kilobytes = 23.7512202866857 q = 3 m = 6 n = 729 s = 0 t = 22 u = 44 k = 465 w = 33 ciphertext = [0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol264 = [2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol265 = [2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1] pubkeycol266 = [2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol267 = [0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol268 = [2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol269 = [1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol270 = [2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol271 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol272 = [1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0] pubkeycol273 = [0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol274 = [2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol275 = [1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol276 = [0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol277 = [1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2] pubkeycol278 = [1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol279 = [1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol280 = [0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol281 = [0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol282 = [0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol283 = [2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol284 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol285 = [2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol286 = [0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol287 = [2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol288 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol289 = [1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol290 = [2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol291 = [1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol292 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol293 = [0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol294 = [2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol295 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol296 = [0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol297 = [2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol298 = [2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol299 = [2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol300 = [1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol301 = [0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol302 = [1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol303 = [1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol304 = [0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1] pubkeycol305 = [0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol306 = [0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol307 = [2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0] pubkeycol308 = [0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol309 = [2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol310 = [0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol311 = [2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol312 = [1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol313 = [0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol314 = [2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2] pubkeycol315 = [0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol316 = [2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol317 = [0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol318 = [0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol319 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol320 = [1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol321 = [1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol322 = [0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol323 = [2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol324 = [0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol325 = [2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0] pubkeycol326 = [1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol327 = [0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol328 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol329 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol330 = [0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol331 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol332 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol333 = [1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol334 = [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol335 = [0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol336 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol337 = [0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol338 = [1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol339 = [1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol340 = [2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol341 = [1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol342 = [0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol343 = [0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol344 = [1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol345 = [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol346 = [0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol347 = [2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol348 = [2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol349 = [2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol350 = [0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2] pubkeycol351 = [2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol352 = [0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol353 = [2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol354 = [0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol355 = [0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol356 = [1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol357 = [0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol358 = [1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol359 = [1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol360 = [0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol361 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol362 = [1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol363 = [1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol364 = [0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol365 = [1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol366 = [2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0] pubkeycol367 = [2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol368 = [2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol369 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol370 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol371 = [2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol372 = [0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol373 = [2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol374 = [1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol375 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol376 = [1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol377 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol378 = [0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol379 = [2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol380 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol381 = [1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol382 = [2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol383 = [2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol384 = [0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol385 = [2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol386 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol387 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol388 = [1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol389 = [1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol390 = [1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol391 = [0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol392 = [1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol393 = [1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol394 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol395 = [0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol396 = [1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol397 = [1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol398 = [1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol399 = [2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol400 = [0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol401 = [2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol402 = [0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol403 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol404 = [1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1] pubkeycol405 = [0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol406 = [1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol407 = [0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol408 = [0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1] pubkeycol409 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol410 = [0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol411 = [2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol412 = [2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol413 = [2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol414 = [1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol415 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol416 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol417 = [2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol418 = [1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol419 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol420 = [1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol421 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol422 = [2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol423 = [1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol424 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol425 = [0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol426 = [2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol427 = [0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol428 = [1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol429 = [1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol430 = [1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol431 = [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol432 = [2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol433 = [2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0] pubkeycol434 = [0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol435 = [1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol436 = [2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol437 = [1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol438 = [2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol439 = [2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2] pubkeycol440 = [1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol441 = [0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol442 = [2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2] pubkeycol443 = [0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol444 = [2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol445 = [0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol446 = [2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0] pubkeycol447 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol448 = [0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol449 = [0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol450 = [1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0] pubkeycol451 = [0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol452 = [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol453 = [0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol454 = [1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol455 = [2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol456 = [0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol457 = [0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol458 = [2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol459 = [1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol460 = [0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol461 = [0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol462 = [2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol463 = [2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2] pubkeycol464 = [2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol465 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol466 = [0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol467 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol468 = [2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol469 = [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol470 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol471 = [0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol472 = [1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol473 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol474 = [2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol475 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol476 = [1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol477 = [1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol478 = [1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol479 = [1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol480 = [1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol481 = [2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol482 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0] pubkeycol483 = [0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol484 = [2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1] pubkeycol485 = [2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol486 = [2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol487 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2] pubkeycol488 = [0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol489 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol490 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol491 = [1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol492 = [1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol493 = [1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol494 = [2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol495 = [2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol496 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol497 = [0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1] pubkeycol498 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol499 = [1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol500 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol501 = [0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol502 = [2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol503 = [1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol504 = [1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol505 = [0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol506 = [0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol507 = [0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol508 = [0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol509 = [1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol510 = [1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1] pubkeycol511 = [1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol512 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol513 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol514 = [2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol515 = [1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol516 = [0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol517 = [2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol518 = [0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol519 = [0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol520 = [2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol521 = [2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol522 = [1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol523 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1] pubkeycol524 = [0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol525 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol526 = [0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol527 = [1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol528 = [2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol529 = [2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol530 = [1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol531 = [2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol532 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol533 = [2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol534 = [2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0] pubkeycol535 = [1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol536 = [2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol537 = [2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol538 = [1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol539 = [0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol540 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol541 = [0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol542 = [0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol543 = [0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol544 = [1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol545 = [1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol546 = [0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol547 = [1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0] pubkeycol548 = [2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol549 = [2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol550 = [2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol551 = [2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol552 = [0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol553 = [0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol554 = [2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol555 = [2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol556 = [2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol557 = [1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol558 = [0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol559 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol560 = [2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol561 = [1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol562 = [0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol563 = [2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol564 = [2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0] pubkeycol565 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol566 = [1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol567 = [0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol568 = [1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol569 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol570 = [0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol571 = [1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol572 = [1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol573 = [0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol574 = [2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol575 = [0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1] pubkeycol576 = [0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol577 = [2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol578 = [2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol579 = [2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol580 = [2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol581 = [0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol582 = [1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2] pubkeycol583 = [2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2] pubkeycol584 = [1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol585 = [0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2] pubkeycol586 = [0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol587 = [2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1] pubkeycol588 = [2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol589 = [1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol590 = [1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol591 = [0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol592 = [1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol593 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol594 = [2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol595 = [0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol596 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol597 = [2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol598 = [2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol599 = [2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol600 = [0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol601 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol602 = [2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol603 = [1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol604 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0] pubkeycol605 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol606 = [0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol607 = [2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol608 = [0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol609 = [2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol610 = [2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol611 = [2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol612 = [2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol613 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol614 = [0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol615 = [2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol616 = [0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol617 = [2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol618 = [0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol619 = [1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol620 = [1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2] pubkeycol621 = [2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol622 = [2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol623 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol624 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol625 = [1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol626 = [0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol627 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol628 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol629 = [1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol630 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol631 = [1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol632 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol633 = [1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol634 = [1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol635 = [0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol636 = [0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol637 = [0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol638 = [1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol639 = [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol640 = [1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol641 = [1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2] pubkeycol642 = [0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol643 = [2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol644 = [2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol645 = [1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol646 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol647 = [0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol648 = [2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol649 = [1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol650 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol651 = [1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol652 = [2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol653 = [0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol654 = [1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol655 = [1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol656 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol657 = [2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol658 = [1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol659 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol660 = [1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol661 = [0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol662 = [2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol663 = [2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol664 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol665 = [2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol666 = [0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol667 = [2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol668 = [2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol669 = [1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1] pubkeycol670 = [2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol671 = [0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2] pubkeycol672 = [2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol673 = [0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol674 = [2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol675 = [0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol676 = [2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol677 = [0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1] pubkeycol678 = [0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol679 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol680 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol681 = [0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol682 = [2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol683 = [2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol684 = [2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol685 = [2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2] pubkeycol686 = [2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol687 = [1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol688 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0] pubkeycol689 = [0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol690 = [2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol691 = [2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol692 = [2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol693 = [2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol694 = [0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol695 = [1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol696 = [0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol697 = [1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol698 = [1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0] pubkeycol699 = [0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol700 = [0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol701 = [0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol702 = [2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol703 = [2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol704 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol705 = [1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol706 = [2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol707 = [1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol708 = [1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol709 = [1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol710 = [1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol711 = [0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol712 = [2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol713 = [1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol714 = [1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol715 = [0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol716 = [0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol717 = [1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0] pubkeycol718 = [1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol719 = [2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol720 = [1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol721 = [2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol722 = [2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol723 = [0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2] pubkeycol724 = [0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol725 = [2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol726 = [0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2] pubkeycol727 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol728 = [0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1]