kilobytes = 31.7890232810655 q = 3 m = 7 n = 904 s = 0 t = 18 u = 36 k = 652 w = 27 ciphertext = [0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol252 = [0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol253 = [1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol254 = [2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol255 = [0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol256 = [2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol257 = [0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol258 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1] pubkeycol259 = [1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2] pubkeycol260 = [0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol261 = [1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol262 = [0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol263 = [0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol264 = [2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2] pubkeycol265 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1] pubkeycol266 = [1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol267 = [0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol268 = [1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol269 = [0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol270 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol271 = [2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol272 = [1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol273 = [1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol274 = [1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol275 = [0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol276 = [0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol277 = [1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol278 = [1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol279 = [2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol280 = [2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol281 = [2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol282 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol283 = [2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol284 = [1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol285 = [0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol286 = [0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol287 = [1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol288 = [2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol289 = [0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol290 = [2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2] pubkeycol291 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol292 = [1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol293 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol294 = [1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol295 = [1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol296 = [2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol297 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol298 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol299 = [2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol300 = [0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol301 = [1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol302 = [2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol303 = [0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol304 = [0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol305 = [0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol306 = [1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol307 = [0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol308 = [1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol309 = [0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol310 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol311 = [0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol312 = [1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol313 = [0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol314 = [1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol315 = [0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol316 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol317 = [0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol318 = [0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol319 = [0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol320 = [2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol321 = [0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol322 = [1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0] pubkeycol323 = [0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2] pubkeycol324 = [2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol325 = [2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol326 = [0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol327 = [0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol328 = [2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0] pubkeycol329 = [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol330 = [1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol331 = [2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol332 = [1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol333 = [0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol334 = [1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0] pubkeycol335 = [0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol336 = [1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2] pubkeycol337 = [1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol338 = [2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol339 = [2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol340 = [1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol341 = [2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol342 = [1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol343 = [2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol344 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol345 = [1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol346 = [2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol347 = [2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1] pubkeycol348 = [0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol349 = [0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol350 = [2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol351 = [0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol352 = [2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol353 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol354 = [1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol355 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol356 = [2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol357 = [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol358 = [2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol359 = [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol360 = [0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol361 = [2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol362 = [1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol363 = [1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol364 = [0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol365 = [1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol366 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol367 = [0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol368 = [1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol369 = [1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0] pubkeycol370 = [1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol371 = [0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol372 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol373 = [2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2] pubkeycol374 = [0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol375 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol376 = [1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol377 = [1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol378 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol379 = [0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol380 = [1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol381 = [1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol382 = [2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol383 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol384 = [2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol385 = [1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol386 = [1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1] pubkeycol387 = [1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol388 = [0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol389 = [1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol390 = [1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol391 = [0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol392 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol393 = [2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol394 = [1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol395 = [1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol396 = [2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol397 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol398 = [2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol399 = [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol400 = [1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol401 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol402 = [1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol403 = [1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0] pubkeycol404 = [1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol405 = [1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol406 = [1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol407 = [1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol408 = [0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol409 = [2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol410 = [2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1] pubkeycol411 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol412 = [0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol413 = [0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol414 = [1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol415 = [0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol416 = [2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol417 = [1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol418 = [1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol419 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol420 = [1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol421 = [1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol422 = [1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2] pubkeycol423 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2] pubkeycol424 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol425 = [2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol426 = [2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol427 = [2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol428 = [2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol429 = [2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol430 = [1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol431 = [0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol432 = [2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol433 = [1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol434 = [1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol435 = [2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol436 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0] pubkeycol437 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol438 = [0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0] pubkeycol439 = [1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2] pubkeycol440 = [0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol441 = [2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol442 = [0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol443 = [1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1] pubkeycol444 = [2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol445 = [0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol446 = [2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol447 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol448 = [0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol449 = [0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol450 = [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol451 = [2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol452 = [2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol453 = [2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1] pubkeycol454 = [1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol455 = [2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol456 = [1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol457 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol458 = [2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol459 = [0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol460 = [0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol461 = [2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol462 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol463 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol464 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol465 = [1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol466 = [2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol467 = [1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol468 = [2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol469 = [2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol470 = [0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol471 = [1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol472 = [1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2] pubkeycol473 = [2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol474 = [0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol475 = [1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1] pubkeycol476 = [2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol477 = [1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol478 = [2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1] pubkeycol479 = [1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol480 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol481 = [0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2] pubkeycol482 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0] pubkeycol483 = [2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol484 = [1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol485 = [0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol486 = [1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1] pubkeycol487 = [1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol488 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol489 = [1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol490 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol491 = [1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol492 = [0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2] pubkeycol493 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0] pubkeycol494 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol495 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol496 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol497 = [2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol498 = [2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol499 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol500 = [0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol501 = [1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol502 = [2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol503 = [0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol504 = [0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol505 = [2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2] pubkeycol506 = [0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol507 = [0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol508 = [1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol509 = [0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2] pubkeycol510 = [2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol511 = [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol512 = [1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol513 = [2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol514 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol515 = [1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol516 = [2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol517 = [0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol518 = [2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol519 = [0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol520 = [1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol521 = [1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol522 = [1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol523 = [2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol524 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol525 = [1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol526 = [1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol527 = [0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol528 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol529 = [1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol530 = [2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol531 = [2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol532 = [1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol533 = [0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol534 = [2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol535 = [1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol536 = [1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol537 = [1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol538 = [0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol539 = [0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol540 = [1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol541 = [1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol542 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol543 = [1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol544 = [0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol545 = [1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol546 = [2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol547 = [0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol548 = [0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol549 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol550 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1] pubkeycol551 = [1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol552 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol553 = [0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol554 = [1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol555 = [0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol556 = [2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol557 = [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol558 = [2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol559 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol560 = [0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol561 = [1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol562 = [0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol563 = [0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol564 = [1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol565 = [2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol566 = [1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1] pubkeycol567 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol568 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol569 = [2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol570 = [1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0] pubkeycol571 = [0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol572 = [2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol573 = [0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol574 = [2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0] pubkeycol575 = [2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1] pubkeycol576 = [1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol577 = [2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol578 = [2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol579 = [2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2] pubkeycol580 = [1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol581 = [0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol582 = [1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0] pubkeycol583 = [1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol584 = [0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol585 = [0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol586 = [2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol587 = [0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol588 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol589 = [1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol590 = [2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol591 = [0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol592 = [0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol593 = [1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol594 = [0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol595 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol596 = [2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol597 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol598 = [2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol599 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol600 = [0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol601 = [0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol602 = [0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol603 = [1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol604 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol605 = [0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol606 = [1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1] pubkeycol607 = [2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol608 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol609 = [0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol610 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol611 = [0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol612 = [2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol613 = [2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol614 = [0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol615 = [1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0] pubkeycol616 = [1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol617 = [1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol618 = [1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol619 = [2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol620 = [1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol621 = [0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol622 = [1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol623 = [2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol624 = [0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol625 = [2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol626 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol627 = [0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2] pubkeycol628 = [1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol629 = [0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol630 = [1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol631 = [1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1] pubkeycol632 = [0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol633 = [1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol634 = [0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol635 = [0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol636 = [2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol637 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol638 = [1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol639 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol640 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol641 = [2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol642 = [2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol643 = [1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol644 = [1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol645 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol646 = [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol647 = [0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol648 = [0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol649 = [2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol650 = [1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol651 = [1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0] pubkeycol652 = [0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol653 = [2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol654 = [0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol655 = [1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol656 = [1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol657 = [1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol658 = [0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol659 = [2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol660 = [2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol661 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol662 = [2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol663 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol664 = [1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol665 = [2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol666 = [1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol667 = [1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol668 = [0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol669 = [1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol670 = [0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol671 = [2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol672 = [0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol673 = [1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol674 = [0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol675 = [1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol676 = [0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2] pubkeycol677 = [1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol678 = [0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2] pubkeycol679 = [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol680 = [1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol681 = [1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol682 = [1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol683 = [2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol684 = [0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol685 = [1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol686 = [0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol687 = [0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol688 = [1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1] pubkeycol689 = [1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol690 = [0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2] pubkeycol691 = [2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol692 = [0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol693 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol694 = [2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol695 = [1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol696 = [0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol697 = [0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol698 = [1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1] pubkeycol699 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol700 = [2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol701 = [0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol702 = [1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol703 = [1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol704 = [0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol705 = [0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol706 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol707 = [0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol708 = [0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol709 = [2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol710 = [2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol711 = [2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol712 = [1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol713 = [2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol714 = [0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol715 = [0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol716 = [0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol717 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol718 = [1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol719 = [1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol720 = [1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol721 = [2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol722 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol723 = [0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol724 = [0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol725 = [1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol726 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol727 = [0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol728 = [2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol729 = [1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol730 = [0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol731 = [1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol732 = [2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol733 = [2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol734 = [0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol735 = [1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol736 = [1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol737 = [1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol738 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol739 = [1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol740 = [2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol741 = [1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol742 = [0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol743 = [2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol744 = [2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol745 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol746 = [0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol747 = [0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol748 = [0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol749 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol750 = [2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol751 = [1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol752 = [2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2] pubkeycol753 = [1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol754 = [0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol755 = [0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol756 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0] pubkeycol757 = [2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol758 = [2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol759 = [2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol760 = [0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1] pubkeycol761 = [1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol762 = [0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol763 = [2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol764 = [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol765 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol766 = [0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol767 = [0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol768 = [0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol769 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol770 = [2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol771 = [2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol772 = [0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol773 = [0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0] pubkeycol774 = [2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol775 = [1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol776 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol777 = [2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol778 = [1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol779 = [1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2] pubkeycol780 = [0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol781 = [0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol782 = [1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol783 = [0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1] pubkeycol784 = [1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol785 = [0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol786 = [2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol787 = [2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol788 = [2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol789 = [1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1] pubkeycol790 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol791 = [2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol792 = [0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol793 = [1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol794 = [1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol795 = [2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol796 = [0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol797 = [1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol798 = [0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1] pubkeycol799 = [0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol800 = [1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol801 = [2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol802 = [0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol803 = [2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol804 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol805 = [2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1] pubkeycol806 = [2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol807 = [1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol808 = [2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol809 = [0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol810 = [1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol811 = [2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol812 = [1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol813 = [0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol814 = [2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol815 = [0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol816 = [2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol817 = [0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol818 = [1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol819 = [0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol820 = [0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol821 = [1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2] pubkeycol822 = [2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol823 = [0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol824 = [2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol825 = [2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1] pubkeycol826 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol827 = [0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol828 = [2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2] pubkeycol829 = [2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol830 = [1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol831 = [2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol832 = [0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1] pubkeycol833 = [1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol834 = [1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol835 = [2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol836 = [0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol837 = [1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2] pubkeycol838 = [1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol839 = [0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol840 = [2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol841 = [0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol842 = [1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol843 = [0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol844 = [0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol845 = [1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol846 = [1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1] pubkeycol847 = [0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol848 = [2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol849 = [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol850 = [1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol851 = [2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol852 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol853 = [2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol854 = [2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol855 = [1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1] pubkeycol856 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol857 = [2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol858 = [0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol859 = [0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol860 = [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0] pubkeycol861 = [2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol862 = [0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0] pubkeycol863 = [0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1] pubkeycol864 = [2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol865 = [2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol866 = [0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol867 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol868 = [1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol869 = [0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol870 = [1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol871 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol872 = [1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol873 = [1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol874 = [0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0] pubkeycol875 = [0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol876 = [0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol877 = [0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol878 = [0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol879 = [0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol880 = [2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol881 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol882 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1] pubkeycol883 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol884 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol885 = [2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol886 = [1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol887 = [1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol888 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol889 = [1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol890 = [1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol891 = [0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol892 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol893 = [0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol894 = [1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol895 = [0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol896 = [1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol897 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol898 = [1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol899 = [1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol900 = [0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol901 = [1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2] pubkeycol902 = [2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol903 = [0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2]