kilobytes = 39.9800599547143 q = 3 m = 7 n = 1072 s = 0 t = 18 u = 36 k = 820 w = 27 ciphertext = [0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol252 = [2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol253 = [1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1] pubkeycol254 = [1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol255 = [0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol256 = [1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol257 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol258 = [0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol259 = [2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol260 = [0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol261 = [1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol262 = [2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol263 = [0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol264 = [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol265 = [2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol266 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol267 = [2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol268 = [2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol269 = [1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol270 = [0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol271 = [2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol272 = [0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol273 = [0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol274 = [1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol275 = [2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol276 = [2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol277 = [1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol278 = [0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol279 = [1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol280 = [0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol281 = [0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol282 = [2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0] pubkeycol283 = [0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol284 = [2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol285 = [2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol286 = [1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1] pubkeycol287 = [2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol288 = [1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol289 = [2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol290 = [0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol291 = [2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol292 = [1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol293 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol294 = [1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol295 = [1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol296 = [2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol297 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1] pubkeycol298 = [0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol299 = [2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol300 = [1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1] pubkeycol301 = [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol302 = [1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol303 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol304 = [1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol305 = [0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol306 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol307 = [2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol308 = [2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol309 = [0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol310 = [0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol311 = [2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol312 = [2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol313 = [2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol314 = [0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol315 = [2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol316 = [2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol317 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol318 = [0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol319 = [2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol320 = [1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol321 = [0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol322 = [0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol323 = [1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol324 = [2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol325 = [0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol326 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol327 = [0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol328 = [1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol329 = [0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol330 = [2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol331 = [0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol332 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol333 = [0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol334 = [2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol335 = [2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol336 = [0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0] pubkeycol337 = [2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol338 = [1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol339 = [0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol340 = [2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol341 = [1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol342 = [2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol343 = [1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol344 = [2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol345 = [0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol346 = [2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol347 = [2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol348 = [0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol349 = [2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol350 = [2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol351 = [1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol352 = [2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol353 = [1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol354 = [0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol355 = [1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol356 = [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol357 = [1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol358 = [1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol359 = [2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol360 = [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol361 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol362 = [2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol363 = [1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol364 = [0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol365 = [1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol366 = [0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2] pubkeycol367 = [0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol368 = [2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol369 = [2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol370 = [2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol371 = [1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol372 = [2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol373 = [1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol374 = [2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol375 = [0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol376 = [2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0] pubkeycol377 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol378 = [2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0] pubkeycol379 = [1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol380 = [1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol381 = [0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol382 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2] pubkeycol383 = [0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol384 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol385 = [0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol386 = [2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2] pubkeycol387 = [0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol388 = [2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol389 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0] pubkeycol390 = [0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol391 = [2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol392 = [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol393 = [2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol394 = [2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol395 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol396 = [2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol397 = [0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol398 = [2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol399 = [1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol400 = [2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1] pubkeycol401 = [1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol402 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol403 = [0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol404 = [2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol405 = [1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol406 = [2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol407 = [0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0] pubkeycol408 = [1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol409 = [1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol410 = [1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol411 = [1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol412 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol413 = [2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol414 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol415 = [1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0] pubkeycol416 = [0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol417 = [0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol418 = [0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol419 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol420 = [0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol421 = [2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol422 = [0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol423 = [2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol424 = [2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol425 = [0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol426 = [0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol427 = [2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol428 = [1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol429 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol430 = [2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol431 = [2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol432 = [0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1] pubkeycol433 = [0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol434 = [2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol435 = [2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol436 = [1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol437 = [0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol438 = [0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol439 = [1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol440 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol441 = [1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol442 = [1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2] pubkeycol443 = [2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol444 = [1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol445 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol446 = [2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol447 = [0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol448 = [2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2] pubkeycol449 = [2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol450 = [1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol451 = [0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol452 = [1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol453 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol454 = [2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol455 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol456 = [1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol457 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol458 = [1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1] pubkeycol459 = [0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0] pubkeycol460 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2] pubkeycol461 = [1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol462 = [2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol463 = [1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol464 = [2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol465 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol466 = [1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol467 = [2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol468 = [1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2] pubkeycol469 = [1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol470 = [0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol471 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol472 = [0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1] pubkeycol473 = [1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol474 = [1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol475 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol476 = [1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol477 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol478 = [1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol479 = [1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol480 = [0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol481 = [1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0] pubkeycol482 = [1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol483 = [1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol484 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1] pubkeycol485 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol486 = [0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1] pubkeycol487 = [0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol488 = [2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol489 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol490 = [0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol491 = [2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol492 = [0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0] pubkeycol493 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol494 = [0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol495 = [0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol496 = [2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol497 = [0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol498 = [0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol499 = [1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol500 = [1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol501 = [2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0] pubkeycol502 = [0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol503 = [2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol504 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol505 = [0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol506 = [0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol507 = [1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol508 = [1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol509 = [0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol510 = [1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol511 = [1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol512 = [1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol513 = [0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol514 = [2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol515 = [1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol516 = [2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol517 = [0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol518 = [2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol519 = [2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol520 = [1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol521 = [0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol522 = [0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol523 = [1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol524 = [1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol525 = [0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol526 = [1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol527 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2] pubkeycol528 = [2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol529 = [0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol530 = [2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol531 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol532 = [0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol533 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol534 = [0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol535 = [2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol536 = [2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol537 = [1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol538 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol539 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol540 = [2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol541 = [2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol542 = [1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol543 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol544 = [0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol545 = [2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol546 = [2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol547 = [1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol548 = [1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol549 = [2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2] pubkeycol550 = [2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol551 = [1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1] pubkeycol552 = [2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol553 = [0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol554 = [1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol555 = [1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol556 = [1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol557 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol558 = [2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol559 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol560 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2] pubkeycol561 = [2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol562 = [0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol563 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol564 = [2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol565 = [0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol566 = [0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol567 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol568 = [2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol569 = [2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol570 = [1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol571 = [2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol572 = [1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol573 = [2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol574 = [1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol575 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1] pubkeycol576 = [2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol577 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol578 = [2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol579 = [1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol580 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol581 = [0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol582 = [0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol583 = [2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol584 = [2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol585 = [0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol586 = [0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1] pubkeycol587 = [0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol588 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol589 = [2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol590 = [1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol591 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol592 = [1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol593 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol594 = [2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol595 = [1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol596 = [1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol597 = [1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol598 = [1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol599 = [2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol600 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol601 = [2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol602 = [1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol603 = [2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol604 = [1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol605 = [1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol606 = [1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1] pubkeycol607 = [0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol608 = [1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol609 = [0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol610 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol611 = [2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol612 = [2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol613 = [1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol614 = [1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol615 = [1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol616 = [2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol617 = [0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol618 = [0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol619 = [1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0] pubkeycol620 = [2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol621 = [0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol622 = [2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol623 = [0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol624 = [0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol625 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol626 = [2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol627 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol628 = [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol629 = [1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol630 = [2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol631 = [1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol632 = [1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol633 = [2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol634 = [1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol635 = [2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2] pubkeycol636 = [1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol637 = [0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol638 = [0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol639 = [2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol640 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol641 = [1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol642 = [0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol643 = [1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1] pubkeycol644 = [2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol645 = [2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol646 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol647 = [0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol648 = [1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol649 = [1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol650 = [2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol651 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol652 = [2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol653 = [2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol654 = [2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol655 = [2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol656 = [1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol657 = [1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol658 = [2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol659 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol660 = [2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol661 = [2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol662 = [2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol663 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol664 = [0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol665 = [1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol666 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol667 = [0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol668 = [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol669 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0] pubkeycol670 = [0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol671 = [1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0] pubkeycol672 = [1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1] pubkeycol673 = [2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2] pubkeycol674 = [1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol675 = [1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol676 = [2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol677 = [1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol678 = [0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol679 = [0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol680 = [2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol681 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol682 = [0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0] pubkeycol683 = [1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol684 = [2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol685 = [1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol686 = [0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol687 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol688 = [2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol689 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol690 = [2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol691 = [2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol692 = [1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol693 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2] pubkeycol694 = [0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1] pubkeycol695 = [2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol696 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol697 = [1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol698 = [2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol699 = [0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1] pubkeycol700 = [2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol701 = [2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1] pubkeycol702 = [1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2] pubkeycol703 = [2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol704 = [0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol705 = [0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol706 = [0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol707 = [0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0] pubkeycol708 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol709 = [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol710 = [1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol711 = [1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol712 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol713 = [1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol714 = [2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol715 = [2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol716 = [0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol717 = [0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol718 = [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol719 = [0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol720 = [2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1] pubkeycol721 = [0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol722 = [0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol723 = [0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol724 = [1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol725 = [1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol726 = [2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol727 = [1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol728 = [2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol729 = [2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol730 = [0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol731 = [0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol732 = [2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol733 = [2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol734 = [1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol735 = [2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol736 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2] pubkeycol737 = [0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol738 = [1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol739 = [0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol740 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol741 = [2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol742 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol743 = [0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol744 = [1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol745 = [2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol746 = [0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol747 = [1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol748 = [0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol749 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol750 = [0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol751 = [0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol752 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol753 = [2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol754 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2] pubkeycol755 = [2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol756 = [2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol757 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol758 = [1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol759 = [1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol760 = [0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol761 = [1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1] pubkeycol762 = [0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol763 = [1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol764 = [2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol765 = [1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2] pubkeycol766 = [1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0] pubkeycol767 = [1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol768 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol769 = [1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol770 = [1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1] pubkeycol771 = [1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol772 = [2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol773 = [2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol774 = [2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol775 = [1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol776 = [1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol777 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol778 = [2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol779 = [2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol780 = [1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol781 = [0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0] pubkeycol782 = [0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol783 = [2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol784 = [2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol785 = [0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0] pubkeycol786 = [0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol787 = [0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol788 = [2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol789 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol790 = [0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol791 = [2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol792 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol793 = [1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0] pubkeycol794 = [1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol795 = [2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol796 = [0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol797 = [1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol798 = [0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol799 = [2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol800 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol801 = [0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol802 = [0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol803 = [0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol804 = [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol805 = [1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol806 = [0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol807 = [0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol808 = [1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol809 = [2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol810 = [0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol811 = [1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol812 = [1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol813 = [2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol814 = [1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol815 = [0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol816 = [1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol817 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2] pubkeycol818 = [1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0] pubkeycol819 = [0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol820 = [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol821 = [1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol822 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol823 = [0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol824 = [2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol825 = [1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol826 = [1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol827 = [0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol828 = [2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol829 = [2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol830 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol831 = [2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol832 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol833 = [0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol834 = [1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol835 = [2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol836 = [1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol837 = [0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol838 = [0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol839 = [0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol840 = [0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol841 = [0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol842 = [2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol843 = [2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol844 = [0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol845 = [2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol846 = [0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol847 = [2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol848 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol849 = [2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol850 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol851 = [0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol852 = [1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol853 = [1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol854 = [2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol855 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol856 = [2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol857 = [0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol858 = [0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol859 = [0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol860 = [0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol861 = [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol862 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol863 = [2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol864 = [2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol865 = [2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol866 = [2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol867 = [0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol868 = [2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol869 = [2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol870 = [1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol871 = [2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol872 = [1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol873 = [2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1] pubkeycol874 = [0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol875 = [0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol876 = [1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol877 = [1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol878 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol879 = [0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol880 = [1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol881 = [2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol882 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol883 = [0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol884 = [2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol885 = [0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol886 = [2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol887 = [0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol888 = [1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol889 = [2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol890 = [0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol891 = [2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol892 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol893 = [1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol894 = [1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol895 = [0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol896 = [1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol897 = [2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol898 = [0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol899 = [1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol900 = [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol901 = [0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol902 = [0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol903 = [2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol904 = [2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol905 = [2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol906 = [0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol907 = [2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol908 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0] pubkeycol909 = [2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol910 = [2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol911 = [2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol912 = [0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol913 = [2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol914 = [0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol915 = [2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol916 = [0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0] pubkeycol917 = [0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol918 = [0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol919 = [0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol920 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol921 = [1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol922 = [0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol923 = [0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol924 = [0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol925 = [2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol926 = [0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol927 = [0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol928 = [1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol929 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol930 = [0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol931 = [0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol932 = [0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol933 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol934 = [2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol935 = [1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol936 = [2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol937 = [1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol938 = [0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol939 = [1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol940 = [1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol941 = [1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol942 = [1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol943 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol944 = [1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol945 = [1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol946 = [2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol947 = [0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol948 = [0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol949 = [2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol950 = [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol951 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol952 = [2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol953 = [2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol954 = [0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol955 = [1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol956 = [0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol957 = [2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol958 = [2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol959 = [2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol960 = [1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol961 = [0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol962 = [1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol963 = [1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol964 = [2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol965 = [0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol966 = [2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol967 = [0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol968 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol969 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol970 = [1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol971 = [1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol972 = [2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol973 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol974 = [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol975 = [0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol976 = [1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol977 = [0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol978 = [2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol979 = [0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol980 = [1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol981 = [2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol982 = [0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol983 = [0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol984 = [2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol985 = [2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol986 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol987 = [2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol988 = [0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol989 = [0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol990 = [0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol991 = [1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol992 = [0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol993 = [2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol994 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol995 = [0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol996 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol997 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol998 = [1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol999 = [0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol1000 = [1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol1001 = [0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1] pubkeycol1002 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol1003 = [1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol1004 = [1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol1005 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol1006 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0] pubkeycol1007 = [2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol1008 = [1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1] pubkeycol1009 = [2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1] pubkeycol1010 = [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol1011 = [2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol1012 = [1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0] pubkeycol1013 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol1014 = [2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol1015 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1] pubkeycol1016 = [1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol1017 = [2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol1018 = [1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol1019 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0] pubkeycol1020 = [0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol1021 = [1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol1022 = [1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0] pubkeycol1023 = [2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol1024 = [2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol1025 = [2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol1026 = [2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol1027 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol1028 = [1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol1029 = [1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2] pubkeycol1030 = [2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol1031 = [0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol1032 = [1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol1033 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol1034 = [0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1035 = [1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol1036 = [2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol1037 = [0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol1038 = [2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol1039 = [2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol1040 = [2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol1041 = [0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol1042 = [0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol1043 = [2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1044 = [0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol1045 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol1046 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol1047 = [1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol1048 = [1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol1049 = [2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol1050 = [2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1051 = [2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1] pubkeycol1052 = [0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol1053 = [1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol1054 = [1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol1055 = [2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1] pubkeycol1056 = [1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol1057 = [1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol1058 = [2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol1059 = [2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol1060 = [0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1061 = [1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol1062 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol1063 = [1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol1064 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol1065 = [2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol1066 = [2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol1067 = [0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol1068 = [0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol1069 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol1070 = [2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol1071 = [2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0]