kilobytes = 39.7850352720084 q = 3 m = 7 n = 1068 s = 0 t = 18 u = 36 k = 816 w = 27 ciphertext = [2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol252 = [1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol253 = [0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol254 = [0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol255 = [2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol256 = [2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol257 = [0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol258 = [1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol259 = [0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol260 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol261 = [1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1] pubkeycol262 = [1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol263 = [1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol264 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol265 = [2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol266 = [2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol267 = [2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol268 = [0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol269 = [0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol270 = [0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol271 = [1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol272 = [0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol273 = [1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol274 = [1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol275 = [1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol276 = [2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol277 = [0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol278 = [0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol279 = [0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2] pubkeycol280 = [1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2] pubkeycol281 = [1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol282 = [0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol283 = [2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol284 = [2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol285 = [1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2] pubkeycol286 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol287 = [0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol288 = [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol289 = [0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol290 = [0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol291 = [0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol292 = [0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol293 = [2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1] pubkeycol294 = [0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol295 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol296 = [0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2] pubkeycol297 = [2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol298 = [2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol299 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol300 = [2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2] pubkeycol301 = [0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol302 = [2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1] pubkeycol303 = [2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol304 = [0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol305 = [1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol306 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol307 = [1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol308 = [1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol309 = [1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol310 = [0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1] pubkeycol311 = [0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol312 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol313 = [0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol314 = [2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol315 = [1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol316 = [0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2] pubkeycol317 = [2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol318 = [0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol319 = [1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol320 = [1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol321 = [2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol322 = [1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol323 = [2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol324 = [0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0] pubkeycol325 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol326 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol327 = [1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol328 = [2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol329 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol330 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol331 = [1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol332 = [1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol333 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol334 = [0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol335 = [2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol336 = [1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2] pubkeycol337 = [1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2] pubkeycol338 = [0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1] pubkeycol339 = [2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol340 = [1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol341 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol342 = [2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol343 = [2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol344 = [1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol345 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol346 = [2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol347 = [0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2] pubkeycol348 = [2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1] pubkeycol349 = [1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol350 = [2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol351 = [1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol352 = [1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol353 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol354 = [2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol355 = [1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol356 = [2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol357 = [1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0] pubkeycol358 = [2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol359 = [1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol360 = [2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol361 = [1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol362 = [0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol363 = [0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol364 = [2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol365 = [2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol366 = [1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol367 = [0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol368 = [1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol369 = [2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol370 = [0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol371 = [1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol372 = [0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol373 = [2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol374 = [2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2] pubkeycol375 = [2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol376 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol377 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1] pubkeycol378 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol379 = [1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol380 = [2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol381 = [1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1] pubkeycol382 = [1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol383 = [2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol384 = [2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol385 = [1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol386 = [1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol387 = [2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol388 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol389 = [1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol390 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol391 = [1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol392 = [0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2] pubkeycol393 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol394 = [0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol395 = [1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol396 = [2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol397 = [1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol398 = [1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol399 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol400 = [1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol401 = [1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol402 = [2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol403 = [0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1] pubkeycol404 = [0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol405 = [0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol406 = [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol407 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol408 = [0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0] pubkeycol409 = [2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol410 = [1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol411 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol412 = [1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol413 = [2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol414 = [2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol415 = [0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol416 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol417 = [0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol418 = [2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol419 = [1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol420 = [1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol421 = [0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol422 = [1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol423 = [1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol424 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol425 = [2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol426 = [0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol427 = [0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol428 = [2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol429 = [2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol430 = [2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol431 = [0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0] pubkeycol432 = [1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol433 = [0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol434 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol435 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol436 = [0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol437 = [2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol438 = [0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol439 = [0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol440 = [1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol441 = [1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol442 = [1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1] pubkeycol443 = [0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol444 = [1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol445 = [0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1] pubkeycol446 = [1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol447 = [2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol448 = [2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol449 = [1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol450 = [0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol451 = [0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol452 = [0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol453 = [2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol454 = [0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol455 = [0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol456 = [1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol457 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol458 = [0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol459 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1] pubkeycol460 = [1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol461 = [1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol462 = [0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol463 = [2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol464 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol465 = [1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol466 = [0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol467 = [0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol468 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol469 = [2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol470 = [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol471 = [2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1] pubkeycol472 = [0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol473 = [1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol474 = [2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol475 = [2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol476 = [1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol477 = [0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1] pubkeycol478 = [0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0] pubkeycol479 = [2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol480 = [2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol481 = [2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol482 = [2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol483 = [2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol484 = [1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol485 = [2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0] pubkeycol486 = [0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol487 = [0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol488 = [2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol489 = [0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol490 = [1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol491 = [0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0] pubkeycol492 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol493 = [1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol494 = [0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol495 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2] pubkeycol496 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol497 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol498 = [2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol499 = [2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol500 = [2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol501 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol502 = [0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol503 = [2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol504 = [2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol505 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol506 = [0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol507 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol508 = [1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1] pubkeycol509 = [2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol510 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol511 = [2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol512 = [0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol513 = [1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2] pubkeycol514 = [2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol515 = [1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol516 = [0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol517 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol518 = [1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol519 = [1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol520 = [2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2] pubkeycol521 = [1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol522 = [2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol523 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol524 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol525 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol526 = [2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol527 = [0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol528 = [1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol529 = [2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol530 = [0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol531 = [0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol532 = [1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol533 = [2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol534 = [2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol535 = [0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol536 = [1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol537 = [2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol538 = [1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol539 = [2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol540 = [1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol541 = [1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol542 = [2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol543 = [1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol544 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol545 = [2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol546 = [0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol547 = [1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol548 = [0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol549 = [2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0] pubkeycol550 = [2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1] pubkeycol551 = [2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol552 = [1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol553 = [1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol554 = [2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol555 = [0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol556 = [2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol557 = [0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol558 = [2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol559 = [2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol560 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol561 = [0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1] pubkeycol562 = [2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol563 = [2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol564 = [1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol565 = [1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol566 = [2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol567 = [1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol568 = [0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1] pubkeycol569 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol570 = [1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol571 = [2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol572 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol573 = [2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol574 = [1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol575 = [2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol576 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol577 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol578 = [2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0] pubkeycol579 = [1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol580 = [2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol581 = [1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol582 = [0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol583 = [2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol584 = [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0] pubkeycol585 = [0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol586 = [1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol587 = [0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol588 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol589 = [0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1] pubkeycol590 = [2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol591 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol592 = [0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol593 = [1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol594 = [0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol595 = [0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol596 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol597 = [1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol598 = [0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol599 = [2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol600 = [1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol601 = [0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol602 = [1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol603 = [0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol604 = [2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2] pubkeycol605 = [2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol606 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol607 = [2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol608 = [0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol609 = [1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol610 = [1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol611 = [2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol612 = [1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol613 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol614 = [0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol615 = [1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2] pubkeycol616 = [1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol617 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol618 = [0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol619 = [2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol620 = [2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol621 = [0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol622 = [0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol623 = [2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol624 = [0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol625 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol626 = [1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol627 = [1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol628 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol629 = [2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1] pubkeycol630 = [2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol631 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol632 = [1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol633 = [2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol634 = [0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol635 = [2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol636 = [2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol637 = [1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol638 = [1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol639 = [0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0] pubkeycol640 = [2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol641 = [0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol642 = [1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1] pubkeycol643 = [1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol644 = [2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0] pubkeycol645 = [1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol646 = [0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol647 = [1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol648 = [0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol649 = [0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol650 = [1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol651 = [0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol652 = [0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol653 = [2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol654 = [0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol655 = [2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol656 = [2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol657 = [1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol658 = [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol659 = [1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol660 = [2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol661 = [2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1] pubkeycol662 = [2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol663 = [1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol664 = [0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol665 = [2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1] pubkeycol666 = [2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2] pubkeycol667 = [1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol668 = [1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol669 = [2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol670 = [2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol671 = [1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol672 = [0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol673 = [1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol674 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol675 = [0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol676 = [2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol677 = [1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol678 = [0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol679 = [2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol680 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol681 = [1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol682 = [2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol683 = [1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol684 = [2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol685 = [0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol686 = [0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol687 = [2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol688 = [1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol689 = [0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol690 = [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol691 = [2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol692 = [1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol693 = [1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol694 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol695 = [2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol696 = [2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol697 = [1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol698 = [2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol699 = [1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol700 = [1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol701 = [2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol702 = [1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol703 = [0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol704 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol705 = [0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol706 = [1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol707 = [0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol708 = [1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol709 = [0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol710 = [0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol711 = [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0] pubkeycol712 = [0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol713 = [2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol714 = [0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol715 = [2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol716 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol717 = [1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol718 = [0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol719 = [2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol720 = [2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol721 = [2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol722 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0] pubkeycol723 = [1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol724 = [1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol725 = [2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol726 = [2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol727 = [2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol728 = [0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1] pubkeycol729 = [2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol730 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol731 = [0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol732 = [2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol733 = [1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2] pubkeycol734 = [2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol735 = [0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol736 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol737 = [1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol738 = [2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol739 = [2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol740 = [2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol741 = [2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol742 = [0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol743 = [2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol744 = [2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol745 = [0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol746 = [0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol747 = [0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol748 = [2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol749 = [2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol750 = [1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol751 = [1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0] pubkeycol752 = [1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol753 = [0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol754 = [0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol755 = [1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol756 = [2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol757 = [2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol758 = [1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol759 = [1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol760 = [1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol761 = [2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol762 = [1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol763 = [1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol764 = [2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2] pubkeycol765 = [0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol766 = [2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol767 = [2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol768 = [1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol769 = [1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol770 = [0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol771 = [1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1] pubkeycol772 = [0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol773 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol774 = [1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol775 = [2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol776 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol777 = [2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol778 = [1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0] pubkeycol779 = [0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol780 = [0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol781 = [1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol782 = [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol783 = [2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol784 = [0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol785 = [2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol786 = [0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol787 = [2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol788 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol789 = [0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol790 = [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol791 = [1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol792 = [2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol793 = [0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol794 = [2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2] pubkeycol795 = [1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol796 = [1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol797 = [2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol798 = [1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol799 = [2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol800 = [0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol801 = [2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol802 = [2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0] pubkeycol803 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol804 = [2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2] pubkeycol805 = [0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol806 = [2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0] pubkeycol807 = [0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol808 = [2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol809 = [0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol810 = [1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol811 = [2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol812 = [1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol813 = [1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol814 = [1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol815 = [2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol816 = [2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol817 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol818 = [2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol819 = [1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol820 = [2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol821 = [0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol822 = [2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol823 = [1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol824 = [2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol825 = [2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol826 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol827 = [0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol828 = [0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol829 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol830 = [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol831 = [2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol832 = [1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol833 = [1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol834 = [2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol835 = [2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol836 = [2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol837 = [1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol838 = [1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol839 = [2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol840 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0] pubkeycol841 = [0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1] pubkeycol842 = [0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0] pubkeycol843 = [2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol844 = [1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol845 = [1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol846 = [2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol847 = [2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol848 = [0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1] pubkeycol849 = [1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol850 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol851 = [0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol852 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol853 = [0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol854 = [1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol855 = [0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol856 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol857 = [2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol858 = [1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol859 = [2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol860 = [2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol861 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol862 = [0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol863 = [2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol864 = [1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol865 = [2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol866 = [0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol867 = [2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol868 = [1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol869 = [2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol870 = [1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol871 = [2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol872 = [2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol873 = [2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0] pubkeycol874 = [2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol875 = [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol876 = [0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol877 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol878 = [0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol879 = [2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol880 = [0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol881 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol882 = [0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol883 = [1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol884 = [0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol885 = [1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol886 = [1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol887 = [1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0] pubkeycol888 = [2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2] pubkeycol889 = [1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol890 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol891 = [0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol892 = [1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol893 = [0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol894 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol895 = [0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol896 = [0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol897 = [0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol898 = [1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol899 = [0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol900 = [1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol901 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol902 = [2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol903 = [1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol904 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol905 = [2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol906 = [0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol907 = [1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol908 = [0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0] pubkeycol909 = [0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol910 = [0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol911 = [1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol912 = [1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol913 = [0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol914 = [0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1] pubkeycol915 = [1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol916 = [1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol917 = [2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1] pubkeycol918 = [0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol919 = [1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol920 = [2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol921 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol922 = [2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol923 = [2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol924 = [0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol925 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1] pubkeycol926 = [2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol927 = [0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol928 = [1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol929 = [1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol930 = [1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol931 = [0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol932 = [2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol933 = [0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol934 = [2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol935 = [0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol936 = [1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol937 = [2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol938 = [2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol939 = [2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol940 = [1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol941 = [0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol942 = [0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol943 = [1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol944 = [0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol945 = [0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol946 = [1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol947 = [1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol948 = [2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol949 = [0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2] pubkeycol950 = [0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol951 = [1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol952 = [0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol953 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol954 = [0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol955 = [0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol956 = [1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol957 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol958 = [1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol959 = [0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol960 = [1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol961 = [0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol962 = [1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol963 = [2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol964 = [0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0] pubkeycol965 = [2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol966 = [0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol967 = [0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0] pubkeycol968 = [1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2] pubkeycol969 = [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol970 = [1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol971 = [1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol972 = [0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol973 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol974 = [2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol975 = [1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1] pubkeycol976 = [1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1] pubkeycol977 = [1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol978 = [0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol979 = [2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol980 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1] pubkeycol981 = [1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol982 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol983 = [0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol984 = [1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2] pubkeycol985 = [2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol986 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol987 = [0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol988 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol989 = [2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1] pubkeycol990 = [2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol991 = [1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol992 = [2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol993 = [0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol994 = [2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol995 = [2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol996 = [0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol997 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol998 = [1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0] pubkeycol999 = [1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol1000 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1] pubkeycol1001 = [2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol1002 = [2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol1003 = [0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol1004 = [0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0] pubkeycol1005 = [0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol1006 = [0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol1007 = [2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol1008 = [2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol1009 = [2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol1010 = [0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol1011 = [0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2] pubkeycol1012 = [1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol1013 = [0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol1014 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol1015 = [0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0] pubkeycol1016 = [1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0] pubkeycol1017 = [1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol1018 = [1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol1019 = [0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol1020 = [1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol1021 = [2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol1022 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0] pubkeycol1023 = [2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol1024 = [0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol1025 = [2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol1026 = [2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1027 = [2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2] pubkeycol1028 = [0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol1029 = [1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol1030 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol1031 = [0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol1032 = [2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol1033 = [1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol1034 = [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol1035 = [0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1036 = [1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol1037 = [2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol1038 = [2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol1039 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol1040 = [2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol1041 = [2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol1042 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol1043 = [0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol1044 = [2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol1045 = [0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol1046 = [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol1047 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol1048 = [2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2] pubkeycol1049 = [1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol1050 = [0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol1051 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol1052 = [0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol1053 = [2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol1054 = [1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1] pubkeycol1055 = [1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol1056 = [0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol1057 = [0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol1058 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol1059 = [2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1060 = [1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol1061 = [1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol1062 = [0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol1063 = [2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol1064 = [2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol1065 = [1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol1066 = [0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1067 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2]