kilobytes = 37.9810569569786 q = 3 m = 7 n = 1031 s = 0 t = 18 u = 36 k = 779 w = 27 ciphertext = [2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol252 = [2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol253 = [1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol254 = [0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol255 = [2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol256 = [1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol257 = [2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol258 = [1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol259 = [0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol260 = [0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol261 = [2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol262 = [2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1] pubkeycol263 = [1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol264 = [0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol265 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol266 = [0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol267 = [0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol268 = [2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol269 = [2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol270 = [2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol271 = [1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol272 = [0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol273 = [1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol274 = [1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol275 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol276 = [2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol277 = [2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol278 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol279 = [1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol280 = [1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol281 = [2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0] pubkeycol282 = [0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1] pubkeycol283 = [2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol284 = [2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol285 = [1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol286 = [0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol287 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol288 = [0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1] pubkeycol289 = [1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol290 = [0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol291 = [0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1] pubkeycol292 = [0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol293 = [2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol294 = [0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol295 = [0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol296 = [0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol297 = [0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0] pubkeycol298 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol299 = [0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol300 = [0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol301 = [2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol302 = [2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol303 = [1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol304 = [1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol305 = [1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1] pubkeycol306 = [0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol307 = [0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol308 = [1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0] pubkeycol309 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol310 = [0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol311 = [1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol312 = [2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol313 = [2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol314 = [1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol315 = [0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol316 = [0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol317 = [1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol318 = [2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1] pubkeycol319 = [1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol320 = [1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol321 = [0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol322 = [1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol323 = [1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1] pubkeycol324 = [1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol325 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol326 = [1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol327 = [1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol328 = [2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol329 = [0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1] pubkeycol330 = [0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol331 = [0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0] pubkeycol332 = [2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol333 = [0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol334 = [0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol335 = [0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol336 = [2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1] pubkeycol337 = [0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol338 = [1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol339 = [0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol340 = [0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol341 = [1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol342 = [2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol343 = [2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol344 = [2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol345 = [0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol346 = [0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol347 = [2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol348 = [1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol349 = [2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol350 = [2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol351 = [1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol352 = [2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol353 = [0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol354 = [2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1] pubkeycol355 = [2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0] pubkeycol356 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol357 = [2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol358 = [2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol359 = [0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol360 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol361 = [1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol362 = [1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol363 = [0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol364 = [2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol365 = [0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol366 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol367 = [0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol368 = [1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol369 = [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol370 = [1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol371 = [2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol372 = [2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol373 = [2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol374 = [0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol375 = [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol376 = [2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol377 = [1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol378 = [2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0] pubkeycol379 = [0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol380 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol381 = [1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2] pubkeycol382 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol383 = [2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol384 = [2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol385 = [2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol386 = [2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol387 = [2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol388 = [2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol389 = [0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol390 = [2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0] pubkeycol391 = [1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol392 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol393 = [1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol394 = [1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol395 = [0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol396 = [1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol397 = [0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol398 = [1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0] pubkeycol399 = [0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol400 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol401 = [1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol402 = [1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol403 = [1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol404 = [0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol405 = [0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol406 = [0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol407 = [1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2] pubkeycol408 = [1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol409 = [2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol410 = [2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol411 = [0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol412 = [1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol413 = [0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol414 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol415 = [2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol416 = [0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol417 = [0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol418 = [1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol419 = [1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol420 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol421 = [2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol422 = [2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol423 = [1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol424 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol425 = [2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol426 = [2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol427 = [0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol428 = [2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2] pubkeycol429 = [1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol430 = [0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol431 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol432 = [0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1] pubkeycol433 = [0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol434 = [0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol435 = [2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol436 = [1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol437 = [2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol438 = [1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol439 = [1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol440 = [2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol441 = [2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol442 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol443 = [0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2] pubkeycol444 = [0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol445 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol446 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol447 = [2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol448 = [1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol449 = [1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2] pubkeycol450 = [1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol451 = [1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol452 = [1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol453 = [1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol454 = [1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0] pubkeycol455 = [1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol456 = [2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol457 = [0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol458 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2] pubkeycol459 = [1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol460 = [0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol461 = [0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2] pubkeycol462 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol463 = [2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol464 = [2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol465 = [1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol466 = [1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol467 = [0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol468 = [0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol469 = [1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol470 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2] pubkeycol471 = [0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1] pubkeycol472 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol473 = [2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol474 = [2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol475 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol476 = [2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1] pubkeycol477 = [0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol478 = [0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol479 = [0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol480 = [2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2] pubkeycol481 = [2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol482 = [1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol483 = [1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol484 = [2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol485 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol486 = [0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol487 = [1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol488 = [2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol489 = [1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2] pubkeycol490 = [2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol491 = [0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol492 = [0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol493 = [0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol494 = [0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol495 = [1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol496 = [2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol497 = [1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol498 = [2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol499 = [0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol500 = [1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol501 = [2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol502 = [1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol503 = [1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol504 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol505 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol506 = [1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0] pubkeycol507 = [0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol508 = [2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol509 = [1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol510 = [1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol511 = [0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol512 = [2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol513 = [2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol514 = [2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol515 = [1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol516 = [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol517 = [0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1] pubkeycol518 = [0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0] pubkeycol519 = [0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol520 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol521 = [1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol522 = [2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol523 = [1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol524 = [2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol525 = [2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol526 = [0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol527 = [2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1] pubkeycol528 = [2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol529 = [0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol530 = [0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol531 = [1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol532 = [0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol533 = [1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol534 = [2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol535 = [2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1] pubkeycol536 = [1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol537 = [0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol538 = [1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol539 = [2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol540 = [1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol541 = [1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol542 = [2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol543 = [0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol544 = [0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2] pubkeycol545 = [1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol546 = [2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol547 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol548 = [2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol549 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol550 = [0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol551 = [2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol552 = [1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol553 = [2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol554 = [1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol555 = [1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol556 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol557 = [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol558 = [0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol559 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol560 = [0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0] pubkeycol561 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol562 = [2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0] pubkeycol563 = [0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol564 = [0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol565 = [0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol566 = [1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol567 = [0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol568 = [1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol569 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol570 = [0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol571 = [0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol572 = [2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol573 = [1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol574 = [0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol575 = [1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol576 = [1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol577 = [1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol578 = [2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol579 = [1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol580 = [0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol581 = [0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol582 = [0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol583 = [1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol584 = [1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol585 = [2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol586 = [0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol587 = [1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0] pubkeycol588 = [1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol589 = [2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol590 = [1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol591 = [0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol592 = [2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol593 = [1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol594 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol595 = [2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol596 = [0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol597 = [2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol598 = [2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1] pubkeycol599 = [1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol600 = [2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol601 = [0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2] pubkeycol602 = [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol603 = [1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol604 = [2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol605 = [1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol606 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol607 = [0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol608 = [0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2] pubkeycol609 = [2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol610 = [0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol611 = [0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol612 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol613 = [0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol614 = [2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol615 = [2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol616 = [0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol617 = [0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol618 = [2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol619 = [2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol620 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol621 = [0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol622 = [1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol623 = [2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol624 = [2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol625 = [1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol626 = [1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol627 = [2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol628 = [2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol629 = [0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol630 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2] pubkeycol631 = [0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol632 = [0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol633 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol634 = [2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol635 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol636 = [2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol637 = [0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol638 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol639 = [2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol640 = [0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol641 = [2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol642 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol643 = [2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol644 = [1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol645 = [1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2] pubkeycol646 = [1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol647 = [0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol648 = [0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol649 = [0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol650 = [2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol651 = [1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol652 = [2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol653 = [2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol654 = [2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol655 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol656 = [1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol657 = [2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol658 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol659 = [0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol660 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0] pubkeycol661 = [2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol662 = [2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol663 = [1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol664 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol665 = [2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol666 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol667 = [0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol668 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol669 = [0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol670 = [0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol671 = [2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol672 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2] pubkeycol673 = [1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol674 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0] pubkeycol675 = [2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol676 = [0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol677 = [1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol678 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol679 = [1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol680 = [2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol681 = [2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol682 = [0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol683 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol684 = [2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol685 = [0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol686 = [1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol687 = [2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol688 = [1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0] pubkeycol689 = [2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol690 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol691 = [2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol692 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol693 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol694 = [1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0] pubkeycol695 = [1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol696 = [2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol697 = [1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol698 = [1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol699 = [0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol700 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol701 = [1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol702 = [2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol703 = [0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol704 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol705 = [1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol706 = [1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol707 = [0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol708 = [0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol709 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol710 = [0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol711 = [1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol712 = [0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol713 = [0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1] pubkeycol714 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol715 = [2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol716 = [2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol717 = [0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol718 = [1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol719 = [2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0] pubkeycol720 = [2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol721 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol722 = [0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol723 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2] pubkeycol724 = [0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol725 = [0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol726 = [0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol727 = [2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol728 = [0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol729 = [0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol730 = [0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol731 = [2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol732 = [0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol733 = [2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2] pubkeycol734 = [2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol735 = [1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0] pubkeycol736 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol737 = [2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2] pubkeycol738 = [2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol739 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol740 = [2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol741 = [0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol742 = [2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol743 = [2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol744 = [1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol745 = [0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol746 = [0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1] pubkeycol747 = [2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol748 = [0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol749 = [1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol750 = [2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol751 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol752 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol753 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol754 = [0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol755 = [2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol756 = [0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol757 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2] pubkeycol758 = [0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol759 = [2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol760 = [2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol761 = [2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol762 = [0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol763 = [0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol764 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol765 = [2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol766 = [0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0] pubkeycol767 = [0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0] pubkeycol768 = [1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol769 = [0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol770 = [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol771 = [1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1] pubkeycol772 = [2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol773 = [2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol774 = [1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol775 = [1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1] pubkeycol776 = [1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol777 = [0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol778 = [1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol779 = [2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol780 = [0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol781 = [1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol782 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol783 = [1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol784 = [0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol785 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol786 = [2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol787 = [0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol788 = [1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol789 = [0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol790 = [0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol791 = [2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2] pubkeycol792 = [1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol793 = [1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol794 = [1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol795 = [1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol796 = [2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2] pubkeycol797 = [0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol798 = [1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol799 = [2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol800 = [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol801 = [1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0] pubkeycol802 = [0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol803 = [0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol804 = [1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol805 = [1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol806 = [1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol807 = [2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1] pubkeycol808 = [1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol809 = [2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol810 = [0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1] pubkeycol811 = [2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol812 = [0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol813 = [2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol814 = [1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol815 = [2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol816 = [1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol817 = [2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol818 = [0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol819 = [0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol820 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol821 = [1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2] pubkeycol822 = [0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1] pubkeycol823 = [1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol824 = [1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol825 = [1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol826 = [0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol827 = [2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol828 = [1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol829 = [2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol830 = [0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol831 = [2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol832 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol833 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol834 = [1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol835 = [1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol836 = [2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol837 = [1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol838 = [2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol839 = [2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol840 = [1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1] pubkeycol841 = [2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol842 = [2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol843 = [2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol844 = [1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol845 = [2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol846 = [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol847 = [1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol848 = [2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol849 = [0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0] pubkeycol850 = [2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol851 = [2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol852 = [0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0] pubkeycol853 = [1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol854 = [0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol855 = [1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol856 = [0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol857 = [0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2] pubkeycol858 = [0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol859 = [0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol860 = [2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol861 = [2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol862 = [1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol863 = [2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol864 = [1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol865 = [2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol866 = [0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol867 = [1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol868 = [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol869 = [2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol870 = [2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol871 = [2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol872 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol873 = [0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol874 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol875 = [2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol876 = [2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol877 = [0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol878 = [2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1] pubkeycol879 = [2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol880 = [2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol881 = [0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol882 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol883 = [1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol884 = [0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol885 = [1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol886 = [0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol887 = [1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol888 = [1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol889 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol890 = [1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol891 = [0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol892 = [0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol893 = [1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol894 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol895 = [1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol896 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol897 = [2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol898 = [2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol899 = [0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol900 = [0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0] pubkeycol901 = [0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol902 = [2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol903 = [2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol904 = [0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol905 = [1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0] pubkeycol906 = [1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol907 = [1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol908 = [2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol909 = [0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol910 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol911 = [2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol912 = [1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol913 = [0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol914 = [1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol915 = [2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol916 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol917 = [1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol918 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2] pubkeycol919 = [2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol920 = [1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol921 = [1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol922 = [0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol923 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol924 = [2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol925 = [2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol926 = [2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol927 = [0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol928 = [0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol929 = [2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol930 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol931 = [1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol932 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol933 = [0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2] pubkeycol934 = [1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0] pubkeycol935 = [1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0] pubkeycol936 = [1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol937 = [2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol938 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol939 = [2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1] pubkeycol940 = [1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol941 = [0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol942 = [2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol943 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol944 = [0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol945 = [2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol946 = [1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol947 = [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol948 = [1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2] pubkeycol949 = [2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol950 = [0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol951 = [2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol952 = [2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol953 = [2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol954 = [2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol955 = [0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol956 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol957 = [1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol958 = [0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol959 = [1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol960 = [0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol961 = [2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol962 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1] pubkeycol963 = [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2] pubkeycol964 = [0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol965 = [1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol966 = [1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol967 = [1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol968 = [1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol969 = [2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol970 = [2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol971 = [0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol972 = [0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol973 = [1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol974 = [2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol975 = [1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol976 = [2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol977 = [2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol978 = [1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol979 = [1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol980 = [1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2] pubkeycol981 = [2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol982 = [1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol983 = [0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol984 = [2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol985 = [0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol986 = [1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol987 = [0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol988 = [2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol989 = [0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol990 = [0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol991 = [0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol992 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0] pubkeycol993 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol994 = [2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol995 = [2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol996 = [2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol997 = [0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol998 = [2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol999 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol1000 = [2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol1001 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol1002 = [1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol1003 = [0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol1004 = [1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1005 = [2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol1006 = [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol1007 = [2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol1008 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol1009 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1] pubkeycol1010 = [2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol1011 = [0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol1012 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol1013 = [1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol1014 = [0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol1015 = [2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol1016 = [0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol1017 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol1018 = [0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1019 = [0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol1020 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol1021 = [2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol1022 = [2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol1023 = [2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol1024 = [0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol1025 = [2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol1026 = [2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol1027 = [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol1028 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0] pubkeycol1029 = [2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol1030 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0]