kilobytes = 37.0546897141255 q = 3 m = 7 n = 1012 s = 0 t = 18 u = 36 k = 760 w = 27 ciphertext = [1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol252 = [0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol253 = [0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol254 = [2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol255 = [2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0] pubkeycol256 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol257 = [1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol258 = [2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol259 = [1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol260 = [2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol261 = [0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol262 = [0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol263 = [0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol264 = [1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol265 = [2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol266 = [0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol267 = [0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol268 = [2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol269 = [0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol270 = [2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol271 = [2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol272 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol273 = [2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol274 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol275 = [0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol276 = [1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol277 = [1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol278 = [1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol279 = [1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol280 = [2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol281 = [1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol282 = [0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol283 = [2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol284 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol285 = [0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol286 = [0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol287 = [1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol288 = [0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol289 = [1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol290 = [0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2] pubkeycol291 = [1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol292 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol293 = [1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol294 = [0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol295 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol296 = [0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol297 = [2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol298 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol299 = [2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol300 = [0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol301 = [0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol302 = [0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol303 = [1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol304 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol305 = [0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol306 = [2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol307 = [0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol308 = [2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol309 = [2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol310 = [2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol311 = [2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol312 = [0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol313 = [1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol314 = [1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1] pubkeycol315 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol316 = [1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol317 = [2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol318 = [1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol319 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol320 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol321 = [0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol322 = [1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol323 = [2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol324 = [2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol325 = [0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol326 = [2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol327 = [2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0] pubkeycol328 = [0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol329 = [1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol330 = [2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol331 = [2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0] pubkeycol332 = [1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol333 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1] pubkeycol334 = [0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol335 = [0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol336 = [2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol337 = [0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol338 = [1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol339 = [0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol340 = [1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0] pubkeycol341 = [2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol342 = [1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol343 = [0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol344 = [1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol345 = [1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol346 = [2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol347 = [1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol348 = [1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol349 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1] pubkeycol350 = [1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol351 = [0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol352 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol353 = [1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol354 = [2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol355 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol356 = [1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol357 = [1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol358 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2] pubkeycol359 = [0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol360 = [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol361 = [2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol362 = [2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol363 = [1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol364 = [2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol365 = [1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol366 = [1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol367 = [2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol368 = [0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol369 = [0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol370 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1] pubkeycol371 = [1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol372 = [0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol373 = [2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol374 = [2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol375 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol376 = [0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol377 = [1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol378 = [1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol379 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol380 = [2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol381 = [1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol382 = [2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol383 = [0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol384 = [1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2] pubkeycol385 = [2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol386 = [0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0] pubkeycol387 = [2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol388 = [2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol389 = [0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol390 = [0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol391 = [1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol392 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol393 = [0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol394 = [1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol395 = [2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0] pubkeycol396 = [2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol397 = [1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol398 = [1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol399 = [2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol400 = [1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol401 = [2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2] pubkeycol402 = [0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol403 = [2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol404 = [0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol405 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol406 = [2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0] pubkeycol407 = [2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol408 = [1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol409 = [0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol410 = [2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol411 = [2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol412 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol413 = [0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol414 = [1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol415 = [2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol416 = [1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol417 = [2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol418 = [0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol419 = [2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol420 = [1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol421 = [2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0] pubkeycol422 = [0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol423 = [0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol424 = [1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol425 = [0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol426 = [2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2] pubkeycol427 = [1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol428 = [1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol429 = [0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol430 = [0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol431 = [1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol432 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol433 = [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol434 = [2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol435 = [1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol436 = [1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol437 = [1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol438 = [0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol439 = [2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol440 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol441 = [1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol442 = [0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol443 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol444 = [2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol445 = [0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol446 = [1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol447 = [1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol448 = [1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol449 = [0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol450 = [0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol451 = [0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol452 = [2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol453 = [2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol454 = [1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol455 = [2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol456 = [0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol457 = [2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol458 = [1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol459 = [2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol460 = [2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol461 = [0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol462 = [1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol463 = [2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol464 = [0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol465 = [2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol466 = [0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol467 = [1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol468 = [0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol469 = [1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol470 = [2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol471 = [2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol472 = [1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2] pubkeycol473 = [0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol474 = [0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol475 = [1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol476 = [2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol477 = [1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol478 = [2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol479 = [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol480 = [1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol481 = [2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol482 = [0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1] pubkeycol483 = [1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol484 = [1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0] pubkeycol485 = [0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol486 = [0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol487 = [0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol488 = [2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol489 = [2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol490 = [1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2] pubkeycol491 = [0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2] pubkeycol492 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol493 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol494 = [1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol495 = [0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol496 = [1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol497 = [2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol498 = [2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol499 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol500 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol501 = [1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol502 = [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol503 = [2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol504 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol505 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol506 = [1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol507 = [1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol508 = [1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol509 = [2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol510 = [2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0] pubkeycol511 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol512 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol513 = [2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol514 = [2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol515 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol516 = [0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol517 = [0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2] pubkeycol518 = [2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol519 = [2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol520 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol521 = [1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol522 = [0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol523 = [0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol524 = [2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol525 = [2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol526 = [2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1] pubkeycol527 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1] pubkeycol528 = [0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol529 = [0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol530 = [2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol531 = [0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol532 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol533 = [2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol534 = [2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol535 = [2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol536 = [2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol537 = [1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1] pubkeycol538 = [1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol539 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol540 = [0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol541 = [2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol542 = [1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol543 = [2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol544 = [1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol545 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol546 = [2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol547 = [2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol548 = [2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol549 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol550 = [1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol551 = [0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2] pubkeycol552 = [2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol553 = [0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol554 = [2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol555 = [1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol556 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol557 = [0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol558 = [1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol559 = [2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol560 = [2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol561 = [1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol562 = [1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol563 = [2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol564 = [0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol565 = [0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol566 = [0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol567 = [2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0] pubkeycol568 = [0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol569 = [2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol570 = [2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol571 = [0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol572 = [0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol573 = [1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol574 = [1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol575 = [0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol576 = [0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol577 = [1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol578 = [0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol579 = [2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2] pubkeycol580 = [1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol581 = [2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol582 = [1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol583 = [2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol584 = [1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol585 = [2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol586 = [0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol587 = [2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol588 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol589 = [2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol590 = [1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol591 = [0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol592 = [1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol593 = [0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol594 = [2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol595 = [1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol596 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol597 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol598 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol599 = [2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol600 = [0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol601 = [1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol602 = [2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol603 = [2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol604 = [0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol605 = [2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol606 = [2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol607 = [1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol608 = [0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol609 = [1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol610 = [1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol611 = [2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol612 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol613 = [2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0] pubkeycol614 = [0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol615 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol616 = [2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0] pubkeycol617 = [2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol618 = [2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol619 = [2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol620 = [0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol621 = [2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol622 = [2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol623 = [1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol624 = [1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol625 = [0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol626 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol627 = [2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol628 = [2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol629 = [1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol630 = [0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol631 = [0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol632 = [1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol633 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol634 = [0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol635 = [1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol636 = [2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1] pubkeycol637 = [1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol638 = [2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol639 = [0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol640 = [0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol641 = [1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol642 = [2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol643 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol644 = [0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol645 = [1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol646 = [1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol647 = [0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1] pubkeycol648 = [1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol649 = [1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol650 = [1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol651 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol652 = [2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol653 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol654 = [1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol655 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol656 = [2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol657 = [2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0] pubkeycol658 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol659 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol660 = [1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol661 = [0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol662 = [1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol663 = [1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol664 = [1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol665 = [2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol666 = [2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol667 = [0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol668 = [2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol669 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol670 = [0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol671 = [0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol672 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol673 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol674 = [2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol675 = [1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol676 = [0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol677 = [2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol678 = [1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol679 = [0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1] pubkeycol680 = [1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol681 = [1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol682 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol683 = [0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2] pubkeycol684 = [0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol685 = [1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol686 = [0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol687 = [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0] pubkeycol688 = [0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol689 = [2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol690 = [1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol691 = [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol692 = [2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol693 = [1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol694 = [1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0] pubkeycol695 = [2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol696 = [2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol697 = [2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1] pubkeycol698 = [0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2] pubkeycol699 = [1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol700 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol701 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol702 = [2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol703 = [2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol704 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol705 = [1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol706 = [0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol707 = [1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol708 = [2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol709 = [2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol710 = [2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol711 = [2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol712 = [2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol713 = [1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol714 = [0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol715 = [0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol716 = [2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol717 = [0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol718 = [2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol719 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol720 = [2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol721 = [1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol722 = [2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol723 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol724 = [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol725 = [1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol726 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol727 = [0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol728 = [1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol729 = [1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol730 = [2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol731 = [0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol732 = [0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol733 = [1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2] pubkeycol734 = [2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol735 = [2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol736 = [0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2] pubkeycol737 = [0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol738 = [1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol739 = [1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol740 = [0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol741 = [0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol742 = [1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol743 = [1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol744 = [0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol745 = [2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol746 = [1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol747 = [1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol748 = [2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol749 = [0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol750 = [0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol751 = [2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol752 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol753 = [2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol754 = [0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol755 = [2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol756 = [2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol757 = [1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2] pubkeycol758 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol759 = [1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol760 = [1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol761 = [2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol762 = [1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol763 = [2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol764 = [1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol765 = [2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol766 = [2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol767 = [1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol768 = [2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol769 = [0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol770 = [1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol771 = [1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0] pubkeycol772 = [2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol773 = [1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol774 = [1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol775 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol776 = [0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol777 = [0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol778 = [1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol779 = [2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol780 = [2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol781 = [1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol782 = [1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol783 = [0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol784 = [0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol785 = [1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol786 = [1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol787 = [1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol788 = [2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol789 = [2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol790 = [0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol791 = [0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol792 = [0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol793 = [1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol794 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol795 = [2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol796 = [2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol797 = [2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol798 = [2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol799 = [2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol800 = [1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1] pubkeycol801 = [2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol802 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol803 = [1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol804 = [0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol805 = [2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol806 = [0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol807 = [1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol808 = [0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol809 = [0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol810 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol811 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol812 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol813 = [2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol814 = [1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol815 = [1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2] pubkeycol816 = [0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol817 = [1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol818 = [2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol819 = [0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol820 = [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol821 = [0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol822 = [2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol823 = [0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2] pubkeycol824 = [1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol825 = [0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol826 = [0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol827 = [2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol828 = [0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol829 = [1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol830 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol831 = [1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol832 = [2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol833 = [0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol834 = [2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol835 = [2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol836 = [0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol837 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol838 = [2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol839 = [0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol840 = [2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol841 = [2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol842 = [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2] pubkeycol843 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol844 = [2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol845 = [1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol846 = [0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol847 = [0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2] pubkeycol848 = [0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol849 = [1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol850 = [1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol851 = [0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol852 = [2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol853 = [1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol854 = [2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol855 = [2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol856 = [0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol857 = [0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1] pubkeycol858 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol859 = [2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol860 = [2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol861 = [1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol862 = [0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol863 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol864 = [0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol865 = [2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol866 = [1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol867 = [0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol868 = [0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol869 = [1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol870 = [2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0] pubkeycol871 = [1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol872 = [1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1] pubkeycol873 = [0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol874 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol875 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol876 = [1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol877 = [1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2] pubkeycol878 = [0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol879 = [0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol880 = [0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol881 = [0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol882 = [2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol883 = [0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol884 = [2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol885 = [0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol886 = [0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol887 = [1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol888 = [2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol889 = [0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol890 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol891 = [2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol892 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol893 = [1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol894 = [2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol895 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol896 = [2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol897 = [1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol898 = [0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol899 = [1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol900 = [2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1] pubkeycol901 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol902 = [0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol903 = [1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol904 = [2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol905 = [1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol906 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol907 = [1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol908 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol909 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol910 = [2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol911 = [2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol912 = [1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol913 = [0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0] pubkeycol914 = [2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol915 = [2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol916 = [2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol917 = [0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol918 = [2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol919 = [0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol920 = [2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2] pubkeycol921 = [0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol922 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol923 = [1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol924 = [2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol925 = [2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol926 = [0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol927 = [2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol928 = [1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0] pubkeycol929 = [0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol930 = [1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol931 = [0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol932 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol933 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol934 = [1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol935 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol936 = [1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol937 = [1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol938 = [2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol939 = [0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol940 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol941 = [0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol942 = [2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol943 = [0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol944 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol945 = [0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol946 = [2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol947 = [0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol948 = [0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol949 = [0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol950 = [0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0] pubkeycol951 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol952 = [1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol953 = [2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol954 = [2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol955 = [0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol956 = [1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol957 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0] pubkeycol958 = [0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol959 = [1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol960 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol961 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol962 = [2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol963 = [0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol964 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol965 = [1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol966 = [0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol967 = [2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol968 = [0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol969 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol970 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol971 = [0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol972 = [2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol973 = [0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol974 = [1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol975 = [1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol976 = [1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol977 = [1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol978 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol979 = [0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol980 = [1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol981 = [0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol982 = [2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol983 = [1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol984 = [0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol985 = [0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol986 = [2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol987 = [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol988 = [1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol989 = [1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol990 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol991 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol992 = [2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol993 = [2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol994 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol995 = [2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol996 = [2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol997 = [2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol998 = [2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol999 = [2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol1000 = [1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol1001 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol1002 = [0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol1003 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol1004 = [2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol1005 = [2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol1006 = [0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol1007 = [2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol1008 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol1009 = [2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol1010 = [0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol1011 = [0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0]