kilobytes = 30.6188751848300 q = 3 m = 7 n = 880 s = 0 t = 18 u = 36 k = 628 w = 27 ciphertext = [1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2] recovered_plaintext_using_secret_key = True pubkeycol252 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol253 = [2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol254 = [0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol255 = [0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol256 = [1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol257 = [1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol258 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol259 = [1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol260 = [2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol261 = [0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol262 = [2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol263 = [2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol264 = [0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol265 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol266 = [1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol267 = [2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol268 = [0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol269 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol270 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol271 = [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol272 = [2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol273 = [1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol274 = [1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol275 = [1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol276 = [2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0] pubkeycol277 = [1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol278 = [1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol279 = [0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol280 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol281 = [2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol282 = [1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol283 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol284 = [1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol285 = [0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol286 = [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol287 = [1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol288 = [2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol289 = [1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol290 = [2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol291 = [0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol292 = [2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol293 = [0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol294 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol295 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol296 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol297 = [0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol298 = [2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2] pubkeycol299 = [2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol300 = [2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol301 = [1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol302 = [0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol303 = [0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol304 = [2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol305 = [1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol306 = [2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol307 = [1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol308 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0] pubkeycol309 = [1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol310 = [1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol311 = [2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol312 = [2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol313 = [1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol314 = [1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol315 = [0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol316 = [1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol317 = [0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol318 = [2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol319 = [1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol320 = [2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol321 = [1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol322 = [1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol323 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol324 = [1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol325 = [2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol326 = [2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol327 = [2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol328 = [0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol329 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol330 = [2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol331 = [2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol332 = [0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol333 = [0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol334 = [1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol335 = [0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2] pubkeycol336 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol337 = [1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol338 = [1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2] pubkeycol339 = [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol340 = [0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol341 = [2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol342 = [2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1] pubkeycol343 = [2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol344 = [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol345 = [2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol346 = [2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol347 = [2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol348 = [1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol349 = [1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol350 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol351 = [1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol352 = [1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol353 = [1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol354 = [0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol355 = [1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol356 = [2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol357 = [2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol358 = [2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol359 = [2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol360 = [1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol361 = [0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol362 = [1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol363 = [2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol364 = [0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol365 = [1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol366 = [2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol367 = [0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol368 = [1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2] pubkeycol369 = [1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol370 = [2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol371 = [2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol372 = [0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol373 = [1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol374 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol375 = [0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol376 = [1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol377 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol378 = [2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol379 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol380 = [2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol381 = [0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0] pubkeycol382 = [1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol383 = [0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol384 = [2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol385 = [2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol386 = [2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol387 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol388 = [2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol389 = [0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol390 = [2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol391 = [0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2] pubkeycol392 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol393 = [2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol394 = [1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol395 = [1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol396 = [1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol397 = [0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol398 = [1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol399 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol400 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol401 = [1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol402 = [1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0] pubkeycol403 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol404 = [0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol405 = [0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol406 = [1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol407 = [2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol408 = [0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol409 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol410 = [2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol411 = [2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol412 = [1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol413 = [1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0] pubkeycol414 = [2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol415 = [2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol416 = [0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol417 = [1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol418 = [0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol419 = [0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1] pubkeycol420 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1] pubkeycol421 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol422 = [2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol423 = [0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol424 = [1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1] pubkeycol425 = [1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol426 = [0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol427 = [2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol428 = [2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol429 = [0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol430 = [0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol431 = [1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol432 = [1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol433 = [1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol434 = [1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol435 = [2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol436 = [0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol437 = [0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol438 = [2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol439 = [1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2] pubkeycol440 = [0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0] pubkeycol441 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol442 = [0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol443 = [2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol444 = [0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1] pubkeycol445 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol446 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol447 = [2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol448 = [2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol449 = [2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol450 = [2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol451 = [1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol452 = [0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol453 = [0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol454 = [2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol455 = [2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol456 = [2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol457 = [0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol458 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol459 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol460 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol461 = [2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol462 = [2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol463 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol464 = [2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol465 = [2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol466 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol467 = [2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol468 = [2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol469 = [2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol470 = [0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol471 = [1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol472 = [0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol473 = [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol474 = [0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol475 = [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol476 = [0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol477 = [1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol478 = [1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1] pubkeycol479 = [1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol480 = [2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol481 = [0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol482 = [2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0] pubkeycol483 = [1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol484 = [0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol485 = [0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol486 = [1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0] pubkeycol487 = [1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol488 = [1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol489 = [0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol490 = [1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol491 = [2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol492 = [0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol493 = [2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol494 = [1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol495 = [2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol496 = [1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol497 = [0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol498 = [2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol499 = [2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol500 = [1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol501 = [0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2] pubkeycol502 = [0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol503 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol504 = [2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol505 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol506 = [2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol507 = [0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol508 = [2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol509 = [1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol510 = [1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol511 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2] pubkeycol512 = [2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol513 = [1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol514 = [1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol515 = [0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol516 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol517 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol518 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol519 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol520 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol521 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol522 = [2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol523 = [2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1] pubkeycol524 = [1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol525 = [1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol526 = [2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol527 = [1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol528 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol529 = [0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol530 = [1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2] pubkeycol531 = [2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol532 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0] pubkeycol533 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol534 = [2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol535 = [1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol536 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol537 = [0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol538 = [2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0] pubkeycol539 = [1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol540 = [0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol541 = [2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0] pubkeycol542 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol543 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol544 = [1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol545 = [2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol546 = [0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol547 = [1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol548 = [1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol549 = [2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol550 = [1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol551 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol552 = [0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1] pubkeycol553 = [1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2] pubkeycol554 = [1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2] pubkeycol555 = [2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol556 = [2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol557 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol558 = [1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol559 = [0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol560 = [2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol561 = [2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol562 = [2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol563 = [2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol564 = [0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol565 = [1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol566 = [2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol567 = [2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol568 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol569 = [1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol570 = [0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol571 = [0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol572 = [0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol573 = [2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol574 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol575 = [1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2] pubkeycol576 = [2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol577 = [1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol578 = [2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol579 = [0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol580 = [1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0] pubkeycol581 = [1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol582 = [0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol583 = [1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol584 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol585 = [1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol586 = [2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol587 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol588 = [1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol589 = [2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol590 = [2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol591 = [2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol592 = [2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol593 = [2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol594 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol595 = [0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol596 = [0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol597 = [2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol598 = [1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0] pubkeycol599 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol600 = [1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol601 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol602 = [0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol603 = [1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol604 = [1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol605 = [0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2] pubkeycol606 = [0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol607 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol608 = [1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol609 = [0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol610 = [0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol611 = [1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol612 = [2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol613 = [2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol614 = [2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol615 = [0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol616 = [2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2] pubkeycol617 = [1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol618 = [2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol619 = [0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol620 = [2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol621 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol622 = [1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol623 = [2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol624 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol625 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1] pubkeycol626 = [2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol627 = [1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol628 = [2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol629 = [2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol630 = [2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol631 = [0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol632 = [0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol633 = [2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol634 = [2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0] pubkeycol635 = [0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol636 = [1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol637 = [0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol638 = [1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol639 = [1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol640 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol641 = [1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol642 = [2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol643 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol644 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol645 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol646 = [1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol647 = [2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol648 = [2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol649 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol650 = [0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol651 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2] pubkeycol652 = [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol653 = [1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol654 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2] pubkeycol655 = [0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol656 = [1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol657 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol658 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol659 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol660 = [1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol661 = [1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol662 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol663 = [1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol664 = [2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol665 = [1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol666 = [1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0] pubkeycol667 = [1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol668 = [1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol669 = [1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2] pubkeycol670 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol671 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol672 = [0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol673 = [0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol674 = [0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1] pubkeycol675 = [1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol676 = [2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2] pubkeycol677 = [0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol678 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol679 = [0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol680 = [2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1] pubkeycol681 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol682 = [0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol683 = [0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2] pubkeycol684 = [2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol685 = [0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol686 = [2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol687 = [0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol688 = [1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol689 = [0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol690 = [2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol691 = [1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol692 = [1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol693 = [2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol694 = [2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol695 = [1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol696 = [0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol697 = [1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol698 = [0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol699 = [1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol700 = [2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol701 = [1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol702 = [1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol703 = [1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2] pubkeycol704 = [0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol705 = [0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol706 = [0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol707 = [0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol708 = [1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1] pubkeycol709 = [1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol710 = [0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol711 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol712 = [0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol713 = [0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol714 = [2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol715 = [2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol716 = [0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1] pubkeycol717 = [1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol718 = [0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol719 = [2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0] pubkeycol720 = [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol721 = [2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol722 = [2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol723 = [1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol724 = [1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol725 = [2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol726 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol727 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol728 = [0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol729 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol730 = [0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol731 = [1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol732 = [2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol733 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol734 = [0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol735 = [2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol736 = [1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol737 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol738 = [2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol739 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol740 = [0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol741 = [1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol742 = [0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol743 = [0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2] pubkeycol744 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol745 = [2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol746 = [1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol747 = [0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol748 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol749 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol750 = [0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol751 = [1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol752 = [0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol753 = [2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol754 = [0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol755 = [1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol756 = [0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol757 = [0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol758 = [1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol759 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol760 = [0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol761 = [2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol762 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol763 = [0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0] pubkeycol764 = [0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol765 = [1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol766 = [0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol767 = [1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol768 = [2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol769 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0] pubkeycol770 = [0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol771 = [1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol772 = [1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol773 = [1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol774 = [2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol775 = [1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol776 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol777 = [2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol778 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol779 = [2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol780 = [2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol781 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol782 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol783 = [2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol784 = [2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol785 = [2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol786 = [1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol787 = [0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol788 = [2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol789 = [1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol790 = [0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol791 = [1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol792 = [1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol793 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol794 = [2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol795 = [2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol796 = [1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol797 = [2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol798 = [2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol799 = [0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol800 = [1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0] pubkeycol801 = [2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2] pubkeycol802 = [2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol803 = [2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol804 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol805 = [1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol806 = [1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol807 = [1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol808 = [0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol809 = [0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol810 = [1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol811 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol812 = [2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol813 = [1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol814 = [0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol815 = [1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol816 = [1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol817 = [0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1] pubkeycol818 = [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol819 = [1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol820 = [0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol821 = [0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol822 = [0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol823 = [1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol824 = [0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2] pubkeycol825 = [2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol826 = [2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol827 = [0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol828 = [1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol829 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol830 = [1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol831 = [0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol832 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol833 = [2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol834 = [0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol835 = [0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol836 = [2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol837 = [1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol838 = [1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol839 = [0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol840 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol841 = [2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol842 = [0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0] pubkeycol843 = [1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol844 = [1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol845 = [0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol846 = [0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2] pubkeycol847 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol848 = [1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol849 = [1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol850 = [1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol851 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol852 = [2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol853 = [1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol854 = [0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol855 = [2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol856 = [0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol857 = [2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol858 = [2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol859 = [0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol860 = [2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol861 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol862 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol863 = [0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol864 = [0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol865 = [0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol866 = [2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0] pubkeycol867 = [2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol868 = [2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2] pubkeycol869 = [0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol870 = [0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol871 = [0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol872 = [0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol873 = [1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1] pubkeycol874 = [1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol875 = [2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol876 = [1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol877 = [0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol878 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol879 = [1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1]