 2, 2, 3, 4, 1, 1, 4, 3, 3, 4, 3, 4, 4, 1, 3, 1, 2, 1, 1, 1, 4, 4, 4, 0, 4, 0, 2, 1, 1, 3, 4, 2, 4, 4, 2, 0, 3, 2, 0, 0, 3, 1, 0, 3, 2, 3, 4, 2, 3, 3, 4, 0, 0, 1, 3, 2, 3, 2, 2, 3, 4, 4, 4, 1, 1, 4, 3, 2, 3, 1, 2, 1, 0, 1, 2, 0, 2, 4, 3, 2, 3, 3, 2, 0, 4, 2, 3] pubkeycol1029 = [4, 2, 4, 2, 4, 0, 3, 3, 2, 0, 0, 0, 2, 1, 2, 4, 0, 2, 2, 2, 4, 4, 1, 3, 4, 4, 4, 1, 1, 3, 0, 3, 3, 3, 4, 1, 1, 0, 3, 4, 2, 0, 1, 0, 2, 2, 4, 1, 2, 1, 3, 0, 2, 1, 2, 4, 4, 3, 0, 2, 1, 0, 4, 4, 4, 1, 0, 1, 0, 1, 3, 4, 3, 2, 2, 4, 2, 0, 1, 4, 4, 2, 4, 0, 4, 1, 2, 3, 2, 3, 2, 2, 4, 1, 3, 1, 3, 0, 4, 1, 4, 3, 2, 0, 1, 2, 0, 4, 1, 2, 3, 4, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 4, 3, 3, 3, 1, 4, 0, 4, 1, 3, 3, 1, 0, 4, 3, 1, 0, 1, 0, 4, 4, 2, 1, 4, 3, 4, 1, 4, 1, 3, 1, 2, 3, 4, 4, 0, 3, 4, 3, 1, 4, 2, 4, 2, 3, 4, 2, 0, 3, 2, 2, 4, 0, 1, 2, 0, 2, 3, 3, 2, 1, 2, 0, 2, 1, 4, 3, 2, 4, 0, 2, 3, 0, 2, 2, 0, 4, 4, 1, 0, 3, 4, 1, 1, 4, 3, 4, 2, 0, 2, 2, 0, 2, 0, 1, 2, 3, 3, 4, 4, 2, 1, 1, 4, 3, 4, 2, 3, 2, 0, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 0, 4, 3, 2, 3, 4, 1, 4, 3, 0, 4, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 3, 4, 1, 1, 3, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 3, 1, 0, 4, 1, 0, 3, 0, 1, 0, 0, 2, 2, 4, 0, 2, 0, 3, 0, 4, 2, 1, 1, 1, 2, 1, 2, 0, 3, 0, 0] pubkeycol1030 = [1, 3, 2, 3, 3, 0, 4, 0, 2, 0, 0, 2, 1, 1, 0, 3, 1, 4, 3, 4, 2, 1, 1, 2, 1, 4, 4, 2, 3, 2, 0, 3, 0, 2, 2, 1, 4, 0, 0, 4, 1, 1, 4, 1, 0, 2, 0, 2, 4, 3, 2, 3, 4, 0, 3, 0, 1, 4, 3, 1, 3, 2, 2, 0, 0, 1, 1, 4, 1, 3, 4, 3, 0, 1, 3, 3, 0, 2, 0, 0, 3, 0, 1, 1, 2, 3, 4, 4, 4, 0, 0, 0, 0, 3, 3, 0, 2, 1, 1, 4, 1, 0, 2, 3, 0, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 2, 3, 4, 3, 2, 0, 2, 0, 1, 1, 4, 2, 4, 3, 1, 3, 1, 1, 0, 3, 2, 3, 4, 3, 3, 2, 2, 2, 1, 3, 0, 0, 4, 0, 1, 3, 4, 3, 4, 0, 3, 2, 0, 1, 1, 3, 3, 4, 0, 0, 4, 1, 4, 2, 2, 2, 1, 2, 2, 2, 2, 0, 4, 0, 1, 1, 3, 4, 1, 1, 2, 1, 4, 0, 3, 4, 3, 0, 4, 1, 0, 0, 3, 1, 3, 2, 4, 0, 3, 3, 3, 0, 4, 0, 1, 1, 2, 0, 3, 2, 1, 3, 0, 2, 3, 1, 2, 2, 4, 0, 3, 2, 1, 0, 4, 2, 0, 0, 4, 2, 3, 1, 2, 0, 1, 1, 2, 2, 4, 3, 4, 4, 0, 0, 3, 0, 2, 1, 4, 4, 3, 1, 2, 3, 3, 2, 1, 4, 1, 4, 0, 4, 4, 0, 3, 4, 4, 2, 2, 0, 0, 2, 2, 2, 0, 3, 1, 2, 0, 4, 0, 3, 4, 4, 2, 1, 0, 3, 1, 0, 4, 0, 0, 0, 4, 3, 3, 1, 0, 3, 1, 3, 3, 1, 0, 3, 3, 3, 1, 0, 3, 4, 4, 0, 1] pubkeycol1031 = [0, 0, 3, 1, 3, 4, 3, 2, 2, 0, 3, 1, 0, 2, 3, 3, 2, 1, 1, 0, 4, 1, 0, 2, 4, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 0, 3, 1, 0, 2, 0, 1, 3, 4, 4, 3, 2, 3, 3, 4, 4, 3, 0, 1, 1, 3, 1, 2, 3, 2, 3, 4, 2, 0, 3, 3, 4, 0, 2, 3, 4, 4, 3, 2, 2, 4, 3, 1, 1, 3, 1, 1, 2, 2, 3, 1, 0, 1, 0, 1, 4, 1, 0, 3, 2, 2, 0, 4, 3, 4, 0, 3, 2, 0, 0, 3, 3, 3, 2, 0, 4, 1, 0, 1, 3, 0, 0, 4, 0, 4, 0, 2, 1, 4, 0, 1, 0, 4, 4, 4, 2, 2, 3, 1, 0, 0, 3, 3, 0, 0, 3, 0, 4, 2, 1, 1, 4, 3, 2, 3, 4, 0, 2, 2, 3, 1, 3, 3, 3, 0, 1, 1, 4, 0, 0, 0, 3, 1, 0, 2, 2, 1, 0, 1, 3, 2, 4, 1, 2, 2, 2, 1, 4, 0, 1, 1, 1, 4, 0, 3, 2, 4, 0, 2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 3, 4, 3, 1, 4, 1, 4, 3, 0, 2, 2, 4, 2, 2, 3, 1, 2, 4, 2, 2, 4, 2, 2, 3, 0, 1, 4, 3, 0, 0, 3, 3, 4, 0, 2, 2, 0, 1, 2, 1, 4, 1, 2, 1, 0, 0, 3, 1, 4, 0, 3, 1, 0, 1, 0, 0, 2, 0, 3, 1, 2, 3, 0, 3, 2, 1, 4, 1, 4, 1, 2, 0, 4, 4, 3, 2, 4, 1, 3, 0, 1, 3, 1, 2, 3, 0, 3, 4, 3, 0, 2, 2, 2, 3, 2, 1, 4, 2, 1, 4, 2, 4, 2, 4, 1, 2, 4, 4, 1, 0, 3, 3, 4, 2, 3] pubkeycol1032 = [2, 0, 2, 0, 3, 3, 2, 2, 3, 1, 3, 4, 4, 4, 0, 3, 1, 1, 1, 0, 0, 2, 1, 4, 2, 0, 4, 3, 2, 3, 4, 4, 2, 4, 4, 2, 1, 2, 3, 4, 0, 4, 3, 4, 1, 0, 4, 1, 3, 4, 4, 2, 2, 1, 0, 3, 0, 1, 0, 3, 0, 0, 0, 1, 3, 2, 1, 4, 1, 2, 3, 0, 3, 1, 2, 2, 2, 4, 3, 3, 3, 4, 4, 2, 3, 3, 4, 1, 4, 4, 3, 4, 0, 2, 2, 3, 0, 4, 3, 4, 0, 3, 3, 2, 2, 4, 1, 3, 4, 4, 3, 3, 0, 1, 1, 1, 1, 4, 1, 3, 0, 2, 2, 0, 4, 4, 4, 3, 4, 3, 4, 4, 0, 2, 2, 3, 2, 3, 1, 4, 4, 4, 4, 2, 0, 1, 4, 4, 4, 0, 2, 4, 3, 1, 4, 1, 1, 4, 4, 2, 1, 1, 3, 2, 1, 0, 2, 3, 1, 3, 0, 1, 4, 2, 1, 0, 4, 1, 0, 3, 1, 1, 1, 3, 3, 0, 4, 3, 3, 3, 3, 1, 3, 1, 2, 3, 2, 2, 2, 1, 4, 4, 1, 2, 2, 2, 2, 3, 3, 3, 2, 0, 1, 0, 4, 1, 0, 1, 2, 0, 0, 0, 0, 4, 0, 2, 1, 2, 4, 2, 2, 1, 0, 0, 3, 4, 3, 2, 3, 4, 0, 4, 3, 2, 2, 1, 1, 4, 2, 4, 2, 1, 2, 4, 0, 1, 3, 4, 1, 3, 4, 4, 0, 2, 0, 0, 4, 0, 3, 4, 0, 1, 3, 3, 2, 2, 1, 1, 2, 4, 3, 4, 1, 0, 4, 0, 2, 1, 2, 4, 1, 3, 1, 3, 3, 2, 4, 3, 0, 4, 3, 2, 1, 2, 0, 0, 4, 2, 2, 1, 1, 1, 0, 0, 0, 3, 3, 1, 4, 0] pubkeycol1033 = [4, 2, 3, 1, 2, 0, 3, 2, 1, 2, 2, 1, 1, 2, 3, 1, 0, 1, 4, 0, 0, 1, 2, 4, 1, 3, 4, 2, 1, 1, 3, 1, 2, 1, 1, 0, 1, 4, 2, 2, 2, 3, 3, 2, 1, 2, 2, 4, 1, 3, 0, 1, 4, 1, 3, 0, 3, 4, 3, 2, 0, 3, 1, 4, 0, 4, 4, 4, 3, 2, 3, 1, 4, 3, 0, 0, 3, 4, 0, 1, 3, 2, 0, 4, 1, 1, 2, 1, 1, 3, 3, 4, 1, 4, 4, 1, 0, 1, 3, 2, 1, 3, 1, 2, 4, 2, 2, 3, 3, 4, 3, 3, 4, 0, 4, 3, 4, 1, 1, 4, 1, 0, 0, 0, 4, 2, 0, 2, 1, 3, 4, 1, 2, 1, 2, 1, 3, 3, 1, 4, 4, 3, 1, 2, 0, 0, 1, 1, 4, 3, 2, 4, 2, 4, 2, 4, 3, 1, 2, 2, 1, 3, 3, 0, 3, 0, 2, 3, 1, 0, 0, 3, 0, 4, 4, 1, 0, 0, 3, 3, 2, 0, 1, 1, 4, 3, 1, 1, 3, 1, 1, 2, 0, 3, 3, 0, 4, 0, 4, 2, 0, 2, 1, 1, 4, 1, 1, 0, 2, 2, 2, 4, 0, 1, 4, 2, 3, 0, 3, 4, 2, 4, 1, 2, 1, 4, 4, 1, 3, 0, 3, 1, 1, 4, 3, 2, 4, 0, 4, 1, 1, 1, 2, 2, 1, 3, 4, 4, 1, 3, 2, 3, 2, 2, 4, 0, 0, 0, 1, 3, 4, 3, 0, 3, 2, 1, 2, 4, 4, 2, 1, 2, 1, 2, 4, 1, 4, 2, 1, 2, 3, 3, 2, 3, 0, 2, 4, 4, 2, 4, 3, 3, 1, 3, 1, 0, 0, 0, 4, 3, 1, 3, 2, 0, 0, 4, 1, 1, 3, 2, 1, 0, 4, 4, 4, 3, 2, 3, 0, 1] pubkeycol1034 = [2, 2, 3, 2, 2, 3, 3, 0, 0, 3, 1, 3, 2, 2, 1, 1, 4, 0, 4, 3, 4, 3, 3, 4, 3, 4, 1, 2, 3, 1, 2, 1, 2, 1, 2, 4, 4, 3, 1, 0, 0, 0, 0, 2, 4, 0, 2, 3, 3, 0, 1, 1, 2, 3, 0, 2, 4, 4, 2, 0, 2, 2, 2, 3, 1, 0, 1, 0, 4, 3, 3, 3, 3, 4, 3, 0, 4, 0, 2, 4, 1, 4, 3, 2, 0, 4, 4, 4, 1, 1, 0, 2, 3, 3, 2, 4, 1, 4, 4, 1, 1, 1, 2, 1, 0, 0, 3, 4, 2, 3, 1, 4, 1, 2, 1, 1, 3, 1, 4, 4, 1, 3, 4, 0, 3, 0, 0, 4, 4, 0, 2, 3, 0, 2, 3, 4, 1, 4, 2, 0, 4, 4, 0, 4, 1, 3, 0, 1, 1, 0, 1, 0, 4, 3, 0, 1, 2, 0, 1, 4, 3, 2, 3, 2, 4, 3, 4, 2, 4, 2, 2, 3, 2, 2, 2, 2, 4, 3, 1, 4, 1, 4, 1, 0, 1, 1, 3, 3, 2, 1, 1, 1, 0, 1, 3, 2, 2, 0, 4, 4, 0, 2, 2, 3, 3, 0, 3, 0, 2, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 4, 1, 4, 1, 3, 4, 0, 2, 0, 0, 3, 3, 4, 1, 2, 1, 2, 0, 0, 4, 2, 1, 4, 4, 4, 1, 3, 4, 2, 2, 2, 0, 0, 4, 2, 1, 1, 1, 2, 1, 1, 3, 4, 0, 4, 2, 4, 3, 0, 2, 1, 0, 2, 3, 3, 3, 4, 2, 0, 3, 4, 0, 3, 3, 3, 0, 2, 3, 1, 4, 2, 0, 0, 4, 4, 0, 3, 1, 3, 0, 4, 4, 4, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 0, 2, 2, 4, 4, 2, 3] pubkeycol1035 = [4, 2, 2, 1, 4, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 3, 3, 1, 0, 3, 1, 2, 3, 2, 4, 1, 4, 4, 4, 1, 3, 0, 1, 1, 2, 4, 2, 2, 3, 4, 0, 1, 3, 4, 0, 4, 2, 0, 2, 4, 2, 3, 2, 2, 4, 0, 4, 0, 2, 1, 1, 3, 2, 4, 3, 3, 2, 3, 4, 3, 4, 3, 2, 4, 2, 4, 3, 0, 4, 4, 1, 2, 4, 3, 4, 1, 3, 0, 2, 0, 1, 3, 2, 3, 1, 1, 4, 1, 3, 3, 4, 2, 4, 0, 1, 0, 4, 3, 4, 4, 0, 1, 2, 3, 3, 1, 2, 2, 1, 0, 2, 4, 4, 3, 1, 4, 4, 4, 1, 1, 4, 4, 1, 2, 2, 0, 1, 0, 3, 3, 0, 0, 4, 1, 1, 0, 4, 3, 1, 0, 1, 2, 1, 4, 1, 4, 1, 1, 3, 1, 2, 2, 2, 3, 4, 0, 0, 4, 2, 2, 0, 1, 3, 0, 3, 4, 1, 2, 1, 4, 0, 4, 0, 2, 1, 3, 3, 2, 3, 0, 1, 2, 1, 3, 1, 1, 1, 2, 1, 3, 4, 0, 1, 2, 4, 4, 3, 4, 0, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 0, 3, 3, 3, 1, 0, 3, 0, 2, 4, 1, 2, 4, 2, 3, 4, 4, 4, 0, 3, 0, 0, 1, 3, 4, 1, 4, 1, 2, 1, 4, 3, 3, 3, 2, 2, 0, 1, 0, 3, 4, 0, 1, 2, 4, 1, 0, 4, 0, 3, 4, 4, 0, 0, 0, 1, 4, 0, 2, 0, 1, 1, 1, 3, 3, 1, 3, 1, 1, 0, 0, 2, 1, 4, 3, 4, 3, 3, 2, 1, 2, 1, 0, 4, 2, 4, 1, 4, 3, 4, 4, 0, 4, 4] pubkeycol1036 = [1, 1, 4, 4, 1, 2, 2, 0, 0, 1, 0, 3, 0, 4, 2, 2, 1, 4, 0, 0, 3, 3, 4, 4, 1, 3, 2, 0, 0, 4, 1, 0, 3, 3, 1, 3, 2, 1, 1, 2, 3, 3, 1, 4, 0, 4, 4, 3, 1, 1, 2, 4, 0, 0, 0, 3, 1, 2, 4, 1, 1, 4, 4, 2, 2, 3, 3, 4, 4, 3, 3, 1, 0, 1, 1, 1, 0, 1, 0, 3, 2, 3, 1, 3, 0, 2, 4, 3, 2, 2, 0, 4, 0, 3, 3, 1, 2, 1, 4, 4, 0, 2, 2, 2, 4, 1, 4, 1, 3, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 3, 4, 1, 2, 0, 4, 1, 4, 3, 0, 0, 3, 3, 3, 2, 2, 3, 1, 1, 3, 2, 3, 2, 0, 3, 4, 2, 1, 2, 4, 3, 0, 2, 1, 3, 3, 0, 0, 2, 3, 1, 2, 4, 2, 4, 3, 1, 4, 4, 3, 3, 4, 2, 0, 1, 0, 0, 3, 3, 4, 1, 4, 0, 2, 0, 0, 1, 3, 1, 4, 1, 3, 3, 4, 4, 4, 0, 0, 2, 0, 1, 0, 1, 0, 4, 2, 1, 0, 4, 3, 4, 1, 4, 0, 3, 1, 0, 2, 3, 4, 3, 0, 2, 1, 4, 1, 0, 4, 4, 0, 2, 0, 3, 1, 2, 4, 1, 3, 2, 0, 1, 1, 1, 3, 2, 1, 3, 4, 0, 0, 2, 0, 2, 1, 3, 0, 0, 2, 4, 3, 4, 0, 3, 2, 0, 2, 0, 4, 2, 4, 3, 3, 4, 0, 1, 2, 3, 2, 4, 0, 0, 1, 3, 0, 3, 2, 2, 1, 2, 1, 2, 3, 2, 3, 4, 2, 0, 0, 2, 3, 2, 0, 3, 4, 3, 0, 2, 4, 1, 1, 3, 3, 4, 0, 1, 1, 2, 0, 1, 2] pubkeycol1037 = [1, 3, 1, 0, 3, 2, 4, 1, 0, 3, 0, 0, 0, 4, 2, 1, 3, 4, 3, 2, 4, 2, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 1, 1, 4, 2, 4, 0, 0, 1, 2, 2, 1, 4, 1, 3, 3, 4, 4, 3, 2, 3, 1, 3, 4, 0, 2, 3, 2, 1, 3, 0, 2, 2, 3, 0, 0, 0, 2, 2, 1, 4, 3, 4, 1, 4, 0, 1, 0, 4, 1, 4, 1, 1, 0, 2, 4, 0, 1, 1, 2, 0, 0, 4, 1, 2, 1, 0, 1, 2, 4, 3, 0, 2, 3, 3, 4, 3, 1, 1, 4, 1, 4, 2, 2, 4, 4, 3, 1, 2, 0, 4, 2, 2, 0, 2, 3, 0, 4, 4, 0, 3, 3, 1, 3, 3, 1, 4, 1, 1, 1, 2, 1, 1, 3, 1, 4, 2, 0, 2, 4, 3, 3, 4, 4, 0, 4, 0, 2, 3, 2, 1, 0, 0, 1, 0, 4, 3, 1, 3, 1, 3, 4, 2, 1, 2, 0, 0, 3, 3, 3, 4, 2, 3, 0, 0, 1, 0, 3, 1, 3, 3, 0, 1, 0, 4, 4, 4, 1, 1, 4, 1, 4, 4, 3, 0, 2, 0, 1, 3, 1, 2, 3, 2, 4, 2, 0, 2, 2, 0, 3, 3, 1, 1, 4, 0, 0, 4, 4, 4, 0, 0, 3, 2, 1, 2, 4, 2, 2, 3, 2, 3, 4, 1, 0, 2, 0, 0, 3, 1, 1, 4, 0, 1, 3, 2, 3, 1, 0, 1, 2, 0, 3, 0, 3, 3, 3, 3, 4, 1, 0, 3, 1, 4, 4, 0, 2, 4, 0, 4, 0, 4, 0, 0, 3, 1, 3, 0, 0, 1, 1, 0, 3, 1, 2, 0, 2, 1, 3, 2, 0, 2, 3, 1, 3, 2, 2, 2, 0, 1, 0, 1, 4, 1, 2, 3, 3, 1, 2, 0] pubkeycol1038 = [2, 4, 2, 1, 0, 1, 0, 1, 4, 0, 1, 4, 2, 3, 4, 1, 4, 0, 3, 4, 1, 3, 1, 1, 3, 3, 4, 3, 2, 3, 1, 2, 3, 1, 2, 4, 0, 3, 4, 2, 3, 2, 2, 4, 2, 3, 0, 0, 0, 4, 1, 1, 4, 2, 2, 4, 0, 4, 0, 3, 1, 0, 4, 4, 4, 2, 1, 0, 4, 2, 4, 3, 1, 3, 2, 1, 1, 1, 4, 3, 4, 1, 1, 2, 2, 2, 1, 0, 4, 3, 4, 2, 2, 4, 4, 0, 0, 3, 0, 4, 0, 2, 0, 4, 0, 4, 0, 0, 0, 0, 1, 1, 2, 3, 4, 0, 4, 1, 0, 1, 0, 2, 4, 4, 1, 0, 3, 2, 4, 4, 2, 2, 0, 3, 0, 2, 0, 1, 3, 0, 3, 0, 2, 0, 3, 3, 1, 1, 3, 2, 4, 2, 3, 3, 3, 0, 3, 4, 1, 1, 1, 4, 4, 3, 4, 2, 3, 4, 2, 2, 1, 4, 2, 0, 4, 1, 0, 3, 1, 2, 4, 4, 4, 0, 3, 2, 2, 4, 3, 4, 2, 0, 1, 1, 3, 0, 1, 3, 0, 4, 3, 3, 3, 4, 4, 1, 0, 0, 3, 0, 4, 0, 4, 3, 0, 3, 2, 3, 0, 0, 0, 2, 4, 2, 2, 1, 3, 4, 3, 0, 0, 4, 3, 0, 0, 0, 3, 2, 4, 0, 4, 3, 0, 2, 4, 4, 2, 2, 2, 3, 2, 3, 2, 4, 3, 3, 3, 1, 1, 0, 0, 3, 0, 2, 3, 4, 4, 0, 4, 1, 0, 3, 0, 4, 4, 4, 2, 3, 0, 4, 3, 0, 1, 1, 0, 2, 4, 0, 4, 4, 3, 2, 2, 2, 0, 4, 1, 2, 4, 4, 1, 4, 1, 1, 1, 2, 2, 4, 0, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 1] pubkeycol1039 = [3, 0, 1, 2, 2, 3, 0, 2, 4, 0, 2, 2, 4, 0, 4, 2, 4, 2, 1, 4, 0, 3, 1, 1, 0, 1, 3, 3, 2, 4, 4, 3, 4, 3, 2, 3, 1, 1, 4, 1, 0, 2, 1, 2, 1, 0, 2, 2, 3, 3, 2, 1, 3, 4, 4, 1, 1, 2, 2, 2, 4, 1, 1, 1, 0, 4, 2, 1, 4, 3, 1, 3, 0, 1, 4, 3, 2, 4, 1, 4, 0, 1, 1, 1, 3, 1, 2, 3, 3, 4, 0, 2, 3, 3, 0, 0, 0, 1, 4, 0, 3, 3, 1, 3, 0, 3, 4, 3, 0, 3, 2, 4, 4, 3, 3, 1, 1, 2, 4, 4, 3, 1, 2, 4, 1, 3, 2, 4, 1, 2, 3, 1, 3, 2, 4, 0, 2, 0, 4, 1, 2, 3, 0, 1, 2, 0, 0, 0, 4, 0, 2, 0, 0, 0, 3, 1, 2, 2, 1, 2, 1, 3, 0, 4, 3, 4, 1, 3, 4, 4, 1, 2, 0, 2, 3, 0, 1, 2, 1, 3, 4, 2, 1, 1, 0, 2, 2, 0, 2, 3, 3, 3, 3, 2, 2, 4, 0, 3, 2, 1, 2, 3, 0, 2, 2, 1, 1, 3, 3, 4, 1, 1, 3, 3, 0, 1, 2, 4, 0, 4, 3, 3, 1, 2, 0, 4, 3, 0, 4, 2, 0, 0, 2, 4, 0, 0, 3, 4, 3, 4, 1, 4, 4, 3, 0, 3, 0, 2, 0, 3, 3, 3, 2, 4, 4, 0, 1, 4, 3, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 1, 4, 0, 2, 2, 4, 4, 4, 4, 1, 2, 3, 2, 1, 2, 0, 2, 3, 3, 0, 0, 4, 1, 0, 1, 0, 1, 1, 3, 3, 1, 1, 3, 1, 0, 3, 0, 1, 4, 4, 0, 3, 2, 0, 3, 4, 3, 4, 2] pubkeycol1040 = [4, 3, 1, 4, 4, 3, 0, 1, 3, 2, 3, 1, 1, 4, 1, 1, 4, 0, 1, 3, 0, 0, 1, 0, 1, 4, 3, 1, 2, 3, 0, 2, 1, 1, 3, 2, 4, 3, 2, 2, 1, 2, 0, 4, 2, 1, 4, 0, 2, 1, 1, 3, 2, 2, 4, 4, 1, 2, 2, 1, 2, 3, 1, 4, 4, 0, 1, 3, 0, 1, 3, 2, 2, 0, 4, 0, 0, 4, 1, 3, 1, 1, 3, 0, 1, 3, 3, 2, 2, 0, 4, 2, 0, 2, 1, 3, 4, 0, 0, 4, 2, 0, 3, 1, 3, 3, 3, 3, 3, 1, 2, 1, 3, 0, 4, 1, 1, 2, 4, 1, 3, 0, 0, 4, 1, 2, 0, 4, 2, 1, 0, 2, 1, 3, 2, 1, 2, 3, 4, 2, 3, 4, 2, 0, 2, 0, 1, 4, 2, 1, 4, 2, 0, 0, 0, 0, 1, 4, 3, 4, 2, 2, 2, 0, 4, 4, 1, 4, 4, 2, 4, 1, 2, 1, 0, 4, 0, 4, 4, 1, 2, 1, 4, 2, 3, 0, 1, 0, 1, 3, 1, 2, 0, 0, 3, 0, 0, 4, 1, 3, 0, 4, 3, 0, 0, 4, 0, 3, 3, 1, 0, 2, 4, 1, 2, 2, 3, 2, 4, 0, 2, 2, 0, 0, 3, 1, 1, 2, 3, 0, 3, 4, 0, 0, 4, 3, 0, 4, 2, 0, 0, 0, 4, 4, 4, 2, 2, 0, 2, 2, 4, 2, 3, 4, 4, 0, 4, 4, 1, 0, 3, 4, 2, 3, 4, 1, 4, 0, 0, 2, 0, 0, 3, 4, 4, 1, 0, 1, 2, 4, 3, 1, 4, 1, 3, 1, 0, 4, 2, 4, 3, 1, 4, 2, 1, 4, 4, 2, 4, 2, 2, 2, 0, 2, 0, 3, 3, 0, 4, 0, 2, 3, 2, 0, 4, 3, 3, 2, 2, 3] pubkeycol1041 = [1, 1, 1, 0, 4, 3, 0, 1, 3, 4, 0, 0, 2, 4, 0, 2, 4, 4, 0, 1, 2, 3, 2, 0, 4, 2, 2, 3, 1, 1, 3, 3, 1, 2, 4, 3, 1, 2, 1, 4, 3, 2, 4, 2, 4, 3, 2, 4, 0, 4, 3, 3, 1, 2, 1, 1, 1, 2, 2, 3, 1, 1, 2, 2, 4, 4, 4, 2, 1, 2, 4, 3, 4, 3, 4, 0, 4, 0, 2, 4, 0, 0, 4, 2, 2, 4, 1, 0, 1, 1, 2, 3, 2, 0, 2, 3, 2, 0, 4, 1, 4, 4, 4, 4, 2, 0, 3, 4, 1, 3, 0, 4, 1, 0, 1, 4, 0, 3, 4, 2, 0, 2, 1, 1, 4, 3, 0, 1, 0, 3, 4, 1, 4, 0, 0, 1, 0, 2, 1, 1, 2, 1, 4, 3, 4, 2, 4, 1, 4, 3, 3, 4, 3, 3, 4, 2, 1, 3, 1, 1, 0, 1, 1, 1, 3, 4, 1, 1, 3, 1, 4, 2, 0, 4, 2, 2, 4, 2, 3, 3, 4, 2, 2, 4, 3, 1, 0, 3, 1, 4, 1, 2, 2, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 1, 1, 4, 4, 3, 2, 3, 2, 2, 4, 3, 0, 4, 3, 1, 1, 4, 1, 4, 3, 2, 3, 1, 0, 4, 1, 2, 0, 2, 3, 2, 3, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 3, 2, 3, 4, 4, 2, 2, 2, 1, 2, 1, 0, 3, 4, 1, 2, 2, 0, 2, 4, 3, 2, 2, 1, 2, 0, 2, 0, 1, 4, 0, 3, 2, 0, 3, 2, 4, 2, 2, 1, 4, 4, 0, 4, 1, 1, 2, 2, 4, 1, 0, 0, 3, 3, 3, 4, 3, 2, 4, 3, 1, 3, 0, 4, 3, 4, 0, 2, 0, 3, 4, 4, 3, 4] pubkeycol1042 = [0, 3, 2, 2, 2, 2, 4, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 4, 2, 1, 1, 3, 3, 2, 0, 4, 2, 1, 2, 0, 2, 0, 4, 3, 4, 3, 4, 3, 1, 3, 3, 0, 4, 4, 1, 0, 0, 2, 1, 0, 3, 0, 3, 4, 1, 4, 2, 4, 3, 1, 2, 2, 2, 3, 3, 1, 3, 3, 1, 4, 0, 3, 2, 1, 4, 3, 4, 2, 1, 3, 4, 3, 4, 2, 0, 3, 4, 2, 4, 0, 2, 4, 0, 4, 4, 4, 3, 0, 0, 3, 2, 4, 4, 1, 2, 1, 2, 2, 3, 0, 0, 3, 1, 4, 1, 0, 3, 1, 4, 3, 0, 1, 4, 1, 1, 0, 1, 4, 0, 1, 0, 3, 1, 0, 0, 2, 4, 4, 4, 1, 4, 4, 0, 4, 1, 4, 1, 3, 3, 0, 4, 2, 3, 1, 0, 2, 2, 0, 4, 1, 1, 3, 0, 1, 0, 2, 1, 0, 4, 1, 1, 0, 3, 2, 3, 3, 4, 1, 1, 3, 1, 0, 2, 4, 2, 1, 4, 0, 3, 3, 3, 2, 1, 1, 1, 2, 2, 4, 4, 3, 3, 0, 3, 1, 0, 2, 4, 0, 2, 1, 0, 0, 3, 4, 2, 3, 2, 1, 1, 2, 4, 3, 4, 1, 4, 1, 3, 4, 2, 1, 3, 0, 0, 0, 1, 2, 0, 0, 1, 3, 4, 4, 3, 1, 1, 3, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 1, 2, 4, 4, 3, 0, 2, 4, 2, 0, 4, 1, 2, 2, 3, 1, 1, 4, 3, 3, 3, 3, 4, 0, 2, 4, 3, 2, 2, 4, 1, 0, 3, 4, 2, 2, 3, 2, 1, 1, 1, 3, 0, 0, 3, 4, 0, 0, 1, 0, 0, 4, 4, 2, 4, 1, 4, 1, 1, 1, 2, 4] pubkeycol1043 = [2, 2, 1, 1, 1, 4, 1, 2, 2, 0, 0, 1, 4, 2, 3, 4, 0, 4, 0, 2, 1, 3, 4, 2, 1, 4, 2, 2, 2, 0, 4, 0, 3, 3, 0, 0, 2, 0, 0, 2, 1, 3, 1, 0, 1, 1, 3, 2, 4, 3, 1, 3, 4, 1, 1, 2, 3, 1, 0, 2, 0, 2, 0, 3, 2, 3, 2, 3, 1, 4, 3, 0, 3, 0, 0, 3, 3, 0, 0, 2, 1, 3, 3, 0, 3, 1, 0, 0, 1, 2, 1, 2, 4, 2, 1, 2, 2, 1, 3, 4, 2, 3, 3, 0, 0, 3, 3, 4, 2, 4, 2, 4, 1, 2, 0, 2, 4, 4, 0, 2, 2, 0, 3, 1, 3, 4, 4, 2, 2, 2, 1, 2, 3, 2, 3, 4, 1, 3, 3, 3, 2, 0, 1, 2, 0, 1, 1, 1, 4, 0, 4, 4, 2, 0, 3, 4, 2, 2, 2, 3, 4, 2, 2, 4, 0, 2, 2, 0, 3, 2, 0, 2, 2, 1, 4, 1, 0, 3, 3, 1, 0, 1, 2, 3, 2, 1, 1, 2, 4, 1, 3, 3, 2, 1, 0, 3, 3, 3, 0, 3, 1, 2, 4, 0, 2, 0, 3, 3, 1, 4, 1, 2, 0, 2, 4, 0, 4, 4, 1, 1, 3, 1, 1, 2, 2, 2, 4, 4, 1, 4, 4, 0, 2, 0, 0, 2, 3, 4, 0, 4, 1, 1, 0, 0, 4, 2, 2, 3, 1, 4, 1, 3, 0, 1, 4, 1, 4, 4, 1, 3, 1, 4, 4, 2, 0, 2, 3, 0, 1, 3, 1, 0, 3, 4, 2, 4, 3, 2, 0, 0, 0, 3, 0, 3, 4, 0, 4, 3, 4, 1, 1, 3, 4, 2, 4, 0, 0, 1, 4, 3, 4, 4, 2, 3, 2, 2, 3, 3, 2, 4, 4, 2, 3, 1, 3, 4, 2, 0, 1, 3] pubkeycol1044 = [0, 1, 3, 3, 0, 0, 0, 4, 1, 0, 3, 2, 3, 1, 3, 4, 3, 0, 3, 4, 3, 2, 2, 1, 2, 2, 3, 0, 3, 3, 0, 3, 1, 0, 2, 2, 4, 2, 4, 1, 3, 3, 4, 2, 0, 4, 0, 3, 2, 2, 2, 0, 0, 3, 2, 4, 2, 3, 3, 4, 1, 4, 0, 2, 4, 0, 3, 1, 1, 3, 0, 2, 4, 1, 4, 4, 3, 1, 1, 3, 0, 3, 4, 0, 3, 2, 0, 3, 1, 2, 2, 2, 0, 3, 3, 0, 3, 1, 1, 2, 2, 1, 1, 4, 2, 0, 1, 0, 4, 4, 4, 1, 1, 2, 2, 0, 0, 4, 0, 4, 4, 0, 3, 4, 4, 0, 3, 1, 1, 2, 4, 2, 1, 0, 1, 1, 0, 0, 4, 2, 1, 0, 3, 2, 4, 2, 3, 0, 2, 2, 0, 0, 4, 0, 1, 1, 1, 1, 3, 4, 2, 1, 0, 3, 2, 4, 1, 1, 3, 2, 3, 0, 0, 2, 0, 2, 4, 2, 4, 3, 4, 1, 1, 4, 1, 0, 2, 2, 0, 4, 3, 0, 4, 2, 4, 3, 2, 2, 1, 3, 3, 1, 3, 2, 2, 4, 4, 2, 1, 2, 1, 4, 0, 3, 3, 4, 1, 4, 4, 1, 1, 2, 3, 1, 3, 2, 0, 4, 3, 1, 4, 4, 4, 2, 1, 3, 4, 1, 0, 4, 3, 0, 0, 3, 3, 0, 1, 2, 3, 1, 2, 3, 2, 2, 3, 2, 2, 1, 3, 4, 3, 2, 1, 4, 0, 2, 3, 4, 0, 4, 3, 4, 3, 3, 2, 3, 0, 3, 3, 0, 2, 0, 0, 0, 2, 1, 4, 0, 1, 3, 2, 4, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 3, 1, 3, 2, 2, 1, 2, 0, 4, 4, 0, 0, 0, 3, 1, 0, 2, 2] pubkeycol1045 = [1, 1, 2, 1, 1, 3, 0, 4, 2, 2, 4, 4, 4, 1, 4, 2, 4, 1, 2, 3, 4, 3, 4, 4, 4, 3, 4, 4, 0, 0, 2, 0, 0, 3, 4, 3, 4, 4, 1, 4, 1, 3, 2, 1, 2, 1, 1, 4, 4, 0, 2, 3, 2, 2, 4, 0, 2, 1, 3, 3, 2, 3, 3, 3, 1, 1, 1, 3, 3, 0, 0, 3, 2, 1, 0, 3, 2, 0, 0, 4, 1, 2, 3, 2, 1, 0, 1, 0, 0, 1, 1, 4, 4, 4, 0, 4, 3, 2, 3, 4, 3, 2, 2, 2, 1, 4, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 3, 4, 4, 4, 2, 4, 1, 1, 2, 1, 4, 0, 0, 0, 3, 3, 1, 3, 0, 1, 1, 1, 2, 0, 3, 4, 4, 3, 4, 1, 4, 1, 0, 1, 0, 1, 2, 3, 2, 4, 4, 1, 4, 4, 4, 4, 1, 1, 3, 1, 0, 3, 4, 2, 4, 2, 2, 3, 0, 2, 3, 3, 2, 2, 4, 4, 0, 3, 3, 1, 4, 3, 3, 3, 0, 4, 0, 1, 3, 1, 1, 0, 2, 4, 3, 3, 4, 0, 3, 3, 4, 4, 2, 0, 1, 3, 4, 0, 4, 4, 1, 0, 4, 0, 3, 4, 3, 1, 3, 0, 3, 2, 2, 2, 3, 3, 0, 4, 3, 1, 3, 1, 0, 1, 1, 0, 4, 2, 3, 3, 0, 4, 0, 3, 4, 0, 2, 2, 4, 2, 2, 1, 2, 4, 4, 0, 4, 3, 4, 4, 2, 4, 0, 0, 0, 4, 0, 1, 1, 0, 2, 2, 4, 1, 2, 4, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 3, 0, 4, 1, 0, 3, 2, 3, 3, 0, 4, 3, 4, 2, 2, 4, 1, 0, 0, 1, 1, 2, 3, 1, 3, 0, 2, 0] pubkeycol1046 = [1, 0, 1, 0, 1, 4, 0, 3, 4, 3, 3, 3, 3, 1, 3, 0, 4, 3, 0, 0, 2, 2, 4, 4, 4, 3, 2, 1, 0, 1, 0, 0, 3, 0, 0, 1, 4, 3, 3, 2, 0, 0, 2, 3, 4, 2, 2, 4, 1, 1, 3, 1, 3, 2, 0, 4, 2, 0, 0, 3, 4, 4, 2, 4, 1, 0, 1, 1, 1, 3, 3, 4, 2, 3, 4, 4, 2, 0, 4, 4, 1, 3, 1, 1, 2, 2, 2, 1, 4, 2, 2, 0, 4, 4, 3, 3, 2, 3, 3, 4, 1, 1, 1, 2, 3, 0, 3, 0, 3, 2, 0, 3, 0, 3, 2, 3, 0, 1, 3, 0, 2, 4, 2, 1, 2, 3, 2, 1, 2, 2, 4, 3, 0, 2, 4, 2, 2, 3, 1, 2, 2, 3, 3, 1, 0, 1, 2, 0, 3, 0, 1, 2, 4, 1, 0, 4, 3, 1, 1, 4, 1, 2, 3, 3, 4, 1, 0, 3, 4, 3, 3, 0, 4, 3, 4, 2, 1, 4, 1, 4, 3, 2, 4, 1, 4, 1, 0, 2, 2, 2, 4, 3, 1, 3, 2, 2, 3, 4, 3, 0, 2, 0, 4, 3, 1, 3, 3, 2, 1, 1, 2, 4, 0, 3, 1, 2, 0, 2, 3, 4, 3, 1, 2, 1, 1, 2, 2, 0, 0, 4, 3, 3, 1, 0, 1, 4, 2, 3, 2, 4, 1, 0, 4, 1, 2, 2, 2, 2, 0, 0, 1, 2, 4, 3, 1, 1, 4, 4, 3, 2, 4, 3, 0, 2, 1, 2, 0, 3, 0, 0, 1, 3, 0, 4, 1, 3, 0, 3, 0, 4, 1, 2, 0, 3, 0, 4, 0, 4, 2, 0, 3, 2, 4, 1, 2, 4, 3, 0, 2, 1, 0, 2, 1, 3, 4, 2, 3, 1, 0, 4, 1, 1, 3, 0, 2, 1, 3, 4, 3, 1] pubkeycol1047 = [4, 3, 3, 4, 3, 3, 3, 2, 1, 0, 2, 2, 1, 4, 2, 2, 2, 1, 1, 3, 2, 2, 3, 2, 1, 0, 1, 2, 0, 4, 1, 1, 3, 3, 0, 0, 2, 2, 1, 2, 2, 2, 0, 4, 2, 4, 0, 4, 3, 2, 0, 4, 1, 3, 0, 0, 4, 3, 0, 3, 2, 4, 3, 4, 0, 3, 2, 4, 4, 0, 3, 4, 3, 4, 4, 2, 2, 2, 4, 3, 0, 0, 3, 3, 0, 2, 3, 3, 3, 1, 4, 3, 3, 2, 2, 3, 3, 1, 0, 1, 4, 0, 0, 1, 2, 3, 2, 0, 3, 0, 3, 3, 4, 3, 3, 3, 3, 1, 4, 3, 3, 1, 0, 2, 3, 0, 3, 2, 3, 0, 4, 2, 0, 0, 1, 4, 1, 1, 1, 0, 0, 3, 2, 1, 3, 3, 3, 4, 4, 2, 1, 2, 4, 4, 3, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 3, 4, 0, 1, 3, 2, 1, 1, 1, 1, 3, 4, 1, 0, 1, 1, 0, 3, 0, 1, 4, 1, 2, 0, 2, 1, 1, 2, 2, 3, 0, 1, 1, 4, 3, 0, 2, 0, 3, 0, 3, 4, 1, 4, 2, 1, 3, 4, 3, 1, 3, 3, 4, 0, 0, 0, 0, 4, 2, 3, 4, 2, 0, 0, 4, 1, 3, 0, 0, 2, 4, 4, 1, 3, 2, 2, 4, 4, 1, 4, 2, 3, 4, 4, 4, 2, 4, 2, 0, 0, 2, 3, 2, 3, 0, 0, 4, 2, 1, 3, 0, 4, 3, 1, 4, 4, 1, 3, 3, 4, 2, 1, 0, 0, 3, 4, 3, 0, 3, 3, 3, 4, 0, 0, 1, 4, 4, 0, 4, 2, 3, 3, 1, 1, 1, 0, 2, 3, 0, 2, 4, 1, 4, 3, 3, 2, 2, 4, 2, 1, 2, 2, 0, 3] pubkeycol1048 = [0, 2, 0, 0, 1, 2, 4, 0, 4, 2, 1, 4, 0, 2, 3, 3, 2, 3, 2, 2, 3, 3, 0, 0, 4, 2, 1, 1, 4, 2, 1, 1, 4, 4, 1, 2, 1, 2, 0, 3, 4, 3, 0, 4, 3, 4, 0, 0, 3, 0, 0, 2, 2, 3, 1, 3, 2, 3, 3, 0, 3, 4, 2, 1, 2, 4, 1, 4, 2, 3, 0, 0, 2, 0, 4, 0, 4, 2, 1, 1, 1, 1, 2, 4, 0, 2, 3, 2, 2, 0, 0, 1, 2, 2, 3, 0, 0, 2, 2, 3, 3, 0, 0, 2, 3, 2, 2, 1, 3, 1, 2, 2, 2, 3, 0, 2, 2, 3, 0, 3, 4, 3, 0, 1, 0, 2, 2, 3, 4, 3, 1, 1, 1, 1, 0, 3, 4, 2, 0, 2, 0, 1, 2, 3, 1, 1, 4, 4, 3, 1, 4, 1, 3, 3, 1, 2, 3, 4, 3, 1, 0, 0, 3, 0, 1, 4, 1, 4, 3, 3, 0, 1, 4, 2, 4, 2, 2, 3, 3, 1, 3, 2, 0, 2, 0, 3, 0, 3, 3, 1, 1, 1, 1, 1, 3, 1, 0, 2, 0, 2, 3, 4, 0, 0, 1, 4, 1, 0, 2, 2, 1, 4, 1, 0, 4, 1, 2, 3, 2, 2, 0, 3, 1, 1, 3, 4, 1, 2, 2, 0, 2, 4, 2, 1, 1, 1, 2, 3, 3, 2, 4, 2, 4, 0, 1, 3, 0, 4, 3, 4, 3, 2, 3, 0, 1, 0, 0, 4, 3, 0, 1, 1, 2, 1, 3, 4, 4, 2, 2, 1, 0, 0, 1, 2, 3, 3, 1, 2, 2, 3, 4, 3, 2, 4, 1, 2, 3, 2, 4, 4, 1, 1, 0, 1, 1, 2, 1, 4, 2, 0, 0, 1, 0, 2, 2, 1, 3, 0, 0, 1, 1, 0, 3, 2, 0, 4, 3, 2, 4, 0] pubkeycol1049 = [0, 4, 2, 2, 3, 3, 0, 0, 0, 0, 2, 4, 1, 3, 2, 0, 4, 1, 2, 3, 4, 1, 2, 1, 3, 3, 0, 2, 0, 0, 1, 2, 0, 2, 4, 0, 4, 1, 0, 1, 3, 4, 1, 3, 4, 2, 3, 3, 1, 3, 4, 3, 4, 0, 0, 1, 3, 0, 1, 4, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 4, 2, 3, 4, 3, 1, 3, 1, 2, 1, 0, 3, 2, 4, 4, 3, 3, 3, 1, 0, 4, 4, 0, 4, 1, 2, 1, 2, 1, 0, 2, 4, 2, 2, 0, 1, 3, 0, 0, 1, 2, 0, 0, 1, 3, 4, 0, 2, 2, 3, 1, 1, 3, 0, 4, 3, 1, 2, 1, 0, 2, 2, 4, 1, 1, 4, 4, 4, 3, 3, 2, 1, 2, 4, 3, 3, 4, 0, 0, 3, 4, 2, 2, 4, 4, 2, 1, 0, 1, 2, 3, 0, 2, 3, 0, 0, 2, 4, 1, 2, 1, 2, 1, 4, 2, 3, 3, 1, 2, 3, 3, 4, 0, 2, 1, 3, 1, 2, 2, 2, 4, 0, 2, 1, 1, 0, 0, 0, 4, 3, 0, 0, 0, 4, 2, 2, 4, 3, 1, 1, 3, 1, 3, 2, 3, 3, 3, 2, 2, 0, 4, 2, 2, 3, 0, 0, 3, 1, 1, 4, 2, 2, 4, 0, 4, 1, 0, 0, 0, 4, 1, 1, 3, 0, 1, 2, 4, 4, 1, 4, 0, 0, 0, 2, 3, 0, 3, 4, 0, 4, 0, 4, 1, 0, 1, 4, 4, 3, 4, 4, 4, 0, 3, 2, 3, 0, 1, 0, 1, 2, 2, 4, 0, 0, 0, 4, 4, 4, 1, 1, 1, 1, 2, 2, 1, 0, 0, 4, 3, 2, 0, 2, 4, 1, 4, 3, 0, 2, 3, 2, 0, 4, 2, 3, 1, 3, 1, 2, 1, 2] pubkeycol1050 = [2, 0, 4, 1, 0, 3, 2, 1, 1, 0, 3, 2, 0, 4, 3, 4, 4, 0, 3, 0, 3, 3, 0, 3, 4, 3, 3, 3, 3, 4, 1, 0, 1, 2, 3, 3, 1, 4, 4, 2, 3, 3, 4, 4, 1, 0, 3, 3, 2, 4, 0, 3, 2, 2, 3, 0, 3, 3, 4, 2, 2, 4, 0, 2, 0, 0, 2, 3, 0, 0, 0, 4, 3, 1, 2, 1, 0, 3, 2, 0, 1, 0, 4, 1, 2, 4, 4, 1, 4, 0, 2, 1, 0, 3, 3, 2, 4, 4, 1, 1, 2, 0, 2, 2, 4, 3, 3, 0, 3, 2, 4, 2, 2, 2, 3, 0, 3, 4, 4, 1, 2, 0, 0, 2, 1, 4, 4, 1, 1, 1, 4, 1, 1, 3, 4, 1, 4, 1, 4, 3, 4, 4, 1, 2, 2, 4, 0, 1, 2, 0, 3, 2, 1, 0, 1, 4, 3, 0, 4, 1, 2, 4, 0, 0, 4, 4, 4, 0, 0, 2, 0, 4, 4, 0, 3, 1, 4, 2, 1, 3, 2, 2, 2, 0, 3, 3, 1, 0, 2, 4, 4, 3, 2, 2, 0, 0, 2, 3, 1, 0, 3, 0, 2, 1, 0, 3, 3, 4, 4, 2, 1, 3, 2, 1, 1, 4, 1, 4, 3, 2, 0, 1, 1, 2, 0, 1, 2, 2, 3, 3, 4, 2, 1, 0, 1, 1, 1, 3, 3, 4, 1, 0, 1, 0, 4, 0, 4, 2, 1, 0, 4, 3, 2, 2, 2, 3, 1, 1, 1, 0, 0, 2, 0, 2, 4, 1, 3, 1, 1, 2, 3, 2, 4, 1, 3, 2, 1, 3, 4, 4, 0, 4, 3, 3, 2, 1, 0, 2, 2, 3, 3, 0, 0, 3, 0, 3, 0, 4, 4, 4, 0, 0, 2, 2, 1, 2, 1, 3, 2, 0, 1, 2, 2, 2, 0, 1, 4, 0, 0, 0] pubkeycol1051 = [3, 3, 3, 2, 2, 2, 0, 4, 3, 1, 3, 0, 3, 0, 4, 4, 0, 2, 3, 4, 4, 2, 3, 1, 0, 0, 0, 2, 4, 1, 4, 0, 3, 2, 2, 0, 1, 4, 4, 4, 3, 1, 2, 4, 3, 0, 1, 4, 2, 4, 1, 2, 0, 1, 4, 2, 2, 2, 1, 3, 0, 0, 4, 4, 1, 4, 0, 3, 0, 1, 2, 4, 4, 0, 3, 0, 1, 3, 0, 2, 2, 2, 4, 4, 4, 1, 4, 4, 4, 3, 1, 3, 2, 3, 4, 2, 1, 3, 4, 2, 4, 4, 2, 4, 4, 0, 0, 3, 2, 0, 4, 1, 0, 1, 1, 1, 0, 2, 2, 4, 0, 1, 4, 4, 4, 3, 0, 4, 3, 0, 1, 4, 2, 4, 1, 3, 1, 1, 0, 4, 0, 2, 0, 2, 3, 1, 1, 3, 3, 2, 0, 1, 0, 2, 4, 0, 0, 4, 1, 0, 4, 0, 1, 3, 3, 3, 3, 0, 2, 0, 1, 1, 4, 4, 4, 0, 4, 4, 0, 3, 0, 1, 0, 1, 2, 3, 1, 1, 3, 0, 0, 4, 0, 2, 1, 0, 0, 3, 4, 3, 4, 2, 2, 2, 2, 3, 2, 3, 3, 2, 0, 4, 2, 0, 2, 1, 2, 0, 1, 4, 1, 3, 4, 4, 1, 2, 2, 2, 0, 0, 1, 1, 0, 3, 1, 2, 3, 2, 2, 4, 4, 3, 3, 3, 2, 2, 4, 0, 3, 3, 2, 1, 4, 2, 3, 2, 4, 0, 0, 1, 4, 4, 4, 4, 3, 4, 0, 1, 1, 4, 0, 3, 2, 2, 3, 4, 2, 3, 3, 1, 4, 2, 3, 0, 1, 4, 2, 2, 2, 3, 2, 1, 2, 1, 2, 3, 2, 0, 3, 0, 3, 2, 2, 1, 1, 1, 3, 3, 2, 0, 4, 0, 1, 1, 4, 1, 1, 2, 2, 3] pubkeycol1052 = [3, 2, 4, 3, 2, 3, 4, 2, 0, 4, 2, 1, 3, 2, 3, 0, 3, 1, 4, 2, 1, 0, 2, 4, 2, 3, 2, 3, 0, 1, 0, 0, 2, 2, 0, 3, 4, 3, 0, 3, 3, 2, 3, 3, 3, 2, 3, 1, 2, 3, 0, 3, 4, 4, 0, 0, 4, 2, 1, 3, 2, 1, 1, 3, 4, 3, 2, 2, 0, 3, 0, 1, 0, 3, 2, 0, 1, 1, 2, 3, 0, 4, 4, 3, 4, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 3, 2, 1, 0, 0, 3, 3, 4, 0, 0, 4, 1, 1, 3, 0, 2, 3, 3, 4, 2, 4, 1, 0, 4, 4, 2, 3, 4, 4, 3, 2, 0, 2, 4, 4, 1, 4, 1, 0, 0, 1, 0, 1, 4, 0, 0, 1, 1, 1, 3, 1, 3, 2, 2, 1, 1, 1, 3, 0, 3, 3, 0, 0, 2, 2, 3, 1, 3, 3, 3, 0, 2, 3, 4, 0, 1, 0, 3, 1, 1, 1, 3, 1, 1, 2, 0, 2, 3, 1, 4, 0, 1, 2, 0, 4, 1, 4, 2, 2, 3, 1, 2, 2, 0, 0, 4, 3, 3, 4, 2, 4, 1, 4, 2, 2, 0, 3, 1, 3, 1, 0, 2, 3, 3, 0, 2, 4, 3, 1, 4, 4, 1, 3, 4, 3, 1, 0, 2, 2, 1, 4, 1, 0, 2, 4, 1, 3, 4, 0, 2, 4, 2, 0, 4, 1, 1, 0, 1, 2, 0, 4, 0, 3, 4, 3, 3, 1, 3, 4, 3, 4, 1, 2, 0, 3, 3, 3, 3, 0, 2, 1, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 3, 4, 0, 1, 4, 2, 0, 1, 0, 2, 2, 3, 1, 2, 2, 4, 4, 4, 3, 2, 4, 4, 0, 4, 2, 0, 1, 1, 4, 4, 2] pubkeycol1053 = [2, 4, 1, 2, 4, 3, 2, 4, 4, 1, 2, 1, 0, 2, 1, 4, 3, 4, 0, 2, 1, 2, 1, 4, 4, 2, 4, 4, 2, 1, 3, 4, 2, 2, 4, 4, 3, 2, 0, 0, 3, 2, 2, 3, 2, 3, 3, 0, 1, 1, 3, 0, 1, 4, 3, 2, 4, 0, 2, 0, 0, 3, 4, 4, 4, 2, 3, 0, 1, 3, 0, 1, 1, 3, 0, 0, 2, 2, 4, 4, 1, 1, 2, 4, 4, 1, 1, 4, 0, 2, 1, 0, 3, 0, 0, 3, 1, 0, 4, 2, 2, 3, 4, 2, 4, 2, 3, 3, 2, 0, 1, 3, 0, 2, 4, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 4, 1, 2, 3, 0, 1, 3, 2, 0, 0, 0, 3, 3, 4, 1, 3, 0, 1, 2, 0, 3, 2, 2, 1, 1, 4, 0, 0, 3, 1, 4, 4, 0, 0, 0, 2, 3, 2, 4, 4, 3, 1, 3, 4, 3, 4, 4, 3, 0, 3, 3, 0, 3, 2, 1, 0, 1, 0, 4, 2, 4, 0, 2, 2, 2, 4, 4, 4, 3, 1, 2, 1, 3, 2, 1, 2, 1, 2, 3, 3, 4, 0, 1, 4, 2, 0, 1, 4, 3, 4, 1, 3, 2, 1, 3, 3, 2, 2, 1, 2, 1, 0, 0, 1, 2, 3, 0, 3, 1, 4, 4, 3, 4, 1, 3, 0, 2, 3, 2, 2, 3, 0, 1, 2, 0, 0, 4, 3, 4, 2, 3, 1, 1, 0, 1, 3, 3, 2, 4, 3, 1, 0, 2, 4, 0, 0, 4, 4, 2, 4, 3, 0, 3, 0, 1, 2, 4, 2, 0, 0, 0, 4, 2, 4, 1, 2, 1, 4, 2, 4, 3, 4, 2, 2, 4, 2, 3, 3, 2, 2, 0, 4, 1, 0, 2, 4, 2, 0, 0, 2, 1, 1, 1, 3] pubkeycol1054 = [1, 2, 2, 4, 1, 4, 4, 1, 1, 3, 4, 0, 3, 1, 1, 1, 1, 0, 0, 0, 1, 2, 4, 3, 2, 0, 3, 3, 2, 3, 4, 3, 1, 4, 3, 0, 4, 3, 0, 0, 4, 0, 3, 4, 3, 2, 1, 3, 0, 0, 3, 1, 2, 1, 3, 0, 1, 4, 4, 2, 3, 3, 2, 3, 2, 3, 0, 1, 0, 3, 3, 0, 4, 1, 2, 3, 1, 1, 1, 0, 0, 1, 0, 4, 2, 2, 1, 2, 2, 0, 3, 1, 2, 0, 1, 4, 3, 1, 3, 0, 4, 4, 4, 4, 2, 1, 1, 4, 0, 1, 4, 4, 2, 4, 0, 3, 1, 1, 2, 1, 3, 4, 0, 1, 0, 2, 4, 2, 4, 2, 0, 2, 2, 0, 4, 1, 0, 4, 1, 3, 0, 2, 3, 0, 0, 1, 0, 3, 4, 2, 4, 1, 4, 1, 2, 1, 2, 4, 1, 3, 0, 2, 4, 4, 2, 1, 0, 3, 0, 3, 3, 4, 1, 1, 4, 3, 0, 3, 3, 2, 0, 2, 2, 2, 3, 3, 2, 4, 0, 2, 2, 1, 3, 3, 0, 2, 4, 4, 3, 4, 0, 0, 3, 3, 3, 4, 4, 0, 4, 4, 3, 4, 1, 1, 3, 3, 3, 4, 3, 0, 4, 0, 4, 4, 1, 2, 0, 1, 0, 1, 3, 3, 3, 2, 3, 0, 1, 3, 3, 4, 3, 3, 1, 4, 3, 3, 0, 0, 4, 3, 1, 0, 1, 4, 1, 1, 3, 0, 1, 4, 1, 0, 1, 1, 3, 2, 3, 4, 1, 0, 2, 3, 4, 3, 0, 1, 2, 2, 2, 2, 1, 3, 0, 3, 2, 4, 2, 1, 4, 3, 2, 0, 0, 2, 3, 3, 0, 0, 3, 3, 3, 4, 0, 1, 1, 0, 3, 3, 4, 2, 1, 1, 0, 0, 1, 1, 4, 3, 1, 2] pubkeycol1055 = [1, 3, 2, 0, 2, 3, 3, 2, 4, 4, 4, 0, 3, 2, 1, 1, 4, 1, 3, 3, 4, 0, 2, 2, 4, 0, 4, 4, 2, 2, 0, 4, 4, 1, 0, 2, 2, 4, 4, 4, 2, 3, 1, 3, 2, 1, 2, 1, 3, 3, 3, 0, 3, 4, 0, 2, 2, 4, 0, 4, 1, 3, 0, 3, 4, 4, 3, 0, 1, 2, 4, 3, 0, 4, 1, 1, 3, 1, 3, 2, 2, 3, 2, 3, 4, 4, 4, 0, 3, 3, 4, 2, 3, 4, 4, 2, 4, 1, 1, 4, 2, 4, 3, 1, 3, 0, 1, 4, 1, 0, 3, 2, 2, 3, 1, 2, 4, 2, 3, 2, 4, 2, 1, 1, 3, 1, 0, 4, 3, 2, 0, 4, 3, 1, 3, 0, 3, 3, 4, 3, 2, 1, 0, 4, 2, 2, 3, 2, 2, 1, 4, 0, 0, 2, 4, 1, 2, 3, 0, 2, 1, 1, 1, 4, 3, 1, 4, 0, 3, 3, 0, 3, 3, 4, 2, 3, 1, 1, 1, 0, 1, 4, 4, 1, 4, 3, 0, 4, 4, 1, 4, 3, 4, 0, 3, 0, 1, 4, 2, 3, 1, 4, 3, 4, 4, 2, 4, 0, 0, 4, 4, 3, 3, 3, 0, 3, 4, 1, 1, 1, 4, 2, 0, 3, 4, 0, 4, 1, 0, 3, 1, 0, 3, 3, 1, 4, 2, 4, 1, 3, 4, 1, 3, 1, 3, 2, 3, 2, 3, 3, 4, 1, 4, 4, 4, 3, 2, 0, 2, 0, 2, 4, 2, 0, 2, 3, 4, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 2, 0, 2, 2, 3, 2, 1, 4, 4, 0, 4, 3, 2, 4, 2, 3, 4, 2, 3, 4, 0, 2, 3, 0, 2, 0, 0, 1, 4, 2, 4, 3, 2, 3, 3, 1, 4, 3, 1, 1, 3, 0, 3] pubkeycol1056 = [2, 2, 0, 1, 1, 3, 4, 0, 1, 1, 4, 2, 0, 4, 4, 3, 1, 1, 3, 4, 3, 2, 2, 2, 4, 2, 3, 4, 3, 2, 0, 1, 0, 0, 0, 1, 2, 4, 3, 2, 4, 0, 2, 3, 4, 4, 1, 3, 2, 1, 4, 2, 2, 2, 0, 3, 3, 2, 4, 1, 2, 2, 4, 4, 2, 2, 3, 2, 2, 0, 2, 2, 0, 2, 2, 0, 4, 4, 4, 4, 1, 1, 0, 2, 2, 4, 3, 2, 4, 0, 1, 3, 1, 4, 1, 1, 1, 2, 4, 3, 3, 0, 0, 1, 1, 2, 2, 2, 3, 1, 2, 0, 1, 3, 2, 4, 1, 2, 4, 0, 2, 2, 2, 0, 2, 3, 0, 2, 1, 4, 2, 4, 3, 0, 4, 2, 4, 3, 2, 2, 3, 3, 4, 0, 3, 4, 2, 3, 2, 3, 1, 3, 3, 2, 1, 3, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 2, 4, 3, 2, 4, 2, 0, 4, 2, 2, 1, 4, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 4, 3, 2, 3, 2, 3, 4, 4, 3, 1, 0, 4, 2, 4, 3, 1, 2, 3, 3, 3, 3, 4, 4, 4, 2, 3, 3, 2, 0, 4, 1, 1, 2, 1, 3, 0, 3, 1, 4, 1, 3, 2, 4, 4, 2, 2, 4, 0, 4, 3, 3, 2, 3, 4, 1, 2, 2, 4, 4, 1, 3, 0, 3, 2, 2, 1, 4, 3, 1, 2, 1, 0, 4, 0, 1, 0, 0, 3, 1, 3, 4, 0, 4, 2, 0, 0, 4, 3, 4, 2, 3, 4, 0, 4, 1, 3, 3, 1, 4, 3, 2, 2, 0, 0, 4, 3, 3, 1, 4, 0, 0, 2, 2, 0, 0, 4, 0, 0, 0, 4, 0, 3, 2, 1, 4, 2, 1, 2] pubkeycol1057 = [0, 1, 4, 1, 3, 4, 0, 3, 4, 1, 2, 2, 3, 2, 3, 0, 3, 2, 4, 1, 4, 3, 4, 1, 2, 4, 4, 0, 2, 3, 0, 0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 4, 3, 4, 3, 3, 3, 2, 1, 4, 3, 4, 2, 1, 4, 0, 3, 0, 2, 2, 0, 2, 0, 3, 3, 1, 4, 1, 4, 3, 1, 3, 4, 0, 3, 0, 3, 0, 0, 3, 0, 2, 4, 3, 0, 0, 3, 4, 3, 4, 0, 2, 4, 3, 1, 2, 3, 0, 0, 2, 1, 2, 1, 3, 2, 3, 2, 0, 3, 3, 3, 3, 4, 0, 1, 1, 4, 3, 3, 3, 0, 3, 3, 1, 0, 2, 3, 1, 2, 2, 0, 2, 2, 0, 1, 3, 4, 3, 3, 0, 1, 4, 3, 3, 4, 0, 0, 1, 0, 2, 0, 4, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 3, 4, 0, 3, 1, 4, 4, 2, 1, 4, 2, 1, 2, 2, 3, 0, 3, 4, 3, 4, 4, 2, 4, 2, 2, 1, 0, 1, 1, 2, 3, 1, 2, 2, 4, 0, 4, 1, 0, 3, 4, 0, 3, 3, 0, 2, 4, 4, 3, 4, 4, 4, 2, 0, 4, 3, 1, 2, 1, 2, 2, 0, 3, 3, 1, 2, 2, 3, 2, 2, 2, 0, 1, 0, 2, 1, 0, 3, 1, 3, 0, 4, 3, 1, 1, 4, 0, 0, 1, 3, 0, 4, 3, 4, 1, 1, 0, 3, 3, 0, 1, 3, 3, 0, 3, 4, 2, 0, 2, 4, 1, 1, 2, 2, 1, 4, 3, 1, 3, 0, 0, 3, 1, 0, 1, 4, 0, 3, 1, 3, 0, 1, 3, 2, 1, 2, 0, 1, 4, 4, 4, 0, 3, 4, 3, 1, 3, 0, 3, 4, 1, 4, 1, 2] pubkeycol1058 = [4, 4, 4, 1, 0, 0, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 0, 0, 0, 3, 3, 1, 1, 0, 2, 1, 2, 2, 0, 3, 0, 0, 0, 2, 2, 0, 4, 2, 3, 3, 0, 0, 0, 2, 4, 3, 3, 3, 0, 4, 2, 1, 2, 3, 4, 4, 3, 2, 2, 1, 3, 1, 3, 0, 0, 4, 4, 4, 3, 1, 1, 3, 4, 4, 0, 2, 3, 0, 3, 3, 4, 2, 1, 0, 1, 2, 0, 1, 3, 4, 3, 3, 4, 0, 4, 4, 3, 3, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 3, 2, 3, 1, 2, 3, 0, 4, 1, 1, 1, 4, 1, 4, 2, 3, 1, 1, 1, 3, 0, 3, 2, 2, 4, 2, 4, 2, 2, 2, 0, 0, 2, 0, 2, 2, 3, 4, 3, 1, 2, 1, 2, 2, 1, 0, 3, 3, 4, 2, 3, 2, 1, 1, 3, 1, 1, 2, 0, 3, 4, 3, 3, 1, 4, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 1, 3, 4, 1, 3, 1, 2, 4, 4, 4, 4, 0, 3, 0, 2, 4, 4, 0, 3, 1, 1, 4, 2, 1, 1, 0, 4, 3, 4, 2, 2, 4, 3, 2, 2, 0, 1, 3, 2, 2, 0, 1, 3, 2, 2, 0, 0, 4, 1, 2, 4, 1, 2, 2, 2, 4, 1, 4, 0, 3, 0, 0, 4, 0, 1, 3, 2, 4, 1, 1, 0, 1, 0, 3, 3, 2, 0, 3, 4, 2, 4, 0, 4, 2, 0, 4, 3, 0, 2, 1, 0, 0, 0, 2, 2, 1, 3, 2, 4, 1, 0, 2, 0, 0, 4, 0, 4, 0, 1, 4, 4, 1, 2, 2, 0, 3, 2, 1, 1, 1, 3, 1, 2, 1, 2, 4, 0, 3, 3, 1, 3, 2, 3, 2, 4] pubkeycol1059 = [0, 3, 3, 2, 1, 0, 2, 0, 4, 3, 1, 1, 3, 1, 2, 1, 0, 3, 1, 4, 4, 3, 1, 0, 1, 4, 2, 0, 0, 3, 1, 3, 3, 2, 0, 0, 2, 4, 4, 3, 1, 1, 1, 3, 3, 2, 3, 3, 1, 3, 2, 3, 2, 0, 3, 2, 2, 4, 1, 4, 0, 1, 3, 2, 0, 3, 0, 1, 2, 3, 3, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 3, 1, 1, 3, 0, 3, 1, 1, 2, 2, 3, 3, 0, 0, 4, 2, 0, 0, 2, 4, 0, 2, 0, 1, 1, 2, 1, 1, 4, 0, 2, 4, 2, 4, 2, 0, 1, 2, 3, 2, 4, 3, 2, 2, 3, 1, 0, 1, 4, 3, 1, 3, 0, 0, 3, 0, 4, 2, 0, 4, 1, 0, 2, 4, 0, 0, 0, 1, 1, 1, 3, 1, 3, 4, 1, 0, 4, 2, 0, 2, 1, 3, 1, 2, 3, 2, 4, 4, 1, 3, 4, 1, 4, 3, 4, 2, 1, 1, 0, 1, 3, 1, 2, 4, 4, 0, 4, 3, 2, 2, 2, 0, 1, 2, 0, 3, 1, 3, 4, 2, 0, 1, 2, 3, 1, 3, 1, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 2, 2, 1, 1, 1, 2, 3, 2, 1, 4, 4, 2, 4, 4, 4, 4, 2, 1, 0, 3, 2, 1, 1, 4, 1, 2, 3, 1, 3, 2, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 1, 4, 4, 1, 2, 3, 2, 3, 3, 2, 1, 4, 0, 0, 3, 4, 3, 0, 4, 0, 0, 2, 4, 2, 0, 1, 3, 0, 0, 4, 4, 0, 4, 4, 0, 1, 0, 3, 1, 2, 3, 3, 3, 2, 0, 1, 0, 2, 1, 1, 2, 1, 4, 4, 3, 2, 0, 3, 4, 4] pubkeycol1060 = [3, 0, 2, 0, 1, 1, 3, 3, 0, 4, 3, 2, 2, 4, 2, 0, 3, 3, 4, 0, 4, 3, 3, 2, 1, 0, 0, 4, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 4, 1, 0, 0, 3, 1, 2, 3, 4, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 4, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 3, 3, 0, 0, 0, 3, 0, 3, 0, 4, 1, 2, 4, 1, 0, 4, 2, 1, 3, 4, 0, 3, 4, 3, 3, 3, 0, 1, 3, 1, 1, 1, 4, 2, 2, 4, 0, 3, 1, 2, 1, 4, 0, 2, 1, 0, 0, 3, 4, 4, 0, 4, 1, 2, 0, 0, 4, 2, 4, 3, 2, 4, 4, 3, 1, 0, 1, 0, 1, 4, 3, 1, 1, 1, 3, 4, 4, 2, 0, 4, 3, 3, 1, 1, 0, 4, 4, 3, 0, 3, 3, 4, 0, 3, 0, 1, 3, 2, 4, 0, 1, 1, 1, 1, 3, 1, 3, 1, 2, 1, 2, 3, 3, 3, 1, 4, 0, 0, 1, 1, 4, 2, 4, 0, 0, 1, 3, 1, 0, 0, 1, 3, 3, 2, 4, 4, 2, 4, 4, 0, 3, 4, 0, 3, 0, 4, 3, 1, 0, 2, 2, 4, 3, 1, 3, 1, 1, 2, 3, 3, 0, 4, 1, 3, 4, 2, 3, 0, 2, 2, 4, 0, 1, 0, 2, 4, 0, 0, 0, 2, 3, 1, 4, 0, 1, 1, 0, 0, 2, 2, 1, 4, 3, 1, 4, 0, 2, 0, 0, 1, 0, 0, 4, 1, 4, 4, 3, 3, 1, 3, 0, 2, 3, 3, 1, 0, 3, 3, 4, 4, 0, 2, 2, 2, 0, 3, 2, 1, 3, 4, 1, 3, 2, 4, 4, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 4] pubkeycol1061 = [0, 2, 1, 1, 4, 4, 4, 2, 3, 3, 1, 2, 3, 0, 2, 3, 0, 0, 1, 2, 2, 2, 4, 3, 0, 2, 2, 4, 4, 0, 2, 2, 0, 4, 0, 4, 4, 4, 2, 0, 0, 4, 2, 1, 1, 1, 0, 4, 2, 4, 2, 4, 4, 1, 4, 1, 0, 3, 4, 3, 3, 3, 4, 4, 4, 3, 0, 0, 2, 1, 0, 0, 2, 3, 3, 4, 3, 2, 1, 3, 1, 4, 4, 4, 2, 0, 0, 4, 4, 2, 3, 3, 1, 1, 1, 4, 1, 3, 0, 0, 2, 2, 1, 1, 2, 2, 3, 0, 2, 3, 3, 2, 2, 4, 1, 2, 3, 4, 1, 3, 0, 1, 2, 2, 4, 0, 4, 3, 2, 3, 3, 1, 2, 4, 0, 4, 4, 3, 2, 4, 2, 0, 0, 3, 0, 2, 1, 3, 4, 0, 0, 0, 0, 2, 1, 4, 3, 4, 0, 3, 1, 1, 2, 4, 1, 3, 1, 3, 2, 2, 3, 0, 3, 1, 1, 1, 3, 2, 1, 2, 4, 1, 4, 2, 3, 2, 3, 1, 0, 3, 3, 4, 1, 3, 2, 2, 0, 4, 4, 1, 1, 4, 2, 1, 2, 0, 2, 1, 1, 4, 4, 0, 2, 4, 3, 4, 3, 1, 3, 2, 0, 2, 1, 2, 2, 0, 0, 2, 4, 3, 3, 0, 2, 0, 1, 3, 1, 3, 1, 2, 1, 1, 3, 2, 4, 2, 4, 4, 4, 1, 1, 1, 2, 2, 3, 2, 3, 0, 3, 4, 0, 4, 4, 0, 3, 2, 3, 3, 3, 2, 3, 3, 1, 4, 3, 1, 0, 1, 1, 4, 0, 3, 3, 0, 2, 3, 4, 1, 0, 4, 0, 0, 0, 0, 1, 1, 3, 4, 1, 0, 4, 4, 2, 0, 3, 0, 0, 3, 1, 1, 1, 4, 1, 4, 0, 2, 3, 1, 0, 0] pubkeycol1062 = [0, 0, 3, 3, 0, 1, 3, 1, 0, 0, 0, 1, 2, 1, 3, 0, 4, 1, 2, 4, 2, 0, 0, 4, 4, 1, 4, 1, 4, 1, 3, 2, 2, 2, 4, 4, 3, 2, 4, 3, 2, 3, 4, 4, 0, 4, 3, 4, 4, 2, 0, 2, 0, 0, 3, 1, 4, 3, 2, 4, 3, 1, 3, 2, 0, 1, 1, 1, 4, 4, 1, 3, 3, 0, 0, 2, 3, 3, 3, 0, 2, 0, 1, 2, 2, 2, 4, 1, 1, 2, 2, 3, 3, 2, 4, 1, 3, 1, 0, 1, 4, 3, 4, 4, 2, 3, 1, 1, 3, 0, 4, 3, 2, 4, 4, 4, 3, 1, 2, 4, 1, 0, 1, 1, 4, 0, 4, 0, 4, 1, 2, 4, 2, 1, 1, 0, 1, 4, 1, 4, 0, 0, 4, 0, 0, 1, 3, 1, 1, 4, 4, 4, 0, 2, 0, 3, 4, 3, 0, 1, 2, 4, 0, 0, 3, 4, 2, 4, 4, 4, 1, 4, 0, 1, 2, 2, 2, 0, 0, 1, 4, 4, 3, 4, 1, 1, 3, 0, 3, 0, 2, 1, 1, 1, 4, 3, 2, 3, 4, 0, 2, 2, 0, 3, 2, 3, 0, 3, 3, 2, 3, 3, 1, 0, 4, 1, 3, 0, 1, 0, 1, 1, 3, 3, 3, 1, 2, 4, 1, 1, 3, 4, 3, 3, 2, 0, 1, 4, 1, 1, 3, 1, 2, 4, 1, 0, 2, 2, 1, 2, 2, 4, 4, 3, 0, 3, 3, 3, 4, 0, 1, 3, 0, 3, 0, 0, 3, 0, 4, 3, 1, 3, 2, 2, 2, 3, 3, 2, 4, 0, 2, 2, 3, 4, 0, 1, 4, 4, 2, 1, 2, 2, 1, 2, 3, 2, 2, 4, 4, 2, 2, 1, 2, 2, 4, 4, 1, 2, 2, 2, 0, 4, 4, 0, 2, 4, 2, 4, 2, 4] pubkeycol1063 = [2, 2, 2, 3, 0, 0, 2, 4, 4, 1, 3, 3, 4, 2, 1, 4, 1, 4, 1, 4, 1, 1, 1, 1, 3, 1, 0, 4, 2, 0, 3, 1, 0, 4, 1, 4, 4, 0, 2, 2, 2, 3, 0, 0, 2, 1, 1, 3, 3, 1, 4, 4, 3, 1, 2, 4, 0, 0, 4, 0, 2, 0, 0, 3, 1, 2, 3, 0, 3, 2, 4, 0, 3, 3, 3, 0, 0, 1, 4, 3, 3, 3, 3, 4, 2, 2, 3, 4, 0, 4, 0, 3, 3, 3, 3, 2, 0, 2, 4, 2, 0, 1, 4, 3, 3, 3, 2, 2, 4, 3, 2, 0, 0, 4, 4, 3, 1, 2, 2, 3, 0, 4, 1, 3, 0, 3, 1, 1, 4, 1, 3, 2, 3, 4, 2, 2, 3, 0, 3, 2, 2, 2, 2, 2, 3, 1, 3, 1, 0, 1, 1, 1, 2, 3, 0, 1, 0, 0, 1, 3, 1, 0, 3, 4, 3, 4, 0, 3, 1, 2, 2, 3, 4, 4, 1, 4, 2, 4, 2, 4, 4, 4, 3, 3, 3, 4, 1, 2, 1, 0, 2, 4, 2, 0, 3, 4, 0, 2, 3, 1, 0, 2, 1, 1, 2, 4, 1, 4, 0, 4, 3, 3, 4, 3, 1, 0, 2, 3, 4, 3, 4, 4, 1, 0, 4, 2, 0, 3, 4, 2, 0, 1, 0, 1, 1, 1, 3, 0, 0, 1, 3, 4, 4, 1, 1, 2, 4, 3, 1, 3, 2, 4, 4, 2, 2, 3, 4, 3, 3, 0, 0, 1, 2, 2, 4, 3, 0, 4, 1, 0, 1, 1, 3, 3, 2, 4, 3, 1, 1, 2, 2, 4, 2, 0, 4, 1, 3, 2, 0, 4, 4, 2, 2, 2, 3, 4, 1, 0, 3, 3, 0, 1, 1, 3, 4, 3, 1, 0, 0, 3, 4, 2, 4, 3, 4, 4, 4, 0, 4, 0] pubkeycol1064 = [2, 4, 1, 0, 2, 2, 0, 1, 0, 1, 3, 1, 2, 2, 2, 4, 1, 3, 1, 4, 2, 4, 4, 0, 4, 3, 0, 0, 2, 4, 0, 4, 2, 4, 0, 1, 3, 2, 3, 0, 4, 3, 3, 1, 4, 4, 2, 2, 0, 2, 1, 1, 3, 2, 1, 4, 2, 1, 4, 3, 1, 2, 4, 3, 1, 1, 3, 0, 0, 3, 0, 4, 3, 2, 2, 3, 1, 0, 2, 2, 2, 1, 0, 4, 3, 2, 3, 3, 2, 1, 4, 2, 0, 2, 1, 3, 4, 4, 1, 4, 3, 0, 2, 1, 2, 0, 1, 4, 0, 4, 1, 0, 0, 4, 2, 1, 2, 4, 0, 3, 2, 4, 2, 4, 1, 3, 0, 1, 0, 1, 1, 3, 2, 0, 4, 1, 0, 4, 1, 3, 1, 0, 4, 4, 4, 1, 2, 4, 3, 4, 0, 1, 3, 2, 1, 1, 3, 4, 4, 4, 3, 3, 0, 3, 3, 2, 2, 2, 3, 1, 0, 3, 1, 2, 2, 2, 0, 1, 1, 3, 2, 1, 2, 0, 3, 1, 1, 4, 4, 2, 4, 2, 3, 3, 3, 3, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 4, 4, 4, 3, 0, 1, 4, 0, 2, 3, 3, 3, 2, 0, 0, 3, 4, 4, 0, 4, 4, 3, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 2, 4, 2, 2, 1, 3, 0, 1, 1, 4, 1, 2, 3, 2, 2, 2, 0, 1, 1, 0, 0, 3, 3, 4, 4, 0, 4, 0, 0, 2, 3, 3, 3, 1, 0, 2, 2, 4, 4, 3, 0, 4, 4, 4, 2, 1, 1, 0, 1, 0, 3, 2, 0, 2, 2, 2, 0, 0, 1, 4, 3, 2, 1, 2, 2, 0, 3, 2, 0, 2, 2, 1, 0, 3, 0, 0, 4, 4, 0, 1, 3] pubkeycol1065 = [4, 2, 2, 0, 0, 2, 4, 3, 3, 3, 2, 2, 4, 4, 3, 4, 3, 4, 1, 4, 3, 4, 1, 3, 1, 1, 4, 0, 4, 0, 2, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 1, 3, 2, 1, 2, 4, 0, 1, 0, 2, 0, 3, 0, 0, 2, 4, 0, 1, 2, 1, 1, 3, 3, 2, 2, 4, 4, 4, 3, 0, 3, 3, 3, 1, 2, 1, 0, 0, 2, 0, 3, 4, 1, 1, 4, 1, 4, 3, 1, 1, 3, 0, 3, 1, 1, 4, 0, 4, 0, 2, 0, 4, 1, 4, 0, 4, 3, 2, 3, 4, 3, 3, 2, 1, 0, 0, 4, 4, 2, 3, 2, 0, 2, 0, 0, 1, 0, 0, 0, 4, 0, 0, 2, 2, 3, 3, 1, 2, 0, 4, 0, 0, 2, 3, 2, 2, 1, 3, 4, 0, 1, 3, 0, 0, 2, 0, 2, 1, 0, 4, 0, 2, 0, 2, 1, 2, 4, 1, 3, 3, 2, 1, 0, 3, 2, 4, 0, 4, 3, 2, 2, 0, 0, 3, 0, 4, 3, 3, 3, 0, 2, 2, 3, 2, 3, 2, 3, 3, 1, 3, 2, 3, 0, 3, 4, 0, 1, 4, 3, 4, 1, 0, 3, 2, 0, 3, 4, 2, 0, 4, 1, 0, 2, 0, 0, 1, 4, 0, 2, 4, 3, 0, 4, 3, 3, 4, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 0, 3, 2, 1, 0, 3, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 3, 2, 3, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 4, 3, 1, 4, 1, 3, 1, 0, 3, 0, 0, 3, 3, 1, 2, 3, 3, 2, 4, 3, 2, 0, 3, 3, 1, 3, 3, 1, 2, 3, 4, 0, 0, 4, 3, 0] pubkeycol1066 = [1, 2, 4, 2, 2, 0, 2, 3, 4, 0, 4, 2, 4, 4, 3, 2, 4, 0, 3, 1, 0, 4, 4, 2, 3, 2, 1, 2, 0, 2, 3, 0, 3, 1, 4, 2, 3, 2, 1, 1, 2, 2, 1, 3, 2, 1, 2, 3, 4, 4, 0, 1, 0, 0, 0, 0, 1, 1, 2, 4, 0, 4, 1, 2, 0, 2, 1, 4, 2, 0, 0, 4, 4, 4, 4, 0, 2, 3, 4, 1, 3, 4, 0, 4, 4, 1, 4, 3, 4, 2, 0, 2, 2, 2, 4, 3, 3, 4, 1, 2, 0, 1, 0, 2, 3, 0, 4, 1, 1, 2, 1, 1, 4, 3, 1, 4, 2, 0, 2, 1, 0, 2, 3, 0, 1, 1, 2, 0, 1, 4, 2, 2, 1, 0, 1, 0, 4, 3, 1, 0, 4, 0, 4, 3, 3, 4, 0, 3, 2, 0, 3, 2, 1, 0, 2, 3, 0, 0, 3, 4, 4, 2, 1, 4, 0, 1, 0, 2, 2, 1, 1, 3, 4, 0, 0, 4, 1, 3, 4, 0, 4, 3, 1, 1, 4, 2, 2, 4, 1, 2, 0, 2, 4, 3, 3, 0, 2, 2, 3, 4, 0, 3, 4, 1, 1, 2, 1, 2, 4, 1, 4, 2, 3, 3, 0, 1, 2, 1, 1, 3, 4, 1, 0, 2, 1, 0, 0, 2, 0, 3, 0, 4, 0, 0, 3, 0, 2, 1, 4, 3, 3, 2, 4, 2, 1, 3, 4, 1, 4, 3, 0, 4, 4, 2, 2, 3, 1, 0, 1, 0, 2, 3, 2, 2, 0, 3, 0, 3, 4, 4, 2, 0, 0, 4, 4, 1, 0, 1, 2, 3, 1, 2, 0, 1, 1, 0, 4, 2, 3, 3, 4, 1, 2, 3, 3, 2, 4, 2, 4, 4, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 2, 4, 0, 0] pubkeycol1067 = [0, 0, 4, 4, 4, 1, 3, 1, 3, 4, 1, 2, 4, 4, 1, 2, 2, 4, 4, 3, 0, 4, 4, 4, 3, 4, 0, 2, 2, 3, 0, 1, 0, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 3, 2, 4, 1, 0, 3, 2, 0, 4, 2, 4, 2, 1, 0, 3, 3, 3, 4, 0, 1, 0, 4, 3, 1, 0, 1, 0, 4, 3, 2, 4, 1, 2, 0, 2, 0, 2, 1, 2, 4, 1, 1, 0, 0, 0, 3, 2, 4, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 4, 3, 2, 1, 2, 4, 1, 1, 0, 3, 0, 1, 4, 0, 1, 2, 3, 0, 1, 2, 4, 4, 4, 3, 3, 0, 1, 4, 3, 4, 0, 3, 3, 4, 4, 1, 1, 2, 4, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 4, 3, 1, 0, 3, 0, 3, 2, 4, 1, 2, 3, 4, 1, 2, 4, 3, 4, 1, 1, 2, 3, 3, 4, 2, 1, 1, 3, 4, 2, 4, 4, 1, 2, 2, 4, 1, 0, 4, 2, 0, 0, 2, 0, 0, 1, 3, 0, 0, 1, 0, 1, 0, 4, 4, 4, 4, 2, 3, 4, 2, 0, 1, 2, 3, 4, 4, 0, 0, 2, 1, 3, 0, 4, 2, 2, 3, 1, 1, 2, 4, 0, 0, 1, 1, 4, 1, 4, 4, 2, 0, 0, 4, 2, 3, 4, 3, 1, 2, 1, 4, 4, 2, 1, 1, 3, 2, 2, 0, 0, 0, 2, 2, 0, 4, 2, 2, 1, 4, 3, 0, 1, 2, 3, 1, 1, 2, 0, 1, 0, 0, 3, 2, 0, 4, 3, 4, 0, 2, 1, 3, 1, 2, 0, 0, 3, 1, 4, 2, 4, 3, 0, 1, 2, 3, 3, 0, 0, 0, 1, 4, 0, 1, 4, 0, 2, 2, 1] pubkeycol1068 = [0, 2, 2, 2, 0, 4, 4, 3, 3, 0, 4, 3, 2, 4, 1, 1, 2, 2, 0, 0, 0, 3, 2, 4, 2, 3, 1, 1, 0, 0, 1, 1, 2, 4, 0, 3, 2, 3, 4, 0, 2, 0, 3, 4, 3, 1, 0, 2, 2, 1, 3, 4, 2, 2, 2, 0, 0, 2, 1, 2, 4, 2, 0, 0, 0, 1, 2, 4, 2, 4, 0, 2, 1, 0, 3, 1, 4, 4, 0, 2, 2, 0, 3, 3, 3, 0, 0, 3, 3, 1, 3, 2, 1, 0, 2, 3, 4, 2, 1, 3, 4, 2, 3, 3, 1, 2, 3, 1, 2, 1, 0, 4, 0, 2, 3, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 4, 4, 3, 4, 0, 3, 0, 4, 1, 3, 3, 3, 3, 4, 0, 3, 0, 0, 4, 2, 2, 4, 3, 3, 0, 2, 0, 0, 2, 1, 1, 3, 2, 3, 0, 2, 1, 0, 0, 0, 4, 2, 3, 3, 0, 0, 0, 4, 2, 4, 2, 0, 2, 2, 2, 0, 3, 3, 2, 0, 1, 0, 1, 2, 0, 4, 1, 4, 3, 3, 2, 3, 2, 4, 0, 3, 4, 0, 4, 3, 1, 1, 2, 3, 2, 4, 1, 0, 2, 0, 2, 2, 1, 2, 4, 2, 0, 3, 3, 1, 2, 1, 2, 0, 0, 0, 4, 4, 4, 4, 2, 3, 2, 0, 0, 1, 2, 0, 3, 2, 2, 3, 2, 2, 1, 1, 4, 0, 0, 1, 2, 4, 4, 3, 0, 1, 0, 0, 3, 1, 2, 1, 0, 2, 1, 3, 2, 3, 3, 0, 2, 4, 0, 1, 2, 4, 4, 2, 0, 2, 1, 3, 2, 0, 0, 4, 2, 4, 3, 3, 3, 3, 3, 1, 0, 0, 4, 1, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 0, 1, 2, 1, 2, 4] pubkeycol1069 = [0, 1, 4, 4, 1, 3, 4, 3, 4, 2, 2, 3, 4, 0, 2, 4, 2, 2, 3, 4, 4, 3, 3, 0, 1, 3, 1, 1, 0, 1, 2, 2, 1, 3, 4, 2, 0, 2, 1, 4, 4, 3, 3, 4, 2, 3, 0, 4, 0, 3, 0, 0, 0, 2, 4, 2, 1, 4, 2, 1, 3, 0, 4, 1, 4, 1, 0, 3, 4, 0, 1, 3, 2, 0, 3, 3, 3, 0, 0, 1, 2, 3, 0, 0, 0, 3, 1, 1, 0, 0, 2, 3, 0, 2, 3, 3, 2, 3, 1, 1, 1, 3, 1, 2, 2, 4, 1, 3, 3, 1, 4, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 3, 3, 3, 4, 0, 4, 3, 0, 0, 4, 0, 2, 0, 4, 4, 1, 3, 1, 2, 0, 4, 3, 1, 0, 4, 2, 2, 0, 1, 1, 1, 2, 3, 1, 0, 4, 3, 2, 2, 4, 3, 3, 4, 3, 3, 3, 2, 1, 1, 0, 2, 1, 4, 3, 3, 2, 4, 1, 3, 4, 1, 1, 0, 4, 4, 2, 3, 0, 1, 0, 1, 3, 4, 1, 3, 0, 1, 1, 2, 2, 4, 4, 4, 3, 2, 3, 0, 0, 3, 1, 3, 3, 1, 0, 2, 4, 0, 4, 2, 1, 2, 2, 3, 0, 1, 4, 3, 4, 4, 1, 4, 2, 0, 2, 4, 3, 4, 1, 1, 1, 3, 3, 3, 4, 1, 1, 4, 3, 4, 2, 0, 4, 1, 0, 1, 2, 4, 3, 2, 1, 4, 2, 0, 2, 3, 3, 3, 1, 1, 2, 3, 1, 0, 1, 3, 0, 3, 3, 3, 4, 2, 0, 2, 2, 2, 3, 0, 0, 1, 3, 4, 2, 0, 3, 1, 0, 3, 2, 1, 4, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 3, 3, 2, 1, 1, 4, 0] pubkeycol1070 = [4, 3, 0, 3, 0, 3, 0, 1, 2, 3, 3, 3, 1, 3, 1, 4, 3, 1, 2, 4, 2, 0, 4, 4, 0, 2, 4, 4, 3, 1, 3, 3, 4, 1, 2, 1, 1, 0, 4, 2, 0, 2, 2, 3, 1, 2, 0, 4, 0, 2, 1, 1, 4, 0, 3, 1, 2, 4, 2, 2, 2, 3, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 3, 2, 2, 2, 3, 1, 0, 0, 0, 2, 2, 0, 3, 1, 2, 2, 0, 1, 1, 3, 4, 0, 3, 1, 0, 0, 4, 2, 0, 2, 4, 1, 2, 1, 2, 0, 2, 1, 1, 0, 3, 1, 4, 4, 1, 1, 0, 0, 4, 2, 2, 2, 2, 2, 4, 1, 4, 4, 0, 4, 4, 3, 3, 4, 1, 1, 4, 1, 2, 0, 1, 4, 2, 1, 2, 1, 4, 3, 0, 2, 4, 0, 0, 2, 1, 3, 4, 0, 2, 1, 2, 3, 1, 0, 2, 3, 1, 0, 1, 0, 1, 4, 2, 1, 2, 4, 0, 3, 0, 4, 4, 2, 4, 0, 4, 4, 0, 3, 4, 3, 0, 2, 1, 2, 3, 1, 3, 1, 3, 4, 2, 2, 2, 2, 2, 1, 2, 3, 0, 3, 1, 3, 0, 4, 3, 1, 3, 3, 1, 4, 2, 4, 1, 2, 4, 2, 3, 2, 1, 4, 0, 3, 1, 1, 1, 3, 0, 0, 2, 0, 0, 1, 0, 4, 3, 1, 4, 3, 1, 4, 0, 2, 3, 4, 2, 4, 0, 3, 2, 0, 1, 4, 4, 0, 0, 3, 2, 2, 1, 3, 3, 4, 2, 0, 2, 1, 4, 4, 0, 2, 2, 3, 4, 4, 0, 1, 4, 2, 2, 3, 3, 4, 2, 0, 1, 3, 2, 1, 4, 3, 2, 1, 2, 1, 3, 2, 1, 0, 1, 1, 0, 3, 1, 3, 3, 2, 3, 2] pubkeycol1071 = [4, 2, 4, 1, 1, 0, 3, 0, 2, 0, 3, 0, 3, 0, 2, 0, 3, 3, 2, 2, 1, 2, 0, 1, 2, 1, 4, 4, 0, 3, 4, 1, 3, 3, 3, 1, 2, 2, 1, 4, 4, 1, 1, 3, 3, 2, 4, 2, 3, 1, 1, 1, 3, 3, 2, 2, 2, 1, 3, 4, 2, 2, 4, 0, 1, 0, 0, 0, 2, 1, 4, 2, 2, 0, 1, 3, 4, 4, 2, 3, 0, 1, 3, 1, 2, 3, 4, 1, 3, 0, 0, 2, 1, 4, 0, 2, 2, 1, 3, 1, 4, 1, 4, 4, 0, 3, 4, 4, 2, 0, 2, 4, 1, 2, 1, 0, 4, 2, 1, 4, 2, 3, 4, 3, 1, 4, 1, 1, 1, 1, 4, 4, 2, 1, 0, 4, 4, 1, 2, 0, 4, 3, 3, 3, 1, 4, 1, 1, 0, 1, 4, 0, 2, 1, 2, 1, 2, 1, 3, 3, 3, 2, 3, 3, 4, 1, 2, 3, 3, 4, 4, 4, 2, 4, 0, 3, 2, 4, 3, 1, 1, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 4, 4, 0, 2, 2, 1, 3, 1, 1, 2, 0, 3, 3, 1, 0, 3, 2, 2, 1, 1, 1, 0, 2, 3, 2, 4, 3, 3, 3, 4, 1, 2, 4, 4, 3, 3, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 4, 4, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 4, 2, 2, 1, 0, 1, 4, 2, 0, 0, 4, 1, 0, 0, 0, 3, 1, 1, 0, 3, 1, 1, 3, 1, 0, 3, 4, 2, 2, 0, 2, 1, 0, 4, 3, 3, 1, 0, 2, 2, 3, 3, 4, 4, 3, 2, 2, 1, 0, 1, 3, 1, 1, 2, 2, 3, 3, 0, 3, 2, 1, 4, 0, 2, 1, 3] pubkeycol1072 = [1, 4, 4, 4, 1, 2, 4, 2, 3, 0, 1, 4, 0, 0, 2, 3, 2, 4, 2, 4, 3, 2, 2, 3, 2, 1, 3, 1, 4, 4, 2, 3, 0, 1, 1, 3, 1, 2, 3, 3, 3, 4, 1, 2, 4, 4, 4, 1, 1, 3, 4, 3, 4, 1, 0, 3, 1, 3, 4, 4, 4, 0, 0, 0, 2, 3, 0, 4, 4, 2, 3, 4, 0, 2, 4, 2, 1, 0, 3, 1, 4, 4, 3, 0, 0, 1, 2, 3, 2, 3, 0, 1, 4, 4, 4, 1, 4, 2, 2, 1, 0, 3, 3, 3, 3, 2, 2, 4, 4, 3, 0, 2, 2, 4, 4, 3, 0, 1, 4, 3, 4, 0, 2, 4, 4, 4, 1, 1, 1, 2, 1, 4, 2, 2, 1, 1, 3, 0, 3, 3, 3, 4, 0, 4, 1, 2, 0, 4, 4, 4, 4, 3, 0, 4, 1, 2, 0, 1, 0, 0, 0, 4, 2, 1, 0, 2, 2, 2, 3, 2, 3, 2, 0, 0, 0, 0, 1, 0, 1, 4, 3, 3, 0, 1, 3, 3, 0, 4, 0, 3, 1, 1, 3, 3, 1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 2, 4, 2, 0, 0, 2, 2, 2, 4, 3, 1, 0, 4, 3, 3, 4, 3, 2, 0, 1, 4, 2, 2, 0, 4, 1, 3, 4, 0, 0, 3, 2, 0, 3, 4, 4, 3, 3, 3, 3, 4, 2, 2, 1, 4, 1, 2, 0, 4, 1, 3, 1, 1, 4, 2, 2, 3, 3, 4, 1, 0, 3, 2, 1, 2, 2, 4, 2, 4, 3, 3, 4, 3, 1, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 2, 0, 0, 4, 4, 0, 1, 3, 2, 0, 1, 4, 1, 2, 4, 1, 0, 4, 2, 4, 0, 0, 4, 0, 2, 2, 3, 0, 1, 3, 3, 0] pubkeycol1073 = [3, 2, 0, 2, 3, 0, 3, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 4, 1, 0, 3, 2, 4, 0, 2, 3, 4, 0, 4, 2, 4, 4, 0, 3, 2, 0, 4, 0, 4, 1, 1, 3, 2, 1, 1, 0, 0, 3, 0, 0, 3, 0, 1, 2, 3, 3, 0, 3, 1, 0, 4, 4, 1, 2, 0, 0, 3, 0, 2, 3, 3, 3, 0, 0, 2, 3, 3, 3, 3, 0, 2, 2, 4, 3, 4, 0, 2, 0, 0, 2, 2, 0, 0, 1, 3, 4, 2, 4, 1, 0, 4, 0, 1, 2, 2, 2, 3, 0, 4, 2, 4, 3, 3, 2, 0, 4, 2, 3, 0, 4, 1, 2, 4, 3, 4, 1, 2, 3, 2, 0, 2, 2, 3, 4, 2, 0, 2, 2, 4, 3, 4, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 0, 0, 1, 3, 2, 3, 4, 1, 2, 1, 2, 4, 4, 3, 0, 4, 2, 3, 4, 4, 0, 4, 1, 1, 1, 4, 3, 3, 1, 0, 3, 0, 3, 4, 3, 1, 0, 3, 4, 4, 2, 0, 1, 0, 2, 1, 0, 2, 3, 2, 3, 3, 0, 3, 3, 0, 2, 4, 0, 2, 4, 0, 4, 1, 3, 4, 1, 3, 2, 0, 3, 1, 1, 3, 3, 3, 0, 4, 3, 1, 4, 2, 2, 0, 0, 2, 2, 1, 3, 0, 0, 3, 1, 3, 3, 3, 0, 4, 4, 4, 2, 3, 3, 4, 2, 0, 1, 1, 3, 4, 1, 0, 0, 1, 4, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 4, 1, 3, 3, 3, 0, 1, 2, 1, 0, 4, 2, 3, 0, 4, 3, 3, 1, 2, 1, 3, 4, 1, 4, 3, 3, 4, 2, 0, 4, 4, 3, 2, 0, 4, 0, 4] pubkeycol1074 = [3, 4, 2, 0, 2, 0, 1, 3, 1, 4, 4, 2, 3, 2, 3, 4, 2, 1, 0, 0, 4, 1, 2, 2, 2, 0, 4, 1, 3, 0, 3, 3, 1, 1, 0, 1, 2, 4, 2, 1, 2, 2, 2, 0, 2, 3, 1, 1, 1, 3, 4, 2, 3, 3, 4, 0, 2, 1, 4, 0, 0, 2, 1, 1, 2, 3, 3, 4, 1, 3, 3, 4, 1, 0, 2, 0, 3, 3, 2, 4, 0, 0, 3, 0, 3, 4, 4, 3, 2, 1, 2, 0, 4, 4, 4, 3, 1, 3, 4, 4, 1, 3, 4, 1, 2, 2, 0, 1, 0, 2, 4, 0, 0, 0, 4, 1, 3, 4, 2, 1, 4, 3, 3, 2, 3, 4, 4, 4, 2, 0, 1, 3, 4, 1, 3, 0, 1, 3, 2, 4, 2, 2, 3, 2, 4, 4, 0, 2, 3, 0, 3, 3, 4, 4, 4, 3, 3, 3, 1, 4, 2, 3, 2, 2, 1, 3, 1, 3, 4, 3, 3, 4, 2, 0, 2, 3, 4, 2, 2, 4, 1, 4, 1, 0, 1, 2, 0, 0, 4, 2, 4, 2, 0, 2, 0, 4, 0, 1, 2, 4, 3, 2, 4, 1, 4, 3, 3, 2, 1, 4, 3, 4, 4, 0, 4, 1, 3, 2, 2, 4, 1, 0, 1, 1, 1, 0, 0, 0, 4, 0, 0, 4, 1, 1, 0, 2, 1, 4, 3, 2, 0, 3, 2, 2, 2, 4, 4, 1, 3, 3, 2, 3, 3, 1, 4, 2, 4, 0, 0, 2, 0, 4, 0, 4, 1, 3, 0, 4, 1, 2, 2, 2, 3, 1, 0, 1, 2, 3, 1, 2, 0, 2, 3, 4, 3, 3, 3, 4, 4, 2, 0, 3, 2, 3, 2, 1, 0, 1, 1, 0, 0, 4, 2, 3, 1, 0, 4, 2, 0, 3, 0, 0, 1, 2, 2, 4, 1, 2, 1, 1] pubkeycol1075 = [4, 0, 4, 2, 4, 1, 0, 4, 2, 1, 1, 2, 3, 0, 0, 4, 4, 2, 0, 2, 2, 4, 3, 3, 2, 1, 4, 4, 2, 1, 3, 4, 0, 1, 1, 1, 2, 4, 4, 0, 2, 1, 2, 0, 4, 4, 0, 1, 3, 3, 2, 1, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 3, 1, 0, 0, 3, 2, 4, 2, 1, 2, 3, 2, 1, 4, 0, 1, 0, 1, 0, 0, 0, 3, 1, 1, 1, 3, 3, 0, 1, 4, 4, 1, 4, 1, 0, 0, 4, 2, 1, 2, 3, 0, 0, 2, 3, 1, 2, 3, 1, 1, 3, 0, 3, 3, 4, 4, 1, 4, 3, 0, 4, 1, 1, 0, 3, 4, 3, 4, 3, 0, 0, 3, 0, 2, 4, 2, 4, 2, 4, 3, 4, 0, 0, 2, 3, 1, 4, 2, 0, 1, 4, 2, 2, 4, 0, 1, 2, 4, 3, 0, 4, 1, 0, 2, 4, 4, 0, 0, 0, 0, 4, 1, 3, 2, 1, 3, 1, 4, 1, 0, 3, 3, 3, 1, 2, 4, 1, 0, 1, 0, 3, 0, 1, 2, 0, 0, 4, 4, 4, 3, 1, 0, 4, 0, 0, 3, 2, 3, 2, 2, 4, 3, 4, 2, 4, 4, 0, 4, 2, 4, 2, 4, 3, 1, 2, 4, 0, 2, 1, 3, 4, 3, 1, 0, 0, 2, 0, 2, 4, 1, 0, 2, 4, 3, 4, 0, 1, 4, 1, 3, 4, 3, 2, 2, 1, 4, 3, 3, 1, 4, 4, 2, 4, 3, 0, 3, 1, 1, 4, 4, 1, 4, 0, 3, 3, 0, 0, 1, 3, 0, 1, 3, 0, 1, 0, 0, 0, 4, 2, 4, 1, 3, 3, 3, 2, 1, 2, 1, 2, 4, 3, 4, 2, 2, 0, 3, 3, 3, 3, 1, 1, 2, 3, 3, 4, 4, 1] pubkeycol1076 = [2, 4, 4, 1, 4, 0, 0, 1, 2, 0, 3, 0, 1, 4, 1, 4, 3, 3, 0, 0, 1, 2, 1, 3, 0, 4, 1, 3, 1, 1, 4, 4, 1, 0, 4, 3, 2, 4, 3, 4, 1, 4, 1, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 1, 0, 2, 3, 2, 0, 0, 1, 1, 2, 4, 3, 1, 0, 4, 3, 1, 2, 2, 2, 1, 1, 3, 3, 3, 2, 4, 0, 0, 2, 4, 3, 4, 2, 3, 4, 0, 3, 0, 4, 1, 4, 2, 3, 1, 3, 0, 4, 1, 4, 2, 0, 0, 2, 2, 0, 4, 4, 4, 1, 4, 2, 4, 3, 1, 3, 2, 1, 3, 2, 3, 3, 0, 0, 0, 1, 1, 4, 4, 1, 0, 1, 0, 2, 0, 4, 0, 1, 1, 0, 2, 4, 0, 2, 2, 3, 3, 3, 3, 4, 1, 2, 0, 0, 2, 0, 1, 0, 4, 1, 3, 0, 0, 4, 3, 4, 3, 3, 1, 4, 3, 0, 0, 0, 1, 4, 2, 1, 4, 4, 1, 3, 3, 3, 3, 1, 4, 2, 3, 2, 4, 2, 3, 1, 2, 3, 3, 1, 0, 2, 0, 2, 2, 2, 3, 4, 3, 4, 0, 1, 3, 4, 4, 0, 2, 4, 1, 2, 1, 3, 2, 1, 1, 3, 2, 3, 0, 4, 2, 0, 3, 3, 2, 3, 0, 4, 0, 2, 4, 2, 3, 1, 1, 2, 3, 0, 3, 3, 0, 2, 3, 3, 4, 4, 3, 4, 3, 4, 2, 4, 2, 0, 4, 3, 3, 2, 4, 4, 0, 1, 3, 2, 0, 2, 0, 1, 0, 1, 2, 4, 2, 1, 1, 2, 2, 2, 3, 2, 2, 4, 1, 2, 3, 0, 2, 4, 3, 2, 0, 4, 3, 0, 3, 2, 3, 3, 3, 4, 0, 1, 2, 1, 4, 0, 3, 0, 2] pubkeycol1077 = [0, 1, 4, 1, 0, 2, 4, 2, 4, 3, 3, 4, 0, 1, 0, 3, 1, 3, 0, 3, 4, 2, 1, 1, 4, 0, 3, 4, 2, 3, 3, 0, 0, 2, 4, 0, 1, 2, 1, 3, 3, 0, 3, 2, 3, 4, 1, 4, 1, 1, 0, 1, 0, 2, 1, 1, 2, 3, 2, 3, 0, 3, 2, 4, 3, 1, 3, 4, 0, 0, 2, 0, 0, 4, 2, 0, 4, 1, 4, 2, 0, 3, 2, 0, 4, 3, 3, 0, 1, 3, 2, 2, 3, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 4, 0, 2, 0, 0, 3, 4, 3, 2, 1, 3, 4, 2, 2, 3, 4, 2, 4, 1, 1, 1, 1, 3, 4, 2, 1, 1, 0, 2, 4, 0, 3, 4, 2, 0, 2, 4, 1, 0, 3, 0, 4, 1, 2, 3, 4, 3, 3, 0, 2, 1, 3, 4, 2, 3, 0, 2, 3, 3, 2, 0, 4, 2, 3, 4, 1, 0, 1, 3, 1, 3, 1, 1, 3, 4, 3, 1, 2, 2, 1, 3, 4, 2, 0, 2, 2, 0, 4, 1, 0, 4, 4, 2, 1, 2, 3, 0, 1, 1, 4, 3, 2, 2, 1, 4, 2, 1, 1, 1, 2, 3, 2, 3, 1, 3, 2, 1, 2, 2, 1, 4, 4, 1, 3, 0, 0, 1, 3, 1, 4, 0, 1, 1, 2, 2, 3, 2, 3, 4, 3, 0, 0, 1, 1, 1, 0, 4, 4, 3, 3, 2, 4, 2, 1, 3, 2, 2, 3, 1, 1, 0, 1, 4, 4, 1, 3, 3, 4, 4, 0, 3, 3, 1, 2, 4, 4, 0, 4, 1, 3, 0, 1, 0, 4, 3, 4, 1, 4, 3, 2, 4, 3, 0, 1, 3, 3, 2, 3, 0, 0, 2, 4, 0, 2, 4, 4, 2, 2, 2, 2, 0, 1, 1, 4, 4, 1, 1] pubkeycol1078 = [1, 2, 0, 0, 1, 0, 4, 0, 4, 0, 0, 3, 4, 0, 0, 2, 4, 1, 2, 1, 0, 2, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 1, 0, 4, 0, 4, 2, 4, 0, 1, 3, 4, 2, 3, 2, 0, 3, 4, 3, 1, 0, 1, 4, 1, 3, 1, 4, 3, 4, 4, 0, 0, 3, 1, 4, 3, 0, 0, 4, 1, 1, 2, 1, 3, 1, 2, 2, 4, 4, 2, 0, 4, 0, 3, 2, 3, 0, 0, 0, 3, 4, 4, 3, 3, 0, 4, 1, 4, 0, 1, 4, 1, 1, 2, 4, 4, 2, 0, 3, 0, 2, 0, 1, 1, 4, 1, 4, 3, 1, 2, 0, 4, 4, 3, 4, 3, 0, 2, 1, 4, 3, 1, 0, 0, 2, 0, 2, 3, 1, 1, 4, 0, 3, 2, 1, 4, 3, 2, 0, 4, 3, 3, 0, 3, 3, 0, 0, 3, 3, 2, 0, 4, 0, 4, 0, 0, 4, 3, 3, 2, 3, 1, 4, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 3, 4, 2, 4, 2, 2, 2, 3, 0, 1, 0, 3, 1, 1, 1, 3, 2, 0, 2, 2, 0, 0, 2, 1, 1, 3, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 4, 0, 4, 3, 2, 2, 4, 4, 2, 0, 2, 1, 2, 4, 4, 0, 3, 2, 0, 3, 4, 1, 2, 4, 3, 3, 0, 0, 1, 4, 4, 3, 0, 2, 1, 0, 4, 0, 0, 3, 2, 0, 4, 4, 0, 0, 3, 1, 2, 4, 4, 4, 3, 3, 0, 0, 3, 4, 4, 2, 2, 3, 0, 1, 0, 0, 4, 3, 2, 1, 3, 3, 1, 0, 1, 2, 0, 0, 1, 3, 2, 0, 1, 2, 2, 4, 2, 3, 1, 1, 1, 4, 3, 2, 2, 1, 3] pubkeycol1079 = [2, 2, 2, 2, 4, 1, 2, 3, 0, 0, 2, 2, 3, 4, 4, 1, 2, 0, 3, 3, 1, 3, 3, 3, 1, 1, 4, 1, 2, 1, 1, 0, 1, 2, 4, 2, 3, 2, 1, 3, 1, 4, 3, 3, 2, 3, 2, 4, 4, 3, 2, 2, 0, 1, 4, 1, 2, 3, 1, 3, 1, 3, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 3, 4, 1, 0, 0, 3, 4, 0, 1, 3, 0, 1, 1, 0, 2, 3, 3, 1, 4, 4, 1, 4, 0, 3, 4, 4, 3, 0, 2, 2, 4, 2, 0, 1, 3, 3, 2, 0, 1, 3, 2, 0, 2, 1, 2, 3, 0, 3, 3, 4, 4, 2, 0, 2, 4, 4, 2, 2, 1, 4, 1, 1, 3, 4, 0, 1, 2, 3, 2, 2, 1, 4, 1, 1, 1, 2, 4, 2, 2, 2, 4, 2, 0, 0, 1, 1, 2, 3, 4, 1, 4, 2, 1, 2, 0, 1, 2, 0, 1, 3, 2, 2, 4, 3, 0, 1, 1, 2, 1, 1, 3, 2, 4, 2, 1, 1, 3, 2, 1, 1, 4, 4, 1, 2, 4, 2, 4, 1, 0, 3, 2, 2, 2, 0, 1, 3, 1, 2, 4, 4, 0, 4, 1, 4, 1, 3, 2, 2, 3, 1, 2, 1, 0, 2, 1, 3, 4, 3, 3, 4, 2, 0, 1, 1, 0, 4, 2, 0, 0, 1, 2, 0, 3, 0, 1, 0, 0, 4, 3, 1, 0, 2, 0, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 1, 3, 4, 3, 3, 0, 1, 3, 2, 1, 0, 4, 3, 4, 0, 2, 2, 1, 2, 0, 3, 0, 4, 1, 1, 2, 3, 0, 2, 4, 2, 2, 1, 4, 4, 2, 3, 1, 3, 1, 3, 3, 1, 4, 4, 2, 3, 2, 2, 2, 3] pubkeycol1080 = [4, 1, 1, 1, 3, 0, 0, 2, 4, 4, 1, 0, 4, 4, 1, 1, 0, 3, 4, 3, 1, 2, 2, 4, 2, 0, 3, 4, 1, 1, 0, 3, 0, 1, 1, 3, 2, 0, 4, 3, 4, 0, 2, 4, 2, 0, 1, 3, 1, 2, 3, 2, 1, 3, 2, 0, 0, 4, 0, 1, 2, 0, 2, 3, 4, 0, 0, 2, 4, 2, 3, 0, 0, 4, 3, 3, 2, 2, 2, 0, 1, 1, 0, 3, 2, 2, 3, 3, 4, 0, 4, 4, 4, 1, 3, 3, 2, 2, 4, 1, 0, 4, 3, 1, 2, 2, 2, 1, 1, 1, 4, 2, 1, 1, 0, 3, 0, 2, 0, 4, 4, 2, 2, 3, 2, 1, 0, 2, 3, 1, 4, 3, 2, 3, 1, 2, 2, 0, 1, 0, 1, 1, 4, 3, 0, 0, 3, 3, 3, 3, 3, 4, 3, 2, 4, 0, 4, 3, 4, 3, 4, 2, 3, 1, 4, 4, 4, 2, 1, 2, 3, 3, 0, 0, 3, 3, 0, 1, 1, 3, 4, 2, 1, 0, 4, 3, 1, 4, 4, 3, 0, 1, 1, 1, 2, 3, 0, 3, 4, 0, 4, 0, 1, 4, 2, 1, 4, 1, 2, 2, 3, 0, 0, 0, 3, 4, 3, 3, 3, 1, 1, 3, 1, 4, 3, 1, 4, 4, 0, 3, 1, 3, 2, 3, 1, 1, 3, 1, 0, 2, 1, 1, 4, 2, 0, 0, 2, 3, 3, 3, 4, 3, 0, 4, 4, 4, 0, 3, 1, 1, 1, 0, 4, 2, 4, 4, 1, 1, 0, 4, 2, 0, 3, 0, 4, 1, 2, 3, 4, 0, 2, 3, 2, 4, 4, 3, 0, 4, 4, 3, 2, 1, 0, 1, 0, 1, 0, 4, 1, 4, 1, 3, 4, 2, 0, 2, 0, 1, 0, 2, 3, 3, 4, 2, 2, 4, 4, 1, 0, 0] pubkeycol1081 = [3, 2, 1, 2, 4, 1, 0, 1, 1, 1, 4, 0, 1, 2, 4, 0, 4, 2, 0, 2, 1, 0, 4, 3, 2, 2, 0, 1, 2, 4, 4, 1, 2, 0, 0, 4, 0, 2, 3, 0, 1, 1, 3, 4, 0, 2, 1, 4, 2, 0, 3, 1, 4, 1, 2, 0, 2, 3, 1, 0, 4, 1, 2, 1, 4, 1, 3, 0, 4, 4, 1, 1, 3, 3, 0, 3, 2, 0, 3, 0, 4, 0, 4, 4, 3, 1, 0, 1, 4, 2, 0, 2, 2, 4, 4, 3, 4, 2, 3, 4, 0, 4, 4, 3, 3, 1, 3, 4, 2, 4, 3, 0, 4, 1, 1, 1, 2, 1, 1, 4, 4, 1, 2, 1, 1, 3, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 3, 1, 4, 4, 0, 4, 2, 3, 2, 3, 4, 4, 3, 0, 4, 4, 0, 0, 0, 1, 1, 1, 0, 1, 3, 3, 0, 4, 1, 1, 2, 1, 1, 3, 0, 0, 0, 2, 4, 3, 0, 1, 1, 1, 4, 1, 0, 1, 1, 4, 1, 2, 4, 3, 3, 2, 3, 0, 0, 0, 2, 4, 0, 3, 4, 2, 0, 1, 4, 1, 0, 3, 3, 4, 0, 3, 2, 4, 0, 4, 3, 3, 1, 3, 1, 4, 1, 3, 0, 3, 3, 0, 2, 1, 3, 3, 4, 1, 3, 2, 1, 0, 2, 0, 1, 1, 0, 4, 4, 3, 2, 0, 3, 3, 1, 3, 1, 1, 0, 2, 0, 3, 2, 2, 0, 3, 0, 1, 1, 1, 4, 2, 1, 1, 0, 1, 3, 1, 3, 1, 0, 4, 2, 3, 3, 0, 1, 1, 4, 4, 0, 1, 3, 0, 1, 3, 3, 3, 2, 1, 3, 4, 1, 0, 2, 4, 1, 3, 3, 1, 0, 3, 3, 0, 3, 3, 0, 4, 3, 0, 4, 3, 0, 2] pubkeycol1082 = [0, 0, 1, 4, 4, 1, 2, 1, 0, 3, 3, 4, 1, 2, 4, 3, 4, 0, 1, 1, 3, 1, 1, 3, 2, 1, 4, 3, 3, 0, 2, 4, 4, 2, 3, 4, 4, 0, 2, 2, 2, 1, 1, 3, 3, 1, 4, 2, 3, 4, 2, 2, 1, 4, 2, 3, 4, 4, 1, 0, 2, 3, 1, 1, 4, 0, 2, 1, 4, 3, 2, 3, 2, 1, 4, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 3, 4, 0, 4, 0, 3, 1, 4, 2, 4, 0, 1, 4, 2, 3, 3, 3, 3, 4, 1, 0, 1, 3, 3, 3, 3, 3, 2, 0, 2, 2, 1, 4, 2, 4, 0, 2, 3, 2, 2, 4, 2, 2, 4, 3, 0, 0, 2, 4, 3, 2, 0, 1, 0, 4, 4, 3, 3, 1, 1, 4, 1, 2, 4, 1, 2, 0, 3, 0, 4, 4, 2, 1, 2, 3, 2, 1, 0, 4, 0, 4, 0, 1, 0, 3, 2, 2, 1, 4, 4, 2, 0, 3, 3, 3, 4, 2, 2, 3, 3, 0, 1, 0, 0, 0, 4, 3, 3, 1, 1, 3, 1, 0, 1, 4, 1, 1, 1, 1, 2, 4, 0, 2, 0, 4, 2, 2, 4, 0, 3, 0, 4, 0, 2, 4, 3, 4, 2, 1, 4, 2, 1, 0, 4, 3, 1, 3, 1, 3, 3, 0, 3, 0, 4, 3, 4, 2, 4, 4, 0, 3, 3, 3, 0, 4, 4, 1, 4, 1, 0, 2, 4, 3, 3, 1, 4, 4, 1, 3, 3, 3, 3, 2, 0, 0, 0, 1, 4, 4, 2, 4, 0, 3, 0, 2, 2, 4, 0, 1, 0, 2, 2, 3, 0, 4, 4, 1, 1, 0, 2, 1, 0, 1, 4, 2, 0, 2, 1, 2, 4, 1, 3, 2, 4, 4, 2, 0, 3, 0, 2, 1, 3, 0, 2, 3] pubkeycol1083 = [3, 3, 1, 1, 1, 2, 3, 1, 4, 1, 0, 3, 4, 0, 3, 4, 3, 3, 2, 2, 3, 0, 1, 0, 4, 3, 2, 1, 0, 0, 2, 0, 3, 4, 4, 4, 4, 2, 3, 0, 2, 0, 4, 1, 0, 0, 4, 2, 4, 2, 1, 4, 2, 2, 3, 3, 0, 1, 1, 0, 0, 3, 2, 4, 1, 1, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 3, 3, 3, 2, 0, 2, 0, 2, 4, 4, 0, 3, 3, 3, 4, 4, 1, 2, 2, 2, 1, 3, 0, 4, 0, 3, 2, 4, 1, 4, 1, 0, 3, 1, 2, 3, 0, 2, 0, 3, 3, 2, 0, 3, 2, 2, 3, 0, 2, 2, 0, 4, 0, 0, 0, 1, 0, 1, 4, 1, 2, 0, 4, 4, 0, 3, 1, 1, 3, 3, 2, 1, 2, 0, 3, 0, 1, 3, 0, 1, 3, 0, 2, 2, 1, 1, 2, 0, 0, 4, 3, 2, 1, 4, 0, 2, 0, 1, 0, 2, 4, 3, 3, 0, 4, 2, 0, 3, 0, 0, 0, 4, 4, 3, 0, 1, 4, 2, 4, 4, 1, 2, 0, 0, 0, 4, 3, 2, 4, 1, 4, 1, 4, 0, 4, 4, 3, 2, 1, 4, 0, 0, 4, 4, 3, 2, 1, 4, 1, 1, 4, 3, 4, 1, 2, 1, 1, 1, 4, 4, 0, 3, 0, 1, 4, 0, 3, 3, 0, 2, 1, 1, 2, 0, 4, 2, 4, 4, 3, 3, 4, 1, 1, 1, 2, 4, 3, 2, 0, 0, 3, 1, 3, 4, 3, 3, 0, 3, 2, 0, 1, 0, 1, 4, 0, 3, 4, 2, 4, 3, 3, 1, 4, 0, 3, 4, 2, 3, 4, 1, 4, 2, 0, 1, 4, 1, 1, 4, 1, 4, 0, 3, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 0] pubkeycol1084 = [2, 3, 3, 2, 3, 0, 1, 2, 0, 0, 2, 3, 3, 2, 1, 4, 0, 2, 1, 1, 2, 3, 1, 1, 2, 2, 1, 1, 1, 3, 2, 3, 3, 0, 3, 0, 2, 2, 2, 3, 3, 3, 3, 3, 2, 0, 1, 0, 3, 2, 1, 2, 4, 2, 1, 1, 2, 4, 4, 1, 0, 1, 3, 2, 2, 1, 4, 4, 0, 0, 4, 0, 2, 3, 1, 4, 4, 1, 4, 2, 2, 4, 1, 2, 1, 0, 4, 1, 0, 1, 1, 0, 1, 4, 0, 0, 1, 0, 0, 2, 1, 0, 2, 3, 2, 4, 4, 3, 2, 4, 0, 0, 1, 2, 3, 4, 3, 3, 1, 4, 3, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 3, 0, 4, 2, 4, 4, 1, 1, 4, 1, 1, 2, 0, 4, 0, 0, 4, 1, 3, 0, 0, 4, 4, 4, 1, 4, 0, 4, 1, 2, 3, 2, 1, 3, 1, 2, 3, 0, 2, 1, 2, 0, 2, 4, 0, 0, 4, 3, 0, 2, 1, 4, 2, 4, 1, 2, 3, 2, 4, 3, 3, 0, 2, 0, 0, 4, 4, 4, 2, 0, 1, 3, 2, 0, 1, 2, 3, 2, 4, 2, 2, 2, 3, 1, 3, 1, 3, 1, 4, 3, 0, 4, 4, 1, 0, 2, 2, 4, 0, 0, 1, 2, 3, 4, 2, 1, 4, 0, 3, 2, 2, 2, 3, 0, 4, 4, 0, 3, 3, 3, 4, 2, 1, 3, 4, 2, 4, 2, 1, 0, 2, 3, 4, 1, 0, 4, 4, 4, 0, 1, 4, 0, 2, 2, 2, 0, 3, 2, 4, 0, 4, 2, 0, 0, 2, 4, 0, 4, 2, 3, 1, 3, 3, 0, 0, 4, 0, 3, 1, 2, 2, 4, 1, 3, 0, 3, 0, 0, 4, 0, 2, 3, 4, 0, 2, 2, 0, 2, 3] pubkeycol1085 = [3, 4, 0, 0, 0, 4, 4, 4, 4, 0, 1, 3, 0, 3, 2, 1, 3, 2, 4, 1, 3, 0, 2, 4, 0, 0, 1, 3, 2, 0, 4, 1, 3, 3, 1, 3, 4, 4, 4, 3, 2, 2, 2, 2, 2, 3, 0, 4, 3, 0, 4, 0, 2, 0, 2, 4, 0, 4, 4, 0, 1, 2, 1, 2, 2, 0, 1, 3, 1, 0, 1, 2, 1, 1, 3, 4, 2, 2, 0, 2, 0, 0, 2, 1, 4, 3, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 1, 2, 4, 2, 1, 0, 3, 0, 2, 2, 0, 0, 4, 1, 0, 0, 4, 3, 3, 3, 1, 4, 3, 4, 2, 1, 4, 2, 3, 1, 4, 4, 0, 4, 3, 2, 4, 2, 4, 4, 1, 4, 2, 3, 2, 0, 4, 2, 1, 2, 1, 2, 3, 1, 2, 0, 3, 3, 4, 3, 1, 1, 0, 2, 1, 3, 4, 1, 2, 0, 0, 2, 0, 4, 3, 2, 1, 3, 4, 1, 1, 2, 2, 4, 3, 1, 1, 0, 1, 2, 3, 4, 2, 3, 3, 2, 1, 2, 2, 0, 3, 2, 4, 4, 4, 1, 4, 1, 2, 4, 3, 1, 0, 1, 2, 0, 1, 4, 1, 2, 2, 4, 2, 0, 4, 3, 3, 1, 2, 0, 2, 0, 3, 4, 0, 0, 1, 0, 4, 2, 3, 4, 2, 0, 4, 0, 4, 3, 4, 1, 0, 0, 1, 4, 4, 2, 0, 3, 2, 4, 2, 0, 0, 4, 2, 2, 2, 1, 4, 0, 3, 1, 1, 3, 0, 4, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 4, 3, 2, 0, 0, 4, 2, 1, 2, 3, 0, 4, 0, 2, 3, 4, 1, 0, 2, 4, 3, 0, 1, 3, 0, 2, 1, 4, 1, 0, 3, 0, 0, 1, 3] pubkeycol1086 = [3, 0, 4, 0, 4, 1, 4, 3, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 3, 2, 1, 4, 1, 2, 3, 0, 1, 0, 0, 1, 1, 1, 1, 3, 4, 0, 4, 3, 1, 0, 3, 2, 4, 4, 1, 2, 0, 4, 0, 0, 4, 1, 1, 1, 2, 4, 4, 1, 4, 0, 1, 0, 2, 4, 1, 4, 2, 0, 2, 0, 4, 0, 1, 0, 3, 4, 0, 4, 0, 0, 1, 4, 1, 3, 2, 2, 2, 0, 0, 3, 1, 0, 4, 0, 1, 2, 4, 1, 2, 1, 4, 0, 0, 2, 4, 1, 4, 1, 4, 4, 2, 1, 2, 2, 0, 4, 4, 4, 1, 1, 2, 0, 0, 0, 0, 3, 3, 2, 2, 3, 2, 3, 1, 1, 3, 1, 3, 2, 4, 0, 2, 0, 2, 3, 3, 0, 0, 1, 4, 2, 1, 3, 4, 2, 3, 2, 2, 1, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 0, 0, 0, 4, 1, 2, 3, 3, 1, 4, 3, 0, 0, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 3, 2, 3, 2, 3, 4, 1, 4, 0, 2, 0, 4, 0, 3, 4, 2, 1, 0, 4, 4, 2, 1, 0, 4, 1, 4, 4, 2, 4, 1, 2, 2, 4, 0, 3, 4, 3, 3, 2, 4, 4, 0, 4, 4, 2, 3, 0, 4, 4, 0, 2, 3, 4, 4, 2, 2, 0, 2, 3, 4, 4, 0, 3, 2, 0, 3, 3, 0, 4, 3, 0, 2, 0, 1, 2, 3, 0, 4, 2, 4, 2, 3, 2, 1, 0, 2, 3, 0, 3, 2, 0, 4, 2, 0, 2, 3, 1, 0, 4, 2, 2, 4, 4, 0, 2, 0, 0, 4, 2, 1, 4, 2, 0, 2, 4, 1, 0, 2, 2, 4, 3, 4, 0] pubkeycol1087 = [1, 2, 2, 1, 0, 4, 1, 2, 4, 3, 0, 0, 1, 4, 0, 3, 1, 4, 3, 4, 2, 3, 2, 1, 0, 3, 4, 3, 0, 1, 2, 0, 0, 1, 2, 2, 1, 3, 0, 4, 3, 1, 3, 1, 1, 1, 3, 1, 2, 4, 1, 4, 0, 0, 4, 4, 2, 2, 3, 4, 0, 1, 2, 3, 1, 2, 3, 1, 4, 4, 3, 4, 2, 0, 0, 3, 4, 1, 1, 3, 2, 3, 0, 2, 4, 3, 1, 2, 4, 0, 3, 0, 4, 0, 2, 1, 3, 1, 4, 2, 3, 2, 3, 1, 2, 3, 2, 4, 2, 0, 1, 2, 0, 1, 0, 3, 2, 3, 1, 0, 0, 3, 1, 1, 1, 2, 0, 0, 0, 4, 2, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 4, 2, 0, 0, 0, 4, 2, 1, 4, 1, 4, 3, 0, 1, 3, 2, 0, 4, 2, 1, 1, 3, 1, 2, 3, 1, 3, 3, 2, 0, 0, 0, 4, 4, 0, 0, 4, 1, 3, 2, 2, 1, 2, 4, 1, 1, 2, 1, 1, 0, 2, 3, 3, 1, 2, 0, 0, 4, 0, 3, 3, 1, 1, 1, 4, 0, 4, 2, 3, 3, 0, 0, 1, 3, 4, 1, 2, 4, 2, 4, 2, 0, 0, 3, 1, 0, 4, 2, 1, 2, 1, 4, 1, 2, 4, 3, 0, 0, 0, 1, 3, 1, 1, 2, 2, 0, 4, 2, 4, 0, 2, 4, 4, 0, 0, 4, 1, 2, 0, 1, 1, 2, 3, 4, 3, 4, 4, 4, 0, 4, 2, 0, 3, 0, 1, 3, 0, 0, 1, 0, 3, 3, 2, 3, 1, 1, 3, 0, 3, 2, 3, 2, 0, 1, 0, 4, 0, 4, 0, 3, 4, 3, 1, 0, 2, 1, 4, 4, 1, 3, 4, 4, 0, 4, 3, 4, 0, 0, 2] pubkeycol1088 = [2, 1, 0, 2, 1, 2, 4, 1, 4, 1, 4, 1, 3, 1, 2, 4, 2, 4, 0, 4, 0, 1, 1, 0, 0, 4, 2, 2, 4, 3, 1, 2, 2, 3, 2, 1, 1, 4, 4, 0, 2, 3, 2, 2, 3, 2, 4, 4, 4, 2, 0, 2, 3, 2, 3, 1, 2, 0, 2, 3, 2, 0, 4, 2, 0, 4, 2, 4, 4, 1, 0, 3, 0, 1, 1, 0, 3, 2, 4, 4, 1, 4, 3, 4, 4, 4, 1, 1, 0, 2, 3, 0, 4, 3, 4, 4, 4, 3, 4, 0, 4, 4, 3, 0, 2, 0, 4, 4, 0, 1, 3, 4, 4, 4, 4, 2, 2, 0, 0, 1, 0, 1, 4, 2, 4, 3, 1, 3, 4, 4, 1, 1, 0, 3, 4, 2, 3, 1, 1, 4, 1, 0, 0, 0, 0, 1, 3, 0, 4, 1, 4, 3, 0, 4, 1, 4, 1, 3, 4, 3, 3, 1, 1, 2, 4, 4, 2, 4, 2, 4, 2, 2, 2, 2, 2, 4, 2, 1, 4, 2, 0, 2, 3, 1, 4, 2, 4, 1, 1, 2, 1, 0, 4, 1, 4, 0, 4, 1, 0, 1, 4, 4, 1, 4, 0, 2, 0, 2, 3, 3, 2, 2, 2, 1, 3, 2, 0, 4, 4, 0, 3, 0, 1, 1, 1, 2, 4, 3, 4, 2, 2, 0, 3, 1, 3, 0, 1, 3, 0, 2, 4, 3, 0, 3, 0, 4, 4, 0, 0, 0, 0, 3, 3, 4, 3, 1, 3, 1, 0, 0, 3, 4, 1, 2, 4, 1, 1, 1, 0, 1, 1, 1, 2, 4, 2, 3, 4, 4, 1, 4, 0, 1, 0, 1, 1, 0, 3, 1, 0, 1, 4, 2, 1, 1, 0, 1, 0, 3, 2, 3, 2, 1, 2, 1, 0, 4, 3, 0, 3, 3, 1, 3, 0, 2, 3, 0, 4, 2, 2, 3] pubkeycol1089 = [2, 3, 2, 1, 3, 4, 0, 1, 4, 0, 2, 4, 1, 3, 3, 3, 1, 3, 2, 0, 1, 0, 2, 4, 4, 1, 4, 3, 2, 4, 2, 0, 1, 3, 2, 0, 2, 3, 3, 0, 3, 4, 1, 1, 2, 0, 4, 2, 4, 2, 2, 2, 0, 2, 0, 1, 2, 3, 2, 4, 0, 4, 3, 2, 4, 3, 3, 4, 3, 2, 1, 0, 4, 0, 0, 1, 1, 2, 0, 4, 2, 1, 3, 1, 0, 2, 1, 4, 2, 3, 2, 1, 3, 2, 2, 0, 4, 0, 2, 4, 0, 0, 1, 3, 4, 0, 4, 1, 4, 2, 4, 2, 2, 1, 3, 0, 2, 1, 2, 0, 0, 1, 2, 4, 4, 2, 3, 3, 3, 3, 4, 1, 3, 1, 0, 2, 4, 2, 3, 4, 1, 3, 2, 1, 4, 4, 1, 4, 3, 3, 4, 2, 0, 4, 0, 3, 0, 2, 4, 0, 4, 4, 1, 2, 3, 2, 4, 3, 2, 0, 4, 2, 1, 1, 3, 0, 3, 0, 2, 2, 4, 2, 4, 4, 4, 4, 0, 3, 1, 1, 4, 2, 2, 4, 2, 3, 0, 3, 2, 2, 1, 0, 0, 0, 4, 2, 3, 0, 4, 0, 1, 0, 3, 0, 2, 3, 3, 1, 4, 0, 0, 0, 2, 2, 3, 2, 0, 4, 2, 3, 1, 3, 2, 2, 2, 1, 3, 1, 0, 3, 0, 2, 4, 3, 0, 3, 3, 4, 4, 4, 2, 4, 4, 2, 3, 3, 3, 1, 2, 3, 3, 4, 3, 4, 1, 3, 2, 0, 4, 0, 3, 0, 1, 2, 3, 1, 0, 4, 1, 3, 1, 4, 3, 4, 3, 3, 0, 1, 1, 0, 3, 1, 3, 2, 1, 4, 2, 1, 4, 4, 1, 0, 4, 3, 3, 2, 2, 2, 3, 0, 4, 0, 2, 0, 0, 1, 0, 4, 4, 2] pubkeycol1090 = [0, 3, 1, 3, 2, 3, 1, 2, 0, 1, 2, 0, 3, 0, 0, 2, 4, 3, 1, 2, 3, 3, 1, 3, 3, 0, 4, 3, 0, 1, 0, 0, 0, 4, 0, 4, 0, 0, 2, 2, 4, 1, 4, 4, 3, 1, 1, 4, 2, 1, 1, 4, 2, 0, 2, 4, 3, 4, 4, 4, 2, 3, 4, 0, 4, 4, 0, 3, 4, 0, 2, 3, 0, 3, 1, 3, 0, 1, 4, 3, 2, 0, 3, 1, 4, 1, 1, 4, 1, 2, 4, 2, 4, 3, 1, 3, 1, 4, 0, 0, 3, 1, 3, 1, 1, 0, 2, 1, 0, 1, 3, 3, 0, 4, 2, 2, 0, 4, 3, 4, 2, 1, 1, 3, 2, 1, 3, 1, 2, 2, 4, 3, 4, 2, 3, 4, 3, 1, 1, 2, 4, 2, 1, 2, 3, 4, 4, 1, 3, 1, 4, 3, 3, 2, 2, 1, 3, 2, 4, 3, 3, 4, 4, 1, 2, 3, 0, 2, 4, 1, 0, 2, 2, 2, 2, 3, 3, 1, 2, 3, 1, 2, 4, 0, 0, 4, 2, 1, 1, 4, 0, 4, 2, 3, 3, 1, 3, 4, 4, 4, 0, 0, 0, 3, 2, 4, 3, 3, 2, 2, 3, 0, 2, 1, 0, 3, 2, 2, 1, 3, 0, 3, 3, 3, 4, 0, 0, 2, 3, 0, 3, 3, 0, 1, 0, 0, 2, 3, 1, 1, 1, 0, 2, 4, 1, 4, 2, 0, 1, 3, 1, 1, 4, 4, 3, 4, 0, 4, 3, 2, 1, 0, 2, 4, 3, 1, 3, 4, 4, 2, 3, 0, 1, 2, 2, 2, 3, 3, 4, 4, 2, 3, 1, 2, 3, 4, 0, 0, 0, 1, 2, 4, 4, 2, 1, 2, 1, 3, 3, 0, 2, 4, 3, 2, 3, 1, 3, 4, 3, 1, 3, 3, 1, 3, 1, 2, 2, 2, 3, 2] pubkeycol1091 = [3, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 3, 4, 0, 4, 1, 2, 3, 2, 2, 0, 2, 2, 4, 3, 0, 4, 2, 3, 3, 4, 0, 4, 4, 1, 1, 0, 4, 0, 3, 1, 0, 3, 1, 3, 4, 3, 0, 4, 3, 3, 3, 2, 3, 4, 0, 1, 4, 1, 4, 3, 3, 2, 2, 4, 4, 2, 1, 4, 4, 2, 2, 4, 2, 3, 0, 1, 4, 2, 4, 0, 2, 0, 4, 1, 1, 1, 0, 0, 4, 3, 2, 1, 4, 2, 4, 2, 3, 1, 1, 2, 4, 4, 2, 0, 1, 1, 2, 2, 4, 3, 1, 4, 3, 1, 3, 3, 3, 2, 3, 4, 1, 3, 1, 2, 0, 4, 1, 4, 1, 4, 1, 1, 4, 3, 4, 2, 0, 2, 4, 4, 2, 0, 0, 2, 2, 1, 2, 4, 1, 2, 0, 2, 0, 2, 3, 1, 3, 4, 1, 2, 1, 4, 2, 2, 0, 1, 2, 3, 0, 2, 0, 2, 1, 2, 3, 1, 3, 0, 2, 3, 1, 0, 3, 1, 3, 2, 1, 1, 0, 1, 2, 1, 4, 3, 1, 3, 0, 1, 4, 3, 2, 2, 0, 3, 0, 2, 4, 2, 4, 1, 0, 4, 2, 3, 2, 4, 2, 0, 1, 0, 0, 4, 3, 3, 2, 0, 4, 3, 4, 1, 3, 0, 0, 0, 3, 4, 2, 1, 2, 3, 4, 0, 1, 0, 1, 3, 4, 4, 3, 1, 2, 4, 1, 4, 0, 3, 2, 2, 4, 3, 4, 2, 1, 1, 4, 3, 4, 4, 4, 2, 3, 0, 4, 0, 1, 3, 4, 1, 2, 2, 2, 4, 0, 4, 1, 1, 3, 2, 3, 1, 1, 4, 4, 3, 4, 0, 1, 0, 2, 4, 2, 2, 2, 1, 1, 4, 4, 0, 3, 0, 0, 3, 1, 3, 4, 2, 4, 1, 4] pubkeycol1092 = [4, 4, 2, 2, 1, 3, 1, 4, 3, 3, 3, 3, 4, 1, 2, 2, 2, 3, 2, 3, 4, 2, 3, 4, 3, 0, 1, 4, 0, 1, 3, 0, 3, 0, 2, 0, 0, 0, 3, 1, 4, 1, 2, 1, 4, 0, 1, 1, 0, 2, 1, 4, 0, 3, 4, 3, 4, 2, 0, 1, 4, 0, 3, 4, 2, 3, 4, 3, 4, 3, 1, 2, 1, 4, 2, 3, 2, 3, 1, 0, 2, 2, 1, 4, 3, 4, 3, 3, 0, 3, 4, 4, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 4, 3, 3, 1, 0, 3, 4, 1, 3, 2, 2, 1, 1, 3, 4, 0, 4, 0, 1, 4, 4, 0, 4, 0, 3, 3, 1, 4, 0, 1, 1, 3, 3, 3, 4, 2, 2, 0, 4, 1, 2, 0, 0, 4, 2, 2, 2, 2, 0, 3, 2, 0, 4, 2, 3, 4, 1, 3, 2, 1, 3, 4, 1, 2, 1, 1, 3, 1, 1, 0, 0, 1, 4, 3, 2, 2, 4, 4, 0, 0, 4, 2, 2, 4, 0, 2, 0, 0, 1, 0, 2, 0, 4, 3, 1, 4, 3, 2, 2, 2, 0, 3, 0, 3, 2, 0, 1, 0, 1, 2, 0, 3, 0, 3, 3, 3, 4, 3, 0, 4, 0, 1, 0, 0, 4, 3, 4, 0, 3, 1, 2, 2, 4, 3, 0, 0, 0, 3, 1, 1, 0, 0, 4, 1, 3, 4, 2, 3, 2, 3, 1, 0, 0, 3, 3, 2, 3, 3, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 3, 4, 0, 4, 4, 0, 2, 2, 4, 0, 3, 2, 4, 3, 2, 2, 4, 1, 4, 3, 4, 3, 2, 4, 3, 1, 0, 3, 2, 3, 2, 4, 2, 1, 3, 1, 0, 1, 0, 1, 4, 0, 1, 2, 4, 3] pubkeycol1093 = [0, 4, 4, 2, 4, 0, 4, 0, 2, 4, 3, 2, 1, 2, 1, 1, 1, 3, 0, 3, 4, 0, 1, 4, 1, 1, 4, 0, 2, 3, 2, 2, 3, 2, 4, 1, 1, 2, 3, 0, 3, 0, 3, 1, 4, 2, 1, 3, 2, 2, 0, 0, 0, 0, 3, 0, 0, 0, 1, 2, 1, 3, 2, 3, 1, 3, 2, 4, 4, 2, 0, 2, 1, 1, 2, 2, 1, 3, 0, 1, 1, 3, 0, 3, 4, 2, 4, 0, 1, 3, 1, 0, 3, 1, 0, 0, 3, 2, 4, 1, 4, 2, 1, 0, 4, 3, 3, 0, 0, 2, 2, 2, 0, 0, 3, 3, 1, 2, 2, 4, 3, 4, 2, 1, 0, 3, 4, 2, 3, 0, 2, 3, 2, 2, 0, 3, 2, 1, 4, 4, 0, 3, 2, 0, 0, 4, 4, 1, 4, 4, 4, 2, 1, 2, 3, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 3, 1, 2, 3, 4, 4, 4, 3, 1, 1, 4, 4, 3, 2, 2, 4, 4, 2, 4, 1, 3, 3, 4, 3, 4, 3, 1, 4, 0, 1, 3, 3, 3, 2, 0, 4, 2, 4, 3, 3, 0, 4, 1, 3, 1, 3, 1, 4, 0, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 2, 2, 2, 4, 1, 0, 2, 0, 0, 0, 1, 4, 0, 1, 4, 2, 3, 1, 0, 1, 3, 3, 0, 2, 0, 2, 0, 2, 2, 3, 3, 0, 2, 3, 4, 0, 3, 2, 4, 1, 4, 3, 3, 0, 3, 0, 0, 2, 1, 1, 2, 2, 3, 0, 2, 3, 2, 4, 1, 1, 2, 4, 1, 3, 1, 3, 1, 0, 0, 4, 3, 4, 2, 3, 1, 4, 1, 1, 3, 4, 2, 2, 4, 1, 3, 0, 1, 2, 1] pubkeycol1094 = [0, 3, 4, 4, 2, 2, 0, 0, 4, 2, 0, 2, 4, 3, 2, 1, 1, 0, 4, 3, 3, 4, 2, 1, 4, 0, 0, 3, 1, 4, 3, 1, 3, 0, 4, 2, 4, 1, 2, 2, 1, 3, 4, 0, 4, 2, 4, 2, 4, 4, 0, 4, 3, 3, 0, 1, 0, 1, 3, 3, 3, 3, 2, 2, 1, 0, 4, 3, 0, 2, 1, 0, 3, 2, 3, 1, 1, 3, 2, 4, 2, 4, 1, 3, 1, 4, 4, 4, 0, 4, 3, 1, 2, 2, 4, 0, 3, 0, 4, 3, 4, 4, 2, 0, 4, 0, 1, 2, 4, 0, 1, 0, 0, 0, 1, 1, 3, 1, 0, 4, 1, 4, 0, 2, 2, 3, 3, 2, 2, 3, 1, 0, 1, 3, 1, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 4, 0, 2, 4, 3, 3, 3, 0, 0, 0, 4, 2, 3, 0, 3, 4, 3, 2, 2, 2, 1, 3, 4, 2, 2, 4, 0, 3, 4, 1, 1, 3, 3, 2, 0, 3, 2, 1, 1, 3, 1, 0, 0, 4, 0, 3, 2, 3, 1, 1, 3, 0, 3, 2, 1, 1, 0, 2, 3, 0, 1, 4, 2, 0, 1, 0, 3, 3, 3, 2, 3, 2, 0, 2, 4, 0, 1, 1, 0, 0, 3, 0, 1, 0, 1, 2, 2, 2, 3, 2, 2, 1, 4, 2, 4, 4, 0, 2, 1, 2, 2, 2, 1, 4, 4, 2, 3, 3, 4, 4, 0, 3, 1, 4, 2, 0, 3, 0, 2, 3, 1, 4, 1, 1, 0, 0, 1, 3, 3, 4, 4, 0, 0, 0, 1, 2, 3, 0, 2, 3, 0, 3, 1, 2, 0, 1, 0, 3, 0, 4, 1, 0, 1, 2, 4, 4, 0, 4, 0, 1, 2, 1, 3, 0, 4, 1, 2, 0, 4, 1, 4, 4, 1] pubkeycol1095 = [1, 4, 0, 3, 0, 3, 0, 3, 4, 4, 4, 0, 2, 4, 1, 2, 3, 3, 2, 4, 0, 2, 0, 3, 1, 4, 1, 0, 2, 1, 1, 3, 3, 1, 2, 1, 4, 1, 1, 0, 2, 4, 2, 2, 1, 4, 2, 2, 3, 3, 4, 3, 2, 3, 0, 4, 4, 4, 1, 0, 1, 2, 2, 3, 0, 2, 1, 1, 2, 4, 1, 2, 0, 3, 0, 2, 0, 2, 1, 2, 2, 0, 3, 2, 3, 4, 1, 1, 3, 0, 3, 1, 1, 0, 2, 4, 2, 4, 0, 4, 4, 1, 3, 1, 1, 4, 3, 0, 2, 0, 0, 1, 3, 3, 3, 2, 2, 1, 1, 1, 4, 0, 3, 2, 2, 1, 0, 3, 4, 0, 3, 2, 2, 4, 4, 0, 0, 3, 3, 1, 1, 1, 2, 3, 0, 1, 1, 4, 4, 0, 4, 0, 2, 0, 3, 0, 2, 1, 0, 2, 2, 4, 3, 2, 4, 2, 4, 0, 4, 0, 4, 1, 0, 4, 3, 3, 2, 4, 4, 1, 0, 0, 3, 2, 3, 1, 0, 4, 4, 3, 0, 2, 4, 0, 1, 4, 0, 1, 1, 1, 0, 4, 3, 0, 2, 4, 1, 3, 3, 4, 2, 2, 2, 1, 3, 2, 2, 2, 3, 4, 0, 0, 3, 1, 1, 1, 3, 1, 3, 4, 2, 0, 4, 1, 3, 0, 3, 4, 3, 1, 0, 3, 4, 4, 4, 4, 2, 2, 4, 2, 0, 0, 1, 1, 4, 2, 2, 3, 3, 1, 3, 4, 1, 4, 4, 1, 3, 3, 1, 3, 1, 0, 1, 0, 3, 2, 2, 2, 4, 3, 1, 4, 3, 4, 4, 4, 4, 0, 4, 3, 2, 0, 3, 1, 1, 2, 0, 2, 2, 4, 4, 4, 4, 4, 0, 2, 3, 0, 0, 2, 2, 0, 1, 1, 4, 1, 4, 1, 3, 0] pubkeycol1096 = [0, 0, 3, 2, 1, 0, 0, 1, 1, 2, 0, 2, 3, 1, 1, 1, 3, 0, 3, 4, 4, 3, 1, 1, 1, 0, 2, 3, 3, 3, 3, 1, 4, 4, 1, 0, 0, 0, 2, 1, 0, 0, 2, 3, 3, 1, 4, 2, 4, 4, 2, 2, 4, 3, 0, 3, 2, 0, 3, 1, 2, 3, 3, 1, 0, 0, 2, 0, 3, 3, 2, 0, 4, 2, 2, 2, 1, 2, 4, 3, 1, 0, 3, 2, 1, 2, 1, 4, 1, 2, 4, 2, 4, 4, 3, 0, 2, 4, 1, 4, 0, 2, 2, 2, 4, 4, 2, 2, 0, 1, 2, 1, 3, 4, 4, 0, 4, 3, 2, 4, 3, 3, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 3, 1, 4, 2, 0, 3, 1, 4, 3, 0, 2, 2, 4, 4, 4, 0, 3, 3, 0, 4, 4, 1, 4, 3, 2, 1, 0, 3, 4, 4, 0, 3, 4, 2, 2, 3, 4, 1, 1, 1, 4, 0, 4, 4, 4, 3, 4, 2, 0, 4, 2, 4, 2, 2, 0, 3, 2, 1, 0, 1, 0, 4, 0, 2, 4, 4, 0, 1, 4, 3, 3, 0, 1, 2, 3, 0, 4, 1, 3, 3, 1, 1, 4, 0, 3, 1, 0, 4, 3, 3, 1, 3, 0, 3, 1, 1, 4, 3, 3, 3, 0, 1, 4, 3, 1, 3, 3, 1, 3, 2, 3, 1, 3, 4, 0, 1, 3, 4, 1, 3, 0, 4, 2, 4, 2, 4, 1, 3, 1, 0, 3, 2, 1, 4, 1, 0, 4, 3, 3, 3, 2, 3, 3, 3, 3, 0, 3, 3, 4, 4, 3, 3, 3, 2, 3, 1, 3, 3, 0, 3, 2, 2, 2, 1, 0, 4, 4, 0, 2, 4, 4, 1, 2, 0, 4, 2, 3] pubkeycol1097 = [0, 3, 4, 1, 0, 0, 3, 1, 0, 1, 2, 4, 1, 3, 1, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 2, 0, 2, 2, 0, 3, 3, 0, 0, 4, 0, 0, 0, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 2, 3, 4, 4, 3, 1, 3, 2, 4, 0, 1, 4, 3, 3, 2, 3, 2, 3, 2, 4, 4, 2, 2, 1, 0, 3, 3, 3, 3, 3, 2, 0, 3, 0, 3, 4, 3, 1, 1, 3, 0, 3, 3, 4, 3, 0, 4, 3, 0, 3, 4, 2, 1, 0, 2, 1, 2, 2, 0, 1, 3, 4, 2, 4, 1, 3, 3, 2, 1, 2, 0, 4, 2, 4, 1, 0, 0, 4, 3, 4, 3, 4, 0, 0, 1, 4, 4, 2, 2, 3, 0, 4, 3, 2, 3, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 3, 4, 0, 2, 2, 3, 4, 3, 2, 4, 0, 3, 2, 2, 1, 4, 1, 4, 0, 3, 1, 1, 0, 0, 4, 4, 4, 2, 0, 1, 0, 0, 0, 0, 3, 2, 2, 0, 2, 3, 2, 2, 2, 4, 2, 3, 1, 3, 2, 2, 1, 4, 4, 0, 2, 3, 3, 4, 0, 2, 4, 4, 0, 2, 4, 1, 0, 1, 0, 2, 1, 4, 4, 4, 4, 4, 2, 2, 0, 3, 2, 1, 3, 0, 2, 2, 4, 2, 3, 3, 2, 4, 0, 1, 0, 1, 2, 0, 3, 2, 1, 1, 2, 0, 3, 1, 4, 0, 1, 1, 0, 1, 3, 1, 2, 1, 2, 2, 2, 3, 0, 1, 1, 1, 1, 4, 0, 0, 1, 0, 0, 1, 4, 1, 4, 3, 2, 3, 2, 1, 2, 2, 4, 4, 2, 0, 1, 0, 4, 4, 0, 3, 3, 1, 3, 2, 0, 1, 0, 1, 3, 0, 0, 3, 3, 3] pubkeycol1098 = [1, 3, 0, 2, 3, 2, 1, 4, 0, 2, 3, 2, 2, 4, 3, 0, 2, 4, 1, 1, 0, 0, 2, 3, 4, 4, 1, 3, 4, 1, 1, 0, 0, 2, 3, 2, 3, 1, 4, 2, 1, 1, 1, 1, 4, 4, 0, 1, 2, 0, 1, 0, 1, 1, 1, 4, 0, 4, 2, 1, 0, 2, 4, 4, 3, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 4, 3, 1, 2, 1, 0, 3, 4, 0, 0, 3, 1, 1, 0, 4, 3, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 3, 4, 2, 2, 3, 0, 2, 4, 2, 1, 4, 2, 0, 1, 3, 0, 4, 0, 1, 1, 2, 4, 3, 2, 2, 0, 2, 3, 1, 0, 2, 4, 3, 4, 2, 4, 4, 3, 0, 1, 4, 0, 0, 0, 1, 0, 3, 1, 1, 1, 3, 1, 0, 0, 2, 3, 4, 1, 2, 2, 0, 2, 3, 4, 2, 3, 1, 4, 1, 1, 3, 2, 3, 2, 3, 3, 2, 2, 3, 3, 0, 1, 4, 3, 0, 4, 2, 3, 2, 3, 3, 1, 2, 2, 2, 3, 0, 2, 3, 0, 1, 2, 1, 3, 2, 2, 1, 2, 0, 4, 0, 3, 1, 0, 2, 3, 1, 1, 4, 4, 3, 4, 4, 0, 4, 3, 0, 4, 3, 1, 3, 0, 3, 1, 3, 2, 2, 3, 3, 4, 4, 3, 2, 1, 3, 0, 4, 1, 3, 4, 0, 4, 2, 3, 1, 4, 3, 4, 3, 4, 1, 3, 2, 4, 0, 2, 2, 3, 3, 0, 1, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 2, 2, 0, 4, 1, 4, 3, 3, 3, 3, 0, 0, 4, 1, 1, 2, 2, 4, 2, 0, 0, 0, 3, 2, 4, 3, 1, 1, 3, 4, 1, 1, 3, 0, 0, 0, 0] pubkeycol1099 = [1, 0, 0, 2, 4, 1, 2, 4, 1, 2, 0, 3, 2, 2, 0, 0, 1, 0, 4, 4, 1, 2, 3, 0, 2, 1, 0, 0, 4, 4, 1, 3, 3, 4, 0, 2, 3, 4, 4, 2, 4, 4, 3, 1, 3, 2, 4, 4, 0, 2, 3, 3, 4, 3, 1, 0, 1, 3, 0, 4, 4, 1, 1, 4, 2, 0, 3, 0, 4, 1, 0, 2, 0, 1, 3, 0, 4, 3, 3, 1, 0, 1, 2, 0, 2, 3, 0, 0, 2, 3, 1, 2, 3, 1, 2, 2, 3, 0, 3, 1, 0, 2, 2, 3, 4, 3, 1, 1, 1, 0, 0, 4, 1, 2, 2, 2, 1, 2, 4, 0, 1, 1, 2, 4, 1, 2, 3, 4, 1, 0, 4, 0, 3, 3, 2, 1, 2, 4, 0, 0, 1, 2, 1, 1, 4, 2, 1, 1, 0, 3, 1, 3, 3, 4, 1, 3, 3, 3, 3, 0, 4, 1, 3, 4, 2, 1, 3, 1, 2, 0, 4, 0, 1, 0, 1, 1, 2, 4, 4, 3, 0, 3, 1, 1, 2, 2, 3, 4, 3, 4, 2, 3, 3, 4, 0, 2, 4, 1, 2, 0, 3, 3, 0, 2, 1, 1, 4, 4, 0, 1, 4, 4, 0, 1, 3, 3, 2, 0, 1, 4, 1, 3, 2, 2, 4, 0, 0, 4, 3, 4, 3, 4, 1, 4, 3, 3, 1, 0, 2, 2, 4, 1, 3, 4, 3, 3, 4, 2, 4, 3, 2, 4, 2, 1, 4, 4, 1, 2, 3, 2, 2, 2, 0, 4, 0, 1, 0, 4, 2, 4, 0, 0, 3, 4, 0, 4, 3, 4, 1, 0, 3, 2, 4, 0, 2, 4, 0, 0, 1, 2, 1, 1, 3, 1, 3, 0, 3, 3, 2, 3, 2, 0, 1, 3, 4, 4, 4, 4, 4, 4, 0, 1, 3, 2, 0, 3, 4, 3, 1, 2] pubkeycol1100 = [4, 2, 0, 4, 4, 3, 4, 0, 3, 2, 4, 3, 4, 0, 3, 3, 1, 2, 1, 1, 2, 2, 4, 3, 3, 4, 4, 2, 4, 0, 0, 2, 4, 3, 1, 0, 0, 0, 3, 3, 0, 0, 3, 1, 2, 0, 4, 2, 3, 2, 3, 2, 3, 1, 2, 4, 1, 3, 4, 3, 1, 2, 2, 3, 2, 3, 0, 4, 1, 4, 3, 4, 4, 3, 4, 2, 3, 0, 1, 0, 2, 2, 2, 1, 1, 2, 3, 1, 3, 1, 0, 2, 3, 2, 2, 4, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 3, 4, 4, 4, 3, 0, 1, 3, 1, 3, 0, 1, 3, 1, 0, 0, 0, 2, 0, 3, 1, 1, 0, 1, 4, 4, 4, 2, 0, 1, 4, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 1, 4, 3, 4, 1, 2, 0, 1, 0, 0, 4, 4, 1, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 0, 1, 2, 1, 1, 0, 1, 2, 2, 4, 1, 4, 0, 0, 2, 0, 0, 0, 1, 4, 1, 4, 1, 0, 2, 4, 4, 2, 1, 2, 0, 2, 4, 2, 2, 2, 1, 3, 0, 3, 0, 1, 3, 4, 0, 3, 1, 3, 1, 0, 4, 4, 2, 3, 0, 1, 4, 0, 3, 4, 3, 1, 3, 4, 0, 0, 2, 4, 0, 1, 1, 0, 2, 3, 0, 1, 0, 4, 2, 0, 2, 2, 2, 0, 2, 4, 2, 0, 4, 4, 2, 4, 4, 4, 0, 0, 2, 0, 3, 2, 4, 2, 2, 1, 1, 2, 4, 0, 0, 3, 0, 2, 2, 2, 4, 4, 0, 0, 2, 3, 4, 4, 0, 4, 2, 0, 0, 2, 4, 2, 0, 3, 0, 2, 3, 2, 1, 3, 1, 3, 2, 1, 2, 2, 3, 3, 0, 3] pubkeycol1101 = [2, 3, 2, 0, 4, 3, 1, 4, 3, 0, 2, 3, 1, 2, 0, 1, 0, 2, 1, 3, 1, 4, 2, 2, 0, 4, 4, 4, 1, 1, 0, 3, 0, 3, 2, 3, 4, 3, 0, 0, 0, 4, 4, 1, 2, 1, 0, 2, 1, 3, 2, 4, 4, 2, 3, 4, 0, 2, 1, 0, 1, 4, 3, 1, 1, 1, 0, 3, 1, 2, 0, 2, 0, 0, 1, 2, 2, 3, 3, 1, 0, 1, 4, 0, 0, 3, 0, 3, 4, 0, 3, 1, 2, 3, 0, 2, 2, 1, 4, 3, 0, 1, 4, 4, 3, 3, 0, 1, 1, 3, 0, 3, 3, 4, 2, 0, 4, 1, 0, 2, 3, 4, 3, 4, 3, 3, 2, 0, 0, 1, 1, 4, 1, 0, 3, 2, 3, 0, 2, 3, 3, 3, 3, 1, 2, 4, 0, 3, 3, 3, 0, 0, 0, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 4, 1, 4, 2, 4, 4, 3, 4, 0, 0, 2, 2, 2, 3, 0, 4, 1, 0, 0, 0, 1, 2, 4, 2, 1, 4, 1, 0, 1, 1, 3, 0, 0, 4, 1, 2, 3, 0, 3, 3, 0, 3, 0, 1, 1, 1, 3, 0, 4, 2, 4, 2, 4, 4, 4, 0, 2, 2, 4, 0, 3, 0, 4, 3, 2, 3, 1, 4, 1, 3, 3, 1, 3, 3, 4, 2, 2, 0, 1, 0, 3, 2, 1, 3, 4, 4, 2, 3, 2, 2, 3, 2, 1, 3, 0, 4, 1, 0, 1, 4, 3, 3, 0, 2, 0, 4, 4, 2, 3, 2, 2, 4, 4, 4, 4, 3, 4, 4, 0, 4, 2, 2, 0, 3, 1, 4, 1, 2, 1, 0, 2, 3, 0, 4, 1, 2, 1, 2, 4, 0, 4, 2, 0, 0, 2, 3, 3, 3, 3, 0, 1, 3, 3, 4, 0, 1, 0] pubkeycol1102 = [3, 3, 1, 2, 0, 1, 0, 3, 2, 3, 2, 2, 3, 0, 3, 2, 1, 2, 1, 3, 1, 0, 3, 1, 3, 0, 0, 0, 0, 4, 2, 3, 1, 0, 1, 0, 4, 4, 0, 4, 1, 1, 3, 2, 0, 4, 0, 2, 3, 3, 4, 2, 3, 0, 3, 3, 2, 4, 3, 2, 0, 3, 0, 4, 2, 0, 0, 2, 4, 0, 4, 4, 1, 0, 3, 4, 3, 2, 0, 2, 3, 1, 4, 3, 4, 2, 1, 1, 2, 4, 4, 1, 4, 4, 4, 2, 3, 0, 0, 4, 4, 2, 0, 0, 3, 4, 0, 1, 4, 0, 3, 4, 2, 2, 0, 2, 4, 3, 3, 2, 1, 3, 1, 1, 0, 2, 0, 0, 4, 3, 0, 0, 2, 3, 4, 3, 3, 4, 1, 1, 3, 1, 0, 3, 2, 4, 0, 2, 2, 0, 0, 2, 2, 1, 3, 3, 3, 3, 0, 4, 1, 2, 4, 2, 1, 4, 2, 4, 4, 3, 0, 2, 1, 1, 0, 1, 2, 2, 2, 3, 4, 1, 1, 3, 4, 3, 1, 0, 4, 3, 3, 0, 3, 1, 4, 4, 1, 2, 3, 4, 2, 4, 3, 1, 4, 3, 0, 1, 0, 2, 0, 0, 1, 3, 0, 2, 4, 1, 0, 4, 4, 1, 4, 0, 2, 3, 4, 3, 3, 2, 1, 1, 0, 3, 4, 2, 3, 0, 1, 3, 0, 0, 2, 2, 4, 2, 0, 4, 0, 1, 1, 1, 3, 0, 2, 4, 2, 2, 4, 2, 3, 3, 0, 4, 1, 0, 1, 2, 3, 0, 2, 3, 1, 0, 4, 2, 3, 0, 1, 3, 3, 2, 1, 2, 4, 4, 3, 0, 4, 3, 2, 3, 3, 3, 0, 4, 4, 3, 3, 2, 4, 2, 3, 0, 4, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 3, 1, 3] pubkeycol1103 = [0, 1, 1, 0, 1, 2, 3, 4, 4, 1, 3, 3, 1, 4, 4, 1, 0, 0, 1, 4, 1, 0, 0, 2, 2, 3, 2, 1, 0, 3, 1, 4, 3, 1, 2, 0, 0, 1, 2, 0, 4, 2, 3, 2, 3, 0, 3, 1, 2, 2, 2, 1, 4, 2, 3, 2, 4, 2, 3, 2, 1, 3, 4, 4, 1, 4, 3, 1, 3, 1, 4, 1, 0, 4, 4, 2, 2, 0, 3, 2, 0, 1, 3, 0, 0, 3, 3, 1, 1, 2, 2, 4, 2, 3, 1, 1, 2, 4, 2, 0, 0, 2, 4, 4, 0, 1, 1, 4, 2, 2, 3, 2, 1, 2, 1, 0, 0, 2, 4, 2, 3, 4, 2, 0, 3, 0, 4, 3, 1, 3, 1, 0, 4, 3, 0, 0, 3, 4, 3, 2, 2, 0, 4, 1, 1, 2, 2, 4, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 2, 4, 4, 4, 4, 0, 1, 2, 0, 3, 2, 3, 1, 4, 4, 0, 0, 1, 3, 2, 4, 4, 4, 1, 1, 2, 3, 0, 1, 4, 0, 3, 2, 2, 0, 3, 0, 1, 2, 0, 4, 4, 0, 3, 2, 0, 1, 3, 2, 3, 0, 0, 0, 1, 2, 1, 1, 1, 1, 3, 3, 3, 4, 1, 3, 1, 0, 4, 2, 1, 2, 2, 0, 0, 2, 1, 0, 3, 2, 4, 0, 0, 3, 3, 1, 3, 4, 1, 4, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 4, 1, 3, 0, 4, 4, 3, 4, 3, 2, 1, 3, 3, 2, 4, 0, 2, 2, 3, 3, 2, 3, 0, 4, 0, 4, 2, 4, 4, 2, 4, 2, 3, 1, 1, 1, 4, 4, 4, 2, 3, 1, 0, 1, 1, 4, 4] pubkeycol1104 = [0, 1, 3, 4, 0, 3, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 4, 4, 3, 1, 0, 3, 4, 3, 3, 1, 1, 3, 3, 3, 0, 0, 4, 1, 3, 4, 3, 1, 3, 3, 1, 1, 1, 3, 3, 1, 3, 0, 4, 0, 3, 0, 3, 3, 1, 0, 1, 2, 0, 1, 2, 3, 3, 3, 2, 3, 0, 4, 4, 0, 1, 2, 3, 4, 0, 2, 4, 1, 0, 0, 3, 0, 1, 3, 4, 0, 4, 4, 3, 3, 1, 4, 0, 2, 0, 3, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 3, 2, 1, 3, 2, 4, 1, 2, 4, 3, 4, 4, 2, 4, 2, 0, 3, 3, 0, 0, 1, 3, 0, 4, 3, 2, 2, 1, 1, 4, 4, 3, 4, 2, 2, 3, 1, 3, 1, 3, 4, 4, 1, 2, 3, 4, 3, 4, 4, 3, 3, 3, 4, 3, 4, 0, 3, 4, 0, 1, 4, 4, 4, 2, 2, 0, 4, 0, 3, 2, 1, 3, 0, 1, 2, 1, 2, 3, 1, 4, 1, 3, 2, 4, 4, 4, 2, 4, 3, 1, 1, 0, 1, 1, 2, 2, 4, 4, 2, 3, 3, 2, 3, 3, 4, 4, 3, 1, 2, 4, 0, 3, 3, 3, 0, 2, 3, 2, 2, 1, 1, 1, 0, 3, 0, 3, 4, 4, 0, 2, 1, 3, 0, 0, 3, 4, 1, 0, 4, 3, 0, 2, 1, 2, 2, 1, 1, 2, 1, 4, 3, 1, 0, 0, 0, 4, 4, 1, 3, 4, 2, 1, 4, 1, 4, 0, 2, 2, 2, 4, 1, 1, 4, 1, 2, 1, 4, 2, 2, 3, 1, 1, 0, 2, 3, 1, 4, 2, 4, 3, 3, 3, 3, 0, 0, 1, 4, 4, 2, 2, 2, 1, 4, 0, 1, 4, 1, 2, 1, 3, 3, 1] pubkeycol1105 = [3, 3, 3, 4, 1, 3, 1, 1, 1, 3, 3, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 0, 2, 0, 0, 4, 3, 3, 4, 3, 1, 3, 3, 2, 2, 4, 3, 0, 2, 4, 2, 2, 4, 1, 3, 4, 4, 2, 0, 3, 4, 2, 4, 1, 3, 4, 0, 4, 1, 1, 0, 3, 0, 1, 3, 0, 3, 3, 1, 3, 3, 4, 2, 3, 4, 1, 2, 1, 1, 2, 3, 1, 3, 3, 1, 1, 2, 0, 0, 2, 0, 4, 4, 1, 1, 3, 4, 1, 4, 4, 3, 0, 4, 2, 1, 2, 2, 0, 3, 2, 2, 0, 0, 0, 4, 3, 3, 3, 2, 4, 1, 3, 0, 2, 4, 0, 3, 2, 0, 1, 1, 4, 4, 0, 1, 1, 2, 0, 1, 2, 1, 3, 4, 0, 2, 1, 2, 1, 4, 4, 1, 1, 3, 3, 0, 2, 2, 0, 0, 3, 1, 4, 0, 0, 2, 2, 2, 3, 3, 2, 0, 4, 4, 0, 4, 1, 1, 2, 2, 4, 0, 0, 4, 0, 2, 0, 1, 1, 4, 2, 2, 4, 0, 1, 0, 3, 3, 1, 1, 4, 4, 4, 3, 1, 1, 0, 2, 4, 0, 4, 3, 4, 0, 1, 0, 0, 2, 2, 1, 4, 3, 4, 3, 1, 1, 0, 1, 3, 2, 3, 3, 0, 3, 3, 1, 3, 2, 3, 4, 4, 2, 4, 1, 0, 1, 1, 4, 3, 2, 1, 2, 2, 1, 1, 3, 3, 0, 4, 2, 3, 1, 1, 1, 4, 4, 0, 4, 2, 3, 1, 4, 4, 3, 2, 3, 3, 0, 3, 1, 2, 2, 4, 2, 2, 1, 3, 1, 2, 3, 4, 4, 0, 1, 2, 4, 4, 4, 3, 3, 1, 1, 0, 0, 4, 3, 4, 2, 4, 3, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 3] pubkeycol1106 = [3, 1, 2, 1, 2, 4, 2, 3, 3, 3, 3, 0, 4, 2, 4, 1, 4, 3, 0, 4, 1, 0, 4, 2, 3, 2, 1, 3, 0, 2, 4, 1, 3, 2, 1, 1, 2, 2, 0, 2, 0, 0, 4, 3, 4, 2, 2, 0, 3, 3, 1, 3, 4, 3, 0, 4, 2, 3, 4, 2, 1, 1, 2, 3, 3, 1, 1, 3, 0, 3, 2, 4, 4, 2, 3, 4, 1, 2, 0, 0, 0, 4, 2, 4, 1, 1, 0, 1, 3, 1, 1, 2, 2, 4, 2, 0, 0, 3, 1, 1, 2, 0, 4, 1, 0, 0, 3, 0, 2, 1, 3, 1, 3, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 0, 2, 2, 0, 3, 4, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 4, 0, 0, 1, 0, 2, 0, 3, 4, 1, 1, 4, 1, 2, 4, 4, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 0, 4, 3, 3, 1, 0, 2, 0, 0, 1, 3, 3, 1, 3, 3, 0, 4, 4, 0, 3, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 4, 3, 2, 4, 0, 4, 1, 1, 4, 3, 2, 1, 0, 0, 0, 0, 3, 3, 4, 3, 1, 0, 3, 3, 1, 0, 3, 3, 2, 3, 4, 1, 2, 2, 2, 0, 2, 1, 4, 1, 3, 3, 4, 3, 1, 1, 3, 4, 3, 1, 0, 1, 2, 3, 4, 2, 0, 0, 4, 4, 1, 2, 0, 0, 3, 3, 3, 2, 2, 3, 0, 4, 2, 0, 2, 2, 1, 2, 3, 4, 2, 2, 0, 0, 3, 4, 4, 0, 0, 1, 2, 2, 3, 2, 3, 2, 3, 4, 3, 3, 1, 2, 2, 2, 2, 1, 3, 2, 2, 3, 2, 0, 0, 1, 3, 1, 1, 0, 4, 0, 3, 1] pubkeycol1107 = [0, 1, 4, 1, 1, 4, 0, 4, 1, 1, 1, 0, 4, 2, 3, 3, 2, 0, 4, 0, 0, 4, 0, 3, 1, 0, 1, 3, 1, 0, 2, 3, 1, 4, 4, 2, 1, 2, 4, 0, 4, 2, 3, 3, 2, 1, 0, 1, 1, 4, 3, 3, 2, 3, 0, 4, 2, 4, 2, 3, 4, 2, 2, 0, 1, 3, 1, 3, 3, 4, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 1, 3, 3, 4, 2, 3, 3, 0, 3, 2, 0, 3, 1, 1, 4, 1, 0, 4, 0, 4, 4, 3, 3, 2, 1, 4, 2, 1, 3, 2, 3, 0, 4, 3, 2, 4, 4, 2, 3, 4, 3, 3, 4, 4, 0, 0, 0, 0, 1, 3, 3, 4, 3, 4, 3, 4, 3, 0, 1, 0, 3, 2, 4, 4, 2, 0, 4, 2, 3, 3, 3, 2, 4, 2, 4, 1, 4, 1, 4, 3, 1, 4, 2, 3, 4, 3, 1, 0, 2, 1, 0, 1, 4, 2, 1, 2, 0, 4, 1, 0, 2, 3, 0, 3, 1, 3, 4, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 3, 3, 0, 0, 0, 4, 3, 4, 2, 3, 1, 3, 2, 1, 3, 2, 0, 4, 2, 2, 0, 1, 2, 3, 0, 0, 3, 1, 3, 0, 2, 4, 1, 0, 0, 4, 4, 4, 4, 2, 1, 2, 0, 1, 0, 4, 2, 1, 3, 0, 4, 2, 4, 2, 0, 3, 1, 1, 3, 0, 2, 4, 0, 3, 2, 2, 3, 4, 2, 0, 1, 0, 4, 0, 1, 2, 2, 3, 3, 3, 1, 4, 4, 0, 4, 0, 3, 1, 3, 1, 1, 0, 4, 4, 3, 4, 4, 1, 2, 1, 1, 4, 1, 0, 2, 2, 0, 0, 2, 3, 1, 0, 3, 3, 1, 2, 3, 1, 4, 2, 0, 3, 3] pubkeycol1108 = [3, 2, 0, 2, 1, 4, 2, 4, 1, 0, 3, 3, 1, 0, 2, 4, 1, 0, 1, 2, 4, 3, 2, 1, 0, 3, 4, 4, 1, 4, 1, 2, 4, 1, 2, 0, 1, 1, 3, 4, 3, 1, 0, 3, 2, 3, 2, 3, 4, 4, 3, 3, 0, 0, 2, 1, 1, 1, 1, 2, 2, 3, 3, 1, 0, 3, 2, 0, 3, 3, 4, 3, 0, 2, 4, 0, 0, 2, 4, 3, 1, 2, 3, 2, 2, 0, 4, 3, 0, 4, 0, 2, 4, 0, 4, 2, 0, 4, 2, 1, 3, 0, 0, 0, 4, 1, 2, 3, 1, 0, 0, 3, 3, 1, 2, 3, 1, 2, 2, 1, 4, 0, 2, 0, 3, 4, 4, 1, 1, 1, 2, 1, 3, 1, 4, 4, 2, 2, 3, 0, 2, 1, 3, 0, 3, 2, 4, 2, 4, 4, 4, 0, 2, 3, 2, 3, 4, 0, 2, 2, 0, 3, 2, 1, 3, 3, 4, 1, 2, 3, 2, 4, 3, 3, 4, 4, 0, 3, 4, 2, 3, 1, 2, 3, 3, 4, 3, 3, 0, 2, 4, 2, 4, 3, 0, 2, 2, 3, 2, 3, 0, 2, 1, 2, 0, 1, 3, 1, 4, 0, 4, 4, 3, 4, 4, 1, 4, 3, 2, 3, 3, 1, 0, 3, 2, 2, 0, 3, 1, 3, 2, 4, 3, 0, 4, 4, 1, 0, 1, 0, 1, 0, 4, 2, 3, 1, 3, 0, 3, 4, 0, 4, 1, 4, 0, 4, 4, 3, 1, 0, 2, 1, 2, 2, 0, 3, 2, 4, 2, 4, 3, 1, 3, 2, 1, 0, 0, 1, 4, 3, 0, 4, 3, 2, 4, 1, 3, 1, 4, 1, 0, 2, 4, 2, 2, 3, 0, 2, 3, 2, 4, 3, 1, 1, 0, 1, 3, 0, 4, 0, 4, 1, 3, 1, 3, 4, 0, 3, 0, 4] pubkeycol1109 = [2, 4, 2, 4, 3, 1, 4, 3, 3, 3, 1, 0, 0, 2, 4, 0, 0, 3, 0, 4, 4, 3, 4, 4, 0, 2, 2, 2, 4, 3, 0, 1, 3, 0, 4, 0, 2, 2, 4, 2, 2, 3, 4, 3, 1, 1, 3, 1, 0, 1, 2, 2, 2, 1, 0, 4, 2, 4, 0, 0, 4, 4, 2, 1, 0, 0, 2, 1, 0, 3, 1, 3, 2, 3, 2, 1, 3, 2, 2, 3, 0, 4, 0, 1, 1, 1, 4, 2, 4, 0, 1, 1, 0, 3, 2, 1, 1, 1, 0, 3, 0, 4, 1, 0, 0, 2, 1, 2, 3, 2, 1, 0, 2, 2, 1, 0, 0, 4, 2, 4, 1, 2, 2, 1, 0, 1, 1, 3, 3, 3, 2, 3, 4, 0, 1, 3, 0, 0, 0, 4, 1, 1, 2, 0, 4, 3, 0, 2, 3, 4, 4, 3, 1, 0, 0, 1, 1, 1, 4, 0, 0, 4, 4, 0, 3, 4, 0, 1, 2, 0, 4, 2, 3, 2, 4, 1, 2, 2, 4, 2, 3, 1, 1, 4, 2, 0, 4, 3, 2, 2, 0, 3, 3, 3, 3, 0, 1, 3, 2, 2, 0, 0, 0, 0, 3, 4, 2, 2, 3, 2, 4, 0, 1, 2, 3, 2, 4, 0, 2, 4, 3, 4, 2, 3, 3, 2, 0, 2, 2, 0, 3, 4, 2, 3, 3, 2, 4, 4, 0, 1, 0, 3, 3, 1, 2, 0, 3, 0, 2, 3, 1, 3, 4, 3, 3, 1, 1, 0, 1, 3, 3, 4, 1, 4, 3, 3, 3, 3, 3, 4, 2, 0, 1, 1, 3, 0, 2, 4, 0, 3, 2, 3, 1, 4, 3, 0, 0, 4, 4, 3, 0, 3, 3, 4, 1, 4, 2, 0, 1, 4, 4, 2, 3, 0, 3, 4, 2, 2, 4, 1, 2, 3, 4, 2, 3, 4, 3, 2, 1, 0] pubkeycol1110 = [4, 1, 4, 0, 2, 0, 4, 3, 3, 4, 4, 1, 4, 2, 0, 2, 1, 0, 2, 2, 4, 3, 2, 2, 1, 3, 3, 0, 2, 3, 1, 4, 2, 4, 3, 3, 4, 4, 4, 0, 4, 0, 4, 2, 4, 1, 1, 0, 1, 4, 4, 0, 3, 3, 0, 4, 4, 1, 3, 1, 0, 2, 4, 1, 0, 1, 3, 3, 1, 2, 2, 0, 0, 4, 2, 1, 4, 0, 2, 4, 0, 4, 2, 2, 4, 3, 2, 4, 0, 4, 2, 3, 3, 3, 4, 3, 4, 4, 1, 1, 2, 0, 4, 3, 2, 0, 3, 1, 1, 4, 0, 0, 1, 4, 0, 2, 0, 2, 2, 2, 0, 3, 0, 1, 0, 0, 3, 1, 2, 0, 0, 4, 1, 2, 0, 0, 1, 3, 0, 1, 3, 0, 1, 0, 0, 2, 1, 3, 4, 0, 4, 0, 4, 1, 3, 3, 4, 3, 3, 1, 2, 4, 1, 4, 3, 3, 3, 2, 1, 2, 2, 3, 2, 1, 3, 2, 0, 1, 2, 0, 3, 3, 1, 1, 0, 4, 2, 4, 3, 3, 1, 3, 3, 0, 3, 0, 3, 3, 2, 2, 3, 2, 0, 3, 2, 0, 2, 3, 3, 0, 3, 0, 1, 4, 1, 4, 4, 4, 2, 1, 2, 0, 1, 2, 2, 3, 2, 3, 1, 1, 4, 4, 4, 1, 4, 1, 1, 2, 3, 3, 0, 4, 1, 3, 3, 4, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 4, 2, 4, 2, 3, 4, 0, 2, 2, 4, 3, 1, 2, 2, 3, 0, 0, 0, 0, 1, 0, 3, 0, 1, 0, 1, 0, 0, 2, 0, 3, 3, 2, 2, 2, 3, 2, 0, 3, 0, 4, 2, 1, 3, 3, 4, 3, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 3, 0, 3, 3, 1, 3, 0] pubkeycol1111 = [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 2, 0, 4, 3, 1, 2, 3, 1, 1, 1, 2, 2, 4, 4, 2, 0, 0, 2, 3, 1, 1, 2, 4, 1, 1, 3, 0, 3, 4, 4, 1, 4, 2, 3, 2, 4, 4, 3, 0, 1, 3, 1, 3, 3, 4, 1, 3, 1, 3, 4, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 0, 0, 3, 1, 4, 2, 3, 2, 2, 2, 3, 2, 0, 4, 4, 1, 1, 0, 4, 3, 1, 1, 1, 4, 4, 3, 2, 2, 3, 0, 0, 0, 3, 2, 0, 4, 2, 1, 3, 0, 4, 4, 0, 3, 4, 0, 4, 1, 4, 0, 1, 0, 0, 3, 2, 1, 4, 0, 0, 3, 0, 2, 4, 1, 0, 1, 2, 3, 0, 0, 3, 1, 3, 1, 0, 0, 2, 2, 4, 3, 0, 3, 2, 3, 4, 3, 3, 1, 4, 1, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 4, 3, 0, 4, 4, 4, 0, 3, 1, 2, 3, 2, 1, 4, 0, 1, 3, 2, 1, 4, 3, 4, 4, 4, 1, 4, 3, 4, 1, 3, 2, 1, 3, 4, 4, 4, 1, 4, 4, 4, 1, 1, 3, 3, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 3, 4, 1, 1, 2, 4, 1, 2, 1, 2, 0, 4, 3, 0, 1, 4, 4, 3, 0, 0, 3, 3, 0, 1, 0, 2, 3, 3, 3, 0, 4, 2, 1, 1, 0, 4, 3, 4, 2, 4, 2, 4, 3, 0, 0, 3, 1, 4, 0, 0, 2, 3, 2, 0, 0, 3, 1, 3, 0, 1, 0, 4, 0, 1, 2, 0, 3, 3, 1, 1, 2, 2, 3, 3, 1, 0, 4, 2, 1, 4, 0, 4, 1, 2, 4, 3, 4, 0, 3, 0, 2, 3, 2] pubkeycol1112 = [1, 4, 0, 4, 0, 2, 0, 3, 1, 1, 0, 4, 1, 4, 1, 3, 0, 0, 1, 3, 1, 2, 0, 1, 2, 1, 3, 0, 1, 2, 4, 3, 2, 1, 0, 2, 2, 1, 2, 3, 3, 4, 1, 4, 3, 4, 4, 4, 3, 2, 0, 1, 1, 4, 3, 2, 2, 1, 1, 0, 4, 4, 3, 0, 2, 1, 4, 4, 2, 0, 0, 2, 3, 1, 2, 0, 3, 2, 0, 2, 2, 0, 1, 4, 0, 0, 0, 3, 4, 4, 3, 0, 0, 1, 2, 0, 4, 1, 4, 2, 2, 3, 4, 0, 1, 2, 4, 2, 1, 1, 2, 1, 2, 3, 1, 4, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 4, 3, 0, 3, 1, 1, 0, 1, 1, 3, 4, 4, 3, 2, 4, 1, 2, 0, 4, 2, 0, 0, 3, 1, 3, 4, 3, 0, 0, 3, 3, 4, 4, 2, 4, 2, 4, 3, 3, 2, 3, 0, 1, 1, 1, 4, 4, 2, 4, 0, 3, 0, 4, 2, 2, 4, 3, 4, 0, 0, 3, 4, 1, 3, 0, 0, 0, 0, 4, 0, 3, 2, 3, 3, 0, 1, 1, 4, 3, 0, 0, 1, 1, 0, 2, 0, 1, 3, 3, 4, 1, 3, 3, 0, 0, 4, 2, 4, 2, 0, 4, 4, 3, 4, 1, 4, 2, 1, 1, 0, 4, 0, 4, 4, 1, 0, 1, 1, 2, 2, 3, 1, 4, 0, 1, 3, 3, 3, 0, 1, 1, 0, 2, 2, 1, 2, 3, 4, 3, 3, 3, 4, 1, 0, 2, 0, 1, 4, 2, 3, 1, 3, 2, 1, 1, 1, 3, 1, 2, 2, 3, 1, 3, 0, 4, 1, 0, 3, 0, 3, 0, 3, 2, 1, 1, 1, 4, 1, 2, 1, 0, 1, 2, 2, 2, 4, 3, 4, 2, 1, 2] pubkeycol1113 = [2, 2, 4, 1, 0, 0, 1, 0, 0, 0, 2, 0, 4, 3, 3, 2, 0, 1, 4, 0, 1, 3, 1, 2, 4, 4, 2, 1, 0, 1, 1, 4, 3, 3, 2, 2, 2, 1, 1, 3, 3, 2, 0, 4, 0, 2, 2, 3, 4, 4, 2, 2, 1, 4, 0, 1, 0, 2, 1, 3, 1, 1, 4, 0, 4, 3, 1, 1, 2, 0, 2, 2, 0, 4, 2, 3, 0, 3, 1, 0, 1, 4, 4, 2, 1, 4, 1, 2, 1, 2, 0, 2, 1, 3, 0, 3, 4, 1, 2, 2, 0, 0, 0, 2, 0, 1, 4, 3, 1, 2, 2, 0, 1, 2, 4, 2, 2, 4, 1, 1, 3, 4, 4, 3, 1, 4, 2, 0, 2, 3, 3, 0, 4, 2, 1, 0, 1, 2, 2, 1, 3, 1, 4, 1, 1, 4, 2, 1, 0, 0, 0, 4, 2, 0, 3, 4, 4, 4, 1, 4, 0, 4, 4, 3, 3, 2, 2, 2, 1, 2, 3, 0, 3, 4, 4, 4, 1, 3, 4, 0, 2, 2, 0, 0, 2, 1, 3, 4, 0, 4, 2, 0, 3, 2, 1, 2, 2, 4, 3, 3, 1, 1, 1, 3, 1, 1, 0, 3, 4, 3, 4, 2, 3, 3, 2, 4, 1, 4, 2, 2, 1, 4, 1, 0, 2, 1, 3, 4, 4, 0, 4, 3, 4, 1, 1, 3, 4, 1, 1, 2, 0, 4, 1, 4, 4, 2, 4, 3, 1, 0, 0, 0, 3, 0, 3, 2, 0, 3, 3, 2, 4, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 4, 4, 2, 2, 2, 0, 0, 4, 3, 3, 1, 3, 0, 1, 4, 3, 4, 0, 2, 2, 1, 3, 0, 1, 4, 1, 1, 1, 2, 4, 1, 3, 1, 1, 0, 1, 0, 0, 3, 0, 2, 2, 4, 2, 1, 0, 1, 3] pubkeycol1114 = [2, 3, 4, 4, 2, 3, 3, 1, 2, 3, 2, 4, 0, 4, 1, 2, 0, 4, 0, 4, 3, 2, 1, 2, 0, 4, 1, 0, 3, 0, 1, 4, 3, 3, 3, 1, 2, 2, 4, 2, 3, 0, 4, 0, 0, 2, 1, 4, 2, 2, 3, 2, 4, 3, 2, 2, 2, 2, 2, 4, 2, 4, 3, 2, 3, 1, 3, 3, 1, 3, 3, 4, 3, 0, 3, 2, 3, 4, 0, 2, 4, 2, 1, 0, 3, 1, 2, 1, 1, 4, 1, 3, 0, 2, 0, 4, 3, 1, 0, 0, 2, 3, 4, 0, 3, 4, 1, 2, 3, 0, 1, 0, 1, 3, 1, 1, 2, 2, 0, 3, 2, 3, 3, 0, 1, 0, 2, 3, 4, 3, 3, 1, 2, 4, 3, 0, 2, 4, 1, 1, 4, 3, 4, 3, 3, 3, 4, 1, 4, 1, 1, 1, 2, 0, 3, 0, 3, 0, 1, 4, 0, 1, 2, 4, 3, 3, 0, 1, 4, 2, 4, 1, 3, 2, 3, 2, 3, 2, 4, 1, 0, 4, 1, 0, 4, 2, 4, 4, 0, 0, 3, 0, 3, 2, 3, 4, 3, 3, 1, 0, 4, 2, 4, 2, 3, 1, 4, 2, 0, 2, 4, 0, 2, 2, 3, 1, 0, 3, 2, 1, 2, 1, 3, 4, 0, 1, 0, 3, 3, 1, 3, 4, 1, 0, 4, 2, 3, 0, 3, 0, 1, 0, 0, 3, 3, 1, 0, 4, 2, 4, 1, 4, 3, 4, 1, 4, 1, 0, 2, 2, 0, 0, 0, 2, 2, 3, 1, 2, 3, 3, 0, 3, 0, 4, 4, 4, 0, 0, 2, 3, 2, 3, 1, 1, 4, 3, 0, 0, 1, 0, 1, 1, 4, 3, 2, 0, 3, 1, 0, 3, 3, 0, 2, 0, 1, 1, 4, 4, 0, 0, 0, 4, 1, 1, 3, 0, 1, 4, 2, 1] pubkeycol1115 = [0, 1, 4, 1, 4, 4, 3, 2, 3, 1, 4, 2, 0, 4, 1, 1, 1, 0, 1, 2, 4, 0, 1, 1, 2, 3, 0, 1, 0, 3, 2, 2, 4, 1, 0, 2, 3, 0, 4, 3, 0, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 3, 0, 2, 1, 0, 4, 4, 0, 2, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 2, 2, 4, 1, 3, 4, 4, 4, 1, 1, 3, 1, 2, 4, 4, 4, 4, 4, 3, 1, 4, 3, 4, 3, 3, 2, 3, 2, 4, 1, 1, 1, 1, 1, 0, 2, 2, 1, 4, 2, 4, 3, 4, 0, 1, 0, 4, 2, 2, 4, 4, 0, 0, 2, 1, 4, 1, 0, 4, 4, 4, 3, 0, 3, 4, 2, 3, 3, 0, 3, 0, 1, 4, 3, 0, 0, 0, 2, 1, 3, 0, 2, 3, 0, 4, 1, 3, 4, 1, 0, 2, 2, 4, 4, 2, 2, 2, 3, 0, 3, 4, 1, 4, 2, 3, 2, 4, 4, 4, 1, 4, 4, 0, 3, 1, 4, 4, 1, 0, 1, 2, 3, 3, 4, 2, 4, 3, 3, 3, 2, 1, 2, 2, 3, 0, 3, 1, 4, 0, 4, 3, 1, 1, 0, 0, 2, 4, 2, 3, 3, 1, 3, 3, 2, 2, 1, 0, 3, 0, 1, 2, 1, 0, 3, 1, 1, 1, 4, 4, 3, 4, 1, 1, 0, 4, 4, 0, 4, 1, 0, 4, 2, 4, 3, 4, 3, 1, 0, 2, 3, 3, 4, 4, 3, 4, 1, 3, 1, 2, 2, 2, 4, 3, 3, 1, 4, 2, 3, 0, 3, 1, 4, 0, 4, 4, 4, 1, 2, 0, 3, 4, 0, 4, 4, 1, 4, 3, 0, 1, 0, 1, 3, 1, 0, 1, 0, 2, 1, 2, 3, 0, 3, 0, 1, 0, 3, 0, 4, 2, 0] pubkeycol1116 = [1, 1, 3, 0, 2, 0, 0, 1, 4, 0, 4, 2, 0, 1, 1, 1, 4, 2, 1, 1, 1, 3, 4, 4, 3, 3, 0, 2, 3, 0, 2, 4, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 0, 1, 4, 3, 1, 3, 2, 0, 1, 4, 1, 4, 1, 2, 2, 4, 3, 2, 4, 3, 3, 4, 0, 3, 2, 0, 4, 3, 0, 2, 1, 4, 2, 3, 2, 4, 3, 4, 1, 1, 2, 2, 4, 3, 1, 3, 2, 4, 1, 1, 4, 2, 0, 4, 1, 0, 4, 1, 4, 0, 4, 2, 0, 3, 2, 2, 2, 2, 4, 0, 1, 3, 1, 4, 4, 1, 2, 3, 4, 1, 0, 4, 2, 1, 2, 2, 2, 4, 3, 4, 2, 1, 3, 0, 1, 0, 2, 3, 1, 4, 0, 4, 4, 3, 3, 4, 2, 4, 1, 4, 1, 1, 1, 0, 4, 4, 1, 1, 4, 3, 3, 3, 1, 0, 1, 3, 2, 0, 1, 4, 2, 1, 4, 0, 4, 4, 3, 2, 3, 0, 0, 0, 1, 2, 4, 0, 0, 0, 3, 4, 1, 0, 3, 1, 3, 3, 2, 4, 2, 1, 0, 2, 1, 0, 2, 4, 3, 0, 3, 4, 3, 1, 4, 3, 0, 4, 1, 1, 3, 3, 3, 2, 4, 2, 1, 4, 3, 4, 2, 4, 3, 0, 4, 1, 0, 3, 2, 0, 4, 3, 1, 2, 0, 1, 3, 3, 3, 3, 1, 1, 0, 1, 0, 4, 0, 2, 1, 2, 0, 0, 4, 2, 4, 4, 4, 1, 4, 2, 4, 4, 3, 2, 1, 1, 3, 2, 4, 1, 1, 3, 0, 1, 3, 4, 2, 2, 0, 0, 3, 2, 4, 3, 3, 4, 3, 2, 2, 4, 1, 2, 4, 1, 0, 4, 2, 3, 1, 4, 0, 1, 2, 1, 0, 0, 2, 4, 1, 2] pubkeycol1117 = [1, 4, 3, 1, 4, 3, 4, 3, 1, 0, 4, 4, 1, 3, 1, 3, 1, 3, 1, 1, 1, 1, 1, 3, 3, 0, 3, 2, 1, 1, 1, 0, 1, 0, 2, 0, 3, 0, 3, 2, 0, 1, 1, 4, 2, 2, 3, 2, 3, 2, 2, 2, 4, 3, 3, 0, 2, 2, 4, 4, 0, 1, 0, 1, 1, 2, 2, 0, 4, 3, 1, 3, 4, 4, 4, 1, 0, 0, 0, 0, 3, 1, 2, 0, 0, 4, 3, 3, 0, 2, 0, 2, 0, 4, 0, 0, 0, 4, 4, 0, 3, 2, 3, 1, 2, 1, 0, 2, 1, 0, 4, 3, 3, 1, 2, 1, 2, 4, 2, 1, 0, 4, 2, 1, 1, 0, 0, 0, 1, 1, 4, 4, 3, 1, 0, 4, 1, 1, 4, 1, 2, 3, 4, 1, 4, 0, 2, 4, 2, 4, 0, 4, 0, 4, 0, 1, 1, 1, 3, 1, 4, 0, 3, 4, 0, 0, 3, 4, 1, 0, 3, 0, 1, 4, 0, 1, 4, 2, 2, 2, 1, 3, 2, 2, 0, 4, 2, 2, 3, 0, 0, 3, 3, 2, 1, 4, 1, 3, 1, 4, 1, 0, 0, 2, 3, 0, 0, 4, 1, 0, 2, 4, 0, 2, 2, 1, 3, 2, 2, 1, 4, 1, 0, 1, 0, 2, 2, 4, 3, 1, 4, 4, 0, 4, 0, 3, 1, 0, 3, 2, 0, 3, 1, 0, 1, 3, 1, 1, 3, 1, 0, 0, 3, 4, 2, 0, 2, 2, 1, 2, 0, 4, 4, 2, 4, 2, 1, 1, 3, 3, 2, 4, 1, 0, 3, 2, 0, 1, 1, 1, 4, 1, 2, 3, 4, 1, 3, 4, 1, 1, 4, 0, 4, 1, 0, 2, 0, 1, 2, 0, 4, 4, 0, 3, 2, 2, 0, 0, 1, 1, 3, 4, 3, 2, 3, 1, 2, 4, 0, 2] pubkeycol1118 = [0, 2, 1, 3, 2, 1, 3, 2, 2, 2, 0, 4, 1, 2, 4, 2, 3, 1, 4, 1, 3, 0, 1, 0, 4, 2, 3, 1, 1, 4, 2, 4, 1, 4, 1, 4, 3, 3, 3, 0, 1, 4, 0, 2, 0, 0, 1, 1, 4, 2, 4, 0, 2, 1, 4, 3, 2, 1, 1, 0, 0, 1, 4, 0, 4, 2, 0, 4, 2, 0, 1, 2, 3, 1, 2, 3, 3, 3, 1, 0, 2, 0, 1, 4, 4, 4, 4, 4, 2, 0, 0, 1, 3, 1, 4, 1, 0, 2, 1, 0, 0, 0, 3, 3, 4, 4, 0, 4, 1, 0, 0, 1, 4, 2, 1, 3, 3, 3, 0, 2, 1, 0, 4, 0, 2, 1, 3, 3, 0, 4, 2, 2, 3, 3, 0, 3, 4, 4, 4, 4, 4, 2, 0, 1, 2, 3, 2, 2, 2, 0, 4, 0, 2, 0, 4, 4, 0, 1, 4, 0, 2, 4, 1, 4, 4, 0, 2, 1, 4, 2, 1, 2, 0, 0, 2, 0, 2, 4, 1, 2, 3, 1, 2, 3, 1, 0, 2, 2, 3, 3, 0, 3, 2, 3, 1, 3, 1, 2, 3, 0, 0, 4, 4, 3, 3, 2, 0, 2, 2, 0, 4, 2, 0, 0, 4, 1, 3, 4, 3, 4, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 4, 3, 1, 2, 0, 4, 1, 4, 4, 4, 0, 0, 2, 0, 4, 2, 3, 4, 1, 3, 2, 4, 0, 0, 3, 0, 0, 0, 3, 0, 0, 2, 1, 3, 3, 0, 2, 3, 0, 1, 1, 4, 0, 0, 4, 2, 2, 1, 0, 1, 4, 2, 3, 3, 1, 0, 0, 4, 3, 0, 2, 1, 2, 2, 3, 3, 0, 0, 1, 0, 3, 2, 1, 2, 0, 3, 2, 2, 3, 3, 3, 2, 0, 0, 1, 0, 0, 0, 1, 3] pubkeycol1119 = [2, 0, 4, 3, 3, 2, 3, 3, 3, 0, 3, 0, 1, 2, 4, 2, 4, 1, 3, 2, 3, 2, 0, 4, 1, 2, 0, 3, 0, 3, 2, 4, 2, 4, 4, 2, 3, 4, 3, 4, 3, 1, 1, 3, 2, 3, 4, 4, 3, 0, 4, 1, 3, 4, 2, 0, 4, 3, 1, 2, 4, 1, 0, 1, 4, 2, 0, 1, 2, 2, 0, 3, 4, 3, 3, 2, 4, 0, 4, 3, 1, 1, 2, 3, 4, 1, 3, 3, 2, 1, 3, 4, 0, 0, 1, 2, 1, 0, 2, 0, 3, 4, 3, 1, 2, 3, 2, 4, 1, 1, 3, 1, 1, 3, 4, 0, 1, 0, 4, 1, 1, 1, 3, 4, 0, 2, 1, 4, 2, 1, 3, 2, 3, 4, 4, 2, 0, 3, 3, 4, 1, 0, 3, 1, 4, 1, 3, 0, 0, 4, 2, 4, 2, 0, 2, 2, 3, 1, 3, 4, 0, 4, 0, 3, 0, 2, 1, 4, 3, 3, 0, 2, 1, 4, 4, 3, 1, 3, 3, 1, 3, 4, 2, 2, 0, 3, 4, 0, 3, 4, 3, 4, 2, 4, 1, 2, 1, 2, 3, 2, 2, 0, 4, 1, 2, 1, 0, 1, 4, 1, 2, 3, 4, 3, 3, 4, 3, 4, 1, 0, 3, 4, 0, 1, 2, 4, 1, 0, 4, 1, 3, 3, 2, 2, 1, 2, 4, 3, 4, 4, 0, 4, 3, 4, 0, 3, 3, 0, 3, 0, 0, 2, 3, 0, 4, 4, 1, 2, 1, 2, 0, 3, 4, 3, 0, 2, 1, 4, 0, 3, 3, 3, 3, 4, 1, 4, 2, 0, 2, 4, 1, 3, 1, 4, 3, 0, 2, 4, 4, 4, 3, 0, 0, 2, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 1, 0, 0, 0, 0, 3, 0, 4, 4, 4, 3, 3, 3, 3, 4] pubkeycol1120 = [3, 1, 1, 0, 3, 3, 4, 1, 2, 1, 0, 3, 3, 4, 0, 0, 2, 2, 3, 0, 2, 0, 1, 2, 1, 1, 2, 3, 2, 4, 4, 4, 3, 1, 1, 2, 2, 1, 1, 1, 0, 1, 4, 2, 0, 3, 4, 0, 1, 1, 3, 3, 1, 0, 1, 0, 4, 3, 3, 0, 4, 2, 4, 4, 3, 3, 1, 4, 1, 0, 4, 2, 2, 1, 0, 0, 0, 4, 1, 3, 3, 4, 0, 3, 3, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 4, 3, 2, 2, 4, 0, 2, 0, 1, 0, 3, 4, 4, 3, 4, 0, 3, 1, 2, 0, 1, 4, 2, 1, 3, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 3, 3, 0, 3, 4, 3, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 3, 4, 1, 4, 2, 3, 1, 3, 4, 0, 3, 0, 2, 3, 1, 2, 2, 0, 4, 3, 3, 4, 3, 1, 3, 4, 0, 4, 3, 1, 4, 2, 0, 4, 0, 0, 3, 2, 4, 1, 2, 3, 2, 1, 2, 3, 0, 4, 2, 4, 3, 0, 1, 0, 2, 3, 4, 3, 3, 1, 3, 0, 2, 0, 3, 4, 2, 0, 3, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 0, 3, 3, 4, 4, 2, 1, 1, 1, 1, 2, 0, 2, 1, 4, 4, 0, 3, 4, 3, 4, 0, 4, 3, 0, 0, 1, 1, 0, 0, 3, 1, 3, 2, 3, 4, 1, 0, 1, 1, 0, 1, 0, 4, 3, 1, 0, 4, 4, 4, 2, 2, 0, 2, 0, 4, 2, 1, 2, 1, 4, 3, 1, 3, 2, 2, 4, 4, 0, 4, 3, 0, 2, 0, 0, 4, 0, 1, 2, 4, 4, 0] pubkeycol1121 = [1, 4, 0, 1, 2, 4, 1, 2, 0, 0, 0, 0, 0, 1, 3, 3, 4, 4, 4, 3, 4, 4, 0, 4, 4, 3, 4, 1, 1, 4, 2, 1, 2, 2, 3, 1, 2, 2, 0, 0, 3, 3, 0, 1, 2, 0, 2, 3, 4, 3, 3, 3, 3, 0, 0, 3, 1, 2, 2, 1, 1, 3, 0, 0, 4, 1, 3, 4, 0, 2, 0, 3, 2, 3, 1, 3, 0, 0, 2, 1, 4, 4, 1, 2, 4, 1, 4, 3, 0, 4, 4, 0, 1, 2, 3, 3, 1, 4, 0, 2, 2, 3, 1, 1, 2, 1, 3, 1, 2, 1, 1, 3, 3, 2, 4, 4, 2, 2, 0, 1, 3, 3, 4, 4, 2, 3, 3, 1, 4, 4, 0, 0, 3, 4, 3, 3, 3, 2, 0, 2, 4, 4, 3, 2, 3, 1, 1, 3, 4, 0, 1, 3, 4, 3, 4, 1, 1, 2, 2, 1, 3, 1, 2, 2, 0, 4, 4, 2, 2, 4, 1, 1, 2, 4, 1, 2, 4, 0, 3, 4, 4, 0, 2, 1, 2, 2, 3, 0, 1, 4, 4, 4, 3, 2, 0, 1, 4, 3, 1, 3, 1, 4, 4, 0, 4, 4, 3, 3, 1, 0, 1, 3, 4, 1, 0, 0, 2, 1, 3, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 1, 2, 0, 2, 3, 2, 1, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 2, 0, 3, 2, 0, 4, 3, 0, 4, 0, 1, 3, 0, 3, 4, 3, 0, 2, 1, 2, 3, 0, 0, 3, 0, 1, 4, 4, 3, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 3, 0, 2, 4, 4, 1, 4, 0, 2, 3, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 3, 3, 3, 0, 0, 3, 3, 0, 2, 1] pubkeycol1122 = [2, 3, 0, 4, 0, 2, 4, 0, 0, 4, 2, 3, 3, 2, 0, 4, 3, 3, 3, 3, 3, 0, 0, 0, 3, 4, 1, 2, 4, 1, 3, 4, 2, 1, 3, 2, 1, 1, 4, 3, 0, 1, 4, 1, 3, 1, 1, 3, 4, 4, 0, 0, 2, 4, 1, 1, 3, 1, 4, 1, 3, 1, 0, 1, 2, 1, 0, 3, 2, 3, 2, 0, 1, 2, 4, 4, 2, 3, 3, 1, 3, 0, 1, 2, 3, 1, 0, 2, 1, 1, 2, 2, 0, 4, 4, 2, 2, 4, 0, 4, 1, 3, 3, 4, 1, 0, 0, 2, 0, 3, 0, 3, 4, 4, 1, 4, 4, 1, 0, 0, 4, 0, 3, 1, 3, 0, 3, 3, 2, 0, 3, 4, 1, 1, 4, 1, 3, 3, 0, 3, 1, 3, 1, 2, 3, 4, 4, 1, 3, 2, 4, 2, 2, 0, 4, 0, 3, 4, 1, 3, 1, 4, 0, 3, 3, 4, 1, 3, 4, 1, 2, 4, 2, 1, 0, 2, 3, 0, 0, 3, 4, 3, 3, 1, 2, 4, 4, 4, 2, 2, 3, 1, 1, 1, 1, 4, 2, 0, 0, 3, 0, 3, 3, 4, 3, 2, 0, 0, 4, 0, 3, 3, 0, 1, 3, 1, 1, 2, 0, 4, 3, 0, 2, 0, 3, 1, 0, 2, 3, 1, 1, 2, 1, 1, 3, 0, 1, 0, 1, 4, 1, 1, 3, 0, 1, 3, 4, 3, 4, 0, 1, 4, 0, 1, 1, 4, 3, 4, 3, 2, 1, 1, 1, 2, 2, 3, 1, 0, 0, 3, 2, 3, 1, 4, 3, 1, 3, 1, 3, 2, 2, 0, 4, 3, 4, 0, 0, 2, 0, 4, 4, 4, 2, 2, 2, 1, 4, 1, 3, 1, 0, 0, 4, 1, 4, 0, 4, 3, 3, 3, 0, 2, 3, 2, 2, 0, 3, 4, 1, 1] pubkeycol1123 = [4, 0, 3, 0, 1, 3, 0, 1, 2, 3, 4, 1, 0, 4, 2, 1, 0, 3, 0, 2, 3, 0, 4, 2, 3, 2, 0, 0, 2, 3, 3, 4, 2, 3, 1, 4, 2, 0, 3, 4, 3, 3, 4, 3, 2, 4, 2, 4, 1, 2, 4, 2, 3, 3, 1, 4, 4, 3, 3, 2, 3, 4, 4, 4, 0, 1, 2, 3, 1, 0, 4, 4, 1, 2, 0, 2, 1, 0, 3, 0, 3, 0, 2, 3, 3, 4, 1, 2, 0, 0, 2, 3, 0, 3, 1, 1, 3, 0, 3, 4, 2, 3, 1, 0, 4, 2, 1, 4, 4, 0, 1, 0, 0, 3, 0, 3, 4, 3, 3, 2, 3, 3, 1, 2, 2, 2, 3, 2, 3, 0, 0, 4, 0, 0, 1, 3, 4, 1, 4, 0, 4, 1, 1, 0, 0, 4, 2, 3, 0, 1, 3, 1, 3, 3, 4, 0, 3, 0, 3, 2, 0, 4, 0, 4, 2, 0, 3, 3, 1, 0, 3, 2, 3, 1, 4, 4, 3, 0, 0, 2, 3, 1, 2, 4, 4, 1, 3, 4, 1, 4, 2, 3, 2, 4, 4, 1, 1, 3, 0, 2, 1, 1, 0, 3, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 2, 2, 4, 1, 1, 3, 0, 3, 4, 4, 0, 1, 1, 1, 4, 0, 2, 0, 0, 4, 4, 3, 2, 2, 3, 0, 4, 0, 4, 2, 0, 3, 1, 4, 0, 0, 1, 1, 4, 3, 4, 4, 2, 4, 0, 0, 3, 4, 3, 1, 4, 1, 4, 2, 0, 3, 2, 0, 0, 3, 3, 0, 2, 3, 0, 4, 2, 4, 4, 3, 2, 2, 1, 2, 4, 3, 1, 0, 3, 0, 2, 0, 0, 4, 4, 1, 0, 1, 2, 0, 3, 1, 3, 0, 1, 3, 2, 3, 0, 2, 3, 0, 2, 1, 4, 4] pubkeycol1124 = [0, 0, 2, 3, 0, 2, 2, 4, 1, 4, 3, 2, 4, 4, 0, 4, 4, 2, 2, 1, 2, 0, 2, 0, 2, 4, 2, 1, 2, 4, 3, 1, 2, 3, 1, 0, 0, 0, 2, 3, 0, 0, 3, 4, 0, 3, 4, 2, 0, 2, 1, 0, 4, 4, 0, 0, 1, 2, 2, 2, 1, 4, 2, 0, 2, 3, 0, 3, 3, 2, 1, 0, 4, 0, 3, 1, 0, 0, 3, 0, 2, 4, 3, 4, 0, 3, 0, 1, 3, 1, 1, 1, 0, 1, 4, 4, 4, 0, 1, 2, 3, 4, 4, 0, 1, 4, 0, 0, 2, 3, 1, 1, 4, 1, 2, 0, 2, 3, 2, 4, 0, 0, 2, 1, 0, 4, 1, 0, 4, 3, 2, 0, 3, 1, 4, 4, 3, 1, 4, 1, 2, 1, 2, 3, 0, 0, 1, 4, 4, 0, 2, 4, 1, 1, 1, 2, 2, 1, 0, 0, 4, 1, 1, 3, 2, 3, 3, 3, 0, 0, 1, 0, 4, 0, 4, 3, 2, 3, 2, 2, 2, 0, 0, 3, 3, 2, 4, 3, 2, 1, 2, 2, 3, 3, 4, 3, 2, 2, 2, 0, 1, 4, 2, 3, 1, 0, 0, 3, 4, 2, 3, 1, 4, 3, 2, 0, 1, 3, 0, 1, 2, 0, 4, 3, 0, 4, 0, 0, 4, 4, 0, 2, 1, 2, 4, 2, 1, 1, 4, 1, 3, 3, 3, 3, 0, 2, 3, 4, 0, 2, 4, 0, 3, 0, 2, 0, 1, 1, 0, 0, 2, 3, 1, 3, 2, 0, 1, 3, 3, 2, 0, 3, 2, 2, 0, 4, 2, 0, 1, 1, 4, 2, 3, 3, 2, 1, 3, 0, 3, 1, 2, 4, 1, 0, 4, 1, 3, 1, 3, 2, 2, 0, 1, 2, 4, 3, 1, 0, 3, 2, 4, 2, 2, 2, 1, 3, 2, 2, 1, 1] pubkeycol1125 = [1, 2, 2, 4, 4, 2, 1, 3, 1, 2, 3, 3, 1, 4, 1, 1, 0, 2, 0, 0, 3, 2, 4, 4, 2, 1, 3, 1, 4, 2, 1, 1, 2, 3, 3, 4, 2, 4, 0, 1, 0, 1, 1, 4, 4, 4, 3, 0, 2, 4, 3, 2, 4, 2, 3, 4, 4, 0, 3, 3, 4, 3, 2, 4, 2, 2, 1, 3, 3, 0, 4, 3, 3, 1, 0, 1, 0, 4, 2, 1, 3, 1, 2, 4, 4, 4, 4, 2, 0, 0, 4, 0, 1, 0, 0, 1, 0, 3, 0, 1, 3, 2, 0, 3, 2, 2, 4, 1, 1, 1, 1, 0, 4, 1, 1, 0, 1, 4, 0, 2, 3, 2, 3, 0, 1, 2, 2, 0, 4, 2, 4, 4, 3, 4, 1, 1, 0, 2, 1, 1, 0, 3, 3, 3, 0, 4, 2, 3, 0, 4, 1, 2, 2, 0, 0, 4, 1, 2, 1, 0, 0, 2, 4, 1, 4, 1, 2, 3, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 1, 0, 4, 2, 2, 1, 3, 2, 0, 2, 4, 1, 0, 2, 2, 0, 0, 2, 4, 3, 3, 4, 2, 3, 1, 0, 2, 0, 4, 2, 2, 0, 1, 1, 3, 2, 3, 0, 1, 0, 4, 3, 1, 4, 0, 3, 0, 1, 4, 4, 3, 0, 0, 2, 4, 1, 1, 1, 0, 2, 1, 3, 2, 0, 1, 3, 3, 1, 3, 1, 3, 3, 3, 1, 4, 0, 3, 1, 1, 4, 2, 2, 4, 4, 4, 0, 1, 2, 2, 0, 2, 4, 4, 2, 4, 1, 1, 0, 4, 4, 0, 3, 2, 3, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 3, 3, 0, 0, 3, 1, 4, 0, 3, 1, 3, 4, 0, 4, 1, 1, 3, 0] pubkeycol1126 = [4, 3, 0, 2, 3, 1, 4, 3, 0, 2, 4, 2, 3, 2, 4, 4, 4, 2, 2, 0, 0, 2, 4, 0, 3, 3, 4, 2, 3, 2, 4, 4, 2, 1, 4, 4, 3, 0, 3, 1, 0, 1, 4, 2, 1, 2, 3, 4, 2, 2, 4, 1, 4, 2, 0, 1, 3, 0, 0, 4, 0, 2, 2, 0, 2, 0, 4, 0, 2, 2, 2, 2, 0, 0, 3, 2, 2, 1, 3, 2, 1, 1, 2, 1, 3, 1, 1, 0, 4, 2, 1, 0, 0, 1, 3, 2, 2, 3, 4, 2, 0, 1, 4, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 3, 4, 4, 3, 0, 0, 1, 2, 0, 1, 3, 0, 2, 0, 3, 2, 2, 1, 4, 1, 4, 2, 1, 0, 2, 1, 1, 1, 4, 2, 3, 2, 1, 1, 0, 1, 2, 0, 2, 2, 3, 2, 3, 3, 2, 0, 1, 0, 2, 4, 1, 2, 2, 0, 4, 3, 2, 1, 2, 1, 0, 2, 1, 4, 1, 2, 3, 0, 3, 3, 1, 1, 2, 4, 2, 4, 1, 1, 1, 4, 4, 3, 2, 3, 3, 1, 2, 4, 1, 2, 0, 4, 3, 4, 1, 2, 0, 4, 0, 3, 4, 0, 4, 0, 0, 2, 4, 0, 3, 4, 0, 2, 1, 3, 0, 2, 1, 2, 1, 3, 1, 3, 4, 1, 3, 3, 1, 1, 0, 0, 4, 1, 3, 2, 2, 3, 1, 0, 0, 1, 4, 0, 4, 2, 2, 1, 3, 4, 1, 2, 4, 4, 1, 0, 1, 1, 4, 1, 2, 2, 2, 1, 0, 1, 3, 1, 0, 0, 1, 0, 2, 3, 4, 0, 1, 3, 2, 4, 0, 1, 2, 2, 1, 0, 2, 4, 1, 2, 2, 3, 3, 1, 0, 3, 1, 3, 3, 1, 1, 1, 4, 2, 4, 4] pubkeycol1127 = [3, 3, 0, 4, 4, 2, 1, 1, 0, 4, 2, 4, 0, 3, 1, 1, 1, 2, 4, 3, 2, 0, 4, 4, 3, 0, 2, 2, 2, 0, 3, 2, 2, 3, 4, 2, 4, 0, 1, 2, 2, 4, 3, 3, 2, 3, 0, 4, 1, 0, 2, 0, 3, 4, 0, 2, 0, 3, 0, 2, 1, 3, 0, 3, 2, 3, 4, 1, 1, 3, 0, 3, 2, 2, 4, 3, 2, 1, 1, 1, 3, 4, 4, 1, 2, 1, 0, 0, 2, 1, 3, 1, 1, 3, 0, 3, 1, 4, 0, 1, 2, 4, 4, 1, 3, 1, 3, 3, 0, 1, 1, 0, 3, 2, 1, 3, 1, 1, 0, 2, 4, 4, 0, 2, 1, 2, 0, 4, 0, 2, 4, 0, 3, 0, 4, 2, 1, 1, 2, 3, 3, 1, 3, 3, 2, 2, 2, 3, 2, 4, 0, 2, 4, 2, 0, 0, 1, 2, 4, 0, 2, 3, 3, 2, 2, 0, 0, 1, 2, 1, 1, 4, 1, 4, 4, 0, 3, 1, 3, 3, 3, 1, 3, 4, 0, 0, 2, 2, 0, 3, 2, 2, 0, 3, 0, 4, 3, 0, 3, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 3, 2, 3, 0, 2, 3, 4, 1, 2, 1, 1, 2, 3, 1, 2, 1, 4, 3, 4, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 3, 4, 3, 0, 3, 1, 4, 3, 3, 0, 0, 0, 4, 3, 0, 0, 0, 4, 4, 4, 1, 4, 1, 0, 3, 3, 2, 4, 2, 1, 1, 0, 4, 4, 2, 3, 1, 2, 0, 3, 1, 3, 3, 2, 4, 0, 3, 4, 3, 1, 1, 2, 0, 4, 4, 1, 4, 0, 2, 1, 0, 2, 0, 1, 1, 3, 4, 1] pubkeycol1128 = [0, 1, 2, 2, 3, 0, 1, 4, 1, 3, 2, 3, 2, 2, 1, 2, 0, 2, 0, 3, 0, 4, 2, 3, 2, 0, 0, 3, 1, 4, 3, 3, 2, 4, 4, 1, 2, 1, 0, 3, 1, 1, 0, 2, 1, 3, 3, 4, 0, 0, 1, 1, 2, 4, 0, 1, 0, 4, 1, 2, 2, 2, 2, 2, 1, 0, 2, 4, 0, 0, 0, 2, 0, 4, 3, 0, 2, 2, 3, 3, 1, 2, 2, 4, 2, 4, 0, 2, 0, 0, 3, 3, 4, 3, 4, 3, 0, 0, 3, 0, 3, 3, 3, 1, 3, 0, 4, 2, 4, 2, 2, 1, 0, 1, 2, 1, 4, 2, 0, 2, 0, 2, 1, 3, 3, 1, 4, 2, 1, 0, 2, 0, 3, 2, 3, 4, 0, 0, 3, 3, 1, 2, 2, 4, 1, 4, 1, 0, 2, 1, 1, 2, 4, 1, 4, 2, 3, 0, 3, 3, 3, 4, 0, 4, 0, 4, 2, 3, 3, 1, 0, 2, 4, 3, 1, 1, 2, 3, 3, 0, 4, 0, 2, 4, 4, 4, 3, 2, 0, 3, 4, 3, 2, 4, 0, 3, 3, 2, 1, 3, 3, 0, 4, 4, 3, 3, 1, 3, 1, 2, 1, 1, 2, 4, 1, 3, 2, 4, 2, 1, 2, 3, 2, 2, 4, 2, 3, 2, 2, 0, 0, 2, 2, 3, 4, 2, 1, 2, 0, 3, 1, 3, 1, 0, 2, 3, 1, 1, 1, 1, 4, 3, 2, 2, 0, 1, 2, 3, 3, 3, 3, 0, 1, 0, 2, 1, 3, 2, 3, 1, 0, 3, 3, 2, 3, 2, 1, 4, 2, 1, 2, 1, 0, 1, 3, 0, 1, 3, 4, 3, 3, 1, 1, 2, 0, 4, 0, 1, 0, 3, 2, 1, 0, 0, 1, 4, 3, 0, 4, 1, 2, 0, 0, 0, 1, 1, 2, 4, 0, 0] pubkeycol1129 = [4, 1, 2, 1, 2, 1, 0, 0, 4, 3, 0, 0, 4, 4, 2, 2, 3, 0, 2, 1, 4, 2, 1, 2, 2, 3, 4, 4, 1, 1, 4, 4, 4, 0, 2, 4, 0, 2, 0, 3, 0, 0, 3, 4, 4, 4, 0, 3, 3, 1, 2, 3, 1, 3, 0, 2, 3, 3, 2, 1, 4, 0, 2, 3, 1, 2, 3, 4, 0, 4, 3, 0, 3, 2, 3, 1, 0, 0, 2, 3, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 3, 2, 1, 2, 0, 0, 3, 1, 2, 4, 1, 1, 3, 0, 1, 2, 1, 0, 2, 2, 3, 2, 4, 2, 3, 3, 0, 4, 4, 2, 3, 2, 4, 3, 2, 4, 1, 1, 3, 0, 1, 1, 0, 1, 2, 1, 1, 1, 4, 1, 0, 3, 3, 3, 2, 2, 0, 1, 4, 2, 0, 0, 4, 0, 0, 3, 2, 4, 1, 0, 0, 2, 1, 3, 1, 3, 2, 3, 3, 0, 1, 3, 2, 2, 0, 1, 0, 1, 3, 0, 1, 0, 4, 1, 0, 4, 2, 3, 0, 4, 0, 3, 2, 0, 3, 1, 4, 0, 3, 4, 4, 2, 4, 1, 0, 1, 2, 4, 2, 2, 2, 3, 1, 4, 2, 3, 0, 0, 2, 3, 1, 2, 3, 4, 2, 3, 1, 1, 0, 4, 2, 3, 0, 2, 3, 1, 3, 3, 3, 0, 4, 0, 1, 1, 3, 1, 1, 1, 4, 0, 3, 1, 1, 3, 3, 4, 1, 4, 1, 4, 4, 4, 1, 0, 1, 4, 0, 1, 2, 1, 1, 4, 2, 0, 0, 3, 4, 0, 0, 4, 0, 3, 3, 1, 1, 0, 1, 2, 3, 2, 1, 3, 1, 1, 0, 4, 3, 4, 4, 0, 0, 4, 0, 4, 4, 1, 3, 0, 3, 0, 3, 0, 3, 2, 1, 4, 0, 3, 2] pubkeycol1130 = [0, 2, 2, 1, 0, 0, 0, 4, 2, 1, 3, 0, 4, 0, 4, 4, 3, 3, 2, 4, 1, 2, 1, 2, 1, 3, 2, 4, 1, 4, 1, 0, 3, 4, 0, 0, 3, 4, 1, 2, 3, 3, 4, 0, 0, 1, 2, 3, 4, 1, 1, 1, 3, 3, 1, 2, 3, 0, 4, 1, 1, 4, 0, 4, 3, 1, 0, 2, 1, 3, 3, 4, 0, 4, 1, 2, 0, 3, 2, 2, 1, 3, 2, 3, 0, 4, 2, 3, 3, 4, 0, 0, 1, 2, 4, 3, 2, 2, 4, 1, 0, 2, 3, 4, 4, 2, 4, 1, 1, 0, 4, 0, 0, 0, 3, 3, 1, 0, 4, 3, 2, 2, 2, 4, 0, 3, 2, 1, 0, 3, 3, 3, 0, 0, 3, 1, 4, 2, 1, 4, 2, 2, 1, 2, 0, 3, 1, 4, 0, 4, 0, 2, 0, 2, 0, 1, 0, 3, 0, 1, 2, 3, 1, 2, 3, 1, 4, 2, 3, 3, 2, 4, 2, 1, 1, 4, 3, 1, 1, 3, 4, 4, 1, 0, 3, 1, 2, 1, 2, 0, 0, 2, 3, 2, 1, 1, 2, 1, 4, 0, 0, 0, 1, 0, 1, 4, 2, 3, 0, 2, 1, 4, 4, 1, 0, 0, 3, 3, 4, 0, 4, 4, 0, 1, 3, 1, 4, 0, 4, 0, 0, 1, 3, 0, 0, 4, 1, 3, 0, 2, 3, 3, 2, 4, 0, 0, 4, 0, 2, 3, 2, 3, 1, 1, 4, 0, 0, 4, 4, 4, 4, 3, 1, 4, 4, 2, 4, 3, 3, 0, 0, 0, 3, 2, 4, 1, 3, 4, 4, 3, 1, 2, 2, 3, 3, 4, 2, 2, 4, 0, 3, 3, 2, 2, 4, 3, 1, 0, 0, 3, 3, 2, 2, 2, 1, 1, 2, 4, 4, 0, 1, 3, 4, 2, 2, 1, 3, 3, 4, 1] pubkeycol1131 = [0, 1, 1, 3, 2, 3, 2, 2, 3, 0, 2, 0, 0, 4, 3, 0, 3, 1, 2, 3, 1, 2, 0, 0, 3, 1, 2, 4, 4, 3, 1, 0, 4, 4, 3, 0, 4, 0, 4, 1, 2, 0, 1, 1, 2, 2, 1, 3, 4, 4, 2, 3, 0, 4, 4, 4, 3, 4, 2, 0, 3, 4, 4, 1, 0, 0, 0, 1, 2, 4, 0, 2, 1, 4, 1, 3, 2, 4, 2, 1, 1, 4, 4, 3, 2, 2, 3, 4, 1, 4, 2, 1, 0, 0, 1, 0, 4, 4, 4, 4, 1, 3, 0, 0, 2, 3, 4, 1, 1, 2, 2, 0, 1, 2, 2, 4, 3, 3, 3, 0, 4, 4, 3, 3, 3, 0, 4, 1, 4, 3, 0, 0, 1, 0, 2, 1, 1, 4, 1, 1, 2, 3, 4, 0, 3, 2, 3, 2, 4, 0, 1, 1, 2, 3, 4, 4, 3, 3, 3, 1, 0, 1, 0, 3, 1, 2, 4, 2, 3, 2, 4, 3, 0, 0, 4, 2, 0, 2, 3, 2, 2, 3, 4, 3, 1, 4, 1, 2, 3, 4, 0, 0, 4, 2, 4, 2, 3, 0, 2, 2, 4, 2, 2, 4, 0, 1, 2, 3, 0, 0, 2, 3, 1, 4, 2, 3, 3, 0, 2, 1, 4, 3, 4, 0, 0, 1, 3, 3, 2, 0, 0, 3, 0, 4, 1, 0, 0, 2, 1, 2, 0, 3, 3, 2, 4, 4, 4, 0, 4, 4, 2, 3, 3, 3, 4, 2, 1, 0, 0, 1, 4, 3, 1, 2, 1, 2, 2, 0, 0, 4, 0, 0, 2, 4, 1, 4, 3, 1, 2, 0, 0, 3, 4, 2, 4, 1, 0, 0, 0, 2, 2, 3, 3, 2, 0, 4, 3, 0, 0, 0, 3, 0, 0, 2, 0, 4, 3, 2, 0, 3, 2, 4, 4, 4, 0, 1, 2, 3, 1, 3] pubkeycol1132 = [0, 1, 2, 0, 0, 2, 1, 4, 1, 3, 2, 1, 2, 0, 2, 1, 2, 3, 4, 2, 0, 1, 1, 3, 2, 3, 0, 1, 3, 3, 0, 0, 3, 1, 4, 0, 0, 4, 1, 1, 3, 0, 4, 1, 0, 2, 1, 0, 1, 2, 2, 4, 2, 4, 0, 1, 2, 4, 4, 2, 3, 3, 4, 4, 3, 3, 3, 3, 1, 1, 2, 4, 2, 4, 0, 1, 4, 3, 0, 2, 0, 3, 1, 3, 4, 3, 0, 3, 1, 1, 1, 0, 4, 3, 3, 3, 2, 2, 1, 4, 3, 4, 2, 2, 3, 0, 2, 4, 3, 0, 1, 2, 2, 4, 1, 2, 3, 3, 4, 4, 0, 3, 0, 2, 2, 3, 0, 1, 1, 4, 2, 0, 4, 3, 1, 2, 2, 3, 0, 0, 2, 2, 3, 0, 1, 4, 1, 1, 1, 3, 2, 4, 0, 4, 3, 4, 0, 4, 1, 0, 4, 4, 1, 4, 4, 3, 4, 3, 0, 1, 4, 3, 1, 2, 1, 3, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 4, 2, 4, 1, 0, 0, 1, 4, 3, 4, 1, 0, 2, 2, 4, 1, 0, 3, 3, 3, 0, 1, 4, 2, 0, 1, 0, 4, 3, 2, 4, 0, 3, 2, 1, 1, 3, 1, 3, 1, 0, 0, 3, 2, 3, 1, 1, 3, 1, 0, 2, 0, 4, 1, 2, 1, 1, 1, 3, 0, 3, 4, 3, 4, 0, 2, 3, 4, 1, 1, 4, 1, 3, 2, 4, 2, 1, 4, 0, 4, 1, 3, 2, 2, 1, 1, 3, 4, 3, 2, 3, 2, 3, 3, 2, 3, 0, 0, 0, 2, 1, 2, 1, 0, 4, 1, 2, 2, 1, 1, 2, 4, 0, 0, 3, 1, 1, 3, 3, 3, 0, 1, 3, 3, 2, 3, 3, 2, 2, 0, 2, 2, 1, 0] pubkeycol1133 = [3, 3, 3, 1, 0, 2, 4, 0, 2, 3, 2, 4, 4, 2, 0, 0, 2, 0, 1, 0, 4, 0, 4, 4, 3, 3, 2, 3, 2, 1, 1, 2, 2, 0, 0, 3, 4, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 4, 1, 4, 1, 1, 4, 0, 2, 1, 1, 4, 2, 0, 0, 1, 3, 2, 1, 0, 3, 4, 4, 3, 0, 4, 0, 4, 4, 4, 4, 1, 3, 0, 2, 2, 3, 4, 0, 3, 1, 2, 3, 0, 2, 3, 3, 4, 1, 1, 3, 4, 0, 2, 1, 1, 2, 2, 1, 3, 0, 4, 3, 3, 4, 0, 4, 4, 4, 4, 3, 3, 3, 4, 2, 0, 4, 0, 2, 1, 3, 0, 3, 0, 2, 3, 3, 4, 1, 3, 2, 4, 1, 3, 4, 2, 3, 2, 2, 0, 1, 1, 0, 0, 3, 3, 1, 1, 2, 4, 2, 4, 0, 0, 2, 0, 3, 1, 4, 2, 2, 1, 2, 0, 0, 4, 1, 1, 1, 2, 3, 3, 0, 0, 3, 1, 3, 0, 4, 4, 4, 4, 0, 3, 3, 0, 0, 2, 0, 1, 0, 4, 1, 1, 0, 1, 1, 1, 0, 1, 4, 0, 0, 3, 3, 4, 0, 4, 1, 1, 1, 3, 4, 0, 4, 0, 0, 2, 4, 4, 4, 4, 1, 1, 4, 2, 0, 2, 3, 2, 3, 3, 3, 0, 3, 4, 3, 4, 3, 3, 4, 1, 2, 3, 2, 2, 2, 3, 4, 1, 4, 2, 0, 1, 0, 3, 3, 3, 1, 4, 0, 2, 3, 4, 1, 3, 4, 0, 2, 0, 1, 0, 3, 3, 2, 1, 4, 3, 2, 1, 2, 2, 4, 1, 3, 1, 3, 3, 3, 2, 2, 2, 1, 0, 0, 1, 0, 4, 4, 4, 1, 1, 1, 1, 0, 3, 2, 0, 0] pubkeycol1134 = [1, 2, 0, 3, 4, 1, 2, 0, 4, 0, 1, 2, 0, 0, 3, 4, 0, 4, 4, 1, 2, 0, 3, 1, 4, 3, 3, 1, 2, 0, 0, 0, 3, 1, 0, 1, 4, 1, 3, 0, 4, 3, 0, 4, 0, 3, 4, 0, 0, 4, 1, 2, 0, 0, 1, 4, 1, 3, 4, 2, 0, 0, 2, 4, 1, 1, 2, 3, 1, 2, 2, 4, 1, 4, 0, 1, 2, 0, 1, 1, 1, 1, 4, 1, 2, 4, 0, 4, 0, 3, 4, 2, 2, 4, 0, 4, 4, 1, 3, 3, 3, 3, 0, 1, 0, 3, 2, 0, 1, 2, 3, 4, 0, 3, 3, 1, 0, 4, 2, 3, 0, 4, 1, 3, 2, 0, 3, 3, 4, 3, 0, 3, 4, 3, 0, 3, 2, 2, 0, 3, 0, 2, 1, 1, 2, 2, 1, 2, 0, 4, 1, 4, 0, 0, 2, 2, 4, 0, 2, 0, 1, 3, 2, 2, 2, 3, 2, 0, 2, 4, 4, 2, 0, 0, 1, 0, 4, 3, 2, 1, 1, 0, 0, 1, 3, 1, 4, 2, 4, 0, 4, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 4, 2, 3, 4, 2, 4, 1, 0, 3, 0, 0, 2, 1, 1, 4, 0, 4, 2, 2, 0, 4, 2, 2, 0, 1, 3, 0, 3, 2, 3, 2, 3, 2, 0, 2, 0, 2, 3, 2, 4, 0, 1, 1, 4, 0, 1, 4, 1, 2, 1, 3, 3, 0, 4, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 3, 1, 3, 3, 2, 3, 3, 4, 2, 1, 3, 0, 0, 2, 3, 2, 3, 2, 1, 4, 1, 2, 3, 4, 2, 4, 4, 2, 4, 2, 2, 1, 3, 0, 0, 0, 2, 3, 0, 2, 0, 0, 4, 3, 0, 1, 4, 0, 3, 4, 1, 3, 4] pubkeycol1135 = [2, 0, 4, 0, 3, 0, 2, 4, 0, 3, 3, 0, 4, 0, 2, 0, 0, 0, 3, 0, 0, 4, 2, 3, 4, 4, 4, 3, 0, 4, 2, 1, 0, 3, 3, 2, 2, 3, 3, 0, 3, 1, 0, 2, 4, 0, 0, 2, 0, 4, 3, 2, 3, 1, 3, 1, 0, 1, 0, 3, 3, 4, 1, 2, 3, 1, 4, 4, 4, 3, 0, 4, 1, 1, 1, 3, 4, 4, 4, 4, 2, 0, 0, 1, 1, 0, 0, 4, 3, 3, 3, 0, 1, 0, 0, 4, 1, 3, 4, 1, 2, 2, 1, 0, 3, 1, 0, 0, 4, 4, 0, 0, 3, 0, 1, 0, 2, 4, 3, 3, 1, 3, 3, 4, 1, 2, 4, 2, 0, 4, 0, 1, 1, 3, 2, 4, 2, 4, 3, 4, 4, 1, 0, 4, 1, 0, 2, 3, 4, 0, 2, 1, 3, 0, 4, 3, 3, 4, 4, 0, 3, 0, 0, 0, 2, 3, 3, 1, 0, 3, 1, 0, 4, 1, 2, 4, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 4, 1, 3, 1, 3, 3, 3, 4, 4, 3, 1, 2, 1, 0, 2, 2, 3, 3, 2, 3, 0, 3, 3, 4, 0, 2, 0, 2, 1, 3, 0, 3, 0, 0, 3, 3, 3, 4, 0, 4, 2, 4, 2, 4, 0, 3, 3, 4, 1, 0, 2, 4, 0, 0, 1, 4, 0, 2, 3, 1, 2, 2, 3, 4, 2, 1, 2, 4, 3, 4, 0, 1, 2, 1, 4, 1, 4, 3, 0, 4, 4, 4, 0, 0, 2, 3, 4, 2, 0, 0, 3, 2, 1, 4, 0, 2, 4, 0, 0, 2, 0, 3, 0, 1, 2, 3, 3, 3, 3, 1, 4, 2, 4, 3, 0, 4, 2, 3, 2, 1, 2, 1, 3, 4, 3, 2, 2, 3, 3, 3, 4, 4, 1, 4] pubkeycol1136 = [4, 3, 3, 0, 2, 3, 2, 1, 1, 3, 3, 4, 0, 3, 1, 0, 4, 0, 1, 0, 2, 0, 0, 0, 0, 1, 3, 1, 3, 3, 0, 3, 1, 0, 0, 1, 1, 0, 0, 4, 3, 0, 3, 4, 4, 1, 1, 4, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 4, 1, 1, 1, 1, 2, 3, 3, 2, 0, 0, 2, 1, 4, 1, 2, 2, 1, 3, 2, 3, 3, 4, 3, 3, 1, 4, 1, 0, 1, 3, 2, 2, 0, 1, 0, 0, 1, 4, 1, 0, 3, 1, 3, 1, 4, 1, 1, 1, 4, 3, 0, 4, 1, 2, 3, 3, 1, 2, 1, 4, 3, 1, 2, 2, 4, 4, 3, 3, 3, 2, 0, 3, 2, 1, 2, 3, 3, 3, 1, 2, 3, 0, 3, 1, 3, 1, 0, 2, 0, 1, 1, 0, 0, 3, 1, 0, 3, 4, 0, 0, 0, 0, 4, 2, 1, 0, 3, 3, 4, 2, 4, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 3, 4, 0, 4, 3, 3, 3, 2, 0, 3, 3, 3, 4, 2, 4, 1, 0, 2, 2, 3, 2, 4, 3, 2, 4, 3, 2, 2, 0, 2, 0, 2, 1, 2, 3, 1, 3, 2, 1, 4, 1, 0, 0, 2, 3, 1, 1, 3, 1, 3, 3, 4, 4, 4, 2, 1, 2, 1, 0, 0, 3, 2, 3, 1, 4, 4, 0, 2, 1, 2, 3, 3, 0, 3, 4, 1, 4, 4, 0, 3, 0, 1, 1, 0, 4, 1, 4, 4, 0, 3, 2, 2, 1, 4, 4, 1, 1, 3, 4, 0, 1, 3, 1, 2, 1, 2, 0, 3, 4, 1, 2, 2, 2, 1, 3, 3, 3, 1, 4, 1, 2, 3, 4, 2, 1, 0, 2, 0, 0, 0, 4, 2, 4, 3, 2, 3, 2, 1, 1, 0] pubkeycol1137 = [2, 1, 3, 2, 0, 2, 4, 2, 1, 1, 3, 3, 3, 4, 2, 3, 0, 2, 2, 1, 2, 4, 3, 3, 4, 2, 0, 4, 0, 4, 1, 1, 3, 4, 3, 0, 2, 4, 0, 2, 1, 1, 1, 2, 3, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 4, 3, 4, 4, 4, 0, 2, 3, 2, 4, 4, 0, 3, 3, 3, 2, 4, 1, 3, 2, 0, 1, 1, 4, 1, 3, 0, 4, 2, 0, 1, 0, 1, 4, 2, 1, 2, 3, 1, 4, 3, 1, 1, 3, 0, 2, 1, 1, 3, 3, 1, 0, 3, 2, 3, 0, 3, 0, 2, 0, 3, 2, 2, 3, 1, 2, 2, 1, 0, 2, 3, 0, 2, 2, 4, 1, 2, 1, 3, 0, 4, 4, 1, 0, 0, 3, 0, 4, 1, 2, 0, 0, 4, 4, 1, 4, 0, 2, 4, 2, 4, 0, 3, 4, 4, 0, 3, 0, 1, 0, 3, 3, 0, 0, 2, 3, 1, 0, 3, 3, 0, 2, 0, 4, 4, 2, 3, 3, 2, 0, 0, 2, 1, 4, 2, 3, 0, 4, 0, 2, 3, 1, 2, 2, 1, 4, 1, 0, 0, 2, 1, 4, 4, 0, 4, 2, 1, 2, 3, 1, 4, 0, 0, 0, 2, 2, 2, 1, 4, 0, 3, 3, 4, 4, 0, 3, 0, 2, 4, 3, 2, 4, 2, 2, 3, 2, 1, 2, 0, 0, 3, 2, 0, 3, 3, 4, 4, 1, 3, 3, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 3, 2, 1, 3, 4, 4, 3, 2, 2, 1, 1, 3, 4, 0, 0, 4, 3, 3, 4, 3, 1, 0, 4, 4, 2, 2, 0, 1, 1, 1, 1, 1, 4, 1, 2, 2, 4, 4, 0, 1, 2, 3, 0, 3, 3, 0, 2, 1, 0, 0, 0, 3, 0, 1] pubkeycol1138 = [1, 3, 3, 1, 1, 4, 0, 4, 3, 3, 1, 4, 1, 3, 0, 4, 2, 4, 0, 4, 1, 1, 4, 2, 3, 2, 2, 0, 1, 0, 3, 1, 4, 3, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 4, 0, 1, 4, 3, 1, 1, 1, 0, 4, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 4, 4, 0, 3, 3, 4, 2, 4, 2, 2, 1, 3, 3, 4, 0, 2, 1, 4, 2, 1, 1, 2, 3, 0, 4, 0, 1, 3, 4, 1, 1, 0, 0, 2, 4, 3, 4, 2, 3, 2, 1, 3, 4, 0, 0, 2, 4, 4, 1, 0, 0, 2, 0, 1, 2, 4, 3, 1, 0, 0, 1, 2, 4, 3, 2, 2, 2, 3, 3, 0, 3, 4, 3, 2, 0, 2, 2, 3, 0, 0, 0, 0, 3, 4, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 4, 3, 3, 0, 0, 3, 4, 3, 4, 2, 2, 2, 2, 2, 2, 2, 0, 4, 1, 1, 4, 4, 2, 0, 1, 1, 4, 0, 3, 4, 0, 4, 3, 1, 1, 1, 3, 1, 1, 1, 1, 2, 4, 2, 1, 3, 0, 4, 4, 1, 1, 0, 2, 2, 4, 3, 0, 3, 3, 2, 0, 3, 2, 3, 1, 2, 2, 0, 1, 4, 1, 1, 4, 0, 1, 1, 2, 3, 0, 3, 0, 2, 4, 3, 2, 0, 1, 3, 0, 4, 3, 3, 3, 2, 0, 2, 1, 3, 4, 4, 4, 2, 4, 4, 1, 0, 4, 4, 4, 0, 2, 4, 1, 2, 3, 2, 1, 1, 1, 3, 2, 3, 1, 1, 1, 4, 4, 0, 0, 1, 4, 1, 2, 2, 2, 1, 4, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 1, 4, 1, 2, 2, 2, 1, 1, 1, 3, 0, 4, 1, 0] pubkeycol1139 = [3, 2, 3, 3, 1, 1, 1, 1, 2, 4, 1, 2, 2, 3, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 4, 3, 1, 1, 2, 2, 2, 2, 1, 0, 3, 4, 4, 4, 2, 1, 1, 1, 1, 4, 1, 1, 4, 0, 3, 3, 0, 3, 2, 0, 2, 1, 4, 0, 3, 2, 1, 2, 4, 3, 1, 1, 4, 1, 2, 1, 0, 3, 1, 0, 2, 2, 3, 0, 2, 3, 4, 4, 0, 1, 3, 0, 4, 1, 1, 3, 4, 2, 1, 3, 1, 0, 4, 3, 2, 4, 2, 0, 1, 0, 1, 2, 0, 1, 0, 4, 1, 3, 0, 4, 0, 0, 2, 4, 0, 1, 1, 4, 4, 4, 2, 1, 1, 2, 2, 1, 1, 0, 4, 3, 4, 2, 3, 3, 0, 1, 4, 2, 2, 2, 4, 2, 2, 3, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 4, 3, 2, 4, 0, 1, 1, 1, 3, 0, 3, 0, 0, 0, 4, 1, 0, 0, 1, 4, 1, 0, 3, 4, 4, 1, 0, 1, 0, 0, 0, 3, 4, 3, 2, 4, 0, 0, 1, 2, 4, 0, 3, 0, 0, 1, 4, 3, 3, 4, 0, 0, 0, 0, 2, 4, 0, 3, 2, 4, 2, 3, 3, 0, 2, 4, 3, 1, 3, 4, 1, 2, 2, 4, 4, 2, 4, 2, 2, 3, 1, 1, 4, 4, 1, 1, 4, 1, 2, 0, 0, 1, 2, 3, 3, 0, 1, 4, 4, 2, 0, 0, 1, 2, 4, 3, 1, 2, 1, 3, 1, 3, 3, 0, 2, 2, 4, 0, 1, 4, 1, 0, 3, 3, 1, 2, 3, 1, 0, 3, 1, 1, 4, 1, 0, 4, 3, 2, 4, 2, 1, 1, 3, 0, 0, 2, 3, 1, 4, 2, 2, 4, 4, 4, 2, 2, 3, 0] pubkeycol1140 = [3, 3, 3, 4, 3, 2, 1, 4, 0, 4, 2, 3, 3, 2, 2, 1, 2, 0, 2, 0, 2, 3, 2, 0, 2, 3, 4, 2, 2, 0, 2, 3, 1, 4, 4, 3, 2, 1, 1, 4, 0, 4, 4, 0, 0, 3, 4, 2, 3, 3, 2, 0, 1, 1, 3, 0, 3, 4, 4, 3, 4, 2, 0, 1, 1, 4, 4, 4, 0, 1, 0, 3, 4, 1, 3, 3, 1, 4, 0, 1, 2, 1, 2, 4, 1, 4, 0, 4, 1, 3, 3, 0, 3, 4, 1, 4, 4, 4, 0, 3, 3, 4, 1, 3, 3, 2, 2, 3, 1, 0, 0, 1, 3, 3, 1, 2, 2, 4, 0, 4, 2, 2, 2, 4, 0, 0, 0, 3, 3, 4, 3, 2, 0, 3, 4, 4, 4, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 4, 1, 0, 3, 3, 3, 0, 3, 4, 0, 0, 2, 3, 4, 4, 0, 0, 3, 2, 4, 1, 2, 3, 3, 2, 2, 3, 1, 0, 2, 1, 4, 0, 3, 3, 1, 4, 0, 4, 3, 2, 3, 3, 2, 4, 2, 1, 3, 4, 3, 0, 2, 1, 0, 4, 4, 0, 1, 1, 3, 1, 4, 2, 3, 3, 2, 1, 0, 0, 4, 3, 3, 1, 2, 3, 3, 4, 3, 0, 1, 3, 3, 1, 3, 2, 0, 0, 0, 3, 0, 0, 3, 4, 0, 1, 4, 1, 1, 2, 0, 0, 1, 4, 4, 4, 2, 2, 2, 2, 0, 4, 3, 1, 4, 0, 0, 3, 4, 1, 0, 1, 0, 3, 3, 2, 3, 1, 4, 0, 2, 0, 0, 0, 2, 3, 1, 4, 1, 0, 1, 0, 0, 2, 4, 1, 4, 3, 0, 2, 1, 2, 2, 4, 0, 0, 0, 4, 1, 0, 1, 0, 3, 1, 0, 4, 3, 1, 4, 0, 3, 2, 2, 2] pubkeycol1141 = [0, 0, 3, 2, 1, 0, 3, 0, 1, 4, 2, 4, 3, 2, 4, 4, 1, 2, 3, 0, 1, 0, 0, 4, 3, 3, 2, 3, 2, 3, 3, 3, 4, 0, 2, 4, 3, 1, 3, 0, 0, 2, 1, 1, 0, 0, 2, 2, 4, 3, 2, 0, 2, 3, 3, 2, 0, 3, 1, 3, 3, 2, 0, 4, 3, 0, 3, 2, 1, 0, 2, 0, 0, 1, 4, 4, 4, 2, 0, 3, 4, 2, 4, 1, 4, 4, 3, 4, 2, 2, 2, 4, 0, 2, 2, 4, 2, 4, 3, 3, 0, 0, 1, 2, 2, 2, 2, 4, 3, 3, 0, 2, 2, 2, 1, 4, 3, 1, 0, 0, 3, 0, 3, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 4, 1, 3, 3, 1, 1, 4, 3, 2, 4, 3, 1, 2, 0, 2, 1, 4, 2, 2, 3, 1, 3, 1, 1, 1, 0, 1, 3, 4, 1, 3, 2, 3, 1, 2, 3, 1, 3, 2, 0, 0, 2, 1, 2, 2, 4, 3, 0, 1, 1, 2, 4, 1, 2, 0, 3, 0, 0, 4, 3, 0, 0, 2, 4, 4, 4, 3, 3, 0, 1, 0, 1, 3, 1, 2, 1, 4, 3, 0, 1, 2, 1, 0, 1, 4, 2, 4, 1, 2, 4, 1, 3, 4, 1, 3, 4, 3, 2, 1, 1, 2, 4, 4, 4, 3, 0, 2, 0, 2, 4, 0, 4, 0, 3, 3, 0, 2, 4, 4, 2, 0, 1, 3, 0, 2, 0, 4, 3, 1, 3, 1, 4, 3, 3, 3, 2, 2, 0, 4, 2, 2, 4, 3, 2, 1, 1, 2, 1, 4, 4, 1, 3, 4, 1, 4, 3, 4, 4, 2, 4, 1, 1, 2, 1, 2, 4, 3, 3, 0, 2, 0, 2, 3, 4, 1, 1, 2, 1, 3, 4, 1, 2, 3, 0, 4, 1, 1] pubkeycol1142 = [2, 1, 4, 0, 2, 4, 2, 2, 1, 0, 1, 1, 2, 1, 3, 4, 1, 2, 0, 2, 0, 4, 2, 3, 1, 3, 1, 0, 1, 4, 0, 3, 3, 2, 4, 2, 0, 2, 2, 1, 0, 2, 1, 3, 1, 3, 2, 2, 4, 0, 4, 3, 2, 3, 0, 1, 0, 3, 1, 0, 3, 3, 0, 4, 2, 3, 3, 3, 3, 3, 0, 1, 4, 2, 0, 4, 2, 1, 1, 1, 4, 1, 4, 3, 1, 4, 1, 3, 0, 2, 3, 4, 4, 0, 0, 0, 4, 1, 0, 1, 2, 3, 1, 4, 0, 1, 1, 1, 0, 1, 4, 3, 2, 1, 4, 0, 3, 3, 1, 1, 3, 2, 3, 1, 3, 4, 2, 3, 0, 2, 4, 0, 3, 4, 0, 0, 2, 2, 4, 2, 3, 2, 3, 4, 2, 1, 2, 4, 2, 2, 3, 2, 0, 3, 4, 3, 1, 3, 3, 2, 0, 0, 0, 4, 3, 0, 1, 3, 1, 4, 1, 2, 0, 1, 0, 1, 3, 4, 1, 0, 3, 1, 0, 4, 0, 3, 4, 2, 4, 4, 4, 3, 0, 2, 1, 4, 3, 0, 3, 2, 4, 2, 1, 3, 0, 3, 2, 3, 3, 2, 0, 1, 3, 3, 4, 2, 2, 3, 4, 0, 4, 0, 1, 4, 0, 0, 3, 0, 3, 3, 3, 4, 1, 4, 1, 2, 1, 2, 4, 0, 3, 4, 2, 4, 2, 1, 3, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 3, 2, 0, 2, 1, 3, 0, 4, 2, 0, 4, 2, 0, 4, 1, 1, 3, 3, 2, 1, 2, 2, 3, 0, 3, 1, 3, 0, 1, 3, 4, 4, 4, 4, 4, 4, 0, 2, 1, 1, 0, 0, 1, 1, 3, 4, 4, 0, 2, 4, 1, 1, 4, 1, 3, 3, 3, 2, 3, 2, 0] pubkeycol1143 = [2, 3, 0, 4, 0, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 2, 2, 3, 0, 0, 3, 4, 3, 2, 3, 0, 4, 4, 4, 1, 3, 4, 3, 1, 2, 1, 3, 4, 4, 0, 4, 3, 3, 3, 1, 3, 4, 2, 0, 3, 4, 3, 3, 3, 2, 3, 3, 1, 1, 0, 0, 4, 3, 4, 2, 2, 1, 3, 4, 1, 2, 2, 4, 0, 2, 4, 4, 2, 4, 3, 3, 4, 2, 3, 0, 1, 3, 3, 4, 1, 0, 1, 1, 4, 1, 1, 2, 3, 0, 3, 3, 2, 1, 2, 2, 3, 3, 4, 4, 2, 2, 0, 4, 0, 3, 4, 4, 4, 4, 4, 2, 0, 1, 3, 2, 0, 2, 4, 3, 3, 3, 4, 4, 0, 1, 0, 0, 3, 4, 1, 3, 1, 0, 4, 0, 0, 3, 1, 0, 4, 4, 2, 0, 2, 4, 1, 4, 4, 1, 3, 0, 0, 3, 1, 1, 1, 1, 0, 0, 1, 4, 3, 4, 1, 1, 0, 4, 3, 2, 3, 1, 1, 0, 4, 0, 0, 4, 0, 3, 1, 3, 0, 3, 4, 2, 2, 4, 4, 4, 2, 0, 2, 2, 2, 0, 3, 0, 3, 1, 2, 0, 1, 4, 3, 4, 1, 1, 0, 1, 3, 3, 4, 0, 3, 4, 3, 0, 1, 4, 2, 1, 3, 4, 1, 3, 3, 0, 0, 1, 1, 4, 3, 4, 3, 1, 1, 3, 0, 2, 1, 0, 1, 4, 0, 2, 2, 0, 3, 4, 3, 0, 2, 4, 3, 3, 1, 1, 3, 2, 3, 0, 1, 0, 4, 1, 0, 3, 2, 0, 0, 3, 1, 2, 2, 2, 2, 4, 1, 3, 1, 3, 3, 2, 3, 2, 1, 4, 3, 3, 2, 4, 2, 4, 1, 2, 3, 0, 0, 3, 4, 3, 0, 2, 3, 1, 4, 1, 0, 3] pubkeycol1144 = [0, 1, 4, 1, 2, 0, 0, 2, 3, 2, 0, 1, 2, 1, 2, 2, 4, 0, 0, 1, 2, 4, 1, 2, 1, 3, 4, 4, 0, 0, 4, 2, 3, 3, 4, 2, 3, 2, 2, 2, 0, 4, 4, 2, 3, 2, 0, 3, 3, 3, 0, 0, 2, 0, 2, 1, 1, 4, 3, 1, 3, 1, 1, 2, 2, 4, 3, 0, 2, 3, 4, 1, 1, 0, 2, 4, 1, 3, 1, 3, 4, 3, 0, 1, 4, 1, 1, 4, 3, 0, 3, 2, 3, 1, 2, 3, 4, 1, 1, 3, 0, 2, 3, 4, 3, 1, 0, 0, 1, 3, 1, 2, 4, 0, 4, 0, 4, 4, 0, 2, 0, 4, 4, 2, 4, 1, 0, 3, 2, 2, 0, 3, 4, 0, 4, 4, 1, 1, 2, 4, 3, 1, 3, 3, 1, 4, 1, 0, 3, 2, 1, 3, 1, 3, 4, 3, 0, 0, 3, 2, 0, 2, 0, 1, 1, 3, 0, 1, 1, 2, 3, 4, 1, 4, 1, 3, 0, 2, 3, 3, 1, 3, 1, 3, 2, 2, 0, 1, 0, 1, 2, 3, 3, 2, 0, 1, 2, 2, 2, 3, 3, 2, 0, 4, 2, 0, 1, 1, 0, 2, 1, 2, 4, 0, 4, 4, 2, 3, 4, 0, 4, 0, 3, 1, 2, 2, 4, 1, 3, 3, 4, 1, 2, 1, 1, 1, 1, 4, 3, 4, 0, 1, 1, 0, 0, 3, 2, 3, 2, 2, 1, 4, 1, 4, 0, 2, 3, 2, 2, 3, 4, 0, 3, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 3, 0, 4, 2, 1, 1, 2, 4, 1, 4, 2, 1, 1, 3, 4, 3, 4, 2, 2, 2, 3, 2, 2, 4, 0, 1, 3, 2, 4, 3, 3, 2, 1, 2, 3, 1, 4, 3, 0, 2, 1, 3, 0, 2, 1, 0, 4] pubkeycol1145 = [3, 4, 0, 4, 0, 0, 3, 0, 4, 3, 4, 2, 4, 0, 1, 4, 1, 3, 3, 4, 3, 3, 2, 3, 1, 3, 2, 4, 1, 1, 3, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 4, 3, 3, 0, 4, 0, 2, 1, 2, 2, 0, 4, 2, 0, 0, 1, 4, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 1, 0, 0, 0, 2, 4, 2, 4, 2, 4, 4, 4, 4, 3, 4, 1, 1, 0, 4, 1, 1, 1, 1, 4, 0, 2, 4, 2, 3, 4, 4, 2, 4, 0, 0, 4, 2, 2, 3, 2, 0, 4, 3, 0, 4, 0, 1, 4, 2, 3, 1, 2, 1, 1, 0, 0, 4, 0, 0, 3, 0, 1, 3, 1, 0, 4, 2, 3, 2, 1, 1, 2, 1, 3, 3, 2, 0, 3, 0, 1, 1, 4, 2, 2, 1, 2, 2, 4, 4, 4, 3, 4, 3, 1, 3, 2, 3, 3, 3, 4, 4, 2, 1, 3, 3, 4, 4, 1, 4, 1, 3, 0, 4, 4, 1, 3, 2, 3, 1, 2, 1, 2, 3, 0, 3, 3, 0, 3, 1, 2, 2, 3, 2, 4, 4, 1, 0, 0, 3, 4, 2, 0, 1, 1, 2, 3, 0, 2, 4, 2, 4, 1, 1, 1, 3, 1, 1, 4, 3, 2, 2, 1, 2, 0, 3, 4, 3, 2, 2, 2, 3, 3, 3, 2, 0, 1, 1, 0, 3, 0, 4, 4, 0, 0, 2, 0, 0, 2, 1, 3, 1, 0, 3, 3, 0, 0, 2, 0, 4, 4, 4, 1, 3, 1, 1, 3, 3, 1, 4, 0, 4, 1, 0, 2, 4, 2, 0, 1, 1, 4, 1, 2, 3, 2, 4, 3, 2, 2, 4, 0, 0, 0, 1, 0, 0, 0, 4, 2, 2, 2, 2, 1, 3, 2, 4, 4, 3, 2, 0, 4, 2] pubkeycol1146 = [1, 0, 3, 4, 3, 0, 2, 0, 2, 4, 3, 3, 1, 4, 1, 3, 3, 1, 2, 2, 1, 4, 1, 2, 2, 3, 1, 4, 2, 0, 1, 4, 2, 3, 1, 2, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 3, 0, 2, 3, 2, 2, 2, 3, 3, 2, 4, 1, 4, 1, 3, 2, 1, 3, 0, 4, 3, 1, 4, 0, 3, 0, 1, 2, 1, 4, 4, 4, 1, 1, 4, 1, 2, 4, 4, 0, 4, 4, 4, 2, 0, 1, 1, 2, 0, 3, 0, 0, 2, 1, 0, 3, 0, 2, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 0, 2, 2, 3, 3, 1, 1, 1, 2, 2, 4, 0, 0, 3, 0, 1, 1, 1, 3, 2, 0, 0, 0, 2, 4, 4, 3, 2, 2, 3, 4, 0, 1, 4, 0, 4, 1, 0, 2, 0, 1, 1, 4, 4, 3, 2, 0, 2, 0, 1, 0, 4, 3, 2, 1, 4, 0, 1, 0, 4, 1, 0, 2, 4, 3, 4, 3, 1, 4, 3, 1, 2, 3, 0, 0, 4, 4, 2, 0, 0, 0, 3, 3, 3, 4, 3, 0, 3, 3, 1, 1, 1, 1, 3, 1, 2, 2, 1, 0, 3, 4, 2, 0, 4, 4, 4, 2, 4, 3, 0, 1, 2, 0, 4, 3, 4, 3, 3, 4, 0, 0, 1, 2, 3, 4, 0, 1, 0, 2, 4, 0, 3, 1, 1, 3, 3, 2, 3, 2, 4, 2, 4, 0, 1, 2, 3, 3, 1, 2, 4, 0, 2, 1, 4, 4, 2, 4, 4, 4, 4, 4, 3, 0, 3, 0, 3, 0, 3, 3, 1, 1, 0, 0, 2, 2, 4, 4, 4, 3, 3, 2, 1, 0, 4, 2, 3, 3, 2, 3, 2, 1, 0, 1, 4, 0, 2, 0, 2, 4, 3, 4, 1, 4, 2, 2, 2] pubkeycol1147 = [1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 4, 1, 4, 4, 4, 1, 0, 0, 0, 3, 2, 4, 2, 2, 2, 0, 4, 0, 4, 1, 1, 3, 4, 4, 0, 0, 3, 4, 3, 2, 0, 2, 4, 2, 1, 2, 0, 4, 1, 1, 0, 4, 0, 4, 4, 0, 3, 0, 2, 0, 3, 1, 4, 4, 1, 3, 0, 4, 2, 0, 1, 1, 2, 3, 4, 1, 0, 4, 1, 4, 3, 1, 1, 1, 0, 1, 2, 4, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 4, 3, 3, 0, 3, 4, 0, 4, 2, 2, 0, 3, 1, 4, 0, 3, 0, 2, 4, 0, 0, 1, 3, 2, 4, 2, 0, 2, 0, 1, 3, 1, 2, 4, 0, 4, 0, 3, 2, 1, 0, 0, 4, 2, 0, 1, 3, 4, 4, 1, 4, 2, 2, 0, 2, 1, 1, 4, 2, 1, 2, 3, 4, 2, 2, 4, 1, 2, 4, 3, 4, 1, 0, 3, 0, 3, 4, 1, 1, 0, 0, 4, 3, 0, 3, 1, 3, 2, 2, 0, 4, 0, 3, 0, 0, 3, 1, 1, 4, 3, 4, 0, 4, 2, 4, 4, 0, 0, 2, 1, 0, 1, 0, 2, 4, 0, 4, 3, 3, 4, 0, 0, 2, 4, 0, 4, 1, 3, 0, 4, 0, 1, 3, 1, 0, 4, 0, 4, 4, 2, 2, 1, 4, 2, 4, 3, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 4, 0, 0, 3, 3, 3, 1, 4, 0, 2, 0, 4, 1, 4, 3, 4, 1, 2, 2, 0, 3, 0, 4, 1, 4, 2, 1, 1, 0, 4, 4, 3, 3, 0, 3, 1, 0, 0, 3, 4, 2, 2, 3, 2, 1, 0, 2, 1, 2, 2, 1, 0, 3, 1, 0, 2, 0, 4, 2, 1, 4, 1, 4, 0, 4, 4] pubkeycol1148 = [3, 2, 4, 1, 2, 0, 4, 2, 1, 0, 0, 0, 1, 1, 1, 4, 0, 1, 4, 0, 0, 2, 1, 3, 1, 4, 0, 3, 0, 3, 0, 1, 0, 0, 2, 1, 3, 4, 4, 1, 0, 0, 1, 2, 1, 3, 4, 1, 1, 3, 3, 2, 2, 4, 4, 3, 3, 1, 0, 1, 0, 3, 3, 2, 4, 2, 1, 4, 4, 4, 1, 1, 3, 0, 0, 3, 1, 1, 1, 3, 0, 1, 2, 2, 2, 4, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 3, 1, 0, 4, 2, 1, 3, 4, 1, 1, 4, 2, 0, 1, 4, 4, 0, 0, 4, 2, 3, 4, 2, 3, 3, 2, 1, 1, 3, 3, 1, 1, 4, 0, 4, 1, 2, 4, 3, 0, 4, 4, 4, 1, 0, 2, 4, 3, 2, 2, 0, 0, 2, 0, 1, 3, 0, 4, 3, 4, 4, 3, 4, 4, 0, 4, 0, 1, 2, 0, 2, 4, 1, 1, 4, 3, 1, 1, 1, 1, 4, 0, 4, 3, 3, 4, 3, 0, 0, 2, 3, 3, 1, 1, 2, 2, 1, 4, 4, 3, 0, 2, 3, 0, 0, 3, 4, 4, 2, 1, 4, 2, 4, 3, 1, 0, 3, 4, 4, 1, 0, 0, 4, 3, 3, 1, 4, 2, 3, 0, 2, 0, 1, 3, 3, 3, 3, 1, 1, 1, 1, 0, 4, 2, 3, 0, 3, 3, 3, 1, 2, 3, 1, 4, 3, 0, 4, 1, 0, 3, 4, 1, 3, 4, 0, 0, 4, 1, 2, 0, 1, 4, 3, 4, 4, 1, 0, 3, 0, 2, 2, 3, 3, 3, 2, 0, 0, 1, 3, 0, 1, 0, 0, 2, 2, 1, 2, 0, 4, 3, 1, 1, 3, 4, 1, 3, 3, 1, 1, 2, 0, 1, 4, 4, 3, 0, 0, 3, 4, 0, 0, 4] pubkeycol1149 = [2, 3, 4, 2, 2, 0, 4, 2, 2, 1, 0, 3, 2, 4, 4, 0, 2, 4, 3, 1, 4, 1, 3, 4, 3, 1, 0, 2, 3, 4, 4, 0, 1, 3, 0, 3, 3, 4, 3, 4, 2, 2, 1, 2, 3, 0, 4, 4, 3, 2, 1, 2, 4, 1, 4, 2, 2, 4, 3, 0, 4, 4, 2, 4, 3, 1, 2, 1, 3, 1, 3, 3, 1, 0, 3, 0, 3, 3, 1, 0, 3, 1, 3, 1, 0, 3, 3, 4, 1, 0, 2, 3, 2, 1, 4, 4, 3, 4, 1, 3, 3, 3, 0, 2, 4, 0, 1, 4, 0, 0, 0, 1, 1, 4, 2, 3, 4, 0, 3, 3, 3, 4, 4, 2, 0, 1, 3, 3, 0, 3, 4, 4, 2, 0, 3, 2, 2, 1, 4, 1, 1, 2, 2, 3, 0, 0, 2, 2, 2, 4, 2, 4, 0, 1, 4, 4, 0, 4, 1, 1, 4, 2, 0, 0, 3, 4, 2, 0, 1, 2, 4, 0, 0, 3, 4, 3, 4, 2, 1, 1, 4, 0, 4, 1, 0, 1, 1, 2, 1, 2, 1, 3, 4, 1, 3, 4, 2, 3, 3, 1, 1, 4, 0, 4, 1, 2, 1, 4, 2, 3, 0, 3, 2, 1, 3, 1, 2, 1, 4, 0, 1, 1, 2, 0, 3, 4, 4, 4, 3, 4, 4, 0, 2, 2, 4, 4, 0, 2, 3, 2, 0, 1, 1, 0, 0, 3, 2, 0, 3, 0, 3, 3, 0, 4, 1, 4, 0, 1, 0, 0, 0, 3, 2, 4, 2, 0, 2, 3, 0, 2, 4, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 0, 1, 3, 3, 1, 4, 2, 1, 4, 2, 3, 3, 2, 2, 4, 2, 4, 4, 0, 4, 0, 4, 1, 1, 4, 2, 1, 1, 4, 3, 3, 3, 2, 3, 1, 2, 4, 0, 1] pubkeycol1150 = [2, 3, 3, 0, 0, 0, 4, 2, 1, 2, 3, 2, 0, 0, 0, 0, 3, 0, 4, 2, 3, 1, 3, 4, 3, 1, 1, 2, 1, 2, 0, 3, 2, 3, 3, 1, 1, 2, 3, 2, 1, 2, 3, 3, 1, 4, 4, 3, 3, 2, 1, 4, 1, 1, 4, 4, 2, 0, 2, 4, 1, 3, 1, 4, 3, 3, 3, 2, 0, 2, 2, 3, 4, 0, 1, 1, 3, 4, 0, 0, 1, 2, 4, 3, 3, 1, 0, 3, 2, 1, 2, 3, 4, 4, 3, 1, 0, 4, 3, 2, 0, 4, 1, 4, 1, 3, 1, 4, 4, 4, 0, 1, 0, 4, 1, 0, 4, 0, 3, 1, 0, 4, 4, 1, 4, 2, 4, 4, 2, 4, 2, 4, 1, 3, 1, 0, 2, 0, 4, 4, 2, 0, 4, 4, 1, 4, 4, 1, 2, 3, 1, 4, 4, 1, 4, 2, 0, 1, 4, 0, 3, 4, 2, 0, 4, 0, 2, 3, 1, 1, 2, 0, 1, 4, 4, 4, 4, 0, 3, 4, 0, 0, 0, 3, 3, 1, 3, 1, 1, 3, 4, 2, 3, 1, 3, 4, 1, 0, 3, 2, 1, 4, 1, 4, 3, 3, 4, 0, 4, 3, 1, 1, 1, 4, 0, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 1, 3, 2, 4, 1, 4, 2, 1, 0, 2, 1, 4, 3, 3, 3, 4, 1, 4, 0, 0, 1, 2, 3, 0, 2, 4, 0, 0, 2, 1, 1, 3, 3, 4, 1, 1, 1, 4, 4, 1, 0, 3, 4, 2, 1, 1, 2, 4, 1, 4, 3, 1, 4, 0, 3, 3, 1, 1, 1, 2, 1, 3, 0, 2, 4, 0, 1, 4, 4, 3, 2, 4, 0, 0, 3, 1, 4, 0, 3, 1, 4, 1, 3, 2, 1, 3, 0, 1, 2] pubkeycol1151 = [1, 4, 0, 3, 3, 2, 3, 1, 3, 4, 4, 4, 3, 0, 3, 1, 1, 3, 3, 2, 3, 3, 3, 1, 4, 0, 0, 3, 4, 1, 3, 2, 3, 4, 1, 3, 4, 3, 0, 1, 1, 2, 4, 1, 3, 0, 4, 0, 2, 3, 2, 4, 3, 0, 4, 3, 1, 0, 1, 3, 4, 2, 4, 0, 1, 1, 4, 1, 3, 1, 2, 1, 1, 3, 1, 1, 0, 3, 0, 2, 3, 4, 0, 2, 2, 0, 3, 0, 3, 0, 1, 3, 4, 0, 0, 1, 0, 1, 2, 4, 3, 2, 2, 0, 0, 1, 4, 2, 2, 3, 4, 3, 0, 2, 1, 4, 1, 1, 0, 4, 3, 0, 3, 0, 0, 0, 3, 2, 4, 1, 0, 0, 2, 0, 3, 3, 3, 1, 0, 2, 3, 4, 0, 3, 2, 1, 4, 1, 1, 2, 1, 1, 2, 3, 2, 0, 2, 0, 0, 3, 2, 1, 0, 1, 3, 3, 3, 4, 0, 3, 3, 4, 2, 4, 1, 1, 3, 4, 4, 3, 4, 4, 3, 0, 4, 4, 3, 1, 3, 3, 4, 3, 4, 1, 2, 4, 4, 3, 1, 4, 1, 1, 4, 0, 2, 3, 3, 4, 4, 1, 2, 4, 3, 4, 2, 0, 1, 0, 1, 4, 1, 0, 4, 0, 1, 2, 2, 0, 2, 1, 2, 0, 3, 1, 2, 2, 2, 0, 2, 0, 0, 0, 3, 3, 3, 2, 2, 1, 3, 0, 3, 3, 2, 0, 3, 4, 3, 3, 3, 0, 4, 0, 1, 3, 1, 2, 4, 3, 0, 0, 4, 2, 1, 2, 1, 2, 3, 4, 0, 4, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 0, 4, 0, 4, 4, 3, 3, 3, 0, 0, 4, 4, 2, 3, 4, 1, 1, 4, 2, 3, 2, 0, 0, 3, 2, 1, 0, 4, 0] pubkeycol1152 = [2, 1, 2, 0, 0, 1, 0, 4, 1, 1, 3, 4, 1, 4, 3, 3, 1, 2, 2, 2, 2, 0, 2, 0, 4, 4, 4, 2, 3, 4, 4, 3, 2, 0, 1, 0, 1, 1, 3, 1, 4, 1, 1, 1, 2, 1, 3, 4, 2, 2, 3, 4, 1, 3, 2, 3, 0, 4, 0, 0, 1, 0, 4, 3, 2, 1, 1, 2, 1, 1, 3, 3, 2, 1, 1, 3, 0, 2, 1, 3, 2, 0, 4, 2, 4, 4, 2, 3, 0, 0, 1, 2, 4, 3, 0, 1, 1, 0, 0, 1, 4, 4, 1, 4, 4, 4, 2, 0, 3, 3, 0, 1, 3, 0, 3, 1, 4, 0, 0, 4, 4, 0, 1, 1, 4, 2, 1, 0, 0, 3, 0, 3, 0, 3, 0, 4, 1, 3, 2, 3, 1, 2, 0, 1, 4, 2, 4, 4, 2, 0, 4, 0, 1, 2, 4, 3, 1, 2, 0, 1, 3, 4, 0, 1, 3, 0, 3, 1, 0, 3, 4, 1, 4, 2, 0, 3, 2, 1, 1, 0, 4, 3, 4, 3, 2, 0, 3, 4, 2, 4, 0, 3, 2, 1, 1, 4, 0, 0, 1, 0, 2, 0, 4, 1, 4, 4, 0, 3, 3, 4, 4, 1, 2, 2, 0, 0, 2, 4, 2, 4, 2, 3, 3, 4, 3, 2, 3, 1, 0, 2, 3, 4, 3, 0, 2, 2, 0, 2, 1, 0, 2, 3, 0, 1, 4, 2, 1, 4, 3, 3, 0, 0, 3, 2, 0, 1, 3, 3, 1, 2, 1, 3, 4, 4, 3, 4, 0, 2, 1, 4, 3, 1, 2, 2, 4, 4, 1, 4, 1, 4, 2, 1, 0, 1, 1, 4, 4, 0, 4, 1, 0, 3, 0, 4, 0, 3, 2, 2, 1, 3, 2, 0, 1, 2, 1, 2, 3, 2, 0, 0, 2, 2, 1, 3, 2, 3, 1, 3, 4, 1] pubkeycol1153 = [1, 0, 3, 1, 3, 1, 3, 3, 0, 2, 4, 2, 2, 4, 3, 1, 3, 0, 0, 0, 3, 2, 3, 0, 4, 0, 3, 0, 3, 1, 2, 4, 3, 0, 2, 3, 3, 4, 0, 0, 3, 3, 1, 4, 4, 1, 2, 1, 3, 3, 2, 1, 1, 1, 4, 4, 0, 3, 2, 2, 2, 1, 3, 4, 2, 3, 3, 4, 2, 3, 3, 3, 0, 1, 3, 0, 2, 0, 1, 4, 2, 4, 3, 2, 2, 4, 2, 4, 3, 0, 0, 3, 4, 2, 1, 4, 0, 0, 1, 1, 2, 4, 1, 0, 4, 3, 1, 3, 0, 0, 3, 0, 1, 4, 4, 1, 1, 1, 4, 1, 3, 3, 4, 1, 2, 2, 4, 4, 3, 3, 0, 3, 3, 2, 3, 0, 3, 3, 1, 3, 0, 1, 2, 3, 3, 3, 2, 0, 4, 1, 4, 4, 0, 1, 3, 4, 0, 1, 2, 1, 3, 0, 1, 4, 1, 4, 0, 2, 3, 2, 4, 3, 2, 1, 4, 1, 0, 3, 2, 3, 0, 2, 0, 2, 2, 1, 1, 3, 2, 4, 2, 3, 1, 1, 1, 2, 1, 4, 3, 4, 3, 0, 1, 2, 1, 2, 0, 1, 1, 0, 3, 2, 1, 1, 4, 3, 2, 1, 0, 1, 3, 0, 3, 3, 4, 3, 0, 1, 0, 4, 3, 2, 2, 0, 2, 0, 4, 4, 3, 1, 4, 2, 2, 0, 2, 2, 0, 1, 2, 3, 1, 4, 4, 1, 4, 0, 2, 0, 4, 4, 0, 3, 0, 3, 4, 1, 1, 3, 2, 0, 3, 0, 0, 1, 2, 0, 4, 2, 2, 0, 2, 0, 1, 4, 4, 2, 3, 4, 4, 0, 0, 4, 4, 3, 4, 3, 4, 1, 3, 4, 1, 3, 4, 0, 2, 1, 2, 1, 0, 3, 0, 0, 1, 2, 4, 4, 1, 0, 3, 0] pubkeycol1154 = [3, 0, 3, 4, 2, 3, 2, 2, 3, 4, 3, 4, 4, 3, 1, 1, 4, 4, 1, 0, 0, 2, 0, 3, 2, 3, 1, 4, 1, 0, 4, 4, 1, 0, 4, 0, 1, 1, 3, 0, 4, 3, 0, 3, 3, 3, 2, 2, 1, 3, 3, 2, 1, 4, 4, 0, 1, 4, 3, 2, 3, 2, 4, 0, 2, 3, 2, 2, 2, 3, 3, 3, 3, 1, 2, 1, 4, 4, 3, 2, 1, 3, 4, 0, 2, 3, 1, 4, 0, 1, 4, 4, 0, 2, 2, 0, 4, 0, 1, 1, 3, 1, 0, 0, 4, 3, 3, 2, 0, 1, 4, 1, 4, 2, 1, 4, 0, 2, 3, 4, 4, 2, 4, 1, 4, 3, 0, 4, 3, 1, 3, 3, 4, 1, 1, 3, 3, 1, 4, 4, 2, 0, 0, 3, 3, 0, 3, 3, 4, 4, 4, 3, 1, 4, 2, 2, 0, 0, 3, 4, 4, 2, 4, 0, 0, 1, 3, 2, 4, 2, 4, 1, 1, 4, 1, 1, 3, 0, 0, 3, 1, 3, 1, 2, 2, 4, 2, 0, 2, 4, 0, 2, 3, 2, 4, 2, 4, 0, 0, 0, 2, 3, 4, 2, 1, 4, 1, 2, 2, 3, 1, 2, 4, 0, 2, 1, 2, 1, 2, 3, 0, 0, 3, 0, 3, 0, 4, 1, 1, 4, 3, 2, 4, 0, 3, 0, 0, 0, 3, 2, 1, 0, 3, 2, 4, 1, 4, 4, 3, 3, 0, 3, 3, 2, 1, 1, 2, 1, 2, 1, 3, 2, 1, 2, 2, 2, 2, 4, 1, 4, 2, 1, 1, 4, 1, 2, 1, 1, 4, 2, 4, 1, 0, 0, 2, 3, 2, 3, 4, 0, 1, 2, 3, 1, 4, 1, 0, 4, 0, 4, 1, 1, 3, 3, 0, 1, 0, 2, 4, 0, 0, 2, 3, 4, 1, 0, 1, 3, 3, 0] pubkeycol1155 = [2, 3, 1, 2, 4, 3, 4, 2, 1, 1, 4, 3, 1, 0, 0, 1, 0, 2, 3, 1, 4, 2, 0, 0, 2, 4, 2, 2, 2, 0, 2, 0, 4, 4, 4, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 4, 1, 0, 1, 3, 1, 1, 0, 1, 4, 1, 0, 4, 2, 3, 2, 3, 1, 1, 0, 2, 3, 1, 1, 1, 0, 4, 4, 2, 1, 2, 1, 3, 1, 0, 1, 1, 3, 0, 3, 0, 0, 4, 0, 0, 2, 4, 0, 0, 4, 4, 3, 1, 1, 2, 3, 1, 0, 1, 3, 0, 0, 0, 4, 2, 4, 2, 4, 4, 0, 1, 3, 2, 3, 3, 1, 0, 1, 3, 0, 0, 0, 2, 2, 4, 1, 0, 0, 1, 2, 3, 3, 3, 0, 3, 1, 4, 0, 4, 0, 3, 4, 2, 2, 4, 2, 3, 0, 3, 1, 2, 4, 4, 2, 3, 0, 4, 2, 2, 4, 2, 3, 2, 3, 1, 3, 3, 1, 4, 1, 2, 4, 1, 0, 0, 4, 2, 2, 2, 4, 1, 2, 0, 1, 2, 1, 0, 0, 4, 1, 2, 2, 0, 1, 4, 1, 4, 4, 3, 2, 0, 0, 0, 2, 0, 1, 0, 3, 4, 2, 3, 1, 4, 4, 3, 4, 0, 2, 1, 1, 4, 0, 4, 2, 1, 4, 4, 0, 2, 4, 2, 2, 3, 3, 0, 4, 3, 1, 0, 1, 0, 4, 2, 2, 1, 4, 3, 4, 3, 0, 1, 1, 1, 4, 2, 1, 0, 3, 2, 3, 0, 4, 0, 4, 1, 4, 4, 3, 0, 2, 1, 0, 4, 4, 3, 2, 0, 1, 4, 4, 3, 2, 4, 0, 1, 3, 0, 3, 0, 1, 4, 1, 1, 1, 4, 0, 3, 4, 3, 4, 1, 0, 0, 2, 1, 4, 2, 0, 0, 2, 1, 1, 4, 1, 3] pubkeycol1156 = [2, 1, 0, 1, 1, 2, 3, 0, 2, 4, 4, 4, 1, 2, 2, 2, 2, 1, 1, 2, 3, 4, 2, 1, 2, 4, 2, 3, 2, 3, 0, 3, 0, 3, 2, 3, 3, 2, 2, 0, 4, 2, 3, 2, 3, 2, 1, 0, 1, 0, 2, 1, 1, 4, 1, 0, 3, 0, 4, 2, 1, 3, 2, 4, 1, 2, 4, 0, 0, 4, 3, 0, 4, 2, 2, 0, 2, 0, 1, 3, 1, 4, 0, 3, 3, 2, 2, 1, 0, 0, 4, 1, 1, 1, 4, 3, 2, 3, 3, 1, 2, 0, 1, 1, 0, 4, 1, 1, 0, 2, 3, 0, 4, 2, 2, 4, 2, 4, 0, 3, 1, 0, 4, 3, 4, 3, 0, 1, 3, 3, 0, 4, 4, 4, 1, 4, 2, 1, 4, 4, 3, 0, 4, 3, 3, 4, 3, 2, 2, 3, 0, 0, 4, 1, 3, 2, 3, 1, 0, 1, 3, 0, 0, 4, 2, 1, 1, 0, 1, 1, 4, 0, 0, 0, 4, 0, 4, 3, 3, 1, 1, 4, 0, 0, 3, 0, 2, 3, 1, 2, 2, 2, 1, 3, 2, 0, 3, 2, 1, 1, 3, 2, 1, 2, 2, 3, 2, 1, 4, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 4, 4, 0, 0, 1, 3, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 3, 2, 3, 4, 0, 0, 3, 3, 2, 3, 3, 3, 0, 4, 2, 3, 3, 3, 4, 4, 1, 1, 1, 0, 3, 3, 2, 1, 3, 0, 2, 1, 0, 2, 4, 3, 3, 3, 4, 1, 2, 4, 4, 4, 2, 4, 1, 1, 2, 4, 1, 0, 4, 2, 0, 0, 4, 4, 2, 2, 3, 0, 4, 3, 4, 3, 4, 1, 0, 1, 1, 4, 4, 1] pubkeycol1157 = [4, 4, 2, 3, 3, 2, 3, 3, 4, 4, 2, 3, 2, 2, 2, 4, 3, 3, 1, 0, 3, 4, 2, 1, 3, 3, 1, 3, 4, 1, 2, 2, 0, 1, 2, 3, 0, 1, 2, 2, 4, 1, 0, 1, 0, 4, 4, 2, 3, 3, 2, 0, 2, 0, 4, 2, 0, 4, 4, 2, 0, 1, 1, 4, 2, 3, 0, 2, 2, 4, 2, 1, 3, 2, 2, 1, 1, 0, 4, 4, 1, 2, 3, 0, 0, 0, 0, 4, 3, 3, 2, 0, 0, 4, 0, 4, 2, 3, 0, 0, 0, 3, 0, 4, 3, 0, 1, 1, 0, 2, 3, 1, 0, 4, 0, 0, 1, 2, 4, 1, 3, 3, 1, 4, 1, 0, 1, 3, 2, 3, 1, 3, 0, 0, 1, 3, 4, 2, 3, 4, 0, 2, 4, 2, 1, 2, 0, 2, 0, 2, 3, 2, 2, 2, 1, 1, 3, 0, 1, 2, 2, 4, 2, 0, 0, 1, 4, 0, 0, 4, 3, 1, 2, 1, 3, 0, 1, 3, 2, 4, 1, 0, 4, 0, 1, 4, 2, 4, 2, 1, 4, 2, 3, 4, 2, 3, 3, 3, 2, 3, 1, 1, 1, 3, 0, 1, 4, 4, 2, 4, 3, 0, 2, 4, 3, 2, 0, 1, 0, 0, 3, 1, 1, 3, 4, 1, 4, 0, 0, 3, 2, 0, 2, 3, 3, 4, 4, 1, 4, 2, 3, 4, 0, 4, 0, 2, 2, 1, 2, 3, 2, 2, 3, 2, 1, 1, 3, 3, 4, 1, 4, 3, 3, 3, 1, 2, 2, 3, 4, 1, 4, 0, 2, 2, 2, 1, 2, 4, 3, 4, 3, 1, 2, 3, 2, 4, 0, 3, 4, 1, 3, 3, 0, 0, 3, 1, 0, 3, 1, 0, 2, 3, 0, 3, 2, 0, 0, 4, 4, 2, 2, 2, 0, 1, 3, 3, 2, 4, 3, 1] pubkeycol1158 = [1, 0, 2, 2, 4, 1, 2, 1, 1, 2, 4, 3, 2, 3, 0, 1, 2, 3, 4, 1, 2, 4, 2, 4, 0, 2, 2, 0, 1, 4, 3, 3, 0, 0, 3, 3, 0, 1, 0, 4, 4, 2, 3, 3, 2, 1, 0, 4, 2, 4, 2, 0, 4, 3, 4, 4, 2, 4, 3, 0, 3, 4, 4, 4, 0, 2, 2, 0, 2, 3, 3, 0, 2, 0, 4, 3, 2, 4, 2, 2, 2, 1, 0, 2, 0, 2, 0, 4, 4, 3, 1, 2, 3, 4, 0, 0, 4, 2, 0, 3, 4, 4, 1, 2, 3, 0, 4, 4, 0, 2, 1, 1, 1, 3, 4, 0, 0, 2, 4, 4, 3, 4, 0, 2, 3, 1, 1, 3, 2, 4, 4, 4, 1, 4, 0, 1, 2, 1, 4, 0, 1, 3, 3, 4, 2, 1, 2, 2, 1, 3, 2, 3, 3, 4, 0, 1, 4, 4, 0, 4, 3, 2, 0, 4, 0, 1, 2, 3, 4, 1, 0, 4, 0, 3, 4, 0, 4, 0, 2, 4, 1, 1, 4, 3, 1, 4, 3, 4, 1, 3, 1, 2, 3, 2, 1, 2, 3, 4, 2, 2, 4, 1, 4, 3, 4, 3, 0, 3, 4, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 0, 0, 4, 0, 1, 1, 4, 0, 0, 0, 2, 2, 0, 3, 4, 2, 1, 4, 1, 0, 3, 0, 4, 4, 2, 4, 2, 2, 0, 0, 3, 4, 3, 4, 3, 2, 3, 0, 1, 1, 3, 4, 4, 1, 2, 1, 1, 3, 4, 3, 1, 1, 4, 0, 4, 0, 3, 3, 0, 2, 1, 2, 2, 0, 1, 1, 4, 0, 2, 1, 2, 4, 2, 3, 0, 1, 3, 0, 3, 1, 0, 4, 1, 1, 1, 2, 4, 2, 3, 4, 0, 4, 0, 4, 1, 3, 0, 2, 0, 4, 2] pubkeycol1159 = [3, 0, 3, 3, 2, 4, 0, 1, 3, 2, 1, 0, 1, 0, 1, 3, 4, 2, 4, 4, 2, 2, 2, 2, 3, 0, 1, 3, 3, 2, 2, 3, 3, 1, 2, 1, 1, 1, 4, 2, 4, 3, 2, 2, 4, 1, 0, 3, 1, 3, 0, 2, 2, 1, 0, 0, 3, 3, 0, 4, 2, 4, 4, 0, 3, 4, 3, 4, 2, 0, 1, 0, 2, 4, 0, 4, 0, 3, 1, 4, 1, 4, 2, 0, 3, 3, 3, 4, 2, 2, 0, 2, 2, 4, 4, 3, 3, 3, 0, 0, 1, 3, 1, 0, 3, 3, 1, 3, 2, 0, 4, 0, 1, 4, 3, 1, 2, 1, 0, 0, 2, 1, 3, 1, 3, 1, 1, 4, 0, 2, 3, 1, 3, 3, 1, 0, 2, 4, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 3, 4, 3, 1, 1, 4, 2, 2, 0, 1, 4, 4, 1, 2, 0, 4, 0, 3, 3, 1, 2, 0, 1, 3, 4, 1, 0, 3, 2, 3, 4, 2, 0, 3, 3, 4, 0, 0, 1, 1, 0, 3, 0, 2, 0, 2, 2, 2, 0, 4, 3, 4, 1, 0, 4, 3, 0, 0, 1, 3, 3, 3, 4, 3, 4, 4, 4, 3, 2, 3, 2, 4, 3, 3, 1, 3, 2, 0, 2, 1, 4, 3, 3, 2, 3, 0, 1, 3, 1, 0, 4, 3, 4, 3, 3, 0, 0, 3, 0, 2, 1, 3, 2, 1, 4, 1, 1, 3, 4, 2, 4, 1, 0, 0, 0, 4, 0, 4, 4, 1, 0, 4, 1, 3, 3, 4, 3, 4, 0, 3, 1, 3, 1, 2, 3, 4, 3, 1, 3, 1, 0, 1, 0, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 1, 0, 3, 0, 0, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 2, 3] pubkeycol1160 = [3, 1, 1, 3, 4, 1, 3, 3, 0, 4, 0, 3, 3, 0, 1, 0, 4, 4, 3, 3, 1, 0, 1, 2, 4, 0, 4, 3, 3, 1, 3, 2, 1, 2, 0, 4, 2, 1, 0, 1, 0, 3, 3, 0, 1, 4, 0, 0, 1, 2, 3, 0, 2, 2, 0, 3, 0, 0, 3, 3, 0, 2, 1, 3, 4, 4, 3, 1, 4, 4, 3, 4, 1, 3, 2, 2, 4, 2, 3, 3, 2, 0, 3, 1, 2, 3, 4, 2, 0, 4, 4, 4, 2, 3, 4, 1, 3, 0, 3, 0, 4, 0, 1, 4, 2, 0, 2, 4, 2, 4, 1, 0, 4, 3, 4, 1, 2, 2, 0, 3, 2, 3, 0, 4, 3, 4, 3, 2, 3, 1, 1, 1, 1, 4, 0, 3, 3, 2, 4, 3, 2, 4, 3, 4, 3, 3, 1, 0, 3, 2, 3, 2, 4, 3, 2, 1, 2, 0, 2, 0, 1, 0, 3, 0, 2, 2, 4, 1, 3, 2, 3, 1, 3, 4, 3, 0, 3, 1, 1, 3, 2, 2, 2, 0, 0, 4, 0, 3, 0, 1, 1, 3, 3, 3, 2, 2, 4, 4, 4, 1, 1, 4, 0, 2, 2, 1, 0, 3, 0, 2, 4, 0, 3, 2, 3, 4, 3, 3, 0, 1, 3, 1, 2, 4, 2, 1, 2, 4, 2, 0, 3, 4, 1, 1, 1, 1, 1, 0, 3, 1, 2, 4, 0, 3, 0, 2, 2, 1, 4, 1, 1, 0, 4, 2, 2, 3, 1, 2, 4, 2, 3, 2, 2, 0, 0, 3, 2, 3, 4, 4, 4, 0, 4, 3, 4, 4, 1, 2, 3, 1, 2, 2, 2, 3, 4, 2, 0, 0, 0, 1, 4, 2, 2, 3, 0, 0, 3, 1, 1, 4, 1, 1, 2, 1, 3, 3, 0, 1, 1, 4, 3, 2, 1, 3, 2, 4, 4, 0, 2, 0] pubkeycol1161 = [4, 4, 2, 2, 0, 4, 2, 1, 4, 4, 4, 2, 3, 0, 2, 2, 2, 1, 1, 0, 2, 3, 0, 4, 0, 3, 3, 0, 0, 0, 0, 0, 4, 1, 3, 3, 2, 2, 4, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 4, 1, 3, 2, 3, 3, 2, 3, 0, 4, 1, 4, 3, 0, 0, 4, 2, 0, 2, 0, 1, 0, 2, 4, 0, 4, 1, 0, 3, 1, 1, 0, 0, 1, 3, 0, 4, 3, 3, 2, 0, 0, 4, 4, 0, 1, 3, 4, 1, 2, 0, 4, 2, 0, 0, 1, 1, 0, 2, 4, 0, 2, 3, 0, 4, 4, 3, 1, 0, 3, 2, 2, 3, 3, 1, 1, 1, 0, 4, 1, 2, 0, 4, 3, 3, 0, 4, 1, 2, 2, 4, 1, 2, 3, 4, 1, 1, 0, 1, 4, 3, 2, 0, 3, 3, 4, 3, 4, 1, 3, 4, 1, 2, 0, 1, 1, 4, 4, 1, 1, 1, 3, 1, 1, 3, 4, 0, 4, 3, 0, 1, 1, 4, 2, 4, 0, 4, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 4, 0, 3, 2, 2, 3, 0, 3, 4, 2, 0, 2, 3, 2, 2, 0, 3, 1, 3, 4, 4, 1, 4, 1, 2, 3, 2, 1, 4, 4, 4, 2, 3, 3, 1, 4, 3, 3, 1, 0, 4, 2, 1, 1, 3, 0, 4, 0, 1, 3, 2, 2, 3, 3, 0, 2, 2, 3, 3, 1, 1, 4, 1, 2, 0, 1, 3, 3, 3, 4, 1, 4, 0, 3, 1, 1, 0, 3, 2, 2, 1, 3, 3, 0, 3, 2, 4, 2, 3, 4, 0, 4, 4, 0, 4, 1, 3, 0, 3, 2, 1, 0, 0, 1, 0, 2, 3, 0, 4, 0, 2, 4, 3, 4, 3, 3, 1, 3, 1, 0, 3, 3, 1, 1] pubkeycol1162 = [0, 2, 0, 2, 4, 3, 0, 3, 2, 0, 2, 0, 1, 3, 1, 4, 1, 2, 4, 3, 4, 2, 0, 3, 1, 4, 3, 0, 0, 1, 1, 4, 3, 1, 2, 4, 2, 0, 1, 3, 4, 0, 2, 2, 2, 3, 3, 3, 2, 4, 2, 4, 0, 4, 3, 2, 0, 0, 2, 1, 4, 4, 4, 0, 1, 1, 2, 3, 0, 2, 4, 1, 3, 4, 3, 0, 2, 3, 3, 2, 1, 1, 2, 3, 1, 3, 2, 3, 1, 2, 2, 0, 1, 3, 3, 0, 4, 2, 0, 4, 3, 4, 3, 0, 0, 0, 2, 0, 2, 1, 4, 3, 2, 4, 1, 1, 2, 4, 2, 1, 3, 4, 3, 4, 3, 4, 4, 1, 0, 4, 4, 0, 2, 3, 4, 0, 3, 2, 3, 0, 0, 1, 2, 0, 2, 3, 2, 3, 1, 1, 4, 3, 3, 0, 1, 1, 4, 4, 1, 3, 0, 2, 2, 2, 1, 3, 1, 0, 4, 0, 3, 2, 3, 3, 1, 0, 1, 1, 1, 3, 4, 4, 0, 0, 3, 1, 0, 2, 3, 2, 0, 0, 0, 2, 0, 2, 0, 3, 4, 2, 4, 3, 3, 2, 4, 3, 0, 0, 4, 3, 0, 4, 3, 2, 4, 1, 0, 1, 2, 1, 0, 0, 3, 3, 2, 2, 1, 2, 2, 0, 2, 3, 1, 2, 3, 0, 2, 1, 4, 4, 3, 1, 3, 2, 1, 0, 1, 1, 0, 1, 0, 3, 4, 1, 2, 2, 2, 1, 4, 4, 1, 0, 0, 4, 0, 2, 4, 1, 0, 3, 4, 3, 0, 0, 1, 3, 4, 4, 4, 2, 3, 1, 1, 1, 2, 3, 2, 2, 1, 0, 1, 2, 0, 1, 4, 2, 1, 4, 3, 0, 1, 0, 3, 0, 2, 3, 1, 2, 1, 3, 3, 4, 3, 3, 0, 2, 2, 1, 0, 4] pubkeycol1163 = [4, 2, 0, 4, 3, 2, 2, 3, 4, 3, 3, 1, 2, 2, 0, 3, 3, 0, 0, 3, 4, 0, 2, 4, 3, 2, 0, 4, 1, 0, 4, 4, 1, 2, 4, 4, 3, 2, 1, 3, 2, 3, 2, 0, 3, 4, 4, 1, 1, 3, 1, 2, 1, 4, 2, 2, 3, 4, 1, 1, 1, 2, 2, 1, 3, 2, 3, 3, 4, 2, 1, 0, 2, 0, 2, 2, 2, 3, 1, 0, 1, 3, 0, 3, 3, 3, 1, 1, 1, 0, 1, 2, 2, 0, 3, 4, 0, 4, 1, 1, 1, 1, 4, 4, 3, 3, 2, 4, 2, 0, 0, 4, 0, 2, 4, 0, 4, 1, 2, 2, 4, 3, 2, 1, 2, 1, 1, 1, 4, 0, 2, 4, 0, 2, 2, 0, 1, 1, 4, 0, 4, 0, 1, 0, 2, 2, 3, 0, 1, 4, 4, 3, 2, 3, 3, 1, 3, 4, 0, 1, 0, 1, 0, 3, 4, 2, 3, 4, 1, 3, 1, 0, 4, 4, 1, 3, 3, 2, 0, 1, 4, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 4, 1, 1, 4, 1, 2, 4, 2, 4, 2, 3, 1, 1, 3, 3, 1, 0, 4, 1, 2, 1, 4, 0, 4, 0, 1, 3, 1, 2, 3, 1, 0, 3, 1, 0, 4, 2, 2, 4, 0, 3, 4, 1, 3, 1, 0, 0, 0, 4, 0, 0, 3, 0, 0, 3, 3, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 4, 1, 3, 0, 3, 1, 0, 3, 4, 1, 4, 0, 1, 3, 4, 3, 2, 3, 0, 0, 4, 2, 1, 1, 4, 0, 0, 1, 4, 2, 4, 1, 3, 1, 4, 3, 3, 1, 0, 3, 1, 3, 0, 4, 3, 2, 0, 1, 1, 0, 4, 3, 1, 2, 1, 2, 4, 3, 0, 4, 4, 3] pubkeycol1164 = [2, 0, 3, 0, 2, 1, 4, 3, 2, 2, 3, 1, 1, 2, 3, 3, 3, 2, 0, 4, 2, 3, 0, 2, 3, 1, 1, 3, 1, 4, 3, 4, 4, 4, 1, 3, 2, 4, 3, 2, 4, 2, 3, 4, 4, 4, 1, 0, 4, 1, 2, 3, 3, 0, 1, 1, 0, 2, 2, 4, 3, 2, 1, 3, 0, 3, 1, 1, 2, 3, 3, 4, 2, 3, 0, 2, 1, 2, 2, 1, 4, 4, 1, 3, 3, 2, 0, 2, 2, 3, 1, 2, 1, 4, 2, 0, 0, 3, 3, 1, 4, 2, 3, 3, 1, 0, 3, 0, 3, 4, 0, 3, 3, 2, 4, 0, 2, 0, 3, 0, 2, 3, 4, 1, 1, 4, 1, 1, 0, 4, 2, 3, 0, 1, 4, 1, 3, 2, 0, 4, 1, 0, 0, 4, 2, 0, 4, 2, 4, 3, 3, 0, 1, 1, 3, 2, 1, 0, 2, 1, 3, 0, 1, 1, 2, 0, 1, 0, 4, 3, 0, 3, 2, 4, 1, 3, 0, 3, 1, 1, 2, 4, 4, 1, 0, 0, 4, 3, 1, 2, 1, 3, 0, 0, 0, 3, 4, 1, 2, 3, 4, 0, 1, 3, 0, 2, 1, 0, 3, 3, 3, 1, 2, 0, 2, 2, 4, 3, 2, 3, 4, 2, 3, 2, 0, 2, 2, 4, 4, 3, 3, 0, 1, 4, 4, 3, 2, 3, 3, 2, 3, 0, 4, 0, 1, 1, 1, 4, 1, 3, 1, 0, 4, 2, 4, 3, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 4, 3, 4, 1, 3, 4, 0, 2, 3, 0, 1, 2, 3, 0, 1, 4, 2, 2, 1, 1, 1, 2, 1, 1, 3, 2, 3, 2, 2, 1, 2, 4, 1, 1, 0, 2, 0, 0, 2, 3, 3, 3, 2, 1, 1, 1, 4, 4] pubkeycol1165 = [2, 1, 4, 0, 0, 3, 0, 1, 0, 1, 1, 2, 1, 1, 1, 4, 3, 3, 2, 0, 2, 1, 0, 2, 4, 3, 1, 1, 2, 2, 1, 0, 4, 3, 1, 4, 1, 4, 3, 3, 4, 1, 1, 2, 0, 4, 0, 2, 0, 1, 1, 4, 0, 3, 1, 3, 1, 2, 2, 3, 4, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 4, 2, 2, 2, 2, 4, 1, 4, 2, 2, 4, 1, 1, 2, 2, 2, 0, 0, 0, 4, 0, 3, 0, 0, 4, 4, 0, 1, 2, 0, 2, 0, 4, 4, 0, 2, 1, 2, 4, 0, 0, 4, 2, 4, 1, 0, 4, 2, 2, 1, 4, 3, 2, 3, 2, 4, 4, 1, 3, 2, 1, 1, 4, 1, 3, 0, 4, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 3, 4, 3, 4, 3, 0, 1, 4, 0, 4, 2, 1, 4, 2, 3, 2, 1, 2, 4, 0, 1, 4, 3, 0, 4, 1, 0, 0, 4, 4, 2, 0, 1, 0, 1, 4, 3, 3, 1, 3, 3, 2, 4, 2, 4, 0, 3, 3, 1, 0, 4, 1, 1, 4, 3, 3, 1, 0, 1, 0, 2, 3, 3, 1, 3, 1, 1, 2, 2, 3, 1, 2, 3, 4, 1, 1, 3, 2, 2, 3, 2, 4, 4, 1, 0, 3, 4, 3, 2, 1, 2, 2, 2, 3, 2, 4, 0, 4, 0, 0, 2, 4, 3, 2, 4, 3, 2, 4, 1, 1, 3, 0, 3, 2, 4, 1, 3, 1, 2, 1, 4, 3, 2, 4, 3, 1, 4, 2, 4, 2, 3, 4, 0, 2, 3, 1, 4, 4, 4, 4, 3, 1, 1, 3, 3, 1, 4, 4, 1, 0, 1, 0, 1, 2, 2, 4, 4, 4, 0, 0, 1, 0, 4, 0, 0, 4, 0, 0, 1] pubkeycol1166 = [0, 0, 1, 3, 3, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 3, 2, 2, 4, 4, 4, 3, 0, 2, 3, 4, 4, 4, 0, 1, 1, 0, 2, 2, 1, 1, 2, 4, 3, 4, 3, 3, 4, 0, 1, 0, 4, 1, 0, 4, 0, 0, 0, 1, 1, 4, 0, 4, 2, 3, 4, 4, 4, 2, 0, 2, 1, 0, 4, 0, 2, 2, 4, 0, 1, 4, 1, 3, 1, 1, 2, 4, 2, 2, 0, 2, 4, 4, 4, 3, 4, 1, 1, 2, 4, 4, 0, 1, 0, 1, 0, 0, 3, 0, 4, 4, 4, 0, 2, 3, 1, 2, 3, 0, 2, 0, 3, 0, 4, 1, 2, 2, 4, 0, 3, 0, 0, 2, 0, 0, 1, 1, 2, 4, 3, 2, 3, 0, 4, 4, 2, 3, 1, 2, 4, 3, 1, 1, 2, 1, 1, 4, 0, 3, 0, 2, 0, 2, 3, 4, 1, 3, 2, 3, 0, 3, 3, 4, 3, 1, 3, 0, 4, 0, 1, 4, 4, 4, 0, 0, 4, 1, 3, 0, 3, 3, 3, 0, 2, 0, 3, 3, 4, 3, 0, 0, 3, 3, 2, 1, 0, 2, 0, 2, 3, 1, 0, 1, 1, 2, 2, 0, 0, 4, 2, 2, 3, 0, 2, 2, 1, 0, 3, 0, 1, 3, 2, 4, 3, 0, 3, 1, 0, 4, 3, 1, 0, 2, 3, 0, 0, 1, 4, 3, 3, 4, 1, 3, 0, 0, 3, 3, 0, 4, 4, 4, 0, 1, 0, 3, 4, 2, 4, 1, 1, 4, 4, 1, 1, 4, 4, 3, 1, 0, 4, 4, 3, 2, 2, 4, 3, 0, 3, 3, 0, 1, 3, 0, 2, 2, 0, 3, 3, 0, 3, 4, 4, 2, 0, 0, 4, 1, 0, 2, 3, 2, 1, 2, 3, 3, 0, 2, 2, 3, 0, 0, 1, 2, 1, 0] pubkeycol1167 = [2, 2, 2, 1, 2, 4, 4, 2, 0, 4, 1, 1, 4, 1, 0, 1, 0, 1, 1, 1, 3, 3, 3, 2, 1, 3, 2, 0, 4, 0, 0, 3, 1, 1, 1, 2, 1, 3, 3, 2, 1, 0, 1, 2, 1, 1, 3, 0, 1, 0, 4, 1, 2, 3, 4, 3, 0, 4, 3, 0, 2, 2, 4, 2, 1, 3, 4, 3, 0, 3, 1, 2, 0, 4, 4, 3, 2, 0, 3, 1, 1, 0, 4, 0, 2, 1, 4, 3, 4, 1, 0, 1, 0, 1, 0, 4, 2, 0, 4, 4, 1, 4, 3, 2, 3, 2, 4, 0, 3, 2, 3, 4, 0, 2, 1, 3, 2, 0, 1, 3, 2, 4, 0, 0, 2, 3, 3, 4, 2, 4, 3, 0, 4, 2, 2, 2, 2, 2, 3, 2, 3, 0, 2, 0, 1, 2, 2, 1, 3, 0, 4, 3, 0, 0, 0, 1, 3, 1, 0, 3, 2, 4, 2, 3, 4, 0, 3, 2, 4, 4, 2, 3, 3, 2, 0, 0, 3, 3, 0, 1, 2, 0, 4, 1, 3, 0, 4, 4, 3, 4, 0, 1, 3, 4, 2, 4, 2, 3, 3, 3, 4, 3, 1, 0, 1, 2, 0, 2, 4, 0, 4, 0, 3, 4, 3, 2, 2, 1, 4, 4, 3, 2, 2, 1, 2, 3, 2, 2, 3, 2, 0, 4, 1, 4, 0, 0, 0, 4, 0, 2, 2, 0, 1, 2, 4, 1, 2, 0, 4, 2, 3, 2, 2, 2, 4, 0, 2, 0, 3, 1, 1, 3, 0, 0, 1, 2, 3, 4, 2, 2, 1, 2, 1, 2, 0, 0, 0, 4, 3, 4, 3, 3, 0, 0, 4, 0, 4, 3, 3, 3, 3, 0, 1, 0, 4, 3, 1, 0, 3, 3, 4, 0, 4, 2, 1, 2, 2, 2, 2, 1, 0, 0, 3, 2, 1, 3, 3, 3, 0, 3] pubkeycol1168 = [1, 3, 4, 3, 2, 0, 3, 2, 4, 2, 3, 4, 1, 4, 2, 2, 3, 2, 3, 3, 1, 4, 0, 2, 4, 2, 3, 3, 1, 2, 1, 4, 1, 3, 2, 0, 4, 3, 3, 1, 1, 1, 3, 4, 4, 2, 1, 3, 3, 4, 0, 2, 2, 0, 4, 3, 4, 3, 3, 1, 0, 0, 2, 4, 0, 4, 1, 1, 1, 2, 3, 2, 0, 3, 0, 3, 0, 4, 3, 1, 4, 4, 4, 2, 4, 0, 0, 4, 2, 3, 1, 1, 3, 0, 3, 3, 1, 0, 2, 3, 2, 1, 0, 2, 4, 4, 4, 2, 2, 2, 0, 2, 0, 4, 4, 1, 4, 3, 1, 4, 1, 2, 3, 2, 4, 2, 3, 3, 2, 0, 1, 4, 3, 0, 4, 1, 3, 3, 1, 3, 2, 3, 2, 0, 0, 4, 0, 1, 4, 2, 1, 1, 2, 4, 4, 3, 1, 3, 0, 1, 1, 3, 3, 1, 2, 0, 3, 3, 2, 4, 3, 2, 4, 0, 2, 1, 1, 2, 1, 3, 1, 1, 4, 2, 2, 3, 1, 0, 4, 4, 4, 3, 1, 0, 4, 4, 1, 4, 1, 4, 2, 0, 4, 3, 3, 1, 0, 0, 3, 0, 4, 4, 4, 3, 4, 4, 3, 0, 3, 1, 4, 3, 4, 2, 1, 1, 3, 2, 0, 3, 1, 2, 1, 4, 0, 4, 1, 1, 1, 2, 1, 4, 0, 1, 3, 3, 3, 3, 4, 0, 3, 3, 0, 2, 1, 2, 0, 0, 1, 2, 3, 1, 2, 1, 3, 4, 1, 3, 3, 2, 4, 4, 4, 3, 0, 4, 4, 3, 4, 1, 4, 4, 0, 3, 0, 2, 1, 3, 1, 4, 4, 4, 1, 2, 4, 1, 1, 4, 1, 0, 3, 4, 1, 0, 0, 2, 2, 4, 3, 1, 0, 3, 2, 4, 1, 4, 4, 0, 2, 2] pubkeycol1169 = [3, 3, 2, 1, 1, 2, 0, 4, 0, 4, 2, 1, 1, 4, 3, 3, 0, 2, 4, 4, 4, 4, 2, 1, 4, 0, 1, 0, 0, 3, 4, 3, 4, 3, 3, 0, 4, 1, 2, 0, 3, 4, 3, 1, 0, 4, 2, 3, 0, 4, 0, 1, 4, 0, 4, 3, 0, 1, 1, 3, 0, 3, 1, 1, 4, 0, 4, 2, 2, 2, 1, 2, 0, 3, 0, 0, 0, 4, 2, 0, 4, 2, 3, 3, 3, 4, 2, 2, 1, 1, 4, 4, 2, 0, 1, 0, 1, 0, 4, 4, 1, 1, 2, 1, 2, 0, 4, 3, 2, 0, 1, 4, 0, 3, 0, 0, 2, 1, 1, 3, 2, 1, 0, 3, 4, 3, 0, 4, 0, 0, 0, 4, 3, 3, 1, 3, 2, 3, 1, 2, 2, 0, 2, 0, 3, 2, 4, 2, 0, 0, 3, 0, 0, 4, 1, 2, 3, 2, 0, 4, 1, 1, 4, 0, 3, 3, 0, 4, 1, 3, 3, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 1, 2, 4, 0, 4, 4, 2, 4, 1, 4, 1, 0, 2, 4, 3, 1, 4, 0, 1, 1, 2, 0, 0, 3, 1, 3, 1, 1, 2, 3, 1, 4, 4, 1, 1, 1, 2, 3, 2, 3, 4, 2, 1, 4, 2, 0, 3, 1, 0, 2, 3, 2, 1, 3, 4, 1, 1, 0, 2, 0, 3, 4, 2, 1, 1, 0, 4, 4, 4, 3, 1, 3, 3, 2, 3, 4, 0, 0, 4, 4, 3, 2, 3, 1, 3, 4, 0, 0, 0, 0, 3, 2, 2, 4, 1, 0, 3, 0, 2, 4, 3, 0, 2, 1, 1, 3, 3, 2, 4, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 3, 3, 4, 1, 2, 0, 1, 0, 2, 2, 1, 3, 1, 1, 2] pubkeycol1170 = [3, 3, 2, 3, 4, 3, 1, 3, 1, 3, 4, 0, 1, 4, 1, 4, 2, 3, 2, 1, 1, 0, 2, 1, 3, 4, 0, 1, 1, 1, 2, 0, 3, 2, 0, 1, 3, 0, 0, 3, 4, 2, 2, 4, 4, 2, 0, 1, 0, 1, 0, 2, 4, 4, 4, 0, 2, 4, 0, 4, 4, 1, 3, 2, 2, 3, 1, 4, 0, 4, 0, 0, 4, 4, 1, 3, 2, 1, 4, 1, 4, 4, 3, 2, 0, 4, 4, 2, 4, 2, 0, 2, 2, 4, 0, 0, 1, 3, 1, 1, 4, 1, 3, 3, 4, 4, 2, 0, 1, 0, 4, 3, 4, 2, 1, 0, 3, 1, 0, 3, 0, 4, 4, 2, 0, 3, 3, 1, 3, 0, 4, 4, 4, 1, 3, 3, 1, 1, 3, 1, 3, 1, 1, 2, 1, 4, 2, 1, 3, 1, 2, 2, 4, 1, 0, 1, 1, 4, 1, 0, 0, 1, 1, 1, 2, 4, 1, 3, 4, 4, 1, 2, 2, 0, 4, 0, 2, 0, 1, 4, 1, 0, 0, 2, 0, 1, 0, 1, 4, 2, 2, 4, 2, 0, 2, 4, 0, 1, 3, 4, 3, 2, 1, 3, 4, 0, 1, 0, 3, 0, 2, 3, 3, 4, 3, 0, 4, 4, 3, 1, 3, 3, 0, 0, 3, 0, 0, 0, 3, 2, 1, 0, 4, 0, 0, 1, 3, 0, 3, 0, 0, 1, 4, 3, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 3, 4, 1, 4, 1, 3, 3, 0, 4, 2, 3, 4, 1, 1, 4, 1, 0, 2, 1, 4, 4, 2, 1, 4, 0, 1, 2, 1, 2, 1, 1, 3, 0, 4, 1, 3, 0, 3, 0, 2, 2, 3, 3, 3, 1, 2, 1, 4, 2, 0, 3, 3, 1, 4, 2, 0, 0, 2, 2, 1, 1, 2, 0, 3, 4, 2] pubkeycol1171 = [2, 0, 2, 1, 2, 3, 0, 2, 4, 4, 4, 0, 0, 1, 4, 0, 2, 2, 2, 3, 2, 2, 2, 2, 4, 1, 1, 4, 4, 0, 2, 2, 3, 2, 2, 2, 0, 1, 4, 2, 4, 4, 0, 4, 4, 2, 3, 0, 2, 3, 3, 2, 1, 1, 4, 1, 0, 4, 1, 3, 3, 0, 2, 4, 3, 4, 0, 3, 0, 3, 2, 3, 3, 0, 0, 1, 0, 4, 2, 2, 0, 1, 1, 0, 0, 4, 2, 2, 0, 1, 3, 0, 2, 1, 3, 3, 3, 4, 2, 4, 1, 0, 3, 3, 3, 0, 1, 4, 3, 4, 1, 4, 4, 0, 4, 0, 3, 0, 0, 4, 4, 2, 2, 2, 0, 2, 1, 3, 3, 0, 3, 3, 2, 4, 2, 3, 2, 4, 1, 3, 2, 0, 2, 3, 1, 2, 2, 4, 3, 4, 1, 2, 3, 4, 1, 0, 3, 2, 0, 2, 4, 1, 0, 0, 0, 2, 4, 4, 3, 2, 3, 2, 4, 3, 1, 1, 4, 4, 3, 3, 4, 0, 1, 2, 3, 0, 0, 3, 0, 0, 2, 1, 3, 0, 4, 0, 4, 1, 3, 1, 1, 3, 4, 4, 2, 0, 4, 0, 3, 0, 0, 2, 4, 1, 1, 1, 1, 0, 0, 0, 3, 0, 1, 0, 4, 2, 0, 3, 4, 2, 3, 4, 0, 3, 4, 0, 3, 4, 1, 1, 0, 1, 1, 0, 0, 4, 4, 4, 0, 2, 4, 0, 0, 4, 0, 4, 3, 3, 1, 4, 3, 3, 1, 4, 3, 0, 2, 3, 1, 1, 1, 3, 1, 2, 0, 0, 0, 3, 1, 0, 2, 4, 0, 3, 0, 1, 4, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 3, 3, 0, 3, 1, 2, 2, 0, 3, 0, 0, 2, 2, 4, 0, 0, 0, 3, 3, 2, 0, 2, 2] pubkeycol1172 = [2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 4, 2, 0, 3, 1, 0, 3, 4, 4, 4, 4, 4, 2, 2, 3, 2, 1, 2, 4, 3, 0, 3, 1, 1, 3, 0, 4, 2, 4, 2, 2, 0, 4, 4, 2, 4, 1, 1, 2, 2, 4, 4, 1, 1, 4, 3, 4, 2, 2, 2, 1, 0, 3, 3, 0, 4, 2, 3, 2, 4, 4, 1, 4, 2, 0, 0, 1, 2, 0, 0, 1, 0, 3, 0, 4, 3, 4, 1, 2, 0, 4, 1, 2, 4, 2, 2, 0, 1, 4, 1, 2, 4, 2, 3, 0, 2, 0, 1, 4, 2, 2, 1, 4, 4, 0, 4, 1, 1, 2, 0, 3, 2, 4, 3, 1, 2, 1, 4, 0, 2, 3, 4, 3, 2, 3, 2, 0, 3, 3, 0, 1, 2, 2, 2, 4, 2, 3, 1, 2, 2, 4, 1, 1, 4, 3, 0, 3, 4, 2, 1, 3, 2, 1, 1, 2, 4, 3, 1, 1, 3, 0, 0, 1, 1, 0, 3, 0, 0, 3, 0, 0, 2, 1, 0, 0, 0, 3, 3, 3, 4, 0, 0, 2, 0, 3, 3, 1, 4, 0, 4, 0, 3, 0, 1, 2, 1, 0, 4, 3, 4, 0, 2, 2, 2, 0, 4, 3, 3, 1, 3, 4, 0, 1, 4, 3, 0, 4, 3, 2, 4, 1, 0, 0, 0, 0, 4, 0, 3, 2, 1, 1, 4, 4, 2, 2, 0, 1, 4, 4, 0, 0, 4, 2, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 4, 3, 1, 3, 1, 4, 2, 2, 3, 0, 1, 0, 4, 0, 4, 2, 1, 1, 3, 2, 3, 0, 4, 1, 1, 3, 0, 3, 4, 4, 4, 3, 4, 0, 4, 3, 2, 0, 2, 3, 2, 4, 1, 2, 1, 4, 1, 2, 3, 2, 1, 2, 0, 1, 4] pubkeycol1173 = [2, 4, 1, 3, 2, 4, 0, 0, 3, 3, 2, 2, 4, 2, 3, 0, 3, 4, 1, 3, 0, 4, 1, 0, 2, 0, 4, 1, 0, 3, 4, 0, 3, 4, 3, 2, 3, 4, 1, 2, 4, 3, 1, 1, 0, 4, 2, 0, 4, 2, 4, 0, 0, 2, 1, 4, 1, 2, 3, 4, 4, 1, 0, 2, 1, 1, 2, 0, 3, 4, 3, 4, 4, 3, 2, 0, 1, 2, 3, 3, 0, 0, 2, 1, 3, 4, 3, 2, 2, 3, 3, 1, 4, 1, 4, 1, 3, 1, 2, 2, 2, 0, 2, 3, 2, 0, 4, 3, 4, 1, 4, 0, 0, 2, 4, 4, 2, 1, 1, 4, 4, 2, 4, 4, 3, 2, 3, 0, 0, 3, 2, 2, 3, 4, 3, 4, 2, 4, 1, 4, 3, 1, 2, 3, 1, 0, 2, 4, 3, 3, 1, 3, 0, 4, 4, 1, 1, 2, 0, 0, 2, 3, 3, 0, 1, 4, 4, 1, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 4, 0, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 2, 0, 4, 3, 2, 4, 2, 1, 4, 2, 0, 3, 1, 3, 0, 4, 4, 4, 1, 4, 1, 1, 0, 1, 1, 4, 3, 0, 1, 0, 3, 4, 2, 4, 0, 4, 4, 1, 3, 0, 3, 1, 2, 0, 2, 3, 0, 0, 1, 2, 3, 1, 4, 0, 0, 1, 1, 1, 4, 4, 4, 4, 0, 3, 1, 3, 2, 0, 1, 1, 0, 3, 3, 4, 4, 2, 2, 4, 4, 3, 0, 4, 0, 2, 0, 2, 1, 4, 3, 2, 3, 4, 4, 1, 2, 3, 1, 2, 1, 2, 0, 1, 3, 1, 0, 3, 4, 4, 1, 3, 2, 0, 0, 1, 3, 1, 0, 0] pubkeycol1174 = [1, 1, 1, 1, 0, 4, 4, 1, 1, 0, 3, 4, 3, 0, 3, 3, 4, 4, 1, 2, 0, 2, 4, 3, 4, 0, 0, 4, 1, 4, 1, 3, 2, 0, 1, 2, 1, 3, 1, 1, 0, 2, 2, 0, 4, 1, 3, 4, 4, 4, 0, 1, 0, 4, 3, 4, 3, 3, 1, 4, 0, 2, 3, 3, 0, 1, 0, 4, 3, 1, 3, 4, 0, 3, 4, 3, 0, 2, 4, 4, 3, 3, 1, 3, 1, 1, 2, 0, 4, 2, 2, 0, 0, 3, 4, 3, 0, 4, 2, 1, 2, 4, 4, 0, 2, 4, 1, 4, 3, 3, 1, 2, 1, 3, 2, 2, 1, 0, 2, 1, 2, 4, 2, 2, 2, 4, 4, 2, 0, 1, 0, 0, 0, 2, 4, 3, 2, 4, 2, 0, 2, 2, 3, 3, 3, 2, 1, 0, 1, 4, 2, 3, 2, 1, 0, 1, 0, 2, 3, 0, 4, 1, 3, 3, 3, 3, 3, 1, 2, 1, 3, 0, 2, 3, 1, 3, 3, 4, 4, 2, 0, 1, 3, 3, 1, 4, 1, 3, 3, 4, 0, 4, 0, 0, 3, 0, 2, 2, 3, 1, 4, 1, 2, 1, 0, 0, 2, 2, 2, 3, 3, 2, 3, 3, 0, 1, 3, 2, 3, 4, 3, 1, 1, 1, 1, 0, 4, 4, 4, 4, 0, 0, 1, 1, 3, 0, 4, 4, 3, 1, 4, 1, 3, 4, 2, 1, 3, 4, 3, 4, 0, 2, 1, 2, 0, 4, 4, 0, 2, 1, 3, 4, 1, 4, 4, 4, 1, 1, 0, 2, 3, 1, 4, 1, 3, 1, 1, 1, 3, 0, 4, 2, 2, 4, 2, 4, 4, 1, 4, 1, 0, 2, 3, 3, 1, 1, 1, 0, 1, 4, 0, 0, 0, 2, 4, 2, 1, 2, 3, 3, 0, 4, 1, 1, 2, 1, 4, 4, 2, 4] pubkeycol1175 = [4, 1, 3, 2, 4, 1, 1, 2, 4, 3, 1, 3, 1, 0, 2, 1, 4, 3, 2, 2, 3, 2, 0, 3, 0, 4, 1, 3, 1, 3, 1, 2, 2, 4, 1, 4, 2, 0, 1, 1, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 0, 1, 2, 2, 1, 2, 4, 2, 3, 3, 2, 1, 4, 2, 3, 2, 2, 0, 4, 0, 1, 3, 2, 0, 0, 0, 3, 1, 0, 0, 1, 3, 0, 3, 4, 2, 1, 1, 4, 2, 3, 0, 0, 2, 2, 4, 2, 4, 1, 1, 0, 4, 4, 2, 0, 0, 1, 3, 3, 1, 2, 0, 4, 2, 2, 3, 0, 1, 1, 2, 4, 3, 0, 0, 2, 4, 3, 1, 1, 1, 1, 0, 3, 1, 0, 0, 1, 3, 0, 4, 0, 3, 4, 3, 4, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 4, 0, 0, 3, 0, 0, 3, 4, 1, 3, 2, 0, 1, 4, 2, 1, 4, 0, 1, 1, 1, 3, 3, 4, 1, 1, 3, 1, 1, 3, 2, 0, 3, 4, 3, 2, 0, 0, 1, 3, 2, 1, 4, 3, 3, 1, 4, 1, 1, 0, 3, 0, 0, 0, 4, 2, 1, 4, 1, 2, 0, 0, 0, 3, 0, 0, 2, 2, 2, 1, 3, 1, 3, 1, 2, 4, 1, 4, 4, 0, 1, 4, 4, 0, 1, 0, 2, 2, 3, 2, 2, 1, 3, 3, 4, 3, 1, 4, 0, 4, 1, 1, 3, 2, 3, 3, 3, 2, 1, 2, 0, 1, 1, 1, 2, 4, 4, 0, 2, 4, 4, 3, 2, 0, 0, 0, 4, 1, 0, 3, 0, 1, 2, 3, 4, 3, 3, 4, 3, 1, 4, 3, 0, 2, 0, 4, 1, 4, 2, 4, 4, 1, 2, 0, 2, 0, 3, 3, 2, 0] pubkeycol1176 = [2, 3, 1, 1, 1, 4, 0, 0, 2, 1, 0, 4, 0, 4, 1, 3, 3, 2, 0, 0, 1, 4, 2, 2, 2, 3, 2, 3, 0, 3, 2, 0, 2, 3, 2, 3, 3, 1, 3, 0, 3, 2, 0, 0, 3, 3, 4, 2, 3, 0, 1, 4, 3, 3, 2, 0, 0, 4, 3, 3, 2, 1, 4, 1, 4, 1, 1, 2, 0, 0, 2, 1, 1, 1, 4, 3, 0, 1, 4, 2, 4, 0, 4, 4, 1, 0, 0, 4, 2, 0, 1, 0, 4, 0, 4, 0, 1, 3, 4, 2, 4, 2, 0, 4, 1, 3, 1, 1, 4, 2, 4, 0, 1, 1, 3, 2, 1, 3, 4, 4, 3, 2, 4, 0, 4, 0, 1, 4, 4, 2, 2, 3, 2, 3, 1, 0, 2, 3, 2, 0, 0, 0, 0, 4, 2, 0, 4, 2, 2, 1, 0, 2, 4, 2, 3, 0, 2, 3, 0, 3, 4, 1, 4, 0, 4, 0, 3, 1, 0, 3, 3, 2, 1, 0, 4, 4, 4, 3, 0, 4, 0, 3, 4, 1, 2, 1, 2, 1, 3, 4, 1, 4, 2, 1, 1, 3, 3, 0, 0, 0, 0, 4, 1, 2, 3, 2, 0, 0, 4, 3, 1, 3, 0, 0, 3, 3, 0, 0, 0, 4, 3, 2, 1, 1, 0, 0, 2, 3, 1, 3, 3, 1, 4, 4, 1, 1, 2, 1, 4, 3, 4, 4, 1, 4, 0, 1, 0, 2, 3, 3, 1, 2, 4, 4, 2, 2, 1, 3, 2, 0, 1, 3, 1, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 4, 2, 1, 1, 1, 2, 1, 2, 0, 3, 0, 1, 3, 4, 0, 1, 0, 2, 3, 1, 3, 4, 2, 1, 0, 0, 0, 0, 4, 0, 1, 2, 4, 1, 0, 3, 0, 2, 4, 3, 1, 0, 2, 0, 3, 1] pubkeycol1177 = [1, 3, 4, 0, 4, 0, 4, 3, 1, 1, 2, 4, 0, 0, 0, 1, 4, 0, 2, 0, 2, 3, 3, 0, 0, 1, 4, 4, 1, 2, 2, 0, 1, 2, 3, 0, 3, 0, 1, 4, 0, 2, 4, 4, 0, 1, 1, 4, 2, 0, 2, 2, 2, 2, 4, 2, 0, 3, 3, 0, 1, 3, 4, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 1, 0, 2, 0, 4, 0, 3, 4, 0, 1, 1, 2, 3, 0, 3, 0, 0, 4, 4, 0, 4, 1, 0, 4, 3, 1, 1, 4, 2, 1, 3, 0, 2, 2, 0, 0, 3, 0, 3, 2, 2, 3, 0, 4, 2, 1, 0, 2, 4, 4, 1, 0, 4, 4, 4, 1, 1, 2, 3, 1, 4, 1, 4, 4, 1, 0, 4, 1, 2, 1, 3, 0, 2, 0, 4, 3, 0, 1, 0, 4, 2, 0, 3, 3, 1, 4, 3, 3, 1, 1, 0, 3, 2, 0, 4, 2, 2, 4, 0, 3, 1, 2, 2, 0, 0, 1, 2, 4, 2, 1, 2, 2, 1, 3, 3, 4, 2, 0, 2, 4, 3, 2, 0, 2, 3, 3, 0, 4, 2, 0, 2, 1, 4, 1, 0, 2, 3, 3, 4, 2, 3, 2, 1, 4, 3, 0, 1, 3, 1, 0, 0, 3, 3, 3, 2, 4, 1, 4, 0, 0, 3, 0, 2, 2, 0, 4, 3, 1, 3, 2, 4, 0, 4, 0, 1, 2, 1, 1, 0, 1, 3, 2, 2, 4, 1, 3, 4, 1, 1, 1, 3, 4, 3, 4, 4, 3, 1, 1, 4, 3, 3, 0, 1, 4, 4, 1, 1, 1, 0, 2, 4, 3, 4, 0, 2, 2, 1, 2, 3, 3, 4, 1, 0, 0, 3, 3, 0, 3, 0, 1, 4, 2, 3, 0, 4, 4, 4, 3, 2, 2, 4, 2, 4, 2, 2] pubkeycol1178 = [3, 3, 0, 2, 0, 0, 0, 4, 2, 0, 0, 4, 4, 0, 3, 4, 4, 4, 1, 2, 2, 0, 1, 1, 1, 2, 3, 4, 2, 4, 4, 3, 4, 1, 3, 4, 0, 4, 2, 3, 1, 0, 2, 3, 4, 2, 1, 1, 0, 2, 3, 3, 0, 0, 2, 4, 0, 1, 3, 3, 0, 4, 1, 0, 2, 3, 4, 4, 4, 2, 0, 4, 1, 0, 2, 3, 4, 3, 0, 3, 4, 0, 3, 2, 1, 2, 3, 1, 3, 4, 2, 2, 0, 2, 4, 0, 4, 0, 3, 3, 3, 0, 4, 4, 3, 1, 2, 3, 4, 2, 0, 3, 4, 0, 4, 4, 0, 3, 3, 4, 4, 3, 1, 1, 0, 3, 1, 2, 1, 3, 3, 3, 1, 3, 2, 0, 1, 2, 4, 4, 2, 3, 2, 3, 1, 1, 0, 2, 4, 2, 1, 1, 1, 2, 4, 0, 2, 1, 3, 1, 1, 3, 1, 2, 0, 0, 0, 1, 3, 4, 1, 3, 1, 2, 1, 2, 2, 0, 1, 3, 2, 1, 0, 0, 1, 4, 4, 1, 2, 3, 3, 1, 2, 1, 1, 0, 3, 0, 0, 2, 2, 4, 4, 2, 1, 1, 4, 3, 0, 3, 1, 1, 0, 4, 0, 0, 4, 0, 0, 1, 3, 4, 4, 0, 0, 1, 2, 3, 4, 3, 1, 3, 2, 3, 4, 0, 2, 3, 4, 1, 3, 1, 0, 1, 0, 1, 4, 4, 3, 4, 0, 1, 1, 1, 2, 0, 3, 3, 4, 4, 0, 4, 4, 3, 4, 4, 4, 0, 0, 1, 2, 0, 3, 0, 1, 2, 1, 3, 1, 4, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 4, 1, 0, 0, 4, 3, 1, 2, 3, 4, 4, 2, 0, 4, 1, 0, 0, 2, 0, 0, 3, 2, 1, 3, 3, 2, 0, 4, 0, 4] pubkeycol1179 = [0, 3, 2, 1, 4, 0, 3, 1, 2, 3, 1, 1, 4, 0, 3, 1, 2, 1, 3, 2, 1, 3, 3, 2, 1, 2, 4, 2, 1, 4, 0, 4, 3, 4, 0, 0, 0, 3, 1, 3, 2, 4, 4, 1, 3, 2, 3, 4, 2, 2, 0, 3, 4, 0, 2, 2, 0, 1, 2, 1, 4, 0, 4, 2, 2, 2, 2, 4, 0, 2, 1, 1, 0, 3, 1, 4, 3, 0, 0, 4, 2, 1, 0, 0, 4, 1, 0, 4, 0, 3, 2, 1, 2, 0, 1, 1, 0, 4, 1, 4, 2, 3, 1, 2, 1, 0, 2, 2, 3, 0, 1, 2, 4, 2, 0, 1, 1, 1, 0, 3, 0, 0, 3, 0, 4, 2, 2, 0, 0, 4, 4, 0, 2, 0, 1, 2, 4, 2, 3, 4, 1, 3, 2, 0, 1, 0, 3, 0, 3, 0, 2, 2, 4, 4, 2, 2, 1, 0, 0, 1, 4, 2, 2, 4, 4, 3, 1, 0, 4, 3, 2, 4, 4, 4, 1, 4, 1, 4, 2, 3, 1, 1, 3, 0, 1, 2, 2, 1, 3, 2, 2, 4, 1, 4, 1, 1, 0, 2, 3, 3, 3, 4, 1, 1, 3, 3, 0, 3, 4, 2, 1, 3, 0, 3, 0, 3, 1, 2, 1, 2, 0, 1, 3, 0, 0, 3, 4, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 4, 2, 1, 0, 2, 3, 0, 4, 0, 2, 4, 4, 3, 1, 2, 2, 1, 3, 0, 2, 0, 2, 2, 4, 4, 0, 0, 3, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 4, 3, 0, 0, 3, 2, 0, 1, 2, 2, 3, 4, 4, 0, 1, 1, 3, 1, 2, 4, 0, 3, 3, 3, 1, 3, 0, 0, 1, 0, 3, 4, 4, 3, 3, 0, 4, 2, 1, 2, 1, 2] pubkeycol1180 = [1, 0, 2, 4, 2, 0, 0, 3, 2, 4, 3, 0, 4, 1, 4, 2, 3, 3, 1, 1, 4, 2, 0, 1, 3, 3, 4, 1, 3, 1, 2, 0, 1, 0, 4, 1, 2, 2, 2, 4, 3, 4, 0, 4, 1, 0, 0, 4, 1, 2, 4, 1, 4, 4, 0, 4, 1, 0, 1, 4, 1, 1, 4, 4, 2, 3, 2, 2, 4, 2, 3, 1, 2, 2, 4, 2, 0, 3, 0, 0, 3, 0, 4, 0, 1, 2, 4, 4, 0, 1, 0, 3, 3, 3, 2, 4, 2, 1, 2, 4, 2, 4, 0, 2, 1, 0, 3, 0, 0, 1, 1, 1, 3, 4, 2, 2, 4, 3, 4, 3, 2, 4, 2, 3, 1, 3, 0, 0, 2, 3, 1, 3, 3, 4, 1, 3, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 3, 0, 2, 0, 2, 3, 0, 3, 1, 4, 0, 0, 2, 2, 3, 2, 1, 1, 2, 1, 3, 2, 0, 4, 3, 4, 1, 0, 2, 4, 2, 0, 4, 3, 2, 0, 2, 3, 2, 1, 2, 1, 3, 0, 0, 4, 1, 2, 1, 1, 4, 2, 1, 3, 0, 2, 1, 0, 0, 3, 1, 0, 3, 4, 3, 0, 1, 4, 1, 3, 1, 0, 2, 2, 4, 3, 2, 3, 0, 2, 0, 1, 4, 3, 3, 4, 2, 4, 0, 3, 4, 3, 2, 1, 3, 0, 4, 4, 3, 4, 0, 3, 3, 3, 1, 3, 2, 1, 3, 2, 3, 1, 1, 3, 2, 1, 0, 1, 2, 1, 1, 1, 3, 0, 0, 0, 0, 3, 1, 3, 4, 0, 2, 3, 2, 3, 2, 3, 1, 0, 0, 3, 3, 0, 3, 0, 2, 2, 4, 0, 4, 3, 1, 0, 1, 0, 0, 4, 2, 4, 3, 1, 0, 0, 2, 1, 3, 0, 3, 0, 2] pubkeycol1181 = [3, 4, 1, 3, 4, 3, 0, 3, 0, 2, 1, 2, 4, 3, 0, 4, 0, 1, 1, 1, 3, 1, 4, 0, 3, 3, 4, 2, 3, 0, 2, 0, 0, 2, 1, 0, 4, 4, 1, 1, 1, 3, 0, 4, 1, 2, 4, 3, 2, 1, 4, 0, 3, 1, 3, 0, 4, 3, 1, 1, 3, 1, 0, 0, 3, 2, 4, 4, 4, 3, 2, 3, 4, 0, 3, 2, 2, 2, 4, 4, 2, 1, 3, 4, 3, 3, 0, 0, 2, 2, 4, 0, 4, 0, 4, 4, 0, 4, 4, 3, 3, 3, 4, 1, 4, 1, 1, 1, 2, 4, 4, 0, 1, 0, 3, 2, 2, 4, 0, 0, 0, 3, 3, 2, 1, 2, 0, 4, 0, 0, 4, 3, 3, 2, 0, 1, 1, 2, 0, 4, 2, 1, 0, 4, 3, 2, 4, 1, 3, 1, 3, 4, 3, 4, 2, 1, 0, 0, 2, 0, 3, 4, 4, 1, 1, 0, 3, 0, 0, 4, 2, 2, 4, 2, 0, 2, 0, 3, 0, 1, 3, 2, 2, 2, 1, 4, 3, 4, 2, 0, 3, 0, 1, 0, 0, 1, 3, 3, 2, 3, 4, 2, 3, 4, 0, 2, 4, 3, 1, 3, 1, 1, 1, 4, 1, 4, 0, 0, 1, 4, 1, 4, 4, 4, 0, 4, 1, 2, 3, 1, 2, 2, 3, 4, 3, 0, 2, 4, 3, 0, 4, 3, 4, 2, 3, 1, 3, 3, 3, 3, 3, 0, 4, 3, 1, 3, 2, 1, 4, 3, 2, 1, 0, 0, 1, 3, 2, 1, 0, 4, 2, 3, 4, 1, 0, 0, 0, 4, 3, 4, 2, 0, 1, 1, 2, 3, 1, 2, 0, 3, 4, 0, 2, 0, 3, 3, 3, 2, 3, 0, 3, 3, 1, 0, 1, 3, 3, 1, 4, 2, 2, 0, 0, 4, 4, 1, 4, 0, 4, 2] pubkeycol1182 = [4, 1, 1, 3, 2, 4, 1, 2, 2, 4, 3, 3, 1, 3, 3, 4, 0, 3, 2, 1, 3, 2, 2, 4, 1, 2, 3, 0, 4, 0, 1, 0, 4, 0, 0, 4, 4, 4, 3, 0, 0, 2, 4, 0, 0, 4, 2, 4, 0, 4, 2, 3, 2, 4, 3, 2, 2, 2, 1, 4, 3, 1, 3, 2, 2, 2, 2, 2, 4, 0, 3, 1, 0, 4, 1, 2, 1, 0, 4, 2, 2, 0, 0, 3, 1, 2, 4, 2, 2, 0, 1, 4, 2, 1, 1, 2, 2, 0, 1, 3, 4, 4, 4, 0, 3, 3, 1, 0, 4, 1, 4, 0, 4, 1, 1, 1, 1, 1, 0, 1, 4, 3, 1, 0, 4, 3, 0, 2, 3, 4, 4, 2, 3, 0, 4, 2, 1, 2, 4, 1, 0, 3, 3, 2, 2, 1, 2, 0, 1, 1, 0, 3, 3, 1, 3, 1, 3, 1, 4, 2, 0, 1, 1, 0, 4, 3, 4, 1, 3, 4, 1, 0, 3, 1, 1, 1, 3, 0, 1, 2, 2, 1, 0, 4, 2, 0, 2, 3, 1, 1, 1, 3, 2, 3, 0, 3, 3, 0, 1, 1, 0, 0, 2, 4, 4, 0, 2, 1, 2, 1, 4, 2, 2, 1, 0, 2, 0, 2, 3, 0, 0, 1, 0, 1, 3, 3, 1, 1, 1, 2, 1, 2, 3, 2, 1, 3, 0, 3, 2, 2, 1, 2, 4, 1, 2, 3, 2, 1, 0, 1, 3, 3, 1, 2, 0, 2, 2, 0, 2, 3, 3, 0, 1, 4, 0, 2, 3, 1, 1, 2, 3, 1, 4, 4, 3, 3, 1, 3, 0, 1, 1, 0, 2, 3, 2, 4, 3, 3, 1, 0, 0, 2, 3, 3, 0, 0, 3, 2, 2, 2, 3, 4, 1, 0, 4, 2, 1, 3, 0, 1, 2, 1, 3, 3, 2, 3, 3, 1, 2, 0] pubkeycol1183 = [3, 1, 1, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 2, 0, 1, 2, 1, 1, 4, 4, 4, 3, 4, 2, 1, 3, 4, 0, 2, 3, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 4, 2, 4, 4, 3, 2, 4, 3, 3, 2, 4, 0, 2, 0, 4, 2, 1, 2, 2, 2, 4, 1, 4, 0, 3, 1, 2, 4, 0, 0, 3, 1, 4, 4, 3, 2, 3, 0, 3, 4, 1, 4, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 1, 2, 3, 4, 0, 0, 4, 0, 1, 4, 0, 2, 0, 2, 1, 4, 1, 1, 4, 4, 1, 2, 1, 0, 2, 2, 1, 4, 4, 3, 1, 2, 0, 4, 0, 1, 1, 2, 0, 4, 4, 3, 3, 1, 1, 3, 4, 1, 1, 0, 4, 2, 4, 0, 4, 2, 0, 4, 3, 2, 4, 3, 4, 1, 2, 1, 4, 4, 1, 2, 0, 0, 3, 4, 1, 4, 1, 1, 4, 2, 2, 3, 3, 3, 0, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 4, 1, 0, 2, 3, 4, 1, 0, 4, 2, 4, 2, 1, 3, 2, 4, 4, 0, 1, 4, 0, 0, 2, 0, 0, 3, 0, 4, 4, 1, 0, 4, 4, 4, 1, 1, 4, 4, 4, 1, 2, 4, 0, 4, 2, 4, 3, 2, 1, 2, 0, 1, 0, 0, 3, 2, 1, 4, 3, 2, 4, 4, 0, 1, 0, 2, 4, 3, 4, 2, 4, 0, 2, 3, 3, 1, 1, 3, 1, 4, 4, 3, 2, 1, 1, 0, 4, 1, 2, 3, 4, 2, 4, 4, 2, 3, 3, 0, 3, 0, 2, 1, 3, 0, 1, 1, 2, 4, 4, 0, 4, 2, 3, 1, 3, 0, 3, 4, 2, 4, 3, 2, 0, 3, 1, 0] pubkeycol1184 = [0, 2, 1, 2, 4, 1, 1, 1, 2, 0, 1, 3, 4, 1, 1, 4, 4, 4, 1, 3, 0, 2, 2, 3, 4, 0, 4, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 0, 2, 4, 2, 1, 4, 3, 1, 2, 3, 4, 1, 2, 3, 3, 2, 0, 4, 2, 0, 3, 0, 2, 0, 1, 4, 3, 3, 3, 4, 4, 0, 4, 3, 3, 0, 1, 1, 0, 2, 4, 4, 4, 3, 4, 2, 0, 3, 3, 2, 0, 0, 3, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 4, 1, 4, 2, 3, 0, 4, 2, 1, 4, 4, 2, 2, 3, 2, 4, 2, 2, 0, 2, 3, 0, 0, 0, 2, 3, 1, 1, 2, 1, 1, 1, 3, 4, 0, 0, 0, 1, 3, 1, 0, 1, 0, 0, 4, 3, 1, 0, 3, 1, 0, 1, 3, 3, 2, 3, 0, 3, 1, 1, 1, 4, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 3, 3, 1, 0, 0, 1, 1, 1, 2, 2, 3, 2, 4, 3, 2, 3, 1, 1, 1, 0, 2, 1, 4, 0, 4, 2, 0, 3, 2, 0, 0, 1, 2, 0, 4, 4, 4, 3, 4, 0, 4, 3, 0, 3, 4, 2, 1, 3, 1, 0, 3, 1, 1, 3, 2, 1, 3, 4, 4, 2, 1, 1, 2, 4, 0, 0, 4, 1, 0, 4, 0, 0, 4, 3, 4, 1, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 1, 1, 4, 1, 2, 4, 0, 0, 3, 3, 2, 0, 4, 3, 2, 3, 4, 2, 0, 2, 3, 3, 4, 0, 3, 2, 3, 0, 4, 0, 4, 3, 3, 4, 4, 2, 2, 3, 3, 2, 3, 1, 2, 0, 3, 3, 4, 1, 1, 1, 3, 1, 4, 3, 4, 1, 3] pubkeycol1185 = [4, 2, 3, 0, 3, 2, 2, 1, 0, 0, 4, 4, 2, 3, 3, 2, 1, 2, 4, 2, 3, 3, 0, 2, 3, 2, 2, 3, 0, 2, 2, 0, 2, 3, 0, 0, 3, 1, 0, 3, 0, 2, 3, 2, 1, 3, 4, 0, 3, 2, 0, 2, 2, 1, 1, 1, 3, 4, 0, 2, 1, 0, 2, 1, 0, 3, 0, 1, 1, 2, 4, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 4, 3, 1, 3, 3, 4, 2, 0, 1, 1, 3, 0, 2, 3, 0, 2, 1, 4, 1, 1, 2, 0, 2, 3, 4, 2, 0, 4, 0, 1, 1, 0, 1, 3, 4, 2, 3, 0, 0, 3, 2, 2, 2, 3, 1, 2, 1, 4, 0, 4, 0, 3, 3, 3, 0, 3, 2, 3, 3, 4, 3, 3, 2, 2, 1, 3, 2, 1, 2, 2, 3, 4, 4, 2, 0, 3, 4, 4, 0, 3, 0, 2, 4, 4, 1, 3, 3, 0, 3, 2, 3, 2, 3, 3, 1, 4, 0, 4, 4, 0, 0, 4, 2, 1, 2, 0, 2, 0, 4, 0, 4, 2, 4, 2, 3, 1, 4, 4, 2, 1, 4, 1, 3, 1, 0, 2, 0, 1, 4, 1, 4, 0, 2, 1, 4, 0, 4, 2, 0, 1, 0, 4, 4, 2, 4, 0, 2, 4, 2, 4, 1, 0, 0, 2, 4, 4, 2, 4, 0, 3, 3, 2, 4, 2, 0, 0, 1, 4, 0, 4, 4, 2, 1, 1, 3, 1, 1, 2, 1, 3, 0, 0, 4, 0, 2, 0, 0, 4, 4, 4, 1, 1, 0, 2, 0, 3, 1, 1, 1, 0, 4, 2, 4, 2, 1, 2, 0, 1, 0, 2, 1, 4, 2, 4, 2, 0, 1, 1, 0, 3, 0, 3, 2, 4, 4, 0, 3, 4, 3, 2, 3, 3, 1, 1] pubkeycol1186 = [1, 1, 0, 3, 1, 4, 0, 1, 2, 3, 4, 1, 3, 0, 1, 2, 2, 0, 4, 3, 4, 0, 0, 1, 4, 1, 0, 2, 4, 1, 4, 2, 2, 1, 0, 0, 2, 2, 2, 2, 4, 0, 0, 3, 4, 4, 3, 0, 2, 3, 0, 4, 0, 0, 3, 3, 1, 4, 1, 4, 0, 2, 4, 1, 3, 0, 4, 4, 1, 1, 4, 1, 4, 0, 3, 4, 2, 3, 0, 1, 0, 0, 1, 3, 2, 3, 2, 1, 4, 3, 4, 4, 0, 0, 2, 4, 1, 0, 4, 1, 0, 1, 4, 4, 0, 1, 0, 2, 1, 3, 3, 0, 4, 2, 0, 3, 1, 1, 2, 3, 1, 1, 2, 2, 3, 1, 0, 3, 0, 1, 4, 4, 0, 1, 3, 0, 1, 3, 2, 1, 1, 4, 2, 0, 0, 1, 3, 3, 1, 1, 4, 4, 0, 1, 2, 1, 1, 3, 1, 0, 3, 4, 0, 4, 3, 3, 4, 1, 4, 0, 2, 4, 4, 2, 4, 0, 2, 3, 1, 0, 4, 4, 0, 2, 3, 2, 2, 3, 2, 4, 2, 1, 2, 4, 4, 2, 0, 3, 3, 1, 0, 1, 2, 3, 0, 1, 2, 2, 4, 4, 1, 2, 0, 4, 4, 2, 2, 3, 4, 2, 4, 3, 2, 4, 0, 4, 2, 3, 1, 3, 3, 2, 1, 3, 3, 1, 1, 3, 0, 2, 2, 3, 0, 2, 0, 3, 3, 0, 3, 2, 4, 4, 4, 3, 2, 3, 3, 2, 1, 2, 1, 2, 2, 4, 3, 2, 4, 0, 0, 0, 1, 0, 0, 1, 2, 3, 1, 0, 3, 2, 0, 2, 1, 2, 3, 0, 0, 2, 0, 3, 1, 3, 0, 2, 3, 2, 3, 1, 4, 2, 1, 4, 2, 0, 4, 3, 1, 4, 4, 1, 2, 1, 1, 3, 0, 4, 1, 1, 3, 0] pubkeycol1187 = [2, 3, 1, 3, 1, 1, 2, 4, 3, 2, 0, 0, 0, 0, 3, 2, 1, 1, 0, 3, 4, 0, 1, 3, 1, 2, 4, 0, 4, 0, 0, 4, 0, 3, 0, 2, 3, 2, 1, 1, 4, 0, 2, 0, 2, 3, 1, 2, 4, 1, 0, 0, 3, 4, 1, 3, 2, 0, 4, 2, 0, 4, 3, 3, 1, 0, 0, 1, 2, 2, 4, 4, 0, 4, 3, 2, 3, 4, 2, 4, 3, 0, 3, 1, 2, 1, 4, 0, 1, 2, 1, 3, 4, 3, 3, 4, 2, 2, 2, 4, 4, 2, 1, 1, 4, 0, 0, 2, 0, 1, 1, 4, 4, 2, 1, 0, 2, 4, 1, 2, 1, 4, 0, 0, 3, 3, 0, 0, 2, 3, 4, 1, 3, 0, 1, 3, 0, 1, 0, 0, 2, 2, 0, 2, 4, 4, 0, 1, 4, 2, 3, 0, 1, 0, 3, 2, 2, 3, 2, 2, 3, 0, 2, 0, 4, 1, 2, 4, 0, 0, 4, 2, 1, 4, 0, 0, 4, 0, 2, 3, 4, 0, 0, 3, 1, 4, 2, 0, 3, 3, 4, 1, 2, 1, 2, 0, 2, 4, 1, 3, 3, 2, 2, 4, 2, 3, 4, 2, 0, 3, 4, 4, 2, 1, 1, 2, 3, 4, 4, 0, 1, 0, 1, 3, 3, 3, 3, 0, 0, 2, 3, 4, 1, 1, 2, 4, 1, 2, 1, 0, 4, 2, 3, 2, 1, 4, 2, 2, 3, 0, 4, 0, 2, 2, 3, 3, 3, 3, 4, 1, 1, 1, 2, 1, 0, 3, 4, 2, 2, 2, 0, 1, 0, 0, 0, 3, 0, 1, 3, 4, 3, 0, 1, 1, 3, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 4, 3, 1, 4, 0, 3, 0, 2, 3, 0, 0, 4, 4, 2, 4, 2, 0, 0, 1, 0, 1, 4, 2, 3, 2] pubkeycol1188 = [2, 2, 1, 0, 0, 3, 3, 3, 3, 2, 4, 3, 4, 1, 4, 1, 4, 0, 1, 0, 0, 4, 4, 1, 0, 0, 2, 3, 0, 4, 2, 0, 1, 3, 0, 2, 2, 4, 1, 4, 2, 0, 4, 0, 1, 4, 1, 3, 3, 1, 3, 3, 1, 4, 0, 2, 3, 4, 2, 1, 2, 1, 0, 2, 3, 2, 2, 1, 0, 2, 4, 1, 2, 0, 4, 4, 2, 3, 4, 0, 1, 3, 3, 3, 2, 2, 3, 0, 3, 1, 0, 4, 2, 2, 2, 3, 3, 2, 4, 3, 4, 0, 3, 0, 2, 0, 4, 1, 4, 0, 0, 2, 1, 4, 1, 0, 3, 2, 1, 2, 1, 0, 3, 4, 1, 0, 3, 4, 2, 0, 1, 4, 4, 3, 1, 4, 1, 2, 3, 1, 3, 4, 1, 4, 1, 2, 4, 1, 4, 1, 3, 1, 0, 1, 2, 2, 1, 3, 0, 0, 4, 2, 0, 4, 3, 1, 2, 1, 4, 4, 3, 4, 0, 1, 1, 1, 4, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 4, 3, 4, 2, 1, 0, 2, 3, 3, 4, 1, 4, 1, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 0, 2, 1, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 0, 4, 3, 1, 3, 0, 2, 4, 0, 1, 4, 4, 2, 1, 0, 0, 0, 2, 1, 3, 3, 2, 2, 4, 0, 2, 3, 3, 4, 4, 2, 3, 3, 3, 2, 3, 3, 2, 4, 1, 0, 3, 1, 2, 2, 3, 4, 4, 3, 0, 1, 2, 3, 2, 3, 0, 4, 1, 1, 4, 4, 4, 0, 4, 4, 0, 3, 0, 2, 1, 4, 1, 4, 3, 2, 3, 2, 1, 3, 1, 1, 2, 4, 4, 3, 0, 0, 2, 2, 4, 4, 1, 3, 2, 1] pubkeycol1189 = [4, 1, 0, 2, 1, 4, 4, 4, 1, 2, 3, 4, 2, 3, 0, 1, 2, 4, 4, 3, 2, 4, 2, 2, 0, 2, 3, 3, 2, 4, 4, 4, 4, 3, 1, 4, 1, 4, 0, 0, 1, 1, 2, 2, 1, 2, 4, 3, 0, 4, 2, 2, 3, 0, 2, 0, 2, 2, 3, 4, 3, 4, 2, 3, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 4, 0, 3, 4, 0, 2, 0, 2, 3, 3, 0, 2, 4, 0, 2, 0, 4, 4, 3, 2, 4, 3, 1, 4, 3, 4, 0, 4, 1, 1, 3, 3, 2, 2, 2, 4, 3, 4, 2, 0, 0, 4, 3, 1, 1, 4, 0, 0, 1, 4, 2, 2, 4, 0, 4, 2, 0, 4, 4, 0, 1, 2, 1, 3, 0, 4, 0, 2, 3, 2, 2, 2, 4, 4, 1, 3, 0, 0, 1, 1, 3, 4, 4, 0, 0, 4, 1, 1, 4, 1, 4, 2, 1, 0, 3, 4, 4, 2, 3, 2, 1, 0, 1, 4, 4, 2, 1, 2, 3, 3, 1, 0, 0, 4, 2, 4, 1, 0, 0, 2, 2, 4, 1, 4, 3, 1, 2, 0, 4, 4, 3, 1, 4, 0, 2, 2, 3, 0, 0, 2, 1, 0, 3, 3, 1, 2, 1, 0, 3, 1, 3, 0, 3, 4, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 3, 0, 3, 3, 1, 4, 3, 1, 4, 2, 4, 4, 1, 0, 0, 1, 3, 3, 0, 3, 3, 2, 4, 2, 2, 3, 3, 2, 1, 2, 1, 1, 0, 2, 2, 3, 1, 4, 2, 2, 0, 3, 0, 0, 2, 1, 4, 1, 1, 1, 4, 4, 4, 1, 4, 4, 4, 2, 1, 0, 3, 3, 0, 0, 0, 2, 2, 0, 3, 1, 4, 1] pubkeycol1190 = [2, 2, 4, 3, 4, 2, 0, 4, 2, 0, 0, 0, 0, 2, 2, 3, 3, 4, 2, 2, 0, 2, 0, 0, 0, 0, 1, 3, 4, 4, 4, 2, 0, 2, 0, 0, 2, 3, 2, 0, 0, 1, 3, 2, 1, 4, 2, 4, 2, 1, 1, 1, 3, 4, 2, 0, 2, 3, 4, 4, 2, 1, 2, 3, 3, 4, 3, 4, 0, 4, 2, 3, 3, 0, 1, 2, 3, 1, 0, 1, 3, 4, 2, 1, 2, 1, 3, 0, 4, 0, 3, 2, 2, 4, 3, 1, 4, 2, 0, 1, 2, 0, 0, 0, 3, 0, 4, 1, 4, 0, 3, 0, 0, 4, 4, 2, 2, 3, 0, 2, 4, 0, 1, 0, 2, 3, 4, 0, 1, 1, 1, 3, 4, 3, 2, 0, 4, 1, 0, 2, 2, 3, 4, 2, 1, 2, 1, 1, 3, 1, 2, 0, 2, 1, 4, 4, 4, 1, 2, 4, 4, 4, 2, 2, 2, 0, 0, 0, 3, 0, 2, 3, 2, 3, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 4, 2, 0, 1, 4, 1, 1, 4, 1, 2, 4, 4, 2, 1, 1, 1, 4, 3, 3, 4, 4, 2, 2, 1, 4, 0, 4, 1, 3, 0, 0, 2, 3, 1, 1, 0, 1, 0, 0, 3, 1, 1, 3, 2, 4, 1, 1, 4, 4, 4, 2, 3, 2, 2, 0, 3, 3, 1, 2, 2, 2, 4, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 2, 3, 2, 0, 3, 3, 1, 2, 2, 0, 1, 0, 1, 3, 2, 2, 2, 1, 4, 4, 2, 2, 2, 1, 3, 2, 4, 2, 2, 1, 0, 0, 2, 1, 3, 4, 4, 4, 1, 3, 0, 3, 3, 1, 0, 0, 0, 1, 0, 0, 4, 3, 4, 1, 2] pubkeycol1191 = [0, 4, 3, 0, 2, 3, 3, 2, 4, 0, 1, 2, 0, 2, 4, 4, 4, 4, 3, 1, 0, 3, 4, 2, 1, 1, 0, 1, 0, 0, 0, 1, 3, 0, 4, 4, 2, 4, 3, 2, 0, 2, 3, 0, 0, 2, 4, 3, 0, 0, 3, 4, 1, 0, 4, 4, 1, 1, 0, 1, 1, 0, 4, 1, 3, 1, 0, 0, 2, 4, 3, 1, 2, 0, 1, 1, 0, 3, 1, 1, 1, 3, 1, 1, 4, 0, 1, 0, 4, 4, 2, 0, 1, 2, 0, 1, 2, 0, 1, 4, 3, 4, 4, 3, 4, 1, 1, 0, 3, 1, 1, 4, 4, 2, 1, 4, 4, 3, 3, 4, 1, 4, 2, 3, 4, 4, 3, 2, 4, 2, 0, 3, 3, 4, 1, 2, 3, 4, 0, 2, 2, 4, 3, 3, 2, 3, 0, 1, 0, 3, 3, 3, 1, 1, 4, 4, 2, 0, 1, 2, 0, 3, 2, 4, 4, 4, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 4, 4, 3, 3, 1, 2, 3, 2, 3, 1, 2, 3, 3, 0, 2, 2, 0, 0, 4, 2, 0, 2, 3, 1, 0, 1, 0, 3, 1, 4, 0, 4, 0, 3, 3, 4, 1, 1, 3, 1, 3, 4, 3, 3, 2, 4, 2, 0, 4, 1, 2, 0, 2, 2, 1, 0, 3, 1, 3, 1, 3, 3, 2, 0, 0, 4, 4, 0, 2, 1, 3, 0, 1, 2, 1, 1, 0, 3, 1, 4, 0, 3, 1, 2, 4, 1, 3, 4, 1, 1, 4, 3, 0, 0, 3, 4, 3, 4, 1, 3, 4, 1, 4, 0, 2, 0, 1, 1, 1, 4, 2, 1, 1, 0, 1, 2, 2, 2, 0, 4, 3, 0, 2, 1, 0, 0, 3, 1, 0, 0, 4, 3, 3, 3, 0, 4, 1, 0, 0, 3, 0, 0, 2, 4] pubkeycol1192 = [0, 0, 2, 4, 0, 1, 0, 1, 1, 0, 3, 1, 4, 1, 2, 0, 4, 2, 2, 3, 1, 2, 4, 3, 4, 0, 3, 0, 2, 4, 3, 3, 3, 0, 1, 1, 3, 2, 2, 0, 0, 2, 4, 0, 1, 3, 1, 1, 4, 1, 2, 1, 1, 4, 2, 3, 1, 2, 2, 0, 3, 2, 1, 3, 2, 1, 2, 3, 4, 1, 0, 3, 1, 0, 1, 0, 2, 4, 2, 4, 3, 3, 0, 3, 1, 0, 2, 3, 2, 3, 3, 1, 3, 1, 1, 4, 1, 2, 2, 0, 0, 3, 3, 4, 4, 0, 3, 4, 2, 0, 4, 4, 3, 4, 1, 1, 4, 3, 2, 4, 3, 0, 2, 3, 2, 3, 2, 4, 2, 2, 4, 3, 2, 3, 2, 4, 4, 3, 1, 0, 3, 3, 4, 0, 2, 1, 0, 4, 3, 2, 4, 4, 2, 0, 2, 2, 4, 1, 0, 0, 3, 1, 1, 0, 4, 3, 4, 1, 0, 1, 2, 0, 4, 3, 0, 2, 0, 2, 4, 4, 4, 0, 1, 3, 2, 4, 2, 2, 0, 4, 3, 1, 3, 2, 4, 3, 0, 4, 0, 0, 1, 1, 4, 2, 0, 0, 2, 0, 3, 1, 4, 2, 2, 2, 3, 4, 0, 3, 2, 2, 1, 0, 3, 0, 0, 1, 2, 3, 4, 4, 4, 1, 4, 3, 3, 0, 1, 4, 4, 0, 4, 4, 2, 4, 1, 4, 4, 4, 3, 3, 2, 4, 0, 1, 4, 4, 0, 4, 4, 3, 1, 4, 1, 3, 4, 1, 0, 2, 3, 2, 0, 0, 0, 4, 1, 3, 4, 0, 3, 1, 1, 3, 4, 3, 1, 4, 4, 2, 3, 1, 2, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 0, 3, 0, 2, 2, 3, 1, 1, 1, 4, 2, 0, 1, 1, 3, 4, 0, 3, 3] pubkeycol1193 = [0, 4, 2, 3, 1, 2, 2, 4, 3, 1, 0, 2, 4, 3, 1, 4, 2, 3, 4, 2, 2, 1, 0, 1, 0, 4, 3, 2, 3, 2, 0, 1, 1, 4, 2, 2, 4, 0, 0, 0, 2, 3, 3, 1, 2, 0, 2, 2, 3, 2, 0, 0, 4, 0, 1, 4, 1, 0, 2, 3, 1, 3, 1, 4, 1, 4, 1, 3, 3, 0, 0, 3, 1, 4, 3, 2, 0, 0, 2, 4, 2, 3, 4, 4, 2, 3, 1, 2, 2, 4, 1, 4, 4, 4, 0, 4, 4, 3, 0, 2, 1, 0, 4, 1, 3, 3, 3, 4, 4, 2, 1, 3, 0, 0, 4, 0, 3, 0, 4, 1, 1, 2, 2, 4, 4, 3, 3, 3, 4, 2, 2, 1, 4, 0, 4, 3, 1, 0, 0, 2, 2, 2, 3, 1, 1, 0, 2, 4, 1, 4, 0, 2, 3, 1, 1, 4, 3, 3, 3, 1, 4, 0, 0, 0, 2, 3, 0, 0, 4, 0, 3, 2, 1, 2, 0, 3, 1, 3, 1, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 4, 4, 3, 1, 3, 0, 1, 4, 2, 3, 2, 1, 1, 3, 4, 0, 2, 2, 0, 3, 0, 4, 4, 4, 0, 1, 2, 0, 2, 1, 3, 1, 1, 0, 1, 4, 0, 1, 0, 3, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 4, 4, 1, 0, 4, 3, 1, 1, 2, 4, 0, 1, 1, 0, 3, 4, 3, 4, 1, 1, 0, 0, 4, 4, 3, 3, 1, 0, 2, 4, 3, 1, 3, 1, 2, 2, 4, 3, 2, 2, 1, 2, 2, 4, 1, 3, 2, 0, 4, 3, 0, 4, 2, 2, 1, 2, 0, 0, 0, 0, 3, 0, 2, 3, 0, 3, 0, 0, 1, 0, 3, 3, 1, 2, 2, 1, 4, 4, 2, 4] pubkeycol1194 = [4, 2, 4, 3, 0, 3, 1, 4, 4, 0, 1, 4, 0, 1, 4, 4, 4, 1, 1, 2, 3, 0, 1, 2, 4, 0, 2, 4, 3, 2, 1, 2, 2, 1, 3, 3, 3, 1, 0, 3, 1, 0, 2, 0, 2, 3, 3, 2, 3, 1, 2, 4, 4, 3, 1, 2, 3, 2, 4, 2, 3, 1, 4, 1, 4, 2, 3, 4, 2, 2, 0, 3, 0, 3, 3, 3, 4, 3, 4, 2, 3, 1, 0, 1, 4, 4, 2, 4, 0, 4, 4, 2, 0, 2, 4, 4, 3, 1, 0, 4, 2, 1, 1, 2, 3, 1, 4, 3, 1, 1, 1, 1, 2, 3, 3, 4, 1, 3, 2, 0, 0, 4, 1, 3, 3, 3, 2, 1, 4, 0, 0, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 4, 2, 2, 4, 4, 2, 1, 0, 3, 2, 1, 3, 1, 0, 4, 0, 0, 4, 0, 3, 3, 0, 1, 4, 0, 2, 2, 0, 3, 0, 4, 3, 3, 2, 3, 1, 2, 3, 2, 4, 2, 2, 0, 0, 0, 1, 2, 1, 4, 0, 1, 0, 1, 2, 3, 1, 3, 0, 1, 1, 1, 4, 2, 4, 4, 3, 1, 4, 1, 0, 1, 0, 2, 4, 0, 4, 4, 2, 0, 4, 1, 3, 0, 1, 3, 3, 1, 2, 0, 4, 0, 1, 3, 1, 2, 1, 3, 1, 0, 2, 3, 0, 0, 4, 3, 3, 1, 4, 0, 4, 4, 0, 2, 1, 2, 4, 3, 1, 4, 1, 3, 1, 4, 2, 0, 4, 4, 3, 2, 1, 1, 1, 4, 4, 1, 1, 4, 1, 0, 0, 4, 2, 1, 0, 3, 3, 1, 0, 2, 1, 3, 0, 4, 0, 1, 4, 1, 0, 0, 0, 3, 2, 0, 1, 3, 2, 2, 2, 2, 2, 1, 0, 1, 4, 1, 4, 3] pubkeycol1195 = [3, 2, 4, 2, 1, 1, 2, 4, 2, 0, 2, 0, 4, 4, 2, 3, 0, 3, 1, 1, 4, 0, 3, 1, 0, 1, 4, 0, 4, 2, 2, 4, 1, 2, 2, 0, 1, 3, 2, 1, 3, 2, 3, 3, 1, 2, 0, 1, 3, 1, 1, 1, 0, 3, 2, 0, 3, 3, 3, 4, 1, 1, 3, 0, 3, 3, 3, 2, 1, 4, 3, 3, 4, 0, 0, 2, 4, 2, 0, 2, 4, 3, 3, 0, 1, 1, 0, 1, 4, 1, 0, 2, 3, 2, 1, 2, 1, 3, 3, 4, 4, 2, 2, 1, 2, 4, 4, 3, 0, 0, 3, 1, 2, 4, 3, 1, 2, 4, 2, 3, 4, 2, 1, 2, 4, 3, 3, 1, 1, 4, 0, 3, 2, 1, 2, 2, 0, 1, 4, 2, 4, 1, 3, 0, 4, 0, 2, 0, 0, 0, 1, 2, 2, 3, 4, 3, 1, 4, 1, 1, 3, 0, 0, 3, 1, 1, 2, 4, 0, 4, 2, 2, 0, 1, 1, 4, 2, 3, 2, 3, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 4, 3, 1, 4, 4, 1, 2, 4, 3, 1, 2, 1, 2, 0, 0, 0, 4, 1, 1, 0, 2, 4, 2, 4, 3, 1, 4, 0, 3, 1, 2, 2, 2, 1, 2, 0, 1, 4, 3, 0, 3, 0, 0, 4, 3, 0, 2, 3, 3, 3, 1, 1, 3, 4, 2, 3, 4, 0, 4, 4, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 0, 3, 2, 1, 3, 4, 4, 1, 1, 3, 1, 1, 4, 3, 4, 3, 1, 3, 2, 2, 4, 0, 1, 3, 0, 0, 3, 4, 4, 2, 3, 1, 4, 4, 2, 4, 1, 0, 0, 2, 0, 1, 1, 0, 3, 0, 1, 1, 0, 4, 4, 3, 1, 1, 0, 3, 2, 3] pubkeycol1196 = [0, 2, 4, 1, 3, 2, 0, 0, 0, 1, 0, 2, 4, 0, 3, 3, 1, 3, 0, 0, 3, 3, 3, 1, 1, 1, 2, 0, 2, 0, 2, 3, 1, 2, 3, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 4, 0, 0, 4, 0, 3, 4, 3, 0, 3, 0, 0, 4, 3, 3, 1, 2, 3, 0, 4, 1, 3, 3, 3, 3, 3, 2, 0, 4, 2, 1, 4, 0, 0, 4, 0, 0, 1, 1, 4, 0, 1, 2, 3, 0, 4, 3, 2, 1, 4, 1, 4, 1, 4, 3, 1, 2, 1, 4, 4, 1, 3, 4, 3, 3, 2, 2, 4, 3, 1, 0, 2, 3, 0, 3, 4, 1, 0, 3, 2, 2, 3, 0, 2, 3, 2, 0, 3, 4, 4, 4, 2, 1, 1, 0, 3, 3, 2, 4, 2, 4, 3, 1, 3, 4, 4, 2, 0, 0, 4, 1, 1, 4, 2, 1, 4, 4, 0, 2, 2, 3, 0, 1, 4, 4, 1, 0, 1, 4, 2, 1, 1, 3, 1, 4, 0, 3, 4, 4, 4, 0, 2, 2, 0, 3, 1, 0, 2, 1, 1, 2, 4, 1, 4, 3, 0, 2, 4, 4, 0, 0, 3, 4, 2, 0, 4, 0, 3, 0, 3, 2, 2, 3, 1, 3, 1, 1, 2, 0, 3, 1, 0, 2, 3, 4, 2, 0, 4, 0, 1, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, 4, 0, 1, 3, 1, 4, 3, 1, 0, 4, 3, 2, 1, 1, 3, 1, 4, 1, 0, 2, 4, 3, 3, 2, 2, 3, 2, 0, 4, 2, 0, 3, 3, 2, 0, 1, 2, 2, 4, 3, 0, 0, 0, 1, 0, 3, 3, 1, 3, 1, 3, 4, 1, 0, 1, 4, 4, 1, 4, 0, 0, 3, 0, 3, 2, 2, 3, 1, 1, 4, 1, 3, 4, 0, 2] pubkeycol1197 = [1, 2, 2, 4, 4, 3, 2, 3, 4, 3, 0, 0, 3, 3, 1, 0, 3, 3, 0, 0, 1, 0, 4, 2, 0, 2, 1, 4, 3, 4, 3, 4, 4, 3, 0, 0, 1, 4, 3, 3, 4, 3, 2, 0, 1, 2, 3, 3, 1, 1, 1, 2, 4, 1, 4, 0, 1, 0, 3, 0, 0, 3, 4, 1, 3, 4, 3, 2, 3, 1, 2, 1, 0, 2, 3, 0, 0, 3, 2, 2, 4, 3, 1, 1, 2, 0, 0, 4, 3, 1, 2, 3, 3, 1, 2, 0, 0, 4, 3, 4, 2, 3, 0, 0, 1, 3, 4, 0, 2, 0, 0, 2, 2, 2, 0, 1, 3, 3, 2, 2, 0, 3, 4, 1, 0, 4, 2, 4, 4, 2, 1, 2, 2, 1, 4, 0, 1, 4, 2, 1, 1, 0, 1, 3, 4, 1, 2, 1, 1, 4, 2, 4, 1, 0, 4, 1, 0, 4, 2, 0, 3, 4, 4, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 4, 1, 0, 4, 3, 0, 3, 0, 3, 0, 3, 2, 1, 1, 2, 1, 2, 4, 2, 2, 0, 3, 4, 3, 4, 0, 4, 0, 0, 0, 3, 3, 1, 1, 3, 4, 4, 3, 4, 0, 4, 3, 3, 4, 0, 1, 1, 4, 4, 0, 3, 4, 3, 3, 3, 0, 0, 2, 4, 2, 3, 4, 2, 2, 3, 1, 0, 4, 3, 4, 2, 0, 4, 3, 3, 2, 0, 2, 2, 1, 2, 3, 0, 2, 0, 4, 2, 4, 3, 0, 3, 2, 1, 2, 2, 1, 1, 1, 1, 4, 1, 3, 1, 0, 0, 0, 3, 3, 4, 0, 1, 4, 4, 0, 1, 3, 1, 0, 1, 1, 0, 2, 0, 1, 4, 2, 3, 3, 1, 4, 1, 3, 4, 3, 0, 3, 4, 3, 2, 2, 4, 4, 1, 2, 2, 0, 3] pubkeycol1198 = [1, 3, 3, 0, 0, 2, 3, 4, 4, 2, 0, 1, 3, 3, 4, 1, 1, 0, 3, 0, 0, 0, 3, 2, 2, 2, 1, 3, 2, 2, 2, 0, 0, 3, 2, 4, 0, 1, 3, 2, 0, 3, 4, 0, 1, 4, 4, 0, 0, 4, 1, 4, 3, 3, 4, 2, 1, 1, 0, 0, 4, 2, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 2, 0, 3, 4, 0, 1, 1, 0, 3, 0, 3, 3, 0, 4, 0, 3, 2, 2, 2, 1, 3, 0, 1, 1, 2, 0, 4, 3, 2, 1, 3, 2, 0, 4, 3, 0, 0, 3, 2, 3, 2, 0, 3, 4, 3, 0, 4, 4, 3, 2, 0, 0, 3, 4, 1, 2, 4, 4, 2, 2, 4, 3, 4, 4, 2, 4, 3, 0, 1, 1, 4, 0, 4, 2, 4, 0, 1, 4, 0, 4, 1, 3, 2, 1, 0, 2, 3, 0, 4, 0, 2, 0, 3, 2, 0, 4, 4, 4, 4, 0, 1, 2, 1, 3, 1, 3, 0, 3, 1, 1, 3, 2, 0, 0, 4, 1, 3, 1, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 3, 4, 2, 1, 3, 0, 2, 3, 4, 1, 3, 0, 4, 4, 3, 3, 1, 4, 2, 4, 3, 1, 1, 1, 3, 1, 1, 0, 3, 3, 4, 2, 0, 0, 0, 2, 2, 0, 1, 1, 4, 3, 0, 4, 4, 4, 4, 0, 2, 3, 0, 4, 4, 4, 0, 4, 1, 2, 1, 4, 1, 2, 1, 1, 2, 3, 4, 4, 3, 1, 4, 3, 4, 1, 4, 3, 4, 3, 2, 4, 4, 1, 1, 0, 2, 2, 2, 0, 0, 4, 2, 0, 2, 2, 2, 2, 0, 0, 4, 1, 1, 4, 0, 3, 4, 4, 1, 4, 3, 2, 0, 2, 2, 0, 0, 2, 3, 1, 2, 0] pubkeycol1199 = [2, 2, 1, 1, 2, 0, 2, 4, 4, 0, 0, 3, 3, 1, 0, 3, 1, 2, 3, 4, 2, 2, 2, 3, 2, 0, 1, 4, 0, 3, 2, 4, 0, 4, 4, 4, 2, 4, 0, 1, 0, 4, 2, 2, 3, 1, 3, 3, 0, 3, 4, 0, 4, 4, 2, 2, 0, 4, 0, 0, 3, 1, 3, 0, 0, 4, 1, 2, 1, 2, 3, 4, 3, 0, 2, 0, 3, 3, 3, 4, 4, 4, 2, 1, 4, 4, 3, 1, 0, 1, 1, 0, 1, 4, 1, 4, 0, 2, 3, 4, 4, 3, 1, 3, 0, 1, 3, 4, 2, 2, 0, 3, 3, 2, 2, 2, 3, 4, 1, 2, 1, 4, 0, 3, 1, 1, 1, 1, 4, 3, 4, 4, 0, 0, 0, 4, 0, 1, 4, 2, 4, 0, 4, 3, 2, 4, 0, 1, 2, 4, 0, 2, 2, 1, 4, 1, 2, 2, 0, 0, 1, 4, 4, 4, 2, 4, 1, 0, 2, 0, 0, 3, 4, 2, 0, 4, 1, 4, 3, 3, 0, 3, 3, 2, 0, 1, 2, 2, 0, 3, 4, 2, 3, 0, 4, 2, 3, 2, 2, 4, 4, 2, 2, 4, 0, 1, 3, 2, 0, 3, 4, 0, 1, 0, 4, 4, 3, 1, 0, 2, 0, 0, 3, 3, 2, 2, 4, 1, 3, 1, 3, 1, 2, 3, 4, 4, 2, 1, 1, 4, 2, 3, 4, 4, 3, 0, 2, 3, 1, 0, 2, 4, 2, 2, 2, 4, 0, 1, 1, 4, 2, 0, 4, 4, 0, 2, 0, 1, 4, 3, 1, 4, 4, 4, 1, 3, 4, 3, 1, 3, 2, 4, 4, 2, 0, 1, 3, 2, 2, 4, 1, 1, 4, 3, 0, 4, 2, 4, 0, 4, 3, 2, 3, 0, 3, 2, 4, 0, 2, 1, 0, 2, 4, 1, 0, 2, 4, 0, 1, 0] pubkeycol1200 = [2, 3, 3, 3, 0, 4, 3, 0, 1, 2, 0, 2, 1, 4, 3, 1, 2, 2, 4, 4, 4, 2, 4, 2, 3, 3, 4, 0, 2, 2, 0, 2, 2, 2, 4, 2, 1, 2, 1, 0, 2, 0, 0, 1, 4, 2, 4, 0, 1, 4, 3, 4, 2, 1, 1, 2, 0, 3, 1, 1, 4, 3, 4, 0, 1, 3, 4, 1, 1, 1, 2, 4, 0, 3, 1, 1, 1, 0, 3, 1, 1, 1, 1, 4, 4, 2, 2, 0, 0, 1, 4, 1, 1, 4, 4, 0, 2, 2, 2, 0, 1, 4, 3, 2, 0, 2, 3, 2, 4, 4, 2, 3, 2, 0, 1, 0, 1, 0, 4, 1, 0, 3, 3, 4, 3, 3, 4, 2, 4, 2, 3, 1, 4, 3, 3, 4, 2, 3, 0, 0, 1, 0, 3, 3, 1, 3, 0, 0, 4, 1, 1, 3, 2, 4, 4, 2, 4, 3, 0, 4, 4, 3, 0, 1, 3, 4, 2, 4, 1, 1, 1, 2, 2, 3, 3, 1, 4, 0, 2, 1, 3, 1, 2, 4, 2, 3, 0, 3, 1, 4, 0, 3, 4, 4, 2, 0, 0, 0, 2, 1, 4, 0, 4, 3, 0, 0, 1, 4, 0, 1, 1, 2, 3, 3, 4, 1, 0, 2, 3, 1, 4, 2, 1, 0, 4, 3, 3, 0, 2, 0, 3, 2, 3, 1, 0, 2, 3, 2, 2, 0, 0, 1, 1, 0, 2, 4, 4, 3, 0, 0, 1, 2, 1, 1, 2, 0, 0, 3, 3, 2, 0, 1, 4, 0, 4, 2, 2, 0, 1, 1, 3, 4, 0, 2, 1, 0, 1, 3, 0, 0, 2, 3, 4, 3, 0, 0, 2, 2, 4, 1, 4, 4, 2, 3, 4, 2, 0, 4, 3, 0, 0, 3, 2, 2, 1, 2, 3, 1, 1, 3, 4, 3, 4, 4, 2, 3, 3, 0, 1, 1] pubkeycol1201 = [4, 4, 0, 2, 3, 2, 2, 2, 0, 4, 3, 2, 3, 1, 4, 0, 3, 1, 0, 2, 1, 4, 3, 1, 1, 4, 1, 2, 4, 2, 0, 0, 0, 3, 0, 3, 1, 0, 2, 1, 1, 2, 3, 3, 1, 0, 2, 0, 3, 1, 3, 0, 0, 4, 2, 0, 1, 2, 1, 4, 0, 1, 3, 4, 0, 2, 0, 2, 3, 1, 2, 4, 0, 3, 3, 0, 1, 3, 2, 3, 4, 1, 0, 0, 1, 1, 4, 1, 4, 4, 3, 0, 2, 0, 1, 4, 1, 4, 1, 2, 1, 2, 3, 0, 0, 3, 1, 2, 4, 0, 2, 2, 3, 0, 0, 1, 4, 4, 3, 4, 3, 0, 3, 2, 3, 1, 4, 2, 2, 4, 1, 4, 4, 2, 3, 2, 3, 4, 0, 1, 2, 1, 0, 1, 3, 0, 0, 4, 3, 2, 3, 4, 1, 0, 2, 0, 3, 3, 3, 2, 3, 4, 1, 0, 4, 3, 3, 2, 1, 1, 0, 3, 3, 4, 3, 1, 3, 2, 4, 3, 4, 4, 3, 4, 0, 4, 4, 3, 0, 4, 4, 3, 1, 4, 4, 1, 0, 1, 4, 3, 1, 0, 2, 1, 3, 3, 2, 0, 0, 3, 2, 1, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 2, 4, 3, 0, 2, 3, 1, 2, 1, 0, 3, 2, 3, 1, 4, 4, 1, 3, 1, 0, 2, 3, 0, 4, 1, 4, 1, 0, 1, 3, 2, 4, 0, 1, 2, 0, 1, 2, 0, 2, 0, 3, 4, 4, 3, 4, 0, 4, 2, 2, 1, 4, 2, 1, 2, 4, 2, 4, 0, 0, 4, 0, 1, 1, 1, 3, 1, 1, 3, 0, 0, 0, 2, 4, 3, 1, 0, 1, 4, 1, 2, 4, 2, 3, 2, 0, 3, 2, 4, 1, 3, 1, 1, 3, 4, 2, 2, 1] pubkeycol1202 = [0, 2, 0, 0, 2, 4, 2, 2, 4, 3, 1, 0, 3, 2, 0, 3, 4, 3, 3, 3, 1, 4, 3, 2, 4, 4, 1, 3, 4, 4, 3, 1, 0, 2, 3, 1, 4, 4, 0, 4, 0, 1, 0, 4, 2, 1, 4, 0, 1, 3, 3, 1, 4, 3, 4, 3, 3, 2, 2, 2, 2, 0, 4, 4, 4, 0, 4, 1, 1, 0, 3, 0, 4, 1, 3, 0, 1, 1, 3, 3, 4, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 4, 1, 3, 2, 1, 2, 0, 2, 3, 2, 4, 3, 4, 4, 4, 2, 0, 2, 0, 0, 2, 2, 3, 4, 2, 3, 1, 3, 4, 2, 1, 4, 1, 2, 1, 2, 2, 0, 0, 3, 2, 1, 4, 4, 4, 4, 3, 3, 0, 3, 0, 4, 0, 4, 4, 2, 0, 2, 1, 0, 3, 4, 4, 4, 0, 4, 0, 2, 2, 3, 0, 4, 4, 1, 2, 2, 2, 1, 2, 1, 0, 3, 3, 1, 2, 0, 0, 2, 3, 1, 2, 1, 0, 2, 0, 0, 0, 3, 0, 0, 2, 1, 1, 4, 4, 2, 0, 2, 0, 0, 0, 2, 4, 1, 3, 1, 3, 3, 4, 2, 3, 4, 1, 2, 1, 1, 0, 0, 2, 1, 1, 3, 2, 0, 0, 2, 3, 1, 4, 1, 2, 3, 4, 4, 3, 0, 0, 0, 0, 3, 2, 3, 2, 1, 3, 1, 2, 2, 2, 0, 3, 3, 4, 0, 1, 3, 1, 4, 4, 3, 2, 4, 1, 0, 1, 1, 2, 2, 4, 4, 1, 4, 0, 0, 3, 2, 4, 0, 3, 4, 3, 3, 4, 1, 3, 4, 0, 3, 4, 4, 4, 0, 3, 3, 4, 1, 1, 0, 2, 0, 4, 2, 4, 1, 1, 3, 4, 3, 4, 4, 1, 4, 3, 4, 4, 4, 3, 1] pubkeycol1203 = [2, 1, 0, 1, 2, 4, 3, 0, 2, 0, 3, 3, 0, 4, 4, 3, 0, 1, 0, 1, 4, 1, 4, 2, 2, 2, 0, 3, 1, 0, 2, 2, 1, 2, 1, 4, 2, 1, 3, 3, 4, 1, 3, 0, 0, 4, 2, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 4, 2, 1, 0, 3, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 4, 0, 2, 1, 2, 4, 3, 1, 0, 2, 3, 3, 2, 3, 3, 4, 2, 2, 0, 3, 0, 2, 4, 3, 1, 2, 4, 2, 2, 1, 4, 0, 0, 3, 2, 3, 3, 1, 2, 1, 4, 3, 3, 1, 1, 0, 3, 3, 2, 2, 0, 4, 3, 4, 0, 3, 4, 4, 0, 0, 3, 1, 3, 3, 2, 2, 0, 4, 3, 0, 3, 2, 2, 2, 1, 2, 3, 1, 2, 4, 1, 1, 4, 0, 4, 4, 2, 3, 3, 3, 4, 3, 0, 3, 2, 0, 0, 4, 0, 4, 2, 2, 4, 1, 4, 3, 0, 3, 4, 4, 1, 3, 4, 3, 3, 1, 3, 3, 2, 1, 1, 3, 4, 2, 1, 3, 1, 1, 3, 4, 0, 2, 2, 1, 2, 2, 4, 2, 4, 3, 1, 2, 3, 2, 4, 2, 4, 1, 2, 0, 4, 1, 0, 2, 0, 4, 4, 2, 4, 3, 3, 3, 4, 3, 3, 2, 0, 0, 0, 3, 1, 0, 4, 0, 0, 1, 0, 4, 4, 0, 3, 1, 4, 2, 0, 4, 0, 2, 2, 3, 3, 4, 3, 2, 2, 0, 4, 3, 3, 3, 2, 0, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 0, 2, 3, 2, 0, 0, 4, 2, 0, 2, 1, 2, 0, 1, 4, 0, 4, 1, 0] pubkeycol1204 = [3, 1, 4, 1, 3, 2, 2, 3, 1, 1, 1, 0, 3, 3, 0, 2, 2, 4, 2, 2, 4, 0, 0, 0, 0, 3, 2, 4, 2, 3, 3, 3, 4, 2, 4, 1, 3, 4, 4, 4, 1, 2, 4, 3, 3, 4, 0, 0, 0, 1, 3, 0, 2, 3, 2, 3, 1, 3, 2, 4, 1, 1, 3, 4, 0, 1, 0, 2, 3, 2, 0, 4, 1, 2, 1, 2, 3, 2, 1, 1, 0, 4, 3, 2, 1, 2, 0, 3, 1, 2, 4, 1, 4, 0, 1, 1, 0, 4, 2, 1, 0, 1, 4, 2, 0, 3, 4, 2, 0, 4, 1, 0, 1, 0, 0, 4, 0, 4, 3, 4, 3, 3, 4, 0, 4, 4, 0, 3, 3, 3, 4, 3, 1, 3, 1, 4, 1, 4, 0, 4, 2, 3, 4, 0, 1, 2, 1, 1, 3, 1, 2, 4, 0, 3, 0, 3, 4, 2, 0, 4, 1, 0, 2, 2, 1, 0, 4, 2, 4, 2, 1, 1, 1, 4, 2, 4, 3, 4, 0, 2, 4, 2, 0, 2, 2, 4, 1, 0, 2, 1, 3, 2, 0, 1, 2, 1, 2, 0, 4, 0, 2, 2, 0, 4, 0, 2, 2, 0, 3, 3, 4, 0, 0, 0, 0, 4, 3, 1, 3, 0, 4, 3, 4, 2, 3, 4, 0, 0, 0, 2, 0, 4, 1, 1, 0, 1, 0, 3, 0, 2, 4, 1, 3, 1, 0, 0, 2, 4, 0, 0, 1, 2, 2, 0, 1, 4, 1, 3, 4, 3, 3, 3, 2, 3, 2, 1, 0, 2, 4, 0, 2, 4, 2, 4, 2, 2, 1, 1, 2, 0, 3, 0, 1, 3, 0, 4, 0, 1, 2, 3, 2, 1, 4, 2, 2, 2, 1, 2, 3, 1, 0, 0, 3, 4, 4, 3, 3, 2, 2, 4, 0, 1, 3, 4, 1, 1, 0, 2, 0, 2] pubkeycol1205 = [1, 0, 4, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 1, 2, 2, 0, 2, 4, 1, 4, 2, 0, 1, 0, 4, 0, 2, 3, 3, 3, 4, 1, 0, 0, 0, 0, 1, 0, 3, 3, 1, 3, 4, 4, 1, 2, 0, 2, 2, 0, 0, 3, 2, 0, 0, 2, 4, 2, 3, 3, 4, 1, 2, 4, 3, 3, 3, 3, 4, 3, 4, 0, 1, 0, 0, 1, 4, 2, 0, 2, 3, 0, 4, 4, 3, 0, 0, 3, 4, 2, 3, 4, 2, 4, 3, 1, 0, 2, 0, 1, 3, 1, 4, 4, 1, 3, 0, 4, 1, 1, 1, 2, 1, 2, 1, 4, 1, 3, 2, 0, 3, 4, 2, 2, 0, 4, 0, 1, 1, 2, 4, 2, 3, 4, 2, 1, 3, 4, 0, 2, 1, 2, 4, 1, 1, 2, 3, 2, 3, 4, 4, 1, 3, 0, 1, 1, 4, 4, 0, 4, 2, 1, 4, 2, 3, 1, 4, 2, 4, 2, 4, 2, 3, 3, 3, 3, 3, 2, 3, 4, 1, 0, 2, 3, 4, 1, 1, 1, 0, 2, 0, 3, 3, 3, 3, 4, 1, 0, 4, 4, 3, 3, 3, 4, 1, 2, 0, 2, 4, 2, 3, 1, 2, 0, 4, 1, 3, 3, 3, 0, 2, 0, 2, 4, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 4, 2, 1, 3, 3, 2, 2, 0, 0, 3, 1, 2, 0, 3, 0, 1, 2, 2, 4, 2, 1, 1, 2, 0, 4, 0, 0, 4, 0, 2, 0, 2, 2, 4, 1, 4, 3, 1, 2, 0, 3, 1, 2, 4, 2, 4, 2, 2, 3, 1, 0, 3, 3, 3, 2, 3, 0, 2, 3, 1, 3, 2, 0, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 4, 1, 1, 3, 0, 4, 3, 2, 3, 1, 1, 3] pubkeycol1206 = [3, 0, 1, 4, 0, 1, 3, 4, 4, 4, 1, 4, 2, 4, 2, 4, 2, 0, 1, 1, 2, 3, 3, 0, 0, 0, 1, 4, 1, 3, 4, 4, 0, 3, 2, 2, 2, 4, 4, 2, 2, 1, 3, 2, 2, 1, 4, 2, 3, 1, 1, 2, 0, 3, 1, 2, 0, 2, 0, 4, 0, 1, 3, 4, 2, 0, 1, 1, 3, 2, 4, 4, 3, 1, 2, 1, 3, 2, 4, 0, 4, 3, 2, 0, 4, 1, 4, 0, 1, 2, 3, 2, 2, 3, 2, 0, 3, 2, 3, 4, 4, 3, 4, 3, 3, 1, 0, 2, 4, 3, 1, 4, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 4, 0, 2, 2, 3, 1, 2, 1, 4, 1, 1, 3, 2, 1, 0, 2, 2, 3, 0, 3, 3, 4, 0, 0, 0, 3, 0, 2, 3, 2, 1, 3, 2, 1, 0, 2, 4, 3, 2, 1, 0, 1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 0, 4, 2, 2, 3, 0, 3, 2, 0, 3, 2, 0, 4, 4, 3, 1, 4, 4, 1, 0, 1, 0, 1, 3, 3, 2, 2, 3, 4, 2, 3, 2, 0, 0, 1, 0, 2, 4, 2, 0, 1, 0, 1, 2, 2, 1, 3, 0, 2, 1, 4, 0, 0, 2, 1, 3, 3, 4, 0, 0, 0, 4, 0, 2, 0, 0, 2, 2, 4, 0, 4, 4, 0, 2, 1, 3, 3, 4, 3, 1, 4, 3, 0, 0, 3, 1, 1, 0, 1, 1, 0, 3, 1, 3, 4, 3, 1, 1, 4, 0, 3, 4, 3, 0, 3, 3, 3, 2, 0, 0, 1, 4, 0, 1, 2, 2, 1, 3, 4, 0, 4, 2, 3, 4, 1, 3, 0, 3, 1, 1, 4, 0, 3, 3, 1, 3, 1, 0] pubkeycol1207 = [1, 2, 0, 2, 0, 4, 0, 3, 0, 0, 3, 4, 3, 0, 1, 2, 4, 3, 4, 1, 1, 1, 2, 3, 4, 4, 4, 2, 0, 2, 2, 4, 2, 0, 2, 2, 2, 0, 0, 0, 3, 1, 4, 4, 3, 4, 3, 2, 0, 4, 1, 1, 2, 0, 4, 0, 0, 4, 4, 1, 4, 1, 3, 4, 3, 2, 4, 4, 2, 0, 3, 0, 4, 2, 4, 0, 0, 4, 3, 1, 0, 2, 2, 0, 0, 3, 0, 3, 4, 0, 4, 4, 2, 3, 1, 0, 1, 0, 4, 4, 3, 2, 1, 3, 0, 0, 0, 1, 0, 0, 0, 3, 4, 4, 4, 1, 3, 2, 1, 3, 0, 3, 2, 2, 3, 3, 1, 2, 4, 0, 3, 0, 0, 3, 2, 2, 1, 1, 0, 1, 1, 3, 1, 3, 2, 1, 4, 4, 2, 3, 4, 4, 3, 0, 2, 4, 3, 3, 4, 1, 1, 2, 4, 4, 3, 4, 1, 4, 1, 4, 4, 1, 3, 0, 2, 0, 4, 3, 1, 3, 4, 3, 3, 4, 0, 3, 3, 4, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 3, 4, 1, 4, 4, 4, 2, 3, 4, 0, 2, 0, 1, 1, 4, 2, 1, 4, 1, 2, 2, 4, 2, 0, 2, 3, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 3, 4, 4, 1, 2, 1, 4, 4, 4, 4, 1, 4, 3, 2, 1, 2, 3, 3, 0, 4, 1, 3, 1, 1, 1, 4, 3, 2, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 3, 2, 4, 0, 2, 1, 1, 3, 1, 2, 0, 1, 4, 2, 2, 2, 0, 0, 4, 0, 4, 1, 2, 0, 1, 4, 2, 1, 0, 3, 3, 0, 1, 0, 0, 1, 2, 1, 4, 0, 2, 3, 2] pubkeycol1208 = [3, 0, 0, 0, 1, 3, 4, 1, 2, 0, 0, 0, 3, 4, 1, 1, 2, 0, 4, 0, 1, 2, 2, 0, 2, 3, 3, 2, 3, 4, 3, 0, 2, 3, 3, 0, 2, 2, 0, 3, 1, 1, 3, 3, 0, 1, 0, 2, 2, 0, 2, 1, 1, 3, 0, 4, 2, 3, 0, 3, 1, 1, 3, 0, 4, 4, 4, 3, 3, 4, 0, 1, 4, 1, 2, 4, 0, 0, 3, 4, 0, 3, 1, 2, 0, 2, 1, 4, 0, 3, 1, 4, 1, 0, 3, 0, 4, 4, 1, 0, 3, 2, 0, 2, 0, 1, 0, 4, 4, 3, 4, 4, 2, 2, 2, 2, 3, 2, 2, 2, 0, 3, 0, 3, 3, 3, 1, 3, 3, 3, 4, 2, 4, 4, 0, 1, 1, 4, 2, 2, 2, 2, 2, 3, 2, 1, 3, 1, 0, 3, 0, 1, 3, 2, 0, 1, 0, 4, 2, 0, 3, 3, 4, 3, 2, 4, 2, 2, 1, 3, 1, 4, 2, 0, 4, 4, 2, 4, 3, 0, 1, 2, 2, 2, 4, 4, 2, 3, 4, 2, 0, 4, 3, 3, 1, 3, 2, 1, 3, 1, 2, 4, 2, 4, 3, 3, 4, 0, 4, 2, 0, 3, 2, 3, 4, 2, 1, 0, 4, 3, 2, 1, 3, 3, 3, 1, 3, 4, 0, 1, 4, 0, 1, 0, 0, 2, 2, 4, 3, 3, 1, 0, 1, 0, 3, 1, 2, 3, 4, 3, 4, 3, 3, 3, 1, 0, 1, 0, 2, 4, 2, 4, 4, 4, 0, 4, 2, 0, 1, 4, 3, 0, 1, 3, 4, 1, 0, 0, 1, 0, 2, 3, 1, 4, 1, 2, 1, 4, 3, 1, 4, 0, 4, 4, 4, 0, 1, 3, 4, 2, 2, 1, 2, 4, 4, 2, 3, 0, 3, 3, 4, 1, 0, 1, 3, 2, 4, 0, 4, 3] pubkeycol1209 = [3, 1, 3, 3, 2, 0, 0, 1, 2, 2, 1, 0, 3, 0, 4, 3, 1, 0, 2, 0, 4, 2, 1, 0, 0, 1, 0, 0, 4, 1, 3, 3, 3, 4, 1, 4, 3, 0, 0, 4, 1, 0, 3, 4, 4, 2, 4, 1, 2, 1, 1, 3, 0, 3, 4, 0, 2, 0, 3, 2, 4, 2, 4, 0, 4, 3, 4, 3, 1, 3, 1, 4, 1, 4, 2, 2, 3, 2, 1, 4, 2, 3, 0, 1, 2, 3, 3, 3, 2, 0, 4, 1, 4, 0, 2, 2, 3, 4, 1, 0, 4, 2, 3, 2, 2, 2, 4, 3, 0, 0, 4, 3, 0, 1, 1, 2, 2, 4, 4, 0, 3, 3, 2, 1, 1, 3, 2, 0, 2, 3, 0, 2, 1, 4, 4, 1, 4, 0, 3, 3, 0, 1, 4, 1, 3, 1, 4, 0, 2, 3, 4, 1, 0, 1, 2, 2, 1, 3, 1, 0, 1, 1, 4, 4, 2, 3, 1, 2, 2, 4, 4, 3, 4, 2, 2, 1, 0, 1, 4, 3, 4, 3, 0, 2, 0, 3, 3, 4, 2, 1, 1, 3, 3, 4, 3, 0, 4, 1, 0, 4, 4, 4, 3, 4, 4, 3, 3, 4, 4, 2, 3, 1, 4, 0, 4, 0, 1, 4, 0, 1, 0, 1, 1, 4, 0, 1, 4, 1, 3, 0, 2, 0, 0, 4, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 3, 0, 2, 1, 4, 4, 4, 3, 2, 1, 2, 0, 4, 1, 3, 0, 2, 2, 4, 1, 1, 0, 0, 0, 2, 1, 3, 2, 1, 3, 4, 4, 3, 0, 1, 2, 2, 3, 4, 3, 4, 4, 0, 0, 3, 0, 1, 1, 2, 4, 0, 4, 3, 1, 2, 3, 0, 3, 2, 2, 4, 4, 3, 1, 1, 2, 1, 0, 4, 1, 3, 1] pubkeycol1210 = [0, 1, 1, 2, 1, 0, 1, 1, 0, 4, 3, 0, 1, 4, 1, 3, 4, 0, 2, 2, 2, 3, 2, 4, 3, 2, 0, 0, 4, 4, 1, 0, 0, 4, 4, 0, 1, 2, 4, 0, 4, 3, 0, 4, 0, 4, 3, 3, 3, 1, 1, 0, 2, 0, 3, 3, 2, 0, 2, 4, 2, 3, 2, 1, 0, 3, 3, 4, 4, 3, 4, 1, 4, 3, 0, 4, 1, 2, 2, 3, 0, 1, 4, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 0, 3, 4, 3, 2, 1, 1, 3, 3, 1, 3, 1, 4, 2, 4, 1, 1, 3, 0, 4, 0, 4, 1, 3, 3, 3, 0, 1, 0, 2, 3, 2, 0, 3, 0, 0, 3, 0, 0, 3, 4, 4, 4, 3, 2, 4, 3, 0, 4, 2, 2, 4, 0, 0, 1, 0, 3, 2, 0, 0, 1, 2, 1, 3, 4, 1, 2, 3, 3, 4, 3, 2, 4, 2, 1, 1, 3, 1, 1, 2, 1, 4, 0, 1, 2, 1, 3, 1, 0, 2, 4, 1, 2, 4, 2, 0, 4, 1, 4, 3, 4, 0, 0, 3, 0, 4, 3, 0, 0, 1, 3, 0, 1, 0, 1, 1, 1, 3, 2, 0, 4, 1, 2, 4, 4, 0, 4, 1, 1, 3, 1, 3, 4, 1, 2, 2, 4, 3, 3, 3, 2, 0, 1, 0, 2, 3, 2, 0, 4, 1, 0, 1, 3, 0, 1, 3, 0, 3, 4, 4, 2, 1, 0, 4, 0, 0, 0, 3, 4, 3, 1, 3, 2, 1, 2, 0, 0, 3, 4, 4, 1, 3, 2, 4, 0, 2, 4, 1, 2, 2, 4, 4, 1, 2, 0, 4, 3, 0, 0, 2, 3, 2, 1, 0, 0, 3, 1, 2, 0, 1, 3, 3, 2, 2, 1, 4, 3, 0, 1, 0, 4, 4, 4, 1, 2, 1, 2] pubkeycol1211 = [1, 4, 2, 1, 2, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 4, 2, 3, 2, 2, 1, 4, 0, 1, 4, 0, 0, 2, 0, 3, 2, 2, 4, 1, 0, 0, 0, 2, 2, 4, 4, 0, 4, 2, 0, 2, 3, 1, 0, 0, 3, 2, 1, 3, 2, 2, 4, 4, 4, 3, 1, 2, 4, 2, 2, 4, 2, 0, 2, 3, 0, 1, 1, 2, 4, 0, 2, 4, 4, 4, 3, 3, 0, 0, 1, 2, 4, 4, 4, 4, 4, 3, 4, 2, 4, 4, 3, 4, 2, 0, 4, 3, 4, 0, 0, 1, 2, 1, 0, 1, 3, 2, 4, 2, 0, 1, 2, 3, 3, 1, 1, 2, 2, 0, 1, 3, 0, 1, 2, 4, 2, 0, 0, 2, 2, 4, 2, 1, 4, 4, 4, 0, 4, 1, 3, 0, 1, 1, 0, 2, 3, 1, 1, 3, 0, 1, 0, 0, 3, 4, 1, 4, 2, 2, 2, 1, 2, 4, 2, 3, 3, 3, 1, 2, 1, 2, 2, 0, 3, 2, 3, 0, 2, 0, 4, 3, 1, 4, 4, 0, 2, 3, 4, 0, 0, 2, 4, 3, 1, 1, 3, 0, 1, 3, 2, 3, 1, 3, 3, 4, 3, 3, 3, 0, 1, 4, 0, 3, 0, 2, 1, 3, 1, 3, 2, 0, 2, 3, 0, 2, 3, 3, 3, 3, 2, 2, 4, 2, 2, 3, 1, 2, 1, 4, 1, 2, 0, 1, 1, 1, 1, 1, 0, 4, 3, 1, 1, 2, 1, 2, 1, 2, 3, 4, 1, 0, 2, 0, 0, 4, 2, 4, 3, 4, 2, 1, 4, 2, 3, 4, 1, 3, 1, 4, 4, 4, 1, 1, 4, 1, 4, 1, 3, 0, 4, 0, 2, 0, 1, 3, 1, 4, 2, 1, 1, 3, 3, 1, 3, 0, 4, 1, 0, 1, 2, 1, 2, 4, 4] pubkeycol1212 = [0, 2, 3, 3, 2, 4, 2, 1, 0, 4, 0, 3, 1, 1, 0, 4, 2, 1, 4, 3, 3, 3, 4, 0, 3, 4, 3, 2, 4, 3, 1, 2, 0, 3, 4, 0, 4, 3, 0, 0, 2, 0, 1, 4, 2, 2, 0, 4, 0, 2, 0, 0, 3, 1, 4, 3, 4, 0, 2, 3, 0, 0, 2, 2, 1, 3, 3, 0, 3, 4, 4, 4, 3, 3, 2, 4, 2, 0, 3, 4, 0, 1, 1, 3, 0, 0, 2, 0, 4, 0, 4, 4, 1, 3, 2, 4, 1, 3, 3, 1, 2, 4, 4, 3, 2, 1, 4, 0, 3, 3, 2, 4, 0, 3, 0, 2, 0, 0, 4, 1, 3, 3, 1, 0, 4, 1, 1, 3, 1, 2, 2, 0, 1, 4, 4, 1, 4, 3, 3, 1, 2, 1, 3, 0, 1, 1, 4, 1, 1, 0, 1, 3, 3, 2, 0, 3, 3, 0, 3, 1, 4, 3, 2, 1, 4, 1, 4, 2, 3, 4, 3, 1, 3, 2, 3, 2, 1, 3, 2, 3, 2, 0, 2, 1, 1, 4, 1, 2, 1, 3, 2, 3, 4, 1, 2, 0, 4, 2, 4, 0, 1, 2, 1, 4, 0, 3, 0, 4, 3, 0, 3, 4, 3, 1, 1, 3, 0, 0, 3, 1, 2, 4, 3, 3, 2, 3, 4, 2, 0, 2, 1, 3, 1, 1, 4, 1, 0, 2, 4, 4, 0, 1, 0, 3, 1, 3, 0, 4, 0, 2, 1, 4, 4, 4, 4, 0, 0, 2, 2, 3, 0, 1, 1, 2, 1, 3, 2, 3, 0, 2, 1, 4, 3, 0, 2, 2, 0, 0, 4, 2, 3, 4, 3, 3, 3, 1, 3, 3, 3, 2, 2, 0, 4, 3, 2, 3, 2, 4, 1, 2, 2, 0, 3, 0, 3, 3, 3, 4, 2, 1, 4, 3, 4, 4, 4, 4, 1, 3, 1, 0] pubkeycol1213 = [2, 3, 2, 1, 4, 2, 0, 3, 2, 4, 2, 1, 2, 1, 4, 3, 4, 4, 3, 4, 2, 2, 2, 1, 4, 0, 1, 3, 4, 0, 1, 0, 0, 4, 1, 4, 1, 4, 4, 1, 2, 3, 1, 2, 0, 1, 2, 4, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 2, 0, 4, 2, 1, 0, 4, 1, 0, 0, 3, 3, 1, 4, 2, 2, 3, 4, 3, 3, 4, 2, 4, 3, 0, 0, 3, 1, 4, 4, 1, 4, 0, 2, 0, 4, 2, 3, 1, 3, 1, 1, 2, 2, 1, 0, 2, 0, 3, 1, 4, 0, 0, 0, 4, 1, 0, 4, 3, 0, 3, 1, 0, 2, 1, 1, 0, 0, 3, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 3, 1, 2, 1, 0, 4, 3, 0, 3, 0, 0, 1, 2, 1, 1, 3, 2, 4, 2, 0, 2, 1, 3, 4, 1, 1, 3, 4, 4, 0, 0, 4, 3, 0, 0, 0, 4, 0, 2, 4, 3, 1, 3, 4, 4, 3, 4, 2, 0, 0, 2, 1, 3, 3, 4, 1, 1, 4, 1, 0, 1, 3, 2, 0, 1, 0, 4, 3, 3, 1, 0, 3, 1, 1, 2, 1, 3, 0, 1, 2, 2, 1, 4, 1, 4, 2, 3, 2, 3, 2, 0, 2, 1, 4, 1, 0, 4, 1, 0, 4, 0, 3, 1, 1, 1, 0, 4, 0, 2, 1, 3, 3, 3, 4, 0, 3, 4, 2, 2, 0, 0, 3, 2, 1, 1, 3, 4, 4, 3, 3, 1, 3, 0, 3, 4, 4, 3, 0, 1, 4, 3, 1, 2, 1, 2, 3, 1, 3, 0, 1, 1, 3, 3, 3, 2, 0, 1, 3, 0, 4, 1, 3, 3, 4, 3, 2, 3, 4, 3, 3, 0, 1, 1, 0, 1, 1, 4, 3, 0, 1] pubkeycol1214 = [2, 1, 0, 2, 3, 3, 4, 2, 4, 1, 1, 3, 2, 3, 0, 3, 0, 1, 1, 1, 4, 0, 0, 4, 1, 3, 0, 4, 1, 4, 0, 4, 0, 0, 2, 3, 0, 2, 2, 0, 4, 1, 0, 3, 2, 2, 0, 2, 0, 4, 0, 1, 4, 3, 1, 0, 1, 0, 3, 1, 3, 2, 4, 4, 4, 3, 3, 1, 2, 1, 2, 3, 4, 1, 0, 4, 2, 4, 0, 3, 1, 1, 4, 0, 4, 4, 2, 4, 3, 0, 0, 2, 2, 0, 0, 3, 2, 4, 3, 2, 4, 0, 4, 3, 0, 1, 1, 4, 1, 1, 4, 3, 4, 0, 4, 4, 3, 3, 3, 4, 3, 0, 4, 1, 2, 4, 2, 3, 4, 2, 1, 4, 3, 4, 3, 1, 3, 0, 2, 1, 2, 3, 4, 4, 3, 1, 3, 0, 1, 2, 4, 4, 1, 2, 2, 0, 0, 3, 0, 0, 3, 2, 1, 4, 4, 2, 3, 4, 1, 2, 1, 0, 0, 0, 3, 2, 3, 1, 2, 2, 3, 4, 2, 3, 1, 2, 1, 4, 4, 2, 2, 1, 0, 4, 1, 4, 3, 0, 1, 3, 2, 2, 2, 1, 0, 4, 4, 1, 2, 2, 3, 2, 0, 3, 1, 2, 1, 3, 1, 0, 0, 3, 1, 3, 0, 3, 3, 4, 1, 3, 2, 1, 4, 1, 4, 4, 4, 1, 4, 0, 0, 2, 1, 1, 1, 2, 0, 1, 3, 0, 3, 0, 1, 2, 2, 2, 3, 1, 4, 4, 3, 0, 3, 1, 1, 2, 3, 4, 4, 2, 1, 3, 1, 1, 1, 0, 3, 2, 2, 4, 2, 3, 1, 4, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 3, 1, 0, 3, 4, 3, 4, 2, 1, 4, 2, 1, 0, 3, 4, 1, 2, 3, 3, 2, 4, 1, 3] pubkeycol1215 = [2, 2, 3, 0, 1, 0, 2, 3, 2, 1, 4, 3, 1, 3, 4, 4, 3, 1, 1, 1, 0, 2, 2, 4, 0, 2, 4, 4, 3, 3, 1, 2, 2, 0, 4, 0, 2, 3, 0, 3, 1, 3, 1, 0, 1, 2, 4, 0, 4, 4, 1, 1, 0, 4, 2, 0, 2, 0, 2, 0, 1, 1, 4, 3, 3, 0, 1, 1, 1, 0, 3, 2, 4, 3, 0, 2, 3, 1, 4, 3, 3, 0, 3, 1, 3, 4, 3, 1, 0, 0, 3, 4, 2, 2, 3, 4, 4, 3, 3, 1, 2, 2, 0, 3, 0, 0, 2, 4, 4, 4, 4, 2, 1, 1, 1, 3, 3, 1, 4, 1, 3, 3, 0, 3, 3, 0, 0, 1, 1, 2, 3, 3, 3, 0, 0, 4, 2, 1, 4, 3, 3, 3, 0, 1, 3, 1, 1, 0, 2, 3, 0, 0, 0, 0, 0, 1, 0, 1, 1, 3, 2, 4, 2, 3, 3, 0, 4, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 2, 4, 4, 4, 1, 3, 0, 1, 1, 1, 2, 4, 1, 1, 0, 2, 0, 4, 4, 3, 2, 1, 0, 1, 1, 3, 1, 0, 4, 4, 0, 1, 0, 0, 0, 1, 0, 2, 3, 2, 1, 0, 0, 3, 0, 3, 3, 3, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 3, 1, 2, 4, 4, 3, 2, 1, 0, 3, 3, 3, 1, 2, 3, 2, 0, 0, 0, 1, 4, 3, 2, 4, 4, 1, 3, 3, 3, 1, 4, 0, 4, 2, 0, 2, 0, 1, 3, 2, 3, 4, 4, 2, 3, 0, 1, 3, 3, 3, 0, 1, 4, 3, 2, 2, 4, 3, 2, 3, 0, 4, 1, 0, 0, 1, 2, 3, 4, 3, 0, 1, 3, 4, 2, 1, 1, 0] pubkeycol1216 = [0, 0, 1, 4, 0, 3, 4, 1, 3, 3, 2, 4, 3, 0, 1, 3, 3, 4, 0, 0, 3, 2, 2, 0, 2, 1, 4, 1, 1, 4, 0, 4, 4, 4, 4, 3, 2, 3, 4, 4, 0, 2, 3, 0, 1, 4, 0, 0, 0, 1, 3, 1, 3, 1, 0, 3, 1, 4, 2, 4, 3, 1, 0, 1, 4, 1, 0, 0, 3, 3, 0, 2, 1, 4, 3, 0, 1, 3, 4, 0, 2, 1, 0, 2, 3, 3, 1, 3, 0, 2, 1, 1, 3, 3, 0, 3, 0, 3, 2, 2, 0, 3, 3, 1, 1, 1, 0, 2, 0, 3, 2, 1, 1, 0, 2, 0, 1, 3, 1, 1, 2, 3, 3, 4, 0, 0, 2, 2, 0, 2, 2, 3, 1, 3, 1, 0, 0, 3, 0, 0, 3, 0, 3, 4, 1, 4, 1, 2, 2, 2, 4, 0, 1, 4, 2, 3, 4, 2, 0, 3, 0, 4, 0, 0, 3, 2, 3, 0, 1, 4, 4, 3, 3, 4, 2, 3, 4, 4, 0, 2, 4, 0, 4, 1, 3, 0, 0, 0, 4, 1, 2, 0, 4, 4, 1, 4, 4, 2, 1, 4, 3, 3, 3, 3, 1, 1, 3, 2, 3, 3, 4, 2, 2, 3, 3, 2, 1, 4, 1, 1, 3, 4, 2, 1, 3, 1, 3, 1, 0, 3, 3, 1, 1, 4, 2, 3, 2, 0, 2, 0, 3, 0, 1, 4, 4, 0, 1, 3, 2, 4, 3, 1, 4, 1, 2, 4, 2, 4, 0, 2, 3, 0, 4, 2, 2, 3, 1, 0, 1, 3, 4, 3, 1, 1, 1, 0, 2, 4, 4, 3, 2, 4, 2, 4, 4, 0, 3, 1, 1, 3, 1, 4, 4, 4, 0, 3, 1, 3, 4, 0, 0, 3, 3, 1, 4, 3, 0, 3, 1, 0, 1, 1, 2, 2, 2, 4, 2, 1, 3, 0] pubkeycol1217 = [4, 1, 4, 3, 2, 0, 2, 3, 4, 3, 4, 2, 4, 0, 3, 2, 2, 3, 4, 1, 4, 1, 2, 1, 2, 0, 1, 2, 4, 2, 1, 4, 0, 4, 1, 2, 0, 2, 4, 2, 4, 2, 2, 3, 3, 4, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 3, 1, 2, 4, 0, 4, 4, 1, 3, 2, 1, 3, 4, 4, 0, 2, 4, 2, 0, 2, 0, 3, 1, 3, 1, 3, 2, 3, 4, 4, 2, 2, 0, 2, 3, 0, 1, 2, 3, 0, 4, 3, 2, 1, 4, 3, 1, 3, 2, 1, 4, 3, 0, 4, 1, 2, 1, 0, 0, 0, 2, 4, 1, 2, 4, 4, 4, 4, 3, 2, 2, 3, 0, 3, 2, 3, 3, 2, 2, 4, 3, 2, 3, 2, 1, 1, 0, 4, 0, 1, 1, 1, 1, 2, 2, 1, 4, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 3, 3, 0, 3, 0, 2, 0, 4, 0, 3, 2, 1, 1, 4, 4, 1, 4, 0, 4, 1, 0, 1, 2, 2, 3, 4, 4, 2, 1, 4, 2, 2, 3, 0, 2, 3, 1, 1, 3, 4, 0, 3, 0, 3, 3, 0, 3, 0, 2, 3, 0, 2, 2, 3, 2, 4, 2, 0, 0, 3, 1, 1, 0, 4, 1, 4, 3, 0, 2, 4, 4, 0, 3, 2, 0, 2, 2, 2, 0, 3, 2, 4, 4, 4, 4, 3, 2, 2, 0, 3, 2, 4, 3, 0, 0, 4, 3, 1, 0, 3, 2, 0, 0, 4, 1, 4, 1, 0, 3, 3, 0, 1, 3, 4, 3, 2, 0, 4, 1, 4, 0, 2, 4, 3, 1, 4, 3, 4, 3, 0, 0, 3, 4, 2, 2, 0, 1, 2, 3, 3, 2, 4, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 4, 2, 0] pubkeycol1218 = [0, 4, 3, 1, 4, 4, 1, 0, 4, 2, 1, 4, 0, 4, 4, 2, 4, 2, 4, 3, 0, 2, 0, 1, 3, 0, 0, 4, 2, 3, 2, 1, 3, 1, 0, 2, 0, 3, 2, 3, 3, 2, 0, 3, 3, 1, 1, 0, 0, 3, 4, 0, 3, 4, 2, 2, 0, 0, 4, 4, 1, 3, 4, 0, 2, 4, 1, 0, 3, 3, 1, 1, 2, 3, 0, 1, 4, 0, 0, 2, 1, 1, 4, 3, 3, 2, 1, 0, 3, 2, 2, 2, 0, 3, 0, 0, 3, 0, 4, 1, 0, 3, 1, 4, 0, 1, 1, 3, 1, 4, 3, 4, 2, 0, 1, 3, 4, 3, 1, 3, 4, 4, 1, 4, 1, 0, 4, 4, 0, 2, 2, 1, 4, 3, 0, 2, 4, 3, 3, 1, 0, 0, 2, 3, 3, 0, 0, 4, 4, 0, 0, 4, 1, 3, 4, 4, 0, 0, 2, 1, 2, 0, 4, 0, 1, 0, 0, 1, 1, 3, 4, 4, 4, 4, 2, 3, 2, 1, 0, 1, 4, 0, 3, 0, 1, 4, 2, 4, 4, 0, 2, 0, 3, 4, 0, 0, 3, 0, 2, 4, 2, 4, 1, 3, 1, 2, 0, 1, 2, 0, 3, 4, 4, 2, 1, 3, 3, 4, 4, 2, 1, 2, 3, 2, 2, 3, 3, 4, 3, 1, 1, 3, 3, 1, 2, 3, 4, 1, 1, 1, 4, 1, 3, 4, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 4, 0, 4, 0, 4, 0, 1, 2, 0, 1, 3, 4, 2, 2, 0, 4, 4, 4, 1, 4, 4, 0, 0, 0, 4, 4, 1, 4, 4, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 3, 2, 2, 1, 3, 0, 0, 2, 1, 1, 1, 2, 0, 3, 4, 4, 4, 1, 2, 3, 0, 0, 4, 0, 0, 3, 3] pubkeycol1219 = [3, 1, 4, 3, 2, 3, 3, 1, 4, 3, 0, 1, 1, 2, 1, 0, 4, 4, 4, 2, 1, 0, 4, 1, 1, 1, 3, 4, 1, 0, 4, 3, 1, 1, 0, 0, 3, 4, 1, 0, 0, 1, 2, 1, 0, 4, 1, 1, 3, 2, 4, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 4, 0, 1, 2, 1, 0, 0, 1, 0, 1, 4, 2, 1, 4, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 4, 1, 4, 2, 1, 3, 3, 0, 4, 4, 0, 1, 4, 0, 4, 2, 4, 3, 2, 3, 3, 2, 4, 1, 2, 0, 3, 0, 1, 1, 2, 1, 4, 4, 2, 2, 2, 4, 0, 3, 1, 3, 0, 1, 1, 0, 2, 4, 3, 3, 4, 4, 2, 3, 4, 0, 1, 4, 4, 4, 3, 0, 0, 4, 2, 1, 3, 2, 1, 2, 1, 1, 3, 0, 3, 4, 1, 0, 0, 2, 3, 3, 3, 1, 4, 3, 3, 4, 3, 2, 4, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 3, 1, 3, 4, 2, 1, 4, 0, 4, 3, 3, 4, 0, 0, 3, 2, 3, 3, 3, 4, 3, 0, 3, 4, 1, 4, 0, 3, 0, 4, 2, 0, 1, 2, 0, 4, 2, 1, 4, 0, 3, 0, 2, 3, 1, 1, 0, 4, 3, 0, 4, 1, 0, 3, 4, 0, 4, 4, 0, 0, 3, 4, 0, 0, 4, 4, 2, 3, 3, 3, 3, 4, 0, 2, 1, 0, 1, 3, 3, 1, 0, 4, 2, 3, 2, 4, 4, 4, 2, 4, 4, 2, 3, 0, 1, 4, 1, 1, 0, 0, 4, 0, 2, 2, 4, 0, 1, 3, 3, 4, 2, 2, 1, 1, 4, 2, 4, 2, 1, 4, 0, 1, 3, 3, 1, 2] pubkeycol1220 = [0, 4, 1, 1, 0, 0, 4, 4, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 3, 4, 0, 1, 1, 3, 3, 4, 2, 4, 0, 3, 4, 0, 2, 3, 3, 4, 2, 2, 4, 0, 4, 4, 4, 4, 3, 2, 0, 3, 0, 1, 0, 0, 4, 1, 1, 1, 3, 2, 0, 0, 0, 2, 4, 1, 4, 1, 2, 3, 1, 2, 1, 3, 4, 4, 0, 4, 0, 0, 0, 4, 2, 2, 4, 1, 1, 2, 4, 4, 3, 3, 4, 4, 4, 0, 1, 2, 0, 2, 4, 4, 3, 3, 0, 2, 0, 0, 0, 4, 4, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 3, 0, 4, 1, 1, 3, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 4, 4, 1, 2, 2, 2, 1, 4, 1, 3, 4, 2, 2, 0, 1, 4, 3, 1, 1, 4, 2, 2, 4, 0, 0, 3, 0, 1, 1, 0, 4, 1, 3, 3, 4, 1, 3, 4, 0, 1, 2, 4, 2, 3, 4, 3, 2, 2, 0, 3, 3, 1, 0, 3, 0, 2, 0, 3, 4, 1, 2, 1, 0, 1, 3, 3, 1, 2, 3, 1, 4, 0, 0, 3, 3, 1, 2, 4, 3, 0, 4, 0, 1, 4, 4, 2, 2, 2, 4, 3, 3, 3, 1, 2, 1, 3, 0, 1, 1, 1, 0, 2, 2, 3, 1, 4, 0, 0, 1, 0, 0, 1, 2, 0, 4, 1, 4, 4, 0, 1, 3, 0, 3, 4, 4, 3, 3, 1, 1, 0, 1, 0, 3, 3, 3, 1, 3, 2, 1, 2, 3, 4, 3, 0, 3, 0, 2, 1, 3, 3, 4, 2, 2, 1, 0, 2, 4, 0, 0, 3, 3, 3, 1, 4, 3, 3, 2, 0, 3, 3, 3, 3, 1, 1, 1, 0, 0, 3, 3, 2, 3, 3, 3] pubkeycol1221 = [2, 1, 1, 3, 1, 2, 2, 1, 3, 4, 3, 2, 1, 2, 4, 0, 2, 4, 1, 3, 0, 4, 3, 3, 3, 3, 1, 2, 3, 1, 2, 0, 3, 3, 3, 2, 3, 4, 1, 0, 3, 1, 1, 2, 1, 1, 3, 1, 0, 1, 0, 4, 1, 4, 0, 2, 1, 4, 1, 3, 2, 3, 3, 0, 4, 4, 2, 1, 3, 3, 2, 0, 0, 1, 1, 1, 1, 3, 2, 3, 4, 0, 3, 4, 3, 1, 2, 2, 3, 0, 4, 1, 3, 3, 0, 0, 0, 0, 0, 4, 4, 3, 1, 2, 4, 1, 1, 0, 4, 4, 0, 0, 1, 2, 2, 3, 3, 1, 0, 2, 2, 2, 0, 4, 3, 3, 2, 1, 2, 3, 4, 0, 3, 2, 3, 1, 1, 1, 4, 2, 0, 1, 4, 4, 1, 3, 3, 1, 1, 0, 3, 2, 1, 3, 1, 4, 1, 4, 3, 4, 3, 1, 3, 2, 3, 1, 0, 3, 1, 1, 1, 1, 2, 0, 2, 3, 1, 3, 4, 2, 3, 1, 3, 1, 0, 2, 4, 2, 0, 4, 4, 4, 3, 2, 2, 3, 3, 4, 2, 2, 0, 0, 2, 4, 0, 3, 0, 4, 2, 1, 2, 4, 0, 4, 2, 1, 2, 0, 2, 1, 4, 2, 1, 1, 1, 3, 3, 0, 1, 0, 4, 4, 1, 0, 3, 4, 0, 0, 2, 4, 0, 1, 1, 2, 3, 1, 2, 3, 1, 4, 4, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 3, 0, 0, 1, 0, 4, 1, 3, 2, 3, 4, 4, 1, 0, 1, 1, 4, 4, 4, 3, 2, 2, 2, 1, 4, 3, 2, 2, 0, 3, 1, 0, 3, 1, 0, 3, 4, 0, 4, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 3, 4, 1, 3, 4, 0, 2, 1] pubkeycol1222 = [3, 2, 3, 1, 0, 4, 0, 2, 2, 2, 2, 1, 1, 4, 2, 1, 4, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 3, 2, 2, 0, 3, 1, 4, 0, 0, 3, 2, 0, 3, 1, 3, 2, 2, 1, 3, 2, 4, 0, 1, 3, 1, 2, 3, 0, 3, 1, 3, 1, 0, 2, 0, 0, 2, 1, 4, 3, 1, 3, 3, 2, 1, 2, 3, 4, 4, 4, 3, 1, 3, 2, 3, 2, 0, 2, 2, 3, 1, 3, 2, 0, 1, 3, 1, 1, 2, 4, 4, 0, 1, 3, 0, 2, 3, 1, 3, 2, 1, 2, 1, 1, 3, 4, 4, 2, 3, 4, 1, 4, 0, 1, 3, 3, 0, 3, 0, 4, 2, 0, 0, 1, 3, 0, 3, 0, 2, 2, 3, 1, 4, 3, 4, 2, 0, 3, 0, 4, 2, 3, 3, 3, 2, 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 2, 1, 1, 3, 0, 4, 1, 4, 1, 1, 4, 0, 4, 2, 0, 1, 1, 1, 1, 1, 4, 4, 3, 4, 2, 2, 4, 1, 1, 1, 1, 2, 4, 1, 3, 2, 2, 1, 0, 3, 1, 3, 4, 2, 2, 2, 3, 0, 0, 3, 0, 3, 2, 3, 3, 3, 0, 3, 0, 1, 0, 3, 0, 0, 1, 3, 2, 2, 0, 3, 4, 2, 3, 0, 3, 2, 2, 0, 1, 1, 2, 1, 4, 4, 1, 1, 0, 1, 0, 4, 0, 4, 2, 2, 4, 1, 0, 3, 3, 0, 4, 4, 2, 1, 0, 3, 2, 3, 4, 0, 1, 3, 0, 1, 1, 3, 0, 0, 4, 4, 3, 3, 4, 4, 1, 1, 3, 3, 4, 4, 2, 1, 1, 0, 0, 2, 3, 1, 4, 4, 0, 4, 4, 0, 0, 0, 2, 4, 0, 0, 1, 4, 3, 2, 0, 3, 2] pubkeycol1223 = [3, 2, 4, 2, 2, 0, 4, 3, 2, 2, 1, 2, 4, 3, 4, 0, 2, 2, 0, 1, 2, 4, 1, 0, 4, 1, 4, 4, 2, 4, 1, 4, 1, 4, 0, 2, 0, 2, 1, 4, 1, 0, 0, 1, 4, 1, 4, 3, 4, 1, 4, 4, 0, 2, 3, 1, 3, 2, 0, 4, 0, 3, 1, 3, 3, 2, 4, 4, 1, 2, 4, 4, 0, 0, 0, 3, 2, 2, 3, 2, 2, 2, 0, 0, 3, 1, 4, 1, 2, 1, 2, 4, 2, 4, 4, 3, 1, 0, 2, 0, 2, 3, 3, 0, 0, 2, 2, 2, 4, 0, 4, 4, 1, 2, 4, 3, 3, 4, 4, 0, 3, 2, 4, 0, 0, 1, 4, 1, 3, 3, 2, 4, 1, 3, 0, 1, 4, 0, 3, 0, 3, 1, 2, 4, 0, 2, 4, 4, 3, 4, 3, 1, 0, 2, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 2, 3, 2, 4, 3, 0, 1, 2, 4, 1, 3, 4, 0, 1, 4, 0, 0, 4, 2, 0, 3, 2, 2, 1, 2, 2, 3, 1, 2, 0, 0, 2, 4, 2, 0, 3, 1, 4, 1, 4, 2, 1, 1, 3, 2, 1, 4, 2, 3, 2, 2, 1, 0, 2, 4, 4, 0, 0, 3, 3, 2, 3, 4, 3, 3, 3, 1, 2, 3, 3, 4, 4, 3, 3, 0, 2, 1, 3, 3, 3, 0, 3, 3, 3, 2, 4, 3, 0, 3, 4, 3, 1, 0, 2, 1, 0, 4, 4, 4, 0, 3, 2, 3, 4, 1, 4, 1, 3, 1, 3, 3, 0, 2, 4, 4, 3, 2, 2, 2, 4, 1, 4, 3, 2, 2, 0, 1, 0, 3, 1, 4, 3, 2, 0, 1, 0, 3, 0, 2, 0, 2, 0, 3, 3, 0, 0, 1, 2, 2, 0, 1, 4, 3, 0, 3, 0] pubkeycol1224 = [3, 0, 2, 2, 0, 3, 4, 0, 1, 1, 2, 0, 3, 4, 1, 1, 3, 4, 0, 4, 4, 3, 0, 2, 2, 4, 1, 4, 4, 1, 0, 0, 0, 4, 0, 4, 2, 1, 1, 4, 4, 3, 1, 3, 1, 0, 2, 1, 1, 0, 3, 1, 3, 1, 1, 2, 0, 3, 4, 3, 4, 3, 2, 3, 2, 0, 0, 1, 3, 3, 4, 1, 1, 3, 2, 1, 4, 4, 2, 2, 4, 3, 3, 2, 4, 0, 1, 2, 3, 1, 0, 4, 3, 2, 4, 0, 2, 3, 1, 4, 3, 3, 1, 3, 0, 2, 0, 3, 0, 2, 4, 1, 2, 2, 2, 1, 4, 4, 2, 0, 2, 2, 1, 2, 0, 1, 3, 4, 1, 0, 0, 3, 2, 1, 1, 0, 3, 3, 2, 3, 3, 4, 0, 1, 2, 0, 3, 4, 2, 3, 0, 3, 2, 0, 4, 1, 2, 2, 3, 4, 1, 2, 2, 4, 0, 2, 2, 4, 0, 2, 4, 1, 2, 1, 0, 2, 2, 4, 3, 4, 4, 3, 4, 0, 0, 2, 1, 0, 2, 3, 4, 3, 4, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 2, 1, 3, 2, 1, 3, 2, 0, 0, 2, 0, 0, 1, 2, 3, 0, 3, 4, 3, 1, 0, 1, 4, 0, 3, 0, 4, 2, 0, 4, 2, 0, 0, 3, 2, 3, 1, 4, 4, 2, 1, 3, 0, 0, 4, 4, 3, 4, 3, 3, 1, 0, 3, 0, 3, 4, 1, 4, 3, 2, 4, 0, 3, 2, 3, 0, 4, 1, 1, 1, 2, 4, 1, 3, 4, 3, 0, 1, 1, 2, 3, 4, 3, 4, 4, 1, 4, 1, 3, 0, 1, 4, 1, 3, 4, 3, 2, 2, 4, 4, 2, 4, 1, 3, 0, 2, 0, 1, 0, 3, 3, 0, 1, 0, 4, 3] pubkeycol1225 = [0, 0, 0, 1, 4, 2, 0, 0, 4, 0, 1, 1, 2, 0, 2, 1, 1, 3, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 3, 3, 0, 3, 1, 1, 1, 3, 4, 0, 4, 2, 0, 4, 1, 1, 4, 3, 3, 3, 1, 3, 2, 0, 1, 4, 4, 3, 2, 4, 2, 3, 0, 0, 3, 1, 0, 0, 2, 4, 1, 3, 1, 4, 3, 2, 1, 3, 1, 2, 0, 2, 3, 2, 4, 2, 0, 1, 0, 4, 3, 3, 4, 2, 2, 0, 1, 0, 1, 0, 3, 0, 1, 4, 2, 1, 2, 2, 1, 1, 1, 3, 0, 4, 2, 4, 3, 0, 1, 1, 2, 0, 4, 3, 1, 2, 4, 2, 0, 4, 1, 1, 3, 4, 3, 2, 1, 3, 2, 4, 2, 2, 3, 1, 1, 2, 3, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 4, 4, 4, 2, 2, 2, 1, 0, 4, 2, 0, 1, 1, 0, 4, 3, 4, 0, 0, 1, 1, 2, 0, 2, 0, 3, 1, 3, 0, 0, 1, 1, 4, 1, 2, 1, 2, 3, 4, 4, 2, 0, 2, 4, 0, 3, 1, 3, 1, 2, 3, 1, 2, 3, 3, 0, 3, 2, 4, 0, 0, 0, 2, 1, 4, 3, 3, 1, 1, 1, 4, 0, 4, 0, 3, 2, 0, 1, 3, 1, 4, 2, 1, 4, 3, 2, 4, 3, 1, 3, 0, 1, 2, 3, 0, 1, 3, 4, 1, 4, 0, 3, 0, 4, 1, 3, 1, 4, 2, 2, 3, 0, 4, 2, 2, 2, 4, 4, 4, 4, 1, 3, 1, 2, 4, 0, 4, 4, 3, 0, 4, 0, 3, 1, 4, 4, 4, 3, 2, 3, 1, 1, 2, 4, 1, 1, 0, 4, 2, 3, 4, 4, 4, 0, 4, 2, 2, 0, 1, 4, 3, 2, 1, 1] pubkeycol1226 = [3, 3, 0, 3, 4, 0, 1, 3, 3, 1, 0, 0, 1, 3, 1, 1, 0, 0, 4, 0, 4, 3, 3, 1, 3, 1, 3, 2, 3, 0, 3, 0, 4, 1, 4, 0, 2, 4, 1, 2, 4, 0, 4, 3, 3, 2, 2, 4, 0, 1, 2, 4, 3, 1, 1, 4, 1, 2, 1, 1, 4, 3, 3, 1, 2, 0, 1, 4, 0, 1, 2, 1, 1, 1, 1, 0, 3, 0, 0, 3, 1, 4, 1, 3, 4, 4, 1, 4, 0, 1, 2, 2, 3, 2, 2, 4, 4, 0, 2, 1, 4, 0, 4, 4, 1, 2, 4, 1, 3, 3, 4, 0, 3, 4, 0, 0, 3, 4, 1, 2, 3, 4, 3, 1, 4, 2, 3, 2, 2, 4, 4, 3, 0, 2, 1, 3, 1, 1, 2, 3, 0, 0, 2, 4, 2, 3, 3, 3, 4, 3, 3, 2, 3, 2, 1, 2, 1, 0, 2, 1, 0, 3, 1, 3, 0, 4, 1, 1, 4, 1, 0, 2, 4, 0, 0, 2, 0, 0, 1, 3, 2, 3, 2, 4, 3, 2, 1, 4, 1, 0, 4, 3, 1, 1, 3, 0, 3, 0, 0, 2, 1, 1, 3, 2, 1, 1, 2, 2, 3, 2, 1, 2, 4, 1, 2, 2, 4, 1, 2, 3, 4, 0, 0, 1, 2, 1, 3, 3, 4, 2, 0, 4, 1, 0, 2, 4, 1, 1, 3, 2, 1, 4, 1, 2, 4, 4, 3, 0, 4, 3, 2, 0, 3, 4, 1, 0, 4, 1, 2, 1, 1, 1, 0, 0, 4, 2, 3, 0, 4, 0, 1, 2, 0, 2, 2, 0, 0, 0, 4, 4, 0, 4, 4, 0, 1, 0, 1, 4, 3, 2, 0, 4, 3, 2, 4, 4, 2, 3, 3, 1, 3, 2, 4, 0, 3, 1, 0, 3, 3, 3, 4, 4, 1, 4, 2, 3, 0, 4, 2, 2] pubkeycol1227 = [1, 3, 0, 1, 4, 2, 1, 4, 2, 0, 1, 3, 3, 2, 3, 1, 4, 1, 0, 0, 4, 2, 0, 1, 2, 0, 2, 2, 4, 3, 3, 2, 4, 1, 0, 4, 3, 1, 2, 3, 0, 1, 0, 4, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 3, 2, 1, 4, 2, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 3, 2, 0, 3, 0, 3, 1, 3, 3, 0, 4, 0, 1, 4, 2, 3, 0, 0, 3, 3, 1, 3, 2, 4, 0, 1, 0, 4, 0, 2, 1, 1, 3, 2, 1, 4, 1, 0, 2, 3, 3, 2, 3, 2, 3, 3, 3, 4, 2, 3, 1, 4, 2, 0, 2, 4, 2, 3, 3, 0, 3, 0, 0, 4, 0, 1, 4, 4, 0, 0, 1, 1, 2, 2, 2, 3, 2, 3, 0, 4, 4, 1, 0, 3, 2, 3, 2, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 4, 1, 0, 4, 2, 2, 4, 0, 4, 1, 1, 0, 0, 1, 3, 0, 1, 2, 0, 1, 1, 2, 4, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 4, 0, 4, 3, 3, 4, 3, 3, 1, 3, 4, 2, 0, 4, 3, 4, 3, 4, 3, 2, 1, 1, 2, 3, 0, 3, 4, 3, 1, 3, 2, 2, 4, 2, 4, 1, 0, 2, 4, 4, 2, 0, 3, 0, 0, 2, 2, 4, 2, 0, 1, 4, 4, 1, 2, 4, 4, 2, 4, 1, 3, 2, 2, 2, 1, 4, 1, 2, 1, 0, 0, 2, 4, 4, 0, 3, 2, 3, 1, 2, 3, 1, 1, 4, 2, 1, 4, 1, 2, 3, 0, 3, 3, 3, 0, 4, 3, 1, 1, 2, 4, 2, 2, 2, 4, 3, 2, 3, 1, 3, 0, 2] pubkeycol1228 = [0, 3, 3, 1, 0, 4, 2, 3, 4, 0, 1, 0, 1, 2, 0, 2, 3, 4, 0, 4, 1, 0, 4, 0, 1, 0, 4, 0, 0, 1, 4, 1, 3, 3, 4, 2, 1, 0, 0, 1, 0, 0, 2, 1, 4, 0, 0, 3, 1, 3, 4, 1, 3, 4, 1, 0, 4, 0, 0, 3, 3, 4, 1, 4, 0, 2, 3, 2, 0, 1, 4, 4, 3, 2, 2, 2, 4, 4, 3, 2, 2, 3, 0, 2, 0, 1, 3, 0, 1, 1, 3, 2, 2, 4, 3, 0, 4, 0, 4, 1, 0, 0, 3, 0, 1, 4, 4, 2, 4, 3, 1, 2, 2, 0, 4, 0, 3, 3, 0, 4, 0, 0, 1, 4, 2, 1, 2, 1, 0, 0, 4, 2, 4, 0, 3, 2, 0, 2, 2, 3, 3, 4, 2, 0, 4, 3, 3, 1, 4, 1, 4, 2, 0, 3, 1, 0, 3, 4, 1, 4, 1, 1, 0, 0, 0, 1, 4, 2, 2, 1, 2, 3, 1, 4, 3, 4, 4, 3, 1, 4, 2, 3, 4, 1, 3, 0, 3, 1, 1, 2, 1, 4, 2, 4, 1, 2, 1, 3, 0, 4, 2, 3, 1, 4, 0, 3, 3, 0, 1, 3, 4, 1, 3, 1, 4, 1, 0, 3, 3, 0, 2, 1, 4, 0, 3, 1, 2, 2, 3, 0, 2, 4, 3, 2, 2, 0, 1, 3, 0, 4, 2, 2, 4, 2, 3, 2, 3, 3, 0, 0, 2, 3, 1, 2, 0, 1, 0, 2, 3, 1, 4, 1, 1, 4, 0, 4, 1, 3, 2, 4, 0, 2, 4, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 4, 1, 4, 2, 1, 2, 4, 4, 0, 4, 2, 0, 3, 1, 4, 2, 1, 3, 3, 0, 4, 4, 0, 1, 3, 2, 1, 4, 2, 3, 1, 0, 0, 2, 2, 3, 4] pubkeycol1229 = [4, 0, 3, 3, 1, 3, 4, 4, 4, 3, 3, 0, 4, 4, 4, 1, 3, 0, 2, 3, 0, 3, 2, 3, 2, 2, 0, 3, 1, 2, 0, 1, 1, 1, 4, 1, 3, 1, 4, 1, 0, 4, 1, 2, 0, 4, 0, 0, 0, 3, 1, 4, 4, 4, 2, 4, 2, 1, 3, 1, 4, 2, 0, 4, 4, 3, 1, 1, 0, 4, 1, 4, 0, 0, 0, 4, 2, 0, 3, 4, 2, 4, 3, 4, 3, 1, 2, 1, 4, 2, 0, 3, 1, 3, 3, 1, 0, 4, 4, 2, 4, 4, 4, 1, 3, 4, 3, 4, 1, 2, 4, 3, 1, 3, 1, 2, 1, 4, 2, 2, 0, 4, 2, 2, 1, 2, 1, 3, 0, 1, 2, 3, 1, 1, 3, 0, 2, 4, 0, 2, 2, 1, 3, 2, 2, 2, 1, 4, 1, 4, 4, 3, 1, 4, 0, 0, 0, 0, 0, 4, 4, 3, 3, 0, 4, 0, 1, 3, 1, 4, 3, 3, 3, 0, 1, 0, 0, 2, 4, 0, 3, 1, 1, 4, 0, 2, 0, 2, 2, 4, 0, 4, 2, 2, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 2, 1, 0, 2, 2, 2, 1, 2, 1, 4, 0, 1, 4, 3, 0, 1, 1, 1, 1, 4, 2, 4, 1, 4, 2, 3, 3, 2, 0, 3, 2, 0, 4, 0, 1, 0, 2, 2, 3, 3, 3, 1, 4, 2, 4, 3, 1, 2, 0, 0, 3, 0, 3, 2, 4, 4, 4, 1, 1, 4, 1, 4, 2, 1, 2, 3, 1, 2, 2, 1, 4, 3, 0, 4, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 3, 0, 4, 3, 1, 3, 3, 1, 4, 4, 4, 2, 1, 4, 0, 0, 3, 1, 3, 0, 3] pubkeycol1230 = [4, 4, 1, 3, 3, 2, 1, 2, 3, 4, 1, 4, 2, 1, 4, 3, 0, 3, 2, 1, 4, 4, 2, 1, 0, 1, 2, 3, 2, 0, 3, 3, 0, 3, 1, 4, 2, 3, 2, 4, 1, 2, 0, 1, 2, 0, 3, 1, 2, 4, 4, 4, 2, 4, 1, 3, 4, 4, 4, 3, 0, 2, 0, 4, 1, 3, 4, 0, 2, 4, 4, 4, 2, 3, 4, 1, 0, 2, 1, 1, 0, 1, 3, 4, 1, 2, 2, 0, 3, 3, 3, 2, 4, 0, 0, 1, 3, 3, 4, 1, 4, 4, 4, 2, 2, 1, 2, 4, 3, 4, 2, 4, 4, 0, 3, 0, 3, 1, 3, 2, 3, 4, 2, 0, 3, 2, 0, 3, 0, 1, 3, 2, 4, 4, 4, 1, 0, 4, 3, 4, 3, 1, 1, 2, 2, 4, 0, 1, 3, 0, 0, 3, 0, 1, 1, 2, 1, 1, 0, 0, 4, 4, 0, 1, 1, 4, 2, 3, 3, 1, 0, 4, 4, 3, 4, 1, 2, 1, 4, 3, 4, 0, 1, 0, 4, 2, 1, 1, 1, 4, 0, 1, 2, 0, 0, 4, 2, 0, 2, 0, 1, 2, 0, 2, 3, 1, 3, 0, 0, 2, 3, 3, 1, 0, 2, 2, 4, 0, 3, 4, 0, 0, 0, 3, 1, 1, 4, 2, 0, 4, 3, 1, 0, 3, 2, 3, 2, 1, 0, 1, 3, 0, 3, 1, 3, 3, 1, 1, 2, 0, 0, 1, 1, 3, 2, 2, 3, 1, 3, 4, 3, 3, 0, 1, 4, 4, 1, 2, 2, 0, 4, 2, 1, 2, 2, 3, 4, 3, 4, 4, 2, 4, 2, 1, 3, 1, 4, 3, 1, 0, 1, 2, 0, 0, 3, 1, 4, 3, 1, 2, 1, 1, 4, 1, 4, 2, 2, 1, 3, 2, 1, 0, 3, 4, 1, 1, 4, 2, 2, 4] pubkeycol1231 = [2, 0, 4, 2, 2, 3, 4, 0, 0, 3, 1, 3, 1, 3, 4, 1, 4, 4, 4, 3, 2, 4, 0, 2, 3, 2, 2, 0, 3, 3, 1, 3, 4, 1, 3, 2, 3, 3, 1, 4, 2, 3, 4, 2, 1, 4, 0, 2, 2, 0, 1, 3, 3, 4, 0, 3, 0, 1, 0, 0, 1, 4, 3, 2, 1, 4, 4, 2, 0, 4, 4, 3, 0, 0, 0, 2, 1, 3, 2, 2, 3, 1, 0, 0, 3, 2, 1, 4, 1, 0, 4, 0, 0, 2, 1, 4, 2, 0, 2, 2, 4, 4, 3, 2, 1, 3, 4, 0, 1, 2, 2, 1, 3, 3, 2, 3, 2, 2, 3, 0, 2, 0, 4, 1, 1, 4, 0, 4, 0, 2, 4, 3, 2, 0, 1, 0, 4, 3, 2, 4, 3, 0, 0, 4, 2, 0, 4, 0, 3, 0, 0, 0, 1, 4, 3, 3, 2, 3, 0, 0, 2, 1, 2, 0, 4, 3, 2, 1, 3, 4, 2, 2, 4, 1, 3, 2, 4, 4, 4, 3, 1, 3, 1, 1, 4, 0, 4, 4, 1, 0, 4, 4, 3, 0, 3, 0, 1, 1, 0, 1, 2, 4, 0, 0, 0, 3, 1, 4, 0, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 0, 1, 3, 2, 4, 1, 0, 1, 3, 2, 4, 4, 4, 0, 3, 1, 4, 0, 4, 1, 3, 4, 1, 1, 2, 2, 4, 4, 0, 3, 4, 4, 0, 2, 0, 3, 3, 2, 0, 3, 1, 3, 4, 1, 1, 3, 4, 3, 2, 3, 2, 4, 2, 4, 4, 1, 3, 2, 4, 3, 3, 2, 2, 2, 4, 1, 1, 4, 2, 2, 1, 4, 4, 0, 4, 3, 2, 3, 1, 0, 3, 3, 2, 2, 3, 1, 0, 1, 4, 2, 2, 0, 0, 0, 0, 0, 4, 3, 2, 0, 3] pubkeycol1232 = [0, 4, 0, 3, 1, 1, 0, 1, 4, 3, 1, 2, 2, 0, 3, 3, 1, 2, 1, 0, 0, 3, 2, 4, 3, 2, 4, 3, 2, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 4, 3, 0, 1, 4, 1, 4, 2, 0, 4, 3, 0, 0, 1, 4, 0, 2, 0, 2, 4, 3, 4, 1, 0, 2, 4, 1, 3, 0, 0, 1, 2, 4, 4, 3, 2, 2, 1, 2, 4, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 3, 3, 2, 3, 2, 0, 4, 0, 3, 4, 4, 4, 1, 2, 2, 1, 3, 1, 0, 3, 3, 0, 2, 0, 4, 3, 2, 1, 0, 0, 3, 4, 2, 3, 2, 3, 4, 4, 3, 0, 4, 3, 2, 4, 4, 2, 3, 2, 2, 4, 0, 2, 4, 4, 2, 1, 1, 4, 3, 1, 3, 2, 4, 3, 4, 3, 4, 0, 3, 2, 1, 1, 3, 1, 2, 0, 1, 3, 0, 3, 4, 4, 0, 2, 1, 4, 4, 3, 4, 3, 4, 2, 2, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 4, 2, 3, 4, 1, 2, 3, 0, 1, 2, 3, 2, 1, 3, 1, 4, 2, 3, 4, 3, 1, 3, 1, 1, 0, 1, 0, 1, 2, 4, 3, 0, 3, 2, 4, 3, 1, 2, 1, 3, 3, 0, 2, 2, 2, 4, 1, 2, 4, 0, 2, 3, 2, 0, 3, 4, 4, 3, 4, 2, 1, 4, 1, 4, 2, 0, 2, 3, 1, 1, 1, 4, 0, 1, 1, 1, 4, 1, 3, 2, 3, 4, 1, 2, 3, 0, 1, 0, 2, 1, 3, 4, 2, 4, 2, 1, 2, 4, 1, 4, 0, 4, 2, 3, 4, 3, 0, 3, 3, 1, 1, 3, 2, 1, 4, 3, 4, 3, 4] pubkeycol1233 = [0, 1, 1, 0, 2, 0, 2, 2, 3, 2, 0, 1, 4, 0, 1, 4, 3, 4, 2, 3, 3, 2, 1, 2, 3, 0, 0, 0, 1, 3, 0, 2, 2, 4, 0, 3, 4, 2, 4, 3, 4, 3, 1, 4, 2, 1, 4, 0, 0, 4, 0, 1, 3, 2, 2, 3, 3, 2, 1, 2, 2, 0, 1, 4, 4, 2, 3, 4, 0, 4, 4, 1, 3, 1, 4, 0, 0, 1, 3, 1, 2, 4, 3, 3, 4, 2, 3, 1, 1, 0, 4, 1, 1, 2, 3, 2, 3, 3, 0, 0, 4, 3, 0, 0, 3, 3, 2, 3, 2, 0, 4, 2, 1, 2, 3, 4, 0, 2, 4, 3, 1, 2, 3, 2, 0, 4, 0, 4, 3, 1, 1, 3, 1, 0, 3, 2, 3, 3, 3, 2, 3, 4, 3, 4, 2, 1, 0, 1, 2, 1, 3, 3, 2, 3, 3, 1, 1, 1, 2, 4, 0, 3, 4, 2, 1, 3, 2, 0, 3, 2, 2, 2, 3, 4, 1, 1, 4, 2, 2, 1, 2, 1, 4, 4, 3, 1, 0, 4, 2, 1, 3, 2, 1, 2, 2, 4, 1, 2, 3, 3, 4, 4, 0, 0, 1, 1, 2, 3, 2, 4, 4, 1, 2, 2, 0, 2, 3, 2, 4, 2, 3, 3, 4, 1, 3, 2, 1, 0, 2, 3, 3, 3, 3, 0, 2, 4, 2, 0, 3, 4, 4, 0, 1, 1, 0, 0, 0, 2, 3, 4, 1, 4, 0, 2, 4, 0, 3, 3, 1, 4, 1, 1, 0, 3, 3, 1, 4, 0, 3, 2, 1, 2, 4, 2, 3, 1, 1, 2, 0, 2, 0, 2, 4, 2, 3, 1, 3, 3, 2, 1, 1, 0, 3, 1, 1, 2, 4, 0, 4, 0, 2, 4, 3, 1, 1, 0, 3, 1, 3, 4, 4, 3, 4, 2, 4, 3, 0, 0, 2, 2] pubkeycol1234 = [1, 2, 1, 4, 4, 4, 0, 3, 3, 4, 2, 2, 0, 4, 3, 3, 4, 2, 2, 4, 1, 2, 0, 0, 0, 0, 0, 2, 3, 4, 3, 2, 3, 2, 4, 2, 2, 3, 1, 1, 0, 4, 1, 4, 0, 2, 2, 2, 4, 4, 0, 3, 2, 1, 4, 3, 0, 1, 0, 1, 4, 4, 4, 3, 1, 3, 0, 2, 4, 0, 4, 2, 0, 2, 4, 1, 1, 2, 2, 2, 3, 0, 2, 1, 2, 2, 3, 4, 3, 1, 4, 3, 3, 2, 4, 2, 2, 3, 0, 1, 3, 1, 0, 2, 0, 0, 4, 3, 4, 4, 3, 0, 2, 4, 1, 0, 3, 4, 4, 2, 3, 0, 1, 3, 4, 2, 2, 2, 3, 1, 0, 1, 3, 2, 3, 3, 4, 4, 2, 2, 3, 3, 3, 0, 4, 3, 4, 3, 1, 1, 0, 4, 4, 3, 2, 4, 3, 4, 3, 0, 0, 3, 2, 1, 1, 2, 2, 4, 4, 1, 4, 0, 4, 3, 2, 1, 1, 1, 4, 2, 4, 1, 3, 1, 0, 0, 3, 1, 1, 2, 1, 4, 1, 3, 4, 1, 3, 0, 0, 2, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 3, 4, 4, 3, 3, 0, 2, 4, 1, 4, 2, 0, 3, 3, 4, 4, 3, 4, 2, 2, 3, 1, 2, 4, 0, 2, 2, 3, 0, 3, 0, 4, 3, 2, 2, 4, 4, 2, 0, 0, 3, 3, 4, 1, 4, 1, 0, 3, 4, 4, 4, 4, 0, 2, 0, 4, 0, 1, 3, 4, 1, 3, 4, 4, 3, 3, 2, 0, 0, 2, 3, 0, 0, 2, 1, 4, 2, 1, 3, 2, 3, 3, 1, 0, 0, 4, 3, 4, 2, 2, 0, 2, 3, 0, 3, 1, 4, 3, 1, 4, 4, 3, 0, 3, 3, 2, 2, 1, 1, 2] pubkeycol1235 = [0, 3, 0, 3, 3, 0, 0, 4, 2, 2, 3, 1, 3, 2, 1, 4, 4, 2, 4, 0, 0, 4, 1, 0, 1, 0, 4, 3, 1, 2, 4, 4, 3, 0, 4, 4, 4, 2, 0, 4, 3, 4, 0, 4, 1, 3, 3, 4, 4, 2, 1, 3, 3, 2, 2, 0, 2, 0, 1, 3, 1, 0, 3, 3, 4, 0, 0, 2, 0, 0, 3, 3, 4, 0, 0, 3, 2, 3, 3, 2, 3, 4, 0, 3, 0, 0, 4, 4, 0, 0, 4, 2, 3, 4, 2, 3, 0, 2, 2, 4, 0, 0, 0, 4, 2, 0, 2, 3, 1, 2, 3, 4, 3, 3, 4, 0, 2, 1, 3, 4, 3, 1, 0, 2, 4, 2, 3, 1, 0, 3, 0, 2, 4, 4, 0, 2, 2, 4, 4, 3, 3, 3, 3, 3, 2, 4, 2, 1, 1, 2, 0, 0, 1, 3, 0, 1, 2, 2, 1, 0, 1, 4, 1, 0, 1, 4, 2, 0, 4, 1, 3, 1, 0, 4, 1, 2, 0, 4, 2, 4, 3, 3, 3, 2, 3, 3, 1, 1, 1, 4, 4, 4, 2, 4, 2, 1, 4, 3, 4, 0, 4, 4, 3, 4, 1, 1, 0, 2, 3, 0, 1, 1, 2, 2, 4, 4, 3, 3, 2, 3, 1, 2, 3, 0, 3, 4, 0, 1, 3, 1, 4, 3, 4, 3, 2, 4, 0, 4, 2, 2, 3, 2, 0, 1, 2, 1, 4, 4, 3, 3, 1, 0, 4, 3, 0, 4, 2, 2, 4, 0, 0, 2, 3, 4, 4, 2, 3, 3, 1, 0, 1, 3, 0, 4, 3, 4, 0, 0, 2, 0, 2, 1, 0, 4, 2, 2, 1, 0, 3, 3, 2, 3, 4, 1, 2, 1, 4, 0, 0, 3, 2, 2, 0, 4, 2, 4, 2, 4, 0, 4, 4, 2, 0, 2, 3, 0, 4, 2, 0, 2] pubkeycol1236 = [3, 2, 4, 2, 4, 3, 1, 1, 4, 2, 3, 3, 2, 2, 0, 1, 3, 4, 3, 4, 2, 4, 2, 0, 0, 3, 1, 3, 3, 4, 3, 1, 3, 0, 4, 2, 1, 0, 3, 0, 0, 1, 4, 2, 1, 2, 2, 1, 3, 0, 3, 3, 1, 1, 2, 1, 0, 2, 3, 3, 1, 4, 1, 1, 0, 3, 3, 0, 1, 1, 2, 3, 4, 1, 1, 4, 0, 3, 3, 1, 1, 0, 2, 1, 1, 3, 2, 0, 1, 1, 4, 3, 1, 4, 2, 4, 1, 2, 3, 1, 1, 1, 2, 3, 3, 3, 1, 3, 1, 4, 3, 4, 1, 0, 1, 1, 4, 1, 0, 1, 4, 3, 4, 0, 0, 2, 1, 3, 2, 1, 2, 0, 0, 3, 4, 1, 3, 1, 1, 1, 1, 3, 4, 2, 4, 4, 3, 2, 4, 2, 3, 4, 2, 4, 0, 0, 4, 0, 1, 0, 3, 2, 0, 2, 1, 0, 4, 4, 1, 0, 1, 1, 4, 0, 1, 1, 4, 1, 3, 2, 3, 4, 4, 3, 3, 4, 3, 4, 1, 2, 4, 4, 1, 0, 4, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 2, 4, 1, 1, 2, 4, 3, 2, 2, 0, 1, 3, 4, 4, 4, 4, 1, 0, 1, 4, 4, 4, 0, 1, 4, 0, 2, 1, 0, 1, 0, 4, 0, 4, 1, 4, 1, 1, 0, 4, 0, 2, 0, 4, 3, 2, 3, 1, 1, 1, 0, 3, 2, 1, 2, 3, 1, 1, 4, 0, 2, 1, 3, 1, 0, 4, 3, 0, 0, 3, 4, 3, 0, 3, 1, 1, 4, 0, 3, 3, 0, 4, 2, 2, 1, 2, 2, 2, 3, 1, 3, 1, 3, 2, 1, 3, 3, 1, 3, 3, 3, 4, 2, 1, 3, 0, 3, 1, 2, 4, 2, 3, 1, 0, 4] pubkeycol1237 = [1, 0, 1, 0, 3, 2, 1, 0, 1, 2, 4, 4, 0, 4, 2, 2, 1, 0, 4, 2, 3, 3, 2, 2, 2, 3, 2, 4, 2, 3, 3, 1, 2, 4, 3, 0, 3, 2, 0, 0, 2, 1, 1, 3, 0, 1, 0, 0, 2, 3, 1, 3, 2, 1, 4, 2, 2, 0, 4, 2, 2, 3, 1, 4, 4, 2, 2, 1, 2, 3, 1, 3, 3, 3, 0, 4, 1, 3, 3, 1, 1, 3, 4, 1, 1, 4, 2, 3, 1, 1, 1, 1, 3, 1, 2, 4, 1, 3, 0, 3, 2, 0, 3, 2, 1, 1, 4, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 4, 1, 2, 2, 1, 1, 4, 4, 1, 1, 2, 3, 0, 2, 3, 4, 2, 4, 2, 1, 3, 4, 0, 1, 1, 4, 4, 4, 4, 4, 3, 2, 4, 2, 3, 0, 1, 0, 3, 0, 0, 1, 3, 1, 1, 0, 4, 2, 1, 4, 3, 0, 4, 3, 0, 4, 4, 3, 1, 0, 0, 0, 0, 2, 2, 0, 4, 3, 4, 0, 1, 1, 2, 4, 1, 3, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 4, 1, 4, 4, 2, 1, 1, 1, 3, 1, 2, 2, 2, 4, 0, 0, 2, 1, 4, 0, 1, 4, 0, 0, 0, 3, 1, 4, 0, 4, 4, 4, 0, 2, 1, 1, 4, 1, 2, 0, 1, 3, 2, 0, 0, 3, 3, 4, 2, 0, 2, 3, 3, 4, 2, 0, 2, 2, 4, 1, 1, 2, 0, 4, 0, 4, 0, 3, 1, 4, 2, 1, 4, 1, 1, 3, 2, 3, 1, 1, 3, 1, 3, 4, 0, 4, 0, 0, 4, 4, 4, 2, 2, 2, 1, 0, 3, 0, 0, 1, 3, 0, 4, 0, 2, 3, 2, 4, 2, 3, 3, 2, 4, 4, 3] pubkeycol1238 = [3, 3, 3, 4, 4, 1, 0, 0, 4, 2, 2, 2, 2, 4, 0, 3, 3, 2, 1, 4, 1, 3, 0, 4, 0, 2, 3, 4, 0, 0, 4, 1, 2, 4, 3, 2, 4, 1, 0, 2, 1, 1, 3, 4, 2, 1, 3, 2, 4, 4, 2, 0, 3, 0, 1, 2, 1, 2, 4, 4, 0, 1, 4, 3, 4, 2, 3, 0, 1, 2, 1, 2, 2, 0, 4, 0, 1, 4, 1, 1, 3, 3, 3, 2, 3, 2, 4, 3, 4, 0, 0, 3, 2, 3, 1, 4, 1, 4, 2, 3, 2, 1, 2, 4, 0, 2, 4, 3, 2, 2, 0, 2, 4, 3, 3, 0, 0, 0, 1, 4, 2, 3, 1, 3, 0, 3, 2, 4, 3, 3, 2, 0, 4, 4, 4, 1, 2, 4, 0, 3, 3, 2, 2, 2, 2, 1, 4, 3, 4, 3, 3, 4, 4, 2, 0, 4, 4, 1, 2, 2, 4, 1, 4, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 4, 3, 4, 3, 0, 4, 1, 1, 3, 2, 4, 0, 1, 2, 0, 1, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 2, 2, 2, 4, 4, 1, 3, 2, 4, 1, 3, 0, 1, 1, 2, 3, 4, 1, 4, 1, 0, 3, 1, 4, 3, 1, 3, 1, 4, 0, 1, 0, 2, 2, 1, 3, 0, 1, 4, 0, 1, 4, 0, 4, 1, 1, 0, 4, 1, 1, 2, 2, 3, 2, 0, 3, 4, 2, 1, 0, 3, 3, 2, 4, 1, 0, 1, 1, 4, 3, 0, 1, 4, 3, 1, 2, 3, 4, 3, 4, 4, 4, 1, 4, 4, 0, 3, 0, 1, 2, 0, 1, 0, 1, 3, 3, 4, 1, 1, 3, 0, 4, 4, 2, 4, 0, 3, 3, 2, 2, 4, 4, 1, 0, 3, 0, 4, 0, 0, 1, 2] pubkeycol1239 = [0, 3, 3, 2, 1, 3, 3, 4, 3, 2, 4, 2, 2, 0, 1, 3, 2, 4, 4, 0, 3, 4, 4, 1, 2, 1, 4, 2, 4, 0, 4, 0, 3, 4, 2, 2, 1, 3, 3, 4, 2, 3, 1, 2, 2, 4, 4, 3, 1, 3, 1, 1, 0, 3, 2, 2, 1, 3, 1, 4, 2, 1, 0, 4, 4, 3, 2, 2, 4, 0, 4, 1, 2, 2, 3, 2, 4, 4, 1, 4, 1, 4, 2, 1, 0, 4, 0, 3, 1, 4, 3, 4, 3, 4, 1, 4, 4, 3, 2, 1, 4, 2, 0, 3, 1, 1, 4, 4, 0, 3, 3, 0, 1, 2, 4, 0, 3, 4, 1, 2, 3, 0, 4, 1, 3, 3, 0, 1, 3, 4, 3, 4, 4, 0, 4, 2, 4, 4, 3, 0, 2, 0, 2, 3, 0, 0, 0, 3, 1, 1, 3, 4, 3, 0, 3, 3, 4, 4, 1, 2, 3, 3, 1, 3, 1, 4, 0, 3, 3, 3, 1, 1, 3, 3, 4, 1, 4, 3, 3, 3, 4, 0, 1, 3, 4, 3, 2, 2, 0, 4, 4, 2, 0, 4, 4, 0, 3, 4, 2, 2, 2, 2, 3, 3, 4, 4, 1, 0, 0, 2, 4, 2, 1, 0, 2, 3, 3, 1, 4, 4, 0, 3, 2, 4, 3, 1, 4, 0, 3, 2, 3, 1, 0, 4, 4, 3, 4, 1, 1, 4, 4, 2, 2, 1, 2, 2, 3, 4, 3, 3, 3, 1, 2, 2, 4, 2, 2, 2, 2, 1, 3, 4, 2, 1, 2, 2, 1, 3, 0, 3, 4, 0, 3, 0, 2, 3, 2, 1, 2, 4, 4, 4, 1, 0, 0, 0, 4, 2, 1, 2, 3, 1, 0, 0, 0, 2, 2, 0, 4, 1, 3, 2, 3, 2, 2, 3, 1, 2, 3, 2, 2, 4, 4, 1, 0, 4, 1, 0, 2, 2] pubkeycol1240 = [2, 4, 1, 0, 2, 4, 1, 4, 1, 0, 4, 2, 2, 3, 4, 0, 1, 0, 3, 4, 2, 4, 1, 4, 2, 3, 0, 2, 0, 1, 4, 0, 2, 1, 3, 3, 0, 0, 4, 1, 1, 1, 4, 0, 4, 1, 3, 3, 4, 2, 3, 3, 4, 2, 2, 0, 4, 4, 3, 1, 3, 0, 1, 3, 4, 3, 3, 1, 2, 3, 1, 1, 4, 1, 0, 3, 1, 1, 1, 1, 3, 3, 3, 1, 0, 1, 2, 4, 2, 1, 4, 3, 1, 2, 4, 4, 4, 1, 4, 3, 1, 3, 4, 1, 4, 3, 2, 1, 1, 1, 4, 4, 4, 2, 1, 3, 3, 0, 4, 2, 0, 4, 4, 2, 0, 3, 3, 0, 0, 0, 3, 4, 0, 0, 3, 0, 2, 1, 3, 0, 4, 0, 3, 1, 2, 1, 3, 4, 1, 1, 0, 2, 4, 3, 3, 2, 2, 3, 1, 4, 2, 3, 1, 2, 0, 0, 0, 4, 2, 4, 4, 3, 3, 4, 3, 3, 0, 1, 4, 0, 3, 3, 4, 1, 0, 0, 4, 1, 4, 1, 3, 0, 1, 2, 1, 1, 3, 0, 2, 2, 3, 0, 3, 3, 2, 0, 1, 1, 2, 3, 1, 3, 4, 0, 3, 1, 4, 3, 0, 2, 0, 2, 4, 4, 2, 3, 1, 2, 3, 3, 0, 2, 1, 3, 4, 2, 0, 2, 4, 0, 0, 3, 1, 1, 3, 0, 0, 4, 0, 2, 0, 4, 0, 1, 4, 3, 0, 3, 3, 1, 3, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 4, 4, 0, 2, 4, 1, 1, 3, 4, 1, 1, 1, 1, 0, 0, 0, 4, 3, 1, 3, 3, 2, 4, 3, 1, 0, 1, 1, 1, 2, 4, 3, 0, 3, 0, 2, 1, 3, 0, 0, 0, 1, 4, 3, 0, 4, 4, 1, 2] pubkeycol1241 = [4, 4, 2, 0, 4, 3, 4, 3, 2, 0, 4, 0, 3, 0, 0, 0, 0, 4, 2, 1, 1, 2, 0, 0, 2, 2, 0, 4, 3, 1, 2, 4, 1, 0, 0, 2, 2, 3, 3, 1, 3, 0, 1, 1, 3, 0, 1, 4, 4, 2, 3, 2, 3, 3, 3, 4, 4, 4, 3, 3, 2, 0, 3, 3, 0, 0, 4, 0, 3, 0, 0, 2, 4, 3, 3, 1, 4, 1, 2, 1, 4, 0, 3, 0, 3, 4, 1, 1, 4, 4, 1, 3, 2, 1, 0, 3, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 4, 0, 2, 4, 1, 1, 1, 0, 4, 0, 1, 3, 4, 2, 0, 0, 2, 0, 4, 2, 4, 3, 3, 3, 2, 2, 0, 0, 0, 0, 3, 3, 0, 4, 0, 1, 4, 3, 1, 4, 3, 4, 0, 0, 2, 4, 2, 2, 2, 0, 2, 0, 1, 2, 3, 1, 1, 3, 3, 4, 1, 0, 3, 1, 4, 2, 4, 3, 0, 3, 3, 0, 1, 2, 4, 2, 0, 1, 3, 3, 1, 3, 4, 4, 0, 2, 3, 4, 3, 4, 0, 4, 2, 4, 4, 0, 3, 3, 3, 2, 2, 2, 0, 1, 1, 2, 0, 4, 3, 4, 0, 2, 3, 0, 1, 0, 4, 2, 4, 2, 4, 0, 0, 0, 3, 3, 1, 3, 2, 4, 1, 0, 3, 4, 2, 4, 1, 2, 1, 4, 2, 0, 0, 4, 1, 0, 3, 0, 0, 0, 2, 4, 2, 3, 2, 3, 2, 3, 2, 3, 1, 0, 4, 2, 1, 1, 1, 3, 1, 0, 0, 4, 2, 1, 3, 2, 3, 4, 2, 4, 4, 3, 0, 0, 1, 3, 2, 2, 3, 0, 4, 2, 0, 2, 4, 4, 4, 2, 2, 0, 0, 0, 3, 1, 3, 4, 0, 3, 1, 3, 3, 4, 3, 3] pubkeycol1242 = [2, 2, 2, 4, 4, 0, 0, 1, 1, 3, 0, 4, 0, 0, 0, 3, 1, 3, 0, 0, 3, 0, 2, 4, 0, 3, 0, 1, 2, 1, 3, 2, 1, 2, 1, 2, 4, 4, 1, 2, 3, 2, 0, 3, 1, 4, 2, 4, 0, 2, 3, 1, 0, 3, 0, 0, 3, 3, 0, 3, 4, 4, 0, 4, 2, 4, 4, 0, 1, 4, 3, 2, 0, 0, 2, 2, 3, 1, 3, 2, 2, 1, 2, 4, 0, 2, 3, 1, 2, 2, 4, 3, 4, 0, 0, 3, 0, 2, 3, 1, 2, 1, 3, 2, 4, 0, 2, 1, 0, 0, 0, 2, 1, 3, 4, 2, 4, 0, 3, 3, 0, 4, 3, 1, 1, 3, 0, 2, 0, 4, 3, 3, 1, 1, 3, 1, 0, 0, 0, 0, 4, 2, 2, 3, 3, 1, 0, 0, 4, 0, 2, 0, 0, 2, 1, 3, 4, 0, 0, 4, 1, 4, 3, 1, 0, 2, 3, 2, 4, 3, 3, 1, 4, 4, 3, 4, 3, 3, 4, 4, 1, 2, 0, 2, 1, 3, 3, 1, 4, 3, 2, 3, 2, 2, 1, 3, 0, 0, 3, 4, 0, 0, 4, 3, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 3, 1, 4, 1, 2, 2, 1, 1, 0, 0, 4, 4, 4, 3, 1, 0, 2, 1, 2, 3, 0, 1, 0, 1, 0, 2, 1, 2, 2, 3, 1, 3, 3, 2, 4, 4, 3, 2, 3, 2, 2, 0, 2, 2, 4, 4, 1, 3, 3, 0, 1, 4, 4, 4, 0, 1, 3, 2, 3, 3, 3, 0, 2, 4, 4, 4, 2, 2, 4, 0, 2, 0, 1, 3, 0, 4, 0, 4, 3, 0, 4, 2, 1, 4, 2, 1, 0, 2, 1, 2, 1, 4, 1, 0, 1, 4, 1, 0, 4, 4, 4, 3, 1] pubkeycol1243 = [1, 1, 1, 0, 0, 1, 2, 4, 0, 1, 0, 1, 1, 3, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 3, 3, 1, 4, 0, 3, 0, 2, 2, 1, 3, 1, 0, 2, 3, 4, 2, 3, 3, 1, 0, 4, 4, 2, 3, 3, 4, 4, 1, 4, 3, 3, 4, 3, 3, 1, 0, 2, 2, 0, 1, 0, 4, 4, 0, 1, 2, 1, 0, 3, 2, 4, 3, 3, 1, 1, 1, 0, 2, 2, 0, 3, 2, 1, 3, 1, 2, 3, 0, 1, 2, 4, 0, 0, 0, 3, 0, 2, 3, 0, 3, 3, 2, 2, 1, 0, 4, 4, 1, 1, 4, 4, 1, 1, 3, 4, 0, 4, 0, 0, 3, 2, 3, 0, 4, 4, 1, 1, 3, 4, 1, 1, 4, 4, 2, 1, 4, 0, 4, 4, 3, 1, 0, 2, 4, 2, 3, 3, 2, 0, 0, 0, 0, 0, 2, 4, 3, 2, 4, 3, 0, 2, 1, 3, 2, 4, 2, 0, 1, 1, 4, 1, 3, 0, 2, 2, 1, 1, 4, 3, 4, 3, 4, 2, 0, 0, 0, 3, 3, 0, 1, 1, 0, 1, 3, 4, 4, 1, 4, 0, 2, 3, 0, 3, 3, 0, 1, 0, 3, 3, 3, 1, 1, 3, 2, 1, 2, 2, 1, 1, 4, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 3, 2, 3, 4, 3, 2, 3, 1, 4, 2, 0, 3, 3, 2, 1, 0, 2, 1, 1, 4, 4, 2, 0, 3, 4, 2, 0, 3, 3, 0, 1, 1, 4, 2, 0, 1, 3, 4, 1, 2, 4, 4, 4, 0, 0, 0, 3, 0, 1, 2, 0, 2, 1, 1, 4, 1, 3, 0, 0, 3, 2, 2, 3, 1, 4, 4, 4, 0, 2, 0, 0, 4, 4, 2, 3, 0, 2, 3, 4, 2, 0, 4, 3] pubkeycol1244 = [1, 3, 4, 4, 4, 3, 3, 3, 2, 3, 4, 1, 2, 3, 4, 4, 2, 4, 4, 4, 3, 0, 2, 0, 4, 3, 0, 3, 0, 3, 3, 1, 1, 0, 4, 4, 3, 3, 3, 0, 2, 3, 4, 4, 1, 0, 0, 3, 0, 0, 2, 4, 1, 2, 1, 1, 2, 4, 4, 2, 2, 2, 2, 1, 4, 2, 1, 1, 4, 4, 2, 1, 3, 3, 4, 1, 3, 0, 1, 0, 3, 0, 0, 3, 0, 4, 4, 1, 3, 4, 3, 0, 4, 3, 2, 1, 0, 0, 0, 1, 3, 2, 3, 2, 2, 1, 0, 4, 1, 2, 2, 4, 0, 3, 4, 3, 0, 0, 1, 0, 0, 0, 0, 3, 0, 3, 2, 2, 3, 0, 3, 1, 0, 0, 2, 1, 2, 0, 1, 3, 1, 1, 4, 2, 0, 3, 0, 0, 4, 4, 1, 2, 2, 1, 0, 3, 3, 4, 2, 1, 1, 2, 1, 0, 4, 4, 2, 4, 2, 4, 4, 4, 0, 0, 1, 4, 1, 1, 3, 2, 1, 3, 4, 2, 4, 0, 3, 3, 1, 2, 4, 2, 2, 4, 1, 2, 1, 4, 2, 0, 4, 2, 2, 1, 0, 0, 3, 1, 4, 2, 2, 0, 0, 4, 1, 2, 2, 3, 0, 2, 3, 3, 4, 0, 0, 2, 0, 4, 2, 3, 2, 0, 2, 4, 4, 4, 1, 3, 4, 3, 1, 2, 0, 0, 2, 2, 4, 3, 0, 0, 4, 0, 2, 4, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 4, 1, 0, 0, 2, 0, 1, 3, 4, 2, 0, 0, 3, 2, 4, 4, 1, 0, 4, 2, 4, 1, 4, 3, 3, 0, 1, 3, 4, 1, 2, 4, 1, 0, 4, 4, 1, 0, 0, 4, 3, 0, 0, 3, 2, 2, 4, 4, 4, 2, 2, 0, 0, 2] pubkeycol1245 = [0, 0, 3, 3, 0, 0, 2, 1, 0, 3, 4, 3, 2, 2, 3, 1, 0, 1, 2, 4, 0, 1, 3, 2, 0, 0, 3, 3, 4, 3, 0, 2, 0, 0, 0, 3, 3, 0, 2, 0, 1, 4, 2, 1, 1, 1, 4, 1, 2, 4, 1, 0, 1, 3, 3, 1, 3, 0, 4, 2, 4, 3, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 3, 0, 1, 4, 0, 0, 2, 0, 0, 0, 0, 2, 3, 2, 3, 3, 1, 2, 3, 4, 2, 2, 1, 1, 4, 2, 0, 0, 1, 1, 2, 0, 0, 0, 3, 1, 2, 1, 2, 4, 4, 4, 3, 3, 3, 1, 2, 3, 3, 4, 4, 4, 2, 2, 2, 2, 0, 2, 2, 0, 3, 1, 3, 4, 1, 0, 2, 3, 0, 2, 2, 1, 0, 1, 4, 4, 0, 1, 0, 4, 3, 1, 0, 3, 3, 3, 3, 4, 3, 3, 2, 1, 2, 3, 3, 0, 1, 4, 4, 1, 1, 2, 4, 4, 1, 1, 0, 2, 2, 4, 3, 1, 4, 2, 0, 2, 0, 2, 0, 4, 4, 0, 2, 3, 1, 1, 2, 0, 2, 1, 4, 1, 4, 2, 4, 2, 2, 0, 2, 4, 0, 3, 1, 2, 1, 1, 2, 3, 1, 0, 2, 4, 0, 3, 0, 4, 1, 0, 1, 3, 1, 2, 1, 0, 3, 2, 2, 3, 4, 1, 2, 3, 3, 2, 0, 1, 2, 3, 1, 1, 3, 3, 4, 3, 3, 2, 1, 0, 4, 0, 0, 0, 2, 3, 3, 1, 1, 0, 4, 0, 4, 4, 0, 4, 3, 3, 1, 0, 1, 4, 4, 3, 0, 1, 1, 4, 3, 2, 2, 3, 4, 2, 2, 4, 4, 2, 2, 1, 3, 1, 0, 0, 3, 4, 3, 2, 1, 0, 3, 2, 4, 0, 2, 4, 0, 4, 1] pubkeycol1246 = [1, 3, 1, 1, 3, 0, 1, 1, 0, 0, 2, 0, 0, 0, 4, 4, 1, 0, 2, 1, 3, 3, 2, 4, 3, 0, 0, 3, 2, 3, 1, 2, 3, 1, 2, 3, 2, 2, 3, 3, 3, 0, 1, 4, 0, 1, 4, 0, 4, 3, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 4, 4, 0, 1, 4, 4, 2, 0, 2, 4, 1, 4, 1, 3, 2, 0, 2, 4, 1, 0, 3, 0, 4, 2, 4, 4, 0, 4, 3, 2, 3, 1, 1, 3, 0, 3, 3, 4, 3, 3, 2, 2, 1, 3, 4, 1, 1, 1, 1, 1, 1, 3, 1, 2, 0, 3, 3, 3, 0, 3, 0, 1, 3, 4, 0, 4, 3, 3, 0, 0, 3, 1, 1, 3, 4, 1, 1, 2, 3, 3, 4, 1, 1, 0, 2, 2, 2, 3, 0, 4, 4, 0, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 1, 1, 4, 0, 0, 1, 3, 3, 0, 3, 2, 4, 1, 1, 1, 1, 4, 3, 0, 2, 2, 1, 2, 0, 1, 1, 4, 0, 3, 3, 1, 1, 4, 1, 0, 3, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 4, 0, 4, 1, 4, 2, 4, 0, 2, 4, 2, 1, 0, 0, 2, 4, 0, 0, 4, 1, 0, 3, 1, 4, 2, 1, 1, 3, 0, 1, 0, 1, 3, 4, 2, 4, 3, 0, 3, 1, 4, 2, 0, 4, 4, 4, 3, 4, 4, 4, 0, 2, 3, 2, 0, 3, 1, 4, 4, 0, 3, 4, 1, 2, 2, 1, 0, 4, 0, 0, 1, 1, 1, 0, 1, 4, 1, 4, 4, 2, 4, 3, 0, 0, 1, 0, 4, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 4] pubkeycol1247 = [0, 0, 0, 1, 1, 0, 4, 1, 4, 4, 4, 1, 2, 4, 4, 3, 2, 2, 1, 2, 2, 1, 2, 3, 0, 0, 2, 0, 3, 2, 3, 3, 2, 1, 3, 1, 4, 2, 1, 2, 4, 4, 3, 0, 3, 3, 1, 4, 2, 0, 1, 4, 2, 1, 2, 3, 0, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 3, 4, 0, 1, 1, 0, 1, 2, 1, 4, 4, 0, 4, 2, 3, 2, 2, 1, 1, 4, 0, 4, 3, 1, 4, 3, 4, 2, 0, 3, 4, 4, 1, 4, 2, 4, 4, 2, 2, 0, 1, 4, 4, 3, 0, 0, 2, 3, 0, 2, 3, 3, 2, 0, 3, 4, 2, 0, 3, 3, 1, 1, 0, 2, 1, 4, 0, 0, 1, 0, 4, 2, 3, 1, 4, 0, 3, 4, 3, 0, 1, 3, 4, 3, 1, 3, 2, 2, 2, 3, 2, 3, 0, 1, 4, 1, 1, 2, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 2, 4, 3, 4, 3, 1, 0, 3, 1, 4, 1, 0, 4, 3, 2, 3, 3, 3, 4, 0, 0, 0, 2, 3, 4, 1, 0, 1, 0, 4, 3, 4, 3, 0, 1, 1, 1, 0, 1, 1, 3, 0, 0, 3, 0, 0, 3, 0, 2, 1, 1, 2, 0, 4, 1, 2, 3, 2, 1, 0, 2, 3, 1, 3, 2, 0, 4, 3, 4, 1, 4, 0, 4, 4, 0, 3, 1, 3, 2, 0, 0, 3, 0, 1, 1, 3, 3, 0, 2, 4, 0, 0, 3, 4, 2, 4, 4, 3, 4, 4, 3, 3, 1, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1, 0, 4, 1, 0, 4, 0, 2, 0, 0, 3, 2, 0, 3, 0, 4, 0, 4, 1, 2, 1, 4, 4, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol1248 = [0, 1, 1, 4, 1, 3, 1, 3, 4, 1, 2, 1, 1, 0, 0, 4, 0, 1, 0, 3, 1, 0, 0, 2, 1, 1, 2, 3, 3, 2, 2, 0, 3, 0, 3, 1, 2, 4, 3, 3, 0, 1, 2, 0, 0, 4, 4, 0, 0, 4, 2, 1, 0, 3, 0, 4, 3, 1, 3, 2, 2, 3, 3, 1, 1, 1, 0, 4, 2, 2, 4, 4, 0, 3, 4, 4, 3, 2, 0, 3, 0, 4, 1, 0, 4, 3, 3, 2, 3, 4, 0, 4, 4, 4, 0, 3, 2, 1, 4, 2, 1, 1, 2, 0, 2, 2, 0, 4, 4, 3, 0, 4, 0, 1, 3, 0, 0, 4, 2, 3, 0, 2, 3, 0, 3, 0, 3, 4, 2, 4, 3, 2, 1, 2, 2, 4, 2, 1, 4, 2, 1, 2, 4, 2, 0, 2, 2, 0, 1, 2, 3, 2, 3, 1, 0, 1, 3, 2, 2, 2, 0, 0, 1, 0, 0, 4, 1, 4, 0, 4, 1, 4, 2, 4, 1, 1, 4, 4, 1, 2, 1, 0, 4, 3, 1, 0, 3, 1, 2, 4, 2, 0, 1, 1, 2, 2, 4, 0, 2, 1, 4, 2, 2, 4, 4, 3, 4, 3, 2, 1, 1, 0, 3, 1, 1, 3, 3, 2, 2, 4, 0, 4, 4, 2, 1, 1, 3, 1, 2, 0, 4, 1, 3, 3, 4, 1, 0, 3, 0, 4, 2, 1, 0, 2, 3, 4, 2, 4, 4, 3, 4, 3, 4, 1, 2, 0, 2, 1, 0, 2, 2, 1, 3, 3, 2, 3, 3, 4, 2, 4, 2, 1, 1, 3, 2, 2, 3, 3, 0, 2, 2, 0, 4, 2, 2, 3, 4, 2, 3, 4, 4, 0, 2, 2, 1, 0, 0, 4, 1, 0, 4, 1, 0, 0, 1, 4, 1, 0, 1, 0, 3, 2, 0, 1, 4, 0, 2, 0, 1, 1] pubkeycol1249 = [2, 0, 1, 2, 2, 1, 3, 4, 1, 4, 2, 2, 2, 2, 1, 4, 1, 0, 2, 3, 1, 1, 3, 1, 3, 4, 4, 4, 3, 1, 3, 2, 3, 3, 0, 3, 2, 3, 1, 1, 3, 2, 1, 3, 0, 4, 1, 3, 3, 4, 4, 0, 3, 2, 3, 1, 0, 2, 3, 4, 2, 1, 3, 3, 4, 4, 4, 3, 1, 3, 2, 2, 1, 3, 0, 0, 1, 3, 3, 3, 1, 1, 2, 0, 1, 3, 4, 0, 0, 2, 1, 4, 1, 4, 4, 0, 2, 0, 1, 3, 2, 1, 3, 2, 1, 4, 2, 3, 3, 1, 3, 3, 4, 4, 2, 0, 3, 4, 0, 0, 1, 4, 0, 3, 2, 4, 3, 1, 2, 0, 4, 2, 2, 3, 2, 4, 1, 4, 0, 1, 2, 0, 2, 3, 2, 0, 4, 3, 2, 3, 3, 1, 2, 1, 4, 3, 4, 3, 1, 1, 0, 3, 0, 2, 4, 3, 1, 1, 2, 3, 4, 0, 4, 3, 1, 2, 2, 1, 0, 3, 4, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 3, 1, 0, 3, 4, 3, 4, 2, 0, 2, 1, 0, 1, 4, 4, 3, 2, 0, 4, 0, 3, 2, 4, 1, 0, 4, 3, 0, 1, 0, 4, 2, 4, 0, 2, 1, 2, 0, 4, 0, 3, 2, 0, 0, 0, 2, 4, 2, 4, 0, 2, 1, 1, 1, 0, 4, 4, 4, 1, 2, 0, 2, 4, 3, 0, 2, 4, 3, 0, 0, 3, 0, 0, 0, 4, 1, 3, 4, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 4, 1, 3, 4, 2, 2, 3, 4, 2, 1, 0, 1, 0, 2, 1, 1, 4, 2, 2, 3, 1, 1, 1, 4, 1, 4, 4, 4, 3, 4, 1, 2, 4, 3, 4, 3, 3, 0, 4, 2] pubkeycol1250 = [2, 2, 3, 1, 1, 0, 1, 3, 4, 3, 0, 0, 0, 2, 4, 4, 2, 1, 4, 0, 3, 4, 4, 0, 4, 4, 2, 2, 0, 2, 3, 0, 0, 0, 1, 3, 4, 0, 4, 0, 1, 4, 1, 2, 1, 2, 4, 1, 2, 2, 4, 1, 1, 0, 0, 0, 3, 0, 4, 2, 2, 0, 2, 2, 0, 4, 2, 0, 0, 3, 3, 1, 4, 3, 2, 2, 0, 1, 4, 2, 1, 0, 2, 0, 2, 4, 1, 2, 2, 3, 1, 1, 3, 3, 3, 3, 2, 0, 1, 2, 4, 1, 2, 2, 3, 2, 4, 0, 3, 2, 1, 0, 3, 1, 0, 1, 2, 0, 3, 2, 0, 0, 1, 0, 4, 1, 1, 4, 1, 2, 3, 2, 4, 3, 2, 0, 1, 4, 1, 1, 0, 0, 0, 4, 0, 1, 2, 0, 4, 3, 4, 2, 0, 2, 2, 4, 4, 4, 0, 3, 1, 4, 0, 4, 2, 3, 3, 4, 1, 4, 2, 0, 1, 4, 0, 1, 1, 3, 1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 4, 1, 3, 0, 2, 1, 3, 0, 4, 4, 4, 0, 4, 4, 3, 0, 2, 2, 3, 1, 1, 1, 3, 4, 1, 0, 2, 1, 2, 4, 3, 4, 4, 4, 1, 4, 3, 3, 2, 2, 0, 2, 2, 3, 4, 2, 3, 2, 2, 0, 0, 3, 4, 0, 2, 3, 1, 4, 2, 4, 3, 0, 4, 1, 1, 4, 3, 1, 2, 2, 4, 3, 2, 3, 4, 2, 0, 4, 4, 3, 4, 2, 4, 4, 2, 1, 0, 3, 4, 3, 3, 3, 4, 0, 4, 4, 2, 0, 1, 2, 2, 2, 2, 3, 3, 0, 3, 1, 3, 3, 2, 4, 3, 1, 3, 2, 0, 3, 2, 2, 4, 1, 4, 3, 4, 0, 4, 1, 4, 3, 0, 0] pubkeycol1251 = [4, 0, 0, 4, 3, 1, 4, 3, 3, 2, 3, 1, 1, 2, 1, 1, 2, 2, 3, 3, 1, 2, 2, 0, 1, 2, 3, 2, 1, 4, 1, 3, 3, 4, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 3, 2, 3, 3, 2, 1, 2, 2, 3, 1, 0, 4, 4, 1, 0, 3, 0, 3, 3, 2, 1, 0, 4, 0, 4, 4, 0, 0, 1, 4, 4, 1, 1, 2, 4, 3, 4, 0, 1, 4, 1, 4, 3, 1, 1, 2, 4, 0, 0, 1, 1, 1, 4, 0, 3, 4, 2, 1, 0, 2, 3, 4, 1, 3, 2, 4, 0, 3, 4, 3, 1, 4, 1, 0, 4, 3, 3, 1, 4, 4, 2, 1, 0, 4, 3, 0, 1, 1, 0, 4, 2, 2, 3, 3, 3, 0, 3, 4, 3, 1, 3, 2, 4, 4, 0, 1, 2, 1, 1, 3, 1, 1, 3, 2, 1, 2, 4, 1, 2, 0, 4, 2, 0, 4, 1, 0, 1, 4, 0, 2, 4, 2, 4, 1, 0, 1, 0, 2, 2, 3, 0, 2, 0, 4, 0, 4, 4, 1, 4, 1, 4, 1, 3, 2, 0, 0, 4, 2, 3, 0, 4, 0, 4, 1, 3, 2, 4, 0, 4, 3, 2, 2, 4, 3, 2, 4, 3, 1, 4, 3, 0, 3, 3, 2, 4, 0, 0, 4, 2, 0, 4, 1, 0, 2, 3, 2, 1, 4, 3, 1, 1, 0, 2, 4, 2, 1, 3, 1, 4, 3, 3, 2, 1, 3, 3, 1, 1, 2, 2, 3, 4, 0, 3, 4, 2, 3, 1, 2, 3, 2, 2, 3, 2, 2, 4, 4, 4, 4, 1, 4, 4, 1, 2, 1, 4, 0, 1, 2, 3, 1, 3, 3, 4, 1, 3, 4, 2, 3, 4, 3, 2, 2, 2, 3, 4, 1, 2, 2, 1, 4, 3, 1, 1] pubkeycol1252 = [3, 4, 0, 1, 2, 3, 2, 4, 2, 4, 4, 3, 2, 1, 0, 0, 4, 1, 1, 1, 0, 3, 1, 2, 4, 3, 1, 4, 4, 4, 4, 4, 0, 4, 4, 3, 3, 3, 2, 4, 4, 2, 2, 0, 2, 3, 3, 2, 4, 0, 3, 0, 2, 4, 3, 3, 2, 4, 3, 1, 1, 0, 0, 0, 1, 3, 4, 2, 3, 2, 2, 2, 2, 3, 1, 0, 4, 2, 1, 4, 3, 2, 4, 4, 1, 0, 3, 3, 0, 2, 2, 4, 0, 3, 1, 4, 4, 4, 2, 3, 1, 2, 2, 0, 2, 0, 0, 0, 3, 4, 1, 3, 4, 4, 2, 4, 4, 1, 2, 1, 0, 2, 0, 2, 4, 0, 2, 0, 0, 2, 4, 1, 2, 1, 3, 2, 4, 0, 1, 1, 0, 1, 1, 0, 2, 0, 3, 1, 0, 3, 3, 3, 2, 1, 3, 4, 3, 3, 2, 1, 0, 4, 1, 2, 3, 2, 2, 0, 2, 3, 2, 0, 0, 2, 4, 1, 1, 1, 3, 1, 0, 1, 1, 0, 2, 4, 0, 4, 3, 0, 0, 1, 1, 2, 4, 1, 3, 4, 3, 3, 2, 4, 0, 4, 1, 4, 3, 0, 4, 0, 3, 0, 3, 1, 0, 1, 4, 1, 1, 4, 1, 3, 3, 0, 1, 0, 0, 1, 4, 0, 4, 3, 1, 1, 1, 0, 0, 0, 0, 3, 2, 0, 4, 1, 0, 1, 2, 3, 2, 1, 0, 1, 3, 1, 4, 1, 0, 2, 1, 0, 0, 1, 4, 1, 3, 2, 1, 3, 2, 2, 1, 3, 0, 4, 0, 4, 4, 4, 1, 4, 4, 3, 3, 0, 2, 4, 1, 3, 4, 3, 3, 4, 4, 1, 4, 1, 3, 2, 2, 3, 0, 3, 2, 4, 4, 0, 0, 3, 4, 4, 0, 3, 4, 3, 0, 4, 2, 1, 4, 2] pubkeycol1253 = [2, 4, 3, 1, 3, 0, 4, 0, 3, 1, 4, 3, 0, 2, 1, 0, 4, 4, 4, 3, 1, 2, 2, 1, 2, 1, 2, 2, 4, 3, 4, 3, 4, 4, 2, 0, 3, 2, 3, 4, 0, 3, 4, 0, 3, 4, 0, 1, 2, 4, 3, 1, 3, 4, 1, 4, 0, 0, 2, 3, 0, 0, 0, 4, 3, 4, 4, 2, 4, 0, 3, 0, 3, 3, 1, 3, 0, 4, 4, 3, 0, 3, 4, 0, 3, 4, 3, 3, 4, 3, 0, 1, 2, 2, 0, 0, 3, 2, 0, 3, 1, 4, 0, 1, 1, 2, 4, 4, 1, 2, 4, 0, 2, 2, 3, 2, 1, 0, 0, 2, 3, 1, 0, 2, 4, 0, 2, 0, 4, 2, 4, 2, 0, 3, 3, 2, 1, 3, 3, 4, 1, 0, 1, 4, 3, 2, 3, 0, 4, 3, 0, 4, 4, 4, 2, 3, 0, 1, 3, 2, 2, 2, 4, 0, 3, 0, 3, 3, 1, 4, 3, 3, 0, 1, 3, 0, 4, 2, 2, 1, 4, 3, 1, 3, 4, 0, 4, 1, 1, 0, 4, 0, 1, 3, 3, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 4, 3, 4, 0, 4, 0, 1, 0, 4, 2, 3, 1, 2, 4, 3, 4, 3, 1, 1, 4, 1, 2, 4, 4, 4, 1, 1, 0, 3, 4, 0, 1, 0, 1, 4, 2, 1, 2, 4, 3, 2, 0, 3, 4, 2, 0, 1, 0, 3, 3, 0, 1, 2, 4, 3, 4, 2, 1, 3, 3, 0, 4, 3, 3, 3, 0, 2, 1, 2, 2, 3, 2, 4, 1, 3, 1, 2, 1, 3, 1, 2, 1, 4, 0, 4, 4, 4, 0, 1, 1, 1, 4, 1, 3, 4, 0, 4, 4, 4, 3, 1, 3, 3, 3, 3, 2, 3, 0, 2, 1, 2, 3, 1, 4, 3] pubkeycol1254 = [1, 1, 1, 4, 3, 1, 3, 2, 2, 3, 0, 1, 2, 4, 2, 0, 1, 4, 3, 3, 2, 4, 1, 4, 4, 1, 0, 1, 1, 1, 1, 4, 3, 1, 2, 2, 4, 2, 3, 0, 3, 4, 2, 3, 4, 4, 2, 2, 3, 1, 0, 4, 3, 0, 2, 3, 2, 3, 3, 1, 0, 1, 4, 1, 4, 1, 0, 3, 3, 0, 2, 4, 4, 4, 0, 0, 0, 1, 4, 0, 4, 3, 2, 0, 2, 1, 2, 0, 1, 3, 0, 3, 0, 1, 3, 2, 2, 4, 2, 3, 1, 2, 3, 2, 4, 0, 2, 3, 3, 2, 2, 4, 0, 0, 2, 0, 3, 1, 2, 0, 0, 4, 4, 2, 0, 3, 0, 1, 0, 4, 4, 1, 0, 4, 4, 2, 3, 1, 4, 2, 1, 0, 3, 2, 1, 4, 0, 3, 3, 2, 2, 0, 4, 1, 2, 1, 2, 0, 1, 2, 3, 1, 0, 2, 0, 0, 1, 1, 3, 0, 1, 0, 3, 3, 3, 1, 2, 2, 1, 1, 3, 0, 0, 4, 0, 4, 3, 1, 0, 0, 1, 4, 0, 1, 1, 4, 3, 1, 4, 3, 4, 4, 2, 0, 2, 3, 1, 1, 1, 0, 3, 4, 3, 3, 4, 2, 2, 1, 3, 4, 3, 4, 4, 0, 4, 3, 1, 4, 2, 4, 0, 4, 1, 1, 2, 2, 4, 0, 2, 2, 1, 2, 1, 0, 4, 0, 3, 4, 2, 0, 2, 2, 1, 3, 1, 0, 1, 0, 3, 1, 3, 4, 2, 4, 3, 2, 1, 2, 1, 2, 4, 0, 3, 4, 0, 3, 2, 4, 3, 3, 0, 1, 2, 0, 3, 2, 4, 2, 2, 3, 2, 0, 0, 4, 4, 4, 0, 2, 0, 4, 4, 1, 2, 1, 4, 0, 2, 0, 1, 0, 4, 3, 1, 0, 3, 1, 1, 1, 0, 3] pubkeycol1255 = [4, 0, 1, 4, 3, 3, 3, 4, 1, 1, 0, 4, 2, 3, 2, 0, 2, 3, 2, 3, 0, 3, 1, 2, 1, 3, 1, 1, 2, 3, 0, 4, 4, 3, 2, 4, 0, 3, 1, 4, 0, 3, 3, 2, 2, 3, 1, 2, 0, 3, 0, 1, 1, 3, 2, 2, 0, 1, 4, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 4, 1, 1, 2, 1, 3, 4, 3, 1, 4, 2, 1, 1, 0, 0, 1, 3, 1, 4, 4, 2, 4, 0, 0, 4, 2, 1, 1, 4, 1, 1, 4, 0, 0, 3, 1, 4, 1, 0, 4, 2, 2, 3, 0, 4, 1, 2, 2, 4, 1, 1, 4, 2, 3, 2, 2, 2, 2, 4, 1, 4, 2, 2, 0, 3, 2, 3, 2, 1, 4, 1, 1, 1, 2, 2, 3, 1, 1, 4, 3, 4, 1, 1, 4, 3, 2, 3, 1, 1, 2, 0, 0, 2, 0, 4, 4, 0, 4, 3, 3, 3, 0, 1, 3, 2, 2, 0, 1, 4, 3, 2, 4, 4, 0, 2, 1, 1, 2, 4, 1, 4, 4, 0, 2, 1, 3, 1, 2, 3, 4, 1, 4, 4, 0, 2, 2, 2, 0, 1, 2, 4, 4, 2, 4, 0, 4, 4, 1, 3, 0, 0, 4, 3, 0, 3, 0, 1, 0, 1, 3, 2, 0, 1, 1, 2, 4, 4, 4, 3, 4, 4, 2, 2, 0, 1, 4, 1, 4, 2, 3, 1, 3, 2, 0, 2, 4, 2, 4, 1, 3, 0, 3, 4, 3, 1, 4, 0, 3, 4, 2, 4, 2, 3, 3, 2, 1, 4, 2, 0, 4, 4, 1, 3, 4, 4, 4, 2, 2, 2, 3, 1, 4, 4, 0, 4, 4, 4, 0, 1, 2, 0, 3, 3, 1, 3, 1, 3, 0, 2, 2, 2, 4, 4, 3, 0, 4, 2, 1] pubkeycol1256 = [3, 2, 0, 0, 4, 3, 0, 1, 0, 4, 1, 1, 1, 4, 1, 3, 2, 0, 0, 1, 3, 0, 4, 3, 4, 1, 0, 1, 0, 0, 2, 3, 3, 1, 2, 0, 3, 2, 3, 2, 4, 1, 2, 4, 2, 2, 3, 4, 4, 3, 4, 4, 4, 3, 1, 3, 1, 4, 3, 2, 0, 1, 2, 2, 4, 1, 1, 4, 0, 1, 4, 4, 0, 4, 3, 1, 0, 3, 3, 1, 4, 4, 2, 0, 1, 3, 0, 3, 2, 4, 4, 2, 0, 0, 1, 0, 4, 0, 0, 4, 4, 4, 3, 2, 4, 2, 1, 2, 3, 2, 3, 0, 3, 4, 2, 3, 0, 4, 4, 4, 2, 3, 2, 4, 0, 3, 2, 4, 0, 0, 2, 3, 4, 1, 0, 4, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 4, 1, 0, 3, 0, 2, 2, 4, 2, 0, 2, 3, 4, 0, 4, 0, 4, 4, 2, 4, 0, 3, 4, 2, 3, 1, 3, 3, 0, 1, 0, 1, 0, 2, 1, 0, 1, 3, 4, 1, 3, 0, 2, 2, 4, 3, 0, 3, 0, 2, 0, 3, 2, 3, 2, 1, 1, 2, 3, 4, 3, 4, 0, 0, 2, 4, 3, 1, 2, 0, 0, 1, 1, 4, 4, 3, 2, 2, 1, 2, 1, 1, 0, 2, 4, 1, 2, 3, 2, 2, 2, 0, 2, 2, 0, 3, 2, 3, 4, 4, 2, 1, 0, 0, 3, 3, 2, 2, 3, 1, 3, 3, 0, 2, 4, 3, 2, 3, 4, 0, 4, 2, 1, 1, 1, 1, 4, 4, 3, 1, 4, 4, 4, 0, 4, 3, 2, 1, 0, 1, 0, 4, 3, 1, 0, 2, 3, 2, 3, 1, 1, 4, 2, 4, 4, 4, 4, 3, 0, 0, 3, 1, 4, 1, 3, 2, 1, 0, 2, 2, 4, 2, 3] pubkeycol1257 = [1, 0, 0, 1, 2, 1, 4, 4, 2, 1, 0, 0, 0, 2, 1, 2, 3, 0, 0, 1, 1, 4, 3, 0, 3, 4, 2, 3, 1, 1, 2, 1, 4, 0, 0, 4, 1, 0, 0, 1, 1, 3, 0, 4, 1, 3, 3, 1, 2, 2, 2, 2, 3, 1, 0, 2, 3, 2, 3, 4, 3, 2, 0, 4, 3, 3, 3, 2, 1, 0, 3, 0, 1, 4, 3, 1, 1, 3, 3, 1, 3, 4, 1, 3, 4, 0, 4, 0, 2, 0, 3, 4, 0, 4, 2, 1, 1, 3, 4, 0, 1, 3, 0, 3, 1, 0, 3, 3, 3, 3, 1, 0, 4, 4, 2, 2, 3, 4, 3, 1, 0, 3, 0, 3, 4, 1, 0, 4, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 4, 4, 4, 3, 0, 4, 2, 1, 0, 1, 0, 0, 4, 1, 4, 0, 3, 0, 3, 0, 2, 0, 0, 3, 1, 2, 3, 0, 3, 3, 1, 1, 2, 0, 3, 1, 4, 0, 0, 4, 1, 3, 3, 1, 2, 4, 3, 0, 4, 1, 0, 2, 2, 4, 3, 3, 2, 1, 3, 0, 0, 4, 2, 4, 2, 3, 2, 3, 2, 2, 1, 1, 1, 0, 1, 1, 4, 2, 4, 2, 0, 1, 3, 2, 4, 3, 3, 1, 4, 2, 2, 2, 2, 2, 3, 4, 0, 1, 4, 1, 1, 1, 2, 2, 0, 3, 1, 1, 3, 0, 4, 3, 1, 4, 2, 3, 1, 3, 2, 3, 0, 3, 1, 3, 4, 4, 1, 2, 2, 3, 2, 0, 1, 2, 3, 3, 0, 3, 0, 4, 0, 3, 0, 4, 3, 2, 2, 0, 3, 2, 2, 0, 2, 3, 4, 0, 4, 0, 0, 0, 4, 0, 4, 0, 1, 1, 4, 2, 4, 2, 1, 0, 2, 1, 1, 2] pubkeycol1258 = [0, 2, 1, 2, 1, 0, 4, 4, 4, 0, 4, 1, 0, 4, 3, 4, 3, 4, 4, 1, 0, 3, 2, 1, 1, 3, 2, 3, 3, 1, 0, 2, 1, 0, 4, 0, 4, 3, 0, 0, 4, 2, 4, 4, 1, 4, 3, 2, 0, 1, 1, 4, 3, 2, 2, 4, 2, 0, 4, 3, 1, 4, 4, 2, 0, 1, 2, 1, 0, 4, 4, 2, 4, 4, 2, 4, 3, 2, 4, 4, 0, 4, 2, 0, 1, 0, 3, 3, 0, 3, 1, 0, 3, 2, 1, 4, 3, 1, 0, 0, 3, 2, 0, 4, 1, 0, 1, 3, 3, 0, 3, 0, 2, 4, 3, 3, 4, 4, 0, 2, 2, 4, 4, 4, 4, 0, 2, 4, 2, 2, 0, 3, 0, 4, 4, 1, 2, 4, 4, 0, 1, 4, 4, 0, 2, 1, 1, 0, 3, 3, 3, 4, 4, 3, 1, 0, 3, 0, 4, 4, 0, 1, 0, 3, 3, 0, 1, 4, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 3, 0, 4, 0, 4, 4, 1, 4, 1, 3, 4, 2, 3, 3, 3, 3, 2, 2, 3, 0, 1, 0, 2, 4, 1, 1, 1, 4, 4, 4, 2, 3, 3, 1, 3, 2, 4, 0, 3, 0, 3, 1, 1, 2, 2, 0, 0, 3, 4, 3, 4, 3, 3, 1, 2, 4, 1, 0, 0, 1, 1, 1, 4, 3, 2, 2, 2, 4, 0, 3, 2, 2, 1, 2, 2, 2, 3, 0, 4, 2, 3, 2, 2, 2, 0, 3, 0, 2, 4, 3, 4, 4, 3, 4, 3, 4, 2, 0, 3, 4, 3, 2, 1, 3, 4, 4, 2, 1, 1, 3, 0, 1, 0, 0, 0, 4, 3, 2, 2, 4, 2, 4, 3, 3, 4, 3, 3, 1, 0, 3, 4, 3, 3, 0, 3, 4, 0, 3, 4, 3, 4, 4] pubkeycol1259 = [3, 3, 3, 0, 4, 2, 1, 2, 2, 2, 1, 4, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 3, 0, 1, 3, 0, 4, 1, 3, 4, 2, 3, 4, 2, 0, 4, 4, 1, 4, 3, 0, 0, 1, 0, 4, 4, 4, 2, 3, 0, 3, 2, 2, 2, 0, 2, 0, 0, 3, 1, 1, 0, 0, 0, 4, 4, 0, 1, 4, 2, 0, 1, 2, 3, 2, 1, 0, 3, 4, 3, 4, 0, 0, 4, 2, 1, 0, 4, 3, 3, 4, 0, 2, 3, 0, 2, 1, 0, 3, 4, 1, 4, 1, 1, 2, 3, 1, 0, 4, 1, 0, 4, 4, 3, 1, 4, 2, 0, 2, 3, 0, 2, 3, 1, 0, 1, 0, 4, 1, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 0, 0, 3, 4, 0, 4, 3, 4, 3, 1, 4, 3, 1, 0, 3, 3, 0, 3, 3, 0, 4, 0, 2, 2, 3, 2, 1, 1, 4, 3, 2, 3, 2, 1, 0, 1, 0, 0, 2, 4, 4, 0, 4, 3, 1, 0, 4, 4, 0, 3, 0, 1, 4, 4, 0, 0, 2, 1, 3, 3, 4, 2, 3, 4, 2, 4, 3, 2, 1, 4, 3, 0, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 0, 3, 4, 4, 1, 0, 3, 2, 0, 4, 1, 3, 2, 4, 2, 2, 3, 1, 4, 1, 2, 2, 3, 4, 3, 3, 3, 3, 0, 4, 4, 0, 2, 2, 3, 2, 1, 2, 3, 2, 4, 3, 4, 3, 2, 3, 2, 1, 2, 0, 4, 1, 0, 3, 0, 0, 4, 0, 3, 3, 1, 4, 3, 1, 4, 2, 1, 2, 0, 2, 4, 2, 2, 4, 3, 1, 2, 2, 3, 3, 0, 3, 4, 0, 1, 3, 2, 1, 3, 1, 0, 1, 2] pubkeycol1260 = [3, 0, 1, 1, 3, 0, 2, 1, 3, 0, 1, 2, 4, 1, 4, 4, 3, 3, 0, 0, 4, 3, 1, 3, 4, 4, 0, 2, 4, 0, 2, 3, 2, 0, 1, 4, 4, 4, 3, 4, 4, 1, 1, 3, 4, 1, 2, 2, 1, 1, 3, 4, 3, 0, 1, 4, 3, 3, 2, 2, 3, 3, 2, 4, 2, 4, 1, 0, 3, 0, 4, 3, 1, 2, 3, 4, 4, 3, 0, 4, 4, 3, 4, 4, 1, 0, 4, 1, 0, 2, 3, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 3, 0, 3, 0, 3, 2, 1, 1, 4, 4, 4, 0, 0, 3, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 4, 4, 2, 4, 4, 2, 4, 1, 2, 4, 1, 2, 3, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 4, 1, 0, 2, 3, 2, 4, 4, 4, 0, 1, 2, 1, 3, 1, 1, 2, 2, 0, 0, 1, 1, 3, 4, 2, 4, 3, 4, 4, 2, 0, 3, 1, 4, 1, 1, 2, 0, 3, 2, 2, 2, 2, 3, 0, 2, 0, 1, 0, 4, 0, 3, 0, 4, 2, 0, 4, 2, 1, 2, 0, 3, 3, 2, 2, 1, 1, 2, 3, 4, 2, 1, 4, 0, 2, 4, 3, 2, 1, 4, 3, 1, 4, 1, 2, 0, 3, 1, 3, 4, 3, 2, 0, 2, 2, 2, 3, 1, 3, 1, 3, 3, 2, 2, 4, 2, 3, 2, 0, 1, 4, 1, 3, 0, 2, 3, 0, 4, 3, 1, 2, 3, 1, 0, 4, 4, 2, 3, 2, 3, 4, 1, 1, 1, 2, 0, 1, 1, 4, 2, 2, 2, 3, 3, 4, 0, 4, 4, 0, 2, 2, 1, 3, 0, 3, 1, 0, 0, 3, 4, 3, 3, 0, 1, 2, 3, 3] pubkeycol1261 = [2, 3, 3, 0, 2, 4, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 3, 2, 0, 3, 4, 3, 4, 0, 0, 2, 2, 2, 1, 1, 2, 4, 2, 3, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 4, 1, 4, 3, 2, 0, 4, 0, 1, 4, 2, 0, 4, 1, 2, 0, 3, 3, 2, 0, 3, 0, 3, 4, 4, 0, 2, 1, 1, 0, 2, 0, 1, 0, 3, 4, 1, 4, 2, 0, 4, 4, 1, 2, 0, 3, 2, 1, 4, 3, 3, 4, 2, 1, 2, 3, 2, 1, 0, 1, 0, 3, 4, 1, 4, 0, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 2, 2, 2, 2, 1, 3, 4, 1, 1, 4, 0, 4, 0, 2, 1, 2, 3, 4, 2, 2, 3, 4, 1, 2, 1, 1, 4, 2, 2, 0, 1, 3, 4, 3, 4, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 3, 3, 2, 0, 4, 4, 1, 1, 3, 2, 0, 1, 3, 4, 3, 3, 3, 3, 2, 3, 3, 1, 1, 2, 1, 3, 2, 0, 1, 3, 0, 1, 0, 2, 1, 1, 0, 4, 3, 2, 1, 0, 0, 2, 2, 1, 2, 0, 4, 4, 4, 3, 1, 0, 2, 1, 2, 2, 4, 1, 2, 0, 3, 2, 4, 0, 0, 0, 2, 4, 3, 3, 1, 2, 0, 0, 4, 2, 1, 1, 3, 1, 3, 0, 4, 3, 1, 2, 3, 4, 1, 4, 4, 3, 4, 3, 2, 1, 0, 3, 0, 1, 2, 0, 2, 3, 0, 3, 3, 4, 3, 3, 3, 4, 3, 0, 2, 4, 0, 2, 0, 0, 4, 2, 4, 2, 2, 3, 0, 4, 3, 0, 3, 2, 2, 3, 1, 1, 4, 1, 2, 3, 3, 0, 4, 2, 1] pubkeycol1262 = [1, 1, 4, 2, 4, 2, 1, 0, 4, 0, 4, 4, 2, 4, 3, 4, 2, 2, 0, 4, 2, 2, 2, 3, 3, 0, 3, 4, 0, 3, 1, 4, 2, 1, 0, 3, 3, 0, 0, 4, 0, 2, 1, 0, 1, 3, 2, 4, 1, 3, 0, 0, 2, 2, 0, 1, 0, 1, 1, 3, 4, 4, 4, 4, 3, 3, 4, 3, 1, 1, 2, 3, 4, 3, 1, 1, 4, 3, 2, 0, 1, 0, 0, 2, 0, 4, 2, 0, 2, 4, 2, 0, 3, 3, 4, 1, 4, 2, 3, 1, 1, 4, 1, 1, 1, 0, 4, 4, 4, 3, 0, 1, 0, 4, 1, 2, 2, 3, 2, 3, 3, 4, 1, 4, 2, 4, 1, 4, 1, 3, 4, 1, 4, 1, 0, 1, 3, 1, 2, 4, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 3, 4, 0, 4, 4, 4, 1, 2, 0, 2, 2, 4, 0, 1, 4, 1, 1, 2, 4, 2, 3, 4, 2, 2, 0, 4, 1, 3, 1, 3, 2, 0, 3, 3, 2, 1, 2, 1, 2, 0, 4, 0, 0, 3, 0, 3, 4, 2, 0, 4, 0, 4, 4, 3, 1, 3, 2, 1, 2, 4, 4, 3, 4, 1, 4, 4, 1, 0, 4, 0, 4, 1, 2, 2, 3, 0, 4, 4, 4, 4, 3, 3, 0, 2, 3, 0, 3, 1, 3, 4, 3, 1, 0, 4, 0, 2, 4, 3, 0, 4, 1, 3, 4, 1, 4, 2, 4, 0, 2, 2, 3, 1, 4, 4, 2, 4, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 4, 1, 1, 1, 4, 2, 0, 4, 1, 4, 0, 0, 1, 4, 1, 1, 0, 1, 2, 0, 0, 3, 3, 1, 0, 2, 2, 2, 4, 3, 1, 3, 3, 4, 4, 3, 4, 1, 1, 2, 3, 2, 1] pubkeycol1263 = [1, 3, 1, 4, 3, 4, 3, 0, 3, 2, 0, 0, 3, 4, 0, 4, 3, 2, 2, 4, 0, 3, 1, 0, 2, 4, 3, 2, 1, 2, 4, 2, 4, 1, 1, 4, 4, 0, 3, 4, 2, 1, 2, 2, 1, 0, 4, 0, 4, 1, 4, 3, 0, 2, 4, 1, 0, 4, 4, 1, 3, 3, 2, 2, 1, 2, 0, 2, 2, 3, 0, 4, 1, 3, 0, 3, 4, 3, 2, 3, 1, 4, 3, 4, 0, 3, 0, 3, 3, 2, 2, 2, 3, 2, 3, 3, 3, 1, 0, 0, 4, 1, 1, 4, 3, 4, 3, 1, 0, 3, 1, 3, 3, 1, 0, 2, 3, 2, 1, 1, 3, 2, 4, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 2, 4, 2, 3, 1, 1, 3, 4, 4, 3, 1, 3, 2, 4, 3, 4, 1, 1, 4, 2, 0, 1, 4, 1, 1, 3, 1, 3, 0, 3, 3, 2, 4, 2, 2, 1, 2, 4, 4, 2, 2, 0, 1, 4, 1, 2, 3, 3, 4, 2, 2, 2, 2, 3, 0, 0, 0, 1, 2, 0, 2, 3, 4, 1, 3, 0, 3, 3, 4, 4, 1, 1, 4, 0, 1, 1, 0, 2, 0, 3, 1, 4, 0, 0, 3, 4, 2, 4, 3, 2, 1, 1, 4, 4, 3, 3, 3, 4, 4, 2, 4, 1, 0, 3, 0, 4, 2, 3, 0, 0, 1, 3, 0, 3, 1, 2, 0, 1, 4, 0, 3, 0, 0, 4, 3, 0, 2, 3, 1, 1, 1, 4, 3, 4, 3, 3, 2, 2, 4, 2, 1, 3, 4, 4, 1, 3, 4, 0, 1, 0, 3, 4, 3, 4, 3, 4, 1, 4, 2, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 1, 1, 3, 4, 3, 0, 0, 4, 0] pubkeycol1264 = [4, 4, 0, 0, 2, 0, 0, 1, 3, 2, 0, 4, 4, 1, 4, 3, 3, 3, 4, 3, 0, 4, 2, 4, 4, 2, 3, 0, 2, 3, 0, 3, 0, 4, 2, 1, 2, 0, 4, 3, 4, 4, 0, 0, 1, 0, 3, 0, 0, 1, 0, 1, 1, 4, 3, 3, 1, 4, 0, 1, 0, 4, 0, 3, 2, 2, 2, 0, 1, 4, 0, 4, 2, 1, 1, 1, 1, 0, 4, 1, 4, 4, 4, 3, 1, 2, 3, 2, 2, 4, 1, 0, 2, 0, 2, 3, 3, 4, 1, 2, 2, 3, 4, 1, 2, 4, 1, 3, 1, 2, 2, 1, 3, 3, 1, 3, 0, 3, 0, 0, 4, 2, 1, 1, 1, 1, 1, 3, 0, 3, 1, 3, 4, 2, 2, 1, 0, 3, 2, 3, 2, 0, 2, 2, 3, 2, 4, 3, 1, 3, 3, 4, 3, 2, 0, 4, 3, 3, 1, 1, 2, 3, 3, 3, 2, 1, 0, 3, 0, 1, 2, 2, 3, 4, 2, 1, 1, 1, 4, 1, 4, 2, 2, 3, 2, 1, 4, 2, 1, 3, 3, 0, 0, 4, 4, 4, 0, 1, 4, 0, 4, 1, 3, 4, 1, 2, 2, 4, 0, 2, 0, 3, 4, 1, 0, 2, 4, 0, 4, 1, 0, 4, 1, 2, 1, 2, 2, 0, 0, 1, 3, 2, 0, 2, 3, 1, 1, 4, 0, 1, 0, 0, 3, 3, 0, 1, 4, 0, 0, 4, 3, 1, 1, 4, 4, 0, 0, 3, 1, 3, 3, 0, 1, 2, 4, 0, 2, 2, 2, 0, 0, 1, 1, 4, 4, 2, 3, 2, 1, 2, 1, 4, 3, 4, 0, 3, 2, 3, 0, 2, 4, 3, 0, 0, 0, 4, 0, 0, 4, 2, 1, 0, 3, 1, 4, 4, 1, 3, 4, 3, 2, 0, 2, 4, 3, 1, 0, 0, 0, 0] pubkeycol1265 = [1, 0, 2, 4, 0, 4, 3, 4, 4, 1, 0, 4, 0, 3, 2, 3, 3, 4, 3, 1, 0, 3, 0, 3, 2, 1, 3, 3, 4, 0, 4, 2, 0, 1, 4, 2, 1, 4, 2, 3, 1, 4, 0, 0, 4, 4, 1, 0, 0, 0, 4, 1, 1, 3, 2, 0, 2, 0, 4, 3, 2, 2, 4, 0, 4, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 1, 1, 1, 1, 0, 0, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 1, 3, 2, 1, 3, 4, 1, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 1, 2, 4, 2, 2, 3, 1, 2, 1, 3, 3, 0, 2, 4, 0, 0, 1, 1, 4, 3, 0, 4, 1, 2, 2, 3, 4, 3, 0, 2, 1, 3, 2, 0, 1, 0, 0, 3, 1, 0, 0, 3, 0, 3, 2, 2, 1, 2, 4, 3, 2, 4, 1, 1, 4, 1, 1, 2, 3, 2, 2, 1, 2, 3, 2, 4, 3, 1, 4, 1, 0, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 1, 3, 3, 1, 3, 1, 4, 2, 1, 1, 4, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 3, 4, 2, 4, 4, 2, 0, 2, 0, 3, 4, 3, 3, 1, 1, 4, 4, 4, 2, 2, 2, 0, 2, 2, 1, 3, 1, 2, 4, 3, 0, 3, 1, 2, 1, 1, 4, 4, 4, 4, 3, 0, 2, 3, 3, 1, 3, 3, 0, 0, 1, 3, 3, 4, 4, 2, 2, 3, 0, 3, 0, 2, 3, 3, 0, 1, 3, 1, 0, 0, 2, 3, 3, 2, 3, 1, 0, 0, 4, 2, 3, 1, 4, 1, 0, 0, 0, 3, 2, 4, 2, 4, 1, 0, 1, 2, 3, 4, 2, 3, 0, 0, 1, 3, 0] pubkeycol1266 = [0, 4, 2, 2, 2, 2, 3, 4, 3, 4, 0, 3, 0, 3, 1, 3, 4, 3, 0, 4, 4, 0, 3, 3, 3, 1, 4, 4, 2, 4, 1, 1, 1, 2, 3, 0, 4, 0, 0, 1, 3, 2, 4, 4, 4, 4, 1, 4, 3, 3, 2, 2, 1, 1, 4, 0, 2, 1, 1, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 1, 2, 1, 1, 1, 3, 4, 1, 2, 2, 3, 0, 0, 4, 0, 4, 3, 3, 1, 2, 4, 1, 3, 1, 2, 2, 2, 4, 1, 4, 2, 2, 4, 0, 3, 2, 2, 0, 4, 4, 1, 4, 1, 4, 1, 1, 4, 2, 1, 4, 2, 0, 4, 3, 3, 2, 0, 3, 3, 2, 2, 0, 0, 1, 1, 3, 0, 3, 4, 3, 3, 0, 2, 1, 2, 2, 4, 3, 2, 0, 4, 1, 2, 2, 3, 3, 0, 3, 4, 2, 0, 4, 2, 3, 3, 4, 0, 4, 1, 2, 3, 4, 4, 0, 0, 0, 3, 3, 0, 3, 4, 4, 4, 2, 3, 1, 2, 2, 2, 0, 2, 0, 2, 1, 3, 4, 2, 2, 4, 0, 2, 0, 2, 4, 1, 1, 0, 1, 2, 0, 3, 0, 0, 2, 4, 3, 3, 2, 1, 2, 4, 4, 2, 1, 4, 1, 4, 3, 1, 2, 1, 2, 0, 3, 0, 1, 4, 0, 0, 3, 2, 0, 4, 0, 2, 4, 1, 4, 4, 4, 1, 4, 1, 0, 4, 3, 2, 3, 0, 2, 1, 4, 1, 3, 0, 0, 2, 2, 3, 3, 1, 3, 1, 0, 2, 1, 4, 3, 2, 0, 3, 3, 1, 0, 2, 0, 3, 3, 3, 0, 2, 3, 4, 2, 2, 0, 2, 1, 2, 4, 3, 2, 1, 1, 4, 3, 2, 2, 4, 3, 0, 3, 0, 2, 0, 2, 2, 2, 2, 0, 4] pubkeycol1267 = [0, 0, 2, 2, 4, 3, 2, 2, 4, 2, 1, 1, 2, 2, 3, 3, 0, 4, 1, 2, 0, 3, 4, 1, 1, 4, 3, 4, 0, 2, 3, 1, 0, 4, 2, 2, 0, 3, 2, 2, 3, 4, 2, 2, 0, 0, 3, 3, 0, 4, 4, 4, 2, 3, 0, 4, 3, 3, 1, 1, 3, 4, 4, 2, 2, 0, 4, 2, 0, 3, 4, 3, 3, 3, 1, 1, 0, 3, 1, 3, 1, 2, 2, 4, 4, 2, 4, 3, 3, 3, 0, 1, 4, 3, 0, 3, 2, 4, 3, 2, 1, 0, 1, 4, 3, 4, 3, 2, 0, 1, 1, 4, 2, 4, 4, 4, 3, 1, 4, 2, 3, 2, 3, 1, 2, 0, 4, 4, 3, 0, 3, 3, 0, 4, 2, 4, 2, 3, 4, 1, 0, 0, 3, 3, 4, 0, 0, 2, 4, 4, 4, 4, 2, 3, 1, 1, 3, 4, 4, 2, 3, 1, 0, 4, 0, 3, 0, 2, 2, 3, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 1, 2, 2, 2, 2, 1, 2, 2, 0, 3, 0, 0, 0, 3, 1, 3, 3, 4, 0, 1, 1, 0, 2, 3, 0, 4, 1, 2, 1, 2, 2, 1, 3, 3, 4, 4, 4, 0, 2, 0, 2, 1, 3, 4, 3, 2, 1, 3, 1, 3, 2, 2, 2, 3, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 3, 0, 4, 2, 1, 2, 4, 3, 1, 3, 0, 3, 3, 0, 0, 1, 0, 3, 2, 2, 1, 1, 2, 1, 4, 1, 0, 0, 1, 4, 4, 0, 0, 3, 0, 1, 2, 1, 3, 3, 4, 4, 1, 2, 2, 2, 4, 4, 0, 2, 0, 1, 3, 0, 4, 0, 1, 2, 3, 3, 2, 0, 3, 3, 1, 4, 0, 2, 0, 4, 2, 4, 1, 1] pubkeycol1268 = [0, 2, 4, 3, 2, 2, 1, 1, 3, 1, 4, 0, 1, 2, 0, 1, 4, 2, 2, 4, 3, 4, 2, 4, 4, 0, 4, 2, 2, 3, 0, 2, 4, 3, 4, 4, 2, 4, 3, 3, 2, 3, 0, 4, 0, 0, 1, 4, 1, 0, 0, 0, 1, 1, 4, 0, 2, 2, 1, 1, 3, 0, 3, 4, 0, 3, 4, 1, 2, 4, 2, 3, 2, 4, 2, 0, 4, 0, 2, 3, 3, 3, 1, 2, 2, 2, 1, 0, 0, 3, 4, 0, 4, 3, 3, 1, 0, 0, 0, 1, 4, 0, 4, 2, 1, 0, 2, 1, 2, 3, 4, 1, 4, 1, 3, 1, 4, 0, 4, 0, 1, 1, 0, 1, 1, 0, 3, 4, 0, 4, 0, 1, 4, 4, 1, 4, 2, 0, 4, 1, 1, 0, 3, 0, 4, 1, 2, 1, 0, 0, 0, 4, 0, 4, 1, 2, 0, 2, 3, 3, 4, 3, 2, 3, 4, 0, 3, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 3, 0, 0, 4, 2, 0, 3, 1, 2, 1, 2, 0, 0, 4, 2, 2, 0, 0, 1, 0, 2, 4, 0, 2, 2, 3, 4, 0, 0, 3, 1, 2, 3, 2, 1, 0, 4, 3, 2, 1, 1, 1, 0, 0, 2, 3, 4, 0, 2, 0, 4, 4, 3, 3, 4, 1, 4, 4, 0, 0, 1, 1, 4, 0, 3, 4, 1, 3, 1, 3, 0, 3, 0, 1, 1, 1, 0, 4, 3, 0, 0, 3, 1, 0, 3, 1, 1, 3, 4, 1, 0, 3, 4, 4, 2, 1, 4, 0, 3, 4, 1, 1, 0, 2, 2, 4, 0, 1, 0, 4, 2, 3, 4, 2, 2, 3, 1, 1, 4, 0, 4, 3, 4, 0, 0, 0, 3, 4, 3, 1, 0, 4, 1, 2] pubkeycol1269 = [4, 3, 1, 2, 0, 0, 3, 0, 2, 4, 4, 0, 0, 1, 3, 1, 2, 2, 4, 2, 0, 0, 1, 2, 1, 4, 1, 3, 0, 1, 4, 4, 0, 1, 0, 1, 1, 2, 4, 4, 3, 4, 0, 3, 2, 1, 4, 0, 2, 2, 3, 1, 1, 1, 1, 0, 0, 3, 3, 2, 3, 4, 0, 4, 1, 1, 3, 0, 3, 3, 3, 3, 3, 4, 4, 1, 4, 0, 4, 0, 3, 3, 2, 1, 2, 0, 4, 4, 0, 4, 0, 3, 3, 4, 4, 3, 2, 1, 1, 3, 0, 2, 1, 2, 4, 4, 1, 4, 1, 3, 1, 0, 4, 1, 0, 0, 0, 1, 2, 1, 3, 2, 4, 2, 1, 1, 0, 2, 1, 4, 2, 2, 1, 0, 0, 3, 1, 0, 2, 4, 0, 1, 3, 4, 1, 2, 0, 0, 1, 0, 2, 2, 4, 3, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 4, 4, 2, 2, 4, 3, 3, 4, 0, 2, 3, 4, 3, 2, 1, 4, 3, 2, 2, 3, 3, 1, 3, 3, 0, 1, 4, 4, 1, 2, 1, 3, 3, 0, 3, 2, 4, 4, 2, 0, 4, 1, 1, 3, 1, 1, 2, 1, 3, 4, 0, 0, 2, 4, 2, 1, 1, 0, 3, 2, 2, 1, 0, 4, 3, 3, 1, 3, 0, 0, 1, 4, 2, 4, 1, 4, 1, 2, 1, 3, 0, 0, 2, 3, 3, 4, 0, 1, 1, 1, 4, 3, 3, 1, 0, 0, 3, 3, 2, 2, 2, 1, 3, 1, 0, 2, 3, 0, 3, 0, 0, 0, 2, 2, 2, 2, 4, 0, 3, 3, 4, 1, 4, 4, 1, 3, 0, 1, 0, 0, 1, 1, 3, 2, 2, 3, 0, 4, 0, 3, 1, 2, 3, 1, 3, 3, 3, 1, 2, 1] pubkeycol1270 = [1, 4, 1, 1, 3, 2, 4, 1, 0, 1, 3, 3, 1, 2, 3, 4, 2, 2, 0, 3, 2, 2, 0, 2, 4, 0, 2, 2, 0, 3, 2, 3, 0, 0, 0, 4, 1, 4, 1, 0, 1, 4, 3, 3, 3, 4, 3, 1, 3, 3, 2, 1, 4, 0, 3, 4, 4, 0, 3, 4, 2, 4, 4, 3, 1, 4, 0, 4, 3, 2, 3, 0, 1, 2, 1, 2, 4, 2, 1, 0, 1, 1, 3, 1, 3, 1, 4, 4, 2, 1, 3, 4, 2, 3, 1, 1, 3, 4, 3, 3, 3, 4, 0, 4, 4, 1, 1, 4, 2, 0, 4, 2, 0, 4, 2, 2, 2, 1, 1, 2, 4, 1, 2, 0, 1, 2, 3, 2, 3, 3, 1, 2, 0, 4, 2, 4, 3, 0, 2, 3, 0, 0, 0, 3, 2, 3, 4, 1, 0, 2, 0, 1, 4, 0, 2, 1, 4, 3, 3, 0, 2, 3, 2, 1, 3, 0, 3, 2, 2, 1, 1, 1, 4, 4, 4, 1, 4, 0, 0, 1, 1, 1, 1, 4, 1, 1, 4, 4, 3, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 4, 4, 3, 4, 4, 4, 1, 2, 2, 2, 4, 4, 3, 0, 3, 3, 4, 3, 3, 0, 1, 4, 3, 0, 0, 0, 2, 1, 2, 0, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 4, 0, 1, 2, 1, 0, 3, 3, 4, 2, 0, 3, 2, 1, 0, 0, 1, 3, 4, 0, 1, 3, 4, 0, 3, 2, 3, 3, 2, 2, 3, 1, 4, 0, 0, 4, 0, 4, 1, 3, 1, 0, 4, 3, 3, 3, 1, 1, 0, 1, 0, 0, 0, 3, 0, 3, 1, 2, 4, 0, 0, 1, 0, 3, 3, 4, 4, 0, 2, 0, 1, 3, 1, 1, 2, 0, 4, 0, 4, 1, 3] pubkeycol1271 = [0, 3, 0, 2, 2, 4, 2, 3, 3, 1, 4, 3, 0, 0, 4, 4, 1, 4, 0, 3, 1, 4, 2, 4, 4, 2, 0, 2, 4, 4, 3, 2, 2, 0, 4, 1, 2, 2, 4, 1, 1, 1, 1, 2, 1, 0, 4, 1, 1, 4, 1, 2, 0, 4, 0, 3, 3, 2, 1, 4, 4, 3, 2, 4, 1, 3, 3, 2, 1, 4, 1, 1, 2, 0, 2, 4, 4, 2, 4, 1, 2, 2, 3, 2, 4, 2, 2, 1, 3, 4, 1, 0, 1, 2, 1, 0, 3, 3, 4, 2, 2, 0, 4, 3, 2, 0, 2, 0, 1, 0, 2, 0, 3, 3, 1, 3, 3, 2, 1, 1, 1, 2, 2, 3, 1, 0, 3, 3, 0, 0, 4, 4, 0, 4, 0, 2, 3, 4, 2, 3, 0, 4, 3, 4, 3, 1, 3, 0, 0, 0, 2, 3, 2, 1, 3, 0, 2, 2, 0, 0, 0, 3, 0, 2, 0, 1, 2, 4, 1, 0, 1, 3, 4, 3, 4, 2, 1, 2, 0, 1, 1, 1, 0, 3, 1, 0, 1, 3, 1, 4, 4, 4, 3, 1, 4, 2, 1, 4, 1, 1, 0, 0, 0, 4, 1, 2, 0, 3, 1, 2, 4, 4, 4, 2, 2, 0, 0, 0, 2, 4, 3, 1, 3, 0, 3, 3, 3, 0, 2, 1, 3, 4, 1, 1, 4, 1, 3, 3, 3, 0, 2, 0, 1, 0, 3, 2, 0, 4, 0, 2, 0, 4, 1, 0, 2, 4, 1, 4, 4, 4, 2, 1, 1, 3, 3, 3, 3, 4, 0, 0, 2, 0, 0, 2, 1, 0, 3, 2, 2, 3, 1, 3, 4, 2, 0, 2, 3, 4, 4, 1, 0, 1, 2, 0, 2, 2, 3, 0, 3, 0, 3, 1, 2, 3, 0, 3, 3, 4, 2, 4, 1, 2, 2, 1, 0, 0, 0, 1, 4, 0] pubkeycol1272 = [3, 2, 0, 2, 4, 1, 2, 4, 4, 4, 3, 4, 2, 2, 0, 1, 4, 2, 0, 4, 0, 4, 1, 0, 1, 3, 0, 1, 0, 4, 1, 0, 2, 1, 0, 4, 0, 2, 4, 0, 2, 4, 4, 1, 0, 0, 4, 2, 0, 4, 2, 2, 1, 3, 3, 0, 4, 2, 0, 4, 2, 1, 2, 2, 0, 2, 0, 4, 0, 3, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 1, 1, 1, 4, 2, 0, 3, 2, 0, 4, 0, 0, 4, 3, 1, 0, 3, 0, 3, 4, 2, 3, 3, 3, 3, 4, 3, 0, 2, 3, 3, 3, 0, 3, 3, 3, 2, 1, 0, 2, 0, 2, 2, 2, 2, 4, 3, 4, 3, 0, 0, 1, 2, 3, 0, 0, 1, 0, 2, 3, 0, 4, 4, 0, 3, 2, 3, 0, 3, 3, 2, 2, 0, 2, 4, 1, 1, 1, 3, 0, 3, 4, 4, 3, 2, 3, 0, 0, 1, 1, 3, 2, 0, 4, 0, 3, 1, 3, 0, 3, 3, 3, 1, 2, 1, 0, 2, 1, 0, 1, 4, 2, 4, 3, 1, 1, 1, 1, 4, 2, 4, 0, 2, 4, 3, 3, 3, 1, 2, 4, 1, 3, 2, 0, 3, 1, 2, 4, 3, 0, 1, 4, 4, 2, 2, 1, 3, 2, 0, 3, 4, 1, 0, 0, 1, 3, 4, 4, 0, 4, 0, 4, 0, 0, 2, 4, 3, 1, 4, 3, 2, 3, 2, 1, 2, 2, 2, 0, 3, 3, 4, 2, 3, 0, 3, 3, 2, 4, 1, 2, 1, 3, 0, 1, 1, 1, 4, 0, 0, 3, 4, 4, 2, 0, 0, 0, 2, 4, 1, 0, 3, 1, 3, 1, 2, 2, 0, 2, 2, 3, 1, 3, 4, 4, 4, 3, 4, 3, 4, 4, 1, 4, 4, 4, 4, 2, 3, 1] pubkeycol1273 = [2, 2, 3, 1, 3, 3, 0, 0, 4, 0, 4, 4, 3, 3, 0, 0, 4, 4, 4, 1, 1, 4, 4, 0, 1, 0, 2, 4, 4, 2, 3, 3, 0, 4, 1, 3, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 3, 3, 2, 3, 1, 4, 2, 1, 1, 4, 2, 3, 4, 4, 2, 1, 0, 0, 3, 0, 1, 2, 4, 4, 2, 4, 1, 2, 0, 2, 0, 4, 0, 1, 2, 3, 0, 2, 0, 1, 0, 1, 0, 4, 0, 1, 1, 4, 3, 2, 3, 0, 1, 1, 1, 2, 3, 0, 2, 0, 2, 4, 0, 2, 0, 3, 2, 4, 2, 3, 0, 3, 2, 3, 0, 3, 1, 0, 4, 4, 4, 0, 4, 4, 4, 0, 2, 4, 1, 3, 1, 1, 4, 4, 2, 0, 0, 3, 0, 0, 2, 1, 0, 3, 0, 4, 3, 1, 4, 1, 3, 4, 3, 3, 2, 3, 2, 3, 4, 2, 4, 1, 4, 1, 0, 1, 4, 3, 3, 4, 3, 1, 0, 2, 4, 3, 1, 4, 4, 3, 4, 1, 1, 4, 0, 3, 3, 2, 1, 0, 1, 4, 3, 1, 1, 4, 4, 4, 1, 3, 3, 1, 0, 3, 2, 2, 3, 1, 4, 1, 1, 4, 2, 4, 4, 1, 4, 2, 2, 0, 2, 2, 4, 2, 3, 4, 4, 2, 2, 4, 3, 4, 2, 4, 1, 0, 2, 2, 3, 1, 0, 2, 0, 1, 2, 3, 1, 4, 1, 1, 0, 0, 4, 1, 0, 0, 1, 4, 2, 2, 1, 2, 3, 4, 2, 4, 3, 2, 1, 3, 2, 4, 2, 4, 0, 1, 2, 0, 1, 1, 1, 0, 0, 4, 1, 0, 1, 1, 0, 0, 3, 4, 0, 4, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 4, 0, 0, 3, 1, 2, 3, 3] pubkeycol1274 = [1, 3, 0, 1, 4, 4, 2, 4, 0, 2, 4, 0, 4, 2, 1, 1, 3, 3, 3, 1, 2, 3, 1, 1, 3, 3, 0, 4, 0, 3, 3, 0, 2, 1, 2, 3, 0, 2, 2, 1, 4, 2, 0, 1, 4, 1, 2, 0, 0, 0, 2, 3, 4, 2, 4, 2, 2, 4, 1, 0, 1, 0, 4, 0, 4, 0, 2, 0, 2, 2, 4, 1, 1, 4, 0, 4, 0, 3, 0, 2, 3, 3, 4, 0, 0, 4, 2, 3, 1, 4, 1, 2, 0, 3, 1, 4, 4, 1, 4, 1, 0, 1, 3, 3, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 3, 1, 3, 0, 2, 1, 1, 1, 2, 3, 4, 4, 1, 2, 1, 0, 4, 1, 0, 3, 1, 3, 0, 1, 1, 4, 1, 1, 4, 3, 2, 4, 2, 2, 3, 3, 2, 3, 0, 0, 0, 3, 1, 1, 0, 2, 0, 0, 3, 0, 0, 3, 3, 0, 0, 1, 4, 3, 2, 3, 1, 1, 0, 4, 4, 3, 2, 2, 2, 1, 0, 1, 0, 0, 1, 4, 3, 2, 1, 3, 1, 3, 4, 1, 0, 0, 0, 4, 3, 4, 2, 2, 3, 2, 1, 0, 0, 2, 1, 3, 4, 1, 3, 1, 4, 2, 0, 2, 3, 3, 0, 0, 4, 0, 2, 2, 1, 2, 4, 2, 4, 0, 0, 4, 1, 2, 3, 3, 2, 1, 0, 4, 2, 0, 2, 2, 4, 0, 4, 3, 2, 1, 3, 1, 1, 2, 1, 1, 2, 2, 1, 4, 1, 0, 1, 1, 2, 4, 2, 0, 3, 3, 2, 3, 2, 4, 1, 1, 3, 1, 2, 4, 0, 3, 0, 3, 1, 4, 0, 1, 4, 3, 3, 0, 4, 4, 3, 1, 4, 1, 3, 4, 4, 1, 2, 1, 1, 3, 2, 1, 4, 0] pubkeycol1275 = [0, 3, 2, 0, 0, 3, 3, 1, 0, 3, 2, 2, 0, 4, 4, 0, 0, 2, 3, 2, 2, 3, 1, 4, 3, 1, 0, 4, 1, 3, 1, 3, 4, 2, 4, 2, 0, 0, 3, 3, 4, 4, 2, 1, 3, 3, 1, 1, 2, 4, 3, 2, 2, 4, 4, 2, 4, 0, 4, 3, 4, 4, 0, 1, 2, 0, 2, 3, 1, 2, 0, 3, 1, 4, 4, 1, 2, 2, 0, 3, 1, 1, 0, 1, 1, 0, 2, 1, 2, 4, 3, 2, 1, 4, 0, 2, 4, 0, 0, 1, 2, 0, 2, 2, 2, 0, 4, 2, 0, 4, 3, 0, 0, 4, 4, 1, 2, 0, 1, 4, 4, 0, 3, 1, 0, 0, 0, 3, 3, 3, 4, 1, 0, 1, 4, 0, 4, 1, 4, 3, 4, 4, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 0, 4, 2, 0, 1, 1, 3, 4, 3, 3, 3, 4, 3, 4, 2, 1, 4, 2, 3, 4, 3, 2, 0, 4, 4, 0, 1, 2, 0, 4, 0, 4, 4, 2, 1, 1, 3, 1, 4, 0, 4, 3, 1, 0, 2, 3, 2, 1, 2, 0, 0, 1, 3, 0, 3, 1, 1, 0, 2, 2, 4, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 3, 4, 3, 0, 0, 1, 1, 0, 2, 2, 2, 4, 4, 4, 2, 1, 4, 4, 1, 3, 1, 0, 0, 4, 2, 4, 3, 2, 4, 1, 0, 2, 1, 0, 0, 3, 1, 4, 4, 4, 4, 2, 3, 1, 0, 3, 3, 3, 2, 3, 0, 1, 3, 1, 0, 1, 0, 0, 4, 4, 1, 3, 0, 3, 1, 0, 1, 4, 0, 3, 0, 0, 1, 1, 0, 2, 0, 1, 3, 4, 2, 2, 4, 3, 2, 3, 2, 2, 4, 1, 2, 0, 0, 3, 4, 4] pubkeycol1276 = [3, 3, 1, 2, 4, 2, 1, 3, 3, 4, 3, 4, 1, 2, 2, 4, 1, 1, 4, 2, 0, 3, 1, 2, 2, 1, 1, 3, 3, 1, 0, 4, 4, 0, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 3, 0, 0, 1, 1, 2, 2, 2, 4, 3, 3, 2, 4, 3, 4, 4, 3, 4, 0, 3, 0, 3, 3, 1, 4, 1, 2, 1, 2, 2, 4, 3, 1, 4, 1, 3, 2, 2, 0, 2, 2, 1, 2, 1, 3, 3, 1, 0, 2, 3, 0, 3, 0, 3, 4, 4, 1, 3, 4, 4, 2, 0, 4, 1, 4, 1, 3, 4, 2, 3, 1, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 2, 2, 3, 0, 3, 4, 3, 2, 4, 0, 2, 4, 2, 4, 2, 3, 2, 0, 3, 0, 4, 1, 4, 2, 1, 0, 0, 1, 2, 0, 3, 2, 0, 1, 1, 4, 3, 3, 2, 4, 2, 4, 0, 2, 0, 4, 2, 3, 2, 1, 3, 4, 1, 2, 4, 4, 3, 0, 3, 0, 3, 3, 1, 2, 1, 3, 0, 2, 1, 4, 4, 4, 4, 3, 4, 0, 0, 4, 2, 4, 1, 4, 4, 0, 1, 0, 4, 2, 3, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 3, 1, 0, 3, 0, 4, 4, 2, 3, 3, 4, 0, 0, 2, 3, 3, 3, 4, 4, 4, 2, 1, 4, 1, 4, 2, 4, 1, 2, 4, 0, 3, 2, 3, 4, 3, 4, 3, 2, 2, 3, 0, 3, 0, 4, 3, 3, 2, 4, 2, 4, 1, 4, 2, 1, 2, 1, 4, 0, 2, 0, 3, 3, 2, 1, 0, 4, 1, 2, 2, 4, 3, 4, 4, 4, 4, 3, 4, 0, 2, 3, 3, 2, 0, 3, 2, 0, 0, 3, 2, 1, 4, 3, 3] pubkeycol1277 = [3, 4, 4, 3, 4, 1, 1, 4, 1, 4, 3, 0, 3, 3, 1, 4, 2, 3, 0, 3, 3, 0, 0, 1, 4, 1, 0, 4, 4, 4, 3, 0, 0, 3, 2, 4, 4, 2, 2, 2, 3, 0, 1, 2, 1, 3, 2, 4, 3, 2, 3, 3, 2, 2, 1, 1, 3, 1, 4, 2, 3, 0, 1, 0, 1, 1, 3, 0, 3, 0, 0, 3, 4, 2, 0, 1, 1, 3, 3, 2, 1, 0, 0, 4, 3, 2, 0, 4, 3, 2, 1, 3, 1, 1, 3, 3, 3, 4, 3, 2, 3, 1, 0, 2, 4, 4, 0, 3, 4, 1, 1, 3, 0, 0, 3, 4, 1, 0, 4, 1, 1, 0, 3, 2, 4, 3, 4, 4, 0, 3, 1, 1, 3, 3, 4, 3, 0, 2, 4, 2, 4, 4, 3, 1, 1, 4, 2, 3, 2, 1, 2, 4, 2, 2, 0, 3, 3, 2, 3, 3, 4, 0, 3, 0, 0, 4, 3, 0, 1, 4, 3, 4, 4, 4, 2, 1, 4, 0, 2, 1, 2, 3, 3, 2, 2, 0, 3, 4, 3, 2, 0, 3, 1, 1, 1, 4, 3, 1, 3, 4, 3, 3, 4, 3, 4, 1, 2, 0, 4, 0, 4, 1, 3, 4, 1, 4, 0, 0, 1, 1, 3, 0, 4, 1, 1, 4, 4, 1, 0, 0, 3, 3, 1, 4, 4, 4, 0, 2, 0, 1, 1, 0, 2, 0, 0, 3, 0, 0, 1, 1, 3, 0, 4, 3, 2, 4, 3, 0, 1, 2, 3, 4, 1, 2, 0, 2, 4, 4, 1, 1, 3, 2, 4, 4, 4, 2, 1, 0, 3, 0, 3, 3, 2, 2, 4, 3, 4, 3, 3, 2, 0, 0, 0, 4, 1, 3, 2, 4, 1, 0, 2, 2, 4, 1, 1, 2, 0, 4, 2, 3, 1, 2, 2, 0, 1, 3, 2, 2, 3, 1] pubkeycol1278 = [3, 4, 4, 3, 0, 2, 3, 4, 2, 3, 0, 4, 3, 4, 2, 2, 2, 2, 4, 3, 3, 3, 4, 4, 2, 0, 3, 2, 1, 1, 0, 1, 0, 4, 2, 2, 0, 1, 3, 1, 0, 4, 2, 3, 1, 3, 3, 1, 0, 3, 4, 3, 2, 2, 1, 4, 3, 1, 0, 2, 2, 1, 2, 0, 3, 4, 3, 0, 3, 4, 4, 2, 2, 4, 2, 4, 2, 0, 0, 4, 1, 2, 4, 1, 4, 0, 4, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 4, 2, 2, 3, 1, 0, 4, 0, 2, 0, 3, 1, 0, 0, 1, 2, 4, 3, 4, 4, 2, 1, 3, 1, 2, 4, 0, 2, 1, 3, 0, 0, 1, 2, 1, 2, 4, 4, 3, 0, 3, 0, 0, 2, 4, 1, 1, 2, 4, 0, 3, 4, 2, 4, 2, 2, 0, 4, 2, 1, 1, 1, 0, 3, 0, 3, 3, 2, 2, 0, 1, 2, 1, 3, 2, 1, 4, 4, 2, 0, 2, 0, 2, 2, 3, 2, 3, 0, 1, 0, 3, 0, 0, 2, 1, 1, 1, 4, 2, 2, 0, 2, 4, 0, 2, 0, 1, 1, 1, 1, 4, 3, 1, 1, 1, 4, 4, 2, 1, 1, 4, 1, 4, 2, 3, 0, 0, 1, 1, 3, 1, 1, 2, 3, 4, 2, 3, 3, 3, 3, 0, 0, 0, 1, 3, 2, 0, 1, 3, 4, 4, 0, 1, 4, 3, 4, 3, 0, 4, 3, 0, 0, 3, 0, 0, 1, 0, 4, 1, 3, 1, 1, 1, 1, 1, 0, 1, 4, 4, 4, 2, 2, 2, 2, 2, 3, 1, 4, 4, 0, 4, 2, 4, 4, 0, 0, 1, 1, 0, 1, 4, 1, 2, 4, 1, 4, 2, 3, 4, 2, 2, 4, 3, 2, 0, 0, 3, 0, 3, 1] pubkeycol1279 = [2, 3, 2, 3, 3, 0, 0, 4, 3, 3, 3, 4, 4, 1, 2, 2, 3, 4, 4, 4, 2, 2, 4, 2, 0, 3, 1, 2, 0, 3, 2, 0, 1, 1, 1, 1, 0, 3, 0, 0, 3, 3, 4, 4, 4, 2, 2, 3, 3, 2, 0, 0, 1, 1, 4, 1, 1, 1, 3, 4, 3, 4, 1, 0, 4, 3, 1, 1, 2, 1, 4, 2, 0, 3, 0, 2, 2, 4, 3, 3, 4, 2, 3, 2, 1, 1, 1, 2, 2, 0, 3, 2, 1, 3, 2, 1, 4, 0, 0, 1, 3, 3, 0, 1, 3, 4, 2, 1, 2, 2, 2, 1, 1, 2, 4, 0, 3, 2, 0, 3, 4, 0, 2, 3, 0, 2, 0, 4, 2, 3, 4, 3, 4, 4, 0, 2, 4, 0, 0, 2, 4, 4, 4, 3, 1, 2, 2, 1, 2, 3, 1, 0, 1, 2, 4, 4, 0, 0, 0, 4, 0, 2, 0, 1, 4, 1, 0, 4, 4, 0, 1, 2, 3, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 3, 4, 1, 1, 2, 4, 2, 3, 0, 1, 4, 1, 4, 4, 0, 3, 2, 1, 3, 0, 2, 3, 4, 2, 4, 4, 2, 3, 2, 4, 0, 0, 4, 3, 1, 0, 1, 3, 1, 2, 3, 4, 3, 3, 0, 2, 4, 3, 4, 1, 4, 0, 0, 1, 1, 4, 0, 1, 2, 0, 4, 3, 0, 2, 2, 1, 2, 1, 2, 2, 3, 4, 4, 3, 2, 4, 4, 2, 2, 0, 4, 0, 1, 1, 4, 3, 3, 4, 4, 1, 1, 4, 1, 0, 1, 3, 0, 1, 0, 2, 4, 1, 3, 2, 0, 2, 1, 4, 1, 3, 0, 1, 4, 4, 0, 3, 0, 4, 2, 4, 0, 0, 0, 0, 4, 2, 3, 0, 1, 2, 1, 3, 0, 3, 3, 0] pubkeycol1280 = [0, 4, 0, 0, 2, 1, 0, 0, 2, 4, 0, 2, 4, 4, 4, 3, 3, 1, 4, 0, 0, 1, 3, 4, 2, 2, 3, 3, 2, 2, 4, 0, 4, 3, 1, 0, 0, 3, 2, 2, 2, 0, 3, 0, 2, 1, 3, 2, 3, 2, 4, 3, 3, 3, 1, 4, 2, 0, 1, 1, 1, 3, 0, 1, 0, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 4, 1, 3, 4, 2, 2, 2, 3, 2, 2, 4, 0, 4, 2, 1, 2, 2, 1, 4, 4, 4, 4, 1, 4, 4, 0, 0, 4, 0, 2, 1, 3, 2, 0, 0, 4, 2, 1, 0, 2, 4, 4, 3, 0, 2, 4, 3, 0, 3, 4, 1, 1, 2, 0, 0, 2, 0, 1, 4, 0, 0, 4, 1, 3, 2, 0, 1, 3, 3, 1, 2, 1, 4, 2, 4, 2, 3, 2, 2, 4, 4, 3, 2, 2, 2, 4, 3, 3, 4, 2, 0, 3, 3, 1, 3, 3, 4, 1, 2, 3, 0, 2, 0, 0, 4, 1, 4, 1, 4, 4, 1, 4, 0, 4, 1, 1, 4, 4, 2, 2, 3, 4, 2, 0, 3, 3, 0, 3, 3, 3, 3, 4, 2, 4, 1, 0, 4, 4, 2, 2, 3, 3, 1, 3, 4, 3, 4, 4, 3, 2, 1, 2, 4, 4, 3, 4, 2, 4, 0, 0, 0, 4, 4, 1, 3, 1, 4, 0, 0, 3, 0, 2, 3, 0, 2, 4, 2, 1, 1, 4, 2, 4, 0, 4, 3, 4, 4, 1, 3, 4, 0, 1, 1, 1, 1, 2, 0, 2, 4, 0, 3, 4, 0, 2, 1, 3, 2, 4, 3, 2, 0, 4, 2, 4, 0, 3, 2, 0, 4, 2, 3, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 1, 2, 3, 3, 1, 3, 1, 4, 3, 4, 0, 0, 0, 3] pubkeycol1281 = [2, 0, 2, 1, 2, 0, 4, 3, 1, 4, 2, 4, 2, 0, 2, 4, 2, 4, 3, 4, 2, 3, 1, 0, 0, 1, 3, 0, 2, 1, 3, 0, 0, 3, 2, 1, 0, 4, 3, 3, 2, 4, 3, 3, 1, 3, 2, 3, 1, 4, 3, 0, 2, 3, 1, 4, 2, 3, 1, 2, 0, 2, 2, 1, 3, 4, 0, 2, 3, 0, 0, 1, 0, 3, 1, 2, 1, 0, 3, 3, 0, 2, 0, 0, 4, 0, 2, 0, 2, 2, 4, 2, 1, 3, 4, 1, 4, 1, 1, 0, 3, 4, 0, 0, 3, 4, 3, 0, 4, 0, 2, 4, 0, 0, 2, 2, 0, 4, 3, 0, 2, 1, 2, 0, 3, 1, 1, 2, 1, 4, 3, 2, 2, 1, 3, 2, 3, 3, 2, 4, 0, 2, 0, 1, 2, 0, 3, 3, 1, 2, 3, 4, 3, 3, 2, 0, 4, 0, 3, 0, 0, 3, 2, 3, 4, 4, 4, 2, 1, 1, 3, 4, 3, 4, 4, 2, 3, 4, 2, 0, 2, 0, 0, 0, 2, 0, 4, 4, 3, 2, 3, 2, 0, 0, 2, 4, 1, 0, 4, 1, 2, 2, 4, 4, 2, 3, 3, 0, 2, 3, 0, 3, 0, 0, 0, 4, 4, 3, 4, 2, 3, 2, 4, 1, 0, 4, 3, 3, 1, 4, 4, 4, 4, 0, 3, 4, 0, 0, 0, 1, 0, 2, 3, 3, 4, 4, 0, 3, 0, 2, 1, 3, 1, 1, 1, 3, 2, 0, 0, 4, 3, 2, 3, 3, 0, 0, 3, 4, 0, 1, 1, 0, 2, 2, 4, 0, 2, 0, 1, 4, 2, 1, 1, 4, 0, 0, 3, 1, 0, 3, 2, 0, 2, 4, 3, 0, 4, 0, 2, 2, 2, 2, 2, 4, 2, 2, 3, 3, 3, 1, 2, 2, 0, 0, 1, 4, 1, 0, 1, 3] pubkeycol1282 = [4, 3, 3, 0, 0, 2, 2, 0, 1, 3, 3, 1, 3, 0, 2, 1, 0, 0, 4, 0, 4, 1, 2, 1, 2, 1, 0, 4, 4, 0, 0, 2, 0, 2, 3, 2, 0, 3, 2, 3, 1, 3, 4, 4, 0, 4, 3, 1, 4, 1, 3, 3, 3, 4, 4, 1, 1, 4, 0, 4, 1, 1, 3, 2, 1, 1, 0, 3, 0, 4, 2, 4, 1, 3, 4, 4, 2, 0, 1, 0, 1, 1, 0, 2, 1, 3, 1, 1, 3, 0, 3, 1, 4, 2, 0, 3, 4, 3, 0, 4, 0, 1, 2, 3, 1, 3, 2, 4, 2, 3, 0, 0, 3, 0, 0, 2, 4, 0, 0, 1, 4, 1, 0, 4, 1, 3, 2, 3, 0, 4, 4, 3, 0, 2, 1, 4, 3, 0, 4, 1, 3, 2, 1, 0, 2, 1, 3, 4, 4, 2, 3, 3, 2, 1, 2, 3, 2, 3, 4, 2, 4, 3, 4, 0, 0, 2, 1, 3, 2, 3, 2, 1, 3, 1, 3, 1, 0, 0, 0, 3, 0, 0, 2, 2, 4, 4, 3, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 0, 4, 4, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 3, 0, 0, 2, 3, 0, 4, 1, 1, 3, 1, 2, 0, 1, 0, 4, 1, 1, 2, 1, 3, 0, 4, 3, 2, 4, 2, 4, 3, 4, 4, 2, 3, 0, 2, 0, 2, 0, 3, 2, 0, 1, 4, 2, 1, 3, 3, 0, 4, 3, 2, 1, 4, 0, 1, 4, 3, 3, 1, 3, 4, 2, 1, 4, 4, 1, 3, 3, 4, 1, 4, 2, 2, 1, 4, 0, 1, 0, 3, 0, 4, 0, 4, 3, 4, 0, 3, 4, 4, 3, 4, 4, 0, 0, 1, 3, 1, 0, 4, 1, 4, 2, 4, 2, 3, 0, 3, 1] pubkeycol1283 = [3, 1, 4, 2, 1, 4, 3, 0, 2, 3, 1, 0, 3, 2, 0, 3, 4, 1, 1, 3, 3, 1, 3, 3, 4, 0, 0, 3, 1, 3, 1, 3, 3, 0, 1, 1, 0, 1, 3, 3, 0, 1, 4, 2, 4, 0, 3, 4, 3, 3, 4, 4, 0, 1, 0, 4, 2, 3, 1, 3, 2, 0, 0, 1, 3, 1, 0, 4, 4, 1, 1, 2, 3, 4, 1, 1, 0, 0, 1, 0, 3, 1, 4, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 4, 0, 1, 2, 3, 2, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 3, 4, 3, 0, 2, 4, 4, 0, 0, 4, 1, 4, 2, 2, 2, 3, 1, 2, 1, 4, 4, 4, 1, 4, 0, 0, 1, 1, 2, 2, 3, 2, 4, 0, 3, 1, 2, 4, 3, 1, 0, 0, 3, 3, 3, 3, 0, 0, 3, 2, 4, 4, 3, 3, 1, 3, 3, 2, 2, 4, 0, 3, 4, 4, 4, 3, 3, 2, 4, 3, 3, 2, 1, 2, 2, 2, 2, 2, 1, 4, 0, 0, 3, 2, 1, 3, 3, 0, 3, 4, 0, 3, 1, 3, 4, 0, 0, 4, 4, 1, 4, 0, 2, 4, 0, 1, 3, 0, 3, 3, 2, 1, 0, 3, 0, 1, 2, 1, 1, 1, 3, 3, 2, 0, 4, 0, 0, 0, 2, 2, 3, 3, 0, 1, 2, 4, 4, 1, 2, 3, 3, 1, 0, 0, 3, 0, 2, 0, 4, 0, 3, 3, 4, 2, 4, 1, 2, 0, 1, 1, 4, 4, 3, 1, 4, 3, 4, 3, 3, 0, 4, 4, 4, 1, 3, 2, 2, 1, 4, 4, 3, 3, 1, 2, 1, 3, 4, 3, 1, 3, 1, 1, 0, 1, 0, 1, 1, 0, 3, 2, 0, 0, 4, 4, 0, 1, 0, 0, 1] pubkeycol1284 = [0, 2, 1, 1, 1, 4, 0, 0, 4, 2, 2, 0, 1, 4, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 3, 1, 4, 2, 3, 3, 1, 2, 4, 3, 1, 4, 0, 0, 4, 3, 4, 3, 0, 4, 0, 1, 0, 0, 4, 3, 1, 3, 3, 2, 2, 1, 4, 1, 4, 4, 1, 0, 3, 4, 2, 0, 2, 1, 2, 3, 3, 3, 0, 4, 3, 3, 1, 0, 3, 3, 1, 3, 3, 4, 3, 4, 3, 3, 0, 3, 2, 3, 0, 1, 2, 2, 2, 1, 0, 3, 4, 2, 3, 3, 4, 1, 3, 3, 1, 0, 0, 3, 1, 2, 2, 0, 4, 4, 0, 1, 1, 4, 2, 3, 4, 1, 2, 3, 1, 4, 2, 1, 0, 0, 0, 2, 2, 4, 0, 0, 1, 2, 2, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 1, 2, 4, 2, 0, 2, 4, 4, 2, 0, 3, 3, 4, 2, 2, 0, 2, 0, 0, 3, 0, 2, 3, 4, 3, 4, 4, 2, 0, 3, 3, 0, 3, 4, 1, 4, 4, 1, 3, 3, 1, 1, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 3, 0, 3, 1, 3, 0, 2, 2, 1, 2, 3, 2, 2, 1, 1, 3, 4, 3, 2, 4, 2, 4, 4, 1, 3, 4, 0, 1, 4, 2, 3, 4, 1, 3, 0, 1, 3, 2, 4, 3, 3, 3, 1, 4, 0, 0, 1, 0, 4, 0, 1, 1, 1, 0, 2, 1, 0, 0, 3, 4, 1, 1, 0, 2, 0, 2, 2, 1, 4, 1, 1, 3, 1, 0, 1, 2, 2, 3, 3, 0, 0, 1, 1, 0, 4, 3, 3, 4, 4, 0, 0, 4, 1, 2, 2, 0, 1, 0, 4] pubkeycol1285 = [1, 4, 2, 0, 0, 1, 3, 0, 1, 3, 1, 1, 0, 4, 2, 1, 1, 4, 2, 3, 1, 2, 2, 3, 1, 2, 0, 3, 3, 1, 4, 1, 3, 3, 1, 1, 1, 4, 1, 0, 4, 0, 3, 2, 2, 1, 1, 2, 4, 4, 4, 1, 3, 2, 2, 2, 2, 0, 3, 1, 3, 0, 3, 0, 2, 3, 2, 4, 2, 3, 4, 0, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 2, 4, 1, 2, 2, 1, 1, 1, 2, 0, 3, 2, 2, 4, 1, 3, 4, 1, 0, 4, 3, 3, 0, 0, 3, 4, 3, 0, 2, 1, 0, 0, 3, 3, 4, 3, 3, 4, 2, 0, 4, 4, 1, 4, 3, 0, 2, 4, 0, 1, 0, 3, 3, 4, 1, 4, 1, 1, 2, 2, 3, 1, 4, 3, 4, 1, 0, 3, 0, 2, 0, 0, 2, 2, 4, 3, 1, 3, 0, 3, 1, 3, 4, 4, 0, 2, 3, 0, 1, 3, 4, 4, 4, 3, 1, 1, 2, 0, 1, 0, 4, 0, 4, 2, 4, 2, 1, 0, 4, 1, 1, 4, 2, 3, 1, 1, 0, 0, 4, 2, 2, 0, 4, 0, 2, 3, 0, 1, 1, 3, 3, 3, 3, 1, 0, 4, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 3, 1, 3, 4, 4, 1, 0, 4, 3, 4, 1, 1, 4, 2, 2, 3, 2, 0, 2, 4, 3, 1, 2, 0, 3, 1, 2, 1, 4, 4, 4, 4, 1, 4, 0, 3, 2, 2, 3, 2, 3, 3, 4, 0, 1, 4, 1, 4, 4, 0, 4, 0, 0, 0, 3, 4, 3, 4, 0, 0, 2, 0, 4, 1, 2, 3, 2, 3, 2, 1, 4, 0, 2, 4, 3, 2, 1, 0, 1, 0, 0, 3, 2] pubkeycol1286 = [4, 1, 2, 2, 3, 3, 2, 1, 0, 0, 3, 2, 3, 4, 1, 3, 1, 1, 4, 3, 1, 0, 1, 0, 1, 3, 0, 0, 4, 0, 4, 0, 0, 0, 0, 1, 0, 3, 2, 4, 0, 1, 1, 1, 3, 3, 0, 3, 1, 3, 2, 1, 3, 1, 3, 0, 3, 3, 0, 1, 4, 0, 3, 2, 1, 2, 0, 2, 1, 3, 3, 2, 0, 0, 0, 1, 0, 1, 3, 4, 2, 2, 2, 2, 4, 2, 0, 0, 2, 0, 2, 0, 0, 2, 3, 2, 0, 3, 4, 4, 0, 1, 4, 1, 0, 3, 4, 2, 0, 3, 3, 4, 2, 1, 2, 3, 3, 2, 4, 1, 2, 3, 4, 0, 1, 3, 0, 1, 3, 4, 2, 0, 2, 4, 3, 0, 2, 0, 3, 2, 2, 0, 1, 4, 2, 1, 2, 2, 3, 4, 0, 4, 3, 1, 0, 1, 2, 4, 4, 3, 2, 2, 3, 3, 4, 3, 0, 0, 1, 3, 2, 2, 0, 1, 0, 3, 1, 1, 0, 1, 3, 4, 0, 3, 2, 2, 1, 2, 4, 3, 1, 1, 3, 2, 3, 4, 3, 2, 3, 2, 4, 0, 0, 1, 2, 4, 3, 0, 2, 2, 4, 0, 2, 2, 2, 1, 0, 3, 2, 3, 4, 3, 3, 3, 0, 1, 2, 4, 4, 0, 2, 1, 1, 2, 0, 0, 1, 1, 3, 1, 4, 3, 1, 1, 3, 1, 0, 4, 1, 1, 2, 2, 0, 4, 2, 0, 3, 1, 2, 3, 3, 0, 3, 0, 4, 4, 1, 1, 4, 2, 2, 2, 4, 1, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 4, 2, 1, 4, 0, 1, 1, 1, 2, 1, 1, 0, 4, 3, 0, 0, 2, 1, 3, 0, 2, 4, 1, 2, 1, 4, 1, 2, 4, 2, 0, 3, 1, 3, 0] pubkeycol1287 = [0, 1, 3, 3, 4, 3, 1, 0, 4, 2, 2, 4, 3, 3, 4, 4, 2, 3, 1, 0, 4, 2, 2, 4, 4, 0, 0, 2, 3, 0, 1, 0, 1, 1, 0, 0, 3, 0, 1, 0, 2, 0, 3, 2, 0, 3, 3, 2, 2, 0, 0, 3, 4, 1, 3, 1, 2, 3, 1, 2, 0, 1, 2, 4, 1, 4, 2, 1, 2, 0, 0, 2, 0, 3, 3, 4, 3, 1, 0, 4, 4, 4, 1, 1, 0, 2, 1, 3, 0, 4, 0, 3, 3, 3, 3, 0, 4, 4, 1, 0, 3, 4, 4, 2, 1, 1, 2, 1, 1, 3, 4, 2, 0, 3, 4, 4, 1, 1, 4, 1, 0, 4, 2, 3, 2, 3, 3, 3, 0, 1, 3, 4, 1, 1, 3, 2, 0, 0, 4, 2, 4, 4, 0, 1, 0, 4, 0, 3, 0, 0, 1, 4, 2, 3, 1, 1, 0, 0, 4, 2, 2, 2, 3, 0, 3, 1, 1, 4, 0, 0, 0, 1, 3, 1, 3, 4, 1, 4, 3, 4, 3, 4, 3, 2, 4, 2, 4, 0, 4, 4, 0, 4, 0, 1, 4, 0, 2, 4, 2, 2, 4, 2, 0, 2, 0, 1, 4, 3, 2, 0, 1, 0, 2, 3, 1, 4, 0, 3, 3, 0, 3, 4, 3, 4, 3, 1, 3, 2, 1, 4, 3, 3, 2, 2, 0, 3, 1, 2, 0, 1, 0, 0, 4, 4, 1, 0, 1, 2, 3, 3, 4, 0, 3, 1, 4, 4, 0, 4, 0, 3, 3, 1, 4, 4, 0, 1, 1, 0, 4, 4, 4, 3, 1, 3, 1, 1, 4, 3, 3, 2, 4, 0, 3, 3, 3, 2, 3, 4, 4, 4, 1, 2, 4, 3, 1, 1, 1, 3, 2, 1, 2, 3, 4, 4, 4, 3, 1, 2, 1, 1, 3, 4, 1, 0, 0, 0, 3, 3, 4, 4] pubkeycol1288 = [3, 0, 4, 2, 2, 2, 1, 4, 3, 4, 1, 3, 2, 3, 4, 3, 3, 1, 2, 2, 4, 1, 4, 4, 0, 1, 1, 1, 4, 3, 1, 3, 3, 4, 3, 1, 3, 0, 0, 1, 0, 0, 1, 3, 4, 4, 2, 1, 1, 0, 4, 4, 0, 3, 4, 0, 2, 0, 2, 3, 1, 0, 4, 0, 0, 3, 4, 0, 1, 0, 3, 1, 3, 0, 3, 4, 2, 1, 3, 0, 3, 3, 2, 2, 2, 2, 2, 4, 0, 3, 1, 1, 0, 0, 4, 2, 3, 1, 2, 0, 2, 1, 4, 0, 2, 3, 1, 2, 1, 2, 0, 0, 3, 4, 4, 4, 2, 3, 3, 2, 4, 0, 1, 4, 1, 2, 3, 3, 2, 2, 4, 2, 2, 3, 4, 1, 2, 4, 3, 4, 0, 1, 4, 4, 0, 0, 2, 4, 4, 1, 0, 4, 1, 1, 4, 0, 1, 3, 2, 0, 4, 4, 2, 3, 3, 3, 2, 4, 2, 1, 1, 0, 3, 1, 3, 1, 4, 4, 2, 2, 2, 1, 4, 0, 3, 3, 1, 2, 4, 0, 1, 4, 1, 3, 2, 4, 4, 2, 2, 4, 3, 1, 3, 2, 2, 1, 2, 0, 2, 2, 4, 4, 3, 3, 0, 2, 4, 2, 4, 1, 0, 2, 1, 1, 0, 1, 2, 4, 2, 2, 2, 4, 4, 4, 0, 2, 4, 2, 3, 3, 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 3, 4, 3, 2, 1, 2, 3, 1, 3, 0, 0, 3, 0, 0, 4, 0, 2, 4, 2, 1, 0, 3, 2, 4, 3, 1, 0, 4, 1, 0, 0, 0, 2, 4, 4, 4, 2, 3, 2, 1, 0, 2, 3, 2, 3, 2, 0, 2, 2, 3, 0, 4, 4, 2, 0, 4, 0, 0, 3, 3, 0, 1, 1, 0, 0, 1, 2, 3, 3, 3] pubkeycol1289 = [1, 4, 3, 1, 3, 2, 0, 3, 2, 0, 0, 0, 3, 1, 0, 3, 0, 3, 3, 2, 0, 4, 1, 3, 0, 2, 2, 4, 4, 3, 0, 2, 2, 3, 3, 3, 0, 3, 0, 4, 3, 0, 1, 0, 1, 1, 4, 4, 1, 2, 1, 2, 0, 1, 2, 4, 3, 3, 1, 2, 0, 0, 3, 2, 1, 2, 2, 3, 2, 1, 3, 0, 4, 3, 3, 2, 3, 0, 2, 4, 2, 4, 2, 4, 3, 0, 1, 3, 0, 1, 2, 2, 2, 1, 3, 0, 0, 4, 4, 1, 4, 3, 2, 0, 1, 2, 4, 0, 2, 1, 1, 2, 3, 1, 2, 0, 3, 1, 0, 1, 0, 4, 3, 0, 3, 2, 4, 3, 1, 3, 0, 3, 1, 0, 1, 1, 3, 2, 4, 2, 4, 3, 2, 1, 2, 2, 0, 4, 0, 2, 4, 1, 1, 3, 4, 4, 0, 3, 0, 1, 0, 3, 1, 2, 3, 4, 2, 2, 4, 0, 3, 0, 4, 1, 4, 3, 4, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 3, 3, 3, 4, 0, 1, 4, 4, 0, 2, 1, 2, 1, 3, 3, 0, 3, 3, 1, 3, 3, 4, 0, 4, 3, 4, 0, 1, 3, 0, 4, 1, 2, 0, 4, 1, 0, 2, 4, 3, 1, 3, 0, 2, 2, 1, 1, 1, 2, 0, 3, 4, 3, 3, 3, 2, 1, 3, 0, 3, 1, 2, 4, 1, 1, 1, 0, 0, 2, 3, 1, 3, 0, 4, 4, 1, 3, 0, 2, 2, 1, 1, 3, 1, 3, 0, 4, 3, 3, 4, 3, 0, 2, 4, 3, 1, 2, 3, 2, 1, 0, 3, 0, 1, 4, 4, 2, 4, 4, 4, 2, 3, 0, 4, 1, 1, 1, 4, 2, 4, 4, 1, 3, 1, 3, 3, 2, 1, 0, 0, 3, 0, 1] pubkeycol1290 = [1, 1, 2, 0, 2, 2, 2, 3, 4, 4, 2, 2, 0, 4, 3, 0, 1, 4, 4, 4, 3, 4, 3, 2, 1, 0, 2, 0, 3, 1, 0, 1, 2, 4, 3, 0, 0, 0, 3, 2, 2, 4, 2, 0, 0, 2, 4, 0, 1, 4, 0, 3, 1, 0, 2, 0, 4, 1, 4, 1, 0, 3, 3, 0, 4, 4, 3, 3, 2, 2, 0, 4, 2, 0, 4, 2, 2, 2, 0, 3, 2, 3, 4, 0, 0, 2, 3, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 3, 1, 3, 2, 0, 4, 4, 1, 1, 4, 0, 4, 1, 4, 4, 3, 2, 1, 2, 0, 3, 2, 2, 1, 1, 1, 3, 0, 4, 0, 3, 1, 0, 1, 0, 2, 2, 2, 4, 4, 4, 2, 2, 2, 1, 0, 0, 0, 3, 2, 2, 1, 0, 3, 1, 0, 4, 0, 2, 0, 3, 1, 1, 0, 2, 2, 1, 4, 0, 4, 2, 2, 0, 2, 4, 0, 4, 3, 3, 2, 1, 2, 0, 4, 2, 1, 0, 0, 3, 4, 4, 0, 1, 0, 1, 3, 4, 4, 1, 0, 4, 2, 3, 1, 3, 1, 1, 4, 0, 2, 3, 1, 4, 2, 0, 2, 0, 3, 4, 0, 1, 0, 0, 0, 1, 2, 4, 1, 3, 3, 0, 4, 1, 0, 0, 2, 4, 3, 4, 1, 0, 4, 3, 4, 1, 1, 1, 0, 0, 3, 3, 2, 2, 3, 0, 2, 2, 1, 2, 0, 1, 3, 4, 3, 2, 3, 4, 1, 3, 2, 0, 3, 3, 3, 0, 0, 1, 3, 2, 0, 0, 0, 3, 3, 4, 2, 0, 4, 2, 3, 2, 0, 3, 4, 3, 2, 3, 4, 3, 2, 2, 2, 4, 3, 1, 0, 1, 1, 4, 2, 2, 3, 3, 4, 3, 0, 2, 4, 1, 4, 1, 4, 3] pubkeycol1291 = [2, 3, 4, 3, 1, 1, 4, 1, 2, 4, 2, 2, 4, 4, 0, 0, 3, 0, 1, 3, 2, 0, 0, 3, 3, 2, 1, 4, 3, 3, 2, 1, 0, 1, 4, 3, 0, 3, 2, 0, 3, 3, 2, 3, 2, 2, 1, 3, 1, 4, 2, 1, 0, 4, 4, 0, 4, 4, 2, 1, 1, 4, 2, 3, 2, 0, 4, 3, 3, 2, 0, 2, 1, 1, 0, 3, 0, 0, 1, 1, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 3, 0, 3, 1, 3, 4, 2, 3, 0, 0, 2, 1, 0, 0, 3, 0, 0, 3, 1, 1, 4, 1, 0, 2, 3, 1, 2, 2, 2, 4, 4, 4, 1, 4, 4, 4, 2, 0, 3, 4, 2, 2, 1, 1, 0, 4, 1, 0, 1, 1, 3, 3, 3, 2, 4, 3, 1, 0, 0, 0, 4, 1, 4, 3, 2, 3, 3, 1, 1, 4, 3, 1, 3, 0, 0, 2, 3, 2, 2, 2, 3, 4, 1, 3, 4, 3, 2, 0, 1, 4, 3, 4, 3, 4, 3, 0, 3, 4, 2, 0, 0, 2, 2, 4, 2, 3, 1, 2, 2, 2, 2, 0, 3, 2, 3, 1, 1, 1, 3, 2, 1, 2, 4, 0, 0, 2, 1, 0, 1, 0, 1, 3, 0, 0, 4, 0, 1, 2, 2, 2, 4, 1, 2, 1, 2, 1, 3, 2, 0, 3, 0, 0, 1, 3, 0, 1, 2, 1, 2, 1, 3, 3, 2, 3, 4, 0, 2, 4, 2, 1, 1, 3, 2, 0, 1, 4, 3, 1, 0, 2, 3, 1, 4, 1, 3, 1, 2, 1, 0, 2, 3, 0, 0, 3, 3, 0, 4, 2, 2, 4, 1, 0, 2, 2, 1, 0, 3, 0, 2, 4, 2, 4, 2, 1, 2, 1, 1, 4, 3, 1, 2, 1, 0, 0, 1, 1, 1, 4, 3, 2] pubkeycol1292 = [0, 2, 2, 3, 2, 0, 0, 3, 2, 1, 2, 0, 3, 1, 2, 0, 0, 4, 4, 0, 3, 2, 1, 1, 3, 0, 3, 1, 2, 4, 3, 1, 0, 0, 3, 3, 4, 3, 0, 2, 0, 4, 3, 1, 1, 2, 1, 3, 3, 1, 0, 3, 4, 4, 4, 4, 2, 1, 2, 2, 4, 0, 4, 1, 4, 0, 1, 2, 2, 2, 2, 4, 1, 3, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 3, 2, 1, 2, 4, 3, 2, 2, 4, 1, 1, 4, 3, 2, 0, 0, 2, 0, 2, 2, 4, 0, 4, 3, 1, 1, 4, 4, 2, 0, 0, 4, 4, 3, 0, 0, 2, 4, 3, 0, 0, 4, 2, 4, 1, 0, 3, 3, 1, 0, 2, 0, 1, 2, 3, 2, 1, 4, 4, 1, 0, 0, 1, 4, 3, 3, 0, 2, 3, 0, 1, 1, 2, 0, 1, 2, 1, 0, 3, 3, 2, 2, 1, 3, 4, 1, 1, 0, 4, 2, 1, 4, 0, 1, 0, 4, 2, 2, 1, 3, 3, 1, 0, 3, 0, 2, 0, 0, 2, 3, 2, 3, 1, 4, 2, 2, 3, 4, 1, 2, 3, 3, 2, 2, 0, 1, 0, 3, 0, 4, 0, 4, 3, 4, 1, 1, 1, 4, 1, 0, 0, 3, 2, 0, 3, 1, 1, 4, 0, 2, 0, 4, 2, 4, 0, 4, 0, 3, 2, 0, 4, 1, 4, 2, 1, 2, 3, 1, 3, 0, 3, 0, 4, 4, 2, 2, 3, 1, 3, 1, 0, 0, 2, 4, 1, 0, 4, 4, 4, 3, 4, 4, 0, 1, 2, 3, 3, 4, 1, 3, 1, 3, 0, 4, 1, 0, 2, 3, 3, 4, 1, 4, 2, 4, 2, 4, 1, 1, 3, 1, 4, 3, 2, 4, 4, 1, 1, 3, 4, 3, 1, 2, 3, 3, 4, 2] pubkeycol1293 = [1, 0, 1, 1, 2, 3, 2, 3, 0, 2, 0, 4, 3, 1, 4, 4, 2, 2, 1, 3, 3, 1, 2, 2, 3, 3, 1, 4, 0, 3, 4, 4, 1, 4, 0, 2, 3, 0, 1, 1, 2, 4, 3, 0, 1, 0, 4, 4, 2, 2, 0, 4, 0, 3, 2, 1, 3, 1, 4, 1, 1, 0, 0, 1, 1, 4, 1, 0, 4, 2, 1, 3, 2, 1, 2, 0, 1, 0, 3, 2, 2, 1, 2, 0, 3, 4, 1, 2, 3, 2, 3, 4, 4, 3, 1, 3, 4, 0, 4, 0, 0, 2, 0, 2, 4, 4, 3, 4, 2, 0, 2, 0, 2, 3, 3, 0, 0, 0, 1, 0, 2, 1, 2, 2, 4, 4, 1, 2, 4, 1, 2, 3, 2, 2, 4, 4, 4, 1, 3, 0, 4, 4, 3, 2, 4, 0, 3, 3, 1, 4, 2, 0, 1, 0, 3, 1, 3, 1, 0, 3, 0, 0, 4, 4, 3, 1, 1, 4, 3, 4, 2, 4, 3, 4, 4, 2, 4, 1, 0, 4, 3, 1, 3, 3, 3, 0, 3, 1, 4, 1, 0, 3, 3, 2, 3, 4, 2, 4, 3, 2, 3, 4, 3, 0, 1, 1, 4, 2, 0, 3, 0, 1, 1, 3, 4, 1, 3, 4, 1, 2, 4, 0, 3, 2, 4, 2, 0, 1, 0, 1, 3, 1, 0, 0, 4, 0, 2, 4, 3, 0, 0, 2, 2, 1, 2, 0, 3, 4, 1, 4, 2, 3, 4, 0, 4, 4, 4, 0, 4, 2, 2, 1, 3, 2, 4, 2, 4, 4, 4, 2, 4, 3, 2, 0, 4, 2, 3, 3, 2, 0, 0, 2, 4, 1, 2, 4, 2, 1, 2, 4, 2, 0, 0, 3, 2, 1, 2, 1, 4, 3, 3, 0, 4, 4, 2, 4, 2, 2, 3, 0, 1, 1, 4, 3, 0, 4, 1, 2, 1, 0] pubkeycol1294 = [4, 0, 1, 4, 3, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 4, 0, 2, 2, 1, 0, 2, 1, 2, 3, 3, 1, 0, 4, 3, 3, 4, 0, 1, 0, 2, 4, 1, 3, 0, 0, 1, 4, 4, 4, 3, 0, 1, 1, 3, 4, 4, 4, 3, 2, 1, 3, 2, 0, 4, 3, 1, 1, 1, 3, 0, 4, 3, 3, 1, 0, 3, 2, 1, 1, 2, 1, 2, 0, 0, 4, 3, 2, 4, 3, 0, 1, 0, 1, 2, 1, 0, 1, 2, 4, 3, 4, 1, 4, 4, 3, 1, 1, 2, 3, 4, 4, 4, 1, 3, 4, 1, 2, 2, 0, 2, 4, 1, 3, 0, 2, 3, 3, 2, 3, 4, 1, 3, 0, 0, 4, 3, 4, 3, 1, 0, 4, 0, 3, 4, 0, 3, 4, 4, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 4, 3, 1, 2, 3, 2, 4, 0, 3, 4, 4, 2, 4, 1, 0, 2, 0, 4, 4, 3, 0, 3, 4, 4, 3, 0, 3, 0, 3, 2, 3, 1, 3, 2, 4, 0, 3, 2, 0, 0, 2, 0, 3, 2, 1, 4, 0, 0, 1, 2, 2, 3, 0, 1, 1, 0, 1, 4, 3, 3, 0, 0, 2, 2, 0, 0, 4, 1, 1, 0, 1, 4, 0, 3, 0, 2, 3, 3, 3, 4, 4, 0, 1, 4, 1, 1, 0, 3, 4, 2, 2, 1, 4, 2, 4, 3, 3, 2, 4, 1, 4, 1, 2, 0, 3, 1, 1, 3, 3, 0, 3, 0, 4, 2, 4, 3, 3, 1, 0, 1, 0, 0, 0, 2, 0, 3, 4, 4, 4, 0, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 0, 4, 3, 3, 3, 4, 1, 2, 2, 2, 0, 1, 0, 4, 1, 0, 4, 2] pubkeycol1295 = [2, 3, 3, 4, 3, 1, 0, 4, 0, 0, 3, 1, 1, 0, 0, 3, 3, 3, 0, 2, 2, 4, 0, 4, 0, 4, 4, 2, 2, 1, 0, 4, 4, 1, 2, 4, 2, 2, 2, 1, 1, 2, 3, 3, 3, 0, 1, 3, 1, 3, 3, 3, 0, 3, 0, 1, 2, 3, 0, 2, 0, 1, 2, 2, 4, 2, 0, 4, 1, 1, 2, 1, 4, 2, 4, 3, 3, 4, 1, 1, 1, 3, 2, 4, 0, 0, 1, 4, 3, 0, 0, 0, 1, 1, 0, 1, 3, 1, 4, 3, 0, 1, 1, 2, 3, 2, 3, 2, 0, 1, 3, 2, 1, 1, 2, 3, 4, 0, 2, 0, 1, 4, 4, 2, 1, 2, 4, 2, 2, 3, 1, 4, 3, 2, 4, 4, 0, 4, 0, 4, 2, 3, 1, 3, 2, 1, 3, 0, 0, 2, 1, 0, 4, 1, 0, 2, 2, 3, 1, 0, 0, 2, 1, 3, 0, 4, 2, 2, 2, 1, 0, 4, 4, 3, 1, 4, 1, 2, 1, 0, 2, 2, 1, 0, 4, 2, 3, 4, 4, 1, 1, 2, 4, 2, 3, 4, 0, 0, 2, 3, 3, 1, 0, 2, 0, 0, 0, 3, 1, 1, 2, 4, 3, 1, 1, 3, 1, 0, 1, 4, 0, 4, 1, 1, 4, 3, 2, 1, 1, 3, 3, 0, 3, 3, 4, 2, 0, 0, 4, 1, 3, 1, 0, 4, 0, 0, 0, 3, 4, 3, 4, 1, 0, 1, 4, 3, 2, 1, 3, 4, 0, 0, 2, 2, 4, 4, 2, 3, 4, 3, 2, 1, 2, 4, 2, 4, 4, 4, 1, 2, 3, 0, 2, 3, 4, 0, 0, 1, 4, 2, 1, 3, 4, 1, 4, 0, 4, 2, 3, 2, 1, 3, 1, 4, 0, 2, 1, 1, 0, 3, 0, 0, 2, 4, 0, 0, 1, 1, 2, 3] pubkeycol1296 = [1, 1, 2, 4, 2, 3, 0, 3, 2, 0, 1, 4, 3, 1, 0, 4, 2, 2, 1, 4, 2, 3, 2, 0, 3, 3, 2, 4, 0, 3, 2, 3, 4, 0, 0, 2, 3, 2, 4, 1, 2, 1, 4, 1, 4, 3, 2, 1, 3, 1, 3, 4, 2, 1, 0, 0, 1, 1, 1, 3, 2, 0, 4, 0, 1, 3, 4, 4, 1, 0, 1, 1, 4, 2, 4, 4, 3, 3, 4, 0, 1, 3, 1, 4, 2, 4, 2, 4, 2, 1, 1, 3, 4, 3, 3, 0, 4, 4, 3, 2, 4, 2, 2, 2, 0, 0, 4, 0, 4, 0, 2, 3, 0, 0, 0, 1, 2, 0, 4, 2, 1, 4, 1, 3, 2, 4, 2, 1, 2, 1, 2, 2, 2, 2, 3, 4, 0, 2, 3, 1, 1, 2, 3, 1, 4, 2, 3, 1, 2, 0, 2, 3, 3, 4, 2, 2, 0, 3, 1, 3, 2, 0, 1, 2, 2, 3, 2, 1, 2, 4, 1, 1, 1, 4, 2, 2, 0, 2, 4, 1, 1, 2, 4, 1, 0, 0, 2, 1, 4, 1, 2, 1, 1, 4, 0, 1, 0, 3, 4, 0, 3, 4, 0, 0, 4, 3, 0, 1, 4, 0, 4, 2, 0, 0, 4, 1, 3, 2, 1, 4, 1, 4, 1, 2, 4, 1, 2, 0, 1, 1, 0, 2, 2, 0, 4, 1, 0, 0, 0, 2, 1, 3, 2, 4, 2, 2, 3, 1, 0, 4, 0, 0, 1, 4, 4, 1, 0, 3, 1, 3, 4, 1, 0, 0, 0, 0, 3, 4, 2, 4, 4, 4, 2, 0, 4, 2, 1, 3, 2, 4, 0, 1, 3, 4, 3, 2, 1, 1, 4, 1, 3, 3, 0, 0, 4, 3, 0, 1, 2, 3, 4, 4, 4, 2, 0, 4, 2, 1, 2, 1, 4, 4, 2, 2, 2, 4, 4, 2, 0, 1] pubkeycol1297 = [0, 1, 1, 0, 1, 1, 1, 0, 1, 4, 0, 2, 3, 1, 2, 3, 2, 1, 1, 1, 0, 2, 3, 4, 3, 0, 1, 0, 3, 2, 0, 0, 0, 2, 3, 2, 1, 3, 2, 4, 4, 2, 2, 2, 0, 3, 1, 2, 3, 2, 2, 2, 3, 4, 2, 2, 3, 4, 4, 0, 4, 0, 3, 2, 0, 4, 1, 3, 3, 4, 4, 0, 3, 0, 4, 4, 0, 2, 4, 3, 0, 1, 1, 2, 4, 4, 3, 4, 1, 0, 3, 0, 3, 3, 2, 0, 1, 4, 4, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 2, 4, 3, 1, 0, 1, 1, 0, 3, 2, 4, 4, 1, 1, 2, 0, 2, 2, 2, 4, 3, 1, 0, 3, 0, 1, 2, 0, 4, 3, 2, 0, 0, 1, 2, 2, 4, 1, 4, 2, 3, 4, 1, 1, 4, 0, 3, 0, 1, 1, 4, 3, 2, 4, 1, 4, 3, 0, 1, 0, 1, 4, 3, 4, 0, 1, 2, 1, 0, 4, 2, 2, 4, 1, 2, 2, 1, 0, 4, 2, 0, 3, 0, 3, 3, 4, 3, 0, 1, 0, 0, 2, 0, 3, 4, 2, 0, 0, 2, 2, 2, 0, 1, 0, 3, 1, 4, 3, 1, 4, 1, 4, 4, 3, 2, 4, 2, 3, 1, 3, 2, 4, 2, 3, 3, 1, 2, 4, 2, 3, 3, 4, 2, 3, 1, 1, 0, 0, 1, 2, 4, 3, 1, 1, 3, 4, 0, 3, 2, 4, 1, 3, 4, 0, 0, 1, 1, 4, 4, 3, 2, 0, 2, 3, 0, 1, 1, 2, 2, 4, 2, 3, 2, 1, 2, 1, 4, 0, 1, 4, 1, 3, 1, 4, 3, 1, 4, 4, 3, 4, 0, 4, 1, 0, 1, 3, 1, 4, 1, 3, 2, 3, 0, 1, 0, 4, 0, 2, 2, 1, 2] pubkeycol1298 = [4, 0, 4, 0, 2, 4, 2, 2, 0, 1, 1, 1, 2, 1, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 0, 3, 0, 4, 1, 3, 0, 4, 2, 0, 3, 0, 4, 0, 1, 1, 0, 1, 4, 0, 3, 0, 2, 0, 0, 0, 4, 1, 3, 2, 1, 2, 1, 1, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 2, 0, 0, 0, 3, 0, 3, 1, 2, 4, 3, 1, 3, 4, 4, 2, 4, 1, 1, 2, 1, 2, 1, 0, 4, 1, 1, 3, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 3, 1, 2, 3, 3, 0, 2, 2, 2, 3, 0, 2, 2, 3, 0, 3, 3, 0, 0, 4, 2, 2, 3, 0, 3, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 4, 0, 1, 0, 1, 3, 2, 4, 1, 1, 2, 1, 1, 4, 1, 4, 1, 4, 4, 1, 3, 2, 1, 2, 0, 2, 0, 3, 2, 2, 0, 0, 3, 1, 3, 0, 1, 0, 4, 1, 1, 4, 1, 1, 1, 2, 0, 1, 1, 0, 4, 0, 4, 0, 4, 4, 0, 1, 0, 4, 2, 2, 3, 2, 1, 4, 1, 3, 1, 3, 4, 1, 2, 2, 4, 3, 2, 2, 0, 2, 4, 0, 0, 3, 0, 4, 4, 1, 3, 4, 0, 4, 3, 3, 4, 0, 4, 0, 2, 2, 2, 0, 1, 4, 0, 1, 3, 2, 4, 1, 3, 0, 0, 4, 3, 0, 1, 2, 0, 1, 1, 4, 3, 3, 4, 2, 2, 3, 0, 0, 2, 2, 3, 0, 4, 3, 2, 3, 2, 4, 4, 1, 2, 4, 4, 0, 3, 0, 2, 1, 4, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol1299 = [4, 1, 2, 4, 0, 3, 0, 2, 0, 1, 4, 3, 3, 2, 0, 0, 3, 4, 4, 1, 3, 1, 3, 3, 0, 4, 3, 0, 2, 3, 0, 3, 0, 3, 0, 2, 1, 0, 3, 0, 0, 1, 1, 1, 0, 0, 2, 0, 4, 1, 0, 1, 4, 0, 1, 3, 2, 4, 4, 3, 1, 2, 0, 2, 2, 1, 0, 2, 4, 4, 4, 0, 2, 4, 2, 1, 1, 2, 2, 1, 2, 3, 0, 4, 4, 1, 4, 1, 0, 4, 4, 2, 0, 0, 3, 4, 2, 2, 2, 3, 4, 3, 0, 1, 4, 3, 4, 2, 4, 0, 2, 0, 4, 2, 2, 3, 0, 4, 0, 3, 4, 0, 3, 0, 1, 1, 3, 4, 2, 0, 4, 2, 1, 2, 0, 3, 2, 2, 2, 0, 4, 0, 4, 2, 2, 3, 2, 3, 0, 4, 0, 4, 0, 1, 0, 1, 0, 3, 2, 2, 1, 2, 0, 2, 4, 2, 2, 2, 0, 4, 0, 0, 0, 1, 3, 3, 4, 2, 3, 1, 2, 1, 4, 0, 0, 3, 4, 1, 3, 0, 3, 4, 4, 0, 3, 4, 3, 2, 0, 0, 4, 4, 0, 1, 2, 2, 4, 1, 1, 0, 0, 4, 3, 2, 1, 2, 1, 0, 1, 4, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 0, 4, 0, 2, 4, 2, 2, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 2, 1, 0, 0, 3, 3, 1, 4, 3, 4, 2, 3, 0, 4, 3, 1, 0, 0, 4, 0, 0, 0, 3, 4, 0, 2, 3, 0, 0, 0, 3, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 4, 1, 1, 3, 2, 1, 4, 2, 0, 4, 4, 3, 3, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 0, 0, 2, 1, 1, 1] pubkeycol1300 = [0, 1, 1, 4, 3, 2, 4, 1, 0, 4, 2, 0, 4, 4, 3, 4, 2, 2, 4, 1, 0, 1, 0, 4, 2, 0, 1, 2, 0, 3, 1, 2, 2, 0, 2, 1, 1, 1, 4, 0, 3, 4, 3, 3, 3, 2, 4, 3, 4, 3, 1, 3, 2, 1, 3, 1, 4, 1, 2, 0, 4, 0, 1, 2, 4, 3, 0, 0, 0, 1, 3, 4, 4, 2, 3, 1, 4, 1, 0, 0, 3, 2, 2, 1, 0, 2, 0, 0, 2, 2, 3, 3, 0, 1, 3, 1, 4, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 4, 2, 4, 0, 4, 4, 1, 0, 1, 3, 1, 1, 1, 0, 3, 3, 0, 4, 0, 2, 4, 2, 1, 4, 3, 2, 4, 3, 3, 2, 1, 4, 2, 3, 2, 1, 1, 2, 0, 2, 2, 0, 3, 2, 3, 0, 4, 2, 1, 3, 3, 0, 3, 4, 3, 2, 2, 3, 0, 3, 0, 3, 4, 1, 4, 2, 0, 4, 3, 0, 3, 0, 1, 2, 0, 1, 1, 4, 3, 1, 2, 0, 0, 1, 4, 0, 1, 4, 2, 1, 4, 4, 3, 0, 1, 4, 2, 3, 1, 3, 2, 1, 3, 0, 0, 0, 2, 1, 0, 4, 1, 2, 0, 0, 2, 4, 4, 1, 2, 0, 0, 0, 0, 2, 2, 0, 3, 0, 1, 4, 0, 4, 1, 1, 4, 3, 0, 0, 1, 3, 1, 4, 4, 3, 2, 4, 3, 3, 2, 4, 4, 3, 1, 3, 3, 3, 1, 3, 1, 2, 0, 2, 2, 3, 1, 1, 4, 0, 2, 4, 1, 3, 1, 0, 0, 3, 2, 0, 0, 3, 1, 2, 1, 2, 0, 3, 3, 4, 2, 2, 4, 1, 1, 2, 1, 2, 1, 0, 3, 2, 1, 1, 3, 0, 4, 4, 2, 4, 4, 1, 2, 2, 4] pubkeycol1301 = [4, 3, 0, 0, 0, 2, 1, 3, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 3, 1, 4, 1, 3, 3, 3, 4, 4, 2, 1, 4, 2, 2, 4, 1, 3, 3, 0, 4, 1, 0, 4, 2, 3, 1, 0, 1, 3, 3, 3, 1, 4, 4, 2, 4, 0, 1, 0, 2, 4, 0, 1, 2, 1, 2, 2, 3, 4, 3, 3, 4, 2, 1, 4, 3, 1, 3, 3, 2, 2, 1, 0, 0, 3, 4, 3, 2, 4, 4, 3, 4, 1, 1, 4, 3, 2, 1, 0, 2, 3, 3, 2, 4, 2, 2, 1, 0, 1, 3, 3, 4, 3, 0, 1, 2, 2, 4, 0, 1, 4, 1, 4, 0, 4, 1, 0, 0, 1, 1, 0, 4, 3, 4, 0, 2, 0, 0, 4, 3, 1, 1, 3, 3, 3, 3, 0, 0, 2, 3, 2, 3, 4, 2, 0, 4, 4, 3, 4, 2, 1, 0, 0, 4, 0, 1, 2, 4, 4, 2, 4, 3, 4, 1, 3, 0, 0, 1, 4, 0, 2, 2, 1, 1, 3, 3, 1, 3, 1, 4, 4, 2, 3, 3, 1, 2, 0, 2, 3, 1, 3, 0, 0, 2, 3, 2, 0, 1, 2, 2, 0, 4, 0, 4, 1, 2, 0, 1, 3, 2, 1, 2, 3, 2, 0, 0, 2, 0, 1, 3, 1, 2, 4, 3, 4, 4, 4, 2, 4, 4, 3, 1, 2, 1, 0, 3, 0, 1, 4, 1, 0, 0, 2, 4, 2, 4, 3, 4, 3, 1, 2, 2, 3, 4, 1, 2, 2, 4, 0, 3, 3, 4, 2, 4, 0, 1, 1, 4, 4, 3, 2, 2, 4, 4, 2, 0, 0, 2, 3, 3, 1, 2, 0, 3, 3, 0, 1, 3, 1, 0, 2, 4, 4, 3, 3, 3, 1, 2, 4, 0, 0, 2, 2, 0, 3, 2, 4, 4, 2, 4, 0, 4] pubkeycol1302 = [4, 4, 0, 2, 3, 1, 4, 3, 1, 2, 1, 4, 3, 4, 0, 0, 0, 3, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 4, 1, 0, 4, 3, 1, 1, 1, 2, 2, 3, 0, 2, 0, 3, 0, 2, 2, 3, 0, 0, 0, 2, 2, 1, 3, 4, 3, 2, 3, 4, 1, 2, 0, 1, 1, 4, 4, 2, 3, 3, 3, 1, 1, 3, 1, 3, 3, 1, 1, 0, 3, 2, 3, 1, 3, 3, 4, 1, 2, 1, 3, 1, 2, 1, 3, 0, 1, 2, 1, 1, 0, 1, 4, 0, 0, 0, 0, 4, 1, 4, 2, 1, 2, 3, 3, 1, 2, 3, 0, 2, 2, 4, 4, 0, 0, 3, 4, 4, 2, 3, 3, 1, 4, 4, 3, 4, 2, 4, 3, 2, 2, 4, 1, 3, 2, 1, 2, 2, 3, 3, 2, 1, 0, 1, 2, 1, 1, 4, 3, 1, 2, 3, 2, 0, 0, 4, 1, 4, 1, 0, 0, 3, 0, 1, 3, 3, 3, 0, 0, 4, 2, 3, 0, 4, 3, 1, 1, 2, 3, 1, 4, 1, 4, 0, 1, 1, 3, 0, 4, 0, 4, 3, 3, 0, 4, 2, 4, 3, 4, 0, 1, 1, 2, 1, 3, 4, 2, 0, 3, 4, 1, 1, 3, 3, 3, 2, 0, 4, 3, 3, 2, 0, 2, 4, 3, 4, 3, 4, 1, 0, 0, 1, 0, 3, 1, 2, 1, 1, 2, 0, 1, 2, 3, 2, 0, 2, 1, 3, 2, 0, 0, 2, 4, 1, 2, 2, 2, 3, 3, 0, 4, 2, 2, 2, 4, 3, 0, 4, 3, 3, 4, 2, 4, 2, 1, 0, 0, 2, 3, 4, 2, 0, 1, 1, 0, 2, 4, 3, 2, 1, 0, 1, 0, 3, 2, 0, 2, 2, 0, 4, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1] pubkeycol1303 = [2, 2, 2, 1, 4, 2, 4, 0, 0, 0, 0, 3, 0, 4, 4, 0, 0, 1, 2, 2, 0, 3, 2, 2, 3, 2, 0, 0, 3, 0, 1, 4, 1, 4, 4, 0, 0, 3, 3, 1, 3, 4, 3, 1, 1, 4, 3, 0, 1, 4, 4, 4, 3, 4, 1, 3, 1, 3, 4, 1, 3, 2, 1, 4, 3, 1, 2, 0, 1, 1, 3, 0, 4, 2, 4, 2, 1, 3, 3, 3, 2, 1, 1, 0, 2, 4, 1, 2, 2, 2, 4, 4, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 1, 2, 4, 1, 0, 1, 2, 1, 4, 2, 2, 4, 4, 3, 4, 2, 1, 4, 1, 0, 2, 1, 2, 3, 1, 0, 0, 4, 1, 3, 3, 0, 0, 1, 4, 2, 2, 4, 0, 0, 1, 3, 1, 4, 4, 3, 1, 3, 0, 4, 0, 2, 1, 1, 3, 0, 4, 0, 3, 2, 3, 0, 2, 3, 0, 1, 1, 1, 2, 1, 4, 2, 0, 4, 1, 1, 2, 4, 3, 0, 3, 4, 3, 4, 0, 4, 4, 1, 4, 0, 4, 0, 1, 0, 2, 2, 2, 4, 1, 0, 2, 0, 2, 2, 0, 1, 0, 3, 2, 4, 4, 0, 4, 2, 4, 4, 0, 3, 3, 3, 0, 4, 1, 4, 4, 1, 1, 4, 3, 2, 0, 3, 3, 4, 2, 4, 3, 3, 3, 2, 1, 3, 0, 2, 3, 3, 4, 4, 3, 4, 0, 4, 3, 0, 2, 3, 3, 0, 0, 1, 0, 3, 4, 1, 3, 4, 4, 2, 2, 2, 4, 3, 4, 0, 3, 0, 3, 0, 1, 0, 1, 1, 0, 1, 3, 3, 3, 0, 3, 3, 0, 1, 4, 2, 2, 3, 2, 3, 4, 1, 0, 1, 4, 2, 3, 2, 2, 4, 2, 1, 0, 4, 4, 1, 4, 0, 4] pubkeycol1304 = [0, 2, 3, 4, 4, 4, 3, 0, 4, 3, 0, 4, 0, 2, 1, 1, 4, 0, 0, 1, 1, 2, 3, 4, 4, 4, 1, 2, 1, 0, 0, 0, 4, 4, 3, 2, 2, 2, 1, 1, 4, 0, 4, 1, 3, 3, 3, 0, 2, 2, 3, 4, 2, 1, 1, 4, 3, 4, 3, 0, 3, 2, 0, 2, 0, 3, 0, 0, 0, 1, 4, 2, 3, 2, 2, 1, 3, 2, 3, 0, 0, 2, 4, 1, 1, 4, 4, 3, 4, 1, 3, 4, 3, 3, 3, 3, 3, 1, 1, 3, 3, 4, 1, 4, 3, 2, 0, 0, 3, 3, 1, 3, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 4, 3, 1, 0, 2, 2, 2, 3, 2, 2, 0, 4, 2, 4, 0, 2, 4, 4, 0, 2, 3, 1, 3, 4, 2, 0, 1, 2, 2, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 4, 3, 0, 3, 2, 3, 0, 0, 0, 4, 1, 1, 0, 3, 2, 1, 2, 3, 4, 4, 3, 2, 4, 4, 3, 2, 2, 3, 4, 4, 0, 0, 3, 2, 0, 1, 1, 1, 1, 0, 4, 2, 3, 1, 3, 1, 1, 3, 0, 3, 1, 3, 1, 3, 0, 1, 1, 3, 2, 0, 2, 2, 3, 0, 4, 4, 0, 0, 1, 3, 0, 0, 2, 3, 3, 4, 4, 0, 1, 1, 3, 4, 2, 2, 0, 1, 2, 2, 2, 0, 3, 0, 2, 4, 3, 2, 1, 4, 3, 4, 4, 2, 1, 2, 1, 4, 0, 2, 3, 1, 2, 0, 1, 0, 3, 3, 0, 1, 3, 1, 0, 4, 2, 3, 3, 3, 2, 1, 2, 0, 1, 0, 0, 0, 4, 0, 0, 3, 3, 1, 3, 3, 1, 3, 3, 0, 0, 3, 0, 1] pubkeycol1305 = [4, 2, 4, 3, 2, 0, 1, 4, 4, 2, 0, 3, 2, 0, 2, 2, 4, 2, 0, 3, 4, 4, 1, 0, 3, 1, 1, 1, 4, 0, 3, 4, 4, 0, 0, 0, 1, 3, 3, 2, 4, 3, 4, 2, 2, 0, 0, 2, 4, 4, 4, 3, 0, 4, 3, 0, 3, 3, 4, 4, 0, 2, 1, 1, 4, 1, 2, 3, 0, 0, 3, 2, 3, 4, 2, 0, 0, 4, 4, 2, 1, 1, 0, 3, 4, 2, 2, 3, 4, 3, 4, 0, 3, 0, 2, 1, 1, 1, 3, 3, 2, 2, 2, 0, 4, 2, 2, 4, 3, 2, 0, 3, 1, 0, 1, 2, 3, 0, 3, 2, 1, 0, 3, 4, 0, 3, 0, 3, 3, 0, 3, 1, 1, 1, 3, 3, 0, 4, 3, 2, 2, 0, 1, 3, 2, 1, 2, 0, 4, 3, 0, 2, 0, 4, 2, 1, 2, 4, 0, 4, 3, 3, 4, 1, 1, 3, 0, 3, 1, 0, 1, 4, 2, 4, 1, 2, 3, 2, 3, 2, 3, 1, 2, 4, 2, 1, 1, 2, 4, 0, 1, 4, 1, 0, 1, 2, 4, 1, 3, 1, 4, 0, 0, 2, 2, 4, 0, 1, 4, 3, 1, 0, 2, 3, 2, 2, 2, 3, 1, 3, 2, 2, 2, 0, 0, 3, 4, 1, 4, 2, 1, 0, 4, 0, 2, 3, 3, 4, 4, 1, 3, 3, 3, 2, 4, 2, 4, 0, 2, 2, 4, 3, 3, 0, 0, 4, 4, 3, 1, 1, 2, 4, 3, 1, 4, 3, 4, 0, 2, 4, 4, 3, 0, 1, 1, 4, 4, 4, 3, 2, 1, 1, 0, 4, 3, 3, 2, 2, 4, 3, 4, 3, 2, 4, 2, 2, 1, 4, 3, 4, 4, 4, 0, 0, 2, 4, 1, 4, 1, 2, 2, 3, 2, 4, 2, 3, 0, 2, 3, 2] pubkeycol1306 = [1, 3, 0, 1, 2, 4, 4, 2, 1, 4, 4, 2, 1, 4, 4, 3, 3, 1, 4, 4, 0, 3, 0, 0, 0, 0, 1, 3, 4, 3, 3, 2, 4, 3, 4, 1, 1, 1, 2, 4, 3, 4, 1, 3, 0, 3, 2, 2, 1, 4, 3, 0, 3, 3, 0, 1, 4, 1, 1, 0, 4, 1, 0, 4, 0, 4, 2, 3, 2, 0, 2, 4, 2, 4, 0, 4, 4, 1, 2, 4, 0, 3, 2, 3, 3, 1, 4, 3, 2, 1, 2, 1, 4, 0, 2, 1, 3, 1, 4, 4, 4, 1, 4, 3, 0, 3, 4, 4, 2, 4, 2, 2, 3, 0, 1, 0, 3, 4, 2, 3, 0, 0, 2, 4, 4, 3, 2, 4, 1, 4, 4, 1, 4, 0, 1, 4, 1, 2, 0, 3, 3, 1, 2, 1, 0, 3, 2, 4, 0, 4, 1, 4, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 4, 0, 4, 4, 0, 0, 2, 0, 0, 4, 3, 0, 3, 2, 3, 4, 3, 0, 2, 3, 1, 3, 4, 0, 4, 3, 2, 0, 4, 4, 4, 0, 4, 2, 1, 2, 2, 0, 0, 0, 3, 3, 3, 4, 3, 3, 4, 4, 0, 1, 0, 3, 0, 2, 4, 1, 3, 2, 2, 4, 4, 3, 1, 4, 3, 1, 3, 2, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 2, 3, 2, 4, 4, 2, 2, 0, 0, 1, 4, 1, 2, 4, 4, 0, 4, 0, 3, 3, 0, 3, 2, 3, 0, 0, 4, 1, 4, 2, 0, 0, 4, 1, 2, 2, 3, 4, 1, 1, 1, 2, 2, 4, 4, 0, 3, 4, 0, 0, 2, 1, 3, 4, 4, 3, 0, 3, 3, 3, 3, 3, 0, 2, 1, 3, 2, 0, 4, 0, 4, 2, 1, 1, 3, 0, 3, 3, 3] pubkeycol1307 = [1, 2, 1, 1, 0, 1, 4, 2, 3, 4, 3, 3, 2, 2, 3, 0, 4, 1, 4, 1, 3, 2, 4, 0, 1, 2, 3, 1, 0, 1, 2, 2, 3, 3, 4, 2, 2, 2, 2, 3, 2, 1, 0, 2, 0, 0, 0, 2, 3, 3, 3, 4, 1, 1, 2, 4, 4, 4, 2, 4, 3, 3, 0, 1, 0, 1, 2, 1, 3, 3, 3, 1, 2, 1, 4, 4, 3, 1, 2, 1, 0, 2, 4, 4, 3, 3, 0, 3, 0, 0, 2, 3, 3, 1, 3, 4, 4, 2, 4, 0, 0, 3, 4, 1, 2, 1, 1, 4, 3, 4, 1, 1, 3, 4, 0, 4, 0, 4, 4, 1, 3, 4, 3, 4, 4, 2, 3, 4, 3, 1, 1, 1, 1, 2, 3, 2, 0, 4, 4, 4, 2, 0, 1, 3, 3, 3, 3, 4, 3, 1, 2, 2, 0, 4, 0, 2, 3, 3, 0, 1, 4, 0, 2, 4, 1, 0, 4, 3, 0, 1, 2, 4, 4, 0, 2, 1, 3, 0, 1, 4, 1, 2, 2, 3, 1, 2, 4, 0, 2, 0, 3, 4, 2, 1, 4, 4, 2, 3, 0, 2, 3, 4, 3, 1, 2, 1, 0, 0, 3, 1, 2, 3, 0, 0, 0, 1, 0, 1, 1, 0, 3, 3, 2, 4, 3, 3, 4, 0, 0, 4, 1, 2, 2, 4, 1, 3, 4, 2, 4, 0, 3, 3, 3, 3, 3, 0, 2, 1, 4, 4, 2, 0, 0, 1, 1, 3, 2, 2, 1, 2, 0, 3, 0, 4, 3, 3, 1, 1, 0, 0, 0, 4, 0, 1, 3, 2, 2, 0, 3, 2, 0, 2, 4, 3, 4, 0, 0, 1, 2, 2, 1, 3, 2, 0, 2, 1, 0, 3, 2, 0, 0, 3, 0, 1, 1, 2, 3, 1, 3, 4, 2, 2, 2, 0, 1, 4, 1, 3, 3, 3] pubkeycol1308 = [3, 1, 4, 2, 0, 4, 1, 3, 3, 2, 3, 2, 0, 2, 3, 1, 3, 2, 2, 4, 3, 4, 2, 4, 2, 2, 3, 3, 3, 3, 1, 4, 0, 4, 2, 2, 2, 0, 4, 0, 4, 3, 0, 2, 3, 4, 1, 2, 4, 4, 1, 3, 4, 0, 1, 1, 1, 4, 0, 1, 0, 2, 0, 4, 0, 2, 3, 2, 0, 4, 2, 0, 0, 2, 2, 0, 4, 2, 0, 2, 4, 3, 3, 4, 2, 2, 4, 0, 1, 4, 1, 1, 3, 0, 3, 0, 2, 2, 2, 1, 4, 4, 0, 1, 4, 0, 1, 2, 1, 0, 1, 3, 2, 3, 4, 1, 1, 3, 0, 3, 3, 1, 2, 3, 4, 4, 3, 0, 3, 2, 4, 0, 2, 4, 3, 2, 4, 0, 2, 4, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 1, 0, 4, 4, 4, 1, 0, 0, 1, 2, 2, 1, 0, 4, 1, 0, 3, 3, 4, 4, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 4, 1, 1, 2, 2, 1, 4, 0, 4, 4, 0, 4, 4, 3, 4, 0, 1, 2, 2, 4, 3, 4, 4, 2, 3, 4, 0, 4, 1, 1, 4, 2, 4, 1, 3, 4, 4, 3, 1, 3, 1, 4, 3, 3, 3, 0, 0, 4, 0, 2, 3, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 3, 4, 3, 0, 4, 3, 1, 2, 2, 2, 3, 2, 1, 0, 3, 4, 1, 3, 1, 3, 4, 1, 0, 2, 4, 0, 4, 2, 3, 4, 3, 0, 3, 4, 4, 1, 2, 3, 4, 2, 2, 2, 2, 1, 0, 3, 1, 3, 1, 1, 3, 0, 2, 3, 4, 4, 2, 1, 1, 4, 2, 2, 1, 0, 3, 0, 4, 4, 3, 4, 1, 1, 1, 0, 4, 3] pubkeycol1309 = [3, 4, 2, 0, 3, 0, 2, 3, 3, 1, 4, 1, 2, 2, 4, 2, 1, 3, 2, 0, 2, 0, 2, 1, 4, 2, 1, 0, 4, 4, 4, 3, 3, 3, 0, 1, 3, 1, 4, 3, 3, 4, 3, 4, 2, 4, 1, 3, 3, 3, 0, 0, 3, 0, 2, 2, 3, 2, 4, 4, 3, 0, 4, 0, 2, 1, 4, 4, 4, 1, 1, 0, 2, 3, 4, 0, 4, 2, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 1, 3, 1, 1, 2, 1, 2, 0, 2, 1, 3, 4, 0, 0, 4, 4, 0, 2, 0, 1, 3, 0, 2, 2, 0, 3, 4, 0, 1, 3, 3, 2, 3, 4, 0, 1, 4, 4, 1, 4, 3, 1, 1, 3, 0, 0, 1, 2, 1, 0, 4, 3, 3, 2, 3, 2, 3, 3, 3, 4, 4, 4, 3, 1, 1, 3, 0, 2, 2, 2, 0, 1, 4, 0, 2, 2, 0, 4, 2, 2, 2, 4, 4, 0, 2, 4, 1, 4, 1, 0, 3, 0, 0, 4, 4, 0, 3, 0, 2, 2, 2, 0, 3, 1, 3, 4, 1, 4, 0, 2, 1, 2, 0, 3, 2, 1, 3, 0, 2, 4, 1, 3, 1, 0, 2, 1, 4, 3, 4, 3, 2, 2, 0, 1, 0, 1, 1, 4, 1, 4, 0, 2, 1, 1, 4, 3, 0, 3, 4, 2, 1, 2, 3, 3, 1, 0, 2, 3, 2, 3, 0, 2, 0, 2, 1, 3, 0, 1, 4, 2, 2, 4, 2, 3, 4, 4, 3, 1, 0, 0, 4, 3, 4, 0, 0, 4, 3, 0, 1, 3, 1, 0, 0, 2, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 1, 2, 0, 2, 1, 4, 3, 2, 2, 0, 2, 4, 1, 3, 2, 2, 3, 0, 1, 3, 3, 0, 1, 3, 3, 0, 2, 4] pubkeycol1310 = [4, 1, 4, 1, 4, 2, 4, 2, 3, 4, 2, 3, 4, 2, 0, 1, 1, 1, 1, 0, 4, 2, 3, 2, 3, 3, 4, 3, 1, 0, 4, 4, 2, 4, 4, 0, 4, 2, 2, 3, 0, 4, 3, 2, 1, 4, 0, 3, 1, 1, 3, 2, 1, 3, 2, 2, 0, 0, 4, 0, 1, 4, 4, 3, 3, 3, 4, 0, 0, 4, 1, 1, 3, 0, 1, 0, 0, 4, 0, 1, 4, 3, 4, 3, 1, 2, 1, 4, 3, 0, 2, 1, 0, 2, 0, 3, 2, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 2, 0, 2, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 1, 2, 4, 3, 1, 2, 2, 0, 4, 2, 0, 2, 1, 1, 3, 3, 1, 0, 3, 3, 2, 0, 1, 4, 1, 4, 3, 3, 1, 1, 4, 4, 4, 3, 2, 4, 3, 4, 1, 2, 1, 3, 1, 4, 3, 1, 1, 3, 2, 2, 2, 3, 4, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 3, 4, 3, 1, 3, 0, 0, 4, 4, 3, 1, 3, 4, 2, 4, 0, 3, 2, 4, 4, 2, 2, 0, 1, 4, 1, 0, 1, 2, 0, 0, 0, 3, 4, 3, 2, 0, 3, 2, 1, 1, 1, 4, 3, 4, 1, 3, 3, 4, 2, 3, 0, 2, 4, 1, 1, 0, 1, 3, 3, 2, 3, 1, 4, 1, 3, 2, 1, 4, 4, 4, 4, 2, 4, 3, 0, 3, 2, 2, 3, 4, 2, 2, 2, 3, 2, 3, 0, 4, 0, 4, 2, 2, 2, 1, 3, 1, 0, 2, 2, 3, 3, 4, 2, 3, 3, 4, 4, 3, 2, 1, 3, 4, 1, 3, 1, 0, 0, 0, 3, 1, 1, 1, 2, 1, 4, 0, 2, 4, 4, 1, 0, 3, 4, 2, 2, 2] pubkeycol1311 = [0, 4, 4, 1, 3, 3, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 0, 2, 2, 3, 3, 2, 1, 0, 0, 2, 1, 0, 0, 4, 2, 3, 1, 0, 3, 0, 2, 0, 4, 3, 3, 3, 3, 3, 0, 4, 3, 4, 4, 0, 3, 4, 2, 2, 4, 3, 3, 0, 4, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 0, 1, 2, 3, 0, 3, 3, 4, 4, 2, 1, 4, 0, 4, 1, 1, 4, 1, 0, 1, 3, 1, 0, 3, 0, 2, 4, 2, 2, 2, 3, 0, 2, 1, 2, 1, 2, 1, 3, 3, 2, 1, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 3, 0, 1, 2, 3, 4, 3, 4, 2, 0, 3, 1, 0, 1, 0, 0, 1, 2, 1, 4, 1, 2, 4, 0, 1, 1, 3, 4, 3, 4, 0, 2, 2, 3, 0, 0, 3, 0, 4, 1, 3, 4, 0, 1, 2, 2, 4, 2, 4, 1, 2, 1, 1, 3, 0, 1, 2, 0, 4, 1, 3, 3, 3, 3, 1, 2, 4, 0, 1, 3, 4, 0, 1, 1, 1, 2, 0, 0, 2, 3, 2, 4, 4, 2, 1, 2, 1, 4, 2, 2, 0, 4, 0, 4, 4, 4, 3, 3, 3, 1, 0, 4, 3, 4, 2, 2, 2, 1, 1, 2, 4, 0, 3, 3, 0, 1, 3, 1, 2, 3, 3, 1, 2, 4, 4, 0, 2, 3, 4, 1, 2, 1, 2, 1, 2, 2, 2, 4, 4, 2, 1, 4, 2, 1, 3, 4, 2, 4, 0, 3, 1, 3, 3, 3, 1, 4, 2, 3, 2, 2, 3, 1, 4, 1, 2, 0, 4, 4, 0, 2, 1, 0, 4, 1, 2, 4, 2, 3, 0, 4, 2, 0, 3, 1, 0, 4, 0, 4, 2, 2, 2, 3, 1, 1, 3, 3, 4, 3] pubkeycol1312 = [1, 3, 1, 0, 0, 1, 1, 0, 1, 4, 4, 2, 2, 3, 4, 3, 0, 0, 4, 4, 4, 1, 2, 1, 1, 0, 4, 0, 1, 2, 1, 0, 1, 0, 4, 2, 3, 0, 3, 3, 0, 2, 2, 0, 1, 1, 3, 2, 1, 1, 1, 2, 4, 3, 4, 4, 4, 4, 2, 2, 0, 0, 1, 4, 4, 4, 1, 0, 4, 2, 4, 3, 2, 4, 1, 1, 2, 1, 2, 1, 4, 2, 2, 2, 3, 4, 4, 3, 3, 0, 2, 2, 1, 0, 0, 1, 4, 0, 4, 2, 0, 4, 4, 4, 2, 3, 4, 2, 0, 1, 3, 0, 3, 1, 0, 3, 3, 2, 3, 0, 0, 3, 4, 3, 0, 0, 2, 4, 3, 3, 2, 1, 3, 2, 4, 1, 2, 2, 2, 0, 0, 0, 1, 1, 3, 3, 1, 2, 0, 2, 4, 1, 1, 0, 0, 1, 4, 1, 4, 4, 3, 4, 2, 1, 4, 1, 2, 1, 4, 3, 4, 0, 1, 4, 1, 4, 2, 3, 1, 4, 0, 3, 3, 2, 4, 0, 0, 2, 4, 2, 1, 4, 3, 1, 3, 3, 0, 3, 3, 3, 3, 0, 0, 2, 3, 2, 4, 1, 1, 2, 3, 2, 3, 1, 4, 0, 3, 4, 2, 4, 1, 4, 2, 2, 0, 0, 2, 3, 0, 2, 3, 3, 2, 4, 0, 4, 2, 4, 0, 2, 1, 1, 3, 3, 3, 0, 3, 0, 1, 0, 3, 1, 2, 2, 3, 2, 3, 0, 3, 3, 0, 2, 3, 1, 2, 2, 4, 3, 3, 0, 4, 3, 3, 3, 1, 0, 1, 4, 2, 4, 2, 0, 4, 0, 0, 0, 4, 1, 1, 4, 2, 0, 4, 1, 3, 0, 3, 2, 2, 1, 3, 2, 3, 0, 0, 2, 4, 4, 0, 2, 1, 1, 4, 1, 4, 3, 3, 4, 0, 2] pubkeycol1313 = [1, 2, 4, 1, 4, 2, 3, 2, 4, 3, 1, 2, 2, 3, 3, 4, 1, 0, 2, 4, 4, 1, 1, 4, 0, 0, 3, 4, 3, 1, 4, 1, 4, 4, 1, 2, 2, 2, 1, 3, 2, 4, 3, 0, 4, 2, 4, 4, 1, 3, 2, 3, 3, 2, 0, 3, 3, 1, 1, 1, 3, 2, 1, 3, 0, 4, 1, 4, 4, 3, 0, 2, 1, 3, 2, 1, 1, 2, 1, 0, 1, 3, 3, 4, 0, 4, 2, 3, 0, 1, 0, 2, 1, 4, 4, 1, 3, 0, 0, 0, 0, 2, 2, 0, 3, 0, 4, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 4, 4, 2, 4, 1, 4, 1, 3, 3, 1, 4, 1, 2, 0, 1, 4, 2, 2, 2, 0, 1, 2, 3, 1, 3, 3, 0, 0, 0, 1, 1, 3, 4, 4, 1, 1, 3, 1, 4, 4, 2, 0, 3, 0, 0, 3, 2, 1, 4, 2, 1, 0, 3, 4, 1, 2, 4, 3, 0, 4, 3, 3, 3, 0, 4, 3, 0, 1, 3, 1, 2, 3, 1, 1, 3, 1, 1, 3, 4, 2, 2, 0, 0, 1, 0, 2, 0, 4, 0, 3, 4, 0, 1, 3, 4, 0, 4, 3, 2, 3, 1, 2, 0, 1, 4, 2, 0, 4, 2, 2, 0, 3, 0, 3, 3, 4, 2, 4, 0, 3, 3, 4, 4, 3, 2, 4, 4, 3, 1, 1, 4, 0, 1, 1, 4, 3, 3, 4, 4, 1, 0, 0, 4, 3, 2, 1, 1, 2, 0, 4, 1, 0, 1, 2, 4, 1, 1, 4, 2, 1, 0, 2, 2, 3, 0, 4, 2, 3, 2, 3, 1, 3, 0, 4, 0, 1, 0, 3, 3, 1, 1, 2, 2, 1, 2, 0, 1, 1, 3, 3, 2, 2, 0, 1, 1, 0, 4, 3, 3, 4] pubkeycol1314 = [1, 0, 1, 4, 3, 4, 4, 1, 2, 2, 4, 4, 4, 0, 4, 1, 4, 2, 1, 3, 4, 1, 1, 1, 3, 1, 2, 2, 2, 0, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 3, 1, 1, 3, 1, 4, 2, 0, 3, 1, 0, 3, 3, 0, 2, 2, 0, 3, 2, 4, 1, 0, 0, 0, 1, 2, 0, 0, 3, 4, 0, 1, 3, 2, 0, 3, 0, 0, 0, 4, 1, 2, 2, 2, 1, 4, 0, 1, 3, 4, 1, 4, 1, 1, 1, 4, 3, 4, 3, 4, 3, 1, 4, 2, 4, 2, 4, 0, 2, 1, 2, 0, 0, 3, 4, 0, 1, 0, 4, 4, 0, 4, 1, 4, 0, 1, 4, 0, 0, 3, 2, 0, 0, 4, 4, 3, 2, 1, 2, 0, 4, 4, 4, 4, 3, 0, 1, 2, 3, 2, 3, 3, 4, 3, 2, 4, 4, 4, 0, 2, 3, 1, 3, 2, 1, 3, 1, 3, 2, 2, 4, 2, 3, 4, 4, 0, 0, 3, 3, 4, 4, 3, 4, 0, 2, 1, 4, 3, 0, 3, 3, 2, 0, 3, 2, 1, 2, 4, 0, 0, 3, 1, 1, 1, 0, 2, 0, 3, 3, 0, 0, 3, 3, 2, 1, 0, 3, 4, 0, 0, 0, 0, 4, 0, 2, 3, 3, 2, 2, 1, 4, 4, 2, 2, 1, 2, 3, 3, 0, 4, 4, 4, 2, 4, 4, 1, 0, 3, 0, 3, 2, 0, 4, 3, 4, 4, 1, 0, 4, 3, 4, 1, 4, 1, 0, 2, 3, 0, 2, 1, 0, 3, 2, 2, 4, 2, 2, 0, 4, 3, 1, 2, 4, 1, 2, 1, 0, 0, 2, 1, 0, 3, 3, 0, 3, 2, 3, 1, 1, 0, 3, 2, 4, 1, 1, 2, 1, 4, 3, 0, 2, 3, 3, 2, 3, 0, 0, 2, 4, 1] pubkeycol1315 = [4, 4, 2, 4, 4, 0, 2, 0, 3, 0, 3, 3, 3, 1, 3, 4, 4, 1, 2, 0, 1, 4, 4, 4, 4, 2, 2, 0, 2, 0, 2, 1, 0, 4, 0, 3, 1, 4, 3, 2, 1, 1, 2, 0, 1, 1, 4, 2, 3, 2, 4, 1, 2, 0, 4, 0, 4, 4, 1, 1, 3, 4, 4, 0, 4, 2, 4, 1, 2, 3, 0, 2, 4, 4, 0, 0, 3, 2, 1, 0, 2, 4, 4, 0, 2, 3, 2, 4, 3, 2, 3, 0, 3, 3, 3, 3, 0, 1, 0, 1, 3, 2, 0, 1, 2, 1, 2, 1, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 1, 1, 1, 2, 4, 4, 3, 3, 3, 1, 4, 0, 3, 3, 0, 3, 1, 2, 1, 3, 3, 2, 2, 0, 0, 1, 3, 3, 4, 0, 1, 2, 1, 2, 2, 3, 2, 4, 4, 4, 0, 4, 2, 4, 4, 1, 0, 3, 3, 3, 2, 3, 4, 1, 0, 2, 3, 2, 0, 0, 0, 0, 3, 3, 0, 1, 4, 1, 4, 4, 2, 3, 1, 0, 2, 3, 1, 2, 1, 3, 0, 3, 4, 0, 2, 2, 0, 2, 0, 3, 3, 2, 1, 1, 4, 2, 3, 4, 2, 1, 4, 0, 4, 4, 4, 2, 1, 0, 2, 1, 0, 0, 4, 3, 0, 3, 1, 2, 1, 0, 3, 4, 1, 1, 2, 1, 0, 1, 0, 0, 3, 4, 2, 0, 1, 3, 3, 1, 0, 1, 3, 2, 4, 4, 3, 1, 3, 4, 0, 3, 3, 0, 4, 1, 0, 1, 4, 1, 3, 4, 3, 0, 3, 3, 1, 1, 4, 3, 2, 1, 4, 0, 3, 1, 1, 3, 3, 0, 3, 1, 4, 4, 3, 0, 3, 2, 0, 4, 2, 1, 1, 0, 2, 3, 2, 0, 0, 4, 4, 0, 3, 4] pubkeycol1316 = [4, 2, 4, 4, 0, 1, 3, 4, 4, 1, 4, 4, 3, 4, 2, 3, 3, 0, 1, 1, 2, 1, 0, 1, 4, 2, 4, 3, 3, 0, 4, 3, 3, 0, 0, 1, 4, 2, 1, 0, 3, 1, 0, 3, 1, 3, 4, 4, 1, 0, 4, 3, 3, 1, 2, 2, 0, 2, 3, 4, 2, 0, 2, 0, 1, 3, 2, 1, 4, 3, 1, 4, 3, 0, 4, 0, 0, 1, 4, 0, 1, 2, 0, 0, 4, 0, 0, 0, 2, 2, 1, 4, 4, 1, 3, 3, 1, 2, 2, 3, 1, 1, 2, 4, 2, 0, 1, 1, 2, 4, 2, 2, 3, 3, 2, 0, 3, 2, 1, 0, 2, 1, 1, 4, 1, 0, 1, 3, 0, 4, 2, 1, 4, 2, 4, 2, 0, 3, 1, 2, 0, 3, 2, 3, 0, 3, 4, 0, 3, 0, 3, 1, 3, 1, 0, 3, 3, 1, 1, 4, 2, 3, 4, 4, 4, 3, 4, 4, 2, 0, 4, 0, 0, 2, 4, 3, 3, 2, 2, 0, 3, 1, 0, 1, 2, 0, 4, 1, 3, 4, 4, 1, 0, 3, 0, 2, 3, 4, 0, 3, 4, 3, 3, 1, 3, 3, 2, 4, 2, 1, 2, 1, 2, 3, 3, 4, 3, 4, 1, 4, 1, 2, 0, 2, 1, 2, 3, 1, 3, 1, 1, 0, 0, 0, 4, 3, 0, 2, 4, 4, 1, 2, 4, 1, 0, 3, 1, 4, 3, 3, 0, 4, 2, 2, 1, 1, 0, 2, 1, 2, 3, 4, 0, 3, 2, 2, 4, 0, 4, 2, 3, 4, 0, 4, 3, 2, 0, 1, 3, 4, 0, 0, 1, 3, 1, 0, 0, 0, 3, 4, 3, 3, 2, 2, 2, 3, 1, 0, 4, 2, 3, 0, 0, 1, 0, 1, 4, 3, 3, 3, 3, 4, 0, 2, 3, 3, 0, 3, 1, 4] pubkeycol1317 = [4, 2, 1, 0, 2, 0, 0, 2, 4, 3, 4, 2, 0, 2, 1, 2, 0, 0, 3, 1, 1, 4, 1, 3, 0, 0, 2, 0, 4, 3, 4, 1, 2, 4, 3, 1, 2, 3, 2, 3, 0, 4, 4, 1, 2, 1, 4, 4, 2, 3, 1, 3, 1, 0, 3, 3, 1, 3, 0, 0, 2, 1, 4, 2, 0, 1, 2, 1, 4, 3, 0, 2, 4, 2, 0, 2, 1, 1, 3, 1, 1, 3, 0, 0, 3, 4, 4, 1, 2, 4, 1, 1, 4, 4, 2, 3, 1, 0, 0, 1, 3, 4, 1, 2, 0, 2, 2, 4, 2, 3, 3, 0, 4, 2, 1, 3, 4, 0, 3, 2, 1, 0, 3, 3, 3, 3, 3, 0, 3, 2, 1, 3, 0, 3, 0, 3, 1, 1, 3, 3, 3, 1, 3, 3, 0, 0, 0, 3, 0, 0, 4, 1, 1, 0, 2, 2, 0, 0, 3, 3, 2, 1, 2, 1, 0, 1, 2, 3, 4, 1, 3, 2, 3, 1, 1, 0, 0, 0, 0, 4, 2, 3, 0, 2, 2, 3, 3, 4, 4, 0, 2, 3, 1, 4, 3, 0, 4, 2, 0, 0, 3, 1, 1, 2, 4, 4, 3, 4, 1, 4, 1, 3, 1, 3, 0, 3, 0, 4, 3, 2, 4, 2, 3, 4, 4, 2, 3, 4, 0, 2, 0, 1, 2, 4, 2, 1, 0, 4, 0, 2, 0, 2, 1, 1, 4, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 4, 1, 3, 3, 3, 3, 1, 0, 3, 4, 3, 3, 0, 0, 1, 2, 3, 0, 0, 3, 0, 2, 2, 1, 4, 2, 2, 2, 0, 4, 4, 3, 1, 3, 1, 0, 4, 0, 3, 3, 1, 0, 4, 3, 0, 2, 4, 0, 3, 4, 4, 3, 3, 0, 0, 1, 1, 3, 1, 1, 2, 0, 1, 1, 0] pubkeycol1318 = [4, 1, 4, 2, 2, 3, 0, 2, 0, 2, 4, 0, 3, 4, 1, 2, 3, 0, 3, 4, 3, 3, 1, 4, 4, 1, 0, 4, 0, 2, 0, 3, 4, 3, 3, 0, 3, 3, 0, 2, 1, 0, 1, 1, 0, 1, 4, 0, 0, 0, 2, 1, 0, 0, 2, 3, 1, 1, 4, 2, 0, 3, 0, 2, 1, 0, 2, 4, 0, 2, 4, 2, 1, 1, 3, 4, 3, 3, 1, 4, 3, 1, 4, 2, 2, 2, 1, 3, 2, 4, 3, 0, 1, 4, 4, 3, 1, 1, 4, 4, 0, 0, 1, 3, 3, 0, 4, 3, 4, 1, 2, 4, 2, 3, 0, 2, 4, 1, 3, 2, 4, 4, 3, 1, 3, 1, 2, 2, 2, 1, 4, 2, 1, 0, 3, 3, 4, 2, 0, 0, 3, 3, 1, 0, 0, 3, 4, 1, 2, 0, 4, 2, 2, 1, 4, 4, 2, 0, 3, 0, 3, 3, 3, 4, 0, 2, 4, 2, 3, 4, 0, 0, 4, 4, 4, 2, 0, 0, 1, 1, 3, 2, 1, 2, 0, 0, 1, 0, 3, 1, 3, 3, 2, 4, 0, 2, 1, 1, 3, 0, 3, 2, 4, 0, 1, 2, 1, 0, 1, 3, 4, 1, 2, 4, 4, 2, 4, 1, 4, 3, 2, 4, 1, 4, 1, 0, 2, 0, 3, 4, 4, 4, 4, 2, 2, 3, 1, 0, 2, 2, 0, 4, 1, 0, 3, 3, 4, 1, 3, 3, 1, 0, 3, 0, 1, 0, 4, 1, 3, 1, 2, 1, 3, 0, 3, 0, 4, 1, 2, 2, 3, 3, 1, 1, 0, 0, 1, 2, 4, 2, 0, 2, 1, 4, 2, 4, 2, 1, 2, 3, 1, 0, 3, 0, 4, 2, 3, 2, 1, 3, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 4, 2, 3, 4, 2, 0, 4, 3, 4] pubkeycol1319 = [3, 2, 4, 1, 3, 1, 4, 1, 3, 1, 0, 4, 0, 3, 3, 4, 3, 4, 4, 4, 2, 4, 0, 0, 4, 4, 4, 1, 3, 4, 4, 0, 2, 0, 1, 4, 0, 2, 1, 4, 4, 2, 3, 1, 1, 2, 0, 0, 3, 3, 3, 4, 1, 4, 0, 2, 3, 1, 4, 1, 0, 4, 1, 3, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 3, 1, 2, 0, 2, 2, 3, 4, 1, 1, 4, 3, 2, 4, 1, 4, 2, 0, 2, 1, 4, 1, 4, 4, 2, 3, 1, 3, 1, 2, 4, 2, 4, 3, 2, 0, 0, 3, 0, 3, 2, 4, 1, 1, 2, 4, 0, 1, 4, 0, 2, 2, 1, 4, 4, 0, 4, 1, 2, 3, 0, 4, 0, 3, 2, 0, 4, 0, 4, 1, 1, 3, 4, 1, 4, 3, 1, 0, 2, 3, 2, 1, 1, 1, 1, 3, 4, 2, 0, 4, 4, 1, 1, 3, 4, 2, 4, 3, 2, 2, 3, 0, 1, 1, 1, 2, 0, 3, 4, 2, 4, 1, 2, 4, 3, 2, 1, 2, 1, 4, 2, 2, 0, 4, 4, 1, 1, 4, 2, 0, 0, 4, 3, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 4, 2, 3, 1, 1, 2, 2, 4, 3, 3, 2, 2, 3, 3, 3, 0, 1, 0, 4, 3, 4, 2, 4, 4, 2, 3, 2, 4, 2, 0, 2, 1, 0, 3, 3, 1, 4, 2, 1, 3, 1, 2, 1, 3, 2, 3, 4, 0, 0, 2, 1, 2, 1, 4, 4, 4, 1, 4, 4, 1, 0, 0, 1, 3, 0, 4, 2, 3, 3, 4, 1, 2, 4, 2, 4, 3, 3, 2, 2, 2, 4, 0, 3, 0, 2, 3, 3, 1, 2, 3, 0, 3, 2, 0, 1, 1, 3, 2, 2, 1, 1, 4] pubkeycol1320 = [0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 4, 2, 2, 4, 2, 3, 1, 4, 0, 0, 4, 1, 0, 3, 1, 1, 4, 1, 4, 3, 2, 4, 3, 4, 3, 3, 2, 2, 2, 3, 4, 2, 4, 0, 4, 1, 2, 2, 1, 0, 4, 2, 4, 0, 1, 4, 3, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 0, 2, 4, 3, 3, 3, 2, 2, 0, 2, 2, 1, 3, 4, 0, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 3, 0, 4, 0, 2, 4, 1, 2, 4, 2, 1, 2, 1, 2, 3, 0, 4, 3, 1, 2, 0, 4, 2, 3, 0, 3, 4, 2, 2, 0, 2, 2, 0, 1, 1, 4, 4, 3, 1, 0, 2, 1, 0, 1, 2, 3, 3, 1, 2, 2, 3, 2, 0, 4, 3, 4, 3, 1, 1, 4, 4, 3, 3, 3, 4, 0, 2, 2, 4, 2, 0, 4, 2, 2, 2, 3, 1, 4, 1, 4, 1, 0, 0, 4, 0, 4, 0, 3, 4, 1, 1, 0, 3, 1, 0, 1, 1, 3, 4, 3, 2, 3, 0, 2, 4, 1, 2, 4, 0, 3, 2, 2, 3, 4, 4, 1, 3, 2, 4, 1, 2, 3, 3, 1, 4, 1, 4, 3, 4, 3, 1, 1, 4, 2, 3, 0, 4, 3, 1, 2, 4, 3, 2, 3, 1, 0, 0, 4, 2, 2, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 4, 1, 1, 1, 4, 0, 2, 0, 0, 1, 0, 2, 2, 1, 3, 3, 3, 4, 2, 0, 3, 2, 1, 1, 3, 1, 0, 3, 1, 0, 4, 1, 4, 1, 0, 4, 0, 4, 1, 2, 4, 3, 4, 2, 3, 2, 3, 0, 3, 0, 2, 0, 4, 4, 2, 0, 3, 1, 1, 1, 0, 3] pubkeycol1321 = [0, 1, 3, 2, 3, 0, 4, 0, 1, 3, 0, 0, 4, 1, 4, 0, 3, 0, 3, 3, 2, 3, 0, 4, 0, 4, 2, 0, 3, 3, 4, 1, 0, 3, 2, 1, 2, 0, 3, 4, 3, 4, 2, 3, 4, 2, 0, 1, 3, 1, 3, 3, 3, 0, 4, 4, 3, 2, 0, 4, 0, 4, 0, 4, 4, 0, 1, 1, 2, 4, 2, 1, 1, 1, 4, 1, 2, 4, 3, 1, 2, 4, 4, 0, 2, 0, 1, 0, 4, 0, 4, 1, 1, 2, 3, 0, 4, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 0, 4, 3, 3, 3, 3, 0, 2, 4, 1, 2, 3, 1, 4, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 3, 0, 4, 2, 3, 1, 0, 0, 0, 0, 0, 0, 4, 2, 3, 0, 4, 2, 4, 4, 2, 2, 2, 4, 3, 3, 0, 4, 2, 4, 2, 1, 2, 3, 1, 0, 4, 3, 4, 0, 4, 2, 1, 2, 3, 3, 0, 3, 3, 1, 4, 1, 2, 4, 1, 1, 0, 2, 0, 1, 2, 0, 3, 0, 2, 1, 1, 2, 4, 0, 1, 0, 0, 0, 1, 2, 2, 4, 3, 4, 0, 4, 1, 0, 2, 3, 2, 0, 4, 2, 2, 3, 0, 3, 2, 1, 4, 4, 1, 0, 2, 1, 4, 0, 0, 3, 4, 4, 0, 2, 2, 4, 0, 1, 1, 2, 2, 0, 3, 2, 3, 4, 3, 1, 0, 4, 3, 4, 4, 0, 4, 2, 3, 3, 2, 3, 0, 4, 0, 3, 1, 0, 1, 1, 1, 1, 1, 0, 3, 2, 4, 2, 3, 1, 4, 1, 3, 1, 4, 0, 1, 0, 0, 1, 4, 3, 1, 3, 4, 3, 1, 0, 2, 1, 1, 1, 0, 1, 2, 3, 3, 2, 1, 0, 2, 1, 3, 1] pubkeycol1322 = [3, 0, 0, 4, 3, 4, 3, 1, 2, 3, 0, 3, 1, 1, 2, 3, 2, 4, 1, 3, 2, 3, 0, 4, 0, 3, 1, 0, 1, 2, 2, 3, 4, 3, 1, 3, 1, 0, 0, 4, 3, 1, 4, 3, 4, 3, 1, 1, 1, 3, 1, 2, 4, 2, 2, 1, 4, 0, 3, 2, 1, 3, 0, 2, 0, 3, 1, 0, 1, 3, 2, 2, 2, 3, 4, 2, 4, 2, 0, 2, 4, 3, 4, 2, 2, 0, 2, 3, 0, 4, 4, 4, 2, 3, 4, 1, 3, 3, 2, 2, 3, 3, 0, 1, 3, 3, 4, 2, 4, 3, 2, 1, 1, 1, 1, 3, 0, 1, 1, 0, 4, 3, 2, 0, 1, 4, 1, 4, 4, 3, 2, 0, 4, 1, 3, 4, 4, 3, 4, 3, 2, 2, 3, 4, 4, 4, 0, 1, 1, 1, 4, 1, 0, 1, 2, 3, 3, 2, 3, 4, 3, 3, 0, 0, 0, 3, 2, 0, 3, 1, 1, 4, 4, 3, 1, 0, 0, 2, 0, 0, 4, 4, 2, 3, 2, 1, 3, 4, 3, 1, 1, 1, 1, 4, 3, 1, 2, 3, 2, 0, 2, 2, 4, 4, 3, 3, 2, 0, 3, 4, 1, 0, 0, 2, 2, 3, 3, 1, 0, 2, 0, 3, 1, 0, 2, 0, 3, 4, 0, 4, 2, 1, 3, 4, 4, 2, 2, 4, 1, 0, 1, 0, 2, 4, 0, 3, 3, 2, 1, 0, 4, 2, 1, 4, 0, 3, 0, 3, 0, 0, 2, 2, 3, 0, 0, 4, 3, 1, 0, 4, 1, 0, 2, 4, 1, 2, 2, 2, 4, 0, 0, 4, 1, 3, 4, 2, 3, 3, 2, 3, 1, 4, 2, 2, 1, 3, 4, 1, 4, 4, 0, 3, 2, 1, 1, 1, 0, 2, 2, 4, 0, 3, 3, 0, 0, 0, 1, 2, 1, 0] pubkeycol1323 = [0, 4, 2, 1, 3, 0, 4, 0, 4, 3, 3, 2, 3, 1, 1, 1, 3, 2, 2, 3, 4, 0, 2, 3, 2, 0, 3, 1, 3, 4, 0, 4, 1, 4, 3, 1, 0, 4, 2, 4, 2, 0, 0, 0, 1, 3, 4, 1, 1, 1, 3, 3, 1, 0, 3, 1, 0, 1, 3, 3, 2, 2, 1, 2, 3, 4, 2, 2, 4, 4, 2, 3, 0, 2, 4, 3, 4, 0, 4, 2, 4, 1, 4, 3, 1, 1, 4, 1, 1, 3, 2, 3, 1, 0, 4, 2, 2, 0, 3, 4, 0, 4, 0, 1, 0, 3, 1, 3, 4, 4, 4, 2, 2, 3, 2, 1, 2, 3, 0, 2, 4, 4, 3, 0, 3, 3, 1, 0, 4, 2, 4, 4, 3, 4, 4, 3, 1, 2, 4, 3, 2, 1, 3, 0, 4, 3, 0, 2, 2, 1, 3, 0, 2, 2, 2, 0, 3, 2, 0, 2, 2, 2, 1, 3, 2, 0, 2, 1, 2, 2, 3, 4, 0, 4, 2, 4, 4, 2, 0, 3, 2, 1, 3, 3, 1, 4, 1, 1, 2, 3, 3, 0, 4, 1, 4, 1, 4, 0, 0, 0, 4, 3, 2, 0, 0, 0, 3, 2, 0, 0, 0, 3, 3, 2, 4, 2, 4, 4, 2, 2, 1, 1, 3, 4, 3, 3, 4, 4, 2, 1, 1, 1, 2, 1, 3, 4, 4, 3, 1, 2, 2, 4, 3, 4, 2, 3, 2, 3, 0, 4, 4, 1, 0, 1, 4, 4, 2, 1, 1, 0, 1, 3, 1, 1, 0, 2, 2, 3, 4, 0, 0, 0, 2, 4, 0, 2, 0, 4, 3, 3, 2, 0, 3, 1, 1, 1, 4, 4, 4, 4, 1, 0, 2, 0, 2, 3, 4, 3, 0, 0, 4, 3, 1, 2, 4, 2, 0, 1, 0, 0, 2, 1, 3, 2, 0, 1, 2, 2, 3, 1] pubkeycol1324 = [3, 0, 2, 2, 1, 0, 0, 1, 1, 2, 4, 2, 3, 3, 3, 2, 1, 1, 0, 2, 3, 2, 0, 1, 4, 0, 4, 4, 2, 4, 4, 4, 4, 4, 1, 3, 0, 4, 3, 1, 4, 4, 0, 1, 3, 0, 4, 1, 1, 4, 4, 3, 4, 2, 2, 3, 0, 1, 2, 3, 4, 0, 1, 0, 2, 4, 0, 2, 2, 1, 2, 3, 0, 2, 2, 3, 4, 0, 4, 0, 4, 1, 3, 4, 4, 4, 1, 4, 1, 2, 3, 0, 1, 4, 2, 4, 2, 2, 2, 0, 3, 3, 0, 1, 1, 3, 3, 0, 0, 4, 2, 3, 3, 2, 0, 3, 2, 1, 2, 2, 1, 2, 3, 0, 3, 3, 1, 4, 1, 0, 1, 1, 1, 0, 1, 0, 3, 2, 0, 2, 2, 1, 4, 4, 4, 4, 2, 0, 2, 2, 1, 2, 2, 0, 2, 4, 2, 3, 1, 1, 0, 3, 0, 2, 0, 4, 3, 2, 1, 3, 4, 0, 3, 2, 0, 3, 2, 0, 2, 3, 1, 1, 3, 3, 0, 3, 1, 2, 1, 1, 3, 2, 2, 1, 4, 3, 4, 4, 1, 4, 2, 4, 0, 4, 0, 2, 4, 2, 3, 1, 3, 4, 1, 0, 0, 0, 0, 4, 2, 1, 0, 2, 1, 1, 3, 1, 0, 4, 2, 1, 4, 4, 2, 3, 0, 1, 2, 2, 2, 4, 2, 4, 2, 0, 2, 1, 2, 0, 1, 1, 4, 3, 1, 0, 3, 1, 2, 2, 1, 3, 2, 0, 0, 0, 0, 3, 4, 1, 1, 1, 2, 4, 3, 4, 0, 0, 2, 0, 1, 0, 3, 4, 1, 0, 2, 2, 3, 1, 2, 0, 3, 4, 3, 0, 4, 4, 0, 2, 2, 1, 4, 2, 2, 1, 1, 4, 0, 1, 2, 0, 0, 2, 3, 2, 0, 3, 2, 1, 0, 3] pubkeycol1325 = [1, 3, 4, 2, 0, 2, 0, 3, 3, 1, 1, 3, 2, 3, 0, 0, 4, 0, 3, 0, 1, 4, 4, 2, 2, 0, 2, 0, 2, 4, 1, 0, 4, 3, 1, 3, 1, 1, 2, 0, 2, 4, 4, 0, 1, 2, 3, 0, 2, 0, 1, 3, 0, 1, 4, 3, 4, 2, 4, 0, 1, 4, 3, 4, 4, 2, 4, 0, 2, 0, 3, 1, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 4, 3, 2, 0, 2, 0, 1, 1, 0, 1, 2, 3, 1, 3, 2, 3, 3, 4, 3, 3, 1, 3, 4, 1, 0, 2, 3, 2, 0, 1, 1, 0, 0, 3, 4, 1, 1, 2, 3, 0, 1, 4, 2, 4, 1, 2, 1, 2, 3, 2, 3, 3, 0, 1, 0, 2, 2, 1, 4, 3, 3, 2, 3, 0, 1, 0, 1, 1, 2, 3, 1, 4, 0, 4, 1, 2, 0, 1, 0, 3, 0, 1, 0, 4, 0, 1, 2, 1, 1, 1, 3, 0, 2, 2, 0, 0, 4, 3, 3, 2, 2, 4, 2, 4, 1, 0, 1, 2, 3, 0, 4, 2, 2, 4, 0, 4, 4, 3, 0, 1, 1, 0, 4, 4, 2, 4, 2, 3, 3, 0, 0, 4, 3, 2, 4, 1, 2, 1, 0, 3, 2, 0, 0, 3, 4, 4, 1, 4, 0, 3, 2, 1, 2, 3, 0, 4, 4, 0, 2, 1, 3, 3, 4, 3, 1, 4, 1, 2, 3, 4, 2, 4, 3, 3, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 3, 0, 2, 0, 1, 2, 2, 4, 1, 3, 0, 3, 0, 3, 3, 3, 2, 2, 2, 0, 1, 4, 2, 3, 4, 1, 4, 0, 0, 0, 3, 0, 4, 3, 3, 4, 4, 2, 2, 0, 3, 2, 0] pubkeycol1326 = [2, 1, 4, 0, 3, 4, 2, 4, 3, 4, 0, 4, 0, 2, 3, 0, 3, 2, 0, 1, 2, 2, 0, 3, 2, 2, 1, 1, 1, 1, 0, 3, 3, 4, 3, 1, 3, 3, 0, 3, 1, 4, 4, 4, 3, 4, 2, 2, 4, 2, 3, 1, 1, 1, 3, 0, 1, 0, 4, 3, 4, 3, 2, 1, 2, 4, 0, 3, 1, 3, 1, 3, 1, 1, 4, 1, 3, 2, 1, 4, 1, 0, 0, 2, 1, 4, 2, 3, 0, 3, 2, 2, 2, 0, 4, 0, 4, 2, 3, 2, 0, 0, 3, 4, 0, 0, 3, 2, 3, 0, 4, 1, 2, 0, 2, 4, 0, 0, 0, 0, 4, 1, 4, 4, 3, 3, 1, 2, 1, 0, 4, 4, 0, 3, 0, 3, 2, 2, 4, 3, 0, 2, 1, 2, 3, 3, 1, 2, 0, 4, 1, 1, 0, 1, 4, 0, 4, 3, 1, 3, 4, 4, 3, 3, 2, 3, 1, 0, 0, 1, 1, 0, 4, 2, 1, 1, 4, 4, 0, 1, 0, 2, 3, 3, 1, 2, 3, 3, 2, 0, 0, 3, 0, 1, 2, 2, 3, 1, 4, 2, 2, 1, 0, 1, 0, 3, 2, 0, 0, 0, 0, 1, 1, 3, 0, 3, 2, 1, 2, 1, 3, 0, 3, 4, 0, 1, 0, 1, 3, 4, 4, 1, 1, 0, 2, 1, 2, 0, 4, 2, 0, 4, 0, 1, 4, 3, 0, 3, 2, 2, 3, 2, 1, 2, 4, 2, 0, 1, 4, 2, 4, 1, 0, 0, 0, 0, 4, 0, 3, 0, 4, 2, 2, 1, 0, 3, 2, 2, 3, 4, 4, 1, 1, 2, 2, 3, 3, 4, 2, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 3, 1, 0, 2, 3, 4, 0, 0, 4, 1, 0, 4, 3, 2, 3, 4, 3, 4, 4, 4, 1] pubkeycol1327 = [1, 4, 0, 3, 4, 1, 3, 0, 0, 0, 0, 1, 0, 4, 0, 0, 1, 3, 0, 0, 2, 1, 4, 4, 0, 3, 1, 3, 2, 3, 0, 0, 2, 1, 0, 4, 3, 4, 4, 2, 4, 3, 2, 1, 1, 2, 0, 0, 2, 2, 3, 3, 4, 4, 2, 3, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 4, 1, 1, 3, 4, 3, 2, 2, 0, 1, 0, 2, 4, 4, 1, 0, 3, 3, 4, 3, 3, 1, 2, 0, 0, 1, 2, 3, 1, 1, 2, 1, 4, 1, 2, 3, 1, 1, 4, 2, 4, 0, 2, 3, 4, 2, 1, 0, 4, 2, 1, 2, 4, 2, 0, 4, 3, 4, 0, 0, 3, 4, 2, 1, 4, 0, 4, 2, 0, 2, 3, 0, 0, 4, 0, 3, 1, 4, 0, 3, 4, 2, 0, 1, 2, 1, 3, 4, 1, 2, 0, 3, 3, 3, 2, 2, 1, 4, 1, 0, 0, 0, 1, 4, 1, 3, 3, 3, 2, 2, 4, 1, 0, 4, 1, 0, 1, 0, 4, 2, 1, 0, 0, 1, 2, 3, 3, 4, 4, 0, 2, 0, 4, 4, 3, 4, 1, 1, 4, 0, 2, 2, 1, 4, 3, 0, 2, 1, 0, 2, 0, 2, 1, 4, 0, 2, 1, 3, 1, 1, 1, 4, 2, 0, 2, 3, 1, 2, 2, 3, 0, 3, 1, 3, 2, 2, 1, 0, 3, 4, 3, 0, 1, 4, 4, 3, 4, 0, 2, 4, 0, 1, 2, 1, 4, 3, 1, 0, 1, 2, 4, 0, 1, 4, 4, 2, 0, 3, 1, 1, 0, 3, 2, 4, 0, 0, 3, 2, 3, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 4, 1, 4, 3, 4, 0, 2, 0, 4, 0, 0, 3, 2, 1, 1, 1, 3, 1, 0, 3] pubkeycol1328 = [2, 2, 2, 0, 4, 3, 2, 4, 1, 1, 1, 1, 4, 0, 0, 0, 0, 4, 1, 2, 1, 0, 3, 2, 4, 3, 1, 4, 4, 3, 3, 3, 3, 3, 1, 1, 2, 3, 4, 0, 3, 4, 2, 0, 3, 4, 3, 2, 2, 2, 0, 2, 3, 4, 2, 4, 2, 3, 4, 2, 2, 2, 3, 2, 1, 3, 0, 0, 4, 3, 2, 3, 2, 2, 1, 2, 3, 0, 1, 2, 3, 4, 4, 1, 3, 2, 1, 0, 0, 2, 2, 0, 2, 4, 2, 3, 2, 1, 4, 4, 2, 0, 1, 2, 0, 2, 3, 2, 3, 0, 1, 3, 4, 4, 3, 4, 0, 3, 1, 3, 3, 2, 1, 0, 1, 1, 1, 1, 2, 2, 4, 1, 1, 3, 0, 2, 2, 4, 0, 1, 3, 4, 3, 3, 3, 4, 4, 4, 4, 0, 1, 2, 2, 3, 3, 0, 0, 3, 0, 3, 1, 3, 1, 3, 2, 2, 3, 3, 4, 1, 0, 1, 3, 3, 0, 0, 1, 4, 2, 4, 1, 4, 1, 3, 3, 3, 2, 4, 1, 4, 0, 0, 1, 4, 1, 4, 3, 2, 2, 1, 3, 1, 1, 1, 3, 4, 0, 1, 1, 0, 3, 0, 0, 2, 0, 4, 1, 1, 4, 0, 3, 1, 3, 0, 0, 0, 1, 1, 4, 2, 0, 0, 2, 1, 2, 2, 2, 0, 3, 0, 3, 3, 0, 3, 1, 4, 2, 4, 2, 0, 0, 0, 2, 1, 1, 1, 0, 4, 3, 3, 3, 2, 0, 2, 1, 1, 0, 2, 1, 1, 3, 1, 0, 1, 3, 2, 3, 4, 2, 3, 4, 1, 1, 4, 2, 2, 1, 4, 2, 3, 4, 1, 0, 3, 2, 0, 3, 2, 1, 2, 2, 2, 0, 0, 4, 0, 4, 2, 1, 4, 4, 3, 4, 4, 1, 3, 1, 1, 0, 0] pubkeycol1329 = [0, 0, 3, 3, 3, 1, 4, 3, 3, 4, 1, 3, 2, 4, 2, 3, 3, 3, 3, 4, 4, 1, 3, 3, 3, 1, 4, 1, 0, 3, 2, 3, 4, 2, 2, 4, 0, 4, 0, 3, 4, 0, 1, 1, 1, 4, 2, 0, 1, 0, 2, 1, 1, 0, 4, 1, 2, 2, 2, 3, 0, 0, 1, 4, 4, 2, 3, 1, 0, 3, 1, 2, 0, 0, 3, 0, 2, 0, 1, 1, 4, 3, 1, 3, 2, 1, 1, 0, 2, 2, 4, 2, 4, 0, 0, 4, 1, 3, 1, 0, 4, 3, 3, 0, 3, 2, 3, 2, 0, 1, 4, 2, 2, 2, 3, 1, 4, 3, 0, 3, 0, 2, 3, 0, 2, 4, 0, 2, 0, 0, 2, 3, 0, 0, 4, 1, 3, 4, 2, 2, 1, 3, 3, 0, 4, 0, 3, 3, 0, 2, 2, 4, 2, 4, 0, 3, 1, 3, 0, 4, 1, 3, 4, 1, 2, 4, 3, 1, 4, 1, 3, 4, 4, 1, 2, 1, 0, 3, 3, 3, 4, 0, 1, 4, 0, 1, 0, 3, 4, 3, 0, 4, 1, 3, 0, 4, 0, 4, 1, 0, 1, 2, 1, 2, 2, 2, 3, 1, 4, 4, 4, 0, 4, 2, 0, 1, 0, 1, 3, 3, 4, 1, 3, 2, 4, 0, 0, 2, 0, 0, 4, 0, 3, 1, 3, 2, 2, 4, 2, 4, 0, 4, 3, 4, 1, 1, 2, 4, 2, 1, 3, 3, 2, 0, 1, 0, 0, 4, 2, 3, 3, 1, 1, 0, 4, 0, 3, 1, 1, 4, 2, 1, 4, 3, 4, 0, 4, 1, 3, 2, 1, 3, 4, 0, 2, 1, 2, 3, 4, 1, 2, 3, 4, 2, 3, 4, 2, 1, 4, 2, 3, 1, 1, 0, 1, 2, 4, 1, 3, 1, 2, 3, 0, 0, 1, 4, 2, 4, 4, 4] pubkeycol1330 = [0, 3, 1, 0, 2, 2, 3, 4, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 4, 0, 4, 4, 4, 4, 1, 4, 4, 2, 3, 2, 3, 3, 2, 4, 0, 1, 3, 1, 0, 3, 4, 1, 4, 3, 0, 3, 3, 4, 2, 4, 3, 3, 1, 1, 3, 2, 1, 2, 3, 0, 1, 2, 2, 2, 1, 2, 1, 1, 4, 4, 1, 0, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 0, 2, 4, 1, 4, 1, 0, 0, 3, 4, 2, 4, 2, 2, 0, 4, 1, 1, 1, 4, 1, 4, 4, 1, 3, 0, 1, 1, 0, 4, 3, 1, 1, 1, 0, 0, 0, 3, 0, 4, 0, 1, 4, 1, 4, 1, 1, 1, 3, 2, 3, 0, 0, 0, 0, 4, 1, 0, 4, 3, 3, 4, 2, 0, 4, 0, 2, 4, 2, 4, 4, 1, 2, 4, 2, 2, 3, 2, 4, 0, 0, 3, 1, 2, 2, 0, 4, 1, 0, 4, 3, 1, 1, 2, 3, 2, 4, 3, 4, 1, 2, 2, 1, 3, 4, 2, 0, 3, 1, 3, 3, 2, 3, 3, 1, 0, 4, 4, 1, 2, 0, 1, 3, 4, 2, 4, 3, 4, 0, 0, 3, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 3, 4, 2, 0, 3, 1, 3, 1, 3, 0, 0, 2, 4, 0, 0, 4, 2, 0, 4, 2, 3, 3, 3, 1, 4, 0, 4, 3, 4, 2, 4, 4, 2, 3, 1, 1, 4, 0, 0, 1, 3, 0, 1, 0, 3, 0, 2, 4, 3, 4, 0, 4, 3, 2, 2, 0, 0, 4, 2, 0, 2, 4, 0, 3, 4, 1, 3, 0, 4, 3, 0, 0, 3, 2, 3, 2, 4, 1, 0, 4, 2, 0, 0, 0, 4, 0, 4, 4, 3, 4, 3, 4, 4, 0] pubkeycol1331 = [0, 0, 4, 3, 2, 2, 1, 4, 2, 0, 1, 2, 4, 4, 3, 2, 4, 3, 1, 4, 0, 1, 1, 0, 1, 4, 2, 0, 3, 1, 2, 3, 2, 3, 0, 3, 2, 1, 3, 4, 0, 0, 0, 2, 0, 2, 2, 0, 4, 3, 2, 1, 4, 4, 3, 2, 0, 4, 3, 1, 0, 0, 2, 0, 3, 1, 4, 3, 2, 0, 0, 0, 2, 2, 2, 4, 2, 0, 4, 0, 0, 4, 0, 3, 0, 2, 4, 1, 4, 2, 0, 1, 3, 3, 1, 1, 0, 3, 0, 3, 1, 1, 3, 4, 4, 0, 3, 4, 1, 3, 1, 2, 4, 3, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 4, 2, 0, 1, 3, 2, 4, 2, 4, 0, 3, 2, 1, 1, 3, 2, 3, 1, 4, 2, 1, 1, 1, 2, 1, 3, 0, 4, 2, 3, 4, 0, 0, 3, 3, 1, 4, 3, 2, 2, 3, 0, 1, 1, 0, 1, 4, 2, 1, 1, 1, 4, 3, 1, 3, 4, 1, 2, 3, 0, 1, 2, 3, 1, 0, 2, 1, 3, 3, 1, 2, 3, 0, 2, 2, 3, 1, 4, 4, 4, 3, 2, 4, 1, 1, 0, 3, 2, 3, 0, 2, 1, 1, 1, 4, 1, 2, 4, 2, 3, 1, 4, 2, 1, 3, 3, 4, 4, 0, 4, 3, 1, 4, 1, 3, 2, 2, 3, 0, 2, 2, 3, 4, 2, 4, 2, 4, 4, 2, 1, 3, 2, 2, 1, 4, 0, 0, 1, 2, 2, 2, 1, 4, 3, 2, 1, 4, 4, 1, 3, 0, 3, 0, 1, 4, 3, 0, 0, 0, 1, 3, 1, 3, 1, 4, 0, 1, 1, 4, 3, 1, 1, 3, 4, 2, 2, 4, 2, 3, 3, 4, 3, 0, 1, 1, 3, 0, 0] pubkeycol1332 = [3, 1, 1, 1, 3, 3, 4, 4, 1, 1, 3, 1, 3, 2, 4, 3, 4, 1, 4, 4, 2, 4, 2, 2, 0, 2, 0, 4, 1, 3, 2, 3, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 4, 0, 3, 4, 0, 2, 3, 2, 3, 2, 2, 1, 3, 0, 1, 1, 1, 4, 0, 0, 0, 2, 1, 4, 1, 4, 1, 4, 4, 1, 4, 4, 3, 3, 0, 1, 0, 3, 1, 4, 3, 4, 0, 4, 0, 3, 4, 2, 4, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 1, 4, 3, 2, 1, 1, 3, 3, 2, 2, 3, 0, 1, 1, 0, 3, 2, 3, 3, 1, 2, 1, 3, 3, 4, 2, 2, 1, 1, 1, 4, 1, 2, 0, 4, 1, 3, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 3, 3, 4, 0, 3, 4, 2, 1, 1, 0, 3, 4, 3, 2, 1, 3, 4, 0, 1, 2, 4, 1, 3, 0, 0, 1, 1, 0, 4, 4, 0, 4, 3, 4, 2, 2, 2, 0, 4, 1, 1, 1, 4, 4, 2, 3, 4, 1, 4, 3, 1, 3, 4, 2, 0, 4, 4, 2, 2, 0, 4, 1, 1, 3, 1, 2, 4, 0, 4, 0, 0, 4, 4, 3, 2, 2, 0, 1, 0, 1, 3, 3, 4, 0, 4, 2, 1, 3, 0, 4, 4, 4, 2, 0, 0, 1, 3, 1, 3, 2, 3, 4, 4, 3, 4, 4, 2, 4, 2, 3, 3, 2, 3, 3, 3, 0, 2, 2, 1, 4, 2, 3, 3, 1, 4, 3, 3, 3, 0, 1, 4, 1, 1, 2, 4, 4, 3, 1, 3, 2, 2, 3, 2, 4, 1, 1, 2, 0, 0, 2, 0, 2, 4, 4, 2, 1, 3, 1, 0, 1, 0, 2, 0, 4, 4, 4, 2, 2, 4] pubkeycol1333 = [4, 4, 4, 0, 4, 4, 1, 1, 0, 0, 3, 4, 0, 0, 0, 3, 3, 0, 0, 1, 4, 1, 0, 2, 0, 3, 4, 2, 0, 0, 2, 0, 4, 4, 4, 0, 4, 2, 3, 4, 2, 1, 2, 1, 0, 1, 3, 4, 0, 3, 4, 4, 2, 1, 3, 2, 3, 2, 2, 4, 4, 3, 1, 2, 4, 4, 4, 4, 3, 3, 1, 4, 2, 2, 2, 0, 1, 0, 4, 0, 4, 0, 3, 1, 1, 2, 4, 0, 3, 1, 3, 2, 2, 1, 1, 0, 0, 0, 3, 1, 2, 3, 1, 0, 0, 1, 3, 3, 2, 4, 4, 1, 0, 4, 0, 1, 3, 4, 3, 4, 3, 4, 3, 4, 3, 2, 0, 4, 2, 1, 3, 1, 1, 3, 1, 4, 0, 2, 2, 3, 1, 1, 4, 3, 0, 2, 0, 3, 2, 3, 3, 0, 4, 4, 3, 1, 2, 1, 3, 2, 0, 4, 1, 3, 2, 0, 0, 4, 1, 2, 4, 4, 2, 0, 4, 3, 3, 4, 4, 3, 2, 3, 3, 4, 0, 0, 0, 1, 2, 2, 2, 4, 3, 4, 0, 4, 2, 2, 0, 1, 3, 4, 0, 3, 0, 2, 3, 2, 2, 3, 1, 3, 0, 2, 4, 0, 3, 4, 3, 0, 2, 1, 4, 3, 1, 0, 0, 1, 4, 3, 0, 4, 3, 0, 3, 3, 0, 4, 0, 4, 2, 4, 2, 1, 0, 4, 4, 1, 1, 4, 4, 1, 4, 3, 3, 4, 4, 4, 0, 0, 4, 3, 4, 4, 4, 1, 2, 0, 3, 4, 2, 4, 4, 0, 1, 3, 4, 0, 4, 4, 1, 1, 1, 2, 3, 0, 4, 1, 3, 4, 1, 4, 1, 1, 1, 4, 3, 1, 1, 4, 0, 3, 4, 1, 3, 1, 1, 3, 0, 1, 1, 4, 0, 0, 2, 3, 3, 2, 4, 1] pubkeycol1334 = [1, 3, 3, 2, 1, 1, 2, 0, 3, 1, 0, 4, 1, 0, 4, 1, 2, 0, 4, 0, 1, 4, 3, 4, 0, 4, 1, 2, 1, 0, 1, 3, 3, 2, 2, 2, 0, 2, 0, 3, 3, 2, 2, 0, 1, 0, 3, 1, 2, 3, 4, 0, 3, 3, 2, 1, 2, 2, 3, 4, 2, 2, 1, 0, 0, 4, 0, 3, 4, 1, 4, 2, 3, 4, 2, 1, 0, 1, 0, 4, 4, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 1, 0, 2, 0, 0, 4, 2, 3, 4, 1, 1, 3, 3, 3, 3, 4, 4, 0, 3, 0, 0, 2, 0, 4, 3, 1, 0, 4, 1, 2, 3, 4, 1, 4, 3, 1, 3, 1, 0, 1, 0, 2, 0, 0, 0, 4, 4, 3, 3, 3, 3, 2, 1, 2, 2, 4, 2, 2, 2, 2, 0, 4, 0, 3, 4, 0, 0, 4, 1, 1, 1, 1, 1, 0, 1, 3, 1, 2, 0, 2, 0, 4, 2, 4, 0, 3, 2, 2, 4, 4, 0, 0, 1, 2, 0, 3, 0, 0, 3, 2, 3, 4, 2, 2, 4, 2, 0, 3, 3, 2, 2, 4, 1, 2, 2, 2, 1, 4, 1, 2, 2, 3, 2, 1, 1, 2, 0, 3, 0, 4, 1, 4, 4, 1, 2, 3, 0, 1, 4, 3, 3, 0, 4, 1, 3, 3, 1, 0, 1, 1, 4, 2, 3, 1, 3, 4, 2, 3, 0, 3, 4, 3, 1, 2, 1, 3, 4, 4, 3, 1, 2, 0, 2, 0, 1, 2, 3, 0, 1, 2, 3, 1, 3, 3, 2, 2, 1, 1, 4, 0, 2, 0, 1, 1, 0, 0, 2, 2, 3, 1, 1, 1, 0, 2, 2, 3, 3, 3, 2, 4, 2, 3, 0, 4, 2, 0, 4, 3, 3, 0, 2, 3, 0, 2, 3, 4, 1, 4, 1] pubkeycol1335 = [2, 4, 2, 2, 0, 1, 4, 1, 2, 2, 4, 4, 1, 1, 3, 2, 3, 0, 3, 2, 1, 1, 3, 2, 4, 3, 1, 3, 0, 2, 1, 0, 4, 2, 1, 1, 1, 0, 1, 2, 2, 4, 4, 1, 4, 3, 2, 2, 1, 1, 1, 3, 2, 2, 0, 1, 0, 1, 0, 0, 4, 0, 2, 3, 4, 3, 2, 0, 0, 0, 4, 4, 0, 2, 0, 2, 3, 3, 1, 0, 1, 4, 1, 2, 2, 3, 2, 3, 2, 0, 2, 1, 4, 2, 2, 4, 3, 0, 0, 4, 4, 2, 3, 0, 0, 3, 1, 0, 0, 2, 1, 0, 3, 3, 2, 0, 0, 3, 2, 2, 4, 3, 2, 3, 1, 4, 0, 3, 2, 1, 4, 4, 0, 2, 1, 4, 2, 0, 0, 3, 2, 3, 2, 4, 3, 3, 0, 2, 1, 4, 1, 2, 3, 0, 2, 3, 3, 1, 1, 0, 4, 3, 0, 4, 1, 3, 3, 2, 1, 1, 1, 2, 0, 4, 0, 1, 3, 3, 4, 1, 0, 2, 2, 1, 2, 3, 0, 3, 3, 1, 2, 3, 3, 0, 0, 1, 2, 3, 2, 4, 4, 3, 1, 2, 1, 2, 2, 3, 1, 4, 1, 3, 1, 3, 2, 4, 4, 4, 1, 0, 4, 4, 2, 1, 2, 0, 2, 1, 4, 4, 2, 3, 3, 1, 4, 1, 0, 1, 2, 2, 1, 0, 0, 3, 2, 2, 4, 2, 3, 2, 2, 1, 1, 2, 4, 4, 0, 4, 0, 4, 0, 4, 2, 4, 2, 4, 4, 3, 2, 4, 0, 4, 4, 3, 3, 0, 1, 4, 4, 4, 2, 1, 0, 0, 3, 2, 2, 3, 0, 0, 0, 1, 4, 2, 3, 0, 3, 4, 4, 2, 3, 1, 0, 4, 1, 4, 0, 4, 0, 2, 2, 1, 3, 3, 0, 2, 1, 2, 0, 0] pubkeycol1336 = [4, 0, 1, 0, 3, 1, 4, 3, 4, 0, 0, 0, 1, 0, 2, 2, 3, 4, 0, 3, 0, 3, 4, 1, 0, 2, 3, 4, 2, 2, 3, 1, 4, 0, 4, 3, 4, 0, 4, 3, 4, 1, 3, 2, 1, 4, 2, 0, 1, 1, 2, 1, 2, 4, 3, 0, 0, 1, 1, 4, 4, 2, 0, 3, 1, 2, 2, 3, 2, 3, 4, 0, 4, 4, 0, 1, 1, 3, 3, 0, 1, 2, 1, 1, 3, 4, 3, 2, 1, 4, 3, 3, 4, 4, 1, 1, 3, 3, 1, 3, 2, 4, 2, 0, 4, 2, 3, 4, 0, 3, 2, 3, 1, 3, 0, 3, 2, 4, 0, 0, 2, 1, 2, 3, 2, 1, 1, 2, 4, 1, 2, 2, 1, 2, 4, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 0, 3, 0, 4, 2, 2, 3, 1, 1, 4, 1, 4, 3, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 4, 4, 3, 0, 2, 4, 1, 1, 0, 0, 4, 2, 4, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 3, 4, 0, 3, 3, 2, 4, 2, 0, 0, 3, 0, 2, 1, 1, 4, 2, 1, 3, 4, 3, 2, 3, 0, 1, 0, 1, 4, 2, 3, 1, 3, 3, 2, 3, 1, 1, 4, 2, 1, 0, 0, 3, 2, 4, 0, 3, 3, 4, 0, 4, 4, 3, 0, 0, 0, 3, 1, 2, 1, 3, 2, 1, 1, 2, 2, 3, 2, 4, 2, 3, 2, 1, 3, 2, 0, 1, 4, 4, 0, 1, 3, 3, 0, 4, 0, 4, 4, 1, 3, 1, 3, 3, 0, 0, 4, 4, 0, 0, 2, 4, 3, 0, 0, 0, 4, 3, 4, 3, 4, 1, 3, 1, 2, 4, 0, 4, 4, 2, 0, 3, 1, 4, 3, 3, 0] pubkeycol1337 = [1, 3, 3, 4, 1, 0, 2, 0, 3, 4, 0, 3, 2, 2, 4, 1, 2, 0, 2, 0, 0, 0, 4, 1, 4, 2, 4, 3, 2, 4, 1, 1, 0, 2, 0, 4, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 3, 4, 3, 3, 4, 2, 3, 3, 2, 2, 2, 1, 4, 0, 4, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 3, 4, 1, 4, 0, 0, 0, 1, 3, 2, 4, 1, 3, 1, 1, 4, 0, 2, 4, 0, 3, 3, 1, 4, 2, 1, 2, 1, 2, 1, 4, 1, 1, 4, 2, 0, 3, 2, 2, 2, 4, 2, 4, 3, 2, 0, 2, 3, 4, 0, 1, 1, 3, 2, 3, 3, 0, 1, 3, 1, 4, 4, 1, 4, 2, 2, 4, 3, 3, 2, 0, 2, 4, 1, 3, 2, 1, 2, 4, 1, 1, 1, 0, 0, 3, 1, 0, 1, 1, 3, 4, 4, 0, 1, 2, 3, 4, 2, 0, 3, 4, 0, 4, 1, 3, 3, 3, 1, 4, 2, 1, 0, 3, 2, 2, 3, 4, 3, 4, 3, 0, 1, 1, 1, 3, 4, 2, 2, 1, 1, 1, 3, 3, 0, 4, 0, 4, 0, 0, 4, 0, 2, 4, 4, 2, 1, 3, 1, 2, 3, 0, 1, 3, 3, 2, 2, 1, 1, 4, 2, 4, 4, 0, 4, 0, 0, 1, 4, 4, 0, 2, 0, 3, 1, 0, 4, 1, 4, 2, 1, 2, 1, 3, 0, 3, 2, 1, 1, 3, 4, 4, 2, 2, 2, 4, 3, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 4, 2, 1, 1, 2, 2, 4, 4, 1, 3, 3, 2, 1, 3, 2, 4, 3, 4, 2, 2, 4, 3, 0, 3, 3, 4, 1, 0, 4, 0, 3, 0, 0, 3, 4, 2] pubkeycol1338 = [1, 2, 1, 2, 3, 2, 0, 2, 4, 2, 1, 4, 4, 4, 2, 3, 0, 4, 1, 0, 1, 0, 4, 2, 3, 1, 1, 2, 3, 1, 0, 4, 4, 2, 2, 3, 0, 3, 0, 4, 3, 0, 1, 2, 3, 0, 3, 2, 0, 1, 0, 4, 0, 3, 3, 2, 0, 1, 2, 1, 1, 4, 3, 2, 1, 4, 1, 1, 2, 4, 3, 4, 4, 3, 2, 1, 3, 3, 1, 0, 3, 2, 4, 2, 1, 4, 2, 2, 1, 4, 4, 2, 4, 4, 0, 2, 1, 0, 2, 3, 0, 4, 0, 4, 3, 1, 1, 1, 4, 1, 2, 4, 2, 1, 0, 0, 1, 3, 2, 1, 2, 2, 2, 4, 2, 2, 3, 3, 0, 0, 2, 3, 1, 1, 2, 4, 4, 2, 1, 2, 0, 3, 2, 0, 0, 3, 4, 3, 4, 1, 0, 0, 3, 1, 3, 1, 2, 4, 4, 4, 2, 1, 4, 4, 4, 3, 0, 0, 2, 3, 0, 0, 3, 4, 0, 1, 2, 3, 2, 0, 4, 3, 0, 4, 4, 1, 4, 4, 3, 2, 4, 4, 1, 4, 0, 1, 3, 4, 3, 2, 1, 4, 2, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 4, 2, 3, 4, 4, 1, 1, 2, 0, 3, 4, 0, 1, 4, 1, 3, 2, 2, 3, 1, 2, 3, 3, 3, 1, 3, 2, 2, 3, 2, 0, 4, 0, 1, 2, 0, 1, 4, 2, 1, 2, 2, 4, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 3, 4, 4, 2, 2, 3, 3, 3, 3, 0, 0, 2, 4, 3, 0, 1, 2, 3, 4, 3, 0, 3, 3, 4, 2, 3, 1, 3, 0, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 2, 0, 3, 4, 3, 1, 3, 0, 1, 4, 1, 4, 3, 3, 1] pubkeycol1339 = [1, 3, 2, 1, 2, 0, 2, 2, 0, 4, 0, 4, 4, 0, 1, 4, 1, 2, 3, 0, 3, 0, 2, 3, 1, 3, 4, 1, 1, 2, 3, 1, 2, 3, 4, 4, 3, 4, 0, 0, 3, 1, 2, 2, 0, 2, 0, 4, 0, 1, 4, 4, 1, 2, 4, 3, 3, 0, 1, 1, 4, 4, 4, 2, 2, 3, 1, 3, 4, 4, 2, 2, 0, 1, 1, 4, 3, 2, 1, 1, 0, 4, 4, 1, 3, 2, 2, 1, 2, 2, 0, 0, 0, 4, 1, 4, 4, 1, 3, 1, 2, 1, 2, 1, 0, 0, 1, 4, 0, 1, 3, 2, 0, 2, 3, 3, 4, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 4, 4, 2, 1, 1, 3, 1, 3, 1, 3, 1, 4, 0, 0, 1, 4, 0, 0, 3, 2, 1, 4, 1, 3, 3, 2, 0, 0, 0, 3, 4, 0, 4, 1, 2, 2, 1, 0, 3, 3, 4, 2, 3, 0, 4, 4, 3, 3, 3, 0, 3, 1, 0, 1, 2, 3, 2, 3, 3, 3, 4, 1, 0, 3, 3, 2, 2, 1, 0, 4, 2, 3, 4, 0, 2, 1, 2, 1, 3, 2, 0, 3, 2, 2, 3, 3, 0, 2, 2, 4, 0, 1, 3, 2, 3, 0, 0, 0, 2, 3, 1, 4, 2, 1, 3, 1, 0, 2, 3, 1, 2, 4, 1, 0, 2, 3, 2, 4, 0, 0, 3, 0, 4, 2, 0, 3, 1, 4, 1, 0, 3, 0, 4, 3, 4, 2, 2, 4, 0, 3, 3, 0, 3, 2, 0, 4, 2, 3, 0, 2, 2, 1, 2, 3, 2, 3, 2, 1, 0, 3, 0, 2, 2, 3, 0, 4, 0, 1, 0, 1, 0, 0, 4, 1, 1, 2, 4, 2, 4, 1, 4, 3, 1, 1, 4, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol1340 = [1, 2, 1, 2, 0, 4, 4, 1, 3, 2, 0, 1, 1, 3, 2, 2, 3, 0, 2, 4, 1, 2, 0, 2, 1, 1, 3, 1, 3, 3, 2, 4, 3, 0, 2, 2, 2, 3, 4, 3, 3, 3, 1, 3, 0, 0, 1, 3, 4, 4, 0, 3, 0, 3, 1, 2, 3, 3, 4, 1, 0, 0, 1, 4, 2, 1, 3, 1, 0, 0, 1, 2, 0, 2, 1, 2, 4, 2, 1, 1, 0, 3, 3, 2, 3, 2, 2, 3, 2, 3, 1, 2, 4, 2, 4, 1, 3, 0, 3, 2, 0, 2, 1, 3, 2, 1, 0, 1, 4, 0, 0, 0, 3, 4, 4, 2, 2, 1, 4, 0, 3, 2, 0, 2, 2, 4, 1, 1, 1, 0, 1, 3, 0, 1, 0, 1, 4, 4, 4, 0, 3, 3, 1, 4, 1, 4, 0, 2, 4, 1, 4, 3, 0, 4, 0, 4, 3, 1, 4, 3, 4, 3, 4, 1, 0, 4, 4, 4, 3, 4, 4, 3, 2, 3, 2, 2, 2, 4, 1, 4, 1, 0, 4, 0, 0, 4, 1, 1, 3, 1, 1, 2, 3, 2, 1, 0, 3, 2, 0, 2, 0, 1, 3, 4, 3, 1, 0, 2, 2, 4, 4, 1, 2, 2, 1, 2, 3, 4, 3, 2, 3, 0, 1, 3, 3, 4, 3, 0, 4, 2, 3, 4, 4, 1, 3, 0, 3, 1, 4, 2, 4, 0, 2, 2, 0, 1, 0, 3, 4, 4, 0, 4, 4, 3, 2, 3, 1, 0, 1, 0, 2, 0, 4, 2, 0, 2, 3, 2, 1, 0, 2, 0, 0, 1, 1, 0, 3, 0, 2, 4, 0, 3, 3, 2, 3, 4, 1, 3, 0, 3, 0, 1, 1, 4, 3, 3, 3, 0, 0, 0, 4, 0, 1, 0, 0, 0, 2, 2, 3, 0, 4, 2, 1, 2, 4, 3, 3, 1, 3, 4] pubkeycol1341 = [3, 3, 3, 0, 4, 1, 3, 1, 0, 3, 4, 0, 1, 0, 0, 1, 2, 4, 1, 2, 1, 4, 0, 4, 3, 3, 3, 2, 2, 3, 1, 4, 3, 0, 1, 4, 2, 0, 2, 1, 3, 1, 0, 4, 4, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 3, 2, 1, 1, 0, 2, 2, 0, 2, 0, 4, 0, 2, 1, 3, 0, 2, 2, 4, 3, 1, 0, 4, 4, 4, 1, 0, 4, 0, 3, 1, 3, 1, 4, 2, 0, 2, 2, 3, 1, 0, 3, 3, 4, 2, 3, 3, 4, 1, 4, 2, 1, 2, 3, 1, 4, 1, 0, 1, 4, 3, 2, 0, 1, 0, 1, 0, 3, 3, 0, 1, 0, 0, 4, 4, 0, 1, 3, 3, 1, 3, 2, 3, 0, 0, 1, 0, 3, 0, 3, 3, 0, 4, 3, 4, 4, 2, 3, 2, 1, 0, 3, 3, 2, 2, 2, 2, 3, 4, 3, 0, 1, 2, 1, 0, 0, 2, 4, 1, 0, 2, 3, 3, 3, 1, 2, 4, 0, 0, 4, 4, 1, 0, 4, 1, 3, 1, 4, 3, 4, 0, 1, 1, 2, 0, 0, 3, 0, 1, 2, 3, 3, 1, 4, 1, 2, 3, 4, 3, 1, 2, 1, 3, 2, 4, 0, 2, 3, 2, 2, 0, 3, 1, 0, 3, 2, 3, 4, 1, 3, 3, 1, 4, 1, 2, 2, 1, 3, 3, 0, 2, 4, 4, 0, 0, 3, 0, 3, 2, 1, 1, 1, 4, 2, 1, 2, 0, 3, 4, 4, 4, 1, 0, 0, 4, 1, 2, 3, 2, 1, 2, 4, 1, 3, 1, 0, 4, 3, 4, 2, 1, 2, 1, 0, 0, 0, 4, 0, 3, 0, 2, 2, 4, 0, 4, 4, 2, 4, 0, 1, 0, 4, 4, 4, 1, 2, 2, 3, 4, 3, 1, 0, 3, 1] pubkeycol1342 = [3, 3, 4, 2, 1, 0, 0, 0, 3, 4, 3, 3, 1, 4, 2, 1, 2, 3, 3, 3, 4, 2, 2, 3, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 4, 2, 1, 4, 0, 2, 3, 2, 0, 1, 3, 2, 2, 4, 3, 3, 1, 0, 1, 2, 3, 0, 0, 2, 2, 4, 4, 3, 0, 4, 4, 2, 1, 2, 3, 0, 3, 0, 3, 4, 2, 0, 2, 0, 1, 2, 2, 0, 4, 3, 1, 1, 4, 2, 4, 2, 2, 1, 3, 4, 2, 3, 1, 0, 0, 2, 4, 3, 3, 4, 0, 0, 3, 0, 0, 0, 3, 0, 1, 4, 0, 2, 2, 1, 1, 0, 2, 3, 3, 1, 0, 1, 1, 4, 4, 3, 2, 0, 2, 2, 4, 4, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 4, 4, 0, 4, 2, 4, 4, 0, 2, 1, 4, 2, 3, 0, 3, 1, 3, 1, 2, 0, 1, 3, 1, 2, 2, 3, 2, 3, 0, 3, 4, 4, 2, 0, 3, 3, 3, 3, 0, 4, 2, 0, 2, 4, 2, 3, 3, 0, 3, 1, 4, 3, 3, 4, 1, 4, 1, 3, 1, 0, 2, 0, 0, 1, 3, 1, 3, 1, 2, 4, 2, 1, 1, 1, 3, 1, 2, 1, 3, 0, 3, 4, 0, 3, 4, 2, 3, 4, 4, 3, 0, 4, 1, 3, 1, 1, 3, 1, 4, 0, 0, 2, 2, 1, 0, 2, 3, 1, 0, 0, 4, 3, 1, 3, 4, 3, 4, 3, 4, 4, 4, 1, 0, 2, 4, 3, 1, 0, 0, 2, 1, 3, 1, 2, 2, 1, 3, 2, 2, 1, 1, 4, 3, 4, 4, 0, 2, 1, 4, 2, 3, 1, 3, 2, 2, 4, 2, 1, 1, 4, 3, 3, 1, 2, 0, 3, 3, 0, 3, 1, 0, 1, 1, 4] pubkeycol1343 = [1, 4, 0, 2, 2, 0, 2, 1, 3, 3, 1, 2, 3, 3, 1, 1, 3, 4, 4, 4, 3, 0, 2, 3, 3, 4, 3, 0, 1, 1, 2, 4, 4, 0, 0, 2, 4, 2, 2, 2, 2, 0, 3, 2, 4, 2, 4, 3, 0, 4, 0, 3, 1, 4, 1, 3, 2, 3, 1, 3, 1, 2, 3, 1, 1, 3, 3, 3, 0, 4, 0, 0, 3, 0, 3, 0, 2, 1, 1, 4, 2, 2, 4, 3, 1, 4, 4, 2, 0, 1, 3, 1, 4, 4, 3, 3, 0, 1, 4, 2, 3, 3, 2, 2, 2, 3, 1, 0, 2, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 4, 1, 4, 3, 3, 0, 1, 1, 4, 2, 2, 0, 4, 0, 4, 0, 0, 1, 2, 1, 1, 2, 4, 3, 4, 0, 2, 0, 0, 4, 0, 2, 1, 1, 3, 0, 1, 4, 4, 2, 4, 4, 2, 3, 3, 0, 3, 1, 0, 3, 3, 4, 1, 4, 3, 2, 0, 3, 2, 3, 3, 4, 4, 2, 0, 0, 3, 0, 1, 0, 1, 1, 1, 4, 4, 2, 0, 4, 2, 3, 0, 4, 0, 3, 2, 0, 4, 3, 3, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 4, 3, 0, 2, 4, 3, 0, 4, 1, 1, 2, 3, 3, 3, 1, 2, 1, 0, 0, 4, 3, 1, 1, 3, 3, 1, 3, 2, 3, 3, 3, 4, 0, 3, 0, 2, 0, 1, 4, 1, 0, 4, 4, 0, 2, 0, 2, 0, 2, 2, 3, 1, 4, 0, 0, 3, 3, 4, 1, 0, 3, 2, 2, 3, 4, 2, 2, 4, 3, 1, 2, 2, 1, 0, 3, 4, 0, 0, 2, 4, 2, 3, 2, 1, 4, 4, 2, 1, 3, 3, 2, 2, 2, 3, 0, 1, 3, 0, 1, 4] pubkeycol1344 = [2, 2, 0, 3, 3, 3, 3, 1, 3, 3, 2, 0, 0, 4, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 3, 3, 4, 0, 1, 4, 4, 0, 1, 4, 3, 1, 0, 4, 4, 4, 2, 4, 4, 1, 2, 1, 4, 2, 2, 1, 1, 1, 0, 0, 1, 4, 4, 3, 4, 0, 3, 1, 4, 2, 2, 3, 2, 4, 3, 1, 3, 2, 4, 2, 0, 4, 2, 1, 2, 0, 1, 3, 0, 3, 0, 1, 2, 0, 3, 4, 4, 0, 0, 4, 4, 1, 0, 0, 0, 1, 0, 1, 4, 2, 0, 1, 4, 4, 4, 0, 2, 1, 1, 2, 3, 1, 3, 2, 4, 1, 3, 1, 3, 1, 4, 4, 1, 0, 0, 3, 2, 2, 2, 1, 2, 2, 1, 3, 2, 2, 0, 1, 0, 0, 2, 1, 1, 3, 3, 1, 4, 2, 2, 4, 3, 1, 1, 0, 0, 2, 3, 4, 1, 3, 2, 4, 2, 1, 0, 3, 2, 4, 4, 4, 2, 2, 3, 1, 1, 1, 4, 1, 1, 1, 2, 0, 2, 1, 2, 2, 3, 0, 1, 0, 4, 2, 0, 2, 0, 3, 3, 2, 1, 0, 2, 3, 1, 0, 4, 3, 4, 4, 2, 4, 0, 3, 2, 3, 2, 2, 0, 2, 2, 0, 3, 2, 1, 2, 4, 4, 4, 0, 2, 2, 4, 0, 1, 4, 1, 4, 1, 0, 2, 0, 1, 4, 3, 3, 4, 0, 0, 3, 4, 1, 4, 0, 0, 1, 4, 1, 0, 1, 3, 1, 0, 0, 3, 0, 3, 1, 3, 1, 2, 1, 3, 1, 1, 1, 0, 2, 3, 0, 4, 3, 1, 1, 3, 0, 0, 0, 1, 3, 0, 0, 3, 2, 0, 3, 4, 3, 4, 1, 0, 0, 3, 3, 1, 3, 2, 0, 4, 2, 3, 2, 0, 2, 3] pubkeycol1345 = [0, 0, 2, 1, 4, 3, 0, 0, 0, 0, 3, 3, 4, 3, 4, 4, 2, 0, 2, 1, 3, 4, 0, 3, 4, 0, 3, 0, 0, 4, 4, 1, 2, 0, 0, 1, 1, 3, 3, 2, 3, 0, 0, 2, 4, 1, 2, 4, 4, 1, 2, 3, 3, 4, 0, 4, 1, 1, 4, 0, 4, 2, 4, 2, 1, 0, 4, 3, 2, 3, 4, 4, 0, 0, 1, 4, 4, 4, 0, 4, 1, 4, 3, 1, 3, 2, 1, 4, 1, 4, 4, 3, 4, 2, 2, 4, 4, 1, 1, 2, 3, 0, 1, 3, 0, 1, 4, 2, 0, 1, 4, 3, 4, 1, 4, 2, 1, 0, 2, 2, 0, 1, 0, 1, 4, 3, 1, 2, 0, 4, 2, 1, 4, 3, 1, 1, 3, 1, 1, 4, 0, 4, 3, 4, 0, 2, 4, 3, 3, 0, 0, 4, 2, 1, 0, 3, 2, 3, 1, 1, 3, 2, 2, 0, 0, 1, 0, 4, 3, 0, 1, 2, 4, 0, 4, 1, 2, 0, 4, 4, 2, 3, 2, 4, 2, 4, 1, 0, 0, 0, 3, 3, 3, 4, 0, 0, 4, 3, 2, 2, 1, 1, 1, 4, 0, 1, 4, 4, 4, 0, 0, 4, 0, 3, 4, 3, 4, 4, 3, 3, 1, 3, 4, 0, 4, 0, 3, 4, 3, 3, 4, 3, 2, 2, 0, 1, 1, 4, 2, 1, 4, 1, 2, 2, 1, 1, 4, 0, 1, 4, 3, 3, 0, 2, 2, 2, 2, 3, 4, 0, 4, 4, 3, 0, 2, 4, 1, 1, 0, 2, 2, 2, 0, 1, 4, 0, 2, 2, 2, 4, 0, 1, 1, 2, 0, 2, 3, 4, 0, 1, 0, 4, 1, 2, 0, 3, 1, 4, 1, 1, 4, 1, 3, 2, 3, 2, 0, 0, 2, 1, 3, 2, 0, 0, 3, 1, 0, 2, 2, 2] pubkeycol1346 = [4, 3, 1, 0, 0, 2, 0, 0, 2, 3, 0, 1, 3, 2, 1, 1, 3, 1, 4, 3, 2, 1, 4, 4, 3, 3, 4, 3, 4, 2, 1, 1, 1, 1, 4, 2, 0, 3, 1, 2, 4, 4, 1, 0, 0, 0, 4, 4, 2, 3, 0, 0, 1, 4, 0, 4, 3, 4, 4, 1, 1, 0, 4, 1, 0, 4, 3, 0, 1, 1, 1, 2, 0, 1, 1, 3, 4, 2, 4, 1, 4, 3, 1, 3, 1, 4, 3, 0, 4, 4, 3, 0, 3, 3, 4, 0, 2, 4, 0, 2, 2, 3, 2, 1, 3, 4, 0, 3, 1, 0, 1, 0, 2, 1, 4, 4, 1, 3, 4, 0, 3, 4, 4, 0, 2, 1, 3, 1, 0, 4, 0, 3, 1, 1, 4, 3, 2, 4, 4, 1, 2, 1, 4, 4, 4, 0, 3, 4, 1, 4, 1, 2, 1, 4, 1, 1, 0, 4, 2, 0, 3, 4, 3, 0, 0, 0, 2, 4, 4, 3, 2, 4, 0, 4, 2, 1, 4, 0, 3, 1, 3, 0, 0, 1, 2, 2, 3, 3, 4, 2, 4, 3, 1, 3, 3, 3, 1, 3, 1, 0, 0, 2, 2, 4, 2, 2, 1, 2, 2, 1, 0, 3, 4, 1, 3, 0, 3, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 3, 2, 2, 0, 0, 3, 0, 1, 3, 3, 0, 0, 0, 0, 1, 3, 2, 1, 4, 0, 2, 1, 0, 2, 3, 4, 0, 2, 2, 4, 4, 4, 3, 3, 3, 1, 0, 4, 4, 0, 2, 2, 2, 3, 0, 1, 0, 0, 4, 1, 1, 4, 3, 0, 1, 0, 1, 3, 4, 2, 1, 3, 3, 2, 4, 1, 3, 2, 2, 4, 2, 2, 4, 0, 1, 4, 2, 3, 4, 2, 1, 1, 4, 0, 2, 1, 0, 1, 3, 4, 2, 2, 4] pubkeycol1347 = [1, 2, 4, 0, 0, 2, 0, 4, 1, 2, 4, 0, 2, 3, 0, 0, 1, 1, 3, 0, 3, 3, 4, 0, 1, 3, 1, 2, 4, 1, 3, 2, 0, 3, 0, 4, 3, 0, 1, 0, 1, 0, 2, 0, 3, 2, 4, 1, 2, 4, 2, 1, 1, 3, 2, 3, 4, 1, 0, 1, 2, 0, 3, 2, 4, 4, 2, 3, 1, 3, 1, 3, 4, 2, 3, 4, 4, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 4, 0, 1, 3, 0, 1, 3, 3, 1, 2, 3, 2, 0, 4, 2, 1, 0, 0, 3, 0, 3, 2, 3, 1, 1, 1, 3, 2, 4, 2, 1, 2, 1, 1, 2, 0, 4, 4, 3, 1, 4, 3, 2, 1, 1, 3, 1, 0, 3, 3, 2, 4, 3, 0, 1, 1, 4, 0, 4, 3, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 3, 2, 4, 3, 3, 1, 2, 0, 4, 1, 3, 3, 3, 2, 3, 1, 1, 4, 0, 3, 2, 4, 3, 3, 0, 4, 4, 2, 4, 1, 2, 4, 1, 1, 2, 4, 4, 3, 0, 4, 1, 3, 1, 4, 2, 4, 3, 4, 3, 4, 2, 4, 0, 0, 0, 4, 3, 0, 0, 1, 3, 2, 3, 1, 4, 1, 1, 2, 0, 2, 0, 2, 4, 0, 1, 4, 4, 1, 4, 1, 0, 1, 2, 3, 2, 2, 4, 1, 4, 1, 2, 3, 0, 0, 1, 3, 4, 3, 4, 4, 0, 0, 4, 2, 0, 2, 1, 1, 3, 0, 0, 3, 3, 0, 1, 0, 0, 3, 2, 0, 2, 3, 0, 2, 2, 1, 0, 0, 1, 4, 1, 0, 3, 2, 2, 2, 4, 2, 2, 4, 1, 2, 1, 0, 2, 1, 4, 2, 2, 3, 0, 0, 2, 4, 0, 2, 2, 3] pubkeycol1348 = [3, 3, 0, 2, 2, 3, 1, 2, 2, 0, 4, 2, 1, 3, 4, 0, 3, 2, 3, 2, 1, 2, 4, 0, 1, 2, 1, 2, 2, 4, 3, 0, 0, 3, 3, 3, 2, 1, 4, 0, 3, 4, 1, 2, 0, 0, 1, 3, 1, 4, 4, 3, 1, 1, 4, 3, 2, 3, 1, 2, 0, 3, 0, 1, 0, 0, 0, 3, 3, 2, 1, 3, 0, 2, 3, 4, 1, 1, 1, 4, 0, 3, 4, 2, 0, 4, 0, 4, 4, 0, 0, 4, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 4, 1, 4, 0, 1, 1, 4, 4, 4, 1, 4, 3, 3, 2, 1, 1, 2, 1, 4, 4, 0, 3, 2, 3, 2, 0, 1, 2, 0, 3, 1, 3, 0, 0, 0, 4, 3, 3, 3, 2, 1, 3, 1, 4, 2, 2, 4, 2, 2, 0, 1, 3, 4, 4, 0, 3, 0, 1, 1, 4, 4, 3, 0, 1, 0, 3, 2, 4, 0, 0, 0, 4, 3, 3, 0, 0, 3, 3, 3, 3, 4, 1, 4, 4, 3, 3, 4, 2, 0, 4, 1, 2, 4, 0, 3, 2, 2, 2, 4, 2, 4, 2, 4, 0, 4, 4, 4, 3, 3, 3, 0, 4, 3, 2, 2, 3, 0, 1, 1, 0, 1, 1, 1, 3, 4, 4, 2, 3, 1, 3, 0, 3, 4, 1, 2, 1, 1, 4, 2, 1, 4, 1, 4, 4, 1, 1, 0, 0, 1, 1, 3, 3, 1, 4, 4, 2, 4, 2, 0, 0, 2, 3, 4, 3, 4, 2, 1, 2, 4, 2, 1, 3, 0, 2, 3, 2, 4, 2, 2, 0, 3, 0, 2, 0, 1, 1, 1, 2, 3, 1, 2, 1, 0, 2, 1, 3, 0, 2, 2, 1, 1, 3, 2, 3, 0, 2, 4, 4, 1, 4, 0, 4, 3, 3, 1, 2, 1, 0] pubkeycol1349 = [3, 1, 2, 3, 4, 2, 3, 0, 1, 0, 0, 0, 2, 3, 0, 1, 1, 4, 2, 1, 0, 0, 0, 1, 1, 3, 2, 3, 2, 0, 1, 4, 4, 3, 4, 2, 1, 2, 3, 4, 0, 0, 1, 4, 2, 4, 0, 2, 2, 1, 1, 1, 2, 4, 4, 4, 1, 4, 2, 1, 2, 2, 1, 0, 0, 3, 4, 2, 0, 4, 3, 1, 4, 0, 2, 1, 1, 2, 3, 1, 1, 0, 4, 1, 2, 3, 1, 2, 2, 0, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 4, 0, 2, 4, 3, 1, 3, 2, 2, 0, 2, 4, 0, 1, 3, 3, 3, 1, 2, 4, 4, 4, 1, 2, 3, 0, 1, 4, 4, 1, 2, 4, 4, 1, 1, 4, 3, 1, 1, 1, 2, 2, 2, 0, 3, 4, 4, 3, 3, 1, 2, 4, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 0, 2, 0, 0, 3, 2, 3, 3, 2, 0, 0, 4, 2, 1, 1, 2, 3, 4, 4, 1, 0, 0, 1, 4, 4, 2, 0, 0, 1, 4, 2, 0, 3, 4, 1, 2, 0, 3, 1, 3, 2, 2, 2, 2, 0, 0, 4, 0, 3, 0, 2, 2, 4, 1, 4, 0, 2, 2, 0, 0, 4, 4, 2, 4, 2, 1, 2, 2, 4, 0, 3, 3, 0, 0, 1, 3, 3, 1, 3, 1, 4, 1, 4, 0, 4, 1, 3, 0, 2, 3, 3, 0, 2, 4, 3, 0, 2, 0, 2, 1, 4, 3, 1, 3, 0, 2, 0, 4, 4, 2, 3, 2, 0, 2, 3, 4, 1, 4, 1, 3, 0, 1, 4, 0, 1, 1, 1, 3, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 1, 0, 2, 1, 4, 2, 3, 4, 0, 4, 3, 3, 1, 3, 2] pubkeycol1350 = [3, 1, 4, 4, 3, 0, 1, 3, 1, 2, 1, 0, 0, 2, 2, 2, 0, 3, 2, 3, 1, 4, 0, 0, 1, 3, 4, 1, 2, 4, 4, 4, 4, 3, 3, 0, 2, 2, 4, 1, 4, 3, 4, 4, 2, 4, 2, 2, 1, 0, 1, 4, 4, 0, 0, 3, 1, 4, 0, 1, 2, 0, 3, 1, 3, 2, 1, 2, 1, 1, 4, 0, 2, 3, 0, 4, 3, 0, 0, 1, 0, 0, 1, 0, 2, 4, 1, 3, 3, 1, 4, 1, 4, 1, 2, 3, 0, 0, 1, 4, 3, 2, 0, 3, 1, 2, 3, 2, 0, 3, 1, 2, 3, 2, 4, 0, 2, 1, 0, 0, 3, 0, 4, 3, 2, 2, 0, 3, 1, 0, 1, 2, 4, 4, 3, 0, 2, 0, 1, 2, 4, 0, 1, 4, 4, 2, 2, 2, 2, 2, 4, 1, 4, 2, 2, 1, 4, 2, 0, 4, 0, 1, 2, 2, 0, 3, 4, 3, 2, 0, 3, 2, 3, 4, 2, 1, 2, 0, 2, 1, 0, 4, 0, 1, 2, 1, 2, 0, 2, 3, 0, 2, 2, 3, 2, 4, 0, 1, 4, 2, 3, 3, 0, 0, 0, 1, 3, 4, 3, 2, 0, 1, 3, 2, 0, 2, 1, 0, 0, 3, 4, 2, 0, 0, 3, 0, 4, 4, 0, 1, 3, 2, 1, 2, 1, 3, 0, 1, 4, 2, 1, 4, 4, 3, 1, 0, 3, 1, 2, 4, 3, 3, 4, 1, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 1, 4, 2, 2, 3, 0, 3, 0, 0, 0, 0, 3, 4, 3, 0, 0, 2, 2, 4, 2, 2, 4, 0, 0, 1, 2, 0, 2, 2, 4, 3, 4, 2, 3, 0, 3, 2, 3, 4, 0, 1, 2, 0, 2, 2, 1, 4, 2, 1, 3, 2, 2, 4, 0, 1, 4] pubkeycol1351 = [4, 0, 2, 3, 1, 2, 1, 3, 4, 3, 2, 0, 3, 0, 4, 1, 3, 4, 1, 0, 2, 0, 1, 2, 1, 1, 4, 3, 1, 0, 1, 4, 2, 2, 4, 3, 3, 4, 4, 1, 3, 3, 2, 2, 3, 3, 2, 3, 3, 0, 2, 3, 1, 4, 2, 3, 0, 1, 1, 3, 0, 1, 2, 4, 1, 2, 3, 0, 0, 4, 4, 0, 2, 0, 1, 0, 1, 2, 4, 2, 3, 2, 0, 2, 4, 1, 2, 2, 1, 2, 2, 3, 2, 1, 3, 4, 2, 3, 4, 1, 1, 0, 0, 3, 4, 0, 1, 0, 4, 2, 3, 4, 3, 4, 0, 0, 1, 1, 2, 4, 2, 2, 4, 2, 0, 3, 3, 2, 1, 1, 1, 1, 1, 3, 4, 1, 4, 3, 4, 2, 1, 0, 1, 2, 3, 2, 0, 1, 4, 0, 4, 0, 4, 3, 4, 3, 4, 4, 0, 4, 1, 4, 0, 4, 3, 3, 2, 4, 3, 1, 4, 2, 3, 4, 0, 4, 3, 3, 2, 0, 2, 1, 2, 2, 2, 1, 2, 4, 1, 2, 1, 2, 0, 2, 1, 4, 3, 4, 2, 1, 3, 0, 4, 2, 3, 4, 1, 0, 0, 3, 1, 3, 3, 1, 2, 4, 0, 0, 3, 3, 1, 0, 0, 0, 3, 2, 1, 2, 0, 2, 0, 2, 4, 1, 4, 3, 0, 3, 0, 1, 2, 2, 1, 2, 1, 3, 3, 0, 1, 2, 1, 3, 1, 3, 4, 2, 0, 1, 4, 3, 4, 1, 1, 3, 1, 1, 4, 4, 4, 4, 3, 1, 1, 4, 0, 0, 2, 3, 4, 0, 4, 1, 2, 4, 1, 1, 3, 1, 1, 1, 0, 1, 0, 1, 4, 4, 2, 0, 2, 3, 1, 0, 0, 4, 1, 0, 1, 0, 2, 1, 1, 0, 1, 3, 2, 2, 4, 0, 1, 2] pubkeycol1352 = [4, 0, 2, 3, 1, 0, 3, 0, 4, 2, 3, 3, 3, 4, 0, 1, 1, 2, 3, 4, 4, 3, 2, 2, 3, 0, 4, 1, 3, 0, 2, 4, 3, 0, 1, 0, 2, 3, 0, 1, 4, 1, 0, 2, 4, 0, 1, 4, 4, 4, 0, 0, 2, 0, 2, 4, 4, 1, 3, 4, 4, 0, 0, 3, 0, 3, 3, 3, 0, 0, 4, 1, 4, 4, 1, 3, 3, 4, 0, 0, 3, 2, 0, 3, 3, 4, 4, 4, 0, 2, 4, 0, 4, 4, 0, 4, 1, 1, 2, 1, 2, 4, 4, 1, 0, 2, 0, 2, 0, 0, 4, 0, 4, 3, 0, 3, 4, 3, 1, 3, 1, 3, 3, 0, 0, 1, 2, 3, 4, 2, 3, 3, 2, 3, 1, 1, 2, 2, 2, 0, 4, 4, 4, 4, 4, 4, 1, 3, 3, 2, 3, 0, 1, 4, 1, 4, 1, 4, 0, 0, 1, 2, 3, 0, 0, 2, 2, 2, 1, 3, 1, 4, 2, 1, 1, 0, 0, 1, 2, 3, 2, 3, 1, 0, 4, 4, 3, 2, 3, 2, 4, 1, 2, 3, 0, 4, 3, 2, 0, 0, 3, 2, 1, 4, 4, 4, 3, 3, 4, 2, 3, 1, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 1, 2, 0, 1, 0, 3, 3, 1, 1, 0, 3, 1, 3, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 4, 2, 0, 2, 0, 4, 3, 3, 3, 0, 0, 4, 3, 1, 4, 2, 3, 3, 4, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 2, 3, 0, 1, 4, 2, 1, 0, 3, 1, 2, 0, 0, 1, 4, 2, 4, 0, 0, 3, 4, 0, 3, 1, 2, 4, 4, 3, 2, 1, 3, 1, 4] pubkeycol1353 = [2, 0, 4, 2, 2, 4, 4, 0, 1, 0, 0, 2, 1, 3, 1, 3, 3, 3, 0, 1, 1, 0, 0, 1, 4, 4, 2, 3, 3, 2, 0, 1, 3, 3, 2, 3, 3, 2, 0, 3, 4, 1, 0, 2, 0, 4, 3, 3, 1, 4, 3, 1, 4, 0, 4, 2, 0, 4, 2, 0, 0, 2, 3, 0, 1, 0, 2, 4, 4, 4, 0, 0, 1, 3, 4, 1, 2, 0, 1, 2, 2, 1, 4, 3, 3, 2, 3, 1, 3, 1, 4, 1, 1, 2, 0, 3, 1, 1, 4, 0, 4, 3, 3, 1, 0, 1, 3, 3, 4, 2, 3, 4, 1, 2, 3, 0, 1, 0, 4, 4, 1, 0, 0, 4, 3, 3, 2, 0, 4, 2, 3, 0, 0, 2, 1, 2, 1, 3, 4, 0, 3, 0, 0, 4, 1, 4, 0, 2, 0, 1, 2, 3, 4, 0, 2, 2, 3, 1, 1, 3, 0, 0, 3, 1, 3, 1, 4, 3, 0, 4, 3, 4, 2, 3, 1, 0, 4, 4, 0, 3, 3, 0, 1, 0, 2, 3, 4, 1, 2, 1, 3, 3, 4, 3, 0, 2, 2, 1, 3, 2, 1, 4, 0, 4, 2, 0, 1, 2, 1, 0, 2, 3, 0, 1, 4, 1, 4, 0, 3, 1, 0, 3, 4, 0, 3, 1, 1, 0, 0, 3, 3, 3, 1, 0, 2, 4, 4, 3, 4, 3, 0, 2, 0, 4, 3, 4, 1, 3, 1, 2, 3, 4, 4, 1, 0, 1, 3, 3, 2, 2, 2, 1, 1, 2, 4, 3, 0, 3, 2, 4, 3, 1, 4, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 3, 3, 3, 4, 3, 2, 4, 4, 2, 4, 2, 3, 0, 1, 0, 0, 0, 3, 1, 0, 3, 2, 1, 0, 2, 4, 2, 4, 2, 1, 0, 0, 3, 0, 2, 3] pubkeycol1354 = [0, 4, 1, 3, 1, 3, 3, 3, 4, 0, 1, 1, 4, 4, 1, 4, 2, 4, 1, 2, 3, 4, 4, 4, 2, 0, 0, 0, 2, 1, 3, 2, 2, 1, 3, 0, 3, 3, 3, 2, 2, 0, 2, 4, 1, 2, 1, 4, 2, 4, 2, 2, 0, 3, 0, 2, 1, 1, 4, 4, 3, 2, 3, 4, 0, 4, 4, 0, 3, 3, 1, 0, 4, 2, 1, 2, 4, 2, 1, 2, 0, 3, 2, 2, 2, 3, 1, 4, 3, 0, 3, 2, 1, 3, 3, 2, 3, 0, 2, 1, 4, 3, 3, 3, 3, 0, 1, 3, 2, 1, 3, 3, 1, 0, 3, 4, 1, 3, 0, 2, 0, 1, 4, 1, 3, 2, 4, 2, 1, 4, 4, 2, 3, 3, 3, 1, 0, 3, 3, 0, 1, 4, 1, 1, 4, 1, 0, 2, 1, 2, 1, 1, 4, 2, 2, 4, 4, 2, 0, 4, 4, 2, 4, 0, 4, 1, 1, 2, 0, 4, 0, 0, 2, 1, 3, 2, 0, 0, 3, 1, 1, 2, 2, 2, 0, 3, 4, 0, 3, 0, 2, 0, 3, 0, 0, 1, 4, 2, 2, 4, 4, 0, 1, 0, 3, 2, 1, 4, 3, 3, 3, 0, 1, 4, 3, 4, 1, 3, 4, 3, 0, 2, 4, 3, 3, 3, 1, 0, 1, 2, 1, 4, 3, 3, 4, 0, 0, 2, 4, 2, 3, 2, 2, 4, 4, 1, 4, 4, 0, 4, 0, 0, 1, 4, 1, 3, 2, 3, 2, 2, 3, 4, 3, 2, 0, 3, 4, 4, 2, 4, 2, 1, 1, 0, 4, 4, 1, 4, 0, 4, 3, 0, 0, 0, 3, 2, 2, 0, 2, 4, 1, 2, 1, 1, 4, 0, 3, 3, 3, 3, 0, 2, 1, 3, 3, 4, 1, 4, 0, 2, 1, 3, 0, 4, 4, 1, 3, 4, 2, 4] pubkeycol1355 = [2, 2, 1, 1, 3, 0, 4, 4, 1, 2, 2, 4, 0, 0, 2, 0, 3, 3, 0, 3, 1, 3, 1, 4, 3, 3, 3, 2, 3, 4, 1, 0, 4, 1, 0, 4, 1, 3, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 3, 0, 2, 4, 2, 4, 3, 3, 0, 3, 3, 4, 3, 0, 1, 4, 1, 1, 4, 0, 3, 3, 1, 3, 4, 1, 1, 0, 2, 1, 1, 3, 2, 1, 3, 2, 3, 4, 4, 2, 3, 3, 4, 2, 2, 0, 0, 4, 4, 3, 3, 0, 4, 3, 1, 2, 3, 3, 1, 2, 0, 0, 1, 2, 1, 0, 3, 0, 4, 2, 4, 1, 3, 3, 3, 0, 4, 0, 3, 0, 0, 2, 3, 0, 1, 1, 2, 2, 0, 0, 1, 4, 2, 0, 3, 4, 1, 0, 0, 2, 1, 1, 2, 1, 4, 3, 2, 4, 0, 0, 2, 2, 2, 3, 3, 3, 0, 3, 4, 3, 4, 2, 4, 1, 2, 4, 3, 1, 2, 1, 2, 2, 0, 2, 3, 1, 0, 4, 4, 0, 0, 4, 4, 3, 1, 3, 1, 0, 0, 0, 3, 3, 3, 0, 1, 3, 2, 4, 3, 1, 3, 3, 2, 1, 1, 2, 3, 1, 3, 4, 1, 4, 3, 3, 3, 2, 2, 1, 0, 1, 2, 4, 1, 1, 3, 1, 4, 2, 0, 3, 3, 0, 0, 2, 4, 1, 2, 1, 0, 2, 1, 4, 3, 3, 0, 1, 4, 2, 4, 2, 3, 0, 2, 2, 1, 3, 1, 3, 1, 3, 2, 0, 3, 1, 3, 1, 4, 2, 2, 2, 3, 2, 4, 2, 1, 4, 2, 3, 0, 2, 0, 2, 0, 3, 3, 4, 2, 2, 4, 3, 2, 2, 3, 1, 2, 1, 3, 3, 0, 0, 2, 1, 0, 2, 3, 3, 0, 1, 0] pubkeycol1356 = [2, 0, 4, 4, 0, 1, 2, 4, 0, 2, 3, 0, 0, 3, 0, 2, 3, 1, 4, 3, 0, 0, 4, 4, 4, 0, 4, 0, 1, 0, 0, 4, 2, 3, 1, 0, 2, 2, 2, 1, 2, 3, 1, 1, 0, 3, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 4, 3, 4, 0, 3, 0, 4, 3, 1, 3, 1, 2, 3, 2, 3, 3, 3, 4, 1, 3, 4, 1, 1, 1, 4, 0, 1, 0, 3, 2, 0, 2, 3, 4, 2, 4, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 3, 0, 1, 3, 4, 4, 2, 3, 3, 4, 3, 1, 0, 4, 2, 2, 4, 3, 0, 3, 2, 3, 0, 1, 2, 4, 1, 4, 0, 1, 3, 2, 0, 4, 4, 1, 1, 3, 0, 1, 3, 4, 2, 1, 1, 3, 4, 0, 2, 4, 1, 4, 1, 2, 3, 3, 4, 3, 4, 4, 1, 3, 2, 0, 3, 2, 3, 3, 2, 1, 3, 1, 3, 3, 2, 3, 1, 1, 2, 0, 2, 2, 0, 3, 0, 0, 3, 1, 1, 1, 4, 0, 0, 2, 2, 3, 4, 4, 1, 4, 1, 2, 2, 1, 3, 4, 4, 1, 0, 4, 1, 1, 3, 0, 2, 4, 4, 2, 2, 0, 3, 1, 0, 2, 2, 4, 4, 4, 0, 2, 2, 1, 4, 1, 1, 1, 2, 2, 1, 1, 1, 4, 3, 3, 3, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 3, 0, 0, 4, 3, 3, 0, 4, 1, 1, 3, 4, 2, 3, 4, 3, 4, 0, 2, 1, 1, 3, 1, 2, 0, 3, 2, 2, 4, 1, 2, 2, 2, 4, 3, 1, 1, 4, 2, 0, 4, 2, 0, 4, 2, 3, 2, 3, 3, 4, 2, 4, 2, 2, 2, 1, 3, 0, 1, 3, 0, 0] pubkeycol1357 = [2, 1, 0, 1, 1, 3, 3, 3, 4, 2, 4, 4, 3, 3, 2, 2, 0, 4, 4, 3, 1, 2, 4, 0, 3, 0, 0, 2, 0, 1, 0, 3, 2, 1, 2, 4, 3, 2, 1, 1, 3, 1, 3, 3, 1, 3, 1, 0, 0, 1, 1, 2, 1, 2, 3, 2, 3, 2, 3, 1, 3, 3, 4, 2, 4, 3, 2, 4, 0, 2, 4, 1, 0, 3, 3, 3, 2, 0, 3, 3, 4, 1, 3, 2, 2, 0, 2, 0, 3, 0, 3, 3, 4, 4, 0, 3, 0, 3, 0, 0, 3, 3, 2, 4, 4, 1, 0, 4, 1, 4, 0, 3, 1, 4, 1, 2, 1, 1, 4, 0, 2, 3, 4, 1, 3, 3, 0, 4, 1, 1, 4, 3, 0, 1, 2, 3, 3, 1, 4, 4, 3, 4, 0, 1, 3, 3, 0, 2, 3, 0, 4, 2, 0, 3, 4, 4, 4, 4, 1, 0, 0, 4, 2, 0, 1, 0, 1, 0, 2, 2, 0, 4, 3, 4, 2, 0, 4, 4, 2, 0, 2, 0, 1, 4, 1, 4, 1, 2, 4, 3, 3, 3, 0, 2, 4, 1, 0, 3, 3, 0, 3, 0, 4, 2, 1, 0, 3, 4, 1, 1, 4, 1, 1, 2, 4, 4, 0, 3, 3, 4, 4, 0, 2, 3, 1, 2, 2, 2, 2, 4, 2, 4, 1, 1, 2, 2, 2, 3, 0, 1, 3, 3, 4, 1, 4, 0, 1, 1, 1, 1, 4, 3, 1, 0, 3, 1, 0, 2, 0, 2, 4, 0, 0, 0, 2, 2, 0, 0, 0, 3, 2, 2, 3, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 3, 3, 1, 0, 3, 3, 4, 0, 1, 3, 2, 4, 0, 4, 1, 0, 2, 0, 3, 1, 1, 4, 3, 1, 1, 0, 3, 4, 2, 4, 3, 4, 1, 1, 1] pubkeycol1358 = [1, 4, 4, 0, 3, 3, 0, 4, 0, 0, 4, 2, 2, 1, 2, 1, 0, 4, 4, 2, 3, 2, 4, 2, 3, 0, 0, 0, 3, 4, 4, 0, 3, 2, 2, 2, 3, 3, 0, 2, 3, 3, 0, 1, 3, 3, 2, 4, 1, 4, 0, 0, 2, 1, 0, 4, 4, 3, 4, 4, 2, 2, 3, 3, 0, 2, 4, 0, 2, 2, 4, 4, 2, 2, 3, 1, 0, 2, 4, 0, 2, 0, 0, 1, 4, 3, 3, 0, 2, 0, 3, 1, 1, 0, 3, 1, 4, 0, 0, 3, 4, 0, 0, 0, 0, 0, 2, 2, 4, 3, 3, 3, 0, 2, 3, 4, 0, 3, 4, 4, 1, 1, 2, 0, 3, 3, 2, 1, 3, 4, 3, 0, 0, 3, 2, 1, 4, 1, 4, 0, 3, 0, 2, 4, 4, 1, 3, 3, 3, 2, 0, 4, 1, 3, 0, 0, 3, 3, 2, 3, 3, 0, 4, 1, 1, 2, 4, 1, 1, 3, 0, 3, 4, 2, 0, 0, 1, 3, 4, 2, 4, 2, 0, 1, 1, 4, 4, 0, 4, 4, 0, 4, 0, 1, 4, 3, 3, 1, 4, 3, 2, 1, 0, 1, 1, 2, 4, 4, 1, 3, 1, 4, 0, 1, 2, 2, 1, 4, 0, 2, 1, 4, 2, 0, 0, 3, 4, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 3, 3, 3, 1, 4, 2, 4, 1, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 4, 1, 0, 2, 4, 1, 3, 1, 1, 0, 0, 1, 3, 0, 1, 4, 1, 4, 3, 1, 1, 3, 0, 2, 4, 2, 4, 4, 1, 1, 1, 2, 0, 1, 4, 3, 4, 4, 1, 3, 1, 2, 1, 3, 3, 0, 0, 3, 1, 3, 2, 2, 4, 2, 4, 2, 2, 4, 4, 1, 4, 2, 4, 2, 0] pubkeycol1359 = [4, 3, 4, 0, 4, 1, 3, 1, 2, 4, 4, 4, 4, 3, 0, 1, 1, 4, 0, 2, 3, 3, 1, 0, 0, 0, 4, 2, 4, 4, 4, 1, 2, 0, 3, 0, 2, 2, 4, 0, 4, 4, 1, 3, 0, 2, 2, 4, 3, 3, 3, 4, 2, 4, 2, 1, 1, 3, 4, 3, 3, 1, 0, 1, 4, 4, 4, 1, 0, 0, 1, 2, 1, 4, 3, 3, 0, 3, 3, 3, 0, 3, 1, 4, 0, 2, 3, 0, 2, 3, 2, 3, 2, 1, 4, 2, 1, 1, 3, 2, 3, 1, 0, 4, 3, 4, 1, 1, 1, 2, 1, 1, 4, 4, 0, 4, 0, 2, 2, 4, 4, 1, 4, 2, 3, 4, 1, 0, 2, 4, 4, 3, 0, 4, 1, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 3, 2, 4, 1, 1, 4, 4, 3, 1, 2, 1, 3, 4, 0, 1, 3, 2, 4, 3, 0, 2, 1, 0, 4, 4, 3, 1, 2, 2, 3, 3, 2, 4, 2, 2, 0, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 0, 4, 4, 3, 1, 1, 3, 3, 4, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 3, 2, 3, 4, 4, 4, 3, 2, 1, 4, 2, 2, 2, 3, 1, 3, 3, 1, 4, 1, 2, 0, 2, 3, 4, 3, 1, 0, 4, 4, 1, 3, 4, 1, 0, 2, 4, 3, 0, 3, 0, 0, 4, 1, 2, 0, 4, 0, 1, 3, 3, 3, 0, 1, 1, 1, 2, 0, 3, 3, 0, 0, 1, 1, 0, 1, 1, 0, 0, 3, 1, 2, 2, 2, 3, 4, 0, 0, 4, 3, 2, 0, 2, 4, 3, 3, 1, 3, 0, 2, 3, 1, 4, 2, 3, 2, 2, 0, 4, 1, 4] pubkeycol1360 = [0, 3, 4, 1, 1, 2, 1, 1, 1, 0, 3, 0, 4, 4, 3, 0, 0, 3, 3, 0, 0, 4, 0, 4, 2, 2, 3, 2, 4, 1, 2, 1, 1, 1, 3, 2, 3, 4, 0, 2, 3, 2, 4, 2, 1, 2, 2, 4, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 3, 2, 0, 1, 1, 0, 1, 1, 4, 1, 3, 4, 3, 3, 0, 1, 1, 4, 3, 0, 0, 1, 3, 0, 4, 0, 4, 1, 3, 2, 2, 4, 0, 3, 0, 0, 1, 0, 4, 1, 2, 2, 0, 4, 4, 0, 1, 3, 4, 2, 1, 0, 4, 1, 2, 0, 2, 3, 0, 3, 4, 3, 4, 2, 1, 2, 1, 0, 4, 4, 3, 3, 0, 2, 2, 3, 2, 3, 1, 1, 2, 4, 1, 2, 0, 3, 4, 0, 3, 2, 0, 2, 1, 1, 1, 4, 2, 1, 2, 4, 3, 1, 4, 0, 1, 2, 0, 0, 2, 3, 4, 1, 0, 4, 1, 1, 2, 0, 2, 0, 1, 1, 2, 3, 2, 2, 3, 4, 0, 3, 0, 0, 0, 4, 2, 1, 0, 3, 0, 4, 1, 4, 4, 0, 2, 0, 3, 0, 3, 1, 2, 3, 1, 0, 0, 1, 0, 1, 0, 4, 1, 0, 3, 3, 2, 1, 1, 2, 3, 1, 2, 2, 2, 3, 0, 0, 4, 3, 4, 4, 1, 0, 4, 1, 1, 4, 1, 2, 3, 4, 3, 1, 3, 3, 2, 3, 3, 1, 1, 0, 2, 1, 4, 2, 3, 4, 4, 4, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 3, 0, 1, 1, 0, 4, 0, 2, 4, 3, 3, 3, 0, 4, 1, 3, 4, 4, 3, 0, 1, 3, 1, 4, 2, 3, 1, 3, 2, 1, 4, 4, 3, 2, 1, 0, 2, 1] pubkeycol1361 = [1, 1, 3, 3, 4, 4, 3, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 3, 2, 4, 2, 2, 4, 4, 0, 0, 1, 1, 0, 3, 0, 0, 0, 2, 3, 4, 0, 2, 2, 4, 0, 2, 0, 4, 2, 3, 3, 0, 4, 2, 0, 3, 0, 2, 3, 3, 1, 3, 1, 1, 0, 3, 0, 4, 2, 1, 4, 4, 0, 1, 1, 3, 4, 2, 0, 4, 0, 1, 3, 3, 1, 3, 0, 3, 3, 0, 4, 2, 0, 0, 3, 0, 3, 4, 1, 4, 2, 1, 3, 2, 2, 2, 4, 4, 3, 2, 4, 2, 1, 1, 2, 2, 0, 0, 3, 0, 3, 2, 2, 0, 4, 1, 0, 4, 3, 1, 2, 3, 0, 2, 4, 1, 1, 4, 0, 4, 2, 2, 2, 0, 4, 1, 0, 1, 3, 4, 3, 0, 3, 0, 2, 1, 2, 3, 0, 1, 3, 2, 3, 1, 3, 4, 3, 0, 2, 4, 0, 3, 2, 3, 4, 0, 4, 2, 2, 3, 2, 4, 0, 2, 0, 3, 0, 0, 0, 3, 3, 3, 4, 1, 4, 0, 3, 3, 1, 2, 3, 3, 4, 4, 3, 1, 1, 3, 0, 4, 0, 4, 3, 0, 0, 1, 0, 2, 4, 2, 3, 4, 2, 3, 3, 2, 3, 3, 2, 4, 1, 4, 2, 0, 4, 1, 0, 1, 1, 0, 2, 4, 3, 0, 4, 4, 2, 1, 4, 1, 3, 0, 2, 1, 4, 1, 1, 4, 1, 1, 4, 1, 2, 0, 4, 2, 1, 4, 3, 2, 2, 3, 4, 0, 0, 4, 0, 1, 1, 2, 2, 4, 2, 0, 1, 0, 2, 3, 1, 3, 3, 2, 4, 0, 3, 1, 0, 2, 4, 2, 1, 0, 2, 1, 4, 2, 2, 3, 1, 2, 4, 0, 3, 0, 2, 1, 3, 0, 3] pubkeycol1362 = [4, 4, 3, 2, 1, 1, 3, 3, 0, 2, 3, 3, 3, 0, 0, 3, 4, 2, 1, 1, 3, 1, 4, 0, 0, 0, 4, 3, 1, 2, 3, 4, 1, 1, 3, 2, 3, 4, 0, 4, 3, 3, 1, 4, 4, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 4, 2, 2, 1, 0, 1, 4, 4, 1, 0, 0, 4, 1, 2, 0, 2, 4, 0, 2, 4, 4, 2, 1, 2, 2, 0, 0, 2, 1, 3, 1, 2, 3, 1, 2, 3, 2, 2, 3, 3, 2, 2, 0, 4, 0, 4, 0, 0, 1, 3, 0, 0, 0, 4, 4, 0, 3, 1, 3, 2, 0, 3, 0, 2, 3, 4, 2, 3, 2, 4, 1, 1, 2, 1, 3, 3, 3, 0, 0, 0, 0, 4, 3, 0, 2, 2, 0, 4, 4, 3, 2, 2, 4, 1, 1, 1, 2, 3, 0, 0, 1, 4, 1, 0, 1, 0, 0, 4, 3, 0, 2, 2, 1, 2, 3, 2, 1, 2, 1, 3, 3, 4, 1, 2, 0, 1, 1, 3, 0, 0, 2, 2, 3, 1, 1, 0, 0, 2, 4, 4, 3, 3, 1, 4, 0, 1, 3, 4, 3, 0, 0, 4, 3, 4, 0, 3, 1, 3, 1, 2, 3, 0, 4, 3, 2, 3, 0, 3, 0, 2, 2, 3, 1, 0, 0, 2, 4, 1, 0, 2, 4, 4, 0, 3, 0, 2, 4, 4, 1, 4, 3, 2, 1, 1, 4, 3, 3, 1, 2, 2, 3, 3, 4, 1, 2, 2, 3, 4, 0, 3, 0, 0, 1, 4, 3, 2, 1, 2, 4, 3, 3, 3, 2, 4, 1, 1, 4, 3, 1, 3, 2, 2, 0, 2, 0, 4, 3, 0, 3, 2, 4, 3, 1, 3, 0, 2, 2, 3, 4, 1, 1, 1, 4, 4, 3, 1, 4, 1, 4, 1, 0, 0, 3, 1] pubkeycol1363 = [2, 1, 3, 3, 0, 2, 3, 1, 0, 2, 4, 4, 0, 3, 0, 1, 1, 0, 0, 3, 3, 1, 0, 4, 1, 4, 3, 0, 2, 4, 0, 3, 0, 0, 1, 1, 1, 3, 3, 1, 0, 2, 1, 0, 1, 2, 1, 2, 4, 2, 2, 2, 2, 3, 0, 4, 0, 0, 0, 2, 0, 2, 3, 1, 3, 3, 4, 3, 1, 2, 3, 2, 2, 2, 3, 0, 2, 2, 3, 1, 1, 2, 4, 0, 0, 4, 2, 3, 4, 4, 2, 1, 0, 4, 3, 3, 1, 2, 2, 2, 3, 1, 2, 3, 3, 4, 3, 1, 1, 3, 2, 2, 4, 0, 2, 0, 4, 0, 3, 2, 1, 4, 4, 3, 3, 2, 3, 3, 0, 1, 2, 3, 4, 4, 4, 1, 2, 3, 0, 1, 1, 1, 0, 3, 3, 2, 4, 2, 4, 0, 2, 0, 1, 3, 0, 4, 2, 2, 3, 3, 0, 2, 0, 4, 2, 3, 0, 4, 3, 2, 1, 1, 4, 4, 2, 3, 4, 2, 4, 3, 3, 0, 3, 2, 4, 2, 0, 1, 0, 0, 4, 1, 2, 4, 0, 0, 0, 4, 1, 2, 0, 0, 0, 2, 1, 0, 4, 0, 0, 1, 2, 0, 3, 1, 4, 1, 3, 0, 4, 4, 0, 2, 2, 2, 3, 4, 0, 1, 4, 3, 0, 3, 3, 3, 0, 4, 2, 0, 1, 0, 3, 2, 2, 1, 3, 3, 2, 4, 4, 2, 1, 3, 3, 1, 3, 1, 2, 4, 3, 2, 3, 4, 0, 3, 0, 0, 4, 2, 1, 2, 4, 0, 3, 2, 1, 1, 2, 0, 3, 2, 1, 3, 0, 0, 1, 1, 2, 0, 1, 3, 1, 1, 3, 3, 2, 0, 3, 1, 1, 4, 2, 1, 2, 3, 3, 1, 3, 1, 3, 1, 2, 0, 0, 0, 3, 2, 2, 2, 3, 1] pubkeycol1364 = [3, 0, 1, 2, 4, 2, 3, 2, 1, 0, 1, 0, 1, 0, 1, 2, 3, 1, 0, 4, 4, 4, 4, 2, 4, 0, 1, 4, 0, 1, 1, 3, 2, 3, 3, 3, 4, 0, 0, 4, 2, 1, 4, 3, 4, 3, 4, 4, 1, 2, 3, 4, 1, 4, 3, 2, 4, 1, 4, 3, 0, 3, 0, 4, 3, 4, 2, 1, 0, 2, 0, 1, 3, 3, 4, 1, 0, 1, 3, 2, 0, 0, 4, 2, 4, 2, 2, 0, 1, 4, 4, 3, 1, 3, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 3, 2, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 1, 2, 3, 4, 2, 0, 2, 3, 4, 1, 3, 0, 2, 1, 2, 4, 3, 3, 2, 0, 2, 2, 2, 0, 0, 3, 4, 2, 2, 2, 4, 1, 3, 4, 2, 3, 0, 4, 3, 3, 2, 2, 2, 1, 4, 4, 2, 4, 1, 3, 4, 2, 1, 1, 1, 3, 3, 0, 1, 2, 0, 2, 2, 0, 3, 4, 0, 4, 4, 4, 4, 1, 4, 1, 3, 0, 0, 2, 2, 4, 0, 0, 1, 0, 0, 1, 1, 3, 4, 0, 1, 0, 1, 4, 0, 3, 3, 1, 0, 3, 2, 1, 3, 1, 0, 3, 4, 0, 3, 1, 0, 1, 0, 2, 2, 2, 3, 1, 3, 4, 3, 3, 3, 4, 3, 0, 0, 1, 1, 4, 0, 1, 3, 0, 1, 3, 4, 4, 3, 4, 3, 0, 0, 4, 2, 3, 2, 2, 2, 1, 0, 1, 0, 4, 1, 4, 1, 3, 3, 3, 1, 1, 1, 2, 2, 1, 4, 2, 0, 3, 2, 3, 2, 2, 1, 1, 4, 4, 1, 1, 0, 0, 4, 2, 0, 1, 2, 3, 1, 2, 0, 4, 2, 4, 4, 4, 3, 2, 0, 1, 0, 1, 1] pubkeycol1365 = [0, 4, 1, 2, 2, 3, 4, 2, 0, 0, 3, 1, 4, 4, 1, 3, 0, 2, 3, 4, 2, 1, 0, 2, 4, 3, 0, 2, 4, 0, 4, 4, 4, 2, 4, 4, 1, 0, 1, 1, 3, 3, 2, 4, 2, 3, 3, 1, 3, 2, 2, 4, 4, 4, 0, 1, 3, 1, 3, 0, 2, 1, 4, 4, 0, 1, 2, 0, 2, 2, 3, 0, 0, 3, 1, 3, 0, 4, 4, 4, 1, 0, 1, 3, 4, 2, 3, 3, 3, 2, 3, 2, 2, 0, 3, 3, 1, 3, 2, 3, 3, 3, 2, 4, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 4, 1, 2, 2, 3, 4, 2, 4, 4, 0, 4, 4, 1, 1, 4, 1, 0, 1, 4, 2, 4, 4, 4, 3, 3, 2, 0, 4, 1, 2, 1, 1, 0, 2, 3, 3, 3, 4, 0, 3, 2, 2, 2, 3, 2, 4, 3, 1, 2, 2, 1, 3, 3, 0, 2, 2, 1, 0, 3, 0, 0, 1, 4, 1, 1, 1, 1, 0, 4, 1, 3, 0, 4, 4, 2, 2, 0, 0, 4, 0, 1, 4, 3, 3, 3, 2, 0, 3, 3, 0, 3, 2, 0, 2, 1, 4, 1, 2, 0, 4, 1, 2, 2, 2, 4, 0, 0, 2, 3, 3, 1, 0, 2, 1, 1, 4, 0, 4, 3, 0, 4, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 0, 0, 0, 1, 0, 3, 3, 2, 4, 1, 1, 0, 1, 4, 2, 2, 0, 4, 4, 1, 4, 1, 4, 4, 0, 3, 2, 0, 1, 0, 4, 1, 3, 3, 4, 3, 1, 3, 2, 1, 0, 4, 0, 0, 3, 3, 3, 2, 0, 2, 3, 0, 1, 0, 2, 4, 3, 4, 4, 1, 0, 3, 4, 1, 3, 3, 2, 4, 1, 2, 4, 0, 0, 1, 1] pubkeycol1366 = [1, 0, 4, 0, 0, 1, 0, 3, 3, 0, 0, 2, 2, 3, 1, 0, 3, 0, 3, 3, 3, 3, 4, 1, 4, 4, 3, 3, 4, 0, 3, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 4, 3, 0, 0, 0, 1, 3, 4, 0, 3, 1, 4, 1, 1, 0, 4, 1, 3, 1, 2, 1, 4, 3, 2, 2, 2, 3, 4, 0, 3, 3, 1, 0, 2, 4, 4, 1, 0, 0, 4, 2, 2, 3, 4, 1, 2, 3, 4, 2, 1, 0, 0, 3, 1, 4, 0, 0, 4, 1, 4, 1, 3, 1, 0, 3, 3, 1, 3, 1, 0, 0, 3, 1, 4, 3, 1, 1, 2, 1, 1, 4, 0, 3, 4, 4, 1, 1, 3, 3, 3, 1, 3, 0, 4, 1, 3, 2, 0, 4, 3, 2, 3, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 3, 1, 0, 1, 2, 4, 4, 4, 4, 3, 0, 0, 0, 4, 4, 4, 3, 2, 3, 4, 2, 3, 4, 1, 0, 4, 4, 1, 2, 3, 3, 2, 3, 4, 1, 1, 2, 0, 3, 4, 2, 4, 2, 4, 2, 3, 4, 3, 2, 1, 4, 4, 0, 4, 2, 2, 3, 1, 4, 4, 3, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 4, 4, 4, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 4, 3, 1, 0, 4, 2, 1, 2, 0, 0, 3, 3, 1, 3, 1, 1, 2, 0, 2, 3, 1, 3, 4, 4, 3, 0, 0, 4, 3, 1, 2, 3, 0, 4, 1, 3, 3, 4, 3, 0, 2, 0, 3, 3, 3, 3, 0, 3, 1, 0, 4, 2, 3, 2, 3, 4, 2, 2, 1, 0, 3, 3, 4, 0, 4, 1, 2, 1, 0, 4, 2] pubkeycol1367 = [4, 1, 0, 4, 4, 0, 4, 2, 1, 0, 0, 1, 0, 0, 0, 4, 1, 4, 2, 1, 4, 4, 4, 0, 2, 1, 3, 4, 2, 1, 4, 1, 4, 2, 4, 1, 4, 1, 0, 3, 0, 3, 2, 1, 0, 1, 3, 4, 4, 3, 1, 4, 2, 2, 3, 2, 2, 2, 1, 1, 4, 0, 2, 1, 1, 2, 0, 3, 0, 2, 2, 1, 4, 4, 4, 2, 4, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 4, 0, 2, 2, 1, 4, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 3, 4, 3, 3, 0, 1, 0, 0, 1, 1, 0, 0, 3, 4, 2, 3, 0, 1, 0, 3, 1, 0, 4, 3, 2, 3, 3, 2, 3, 0, 2, 4, 4, 3, 3, 4, 1, 0, 1, 0, 1, 4, 4, 3, 2, 0, 0, 3, 4, 1, 2, 0, 4, 0, 4, 0, 4, 3, 3, 4, 1, 0, 3, 4, 4, 0, 4, 2, 3, 2, 4, 4, 3, 4, 1, 2, 4, 2, 3, 0, 4, 0, 4, 3, 3, 3, 4, 4, 4, 0, 0, 4, 4, 1, 0, 1, 4, 2, 4, 3, 2, 1, 2, 4, 0, 2, 1, 0, 0, 1, 4, 1, 0, 2, 0, 4, 3, 4, 2, 2, 4, 2, 4, 4, 1, 1, 0, 4, 1, 1, 1, 3, 3, 1, 2, 1, 1, 4, 2, 0, 1, 1, 3, 3, 4, 1, 1, 4, 0, 0, 4, 3, 1, 0, 1, 1, 2, 4, 3, 2, 4, 2, 3, 4, 0, 3, 4, 0, 3, 1, 3, 3, 1, 1, 1, 1, 2, 3, 0, 2, 4, 3, 4, 1, 1, 4, 0, 0, 3, 0, 2, 2, 3, 0, 1, 2, 3, 0, 3, 3, 4, 0, 1, 0, 1, 0, 3, 1, 0, 1, 2, 0, 2] pubkeycol1368 = [4, 3, 0, 3, 3, 2, 2, 1, 3, 0, 3, 2, 1, 0, 3, 2, 2, 2, 0, 2, 0, 4, 0, 4, 4, 2, 2, 3, 3, 3, 3, 0, 4, 0, 1, 4, 2, 1, 3, 1, 4, 4, 1, 2, 3, 0, 2, 4, 2, 1, 0, 3, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 4, 3, 2, 4, 4, 3, 2, 1, 4, 4, 2, 0, 0, 1, 0, 0, 4, 0, 0, 1, 2, 3, 1, 0, 3, 2, 0, 0, 2, 3, 3, 2, 1, 0, 3, 1, 2, 1, 1, 4, 0, 1, 0, 3, 2, 1, 4, 4, 3, 1, 4, 0, 2, 4, 1, 0, 2, 0, 3, 3, 2, 1, 4, 3, 2, 2, 2, 3, 3, 3, 0, 1, 3, 0, 0, 1, 1, 2, 2, 0, 3, 2, 0, 4, 4, 1, 1, 3, 3, 1, 0, 2, 3, 0, 0, 1, 2, 4, 0, 3, 1, 3, 0, 1, 4, 1, 2, 3, 4, 1, 0, 4, 2, 2, 0, 2, 1, 0, 2, 4, 0, 4, 1, 3, 0, 1, 1, 0, 1, 2, 0, 3, 4, 3, 2, 1, 4, 2, 3, 2, 0, 2, 0, 4, 2, 2, 3, 3, 0, 1, 1, 3, 3, 0, 0, 0, 2, 3, 0, 4, 4, 3, 4, 4, 3, 3, 0, 0, 3, 0, 3, 1, 0, 2, 4, 1, 1, 0, 2, 0, 0, 0, 4, 0, 2, 1, 0, 1, 1, 2, 4, 1, 4, 3, 0, 2, 2, 0, 1, 3, 0, 0, 0, 1, 2, 4, 2, 4, 0, 3, 1, 2, 4, 0, 1, 4, 2, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 0, 0, 3, 1, 3, 1, 1, 0, 1, 2, 1, 1, 1, 4, 3, 0, 1, 0, 4, 2, 1, 3, 3, 0, 1, 4, 1, 3, 3] pubkeycol1369 = [3, 1, 1, 2, 2, 2, 1, 4, 3, 4, 2, 2, 0, 2, 1, 1, 0, 2, 3, 3, 2, 0, 3, 4, 1, 4, 0, 3, 3, 1, 0, 3, 1, 2, 0, 3, 1, 0, 0, 3, 1, 3, 1, 0, 1, 4, 2, 2, 3, 1, 3, 4, 3, 4, 2, 4, 1, 4, 0, 1, 3, 1, 2, 0, 2, 1, 1, 0, 1, 0, 4, 2, 3, 1, 4, 0, 0, 3, 4, 2, 1, 2, 1, 0, 3, 2, 2, 2, 0, 3, 3, 4, 1, 3, 3, 4, 1, 4, 2, 3, 0, 2, 1, 4, 0, 2, 0, 2, 0, 0, 0, 2, 3, 3, 3, 2, 1, 3, 4, 0, 0, 0, 4, 2, 3, 1, 2, 3, 4, 4, 0, 1, 4, 4, 1, 4, 1, 3, 1, 2, 0, 0, 2, 3, 2, 4, 3, 1, 3, 1, 2, 1, 1, 1, 1, 0, 3, 1, 1, 1, 0, 1, 3, 2, 2, 1, 2, 2, 2, 4, 3, 0, 0, 2, 1, 2, 3, 0, 4, 4, 2, 0, 3, 0, 2, 4, 2, 3, 1, 2, 4, 4, 3, 2, 1, 4, 2, 0, 4, 0, 3, 4, 1, 2, 3, 2, 1, 1, 2, 2, 4, 0, 3, 2, 4, 2, 2, 1, 4, 3, 1, 1, 1, 2, 1, 2, 0, 4, 3, 2, 3, 3, 1, 0, 1, 3, 0, 1, 0, 2, 2, 4, 1, 3, 0, 0, 0, 3, 3, 3, 0, 3, 2, 1, 2, 1, 2, 3, 2, 3, 3, 2, 3, 4, 0, 2, 4, 3, 2, 2, 0, 4, 4, 1, 4, 4, 3, 3, 3, 0, 0, 1, 4, 1, 2, 0, 1, 0, 3, 3, 1, 0, 2, 4, 2, 2, 0, 3, 0, 2, 1, 0, 3, 0, 3, 2, 0, 0, 4, 0, 4, 4, 2, 0, 3, 1, 2, 4, 3, 3] pubkeycol1370 = [3, 2, 4, 4, 3, 3, 1, 0, 1, 0, 3, 2, 3, 4, 4, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 4, 3, 1, 4, 4, 0, 4, 1, 1, 1, 3, 2, 3, 4, 1, 2, 3, 0, 1, 3, 4, 0, 3, 4, 3, 1, 1, 2, 2, 2, 4, 1, 2, 0, 2, 1, 4, 4, 4, 0, 0, 4, 2, 2, 2, 4, 3, 2, 4, 4, 1, 2, 1, 0, 1, 3, 3, 4, 1, 1, 2, 0, 1, 4, 1, 2, 3, 3, 3, 2, 1, 1, 1, 1, 0, 2, 3, 4, 4, 4, 0, 1, 3, 2, 3, 3, 0, 3, 2, 1, 1, 3, 3, 1, 4, 0, 0, 3, 4, 1, 1, 0, 1, 2, 3, 2, 0, 3, 0, 3, 2, 2, 1, 2, 4, 0, 4, 4, 1, 2, 4, 2, 2, 0, 2, 4, 0, 0, 0, 0, 4, 1, 0, 2, 2, 4, 0, 3, 4, 3, 2, 0, 3, 4, 0, 3, 4, 3, 1, 1, 2, 4, 2, 0, 0, 0, 1, 3, 4, 1, 1, 2, 2, 0, 4, 3, 4, 0, 1, 3, 3, 2, 2, 1, 3, 1, 1, 2, 2, 4, 0, 4, 4, 2, 3, 4, 3, 1, 4, 0, 3, 2, 3, 4, 1, 4, 3, 3, 3, 2, 0, 0, 4, 4, 1, 3, 0, 4, 4, 2, 0, 3, 2, 3, 3, 3, 3, 0, 2, 1, 0, 3, 2, 2, 4, 3, 4, 1, 1, 3, 0, 1, 2, 3, 3, 0, 3, 3, 2, 1, 3, 0, 0, 4, 2, 3, 0, 4, 1, 4, 2, 0, 3, 2, 2, 0, 1, 3, 4, 3, 0, 3, 2, 3, 3, 2, 1, 3, 0, 2, 4, 1, 2, 2, 4, 0, 1, 2, 4, 2, 4, 1, 2, 2, 2, 0, 3, 0, 4, 2, 3, 4, 4, 4, 4] pubkeycol1371 = [2, 1, 2, 2, 3, 4, 3, 4, 2, 0, 3, 1, 3, 1, 2, 3, 0, 4, 0, 2, 3, 1, 0, 1, 2, 0, 3, 1, 2, 1, 4, 4, 3, 2, 2, 4, 4, 0, 2, 2, 3, 1, 4, 2, 1, 0, 3, 4, 4, 2, 2, 4, 0, 0, 0, 4, 0, 4, 3, 3, 0, 0, 2, 3, 0, 0, 2, 3, 1, 0, 1, 3, 4, 2, 4, 1, 3, 1, 3, 1, 3, 4, 2, 2, 0, 4, 1, 4, 4, 2, 3, 2, 4, 0, 4, 2, 3, 3, 4, 4, 1, 0, 3, 3, 1, 3, 0, 3, 2, 3, 0, 4, 2, 4, 2, 1, 4, 1, 3, 2, 1, 2, 3, 4, 1, 0, 4, 0, 2, 2, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 2, 1, 3, 2, 2, 4, 0, 2, 4, 0, 1, 4, 4, 1, 4, 0, 4, 1, 2, 1, 3, 4, 4, 3, 0, 4, 0, 0, 3, 1, 4, 2, 1, 3, 0, 0, 3, 0, 1, 1, 4, 2, 1, 3, 2, 1, 0, 1, 3, 2, 3, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 4, 4, 2, 4, 2, 0, 0, 0, 3, 2, 4, 1, 0, 2, 3, 0, 0, 0, 4, 3, 1, 1, 1, 4, 1, 1, 0, 2, 4, 3, 0, 0, 3, 2, 4, 1, 4, 1, 2, 3, 3, 0, 0, 0, 1, 4, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 3, 1, 0, 4, 1, 1, 0, 1, 2, 4, 0, 1, 4, 2, 0, 2, 0, 4, 4, 2, 3, 3, 1, 3, 2, 3, 4, 2, 4, 1, 1, 0, 3, 4, 3, 4, 2, 4, 2, 4, 4, 3, 1, 3, 3, 0, 0, 1, 0, 4, 0, 2, 1, 0, 3, 2, 2] pubkeycol1372 = [1, 3, 3, 2, 3, 4, 4, 4, 2, 2, 0, 1, 3, 0, 1, 4, 0, 2, 2, 2, 1, 4, 1, 4, 3, 3, 2, 2, 4, 0, 0, 0, 0, 0, 3, 2, 1, 1, 1, 4, 3, 3, 2, 4, 0, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 0, 3, 0, 1, 4, 1, 3, 0, 2, 2, 3, 0, 3, 0, 2, 2, 4, 1, 1, 2, 3, 2, 1, 1, 0, 3, 4, 4, 0, 0, 0, 3, 0, 3, 0, 4, 0, 4, 1, 3, 4, 1, 3, 3, 1, 0, 1, 0, 4, 1, 1, 3, 2, 3, 4, 0, 1, 0, 4, 0, 0, 4, 0, 4, 0, 2, 2, 0, 4, 2, 3, 3, 0, 3, 1, 4, 1, 3, 0, 4, 0, 2, 1, 4, 2, 3, 2, 3, 4, 1, 4, 2, 3, 1, 3, 4, 1, 3, 0, 4, 3, 1, 1, 3, 0, 1, 3, 2, 3, 4, 0, 4, 4, 1, 0, 3, 0, 1, 1, 1, 4, 3, 1, 3, 2, 0, 2, 0, 3, 4, 3, 1, 2, 2, 4, 0, 0, 4, 1, 2, 1, 2, 0, 1, 2, 4, 0, 4, 4, 4, 3, 2, 4, 1, 4, 2, 0, 1, 2, 3, 2, 0, 1, 2, 2, 0, 4, 0, 3, 3, 3, 4, 0, 4, 4, 2, 1, 0, 2, 3, 3, 0, 4, 3, 3, 4, 0, 2, 1, 0, 0, 3, 3, 3, 2, 4, 1, 0, 4, 1, 2, 4, 1, 3, 2, 4, 2, 2, 2, 0, 0, 4, 2, 3, 4, 0, 0, 0, 4, 2, 4, 3, 0, 0, 3, 3, 4, 1, 3, 4, 2, 1, 3, 4, 0, 4, 2, 2, 3, 4, 3, 2, 1, 4, 0, 4, 2, 0, 2, 4, 4, 1, 0, 4, 3, 4, 4, 0, 1, 0, 2, 2, 1, 3, 0] pubkeycol1373 = [0, 2, 0, 3, 0, 1, 3, 4, 2, 2, 1, 4, 2, 2, 4, 1, 1, 0, 4, 4, 0, 4, 0, 4, 1, 0, 0, 3, 4, 2, 1, 1, 0, 2, 3, 3, 1, 4, 3, 4, 3, 2, 0, 3, 1, 2, 2, 1, 2, 0, 0, 1, 3, 4, 2, 3, 2, 0, 3, 3, 1, 1, 4, 3, 1, 0, 4, 0, 2, 2, 1, 0, 4, 1, 1, 3, 1, 4, 2, 4, 4, 0, 4, 2, 0, 0, 0, 4, 0, 0, 1, 1, 0, 2, 3, 1, 0, 1, 4, 0, 2, 4, 3, 3, 3, 2, 4, 2, 1, 2, 4, 4, 1, 4, 4, 2, 0, 2, 1, 3, 3, 2, 2, 1, 2, 1, 4, 0, 0, 2, 3, 0, 4, 2, 3, 2, 4, 0, 0, 0, 2, 1, 3, 0, 4, 1, 1, 4, 1, 4, 0, 0, 2, 4, 4, 0, 2, 2, 1, 1, 1, 0, 3, 2, 2, 4, 2, 0, 3, 1, 3, 4, 0, 2, 2, 0, 3, 0, 2, 4, 0, 1, 3, 0, 1, 1, 3, 1, 0, 3, 4, 3, 4, 4, 3, 3, 0, 1, 2, 2, 1, 2, 4, 1, 2, 4, 1, 3, 2, 0, 1, 2, 2, 4, 0, 1, 3, 0, 2, 3, 3, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 3, 0, 2, 4, 0, 3, 1, 1, 0, 1, 2, 3, 3, 2, 3, 2, 0, 4, 1, 1, 0, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 3, 3, 3, 1, 4, 0, 1, 4, 1, 0, 3, 1, 4, 4, 3, 0, 2, 2, 2, 0, 2, 2, 3, 1, 0, 2, 4, 3, 4, 0, 0, 1, 0, 1, 2, 1, 3, 2, 4, 4, 3, 0, 2, 2, 0, 0, 3, 4, 2, 1, 4] pubkeycol1374 = [1, 1, 4, 0, 0, 1, 2, 0, 3, 3, 0, 1, 2, 4, 4, 3, 3, 2, 0, 1, 3, 2, 2, 0, 1, 1, 0, 2, 4, 1, 4, 2, 3, 2, 1, 0, 1, 0, 1, 3, 0, 2, 0, 4, 2, 1, 2, 3, 2, 2, 3, 3, 1, 2, 4, 0, 0, 3, 2, 0, 1, 4, 3, 2, 4, 4, 0, 4, 3, 1, 4, 1, 0, 2, 4, 4, 3, 4, 2, 0, 0, 4, 0, 3, 4, 2, 3, 0, 1, 0, 3, 0, 3, 4, 0, 1, 4, 0, 1, 1, 4, 4, 3, 0, 1, 2, 0, 1, 1, 3, 2, 1, 3, 2, 4, 0, 0, 0, 2, 1, 4, 1, 0, 2, 4, 4, 2, 0, 1, 0, 4, 1, 0, 2, 4, 4, 0, 0, 4, 3, 2, 4, 1, 4, 1, 4, 2, 4, 3, 1, 0, 1, 0, 1, 3, 0, 3, 3, 3, 2, 0, 0, 4, 0, 3, 4, 1, 1, 3, 4, 2, 4, 4, 2, 1, 4, 3, 3, 1, 3, 2, 1, 1, 1, 4, 2, 1, 4, 4, 2, 0, 3, 1, 1, 4, 1, 2, 2, 0, 0, 3, 3, 3, 2, 4, 0, 2, 1, 0, 1, 2, 3, 2, 4, 1, 1, 3, 0, 2, 4, 0, 0, 0, 3, 3, 4, 3, 4, 2, 0, 2, 3, 3, 2, 1, 0, 3, 3, 2, 2, 4, 0, 3, 0, 0, 1, 0, 1, 3, 4, 4, 3, 1, 0, 3, 1, 4, 4, 3, 3, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 0, 3, 4, 3, 1, 2, 0, 3, 2, 1, 2, 0, 1, 4, 4, 3, 0, 2, 2, 0, 4, 4, 3, 1, 4, 4, 1, 3, 2, 3, 0, 4, 4, 0, 1, 1, 2, 4, 3, 2, 3, 2, 0, 1, 3, 4, 2, 4, 1, 3] pubkeycol1375 = [4, 4, 3, 2, 1, 2, 3, 3, 4, 2, 1, 1, 0, 4, 0, 2, 2, 0, 2, 0, 3, 0, 4, 2, 3, 2, 4, 4, 4, 4, 2, 3, 2, 1, 4, 4, 1, 0, 4, 4, 1, 0, 2, 2, 2, 1, 2, 3, 0, 0, 0, 0, 4, 1, 4, 0, 0, 2, 0, 0, 0, 1, 2, 4, 4, 1, 3, 0, 3, 3, 3, 4, 0, 3, 1, 0, 0, 3, 1, 2, 3, 4, 4, 4, 3, 1, 3, 1, 1, 1, 2, 2, 0, 3, 4, 3, 2, 3, 2, 3, 0, 3, 3, 1, 3, 3, 3, 4, 0, 3, 3, 1, 0, 0, 2, 3, 1, 4, 3, 3, 3, 3, 2, 2, 3, 1, 1, 1, 1, 2, 1, 4, 2, 0, 0, 0, 1, 3, 1, 2, 2, 3, 3, 1, 0, 4, 0, 4, 0, 1, 3, 4, 3, 1, 1, 4, 3, 0, 2, 0, 4, 0, 1, 0, 0, 2, 1, 2, 0, 3, 0, 3, 4, 3, 4, 1, 1, 4, 4, 3, 0, 1, 2, 1, 0, 2, 3, 2, 4, 4, 3, 3, 3, 4, 1, 2, 4, 4, 4, 3, 2, 2, 3, 0, 4, 2, 4, 0, 4, 4, 4, 4, 2, 4, 1, 2, 0, 3, 1, 2, 1, 0, 4, 0, 2, 2, 4, 4, 4, 1, 3, 4, 0, 1, 3, 3, 1, 3, 4, 0, 2, 4, 4, 3, 0, 1, 1, 3, 3, 2, 0, 3, 1, 3, 1, 0, 4, 3, 2, 3, 3, 2, 1, 3, 0, 3, 0, 3, 2, 4, 4, 0, 2, 2, 1, 1, 4, 4, 0, 4, 2, 0, 3, 0, 1, 3, 3, 4, 1, 3, 3, 0, 3, 2, 1, 0, 1, 1, 4, 2, 4, 4, 1, 2, 3, 0, 2, 3, 3, 0, 3, 2, 0, 3, 0, 2, 0, 1, 1, 1] pubkeycol1376 = [0, 4, 0, 0, 1, 1, 4, 0, 4, 4, 4, 4, 2, 3, 0, 2, 0, 3, 2, 0, 1, 1, 1, 2, 0, 4, 4, 3, 3, 4, 2, 0, 3, 1, 4, 0, 2, 1, 3, 1, 4, 2, 3, 1, 4, 4, 4, 2, 2, 1, 2, 0, 3, 3, 2, 0, 3, 2, 0, 4, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 3, 1, 4, 0, 0, 2, 4, 4, 3, 1, 0, 2, 2, 3, 4, 3, 1, 3, 3, 1, 1, 4, 0, 4, 3, 1, 2, 3, 4, 4, 0, 1, 1, 1, 1, 0, 3, 1, 1, 4, 3, 0, 2, 1, 3, 3, 1, 3, 3, 3, 4, 0, 2, 0, 2, 2, 3, 0, 3, 2, 2, 1, 0, 2, 1, 1, 3, 3, 1, 2, 0, 0, 3, 1, 4, 2, 0, 1, 0, 2, 2, 0, 4, 3, 1, 3, 3, 3, 3, 0, 4, 2, 2, 3, 1, 1, 2, 4, 3, 1, 1, 1, 4, 0, 4, 2, 2, 3, 3, 2, 0, 2, 4, 3, 3, 1, 0, 3, 1, 2, 3, 2, 4, 1, 0, 1, 2, 3, 4, 0, 3, 1, 3, 0, 0, 3, 4, 0, 1, 3, 3, 4, 3, 0, 0, 4, 0, 3, 3, 4, 3, 2, 3, 2, 1, 1, 0, 4, 3, 0, 2, 3, 3, 2, 2, 2, 4, 1, 4, 0, 1, 0, 0, 4, 1, 1, 2, 3, 1, 0, 2, 3, 2, 0, 1, 0, 1, 0, 4, 4, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 4, 1, 2, 3, 4, 2, 4, 0, 4, 0, 0, 2, 3, 1, 1, 3, 2, 2, 3, 1, 1, 2, 1, 4, 4, 1, 2, 1, 1, 0, 3, 2, 0, 4, 3, 1, 1, 0, 3, 1, 4, 2] pubkeycol1377 = [4, 0, 2, 0, 0, 2, 0, 1, 3, 3, 3, 4, 1, 1, 3, 0, 3, 1, 1, 0, 2, 0, 1, 4, 0, 4, 0, 1, 4, 1, 4, 4, 3, 3, 0, 2, 2, 1, 0, 0, 4, 1, 4, 2, 0, 4, 3, 2, 3, 2, 2, 2, 1, 3, 2, 1, 4, 4, 1, 2, 0, 1, 0, 2, 1, 4, 2, 4, 0, 3, 0, 2, 0, 1, 1, 4, 0, 3, 0, 1, 2, 4, 3, 3, 3, 4, 0, 3, 1, 3, 0, 2, 2, 4, 1, 3, 2, 3, 0, 1, 3, 2, 0, 2, 2, 2, 1, 0, 3, 2, 2, 4, 2, 2, 3, 4, 0, 1, 3, 2, 1, 3, 4, 2, 1, 3, 4, 0, 3, 1, 3, 1, 2, 4, 2, 1, 0, 4, 3, 4, 3, 2, 2, 3, 2, 0, 0, 3, 1, 2, 3, 3, 3, 4, 1, 3, 0, 4, 4, 3, 2, 1, 0, 0, 0, 4, 4, 4, 3, 1, 3, 4, 1, 2, 3, 0, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 0, 1, 4, 2, 0, 0, 4, 1, 2, 0, 4, 3, 2, 1, 0, 2, 2, 3, 0, 4, 1, 1, 0, 0, 3, 1, 1, 4, 2, 3, 3, 3, 4, 4, 4, 1, 4, 3, 0, 1, 4, 4, 1, 1, 0, 3, 4, 1, 2, 2, 0, 4, 0, 1, 3, 4, 1, 2, 0, 4, 4, 1, 3, 3, 3, 0, 2, 1, 4, 0, 1, 2, 0, 0, 4, 4, 4, 2, 0, 1, 4, 4, 0, 3, 1, 2, 2, 3, 1, 2, 4, 2, 3, 1, 4, 2, 2, 2, 1, 4, 4, 2, 4, 2, 4, 4, 2, 4, 1, 3, 2, 3, 3, 4, 1, 4, 3, 0, 3, 3, 4, 3, 0, 4, 0, 3, 0, 0, 1, 0, 3, 2, 3, 4] pubkeycol1378 = [0, 2, 2, 3, 1, 2, 1, 3, 1, 4, 0, 1, 1, 4, 2, 1, 2, 2, 2, 1, 4, 2, 3, 2, 2, 0, 0, 3, 1, 0, 4, 4, 3, 4, 1, 0, 2, 3, 0, 2, 4, 1, 3, 3, 0, 2, 2, 1, 1, 3, 1, 2, 3, 3, 2, 1, 4, 4, 1, 3, 4, 3, 2, 2, 4, 4, 4, 1, 4, 0, 4, 2, 3, 1, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 3, 2, 4, 1, 2, 3, 2, 0, 0, 2, 3, 2, 2, 1, 2, 0, 0, 4, 4, 1, 4, 1, 2, 0, 1, 0, 0, 1, 4, 2, 0, 2, 0, 1, 4, 0, 2, 4, 4, 4, 1, 1, 2, 4, 4, 1, 0, 1, 1, 4, 2, 0, 2, 0, 1, 0, 3, 2, 4, 2, 4, 1, 4, 4, 0, 0, 4, 0, 1, 3, 0, 1, 2, 1, 4, 0, 4, 2, 4, 0, 3, 4, 1, 1, 2, 4, 2, 2, 3, 0, 1, 0, 4, 4, 4, 0, 1, 1, 2, 2, 0, 4, 3, 4, 4, 4, 1, 3, 3, 3, 1, 2, 4, 2, 2, 3, 4, 4, 2, 0, 0, 4, 0, 1, 4, 4, 2, 0, 3, 0, 1, 3, 1, 3, 0, 1, 3, 3, 3, 0, 0, 2, 3, 1, 3, 2, 3, 3, 2, 0, 4, 1, 1, 4, 4, 2, 2, 0, 4, 4, 3, 4, 0, 2, 2, 4, 2, 1, 2, 0, 3, 2, 0, 4, 3, 1, 2, 4, 0, 4, 1, 3, 4, 2, 4, 1, 0, 4, 0, 3, 2, 2, 2, 4, 2, 3, 0, 0, 1, 0, 2, 4, 1, 2, 1, 4, 1, 1, 4, 0, 4, 0, 1, 1, 3, 3, 3, 4, 3, 2, 0, 3, 1, 1, 3, 4, 4, 2, 4, 0, 2, 4, 3, 1, 4, 4] pubkeycol1379 = [3, 2, 4, 1, 4, 1, 0, 0, 3, 4, 4, 0, 3, 4, 3, 2, 3, 0, 4, 2, 3, 2, 1, 4, 1, 0, 0, 3, 1, 4, 2, 1, 2, 0, 2, 3, 1, 4, 0, 0, 1, 4, 4, 2, 3, 3, 0, 0, 2, 4, 2, 2, 3, 2, 3, 4, 3, 4, 0, 4, 0, 3, 4, 1, 3, 3, 0, 0, 0, 4, 1, 0, 2, 2, 2, 1, 1, 4, 2, 2, 3, 4, 3, 1, 3, 0, 0, 2, 1, 3, 1, 1, 0, 4, 3, 4, 1, 4, 1, 1, 1, 4, 0, 2, 1, 1, 4, 2, 0, 4, 0, 4, 3, 1, 1, 2, 4, 4, 1, 4, 4, 3, 3, 0, 1, 3, 3, 4, 0, 3, 0, 3, 0, 3, 0, 2, 1, 3, 1, 4, 4, 2, 3, 4, 3, 4, 0, 2, 2, 1, 3, 2, 2, 2, 0, 2, 1, 2, 1, 4, 2, 1, 4, 2, 2, 3, 4, 2, 1, 2, 1, 4, 0, 3, 0, 2, 2, 0, 0, 2, 4, 1, 1, 3, 0, 4, 3, 0, 1, 0, 3, 1, 4, 0, 3, 3, 4, 2, 4, 4, 4, 1, 1, 3, 3, 4, 1, 2, 4, 2, 1, 2, 3, 1, 3, 4, 2, 1, 0, 0, 3, 4, 4, 0, 4, 0, 4, 2, 4, 3, 2, 2, 1, 2, 3, 4, 4, 3, 2, 3, 3, 3, 0, 3, 2, 2, 0, 2, 3, 1, 3, 0, 3, 2, 4, 2, 1, 1, 1, 2, 3, 2, 3, 2, 2, 1, 3, 4, 0, 2, 1, 1, 3, 0, 3, 2, 4, 4, 3, 3, 3, 2, 3, 1, 4, 0, 3, 1, 3, 4, 2, 2, 3, 4, 2, 1, 2, 2, 1, 2, 0, 2, 4, 4, 1, 2, 0, 4, 0, 3, 0, 2, 4, 3, 3, 0, 2, 0, 0, 4] pubkeycol1380 = [3, 2, 3, 1, 4, 3, 2, 3, 3, 0, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 0, 2, 3, 4, 2, 1, 2, 0, 3, 4, 1, 3, 1, 2, 3, 1, 2, 3, 4, 3, 0, 1, 3, 1, 4, 0, 3, 0, 0, 4, 2, 2, 1, 4, 1, 0, 1, 0, 4, 2, 1, 2, 4, 4, 0, 1, 3, 4, 3, 0, 4, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 4, 3, 1, 1, 3, 0, 2, 4, 4, 2, 2, 3, 4, 4, 0, 2, 4, 2, 3, 2, 1, 3, 1, 3, 0, 4, 4, 0, 4, 4, 1, 4, 1, 3, 2, 2, 4, 3, 4, 0, 1, 0, 1, 3, 1, 3, 4, 2, 3, 1, 0, 4, 3, 2, 2, 1, 2, 0, 3, 2, 0, 2, 1, 3, 0, 0, 2, 1, 3, 2, 0, 2, 2, 4, 0, 0, 0, 2, 4, 1, 2, 4, 3, 0, 4, 0, 1, 4, 0, 1, 3, 2, 1, 2, 1, 2, 1, 4, 3, 0, 3, 4, 2, 2, 1, 2, 1, 3, 4, 1, 4, 1, 1, 4, 0, 3, 4, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 4, 4, 4, 1, 2, 4, 0, 2, 0, 2, 1, 1, 4, 0, 4, 2, 4, 2, 0, 2, 1, 3, 3, 0, 3, 3, 4, 2, 2, 4, 1, 2, 0, 4, 4, 1, 0, 4, 3, 1, 0, 2, 2, 1, 4, 0, 1, 1, 3, 3, 4, 1, 2, 0, 1, 1, 2, 0, 3, 0, 2, 2, 4, 0, 2, 0, 0, 3, 2, 1, 4, 1, 0, 2, 4, 1, 3, 3, 0, 1, 1, 2, 4, 0, 1, 4, 2, 2, 2, 3, 0, 1, 3, 2, 2, 2, 2, 4, 3, 2, 0, 3, 0, 0, 3, 3] pubkeycol1381 = [2, 1, 4, 4, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 4, 0, 2, 3, 0, 3, 0, 0, 0, 1, 3, 2, 0, 1, 1, 3, 4, 0, 2, 3, 3, 3, 4, 0, 2, 4, 1, 3, 0, 3, 3, 3, 3, 4, 2, 0, 0, 1, 2, 2, 1, 0, 3, 2, 0, 1, 1, 0, 4, 4, 4, 3, 2, 1, 3, 1, 2, 0, 3, 0, 4, 3, 2, 3, 1, 0, 3, 4, 4, 1, 2, 0, 4, 3, 3, 2, 0, 2, 3, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 3, 4, 2, 0, 0, 3, 0, 4, 0, 0, 1, 0, 1, 4, 1, 3, 3, 2, 4, 4, 3, 2, 0, 4, 4, 0, 4, 1, 2, 2, 1, 3, 2, 4, 1, 3, 3, 1, 4, 1, 3, 4, 2, 3, 1, 2, 0, 4, 3, 2, 3, 2, 2, 0, 0, 0, 0, 2, 4, 3, 4, 0, 4, 3, 3, 2, 1, 3, 2, 1, 4, 4, 1, 0, 4, 0, 4, 3, 2, 3, 1, 4, 1, 3, 4, 3, 3, 0, 0, 4, 0, 2, 0, 1, 1, 2, 1, 4, 3, 4, 3, 3, 3, 3, 3, 0, 3, 3, 3, 4, 2, 2, 0, 1, 2, 3, 0, 1, 1, 2, 3, 3, 4, 1, 0, 4, 0, 1, 1, 4, 2, 2, 1, 4, 4, 0, 4, 2, 3, 4, 1, 4, 2, 0, 2, 2, 3, 0, 4, 1, 0, 4, 2, 4, 4, 2, 2, 4, 1, 0, 0, 2, 1, 3, 0, 0, 0, 2, 1, 0, 3, 1, 2, 1, 0, 4, 4, 1, 1, 0, 4, 4, 3, 0, 1, 3, 2, 1, 2, 0, 1, 2, 0, 0, 1, 4, 1, 2, 3, 4, 0, 4, 4, 3, 3, 2, 4, 2, 1, 4, 3, 1, 4, 1] pubkeycol1382 = [0, 1, 2, 0, 0, 3, 4, 2, 1, 0, 2, 0, 1, 3, 2, 0, 4, 4, 3, 1, 2, 0, 1, 1, 4, 3, 4, 3, 1, 1, 1, 3, 4, 2, 0, 0, 3, 1, 4, 0, 4, 4, 1, 3, 3, 2, 3, 2, 0, 3, 2, 1, 1, 1, 2, 0, 1, 4, 2, 4, 2, 0, 1, 0, 3, 2, 3, 3, 0, 4, 1, 1, 2, 2, 2, 0, 0, 4, 4, 0, 1, 0, 4, 2, 0, 1, 4, 2, 4, 0, 4, 4, 3, 1, 3, 0, 1, 0, 1, 4, 1, 2, 2, 0, 2, 4, 0, 4, 0, 0, 3, 1, 2, 0, 4, 3, 0, 3, 3, 2, 3, 0, 4, 0, 4, 0, 3, 1, 1, 2, 4, 3, 3, 3, 0, 2, 0, 4, 2, 1, 1, 4, 0, 1, 0, 1, 3, 4, 0, 1, 1, 3, 0, 1, 2, 0, 2, 2, 3, 3, 3, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, 0, 3, 4, 2, 3, 2, 4, 3, 1, 0, 4, 0, 4, 2, 4, 2, 2, 3, 2, 3, 3, 2, 1, 2, 1, 3, 4, 2, 1, 1, 3, 2, 2, 1, 4, 2, 1, 2, 4, 1, 2, 1, 0, 1, 4, 0, 0, 4, 2, 1, 0, 1, 1, 1, 2, 3, 1, 3, 4, 2, 3, 1, 4, 0, 3, 0, 3, 1, 3, 0, 4, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 4, 1, 4, 3, 3, 2, 0, 2, 2, 1, 2, 1, 1, 3, 0, 3, 0, 3, 3, 0, 1, 1, 1, 4, 2, 4, 2, 0, 3, 4, 2, 4, 4, 0, 3, 3, 4, 2, 4, 2, 0, 3, 4, 1, 4, 1, 3, 3, 1, 4, 2, 3, 0, 2, 0, 3, 0, 4, 1, 1, 4, 3, 4, 1, 0, 1, 3, 4] pubkeycol1383 = [3, 1, 4, 0, 2, 2, 4, 3, 2, 3, 2, 1, 0, 2, 1, 0, 2, 4, 3, 3, 4, 4, 1, 1, 4, 3, 1, 4, 4, 0, 3, 3, 2, 2, 3, 3, 0, 4, 1, 3, 1, 1, 0, 4, 0, 3, 1, 4, 2, 0, 2, 4, 1, 0, 3, 2, 3, 0, 4, 4, 1, 3, 3, 4, 4, 0, 3, 4, 2, 1, 0, 3, 1, 3, 3, 0, 0, 4, 0, 3, 2, 1, 4, 2, 3, 3, 2, 1, 2, 4, 3, 0, 2, 4, 0, 3, 4, 2, 0, 3, 3, 1, 4, 1, 4, 4, 2, 0, 2, 1, 4, 0, 4, 0, 1, 1, 2, 0, 3, 4, 2, 4, 3, 3, 1, 2, 0, 4, 1, 4, 4, 2, 4, 4, 0, 4, 1, 2, 2, 1, 2, 4, 1, 4, 1, 2, 2, 4, 0, 3, 1, 0, 3, 0, 2, 3, 2, 3, 0, 3, 1, 0, 3, 3, 3, 1, 4, 3, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 3, 2, 0, 3, 2, 2, 1, 0, 1, 2, 2, 1, 4, 2, 0, 0, 4, 1, 4, 1, 0, 4, 2, 3, 0, 1, 2, 0, 1, 1, 3, 3, 1, 3, 1, 0, 2, 3, 0, 2, 3, 4, 3, 3, 4, 0, 4, 1, 2, 0, 4, 4, 2, 1, 1, 0, 2, 0, 0, 4, 3, 4, 0, 4, 2, 2, 3, 3, 3, 4, 0, 4, 4, 1, 3, 2, 1, 3, 0, 0, 3, 0, 1, 0, 1, 0, 4, 0, 2, 1, 1, 3, 3, 3, 4, 4, 3, 4, 0, 1, 4, 3, 1, 4, 1, 3, 2, 3, 3, 2, 1, 4, 0, 2, 4, 0, 0, 4, 1, 3, 1, 2, 4, 3, 3, 0, 3, 1, 2, 0, 1, 1, 3, 4, 0, 2, 2, 3, 4, 4, 1] pubkeycol1384 = [0, 0, 4, 0, 2, 4, 2, 3, 1, 3, 0, 4, 0, 0, 3, 2, 0, 2, 0, 4, 2, 1, 2, 2, 0, 0, 3, 2, 4, 0, 4, 4, 3, 2, 3, 3, 3, 1, 2, 0, 0, 4, 3, 2, 0, 2, 1, 0, 4, 0, 0, 4, 1, 2, 2, 2, 0, 1, 1, 4, 3, 2, 0, 4, 1, 3, 2, 4, 0, 1, 4, 2, 4, 1, 1, 2, 0, 2, 0, 4, 4, 0, 3, 0, 0, 2, 4, 2, 3, 1, 3, 1, 0, 3, 1, 0, 3, 1, 2, 1, 0, 2, 2, 3, 1, 3, 3, 4, 1, 1, 0, 4, 2, 1, 2, 1, 2, 3, 2, 2, 0, 3, 1, 4, 1, 1, 3, 1, 1, 0, 3, 1, 0, 0, 2, 0, 3, 1, 4, 3, 1, 0, 0, 4, 2, 0, 3, 1, 2, 0, 0, 0, 4, 0, 4, 2, 3, 2, 3, 4, 0, 3, 1, 3, 4, 4, 4, 1, 0, 3, 4, 1, 2, 0, 3, 3, 3, 4, 3, 1, 2, 1, 2, 4, 3, 4, 4, 4, 3, 4, 3, 0, 0, 0, 1, 2, 2, 1, 1, 1, 4, 1, 4, 3, 0, 2, 3, 4, 3, 0, 4, 4, 1, 2, 3, 2, 4, 3, 4, 2, 4, 3, 1, 3, 3, 0, 2, 0, 0, 4, 0, 0, 0, 4, 1, 4, 2, 3, 1, 4, 4, 2, 1, 3, 1, 0, 3, 1, 4, 4, 0, 4, 3, 4, 1, 0, 3, 1, 0, 2, 4, 3, 0, 0, 1, 2, 0, 0, 4, 2, 0, 3, 2, 1, 4, 1, 0, 1, 0, 4, 0, 1, 0, 1, 1, 0, 0, 3, 4, 4, 2, 3, 3, 4, 4, 3, 1, 0, 2, 3, 3, 2, 0, 2, 2, 0, 3, 1, 4, 0, 2, 0, 2, 0, 3, 1, 2, 2, 3, 0] pubkeycol1385 = [3, 1, 1, 1, 4, 3, 2, 1, 0, 2, 4, 2, 3, 2, 0, 2, 2, 0, 3, 0, 4, 0, 0, 4, 1, 1, 0, 4, 2, 0, 3, 1, 2, 0, 2, 0, 2, 2, 3, 3, 4, 1, 4, 0, 3, 1, 1, 2, 3, 0, 4, 0, 0, 1, 4, 0, 0, 0, 4, 3, 0, 2, 4, 1, 4, 1, 2, 3, 1, 3, 4, 1, 2, 3, 0, 4, 1, 2, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 1, 4, 0, 2, 3, 2, 2, 1, 4, 0, 4, 2, 3, 2, 2, 1, 3, 1, 4, 4, 1, 4, 3, 4, 1, 1, 3, 1, 3, 2, 4, 3, 2, 4, 2, 2, 3, 2, 2, 4, 3, 3, 2, 3, 4, 4, 1, 1, 4, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 3, 3, 3, 1, 0, 0, 0, 3, 4, 3, 0, 2, 2, 0, 1, 2, 2, 3, 0, 4, 1, 4, 3, 2, 1, 4, 3, 1, 1, 0, 3, 0, 0, 0, 1, 4, 3, 4, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 1, 1, 4, 2, 3, 3, 1, 4, 4, 2, 4, 4, 4, 3, 4, 2, 0, 0, 2, 4, 4, 4, 2, 3, 4, 0, 1, 4, 3, 4, 1, 0, 4, 2, 3, 0, 2, 4, 0, 1, 1, 2, 2, 2, 1, 0, 2, 3, 4, 0, 3, 0, 4, 0, 3, 3, 1, 4, 4, 4, 4, 4, 3, 2, 2, 0, 1, 1, 0, 2, 0, 3, 4, 4, 3, 1, 1, 0, 1, 3, 0, 3, 0, 4, 4, 4, 3, 3, 2, 3, 0, 3, 3, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 3, 2, 3, 4, 4, 1, 4, 4, 3, 4, 3, 3, 0, 3, 2, 4, 1] pubkeycol1386 = [0, 0, 4, 0, 0, 4, 4, 3, 0, 0, 4, 4, 4, 3, 4, 1, 1, 3, 2, 3, 3, 2, 4, 4, 4, 1, 2, 4, 4, 4, 2, 0, 4, 3, 4, 4, 3, 0, 4, 2, 1, 2, 1, 2, 2, 4, 0, 2, 1, 2, 3, 1, 4, 0, 4, 3, 4, 4, 3, 0, 3, 0, 1, 1, 3, 2, 2, 3, 2, 2, 0, 3, 2, 4, 4, 1, 2, 2, 2, 1, 1, 1, 1, 3, 2, 0, 0, 4, 0, 2, 0, 0, 1, 2, 2, 0, 3, 4, 4, 4, 4, 1, 3, 3, 1, 0, 3, 3, 0, 3, 3, 0, 2, 4, 4, 0, 1, 0, 0, 2, 0, 4, 3, 1, 2, 0, 1, 1, 2, 1, 1, 3, 4, 0, 2, 2, 1, 1, 2, 0, 1, 3, 0, 4, 4, 2, 1, 0, 2, 4, 4, 2, 4, 1, 4, 1, 2, 3, 4, 0, 0, 1, 3, 0, 0, 0, 4, 3, 0, 4, 3, 1, 3, 4, 2, 4, 1, 0, 3, 4, 1, 3, 3, 3, 1, 0, 4, 0, 4, 4, 1, 2, 0, 2, 1, 0, 0, 3, 0, 4, 2, 2, 4, 1, 0, 4, 1, 3, 2, 3, 3, 1, 0, 4, 3, 1, 4, 2, 4, 0, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 4, 1, 4, 0, 1, 3, 3, 4, 3, 3, 4, 2, 2, 4, 4, 3, 0, 4, 2, 1, 1, 4, 3, 3, 2, 4, 1, 2, 4, 0, 4, 3, 4, 3, 4, 2, 1, 2, 2, 4, 1, 4, 0, 4, 2, 1, 2, 4, 0, 3, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 3, 0, 3, 2, 2, 0, 0, 1, 4, 3, 2, 1, 1, 1, 4, 3, 0, 4, 3, 0] pubkeycol1387 = [0, 0, 3, 4, 3, 4, 0, 3, 3, 1, 4, 3, 4, 3, 1, 3, 3, 3, 0, 4, 3, 1, 0, 2, 0, 1, 1, 2, 3, 2, 2, 1, 4, 4, 3, 1, 0, 3, 0, 3, 3, 0, 3, 1, 2, 4, 1, 4, 3, 1, 4, 3, 4, 3, 2, 0, 4, 2, 1, 2, 2, 0, 3, 4, 0, 0, 4, 1, 1, 1, 3, 2, 1, 0, 4, 1, 1, 2, 1, 4, 3, 2, 4, 2, 3, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 3, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 3, 2, 2, 4, 0, 4, 1, 1, 3, 1, 3, 3, 1, 0, 2, 1, 3, 2, 1, 2, 3, 4, 1, 4, 2, 1, 3, 2, 3, 3, 1, 2, 4, 4, 4, 1, 4, 0, 3, 4, 1, 3, 1, 2, 4, 3, 0, 2, 0, 4, 2, 2, 0, 3, 4, 2, 0, 4, 1, 0, 4, 2, 0, 2, 4, 0, 0, 3, 4, 4, 0, 4, 3, 4, 1, 1, 3, 4, 0, 2, 1, 4, 1, 4, 2, 2, 2, 0, 2, 1, 2, 1, 1, 3, 2, 3, 3, 2, 0, 4, 4, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, 0, 4, 1, 1, 0, 0, 4, 1, 2, 2, 3, 3, 4, 4, 4, 0, 3, 4, 0, 4, 0, 4, 2, 1, 2, 0, 2, 2, 3, 1, 3, 1, 0, 4, 0, 3, 3, 3, 4, 0, 0, 2, 2, 2, 0, 2, 1, 3, 4, 2, 3, 2, 1, 1, 2, 3, 0, 1, 3, 4, 1, 2, 0, 4, 0, 2, 3, 2, 2, 2, 3, 4, 3, 3, 2, 1, 3, 0, 0, 0, 3, 2, 4, 0, 1, 1, 2, 1, 4, 2, 2, 2, 3, 1, 4, 3, 4, 2, 4, 3, 1] pubkeycol1388 = [4, 0, 3, 3, 4, 0, 3, 4, 2, 2, 4, 0, 4, 0, 0, 4, 4, 2, 1, 0, 3, 2, 1, 0, 2, 1, 1, 3, 4, 3, 4, 3, 1, 3, 3, 0, 4, 0, 1, 4, 2, 1, 1, 1, 0, 0, 1, 4, 4, 2, 0, 0, 0, 4, 0, 2, 0, 2, 3, 1, 0, 2, 2, 2, 1, 4, 4, 0, 3, 3, 0, 1, 1, 2, 4, 1, 1, 2, 0, 3, 3, 3, 1, 2, 4, 2, 3, 2, 4, 2, 0, 2, 4, 3, 1, 1, 1, 4, 3, 1, 3, 0, 0, 0, 1, 3, 1, 3, 4, 1, 3, 1, 1, 3, 3, 4, 2, 3, 2, 0, 3, 3, 0, 2, 0, 3, 4, 3, 1, 0, 0, 3, 1, 1, 0, 1, 0, 0, 2, 1, 3, 1, 3, 0, 2, 1, 3, 4, 1, 1, 2, 1, 4, 1, 0, 4, 3, 2, 1, 0, 2, 0, 1, 1, 0, 3, 2, 4, 2, 2, 2, 4, 1, 0, 0, 2, 0, 3, 0, 4, 3, 4, 1, 2, 2, 3, 1, 1, 3, 1, 3, 1, 1, 4, 1, 4, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 4, 4, 0, 4, 2, 2, 3, 1, 4, 1, 3, 1, 0, 4, 2, 1, 4, 4, 1, 1, 3, 4, 0, 1, 4, 1, 2, 2, 3, 0, 4, 1, 2, 0, 2, 1, 4, 0, 1, 3, 1, 2, 0, 2, 4, 1, 4, 0, 2, 0, 2, 3, 1, 2, 0, 3, 1, 0, 0, 3, 1, 2, 3, 1, 1, 4, 4, 0, 4, 3, 2, 1, 0, 3, 3, 0, 4, 0, 4, 2, 1, 2, 3, 4, 0, 0, 3, 3, 0, 2, 0, 0, 3, 2, 1, 3, 4, 4, 2, 4, 1, 4, 1, 2, 2, 3, 2, 0, 1, 3] pubkeycol1389 = [3, 0, 0, 4, 2, 0, 3, 3, 0, 2, 1, 4, 3, 1, 3, 1, 0, 1, 0, 2, 2, 3, 0, 2, 1, 3, 4, 1, 3, 0, 3, 2, 0, 0, 3, 2, 1, 0, 3, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 4, 0, 1, 1, 4, 3, 0, 4, 1, 4, 1, 0, 3, 4, 1, 1, 2, 3, 0, 4, 3, 1, 0, 0, 2, 0, 0, 2, 4, 2, 3, 4, 1, 3, 2, 2, 0, 2, 2, 1, 3, 2, 1, 4, 1, 3, 4, 3, 0, 1, 2, 3, 2, 2, 0, 1, 3, 3, 3, 1, 4, 1, 0, 3, 0, 3, 4, 4, 3, 4, 4, 2, 4, 4, 4, 4, 4, 4, 1, 4, 2, 4, 1, 3, 1, 4, 2, 0, 1, 0, 0, 3, 2, 1, 0, 1, 1, 3, 0, 4, 0, 1, 1, 1, 0, 3, 3, 0, 3, 0, 3, 2, 4, 0, 3, 0, 3, 1, 0, 1, 3, 2, 3, 1, 0, 2, 2, 3, 0, 1, 0, 3, 3, 1, 0, 2, 3, 1, 3, 0, 4, 2, 0, 2, 4, 3, 2, 0, 0, 4, 4, 3, 2, 0, 1, 0, 0, 2, 4, 4, 1, 1, 1, 4, 4, 3, 2, 3, 1, 0, 3, 4, 1, 4, 4, 4, 2, 1, 0, 0, 4, 3, 1, 0, 0, 0, 3, 0, 2, 3, 0, 2, 0, 1, 4, 0, 0, 3, 3, 3, 3, 2, 0, 2, 0, 0, 3, 3, 1, 2, 0, 4, 0, 3, 1, 3, 4, 0, 1, 1, 4, 1, 4, 2, 2, 4, 1, 3, 0, 4, 1, 2, 4, 1, 4, 1, 2, 0, 4, 4, 3, 0, 0, 3, 3, 4, 3, 0, 3, 1, 0, 4, 3, 3, 3, 1, 3, 2, 0, 3, 2, 2, 1, 4, 3, 3, 4, 1, 0] pubkeycol1390 = [0, 2, 1, 3, 1, 1, 2, 2, 4, 1, 1, 3, 1, 4, 2, 2, 2, 2, 1, 2, 0, 3, 2, 4, 0, 1, 0, 3, 0, 1, 0, 4, 4, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 4, 3, 0, 3, 0, 3, 2, 0, 0, 2, 2, 2, 2, 3, 2, 3, 4, 3, 1, 2, 2, 1, 2, 1, 1, 0, 3, 1, 3, 2, 0, 1, 4, 0, 2, 3, 0, 0, 0, 2, 4, 2, 3, 1, 3, 2, 4, 4, 3, 4, 1, 1, 4, 3, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 3, 2, 2, 0, 0, 2, 0, 3, 2, 0, 3, 2, 3, 1, 0, 3, 1, 4, 2, 1, 2, 2, 2, 0, 3, 0, 4, 2, 4, 2, 1, 2, 1, 3, 0, 4, 0, 0, 4, 0, 0, 2, 3, 2, 4, 0, 0, 2, 3, 1, 0, 0, 4, 0, 4, 3, 2, 2, 1, 2, 0, 2, 1, 4, 2, 3, 0, 0, 3, 0, 1, 2, 2, 3, 1, 0, 1, 2, 3, 3, 0, 0, 4, 4, 4, 2, 3, 4, 3, 2, 2, 4, 4, 2, 2, 0, 1, 4, 4, 2, 1, 2, 0, 1, 2, 0, 4, 3, 0, 0, 1, 4, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 4, 2, 0, 0, 4, 0, 3, 3, 0, 4, 3, 0, 4, 0, 2, 0, 1, 2, 1, 3, 0, 4, 0, 4, 2, 3, 1, 4, 2, 3, 1, 3, 4, 3, 3, 4, 4, 4, 1, 3, 4, 0, 4, 2, 1, 4, 4, 3, 0, 4, 0, 3, 4, 4, 0, 0, 1, 0, 1, 3, 0, 0, 0, 3, 4, 1, 2, 2, 2, 1, 4, 3, 1, 4, 1, 0, 4, 1, 3, 1, 2, 2, 1, 4, 0, 4, 1, 1, 0, 1, 3] pubkeycol1391 = [4, 0, 1, 1, 1, 0, 0, 4, 4, 2, 4, 2, 4, 0, 4, 0, 1, 1, 0, 2, 4, 0, 2, 2, 1, 3, 0, 1, 3, 2, 0, 3, 2, 1, 1, 0, 2, 2, 1, 3, 0, 0, 3, 3, 0, 3, 0, 2, 3, 1, 4, 3, 1, 2, 3, 0, 1, 2, 0, 2, 4, 3, 0, 1, 0, 0, 0, 1, 3, 0, 2, 4, 2, 1, 0, 4, 3, 0, 1, 2, 2, 0, 2, 3, 1, 0, 2, 3, 1, 4, 4, 1, 2, 3, 1, 1, 4, 4, 4, 2, 3, 0, 4, 2, 4, 3, 4, 2, 2, 3, 0, 4, 0, 4, 3, 1, 2, 3, 2, 3, 1, 3, 0, 0, 4, 1, 0, 2, 3, 4, 1, 0, 2, 3, 0, 4, 2, 2, 1, 1, 0, 4, 3, 3, 4, 2, 0, 2, 2, 2, 4, 1, 3, 4, 1, 1, 3, 3, 0, 3, 0, 2, 4, 4, 1, 0, 4, 1, 1, 0, 4, 4, 4, 4, 4, 1, 0, 2, 1, 3, 0, 2, 1, 2, 4, 3, 0, 3, 4, 1, 1, 1, 3, 1, 4, 0, 3, 0, 0, 0, 4, 2, 3, 2, 0, 4, 3, 0, 0, 1, 0, 3, 4, 1, 4, 1, 2, 2, 3, 0, 3, 3, 2, 0, 4, 3, 3, 4, 4, 1, 4, 3, 0, 3, 4, 2, 1, 0, 4, 0, 4, 1, 4, 0, 2, 2, 3, 2, 1, 1, 4, 1, 0, 2, 2, 4, 2, 4, 4, 2, 0, 1, 3, 4, 3, 0, 2, 4, 1, 2, 2, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 3, 3, 2, 1, 1, 1, 2, 1, 3, 1, 2, 3, 3, 0, 3, 1, 4, 0, 2, 1, 1, 4, 1, 0, 2, 3, 0, 1, 4, 1, 0, 0, 4, 3, 2, 3, 4, 4] pubkeycol1392 = [4, 3, 3, 0, 0, 2, 4, 1, 0, 4, 4, 1, 1, 3, 2, 0, 4, 1, 1, 3, 3, 4, 1, 1, 0, 3, 1, 3, 1, 0, 1, 2, 1, 2, 2, 0, 0, 3, 1, 1, 2, 2, 4, 2, 0, 1, 4, 3, 4, 2, 0, 1, 0, 4, 0, 4, 1, 3, 1, 0, 0, 2, 1, 1, 4, 1, 2, 0, 0, 2, 2, 4, 0, 0, 4, 2, 0, 4, 3, 1, 4, 0, 2, 0, 3, 4, 1, 0, 3, 3, 1, 4, 0, 3, 4, 4, 2, 0, 2, 3, 0, 1, 1, 0, 3, 3, 2, 3, 0, 4, 2, 3, 3, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 3, 3, 1, 4, 4, 4, 2, 1, 3, 4, 2, 4, 4, 4, 3, 3, 1, 1, 4, 0, 1, 1, 3, 4, 1, 3, 0, 4, 4, 3, 3, 1, 2, 1, 0, 0, 1, 3, 0, 1, 0, 3, 1, 4, 2, 4, 2, 3, 4, 1, 2, 0, 3, 2, 2, 0, 3, 1, 4, 1, 4, 3, 1, 0, 0, 2, 3, 0, 0, 0, 3, 1, 1, 1, 0, 0, 4, 4, 0, 0, 4, 2, 2, 3, 4, 1, 2, 0, 2, 4, 0, 3, 2, 0, 2, 1, 4, 3, 0, 4, 0, 1, 0, 0, 1, 1, 4, 0, 0, 4, 0, 3, 3, 3, 1, 4, 4, 1, 2, 4, 2, 0, 4, 4, 0, 4, 4, 2, 2, 2, 4, 0, 4, 2, 0, 3, 4, 2, 4, 1, 2, 3, 0, 1, 1, 3, 2, 4, 4, 2, 4, 4, 4, 1, 0, 3, 4, 0, 0, 3, 0, 1, 4, 2, 0, 1, 3, 1, 2, 4, 3, 4, 1, 3, 0, 3, 2, 3, 2, 4, 4, 4, 0, 4, 3, 4, 4, 3, 1, 0, 2, 0, 0, 3] pubkeycol1393 = [1, 0, 2, 2, 2, 0, 1, 4, 1, 0, 3, 2, 0, 0, 2, 1, 3, 4, 3, 2, 1, 0, 2, 0, 1, 3, 1, 3, 4, 2, 3, 0, 3, 1, 0, 4, 1, 3, 1, 2, 3, 4, 0, 4, 4, 1, 0, 4, 3, 3, 1, 1, 3, 2, 0, 1, 2, 3, 0, 4, 1, 0, 4, 2, 3, 0, 3, 4, 2, 0, 3, 4, 3, 1, 1, 1, 3, 4, 1, 4, 0, 1, 3, 4, 4, 1, 3, 0, 1, 1, 1, 0, 0, 0, 3, 4, 0, 3, 1, 4, 4, 4, 1, 3, 4, 0, 0, 2, 2, 4, 1, 1, 0, 1, 4, 1, 1, 1, 2, 1, 2, 2, 0, 4, 2, 0, 4, 4, 1, 0, 1, 2, 0, 4, 4, 0, 0, 2, 2, 2, 0, 1, 1, 4, 0, 3, 1, 3, 4, 2, 3, 3, 1, 0, 1, 2, 1, 4, 3, 0, 3, 3, 1, 2, 1, 4, 0, 3, 1, 0, 1, 0, 0, 2, 0, 3, 4, 4, 2, 4, 2, 3, 0, 2, 1, 0, 2, 3, 0, 3, 0, 2, 1, 4, 3, 2, 2, 2, 0, 4, 1, 1, 4, 3, 2, 1, 4, 4, 3, 0, 0, 0, 0, 2, 1, 4, 3, 2, 2, 4, 4, 2, 4, 2, 0, 3, 3, 2, 2, 1, 3, 0, 3, 1, 2, 0, 4, 2, 4, 1, 1, 4, 3, 4, 1, 2, 0, 3, 0, 1, 3, 0, 2, 0, 1, 4, 3, 3, 4, 2, 3, 2, 3, 4, 3, 1, 4, 4, 4, 2, 0, 3, 0, 1, 3, 0, 4, 1, 3, 4, 2, 0, 1, 3, 2, 1, 3, 2, 1, 0, 0, 4, 2, 1, 0, 3, 1, 2, 2, 2, 3, 4, 4, 1, 1, 1, 4, 0, 3, 4, 2, 0, 1, 2, 0, 2, 4, 1, 0, 2] pubkeycol1394 = [2, 3, 0, 2, 4, 4, 3, 3, 2, 1, 3, 0, 1, 3, 3, 3, 4, 0, 0, 2, 3, 1, 1, 1, 2, 4, 0, 4, 2, 2, 3, 0, 4, 1, 4, 3, 4, 4, 2, 3, 2, 3, 1, 2, 0, 2, 1, 0, 3, 0, 0, 1, 3, 4, 2, 0, 2, 4, 1, 2, 2, 3, 0, 3, 1, 2, 2, 3, 1, 4, 1, 0, 4, 1, 0, 2, 4, 1, 3, 2, 3, 1, 3, 4, 2, 1, 4, 2, 4, 3, 2, 4, 4, 0, 4, 3, 4, 1, 3, 1, 0, 4, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 4, 1, 0, 4, 2, 3, 2, 2, 0, 2, 0, 2, 0, 1, 3, 3, 4, 2, 2, 2, 0, 1, 1, 3, 0, 2, 0, 0, 4, 2, 2, 2, 4, 0, 0, 4, 0, 4, 1, 1, 0, 2, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 1, 1, 2, 4, 4, 1, 2, 1, 3, 1, 1, 0, 2, 4, 3, 0, 4, 3, 0, 4, 4, 2, 1, 0, 4, 2, 4, 0, 4, 1, 3, 4, 2, 0, 2, 3, 4, 3, 0, 1, 1, 2, 3, 4, 3, 1, 2, 1, 4, 2, 3, 1, 1, 2, 4, 2, 4, 1, 3, 2, 4, 2, 1, 1, 3, 1, 0, 4, 0, 1, 0, 3, 2, 0, 0, 0, 0, 2, 1, 4, 4, 3, 3, 2, 1, 1, 2, 0, 0, 4, 2, 4, 0, 0, 0, 0, 3, 2, 0, 0, 1, 3, 2, 3, 2, 1, 4, 4, 1, 0, 4, 4, 3, 4, 1, 1, 2, 0, 1, 1, 1, 4, 3, 2, 3, 0, 2, 3, 0, 1, 2, 0, 4, 3, 0, 4, 3, 1, 4, 3, 4, 0, 0, 4, 0, 2, 2, 3, 0, 1, 1, 4] pubkeycol1395 = [4, 1, 2, 1, 3, 2, 4, 0, 1, 4, 4, 0, 4, 3, 2, 0, 3, 4, 0, 4, 3, 4, 4, 2, 1, 4, 4, 1, 1, 4, 4, 3, 3, 0, 0, 1, 1, 0, 0, 4, 3, 3, 4, 1, 2, 1, 3, 0, 0, 0, 2, 2, 4, 0, 3, 4, 3, 3, 3, 3, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 3, 0, 2, 3, 3, 0, 3, 1, 3, 0, 0, 2, 0, 2, 3, 4, 1, 3, 3, 2, 3, 4, 1, 0, 4, 3, 1, 0, 0, 3, 2, 0, 4, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 4, 3, 2, 3, 2, 2, 3, 3, 3, 0, 4, 4, 1, 0, 1, 0, 0, 1, 4, 1, 1, 4, 2, 4, 0, 1, 3, 4, 3, 4, 0, 2, 4, 1, 3, 4, 0, 0, 4, 3, 3, 0, 4, 4, 0, 3, 0, 4, 4, 0, 0, 2, 3, 0, 1, 4, 0, 3, 2, 0, 3, 3, 4, 4, 0, 2, 0, 4, 2, 0, 3, 4, 2, 2, 3, 4, 2, 0, 1, 2, 1, 4, 1, 2, 1, 0, 3, 4, 2, 0, 1, 2, 1, 2, 3, 0, 4, 4, 4, 1, 4, 0, 2, 0, 3, 0, 4, 2, 4, 3, 0, 0, 4, 2, 3, 3, 2, 2, 0, 2, 0, 0, 1, 4, 3, 3, 4, 0, 3, 0, 2, 3, 3, 0, 2, 3, 2, 4, 4, 4, 0, 3, 0, 1, 3, 0, 1, 0, 4, 2, 0, 1, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 3, 3, 4, 1, 0, 0, 1, 4, 1, 1, 0, 0, 1, 0, 1, 2, 4, 3, 2, 2, 4, 2, 1, 4, 1, 1, 2, 2, 2, 0, 1, 0] pubkeycol1396 = [1, 4, 4, 3, 0, 1, 3, 3, 4, 2, 0, 2, 1, 1, 3, 2, 0, 4, 2, 3, 0, 1, 1, 0, 1, 3, 1, 4, 1, 4, 4, 4, 2, 1, 4, 3, 0, 3, 3, 0, 2, 4, 2, 3, 0, 1, 1, 4, 0, 1, 2, 4, 3, 3, 2, 1, 0, 0, 4, 1, 3, 3, 4, 0, 3, 2, 1, 2, 4, 3, 0, 1, 3, 3, 1, 4, 4, 0, 4, 4, 2, 3, 0, 1, 1, 0, 4, 3, 2, 1, 0, 0, 2, 4, 4, 0, 3, 2, 2, 4, 3, 1, 2, 4, 4, 0, 0, 1, 1, 4, 4, 3, 0, 3, 4, 1, 1, 0, 1, 3, 2, 1, 1, 2, 2, 4, 1, 1, 1, 1, 0, 3, 3, 2, 0, 4, 0, 3, 3, 1, 1, 4, 3, 0, 2, 1, 2, 3, 3, 1, 3, 3, 1, 1, 2, 2, 1, 3, 1, 2, 0, 0, 2, 1, 0, 1, 1, 3, 3, 3, 3, 0, 3, 4, 4, 0, 1, 4, 1, 1, 3, 0, 4, 3, 3, 4, 4, 1, 2, 4, 1, 4, 2, 4, 2, 4, 2, 3, 3, 2, 1, 2, 0, 3, 2, 0, 3, 2, 3, 0, 1, 1, 4, 3, 1, 4, 4, 4, 2, 4, 3, 0, 3, 2, 3, 0, 1, 0, 0, 0, 3, 0, 4, 2, 2, 0, 4, 1, 4, 2, 4, 3, 1, 3, 0, 2, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 0, 4, 1, 3, 1, 1, 4, 3, 2, 1, 0, 2, 0, 2, 2, 3, 3, 4, 1, 4, 4, 4, 1, 3, 1, 0, 1, 4, 3, 1, 2, 2, 0, 2, 2, 4, 0, 3, 2, 4, 1, 1, 2, 0, 1, 2, 1, 2, 3, 0, 0, 2, 1, 4, 2, 2, 4, 0, 4, 4, 0, 4, 3, 0] pubkeycol1397 = [4, 2, 2, 0, 3, 3, 2, 4, 1, 0, 3, 0, 0, 0, 3, 1, 1, 0, 1, 4, 2, 1, 4, 4, 3, 0, 1, 4, 0, 1, 2, 2, 2, 2, 2, 3, 1, 0, 1, 1, 4, 0, 0, 3, 3, 1, 0, 2, 1, 3, 3, 0, 2, 1, 1, 4, 1, 1, 0, 3, 2, 3, 0, 3, 0, 1, 3, 2, 0, 2, 3, 4, 4, 0, 2, 1, 4, 2, 3, 0, 4, 0, 2, 2, 1, 2, 4, 2, 1, 4, 2, 0, 3, 4, 2, 0, 4, 1, 0, 0, 0, 3, 0, 2, 2, 0, 1, 4, 3, 3, 1, 4, 3, 4, 3, 1, 2, 0, 3, 4, 0, 1, 3, 2, 2, 2, 3, 3, 3, 3, 2, 1, 0, 4, 1, 1, 0, 4, 4, 0, 4, 2, 4, 2, 1, 0, 4, 0, 1, 0, 2, 4, 2, 2, 0, 0, 4, 3, 1, 4, 1, 4, 3, 1, 4, 3, 4, 2, 3, 1, 0, 4, 1, 3, 2, 3, 4, 1, 0, 4, 2, 4, 2, 4, 1, 0, 1, 2, 0, 0, 0, 3, 0, 4, 0, 0, 4, 1, 1, 3, 0, 3, 4, 2, 0, 3, 1, 3, 0, 2, 1, 3, 3, 4, 0, 1, 4, 1, 0, 4, 2, 4, 4, 0, 2, 4, 0, 3, 0, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 4, 0, 2, 4, 3, 1, 2, 1, 1, 0, 4, 2, 3, 1, 3, 1, 2, 1, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 1, 0, 2, 1, 0, 3, 1, 2, 4, 1, 0, 4, 0, 0, 3, 2, 3, 3, 0, 0, 1, 3, 3, 2, 1, 3, 4, 3, 2, 2, 3, 3, 0, 2, 0, 0, 3, 1, 1, 3, 1, 0, 4, 3, 3, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol1398 = [1, 4, 1, 2, 0, 2, 4, 1, 2, 4, 4, 1, 3, 4, 3, 0, 4, 0, 1, 1, 2, 2, 1, 4, 2, 2, 3, 3, 0, 4, 4, 0, 4, 4, 1, 3, 0, 3, 4, 0, 1, 2, 3, 2, 1, 2, 0, 0, 2, 1, 0, 3, 4, 2, 3, 4, 4, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 4, 0, 3, 0, 2, 1, 3, 0, 3, 0, 1, 2, 0, 4, 0, 0, 3, 1, 1, 1, 0, 4, 1, 4, 1, 1, 2, 4, 3, 0, 0, 2, 4, 3, 2, 1, 0, 4, 3, 2, 4, 3, 1, 1, 2, 2, 3, 4, 2, 4, 0, 3, 3, 1, 4, 0, 0, 4, 4, 4, 2, 1, 0, 4, 3, 1, 0, 2, 1, 1, 3, 1, 1, 3, 0, 4, 2, 4, 3, 2, 2, 4, 4, 4, 4, 1, 2, 4, 2, 2, 2, 1, 3, 0, 2, 4, 4, 1, 3, 0, 3, 0, 1, 2, 3, 2, 2, 4, 3, 0, 2, 0, 3, 3, 3, 1, 0, 2, 4, 3, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 0, 2, 4, 4, 3, 4, 4, 4, 1, 2, 0, 0, 3, 4, 0, 4, 3, 2, 1, 0, 4, 3, 0, 1, 1, 3, 4, 0, 1, 1, 1, 3, 4, 4, 1, 2, 1, 2, 3, 4, 1, 2, 2, 0, 2, 2, 4, 4, 2, 3, 0, 3, 0, 1, 4, 4, 1, 3, 0, 0, 0, 1, 0, 0, 3, 2, 3, 4, 2, 2, 4, 0, 2, 4, 3, 0, 0, 3, 4, 0, 1, 2, 0, 2, 3, 0, 1, 0, 3, 4, 1, 2, 1, 3, 2, 1, 4, 1, 0, 3, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 3, 1, 2, 2, 2, 3] pubkeycol1399 = [0, 0, 1, 0, 4, 1, 0, 0, 2, 4, 0, 3, 3, 4, 1, 0, 0, 1, 1, 3, 0, 2, 2, 2, 4, 1, 0, 2, 2, 3, 4, 4, 0, 3, 3, 2, 0, 0, 1, 2, 2, 2, 0, 4, 2, 1, 4, 2, 4, 1, 1, 4, 4, 2, 3, 3, 1, 3, 0, 1, 1, 2, 0, 3, 4, 1, 4, 0, 4, 3, 2, 4, 3, 3, 4, 0, 2, 4, 0, 0, 1, 1, 2, 4, 3, 2, 4, 1, 0, 3, 3, 3, 3, 3, 1, 2, 4, 4, 4, 0, 0, 2, 0, 4, 2, 3, 1, 1, 4, 0, 3, 0, 3, 4, 0, 4, 4, 3, 4, 3, 4, 1, 2, 3, 4, 3, 0, 3, 2, 4, 1, 0, 1, 1, 0, 3, 2, 0, 3, 1, 0, 2, 4, 3, 4, 0, 1, 0, 1, 0, 2, 3, 1, 1, 1, 2, 2, 2, 4, 2, 2, 2, 4, 4, 3, 2, 4, 3, 0, 4, 2, 0, 0, 4, 0, 0, 3, 2, 2, 3, 3, 3, 3, 1, 2, 2, 4, 4, 4, 4, 3, 4, 1, 2, 1, 1, 4, 4, 3, 0, 3, 1, 1, 4, 3, 1, 3, 4, 1, 4, 1, 0, 2, 2, 2, 3, 0, 1, 3, 3, 1, 4, 2, 1, 1, 0, 3, 0, 1, 3, 4, 2, 3, 4, 3, 0, 0, 2, 0, 1, 0, 1, 0, 3, 3, 4, 4, 2, 1, 2, 0, 1, 2, 3, 2, 2, 3, 1, 2, 1, 2, 0, 4, 1, 1, 3, 2, 0, 1, 3, 2, 0, 1, 0, 3, 3, 3, 0, 0, 4, 3, 1, 0, 2, 0, 3, 3, 3, 3, 0, 3, 3, 1, 1, 2, 1, 0, 2, 2, 4, 0, 2, 3, 1, 2, 2, 3, 3, 0, 2, 0, 2, 3, 4, 4, 0, 3, 2, 3, 3] pubkeycol1400 = [1, 3, 0, 0, 0, 4, 2, 2, 4, 2, 3, 4, 3, 3, 4, 1, 0, 4, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 4, 3, 4, 2, 3, 1, 2, 1, 1, 4, 3, 4, 2, 0, 3, 3, 2, 4, 1, 3, 4, 4, 1, 3, 2, 2, 1, 1, 2, 3, 1, 2, 1, 3, 4, 0, 0, 4, 2, 4, 3, 3, 1, 1, 2, 2, 4, 2, 4, 2, 1, 3, 4, 0, 4, 0, 2, 4, 0, 4, 4, 0, 0, 4, 1, 4, 0, 2, 4, 4, 0, 2, 0, 3, 2, 3, 2, 3, 3, 3, 2, 1, 4, 0, 4, 0, 1, 0, 1, 2, 0, 4, 0, 3, 2, 2, 3, 4, 3, 3, 2, 2, 4, 1, 0, 4, 1, 1, 0, 3, 0, 1, 0, 1, 0, 3, 3, 3, 4, 0, 2, 0, 1, 3, 0, 3, 1, 1, 3, 0, 3, 1, 3, 3, 0, 4, 1, 0, 0, 4, 4, 4, 4, 4, 1, 3, 4, 1, 3, 0, 4, 2, 3, 1, 2, 3, 0, 3, 0, 4, 4, 2, 1, 1, 3, 4, 0, 4, 1, 4, 3, 2, 2, 1, 1, 4, 0, 3, 2, 3, 3, 0, 4, 4, 2, 3, 4, 1, 4, 1, 2, 1, 3, 2, 2, 2, 1, 3, 4, 4, 1, 3, 0, 1, 0, 3, 0, 4, 1, 1, 3, 3, 1, 4, 1, 2, 4, 3, 1, 0, 1, 0, 0, 1, 3, 1, 2, 3, 1, 0, 4, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 3, 0, 3, 1, 1, 4, 1, 3, 4, 1, 3, 2, 4, 4, 2, 1, 3, 0, 3, 1, 4, 2, 2, 1, 4, 1, 0, 3, 0, 0, 3, 0, 1, 2, 2, 4, 1, 3, 2, 3, 3, 1, 1, 4, 3] pubkeycol1401 = [3, 1, 4, 0, 0, 0, 2, 1, 2, 3, 1, 2, 0, 2, 2, 1, 4, 2, 3, 4, 2, 2, 2, 0, 2, 0, 0, 3, 1, 1, 0, 2, 1, 1, 2, 4, 4, 1, 2, 4, 3, 0, 3, 4, 1, 4, 4, 0, 4, 2, 3, 2, 4, 3, 2, 3, 4, 3, 1, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 0, 2, 2, 1, 4, 4, 2, 4, 4, 4, 3, 1, 0, 4, 4, 4, 2, 4, 2, 0, 2, 1, 3, 0, 1, 3, 1, 1, 4, 4, 2, 1, 1, 2, 3, 1, 4, 3, 4, 3, 2, 4, 3, 3, 0, 0, 2, 4, 1, 1, 2, 2, 1, 3, 4, 4, 3, 3, 0, 1, 3, 2, 2, 2, 3, 2, 4, 3, 2, 1, 2, 3, 1, 2, 0, 3, 4, 1, 2, 2, 4, 3, 0, 3, 1, 0, 1, 4, 2, 4, 0, 3, 0, 4, 3, 1, 1, 1, 3, 2, 4, 4, 0, 3, 1, 0, 3, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 4, 3, 3, 4, 2, 4, 2, 0, 3, 1, 3, 1, 4, 1, 1, 0, 3, 4, 1, 0, 4, 0, 4, 4, 4, 4, 2, 0, 4, 4, 3, 2, 2, 0, 2, 4, 3, 1, 1, 1, 1, 4, 3, 0, 1, 4, 2, 3, 2, 1, 0, 1, 2, 0, 0, 2, 4, 3, 4, 0, 2, 3, 0, 4, 3, 1, 3, 0, 4, 1, 3, 4, 2, 1, 4, 3, 3, 2, 1, 1, 3, 4, 1, 0, 1, 3, 3, 1, 3, 1, 1, 3, 1, 0, 0, 3, 1, 2, 1, 3, 0, 1, 0, 4, 4, 1, 2, 2, 0, 2, 3, 2, 4, 3, 4, 3, 1, 1, 1, 2, 4, 4, 2, 4, 0, 3, 2, 4, 0, 2, 2, 0, 2] pubkeycol1402 = [2, 4, 3, 1, 3, 2, 0, 2, 3, 2, 1, 2, 0, 1, 4, 4, 2, 2, 4, 4, 4, 0, 3, 0, 4, 0, 4, 2, 1, 1, 4, 2, 3, 2, 3, 2, 1, 1, 0, 1, 0, 3, 1, 4, 2, 4, 4, 2, 3, 1, 4, 4, 1, 1, 1, 3, 0, 4, 3, 1, 4, 0, 2, 0, 1, 1, 1, 2, 1, 3, 3, 0, 2, 0, 1, 4, 4, 2, 4, 4, 2, 1, 4, 4, 0, 4, 4, 0, 0, 3, 3, 4, 2, 4, 3, 2, 4, 0, 3, 1, 0, 0, 2, 0, 1, 4, 1, 1, 3, 4, 1, 2, 4, 0, 2, 1, 4, 3, 0, 4, 3, 4, 4, 4, 0, 2, 1, 4, 4, 0, 4, 3, 3, 1, 0, 0, 0, 3, 0, 1, 4, 3, 4, 4, 3, 4, 3, 3, 4, 2, 4, 2, 3, 2, 1, 3, 0, 4, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 0, 0, 0, 3, 3, 3, 4, 4, 2, 2, 2, 1, 0, 2, 3, 0, 3, 0, 1, 1, 0, 2, 4, 3, 0, 0, 3, 1, 4, 4, 1, 4, 2, 0, 0, 2, 1, 2, 0, 0, 4, 3, 0, 0, 2, 1, 0, 4, 1, 0, 3, 2, 2, 3, 0, 0, 2, 1, 4, 4, 3, 3, 2, 4, 1, 2, 1, 1, 3, 2, 2, 3, 1, 0, 4, 3, 0, 1, 4, 1, 0, 4, 0, 3, 3, 4, 0, 0, 0, 1, 4, 2, 3, 4, 2, 4, 0, 1, 4, 0, 4, 3, 1, 2, 0, 2, 3, 2, 0, 4, 0, 0, 3, 3, 1, 1, 4, 4, 2, 1, 4, 2, 1, 2, 3, 3, 2, 3, 0, 3, 3, 0, 4, 3, 2, 4, 4, 1, 0, 1, 4, 4, 1, 1, 3, 0, 2, 0, 3, 0, 2, 0] pubkeycol1403 = [4, 0, 4, 4, 2, 2, 3, 3, 1, 0, 0, 4, 1, 2, 4, 3, 2, 0, 1, 3, 1, 4, 4, 2, 4, 1, 3, 2, 0, 2, 3, 2, 4, 2, 1, 2, 0, 2, 3, 1, 3, 3, 4, 0, 0, 3, 2, 0, 4, 2, 1, 1, 3, 4, 2, 1, 1, 3, 3, 4, 2, 3, 2, 0, 2, 0, 1, 0, 3, 1, 0, 0, 4, 1, 2, 4, 2, 2, 1, 2, 1, 3, 4, 0, 1, 0, 2, 0, 0, 3, 3, 3, 1, 0, 4, 0, 2, 3, 4, 0, 2, 4, 0, 1, 4, 0, 2, 1, 0, 4, 3, 3, 2, 0, 2, 2, 3, 1, 3, 0, 3, 2, 1, 2, 1, 0, 1, 0, 2, 1, 3, 2, 0, 1, 4, 4, 1, 1, 2, 3, 1, 1, 0, 4, 4, 4, 3, 3, 2, 1, 3, 2, 0, 1, 2, 4, 1, 4, 4, 1, 3, 3, 4, 1, 4, 0, 1, 2, 1, 4, 3, 0, 4, 0, 1, 0, 1, 2, 1, 1, 0, 1, 4, 3, 0, 4, 4, 2, 3, 4, 1, 3, 1, 3, 2, 1, 4, 2, 1, 2, 3, 0, 2, 3, 2, 1, 3, 4, 1, 0, 1, 1, 1, 4, 2, 3, 3, 4, 1, 2, 4, 2, 2, 0, 4, 1, 0, 4, 1, 1, 4, 2, 2, 0, 4, 4, 2, 1, 4, 3, 0, 2, 1, 2, 2, 4, 4, 2, 1, 3, 2, 0, 0, 1, 2, 4, 1, 0, 1, 2, 4, 1, 0, 0, 2, 4, 0, 3, 4, 4, 1, 3, 2, 4, 3, 3, 4, 2, 0, 4, 1, 1, 3, 1, 4, 4, 0, 0, 1, 2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 3, 2, 2, 2, 0, 2, 2, 4, 1, 3, 2, 2, 1, 3, 1, 3, 4, 4, 3] pubkeycol1404 = [2, 2, 2, 3, 2, 2, 4, 1, 4, 1, 2, 1, 3, 3, 2, 0, 0, 2, 0, 4, 1, 4, 4, 3, 3, 2, 3, 3, 3, 3, 0, 0, 3, 2, 0, 3, 0, 1, 1, 4, 3, 2, 1, 4, 2, 4, 0, 3, 1, 0, 4, 1, 2, 4, 0, 0, 3, 2, 3, 3, 3, 1, 1, 4, 1, 0, 3, 1, 3, 4, 4, 0, 1, 3, 0, 1, 2, 4, 2, 0, 2, 1, 3, 1, 1, 0, 3, 1, 0, 4, 1, 3, 4, 3, 4, 1, 4, 4, 0, 0, 3, 4, 0, 2, 0, 4, 0, 0, 4, 0, 4, 2, 4, 4, 1, 4, 1, 1, 2, 2, 2, 0, 1, 3, 0, 3, 0, 4, 0, 3, 4, 0, 2, 2, 1, 0, 4, 4, 3, 4, 0, 1, 4, 0, 0, 2, 1, 2, 0, 4, 3, 3, 0, 3, 2, 2, 2, 4, 0, 0, 0, 1, 1, 2, 3, 4, 4, 1, 0, 3, 2, 3, 0, 2, 4, 2, 2, 0, 2, 1, 0, 2, 1, 4, 0, 1, 1, 1, 1, 4, 1, 2, 2, 3, 4, 3, 1, 1, 2, 3, 3, 4, 0, 4, 1, 0, 4, 2, 4, 3, 2, 0, 3, 1, 2, 3, 1, 0, 1, 4, 2, 1, 3, 0, 2, 1, 1, 3, 4, 0, 0, 4, 0, 1, 2, 2, 1, 1, 2, 4, 2, 0, 3, 2, 4, 4, 1, 2, 4, 3, 2, 2, 4, 3, 2, 3, 3, 4, 1, 4, 4, 2, 0, 0, 0, 2, 3, 1, 4, 1, 0, 4, 4, 2, 2, 4, 1, 3, 3, 0, 0, 1, 2, 0, 2, 3, 3, 2, 3, 4, 2, 4, 2, 4, 2, 0, 0, 2, 0, 4, 0, 0, 3, 1, 3, 2, 1, 4, 1, 1, 1, 0, 3, 1, 0, 4, 2, 2, 3, 4] pubkeycol1405 = [2, 4, 3, 3, 2, 1, 1, 4, 0, 4, 4, 0, 0, 1, 3, 1, 0, 1, 1, 4, 1, 2, 0, 2, 3, 4, 2, 4, 0, 1, 4, 4, 2, 3, 4, 0, 4, 0, 3, 1, 2, 4, 4, 3, 3, 0, 0, 0, 3, 4, 2, 4, 4, 0, 2, 3, 4, 1, 0, 3, 2, 0, 2, 0, 3, 3, 2, 3, 1, 1, 0, 3, 4, 0, 4, 2, 4, 3, 1, 1, 1, 2, 0, 1, 4, 3, 4, 2, 2, 1, 3, 3, 0, 1, 0, 0, 2, 3, 3, 2, 4, 0, 4, 3, 4, 0, 1, 1, 3, 1, 2, 4, 2, 2, 4, 0, 0, 0, 3, 2, 1, 0, 3, 2, 3, 0, 3, 3, 1, 2, 4, 0, 2, 2, 4, 4, 1, 2, 1, 0, 2, 4, 2, 2, 0, 1, 0, 2, 1, 3, 0, 3, 4, 2, 1, 3, 4, 4, 3, 2, 1, 3, 2, 1, 3, 2, 4, 1, 2, 2, 1, 1, 1, 1, 3, 0, 0, 4, 3, 1, 4, 0, 3, 4, 2, 1, 2, 2, 4, 4, 3, 0, 2, 1, 1, 3, 4, 0, 2, 2, 1, 4, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 3, 1, 1, 2, 1, 3, 3, 2, 0, 2, 1, 4, 2, 3, 4, 1, 4, 0, 1, 3, 1, 1, 4, 1, 3, 2, 4, 4, 3, 0, 4, 3, 0, 1, 2, 4, 4, 4, 2, 0, 0, 1, 2, 4, 3, 2, 0, 4, 4, 3, 2, 1, 0, 4, 2, 1, 2, 2, 1, 4, 2, 2, 0, 1, 3, 0, 0, 4, 2, 1, 4, 1, 1, 0, 1, 1, 2, 1, 3, 2, 4, 0, 3, 0, 2, 1, 0, 4, 3, 4, 4, 0, 0, 4, 3, 3, 3, 3, 2, 1, 4, 0, 2, 2, 0, 3, 0] pubkeycol1406 = [2, 4, 3, 3, 0, 3, 0, 0, 2, 2, 0, 4, 4, 2, 2, 4, 0, 4, 2, 2, 1, 3, 2, 0, 3, 2, 1, 1, 1, 0, 3, 0, 3, 2, 4, 0, 0, 0, 0, 1, 1, 0, 4, 0, 4, 4, 0, 2, 1, 0, 3, 2, 4, 3, 0, 2, 1, 4, 3, 4, 4, 2, 0, 1, 4, 2, 1, 3, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 3, 0, 3, 0, 4, 1, 0, 3, 3, 0, 2, 0, 0, 3, 2, 4, 0, 2, 2, 3, 2, 0, 2, 0, 2, 2, 4, 0, 0, 0, 3, 1, 4, 0, 2, 3, 0, 1, 2, 3, 4, 1, 1, 4, 4, 4, 2, 4, 4, 2, 1, 0, 1, 2, 0, 0, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 3, 2, 0, 2, 2, 2, 2, 3, 0, 3, 1, 1, 2, 2, 0, 4, 3, 4, 4, 2, 0, 3, 4, 4, 2, 0, 3, 4, 2, 3, 4, 1, 4, 3, 4, 2, 2, 2, 4, 3, 4, 1, 3, 4, 1, 0, 0, 4, 3, 0, 1, 1, 2, 0, 0, 3, 0, 4, 1, 4, 0, 2, 3, 4, 0, 3, 4, 4, 0, 0, 1, 0, 1, 4, 4, 4, 1, 2, 4, 3, 1, 4, 4, 3, 0, 4, 0, 0, 2, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 4, 4, 3, 0, 4, 3, 0, 0, 1, 3, 4, 2, 3, 4, 2, 1, 3, 0, 4, 1, 2, 4, 1, 2, 1, 1, 4, 2, 1, 0, 3, 0, 1, 1, 1, 0, 4, 0, 1, 4, 2, 1, 4, 4, 2, 3, 2, 3, 4, 0, 2, 4, 0, 1, 4, 1, 4, 3, 2, 0, 3, 1, 0, 4, 2, 3, 4, 1, 4, 1, 3, 1, 0, 0, 4] pubkeycol1407 = [0, 3, 1, 4, 3, 0, 0, 1, 0, 4, 1, 3, 1, 4, 3, 3, 3, 3, 4, 2, 3, 0, 4, 3, 1, 0, 1, 2, 1, 4, 2, 3, 4, 0, 2, 1, 0, 4, 0, 4, 0, 4, 4, 2, 2, 2, 3, 1, 2, 0, 2, 2, 1, 2, 3, 0, 4, 3, 3, 0, 4, 0, 2, 4, 2, 1, 1, 4, 3, 0, 1, 0, 4, 2, 1, 4, 1, 3, 2, 2, 3, 0, 0, 4, 1, 4, 0, 1, 2, 0, 1, 4, 3, 3, 4, 3, 3, 0, 4, 3, 2, 0, 3, 4, 2, 4, 1, 1, 3, 4, 3, 1, 3, 2, 1, 0, 3, 2, 3, 3, 1, 0, 0, 0, 4, 2, 0, 2, 4, 2, 0, 4, 1, 2, 4, 4, 2, 0, 2, 1, 0, 3, 4, 1, 1, 0, 3, 3, 2, 2, 2, 0, 4, 3, 2, 0, 4, 1, 3, 0, 2, 4, 4, 3, 0, 2, 2, 3, 3, 1, 0, 3, 2, 4, 2, 0, 3, 0, 3, 4, 2, 4, 0, 1, 4, 1, 2, 0, 3, 4, 4, 3, 4, 1, 3, 3, 4, 1, 1, 3, 0, 0, 1, 0, 3, 1, 3, 3, 3, 1, 1, 2, 4, 3, 4, 2, 4, 4, 1, 4, 1, 4, 1, 3, 2, 1, 0, 0, 1, 2, 0, 4, 1, 3, 3, 0, 2, 1, 2, 3, 4, 2, 3, 2, 0, 4, 2, 1, 4, 3, 0, 3, 2, 3, 0, 1, 4, 3, 2, 2, 4, 0, 4, 4, 4, 4, 2, 3, 1, 1, 4, 4, 4, 1, 3, 1, 2, 0, 0, 2, 0, 1, 2, 3, 1, 4, 0, 1, 1, 1, 1, 4, 3, 0, 3, 1, 3, 4, 4, 0, 0, 0, 2, 1, 2, 4, 2, 3, 3, 1, 1, 1, 3, 3, 0, 1, 0, 1, 0, 3] pubkeycol1408 = [0, 2, 2, 0, 4, 1, 3, 0, 1, 2, 0, 1, 2, 4, 1, 0, 4, 0, 0, 0, 1, 3, 3, 2, 0, 4, 4, 3, 0, 1, 4, 0, 4, 0, 4, 0, 2, 3, 3, 2, 4, 1, 3, 2, 3, 0, 4, 4, 4, 1, 1, 2, 3, 0, 3, 3, 4, 0, 4, 2, 1, 4, 3, 3, 0, 0, 1, 4, 4, 1, 4, 2, 3, 1, 2, 1, 4, 4, 1, 0, 2, 1, 2, 1, 4, 4, 4, 2, 1, 0, 0, 1, 2, 1, 4, 3, 1, 2, 3, 3, 1, 3, 0, 2, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 3, 0, 1, 3, 1, 4, 2, 4, 2, 0, 4, 0, 3, 3, 4, 4, 0, 4, 3, 2, 0, 0, 0, 2, 2, 0, 0, 4, 0, 3, 0, 4, 0, 3, 3, 2, 0, 3, 1, 1, 4, 0, 3, 4, 3, 3, 4, 4, 2, 0, 1, 4, 3, 0, 4, 0, 3, 3, 0, 0, 2, 4, 3, 1, 2, 3, 0, 2, 4, 4, 1, 3, 0, 4, 4, 2, 1, 2, 1, 4, 1, 1, 3, 2, 3, 4, 2, 0, 1, 3, 2, 3, 2, 0, 1, 3, 0, 4, 4, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 4, 1, 1, 4, 4, 4, 3, 1, 1, 0, 3, 0, 2, 2, 4, 0, 4, 1, 2, 3, 1, 2, 2, 4, 0, 2, 4, 4, 3, 1, 3, 1, 0, 0, 3, 2, 1, 4, 4, 4, 2, 3, 3, 3, 1, 4, 3, 3, 1, 4, 1, 2, 3, 1, 1, 1, 1, 0, 1, 2, 2, 0, 3, 3, 2, 1, 3, 1, 0, 0, 4, 2, 1, 3, 2, 3, 0, 0, 4, 1, 4, 1, 3, 2, 1, 0, 3, 4, 3, 1, 2, 3, 3, 2, 4, 2, 3] pubkeycol1409 = [1, 0, 3, 4, 4, 4, 1, 1, 2, 3, 2, 2, 2, 1, 0, 0, 3, 1, 4, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 3, 2, 3, 3, 3, 4, 2, 0, 4, 3, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 3, 2, 0, 2, 1, 3, 0, 2, 1, 0, 0, 4, 1, 3, 2, 3, 4, 2, 0, 2, 2, 3, 1, 3, 4, 1, 4, 3, 0, 2, 4, 0, 1, 2, 0, 2, 0, 4, 0, 4, 3, 4, 1, 0, 2, 1, 1, 4, 0, 4, 4, 4, 3, 0, 1, 1, 1, 3, 0, 0, 0, 4, 4, 0, 1, 4, 3, 1, 2, 3, 1, 4, 4, 0, 3, 1, 3, 1, 1, 4, 2, 1, 3, 3, 0, 4, 2, 2, 4, 0, 4, 2, 3, 4, 4, 3, 1, 1, 1, 2, 1, 4, 1, 4, 2, 4, 1, 4, 4, 0, 4, 0, 1, 4, 0, 0, 3, 3, 0, 4, 0, 3, 4, 4, 3, 1, 0, 3, 3, 2, 4, 3, 2, 3, 1, 1, 0, 0, 2, 1, 2, 3, 2, 3, 0, 4, 3, 4, 3, 1, 4, 2, 1, 4, 3, 4, 0, 3, 3, 0, 1, 3, 3, 2, 3, 4, 3, 0, 1, 3, 4, 4, 1, 4, 1, 4, 2, 1, 0, 1, 1, 4, 0, 1, 3, 2, 0, 4, 0, 0, 0, 4, 3, 4, 3, 4, 2, 3, 3, 2, 0, 3, 2, 0, 1, 3, 4, 4, 2, 0, 1, 0, 0, 3, 2, 1, 2, 4, 2, 2, 2, 1, 4, 0, 1, 0, 0, 1, 4, 3, 4, 2, 3, 1, 1, 4, 4, 3, 0, 1, 3, 2, 1, 3, 0, 0, 0, 3, 3, 2, 3, 1, 0, 0, 4, 3, 2, 2, 1, 4, 0, 3, 4, 3, 3, 1, 2, 2, 2, 4] pubkeycol1410 = [4, 4, 0, 2, 0, 1, 0, 0, 3, 4, 0, 0, 4, 0, 2, 0, 3, 3, 3, 2, 2, 0, 0, 0, 3, 2, 3, 2, 4, 3, 3, 1, 1, 4, 4, 1, 0, 0, 0, 2, 0, 4, 0, 0, 4, 1, 3, 2, 4, 0, 3, 1, 3, 4, 2, 0, 1, 1, 4, 1, 3, 0, 3, 0, 4, 1, 3, 1, 1, 2, 1, 3, 0, 0, 4, 4, 1, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 2, 3, 1, 1, 3, 4, 0, 1, 0, 4, 1, 3, 3, 3, 1, 0, 3, 4, 1, 0, 0, 4, 2, 2, 2, 3, 3, 4, 1, 0, 0, 2, 4, 0, 2, 0, 1, 0, 1, 0, 3, 4, 0, 0, 3, 0, 0, 4, 1, 1, 1, 4, 0, 3, 3, 4, 1, 4, 0, 0, 0, 1, 3, 2, 3, 1, 0, 2, 2, 3, 4, 0, 1, 0, 4, 3, 3, 3, 3, 2, 0, 0, 4, 2, 1, 1, 4, 0, 0, 2, 0, 0, 4, 2, 3, 3, 0, 3, 2, 2, 4, 0, 4, 0, 4, 4, 3, 1, 0, 3, 3, 1, 0, 0, 2, 3, 3, 4, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 4, 2, 1, 3, 3, 3, 4, 3, 4, 3, 0, 2, 2, 0, 4, 3, 0, 2, 4, 4, 1, 4, 1, 4, 0, 0, 4, 3, 2, 1, 4, 4, 1, 2, 1, 4, 3, 4, 2, 2, 4, 1, 1, 0, 2, 4, 3, 4, 2, 3, 4, 3, 3, 4, 1, 1, 1, 4, 3, 1, 4, 2, 2, 0, 0, 4, 4, 3, 2, 0, 1, 4, 0, 0, 4, 3, 4, 1, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 3, 0, 3, 4, 4, 3, 3, 0, 3, 1, 3, 0] pubkeycol1411 = [3, 4, 0, 2, 0, 3, 0, 3, 1, 0, 1, 2, 0, 1, 0, 4, 4, 3, 3, 0, 3, 2, 3, 1, 3, 2, 1, 4, 0, 0, 1, 3, 4, 1, 4, 3, 0, 0, 4, 1, 1, 0, 4, 3, 2, 1, 3, 2, 4, 2, 4, 2, 2, 3, 0, 2, 4, 4, 4, 1, 3, 4, 4, 2, 2, 1, 3, 1, 0, 4, 3, 0, 2, 4, 1, 2, 3, 3, 0, 0, 0, 2, 0, 4, 0, 4, 4, 0, 3, 4, 0, 4, 4, 4, 4, 2, 4, 3, 1, 4, 2, 0, 3, 4, 3, 0, 0, 4, 0, 1, 1, 1, 2, 3, 1, 3, 0, 1, 3, 2, 0, 0, 4, 3, 1, 0, 0, 2, 4, 3, 1, 4, 2, 2, 1, 0, 3, 4, 4, 1, 0, 4, 0, 2, 0, 4, 2, 2, 0, 1, 0, 2, 0, 3, 1, 2, 0, 2, 1, 1, 3, 3, 0, 1, 4, 1, 3, 4, 1, 2, 0, 1, 4, 2, 3, 2, 4, 0, 1, 4, 0, 0, 4, 4, 4, 2, 1, 2, 3, 4, 4, 3, 4, 4, 3, 1, 0, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 4, 0, 2, 3, 0, 2, 0, 2, 3, 2, 1, 3, 4, 1, 0, 4, 1, 3, 0, 4, 1, 1, 2, 1, 2, 0, 2, 0, 4, 2, 0, 2, 4, 4, 2, 3, 0, 1, 0, 1, 2, 4, 1, 1, 4, 2, 0, 1, 4, 0, 0, 0, 2, 2, 0, 4, 1, 2, 1, 4, 1, 3, 3, 3, 0, 4, 4, 2, 4, 4, 0, 1, 0, 0, 0, 1, 0, 4, 0, 1, 2, 3, 2, 3, 3, 3, 1, 0, 4, 1, 3, 3, 3, 2, 0, 2, 4, 3, 2, 0, 0, 2, 3, 0, 4, 0, 2, 0, 1, 3, 1, 0, 0] pubkeycol1412 = [4, 0, 3, 2, 1, 1, 2, 1, 4, 3, 0, 3, 3, 2, 0, 4, 4, 0, 4, 2, 4, 1, 4, 3, 0, 2, 3, 4, 0, 2, 1, 1, 0, 1, 1, 1, 4, 4, 3, 4, 2, 0, 0, 0, 3, 0, 4, 2, 4, 3, 0, 1, 2, 4, 1, 4, 4, 2, 0, 1, 0, 1, 2, 1, 4, 4, 4, 0, 3, 2, 2, 3, 1, 3, 3, 0, 0, 4, 4, 1, 4, 0, 3, 0, 2, 0, 3, 2, 4, 0, 4, 4, 4, 1, 2, 2, 1, 0, 4, 3, 0, 2, 1, 4, 3, 3, 4, 1, 3, 1, 0, 3, 3, 1, 4, 4, 2, 3, 1, 3, 0, 2, 4, 3, 0, 3, 1, 1, 0, 4, 4, 4, 0, 3, 1, 4, 4, 3, 1, 2, 4, 4, 4, 1, 4, 2, 3, 0, 0, 3, 4, 3, 1, 1, 1, 3, 2, 4, 2, 1, 2, 3, 3, 1, 4, 2, 0, 1, 0, 3, 4, 2, 0, 4, 2, 4, 4, 0, 2, 0, 0, 4, 3, 4, 4, 4, 3, 2, 1, 3, 0, 3, 0, 1, 4, 4, 4, 4, 0, 3, 0, 0, 4, 1, 3, 0, 1, 4, 4, 4, 0, 3, 0, 2, 3, 4, 0, 2, 0, 3, 3, 0, 0, 3, 4, 1, 0, 3, 2, 1, 2, 2, 1, 3, 0, 4, 0, 1, 4, 1, 0, 3, 2, 4, 1, 1, 4, 4, 2, 3, 3, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 3, 4, 2, 1, 2, 0, 1, 4, 1, 0, 0, 4, 3, 0, 1, 1, 4, 1, 2, 3, 3, 0, 4, 3, 2, 2, 3, 3, 4, 4, 4, 2, 2, 4, 3, 2, 0, 3, 1, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 4, 3, 3, 1, 1, 4, 4, 1, 3, 4] pubkeycol1413 = [4, 0, 0, 2, 1, 4, 4, 3, 1, 0, 4, 2, 3, 3, 2, 1, 3, 3, 2, 0, 0, 4, 0, 1, 3, 2, 2, 1, 4, 0, 4, 0, 1, 3, 0, 4, 4, 2, 4, 0, 1, 2, 4, 2, 0, 2, 3, 2, 1, 3, 1, 3, 2, 4, 3, 1, 3, 3, 2, 3, 4, 1, 0, 3, 1, 2, 2, 4, 0, 2, 2, 4, 4, 0, 0, 2, 0, 1, 0, 0, 1, 0, 3, 0, 1, 1, 4, 4, 2, 4, 2, 3, 4, 0, 4, 3, 0, 3, 3, 3, 3, 1, 2, 1, 2, 3, 1, 0, 2, 2, 0, 1, 3, 0, 1, 4, 3, 0, 0, 2, 0, 1, 1, 0, 3, 0, 1, 0, 4, 2, 3, 4, 3, 3, 1, 3, 1, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 2, 1, 3, 1, 1, 0, 1, 4, 3, 1, 0, 0, 2, 0, 3, 1, 4, 3, 0, 3, 4, 3, 0, 2, 3, 1, 1, 1, 3, 2, 2, 4, 3, 0, 0, 1, 2, 2, 2, 1, 4, 0, 4, 2, 2, 3, 3, 4, 4, 2, 4, 4, 0, 3, 1, 2, 2, 1, 4, 4, 0, 4, 1, 1, 2, 4, 1, 4, 1, 1, 1, 4, 0, 0, 4, 0, 2, 1, 4, 0, 4, 3, 2, 1, 4, 3, 3, 0, 3, 0, 3, 2, 1, 0, 2, 3, 0, 4, 1, 1, 1, 4, 0, 3, 2, 3, 1, 4, 4, 4, 3, 4, 3, 2, 1, 3, 1, 2, 3, 2, 3, 2, 2, 0, 3, 2, 2, 1, 2, 0, 0, 0, 3, 0, 3, 1, 2, 1, 1, 2, 0, 0, 0, 3, 1, 3, 0, 4, 0, 3, 0, 4, 3, 4, 0, 0, 2, 3, 2, 3, 0, 1, 1, 0, 0, 3, 4, 1, 0, 4, 3, 1, 3] pubkeycol1414 = [0, 0, 0, 2, 1, 3, 2, 0, 1, 4, 4, 3, 2, 4, 3, 3, 3, 0, 0, 2, 2, 0, 1, 4, 0, 2, 3, 0, 2, 0, 4, 1, 3, 0, 3, 4, 4, 0, 2, 1, 1, 0, 2, 2, 4, 3, 1, 4, 4, 0, 3, 1, 3, 1, 4, 3, 4, 0, 2, 2, 1, 0, 4, 3, 1, 0, 3, 2, 0, 1, 0, 4, 4, 3, 1, 4, 1, 0, 1, 4, 3, 0, 2, 1, 0, 4, 0, 2, 1, 4, 4, 4, 4, 1, 2, 0, 4, 1, 4, 0, 2, 1, 0, 0, 3, 3, 4, 2, 1, 3, 4, 2, 2, 3, 1, 4, 1, 1, 3, 0, 1, 4, 3, 4, 1, 0, 4, 2, 1, 1, 1, 2, 2, 1, 3, 1, 1, 1, 4, 1, 0, 3, 2, 1, 1, 1, 4, 1, 1, 3, 2, 0, 3, 1, 4, 4, 2, 0, 1, 2, 1, 0, 2, 4, 3, 2, 1, 2, 3, 0, 1, 0, 2, 1, 0, 4, 3, 3, 0, 3, 2, 4, 0, 4, 2, 1, 1, 2, 0, 0, 2, 1, 0, 4, 0, 3, 1, 1, 2, 3, 4, 0, 2, 2, 0, 3, 4, 4, 2, 2, 2, 0, 3, 0, 3, 2, 2, 1, 1, 3, 0, 3, 4, 1, 1, 4, 4, 0, 0, 3, 0, 0, 4, 2, 4, 1, 1, 4, 2, 4, 2, 2, 1, 0, 3, 3, 4, 2, 1, 1, 0, 2, 3, 0, 2, 1, 0, 4, 1, 0, 4, 3, 2, 1, 3, 3, 2, 0, 3, 3, 0, 3, 4, 2, 2, 4, 2, 1, 3, 2, 2, 1, 1, 3, 0, 1, 4, 0, 0, 2, 4, 0, 3, 1, 2, 1, 1, 0, 0, 3, 3, 2, 1, 3, 0, 0, 1, 2, 1, 4, 4, 2, 2, 1, 4, 1, 0, 4, 3, 0] pubkeycol1415 = [1, 1, 4, 0, 4, 0, 2, 3, 3, 0, 0, 3, 0, 1, 1, 4, 4, 2, 0, 1, 1, 4, 1, 2, 2, 3, 4, 3, 4, 3, 0, 1, 2, 2, 3, 3, 3, 4, 3, 4, 4, 4, 2, 4, 3, 1, 1, 4, 2, 1, 3, 4, 4, 2, 3, 4, 1, 3, 0, 3, 0, 4, 0, 4, 1, 4, 3, 2, 3, 1, 2, 1, 1, 3, 3, 4, 1, 1, 1, 4, 3, 3, 4, 4, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 1, 4, 3, 4, 0, 0, 1, 3, 2, 0, 4, 0, 1, 3, 2, 0, 1, 2, 3, 1, 2, 4, 2, 4, 1, 2, 2, 4, 2, 2, 4, 2, 3, 1, 0, 4, 3, 0, 4, 4, 3, 1, 2, 3, 2, 2, 0, 3, 0, 1, 2, 3, 2, 3, 3, 2, 0, 1, 3, 3, 3, 1, 2, 3, 4, 0, 4, 4, 0, 0, 3, 3, 2, 0, 2, 2, 2, 2, 2, 4, 2, 2, 3, 2, 1, 0, 1, 1, 0, 3, 2, 0, 3, 2, 0, 0, 2, 0, 0, 4, 3, 0, 0, 3, 1, 2, 3, 4, 2, 1, 1, 0, 2, 1, 1, 0, 2, 3, 0, 3, 0, 1, 2, 3, 1, 1, 0, 1, 3, 0, 4, 4, 4, 0, 1, 3, 3, 2, 1, 2, 0, 0, 4, 1, 2, 0, 0, 2, 4, 0, 2, 4, 4, 4, 0, 3, 2, 2, 0, 2, 1, 0, 4, 0, 2, 4, 2, 1, 2, 0, 2, 2, 4, 2, 2, 0, 3, 2, 2, 0, 4, 0, 3, 1, 2, 4, 1, 4, 2, 3, 4, 4, 1, 3, 0, 1, 1, 0, 4, 3, 2, 0, 4, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 4, 0, 1, 2, 0, 2, 2, 4, 2] pubkeycol1416 = [0, 1, 2, 0, 4, 1, 4, 2, 1, 3, 2, 1, 0, 1, 2, 3, 2, 2, 3, 1, 2, 1, 3, 1, 2, 1, 3, 3, 2, 3, 3, 2, 4, 1, 2, 1, 0, 2, 2, 1, 4, 0, 2, 4, 1, 0, 4, 3, 0, 4, 1, 3, 1, 3, 4, 0, 3, 2, 0, 0, 4, 4, 4, 1, 0, 2, 2, 4, 1, 1, 4, 0, 3, 3, 0, 1, 0, 4, 2, 4, 2, 1, 4, 2, 3, 4, 1, 1, 1, 1, 2, 1, 0, 2, 3, 0, 1, 4, 4, 4, 1, 3, 3, 0, 0, 3, 3, 3, 0, 1, 4, 3, 3, 2, 0, 0, 1, 1, 0, 4, 4, 2, 1, 4, 2, 4, 4, 4, 1, 4, 4, 4, 2, 3, 1, 4, 4, 0, 0, 3, 3, 1, 0, 1, 4, 0, 2, 3, 4, 3, 3, 0, 4, 4, 1, 1, 0, 0, 4, 3, 3, 2, 4, 1, 1, 2, 4, 0, 3, 3, 1, 3, 4, 2, 4, 1, 2, 2, 1, 0, 3, 0, 2, 1, 1, 0, 1, 3, 1, 4, 1, 4, 2, 1, 3, 0, 0, 1, 2, 0, 2, 2, 1, 4, 3, 1, 2, 4, 3, 0, 0, 0, 4, 3, 3, 3, 4, 3, 4, 1, 0, 1, 1, 2, 3, 1, 1, 2, 3, 3, 4, 3, 1, 3, 0, 0, 3, 0, 4, 1, 1, 2, 3, 0, 0, 1, 0, 0, 3, 3, 0, 2, 4, 1, 3, 2, 4, 3, 3, 2, 0, 2, 1, 2, 0, 2, 4, 3, 3, 0, 4, 4, 2, 3, 4, 1, 0, 4, 1, 0, 1, 0, 4, 3, 1, 0, 0, 3, 4, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 2, 0, 2, 0, 3, 0, 1, 0, 4, 3, 0, 3, 3, 2, 4, 1, 1, 4, 2, 0, 4] pubkeycol1417 = [3, 4, 3, 1, 2, 2, 4, 1, 3, 1, 0, 2, 1, 3, 1, 3, 3, 2, 4, 3, 4, 4, 4, 3, 0, 0, 0, 3, 2, 0, 0, 3, 2, 4, 4, 4, 2, 0, 2, 4, 4, 4, 1, 0, 4, 3, 4, 2, 0, 3, 2, 3, 3, 0, 2, 1, 3, 3, 2, 2, 4, 2, 0, 2, 4, 2, 1, 0, 1, 4, 3, 2, 1, 2, 0, 4, 2, 1, 3, 4, 3, 4, 1, 3, 4, 3, 4, 0, 0, 0, 0, 1, 4, 3, 1, 1, 0, 2, 0, 1, 4, 0, 2, 1, 2, 2, 4, 4, 3, 1, 1, 4, 4, 4, 1, 2, 3, 3, 3, 4, 4, 1, 1, 3, 3, 1, 1, 1, 2, 1, 3, 4, 0, 0, 1, 1, 3, 1, 3, 0, 1, 3, 0, 4, 3, 3, 1, 3, 3, 2, 4, 3, 3, 3, 1, 3, 4, 4, 2, 4, 1, 3, 0, 1, 1, 0, 0, 3, 2, 0, 1, 4, 4, 1, 4, 3, 1, 4, 4, 3, 1, 3, 3, 4, 4, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 3, 4, 2, 0, 0, 3, 2, 1, 1, 2, 1, 3, 3, 2, 1, 3, 3, 3, 2, 0, 4, 0, 1, 1, 3, 4, 0, 4, 4, 1, 1, 3, 0, 4, 2, 4, 1, 4, 1, 2, 4, 3, 0, 0, 0, 1, 4, 3, 1, 0, 0, 2, 4, 1, 1, 1, 2, 3, 4, 1, 3, 4, 0, 3, 1, 4, 4, 2, 0, 4, 3, 2, 0, 2, 4, 2, 3, 1, 1, 0, 0, 3, 3, 3, 3, 1, 3, 1, 1, 3, 3, 1, 4, 0, 1, 3, 3, 2, 1, 4, 3, 1, 1, 0, 4, 4, 1, 1, 2, 3, 4, 4, 2, 1, 2, 3, 2, 0, 0, 4, 0, 1, 2, 0, 2] pubkeycol1418 = [1, 2, 0, 4, 0, 1, 4, 0, 2, 3, 1, 0, 3, 0, 3, 3, 3, 2, 0, 1, 4, 1, 4, 2, 1, 0, 1, 2, 4, 1, 0, 0, 1, 4, 1, 1, 2, 4, 2, 0, 3, 0, 3, 0, 3, 0, 0, 4, 2, 3, 1, 1, 4, 0, 3, 4, 1, 3, 3, 0, 0, 0, 1, 4, 2, 1, 2, 3, 3, 3, 2, 2, 4, 3, 1, 4, 1, 2, 2, 4, 0, 4, 2, 2, 4, 2, 3, 3, 1, 4, 4, 2, 3, 2, 0, 1, 1, 2, 1, 0, 2, 3, 3, 4, 0, 1, 3, 0, 0, 0, 4, 3, 4, 1, 3, 3, 0, 1, 0, 0, 4, 1, 0, 0, 1, 3, 3, 1, 3, 4, 2, 3, 0, 1, 4, 3, 0, 1, 2, 1, 1, 3, 0, 0, 0, 2, 0, 4, 4, 1, 3, 3, 0, 3, 2, 4, 4, 2, 2, 1, 2, 1, 4, 0, 1, 2, 1, 1, 1, 2, 4, 3, 4, 1, 2, 3, 1, 0, 1, 1, 2, 3, 0, 2, 3, 3, 4, 3, 3, 2, 0, 3, 4, 2, 2, 1, 0, 0, 4, 2, 4, 3, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 4, 2, 4, 3, 2, 0, 0, 1, 4, 0, 3, 3, 1, 2, 4, 2, 1, 2, 1, 3, 4, 1, 1, 0, 2, 2, 1, 4, 1, 3, 3, 4, 1, 4, 3, 2, 1, 2, 4, 3, 3, 2, 4, 1, 3, 2, 2, 2, 4, 1, 2, 2, 4, 0, 4, 2, 4, 2, 3, 0, 3, 2, 3, 4, 2, 1, 0, 3, 0, 4, 1, 4, 3, 0, 1, 1, 4, 3, 3, 1, 0, 0, 2, 1, 2, 1, 0, 3, 0, 4, 3, 2, 3, 0, 2, 3, 4, 3, 3, 3, 1, 0, 2, 4, 0, 1, 4, 3] pubkeycol1419 = [1, 2, 1, 1, 4, 2, 0, 0, 0, 3, 4, 0, 3, 4, 1, 1, 1, 0, 4, 0, 3, 1, 2, 4, 2, 4, 1, 1, 1, 3, 0, 4, 1, 4, 4, 3, 4, 2, 2, 2, 3, 4, 4, 3, 4, 0, 2, 2, 1, 2, 4, 2, 3, 4, 1, 2, 2, 1, 2, 0, 3, 2, 4, 4, 3, 0, 0, 3, 2, 3, 2, 4, 2, 1, 3, 3, 4, 3, 3, 0, 4, 1, 3, 2, 2, 1, 4, 1, 2, 4, 2, 2, 4, 2, 2, 2, 4, 3, 4, 0, 0, 3, 3, 1, 0, 1, 2, 3, 4, 0, 2, 4, 4, 2, 0, 2, 3, 3, 0, 3, 4, 1, 2, 4, 4, 3, 1, 4, 0, 3, 0, 4, 2, 1, 2, 3, 1, 1, 3, 4, 4, 4, 3, 1, 0, 0, 2, 2, 4, 1, 2, 3, 4, 4, 4, 3, 1, 4, 3, 2, 4, 0, 1, 1, 0, 3, 4, 1, 2, 0, 3, 4, 1, 4, 0, 1, 4, 3, 3, 1, 0, 0, 2, 4, 2, 3, 3, 4, 3, 1, 0, 3, 1, 1, 0, 3, 4, 4, 1, 3, 2, 4, 4, 4, 3, 1, 4, 2, 4, 1, 4, 4, 3, 0, 3, 2, 3, 2, 1, 0, 0, 1, 3, 2, 1, 1, 4, 3, 3, 4, 1, 4, 3, 2, 0, 0, 3, 4, 3, 2, 3, 1, 0, 2, 4, 4, 2, 4, 0, 4, 2, 2, 4, 2, 0, 4, 3, 2, 4, 0, 2, 0, 2, 1, 1, 3, 0, 3, 0, 2, 3, 1, 1, 3, 1, 1, 0, 0, 0, 1, 0, 4, 3, 1, 0, 4, 2, 3, 1, 0, 1, 1, 0, 4, 0, 4, 4, 3, 3, 3, 4, 1, 1, 2, 2, 1, 0, 4, 1, 2, 2, 3, 1, 4, 3, 2, 0, 1, 2, 2] pubkeycol1420 = [2, 0, 2, 3, 3, 1, 1, 0, 2, 4, 3, 3, 0, 2, 2, 4, 4, 0, 0, 4, 1, 4, 1, 1, 1, 4, 2, 2, 3, 0, 3, 0, 0, 4, 4, 1, 4, 0, 2, 2, 0, 4, 2, 1, 1, 2, 4, 2, 2, 3, 1, 4, 3, 4, 1, 3, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 0, 1, 0, 4, 1, 3, 0, 2, 4, 0, 4, 4, 3, 2, 2, 0, 4, 2, 0, 0, 2, 0, 2, 4, 0, 3, 1, 4, 3, 3, 0, 0, 4, 3, 2, 4, 1, 0, 4, 2, 3, 0, 0, 3, 4, 0, 4, 3, 1, 3, 1, 1, 1, 1, 4, 2, 2, 0, 0, 3, 2, 0, 0, 1, 3, 4, 0, 1, 0, 3, 3, 3, 1, 4, 1, 3, 3, 3, 2, 3, 3, 2, 4, 1, 3, 0, 3, 3, 2, 2, 0, 2, 4, 1, 1, 1, 1, 0, 4, 1, 4, 4, 0, 0, 4, 4, 4, 4, 3, 0, 2, 2, 1, 2, 3, 2, 2, 4, 4, 4, 3, 4, 0, 3, 2, 4, 0, 2, 0, 0, 2, 3, 2, 4, 1, 3, 1, 3, 0, 0, 2, 2, 3, 1, 0, 2, 4, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 3, 0, 3, 1, 2, 2, 2, 4, 4, 0, 1, 1, 3, 1, 1, 0, 2, 3, 0, 4, 3, 2, 1, 1, 1, 3, 0, 0, 2, 0, 1, 4, 4, 3, 2, 0, 2, 1, 1, 0, 0, 1, 0, 3, 0, 0, 3, 2, 4, 2, 3, 0, 2, 4, 3, 1, 4, 1, 4, 3, 3, 0, 2, 3, 4, 0, 4, 4, 2, 1, 3, 1, 4, 2, 0, 2, 0, 4, 3, 2, 2, 3, 3, 3, 0, 0, 1, 1, 2, 1, 0, 4] pubkeycol1421 = [3, 1, 2, 2, 4, 4, 3, 2, 1, 4, 2, 2, 1, 1, 3, 3, 1, 2, 2, 3, 3, 4, 0, 4, 0, 1, 2, 1, 3, 4, 0, 3, 0, 4, 4, 0, 0, 4, 2, 2, 2, 4, 2, 3, 3, 3, 1, 3, 0, 2, 2, 4, 3, 3, 4, 0, 2, 1, 3, 4, 1, 3, 2, 4, 4, 1, 3, 0, 0, 2, 0, 4, 2, 1, 0, 0, 4, 0, 2, 1, 0, 2, 4, 1, 3, 2, 0, 0, 0, 4, 2, 2, 2, 1, 3, 0, 0, 1, 2, 4, 0, 1, 0, 1, 0, 4, 2, 4, 0, 0, 1, 2, 1, 2, 3, 2, 3, 1, 0, 0, 0, 1, 2, 1, 1, 3, 0, 0, 2, 0, 4, 4, 2, 2, 2, 0, 3, 1, 2, 0, 0, 0, 0, 0, 3, 0, 3, 3, 4, 3, 4, 3, 2, 2, 0, 3, 1, 1, 1, 0, 4, 2, 1, 0, 0, 2, 2, 3, 2, 3, 4, 0, 2, 1, 2, 1, 2, 1, 3, 1, 0, 1, 4, 0, 3, 0, 3, 0, 1, 3, 3, 0, 1, 3, 1, 1, 0, 4, 0, 2, 0, 4, 3, 0, 3, 0, 4, 0, 0, 3, 0, 4, 1, 1, 4, 4, 2, 2, 1, 2, 0, 3, 2, 0, 4, 2, 4, 4, 0, 0, 3, 0, 3, 2, 1, 2, 1, 0, 4, 2, 3, 0, 4, 2, 3, 0, 4, 0, 1, 3, 0, 1, 2, 4, 3, 3, 3, 3, 3, 1, 2, 2, 1, 2, 3, 1, 1, 4, 0, 1, 4, 0, 2, 1, 3, 0, 3, 3, 0, 1, 0, 4, 2, 0, 2, 4, 2, 0, 4, 1, 4, 4, 2, 0, 1, 3, 0, 1, 0, 3, 3, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 4, 2, 2, 0, 4, 4, 3, 3] pubkeycol1422 = [0, 2, 4, 0, 3, 3, 4, 0, 4, 2, 3, 3, 0, 2, 3, 3, 3, 4, 1, 0, 4, 0, 3, 4, 4, 3, 0, 2, 1, 2, 4, 3, 1, 2, 4, 4, 4, 3, 0, 2, 4, 0, 0, 2, 1, 3, 2, 1, 3, 3, 3, 1, 1, 3, 0, 2, 2, 3, 3, 0, 4, 3, 1, 4, 0, 2, 4, 1, 3, 0, 4, 2, 4, 2, 1, 3, 2, 1, 2, 1, 2, 1, 1, 1, 3, 3, 4, 4, 2, 2, 0, 3, 4, 4, 3, 4, 0, 4, 3, 2, 2, 1, 0, 4, 1, 1, 0, 3, 0, 4, 3, 3, 2, 4, 0, 0, 0, 4, 0, 2, 3, 4, 4, 3, 1, 1, 2, 1, 3, 3, 0, 3, 1, 2, 2, 0, 2, 2, 2, 1, 4, 0, 2, 3, 0, 2, 3, 1, 1, 1, 3, 2, 2, 0, 3, 1, 1, 3, 1, 3, 3, 0, 1, 2, 0, 2, 4, 1, 0, 3, 0, 0, 1, 0, 1, 3, 1, 2, 1, 4, 1, 2, 3, 0, 4, 2, 4, 4, 4, 0, 4, 0, 1, 2, 2, 3, 4, 0, 3, 2, 4, 2, 2, 3, 0, 4, 4, 2, 1, 1, 0, 0, 1, 1, 1, 4, 3, 0, 1, 3, 2, 0, 4, 1, 4, 4, 4, 4, 2, 4, 1, 4, 3, 4, 3, 1, 4, 1, 3, 3, 3, 0, 0, 0, 3, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 4, 1, 1, 4, 3, 3, 3, 2, 1, 3, 4, 3, 3, 0, 1, 2, 4, 1, 2, 1, 3, 3, 3, 4, 4, 2, 1, 0, 0, 3, 0, 3, 0, 4, 0, 2, 1, 3, 4, 4, 0, 0, 3, 3, 2, 0, 4, 0, 4, 1, 0, 0, 4, 2, 1, 1, 0, 2, 1, 3, 4, 2, 2] pubkeycol1423 = [2, 4, 1, 0, 1, 0, 1, 1, 4, 2, 4, 2, 2, 3, 0, 4, 3, 1, 3, 4, 4, 4, 0, 1, 1, 3, 4, 1, 4, 2, 3, 1, 4, 3, 0, 1, 2, 2, 1, 2, 0, 3, 4, 1, 0, 1, 4, 3, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 4, 0, 1, 2, 0, 1, 3, 1, 1, 2, 4, 2, 3, 1, 3, 2, 4, 0, 4, 2, 4, 3, 1, 4, 4, 2, 0, 4, 1, 1, 0, 4, 4, 1, 4, 0, 0, 0, 1, 2, 0, 1, 1, 3, 3, 4, 2, 1, 2, 3, 0, 2, 0, 4, 2, 1, 4, 0, 3, 3, 4, 0, 2, 4, 2, 2, 3, 4, 2, 4, 3, 2, 3, 0, 2, 0, 3, 2, 3, 4, 1, 4, 4, 2, 3, 0, 2, 4, 4, 2, 4, 0, 0, 1, 1, 4, 0, 2, 4, 4, 1, 3, 1, 4, 0, 2, 1, 1, 1, 2, 2, 0, 3, 2, 0, 4, 2, 3, 0, 3, 1, 3, 4, 2, 4, 2, 2, 3, 0, 0, 3, 0, 1, 4, 1, 0, 2, 3, 2, 1, 0, 2, 2, 2, 1, 3, 1, 0, 4, 3, 2, 2, 2, 2, 0, 2, 2, 4, 3, 0, 2, 1, 1, 0, 1, 4, 2, 0, 4, 0, 2, 3, 0, 3, 0, 4, 2, 4, 4, 3, 4, 2, 4, 2, 4, 4, 2, 4, 2, 2, 3, 2, 2, 4, 2, 4, 2, 2, 1, 3, 2, 0, 1, 3, 1, 3, 3, 2, 1, 2, 0, 4, 0, 3, 3, 1, 1, 3, 4, 0, 3, 0, 0, 1, 0, 4, 4, 0, 2, 1, 4, 4, 4, 4, 1, 1, 0, 1, 2, 0, 2, 1, 2, 3, 0, 4, 3, 3, 4, 4, 4, 2, 0, 2, 0, 1, 3] pubkeycol1424 = [2, 2, 1, 0, 0, 2, 3, 4, 2, 3, 2, 1, 2, 3, 0, 1, 3, 1, 3, 3, 1, 3, 1, 1, 4, 3, 0, 0, 0, 4, 1, 0, 4, 0, 2, 1, 1, 4, 4, 0, 1, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 2, 4, 3, 4, 3, 0, 1, 4, 1, 1, 4, 1, 2, 2, 1, 4, 1, 2, 1, 1, 1, 3, 3, 0, 2, 4, 2, 0, 4, 3, 3, 4, 2, 2, 0, 1, 2, 2, 3, 0, 4, 0, 3, 1, 1, 0, 0, 3, 4, 0, 4, 4, 1, 1, 2, 0, 1, 4, 1, 0, 2, 3, 1, 4, 0, 1, 0, 3, 3, 0, 4, 1, 2, 1, 1, 1, 4, 0, 1, 2, 4, 4, 3, 0, 3, 2, 0, 4, 4, 2, 0, 4, 0, 0, 3, 3, 2, 0, 3, 0, 3, 0, 3, 2, 2, 0, 4, 4, 3, 1, 0, 3, 1, 1, 3, 4, 4, 4, 4, 4, 0, 1, 3, 2, 4, 2, 3, 4, 2, 2, 3, 0, 1, 4, 1, 0, 2, 3, 0, 2, 1, 1, 0, 1, 1, 4, 0, 0, 1, 1, 0, 2, 4, 0, 0, 4, 0, 2, 0, 0, 3, 3, 0, 1, 0, 0, 4, 1, 0, 0, 3, 1, 2, 4, 4, 2, 4, 2, 3, 3, 0, 1, 0, 2, 3, 4, 1, 3, 2, 2, 4, 3, 1, 3, 3, 0, 4, 4, 4, 4, 1, 2, 4, 2, 2, 3, 0, 2, 3, 0, 2, 4, 4, 1, 2, 4, 1, 2, 3, 4, 2, 0, 1, 1, 3, 2, 3, 2, 2, 4, 1, 1, 0, 2, 1, 2, 1, 3, 0, 1, 2, 1, 3, 2, 4, 0, 4, 2, 1, 4, 0, 1, 3, 0, 2, 4, 0, 1, 3, 0, 1, 3, 3, 2, 0, 4, 0, 4, 0] pubkeycol1425 = [4, 1, 2, 1, 2, 3, 3, 4, 2, 1, 0, 1, 0, 0, 2, 3, 0, 2, 0, 2, 2, 1, 2, 2, 4, 2, 3, 3, 3, 1, 1, 0, 0, 1, 3, 0, 0, 4, 1, 3, 1, 3, 2, 3, 2, 0, 0, 3, 4, 4, 2, 2, 0, 1, 1, 1, 1, 1, 4, 4, 4, 2, 0, 4, 1, 0, 2, 0, 1, 1, 0, 2, 0, 4, 3, 4, 2, 3, 3, 2, 2, 2, 4, 0, 2, 2, 0, 4, 4, 3, 1, 1, 3, 0, 2, 0, 0, 1, 0, 4, 1, 0, 4, 3, 3, 1, 1, 3, 0, 0, 1, 4, 2, 2, 1, 0, 3, 4, 0, 4, 4, 2, 1, 0, 4, 4, 3, 2, 2, 4, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 4, 3, 0, 2, 4, 0, 1, 2, 0, 3, 3, 1, 4, 2, 1, 1, 4, 2, 0, 3, 3, 4, 0, 0, 1, 2, 1, 3, 4, 2, 2, 0, 0, 2, 3, 3, 3, 4, 3, 4, 4, 3, 1, 2, 4, 2, 1, 0, 3, 1, 2, 4, 2, 0, 1, 0, 3, 4, 0, 3, 3, 3, 4, 3, 3, 3, 4, 2, 0, 1, 0, 4, 1, 0, 3, 1, 1, 4, 1, 3, 1, 0, 4, 0, 2, 3, 3, 3, 3, 3, 2, 1, 4, 1, 2, 4, 1, 1, 2, 3, 2, 3, 3, 4, 3, 1, 3, 2, 2, 4, 3, 0, 2, 2, 0, 3, 1, 4, 4, 0, 3, 2, 2, 3, 2, 2, 0, 1, 3, 1, 0, 2, 3, 0, 4, 0, 1, 3, 4, 1, 2, 3, 1, 3, 1, 4, 4, 0, 3, 4, 1, 1, 0, 0, 3, 0, 1, 4, 0, 4, 3, 1, 3, 2, 4, 3, 3, 2, 1, 3, 4, 2, 1, 1, 2, 2, 2, 4, 0, 4] pubkeycol1426 = [1, 1, 2, 3, 2, 0, 4, 0, 0, 2, 3, 3, 4, 2, 4, 2, 4, 3, 2, 2, 4, 0, 3, 1, 4, 2, 1, 3, 3, 3, 3, 3, 0, 0, 3, 4, 0, 4, 2, 1, 3, 0, 1, 3, 0, 4, 3, 2, 2, 3, 3, 4, 0, 2, 3, 1, 2, 3, 3, 2, 4, 4, 2, 2, 4, 2, 2, 3, 0, 2, 0, 4, 1, 3, 3, 3, 0, 1, 4, 0, 0, 2, 0, 4, 3, 4, 2, 1, 0, 0, 1, 3, 4, 3, 2, 4, 1, 1, 4, 0, 4, 4, 4, 3, 0, 1, 4, 1, 0, 2, 0, 4, 2, 2, 4, 4, 1, 0, 2, 2, 3, 2, 3, 0, 2, 1, 0, 2, 2, 0, 1, 2, 4, 3, 3, 2, 1, 4, 0, 3, 3, 1, 4, 3, 0, 1, 1, 2, 2, 4, 2, 2, 0, 4, 1, 0, 4, 0, 2, 3, 2, 1, 1, 4, 2, 4, 2, 3, 0, 4, 0, 0, 3, 3, 2, 0, 1, 1, 4, 1, 0, 2, 0, 4, 0, 1, 3, 2, 4, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 1, 2, 3, 3, 0, 1, 2, 0, 3, 0, 1, 1, 1, 1, 0, 4, 1, 2, 2, 4, 3, 3, 1, 0, 1, 1, 2, 4, 2, 1, 3, 2, 3, 4, 3, 0, 4, 3, 0, 2, 1, 4, 1, 1, 1, 4, 1, 4, 1, 3, 2, 0, 0, 0, 1, 2, 4, 1, 1, 2, 1, 3, 4, 0, 0, 3, 4, 2, 0, 2, 1, 1, 2, 4, 4, 4, 2, 0, 4, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 2, 0, 3, 4, 3, 3, 3, 1, 0, 1, 2, 3, 1, 3, 1, 2, 2, 2, 0, 3, 4, 1, 0, 3, 4, 1, 3, 2, 4, 0, 3] pubkeycol1427 = [4, 4, 4, 0, 4, 3, 0, 1, 1, 3, 3, 1, 1, 4, 1, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 3, 4, 0, 1, 3, 0, 3, 1, 1, 3, 0, 2, 3, 2, 2, 1, 4, 3, 0, 3, 4, 3, 0, 1, 2, 0, 2, 2, 2, 3, 1, 1, 3, 3, 0, 2, 4, 1, 3, 1, 0, 3, 4, 4, 0, 3, 2, 1, 1, 1, 4, 3, 0, 1, 1, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 2, 3, 3, 0, 1, 0, 1, 0, 3, 3, 3, 2, 2, 4, 0, 4, 1, 0, 3, 3, 2, 3, 2, 1, 0, 3, 4, 4, 2, 2, 4, 2, 1, 0, 3, 1, 0, 0, 0, 3, 1, 4, 1, 4, 4, 0, 0, 4, 3, 0, 4, 0, 0, 0, 2, 0, 0, 4, 2, 3, 4, 1, 2, 0, 0, 2, 4, 1, 2, 2, 0, 4, 2, 2, 2, 2, 4, 0, 0, 4, 3, 3, 0, 1, 4, 2, 3, 2, 4, 0, 3, 3, 3, 1, 1, 3, 3, 2, 1, 4, 1, 0, 1, 3, 0, 3, 0, 1, 2, 4, 3, 4, 4, 3, 0, 3, 4, 1, 4, 3, 2, 4, 3, 2, 0, 2, 2, 0, 0, 3, 1, 4, 1, 2, 4, 0, 1, 2, 4, 2, 0, 2, 4, 1, 1, 4, 4, 4, 3, 1, 4, 2, 1, 3, 1, 3, 1, 0, 4, 0, 1, 4, 0, 4, 3, 2, 1, 1, 4, 0, 4, 1, 2, 4, 3, 1, 0, 1, 4, 0, 1, 3, 4, 1, 1, 1, 4, 2, 2, 0, 4, 1, 2, 2, 2, 3, 3, 2, 1, 4, 1, 1, 4, 0, 1, 3, 2, 3, 4, 2, 0, 4, 4, 0, 2, 4, 2, 0, 3, 0, 1, 0, 0, 3, 1, 0, 4, 1, 0] pubkeycol1428 = [4, 2, 0, 2, 1, 0, 3, 4, 3, 4, 3, 2, 0, 4, 0, 1, 3, 1, 1, 1, 4, 1, 0, 0, 4, 3, 3, 0, 0, 4, 3, 1, 1, 0, 1, 0, 2, 3, 3, 3, 1, 2, 3, 3, 4, 3, 1, 4, 0, 4, 4, 0, 0, 2, 3, 1, 4, 1, 1, 1, 1, 2, 4, 2, 3, 3, 2, 4, 0, 0, 0, 3, 4, 2, 3, 0, 3, 0, 0, 4, 1, 2, 4, 1, 4, 0, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 0, 4, 3, 4, 0, 2, 2, 2, 0, 3, 1, 0, 3, 3, 1, 0, 1, 0, 2, 4, 1, 0, 3, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 4, 0, 0, 2, 4, 4, 0, 0, 2, 0, 4, 0, 3, 1, 1, 3, 2, 0, 0, 4, 3, 0, 4, 0, 4, 4, 4, 1, 3, 1, 4, 4, 2, 3, 1, 1, 1, 3, 0, 3, 0, 0, 4, 0, 2, 3, 4, 1, 0, 4, 3, 1, 4, 2, 0, 4, 0, 2, 0, 2, 0, 4, 0, 0, 2, 3, 1, 2, 2, 1, 4, 3, 4, 2, 0, 4, 0, 3, 0, 4, 3, 2, 3, 1, 2, 4, 4, 3, 4, 1, 0, 3, 2, 2, 1, 4, 2, 0, 0, 1, 4, 1, 0, 4, 2, 0, 0, 4, 2, 4, 4, 4, 2, 4, 4, 1, 0, 1, 4, 1, 3, 0, 0, 3, 0, 2, 3, 1, 2, 0, 1, 1, 3, 2, 2, 2, 4, 3, 2, 4, 2, 0, 3, 3, 1, 2, 4, 2, 3, 4, 1, 1, 2, 0, 2, 2, 4, 4, 2, 3, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 4, 1, 1, 4, 3, 3, 1, 3, 4, 1, 4, 1] pubkeycol1429 = [0, 3, 2, 4, 1, 0, 3, 0, 4, 4, 2, 3, 2, 3, 3, 4, 2, 3, 4, 0, 3, 4, 4, 1, 1, 0, 2, 0, 2, 0, 3, 4, 2, 3, 1, 2, 3, 0, 0, 1, 4, 3, 3, 0, 0, 0, 1, 3, 1, 4, 0, 2, 0, 3, 3, 2, 1, 3, 3, 1, 3, 4, 3, 3, 2, 4, 1, 4, 2, 3, 2, 3, 4, 3, 1, 0, 0, 4, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 3, 3, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 4, 0, 1, 0, 3, 2, 4, 0, 1, 3, 3, 1, 3, 1, 1, 0, 1, 0, 3, 3, 2, 4, 3, 2, 0, 0, 3, 2, 0, 3, 2, 1, 3, 4, 1, 4, 4, 1, 3, 0, 0, 1, 1, 1, 1, 0, 3, 4, 2, 4, 4, 0, 1, 4, 2, 1, 1, 1, 2, 1, 1, 4, 3, 0, 2, 1, 0, 2, 1, 3, 1, 4, 4, 1, 2, 3, 1, 0, 2, 3, 2, 0, 2, 3, 0, 2, 0, 0, 2, 1, 1, 3, 3, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 0, 3, 2, 2, 3, 0, 2, 4, 2, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 3, 4, 0, 0, 3, 3, 3, 4, 1, 2, 2, 0, 4, 2, 4, 3, 1, 0, 2, 3, 0, 4, 4, 3, 4, 3, 4, 3, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 0, 0, 2, 0, 1, 2, 4, 3, 1, 1, 4, 1, 1, 0, 0, 2, 4, 2, 1, 0, 2, 3, 4, 0, 1, 1, 3, 4, 2, 1, 4, 0, 2, 4, 2, 1, 4, 0, 1, 0, 4, 1, 2, 2, 3, 3, 0, 2, 3, 3, 0, 2, 1, 1] pubkeycol1430 = [0, 4, 0, 4, 1, 2, 1, 0, 1, 3, 1, 2, 2, 1, 1, 2, 1, 0, 3, 3, 0, 3, 0, 4, 0, 0, 3, 4, 3, 3, 4, 3, 4, 3, 3, 1, 0, 1, 3, 4, 2, 2, 1, 2, 3, 3, 3, 4, 4, 0, 2, 1, 0, 4, 2, 0, 2, 0, 1, 0, 3, 1, 4, 3, 2, 2, 4, 2, 0, 1, 3, 2, 0, 4, 1, 4, 4, 3, 3, 2, 1, 0, 3, 1, 3, 1, 4, 0, 1, 4, 3, 4, 4, 1, 3, 0, 2, 4, 3, 4, 1, 1, 3, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 4, 3, 1, 1, 1, 0, 2, 2, 0, 0, 3, 2, 3, 3, 2, 2, 3, 3, 1, 1, 2, 2, 2, 2, 2, 3, 0, 3, 3, 0, 0, 0, 1, 2, 0, 0, 3, 0, 4, 4, 2, 1, 3, 3, 3, 1, 2, 1, 2, 4, 3, 2, 3, 0, 0, 1, 0, 2, 4, 2, 1, 0, 0, 4, 0, 0, 3, 2, 2, 1, 4, 0, 2, 3, 1, 2, 1, 0, 2, 3, 2, 4, 1, 1, 2, 1, 2, 4, 3, 1, 3, 2, 4, 3, 1, 2, 1, 4, 2, 4, 1, 3, 1, 0, 2, 3, 3, 4, 0, 4, 1, 3, 4, 0, 3, 2, 3, 4, 2, 3, 0, 0, 3, 1, 4, 3, 0, 2, 4, 2, 3, 2, 3, 0, 4, 0, 4, 1, 1, 0, 0, 4, 3, 3, 3, 4, 1, 3, 4, 4, 0, 1, 3, 0, 2, 1, 2, 3, 2, 2, 4, 3, 2, 2, 0, 2, 3, 2, 4, 1, 2, 4, 4, 0, 3, 3, 1, 0, 3, 2, 0, 2, 3, 4, 3, 1, 4, 1, 0, 3, 0, 3, 3, 1, 3, 4, 3, 1, 1, 0, 4, 1, 4, 2, 1, 1, 1] pubkeycol1431 = [0, 4, 0, 0, 1, 2, 1, 4, 3, 3, 4, 2, 4, 2, 3, 3, 3, 1, 2, 0, 2, 0, 1, 3, 2, 4, 4, 1, 4, 3, 4, 1, 2, 1, 2, 0, 3, 1, 4, 4, 4, 1, 4, 2, 3, 1, 3, 1, 0, 1, 4, 2, 4, 4, 2, 4, 2, 3, 0, 4, 4, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 1, 4, 4, 4, 2, 1, 3, 0, 3, 4, 4, 2, 0, 3, 1, 1, 4, 1, 2, 2, 2, 4, 2, 3, 1, 0, 0, 1, 4, 2, 0, 4, 0, 3, 2, 1, 3, 4, 4, 0, 4, 3, 2, 3, 3, 2, 2, 1, 3, 0, 0, 4, 4, 3, 4, 3, 2, 4, 1, 0, 0, 1, 2, 3, 0, 3, 3, 2, 0, 1, 0, 0, 0, 3, 1, 2, 3, 2, 1, 1, 2, 3, 0, 0, 4, 2, 1, 1, 1, 2, 0, 1, 0, 1, 4, 4, 4, 1, 0, 2, 2, 3, 3, 4, 2, 2, 2, 4, 3, 1, 1, 1, 4, 2, 3, 2, 4, 4, 4, 1, 3, 1, 2, 0, 4, 0, 0, 3, 1, 3, 1, 0, 4, 1, 3, 1, 0, 3, 1, 0, 0, 0, 3, 3, 2, 4, 0, 4, 3, 2, 0, 2, 0, 1, 2, 4, 0, 0, 4, 1, 2, 1, 4, 3, 0, 1, 4, 3, 1, 4, 4, 3, 3, 1, 3, 2, 1, 4, 0, 3, 1, 1, 3, 2, 4, 4, 3, 2, 3, 2, 0, 2, 3, 1, 3, 3, 1, 2, 2, 4, 4, 2, 0, 3, 1, 0, 1, 1, 0, 2, 2, 0, 3, 2, 4, 3, 1, 1, 4, 2, 2, 4, 4, 4, 3, 2, 3, 1, 3, 0, 4, 0, 2, 3, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 3, 1, 0, 0, 3] pubkeycol1432 = [1, 4, 3, 4, 1, 2, 3, 1, 3, 3, 3, 1, 3, 2, 1, 0, 2, 1, 3, 1, 1, 2, 4, 2, 0, 2, 4, 0, 3, 3, 4, 2, 4, 4, 0, 0, 0, 0, 1, 0, 3, 2, 4, 4, 1, 0, 3, 2, 2, 0, 4, 2, 4, 4, 1, 1, 2, 3, 2, 0, 0, 1, 0, 1, 2, 1, 3, 0, 4, 2, 0, 2, 2, 4, 3, 0, 2, 1, 0, 3, 1, 3, 0, 0, 2, 0, 0, 4, 2, 1, 2, 4, 0, 4, 0, 2, 2, 0, 3, 0, 1, 2, 3, 0, 0, 1, 0, 1, 2, 4, 1, 0, 1, 2, 4, 0, 1, 2, 4, 1, 4, 2, 2, 3, 4, 2, 4, 2, 1, 3, 0, 3, 4, 2, 2, 4, 4, 0, 1, 0, 2, 0, 3, 1, 3, 1, 3, 0, 1, 3, 3, 1, 3, 0, 4, 2, 4, 1, 2, 2, 2, 1, 3, 0, 1, 0, 4, 3, 4, 0, 0, 1, 3, 0, 2, 4, 3, 3, 4, 1, 0, 3, 4, 3, 1, 1, 2, 4, 1, 2, 1, 1, 0, 0, 3, 2, 4, 3, 0, 2, 1, 0, 2, 4, 3, 1, 3, 2, 0, 2, 4, 4, 2, 2, 1, 4, 2, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 1, 2, 2, 3, 2, 2, 4, 1, 0, 4, 0, 2, 1, 3, 1, 4, 0, 4, 0, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 0, 3, 4, 3, 1, 1, 3, 3, 3, 2, 4, 0, 3, 3, 4, 0, 3, 1, 3, 4, 0, 4, 2, 4, 1, 3, 1, 0, 1, 3, 4, 0, 2, 2, 0, 2, 0, 3, 2, 4, 4, 3, 1, 3, 2, 2, 2, 1, 0, 4, 1, 0, 2, 0, 1, 4, 1, 4, 0, 0, 1, 1] pubkeycol1433 = [3, 0, 2, 2, 3, 0, 4, 1, 0, 4, 4, 2, 2, 3, 3, 1, 3, 0, 1, 2, 3, 3, 0, 4, 4, 3, 4, 2, 2, 2, 2, 1, 4, 0, 2, 2, 3, 0, 2, 2, 2, 0, 3, 1, 3, 2, 2, 0, 0, 3, 1, 2, 2, 1, 1, 2, 2, 0, 1, 4, 1, 2, 2, 3, 3, 0, 3, 1, 4, 4, 0, 3, 2, 0, 0, 2, 1, 2, 2, 4, 4, 4, 1, 3, 0, 0, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 4, 2, 0, 4, 2, 4, 3, 2, 2, 4, 1, 1, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 0, 4, 0, 2, 0, 2, 1, 0, 4, 4, 1, 3, 4, 4, 2, 1, 1, 2, 0, 3, 4, 0, 2, 4, 1, 0, 0, 2, 1, 0, 0, 4, 4, 0, 2, 2, 4, 2, 1, 1, 0, 0, 2, 4, 4, 1, 3, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 3, 0, 4, 1, 1, 3, 0, 2, 1, 1, 1, 3, 3, 4, 2, 2, 2, 2, 0, 4, 1, 2, 1, 1, 4, 4, 0, 0, 2, 1, 2, 0, 0, 4, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 4, 2, 0, 4, 1, 1, 2, 2, 4, 1, 3, 4, 2, 4, 1, 2, 0, 1, 0, 0, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 1, 2, 0, 2, 4, 4, 1, 3, 1, 2, 1, 0, 3, 0, 2, 1, 2, 1, 1, 0, 0, 4, 3, 4, 3, 1, 2, 0, 1, 2, 4, 1, 4, 4, 0, 3, 3, 2, 1, 3, 3, 2, 3, 2, 1, 4, 3, 1, 0, 4, 4, 3, 1, 4, 4, 4, 2, 1, 0, 4, 3, 0, 2, 1, 2, 2] pubkeycol1434 = [1, 1, 1, 3, 3, 4, 4, 2, 2, 4, 1, 3, 1, 2, 4, 1, 4, 3, 1, 0, 4, 2, 1, 4, 3, 3, 4, 4, 4, 2, 3, 4, 0, 1, 1, 2, 4, 2, 0, 1, 0, 2, 0, 4, 4, 4, 2, 0, 4, 0, 3, 1, 4, 0, 1, 3, 1, 2, 1, 1, 3, 0, 0, 4, 0, 4, 2, 3, 2, 2, 1, 3, 2, 2, 2, 1, 4, 3, 3, 4, 1, 0, 1, 4, 2, 1, 3, 4, 1, 0, 0, 3, 0, 2, 4, 2, 0, 0, 4, 0, 1, 2, 2, 3, 2, 1, 2, 3, 4, 1, 0, 2, 2, 2, 2, 3, 1, 2, 2, 2, 1, 4, 3, 0, 4, 1, 2, 3, 1, 4, 3, 4, 2, 3, 2, 2, 4, 2, 3, 0, 4, 3, 4, 0, 2, 2, 4, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 3, 0, 3, 1, 3, 3, 3, 4, 0, 3, 1, 0, 2, 2, 1, 4, 1, 1, 4, 1, 4, 1, 3, 0, 0, 2, 3, 0, 3, 2, 4, 1, 2, 0, 4, 2, 4, 4, 2, 4, 2, 3, 3, 1, 2, 0, 2, 4, 1, 3, 2, 3, 1, 4, 0, 1, 4, 2, 4, 0, 1, 2, 3, 4, 3, 1, 4, 4, 1, 3, 4, 2, 0, 4, 3, 3, 3, 2, 3, 1, 0, 4, 4, 4, 3, 4, 3, 2, 2, 2, 3, 3, 2, 3, 0, 2, 1, 0, 4, 3, 1, 4, 0, 0, 3, 1, 3, 2, 2, 4, 1, 3, 1, 4, 3, 1, 4, 4, 1, 2, 0, 4, 3, 3, 3, 0, 2, 2, 4, 2, 3, 4, 2, 1, 3, 4, 2, 2, 2, 1, 3, 1, 1, 1, 0, 2, 3, 0, 4, 2, 0, 4, 2, 3, 2, 0, 2, 4, 1, 4, 1, 2, 2] pubkeycol1435 = [1, 2, 4, 4, 2, 0, 2, 3, 2, 3, 4, 4, 2, 0, 4, 3, 0, 2, 1, 3, 0, 1, 2, 0, 4, 1, 3, 0, 0, 0, 1, 0, 0, 2, 4, 2, 1, 2, 1, 4, 3, 4, 3, 3, 0, 0, 2, 2, 1, 2, 4, 2, 0, 1, 3, 0, 4, 1, 2, 2, 0, 2, 2, 4, 0, 1, 4, 2, 2, 1, 2, 4, 0, 1, 2, 0, 1, 0, 3, 2, 4, 0, 1, 3, 4, 4, 4, 3, 2, 2, 4, 3, 1, 4, 4, 1, 3, 2, 1, 4, 0, 0, 3, 0, 4, 0, 3, 0, 3, 2, 0, 4, 3, 4, 0, 4, 0, 4, 1, 3, 3, 2, 1, 0, 3, 2, 2, 1, 0, 0, 2, 0, 3, 0, 1, 2, 1, 2, 1, 0, 0, 2, 3, 0, 2, 4, 2, 4, 1, 1, 2, 1, 2, 4, 0, 2, 1, 0, 1, 0, 0, 3, 1, 3, 0, 1, 3, 1, 2, 4, 2, 2, 3, 3, 2, 2, 1, 1, 2, 0, 3, 4, 3, 2, 0, 0, 4, 2, 3, 2, 3, 2, 1, 4, 2, 1, 4, 2, 1, 4, 0, 3, 3, 3, 1, 0, 0, 2, 3, 4, 4, 3, 2, 1, 1, 3, 2, 2, 1, 1, 4, 0, 4, 1, 0, 0, 2, 1, 0, 2, 4, 1, 0, 4, 2, 1, 1, 4, 3, 2, 0, 1, 2, 3, 2, 4, 3, 0, 1, 4, 4, 1, 0, 2, 3, 2, 0, 3, 0, 1, 4, 3, 0, 0, 3, 3, 2, 0, 1, 3, 0, 3, 4, 0, 2, 3, 4, 1, 1, 1, 2, 1, 0, 4, 1, 1, 3, 1, 0, 1, 4, 4, 1, 3, 2, 1, 0, 0, 0, 2, 3, 2, 3, 4, 3, 2, 3, 2, 2, 3, 3, 4, 1, 4, 2, 2, 1, 3, 2, 4] pubkeycol1436 = [1, 0, 1, 4, 2, 1, 3, 0, 4, 2, 0, 2, 1, 2, 3, 1, 1, 2, 4, 3, 1, 2, 2, 2, 4, 0, 4, 3, 2, 2, 4, 2, 3, 1, 4, 2, 1, 2, 1, 1, 0, 0, 3, 1, 2, 4, 1, 4, 3, 4, 0, 1, 4, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 0, 4, 3, 4, 0, 4, 0, 1, 0, 4, 0, 3, 2, 1, 2, 3, 4, 4, 2, 0, 2, 1, 4, 4, 4, 4, 4, 1, 2, 1, 1, 3, 4, 1, 0, 1, 1, 2, 2, 4, 1, 4, 2, 0, 2, 0, 1, 2, 1, 2, 3, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 4, 3, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 3, 1, 1, 4, 1, 3, 2, 4, 4, 4, 0, 0, 0, 4, 0, 1, 4, 3, 4, 1, 3, 3, 4, 2, 3, 4, 2, 0, 4, 4, 3, 2, 0, 1, 1, 2, 1, 0, 0, 4, 0, 3, 2, 4, 1, 2, 0, 1, 4, 2, 4, 0, 4, 2, 1, 3, 1, 1, 0, 0, 2, 3, 2, 0, 1, 4, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 3, 3, 4, 1, 3, 1, 3, 4, 1, 1, 0, 2, 0, 2, 1, 3, 4, 2, 4, 0, 4, 3, 2, 4, 3, 0, 1, 4, 1, 4, 1, 3, 3, 4, 4, 3, 1, 1, 0, 3, 2, 4, 4, 4, 2, 4, 1, 2, 0, 0, 1, 3, 0, 2, 4, 4, 1, 0, 3, 0, 4, 2, 1, 0, 2, 4, 2, 2, 2, 3, 1, 3, 4, 0, 1, 4, 1, 1, 1, 1, 3, 3, 2, 2, 1, 1, 1, 0, 3, 4, 4, 4, 1, 3, 4, 1, 2, 3, 0, 3, 0, 3, 4] pubkeycol1437 = [3, 0, 3, 2, 1, 1, 2, 0, 2, 0, 4, 0, 0, 4, 3, 1, 4, 1, 1, 1, 4, 2, 2, 3, 4, 0, 0, 0, 2, 3, 1, 4, 2, 2, 3, 0, 1, 2, 3, 1, 3, 4, 0, 1, 4, 2, 1, 2, 0, 1, 4, 0, 0, 1, 0, 2, 3, 3, 4, 1, 1, 2, 3, 3, 2, 1, 2, 4, 4, 4, 1, 3, 2, 2, 3, 1, 0, 4, 4, 0, 4, 1, 0, 0, 3, 4, 3, 0, 4, 1, 3, 2, 3, 1, 4, 3, 1, 2, 4, 3, 1, 4, 2, 0, 4, 1, 2, 4, 3, 3, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 3, 0, 4, 4, 2, 3, 2, 3, 0, 2, 4, 1, 0, 2, 1, 0, 3, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 3, 2, 4, 0, 3, 3, 1, 0, 0, 0, 4, 4, 2, 2, 1, 1, 3, 4, 0, 0, 4, 4, 2, 3, 3, 1, 3, 4, 0, 4, 1, 3, 1, 1, 0, 2, 4, 3, 1, 3, 0, 2, 3, 0, 2, 2, 2, 3, 4, 1, 3, 1, 1, 4, 3, 3, 3, 4, 2, 1, 4, 2, 0, 4, 3, 2, 3, 1, 0, 3, 1, 3, 4, 2, 2, 3, 1, 4, 1, 0, 1, 1, 4, 3, 0, 1, 4, 1, 0, 2, 0, 3, 2, 0, 4, 0, 4, 2, 4, 4, 1, 2, 2, 1, 2, 4, 2, 1, 4, 2, 3, 0, 1, 0, 3, 1, 2, 1, 4, 0, 2, 1, 3, 4, 0, 1, 2, 4, 0, 1, 2, 0, 0, 3, 1, 3, 4, 3, 1, 0, 3, 3, 0, 0, 0, 4, 1, 1, 0, 3, 2, 0, 3, 4, 1, 1, 4, 0, 3, 1, 4, 3, 4, 4, 1, 4, 3, 3, 4] pubkeycol1438 = [0, 0, 4, 0, 2, 1, 1, 2, 0, 1, 4, 2, 2, 0, 0, 3, 0, 1, 3, 3, 3, 0, 4, 4, 3, 2, 2, 0, 1, 4, 1, 3, 1, 1, 2, 3, 2, 0, 2, 2, 3, 2, 3, 2, 0, 0, 1, 1, 3, 3, 2, 4, 3, 0, 2, 2, 0, 4, 4, 1, 3, 2, 1, 2, 2, 4, 4, 2, 2, 2, 1, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 4, 4, 1, 4, 2, 4, 2, 2, 2, 1, 2, 0, 3, 1, 0, 4, 3, 2, 2, 2, 0, 3, 2, 1, 2, 1, 1, 0, 3, 1, 0, 3, 3, 3, 4, 1, 2, 2, 2, 2, 0, 0, 4, 0, 3, 1, 4, 2, 0, 4, 1, 2, 3, 3, 4, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 4, 1, 4, 4, 2, 4, 2, 3, 0, 0, 3, 0, 1, 2, 1, 2, 1, 3, 3, 1, 0, 3, 4, 2, 2, 3, 1, 4, 4, 0, 0, 2, 3, 0, 2, 0, 3, 1, 3, 2, 4, 2, 3, 2, 1, 1, 3, 4, 2, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 4, 4, 4, 2, 4, 0, 0, 4, 4, 4, 4, 1, 1, 0, 0, 0, 4, 4, 0, 2, 4, 3, 3, 2, 4, 4, 1, 2, 3, 0, 1, 4, 4, 2, 2, 0, 2, 0, 0, 4, 0, 2, 4, 3, 4, 1, 2, 1, 4, 0, 1, 0, 0, 4, 1, 1, 4, 1, 1, 0, 4, 4, 4, 1, 1, 1, 3, 4, 4, 2, 2, 1, 2, 1, 0, 3, 0, 3, 1, 2, 1, 2, 0, 4, 1, 3, 2, 2, 0, 4, 4, 0, 4, 0, 0, 3, 3, 4, 0, 3, 4, 2, 0, 1, 3, 0, 2, 0, 4, 4, 2, 1, 3, 3] pubkeycol1439 = [0, 1, 0, 0, 1, 0, 4, 4, 0, 2, 0, 4, 1, 2, 2, 0, 4, 4, 1, 4, 4, 2, 0, 4, 4, 1, 3, 1, 2, 1, 3, 2, 2, 4, 4, 0, 1, 0, 4, 3, 4, 1, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 4, 2, 2, 0, 1, 0, 2, 0, 1, 0, 3, 0, 0, 2, 2, 0, 3, 3, 4, 1, 2, 0, 4, 1, 0, 2, 2, 4, 3, 4, 0, 0, 2, 0, 0, 1, 3, 2, 1, 0, 2, 4, 3, 0, 1, 1, 3, 4, 1, 2, 4, 0, 3, 3, 4, 3, 0, 1, 3, 0, 0, 3, 2, 0, 1, 2, 2, 4, 1, 4, 1, 2, 0, 0, 2, 1, 2, 3, 0, 3, 0, 3, 3, 2, 4, 1, 4, 1, 0, 4, 3, 1, 0, 1, 2, 3, 0, 1, 1, 0, 0, 3, 2, 2, 0, 1, 4, 4, 1, 1, 4, 4, 0, 0, 0, 4, 0, 0, 3, 1, 2, 0, 4, 3, 1, 4, 1, 0, 1, 0, 0, 4, 0, 2, 3, 2, 4, 2, 2, 1, 2, 4, 4, 2, 3, 4, 1, 4, 1, 0, 4, 3, 4, 1, 1, 4, 1, 4, 3, 1, 2, 4, 0, 0, 2, 4, 2, 0, 3, 3, 4, 2, 2, 0, 0, 4, 3, 0, 0, 2, 4, 2, 4, 0, 1, 1, 4, 1, 3, 4, 3, 0, 1, 0, 4, 2, 2, 1, 4, 4, 2, 3, 4, 2, 1, 1, 1, 2, 1, 3, 3, 4, 0, 3, 3, 2, 4, 0, 3, 0, 1, 3, 0, 3, 0, 3, 2, 4, 4, 4, 0, 2, 2, 3, 4, 2, 1, 0, 0, 2, 1, 0, 4, 1, 4, 3, 2, 3, 0, 3, 4, 4, 1, 1, 0, 4, 1, 1, 1, 3, 0, 3, 4, 4, 1, 3, 0, 2] pubkeycol1440 = [0, 1, 1, 3, 1, 4, 0, 0, 0, 1, 4, 2, 1, 1, 0, 1, 4, 3, 3, 0, 1, 1, 1, 2, 0, 2, 2, 3, 2, 2, 1, 0, 2, 2, 1, 3, 0, 4, 4, 1, 4, 1, 4, 1, 3, 4, 2, 0, 3, 0, 4, 4, 2, 0, 4, 4, 4, 4, 2, 4, 1, 1, 3, 1, 3, 1, 3, 0, 0, 0, 4, 4, 3, 2, 0, 4, 3, 2, 4, 4, 4, 4, 2, 1, 2, 2, 1, 2, 3, 4, 2, 1, 0, 3, 4, 0, 3, 3, 4, 4, 3, 2, 0, 0, 3, 1, 0, 3, 0, 0, 1, 1, 4, 0, 3, 4, 1, 1, 4, 4, 1, 2, 2, 2, 3, 4, 2, 1, 1, 2, 0, 4, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 3, 3, 2, 1, 3, 0, 2, 0, 0, 3, 3, 1, 2, 4, 0, 2, 4, 0, 0, 0, 1, 1, 2, 1, 4, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 4, 4, 3, 3, 2, 4, 1, 2, 2, 4, 0, 3, 3, 0, 1, 1, 4, 2, 1, 3, 1, 0, 3, 4, 0, 0, 0, 4, 3, 1, 3, 2, 1, 2, 1, 4, 1, 4, 0, 1, 2, 3, 0, 2, 0, 3, 0, 3, 0, 3, 1, 0, 1, 3, 3, 4, 0, 2, 0, 0, 3, 0, 4, 4, 0, 0, 0, 0, 3, 3, 1, 1, 3, 0, 2, 2, 0, 2, 3, 2, 4, 1, 4, 0, 2, 4, 0, 0, 3, 4, 0, 0, 3, 2, 4, 0, 0, 1, 0, 2, 3, 2, 4, 3, 0, 2, 1, 1, 0, 3, 3, 2, 2, 1, 1, 2, 2, 3, 3, 3, 4, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 4, 2, 4, 2, 4, 3, 2] pubkeycol1441 = [3, 4, 4, 0, 2, 1, 4, 3, 2, 2, 0, 3, 2, 4, 1, 1, 4, 4, 4, 0, 3, 2, 3, 2, 3, 3, 3, 1, 2, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 1, 3, 1, 3, 0, 1, 4, 3, 0, 3, 2, 4, 2, 0, 4, 1, 1, 1, 4, 2, 1, 1, 3, 3, 0, 3, 1, 1, 2, 0, 3, 1, 3, 3, 2, 3, 3, 1, 3, 4, 3, 0, 3, 0, 1, 1, 3, 4, 3, 2, 1, 0, 1, 0, 2, 3, 1, 0, 3, 0, 1, 2, 3, 4, 4, 0, 4, 0, 4, 2, 2, 4, 4, 3, 3, 4, 3, 1, 3, 0, 2, 1, 2, 2, 1, 3, 3, 4, 4, 2, 0, 4, 1, 1, 0, 2, 3, 0, 2, 0, 2, 0, 2, 4, 0, 0, 1, 3, 0, 4, 2, 4, 2, 2, 1, 1, 4, 1, 3, 4, 2, 0, 3, 4, 0, 4, 2, 3, 1, 1, 1, 2, 1, 2, 0, 4, 4, 0, 3, 0, 3, 4, 2, 2, 3, 4, 0, 1, 0, 1, 3, 2, 1, 2, 2, 3, 0, 3, 0, 3, 1, 4, 1, 2, 4, 4, 0, 3, 1, 2, 4, 0, 3, 3, 1, 3, 4, 3, 3, 2, 3, 4, 4, 1, 3, 3, 3, 1, 0, 1, 4, 0, 0, 4, 3, 2, 1, 3, 4, 1, 0, 4, 2, 1, 3, 0, 0, 2, 1, 0, 0, 0, 3, 1, 4, 0, 1, 2, 3, 0, 4, 0, 0, 4, 4, 2, 4, 2, 1, 4, 4, 1, 0, 4, 2, 1, 3, 0, 0, 0, 0, 2, 4, 1, 3, 2, 1, 3, 3, 3, 1, 4, 0, 2, 0, 4, 1, 0, 4, 4, 2, 1, 0, 4, 2, 4, 2, 0, 1, 4, 3, 0, 2, 3, 0, 1, 3, 4, 1, 4, 4] pubkeycol1442 = [0, 1, 0, 0, 1, 2, 4, 2, 2, 0, 2, 4, 3, 1, 2, 3, 4, 4, 2, 2, 0, 0, 4, 3, 4, 1, 1, 2, 2, 0, 1, 0, 0, 4, 2, 3, 4, 3, 2, 3, 4, 3, 3, 4, 4, 2, 0, 1, 1, 0, 2, 3, 0, 1, 0, 1, 3, 2, 1, 3, 1, 1, 3, 2, 0, 4, 4, 3, 4, 0, 3, 3, 2, 3, 2, 4, 1, 0, 0, 1, 2, 3, 0, 1, 0, 4, 0, 4, 0, 1, 0, 0, 2, 1, 2, 2, 0, 3, 3, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 4, 0, 0, 3, 2, 3, 1, 4, 2, 0, 4, 2, 4, 4, 3, 0, 0, 1, 4, 3, 0, 3, 4, 1, 2, 1, 4, 0, 2, 1, 0, 4, 3, 0, 3, 1, 1, 1, 4, 4, 3, 2, 4, 3, 3, 2, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 3, 4, 2, 1, 3, 0, 4, 3, 2, 1, 4, 1, 2, 4, 2, 4, 2, 2, 0, 3, 1, 2, 2, 0, 0, 1, 4, 4, 4, 0, 4, 4, 3, 1, 2, 1, 3, 0, 0, 4, 3, 3, 0, 4, 1, 3, 0, 0, 0, 2, 4, 4, 4, 4, 3, 0, 0, 0, 4, 2, 2, 1, 1, 4, 4, 1, 4, 2, 3, 2, 3, 3, 0, 1, 2, 3, 1, 1, 1, 2, 0, 2, 3, 3, 4, 1, 0, 1, 4, 3, 1, 3, 4, 1, 1, 2, 2, 2, 1, 0, 1, 4, 3, 3, 3, 0, 3, 4, 1, 3, 3, 4, 0, 4, 3, 3, 1, 0, 4, 0, 2, 1, 2, 3, 3, 3, 2, 3, 1, 0, 2, 4, 4, 0, 0, 0, 2, 3, 0, 0, 2, 3, 1, 3, 4, 0, 4, 0, 0, 3, 4, 2] pubkeycol1443 = [4, 0, 2, 3, 3, 4, 1, 1, 1, 1, 0, 3, 1, 1, 4, 4, 3, 0, 4, 4, 0, 4, 4, 3, 0, 3, 2, 1, 4, 2, 1, 0, 4, 1, 0, 2, 3, 1, 0, 3, 4, 3, 4, 1, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 4, 2, 3, 4, 1, 1, 2, 3, 0, 2, 0, 2, 0, 2, 1, 1, 0, 4, 2, 0, 1, 1, 2, 4, 1, 1, 3, 3, 1, 1, 1, 3, 2, 1, 1, 0, 1, 0, 0, 0, 3, 3, 1, 3, 0, 0, 0, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 4, 3, 1, 0, 4, 1, 1, 0, 1, 3, 3, 4, 4, 3, 3, 2, 1, 0, 0, 1, 0, 3, 4, 2, 4, 2, 0, 3, 3, 1, 2, 1, 2, 3, 0, 2, 3, 3, 0, 2, 2, 0, 0, 0, 3, 0, 2, 3, 2, 1, 0, 0, 3, 3, 3, 2, 3, 4, 0, 3, 4, 3, 4, 0, 3, 4, 2, 0, 1, 3, 0, 1, 4, 4, 3, 0, 0, 4, 2, 2, 3, 1, 3, 3, 1, 4, 1, 1, 4, 0, 1, 3, 2, 1, 2, 3, 4, 0, 1, 0, 1, 3, 1, 2, 2, 3, 0, 3, 2, 2, 1, 4, 3, 1, 4, 4, 2, 4, 4, 3, 1, 1, 2, 1, 3, 1, 0, 1, 1, 0, 2, 0, 3, 2, 4, 0, 2, 1, 2, 1, 3, 4, 0, 3, 1, 4, 0, 4, 1, 2, 4, 2, 3, 0, 1, 1, 3, 2, 0, 3, 3, 0, 1, 0, 1, 4, 3, 0, 4, 3, 0, 0, 4, 0, 2, 3, 3, 3, 4, 4, 2, 4, 2, 4, 1, 2, 2, 4, 4, 0, 0, 0, 4] pubkeycol1444 = [2, 4, 4, 2, 3, 2, 4, 2, 4, 0, 3, 1, 2, 2, 0, 1, 0, 2, 0, 3, 2, 3, 2, 1, 0, 2, 1, 2, 4, 0, 0, 2, 1, 3, 2, 2, 2, 3, 1, 4, 4, 1, 1, 0, 4, 1, 3, 0, 2, 1, 2, 1, 2, 0, 3, 2, 0, 0, 2, 3, 2, 2, 2, 4, 3, 3, 0, 4, 4, 4, 4, 2, 4, 1, 2, 2, 0, 0, 0, 0, 3, 0, 4, 0, 2, 2, 2, 2, 1, 1, 4, 0, 3, 2, 1, 3, 2, 3, 1, 4, 4, 4, 4, 3, 3, 4, 3, 3, 2, 4, 0, 2, 3, 2, 0, 4, 1, 4, 0, 0, 3, 0, 1, 2, 0, 2, 0, 0, 2, 4, 1, 3, 1, 4, 2, 4, 0, 3, 0, 3, 1, 0, 4, 2, 4, 0, 2, 0, 0, 0, 4, 2, 0, 3, 2, 4, 3, 0, 2, 4, 3, 4, 4, 3, 2, 2, 2, 2, 1, 0, 3, 4, 1, 1, 1, 0, 4, 1, 3, 1, 1, 0, 2, 3, 4, 1, 3, 2, 3, 0, 1, 2, 3, 2, 4, 1, 1, 0, 3, 0, 3, 2, 3, 2, 0, 0, 1, 0, 4, 4, 4, 0, 4, 1, 2, 1, 4, 3, 4, 2, 2, 2, 0, 2, 0, 3, 0, 0, 2, 3, 3, 0, 0, 3, 3, 2, 0, 4, 3, 0, 0, 3, 1, 0, 0, 2, 4, 4, 3, 3, 2, 1, 1, 2, 1, 2, 4, 4, 3, 3, 0, 0, 2, 2, 1, 3, 4, 4, 1, 1, 1, 3, 3, 3, 0, 4, 4, 4, 2, 3, 4, 4, 3, 4, 3, 1, 1, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 1, 4, 0, 2, 3, 2, 2, 3, 0, 1, 2, 3, 2, 0, 1, 4, 0, 2, 4, 1, 4, 0, 2] pubkeycol1445 = [4, 1, 1, 2, 2, 4, 3, 3, 2, 1, 0, 2, 4, 4, 2, 0, 1, 3, 2, 2, 2, 0, 1, 2, 3, 2, 2, 0, 3, 4, 4, 1, 1, 0, 4, 3, 4, 0, 3, 3, 1, 4, 4, 2, 1, 4, 3, 4, 4, 3, 4, 4, 1, 4, 0, 2, 3, 2, 3, 3, 1, 2, 4, 2, 4, 1, 0, 3, 1, 3, 4, 0, 3, 0, 1, 3, 4, 4, 0, 3, 2, 0, 3, 0, 0, 1, 4, 2, 1, 0, 0, 2, 4, 1, 0, 2, 0, 3, 0, 2, 1, 3, 2, 1, 4, 2, 1, 4, 4, 4, 4, 0, 1, 3, 0, 4, 4, 0, 0, 0, 2, 4, 1, 0, 1, 4, 3, 3, 4, 2, 4, 3, 3, 2, 1, 2, 4, 2, 0, 0, 3, 4, 1, 4, 0, 0, 1, 1, 3, 4, 4, 2, 0, 0, 1, 1, 2, 3, 3, 1, 4, 4, 0, 3, 1, 2, 2, 3, 3, 2, 2, 4, 3, 0, 2, 1, 4, 0, 0, 4, 2, 0, 1, 1, 3, 0, 0, 4, 1, 2, 0, 2, 4, 4, 3, 0, 2, 0, 2, 4, 2, 4, 1, 4, 4, 2, 3, 4, 4, 4, 3, 3, 4, 4, 3, 2, 0, 2, 4, 4, 3, 4, 0, 2, 0, 4, 0, 4, 4, 3, 2, 2, 4, 0, 2, 2, 3, 0, 0, 4, 1, 0, 0, 1, 3, 1, 1, 3, 1, 4, 2, 4, 1, 2, 4, 4, 4, 0, 1, 0, 0, 1, 4, 3, 2, 1, 0, 4, 4, 4, 1, 1, 0, 1, 3, 0, 2, 1, 3, 3, 2, 1, 3, 4, 1, 3, 2, 4, 1, 0, 3, 3, 4, 4, 2, 2, 0, 3, 0, 0, 1, 2, 2, 3, 3, 1, 2, 0, 3, 1, 2, 1, 3, 1, 1, 3, 1, 4, 1, 4] pubkeycol1446 = [1, 3, 2, 3, 3, 3, 2, 4, 2, 3, 1, 0, 2, 3, 0, 2, 1, 1, 4, 0, 1, 0, 2, 4, 4, 0, 4, 0, 0, 4, 0, 3, 1, 1, 4, 4, 1, 4, 3, 2, 2, 2, 2, 1, 4, 4, 2, 4, 2, 2, 1, 3, 1, 0, 4, 0, 0, 3, 3, 4, 1, 3, 1, 0, 2, 2, 2, 2, 0, 4, 0, 4, 0, 1, 0, 2, 2, 2, 3, 1, 2, 3, 1, 1, 0, 3, 3, 0, 3, 0, 4, 0, 4, 4, 1, 0, 0, 3, 3, 0, 4, 0, 1, 4, 3, 3, 0, 0, 1, 3, 3, 2, 1, 4, 3, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 0, 2, 3, 2, 1, 3, 3, 0, 2, 0, 0, 2, 3, 1, 3, 0, 4, 0, 1, 2, 0, 2, 1, 3, 2, 4, 2, 0, 3, 2, 0, 3, 1, 1, 1, 1, 4, 2, 1, 4, 4, 3, 0, 1, 1, 4, 1, 1, 4, 4, 4, 1, 3, 2, 3, 2, 0, 1, 3, 3, 3, 3, 2, 3, 2, 0, 3, 1, 1, 2, 0, 2, 0, 1, 4, 3, 3, 1, 4, 2, 1, 2, 1, 3, 3, 0, 1, 4, 2, 0, 3, 2, 1, 0, 3, 2, 1, 1, 3, 3, 1, 0, 1, 4, 0, 0, 0, 2, 0, 1, 3, 4, 2, 1, 2, 0, 4, 0, 0, 3, 2, 1, 4, 2, 0, 4, 1, 3, 3, 2, 0, 0, 1, 3, 0, 4, 2, 0, 1, 0, 3, 0, 3, 0, 4, 4, 2, 4, 2, 4, 3, 2, 4, 2, 0, 0, 0, 4, 4, 4, 3, 2, 1, 1, 3, 1, 0, 1, 0, 1, 2, 1, 3, 1, 4, 3, 0, 2, 1, 1, 2, 2, 3, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol1447 = [3, 2, 0, 0, 2, 2, 1, 3, 2, 0, 4, 0, 3, 1, 0, 4, 4, 1, 1, 3, 3, 4, 0, 2, 2, 2, 0, 1, 4, 2, 3, 2, 0, 4, 2, 4, 0, 0, 2, 3, 4, 0, 1, 2, 1, 4, 4, 1, 1, 2, 1, 4, 3, 2, 1, 3, 1, 1, 0, 1, 4, 3, 3, 4, 2, 3, 4, 1, 2, 0, 3, 4, 4, 0, 2, 3, 4, 3, 0, 4, 1, 0, 0, 1, 3, 3, 2, 1, 4, 1, 1, 4, 4, 3, 0, 4, 1, 4, 1, 1, 2, 3, 3, 2, 1, 0, 4, 1, 3, 1, 4, 3, 1, 1, 1, 1, 1, 4, 4, 1, 4, 1, 0, 1, 0, 2, 1, 0, 0, 4, 1, 4, 3, 2, 3, 0, 3, 2, 4, 2, 2, 3, 2, 2, 3, 4, 2, 4, 4, 1, 0, 2, 4, 0, 1, 4, 0, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 2, 1, 1, 1, 1, 0, 2, 3, 3, 4, 3, 0, 4, 1, 1, 3, 0, 0, 0, 4, 1, 4, 2, 2, 0, 2, 1, 3, 1, 0, 3, 1, 2, 0, 4, 1, 3, 3, 2, 4, 1, 3, 2, 3, 0, 4, 3, 3, 0, 2, 1, 4, 4, 2, 4, 3, 4, 3, 2, 2, 1, 3, 2, 4, 3, 3, 4, 0, 4, 1, 1, 0, 2, 1, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 2, 0, 1, 4, 0, 3, 1, 3, 2, 4, 4, 2, 3, 4, 1, 3, 3, 0, 0, 2, 0, 3, 3, 1, 0, 0, 2, 1, 3, 3, 0, 3, 3, 2, 0, 3, 2, 1, 2, 0, 0, 0, 3, 1, 0, 2, 0, 3, 1, 3, 0, 1, 1, 2, 2, 4, 1, 1, 2, 1, 0, 3, 1, 1, 1, 2, 4, 4, 4] pubkeycol1448 = [0, 2, 3, 0, 3, 0, 0, 4, 1, 1, 3, 4, 4, 4, 2, 4, 1, 3, 2, 1, 1, 2, 1, 2, 4, 0, 2, 4, 3, 1, 0, 4, 4, 2, 3, 3, 1, 1, 2, 4, 0, 0, 4, 4, 1, 0, 3, 1, 1, 4, 0, 3, 0, 0, 2, 0, 4, 3, 2, 4, 0, 2, 0, 3, 2, 3, 1, 4, 3, 1, 3, 0, 0, 0, 0, 4, 4, 0, 1, 0, 0, 0, 2, 0, 3, 0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 4, 1, 0, 1, 3, 4, 2, 0, 3, 3, 2, 3, 2, 1, 2, 1, 4, 2, 3, 1, 1, 3, 3, 1, 0, 2, 2, 3, 0, 3, 3, 0, 1, 1, 4, 2, 1, 3, 0, 4, 2, 2, 3, 4, 2, 4, 0, 1, 1, 2, 0, 0, 3, 1, 0, 0, 0, 4, 0, 3, 0, 4, 3, 3, 4, 1, 3, 3, 1, 4, 0, 0, 4, 0, 2, 3, 1, 2, 3, 2, 1, 4, 1, 3, 2, 1, 4, 2, 1, 0, 0, 3, 1, 0, 2, 1, 0, 3, 1, 4, 0, 3, 3, 4, 2, 3, 4, 0, 1, 4, 4, 2, 4, 0, 4, 0, 0, 4, 2, 0, 0, 3, 2, 1, 0, 2, 3, 1, 3, 1, 2, 4, 2, 2, 2, 2, 1, 1, 1, 3, 0, 0, 1, 0, 0, 0, 3, 0, 1, 3, 0, 0, 1, 1, 4, 2, 4, 4, 0, 4, 3, 3, 2, 3, 2, 0, 1, 4, 4, 4, 3, 3, 0, 1, 2, 4, 2, 1, 3, 1, 2, 1, 1, 0, 3, 4, 2, 4, 2, 4, 2, 2, 2, 4, 2, 1, 1, 1, 3, 4, 2, 0, 4, 4, 1, 2, 0, 0, 0, 4, 3, 1, 1, 4, 3, 3, 3, 2, 2, 2, 4, 4] pubkeycol1449 = [1, 4, 1, 4, 1, 4, 2, 0, 2, 2, 2, 3, 0, 2, 2, 2, 1, 1, 0, 0, 2, 3, 4, 3, 3, 1, 1, 3, 1, 3, 4, 2, 1, 0, 3, 2, 2, 4, 3, 4, 3, 3, 4, 2, 3, 2, 4, 1, 1, 1, 3, 3, 1, 4, 2, 3, 0, 1, 3, 3, 3, 1, 4, 3, 2, 2, 1, 4, 1, 2, 2, 3, 4, 1, 0, 3, 2, 4, 1, 2, 2, 3, 1, 4, 0, 0, 4, 1, 0, 3, 0, 1, 0, 0, 1, 4, 1, 3, 0, 1, 2, 4, 4, 3, 4, 3, 1, 4, 4, 4, 3, 1, 3, 1, 3, 0, 4, 2, 1, 2, 0, 2, 0, 4, 1, 1, 2, 2, 4, 4, 2, 1, 0, 0, 1, 2, 4, 2, 3, 3, 2, 0, 0, 1, 4, 4, 0, 3, 0, 3, 4, 2, 0, 1, 3, 3, 1, 2, 1, 0, 2, 2, 2, 4, 0, 4, 0, 2, 0, 0, 1, 4, 1, 2, 0, 2, 4, 4, 4, 4, 4, 1, 0, 3, 1, 3, 4, 2, 4, 0, 3, 1, 4, 1, 2, 0, 4, 3, 1, 0, 2, 0, 4, 4, 3, 0, 4, 2, 3, 4, 3, 0, 4, 0, 1, 2, 3, 0, 0, 0, 0, 2, 1, 3, 1, 0, 0, 3, 2, 2, 0, 1, 4, 4, 0, 1, 3, 3, 2, 1, 2, 2, 2, 2, 1, 4, 4, 4, 4, 2, 3, 1, 3, 2, 3, 4, 0, 0, 3, 0, 4, 0, 4, 3, 4, 2, 0, 0, 3, 4, 0, 1, 3, 3, 2, 2, 0, 0, 4, 0, 1, 3, 3, 0, 4, 3, 3, 1, 4, 2, 1, 1, 2, 2, 3, 4, 4, 0, 4, 0, 0, 4, 1, 2, 1, 1, 1, 4, 3, 0, 3, 3, 4, 4, 0, 2, 1, 2, 4, 2] pubkeycol1450 = [2, 0, 4, 2, 2, 1, 1, 4, 0, 3, 2, 4, 0, 0, 2, 3, 0, 1, 4, 4, 3, 3, 1, 2, 1, 2, 3, 4, 4, 1, 3, 0, 4, 2, 2, 0, 3, 2, 3, 1, 0, 4, 0, 3, 3, 1, 4, 0, 3, 3, 2, 4, 1, 1, 0, 3, 2, 0, 4, 3, 1, 2, 3, 2, 1, 4, 4, 1, 0, 3, 0, 2, 4, 4, 3, 1, 4, 4, 3, 2, 2, 1, 0, 2, 0, 0, 1, 3, 2, 1, 3, 3, 0, 2, 1, 2, 2, 1, 0, 0, 4, 2, 4, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 4, 0, 0, 2, 4, 0, 3, 3, 0, 2, 3, 3, 4, 4, 2, 1, 2, 4, 0, 1, 2, 4, 0, 0, 1, 3, 2, 1, 2, 0, 4, 2, 3, 2, 4, 4, 4, 0, 2, 3, 3, 4, 4, 4, 3, 4, 2, 4, 2, 4, 3, 3, 0, 2, 3, 0, 2, 0, 4, 3, 4, 1, 4, 0, 3, 3, 1, 3, 1, 2, 4, 4, 2, 2, 0, 2, 3, 1, 0, 3, 1, 3, 1, 3, 2, 0, 3, 0, 1, 2, 3, 4, 1, 4, 1, 0, 2, 1, 0, 1, 4, 4, 1, 1, 2, 4, 1, 3, 4, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 4, 2, 1, 4, 4, 0, 4, 0, 3, 4, 2, 0, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 3, 4, 0, 0, 2, 0, 2, 3, 4, 3, 3, 3, 0, 3, 0, 4, 4, 0, 1, 1, 1, 3, 2, 1, 2, 3, 0, 1, 2, 2, 2, 2, 4, 4, 1, 0, 0, 2, 3, 4, 0, 1, 1, 4, 4, 0, 2, 1, 3, 1, 0, 1, 4, 0, 4, 3, 3, 2, 2, 2] pubkeycol1451 = [0, 0, 2, 1, 1, 1, 0, 2, 4, 4, 4, 0, 4, 0, 0, 2, 4, 3, 2, 2, 1, 1, 4, 1, 1, 4, 2, 3, 4, 3, 3, 1, 2, 2, 4, 4, 0, 4, 2, 1, 3, 1, 4, 3, 1, 3, 3, 0, 2, 2, 1, 2, 2, 4, 3, 3, 1, 1, 1, 1, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 0, 2, 1, 0, 0, 3, 4, 3, 2, 1, 2, 3, 2, 0, 4, 3, 1, 3, 0, 4, 3, 2, 1, 0, 4, 0, 2, 1, 3, 3, 1, 2, 2, 4, 3, 4, 4, 0, 4, 4, 1, 1, 3, 3, 4, 3, 4, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 3, 3, 0, 1, 4, 0, 2, 4, 4, 0, 3, 2, 1, 4, 0, 4, 0, 2, 4, 4, 0, 1, 1, 1, 2, 3, 1, 2, 0, 4, 0, 2, 2, 0, 1, 4, 1, 2, 2, 3, 4, 4, 0, 1, 0, 1, 2, 3, 3, 1, 3, 0, 1, 1, 0, 1, 0, 3, 2, 4, 4, 4, 1, 3, 3, 3, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 4, 2, 1, 4, 0, 0, 1, 4, 2, 3, 1, 2, 3, 4, 2, 1, 2, 4, 0, 2, 4, 4, 1, 0, 0, 0, 2, 2, 1, 3, 4, 2, 4, 0, 4, 3, 0, 2, 2, 0, 2, 4, 1, 2, 4, 1, 4, 3, 0, 3, 1, 4, 2, 0, 1, 3, 0, 1, 4, 1, 1, 0, 1, 4, 2, 2, 0, 1, 0, 4, 3, 4, 3, 2, 3, 3, 1, 4, 0, 1, 2, 4, 0, 0, 4, 1, 1, 4, 2, 1, 1, 1, 1, 0, 1, 3, 3, 3, 1, 2, 0, 1, 1, 3, 0, 4, 4, 3, 1, 2, 3] pubkeycol1452 = [3, 3, 2, 2, 1, 2, 1, 1, 3, 3, 4, 0, 3, 1, 2, 1, 3, 0, 4, 1, 4, 1, 1, 1, 4, 4, 3, 2, 0, 0, 2, 1, 1, 2, 3, 3, 2, 0, 0, 3, 0, 1, 3, 0, 1, 0, 4, 0, 3, 0, 0, 0, 0, 1, 1, 3, 1, 1, 4, 4, 4, 3, 4, 4, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 3, 1, 3, 0, 4, 4, 3, 3, 0, 4, 3, 1, 0, 4, 2, 4, 4, 3, 3, 1, 2, 0, 2, 4, 4, 4, 3, 2, 2, 1, 0, 3, 1, 2, 2, 4, 3, 4, 0, 2, 0, 4, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 4, 2, 4, 4, 0, 2, 3, 4, 0, 1, 4, 0, 1, 4, 0, 0, 3, 2, 2, 4, 1, 0, 4, 2, 4, 0, 2, 3, 2, 2, 1, 4, 1, 0, 2, 0, 1, 4, 2, 3, 1, 0, 0, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 4, 4, 0, 1, 4, 0, 0, 0, 2, 0, 2, 3, 0, 1, 0, 0, 4, 0, 0, 2, 4, 3, 3, 2, 0, 0, 0, 4, 4, 3, 0, 2, 2, 3, 3, 4, 4, 1, 2, 4, 2, 4, 4, 1, 4, 4, 2, 2, 1, 0, 0, 2, 0, 2, 3, 4, 0, 2, 2, 1, 2, 4, 3, 3, 4, 2, 0, 3, 3, 4, 2, 1, 3, 4, 1, 1, 0, 4, 4, 2, 0, 4, 4, 1, 2, 2, 3, 2, 2, 0, 0, 0, 3, 3, 1, 4, 2, 3, 1, 2, 2, 4, 3, 3, 2, 1, 4, 3, 0, 4, 1, 1, 1, 0, 3, 0, 3, 0, 1, 0, 2, 4, 2, 4, 3, 1, 2, 4, 4, 2, 2, 1, 3, 0, 1, 4, 0, 0, 4] pubkeycol1453 = [2, 0, 0, 0, 1, 1, 4, 4, 2, 2, 4, 2, 0, 2, 3, 1, 1, 3, 2, 3, 0, 2, 0, 0, 3, 1, 1, 0, 0, 4, 1, 3, 3, 4, 3, 3, 0, 1, 2, 1, 0, 1, 4, 1, 4, 3, 4, 0, 3, 3, 1, 2, 1, 0, 0, 0, 3, 4, 1, 0, 1, 1, 3, 0, 0, 3, 3, 4, 1, 1, 3, 4, 4, 1, 1, 1, 3, 0, 4, 2, 1, 4, 3, 2, 2, 1, 0, 0, 1, 3, 3, 4, 0, 0, 1, 2, 0, 2, 1, 4, 1, 4, 1, 1, 3, 1, 2, 3, 0, 2, 3, 3, 2, 0, 3, 3, 2, 0, 2, 0, 0, 4, 0, 1, 2, 0, 3, 2, 0, 2, 2, 3, 1, 0, 1, 3, 1, 3, 2, 4, 2, 3, 3, 1, 0, 1, 1, 2, 0, 4, 3, 4, 3, 4, 2, 2, 2, 4, 2, 0, 0, 4, 2, 3, 0, 3, 0, 4, 3, 3, 3, 2, 2, 1, 1, 3, 3, 2, 3, 3, 3, 0, 1, 3, 3, 1, 2, 1, 0, 4, 0, 0, 4, 0, 2, 4, 4, 2, 2, 3, 0, 1, 2, 4, 0, 4, 3, 1, 3, 4, 1, 1, 1, 3, 2, 2, 1, 2, 3, 2, 4, 3, 1, 3, 2, 0, 2, 0, 3, 3, 3, 3, 3, 0, 1, 1, 0, 0, 2, 3, 1, 3, 4, 3, 3, 2, 4, 4, 4, 3, 4, 0, 3, 0, 3, 3, 3, 2, 0, 3, 4, 0, 2, 4, 2, 3, 3, 2, 4, 0, 1, 3, 1, 4, 1, 2, 2, 4, 4, 0, 0, 1, 2, 3, 1, 1, 3, 2, 4, 0, 2, 1, 2, 1, 1, 4, 4, 0, 4, 2, 3, 0, 0, 2, 1, 0, 3, 0, 4, 1, 3, 0, 3, 0, 4, 0, 4, 1, 0, 4] pubkeycol1454 = [0, 1, 3, 2, 3, 0, 0, 3, 4, 0, 0, 2, 4, 3, 4, 4, 3, 3, 2, 4, 1, 3, 4, 2, 1, 4, 0, 3, 0, 1, 2, 0, 2, 2, 0, 1, 3, 3, 3, 1, 0, 1, 4, 1, 2, 3, 0, 2, 1, 2, 4, 1, 3, 2, 0, 1, 0, 4, 2, 4, 2, 4, 1, 0, 1, 4, 4, 3, 4, 3, 3, 3, 1, 2, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 4, 3, 0, 3, 4, 3, 3, 1, 2, 3, 4, 3, 4, 0, 4, 1, 1, 0, 4, 4, 2, 3, 3, 4, 3, 1, 3, 3, 3, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 4, 3, 4, 0, 3, 1, 4, 3, 2, 4, 4, 0, 1, 3, 2, 1, 0, 3, 0, 0, 0, 1, 1, 4, 4, 0, 4, 1, 0, 0, 4, 4, 0, 3, 0, 1, 2, 2, 1, 0, 4, 2, 4, 2, 4, 3, 3, 2, 2, 0, 1, 4, 3, 2, 0, 3, 3, 2, 3, 4, 0, 3, 4, 1, 1, 1, 0, 0, 4, 1, 0, 0, 0, 1, 0, 3, 3, 0, 0, 2, 4, 1, 4, 4, 3, 0, 2, 3, 1, 2, 4, 1, 4, 0, 4, 0, 1, 1, 4, 0, 4, 1, 0, 2, 1, 3, 3, 0, 1, 4, 0, 0, 1, 4, 1, 0, 2, 2, 1, 4, 1, 2, 2, 1, 1, 1, 2, 0, 0, 3, 1, 3, 0, 0, 0, 4, 1, 3, 4, 3, 3, 1, 4, 2, 3, 3, 1, 2, 4, 3, 4, 0, 2, 0, 3, 2, 3, 3, 2, 4, 3, 4, 2, 4, 3, 0, 0, 3, 4, 4, 3, 2, 4, 1, 2, 4, 3, 2, 1, 0, 0, 0, 1, 3, 0, 2, 2, 2, 2, 0, 4, 2] pubkeycol1455 = [1, 0, 3, 4, 3, 2, 3, 1, 1, 3, 2, 3, 4, 1, 2, 1, 4, 3, 2, 0, 1, 4, 1, 0, 1, 4, 0, 2, 0, 4, 2, 4, 0, 1, 4, 3, 1, 0, 1, 0, 2, 4, 3, 2, 0, 3, 4, 1, 1, 0, 2, 0, 0, 2, 0, 3, 1, 1, 0, 0, 4, 4, 3, 4, 1, 1, 2, 0, 2, 3, 1, 0, 1, 2, 0, 0, 3, 1, 3, 1, 4, 1, 1, 1, 3, 1, 4, 2, 0, 3, 2, 0, 4, 2, 0, 1, 1, 3, 4, 2, 3, 1, 2, 1, 0, 3, 1, 3, 0, 3, 1, 4, 2, 3, 3, 0, 2, 0, 3, 2, 3, 2, 0, 3, 2, 0, 4, 0, 1, 1, 2, 4, 2, 0, 4, 3, 2, 2, 0, 3, 4, 1, 2, 0, 0, 2, 1, 3, 3, 1, 1, 3, 1, 4, 4, 2, 2, 0, 0, 2, 2, 4, 1, 1, 2, 1, 2, 3, 4, 2, 0, 4, 1, 0, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 3, 3, 4, 3, 4, 1, 3, 1, 1, 4, 3, 0, 0, 4, 2, 2, 0, 2, 2, 3, 2, 2, 4, 1, 1, 1, 0, 4, 2, 2, 1, 0, 0, 0, 2, 1, 4, 2, 4, 1, 0, 0, 1, 3, 2, 1, 1, 1, 3, 0, 3, 4, 0, 4, 4, 4, 4, 0, 0, 2, 0, 2, 2, 3, 1, 4, 0, 3, 1, 1, 2, 0, 4, 0, 1, 4, 1, 3, 0, 2, 3, 3, 3, 2, 1, 3, 0, 0, 2, 0, 4, 3, 4, 3, 0, 1, 0, 1, 1, 3, 1, 3, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 4, 3, 2, 0, 3, 1, 0, 2, 2, 2, 3, 1, 1, 3, 2, 0, 0, 0, 3, 2, 3, 3, 1, 3] pubkeycol1456 = [1, 1, 0, 3, 3, 3, 4, 0, 4, 0, 2, 2, 1, 4, 1, 2, 4, 0, 1, 3, 3, 1, 3, 4, 4, 3, 0, 3, 1, 0, 0, 3, 2, 3, 4, 3, 0, 3, 1, 4, 0, 3, 1, 2, 0, 4, 4, 3, 2, 2, 4, 3, 3, 0, 4, 4, 3, 0, 4, 4, 0, 2, 0, 4, 4, 3, 0, 4, 0, 0, 2, 4, 3, 0, 1, 4, 0, 2, 2, 4, 3, 4, 1, 3, 2, 0, 4, 3, 3, 3, 4, 4, 0, 0, 3, 3, 0, 1, 4, 0, 1, 2, 0, 1, 4, 1, 2, 2, 1, 0, 2, 2, 4, 4, 0, 0, 2, 2, 4, 1, 3, 4, 2, 4, 2, 0, 0, 2, 2, 0, 4, 4, 3, 3, 1, 1, 1, 0, 0, 4, 4, 1, 0, 1, 0, 4, 0, 4, 2, 0, 4, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 4, 4, 2, 0, 3, 0, 4, 2, 0, 2, 0, 4, 1, 1, 3, 2, 0, 2, 4, 3, 1, 1, 3, 1, 2, 0, 4, 1, 4, 0, 4, 3, 1, 1, 2, 1, 0, 2, 3, 0, 2, 0, 2, 0, 3, 3, 2, 4, 1, 2, 4, 0, 0, 1, 3, 0, 2, 1, 0, 2, 3, 4, 4, 2, 0, 2, 2, 0, 1, 0, 2, 1, 4, 3, 4, 0, 3, 3, 3, 0, 2, 2, 4, 2, 3, 2, 3, 3, 4, 0, 0, 4, 0, 1, 3, 3, 2, 0, 0, 1, 1, 3, 0, 1, 2, 1, 3, 0, 4, 1, 0, 1, 3, 1, 3, 3, 4, 1, 2, 3, 4, 0, 3, 3, 3, 4, 2, 0, 0, 3, 3, 2, 1, 4, 1, 1, 4, 0, 2, 1, 0, 4, 4, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 4, 4, 0, 0, 2] pubkeycol1457 = [3, 0, 4, 4, 1, 2, 4, 3, 4, 0, 1, 0, 2, 2, 4, 0, 2, 4, 1, 0, 4, 0, 3, 2, 0, 1, 0, 1, 3, 3, 2, 3, 2, 2, 4, 1, 2, 3, 2, 3, 0, 2, 4, 1, 2, 2, 2, 0, 1, 1, 4, 2, 1, 0, 2, 1, 2, 3, 2, 2, 0, 2, 2, 4, 4, 0, 3, 2, 4, 1, 3, 4, 0, 4, 4, 2, 2, 1, 2, 0, 4, 2, 4, 1, 2, 0, 3, 4, 2, 1, 3, 4, 2, 0, 1, 4, 1, 2, 3, 2, 3, 0, 2, 0, 3, 3, 0, 1, 1, 3, 2, 0, 0, 4, 0, 1, 4, 4, 2, 3, 0, 3, 2, 1, 3, 4, 3, 1, 3, 2, 4, 0, 2, 3, 0, 2, 4, 3, 4, 4, 1, 1, 3, 2, 2, 4, 1, 3, 0, 2, 2, 0, 2, 1, 0, 1, 4, 4, 2, 1, 1, 3, 4, 3, 2, 0, 2, 4, 2, 2, 1, 4, 0, 3, 2, 3, 3, 1, 4, 4, 4, 0, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 1, 0, 1, 4, 4, 0, 3, 1, 2, 1, 3, 0, 0, 2, 2, 0, 3, 2, 2, 1, 1, 1, 3, 4, 1, 3, 4, 1, 0, 3, 1, 0, 2, 3, 3, 0, 3, 4, 1, 2, 0, 0, 0, 0, 1, 2, 3, 2, 4, 1, 3, 0, 4, 3, 4, 0, 1, 0, 4, 4, 3, 1, 2, 4, 2, 1, 2, 2, 4, 2, 2, 1, 3, 0, 1, 4, 2, 0, 4, 3, 1, 2, 2, 1, 4, 4, 2, 3, 4, 1, 3, 3, 2, 2, 2, 3, 4, 3, 0, 4, 2, 1, 4, 1, 3, 0, 1, 0, 3, 3, 4, 3, 0, 0, 0, 2, 0, 0, 1, 1, 4, 4, 1, 2, 4, 4, 1, 4] pubkeycol1458 = [1, 3, 1, 4, 4, 3, 0, 4, 0, 3, 1, 3, 2, 1, 0, 3, 0, 4, 3, 1, 3, 0, 2, 4, 3, 1, 4, 4, 1, 1, 4, 4, 4, 0, 1, 3, 3, 0, 4, 2, 3, 2, 1, 1, 3, 1, 2, 3, 0, 3, 4, 3, 2, 1, 2, 1, 2, 1, 2, 0, 0, 4, 0, 0, 4, 2, 1, 2, 3, 0, 2, 1, 4, 2, 4, 4, 1, 2, 3, 3, 0, 0, 3, 2, 2, 4, 4, 0, 2, 3, 3, 4, 3, 2, 4, 0, 2, 2, 2, 4, 0, 0, 2, 2, 4, 3, 3, 1, 2, 2, 0, 1, 1, 2, 4, 3, 1, 3, 1, 4, 1, 4, 3, 3, 0, 3, 0, 1, 2, 4, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 4, 0, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 3, 0, 4, 2, 0, 1, 0, 0, 1, 2, 3, 1, 2, 4, 4, 0, 2, 0, 4, 0, 1, 0, 2, 0, 4, 3, 2, 0, 0, 1, 4, 4, 4, 4, 2, 4, 3, 4, 4, 0, 2, 1, 2, 2, 0, 0, 4, 4, 3, 4, 1, 2, 4, 0, 3, 4, 3, 0, 2, 4, 2, 2, 3, 1, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 4, 4, 4, 2, 1, 0, 3, 0, 4, 4, 0, 3, 3, 3, 2, 3, 3, 0, 3, 1, 1, 3, 2, 3, 2, 0, 3, 1, 2, 3, 3, 3, 1, 4, 4, 4, 1, 2, 4, 3, 0, 3, 1, 2, 2, 1, 1, 4, 2, 1, 2, 1, 0, 3, 2, 1, 0, 0, 4, 1, 2, 3, 2, 1, 1, 2, 0, 3, 3, 1, 4, 2, 4, 4, 2, 0, 3, 2, 0, 3, 1, 2, 1, 2, 1, 3, 1, 2, 0] pubkeycol1459 = [3, 1, 2, 2, 4, 0, 1, 1, 0, 3, 4, 0, 2, 4, 3, 3, 1, 4, 2, 1, 2, 1, 2, 4, 1, 3, 2, 3, 0, 0, 1, 0, 2, 3, 4, 2, 1, 3, 2, 0, 3, 0, 2, 1, 4, 4, 2, 1, 4, 4, 0, 2, 2, 2, 0, 1, 4, 3, 0, 0, 2, 2, 3, 4, 4, 4, 3, 3, 2, 1, 3, 3, 2, 0, 1, 0, 3, 2, 4, 2, 3, 2, 1, 4, 3, 2, 1, 1, 2, 0, 2, 1, 1, 1, 4, 3, 1, 0, 4, 1, 0, 2, 0, 0, 0, 3, 0, 4, 2, 0, 1, 0, 1, 2, 4, 0, 3, 4, 1, 1, 0, 0, 2, 0, 0, 1, 3, 3, 1, 0, 3, 0, 4, 4, 2, 1, 1, 0, 1, 0, 2, 3, 1, 0, 3, 2, 1, 3, 1, 4, 1, 1, 2, 2, 3, 1, 3, 3, 3, 1, 4, 0, 0, 4, 0, 1, 1, 2, 4, 3, 4, 0, 2, 0, 0, 0, 3, 2, 2, 0, 4, 0, 0, 4, 4, 1, 4, 2, 4, 1, 4, 0, 2, 3, 4, 2, 4, 1, 3, 3, 4, 2, 4, 3, 3, 1, 0, 1, 1, 4, 3, 0, 0, 2, 1, 3, 4, 2, 3, 4, 3, 1, 0, 3, 4, 0, 3, 3, 4, 0, 2, 2, 0, 2, 0, 3, 3, 2, 1, 2, 2, 3, 3, 3, 4, 0, 3, 4, 2, 0, 4, 2, 3, 3, 3, 0, 2, 0, 4, 3, 3, 4, 4, 1, 3, 3, 3, 4, 2, 4, 1, 3, 3, 3, 0, 1, 2, 4, 4, 4, 0, 4, 3, 3, 0, 1, 0, 0, 0, 1, 2, 3, 0, 1, 1, 0, 3, 1, 4, 3, 3, 2, 0, 0, 2, 3, 0, 1, 0, 4, 0, 4, 4, 1, 4, 2, 4, 2, 4, 3] pubkeycol1460 = [1, 2, 3, 3, 3, 1, 2, 4, 3, 1, 4, 3, 4, 0, 1, 4, 3, 4, 0, 0, 4, 2, 1, 2, 4, 3, 2, 3, 1, 3, 1, 1, 3, 1, 3, 3, 1, 4, 3, 3, 3, 0, 2, 3, 2, 4, 1, 0, 1, 2, 0, 0, 1, 4, 0, 3, 1, 2, 1, 4, 3, 3, 1, 0, 1, 3, 0, 2, 1, 2, 4, 2, 3, 3, 2, 1, 0, 0, 2, 2, 1, 1, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 3, 1, 4, 0, 1, 2, 3, 2, 0, 2, 1, 4, 2, 4, 3, 1, 1, 0, 1, 2, 3, 1, 4, 3, 0, 3, 4, 2, 4, 0, 2, 3, 2, 4, 4, 3, 1, 0, 0, 2, 1, 3, 3, 2, 0, 1, 2, 4, 3, 0, 4, 4, 2, 4, 1, 4, 0, 1, 2, 1, 0, 1, 2, 1, 3, 1, 3, 4, 2, 0, 1, 2, 1, 3, 1, 0, 2, 3, 4, 0, 3, 2, 4, 3, 2, 2, 0, 0, 4, 2, 2, 2, 0, 4, 0, 1, 2, 1, 1, 0, 1, 2, 4, 3, 1, 0, 0, 1, 3, 1, 3, 3, 4, 2, 1, 4, 2, 3, 3, 0, 3, 4, 4, 3, 1, 2, 0, 3, 1, 0, 4, 4, 0, 1, 0, 0, 2, 2, 4, 3, 4, 4, 4, 3, 2, 3, 2, 3, 1, 1, 0, 1, 4, 4, 4, 4, 0, 0, 1, 2, 4, 2, 3, 1, 4, 4, 1, 2, 0, 3, 2, 2, 3, 4, 1, 2, 1, 0, 1, 3, 0, 1, 4, 4, 1, 4, 2, 4, 2, 4, 0, 2, 2, 4, 2, 0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 4, 2, 4, 3, 1, 2, 1, 0, 0, 1, 1, 1, 4] pubkeycol1461 = [0, 3, 3, 0, 4, 1, 0, 2, 1, 2, 4, 3, 0, 1, 1, 1, 4, 1, 4, 0, 0, 1, 0, 1, 1, 0, 0, 2, 3, 4, 4, 3, 2, 1, 1, 2, 3, 1, 2, 0, 0, 4, 2, 3, 4, 3, 3, 4, 0, 2, 1, 0, 2, 2, 3, 3, 2, 3, 4, 0, 3, 4, 4, 0, 4, 1, 4, 0, 0, 1, 1, 3, 4, 0, 4, 0, 4, 3, 2, 4, 4, 0, 4, 2, 2, 4, 3, 1, 1, 1, 3, 1, 2, 4, 4, 2, 1, 4, 1, 2, 2, 4, 0, 1, 1, 3, 1, 3, 1, 2, 0, 0, 3, 2, 4, 1, 4, 3, 3, 3, 1, 2, 1, 4, 3, 0, 1, 4, 1, 1, 4, 0, 3, 1, 0, 3, 3, 0, 2, 4, 1, 2, 3, 1, 0, 0, 0, 2, 3, 1, 0, 3, 3, 1, 3, 0, 2, 1, 2, 0, 1, 0, 3, 2, 0, 3, 4, 4, 0, 3, 2, 0, 2, 3, 2, 4, 2, 0, 1, 2, 4, 0, 1, 0, 2, 2, 1, 4, 2, 1, 3, 4, 3, 0, 0, 2, 2, 1, 1, 2, 4, 2, 4, 3, 3, 1, 2, 0, 0, 4, 0, 1, 1, 4, 2, 4, 2, 4, 2, 3, 3, 2, 3, 1, 1, 1, 4, 2, 3, 1, 2, 1, 0, 0, 3, 0, 3, 3, 4, 1, 2, 1, 1, 3, 4, 1, 4, 1, 1, 1, 2, 1, 4, 1, 3, 2, 0, 4, 4, 4, 1, 2, 0, 3, 0, 1, 3, 3, 2, 3, 0, 2, 1, 2, 4, 0, 0, 4, 4, 4, 4, 1, 2, 1, 4, 3, 4, 0, 4, 4, 1, 3, 1, 1, 4, 3, 3, 0, 1, 4, 3, 2, 3, 1, 2, 3, 4, 3, 0, 4, 4, 3, 4, 0, 3, 1, 4, 0, 0, 0] pubkeycol1462 = [3, 1, 4, 0, 2, 1, 0, 3, 3, 4, 2, 1, 0, 1, 3, 3, 3, 2, 2, 2, 1, 4, 3, 1, 4, 1, 0, 3, 1, 0, 3, 2, 4, 3, 0, 0, 4, 3, 0, 1, 2, 0, 3, 3, 4, 4, 3, 0, 2, 0, 3, 4, 2, 2, 3, 2, 2, 1, 4, 3, 1, 2, 2, 0, 2, 4, 3, 0, 2, 1, 1, 4, 2, 0, 2, 0, 3, 2, 2, 1, 2, 2, 1, 3, 1, 4, 3, 0, 2, 3, 3, 4, 4, 3, 1, 1, 3, 3, 3, 3, 2, 3, 1, 4, 4, 3, 2, 3, 4, 2, 2, 2, 2, 1, 3, 3, 4, 0, 0, 3, 1, 4, 4, 4, 3, 3, 4, 1, 0, 0, 2, 3, 4, 2, 4, 4, 0, 3, 0, 2, 4, 3, 0, 2, 1, 4, 1, 3, 1, 1, 1, 3, 2, 0, 4, 1, 0, 4, 3, 0, 1, 2, 1, 2, 2, 1, 2, 1, 3, 1, 4, 4, 4, 1, 3, 4, 0, 1, 0, 0, 0, 3, 1, 4, 0, 1, 3, 3, 2, 2, 4, 3, 0, 4, 0, 3, 1, 0, 1, 2, 2, 2, 4, 4, 2, 2, 1, 1, 4, 2, 1, 2, 4, 3, 2, 2, 4, 1, 3, 4, 0, 2, 4, 3, 0, 1, 1, 0, 2, 2, 4, 1, 0, 2, 2, 0, 3, 2, 0, 1, 2, 4, 1, 1, 3, 2, 0, 0, 1, 4, 4, 0, 2, 3, 0, 3, 4, 3, 4, 3, 4, 0, 3, 2, 2, 0, 1, 4, 0, 1, 1, 3, 1, 0, 0, 4, 3, 4, 1, 1, 2, 0, 2, 4, 3, 3, 4, 0, 2, 2, 3, 2, 4, 3, 3, 3, 4, 1, 1, 3, 1, 0, 0, 3, 0, 2, 2, 1, 3, 3, 1, 2, 0, 3, 4, 0, 2, 2, 0, 4] pubkeycol1463 = [1, 0, 2, 2, 2, 4, 0, 3, 0, 4, 1, 2, 3, 4, 4, 0, 0, 3, 4, 0, 0, 0, 1, 2, 4, 4, 2, 0, 4, 1, 3, 2, 2, 4, 3, 4, 2, 3, 1, 1, 4, 4, 0, 4, 4, 0, 1, 4, 2, 3, 3, 2, 1, 3, 4, 4, 4, 2, 4, 2, 4, 3, 2, 1, 3, 1, 2, 0, 0, 0, 3, 2, 2, 4, 4, 2, 4, 1, 1, 0, 0, 0, 1, 1, 2, 3, 2, 3, 0, 4, 1, 3, 1, 0, 1, 3, 4, 3, 2, 0, 4, 2, 3, 1, 1, 2, 1, 3, 4, 1, 1, 0, 2, 0, 3, 0, 4, 3, 3, 1, 2, 3, 0, 0, 2, 0, 2, 2, 0, 0, 3, 0, 2, 2, 4, 1, 4, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 4, 2, 3, 3, 1, 4, 2, 1, 0, 4, 0, 4, 4, 3, 2, 4, 0, 3, 0, 0, 3, 2, 1, 4, 4, 3, 1, 4, 3, 1, 0, 3, 1, 1, 0, 3, 2, 0, 4, 4, 1, 2, 2, 3, 4, 0, 3, 1, 4, 3, 4, 0, 4, 1, 0, 4, 0, 0, 0, 0, 0, 2, 3, 4, 2, 1, 0, 3, 2, 0, 4, 0, 3, 2, 0, 2, 1, 2, 1, 0, 2, 3, 0, 1, 4, 2, 0, 0, 4, 2, 1, 2, 0, 2, 0, 4, 1, 3, 4, 0, 4, 4, 0, 2, 1, 4, 3, 4, 4, 0, 1, 2, 3, 1, 2, 2, 2, 3, 0, 4, 4, 1, 4, 0, 4, 3, 1, 0, 2, 2, 4, 3, 1, 1, 4, 4, 4, 3, 2, 0, 2, 0, 2, 3, 3, 2, 1, 3, 4, 4, 4, 4, 2, 1, 1, 0, 0, 4, 1, 1, 4, 3, 1, 2, 4, 1, 1, 1, 2, 1, 1] pubkeycol1464 = [4, 3, 1, 4, 3, 2, 3, 3, 2, 4, 4, 1, 4, 4, 0, 2, 4, 2, 1, 2, 3, 1, 3, 2, 0, 2, 3, 4, 3, 2, 3, 4, 2, 3, 4, 3, 0, 0, 2, 2, 2, 1, 3, 4, 0, 0, 2, 2, 4, 3, 0, 0, 2, 0, 0, 4, 0, 3, 3, 3, 0, 1, 4, 2, 4, 0, 4, 2, 1, 1, 2, 1, 2, 4, 0, 3, 1, 0, 4, 0, 2, 3, 1, 1, 4, 4, 4, 0, 4, 2, 4, 2, 0, 2, 0, 2, 2, 1, 0, 3, 2, 3, 1, 0, 2, 2, 2, 0, 0, 0, 0, 4, 4, 3, 1, 0, 1, 3, 4, 1, 0, 4, 3, 3, 0, 4, 4, 1, 1, 4, 1, 2, 3, 3, 1, 4, 1, 4, 4, 2, 1, 3, 0, 4, 0, 2, 2, 0, 0, 3, 1, 3, 0, 4, 2, 3, 4, 1, 1, 4, 2, 2, 3, 1, 0, 4, 3, 3, 2, 0, 2, 4, 1, 4, 3, 0, 2, 1, 1, 1, 3, 1, 3, 1, 0, 1, 2, 2, 3, 3, 3, 2, 1, 3, 4, 4, 0, 1, 0, 3, 3, 2, 3, 4, 1, 3, 2, 0, 2, 0, 4, 4, 2, 0, 2, 2, 4, 4, 3, 4, 1, 4, 3, 1, 0, 1, 1, 3, 3, 1, 0, 3, 0, 0, 0, 3, 0, 2, 1, 0, 2, 4, 1, 2, 0, 3, 2, 2, 3, 3, 1, 2, 1, 0, 0, 1, 4, 1, 3, 1, 4, 3, 3, 0, 3, 1, 2, 3, 4, 2, 1, 3, 3, 0, 4, 4, 0, 3, 3, 4, 3, 0, 3, 2, 0, 4, 4, 4, 4, 0, 3, 3, 4, 3, 1, 0, 4, 0, 3, 4, 4, 4, 1, 3, 0, 1, 1, 3, 1, 0, 4, 2, 3, 1, 3, 3, 4, 0, 1, 1] pubkeycol1465 = [3, 1, 0, 3, 4, 0, 3, 3, 2, 0, 0, 3, 1, 3, 1, 0, 0, 4, 2, 3, 1, 2, 0, 3, 0, 0, 3, 4, 2, 2, 4, 2, 4, 1, 1, 4, 3, 3, 3, 0, 3, 1, 3, 4, 2, 2, 3, 4, 2, 4, 1, 3, 2, 0, 4, 2, 4, 2, 0, 1, 4, 3, 3, 0, 3, 4, 3, 3, 4, 1, 4, 2, 1, 4, 4, 4, 2, 3, 1, 2, 2, 4, 0, 0, 4, 0, 2, 2, 1, 0, 1, 3, 2, 0, 2, 0, 3, 1, 4, 1, 0, 2, 2, 3, 4, 4, 4, 2, 3, 3, 0, 1, 0, 4, 1, 0, 4, 1, 1, 3, 1, 4, 0, 2, 1, 1, 2, 3, 2, 3, 2, 2, 3, 4, 3, 0, 1, 1, 1, 2, 2, 4, 0, 3, 2, 3, 0, 3, 1, 4, 1, 0, 0, 4, 0, 0, 2, 2, 1, 1, 4, 4, 2, 3, 4, 0, 2, 0, 2, 2, 4, 1, 4, 3, 3, 2, 2, 3, 0, 0, 3, 2, 0, 1, 1, 2, 0, 3, 0, 1, 4, 4, 3, 4, 0, 1, 0, 0, 3, 4, 0, 0, 0, 3, 3, 2, 3, 3, 1, 0, 3, 0, 1, 4, 0, 3, 4, 4, 1, 4, 4, 0, 0, 2, 4, 1, 4, 0, 3, 2, 0, 3, 3, 1, 4, 0, 4, 3, 0, 2, 0, 4, 1, 3, 3, 0, 2, 1, 3, 0, 0, 2, 1, 4, 1, 2, 0, 0, 3, 3, 4, 2, 3, 2, 2, 1, 4, 1, 1, 1, 1, 3, 0, 0, 2, 0, 4, 2, 4, 0, 4, 2, 1, 4, 4, 0, 0, 3, 0, 2, 3, 4, 2, 0, 1, 0, 3, 1, 2, 0, 0, 1, 4, 0, 0, 0, 0, 1, 4, 1, 3, 1, 4, 0, 4, 1, 4, 1, 0, 1]